IM Alg2.4.15 Lesson: Using Graphs and Logarithms to Solve Problems (Part 1)

[size=150]Here is a graph that represents an exponential function with base [math]e[/math], defined by [math]f\left(x\right)=e^x[/math].[/size][br][img]data:image/png;base64,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[/img][br][br]Explain how to use the graph to estimate logarithms such as [math]\ln100[/math].[br]
Use the graph to estimate [math]\ln100[/math].[br]
How can you use a calculator to check your estimate? What would you enter into the calculator?[br]
[size=150]The expression [math]1\cdot e^{\left(0.06t\right)}[/math] models the balance, in thousands of dollars, of an account [math]t[/math] years after the account was opened. [br][/size][br]What is the account balance when the account is opened?
What is the account balance after 1 year?
What is the account balance after 2 years?
[size=150]Diego says that the expression [math]\ln5[/math] represents the time, in years, when the account will have 5 thousand dollars. Do you agree? Explain your reasoning.[/size][br]
[size=150]Suppose you opened this account at the beginning of this year. Assume that you deposit no additional money and withdraw nothing from the account. Will the account balance reach $1,000,000 and make you a millionaire by the time you reach retirement? Show your reasoning.[/size]
Noah is 15 years old and wants to retire a millionaire when he is 60.[br] If he invests $1,000 today, what interest rate would he need to achieve this goal?
[size=150]A population of cicadas is modeled by a function defined by [math]f\left(w\right)=250\cdot e^{\left(0.5w\right)}[/math] where [math]w[/math] is the number of weeks since the population was first measured.[/size][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAS4AAADLCAYAAADQvn7GAAAgAElEQVR4Aey8d3BU5/22j2PTjOkgegcbcDfYxt0GY4zBdNORQKh3CfXee1n13tuqd2m12tWqSwjUe6G4JHESO3EcxzVw/eaclbCdvL983/fP74yZuec5u5wZNAe45r7v5/OcGfz267cn8NsT+O0J/C97AjP+l/28v/24vz2B357Ab0+A38D12z+C357Ab0/gf90T+A9weaYZ45VuMiUjfDKM8c0ywTfbGL8cEwJyTQmSmhKcb0pIoQUhRRaElZgTVmaGpNyMiHIrIsusSFBcJq7xPWKb9hPb+DZRqleIVO0mTPkUIfJNSOo2EFG3kTDZJgIq1+FdtgbP0nW4F63HJW8FDllLcUhbgEf6SmKKXiZHdoJcxVmkzToU3LhG/k0X8m64I/2F8m56IOqGN3k3vcnv8hRV0OVJ1nVX4hpsCKoxxr1UB6dibZxKdXAp08O9wgivKnN8a23wr3MgUOlCaIMHkkZvIpr8iGwNILo9hJiOUOKuS4i7Hk7c9UjiO6NIuBFDUlccKd0JpPYkkdabQnpfBhn9OWQN5pI9JCV3qADpQDH5A2UUDVZSPlxD9WgddeP1KCZUKCcbUE42ohxvRDk2vTahGGuiTtBoo3oda6ZOVBOK8SaUE82oJtpomGyn8VYnzXe7aP2kl7bfD9D6WT8tn/bReLebulvXqR5roWxQRVGvnPyeSvJ6yigbqkIxWUtqexSBNdb4V+njV3UG/+rj+Fcfxq/6AwJlhwhVHCW8/gSRqlNEN5wluvEMUY2niVCdIrz+JOHKk0iUJwhVHiNEfoRg2SECq97Dr2wvnoVv4Jr7Io4Zz2OTtB3P7J0Elj6Ha85T6ASvwjB6PbrhK7jgv4CPPB/ljNdjnPedhVncWq4lr8M8aRmmCQsxiJ6JefxS7DM2YJe8Cru4tdgnrsQufjk2scuwjF6MRcyjmEc/innUQsyjlmMWuRTzyOVci9mAReRWLKO3YhmzBdOIjegHrEfLYRXnLFbwoeZi9h9dwHsfLuKk5nKu2q7CMmAlLtFr8EveQGjmJkJzNhGQvRHP9HXYJCxHXzIL7dAZmEXNwypwA5cvruHoriVovrES7aNPsvsJDQ68vJnz+3ZifvZlAq3eRWJ3Fie9g5idfomrBzdic/4pLM48zrWLz3PpwFq0tJZg5DMfy8CV7D+8kH1HF3DJYRGGoYtxDN+KteFKrr45l0s7f8eVHTOw2v07PN+dQ9Dx+UguLifOfBtxHi8TGPoaMSXvktTwIbGqDwlXHEJSf4KIxovEtOuR2GVFSr8LGaNeZI/7kTcZRNGdMEo+iaL893FU/TEJ2Z/SUPwlm/ov82n6qpSWryto+6aG9n/Wcv27Om78UE/3v5rpvd9OHx0M0MkQN6fUxQg9DNMtauh+18/X4j3XGaKNIRoZRMkgdQwi/zcpGaKBIVoZRLj/5q/g+n8AlyECvDzTDPFKN8I7wxifTONfgStQakpQvhnBBeaEFJoTWmxOWKk5klJLIiusSJJ7E1unTbRqL9GN7xBZ/zoSxS7C6p4lpHYnQdVbCKraQGDVRvzKN+JVuhr34uW4FCzDMXcpdpmzsUt/CKes2fjmbSCi7FXS6j5C2qJPfsc1pJ2O5F53Q9rpSW6nuyhppzuiRJB5kXfDi7ybniLIcjrdSGq0QyIzw7tMD+fiqziX6uBaoY97pSGe1aZ411jhW2uLv8KRwHpXQgRwNfkQ2SJAK1iEVqwILTWw4jujRWgl3oz9BbiSSetNJaM/i6yBXLIHpeQM5iEdKkQ6VIx0sJyCwUpKh2uoGq2jdlyJfEKFYqJBrfFGFOON1I3/AlijjchHG6kVVxXyURV1oyoUYw2iBNjVT7TQeKuDpjs3afm4l9ZP1dBq+riH+js3kU90UDXSROlAPYW9teT3VlHYV0nlSC2q2yqk3WmEKZwIrNEjUHaOQNkJEVp+Ve8RUHOA0LojSBRHkSiPE648QUT9SSJUJ4lUnSRCeQKJ4jhhdccInYJWsOyDKXC9g1fR67hKX8Ih/RmsE7fjmrGDgMLn8ZQ+i17oakyjN3E1TINzvvM54TqLY64zMJBocC15I2aJKzGMm4dB7Cz0oh/GImkJLtLtuOXsxCVpE54pi/FK08AjdTkOiUu4Fj0f04i5mEbMxiR8AaaS+ViEL8ImZj0mklWYhq/GRLIG/eAV6Pit4IrbMrScVnDGbClHLy/i6MUlnDVYjo7DCiwDVuAqgCtpAyHpGwnN2kxA1kbcU9diGbsI3ZCHuBoyA/MwDbSvrOL4a8v5aM9adA5sxvzCG1x8fycnXt/M6dc3YnLyaaKc3sfd9BDXtN7B9PRLGB1/CovTT2N44gkuv7+Wi28t4dyHj3HVaTGmfsv58PwyjmotxdBLA5fETQTE7cBCdx1ah5ag/c48HA4/RqTpZqI8Xkfit4/QoAOExxwnMuMcMfnnSVIeJ7XtCGkdx0hu/4jkjoskduiQ2GlCcrc16QPuZI8J0Aqm6E44pZ9EU/5ZHJV/TKTm81Tkf86k/kspDX8rounvZbT+o0oEV8e3cjq/V3Dzx0Z67rWI0OrnOoPc+A9ojdDNv2sYAWLCve0M0STCaRAFagkAm4bYNLhaGPq/B5cAr1+AK+sX4MoxRQBXYJ4pwQVmhBSaEVpkjqTEgsgyO3JbYyjqSiG2XpMo1V4i618hrG4XofJnCZU/SXDNE/hXbMW3bCPeJRvwKFqLa4EGTnkLsM+Zg23GTOwzZuKWs4SAoi1EVL5CsvIkOa0GSDtsye1wJqfDjZwOT3I7vMi97knudfcpCSDzILfTC2mnAC/h2o2UZnsias3wKdPDpUgbJwFc5bq4VRrgWWOMt8wcn1pr/OR2BCidCFK5EdLoiaTJl8jWQKLbQ4ntEJyWAC01sBJuxJJ4M46krgSSuxNJ7RGglUZGXyaZ/TlkD+aRIzitoULyhouRDpUgHaqgYLiKkpEaKkbl1IwrkU2oRHjJxxqQTzQgn2yidrwJ+ZhataMNyEYbqBlTIRtVUjumRC5oRIliTIlyQoVqspnG2x003+kSwdX8SS8CtBrudqG41UnteDtVw02U9Csp6KmlsKeG0kGZ+Oe2fNqK6pM6klqDCKw2IKDmEgE1J/GvPoRf1fsEVh8gtPYwofLDhNUdIUwE2DEkymOEK48RoTwmQi1U/iEhskMEVR8QoeVfvg+fkrfwLHxVdFz26c9glfAE9imP4y19Eo/cnZiGaWATsY6rQUs44zmHo46/47jrDMxj12GesAaD2EXoxcxGL3YWOlEPYZWyEpf8HfiWvUyc/DCh+XvwSluHe8o83JIXYRu3ANOImRiFPYJByKMYhczGXDIfm6jVGIUuxSh0BfpBy9APXIau/3J0fZeg470ULeclXLi2mLNmi9G0WYaBuwbWIStwi12Lf/IGQtI2EZq1Bf/MTbimrMUyZhF6ob/DKGwu5g7r0Tq4kuO7NTj64krOvLUKs1M7CTTajcXxHVx5bzOWHz1DtPNhTM+/jen5V7G69DLWF1/Cw/AdrC49j/6RzWjuW8aJdxZwTmsJuvbLuWC2GmOvrbgm70BSspuogpfxk+zB3uNFbB124e26h4iI9wlOOIlPwlk84y7iGa+Fd/IV/LMuE1Z5jOiG94hrfZ+E6ydJu3mFjG5jMnqvkdnvQPawF9KJQIpuR1D2SSyVnyVS/Ydkaj5PQ/7nLBRfSFH9tVB0W63/qKTtm+oHbuvmjyq6/9VI7/3WKbf1M7QElyW4rRF6xXWUHgQJ36lXwYXdZJjrDNPGsAiveoYQQCVIgJhcXIdQTcFNgNz1/+64vNKnoWUoui3Rcf0buAJyTQjIMyGowITgQlPCii2ILLclTRmIbKSI1OZrRNcfFqElUbxAqPwZgmU7RWgFVm3Dp2wTnsXrcS1YiXPechxzF2KXNRub9IewS3sE99zlBJc8SVzN26Q3nEPaZoa0w46cdhey293JbvcQwSXAK6dDuFZLDTEBXmpwCQ4so82JGIUFfuW6uBRq4VCoiWOJtui2PKoN8ZKZ4lNrga/cBn+FPQFKZxFcoQ1eanC1BBLdJiG2I+IBtB4AqyuJlO5kUntSSetNJ6Mvi6z+XLIH1NDKHSpCOlxC3kgZ0uEy8kYqKRippmhURtmYnOopcNVOqqidbKB2spFaAVwTjdSON1M71oxsvIHqsXqqRhVUjtSJEbNmpA7ZiJzakToUYwK4Wmi6fZ2mO1003+0W46EArfrbN6ibvE7NaCsVQ40U9Skp6K6luLeW6iEFqjutXP/8Ot1/7UJ2qxiJ3Aa/ykv4VJzEt+IQ/pXvE1D1HkE1BwiqeZ9Q+QciwASIhdYdmvr8AWHC59qDBAv3Ve0noEKA1tt4Fr6Oe97LOGfvwi7taawSt2OVuBWntK04Jq/GKnIRLlGrMfBfxEeus/jQ/iHOe8/DPH4NRrFL0I2aw9Xoh9GJmYlu1Cxs0zfgWvA0YfL9VI44UDfmR7B0H07Ra7ANX4JFyCIMg2ahF/QIuoGz0Q14CJOQ2VyLWIFhyBJ0Axah678E/YDlGARqoBe4WP2dz2K03RdzxWUBep6LMAvSwD5yFZ6Ja/BP3UCIEBVzt4qOyy11NTZxSzGLWIClzypsdDaj/c4Kju3W4P3nNTj8sgZGx9cQYvw0rhefxPyjnVife46Qa+9z6cBuLh96GstLu7C/8gKepm9geOpxDI9uQPvQaj58bT4fvPMYV0xX4RT1FGFlrxCrfIN41VvEyPcSWX6AoLyD+Gcdxjf9GD6pp/FMOodrwkVcYrVwidbGJVYHz2QdfAtOEVS7l9CGN4lo/YDEzguk9xqTNWBD7rAL+eM+FN4KovRuJJWfJlHzh1Rkn6cj/3M2ii/yqP9rEY1fldH89TS0ZHR8W0fn9yq6fmqg+14TfbSjdltCRPw5Dqqh1cco0+plFEHCZwFiAtxuMsp1RkV4NaKGlJJhEV51DCHol66r/b+DyzvTAK8MAwSATUdF70wjfLOM8cs2wT9b6LlM8JcaE1RgLIIrotSKFKU70o4QEpt0iVIeIkL5CtPQCqrdjn/1FvwqNuFdug6P4pW4Fa3AUboY++x5osuyTn0E27RH8JCuILRsJ3HyvWS2XCD/uhnSdkey2pzIapsGlwAv9wfAmgaXsArwyhFdmAA1V5KbbAmtMcK9WAuHggvYF13CqUwb90p9tduqNcdXboVfnRAT1f1WcL07YQ1ehAv9VnOQCK646+o+S4iGyd0JpHSnPABWel+m2Gll90vJHcgnd1BwWmpoSUfUwMofqaJgtJrCsRqKxmopHZNTMa6kekKF7JfQGlc7LhFaY01UjzVQNaKkYriO8uFayodkoqqGZNQM11E30kD9eCsNk9dpvH2TxjtdqO50iRFRceuGOiaOtlI22Ehhn4L8nlpKeuXIRxpo/rhDhNbotyP0/72LnK4ofCsu4F1+DO+y9/At34d/5buiAqunAFZ9QHRVwbL3CJYdILjmvQcKqdlPcPW7BFTuxbf0TTwK9qj7rcznsU7eiUX8E5jHbMMyZj1WscuwiF6IU4wG5kEafOQ8m6NOMzGUrMU4dgV60Y9xNfIRrkTO4GrUQ+jHzsMhZxuexbtIbjlH3xfJfPovBYohCc5hb2Lmu5VzpkvRdnsM3YDZaPs/zFX/GRgFz8IyYjl6AQvQ8V+Eju8SdH2Xoee/BB1/4V7h+8fQ8ZmHnu98zIMXYRutgUvCarxT1xKQuZ6Q3E2EF2wnSLoZj4w1OCVpcC14Bcbay3A6uw7NVzU49rwGR3av4OALKzH5aBXGR5Zhe2Yzpie3YXp6J75m73Dq1c0cfWUVRqefxFn3Baw0t3P5g9UYHVuHwfE1nD+kweH3l2DpspMU1Vtk3nyNlOuvEd/0OpHKdwir3kdwyfsESA/jm3kcz5QLuCdewi1eE9cYLVyiruIco497ogFe0vMECH8fqteQNO8j5vpJErt0SOuzIGfYkYJJL4rvBFL+cSTVv0+m9vMMEVrKL/NRPYBWhRgR2/9ZgzoiKpl2Wz0P3NZ0t6UGl9ptTQPr1+uYCC4BYIL76mKMG4zRwQjNDIt91rTz+hlcg+L3zQzR8t/B5Zulj2+mPj4ZhvgIHVeasbj6ZRrhJ8Arxxj/XGMCpCYE5ZsQWmhFVLklCQpNopQHiFLtI6r+TSSK3YTUPk2w7HF8KzfhWbZK7LHcCpfikr8Ix9zF2GctwDp9Ftapv8M+/WG88hYTWraD+Lp9ZLdeIq/TlJx2WzJbnchsdSWrzZlsUW5ktbmJzuuXAPvltdCBZbY7Ed9wjYBKfVyLBLd1HoeSizhX6OAhdFs1gtuyfACtAIWz2G8Fq9wJbRCKeX+iWtX9VlxnBD9DS3BZ6aiBlU3mgFR0WQK01H1WEXnDJeSPlpM/Wk3BWI3otApHBWjJRHCVjMkpH6+nSnBU443UTDRRM96s1lgTNWMtVI82UTmsomJQSdlAHaUDMsoGaijvr6FyoIaaYQFATSjH21FNdlJ/6wbK2zdQiLqJfPIG1eMdVI62UTrQSEGvkjzBcfXUUjukpO2z6/R9PcTkD5Pc+n4c1d1KfMrP4l16GO/ifXgXv41v2V4CKveL8PKr2Idf5T78qvYRWPUuQdXvElS1T1Rg5T4RWAGVbyHIr+x1vIvU4LJLexbLhB2YRm7CLHIjVnHrsIxdjnnkEmyiF2MesJQzjo9y1vNRzGNXoRuxCO2IeWhHzOZK+ENcjpyBQdx8HHO24lfxGmUDNvz5h3q+oouPf6pj9J/FKMdC8c/4ENPApRgGzUPHfwY6/g9jEjobC8lCLns9irbXAjEe6vkvEoGlGzAXHf9Hueo3Bz2/RzEMeEzsxBwThN5sNX4Z6wnK2YQkfwtRxU8SlP84XpnrcYldj66pBqdfm4vmm/O59JoGp19Zydk31nH29fXoHt6IwbGVWJ/djMVHj2N04gnc9V7iwt4NXH5vLRanN2On/TS2Bk9z/M1FHH1zIScPLODipTU4SV4iXvYGub2vk9nzGikdbxLX9A6Rin2EVe0nuOgwAbkn8Ek/g1fKJTwTtXCL08YlWg/nKH2covRxiTPAK/MKQRXHCat/VwRXdMdxEm5qktxrRPqgDbnjbhTeDqDy0whq/5CI/E8ZKMV4WCTGw+avK2gRei0BWt/Juf69ghs/qrj5U4PYbfXeb2NgqnsSeisRWPenXVUfY/cHGENQP+P0MUG/qDF6GaOHcboZ46YIrjHaGaOZURoYRQ2v4fvT8KpnEMGR/Q/g8svVwzdbH98sA3wzjfBJN8En3RDfqd1FwXUJjisoz4jIMidyW5JJa/AmUn6QSNUbhCvVnZYArcCax/EToFW6GreipTjnLcAh91HRZdllzcU242Fs0x/COXsuvoUrkFQ8QYLiTTJaTpPTYUBOuxWZLXZktriQ1eJKlgAvEWAuIrjU8FK7L3WEVF+LrqvDjdQWByLqLPAp18Ot9ApOJZdwLNPCpVIHjyp1TPSVW+KvsCFAKZTyLg+K+bBGHyJaAohpCyGuU0LCjUh1CS/uHKoL+MwBAVq5ZA3mkT2YT+5QIUI8zB0uQTpaRt5oBQVjleSPCm6risLRKooExzVeOwWvOirG66kcVz0AWLXgskabqBptpHKkgYqhesqHBGjVUtJfQ2l/DWUCuAZrqRlRIB9pRjHWhmLiOspbnWKnVXerE0G1k9enwNVKyWAD+b0KEVwFXTIq++S03W1n8G/D3P3+Y/7w02cM/rWLoEp9vIs+wK3wLdwLX8er6FV8S9/Gr3wvPmUCyN7Br/wd/CveIaDyHfwqhN8T9Ca+Za/jU/oaPiWv4lW4B4+8l3DN3YVj5vPYJu/ERui4krZjk7gBi5glmEYswCpyHlZBi9F0exSd4BUYxGigLXmMy5I5XImYzeWI36EVMQPD+MU45G7Ht+JNKoec+duPbXzLEH++18rt76sY+HsBLR/HEV1yBquQtej6zUHbbxaGQY9gGboEbZ/5otu66r2Qq77zuer3qOjCtDwfQ9PzUS57zkLX9xGxE3OIX6EGV+Z6AnPXEVqwjqjSbYQUbsE/Zz1+KVswt9yA0cEVWB3ZjNGBdVx8ew1a+9ag/e4q9E5sQu/IFrT2ruXsm6u4dHAjl/ev4+Jbq9Hevwqdw+swPb8dL8vdaB5ZwelDGly5spmAhNcp6H2XopG9SAffJrP7LVLb9xLX8B6R8gNIKj4gpOgEgbln8M04j3fKZTwTL+MWq4tzlAFOEYY4RRrhHGksxsWA4jOEKj8gvHk/0R0fEn/zHEk9eqQNWJE96kzBpC9ld8Oo+X28CK76L/No/FuJuIOohpYQD+Vc/07BjR8axEK++18tCNASdhIH6RT7KjH63RdcVN8UqARIDTLOIBMMPICWGl69TNDLuAgvwXVdZ5wOxmlhbApcIygZQcEwCoZEkAngav7vjss//yr+Ul18c34Brwxhd9EUnywj/HKMCMqzJL7KB2lrMvmdscSrrhKheJtw5S5C654lsOYJfKs2412xHs8ydTR0zV+GU+5C7LMewzZjHjbps8QS3kO6mMDi9URUCvHwZVIbPySz/QpZ7WZktlqT0WxPRpMLmc2uZLZMaRpg4upOdtuUhPjY7iqW9+mtzsSphPEHE3H8waVMGH+4jHP5FdwqdfCqNsJHZop/nSUBShsC6x0JUrkS3OCOpMmbiBY/otoCiekIIf6GhMSbUSR3x5Pam0x6XzoCtLIGhZEHKdlD+WQPFZAzXEjOcBE5w8XkjpROwUtwXRWiCkSQCQ5MRuFYLcVjcsrGFD/Da6KBqrEmqsYbqRxroHKknoohJeVDcsoGaykdqKFsUEbFkJyqISWykQbko63Ix9rESCj0WaJudSK/dYPayU5qBMc10krxoIqCPgV5PXLyu2SU9Mhommim/y8DfPLdXf5870/88btPkA1m4Vd8Ere8V3GVvox7/qsivPzK3hLjn0/J6wjyLXtNlHfpq4gqeQXv4j14Fr6MZ8HLuOe9iGvu8zhlPYNd2pPYJm3HLmk79knbsElcj2XsMswiF2EZ8xh2EcswD1qKYfgKrkgWohkyG82wOVwOV4PrStTDWKauwylvB15lr1LRZ8/XP7bzE6N8TQ+f/aRi7LsK+v+eR9snMWQ3mWETuRMj/6UYBszFJHgBl70WcNljIdpei7jqM5+rvvPQ9XtM/E7TbQEXXGZx2fMRjIMfwy52Ge6pq/HNXEtg9lrC8tYSXbKN8MLHCcpYT2jKFgJDd2Lw4SKMPlyL4cENXHhzDZfeWov+wY2cO7iGq0e3cv7t1Zx4fTmXDm1G8901XHl3DZrvruLM3jVoHViH+dENWJ98AjeDt/GwPUhM2jEqB49ROrGX/MH9ZHW9R0rb+8SpDhFZ+yGS8mOEFJ4hMOcifulaeKfo4JGgh2uMPs6RRjiFm+AUYYxzhBFu8br4SS8QKjtCRNN7RLW+T1znSRK6tEjpNyFz2A7phAcld4Ko+jQG+edpouMSRh/UZbw6Hl7/Tin2WsIuYtdPLfTcU0NL6LaGuIHabXU/6LDGp5zVBEOoNcgkAw80IbovNbwm6GacG4xznTHaGKOJMVSi6xoV4SV0XvUM08jw/wSugKIr+BdcwT/vKn450+5LKOoFaBkjKXEiTRlJTks46c3OxNafJ1K5l7C63YTInyRQthWfynXqaFi6CreS1bgVrsI1bwVOOcuwz1yIXfoC7NLn4JazjKDizURVPkOcbA+Jyv2kNp0ho02fjFZL0pttSW+yJ73JRVRGsysZLW5kTANMcGEtbmS1CuByI7vNRSzwhWgZr7IhTBh/KNfHtfQqLuWCtHGruIpXlR5+NcYEys0IUlgRXG9LsMqJkEZ3wpq9iGjxJarNn5iOIOI6Q4i/KSGpO5qU3gTS+gS3lTEFLvWclhpc+eQMT8NLDbDckRJyhWJe7LnUABOd11gNhUJkHK2lZLSO8jGlGl4TKirGG6gUNFpPxXS3NSSnfEjot2qpGJZTNVpP9UgjstFmEVrCrqEw8iCfuI5cgNbtm8hv3aR24iY1Y51UjnRQMthIUb+Kgl4F+d0yirprUIyo6Pr9TW59M8Ff/vU5X//rS/78zzvktfnhU/gerrm7xVEG9/yX8SoSwPSauApuyqvoRRFU3sUvIUj47Fm4G/f8XbjlvSA6LRFa6U9infwE1xK2YStqC9YJa6bAtRSL6PnYRQtzSsswCV3KxYDZXAyeiWboXLQkc9AKfxid2LnYZW3DUbodj6KXKe+x4x8/dnDv/gTfM8KX929w50c5w9+W0Pd1Pp1fZFHS5Yx36l6sQtdjHrIMTY95XHKbyxXPBWh5zEXLSwDVLLS9HkPT9THOOszigvNMdH3nYRWxBJekFXhnrCEway2hueuJKt5GZPF2gtM24R+9CTevrZzfv4Djryzm3J7VnHxBg49eWs6100+Ijsv8/A6MT23m3Lsr0Dq8Ht1Da9H5YA0f7lnCidfXo7l/I6d3aXD1jU2YH3oB8zPv4Gh9iPiCY5QMHyK//wOybh4mufUIcfXHiZKdQFJ2hpCCSwRmX8Ev7SreyXq4xxniHDUFrXBTEV6OEYa4ROvilaZFUOlpIuo/ILLpPWLbjxB/Q3BdOqQPmZMz5kThLW8qPgmn9o+JKP+STePfikTHJfRawryWUMbf+OFnaAlzWwK0hLkt9e5gl9hZCf3Vz9ASHNcQk6IGucUAtxnkNgPcoo9b9DJJH5MIAOtinE7GaWecZtF1/QyvekYQ1CD2YL+0XP8xxxVYqkVA8WUCCrVFePnn6uKXq0+A1Jyocg8qekro+LiD7A57opT7xGio7rN24l+9TQ2tcgFYK3EpXolL0Wpc81fjkrsCx+xl2Gcsxj59Ea7ZKwksepyo8ueIq36F+Nq9JCgPk9p0iYw2QzJarEhvsiWtyYG0JmfSm12nNAWuZpepCOlGVov7VIx0JqvViaQGa8JlJurxh+IruJRewRVzJRUAACAASURBVKVCB/dK3SloGRIkMyFMYY6k/hphKjvCGp2RNLsT3uJNZJsf0e0BxHYGE38zlISucJJ6YkjpSySt/9/BJURFwXVJyRkWlCc6MGEUImdI7b5yhkvIHS4VAZY/tbMo9F3Fo7WUjqpdV/m4kvKxelEVYyoqRpWUj9SJoBJ2EwUJO4vCDmPNWCOysVZk42qnJUJr8jryyWlodVN7q5vaiW5kY11Uj9ygfLid0oFmivpUFPbIKe6TqXuuO20MfznIH374hG/u/5Uf7/2Dz74aJElpgZv0FVxynsNV+oIoj/wXRTclrB4Fu6bg9RJehbvxLNglfucqfQ6X3OdwFpxW+pNYJT+ORcJWzGO3cC1OgNYmrsWvwSxqKWaRy8W4eC1yLi4xS7EOXc4l30fQCpmLZugsLoU9glbEI+jGCbvOj2Of9QRu+S9T3efKtz91ce/ebX66P8E3DPD5vTYmvq9m4J+l9H5TSM9X+VT1+OMQtptrIcunHNUCNN0e44LrI1x0e5jLXnPQ8pjJeaffccr6IU5ZP4KW20yMgxfgGLcCz7Q1+GetJSR3DeHFm4go3U6Y9AmCU57G3GoLWvs1OLV7Badf0ODDpxZy/tWlhFg8S6DFC9hd3I7xyfVcPLCSM3tXY3x8kzgq8fZTi3hj+yI+2L2Et7Yv5/Uti3n36ZW8/dwqDu7dir7la2S1nyCv7ziZN46S3Hqc+PrTRNWcRlJ6gZD8ywRm6eCXpodXkiGuMcY4hRvjKDHBSaIGl0O4EY4R+rjG6eCTc4HQqiNE1r9HdMtBYjqOE991keQ+AzKHrZBOuFJ6N5ia38ei+FM6DV/m0fz3UnH8YXrQtOunJtFp9d7veACtX7stobP6uccSIqEaWkPcmgLWnan1tgiufm6J9wjgUrsudc8lOK6GKdc17bzqp7qvpl9y6z+P/ARVXCSo7BJBJZcJLNImsFBHHHtIU4XTdvsmd7/5goEveohRniSs7gXCFM8SIn8Gv6pteJdvwqN0Ax7CBHzJWlwKV+Eijjxo4JSjgV3GQuwz5uOWs5Kgou1ElO4mruoN4qv3Eic7QILyOCktWmS2GZPRco30RnvSGpxJbxTkOuW8nMlodia9yYlMAV7NbqKyWlzIbHUktdmWSLkpvqVXcS64hEPhJZzKNXEVey1dfGr0Cag1JFRhgqTeHInKirAGWyRNjkia3Qhv9SGqw5+YziBibwhuK4zErkhSeoSYmPSz4xKGTAeFuDi9TkfHnyfms4fyxP4ra7CA7KFCEWTSoVLyhysRwTVWi1DSl4wrKBlXUjomwEtJ+aiSijEFlWN1VI8JsJqe92pGPtGKfLId+WQH8snrU0X8DbHTEp3W7ZvU3u5Gdqsb2WQ3soluasa7qBq9QflQCyX9jRT1KCnqkVE1WEvjeAO9n3dy5x9j/O1fn/Pj/W/4F/+g79NaJOVncMp+CgFGzjkCkJ7FPe8FPAtemnJWz+OWp5ZH/gt45u/CXfo8LjnPYJ+xQ3RalvHbMI/bgmm0sJO4Eev49VPgWo6xMCQauQizyHnYxC7AKWoxloHz0QldKnZcmpKHuBI1C+OkFVhnbuNa+lY8Cl5DNezPj/f6uX//Nvfuj/MDw/z9fg+f/tTE8HeVDHxbTO9XxWTXWmDjsxXLYA0uuMzhnPNszrs8wnnXWWh6zhHd1mmHGZyyf4hj1x7iiPkMztjNRM9vAbYxK/FIWYt/5lqCc9cRXiA4rp2EFDyOpPAFAiL3YHxyLVffWMuFl1Zw5LlFnNqzAE+9LXgZbkPvwEqxz7r6wUYuHliPwYmNnNizhFefmM8WjZk8tXYOb+1YwlvPr+LNV5dx+MONnNHcgab5E2S2nULae4rMzlOkNJ8mXnGOqOrzhJdoEZJ3lcBMA3xTTHCPM8E5wgTHMCMcw4xxkqglgMshXHBi+rgnaeKXd4KwqoNEqd4jsuV9xKK+S5O0ASOyR+0pmvSl8pNw5H9MQPlFFo1fFYlxsf2f8l9NyPfTyQA3RQmT7EJMVBftv4SW0GkJ0XCI2wwhAEutfu7Qx236ReclxEchNo7TxYTouFr/LSoKwFIyimIqOjb8d3AF15whuPICIRWahFboEiNzoLI3n8HPJ/j4my/p/kOXONDpX7lL7LKCZDsJrNmBb8Vm3EsEYKnlVrwW54KVOEiXYpu1GOu0udhnzMNDuprg4qeILH+VxJr3iK85SGzVfmJrD5DUeJS0di2y2kxJb75GWoMdqSonUhscSWtwIbXBmbRGJ9IFB9bkLHZfGU2uZIjuy4m0Znvi6i0JrNDFreAiDvlnsS88h1P5JVyrruBZrYevzJAguTFhCjPC6y1EcEkabQlrckDS4kpEmzeR7X5EXw9Ug6tLQkJXFEk9saT2JpLWJxzpSSejP5PMgV8qS5yYF6bmheM+auWS0Z9L5kAemQP5ZA8UkjugnqDPH6qicKSG4hE5xaN1ooTYWDaqoHxUIYKralxJzXg98luN1N1qpf5OB/V3Oqm/cwPlnZui6oV5rbvdKIWjPXe6kN/uEt2W/FYPtYIme0R4VY12UjHcQml/A4U9deR3V1DYU0btkIz2u40M/7mbz7+5xff3/sS9+9/y5befkt/mg0PG8zhnPoV71i7cs9Vg8i7ahVfBbtxyhaM7zz5YnbOexClzJw7pO7BL2S4e8bFM2IZx1EYMwlZiFbOBa8KOYswqLGJWYBKxCEPJoxiEzsRY8ghWUfNwCF2CYeBcLoU+woWwWWhHLcQidT1W6RuwTN1CUOUH9HyaJPZb9+/f5f79SX66N863DPLF/U5u/6hg6LtKGsejcZG8xmX7uRj5LEXTfR7nnedxxmGWCC9N95mctZ/FKZtHOGH9MEcsZojgOm75EFc85mIduRz35DX4pa+ZGonYoh6JyNuKpORpwnNfweTCRk4+M5/D2xfywc6FnHtjBU46T6Pz4WYuvbWGy3tXcPaNFRx7eRXa72/k+BsrOfjKCt5+cREH3luJgekz2Hi9RLbqFKV9ZyntP0NxzzlKBs+S13eGzOtnSGk6T3ydJlFVmoQXXyVEqkdAuiHeica4RBvhKBGg9Ws5SAwRJJT1LnHaeKSfJaDwQ0Jl+5E0vE14ywGiO06R0H2Z9EEzpONulN4JovqzKOr+lErDX/No/rqc9n/KxCn57p+a6JvaRRycOtYzvZM4dl8o2tU7hmqnpe6z1PFwgDsIwJqW+rMQGQWAqSNjN7foZFKMir90XNPgUjJGvejEfkmu/4iKYfJLhMu1iVOYk93ijbTVj4q+VGpG8sjvjiRGdYWAqj1i+e5TuQm/ym34VmzFq3QDAqwEl+VatFp0Wo55y7HLXoR1xnwcMhfjlb+W0LKniK16gxT5IZJrjxBbdZDoqneJV7xHcpMArstktJiS1mhNqsp+ClwOU6vzLxyYC+mN092XECUdSGq0IbzGCM9iTRykp7HN+wi74rM4lV9Ug6tGB99aQwLrTAlRmBOqtCBUZUVoow2hTfaENDsS1upBeJvgugKIEaOiAK5oEVwpvYliOa+GVyrp/Wli3yV0XgLI0vuyppRNet8vlUtGn5TM/nxy+ovI7S9FOlBO3mAlBUM1FAzXUDgio2hERumInPLRugfgEifrbzWjvN2B6m4nDR/fRHX3JtPAUgnHeu72ilLc7UUuRMRbPchvCde9yCd7xMhYPXadiuFmSvvrKeyRkd9VSv6NQsq6ilAMVXLzVgO3/9TD3769w4/3/sr3//qaiT91kSC3wDb1WZwyduKS+QyuWc/glvs0HnnP4y59DrecZ3HNfkaEm3CPQ9p27FOf4FriNixit2ASvQHDiHUYSVZhFbMey5g1WESvxDRyqQgu/dDZ6IYKk+4PYyqZxbXIBViHLcQoaB7aoXPRi1uOVfomzFPXYJWyheSGi9z5a5Hotu7f/1jtuu5N8gOjgk/kz/evc+tHBUnFepj7bEDP8xEMvBeg5T6Psw5zOGXzOy44z0bTbTYnrz3McauHOWr5EB+az+CI2QyOmT/MJZdZWIVr4Ja0Bt80AV7rCMjYRHDOEwRkbSO44GmCc17EXH87517T4OCTizn87BIu7F2O5emNfPTGKo68soEjL63m+CtrOPHKao69uox9Ly7l3ZcWc/KDVVg6vIiN/9PkNH2EfFKTuk8uUXP3EpUTlygePou05wKZHRdJadQkTq5NdMVVJIX6BOcY4pdijEessQgmhzBDHEIN/wNejhJDHIXIGKmHS7wmHhnH8S/dT3Dda4Q2vD4Fr5Mkdl8hY+gaBRPulH8cRM3vo1H+OZ2mvxXQ9o9yOr+toftHJX33mhi43/5gJ3EaXONiTyWAS+isBEc13WcJnZYaWOpVgNY0uATXJaiX23Rzm05u0c4kzUzQwDiqKVgJ0BIkfP4fHFdCozEJDcLslDd514NIadQmSnFcnIz2q34D36qn8ancjE/FBrzKNuJZth6PknW4FakdllO+BqLEifil2GcvEncSPQvWEVr2DPE1b5Jed5g0+VHiqz4gunIf0TVvEafcS1LzMVLbtElvNiW14Rop9fak1DuRohLA5aiGl8pJhJcQIdMandX9V5MTqY12xCotCCzXxjnvI2xyj2GdfwK7ktNT4LqMh+wqPnJD/BWmBCjMCao3J0hlSVCDNYGNNgQ22RPc4kpYm9eU6wom7oaE+K5oErtjSOpJIKUnaSoyJovuSzjmo1YGab1Zv1JqTxaC0npzSO/JIbM3j+y+AhFeOf0lSAfKyBusIH+oEsGBFQ3XUDoio1wcTq2jalyBbELtuJS321HdvTEFLTW4VB/3ovq4T5Tybh+KO73U3f4FtERwCV2XUNJ3UDHcRGm/EBNryO8qRtqZi7Q9neLrGdT1FdMzUc/HX/Ty1Q+f8sO9r/jnD18y8nkbMdWGOKW/gGPmDpwyduCcsRPXrCdxy34Gj9zncMl8CofU7dglP4Fd8jZskrdgEbcJ46j1GIavRj9sFWaRgtMSdhNXYxa1HJOIJRhLFmIQOhsBXnqhj2ASPhOLqDlYRy7AVrIQK8lirITD1umbMUtdg2XKFrJadfns6yruIbitT0Bc1V3X9wzzNf18/q8OilUu2IZuR9/rEYz85nPJ5THRYZ13nMUl1zliUX/S+mGOWz/MUasZogTXddxiFhed52IRpoFL/Fq8U9bhk7oOn5TN+KU9jlfS43gm78A58kmsbZ7C+PQWtA9t4sw7q8RI+NGbGux/ZikHd63l0K7VHH1pLcf3rODInqUcfG0ZRw6s5OSpjVwx20ls+fvU3tJC+YkmtR9rUn1bi4oxTQoHLyLt1iKz/TLJqqvEyfSIKtcnNN+IgEwjtduKNMJ+Clr/Di4hMgpOzEFijIPEAKdIbVwST+EpFebwXiZQvovg+j1T810nSe7VJXfEhqJJdyo+DqL2DzHUf5FB81f5tH9Tyo3va+j5SUH/vSYGxcPR02MQ6qgojDcIpbvQX6khNR0PhfVnYKmdV5/owIR71dGxSwTXbdq5RTOTNDAxtbMoQGscpfhZANovf/2H40ptNia+QYco5Tkkwvmz2pfxq9mJX9V2/IVD0eKYw1Y1tESXtVJ0WU75KxEcliAnYZUuxzFnGU7ZS3DPX0ZIxXbiat4gQ3GYzLojJAhOq/wdoitfI1q2h1jlWyQ0niClWZu0JhNSVNdIrrcnWemoBti/wStFjJDqGJnaaE+SyoYouQk+xZewzz3KtdxDWBccUYOrTHBcWiK4vOQG+ChM8FGY4V9vjp/KAj+VFf7CoGqjLUHNLoSKrsuXqI4gYjrDiLsZpYZXVxxJ3Qkk9wjOS+2+UnuECXoBXr8G1wNoCeDqySatJ4eMnlyy+vLIEZ2XGmBq96UGWMFQFcVD1ZSNyqgYk1E1XkvNuEI8DqS41Ybytjomqu52obrbjequAK5+6u/2oQZXH3W3+37ltuSTXWpwjbZTOdRIaZ+C4t5qCrqLyLmeRWZLIhlN0eS3JFDXnUfPHQWf/G2Qb374lB/vfcm3P/6Z0c9bCC0+g1Pm09inbcMh7Qmc0gWAbcc1W3BiO7GN34Zl1Cas4zdhmbARs9h1GEUK0FqJTvAyzKOEjmsDFtPgChfeejAPw9C5GIXNwyBsFkaSWZhEzMQ8ag42MY/iGrUU16g1WCdtxkyY/UrYRFazDp/+vZof79/lnuC4EFyXcH2LH++N8897g/zx6xaah6NxjXkRA5+5WIQs4bzjfM45zkLLfba4s3jeaTYnbGZw3Pohjl6bwQmbh9Rx0WwG5xxmYRKwFMfoNXgmrcc7ZQNeiZvwiN+KXegmLLw3YGS3Dmvbx3Gzeg53i12Yaz3JxcNb+GD3Mt7ZuYgDTy/h+AsaHNm1lON7lnDl/ZXonN2EsfWzGLm9iFPk28hvX6XuU23qPtFBdvcq1ZOXqRjRoqBPm9ybV8lovUpSvS5xNYZElhoTIjXCL9UI9xh1RLQPUbstAVy/gtc0uMKMEByZU7gOTrGncUl7F8/Cl/CpfBL/2p0EKl9E0nyAuOtnSO/TRzpi+zO8/hiD6os0Wr7Ko+OfAryq6Pmpjv77DQzeb2WIDobpZJSb4jDpLXqmHJQApGlYTQNM7bQEUN2dApZwfYde7kw5LjW4Wh6AS4iHEyK06plEJX7/X8EVqTxCWN3LBMufIVAYIq19An9xLmuLuGPoXbEWr4rVeJStwq14Ba6Fy3EWXFbecpwLNHAWACZdgUOOupD3zFtLUOnjxMheJFW5lwzFQRKr9hNT+hZRFXuIrnqBqNoXiFa8SaLqJKlNV0hpMCVFZUOy0uGBUuodxWthnZbYf6nUjiyh3pJwmT5eRWexkx7GSvoB1wo+xLbkJI5l53Gp0sKt5ioetfp4yY3xUZjiV2/5s1TXCGiwI6jJmdBmDyQtvkS2BxJ9PYTYzgjibkQSfzOGhK44EqfgJbiv6aM/qT2/BpfgvkS39QBc2aT35pDRKyWrL5+sXrWye4vI7iskt7+IvIFyCgfLKR6upGKkiqrRGmTjdeLh67qJVpS3hI7rBg3iecReGu4KbksNLsFtKe6owVU7qY6I8sluRHCNd1I90krlYCPlfXWU9lZS1FWEtD2DjKY4UurDSakLJqtegqw7ne67Mj79Ww9///EuP9z/C9/99Bdax/PwkR7ALvWJKXAJ8NqGfcZmnNK245i4A5uYLWIBbxG3AbOYtRhGrEInZAmX/R/lWtxmrGLXqmNixDKMwhZiEDIb4/DH1I4rZLZ4MFoAmbFkFubRc7CPm4dLxCKs/JdjHboRW8lmUqtO0X83kX/80Mt3P0zy/Q+TfPfdON9+N8Y33w7w+RcNyBrccA9/EQPPeRj6zsIieAlnbOZwweVRtL0XiB3WeaeZfGQ7g2PXZnDS7mFO2s7gqOUMMTKetp2JjscSrEJX4xK/Ae+UzSK4nCI2YuyyFk391Zw5vRy9C6vxsHweP+c9OJnuQv/kNs68uoIPnlvOoec1OL57MVf2a2B2di0WuhvwDn2NnIbz5LSfIb/rHMqPdVF+ooviY0Nktw2oHNejZEiHAsEBdeqR3qxPksKIuCoTIopNCc42xifJCNdIQxxDDLAPNsBeWEMMRHCJAAv7dWwUgSbRxzHqAo4JB3DNeQnP0u14VW3AR7aDQOUr4oBqQudZ0nsNRedVOOkmxsbaP0Sj+iKF5r/n0v5NIZ3fldP9k4y+ewoG7gsHoIWjOO2MiLNYXdwSISQATO2qfu62+rnLAHfF6Kh2Wmpo9fwCXB3cpoVbNDApQkvx/wauYNlLIqwCZFvwl23FX7YJP3HMYcMUsFbgVqKBa/FSEVpu4rlDYVZrDa6Fa3DJX41T7nKccpfinr8a/+KtSCqfIqHuVZIVb5NY/Sax5a8TXbmHqKoXiKjeQbjsGaIVbxNff4Lkhisk1ZuQpLQmSWEv6t8BNg0uYRXglaKyJ15pTlj1FdwKTmKdcxDL3ANY5R/Cpug4DqXncKnSxK1GG49aXbzkhnjXmeKrtJiSADA1uAIbnQlu8iCs2YfwVn+iOoKJEd6/NQ2um3EkdiWIziupO/FXh6zTejN/FRXF6NiTRXqv4LimlUtaj1R0YGnd2aT3ZJPRm0N2nxRpfwH5/UUUDRZTMVJG9Vg18jG5+Cob5XgzqtsdNNy9QcPHXag+7laX8iKwfoaWXHRcfchFeHUjn7iBbLSD6pEWKgdUlPfVUtpbTuGNfHLb0khriCapLoT4al/iKjxJrfGh8kYiN29XcuevN/nrD7f44f4f+PanP9I2mUdw6UmxeHdM3YJD0mbskgVtwC5pE3ZJwrjDZvHtDgbhK9AJXcyV4EfRDVnEtej1WESuxjRiuToihszGMGwuRpI54kiEseRR8bNh+GyMIh/BKHwGRhEzMAufg3XgQuz8luAgmY9jxGN4xWwmvfA4dSpH6lt8KKmxQ1pmQmreBey8d2DqtRRT/0cxCpwtDqCa+i/gov1chEFTYQj1gtNMLrkt4CP7hzll9zAf2T/ESbsZIrxO2P6Oc/YLuOy0EFO/FTjFrMcndTO+KVtwlKxHz3oVpz5azPH9C9E9tQYX42fxtnsJN4vnsbuyA6sz6kPTlheewPTMJqy0t+Djv4e4kqNkt5+hbOgi1eNXkN3Spe5jNbTq7pggmzSiYlSf4n4D8rsNye4wIrXRkES5MTEVZoQVmOKfbopHrBHOQkQMMsQuWF9cp+H1K4BNuTA1zPRxiNDCIfYwTumv4Za/E4+ydXhWrMW7RoDXi0Q2HyCx8xzpfTrkjJhTMOFE2V0fan4vQfmXBJq/yqD9H3l0fldC148V9P6rmoH7AsCEd2a1iAemhWFSYS5LcF9qRzVdyqvX/z9w3eEGt/kZXLeo5xZK1KtwrRKB9l8dl79sJ341W/CtXo+PQGVR6/CqWIF76TIRWM7CecOCZQjQ8ixdg0fJWtwFcBWswkW6ApfcpXjkrcS3aJN4YDqy+nni614jTvYK0ZUvEVW5G+G78OonCa3ejqTmeaLk+4hTniaxXpsEhQmJdddIrLMTNQ0wYf0/QSxZZUNMnTEB5RdwyDmEefo+TDP3YSk9iE3RUexLz+BcdRG3mit41OpMgcsEb4W5CC618/oFuBrdCW0SwBXwAFyC64q/GUWCCK54ErsECa+0Ub8dQji7qHZdQkmvLubTRGAJUXEqLvbmiH1Xak82qd2CMkWld2eR1ZuLtD+P/P58ikVwVVI9WkPt6DS4WlBNtqOaiovCrqLiTpfYawlOS3Gnn7o7/cjvCFFRAFeP2m1NqN8OIcTE8n4FZT3VFHcVk9eRTVZTIqkKCQk1fsSUuxNZ7ERUqSPJMi/KOmJpnyxh4ss2vvh+nG/v/56/f/8ZA5/JiZfpYit0WinrsE3cIE7CC0OlVnGrsRJeSROzHoMwDa4ELUQrcB76YUvFV9iYSTQwliwVI6LgtgRwCTuKJuECvGZiHDED08jfYRE9E1MBWpJZmIXOxjR0JrbRCzELm4tx8CzMQhZhHbEKu6h12ERswjJsAxYh6zEJWIW2+2w03R/isvtMtL3moOc7DwPvx7jitJDL7ku46Dxf7LpO2jwkxsSP7B8VoXXCbgZHrqm7rsv2i9BxWoK53wqco9fhKwydZmzFMWIDVy1WceLoEk4dWMLV02ux0t+Os/Vz2Jo/g87ZrVw5vAmjY5u59P5SDC5uwMH9KWIrDpDeepS8ntOUjlygevIKtbcNqLtrSN0dU+S3LageN6di2IziPlPybpqJO+spKlPia0yJLDEnONcUnyRTXCKNcAgxxD7QSASXfeB/wuvXAFPHRQeJNg5RH+GQ+K54BMs1f6P4/9ejfA2+/x9n7x0d9Xmm/Q8dXMAYBIhmcDcuuHfHBXds7GAbjOnqoN4l1HsZzUga9d57mT6jiuhCvdJNiTfJJtnd5E3ZJJviz+88z4yArPfNvuenc+7zndEM/oNjf3zd13Pd92N9BHXvy+Se+oDiwS+pHD9A3Tlvmi+HobsRh+VnSnr+LYcTvyml//c1DP6pgZG/tDL+NyNT33fIXVpiKeAFmX4/yxWGblNfwoC3q6zvZ9SWeNraRFur+ENwfUsP396E1/8DuJI61pNoWU+CaTXxxlW2MjgQq1tCdPtiotqWEt3mINVWnHY1Cbo1xIt0fMsqqbQi6+8lrmklqe0bURseQ2PeTK71eXKtL5JjeQ6N+VlyLE+TbXmCTOtjqKybyLK+TG7nRxT2fENxjytFXd4UdwVT3BUqq6Q7DFEzALsdXsIHK+4NRNPhQULrToKqPsCz/Ed4Vb+Jf8P7BLdtI0y/g0jzbmI6DhDX6Ux8l4dsFxN6fEjqFfDyJ7UvkNS+UITiUh0XiisZzel0csXm04Fse7uYJ8FVLKFVhFBcAlzlYxXS57rd6xLwmmkXbQa9aB3F7+pkC3l7G1kzVk/dWCONEwJcLbRNt6E9Z8RwzoLlfCedF47SfVHs5xLjPf10XhZh0yF5gth9TaitSXpuTNJ9Y5Kua5N0XZ2ynyYO0XFJ7OI6iX7yqBzz0Y4aaBlsov5UOVVH8yjtUFJgiEfTHkFWaxhZbeHkaCMotcbTfiaXk5dauPirk/zqjxf4499+we///DPO/7yH0u7DhFVsIqRkPUFF6/AvdMQ3fyW+uavxyVmDd85qXFXLOJi2BBflUjzs5aa8G1flQlyV83FVzsVFOdseh5iPZ5YCn0wFQdl3EKBcRHC6AyHpjnilCZDNwzNzLu6pd+CWMh/3tFm4pM2x1zycRHA1YS57YmfxTbSCb6Lnsjd2AftjFkhoucesYs+RpXwddhdfhc7jy1CR31Kw88h8dhxR8Hmwgk8DFXwepMAp7G484x0IUjkSVSBOFdeTUrORsOy17PNaySdbl/LZew7s/WItXq4PE+i9CR+Px9i7fQM/fnO5XFHzzUfLCAh+AlX9OxT2fUjVwGc0j3+N/vw+zJfd6LjqSdc1L7qu+tH5bSCWSwHopwNoW7kHnAAAIABJREFUGwugcTCA6lN+lPb6UmD2I6vFl7Rqb+KKDhOR5UFY+iFC0w4Rmi4AZgOXUGC3K69/gJdQaJluhGv2EFqwjdDSVwmrfpiIhjXyv2ehvlKtm8g8+iL5p96heHAb5WO7qZ12o/myP9rrkZh/mkDPLzM48es8zvyuhIE/VjH05wZG/9rO+N/NTNIpt5mK8RwRJhXZrGsMc40RrksFJkBl87iEz3WDcW7I349yS3Gd5hrH7Uqr57+prv/FnE+0OhBvXkW8aQVxhqXE6u4lTnc3Me13EtO+mJh2B2LaHIltWy2VVlz7atsiwIalhNcuJqbBgZT2+yS0ss2b0VieI9v8HFmmp8kybybLuplMWZtQWx9DbX2a7A6xb+gzinr2U9R9iMJOXwo7gynqDJVV3BWGrf67AgunpDeYwm4/mTmLbtiOT+kWDpW9hmfVG/g3vEtw66eE3wTXfmI7bT5XfOdhBLgSBbiO+t0GrihUJ+LJOpVCzhkluf3qm+AqGhLgKkCAS8JrVLSMpZSNldvhJfZyCa/L1jJWjNVIFVY+Vk2F3fO6HViyTRSG/VgT9ePNNE2IVrGVlkktrZMG2ifN6Kc6ME31YJ7qkx6V6dxJLBf66bgsVtaMSjPeBq4puq9P0SXq6gSdInx6eUC2iMapPrnKpn3EROtQGw1naqg+VkhZl5pCYxI57ZESWpktYWS2HCGrNZyc9iOUmONoOZnFiXP1nP/XPn7xh/P84a8/4w//9TPO/2sX6a3bCC7eSEDBavwLV+OX74i3xhHPrBV4iR1YmatwTlvGgcQluCQtwSn5bpySF+KUPF8OQB9MmcvB1Fm4pM/HXbUAN6UCz/TZeCXNwjd+EUGpa/CJXcGhxAW4ps/mYIoCl6QFuCctkgPRzilzcUpXyBKf7U+cxd64OeyOmc3emAXsj1vA/th57DtyB96Ja9kVcjc7Q++WWa6vI2exM2IWX4Ur5AjQN1Gz+TxEwRfhCpyj7sYvzYHQ3FXElDiSXLmOhKo1EmS7PRz48IN7+fgtB778eDXO32zg8MEHcd+9kV0fO/L5G/dy4JPVuOzbQHzua2hM71F0bCtVA1/SPL4H3TknzJcOYb3iS9e3Nmh1Xg7BciFYbr1oHQmi/mwQFccDKOr0JVdvV1vlXkTnCy/LndA0D0LSPG6CS4BMgus2z+smxETLKH0vD45kOxOas5Pg/C0El4rJhvs40rhEdk8J+vUoOx5Dc/QZ8k+/QfHgh5SPfkn11AEaLx6i7Wogpu8i6f7XZPr+TcWJ3+Rz+vdlnP1TLUN/aWb071omvzfLJYAXvhfp9zNcke3fINcZll6WAJgNWAJaogS0BNgE5Pq5xkmucYxrslXs4RqiZlrGvts7xR8m5xNNyyW04sXT4EC8bjnx+iXEC4BpV9hhtZ64tvXS04poWkFYvYg8LCKqfjHJrevlapps81OyBVSbnyXD+Awq02YyLU+S2fEk6o4nUXVskooru+MFcrrep7DnK4p7D1LY5UV+RyD51mAKO0JkzQCsqDPErsDCKe05IqukN4i8Tm/StQcJr9mGV+lbeJS9glf16/g32sGl+0oqrmjrfmI7/mdw2TyuMJQnolGfjCf79C1w5dm3nxZLcAmDXsCr4Ga7eBNeckdXpQ1WozWUj1ZRPlpJ6Wgl5WM1lMt4hM3rEvGI6vEGaoVZP95C/Xg7TRM6mif0tEwYaB430jJuoW1MrKERhnoPuvE+DFMnMF3ox3pZrGQeo1u0iTcEtM7JkuCS2a0hLBfPYJw6hm6sm/YxM23DWpr6G6g5LlrEbAotqeTqYsluDSezOcxWTWFkNoWR1RyGpi2cQkM09X0Z9EzVMPnTbn7220l+95cb/PpPV+gYz+NI+cv45K7CJ2cl3jkOuKmX4JJxB84Zd+GULkC1lP0xtpKDzgl3cCBxAQeS5uGUMhdnsTcrbQEuUoXNlvBySlLgEjcL5+j5uMbZILUvaRZ7EhXsT1DgmrQAz/QluKXegVPqLA6kKNiXpGCfBNcs9sfPZ0/sHFl7Y+dJ1eWXtprdYXewM+RudkcuYk/MAr4KmceO4DuIKXqNiPyn2Rs9n93xs9kfcweBquVEFq0mvnwtyVVriC1fSUC6A3s9l/HptqV8+NZStr27jD0/XonLjjUc/HwNu95bwVdvLcNt1/3Epr6KsultNNYtFB/7VIZJm8f3oj3njOmiJx2X/ei8HIj1cgjWS2GYz4WhHw+lZTiU2jNBlB0NIN/iQ1abN2k1XsQXexKR40Goyt0GLaG4bisBr5sAU3nY2khh3Ks9ZGxCPI9kuhGWuZ8gzScE5L9CoBh8r1nGkfo7iWm+lyTdOrnsM6fvGfJPvkJB/xZKhj+hYmIHtecO0HTJC+21YMz/EkPnv6bQ+x9qTvw2jzP/Wcrgn6sZ/WsTE9/rmMIq20cxY3gFoaIG7PAakbASSktA6wbi/e3gOsE1+rgugdV9E1zXOcoN/hdwSaVlvIdYw2IJrETDMpJMy0k0rCRBL/wsW2ZLjPIcaVpGWP3diBU1kfV3k9LmiEr/MNmmzWRbnkNteRql8UmUpqfIMD+FyvIEKusTqDqeIEO0iB1Pkt3xGnndn1DU+w0lva4UdvrcBFfBbfASELOBa0Z92drH4p4Qss2eJLTsIajyIzzL3uBQxct4176Gf9MWglu3Eq7fTqRpJ1GWvXaD3p34Tk/iu73tPpdoFYNRHo9EfUKcKCbYwNWvJP9sJvn2XfO3wJVnP2EsoHi4iOLhYkpGSikdLbNXhYRV6ah4llM2UkH5aPXNTJc4WawZb5anieJEsX5CS+OknuZJIy2TFlomrLYa66B1tIv2sV60Y0fRjp9AP30akYLvENC6ZmsPu+3g6ro2bYtD2NWWUGcy/jBqpW1YR/NAE/UnK6jqzaW0I4M8YyKatiiyWo6Q2XwLXmoBr+YwslrCZeW2R1DZmYpluJzha2au/0aY9tf4zX9dRz+URUT563hkOuCeeTfuqrtwFeHR9PnsS5nL3sRFHExchlvyalxTHHBJWSxXyogdWGLtzIGkOfLpkj4Xl3QFbhkCZAqckhUcSJjNwSQBuVnsjlewN1FhU11pc3BPX4CXSiwBnINUXslzbUouaQH74hV8E6vgmxhb7Y2dJRcEHoxdwo4QW3pebIP43G8OySUfcXw8h1qLO24p97A3cQ57Iu8kINOBqBJHEqvWkFq9luiS5QRmLOFw9GKc/Zew1+Ve9u5djcs3K3DfsYLdHyzns1cX89W7ywgO3Iyq5l2yjO+Q0/UeJce3UTu4i+bxfWinXTFe8MJy0RfrxUCsF0OxnA/HNBVO+2g4DQOhVJ0Mprjbn1yDDxmNniSVexKdf4iwTDeC010JTnUnJNVDgmvmaYOYaCPdZQnj/qbqsgPsiNqNUJUTAaov8c/eQkDBMwSVr5V78SIb7iC25R6S9Y7yTojM7sfJPvYceadfpXDgbUpGZgB2kObLh9HdCMD8swi6fpXEsV+rOPX7XPr/VMLgX2oY+WsLE383ME2nHJIWw9NXOct1CTChwIZu1g0xIC9/b1Ncwoj/n8F19J8rrlj9MmL0dxGru4MEw1JSzCtINa8iySC8rLVEtzraIg9NDlJphdQuIKJuMUlta1DpHiDb9AQa83Nkmp5DadxMuvFxlObHyRBleYwMi9g7L9Y4C4/rGbI73iG/+0uKxK1AXYcp6PAj1xJAniWQfEsQAl62sqkvG8DsLWR3GPmd/mToXYms/xLfii14VryOZ/UreNe/jn/zuwS1fUKobjtHjF8Tad5LtNWJ2A4P4ju9SOj2IalHnCwGkNYXiup4tNwOIeYVc86kkidOFM+qKRjIpGAwi8IhDbJdHBLgypXwKhzKp2i4UMLLBjAbxATIJMxGSv8BXFXjDdQIhTWppWFST8OkgaYpEy3TFtrOddI23U3bZA9tE7ZqH+9FN3kc/eRJ9NNiRc0I1svjdAofS6gsCa0pbNCatI34XB7EfOEMhqljaMc6aRsVp4gtNJyuoeZYIRVdWRSbU8nVx5HdGmGDVlMY6qZw1E2hqOylnlFhzaFo2iIotyaj6y/gzKV2rvziLP/+53P88rfnODpZRnL9VjyzHPFQzcNddQcH0+axN0XBnqRZ7E++G9e0FRzOWIenajVuaffI5X0SWskLcc+4CzflQlyEb6WczcE0Bc6iBRStZJINTMK/OpA4S4JLfCYg55wyW0LLPf1ODinvlssAD8TNYW+cgl3RCtkGCv9KgMxbvYhDqfeyI2QBX0qlNZ8v/BdQrt9N/7l8qsz78UhbILNee0LvvgmupCpHOfYTU7ySkOwlhGQuISxzGWEqB+KyH+aw573s3+HAV1uW8cXrS3Hevp6ohOdQNb9us0B6P6Ds5HbqBnfTMn4Q7ZQHhnPeWM77YzkfguV8KKbpcPQT4bQMi02/oZQfC6bQ6k+21oe0Wi/ii8QgtTuhGW4Ep7kSnOJBSMohCS8BrpkKTXND1Ay8bve/wlXuiApTuRGcsZcA1TYCNK8TXPwYIZWOHKm7k6jGucS23kGidjmpptUoO+9H3fsY2cefJff06xScfZfi4W1UTuyk4cJ+tFcPY/1pKL2/iOHYv6dw4v9kcuoPBfT/qYqhvzQx/jctU99b5F4tkX6/zAmuclqm5G2niDMws50ozvhb12V7aGsTRaso3ou6/ecHAdSY9nuI0d5JgmExqeYVKK1rSLc4kiT2aomLLZpXy3BpaP29BNfcxZHaxSS0rCFD/5ANWpZnbNAyPIPS8BRK4+NkmDahMj8mS8JLgutJMi0voen4kLyunRR2O1PY6UW+JZAccwC55kDyzEGy8i3BiLpdgQn1JXwwjdmTxNZ9hIg2seIdPKtex7P2DXwb38K/5X2C2rcRqv+SI8bdRMoslwtxHYdJ6LJBK+VoAKlHg1Eei7CrrUQ0Z1LI7U8j/2wGBQNquUhQgKtgMBuxCVVcSybiEYVDebKKhgooHiqUVTJcxM2SJn4JZSPllI9UyUiEyHDZUvNGmqbNNE930CYWBV7oRX+xD935Y+jOHUM3fQydaPOmjqGfPolh+gymC2Kj6Tid39pN+BvTdN2Y8bWmEPmtjsvDWC72Y5Rqq5e2cQut8hSxnpoTFVQKQ75TRaEpmVxtDNnNR2RrqG4MQ9UYjqop5LYKlSDLbAqRCkzTGkGJMY7m41kcn2rkws+P8/PfTvOz/zPO6fM1KOu2I/a4u2TMw1lp85/2pynYL0z0jHvxyroPX81GPDMdcc9YjEvaIqm+RBBVhFDdMhbKEmByThOQEoprDgeTZuGcvFCqL6GuXO3gEi3ifvn5PA4mzcM5aQHO4pkyn4OJ89gXM5d9cbbPDisX4q92YHfEIr4IXMCHLrP50FlBbNEzVBi+JrnqWfwyl7L98EIOBq2Q340qEuubxaniGmKKVhGR50C0WDJYuoLk6hWU6l/A5cAydn3owI63Hdi5ZQWuu9YTn/0iWcbXyet9k6LjH1N55kvqh/bSMuaCdvIQhmlvzOcCME+HYJoOlfvFhNpqHBArnEIo6Qkgz+SHutmb5EovovMOEaZ2IyTFjSBRyR4EJx8iJMWdEAkxD0JTPAhNdbfVDMDSPAhPt5fIetnhFZrhTHDGDgIz3yco/zlCyu6XW1uO1M0iolFBdPNC4trvItm4jLQOR5TdG1D1PkrWsc3knnqFooF3qBz7lMZzOzB+60zXdz4c/XkIfb+K5tivUznxuxz6/1jO0J/rGP1rKxPfm6T6EosBxeC0GOn5VprwwtM6xTXO/IO/9f8TXMuI1y+T0MqwOqLqWE2a2XZ6KCIPUSJg2iAGpxfL3VpxTatJ1z5ElvFJeWqYbXoepf5Z0nRPk65/EqXhcVQSXI+gMj+KyvIoKnma+DRZljfI6dhGfuceCjrdKLB6k2cOJMcUICvXFIioWwC7TYF1BJFv9UVlcCe2aReBVVvxrnwHr5o38Gl4C7/mdwls20qI7seEG78mwrifaIszcR2HSOjyvqm0UvuCSD8WdlNtaU4nk9sv1FY6BSJ8OqCWaitfqi776aKA11AOxcO5lIod9MNFVA6XUDVSSvVoKVXi1h8RlRgpst0CNFJGxWi19LTqJ1tpnDLKGcX2891oL4pVNmJx4ElMl07JMl48hfHCKQznT2K4cAKjCI9eFNtMxcaHGbU1RacA1/VzUm11Xp2Qw9QWsX9LnCJO9dE+3kXLqJGmoRbqT1dT1VdEWXc2xdZ0Cgz2NrEpnMzGMGzgEqor2F4hqJtEhZLZaHuK18L7KtBFUtejpGu0lrEbvfzLf4zx01+N0DNYTFTxFtwzluOSMQdX9WxcVLM4mKHgoLjEQr0UL81afHLW45OzWkYj3ERcImOhVGqH1AtkVMI1fS5OqQq5N16cFjolzZKnhjPqSygtJwGtFAV7k2axL1H4W8KcV9ghNx8XcQgg1tbYYxHuqQsJzl7OgZg75FjPO/sUvOeswDl5Pr4qB7zU93AoeQWf7l+EW9ha6XGJE0WRmk8sX0tM0WpiitaRUH4/8eWOpNWtoNb8Dj9+dxnbX3Zg19ur+ObjlRxyuZ/EslfQdL5O4fF3KD39CdUDO2gc3kfLqCvaicMYpnwwTQVimgrBMBmCbiyc1qEw6s6EUNEXRJHVF43Oh/R6L+JLDxOh8SBE6UpQsig3ApPdbfCS4BKwugWuMAEvAa5Ud8KE+hLwShMhVaG43GzwynAlNGMfQarPCdS8RlCRUF0rCKudS3iDgiONs4lqmU2sdjaJxnmkWBaR1uGAsmsd6p6HyT7+FAX9L1E58jbNU59guvw1XTec6f6pNz2/COPovydy/DdZnP59MWeF+vqvRsb+qmPy7yamhQL7voOLdHNZBk2PcZXjdlO+TxrzNkPeZs4LiN34f1FcsdrVJBocJawyhNoyrybJuIpYcXrY6kiETMUvl31xTONK0rQPkml4HI3pOQS0MvTPk6p9hlTtZtJ0NnBlmB4lw/wQKsvDqKwPo7Y+SqY4bbS8S17HVxR0HKDAeoh8sy+5xgByjOJ+RtsdjeKeRhvAAiTUZtrHfGsQORZvlDpnoht3EFD9Md7VW/CpfxO/5i0EtH5MiPZzwvU7iTDuIcrsRJxI1ouxIHHrj1BafSGkHwu/Ca1sAa0zKeSfFZtPhdoS4LK1icLnEopLpugHcykdyqdytJj68XJaJqvRTdVjnGrCMN1I+2QdjeOV1Igry8RFsaNlVI3XUjfRLOcTm6fNtF8QCwSPY7xyCsu3Z7B+249F1JUBzGJr6aX+m2UWp4Ni3lB4V1fH6bwmgHWerusX6BbPa9NSbVkvD2G+2I/BPtrTOmqhaUhLw9kmqbYqeoS3paLIlEJuexxZzRGoG8NRN4beViGoBahulvjsNhXWGEJmUyg5LeGUm5Mw9pcwcNHItz/r5/rP++nozyGu5B0OqVbirJyNW6YC10yFhNd+pQKnjDm4Zy7BP38tAflr8clejmfmEg6JXJdqDodU8+QNPSLqIADmmirWzCyUPpeAk/C7DiTPZn+SDVz7hSoTfliKvRJncSBRqLQ5ttYyfr5MyjvHz5U3AbkmLGab9zy2Hp7Dvuh7cE+9h/3RS9nuuYz3di7mvR134h61Ru4GiyxYQ0LZehLK1sgbfxJKHyK5ZhNxFetQ1m2gsPpd3n1xOVufX8XuLY44fbEa/4DHiKp4mrzeVyk9/S4VA59SO7KTppH9tI26oxv3RD/ph34iEMNEMLrxENqHw2g6Kzb9BlPaHUC+0VcGTlOqDxNdKMx1NwJTnAlMciEwyQYvAbBgAS7pd9k9r1QPwqT35UZIqqsNYDPqK8OV8AwBLjf5DFM6E5S+C3/1ewTkP0dw2X2E197FkUYFEU0KIloURLcriNMpSDAoSDLNI9m8hFSLDWBZfQ+Sd+oJygZfomHibdovbMN4dReW79zo+FkwXb+Iofc/0jn+Ww1n/lDMwH9WMfznBsb+2ib9r6nvzZyn0w4wkZIXuS0RgRDA6ua6vW7Qw0z901ZRDE0nGdeTYlpLitGRRIMDcboVRLWtJKJlBUcalxFeLy7mdCBV+yBqw5NozM+jMb9EhuFZUrVPk9y+mRTtk6RJxfUkSuMMuB6S4BLmfKblZTTWreR17Cbf6kq++TC5Rh9yDP5o9H5odP6I24M0en8JMwG0vNvVlzUIjcWb1PaDRDZ+SVDdx/jVv49f4zsEtHxAiHYb4foviDTtJtosBqzdSez2JLnHj1SRku8LIUO2h9FknRKniEJpifZQKK0ZaNnAJW6vFgCbUV1ijXPNWAnNk1UYzzXSc0nLyasm+q93cOqqiaOXdFjONdE2USPBVj1WIdPzwohvFAb8tBX9RbFr/hTmb/uxXh2g4+qgLKu44OKKqOHbagTrlTE6vp2k8+q0hFXPjQv03LhEz/Xz0qQX8QfrZdvqGpHZahvtpHnISOPZFmpPVlN5tJCyziyKzKnk6eLIbom0qayGW9BSNYTwf6uMxhBk3fxOMOqGYAraI2k+mkXfRANT13uYPNdFXXskYVlv4JqyElfVPA7lzMYtew7u2fNwVgt4KXDPXCgHrgML1xKQtwo/jWglF+IhlJpy/s2M1qGMu/BWL8M19Q6psPYlC2DNtpUdWEJ9HUy1gexA4jx5YnlAnDaK3yUq2CtM+igFfqo7pKr6ImARu48sQ139MRFxL/Dpp2vYuGEh99wziyefW4BHjCOBWSuIKFhDbPEaogscicxbRWL5Y6Q1bCat8SHytI8RFfUiHzzvwLZXVrH7g1V47FlPSNQmIsoeIb/vR1QMfETNyHYaxnbRPHpAgks75olu3A/deADasSDahkNpFlfvnRYrnIKktyXGe9LrDxNfJgakhSHvQkCiM/4JzgQk2uD1Q4Dd8roEtG6v0FRXm+qagVi68MvcCUo/gJ/yU7vX9Thh1WuIarqL6FYFMe0KYrUK4vQKYg0K4owCXrNJMi0g2XwH6R33oupdi+b4AxT3P0XlyMvUTb1L86XttF1zQvedN+afh9H1qziO/iadk/9Hw+nfF9H/n9UM/amR0b+0MfE3A9MSYFYuYuUSVq5g5VusXKWTa3RJgAnFdYP/xZyP128kybCBZMNakgyOxOlWyexWVOtKufVBgCuqcRlJrRvIMDxOtvkFsi2voDK8KFVWcvtTJLU/RbL2CVJ1T5Bu2ITS+AhK04M2xSXaRdPTqE1vojFvJ8e0jxyTG7lGT3IMPnZo+ZGt9UejDbgJrxwBMEMAecZA8kxB5FmCyDT6kNh6kIiGHYTIbRCfEtL6KWHa7UQYdhJl2kOM5QDxHW4kdnmR0utH2tFAlH2hqE8cIVNsPD1t87Ry+tPIG8ggf1DMJtrK9tpmzktoDWRSNJRNxWgBjRPl6M7V0XW5lVPXTAx918Xwv3Qz+JNOTl0zc/SyDvP5Jtoma6kfr6Z2osG+zsZM6zmb2jJfOYNFAEvs0Lom7ja8VUJd2Woc65UJrMK/kt6WDVy9PxHgOm9LzF8Tq2ts8QfD9HG04z20DltoPqul/nQ9VX3FlHdpKLakS2gJrypLtoe3oCVUl4BWRn3w/wgvtfjM/nlGvfhemHyvaghG0xxOpSUV4+kSugcqKa47QnjC53hFP4uPcoO8XdorX4Ff0Xw88+bgmqWQt0CLVtI714HAgrUE5TviK/ZzqRfJTJd7xnyZ3RKnhiJw6pp+p4xNOKXNwzltjjTpZYuYZDtpFODam6DgyyAF27wUMlS6O0G0ksKcny0/88yYhX/mClzjVxKsfAZN9mf479vEZ6+v5+F1S7n7zrk8+MgC3CJWEJC5gojCtcQUriMsew1h2WL052lS6jaT1vAgBS3P8M22dXz4zCo+e9UR5y83EOD7KP6JD3CkdCNFve9SO7hNLgRsmthD67gT7WMetI950z7qR/tooIRWy0AojadDqTkeQml3IHkGf5u3VXWImEJ3wjJdCUhxxi/eBq7/G7yCUtzlaaM4cQxOcfkBuEQLaWsd3QjLsIErWOlEQPp2ArPeI7jgJcLKHyOydrU8XYzXziNBP5cEo4J4kw1ciUYFMyUglmqdR3rXUtRH15Jz8lEKz75Axfi7VE9vp0Fsubh2CP13/ph/foSuXyZy9D/SOfGbHE7/toT+31cz9McGRv5LmPhtTH2v5cL3Oi6i5wp6vsV8E2BCfQl43f7zA3M+wbCBRMN6ko1rSTasIVG3WibjReA0unkVUQ0ONjNe+xjZpufQWF5BbXqZNN2zJLc9RVLr4yS2PU5y++Okah8j3fCIBFeGye5xmZ5CZXiVLMOHaAy7yDU4k2M4hMbgTbbOh2ytL1ntfmS12Sq7XQBMqC9xU7Y/uXoBr2A0xkDStZ7ENR8ksmkPEa27ONK+k0j9LqJMe4kRKsvqQkLnIZK7vUnt9Se9LwjV8TDUJ6LIPh1Lzplbfla+UFmDagqGsigczqRgSLy2lYBWnl1xFQ9lUTWaR9NEOabzdfR9287Zn1gY+WkXoz/rYvinnZy9Yeb4VT1dF1sxTDXQNFFHndgKMaGnacpK2wWx6fQk5itnbdC6PkbXddECihqj46q97LCSSuvauEzF99yYpvcn5+j97pzMb/WIP/utWFtj3/4w2UP7qIXWYT2N/U3UnqhAtIgllgzy9cLXiiRLmO2Nwahv1j8qLRuYBJzsJVRW/a0SAFM3hJLZEkKONoRC4xEqO+Jo7kvDdEpNTXMMiYl78fT+ES7+j+KZugrf/DvwylPgmavgcM5sPHIUEmDuWXPwyVlGUOFaggpW4pO9WA5fe2TYLnYVJ43C09qfLAKoc3FJm4db+gLc0xfhlDRHtoxOybM5kKxgT6yCbYcXsvlHs3jzGwU7Im0qzNZiKnBXziUo1wGRot9xYA1+ro8T+PWDfP78vTy6agHL7pnD45vn4xa+gkDVSkSrGFu0jojcdUTli7U2m8loehp10xMoc17moxcc+GCz8Le8ehTlAAAgAElEQVQc8d67jsjwh/FTrSSweAk5nW9SN/xjWiZ30jq5j7YJZ9rHD9E+6kP7iD9tw4FIaJ0Jpe5ECBW9IRRZA8lu9yO9zov4MnFjjxvBSheptHzjBLyc5Ot/hJcbgUnC9xLtpLssAa7/Dq8Qu9r6h1PHDFeC03dLrys4ZwthRS8RUfE4sfUPk9C6jiSDA0mmO0kyzyXRJBSXrcTrmffJFgUpnXeg7HEk6/gj5J95gZLhLVSMbaN6eicNl/bTetUd3U98pQLr/kUcR3+l5Pi/53Hq1yWc/V0Fg3+sYeS/6pn4WyPTf2/mAq1cRsu3GLiKhWt0cJ3O27n1wwBqvH4NiYY1pBhXkyLmmPTrSNLdR3zbWmKaVxHftJq0tgfI1D+NxvQS2aaXUepfIKX9aZJanySx5TGSWh8jpf0xUrWPkm54EKXxQVQmobSeQm18kSzDFnKM28kz7CXP4EqO/jDZOm+y2r3JavMls9WPzFbx9JUA00h4ifZRwCuAHEMQmfpAUlu9iG/xIE7rRpzRlTizi9xymthxiKSZDRBiR9fRQDKO2VRW1qkYNGcSyO1PtrWFgwJYKgkpuXtrOJvC4SwKhgS8MskfVJM3oCZ3wPYsHsyiaiSflokyLOfrOX5Vx+B3VkZ/3sXYzwW8OuX7k9cM9F5qxzTdRNN4vdwGIcAlThHbL/RhFPcmXhEt4gidAlpixvD6hIRXx7VxZIkEvIg9iLyWPWja+5Npjn53jqM/mZarbHqFWptJyE/2ohvvoF2O9bRSf6qGKtkiZlJgTCanPYYskdcSPlVDkASXqiEIlVBZdjBl1IfygxLgqgtFVR+Kuj4ETWMQxdpAartDaD0djXE4CctoCh1DSfT0J2EyJlCm8SHCdxvOTk/jFfMYIQUP4J+/GK/cWXjmzcIrfzZeeXPwyFbgkTkX39xlBBU4EpC3Aq+suzmsWoBQXSL2YAuZzpXRB3Gq6JIyF/e0RbJ9FJe/irsRxcnj10fm8vKni3jkhXl85DyX3bEK2S6K9lIoMvHP81Gu5AuXpbz22p3seN8B949X8NnmO3hi1WzWrZ7Dq2/diVvwSvyTV3Ikx5GYwrVE5q0mvuR+lHXPUGh6DU3ta+zbsZYPN69g+6urcN3qSKjLWiIi1+GdPQePPAUZphepH/2ctnO7aJ8+gHbKDd2EJ9pRX9qGA2gZDKapP5T6U6FU9wVT2hlEvjEAdbMPyVWHiS4SastFqi3fWGcEuGzwcsY/3oWABFcbsBLdCUx0JyDJncBkD4JSPAhOEf6XgJd42vyu4HTxvN249yBcZL2UToRkfENI1ueE5b5HRMlrRFc+T1zDEyS030+yaTUplqWkWOaTbJ6LAFWiWUGCgJdRIRVZgllBsnUh6V2ryOx7mNxTz1HQ/wbFQ+9TPv4J1dNf0HBxD61X3dDf8Mf8kyN0/EsiPT/P4Pgvczn162L6f1vG0H9WMvZfNUz+vY7z3zdyiVauoOMqJq5h/efgkvOHekeSDY4SWqmGDSTp7ie+bQ3xLY5ycDpD+xhZhhcktFT6F0ltf8autjaR2PowSa0Pk9z2EKnah0jX30+GcaMEl9r0LBrzm+RaPqHA+jWF5gMUiDZRf4hsrZdMCQtYqZv9UDX7oW4RAPMnu02Un/y/kfC9svVBqPXBpLX7k6IPINUaSGqXH6k9fqT3BpJxNAhlXzDpx0LIOBFKptwnH43mdJwNWANpFNhXMwt1JapoJIui4Wz5tCkuAa1M8kSdtYFLwEvcsVg5kk/zRBlmO7gGBLh+1s3Yv3ZL1TX4XQenrhnpudiOYbKJhjEBrhbqRSJ+uov2C8cwSHAJX2vUprRuKq4JrNcm6LgmICaGpqeQKuvGFL03piSwjn4nnhMcvTZKz5VBOi+ewXruuLwrUTdmpG2ojcYzdVQfK5EtYpE5nVzha4nMlshrCcVUH4RaQisIVV0wqjobnH4ALQGyBvF5KBl1IWTWBlBQ70WN1hV9nxtdYwEcuxTB8csRHJ0KpedMCJ2mEFqKvMmM3EGY75sExbxAbPFzRJXfT2DREjwFvHLn4p2/QILMI3sW7qJt1CwmsGAl/nnLOaxehJtytsx2CXCJsKqEVrL9xFCMDSXPxiV1IW4ioZ94F5963Ml9T87h7V13yWWBM76XAJcYDXJJmsd298W88tadvPTCYt569k62vXwnb2yczSMrFGxYN5c331nCoYDVeEesJChlNUcyVxOdv5a02ofJ079EmfV9ImOe56Pnl/LJ0ys48P46fHesIcxjLf6Rd0tF6ZqnIFn/tASX7uIedOcPoj/ngW7SC92YnwRX89lgGk6HUns8lIqeEIpEDEjrJ08S40o9iMh1QbRyvglO+MQ44RPrjF+cy80KSHAjMFGUOwF2cAUl2WISM8C69ZwJrAofzBaZkG2jmHPMcCNMdZAw9W7Csr/gSP5WIkveJqb6FeKbniZJ+yhp5g2kW1eSal1GqvVOki1zpPoS4BLelyjRUiZbFpHeuQpV7wNkHXuK3FMvUND/GsWD71A+9jHVU1/ScGEfLZfc0V7xx3g1ko4bSfT+VMWJX+Zw+j8KGPhdMSN/KmPqb1Wcp56LtEj1JeB1+88PWkVxyYW47EKsYk7UCWhtIKH9PhLa1kpopeseRm14imzTi6gNL5KmfYYU6Ws9TlLbIyS2PUBS2wPyu6na+0g3rEdluh+V6XGyzK+Qa32fws4vKOnaS0nXAQqFMW88TK7Oi+w2LzJbfFA3+aJqEvDyR93iT6YAWIufBJhGH0yuKZxs8xEyrRFkdUeT1RdN1vEosk9EoTkZQ87JWDSnhH8Vi+Z0PLn9ieSdTaJgMJXCoXSKhjIoGlJTNGIHloCWLKG2ZlSWrT2USmsGXPYwatlwLg1jZRim6zh6uZ3+Gxbpb438tEc+hUl/7LIRy7k2WsXW01EBLrGyWWw6Ffvlj6G/eArzlVvgmlFZAlYd1ybplJse7NCaUVc3JuTSwKM3xuS++Z5vB+kWt/2cP4Flqvfm5ofms/XUHi+VLWKxRUm+PulmQl56WRJUAkbBZNTOQCsMVV2YVFvKOtEi3lJeSqHGBNhqg1BX+aIpP0hJ+WfUNH5Ae98XGEZ2oxvfTcvgV7T07aCl/Wuqi74iL+1DEuNe4kjy48QUbiKp5mGiK9cTWLAcr+w78Miaj3vWfDw0s3EVpn26Aq/sxYQUifU3i2WKXoRRZV4rcZYc9xH5LJHXEql6Mf5zIMkWVN0RNJ/ntizgyTcWsDdqsUzRy/nFFAVOaQpcVQqcjizh3U/u4uWX7+LpzQu5b+1sHlyn4AHHWTzoOJtH7pvHy8/fg/vh9fiHbsTFeyXuQcuIytqIuvkJijtfILdpC07fPMLHT6/g42cc2PMjR3y+Wo+3x0o8k+fiWaLAo1hBvO4h6oa3Yby0H8MlZwzn3WXwVDvuT+twAE39wdSfCqHmWAhlXSEUGAPlv/u2k0RXwrOdCUg9iHfsQbyixdMJobxm4OUf74p/gguBCW4IiPkLxSXAleQhIxPi1PH2unUC6XorKpHhYjtlVLsSpnaW40Dh2bs4kv8ZkaUfElPzJgnNL5KsfZJU4yOkW+4nvcOR1I47SbHDS/hfwryfMfATzQtItTqg7FxPRs/DZPY9iebEs+SdfoXigbepGP2YmomvqJ/aR/P5w7RdCsJ0JYrOG4kc/Vk6p/4tk4Hfahj9YwFTfy3n/Pd1XKKZb2m/nVs/bBXlLT3a+4jXbiBBVPtG4kS/23YfN6Flfh61+SXpa4nYQ3L7EyS1P0Jy2wMktt1HUvt6ktvXkqpfQ4bpPtSWh8kWGyI636Kw+xOKe3dQfnQPZb17KepyosDiTp7hELlaTzRt3mQ1e6NutiuvJj8yBMiaheIKJs8USWFnHAU9iRT0pVB4Kp2ifiVFA6LSKR5QUijU1EwNplM4pJRlA5aK4uFMioezKB4VZVNZAlwzLeKM0sodyESU8Lfk67NZcuC6eDCXyuEiGsYrMZxrpPuyjhNXLZy81iGfvQJa57W0i7DpaAM1o2J5oJb6SbMEV9uFY+hEVuvyoD3iMGZrDYXKsg9Ki00PIhXf8xOhtCbplbAaoffasLytukfc9HP5NF0XjmGd7sU40YFW7JEfaLRvfsintENtbxFj5ViPhJaEkABWEBm1IT8oZY1NXcnWUKgs8R0JLdufUVf7k1nkQobyA9JSN5Nb+Twlxtcp7XqdYuuLFOtfIL/+WdSFm0jI2EB4siN+iffgo1xEUN7dhJcsJ7TIAV8JpvnsT1VwQLSDIiohR34WSqM+IF+swLlDJujF6aBI2e9PmI1T0jyZ0TooIw8KGUZ1SpjPO18v4IlX5vOFj7gzcS6uaYtt+TC1gsNZc+SSwm17F7LlnXm8+dpdbN58FysdFTismMWqFbPZ6DiLx9fN4pkH5/PNjzcQHvY4ru7r+Wb/Srwj7ie19kkq+16jsPkD9n35AB88tZwPn3Fg27P34vzxfRzyWoWXRoFvtQLfKgUx2nupHvgA08V9mK+4Yrp0CMM5H3QTwt+ygUt4W5W9IZRYg8nRBqCs95ZXjkXmuhCicsYv6SBeMaKc8Io9KJWXDV42s14a9vGuBCTOgMudoCSR8boFLQGsmbrVKoqohAuhSmfCMlxlxkvMQIapXRHrb45oviGy8Euiy7cSV/suCY2vkdT6NMk6ob7us6uvxRJeok2MNSqIscMrXhr4s0k2302K1YG0jtUou+5D3fswGpH/Ov0yJQNvUz68larRL6mb2E/LlBfa8yGYr8TQ85NkTv4yncHfZjP2p3ym/lrK+e9ruUTjPweXMObFLvkErWgPBbTWEte6hlTt/agMm+Smh2zLy2QYX5TgEmoruW2TbA0F3CS0tKtJ1a1GaVyN2rKB7I4nyet+lcLe9yg7to2KEzuoPL6H8r7dlPQeoKjThQKzgJcHOVpPu/LyQt3sharZG1WT8LvEiUs0JZ3JlPepKD+ZRcVZAZB8qkYLZFWO5lExmkPZqIYSeTuPWt6LWDQiYKWWwCoRdySOamSVjGX/I7iGsmytofS0MskdFJVF7llRGvIGcskbyKNgMF+m5MtHSqkdq6J1sgH9dCumc1qM57TopttomWihYaxJbn4QbWLdpJ76KStN0920SnCdxnhpELO4PkzcxHN1nI7rk3TODEzPQEuCa5ze6yP0Xh+i5+pZeq6cpvvSCawX+rBMd2OasKITvtZAM/WnqqjuK6S8M5siUxq52niyW6KkryW8LBuwbEpLvFbWCICJmvnd/wCz2hAE0NLFd6qDyCg5TGrmj4mJ3URq9kOoqx5E3Xg/yvqN8lKJlNKNxOauJjRjKd5JC3CLm4NTnALXZAWHlbPlTi3hUbmk3iXT8yJIuidJIYeoRU7LO3MJoQWrCch1kKeM8hTRnt0S+SynxHnsj5slfS23tHlsP3QXz22Zz/t7F7E/Vpj5ClzSbOWWoeBw9ix8NPewdeddfPbJCj79aBUvvbSYBx9ewH33343DqgU4LpvNE2sWsuWplXzy6jp2blvJrq9XsuOblRwKWY+ybhOVR9+kVPcRTt88wCfP3isvyPjsmaX4fL4BX7978CtWENygILROQYxOQdGxV9FOf4P1mjvmy4cwnfNBP2FrFYXiqj0eItvEYkswmvYA0mrF6hoPjmQ5E5jmhHeckw1aMU54xhzAJ8ZZloRXvJPNrI9zQagvP7vyku1jks3/klmv5H8El8x3pboSJnJeSlc7uMQMoxthaneOZLkRoXEhIm8/kYVfE136ObFVHxHf8CZJLS+SonuSNNODpFkdZduYZFUQZ7KB6ya89Lb8V7xhPgmmO0gS+S/rStI715PZ8yg5x54h/8SrFJ1+h7KzW6ka2kH9mBOtU74YL4fR/V0sJ3+VyuDvVIz9OZfpv5dykbp/Di4RhRCeljDmxAaIOOFrtd+HUv8IWaZnyba8RKbpRdL1IrO1mWRxgtj2CMnCyGtfT4puDakGR5Smtait95Pd9Si5Pc9RdOwtyk5+ROXpz6k68xVVp3ZRcXwPpUfFKpuDFHSILJebHV6H0bQfJrvNk6xW0UL6yZOr8q5kao5nUXe2gNqhEhrGKmiYrKR+SlQFtZNl1IhLW8cLKB/Lo2wsxw6oLEpGBKxyKBvLlVU+Lp45lI7lUDyqoXBYhEuzbhrxokXMHcgidyCb3LM2YOUP5FMwWEjhUBHFQ8WUDpdRMVJFzVgdDeONNE000TTZTMNEM3X21cy1E+3UT+homDLRONVB03QPLef70F48heHSAKbLo1hERksGS4VBbxvhEfu1bErLBq2ea4N0XzlL9+VTdF08jvVcr7wX0TBuQjeio3WgmYZT1XYzPssOrQQJLXWDaANnwGR7ChApawJvlg1et1SY7XPxHVulVweTVhNEenUgyjIfkjW7iEp8kTjlYyTkPURCySPEl2wirmgzsfmbidQ8QYjqIfzSNnIocR2ucQ64JC7GRSinOAVfH1GwJ2o+7qn34qG8G7H9YWeMgq8jBODmE5K7ktACR3xz7pWnjKJdFNsh9oph67hZ7ItTyNobsYBXt97Ja58sZFf4XJmod1UqcFPbyl2t4FCmArekBWz/xpHPPl7DR+858NprS3j+haU8tdmBdesXsemBJXz40kO899xGXnzkXt58cSlbP1jOzt2rCUp6iKzmTVT2vUW56WO8PB7l69eX8/Wry9j56r0c+mwZPmHzCKtVENWmILJFwZEWBenmB6kf2S7XMpuvHMJ4zhfthB/NQ/40nA6k5lgQ5V0hFJqCyG71J7Xam+gCd0IyDt5UW97RNtXlGWNTXMLvmjHrpeIS4LLDS/petwMs0U0qsGA7vGayXSLXJceD0l0JU9riEXIcSO1OeKaHnIuM0LgSkXuQyILdxJR+SWzlVuJrt5DY9BIi8pRqfIA0iwMp1oUkWuyRCZH3skNLZMBidbcqXkQrDHeRal6NsmMj6q5NZPU8S27fKxSc3EJZ/+fUjuylZeoQxiuB9Pw0ilP/nsjQH1RM/CWf85T9c3Al6h8gUfugXW2tIbFtDem6h8gyPYXG8gJZ5pdQGp4jTfcUKe0CWo+S3PYgye0bSdWvJ924ngzLOjI7N6LpfpS8o09RdPxVys+8R9XAVmoGt1F99guqznxNxYk9lPbtpbhnv7yCScBLtI35RgEwd2nai7W1JZYQao4m0HhKTctgIa3jlbRM1dF+vonWC400X6in6XwtjeeqqZuqoGayjKqJYiokwPLtsMqjfDyfiomCWzUu4JZH8WgOhcMa8gezbS3hjOIS4DqbQ+7ZfPIHCikYLKJwqJjioVJKh8XWB7H1tPbmHnl5CcZUq7zFp3ayjdpJHfWTRhomzTZoTXXRPN1D6/k+2i+cRC9u3hGXtYobp8UdiCLycN1Wth3yo/RcG6Zb3FJ95QxdF0/Qcc6msoyTFnRjBtqHW2k520DDySqqewsp68iiwJBCTns8Wc2RCGgJVWWrGQjZ3qdXB9wEl4SYgNJNUAlI3SoBrbSaQNKqA0mr8Ce5wJVY1WdEq94hJucdYgveJ7ZgK3GFnxFX8DkxuduI0mwlPOtDglVb8FO+jFf647gnr2Vv1B18ETSLr4IVOCfchZdqOYfUS9mbMFcu+NsbMxt/9T2E5a8gKH853tmLcVGKTRO2LRF7pLc1S+azPnFexDNb5vOp+51yo4SYc3RTKWRiX6T23bMUHFIr2BM5i+17V/Lpp2t5+83lvPaqA+++t4q33lrN008u4ZO3H8T1y1d47rGVPLDuLp57ajHvvLGMr3atIzJrE7naR6k8/hYF7e/j47kJ5w9Xs/fdlXy9ZTkezksJzV5IdJvN64nRKwhvUZCoX0bl2Y+xfuuB+cphDOd8aRv3pXHQj7pTAVT3BVDaEUSBPpCsFj+Sq7yJzHMjMO0A3nEH8Io+gHfUASS8hM8V/Y/wEn6XhFacCwGiZYx3vel5iVPHgEShvGxJe1u7aDtpvAkw+0C22OV1C1zuElyRGjciNa5E5jgTVbCP6KKdxJZ9Slz1O8Q3vCgTBCmGjXIBgxgJShInjSLzZYeXAFeMqHaF/HsRfzfifbxuAYn6pSQbHUkz3U+G2MnX9Sx5x96krH8bdaO7aZ12x/RtAEd/HsWZX6cw8p+ZTP2t4H8Bl+EBknQPSENeRCDSdBvIMG6Sa2qyrS+iNj0v5xBTtU/YW8RHbGa89j6Upo2orBvI7rqf3KMPU3DsSUpOvUDF2R9RM/w+dSNbqR3eRs3Adqr6d1Jx8hvKju2m5Ohe2TIWdztR3OlMsdWVYosHJVYvyrsDqD0eQ1N/Bu0j+egnK9Gfb0R/qQ39JS3aS220Xmym+UIDjefrqJuupmZa3HlYSuW4uE5MqK8iysdtwKqaLKJqqojKyUIqxosoGyugeDSPwuEc8gc15IjWUJSEloa8fqG2CuzQKqF4uJyS4QrKRiopH62hSqyomWqhbrqd+ikd9dMG6qeM1E+baJgy0zBtpXG6S7aIzdO9tJw7KsHVJq4KE+M5l4YwXx6xe13iTkRxqeswXVeH5E3VnZfP0HHpFNYLx7FM92Ka7ESoLO2IltaBFprO1FJ3vJzK7gJKLGrydclommPIbIggozYUpYBPVQBpVYESROI581qop5lSVgUi6tZnt0GrKpBU8ZmAlnhWBpJa7kdykTuJBS4kFnuQVCoucvAkRaixUlG+8plU4kVCsQhT7iNMsw1f5Ru4JjzG7iPL+TpsFvtiRC7rbgJy1uCfuZavw+eyK1whd8aHaZYTKgKqecvlvi+X1Hvk4kFnpWgDF7A/ejGvfriIrQfuljOJ4vfChPfIsqutTIVcB+2TO0tGLjySFrDHZwUffubAh++vYu/u+9n55UY+eGct2z9+gJ2fPMRTm+5iw32LeO6ZO3n/rWXs3LGWGM3jFOifoKrvHRILfsSOzzey9/01OG1dh/P2DYRE3Ed01Szp9cSaFcSbFcQZFKRallBx5l3Ml0Sr6IV+2p/WUV8azvpSe8Kfih4/isQmFK0/6kZfkiu8icxxJyDlAIej9+MZdQCv20qAS5Y4ZbQrLwGuGWjNPP0SXPFPdMU/yZWAZFeZ8RLgkq3jbeFUOdM4Ay/7LKOtXZyBlzuRGg+ictyJzjtIdMEuYkq3EVu1hfj6V0hseVx2Zymm5SSZF8iIhDhhjNUriNYqiGq3VWSbTYFG2BP5MpXfvoh47T0k6laQaryPzK7NFJ14i8qBz6gf30X7eTes1wM59osYBn6bzvifNP8cXKnmBxARiGTtWlJ096EyPEKW+Wk0HS+SaX4BpUEMUNt8raRWAS2b2kozbEAtoNV9P3l9D1J44lFKzjxF+eBLVI++Qe3YO9SOvUftyMfUDH5OVf92Kk7toPzELkr7vqHk6B5Ke/dS2n2Qsm4XKroPU3XUj7qTYmo+mbYxDbrpMgwX6zBebsN4xYDhsg7tpXZaL7bQfKGRxgt11J27HVziCrFiKidKJMiqp8qomS5HPKsmyxAXvJaNFVMyWiivIMsbEuDKttVZDbn9OeT255N3toDCwRKKhwS0KikbqaZ8VFyCIS55FdDS0nDOQMO0iabzVprOd9B0vpOm8900neuR1XzuKKJmwCUUl+7SGQyXz2IWt/CISy2uDNEpQqmXz2C9dBrLRbHt9ASW832YznVjnLRKlSXiDs39dpV1tIjyzhyKTBnktSeS3RSFSgCrKoj0SqGOAmxPO5RmwHX7M11ATZT4/v/wPQE3Aau0yiBZqZVBpAh4VfqRWuFHcrkfSaLKRPnay4/EUj8SSkQFkFTiLz+PK3YhLPczvNOfxzlhFQfi7sQ5aRHBWWuI1jyMc8TdfB2kwD1hPuHZK4jMXUVo/ipCi9YTWHgvQYX34KO+lx2ed/H8awt48om57PVbiI96jm1Pfa4C73xb0NUrV4FvgQL/ojl45ykIKFMQWLQQ5yMr+PLrFew5uIodX65m6/vL2P7hSvZ8vpYvtq3ko63LcXZ+kP+PsLf8jvru+n+nLTWKW4DgXigUt+LuDsVCiBD3QBLi7q4z8czE3SCE4q7BJUB7Xfd9zqNznp1/4HXW/nxnkF73r3fX2us7MyRpVxfrlffe+733tj9mja/vVJIrZqM/P5fq62vwCp3F9vVjsN85Dl85N3Z0PAERY4is0hF9QYuEP3QkXtSRfrk/5XfX0PHakc63XrS+8KbhsRfVd70wXvOh5KIXBR0+ZDf5klot/9881UC1b9xJ3MJscQ2zxc0MLlFe0l3UivV2eCqLhD0+kQ5KdVmgJU+faEd8YhzxjXXEN84Rvy/mGz95u1S9yzIGpOYYpUDvotLFYLnHmOVCaLargle4HJaV+4z5hwkv2kVE+XoiKxcSXT+T2FZrYjsGENvZR8FLVJeoK5U2S+rcpEOgFfqZ+hIFFt70FRGNX6tNFMnnxpN3ZQEld9ZheryD+hdHaH/nzMX/PsPN/yeSR/9f4j+DSxRTasdo0qRGdX4ymed+IbtrIaK20joXkNw2l8QWccZPVSliYutkkjsmKmhlX5pEwY2pFN2ZTun9WZQ/mktFz2KMT5ZgerIKU88GTI+3YHy4g4p7eym7fYDSm4couXaYkqtHKLlylNLLdlRcdaXyui81d4KofxhD09N02l4b6HhXSeeHRjo/dKhoe9dMc2/jR8VV86aSylcVSnFZ4GR8IaAqVZ+ZXpajRZn6rOxZKSVPitUaZv2jfHIf5pBzP5fse9nkmFPEvHt6Cu7rzeAqo/hRBaWP5fhFDSapZcll6hdt1Aq05Cr1m4s0vpEC/GUa31yhXuL1ZRUNr6+o+lbjq+sqVWx5e5u23jtqmFoGq7ve3eNC7x3Ov7lJ5+trdLy8QvuLP9Rlnran52jpaVMF+JpblZiulVD2Rx6ForLaEsluiCKjJpgUqUVV+Jmh4ktiubz+50gq1+Am4BIoJVXIz5A4TaKCmfy5H4ml/iSYI77Uj4LAmAsAACAASURBVLgSX+JL/D5GQok/8cW+xBZ7K2DFFgus5GcGkmIKIaM6nIy6UFKqvYgs3o9vxjxcEkdzKrEfnskDOR0/DOczfTkW8DUnI74mIH04UQXjCNaPIariZ4INE3EIG8VvO/phPb4Pw4d+xW8rvsc3djhnC/rhJ6DK1+Gl1+FVoMNbr8O7UIe7vC/UEVCuI9io42zxj/gmjeTIiVEc3DOeg7utObxvHEf3j8PBbhKu/lNx9p7IiZMjcPUaTWzhLDLrZ5NUuAB7x2nsXT+WU3sn4rTXGqeTEwjJH0b8OR0Jl3TE/6Ej6bKO5Ms60q98R/Gd5bS8sKfjjRfNT72ofehB5W0Pyq54UtjlQW6rFxl13iQbvYgp8lCw8I2zx0NByxa38E8po6SOUutS8Iq01ywS4Q74RDjgG+mIb+Qp7SlWCUkjLbONKmX81G3U/F3i7fo0iK1qXVKgV0sHLbUugZYbYTmuhCnl5UJYrj2hBUcIL9pNeNk6IkyLiaqbQWzLGOIEXpIutplTRFFcAjCL+rI8zQALa9QR1qDVBCV9zOiehuHGQsoerKX66S6aXh+j870rl/+vM9z+f8P/GVzpXWPJPG9NzoWJ5MgO6guy7G8xGectamu2GuVJapumueI7J2nQ+mMCBdenUHxnKuUPp2PsmYHp6S+Ynv6K8ckCjD3LMD5ejfHReioebqb87i7Kbu+h9OY+Sq4foOTaEUqvnqDs2imMN32ounuW+kdRND5LpfWNno4PRjr/auTcX+2c+7OT9vcdtLxrpuldPQ1vRW1VI+Cqem2k8pUFUPIUkMlnJqpemahUiqyCihdllD6VjaVFGB7rKXiYR+79HLLv5ZJ9N5cciXuitqS2VYT+YYlSW6WPZY+83EisxaSuUstF6nZtt9brbhrfXqLp7WWa3l6l8fN4c5VGFddoenud5t4bNL+9qfxcHb23OSfx9hadr2/Q/vIqrc//oOV5F81PO2juaVW74kVlVd80YrxSREl3DvqOFHKa48isiyC16izJAppSXxLKfMwhr83AKfPTXpf5k1gmSkxTY6LIvgSXgOZTaN8vP8OPhM8gFV/sR1yxQEt+jqSkwaRVhpFaFa5FdSTpNdFk1UmDIJrspmiyGsPIagpWpuKkKhvCi9bhlz0Dt4zhuKcOwCu+P57RA3GJHaw2Osj65FjDBCLyp+CbNI3tNqOYPv9HrCf0YcLUb1m88kdsPAcQmDGCswVDOJ33HX4CK4FX3idweRXp8CnREWTUEV6lI7JGR5B+GCvW/cTWFcM4sXcMO9cNZfm8n1g4eyBz5g5gzpwfWb18IL/vs8LNbwqH7UWNjcVu/yyOb53CyZ1Tsd05Difn8UQYfyDhohlcl3QkX9WRcllH1rVvKb23mManJ2h76UFDj4c6O1Zx3Y0SOTvW7k5mgzsplR7El7oTpZdDr874J2pdRE1x2eIu8AqzU2mje7idGV72SnV5WjqNEQ74RFoMqpq73uKw/1jvMqeN/omOnP57ypjihCwq1GwRorykwyjHZF0JFXCpcCM814WwPKl7HSWscBfhZWuIrJxPbMMU4tusSOj89hO8WnWE/y2k2ypbJ0SNKXA16ghulIHub9Xuv7yrMym5sxjTo/XUPt9N85vjdP3pyrX/2+9/Add5a7K7x5N3cTr5F+eQe3ExWReWkNa5kOS2eSpNTG77BVlVk3Z+KhkXJpL1xwTyrk6i6PYkyh9Ow/hkMqanUzA9m4rp6XSMT+ZQ0bOAikdLqXi4kvL76ym7s5XS2zsoubmLkhv7Kb1+jLLrjhhveVB5N4jaR7E0Pk+j5U0B7e8raf+rgY6/Wun4s4OODx20vmuj+V0Tjb311Am43gq4qqh+rcGr6rUJLSqpeiVRReXLSipfmjC+rKD8eZlSW3JirOBhAfkP8lT3MPtuHhI55hQx/36hglahpIhq/bKcHqvB+LyeSinEv9CuUNe/Oq+UVvO7KzT3XqWp99rHaHyrwUoB6+11Wnpv0PLuhnq2vbupxn86lcqS1cxXaXr2B41Pz9HQ00r9owbq7lVTrbaXllB+qYDiriwK2pIVENKrQ0gxBSqllCDQKvEh3hLqvRk4pX6IShLFJMpJCw1IGsQ0mCWaAZdQpkFPfqZFVWng8iVOlJQZXInl4vMKJqM2guzGWPJaE8lvk8tBaRS0i/lVTp/FkNceSVZLAGlNnqQ0OJBQfYjoinUEGWbhK/cWMwbintoXj9QB+GZY454yGu/kkQQkj8fRbzxL1g7EevJ3TJz5A0s29VMOeKeIfnin/oBf5k/4ZvXFJ/t7/PN+wCe3D755X+Fv+Ap/gVahDv9SHcEmHSEVfQgu/hH/lJH8tuIHdq8cgs3WEexYNZilv/ZnzoxBjLPqw4zxfVkxdxCHto1W9oet68ewdv4oBS3nA79wcvcU7PZNxOPMeKLrdCRKenhZR7yoLQu4rusovDMT4729ND11oe6RC6bbrpRcdkV/zpWcZjfSalxJKHclusiV8DyxQjhxOskBj0itziWKS4vPwSVgs8czXPxdGsAsNS81FhQlVgmB1yktVKFeSxkFWv6JDios84yWWldginnds+yp/9hh1FJFDVyuhOe6qcWG4XmOhBUcIaxoGxHlK4ipET/neBI7B5FgHgcS5SUrcdTT3G2UNTkSUryXdFHqYJJCSgcy8fxgsi5PwHDzF8ruLcHUs57aF3uQ6YOLfzn/M7jSzo0hu3sKeRdnkX9xEXkXl5PZtUz5tpJb55PSPJeU1l9J7Zil9mplXZxC7tVJ6G9NpPTheCqeTMT0fBym52MwPRuP6dkEjE+mUfF4DhUPF1J+fwlld1dRemcDJbc2U3Jjp+brumlHxU2BViA1j2JpeJ5J85tC2t5V0v6hifY/22j7s522D+20CbSkttXbRIMCVx01b2qpfl2thQDsTSXVCmTaZ5UvqzAJtF4YKX9eTunTUqW29I8MClx59/PJuadBK/tuPrn39Ai0DA+LKZRivHlnvPFZDZUv6hS0VG3rZTt1r87R8PoCTW8v0fLuKi29AqfrCk7N767T1GtWWAKstzdpfXvzC3C1v7lJ+2sNWs3P/qD+yXnqHrVSc7+eqtsmjNeLKL+sp7g7W6tltcSTVRdBWuVZpZYSpFCuiuHy9CGuSHtK2mYJSeskBD5/j08g01JBAdznYfleeUrdSgtfVecSh31GfTA5LRHkd8SiPxdP4flECi8ko+9KIK8zktyOILLbTpPW4kJC/XGiq3cTJtAqnsdpw0R880finTtQXbV2SRuEd8YYfFIn4xg0kbU7hzFh6veMHPUt81f8yFHfUbinDsIr52s8Mr/CM1Onwk1W5STqtLuLOTp883UEFH5DUMl3BJZ+S7DxB84U9MPx7AA27/mJjZsHsGHlIDYv7MehtUPYvWoQ65YMZteOqcwY+yM711jjcGgqHra/YLdvOo77f2bPqok47F/Aaadl+Nj9jKvNRPxjxxDXak4Pr2jwSr6iI/WKjoxrorqs0F9bT+2jU1Tdc6HsuguGbhdy25xJr3Mh0ehMbIkLkXpnQnOcOJtxitPJMpdoh3u4VuOywEsK9RbFZQGX1Lo+7zYqgEVplomP4Ir+lDZKvcsCrtPxDh+HsRW8xBphuYydYal1mVWXShndCctxJzzXg4g82YPvQLj+AJElm4kyLiO27hcSmseR1D6UhLaBxLf2JaG1Pwmtg0hs7U988zfq/1WcAE3W5UjX0azIxHkv85BpF0eQe20Shlu/qPp4Zc8G6l/soaP32D+DK/P8JHK6Z5LfvYCCiyvIu7Ca9M4VpLQtJ7lpCclNC0ltWUhqu1zx+YWcS9PIvz6FwruTKHk8jvKnYzE+G4Xp+Qgqn4+kSgD2ZDLGxzMwPpxN+f35lN1dSsntlRSLf+PGXspv2mK67Unl3WCqH8ZR/yyL5jcltL6rpvV9kwYrUVnv22l536qliNJN7G2m4W0DdW/rqXlTR/XrGqpf11LzpuZjyGdVr2pQ4HphouJ5BaVP5YhFCYbHAi09+Q/05N7Xk3OvgJx7evLuGci/X4ThgaUYX6FuJFY8q8b0vJaqlw1Umwvyta86qX/TRePbP1SKKGqr1aymRFU1m6Ol9xatvVLTuk3b29sawHpv0PbmulrV3PLiMk3PLtLw9By1j1qokuV/4su6VkiJWkmTRl5bPFmNkaTVhKgalAYlL+KKvIgt9Ca20OfjU+AlIZ+rpwDtM5DJ9/4dYJb38WbIxX4Gqpgib3OxXepX3sSV+pJS7U9anR+ZLdoYVv75EAouhGHoDkffHU5+VwjZnf5ktLqS3GRHbP1+QqvWcaZ0IV76abjlWOGeOxzfgrH4G0ZrM4qJ47A5PYHNu6yZNr0vI6z6MOXnHznqOA6vxJH45Q/Dx/ADnlLDytXhk6/DL1+Hb47sldfhIZGnFeh9DTpOm1PEqJqBrNzUn9GDv2bQ1zoGfvsV40d8x4Ip37N7+SAOrh3MTuki7pnKuuWT2PjbCDxOziLcdzH+p5aybel4fh7dD9v9S0kK3U5S4FICPWdyNnuUqm8JrFLMwEq/pkMi47qOzGtD1W6u6vunqLjlTNFlZ/LPOZPZ6EySyYnYklNE6k8RlnuKkCxxsTsSkCwrbMQGIaDSFJd7xAmVLgqwpM4l8bHL+JlNQkaDBF6W0SDt+WmXl7bPy57TiQ78B7iSnAhQKaOWKoqnS502UymjG6HZAi6Pj+CKzHchouA4kYV7iC7bSIzpN+Jq5pJQP42Ehqkk1E/6GEkNE0hqGE1SY18SW3QkdeiUMpONE8ptLzXCLh3J3X3JumxF7rWJGG7PpPTBYqqfrqfx1a5/Blf2+Z/J6ZpLbtdycs6vJrN9LaktK0lpWklSw28kNSwluWmRWhqYKV93eRYFN6YpcBU9tKa0ZzTlT60UvCqfj6Hy+Tgqn07C1DMN46OZVDycTdn9+ZTeWUHpLbnwa0PVXS9q7odR+yiFhmd5NL0to/ldDa3vG2l936YBSzqIKj1spVlqW8oGIeBqpO5tA7Vv6lVUv7aoLw1YGrSqMb2swviyknIzuAofF6F/JLUtPXkPDOTelygk956BvPtFFNwvofCh2B6M6hK1RWlVv2yg9lUzta/bqHutQavh7UUaey/RJGni++u0vJdUUFTVTZrl+f4Wre/u0PZOuoh3FLxaFchuqB3zLa8u0/TiAvVPO6l+3EzlvTqMt0yUXy2mqDubgs4k5ctKrwkjxRREQvlpDSICK4M59NozxuCNhEBMABNTqIFGgUeAYwaa5SkAUx0/6foppaY9VUdQdQW9iRVoCQRVSPfLh0SjD8k1HqQ2upLe6k5mhwdZnZ5kn/Mi65wXmZ0eZHS4ktJiR3zDAcKrNuFfPg+Pwom45o/CJW8ILrmDcZetEIaxBOVOwi1oAstW9GP1mvH8PGMQ8xYNYfvvVvhETiEicxKn063wTO+HW/bXuAmo8rU6lq9eh7+41ou0kPTwdLGOgDIdgRU6gkw6ouq+4pcl3zKw/zd8//U3fPdNH3768RvmzfiJwxtG8vu6IezdMAxv5zlsWz2e7WsmY3toOiEBiwn22ciyWSPZvXEG3g4LCXOdy+ljYwhynUVUodwj1JF+VYtMBasfNLV1XUfO9VEYrq/FdMeR0mtyxcqJ7NZTpNacIq7MEemyhuU6EpLlyNkMR4JkH3ySPX5xtnhFaJ1EBapIW9VV/KS4vgSXpxTtzQV7AZeWOprd9TEO+MfIRgkLwDRoCbg+h5dafWPe1XXWfI/xc3CFZFngJarLXamuyDwHovRHiCnaQ0zpZmIrVhFfuZTYysXEmRYSb1pEYtUikmSPWfUMkmvHkNI4kLT2r0i7oCO1W0fiBR1J5mfyhW9JvziQzMujyL0+AcNtUV5LqXq64Z/BldU5h8z2JWS0rSa9eS0pjetIql9LYv0aEutXkVD/G0lNS0ltX4CAK/uPWeRenU7BrSkY7o2j+OFYSnvGUP50FBXPrDE+G4vp6Xiz6hJwzaP8/nLK727BePd3qu+7U/cwlIaeFBpfFND81kjL+zpa3zdr6up9m3o2v2+m+V0LTb0S4t0SaDVT97aR2jcCrgZq3ojyqlfKS4CloPWqGuPLaozPKyl/ZvyotgofCbhEcRnIfyCwKiTvXhH594vRP7BASwymJoxmpVWjoNVE3esW6t4ItM6jQesyTe+u0vT+Ki3vr9P6/iat72/R0nub1ncSd2h7f/dTqPc3ae+VwxhXaXrRre4oatCqoeJmBWUCrYt55HemqMK21LKSKwJUvUlUVLTeiyi9p3paYBWtl88FXF5E/z0KPYmRMHgRX+RDcqm/eioYFfoSW6gBS6kzZWHQgBct4DPDT17HFnuRUK5dn0mqPUVyox3JzTaktB4npe0YSa2HiWvaR0zjHqIathNas5aAikV4F/+Mm8EaF70VzgVDcC4YhGvBEDwKrPCIn8AJm1FsXPIjv0wdyIoVk1i/eTKHT03CLXISfsmjCM8eT2DGSLxSB+KR1Q+PvG+R5YTSNVQ1rGIdZ0q08CvUlFZguVaQD6nREdOswzluMMs29+PnWX2ZNKYvk637MWtyf1b8OpDtSwaz87dB2O6fyI4147A5OAdH23k42PzKnq3T2bNxCh4n5xDmuRDvwxNx2DKcY5vG4Hp6GIkdWloo8Mq8ISprABlXdWRf/4qCW2MoubVSjbgVX3JU5uqMBicSjaeIKXJCakUCLRlyltNhAcl2nE60wyfWFo8ILTV0UwV5sx1C6lpii5CQgr3MMYZr9S5lkYhwUN1GUV5KfUnaqOpdAjE7fGPs1TZVtQY6wV6ljapQn6BdCAr8W5FeVJc0DLRCvRshWe6EZnt8VF5Rea5EFdgRYzhGXNEB4kp2EF+2hbiyjcSVbSC+bAOJ5RtIKl9DcsV8Uip/Jq1+NJkd35D9h46syzrSLmmRclFH8gUdKRd+IE3BS5TXePSyIvr+4n8GV3rzQlLqV5FUu4GE6o3EV24krmoDcVXriK1eQ1ztShIafiO5dRFy7FVuI2Zf+pncazMUvArvTqb4wURKH4+jTADWMwHj4+kYH8/C+HAJxodrMT4QB/0xqh+6Ufc4hIYnSTS9yKf5bQXN7+toUdBq+6Sw3kv3sJEm5dlqouFNI/Vvm8zQ0mAlqaKWLtZS9apahUmA9bKKiudVZmhVUPJEu3Uop8MMAq+HhaprKKlh/v0SCh6UajWtx3LMVQymVZie11D1so6al43UvWqh/k07DW/P09B7gcbePxS0RGlJtH4QaJlh9e4u7e/N8eEeHR/u0S7x/g7t76WjeJXmV5doeHaemsctmO7VUX6zgtIrRRRdzCWvM5XM5hhSa0JU8V2gIuCJKvD8IgRiX0SBF9GfRVSBBXIa6OIKfUgtDyClzJ/YQi9iRJ0peGnKyqLUogu9iCr0QoClAUz8Wt4kmtxJqnYisf44CY0HiWvcQUzTRqKaVhNau4QA06+cNs7Bt3wGniUTcC+ywq1wCK6GwSrc9INx0Q/GvWA4nikTOHBoCBvn/cDGhQPYvm8Gh08sYc/Rn7HxmYBr3FjcE4cSkDaKkAy5Jj2c0+LtKhmNb2FffIp0+Am0SjWFJfDyMysuUVtnpSBfpyOiSaeK6GFFA3ENGMb65QOYPfEnDm6dhv3BeWxdPpa1s/uzfdkQti+x4vC2KezaMJFt6yayfc1Yjm2fiK/NVKJcZ+N7aAJ2W0ez6dchHDkwiPjGvojSSpMU8brUtX4i+/r3ZN/oQ96N4RiuLyC/excFXfZkNZ8iucqR2FJHIgtOEZLpqAEr1Y4zKXacTjqJf8JJvGNt1XyipTCvbBCqs2gGlgVeCmRmcMlrNZCtFe2VAotywEstIbT7uIhQ1kBr++sthXpHdUFIjQGJrytFO4UmBXpLkf7v4LLAKzLPnah8Z2IKThGrP0ms4Rixhb8TW3iQ2MIDxBcdILH4AMkle0ktXUeqcQEZ9ZPJOdeX/Cs68lQdUKdAny6NjW4dSV3fKHildvcn44/h5FydSMHNWf8MrqSaFcQbNxNdtp3Ikq1ElmwhqnQzUWUbiKpYS3TlKmJrV5DYqC0QTD83l6zuOeRcmkPutZnob02n8O5USh5MofThFMpUergI48M1GB/swPTwMJUPHah+5EvdkzAaniXT8DKPxjflNPZW0/S+kSaLsrKkhL2Nqpal6lmSEr6u+5ga1ryWorzUtiS0QryAq1Kg9aKKiheitCope2ak5EkFclW6qKdMheFxieoYFjyQZymGh2UUPi6n2AKtJ1Vq5XLVy1qqX9VT86qZOgu03gq0LtL07hLNSmndoEWU1odbtH6QtPAeHe/v0/nhHuf+lLivQt53CLh6b9Ly5gqNLy9S+6SDygcNlN8yUXyliMJuC7RiSakNIb78NAKRyAIPIvO1EHhF5ktYPjPDLN+T6P8hNNgJ9ARyWjqZUupHYrEHsQZRYhY4ac9oef+3iCnyJaHCm+RqF5LqTpDQuI+4xs1ENawgrG4OgVUT8SkbiWfJUDyKB+FepIVb0QDciwbgVjhYAczdMBT3gmF4Jo7jlMtEDqweyK75P3BgqxVBaatx9F7NAfvpHPEdzcmIEZyKGYp30nDCM8cRnD6a4JyxhMpur5JRqtblL3UsgZRRh6is0wIxs9o6W60jpF7rYCW26Uhp+Bb/0P7sWz+IOZP6sXfzBMJ9VuNwcB4/j+nLgik/smhCf5ZM7Mu6+SPZ/NtoDm8dhf22ocQ4zSTOZQb+R6bx+1pr1s4YyM7FPxGRbk3aue8VuFKvSXrYh9wbQ8i+8T2ZV/qS3j2R1Na1ZLWdJK3uFPHlDkTo7dUws0oNBVjJJ9Woj1+CHX7xJ/GK0cDlGiY1LruPoVJFUWDm8AyzR4UZYJYamEDrc3BJsV82qFq2qH7cXW++HKQdmTXv6pKjspIymgevNVOqFOlFcXmoWpfUuySkSB+ZL/CScCU635logViBk5qqiNM7kljkSHKRHakl+0g1riKrcTYFXVYUXtdhuKUj96aOrOvie9MhqivxvMQ3JJ3/huQuUV/DyLoy7p/BFVe2mSjDbsLy9xKav5uwgl1EGHYSXriFyJL1Cl4xlatJqFtJctMyUtvFUb+QrO755F7+hfzrs1RRrejubEqklvVgBRUPtmF88Dumh45UPvKhpieUuidxNDxPp+FVAQ1vy6jvraK+t476XlFTElrRve5NPSoEVlK/soQqxn8OLUkNq6lUtocqTC+qFLjKn5sofSopopHSJ0aKe4wU9VSoKOypwPC4HLE6FD82atGjueLFqyV1raoX9VS/aqDmVZNW1xKlpaDVTdO7P2h+L3Wtq0ptKXC9v2VOCe9p0PrrLuf/dY/zAq8Pd1V0msHV9Poydc+7qH7cQsWdGoqvlmK4mEdeZzoZTXEk13yCVrh0cXLd1F8U+csSkSdFUk9zoVS6PJ4qIvM8icrz+I+IyPMiMt+bqAIJH/WM1XuQVOROvN6daL1sJvAiyuBNlKScBp9PofdR4Iwv8yWx0p2kmpMk1h8kvnErMU2riGiYx9naifgYB+NZOhDPEon+eBQPwNMcXvJZ0RDcCwVqP6kuoqfDMMKcZuB3cCwHl/Rl35oBnIldxHG3xfzuMpkjZ4Zz+Owg7CKG4ZE0nOAMa6W6JGU8kz8Gt7zBOGRohlNRV8GVWmooKkusD/I+uFozOEpLPrFdR3C6DkdZ67zqW9YtHMiW5aOZP2sg82cNZYJ1X6yH9mGadV/Wzh3J1qVW7FxhxYlt1rjuHkvQ8en4/T6Jfb+NYNWMQSwZ/yPLhn7DtoXf4xvcj7TzOtKu6si9/hU514cqH5ekjGndw0hu+Y3UBhsSjI5EGuwJyXEgQNWzZO/WSXwTbNWoj2+sAMZWzSpa1JaWKn6C1+cgs0BLrBEWmCl1ZgaXBV6fg0usEh/BZXHVy0iQ+WKQ7KeXe4zSYVS1rnQ3gjPcCMmUw7SWdNHSYXQnQn6Byi9S9cvUg+gCD2L1nsjfrziDBwlFHqSUuJJScpgU40ayGxdi6B5H8Q0dRXd15N/SkX1DR4YZXGLmje/UaaZegVjXt6R0D/pncEXp9xGafUTbiJhxmJDsQ4Tm7Sdcv5OI4i1El28g1riB+Jq1JDWsJLV1OekdS8k8v4TcS/MpuDofw43FFN9aScndLZTeO0TFfUcqH/pQ9SiUqp54ap6lUfc8l/pX+dS+KaTmTbkyj9a+0bqCFuUkKkoUlYLVK4HUp7DUsCyfVb2qpfJljapnmV5UIlEhdS0LuJ6YKH1iotgcRT1GCnsqKXxsouixiZKeSmUsLX9ajYTm1aql8kU9VS8aqX3dQu2bdurMKaKmtC7T8uEqLR+u0fLhOi0fbtL25206/nWXjr/u0vmve5z7t8R9zkvIe/n8T+ku3kCB62knpgeNlN40YbhUSP65bDJbEkmuDSe+IoDoIh8i8j0Iy9XAJfAKy5H41OHRAOap1R1U10crnkrbWmtdm8GmFJoATIuofE9i812IzXMlJt+DKL0XkXofFdEGX1To5emDdBgTTT4k1TqR3HCYxKadxDavJqp5IeGN0wmuGUOgaTSBFeM4UzaRgLLJBJRPxL9sAv5l4zhdPgG/0gn4lUzgdMlkAnN/5oz7ROI8JpPoNhm/g9ac2jMO/4AF2LnNxM5nAjZnR/B74CDsQkfimTSaM+mjCc0cQ3D6SLxTBmKX9BXHZUlgtg6fYi0tDK2WQryOmIZviaz7ilB1J1BzaIdX6/A9o8Nrx9ecWPEt6+b15+eJ/Zk1ZQDL5o5gzfyRHFg/Dtst4zi1czK2m6zZs3ggm+f0Z8PsIaydPZDVs/qx/pdBrJs5jCVTRvPLiP7MGvIjW1b2I9wwkEyluH4g86qOLKl5SSp0ZQjpHctIqj5KdJEDwTn2nEmzwz/JDv9EOwUsn7gT+MTZ4hNzUlkhZP/Wl+D6Unl9Di+pdwm4LKGpLlFcDnhGI92eAgAAIABJREFUOeIp6WKkHd7i71Jpo6VI78hpAZdYJOTQrDpt5kpQoqv5FqOAS6DlrqCl4KUK9KK6NOUVpnxdnoTnexGRryl6UfUxnyn7uCJvkkrcSSmzIcm4ifSGReR3TaDoRh8K7+jIu2VWXOZUUcBlOcohT+k8Ssfx83++fAeEZh8lMPkEAUknCEw9ztmMI4TkHiRcv5fI4l1El20l1riJ+JqNJNavI7lpNWltK8g4t5zsi0vIv7JcdVGKb+6k/O4xjPc9qHxwlspHcVQ9SaPmRQ61r/TUvCyi6mUJlS9lHKecSnG3vzSpqHqpGUY1gNVQ/UoLBauXWtG9+lUdKl5LMb4OAZfpRQ1GFZa6ViUlTzVYCag+QauSIjO0inuqKH1STdnTGiqe1WJ8Vkflc4FVPdUv65GCvKitujdt1L3toL63i4Z33TS9v0TL+yu0vv8cWrdo/0vAdUeDliitf9+n618PtPjrPl1/3lVnyVrfXqXpZTc1Pe0Y79ZRfK0M/YUCstvSSW2IJaEymJjS00QavAnP8yA0x+0zB/PnTmZxM1tApT0tLWt5aq9FmWmKTJSXJUSBSVoZmeWqIlr9xfNViktUV5TelyiDLzFinTDKySxnkutsSGraT0LrZuJblxDbNp+EuoUklSwiMXspkXGL8Q3+FZ+wRfhEL8ErdjFecUtUeEQvxjNqEV5Ry/EOWYbjwVFEe8wg0m0uR7eMY+vK0TjazODgwQmcOjMep5hR2IQO4cRZK9xix3I6dQzhOWOJyh3H2fSROCd+y1G5r5imjfWokZ5KHaF1OqJkG0GDjrBaHQKz8FodweV9cHPvg8v6Phxe2IfVs79jwdR+LJk1hLnTBrBw+mA2Lx2B/d4pHFprxdEVgzmypB/7F/Zl568/sernfiyb2Z9tv1nheGAm6xePY/bEocwcPYDN2wYRUzlUpTw5N/upZ5ZA67qO7GsDyOyaR2LlXsLybTmTehK/RE1h+cTb4B17Aq8YCRv1FPOpe4Q27vMlvCww0ywS2p9prz92G81ppUV1qQK9WCQiT2pp4hfXgqTWZc/pOEdzd9Gyl96VoCRXglJFdbma4aWpruBMTXFpKaP29yss55Py18oX3kQpda81ieIKvRS4kgVcFdtIqV1CVsc0Cq4MQS+ponRiRZle1rqLFnB9NK+qu45fourLd0Bwii1n4k5yJsGWgOTjBKUf4ayorvwDRIhfo3QHsRXbSKjeQmLdRpIbN5DWupZMOTfWvZr8K+sxXNtJ8U0bKu56UvkohOqeRGqe5VDz0kDNq2KqXhVjMg86l8sWh+fFVDwvpeJ5GaYXFZheCMA0x3u1bHx4JVFNlUDrpUBMqzlJ3alagaueqld1H8FV8bya8mdVlD0VcGlhgZY8BVpFPVVKZQm0ygVYz+sxvWg0G0ubzKlhI3Wvm6h/00pjbwcNveaC/N/A1frhBq1/itq6ZYbWXc5ZoPVfD7jw74cqBGBy9LVDfF6vL9Hw/DxVj5opu11F4eUi8s7nkNGUTGJNJLEVgUQV+RCeL9ByJTjLRQ3gatP6FnCZnczyW++z0NSZprY01WVWYyq1FIBp8NKUlzcRuZ6EZbgQkSkdInMqqfclxqB5wRIqfEiqdiG55gTJDQdIbt9OUuda0jtWktu0i+SMDYT4/Mpp22m4HxnHkb1jOLB3LPv2T2DvgUns2T+JnbsnsH3neHbumsK+/TM5cng2RzdZEWA/DbtdE9i2cgz7ts/E/tA09hy0wi1mAl5pE3CMGcGxgGGc8BuLa4QAayIx+ZOIzp2Ab+pATkTrFLwcsnR4F+kIMMolZvM4SYNWmA+t1REldS7TD9i7fMfvK79jjzQDfv2BTXMHsXXJMNbMHcSymYPYv24cAQ7zcNw5GufNw/DaOgSXzcM4uGIodjsncXzrKE4dHEOAz3T8wydi6zeCrUf74RAxgNTzX5FzU0fu7a/IvqlTr+V99vU+ZHZPI7piI0FZR/BLPIF3nA2isrzjjuMVewLPaBsVHlE2eERKfeuEgpcsEFR2CLN3S3svn/1Pofm7LF9v8XRpplRRXJ8K9Noco50Grr/ZIgKTXJEIStbg9Xm6KODS4CVzlaK6PFVYfllqJQtLWUJrGsUavEgsdiep9CRJFXtIrl5DWossbpCJm35ki5VEPHCXPgNXp9l1L877dk2B/aPiCoxzICDGUYNX0nF1ASQw63eCcw8Rrt9PdMleYst3kVC5g+Ta7aQ2biWjZTOZHRvJ6d5EwZUdGK4dpfSWO6b7IVQ9SaT2eQ61L0uoVjOEsnKmhLJnRZQ+M1DyVK+i9FkRZbJHS/ZpvajQlJeaL9TUlwYvDVo1ClYN1LxuoFqFBrDKl7VmxVWDwKvsWdUX4CpS0JIaVyXFFpX1vE4b33nZRNWrFqpft1Cj7A4t1L9tpaG3labedpp6O2nq7aLxXTeN7y5+VFxtH67R+ucN2v7S1FanUlt3NaUl0PqvR1z474dc+C9RXVLnkgWCV2h6eYG6p+2Y7tdTfKOcgj/0ZLdnkFYfR4IplOjS04TrPQnNdVVjIGdlM2WWtmZE4PV3gMlIhgVeSr6bfTbK4WxOGTXV9UlxKYAVeBNZ4E1EtjvBSfZEZbsQXSDdS9nooA1fZ9QGqtXCiVXHSG3dS9r5TWScX09J527KCo8R6Licg2tGc2TrUNzdhuHoNYwT7sM47mrFESdrDtmPYp/NCHYfHcbBE6OxOTWFEw5TObxuOE77J2CzfhQ7lozA4cgiQnxX4312Bv65U/HPnYJrgjXHTg9l57GR/O4yFq/ISURlTyFRP42I7DE4x/TlcISOY3LFJ1eHX5mOIHNdS42UmGfiomQXVL2Oo679WLf0RzbP68e2JQM4sHoEu5b2Z/2vP7F+3hAc907F5+gs7HeMwXnHcDz2WOG4ewxHdowj4NRsAhwn42VnTXjEFNIbR5La3YeYlq9JOKepq7xbX5N7W0f2bR25dwRiWv0m9cJoQktX4592UEFLqatYUVgasARcClpRNgpaGrwEYJ9gJErsn0Mr6Cu1JQZVy/JB2Vcf9Qlcnwr0orhkX5cWlotAn8AlRXoXzkqtK82V4HR3QjI+r3d9Dq+/q3svpbqkux2j9yKu0IP4EnsSyg6RYNpMUt0S0tpmknHBmsxLPyCWiBQZm+rWaluy38tyBk32fMn7z//58h1wOsqRgGgnAmLtCEg4zpmU4wRkHuVszmHCCg4RVXyQ2PKDJJj2kVy9l7T6XWQ07yCrXa5S70R/5RDFNx0x3gug6nEcNc+yqHlZiOl5GRXPyih7WkqJrJN5qqf4Sb6KEln490xP2fMiKtQmhwo1EK3BSnZsafYGzVwq9gcLsMS7ZXmtqS4tVdTAJaqr5GmVShELe4wYHldQ+FgDl0VpmV42UPWqmerXrdRIOihdw94OGnvbVWjQ6tDA9a6Lxt5P4Gp9f5W2D9dp+/OmliL+dYdz/xJo3aPrvx7Q/d8PVShoSa1L0sh312h9fZGG5x1UPWrS1NaVYnJFbTWnkFwdSWxZIJGFPoTluxOcJZP6p9TzfwOXBV5a3UHr+GiFfHntqRVRv6hzeRKpUkIfokXaZ7oSlmhDbJ4H8YVnSCwNIr0yjPLOTGouGcioCiSz2Y70zq3kn9tIVe1uYt3ns3+lNQt/Gcim3SMILphKZM0owqqGEWoaRahpLMHl4wgsHkNA4VjOlk4irGwWZ5JmcWTjYHxPzMJz+ygcVg9Wu9tTo/YQkTqfs/nT8cuZgmviRGx8x7Fx9yg2bLfCxmUcZ2KmEJ83kxT9zwQmj+JkRB8FrxNJOlwLdPhLh7FG6yTKXJz8xpb0Qwas95/8nhWLfmLN3H7sXC0qajTHNsk16mFsXzpS3Ujct3gQh1ZZsfe3EexdPozf143i2OZRJAT8hq/TLLzcp5OQ/jOpLd+oYWpp40thWQrMubf6kSPFZoGWFJ7vfkPOze9IuWBFSNkqfFMP4RlzHA9RWJIaitqK0RSXwOo/Q2BlNpdGaQsGZcng/xQfv1fVvD5bOii7u/4Ormjxc/1PV7ElXXT5THE5a+BKcSU4zY2QNHcFsE/F+k+qy2KRsJQnIvO8iMrTutzS1Y42OBFTdIyY0p3EmlYTXzufxOappJwbSUp3X2VCVUbULq2mJafQLPG/1rj8Ix05E3WKgNiTBCTYEJRsS1CGDcHZx9Q6i8jiI8SUHybBeIjkmgOk1u0lvWk3WW17yes6TOEVe8rv+FL9OILaZ2nUPs+n8nkR5c9K1XygrJEpflJAUU8uRT2yOjmPkqf5atGf7M2SFTSymkagJSmh1kWsR1SWQEqi9m0jNW8aqX79ZVS+rMf0sk6prvJn1ZQ+qaS4x6RgJdDSwCWWiEpV05IFgEphvWmj9m079QKst+do6j1P87vOj9H4rpPGd100mOtbje/+UIrLAq72v25qKaIZXF3/vs+Ffz2g+78ecFEA9u+7dP11i87312iTlTeyYLCnhYp7NRRdLyO/O5+s9jRS6uOIN4YQVeJvVlsuBGc5cTbzn8FlUVqW59/BJZYJKfB/7PyYO0BSjFcerwJvYvS+xOl9iElzxuPsIVIM4aTqY/EP9cLZ05HfbXZz+PgO7D0PEph8nII6O0ylB7HfNZblMwYxY9wA5swbhH3wTKKqZxHRNIqQpgGcbehPUO1AgmoGE1g1TAvTWM6kTePE5iGcPjEDv12j8d06BO8dQznjsgxPzzn4hE/GI3k8DtGTOeY2k+37prBm7Wi27RzBceeR+EVNIin3Z6KzJuIZM4jjITq1+tkmVYenrLAxaQV5mYmTAq/8Jo+o1HHERrqJ37N27o/sWvYT9lt+wO/3kXgeGs/JraNw3WqF97ZR+O4cjc92azy3jMVv5xi8dgzFz3YKx/aPVkc0orOtSe3QtkBI51DqWbk3+ipoZUh6eFtHnhlc2Tf6ktJlRWjJenySD+OhwHUCD9lyKopLnp9BSymmSK2zaAGUV7Qd/6ewfI3l6WUeB1Ipooz/yHWgSLuP4Rtlj6/5uKwoLkto627kCracMRN4uZhXOzupG4z/J3B9njJqqeOnjrdm1/EiMs+bmALZgOFIZOFhokq3EWVcRUzNXLX2PbF9OMnnvyGlWwyoOpIuaI56i6tegPb5P1++A/zCHTgdeUqli4GJdgSlnORsui0h2baE5ctckhDzOAkVR0mqPkxq3SEymw6T025DQbcTxdd8MN4Lo7onieqnmZie5qkVyiVPC9XSvuInBqWyBFpFT7IpUnvf85Tikq2lsoZGtjkIsGpfN1D3RkZ6xGxqiWZq3zZT+6aJGgUuTXFVvW4wQ6uWsufVKkVUnUMB1iPN9mB4JD6tCkp6TKpzWCkzh680F7zUr5renaNZRRct78+raH7XhUTT+ws0vhPvlkVxXVY2iNYP12n/8xadAq2/7nD+X3fp+vc9LkjIa/lM/vzdVdplnvHleeqetGK6X0fpjXL0f+jJ6cgivSmRxOoIYsrOEFHoRViBXDJ2VuAKyTKv0c3+lCqG5chmShfCcyVF/JQmCrw+qSzx2HgQmWf2ev3NuKrqWWpEyI/4wkCSSgNIyg3C1mk/voGuHLPdz6atK1m0dB4zZo5nwSxrfpltzYKl49m4dToe7hvZuW46S6cNYe74AcyeNpR1mydzOn4RUVXTiGgeruAVVD+EwLofCagZSGDNUAIrRxCQOw6XPaOJ9ZiLzw4rfLcMxn/XCHxs5rB7xxhlPHXLGsOx4PHstJnCth2T2bF9Ilu3jGTr9uHsPzoSj+CxhCZP4nTcCBxCvuVQkI7DMTqcc7RtEOHSXWzRESuKq0tHdKMOe88+7Fr7A/tWfs+eZX3w2fENMccGEnp8JD4HR+Ozczie64fivnEUjiuH47BiCP7bR3Jm9wg8DlhzdK8VTv4jiKsdTOrFT7u3pHsohtNsUVuWNPHup1Qx5cJowko34pN8BPfo47iba1kCLwGSBV4W+FieX8AqxhbvaFtlThWDqrd0IeM0s6r4vuRrvWM1D5iqZ0knUXUT7fCK0sBnqXMpT5caAXLCL87JvCn1lPmIrPkOo+ouah3Gs0kuyIpngZcKSRvTJHX0IDRDUkbN16XmGbPdCf8416jVVKPyvJSqj853I0pvT2TRYSJLthFZsYLoml/VLdbEtlEkn+tPStd3pHWLjURH2kUdaX/oSL/0Jaq+fAf4R2iKKzDWiaAEB86m2BOcIWY5O8LyTxBhsCG62Ia4shMkVh4nrd6WrBZHcjvd0V/0o/RGGJX3E6jsSaOiJ5PSnlxKeiQlFGAZ1LbRop48inqy1ZEKTXXJLniDUluyM0tsEHVvGmh4q432yDC1RH2vjPho8QlcjQi0Kl/VY3xRiygtKchLEV4gZXhUbo4yBFxFYi59UqnsDjIsXSNO+LeSGp6nWcHqAq0fulW0vO+m+V03ze8v0PRegNX9BbjECiE1ro4/b9Ipiuqv25z7123O/3Wb839K3KTz/XU6eq/Q9uYiTS80aFU+qKf0plHZH3LOZZPRnERyXTTxpmCiSnyJKPQgvED2HsnGAGe1OlfW51pg9SWwLOByJSJPoPU/gMustpQJ1eKyN3gTVxxISZue1lttmDqMRCb7ccx+GytXzWbT5mWsXjufJctmMnXGWKZPtWLpbGt+nTGcOTOGsmzBaFaunMyqZZPYumQ82+ePZP2vI1g8ZyQ79k7DL/UXIusnE9EykpCmoQQ1DNTgVduPgOphBOjH47R/JIneC/DbORzXNd+rQrjn0Vls2DAEl+RRuOeP4mjYKDYdGc3GzeM5sGcq+3aMZeOqYWxYPZRdh4bjcno03pHDcAjuw8HTOg6E6DiZpsOjULu2E652PWkt9ZgGHQ4+33Fky4+cXP89R1b1wXG9jrP7fiTo92F4HxyFz/6h+G0fgucmKxxWjOTEMiucN4gCG4XjjlHYHRlBQPIIpQ5ksFoNV0uqKCM+N/ooxZVzR0eOuc4laWOOuOq7xxNXuZPQHEd84u1xi7LFPfrEf6R8CkACIYFU7El1EFaOwkoIpD4P33g7JDR4CcDMXy9fF22LjyrG2+Edbf9RrXlH/82IKhex5bCsubOorXe2gMuFoEQJZz4ekJX99J+ljQpeae6ESrcx05XQLDfCstwJz3InTACW40FkrngLJW30IlqiwJUo/UmiCg8pk3tUxWpiqpYQWyfXwiaT1DaWlHPDSO0aQNqFn8jo7kvmxYGfC67/vKsoautMlBOBsc4EJToRnOpISIYjodkOhObZE15wkiiDLTGltiRV2ZHe5EJ2hw8FF4IouhJJxZ0kKh9lYnySQ5lc1OnJo/hxgTk9zFf73Qsfa5d1BF7FAranBZS/ELVVjnQRa9/UqZGeRjWXqM0nyut6UVrmqH7dpFLFqleW9LCWiuc1qpNo6SBawCVPccQLtJTaeiazi9qWB/Fn1b9tp/HdOVo+dClgtf15EYnWDxcVuARaH8El8HovxfnLyg7R9uEq7Qpe1+n4oIXAStJCDVh/0PLqAo1y5edJC5UP6ii9ZVRdRFXXakklpT6WxKow4soDiCryItLgToTehfB8mWVzJiLPxQwkgZMGKnlqr+XPPoeWG+H5bkTka45mcTUrx72oLTO0xCWfUHIGU1cZV3tu03LlAolZiRw8vJpNm6axac10tm6cw4rfprNgwSRmzBzDkkU/s+TX8cybPoxFM4ezfO5wli6xYuH8kaxZMoYjGydjv3EiWxdYMX/OcHYdnYhf6hyiamYo5RXcNICAhu8JqPuOwNrBnCkah+3BQSR7LeD0LiucV36P09r+nNozmQ1r+uOWMgrPwhHYJoxkl5M1azeNZc+2SezdMo7tq4ezeeVQNmwcyv4Tw3E4PRj7s99x6LSO/UE6TqTqcDXo8JdxH7NrPq5dR5jpa064fIf9jh/w3v4tHlu/x3791wTs60fYsRGcOWZN4LFRBO0bjtfmEZxcOYbfl47l6IqRuO+yVvUwD++RRFcMINmyMNDcxreASymuOzqyzMpLwJUrSuzSZDKbDpFpOkNkjh8+CadwV4CyWCE+U1KipmI1NaWBSYOTb4IdlvBLsEc2pVrgZQGYQMw33gy4mJNqNtFHwCc/M0azRHx00Efbq+Frf6l1qXqX2CJktbN20iwgwYXABOGAOcRRL9ev/wdwhaS7EprhpgAm4ArL1OAVke1BRI4nkbkCLm+ic3yJUXUvgZc90YbDRBXvIbp8CzGmVcRWLyKhfh6JzbNIbp1Bavtk0junkHl+6j+DS6AVEO2swHU20ZngVCdC0k8RmnUKOVQZlu9ApN6emFI7UmpdyGz1Jf9CMIVXYii7nYLpYS7VTw1USpfwqUFBq+hRAUWP5ShFrrqoY1DgkvuGOZQ+EbVVRMVLqW0ZNbUlO+RlZU1vK43vtM5eQ2+LUls1kiK+sUBL0kOtk2ixQPzdZCrpooTs05I/K39apaAl9bDqVzKgLf+eNpreC7i6afnzAq1/yfMPmj8IoMxK61238m8JtBS43snurcu0vr9MmyXeXaK9V4vWNxdpedWlgNXwrI3ax01U3q+h7FaFZn3oyiOrNY3UugSSqsKJLw8kulh8Ux5E6mU/kwuRBU7mcCEy343IfLEruKqnvP4yLGrLjYgC948RKXUFGRXSi8FUm1WUzRGpxlBuPLmLb3Qw+47sYc++1ezf/yteTqs48fsSjh1ZwcljKziwex5z5k9i0pRRTBw3gHlTB7N8jhUr5w1n7dJhLJ47hHlzRrBp1UR8j83FcaMVq+cOZuHsIezYMx7fuDnE1k4noqU/wU0/ElT/E2frBnCmbAT2DoOId/uVwL3WOC7vi+2yfthtncCujUPwzhinxoecc0dyJGgc63aMZd1v1mxdN4p9O0ZwcM8wdu4awp7jwznpOxin0J+wDflWnTcTN71nsQauIPFxNeiIbtbhm63j8LHvcd3dn5ADPxG69yd8dvTnzJ6BnD04lNCj1kTYTMB/xxBOrRrAsRUj2bd0NEdXWuFzeCKuR8cREDuSOFnLYlkYaAaX+JCkOC/AyrqtI0vsEKK2BFy3vibv+mSKuo5j7IxGXxdHdMEZfBMcVHFeCvSS9nnHn8RbUj9zCigA+hxMClqJ9vgm2iPg0kJTXfJ1alxIRoYSTmoufPP3+yllZv5ZotykvqVqXCfxj9UsEdr84ucXgZyxgCswwUmD12fgssDLkjqGpGqpo6SNYRlir/EkPMOLCIlM6Vp7E5njQ1SOH9F5Pkp5SeE+qsCJKMMJoot/J6ZsD3HGzSRUbSCxdi1J9StJafyNtOblZLat+N/BFRjjwtk4V84muGjgSnMiJFOrs8gKjii9EwlGd9IbT5N3LozCK4mU3cnA9DiH2hfF1L7UToSV9BgofJzH5+Ay9GRjeCxpYpY6GyZwEx+X8ZWmtmRQWjY+1IvCeteqoq63hdq3XwJLwCOqydJF/Ojb+swZb4GWKDCBVsUzGQWS3VzSgZRCv6SdLTS8a6NJivGSGv558ROw3gustLqWmE4lLOCS4erm3j9oefcHrSou0vr2Ai1vumh+de4TsJ40U/2oAeO9KkpvllJ4xUB+Vy5Zremk1sWTaIwktjSIqCJfIgweRBS4EKV3JkovT8tree9KtEHCjWi9G1EF/xlKXeV/gpYATNSWgCvKIF0dGajWVt7Ibz8XP2cWLZvJbytnsmXzAhxPbsHLeS/H96/AzXETft67OXpkFdNnWTN+0lB+mTWCjUvHsnaxNZvXTmXtirHMmz2MX2cOZeVv4zl5eB6uu605tWE0G38dxuKZP7Fl01CC0xYQ3zKe8NavCGn6juDGvgRW/4BL0AAi3Gbhv8sa24U/cGRJf2y2TmLntuH4Zk3Ct2wEroah2MaOYePBCaxaOoptW0Zy3H4kjp4jOOE8AqczI/GPG05AylA84wdiG67DOaMP/mX91GFWOc4aKKM/VTrsI37g0N4RnNo2DN9t/XBf8QPuawaqepbP9nGc2TOO4ENj8d0xDKdV/Tm5cij2G63x2DOeINsJBJ6yJi7DipQObae87JWXFc1inLSASxRXphla4ufKufW11m28PpaKq8dpu5VG86VciuuTVF3RL8kBr7gTeMXZqPCOP4FPgi2+8VpYIOQnDnuJpC9D1jxLaNDSgKXMrfJ1iWJ01Ya25ecJwARQEuLjkvEi+VypNPk87ssL2AHxzkpxCbgkZEd9kNS6kl0ITnYlJMXt4zMk1Vz7sowGZXoSlu5JeLonEZleClwKXrm+ROV6EyXPHH9lgI7KdyFa70hssS1xZUdIqDhIUuU+kqp2k1K7i7SGnWQ07f5ncAXFOnM23oVggVaSCyHqP9CVkAxnQrO0tCW+1JPUWn9yOsIwXEqi7FY2lY8N1L0ope6NeLDE9lCk6lmGHrlbmEfh41yKRGmZ46PaelqozKcmpbaq1fC0bH4QxVX/Tou63ibVSRSzqTKavhSXvJYalotf63k1pc+qKBXrg9S3nopL/lOIe770mYwAVavv03ZqidqSf4+ounYNXGJ3EIVlBpZAq75XQnPLK3CJh0vqXhK93bT0dtH89jzNbzppet1C48tm6p83Uvu0nurHNVQ+qMR4p5zSG4UUXckj/0IGOe1JpNXHkGAMJaoogEi9LxEFHoTnuxAu9woN8lvImehCZ2IKXczhSkyROQrdiJYwSJfGg2gJC6D07kTJ5wZ3pbKU0lJD1JqLOUa2PRjccQs/yOx5Y1i2dAorV81k9ZrZ7N4yF/vdy9m5cS5urjvYu2cpy3+bweLlPzN/+RQWLJnEiuUT2LpuAjvWTWL7tpls2/Ermzb/zN59c9m0aSorl47AdoM1BxYNY+ev/di64Ed27RtOUMF0YpqsiGoZRHjLEMIbJxBRuIxw3+WEHv8Fm0X92PtrX37fOIFjJ8cRYJiBb/lINdvomDyWfa6T2LzNmt0HRmLvNRKvSCvcw0cQlGJNZM4owrJH4JN6hCQeAAAgAElEQVQ0CJuz32AT9y1+xQMIq+tHcGU/PLN+wCF6AMechnN45zBsNg/Gef0Qfp83kP3zh3FkiTWnVo3Da701Plus8N08kNPbB+O+aRieO0cTcGQcvketOOtiRVLOENLOaeAS1SXeI7FDfHTJi+qSPVxijbj5jabCrusouDmD1oc+XHtRzOXHRpqv6ClpSiO5OIyANBe8EkRxmaFlVkwfoZV0Er+kk/gm2+GXbK/CP9me0zKc/f+T9tbPWabZGu54d+PECRFChAQJEtxJcHfXuBB3QoJD3N3dcEggrmjQJCTButHu6W66Z9f+C65Tz/N+HzB75szedU5X3fV++RKq5qdr7rXete6lkn/0IfyjDxIgYnHE5yh7qYAoERqofP78XeQh/M/Zy2l5MTnvd8ZeVSp+/Ybxi+MKOutE0FkBL9HvEitBrnIlSDTsBcCkvmrci77XPzmvJC8ikhR4Cdd1PFXlvlJ9pfs6lebF6YzDnM3y4FyuG5H5TkQWOBBVeJCYkn3Elu0jrvLgfwaXAi03jkS6ERblpgKXO0fjXQlPduNUlqe8r5d06QhZ9WfI74inpCuDiqe5VPTkU9KTT8GTHHIfZ5P9KBMBrqxHaWQ9VKClhpc4xCpuHRZ25ypDp33FVAyUU/lcOK7zCFipgSXGH76GlnBZ6tJQOi0JLTHiUErek5LPEk14cbBVNOzV0BJuq6LvAtViIv65aPhf5byc2arh/AshASkFVgq06pT4mpeNiDEI8VbxonzTKAZSxWDqFc4PXKK6v5rqZ+VU9ZRS/qSI0kcFFHflUngni/yONLJbEkhviCKl5gxxF44RWRrKSTn24CXntcLT3eQV42OZzv8ErNM5rpzOcVOU68bpXHdO5wh5cCr7K2V5cCrLQ3FkWYc5KSUWpz3lgrQAlojEEXtjp7M98Tu7m9m2xqxYZcnqNZNZuMCCNQvNOGhrzoZVNmzaNIutW5ew334TC1eMZ/pCI8ZP1WXG3NEssjVk6VITNm+ayMYNE7B3WMim7ZOZbKPFjOlaLJyqwfrJI1kzfjDLrb5j/qRvcPGaRGSBLVEVizmdN49T6bb4H93G4UOz8N85lX3ztNlnO5pdq0fjGWpBYI4F3nm6HM7WwjPdGKczZuz1MWePhxHOIfr4ntHDN1KD8BR9TqTpE5aoyeHTw9jh/yc2+P4R55jhHCnRJLRQj/1HdFm1TYtdm/SwX6eN/Qpt9s7VZNcMHQ7M0WebjT67p4/CZY4GvrbDCF49BP8Nmvht0CVkx2jCDhjhv0ePiDAdokq/UV7Vi2HJRgVcSS2DSG77VlnzkUGCAmR/kj8rbxv/TN792TS/OMWjt1V0vbpI29NyropI7svxxBZFcCTRA78oUQYKSB1Q9hhVEJJwij2Ef6w9AXEOBMTZExgr9h3/h8R3Mh7HnsAYIQcZAy2ioL+WCCoUUqegqgdQ5d6iOi1COKyzXyR6XQJcCrz+38ElSkh1w14pGb0IT/gCrmNJPgjJslGAK9WfU6n+nE4L4GyGH+eyfInM9iEy25voXC9i8g8TU+hJbIn3/w1cYZHuCrSi3aUlPBrvxrEUcfTTl9iKUFKvnyCvJYqS+8mUP8mivDuX4ie5FDzOJu9RFjmPssh+mEHWo9TP4BLQUua3VFeln2bJKfri3kKlvzVQRqU8fFFN5XP1cKkyFa84LWUXUUBIAZeYjhduS3FcYlI+/2mpdF7CfX29LF0icuJlX0uEDl7k/PPL0m0JcFW/UGa4qp/XSnclHJYixXEp8TWNXBQxNi9uclEOqIremHjzWUmV+N/dV0R5Tx5lT7MpfphOYVcq+XeSyO2IJ7slmvSG0yTXHiP+8hGiKgI5XeTD8RzRhHcjQjTiM104nuX6GVriyKqUgJaAVa4bZ3Ldv5JygPW06hDrGQkzd06JZ7Y4wqroZLYKXDLeWQHXOZFsmu6OY8BqNu2Zwo59c1m1xobFIsBvjgG2S6xYunw6u/dvZNmq6SxbOY3Va2cyc6YpE621mTZTh/mLjNm8ZSLr11uwfedUNmy2xG75aGbP02OcxVBmmQ/BdtwwVk7WZtOSMRzaMxsX94W4+8zD9/A0wrzn4OO4mO3Lx3J40wQcV1ngsWcau3aNJjDJEv98Q7yzRuOdOha/5IkEJE7G66Q1TkFWOAWa4nZ0NG7HtAmI1CMkWpSLmjgfGcZmt79gt/cPbPMfgk/aSPxSdVh/UI/F8/Q4uNYAzw06HFgwnFXjhrB1igauC0exf7YBh2br47NIm8BlI/BbNxKPjbr4bR1FxF4DwvYZELJfj3NJmkSJlAlx0UdIhN41/IHklqFyrSdJuC0ZJKi8ZRTQEhK7i0WPl9H5PonuX67S81MtD76/QkdPJTWduRTXxJNYEkFEiieBsY74xx4kQABIKO4QQfGKAuMdCEpwIFjKnuAEIfXPDgTF2xMUZy/zvUQoYXCcA0FCIoUi5otENHSQcGzRDgSKz1HiwvW/6ovTEm7r34Prs+sSZaNaYlA11oOjcaJc9CIiwfuzjiX6IHQ8yZcTyX6cTPHndGoAZ9ICOZseyLmsICKzgojKDCY6K5jY3EBi84KIyQ/+v4PraLQ7R2MUcIUnuMmolMiCABLPi1zxsxTeiqP8cSqVvdmU9+ZR8ERAK1M24kVfK/thOlkPU6VEiSigJQdOxXVp6baUgVMxu1XaXyIPXIi8+HIpJQlCSTEVfSkl+aG4V4GWGlxiz1BILEgXdVfJs2HqzyW91YhZLdHPKu8TDf2LElpipEI0+xVoXaXqxTWqXlyXyQ8i/UFAq+q5gJcAl2jOC7cl4pnFEKpYtL5E1QtxWaiUiucFlPfnUNabTsnTZIoexVPQFUPe3UiyO0+T2XqC9MZwkmpDiLviT1SVF6dL3DhZ4MzJPCdO5bpwMteFU7munJJwEoASl6EVl/U1rM7mCVgJeHkgPsuf5fMwZyXABOCEDnM6x1M6K+GupFQ/i2MakXl+ROcHEJvvj/fxzex3X87y9bNZYDeJleumscjOkpXrZrFq/WymTBvFrFnmbFxvh/VEE8xMNbGwGMnUKbqsXTeeJXYGrFtnwe7dk9i+wxyb2ZoYm37LOPOhLJiqw76NNuzeOpMFc0yYPkmbOVNHsH25Pv4HrTgTOIf187XZsUgfp03jsN9jhWuYOUeKzfEvHIV/xnj8zs3B+8gc/MNm4Bs4DSeXSew9ZMVeZzN2Oetj76GHi6cOzh5a7HMayZqd3zJv1Z9YtuevOJ7SwOm4DrarNeUupM9OM4K26nJw9iBsjf/KhvGDcJyjycHZ2rgtGEXA0tH4Lh2F95rReK3XJ2CrAYHbDPHZNooj7lrElgwltu4PRAu3JXKjRPRww59JbPmzBJRMP+1UsuZFuahWSqcGxU820PY+nSe/1fLs90Z6f6nn8dvrdPZVUXsnj9LaeJIrjsmB4NAkR4ISDhGUcJDghEMEJxwkJPEgIUkOUqHJDoQm2ROadIjQJPFZ+T4k0R6pBHtCpBwIEWCT6aoiYVWRyAALjlUDzZGgGJFzr+hrgAlwqftbX4NL/aZRznZ9LhdFv0tRWIwHYTGHORrrSXicFxHx3p91LMGH44m+UieS/DiZLMDlz5k0f85m+ktoRWYGE5UZQkxWKLHZR4jNCSM2N+x/B5d0W1HCcanAFedKRKIbpzK9iS0LJu36CfJboynrSqKyO53y3myKxYDpI/H2UOlnZT9MIedhKtkPRHM+XY49KFPyAlqZqrktcVlacVvilJiAV9lAOaX9ZZT2i2eFlEgxlUmmIqpGhgOK2JlyirsrKe85T0XvJap6L1Hde4Xzaj27TLUYLhVzWmL3UO4fXpHNeNn4l+MVwm0p4Kp8fp3KgVoVvL5A67yA1qtGVfl4naoXl6h8UUnF82LKB/Ip68+k5FkyRT2xFD4+Q/7DE+TeCyfrVgjpbQGkNvmQdNOLuGseRJ134UyZPaeKDnKmyF5mM50rdiKy0IVz+W5fwciNM3nunFHBSQ2pf36K3S9xj8+Tc0J5is7kHVbAlXuYMzmenM0RUc3KQQ15CSjPh3P54pZiIInloeRcPs7RSEcWL5vGQttpbN21mFkLx7J17xxsV5kz3loLI6NBaGl/g67uNxgbfYe52SCsLIewdIkpC2eNYsUiEzZtGMfqjRZMn6XDOKsRzFtoxvLl41m80Jjp07SZMkmTiZYj5PmvmZOHsXWFHiFuE3HYNpY9Wyzx9piGV4QFQSIGp2goQYVmHMtaztHTO3BzXMG+ndYc3GLJzjXmbFppzubVFjIEcNNSPbYt1Wbb0pFsXDoc2wWDmD77ryxc/w3bPTXZ6iReHAxn32oTgvaacmzPaAJWaLBt4t/YOulb9k0fzl6bkXJea//c0ey00WHHbH281xjit2k0DqtGsW+NJsFHtYi69DfZ0xLgEpPcMfV/JK7xz0pzXqRAiDeKt9RHMr4Glx6l3Ttp+ZDDg99r6f7vZvr+u5Vnnxp5/KGG2wNV3LiXS2ldPGnVx+URk7AUR0KSDhKSfJBQqUOEpjhIiVgcobBUe+XnVEeOpDpIKX/jyJFkR44IqCWqsuzjlXhoEREdGqcoJF6krwqIORES60RwjJNswIsmvJS4vSj7WwJgiuP6umGvHpNQ+lwCWh5SAlpqcB2N8/oneKnBJaD1BVyBKscVwLmMICIzQ/gCryPEZocRk/O/gCvsrBtfwKW8ORD9rWNJHpzN9SfxfATZjecouhNH2cMUSh9nUPg4U4HW43T5FlG4LAGs7AcpZD1MllLcVrrcUSyQDfnczxemZaTNV7cPP+8oqpJMZShgj2iui0RTkWxaKWNnqp5d5vJADbUv6ql/3UTT6xYaX7VQ97KRmy8bqHlRx9XnN7g8cI0Lz69yXkj0pF6KtIcvoxZVL8TKz3Uqn9dSKbLkZako3iI2qCSclwpazyuoeF5E2fNsSvvSKO6Np7DnHAVPT5D3OIzcrmCy7viQ3uFOSqszSY32xNceJObKAaLO7yOyag+RVfuIrhLjJM7ElLsQU+JGdJEbkQUenCs4zLlCDyLFM9/jnyW+KzjM2QIPlcTf/Bvlie9UQBO/L/DkbJ4X5/K85cHYyAJfxNXquNJgkoqPEHpyH+s3z2bqNCPGjddDU/dbVm6Yyoq11kycpIuF6QjmTTdkrsismmnEglkGLJlvzPKFhsyZPJK1y4xZt9oEW1tDbJeOZfosXaytNZg6RYO5M7SZP0ObOdN0mGiliYX5CCzMhzJvzihc90/F08uC4wkzOZZjTWiREQFlGvgWDyKsZDLROfuIjvQn1NcZD8e17Nk8nS3Lzdm42IyNC83YZjsGx42WsgQUDffdy0Wi6XfYLfiW+Yu/ZenqkSy11WSJzXA8tpgQuF2b0A3D8LH7hgM2g3GeNZxDc0awXbjA6dpsm6HH1qk67LHRwXu1Lh7rtNljp8me9SM5EqdDdI0qveCmCLcTU91/k8vBItlAlIgiEUKMQSjXfZQyUZwoS79lQlXvQdo/FtP1200e/VcjT/+7ib7/bqb3000ev7vGrYFKbj7IpaopkeyLp4gtDpAvaMLSDhGaepCwNGWO8qh8OnI03YGjGWIo3F6OKIkxJSH5fboj4eLuYaoDR1MdEBA8muzEkURHKXGUQ5GT3IMVAFMrKFZxYMHShTkQGKmcMAuUAFOXi+IpZrvU2V0KsNTgEk8FXN4cjfMhPE5xXAJaxxK8OS5KxUQfTiT5cjLZj1MpgZxOVcMrkHMZgapSMYTorFBissKkvrZc/zI5r4DLjaNRitsKj/VAlompXsQUBZN25SR5rdGUdCnjDwWPUsiTe4dp5HwFLgkvAbDPJWI6eU+yyH+aLRvyYidRSDgueWlalcH176BV0iveBiolomjMi4n3C/1XuPr8JnWvm2h+00r72w463t2i891t+bnlhzYavm/m5qsGrr28yRW5eygGTa9KcMmmuhi3eHGFyufKrqIAl1IqClCpoVVP9cubKHCrpnygmLKBLEr6Eyl6FkVB70nyu4+Q9zSA7EdeZHa5kH77ECkde0hs3UZ8w2ZiazcTc20r0Ze3E3NpF7EX9xJ74SCx5x2Iq3ImtsKNmDIPeYY9qtATtQS8hMTP8nOhgNo/68vvv/y7qALx2euLisRnb6IKfYgu9CW6yI/YkkBSKiIIj/Rh76G1rBC9rOXjsV02jklTDLGwGs3yNVNZZGfBuPHazJpiyMLJRsyy1mfxPBN2b7Rh0xoz1iw1xt1pMjs3m7J5pTlbVpmwaJEe06dpsGjmSJbN1mSBjSaTxyvAmj5jNLv3zCcmzoHjscsJzTIlpFSboPKh+Jf9DZ+Sb/AuGEl4yXzixFvVEz4E+zgTEWyP074l7Fg9iY2LzFk7zxinLZac8V/CEZfJuG3V48DqYexYPpy1i0awfP4Ils3RxM5Gg3UzdPHZOIaI7cMJ3zgY54XfsnfaILxtR+Jlp8eh+XrsmaPJ7ukCYho4zNUgeIsuHht02LNcC4fdmpzL1SNBtT8nkgokuBq/k28U5f1EVX9LfFYu/ahy1MUO4y1DqnodaP+xlK7f6nn4jyYe/aOBJ//VSM9/NdD9Sx0P31/l9ssqmh4XcrE1lbyrZ0goC+VMnhcRmU4czTjA0YyDhGfaS0Vk2qPWsUxHvshJ/v2xDEeOpTsSISHmIM+fHU1xkgALS1YOdBwRO7CJCrzEIr9QSLw4keZEaJzKhUU7ERz5VckoRyTUTXo1uMSbxS/wUjuusFgvjsZ5/w9wKdAS5aLacf1PcIlel+hxKX2uEKIzj/zv4DpyzoWjkW4cjXYjPMadiDg3jiW6cybLD3FpJrP2DEWdcVQ8SqH8aTpFT9LlEKlIelCDS8xuqSXWe8Tv8mRfS4GWyN5SgKWGlsjfUuduKU+RGS+kQKtCzl+JGayyZ9Vc6L/M9Rc3aXjVROsP7XS+v8XdD3e49/Eu9z7ek587392i9U0bDT80c/P7Bq6LdR4JLzGzJaJqFOclgCR6XIrjEv0rUSaq3ZZ43qT6pfj9RSqel1I2kEPJQDJFfVHkPztBXm8wud1e5DxxIevRITK6dpN6ezNJHetIaF1FXONKYutWE3djPXHXNxN7dTtxl3cRf3k/cSJp4YIj8dWuxFW6E1t2mJhiL6KL1FJgFF3kiVCUkACb6rP8XgT8FXvKfyf+rSJvYoq9iS3xIUbKm5gS8Z0PsSW+xJX6y6SH1NIInD12sWHTAlavns1iW2uspxhgaaXNdJuxLFpoxapVk1iyxIJp0wyYOsmAGdOMmTtnLGuWmXNgmykBzjb4O0/i4IaxbF1kwLqFemxcZchqW12WztFgns1IJlkOZ+KEkSxdNhYvn2Wcjd1Katk2jpfZEFKhSUDlH/Er/zM+pX/Bu/hP+BRpcbZiHUlZ3hwNdsbNfhPHg/fh47qUfRutWb9gLMtm6OOwZTzRwcsId52Mx1Z9nNbpsH+ZDjuX6LFlnhYrpgyTaaU7Fhjjv2kcIZu1iNg8BG+7IRyaMxzv5Vp4LdLFYZ4+jgu0cFkwggOzhuBhp0XwVj3cN2njuFWbgEBdki/qkij6WiK54IYoE/9CYvM3SsKpeJPYrgKVcF/yzeKf5BqQiHJO7jSj+pk3nT9V8/D3Jh7+o4UH/2ii6/cGHv2jnqe/NfD01zoe/3Sd+z9coLW7mKu3UimsPUdy5VF59Fdeus5y4Fi2vUqHOJ5jz/FslbIcOC4lxmnErUbHz5IQy3DiWLoTEWnihqNwYyqIJSn3HMOSnGV8khpkR+IVeIWKMjJKDKAq8Ar53KRXoKWsBIm3jP+uVBTgUnpcitsSjkvpb/0zuAI+O64zaUGcTQ8iUpSMGaomfabiuv6j45LginIjPNqNiBg3jsW5cSL5MFH5gSRfOE5OYxSld5M4/zSL6t5cSnsFjDIlmHIfZ0p4fQaYhFaG4rSeZFP4NEfObIm3iIrLUgcGqoICVSfFlFhmBVyiKS+ApUCrivP9l7j+oobG1810vu3k3vt7PPyxi8c/PeDxjw949GMXDz52SYgJoLW8baXhhyZqX9dzVaz1vLzGJTFw+kK4LQGtL8356pc1ElRyJ1FOzIvRCNG4F9Aqp+x5LsUDKRT2R1EgoPUshJzew2R325P9ZDeZj7eS/mAtqXeXkdRpS3zbEuKabYlrWEZ8/Vrib24gvmYLcVe3k3B1NwlXDpBw2Z6Ei04knHcjvtKDuHJPYkvF618vYqQEzASY1HASAFJ+J/5G/m2pJ3FlankRV+pNfJkX8eXeiirEU/k5ocKPpMogkitD5UL19j12rFxpw6xZ4+Rqz6hRwxljNJyJFjrYTNBnpa052zfZsHiROXPnmGG7ZDzr1kxh6QJDVi8ZhcMOK7ztp7BrhTEb5uqzY804Duwcx75txqxZNooFC3RYssSAzZvH4+u9FC/v2YRG2XCszExO0QdU/gE/EaksoFWigCuw1Jio8i1EJ7ri6baZPVvnE+SxjiD3RbjtmszmxcYstNZm9XwDDu+cgNcWYw5v1MNjgwGOKww4sGQU22aOYJHFtyy0GsaBFeYE75yG98bRBG4Ygo/dEJzma+C5VBe3eVo4zNLEY5Em/ss1cVsyHP+1+vhs0MFtkzbu+3QIP6lP0hUdYm78UYIruv4vJDT9iRSRLy9KRNWbRFEyJqiGUcVAqvg5vvU70m7P5srz09z7pZZH/2jl0X+10fV7M3d/a+Dur3Xc/7WeJ7830v17PU9/ruXB20u09xVx7U4qJTcjSa+OILY4SPY8T+Y4cyLHnhO5BzmRd4iTufaKchw4meP4WeJeo9BJoa+AdizTiWMZTkRkOKog5oTaiR1NFplvAmBOHBFRSmp4iaMZsc4qgIkSUT3PpYaXWMR250iUB2FCn0vFL815AayvoXU8UfS4/GVz/lSKAi5RLp5ODULA61x6oAKujGCiMkKl6/qP4AqLdP0MLQGu4/HunEn3Jr70CBnXz1DYHk/Fw3QuPMunqr+Akmd5SiDgkyzyHmeSKxaqHyvuK+ez08qk8GkuRd15lIigQPEW8VmJKtn030GrglJ5fVq8TRRZ8oqq+i5w5fk16l83yHLw/sd7PPnpMc9+earo5yf0/vyYp39/JGF29+Md2t+30/RG7bpqufzqOpdeKfNX6reKwlGdf1XDhVe1MgVCSYJQoFUth1/Fm85CSgbSKRyIJr9POK0Qsp95ktV7iOzuHWQ+XU/Gk2VkPFxI6r25JN+eS2LHPOJbFxLfbEt84woFXjcUeCVc3UHC1b0kXjkkl9QTLzqTeN6DhGpP4is8iSv3Iq5MkQIdL+LLfBRJIHmRUCHk+ZW8SKz0IqnSk0QpL5KqvEiqVpRc7UPKeX/SLoSQUnEEz0B77JZNZ+pUE0zNtDAcMwKD0YMxNR6O1ZiRTDYdyQTTEZgJmY9g1gwjFsw1Yf7sMUwZr4e1tR7m5iOxXWjE/p0Tcdk7jQCHBRzaNgFP52n4eMwi0GcxR4NW4uU6j81rzFi7XI89rnr4ZugSXPFX/CW4FLflVfZHvIpFiqkxx/NtCTi2ih07ZrF+tTX7t8/B68AMfPZNYf8aC5ZM0cXGdDDLJg9lzzwtXJfp47LSgH2LR7F1thZrpwxhnvm32E7W5vDmaUQcnI3XJj081gzDaclQXOZr4GWnj+tCLVxmj8B70XAClmvguUyLwI36eG/Qwnm9Ji7bdAjy1+dEjhYnq74jquZPJDSKEQhFKSIVQlytVoNKLFw3K0OpykS9Fnlda2l4k8vDTy08+a8OHv6jjXufmrnzaxN3fm7k7i+NPPitkSf/aKTnd1E63uDBu8u095dw4146lQ0xZF04TmJpENGFXpzJc+ZUvrJ2dyrPnlN5DlKn8xzlZezTueJt9RedlkBz4ESOgJmzlOLKxEqZ2oU5E54itmPEoLnYlHEiTMArwZlQcaZMwstFxtuI6Xm10wqJdEcoVIxPqcEl4aW8VfziuAS4/KQEtNTgEvD6Aq4gFbiCOSdcl3ReomT8P4ArPFJxW+ExbrJMPJ7gQVS2P0nV4eTUR1J6J5nqpzlc6CuSs0slzwpkz0r0r5QECGWh+nN5+CRLGTLtyfvc0yqVyaZlMp5ZfRijTP0WsU/MW1VSIsDVV0mp/FlZ0akeuMy1l7U0ft8ky8OuH+9LSPX9+pSBT90M/NZN/ycBscc8/rmL+z/e4daHDlreNlP3Qx3XXtdIcF0U8Hp5Xfa7xNS8AqwbXJTpELVyil6sAYmLQ5WyGV9A2fMMigcSKOw/TV6fcFpeZPXak9m7k6zuDWQ+tSPjyVzSH88g9cF0Uu7NJOn2HBI75pPYtoiElqUkNK2U8EpQOa+Ea7tIvLqPpCv2JF92JOmSC8kXD5N03pvEKm8JIQmiKm+ShCSUvEiuEvIkpdqT5PNCXlIpF7wQSj3vreiiNykXvUi55EXqJR/SL/qScSmAzMvBJBSEsHn7SqbOMMfQWIMxhsOZZK6FyaghjB09kvGmeky2GsX4cVqYWYxkwgQt5s02ZuYMYywsdBhtMIyxpprMm2vOwnnCiZmzaP4YbGeNxn6LNXvWWbJtpQmblhqyeY0Jy9bpYjNvKDbTh7JkyXC2O48gMEePwIpB+Fd8g2/Zt/iUih7XX/ApGkpgvhnuJ6exZdcUVtpascbOkj2rLHDdOh4nMfg614wZY4cx1fgbFlsOYtN0DXbO02XrPB02zNZkzYyREmpb5mgRvG0cp/aZErplED6rv8Nt6TA8bDXxWWaA82IdnBdo4bpghHRbXqt18Fqvh/taLeyXD2f/8kG47xqOV5AWfvEjOHdxOElNyiHTRJXDEpPzUk1/km8YRQSxgJZQUrspZU8dufXhEo9/7+TxP27z8PdO7n9q486vrdz5tYW7n1q4/6mZrk+NPBAl46ebPPr7de69vUBHfykND7O52J5AwfVT8v9wYov8Zc/zbIEjZwrt5UXsswVOnC1w4FyBPWfzHTmb7ywBd+tl6GoAACAASURBVCbPVT5P5ytwO5mrdmUCYC6cEFsamcpO7LE0ZyJSnQlPdiJcpO2KNb9E8XQhLEHsLLsSFqdMy4dGuUlYKeDyIDRS5bZU8DoafZijMeKNomjO+xAR/wVcaoAJaJ1ICuBUchBnUtQK5GxqEOfSgolMD5ESjkvo6//+pTkfEe0qS8TwWFci4l05mexBdF4AKZeOk98cQ/n9NAmuqt4CynoLJIzE9Ltouquja0RQoEg4FdHMcjJeQkvltPqKEaMPX5rwZfIeohpcYmlaSg2tz+C6wPmBK7K31fxDswKuD/d4+tMj6bae/9bNi3/08vz3Hvo/PeHp3x/Q9eMdOt+30fymiRvf3+TqKwVcl15d5/KrGi69Fqr9rIuva7j4SjTvxZxWNZUvyqh4UUjZ8yyKBxIp7D9HXt9Rcp75kNXrSEbPDjJ615LRs4SM7llkdE8l/elk0h9Zk/ZgCil3Z5B0aw4J7fNJaLElsXkZiY2rSahfR8KNTSRc30bitT0kXj1A8hUHUq44k3rZg1QBmos+pFzwIfWC8hSf1T+nXvTmfyrtkg9C6VK+pF/yJeOyL+liCf6qePqTddWX7GsB5F4/QnzeUfYc2szUGaaMGTMCw9FDMB49FGN9DUyMtDEbq4X1BF2mTdRm6jgNZo3Xxm6OCbNnGjDGZCj6o4agrTMUA8MRTLY2ZLK1HnNmG7N5/QT27pqI6+GpuPta4xkwkYDT44kotiawwBT3BAPcTujh6KOLfbA2fvnaBJQNw790iJRvySB8igbjX6SBW5wJGxzMmT/PlKVzzNm2zBLHzVY4bx7PdjsLZo/XYLzB35hi9GfsJg5i83wtdtnpsnOxButmjZDxzLvmDeXIhuEkHBrG6W1D8bYdgvO8obguHIb7In08bPVxt9PFfYUWnuu18duojccKTVyXaXJgxRBcdo8gLMQQew9tNrkMJij7WznLJUAlABUtMrkalAl6NazE97JsbP0b6bdncqk/lPt/b+Dxb/d4/I+7PPz9Nl2fOrj3STivNu791sp9Aa9fG7n7cx13/l7L3Z+uc+/jVe6/u8Ttl+W09uRy7U4SFfWR5FyMILE0QLYPoopcOFfkqJIT54qciSx05FyBkBPnCpxRoObImQInzuQLOXNauDYxO5ijDD2fzHKRC/3H0p1RACay35yl+xKrfgrIBMAUeIk9RQmvKPH8v4PreIIfap1I9OekAFdSIKclvII5kxIoJcClhtf/EVzORMS5SB1LEKerPIkpDCLt6gkKWuOofJBOdU8ulb0FlPaq8uOf5ijDp0+yJcDyxc/dOcrytHx7qIZWiQItMWz6+XirqimvclxqcBWrAKY4rvOUPbtIdf9Vrj2/SdP3LfINYteH+zz96SHPfnki3daL33skuPp+fcyTn+9z78dbdLxvpfGHBmq/v8HV1zVckarlyutaLn9/g8vfi2cNl76/zsXXVzj/6jxVLyupfFFM+Yscyp6nUTIQR9HAGfL7j5L7zJesXicyenaT3rOWtJ4lpPfOIKN3Ahm9FqR3m5PxZBzpjyaQ2jWZ5Hs2JN6aRVLbQpJa7UhsXiHhlVi/gcQbW0is2U7S9T0kXztI6jVH0q66kH7Ng4wr3qQL8PwbZVzx5f9dfmRe8SPrqh+ZQtf8ybouFEhujS95tQHk1YSTWnya9duXMnGyIWOMh2NsOAwTYy1G64/AxEQLc1NtJk8cxeRxGsw0G8FUg++YYDocY6MhEnJWppoY6g1DT3coE8ePYvasscyaaYztorHs2G1BaORc4ortyLi0noK6PeS32ZNSv5LIK9YcqxjLkXRzDgeZ4RGpT1DhKEIqdAmq0MS/VEBsGIGlmnhn6bMraAzzlxthO28MO9eNx22nNW5bx7PTzoS54zWx1P+GSYZ/ZbH1MLYs0mOnnS5b52uybsYQVk35li0zv8Nj+VBO7hhMyKpBOM36joNTBnFgynccnD4Sb1s9gtaPxmeTHoc3a+OzUQf35do4LRuB49YRhISZcDregg27tbHdPhTftG/lmfhYkQ6hykgXw6jis/gupkl5CnAlto0k574d11+e5eEvbTz67T4Ppe7w4LdbdP3WyYPfOnjwWztdn1q590sTt/9eT8ePtbR/vE7nx+vc+/EaXR8uc/eHStr6C6h7mMHFtniKrp8irSpEvoSJLnInSgCr2AkxFxhV5EikUKGicwJkhQ6cK3RSVODMuQIXzuS7cTrPldMCYNkuSHhlqdxXuthLdiEiVZUDlyzg5crRRFeOJrgiNmnCxH5itACXUioeiXRHSJSMasd1NFa8VfzKccX7cVwlCa7Er8Gldl1Bn13X1/D6j44rPNqJYzHOHIt34USSG2czvYgvDSGj5hTFHfFUPcrkfG+eKgEiX8JJLFSLqXn5fCpimsXVnjxleVo97iDKQ3Gxp79UTsj/C7jEzFZ/heK2VNCS8OoVC9XnKX0mLu5c5YoYgXjVRNubdu6+u8ujj130/P0Rfb8KeD2VpWLPLw948NMdbn9op+VtE3U/3OT697Vc/b6Waz8I3eDaDze5IvRGQOsqF7+/xIXX56l+VU7ly0LKX2ZR+iKZ4udRFPafJL8/lNw+X7KfOUtoZfSsl9BK7Z1Jau8E0p+ZkN4/moxeYzK6zch4bEHaw/ESXil3bUjqnENy+2ISW5cq8GpYS1LdRhJvbCWpdhfJNftIrTlIRo0TmTWuZF33Iuuar5QE0FU/sgSEvtZ1f7L/rfyU72v8yakJIKcmkJzaQPJq/cm7GUR+bQRxWWHYrpjBWHNdzMx0MDfTwchIC/3RGowx0WGssRaWJppMHDOSaUZDsDYchKnRCLQ0v8PEaCTzbQyZYqbJOFNtJozXY8pkA2ymGWA735CdOy3Y52xJeNxiym540PE0g9s9FdzsiqW81ZX0mg3EVNlxJmE5h4OsCE605FjRRMJLxhNWZCZ1tHgsRwrN8YyxZONBM+YvMGTFYmO2rzJn7wpTNs0bxSLL4Uwa/TemmXyL3TQNtizWZ9tiXTbMHMH6aUNYbzOIbXMG47ZyJAEbhuCxaBAHbQS0hnBg0hD2Tx6Cn602RzfrE7xND9/NOvhu1sVrrS5Oq0bgtE8T75AxOAcasWjdCHb4jiC89BsZL/zZbdV/cV1RwoGpwCXcV0KrDnldq7nxOpGHv3Tw8NN9Hv3eJeH14Lc7PPztNo9+vyVLx65P7dz9pYVbPzXQ/rGO1g83aPtYQ+fHa9z58Sr3P17h/rsL3HpVRlNPLlfvJFHWcIbMC0dIKPWTb53FLGBUsTPRJc5ECYAVO0qICZCpP0cWioFn4cpcOCtU4MLZfBdESXlabHCoAHZSJJRkuHA8Xcl7i0h1JSLFVYGXBJgIXnBVJUSIxvw/97j+Hbhkufg1uBL8OfkVuITrUjsvdbmoBpcoG7/+719KxfBYJ47FOXM8wYWTKe5E5viQVHmErJtnKLmVSOWjTCq7c+WKj2i2y/Ni3bmIvHhFamiJMlL19lDV05I58v1llA8o5aGAlzw7Js+PiWn5L+AS0JLq/XI6rLL/Kpef13HjZQONwnW96eTeuzs8/NglS8PuXx7w9Ocuun68zZ337bS9babhhzpqvwLW9Tc3qHl7k2tvFGhd/kFA6yIXvq+i+lUplS8LKH+ZLaFV8iKKoucnye8LJadP9LQEtPaQ/hla00nttSK115i0fh3SBzTJ6B9NZq8pmU8tyHhsSfrDSaTen0Ly7dkkdS4gSQWvpKaVJDWsJ6luC8k3t5N6Yw+pN/aTWetAVq0z2bUe5NR6k1PrS85nAAVIAAkI5dYGkFvrr1IAuTcCyLuhPHNv+CMl/0Z8H6gA62YQBXWhFNRGcDbJl4W2U5hobSZjmc0t9DAZo42xsTbmZtqMN9diqqUOk42HM81EG3PT4YzWG4yu9neMHTOShTZGzJ80ijnTx7LEdiITJuozaZKunOfavsGA1SuMsLMbTVDYMm7UxfL4fitd92poasmjuuYkxZf8ySn2JuLoagJDZhAROYeI+NmExU0nImE6EYkziUiezpG46bgFTMbOzgTr8ZpMGafBgkmarJo6khUThrHE9DuWjR/Mxlla7Fygy865WqybNoR104ayZfYwDiwegv/aIQRu+BZP25E4z9Hg4IwRHLIZxsGpQ/Gz0yB0ozZBm8TQqTYeq3Q4tESD3UtGsmWNJqs3abJk/Qi2u44iLEeHqOt/lpHNYkcxul5Z+RET9KJcFEvXAl4i6kakRsQ1G5B3fysN3+fw8GcBqgc8/P0BD3/r4sGnezz87Q6P/3FHwuvBpw7u/tzGrR+b6fjYRNuHelo/3pTw6vh4nVsfr3H/p+t0fbzMnR8qaOnPoeZhItWtZ8i7GkFKRQgxRb5yXCam2J2YYleiBcSKnYguEXJUnsUCai5S54pciBSlZoFK+WLdTNHpLFdOiVglkVaaoWTBiXTdiBQ3GbYgL00luiECBEXZKLZs1M15CS1Vj+trx/UFXP7SdZ34DK4g2ef6/wWuiDjFbR1LdOVkqructE65cJTchrOU3kmk4lGmskjcLcYgxEkxIQEuRWJGSwBLgVbRV6XhF1j9s9uqQOlvlVHSJ1ROsdhLFMCSqqKoR9xMvED5s8tcGKjh+os66l830/KmjY63ndx+f5t7H+/IZvzd92IItY2WN03U/1DHjR9uSglY1b6tk9C6/qaWq2+vc/nNZS7+cJ7zryuoel1I5atsKl5mUPYiSTqtooET5PeHkN3nRebn8nA9qT22pHbPIqVnEqk9JqQ+G0Vavxbpz7XJ6Nch85khGT1jyXhqQfojK9IeTCL1ng3Jt+dIeCW2LyapdSnJTatJbdxIasM2Uut3kl63l4wbh8i66UxOnSu5dR7k1XmTX+dPvnBKNwMV3VA9bwaQX6coT/XMrw9EfM676a88Vd8X1AVSUBdCYcMRyhuPkVUSxuKlNsydOx7L8aMws9BmnLkORobDMR2rgbWFDlNNNZhiqsEECx0MRg9llP5QRusPxcJkJDOtdFg1eww7Ns1hkrUxI7UGY2QygvWrx7B8kTZLFo1i3hwd1q/UJyxsAW5eG/ELPkDYCW+i4sJIzzpOcVEM8ZGHCfaww8N+Cg4OEznkYIWTixXOLpa4uE3A7bA1zq6T2LhqLBOsRmBqNIhpJoNYZj6I5WZDWG42mI2Th7F7rgb75mmwbfpQ7CYOZvW0QWybNYR9cwfjsmQQ7rbf4Dx3KK7zxdyWLntnjuTAnOF4rNLg0NJhbJk9BDurwSww/5ZpJt8we8IQ5s0fwqqdGngeH0tKxWSSrhvIyGaxoyhWfsRYRFzDEGIb/ibBdU5VOqr7XgmtEyh77E7bu2oe/nqXBwJcAlq/3ef+b/d48Ns9WT6KEvLBp7vc+/kWt35qo/1jCx0fGmn/WE/bxzraJMBq6fh4jds/XeXej5e5+66K9heF1D1J4dKtSErrj5N5KYzYYn8icw4jyseYUldiysR2hjMxpU7Kz6UuREsJZ+aC6JFFFbkSVSg2N9w5l+/OWbFuJlNIRBqMWPUTEvBSwirlUZZkEdHsLs+VHRUL1THuiN3msKjDhEV5Eh7jSbgYQP2qVFTA5c+JhAAEtNTgOpkc+B/BdS5NadL/R8elBtfxRFdOpbkTVeBH6qVw8prOUXo3kfJHqZQ+zqRIBACq+liFsixUSkM1sOTIg6oRXy7KQ1VP6+unmNcq76+kTO4kqkrFPvU1agEucbGnmqJuIXGs9Qrn+2u5+qKButctNL/poP1dJ50fbnHr4y06P3bS/qGD1nfNNL5ppO5NPTff1nPjbQO17wS0FHBde6OGVjXnX5dT9aqQipfZlL9IpexFLCUvzlL0/Cj5/QHk9HmQ2XtANuJFTyu1ZwkpPbNI7Z1ISo85qb2GpPWNIn1ARwHXgA5ZwnU9Myazx5zMp1ZkPJ5AWtdUUu7OIvnWXJI6FpDUuoTk5pWkNK8nrWkzaY3bSa/fRXrdATLr7MmpdyGvwZ2CRm8KG/wobAiisCFQJfFZKOCr79S/+/IsqA+koD5ASvnbIIoaQ6lsPk5uxXGsZ5qycu0UFi22YMH8saxaaclEa10mjNeR4w4TzTUZb6E06idY6WFhpomlmTZTrPRZtsCStcumyRmwMWZaaOkORW/0YJbM12blIj2W2RqyYKEB61aOZftKQ+wW6uHuvoTwcGciz/mRkOBLamooMec88PNYzd7NVmzbMJpd+0zZsceS7fut2OloxW5XC3a7jWGHozFr9+ixbu8otu7VZ90KXSYbD2G68RCWTxzB5hkjEWfFVk4ZxnzLQayYPFheoN49azD284eyf/Zg9tgM5eDcUeyfP4pd87U5sEyHg8v1WDdLgzlWw7AwGoqJwUimWGqwcrU2u7xG4B4zkjPFJuRcG09yjTFRtYPkOXhlV1GA628yIUI6LtGor1dBrWEIWbdXce15JHd/rufhJ+Gyuuj6dE/q/qf7dH0SwLrHw0/3FHD9cptbf2+n48dWOj+20Cnc149NdPzYQPuPAmACXtfp/HCF2+8vcOtNBa0v8mjoSeNaVxzVbWcprD1ORlUYMYW+cl0susiVuFJXYstdFYCVOylrZmUCamLdTDgzVxW8XIksdFUBTCzxuyNSR85ku3NaAkwJrzye5sFxcT1dwsuDcJG/JeHlSVi0l5R4oyilAtfnPlf8F3CJXpcoFb8G15kU0aBXGvMCWGpoRWUc+Zpb/5o5L3pbokwUh0FPZ3gQU+RP6uVw8lsiKb+fSNXTdCp7sijrFbuGoixUl4bCaamb8MXyUo+41iMy5BWV/w94VfA1uEpEmdinlIpKiahAq7jnPMU9FyjqvkhJzxUq+2q4/KKe2teiDGyj5W0H7e87aX/fQdv7dlretdL0rpmGtw3Uv2vg5rsGCS4FWjcQ0Lry5hIXf6ji/PfFVL3Kp+JlJmUvExClYfHzkxQNhJHX70tOnxuZvYdI79lKmhpaaqfVa/oFWv3CcalKxeeaZD7XI2vAgMxnJmSpm/UPrUm7b0PKndkKvNoXKa6rZRWpLetIb95MRtMOMhv3kNlwgJwGB/Kb3Cho8qSoyZeipkCp4qYghIoahQLlZ+W7QPmz8v2X3yvACqCwMUD+m5KmUKpajpNfdZK5iyZgt9yS2XNNmD7DmHnzDZk7bwzjLTWZYK6NlbkOpiaamI3RxMpci4kW2kwep8ck81FMtBrFlCkmWE4wYIyZNvpGwzEaMxy7edpsshvNRrtRLF+oj81kDeZMG8myuSPxcrLG22Uuh51nERI0jyPhyzkStgZP9wU47rdm8wodNtgasnWNDc4H1xMa6MCJEy6citrNmYQVHE+exYn0KRxPn4zviUksWKKLpfFQbMYOZaHlYGwnDGXR+OEssRrMhqmD2Tn9O/bNGMS+WYPZPn0IB+dr4bp0NG4rDHFfY4zTKn02z9Nn3gRtplppMn2yFsvmjWL7Kn0Oumhhf+KvuKf8gRMl2mRfsyK1xozomhHy+Ks4nxUrHdefJbiEy5JOSwWuhGZLyh650fy2lAefbklwCVjd//Uud3+5x91f73Hv13t0/XqPB/IpHNdtbv/UQceP7dz62Cbh1aGCV7uEVz3tH2/S8eE6bW8v0fK6iuZXJTS/LKCxL4ubT5K5fCeG8sbT5FwOJ6k0UGZaRed5EFsqhpvdiKtwIbZCAZmAWawAmHBmAmAlrkQVuxElemVF7srurFj0F4kkIi4py106r5MiDlxcjlLBK0Lky8er5rY+A0u4rS+O6wu4lOa84rgCOJkY+C/gOpsagtC5tFCpyPQjRGX8L0vWsikvysRkN85kHSa2JIC0q+EUtEZS/iCJ6p4MqvuyqXgm5rLUyv8yWCpclqpnpXZXMqqmX3FXwmGJKz7SafUp0TViXqu4r4KivkqK+qookrcRxdUeBVrFPZcRKu29SkVfDRee3+Tay0ZqXjdT/0MLTW/baHrbStNb8bmFxrct1L8TaqJOwOuNcFoKtC5LaFVy/nURVa+yKX+ZTunLeJXLCqdgIIjcPm+ynzmR2buPtJ7tpHavJqV7MSndM0junqA4rT7FaQlgqSVKxfQXGmS+1CLzxSiyB4zI6lXB6/EE0h9Yy5Ix5c4ckjsXkNy+hOS2ZaS2ria9dSMZLVvJat5FdvNecpoOkd/sRGGLB8Ut3pS0+FPaHEBZcxBlLcGUNQsFUNoc9FklzUEoCqakWZEadOJZ0iT+bQgVzUdJzg9k/uJJTJ9uxLhx2piIuBorbWxmGGJhoYmJ0QjMxir9LgEuE6PhTBiny+QJ+liN08HSUheL8aMxsxjFGFNtTMfpYGY6nDVLDdi91hDXnQZsWzkKK8uhTLQezsaleoR5TsJ1pxEO20ZzWFyzPmiGvf1kvA7PxNNpMjtW6LHMehirZ5iwb/VcvPet5Yj7Dk4E7Cb61A5SkreSXbiJ3Oo1pJSswt13JvNmGzDTSoP5liOYazaEmaaDsLX6ji1Tv2WvjdhJHMIuoRkj8V5rit9Gcw6vM8F+uQGb5umxdMZo7Gbps36xIQfXG+G1yxD/gwYcDtHGMfIPOCf+gbC8EWReHk9azTiir2lyruZPRN/8K3H1fyFW3ZxXAStK9LvqvyG1bSEXe09w62OtbMqLElGAS8Dqzi93uf3zXe78fJf7v9zh/i/K8+7Pt7n1UyedKnB1fGyh/WMz7aLn9VFp2rd/uEnb+xpa316l8fUF6l6UU/eilIYXRTT051LXk861rliqW89SVHOC9MpQ4gv9iC3wIrZIbFUcJq7CnbgKV+Iq3KQTUwNMgZgbMaVuxJS4y3IzqsCDSLHsn+fBuRwPzgr3lenBKZG4m+YhM/qOJ3twLFE4L08VrASwlM8CWGpofelxCXgpzkuCK0mUil9GIv4/get4gisnBLhS3DiX7UVCeRAZNccpbI+m/EEiVd3pVD0T4BL7hkLCZRVSKu4hypJQOCwBpgoEsCoGKqUUYCmgEhep1eASAYFi5KFYAEutZ+cp7r1AcY9wWZel0yp9do3yvutUDYiDrXVcednAtdeN1IpdxDdqULXQ8K6FpvdtNEg1Uf+unptvbnBdlofCaQloFVIpSsOXyZQ+j6X4+RkKnwuX5UdOn7t0WRm9O0nr2UhK9wpSuueT3G1DSo8lKT1jSH1mQFrfaFkiit6W7G+pS8WXGmS81CLrpS7ZLwzIHhhDdq8pWd3jyHg0kfQHU0m9N5OUO3NJ6VxIcrstqW0rSG9bS1bbZrJad5DTsofclgPktThQ1OpGSZsXZW1+VLQFUNEaSGVbqEpBVLQGUd4aSHlL4JdnSzDlLSFSZc0hCJXKZzAVraFUNUeQnB/MrEUTmDTZCDNzbQyMhmFoPBxDk2EYmWqiO2owo/QHY2Q0DD29QejoDsJYuK9x2kydboT11FFMnDKasSaajB9vwHjxZnH8SPZun8Sapdp42puzZZ0RU6dqsGzFGHasMyLUYxIH1+mwZ5UWTrvN2bbFhPXrxuJ4wAo/l8nsX2/E8unDWTp1OOvmaLDDVovdy3TZt2wMzhsnEWhvy+nArSSd20t+1gHSozbj6zibvWst2bTIjIXWukw1GcxCi2/YajOE/bOGs2+WFrtn6+O80hLvrdM4uMqCLQuNWT5Tn1Xz9dmx1AiX9Yb47xhD+EETwu1NCPMYjcfJ4TjE/gHH+D8QkPk3Us+bknHdgrhrukReH0zMze8kuMQBU3V5KJ6Rdd8S06hN7t1N1DxP4PaPDTz4pIxBiNJQguvnO9z6+Q63/34bASvhtITu/l30uDr+B7gUaLV+qKPtQ62EVtu7GlreXqPx+8vceF5FTX85NWLKfqCI+oEC6nrTqX2UyOXbUVQ2niH/yjHSykKIzfMjpkCsgx0mvtKN+Ap3+RQAkyp3J1aozF06tNgS0eR3J7rQg6h8D6IkvETp6MFpEReersDreIqHTI8Rzis87rCMsVGyuFSjEHG+cgBVgivOVzUOIRr04q1ioGoIVelziTLxa3AJt6XW17Xiv7xVFGfYTya5cUo05nPF+kgIWTdPUXIrnqrHaXI/sepZIRXPCimTsBIzWUrjvaJfdXl6QFyd/meJ6GUBLOV7ccS1mrL+ankPUdxFlLcR+89TLO4j9l2g+NlFSnovUdJ75bPTqh64IWOUL70S58OaqPmhhbq3bdS/66DxfQeNHzpo/rGTpo/tNH1spuF9A3XvblLz5jpXf7jExe8FtAqoepVJxYskSp5HUjRwkoL+EJXLciWjZz8ZPZtJ615N6lM7Up7MJqXbmuTucST3GJHyTJe0Pm3S+nRJEyXigCbpz4VGkPFiBJkvNch6NZKsV8PIeqVFlgpeWb2i36XAK00Fr9TbAl6LSe1YSnrHSjI71pPdvo2ctp3ktu6joPUQxW1OlHW4U9HhTWWnH1WdgVR1hFDVfoSq9hD5ubI9mIq2IEWtgV8+i+9ag6iQEAumvDWU6vaj1N5JpepaFktWTGXmbDOmzxyD9RR9zMw00B09BC3d4Yw2Gimb7UZjRjLKcCg6+kMwGDMCfaMR6BuMYMIEQ6ynGGJppYPVBB2mTtFm00pjAg7PxNbWGEvz4cyw0WH58jEc2D+FnRvGsHaBBnvXG7J3szEbVhvi6TufTZsscXWYjJePFQ6HjTngMpZdewxx8DDG0XMU+/aOZO+a4exfqcGBZVrYrzTAffME/PfNJ+DgYsIdFpAavpO8sw6ccLdjzQwtFo/7jt3zdfDdOgHfnTPZYWvF+oVjWb7AmLWLjNhqZ8CBtYYE7DUncPsYArboEbxNl/C9o4k4NJoQXz1czv6Jg7F/kPJO/SMJ5aZkXBtHYo0BsbXDiav7lngxeCphpZyMF2fio+sHkdZpRfWzg9R/n8QtMYv1cztdv9yh61fhrBRA3f57p+xn3f65QwLr7t87ufNTJ7d/7ODWhzY6P7TS8b6JtvcNtL6vo+X9TVre19D2oYa299dpEY7r+4vceFHNNi4JlQAAIABJREFUtf5KrvaVc7WvmOt9+dzoz6KuL5267hRqHyRwpTOWivpz5F0+TnJpELEFPsQVeZNY7klSpTuJVW4kVHkQXyncmCgpPYgrc1dU6kFssWgZeRItkkryPGTz/5wIqMxQw+swx1MOcyxJufAj13xifTgW58uxOD8iVAqP8+NYvAIs0aD/DC5RLqqHUJODOCvhJfpc6nJRgdd/BNfJBFdOJbpyJtWdmHwxuR1GXsMZKu4lc6E7m4t9hVzoL6W6r5zq/nKqn1dS/VzcQayW13nEhR5xdVqkKYis+IoBkRcvYpiVzxUDyuVp8Z0CLHHQ9QLlAxcp679ISd9FSp5dpPTZJUqfXabs2VUq+ms4P3CDCy/quKyG1ptWbr5rp+F9J00fbtH88TYtP976DK7GD6JMFCViDdd+uMzl7yu58LqQqldZVL1KouJlDMUvIsjvDyTnmYdc30nr3kXqk42kPF1K8tN5JD2xIemJFclPzUjuNiK5V/8zuNJlX0uASzTlR6jAJcpEFbheDyX79VCyXmqR82IUOX0mZPdakPl0IumPJ5PWZUPqndmk3ppPaucS0juXk9G5lpzOzeR2bCe/fQ8F7Qco7nCkrNONylveVN3xp/p2IOdvBXP+VijVnYokyDpCEAATquoI+vxZ/V1le5CE3eVbp2l7WEZz+zW8gvezddcC5i4ay9QZBkyYpIehiQYjtYZIt2UxTgMrKy3GT9TFwlKbsaYamJprYWyigdUEfaZMM2DKVH2sp+gxzVqHBVN0WTJ3NDbTxzBNXP6xGYHdXF22rBfuyhTbuToc2G5CsPckPBysSIjbzSH3KfidtiYsy4wjZTqE/j+UvQVzlem2tptWPCEuJMHd3d0ad2iaNppuHBIISSBGAnEl7h7i7u7u7p5A77X2t/d3/sF16nlnQrNWn9q7zqy6651zQiiqqLq4x/2MZ4wwJe6Zis3U6jzzVMfQXwMDV3X0rTR5+FiTez9qcPucIj8emcsfp5V5cFYFyz9W4mO8E5vfFvPjAQVu7VLE+PIinl1ZxJXDmhzfo8ON7xbx+6WFPL2uxfMbKjy7roiRGBN9XYunF1XQv6CM0RVlXt1S4oW+Ines5fjZQY5fHOR45PYljhG6+KetwCtTG5eseTjnyP0NXA7ZX+Gcp0RA1SbiO26SN/ya8skgqv9MpPYf2dT8WUD1n0VUfSym6kOJlGdVfyxnWlUfyhCq+DdwFY3lUjSWTdFYBiXjGVPgSqVgOImc/ngyemNJ7YoipTOM1I4g0jv9yer0I6/bj4IuXym8z6l/NwUwa4KSTXGPeI6j/2Ocgh/LABb/CPeEh7jHP+Zd3CPexci+d5Mu7z+WSkxx0d8h7DH2wU+wD3wiRUmiZJScl1j66ik2+kxNO3X5O7imASZgJqA1XS5afQYu0RIhA5cs57L1EjmXANf/knG9ffcAa/cH2Pk+xjXiBX6pr4kocSSp2Z+M7kiy+uNI708kvT+FlL4kkvuTP0mMi0noF+u+ZHOuZGvFkqU1YGKRq1gHNr3INXoKVgJY0d3JvO9O4X2XTFGdaRKw3nemS9ASM7KSxEYdMVtruIis0RJyP0FLAKt6SgJcwnkVkzuWR9ZIJhnDyaQOxpE8GEbSQACJg17EDzoTO2BNRJ8xwV2P8ev4FZ+263i2nMWj+RDuzdt517KOd63LeNe6APdWTdw7NHDvVMWzc8ptfXJcAlzTjuvfwTWbwEF5ggYUCezVJrBzKf7tK/FrXYOPFNZvw7tmJz7VB/CtOiadQgVVXyS48iohlTcJq/iJiIpfeV95l7iax8TX6JFYY0BStTGJVa9IqHxJYpXJFMSE+xLQMia+Ylovp+AmeyZUmJJa+ZakvHe4+7zhlwdXuf/kCqcv7GT3/jVs3bGcA0c2orNIlQ2bdNm5axG7dy9kzx5dtm1bwKaN6tLVntWrVFm7Wp1d27TYs12bE/uWsn+TJhtXKLJziw4rVmmyatFcbp7X5f6DtZy7rsv3t3Q5/Z02p47qcOvKYl48Xo+b43FMbPdgFrICs4T5vEr6CpP4rzDw0eTHF/O580YJg2BFjKJmYRKpwJtILWzDl/LWayUmFot5ckcFg5+0eHN7IV76a3B9sorbR5T49aAixpdUMbqswZ0TWvx6chH6V7QxuqaM0TV59C/P5uH5OehfnM/TC8rcP6vIo7PyPDszF+PLMzDQ/4bfbeT4yV6OH+3kuOcsh3WoBv4py/HN1MUtUx4nMdpGtEWIMTfSqJuvsM+cg2OmBt5F6wmtOUFs609k9BtQPOFEzT+DqP1nNJUfkymdSKNsPIuKiQKZs5qU9W6VTxZIbRBSK8R4PqVjeRSP5lI0KqAllEmJgNdYOsWjyRQMJ5AzEENm33vSusNJ6QwhpSOQtI4gMjoDyOryJ7fbj/weXwq6fchr8yCz3pWkUlsiM8zxjTbAMfARdv73cAl/iHvsYzwSn+Ce+BD3xEe4xz/iXawoKx/jGv1YmkDiFClaLZ7gIAZUBorNPMJ5PeGtz1PeiKWv7nrSsEALZz0snJ/9q4Tzcpa5sM/hZekmC+k/Xf3xkJ0syk4YBcBk8PofHddb94dYe4iL1c/wiDElONueuCovMjoiyOtPJG84jdzhDLJFB/pQBmlCgxmkTkncA0wS0xakBRRiZIwY1DetFGJ6hATEUojpFe9TiRbqTptShpRliTxLOC0BrQQJWgWkDwlolZIrlYWVFAqXNVlDyQehaoomKygYLyF3NF/6+2UMJpM2GEvqQASpg0GkDvmSMvyOpCE74gYsiOx7RnDXHfzar+PdegrP5gO8a96KW/Mq3JoX49qyALc2JdxbVXBvV8FjClxeAlr/v8AlT/CAJoG9ugRMw6tlLb4Nm/Gp24ZPzR58aw7hX3OCoJrzBNdcJrT6BuFVPxBR9Qvvq/4gruYhCbVPSKp9RnKNEck1L0mueUVStYkEr2mQxVe8lIAmoCaTAJyAmwlJ1aYklVniEWrE7w+v8N3F/Rw5uZlN25ZKl63vPb6Om5cpu/at4+SZXZw6t4NDR9dz8coeLl89wOkzu9ixcyVr12qzd9dKfr62h6e3j/HrmQ2c2KjB+kWKbF6uxuKFiizTnceNMzpYWm5Bz3QjFy9oc+ncEk4f15XG3fx0YwUGj9Zj8noPlqJrPlkek2Q5TBLleBU9n99tFLmiP487dvMxjJyNefxMbNPUcc1eiGfOcrzTV+MevRprl1UY6y3F8t4KXt9eyk0xpuaomBuvzIPjKvy6X507B7V4dkYD86savLymwKNLM7h7fib3z8zl9xNz+OOUPA/PzOPZ+TmY3pyDgfGX/GYrg9YtWzl+c5DDImg+fsnL8M9cjFuGMvYZX0mni7aZcthkfolNxkxs0+WxT12AW/Z6fEv3EVJziqjGmyR3PCJ/2JzSCRfKJn0o/xBKxYcYyidTKB1Lp2g0g0KhkQyKR0TwniWpeDSTotFMCqckwFUsQSuFwuEE8gajye6PIqM3nLTuEFI6A0nu8Ce1I5CMzmAyuwLJ6vYnu8eX3F5f8nu8KejyIrfZjbQqO6LzzPFPeM67sCc4BTzAOfAhbhGP8Yh7jGeSgJi48P+Yd5ILk00hcX0vRi49lkpHhxDhvJ5i6y/Wiz3FWmyq9tDHSizEEFNPnfX/FVxOf4FMgOsTvKS+rml4GWHt/lcHvY3nS4QEvD5//S3jEuCy8X6Ca6gxfsnWRBV7ktYYRl5vIkXDGRSN5VA4lkfuaO5nDZ05iI70tOFsUoeypUvLidJsq0xpCJ9s5pWYMirTp8/SyOQ0YnrSienJlKk7k5huMUI5W1pYIXYZJg8IaBV/glb+pICWAFWN5LQEtIonKqVQPnckn6zBLMkRpvXHktofSdpgCJnDAWSOeJEx6kLK8Fvi+1/yvu8BIV238Bd3DlsP4NG8Bbem1bg26eLSrIlLizqubUq8a1XhXbsK7h3KkuPymnZdogVCnCT2Kkv5lq90oihKRXmpTBSlonBckusaVCaoXwYvyXm1rcK/eeMUvHbiW3sA/9pjBNWeJqT2ImG1V4mouUlkzU9EVv9GTM19EuoekVSnR0qdIal1L0mtMyGl1pTkGlMJYDKIvSJRODHJjb2SnJkAlvg9qXVmUjBv6Xyfa7e+48CxzazfpMuipWqsWqfNrV+PExRuw5oNumzesYw9h9axY+9qfntwFUPTu9x7fIvdBzazdsNSzp7exZuXP+Jh+wcPLmzg8g5N9m/QZOdyJVZqy7NUXZ69K+bz/RktHjzcyOE9mlLZeO38Ui6e0+XKxSX89sMynj5ej6nXal4nqGCe+jUmyV9hlvg1z4MVuW4sz/mns3nsrYBZnPwUuHTwyV9MQNFygkvW4JWyFmO7lfz6yyJundTi+92qPD6uycNjc7lzYD6/7NHi190aPDyshsVlbV5eV+Hx1TncvzSLu2fmcPv4bO6fVeDpJXkMbszH5L4S+lbfcNtBjh/t5fjBRo5f7OQw9p2Fb9IyAjJX4JqmiXXyt1ilyPE2VWgG1mlzsUlTxD5NF+fMdXgWbyeg8gghVRekf8eE5rtkdBmSN/iaknFHKj76UPExlJLxSHKHoskeiJHKvryBRAqHBJiERDmYRv5wGgUjaRLgikdTJWjlDrwnqy+c9J5Q0nqCSekKILnTXwJXSrs/qZ0BpHUFkt4VQGa3HxndPmT1eJPf60NBtxe5ra6k19kSX2ROeJoRfu/1cQt4iIPXPZwCH+Ae/RTPeD08E4XE9JEn0kSSdzFPePf+Ca5iFpwYeBny9BO8bAS8PPV44y4mQehjIUL5z12Xkz4W/wYvUS6+dhV5l2hKFfcWp8AlwUs4Lxm4xPPz19/AZfPuMU7+BnjHWBKW40pSdTB5HYmUDGVRPi66eYsomSwmf7yAvPECqU8qayxPau5MHxHr63NIGcoheTCHxMFsEgayEAP6phXXl4lMGbLNOn1i1rtsUUVMTxZCsVObdgS0UgcLyRguIWu0jJyJCvI/VFL4oYoi4bAEsCYrKZqooHCslDwxBWIwk7S+ZFJ740kVFnoghIwhf7JGvckecyNj1JbUodfE9z/jfe8dwnquEth5Ap/WXXg2r8WteSFuzeq4NCvj3KqES5sari2quEngUsOjQ02ClygZvcSJohTOT2dcc/Hrn4v/wBwJXBK0huYRMDSPwKH5BA0qEtSvTmCPLgEdy/FvXYdfk4DXNnzr9uBfd4jgupOE1J0jvO4y4XU3CK/7gYiaX3hfc4f4ugck1j8huf45qfXGpNS+ksAl4PUXwMw+gUzASiil1ozUOnMyGiyJK3yNic0fXLpxgqMnt7J+8yKWrNBkzQZtzl3exf2n11i0XAOdpcosXq6GprYSazbo8OT5DXbsXcnCpRqsWqvD/ftnKc5xIibUkNtn16F3fQtv9I9w98Zmju1Zwq6V2mzUUGCZ8gyWasxio7iovUKRYzuU+f6CNj/cWMr1i4t4/GAt+larMIvQxTJNAfOUmZgnf4tZvDwPPJQ4pzebay/leRWpgG2qCq7ZC/DMW4hv4SICS5YRUrwO94QtPDVew6m9KtzcpsDTw7Mw+G4GT04oce/wAn7fr8OTY1pYXF7Ay2vKPL06lydX5vDwwlzunp/Ps2vKvPxRDePf1DA0UEPPaR6/u8lKRQGun2zleO45B6/4ZQRmrMY1VYfXceLvKIdl4te8TZ6FTepsHDKVcMrRwSlnOe5Fm/At309Q5SlCKq/wvvZXEhrvk9yqT3qXMXkDrykdd6Js0oOCUS9yBv3I7gsmpzeK3N5Y8vriyBtIIGcwSVL+UBIFQ8kUDiWSNxBNluSygmSw6vInqdOPpE5fmdp9SewQ7/1I6fQjvcOP9E4fMjq9yerxIqvHg6wuV7LaHEhvsCap1IKY7FeEJDzHO1QPR+8HOPg8xDXsKZ5xIud+gpcYjyTGJomRSrEi2Bd3mPWlqboOIU+xEwtZppyX5LoEvMQoGwle+pg7/aumgfYvzmsKXuKkUQKYhzHWn+l/BJeDtwEe4a8JTncmriyQzJY4SvozqBgvlK4jVPxZQdnHcunkrmCymLyJInLGC8kayydjNJ+0kTxSh/NIGcolaQpcAl6S+sVwPpmkFWB92cRNq1fmsKbXgglopQwWkD4snFYZOePlSE7rQ5VUIoowXoTyhSLrGikhd6iAzIEs0nrFAo1YUnqjSOsLJXMwkLwRf/LHPMkZdSBzxIrUIRMSBx8T0/cTET3nCek6gr/ohm9dg3vLQt61aEqwEo7LpUUTt1Y13rWr4d4xDS51mfPqVsGrWxHvHsWpE0WFT25r2mkFDs4mcGgeQZLmEzztvERY375yCl6b8W3YTkDDfoLrjxFaf5rwhguEN1wlvP57Iup+4n3tbeLq7pPU8JjkxmekNRqRVv+KtHpT0urNJAlHJQCVWifclYn0TG8wJaPRjMwGC7KbrYgvfo2J7R9cuHGcIye3sH7bMhav1GHtBl1OndrMxu1L0FqojoaOMsrqc1BQnIWYirp5yyLWrNdi1RotNLTmsXalMoa/byHa/zp3Lq7j51NrcTU7zf1bW9m+TZfNy5TZpK3AKvW5qM/7Fl21eaxbrMCBFXM4v12eWxcWcuPmMkxND2DtcBQLn21YxCzDMkUHy1QlLFJVeBmjyB2neZx6NIeHrspYJ6jhkqWFR542PoULCShZTEj5CoJytmFit4kTB9U5snIGP27/hseHv+Xpkfk8PKzNo2PLML28FPPrWuhflefh1Tk8ujKXe5fmcO+iPC++V8X0tjqvHqtjaq3Ky4DZPPaV41dHOX54K8eP1nI8dpuFW8wygjLW4p66FItoeV5Fy/E6/lveJn+LQ4Y87/I0cCvQwSl3Ec55q/As2YVf+QmCKi4SVvkjMfV/kND8hITmpyS16pHW+YKcfjMKR99SOuFE+YQHxUO+5HT5k9EmcqowMnsjyeiLIrNPlIWx5PQLaIWR1hVAUocP8R3exHV4SYrv8CKhw5OETm/iO71J6PAmqd2L1DZPUts8SG17R1rnO9K63EjtdCG13ZG0FjvS661JrbAiscCc92kmBMca4xPxAlexkDX4Ee+i9PCKf4Z34jO8E/TxjNfHPU4ft5hnuLwXF7yfYR+ij12gHrZ+erz11sNKLH0VU08/gUvvX+A1DS4LJ5F7ibJRhPVTzsvVkDduRrx5J9Pbd8ZYu/8vjss9woygJEfeF/iRVhdNQXc6FSMF1HysoOafNVT9s46y/6ih6GMlBZPl5E0IqJSSPVZMxmgBaSP5n8CVPJRD0pDMeSUO5P7LantpW7Q0z13MdBfLKf6SGJ0sg1YR2VKmVUGeKA+lVgdxiigcVhkFohViaiFGZm8Wad1JpHTGkNIVTmpPMJn9/uQM+VIw4knBqAt5o9bkjFqQOWpIytB94vp/4H3vOcJ7jhDctRv/jg14iRPEVgGvBbg1C4Bp8q5VQEtjym2p4yW1RIh2CBXpYrWsVBTBvAL+U6eJn4NLBq15BA3PlQAWPKBCUJ+uFNYHiJKxZT1+TZvxb9hFUMMhQhtPENZ4lvDGS0Q0XiOi/gfe1/9CbP0d6X/tlCY9UptekN5oTHqDiQSm9AYz0hvMZao3I12owYzMRnOymi3IabEkr+2NlHGZ2P3BuWvHOSzAtWMFi1fpSssxdu1ayuLlGmgt1EBFQxEl1XkoqcxDRX3O1FUgVbZu0mbrZh2WLVbk/rXVvLM6wLVD2tw8qM6Tqzpc3afFlrWa7Fq3gIMrlTiwdA6btOegOe9b1urOY/uiWRxfOZMrO5V5/NtmrG1P8+LVXm4/Wsuvz1fyzGUj5lEbsExagnmiMgZhs/jFZhZ3HeR5E6uMS+Y0uHTwL1lIcPlygnO3YeG4jTNHdTi4ag6Xdszh9n4F7uxR4c4eLe4f1sL4rBYvLsznycW5PLmqwOOr8jy4PI/Hl+ZheF2Zl7+pYWqqzptgJan0M4yW456XLOcS8Lrr9DUOkYsJTFuPR8pyLKNVeBU1C4vY2VinzMQ5WxH3QnXcS7RwKtDELmcRLvmb8S49REDFWUIqbkj/+QhwJbU8m5I+yW3Pyeg0Iq/PhOJhS8pGbSkddqSgz4n8fndy+n1I6/YjuTNQyrBSpHLQl6R2T+Lb3xHb7k6s9BTvZYrrcEdSuxsJba4ktAq5kNjqTGK7C0kd4ulEQpsD8a22JDbZkFxvTUr1W5LLLEkosiQmx4LQlFf4xBjiHm6Aa8gzXEOf4RH1Aq/YF3jGGeAh4BWrh3OUHo7hejiG6GEfqIeNr54U1ItNPtNZl3BcZo56nyQ5MMdnWDgZSHrt/IJpWbq8wNLFECtXI964GfPmnTECXp+//lYq+ifZEJnrQXJVODntyZQO5lE1IWYFVVHzn7VU/rOe0j9rKfpYTcGHKvImKqSwPHuslMyxYtJHiyR4pQznkTycK9NQPkmDfylxIB+hhIG8v9QvFlOI5at5JA/mkzZcROboXy0PBROVUp9WwfgUsIaLyRkoIKs3l4zuLFI7kklujyOlI4r0rlCy+gLIHfSlYNiDwtF3FI45UzD2lvxxc3LHXpAxfJ+kgR+J7btAVO9xwnsOENS1Hb/2tXi3yeDl3rqAd+JEsU1DkmeHBkICXLJ2iM+u+Uj51r+BSyoRhdua/68aVCa4X4egriUEdqzAv20Vfs0b8G/aQmDjHkKbjhDW+B3hTeeJaLpCZOMNoupvEVN/m/iGuyQ3PSGt+TmZzYZkNpmS2WROZpPFlF6T1TQtC7JbLMhpfU1+uxWFnW9Jq3qLueN9Tl06woGjG9myayXLVi9k8XItKefSXqyOmpYSiqryErjEHUTdRUqsW6fBrp2L2bVtIQd2L+bE4aXcOL0EvbsHOLRJVbrQ/PshBa7vUOToVhX2rNNii448exbN4eg6RbTnfs0qzTlsXTKX3YtmcHLFbH44rIGRwX4Mjffx5Pku/ni8jYcvdnPPbBN6bkt4FbEAk1hFnofOxiBoFjaJSrhkauCRp4V3kTb+pTqS4wrO2Y6lw1YuH9fm8lYFbh+ex9OTijw+rMbdvercP6CB/jFVnn2ngOElRQlUelfleXRxLvoX52B4RYEXvytiYqOMbdJsacqDRZocz8NlnfM/2sjxq50cb0O08E8RudpK3kRr8DJiHubRc7BOlsc5R5l3RUq4lc3HsUgJ21xtHHJW4160C/+Kk4RUXSaq9mcSmh+Q3CaA9Yzk1uektj4nrdWAjLYXZHcZkd/3iqJBM0qHX1MxYUfZpCv5I+9I7XYjrt2V2FYX4ppdiG12JrbVmfg2N+LbZN/HtDkT2+5CbLsrcR2uxLY7E93qwPsWO9432xHdbE9Mq8MnRbfYE91iQ2yLHfFN9iQ2OJDc4EBavQNpNXYklb2VAvyQ1Ff4x77EJ+IVHqEvcQs2wi3kBe+iDHgX8xy36Ge4iKUsYotUsB62/npY+8iCekuxDFbcV/w3cEkQc9DH3PH5J3j9O8T+BV5u/wu4QrNciRclYlMcRb1ZVI6VSI1x1f+oltxW+T/qKJHAVSOBS5Rv4pRPgCtrrITM0WLSRwplzku4r5FCSSnDhaQMFZI8VEDSoEyJgzKATYNMbIuWmkuHC6U/J2tMnCCKXi1Zg2m+lGMVkztYRHZfPuld2aR2ZJDalkpqWwJp7dFkdEWR0xtC3kAABUNeFA67UjTqTPG4I8UTbykcNyV/7AXZIw9JHfyFxP4rxPadIbL3KGE9ewjq2joFryV4tmnh0aYhyb1NDc8ONZnb6tD6BC7hunx75+PXNx9/4bikYF7xUygvKxPnEzydcUkQUyVkYAEhPUsI6lom9Xf5t66RwvrApl2ENB8krOkE4U2niWi+SFTTNaIabhItXFfD7yQ1PSC1WZ/MlhdkNZuQ3WxOjgBUiyU5LVbSM7fVktw2S/LaLcnvsKSo8w3F3TbkNNph4/WIY2f3cuDIenbtW8PKtYvQXarJkpVa6CxWR1VTAWX1eSiriYkQ8mxYp8vqlaqsXKHCpg1aHNi1kNNHlnHu5FLu3zvL8b3LOLZmLscWfsu5VbO4cVSNvRtU2bxMja2LFTm5RY01mrNZqTyLLYvnsnvZbA4unsG5dTO5flyDRw82YPRyP0/1d/LC+CD3n+7mpyfL0XNbgFmsIq/iv8IsfiZ2qUq4Zk2Da4EEruCylQSm78TMajNXj2ry8x559I/PxOL8PAxPKvHHHhV+26nGgwMqGJ5W5fVVDUxvqGJwTZ7nl+djdE0Bo+8VMXioiImrEnZZX2BfLIdNvhwWyXI8D/6COy5y/GQjh1mAGr5JK/FNXYFNrCbGYXMxiZyHdbIiTrlKuBYr4Fz2NQ4lc7HL18IueyluBVvwrzhCWO0l3jf8SFLrXVI7HpPe+ZyMDgMy2qfU9oKM9hdkdb4gt+cFBf1GlI6YUj75hvKPdhSO2ZHeb0tihzUxzdZENdpKIIprcSau1YmYFgEoe6LbHIhpcyKmzZHoVnuiWqyJaLIivNGK8Ka3RDbbENVsNyUbolrEZyF7YpocSWh2IaXFlfQWF9KbnEiptSW+1IqYXCsiUiwJjDHHK8QMV/9XuAYZ4SYWC0e+wC3SAJeIZ59cl62vnhTUW4m+LrEU9nNwOehhJkkfM4dnErwEwKYh9pfzMvzkvIT7+vz1N8cVWeRDam0UeZ2plA3lUzVZTpWA1j9qqfhHPWX/UUfxx1oKP34GrolycsbLEKAR7QrCKWUIgI0WkS49xfti0kaKSB0W8JJJACxxoFDaFC3gJaCVOlgwBa0ScsZLyBsXnfEl5InereFCaU9iZk8uaZ1ZpLSmkdyaLEErvT2G7K4o8nojKegPomDAl8Ihd4pGnCkec6B0wo7SybeUTJhSOPaCvNEnZA3fJXXwBxL7LxPTd4rI3oOE9eydgtcqvNt08WrTmAKYLJSXysTPwOUj8q1/AZciAYPKBA7K4DVdJgYPK8jKxGEFgoeVCBnUIHS26pV0AAAgAElEQVRAh+CeJQR2LiOgfRUBLRsIbN5BSMsBQpuPEN58ksjmc0Q1X+J90zWiG24R23CbhMa7pDY/IavVgOxWI3JaTchrsyC/zYq89jfkd1hJKuh8Q2GXFUXdVpT2vKWsz56iTnvcI55x7NxOjp/awL5D61i1TpeFy9RZtkpHApeGznw0tOehoTWXRQvns2GtFkuXqLBsmSob12uxd4cue7ct4PHD/URG2/Pw99NS86nm11+wQ+Ervj+9kA0r5nNwxxL2b9Zlz0oljmxWZ4PSt2xdMJODa+TZt2wGxxd/wcXNs7h3azkGejt49HALr0wPYGJ2nFu/rOY34wUYh6piEj8Ts8QZ2KYr4pqtgWeeBj5FCwgsWUhI0Tp83u/n+bPNXNirzo3ts3hw4EuMT3zL04Nz+XHrfG5tVuWP/WqYXNTm9dUFGF9S4vnF+by6roHZL1q8vK2OkaEyFgGK2ItO+BI57ErksMmTwyxRjsf+X/Cr/Ve89FPFO3ElAWmrsIvVxDB4Di8jFLBOUcExTwWnklk4lMrhUPoN9oWq2OcuxrVgA/4VB4msv0hs8y1SOu6R1f2UnN7n5HS/kJTdZUh2p9ALcrqm1G1AXu8LCgaMKRk1pfyDJeUf31A0/pbUHiuimiyIarQipsmOmGZb3je/JbLpDVHNb4luEWASkBLAsiCs3ozQenNCGy0Ja3xDhAQw8evWksKbbBGS4NXqTELbO5La3EhudSG5yZHkOluSqt4SX/SG6EwrwsS2r+jX+IZZ4h5kjluQCW5hL3ENN8Qp7DkOwfrY++thI3q7PJ/y2lWAa6pMFMCy18N0Smb2/9/wEu5rGmDiKdzX56+/gSu2IoCM5hiK+jKoGCuW3FbFn9WUf6yl9E/htmTgKvhQTf6kKBUryZ2oIGdCuK6yKeclysZSMsZK/qa0kWJSh4tJGS6SACbglTyl1CERxosSsVjKzHLGi8gdKyZHnBaK8L0/l3RRFrank9KaSkpLIqmtMWR0RJMjlgr0hlHQF0hBny+F/V4UDblRMupM2YQ9FR/sKP9gTemkGcUTRhSM6ZMz+oTM4d9IHviB+P5LvO/7jsjeQ5LzCuzciF/Hcnzap+DVqYxX53y8OpXx7hQ5179NhOhTkhxXwIAAl6wNIkg0n34K5j8L6IcVCB1WIkzAq1+H4O4lBHWsIKhtHUEtWwlp2UtoyyHCWo4T0XKaqOaLRDdfI7rxB2Iafiah8XdSmh+S1fac3HZj8jpMKOiwoLDTisIuawq73lLULfSGkl5rSvusqeizoXLAlvI+BwKTDTl5dTfnL29m/6FVrN+0kGUrtVi5ZhG6ixegrjUfnUVKLF+pyvp16uzeocuKlWosXKzCurVqHNinzeULqwkPu0dVdRSPHp5l0wZ15L/+ktVzv+XU2aWsWK7C/r0r2LZeg+1LlDm8SYWNyt+wVf1r9q+dy4md8zi+5BvOr/uKX0+qcvvaMm5eW8H9Jzt49HQvV84u5dQFJW6bq/EqWhPzpFnYpMvjmq2CZ56aDFxFywnL2ouj8wFuX1vDqS2qnN8wkx+2fskvW+W4tXEG329Q4qdtWjw6ro3p1UUYndPkwRFl7h0VDaoLMP9RG5M/NDB9o8bbGAUci+WwK5XDtlQOu2I5rHO+5GWMmBLxNS/9VPBMWC3lXA4xOhgEzMA0Uhm7dHWcCufjUCKDnlO5HI7FSjgW6uJWtA7/yn1E1p8lruUmaV1/kNuvR8GgIYUDxhT0G5PfNy1RKhpKbks4rvw+2ef8AUMKh4wpHTeh4k8LSv98TfawOSndZsS3WhHVYEZEvQkRDWZECqA1vSa80ZyQBhOC6owJrjUipO4VwfXmhNS/JqzBivAGa8IbbIhotJWe4Y02RDTZ8b7FUSpB41pESepEbIM9MXXWxNa8Ib7iLQkl1iTk2xCbZU10qjWRCQ6ExjjjF2mPR/gbXMNNcQo1xCHoGXYiqPd6iqXbUyzEBWzHJ5g6PJVBy1YfExt9TG2fYzoFL+G+ph3YdNk4/RTw+vz1N3DF14SQ2RZHQV+2NEG0dLKc0o81lH4U0Kqn+GMdRR9qKJisJX+imtxpcI1XkDNeQfZYOdnCfY2XkvlvEiBLHy0hbVjAq2gKXgWkDBWQOiygVUDGSCFZoyKULyBb9GQN5ZLZn0OGCN87M0hpTyWpJYnk5jiSm6NJa40iqz2SnI4w8jqDyOvyo6DXk+JBD8pG3lEx7kLVpBNVk3ZUTtpQPmlFyYQJxeNG5I0+J2f0IRlDMnjF9V3kfe93RPQcIqx7J0FdG6WZWj7t2niL9ofP4dWlKd1ZlKae9ooyUXbVJ0CUigPTvVsycE2fKopyUTgvoZARGbxCB9QI6dUmqHMpgW2rCGzdRHCLcF37CW05QnjLcSKbz/K+5RLRzd8T1/wjCc2/ktpyn6z2Z+R1GFPQaUJRlznF3VaU9NpIKu2zoazfWlL5gAxaVUM21Aw7kFBmzs37h9l7UHTKr2XbzqWsXreAdZsWs2i5Opo6CujoyLNsiRLrVquyd8cC1m1cgJrWPGk885nvVnDh3Cpiok2Ji3Pj19+PsHGTForffoPizC/Zd3ohy1Yos2m5KnuWC5iosX+FEpt150h7Dg+sV+DUQXWObZ/N2fVfcXXHXGkMzvc31vLg2R4uX1/GtnXybFozl6Pn1fndegHmsQpYp87DOWse7nlK+BTqEFy0jtDks7x+eZQbRxdzavN8zq77lrPLv+Tyym+4tnY2NzYp8cteDfTPaUugenRCmV92z+OnXfN4eEyeFxcUMLmripWLOnYpcz65LfsyOewFwIrkeJP1BUaRMzAPXYBH4hoC0tfhGKeLYcBsXseoYp+timPxt5JLE9ATrsuxdCaOReq4lSwnoHoXkY1niG25Rnr37+QP6VEyakTp6CtKhl9R/EnGFA0ZUTRkTNHgy08SgBMS35eMvqR0woSyDxaUf3xLyQcbMvvNiG56TkStARF1L4moe0VIzUuCaowJrDGSwBUqAFb3kpA6U0LrLAive0NEvRXh9ZaE1b2WFN5gRWTzW8l5vW+0J6relsg6ayJq3xBa9ZrwcguiyqyILbMhqcyO5FJ7kgodiM9xJDbLlfeZnkSkexKY6IZfnAuekdY4B5lj422MpZsBZk76mNg/4ZXdY17ZCj3FRJIepnb6MoDZP8Pc4blM/1Y+/o/gSqyPILMtibzebAqGCykaL6f4g2j0rKP4QwNFH+oomKwhf7KWPAlcVeSMV0rQEhAT8BKtC9nCgU2WkzVRJklATHJgoyWkj5Qgc16FiOxLQEucRgpoZY4WkDmST+ZwrrR9Oq03i9SuDFI60khqSyaxJZ6k5lhSWqJIbY0goy2czNYQstsCyGv3oaDLh5IBb8qHvakc86Bqwo2qCWeqJh2m4GVN2aTlVMloRP7oE3KG75M+dJukgevE9Z8nuvcEkb0HCO3ZQWDnOvw6FuPTISZCTF+wFtd+VKdOFRXx65P1b/mJ/q2BOQR+Bq5g4bhEmTgFrGlwBQ/PlVxX6KAyIf2aBPXoEtixnMC2dQS2biG4ZbdUMoa1HiOi5RRRLReIab1OXOsPJLT8QkrrXTI7npLXaUhhtwklPeaU9FhR0idgZYOAVcWgraTKYVuqRuyoHrWjbsyRwvY3vPH6ge8uruX46dXs2reEtZsWsGq9LrrLVKX9isuWKkruas9OHS6eWcnSFeKy9RxpjMwPV9dw+9ctBAQac+P741z+fisrV6sgP/NrZs/6kn1nFrFuszp792mzY7k8F1bO5dQaRfatVODIBgXOH9Nh1w4FTp3Q4MiGbzi98WuunVDjof42nlvv5q7hZg4cU2fvzgWcObWWK3cXYxamg3POAt7lq+FRoIx3gQ5BBesITDiPueFxfvpuKRe3K3Jq1QwOaMpxXPcbbqyfz90D6jw7o4PhVS30Lyrx4DsF/hD3HI+IJRpzMLg4F5Onarz11ZSGBIoy8ZOE6xJlY6EclslzsI5ZjFfyGvwzV+KSuADzMHmsE9VwzJ8r/Yzk0srkcCiTw7HsCxyKFXApXohf1Vaimk4S33aNzN7fKBp5StmEMRUTJpSPm0oqGzNBqHTUVMq2RL41rZJhE4qHXlE0bCxBrmTkJaVjryibFA7sNWUfzMkfNiGzz5jkTiMi6vQJqtQnoPI5QdUvCK4xJLTOkJDaF4TUGRNSa0JYrRkRtWaE15gSXmNCWPUrwsT39eaE1VsSXv+WsLo3hNVYElplQVCVBcFVVoRWviWyypbYagcSqx1JqXKS7kCmVbwjvdKXjOoQMiqjSSuLJj4/nMiMAIISvfGL9cAz0gXnQBusPc0xdzbCxOE5r+z0MRHua0qmts8ws3uOmb3MfU07MJF/ff76m+NKbnxPVkcKeX3Z5A8VUTAmerZEs6dwWvUUTtZTMFlH3mQtuRM1UxLOS6hKcmA5AmCTFZIEvHImysieKJM5MHH6OFpK+shU5jUV5KdPgStjJI/0oRzSB7JI7UknWYxrbkskoTWehJZYEprfk9wSSWprOBltoWS0BpHZ4k92izd57Z4U9XhTPuRD5agXVePT4HKhenIKXh9sqfjwdgpeJhSOGUh5V/bIH6QN/kTigCysf993lIjevYR0byGwczW+f4OXEt7divj0yOP7P4FrUPEzlzXn03sBrhABr6H5hAyqEdSnTVDXYgLbVxHUtomg1h2EtO4lrPUwEa3fEdV6npi2K8S1fU9i68+ktP5OZsdj8rtfUNz7itI+c8r630jAqhy0pWrIjqphe6pG7KkZc6B23I7acQfqJxypFleeil7ww72tnL+yihNnl7Nj/xI2bhftEGosXqbESuGQNqpxYI8Oxw4uZMMGNdavU5U+XzqzQlrU+t2pbWzftYqT59ewZIkCWkrfoDb/K/afXcSewws5dXkVBw9qsEfjGy6tm89OndkcWTmP00e0OHZSiwP7NTi8R4xa/oYrhxRxcj9FbusTEqp+wczjMD/d3sbVC9s5dXExVkEbiKzdSmTDOoKrlhBYtoTgotX4xB/B3PQAv51fwaVtyhxdPIPtyl+wT+Nrrq5T4ukxHUyv6GJwWY17xxX4/ehc7p+cg975uRhcUuDFTUXMXmliE6qBQ95smeMS5aLQVNZlVySHbdZsHJJ08UlbTWDWKtxTtbGOVcQhTR3notmSy7Irk0PIUZSKZV/gWDwP5yItfCo3EtV8lOTOq+QO/EbJ2FMqPxpT9dGU6o/mVH14TdXkayonLaiYMKNi3FxS+bg55WNmkiSIjb6idMQEAbKSEeG+jGQAEwCcNKH8wytKJl6S3vOcyPpHhFY/JqRaj5Dq54RU6xNUrUdQtQxmIdXGhFW/JLTKkNBKA0IqDQitekFIjTEh1S8JrjaVqcqE4EoTgqrNCap5Q0iNLeF1DkTWOxFd60xcjTNJdc6kNbwju9mPgvZwSrsSKe9Mp7Q1g8LGdHJq08isTCOtLJn4glgi0sPwj/PFI9wN50AH7H3fYu35Gis3U147v8LcyRgzxxeYOxlMBffChT37nFt/n4Ca2vyenK4UCvpzKBiWgatgQjR91krQKvzQQMFkPXkSvATAplVL3mSNzIVNVpE7WUXOhwpyPsjAJWVg42VS9iVOHzOmwJU2Da7hPNKHc0kTa8P600nuSSGxM4G4thhiW6KIbYkkvjmCpJYw0gSw2oLJaA0go8WPrGZxhcGTgg5PSvq8KR/0pnLEk6oxD6rH31E97kb1pCvVH5yp+mBH1QcbKj+8oXTSnOKJlxSMi5LxEVnDdz6F9bF9p4jqE2H9ToK7NhLQsUq2wadDHR+Rc0mOSxHvbgV8e+dNwUucKk65rkF5ggW0BhUJkUrEuYSMziZkZI4MWCMzCBn+RnofMqRK8MCCKde1gsD2DQS2biW4bRdhbYeIbPuOqLbzxLZdIb7tBkltP5LafpvMzofk9zyjuN+YsgEzKgatqBbl4Ig9taMO1Iw6UjvmSN2EI/WTDtRP2sueY44Ud7zh2ZsT3HmwhT+e7ObM1fXsPrCcDVsWsHKNGuvWK7NrhzqH9mlyZJ82R/ct5OyJJZw4sgRxyVpdfR7y8jM5cWYbuw8tZdnCuazXnsnaxXPY/d1C9h9Zzratalz4YTUrNGdyYuEs9unM4tCiOZzarsTPd1ezfZsip85pc1yUivvmYWy0ie5/vqb9v4ypGH6GrcdFLl/YwpFjOtgG7CSz4zi5A4dJ6dhOdMN6wipXE5i+BzuHg/xxZT3frVdlp8aXbJ4vx06Vrzm9TIE7e7UwOKfFkzNK/LZXnl/2zuLe8VkStIzFaeLPKlhYaWIXrYJ9wTcSsER5KIFrGmDFYs7WNzinq+KXtZLgnHV4Z+jilKyKS7YmziWzcJxyWqLEFOASOZdTyVyci7XwLF9LRPMBUrsvkz94m/KJp9T8x0tq/2FG3T8sqf0PS2r+fE3NnxYSyKo/mlH1wYzKSSELKiWYmVIh3NmYGWWSKxMAE2WmcGGi7DSiYtyYysmXlH14Sc7gM1K79IhreUpE7UOCyu/hX3YPv/KHBJQ/JahCX6ayJwSXiV9/REjlU0KqDQiqNCCw0oiACiFjgipfEVhlQlDta0JrbQhvcCKi0Y2IhndE1LkQWetEXIMLKa0e5HUHUDb4nuqhJGoH06gbyKaur4Da3lKqu8oobyumqDGfnJoc0sszSCpJJjYvjsjMSEKSgvGLEUB7h3OQHU4B1tj7WvLW/ZUU1H9Orr85rtSW9+R2p1I0mEfhiJgmKloRKimckIFLQEso/8O/w0tWOkrwmqyWwJU7WSmDlygbp3IvWc415bZG80kZySNtJJc0seNQ2jCdSmJ3IvEdMcS2RhLdHEp0UzBxzSEktoSS2hZCemsgGS3+ZDb7ktXsKYNWuxfFXd6U9HhT2u9FxZAXVaMCXO7UTLhTPSHgJfIue6ombamcfEv5BytKJ02nwno9Ke8S8EoZvEl8/wWi+44T2beP0J6tBHWuk6aZ+nZo4duhik+HOt4CYFPg8usTI2xmSqWiVC6KjnkRzguADc1DclgCWiLbGplD6MiMKc0hdEiZ4AHhumRNqYEda2Wuq20nYW37iWw7wfv2M8R1XCah4zrJHTdJa/+VjM575PfoUzxgSPmQGZXDVtSM2FIrOSwH6ibsqReatKfhgwMNH8TTnoYJO6oHbInONcbV/waB7x9gaHWWgyeXsWufLmvXabBzpybHj+ly5oQuNy8u5v6PK7l6eiF7d2uho6PEjBlfM2fOt5w8v4r1mzVZLK716M5i5051dhzUZYmOPCtUZ7NzxwIOH17Ipvlfs0H5aw4snMPVIxr89ng15y4t5tixBRw/qMTJbTP4+YIaebUP6fhvU+r/YcRrpxOcPrKS3Tu0MXPbQUHPRcpGz5Lff4i09h1EN2wkIu8gnu4nefjDNvaIkdPzv2CDghy71b/hxGKRcSny4KgGeudUuH90Pr8fmcXD07MxvKaE0U0lXvymhKWDBnaJSghnJYD1L+CaKh3F9h7XXGX885cTUrAW3+xFuGWo4pangXPpl1J5KKAlHJfDNLhKZ+JcooFH+WrCm/aR1HmenP6fKRt/TM1/GFP/T3Pq/2lF/T8tJdX94zV1/7Cg5k8zBLyEG5M5MnMZxCbMqJyYBpgJZdMObOQlxSIbG3xByfALysYMqJgwpGLSiNKJF2T1PZA6932KbuBT9CO+RXfwK76LX/EdAopuE1h8m6Cy3wmueEBIpT7BFc8IrHiBf7khfmWG+Jcb4y8AVm1GSO0bwusdiGhwJaLxHVFNHkQ2uEsAi6pzIq7JmfTOd+T1elPUH0T5YBS1I8k0jObQPF5C82gpDYNl1PSWUtFVQllHESVtRRQ1F1LYWEB+XS7ZlRmklSaSkB9DdFY4IUl+eEY4fc6t/2/HJcBVPJRPsRiHLIb0ias1AlwT06WiDF7TEJM968ifEIF9jcx5SfCSlYyfTh0nyqScK220mFSpxyuPlBFxMVtsmE4jsTeJhO444tqjiG4JJ6oxhKj6IGIaAkloDiK1NZj0tgAyW33IavEiq8mD3FYPCjq8KOr0plio24vSPi/JdVWNeFMz5kndhCe1kwJgrlLJWC3lXVPwmrSUwWtcnDTqkTvygMyhX0keuE58/3li+o4T0bOX0O6tUsno37kYvw5t/Lo0JYD5divh1yOPX+9s/Hu/JaB/JtI1HwlcAl6z/2qDGJGF8lKJ+AlcspA+RGpK1ZTKReHuAtvXE9y+jbCOvUS2HyO6/TRxHedJ7LxKStdN0jt/IbPrd/J6H1My+ILKEVOqRy2pGbOmbtxOclYNHxxp/OhAowQtRxo+OCO+axi3o2boDaVddkRk6FHa4EBqngU//rGTnbs02LN7Adu3anD4gA4Xzy3n1rWl3Dy/hNu31mJgeIGzFw/yzYyvmDX3Ky5+v5HVq5RZvmA225bN5fCZxaxeK88ytRksmfs1y5bM5+ydTSjM/4ZV2rO4fEqL3/9YzQ+/L+eHh0vZuXMeR09pcPLgPK4cmsOrN9uo6HtK/chLTMz3cny3Kvt3qXPPYC15nTeoHLtKYd8pMtoPEV+3j7jcM/i4nOHh9c3sXjGfVQpfsH7+F+zW/Jrji2dydf1c7h5WweiKBkaXVXh2cT7Pryrx6qYqhjeVML6vzFsPdezT535yWbaflYki75K1OIg9iYr4l6wgpGgt/rmLeZelgqvUBiHLtQS0pnMuqVws/RKnEjU8K1YR1ribxI4zZPb+QPHIPar/NKDhP81p+i8rmv7bksb/ek3j/3lNw39aUP9PC2r/YU7Nf5h9BjEBMlOqPphSOSngJcvHpGxsOuSXQn0jSgYNKR0ypGz4BeVjzykf1ydn4AHvG2/hX34Vj6KruOffwFNslsq7gX/B9wQW/0hw+W0JXsEVjyRX5lv6FO8SPbxL9PEte45/hdEUvN5K8AqX4OVBZKPnlNyJbHAhqsGe6Ka3xDZZkdj8lpQWe7LaXSno8aVkIJSKkXhqxjKpHSuiZqyU6pESaobKqB4op6KnjNKOQgpbs8hrTCe7NoW08hhi8wL/F3A1RX1yXNPgKpQcVw0F43USvIqmXNd02TgNsPwJGbxkrqtGVi5KrRKywF6cNArHJevnEncas0kZzCC5P5VEMYCwK4aYtnCiWoKJbAwgosGP9/W+xDf6kdziT1qrPxmt3mS2eJDd7C5BK7/di8JOIU+Kurwo6vakpNeL8n5vKoe8qR7xpm7ci/pJT+om3amddKNmUmReIqy3pfKDcF5/watQhPUj90gf+lmCV1yfCOuPSvAK6d5EYOcqaQmGX+cCCV5+Xar49ShK8PLvnS2BK2Bgxl/wGpr1qSVCOk0UrRD/7rjEd8KVDahIo29kfV1rCGrfRFj7LqLaDxPdcZK4jnMkdl0mtet7Mrp/Jqv7D/J6H1E89JyK0VfUjFtSN/GW+kk7CVhNf7rQ9NGFxkln6sadqZtwpX7ChbpRe6oGLCnpteRd9B2S819RUe9EWLwBx88sZY/Ino7qsG+/NvsP6LJnlxrnTy3G4Ole4uJNMLf6HQ3t+azepMaWXdqsWDKPzasU2bVegZNXl7FmpQJrNb5mufxXLF00j8v6Wzh0XZcLt8S2axVWas5mtfZsThzX4sJNHY6d0OC7o6oc3zmD6xfU8Hl/keLmFzjYHuLxFR0eXNbm1+tapJdfJ7/tBul1F0gsOUtS/mXi47/H3fIkDy6s4qTI0bRnslHlC3ZpfsWp5bO5tU2eh8flMb6kiMl1eQyvzcXg2nxefq+C0U1VLPTVsQ/UkGbIT/dvfcq2pt2WOCksk8O1TB7/suXSxW4BLrcsFVzylHASWdgUtGxEoD/lvCToFc3HrXQRwfVbiWs/SXr3dQqG7lD5UZ+G/zSl+b8tafl/LGn+v5Y0/fdrCWAN/+c19f8p3Jg5df8wo/Y/TKn5U8jkM3hNlZIi3xJB/ZT7Kh16RfGgEcUDxhT3G1EyYEDp0DNKRvTJH3pAZt8fRDX+gG/JRbwKzuOZcxrf3LP4F1wksPg6ASU/4VfyC74ld/Aq/gOPoru4F93Hq/gRPqX6f8GrRoT39oTXO8vcl4BYgxvh9ULOhNXaEFJlRnCFsZSfhVcb8L7OmPgmU1La3pLe6UKWmFLR6y/Nyy8ciKNkKE0a5lA0kE5ubwK53QnkdsaT2RJFSt3/Aq6UxkhyOpMpHMileEQsnyijYKyC/PEqCsaF65LBq2Cygb/AJU4aZYG9gJYU2k9WkzNRJU10yBanjOPCbYkSUZwi5knjb2TQSiGhN55YsWCjLYyIpgDCG3wIr/ciqt6TmAYvEpu8SGvxJqPFi4wWD7Ja3MlpcSe/3YPCDhm4JGh1eVA8Ba7SPm8qBn2oGvGhdtybhkkvGj54Uf/Bg9oP76iRMi97qj9Mw+v1VJuEAQWjTxBhffrgzyT1X5M666N6jxLeI1okNhDQuQL/Th0keHWryMDVOw//vllT5eIMpuH1Vx/XLIKHZskyLRHMS/ASEBOOS0HKwWQhvS6BXUukbvrAtvWEtG8nsuMAMZ0niO86S1L3RVJ7xOnUj2T33iG/7wHFQ8+oHHtJ7YQl9ZNvafxgS9NHZ5r/dKNx0o26MReqR1yoGXGldtSVmiF7KnotKeoxwTHsZ57qHcLP+1dyiq1543yTs1fX8Or1Baxsv+f6rd0cObYEE+OTZKS+oLHBh5CQl6zfqM3RsyvR1JrNqmUKbFuvxOY1czn3wwrWL5fnwDpFdq2ez6YtKhw8v5jt+5S48OsqlurORfXrL9Ce8SUrNWdy8cfFHBbQEjowj4v7FLj7eB2B0bewMdvD86s6PL2gxu3vVLG13YGV006MLTdharGJ12bbsDDcicHPG7h9TIfLW1U5vU6Z3QtncnDxt1zbPJd7h+fz5DsFnp2ei8HFmehd+ha9S3MxuKKIwTUlrAzUcQpTlG3omQKUaIMQbQ1C045LlIECXLOxHmkAACAASURBVAHlKwgpXY+fAFemEi5583H8DFzCcdmIz+LnxbPoaxyLNPGv3Uhc+3Eyeq9RMPwbVX/q0/hfprT839f8v4S9ZXTV57a+Xdl13D24uwWCxhMieKB4S3GPEUdiQNzdE6LE3d2NEFe01He7u/U9cr3j+a0V4Jx9/nt/mGNllYx+Ylzc837uOWfrrzJ4vQuwpp9taPzJRlJl9T8IL8zyHYAJU9+S6ldWVL20pPKFhUyBPTWnbMiMksGblPSbSd6ngFdxrxEl/YaUDF6neOgKuX3nSHlygvjmQ4RX6uKfr4pfrjq+edr45O/GK38/XvkGeOQfxj3/CG75J3AvOI1XkQxeon0MEoZ91W1Ca+wlwz6s1pGw2vuE1ToRWnOf0Bo7gqpu4V9+E99SodrO41t6lsDyM4RWnSO85iJRtVeIqbtObN1NEpvukNrmRkann3w204+kNl+pEls9pRb0Xcn1Tx6XiENkPXlEfk8ORQOFFAyVkP+0nLxnleQ/r6VAtIsvRKvYiICXAJaU6RLAktrDYWAJaFW+AZeIQ4gkvWxzhNjZlc6jvmQSu+OI64giui2U8CZ/Quu9CKv1ILLWjZh6dxKbPElp9iKtxYv0Zg8yBbRaPaRtjgVPPClq95YpLaG25OAq7vamtNeXsj5fKgf9qH7mR/0LAS8fGl75UCfg9dKdmlfOVL8S8JKZ9WUvrSl5aU7RMyPyn14me/AbUvuPk9i7D2HWSxGJznUEdywnsGMuAR0zCRB3FLvk8OoZ8f8El/C5QgW4hv0uSXmNJlRAS6pxhAmTXswwdooDGwsIalsmtYuRT7YR16FKYucukrt2k9Z9gKyeI+T2nCK/9zwlA9eofHaTupe3aHhlS+NLB5peOdP4wk0CVeWAM+V9TlT0OVPV50x5lwPFT2woaDMhIOkM+3ct4IDmEuKSLKlo8MHc7gDRSTcpKHlAYpotPn7nqCx/QEujJ5kZdzl3ToNVqyexQ2MBUyd/ytL5Y1i3fCzrVo1GU0+BNfNHorJ+CirbpqFjMJ9VK0axfO7n7P9qJYsXjWbmFx+y6PMPWDDyfTZtmoCuwUyUVSagpTkevS2jOLh7Bta3lTE8s4qv1SdzQmUCR1UnYbBrInq7JrFv3zS++VqBKxfmc1lcCtKZzuGtk9i3YTz6a8aivngEOss+5eSWEVzRHM0ltVGc3S5M+Y84r/MRl/Q/5fruUdzYNxI7y4k4P/wMp0LxEigz1oW6GoaX+JS+l72HmwSuxYSUrsBXpOIzxuOc97kUPBXAkkok7t9pNYVfdq9oAr5VK4h7rEpmzwGKnglwXaPpFwtafr3F4z/dkar1tzu0/iYgdovmX27RJLWPw/CylOD1PwAmvUoKI/+d9lFSX2aUDd6ktN+MEkl5ydRXUa8RRX3XKRq4SvHgRYoHz5HbfYK4Ol1CigS8lPHMVsE1Uw2XLG1csnRwydLDJXs/LrlHcZPgdR6f4iv4lt7AT/hfFRYEVlgTWHmLoKo7BFfZEVRpK30PqLDEv9wUn7LreBafw63wa9wKjuBWYIB7wT48C/fiVbAX34IDBJUeJ6L6Ig8bbxLfak1c6x1imu8S1XRbCtOGNfybu4qJ9WFkPkmkoDeb4sFCCodKKHhaQf6zajm4hhWXLBZRIMKor8TAdTV5AlwiEiHlut5murKelUljQKJFlNbd9GWQJIdWbEcE0eKwbJMfIXXuhFQ7E1bjTFStM7H1riQ1eZDa7EF6szuZze5kt8igld8me0WUwPUGXl5vFZccXBUDvlQ99aPuuS8NL31pfCXg5S2D1ys3ObzES6MdlZJZb03Ji5sUPrtO7tOLZA59Q3KfMOv38LBHjcguJSkiEdyxSKaMBLw6pxIglJdQXWIf1zsmfXDfF29axdD+UXJwfUrooKxkbaMcXuL1sW8qwT0K0gxj0JMlhDxZQ1T7VuI6VUjq0ialezcZPQfI6T1KXu9JCvrPUjxwmcqnJtS+sKHuxV3qn9tTJ14VB5yp6HGmrNuJkq4HlHQ6UdJ+n4KWO2TVm5HWcJX44vOcPbuJ3drriE9xpeZJBE6e32Dl8CW3HY8SGGRITpYd1eXORIWc58u9K1i9ZDQaWrNRmDmCmVM+YYU4jLF8AlpaCmxaM4ZVCp+zbPpnKG6dgvr+2axS+AylFWNQ0ZvN2k2TWDjxI9ZN+oiN0z5k2bRP2WUwE82909HQmMQu5dEY6EzC8PomLp1ezX71GexWnYnWjskcNZjOFaMlOPhsJjBBhchH+vi4aHHp0EL2KI5Hc9VItFZ8iu6KT9m/+jNObP6cb7aN4GulLzi1/lNOKX3EWdWPuaL7Gdd3j8D48EgePJiMS+pHUrv37svgsNEuPoXHJT7dysYTWL6YkJLleOfMxjlzDA/yP3yb4RLwkoNLwEtSXsXvcb94HF7li3nYsoOs3gMUP/+amu+u0fyLOY//dJu23+9KNQwwAa6WP96WSgYwob6saPjRivofZACTtY8WUgspU1+WkvqSvK9nZpQOCXiZU9pvTkmfGSW9NynuMaWo25iibkOKum9Q3HeV0sGLFPWdJvOJAbG12njnbcUpfRP307ZyL3Un91NUeJCqiVPmblxzhQI7iWfhN3gVncOr6DI+xdfxLTHCr8wU/3JzAsqt8S+3xq/cAt9SE8kfE22mR+FpXPNP8iDXAMcsfRwyNbBPV8Y+bSuOaUo4Z2/Du0id4Mr9hNecILL+DJH1F4iov0xY/RWCay+/K7j+2ZxPqAsl43E8ed2ZFA0UUPS0hAKx8+pZJXnPqyUDvuBFrRRCFUFUGbSqpF1ZYluEGLoWGyPebI0QEQgxuzhURJq0JSKTxL5k4nviieuMJLotgPAmL4LrXAmsuk9QhSMR1Y7E1N4nodGZ5CYX0ppcyGh2JafFnbxWL/Ify6qgzZuiJ17vqC4vSrq8pUiEUFyiyvtlqqv2mT/1L/xofOVH07e+NH47rLzEa6MT1VJMwo4KKSYxPBZ0jZyhi6QPfsWj3kMIv0uW71IirGs1Al5S9moYXl0TCJDmFmUvjAJiwyl68cIoRSOkiIT4eRShg+Ok4eth70tSXiLTJVddQe0LCWlfSWTHZmK7dpDUo0FKjx7pvfvI7j1Mft9xCvvPSP96lg0aUjFoQcWANeX9t6nodaCi5wFlna6UtLtS0OZEfosTOQ2OpFffIqnMiITyC8RUnMLGazc3LI5RWPaQRxkerF0xHYWZo5gy6XNmjPuM5bNGs3X1FFbOGcXscR+zbN4INDQUmDHuQzatGc+W1RPYtH48+ofns37JaNTWzWD9wjFs05jFxi2TWT79I9YvHInSzmlsUpvFIoXP2LZkFHs2z2Dj7M9Q2jwW7UMz2L5jHLpa09BV+QJj403cst3JbQd1rOy0cfTYj9/DfYRn7SWySJuYIh2Ssk7j53qcr3evZuu8kayf+gGqcz7kwOrP+HLt5xxY9Ql7V36MwcpPObH6c46v+4gzOz7mqs5IDA+MwvzMOB4ETsQ594P/qbaE4iqXe1UCWvJyL51IQOligooW45k9DafMkRK4pJdIeWspgavkPezEuJCAl4hSFI/Aq2I+0S1KZPbtpfj5SWpeX6L5l5u0/W7Dkz/f5cmfbSV4iU8JYL/dpvVX0UYKiNlI1fSz9T8BrOa1ueR91Uito2gbRZlT/sxM8r1k8BLgMqOkx1yq4m4zirpMKew0oajLmOKeqxT3nSe/9yuS2w4RWqGJX6EaTqlbsItTxC5uCw5JqjxI18cl5xBueSdwzz+NR8EZPAou4S3B6wZ+pcb4lZrhU3oTr2IjCWxeRWdxLziJS+4hHmTv4172LhyzNXDIVMM+Qxnb1K3YpmzELnUN97NW4Za/Du9iJfxKVfEr0ySgQo/AqgMEVR/+1+CKqwkmrSWW3K4MCvvzKBgSV6HF3cJy8p5XSvOJIpD6LrDyX1aQ/7KcArHz/WU5+S/E75ZJmx1yxMziUCEZQzmkDWRKSiuuJ5YYCVpCaXkRVOtCQNU9AirsCa6wJaLKjtg6R5IaH5Da5ExGkzPZza7kCl/rsRcFj70olKAlXhLFi6KsXZReFLt9pFdFWavoR3m/PxUDftQ89afueQANL2XgavrWh3o5vGpeuVD96j5VrxyoemkvC6e+tKDohTH5z66SPXSOtIGT8nCqyHdtI6J7A6GdKwjuWPgGXoFdUwgQl6ylM2Wj5bOLYgRIDFyPRWxAHc52SZ8iBiHBa7wMYOJ7/xRC+hSk4Wvx/w5pX054+wZiOreR1KNGcq8OaQJcfYfIGzhK4cDXFA2co6jvCsU9RtJfzNLeW5R221Pa+YBi8ZrT4kJW/T3SqxxJEpP+BWZE5V4lquAcEYVHcIs/gLXLIdz9rnDt5pdsXLuENStnoqq6CoN929BUX8mOHUtRVlvJTtWl7FCezdqV46WWUHn9ZBSXjWWL0ji098xCbcsMDmgvlS776Byai6rKDPYoL0Bj20y2b5+KxoF5bFw/CZ0ts9i/cz6aa8dJCk191zS09k5DW3s6GltHYHRtLU4eyjj6bsP83iZM7RRx9FPBN1GLsDwNInO0iYg8zH3zPRxTX8Ymhc9ZJYKn0z5k/6ovOLp+NLuXj0B94afoLvqMo6u+4MT6Tzi743Nu6I/D+Mh4LE2mcz9qPM6FstyVeAkUbaGIM4iSTHa5VyXg5VE2laCypQQWLsYjawoPRCi18APEK6RQV++WbfF7iBLwulf8Id5VCkQ/ViSjV5eiZ8eofn1RAteT323o+Isd7fIS4JJKqLA/3aHtT7d5/JuotxBr/kUGMKG+Gr63oO47C2qFeS8iFML3eiX3vEQaX5j2IrD6RnkJgJkhg9dNCjpECYgZUtB9hbyec2R2fEV6+yliaw9K3pfTIyWcU3fgmKyMY5o2DzL34Zx9GJecY7jlfYVH4Vm8i67gV2IotY8+pUZ4Fl3Bo/AMbnnHcMrZy71MLRwyVHHI3IpDphIOGVtwyFDEIWMd9hlrsEtfiX3GCu5lLsUpezHOOUtwzVuGe8FqvIs341ey49+AqyqQ4RBqfm8u+QOF5A0VkSdd1RGLAwWkBMAqZPuxXoi4hIDWcIk1NOIga4l0TTrnaREZIlg6kElyv7gAFE9sdxRR7SGEN3sTVOuMf6UD/uV38S+7TUj5LSKr7hJf70By433SmpzIbHYhp8WNfBF9kINLhE3Fa6KAVnGHtxSDEGqrVIBLrrbK+gS4/CRwVQ8FUPssQK66fCXV1fCtL/Xfektm/bvJerFKRIRTRQpZJOtzn14ma/AbKd+V2LtbikhE92wlomsNYV3LCelcIPlS4pJPYPdbeElrbnpHy8ElNkaMJ1heYhNqiACVBKuxhEpB1fGEDghwybZGiJU3we3LCGtfS0ynEok9qiT37iKtby+Z/YfIGzxC4dApCgfOUtB7kcLuGxR1mVHcdYtiMWz9+D65jU5kiPGMUjtiC+4SmW1FaLohgannCMw4QUDWQbxT92DppsWZqzvQ3avI5lUKfH1kG4EBRkTHWBMZZYGnnyERDy3x9r/E4cOrWDrzM1bM/JQ1cz9n/ZKRbN8xHkWlcWxfOwntnbPR1Z2LzqF5aKkocFBzMXu1F6G8bRZ7ji1m644pqK2dio7SbFSXj2Lt1I9QWjeWA1/NQ01tIlpq4zh/ej7Ovjtxe7iDO/4bMLm/FHPntdwL3o5fkhohyRq4uqlx+cuV6K2fjNLMT9kw8T12TP8QgzWjOLFpIvvXTkBz6WhUF45g34oRHF37OeeUv8Bo7zhunprOLbvZ3E+cgFPR+7LAqEi8y0uAS2oX5e2fAJdX+WyCy1a+AZc4Cnu/SAasYYVlJ9RWiQxaw+ASisyjchpRretI79Wk8OmXVL0+T8sfTWj/sw2df7Ol6292dP7Njo6/2tIu6i9Chd2Rqu130U7KAPbWA7NBpsAsaZQAZkmd/PVRik28tJDUV7kEL0spbS9eHEultlHA66YEr8JOMwo6zMhvN6Wgw4T8zhvkdV4jr/MyWU/O8qjhGFHle4ms2ENA8S6cM1W5n6rBgzQ9CWAPsgxwzT2JT+FF/IuvEyDaxpIbeBWdl0x9p5x93MtUxz5NCbvUDdilrcEhbbW8VuCQvhT7DFk5ZCzFIWMRjhkLcMycw70MBe5nzsE5ewFuuYv+Nbhiy/1JbYwkuz2JfDH2059P3mChtFZGwEucBct9Xkrui+Fr0eKzjIIXpdJZMHEaLP95kXRRWrq2M5RD+kAWqf2pJPUlEtcdTUxHMGGtPgTVO+NXaYdv2S18S6wILLUitNyamOo7JNbbk9J4X9oJlN3sQl6rOwWPZeCSVNcTT1kE4n+Dq8eHMsnfkkFrGFxVg4HUDAVQ99xf7nWJdtGXhjctozvV0kyjIxUvZfOMIpxa9PwmBU9vkDN0gfSBkyT3HSS+R4fYHmWiexQleIV2LSWkZx5BIkAq4CUMe7nyEvCSKS45uAbGy5YKvgHVeESGS6oBAa6JhPbPILRnDiGd8wnuWEJo+yqiOzeT0KNMcp826f17yBowIG/oCAVDxykYOCO9Loq/cPntN8lvsyav5Q7Z9Q6kVTqSWOxITJ4t4Zm3CU21IEDsEI8/hVfSITxTduOVrsktv+3sP7kcxU0KrFswBmtjXbIybaiqdqOy2o3cIkdq6j2IT7rJsS9XsmCC8Kc+Ye28EWxePQZVzamsXTmarSsnsnrhKLZrzEJVbw47FWegv3Meusrz2b5+OrqHF7FDcwarZ32GxtopaK8dJ61zVlo+gr2HFVDRmoCu7mSO7J+CnYsiPinKuCQqYhO0CBPX+Vi4r+BesBLekWrY227lmLYCqktGsmX6x2yd8gHqCn+Q9s6f3j6F41smsWftWFQXj0Rj6QgM1o2WQqgm+ydifm4Gdl5zcM4YL/lbUtL9XXANG/QlMtNdgMu3fAGh5WsJKlyCR/YUnHI/le3uegdW/xtaw+2ia/lkIprXkNqjTuGzQ1S9PkvzH2/w5M9WdP39Dj3/sKX773Z0/t2Ojr/ZStX+17s8+csdqdr+fIu234dNfLmB/0cbhPpq+tmKph+tJIDVfy/zvUTrKHtxtKRCnrYf9rxKpbbxrfJ6Cy8zaWg/t82EvCeG5D65SvbjS2S0nCO15SuSmo8TXrkf33w9vPP08Snaj0feQbzzjxJYfJaQkmuEFF8nuOQaweUX8Sk+hmuuHvczdmKfsga7lOXYpSzBLmUhdikLsE2ej23yAuxSF2CfthCHtIXYp8/HPkPUHOzTZ2OfNhP71Ok4pk3/1+CKKfUmuT6UrCfx5PemS+1i3mCepLpyh4oRCir7WaG0Zz7vuVBiclAJWD0vlFcRueL3BvPIHMwirT+N5L4kEnsf8rAzjMjH3gQ3uuBXZYd3qTU+xeb4FZsRWGJORLkVsTU2JNXZkdZwj6wmJ0lt5bV4UDCsuCRjfhhcXm8Ul1Bb/xe0Kgf9qRoMonookJqnAdS9kLWMMsUlV10vRbrelcoX9+RbJIZVlwVFz0zk+7vEK6Nsf1dcjxYxPVuJ6lYkrGsVoV2LCO6eKztB1jWNwO6JBLyz6kaoreEKFvASikteIgYhBVClVnI8YQMzCO2bQ2jXPEI6FxEqfK4uReJ7dpDcp0HGgB45AwfIHzpM4dAx8vu/IbfrAtlPLpPVbERGgznptdakVNwlodCWhzn2hKfflU6xh6SY45dwGY/o47jFHsA1UQu3tJ3ci9vMBZvVKO2cwOoFIzhlsBrn+3sJj/iGmNiLBIUcp6jEmojo8+zVn8+SaZ+wbeUEdq4WQdUpaOnOQn3LLLSVF7J68Vg0jyxm/ZbJrF0wml3b5qKqOJ0Ni8agoT8X9X1zpPGgvdtmcUx/EYfUZ6O1cRLbtoxF58QMdHZNYZfaFxhbLMYnRQmfvHW4pC7BKnQGhm7Tuem6BHu3rVibbuGo2hxUFoxEaeof2D71A7TnfsTh9aO4oD6Zi5qTOLltPHtWj0Jz2SgObhwn/TdTg8lYG87EJXouXkVj8Kh4D7eK93AeBtc7r4vDsQhh0PuXLyGsbCOBRUvwyJ2IU/7HUmhVtIjvAmu4TXzzWfQezqXjCW1cQUq3KoXPDKj6ToDrOu1/tqT773fp/f/sZfD6h70Er86/330DLxnAbskBdkemvn6/Teu77ePP1jT/JIfXd5bUidbxlSXVL62oEr7XMysqxGLCAQvK+s0R8BoGWFGXOQUd5uS3C3CZSauSBLxyxFbWVmOyWgzJbLlKessFUlvOkdR4mri6U8Q3fs3Duq+JqT5NbPVFYiuvE112jajSa8RUXyOi6jQBxQdwyxIqbSOO6WuwTV4sAevuozncTZrD3cR53H00VwYwCWgyqNmlzsUudTZ2qQrYJk/DNnnKvwZXRJE7ibWBZLTFkNudTGF/JnmDOeQM5pI9mEvOUC7ZT2WfOU/zyH2WT568xMl78bNQWjlDeWQNZpM+kE5qfzKP+sTF6zBinvgR2uSKf60DPuXWeBWb4VNkgn+xEUGlJkRVWJBQc0vagZ3ReJ/sZmdyW9zJb/GkQMwjilaxzRsRhRgOnQpvSzLl5W2iiEEIU16U8LckcA0FUv1UVjXPAql7EUjDKz/qpXbRh9pXXlS/cKfyuZMEr/IX9pS+uEPJc2uKn5tT8FS0jBel/V0p4pWxZw+xPWpEd28nsmsjYV0rpJYxqGs2geKKj3hp7JqEn6S83u7qki0YFOCaRHDfBEL6J8lLrsQGBLimEdo/S666FhDasZKo7g3E9W4luV+djEE9sgf2kztgQP7gUXJ6vyKj/RtSm8+RUneVpCpjEsvMiSu0Jjr7NmGptwl6ZE1IihVhaaYEipt5D0/gGnMQ53gtXFPU8cjejHv6aizdV6CsNoa1y0agtn2aBJGjR+Zz55YyhYXWBAefRGvnVJZO/Yi1Cz9nlcInqKhPQWvXDPaoL2S/3nL0dedx4OwSlJSmoKaogL7aYvRVFrJ55QTU985C/5sFbFgxhpN7FnNYdzlf6sxnz/aZKK0cw+4zc9mpMhYN9ZGcvTQDl/jleJcuwLN4Dk5ZM7GOnIyxmwJG1qu4cHwV+5VmsGPOF2yc9D5bJr+H5uwPMVg7gqu6EzE9MJlrOhM4tWUsX64dwfHNI7mkORHTY9NwcFhEWOFKoptnENk6huCm9/Grew/P6vdwrZC1jMOtoshjCfAElW8kolxJZs7nj8ZJ+FtyaAlwibpb9LZNFD9L30XUongkIQ3LSe1RpeiFAdXfn6X512u0/8WSnn/coe8/7Oj7DwcJYEJ5df39LgJeMoDdof2vt/nfCuzx7zaS/zVs4De/gZcVDd9ZUv/aktpXltS8tKRagpeFDF6Db+El87vMeQsvczm8zMh5bEF2iwVZzWZkiTXh0rrw66Q3XyOl6apUqU3icIsRaQ0mpNSaklhhwsMSQyKLrxFefI6Qoq8IyDuMd9ZuPLK0cc3cjlPaBu4lr8IxcRW2D1dxN3Y1dvFrsYtbi23seu48XMftuCXcSVjA3cTZ3E2cyp3ESf8aXCGFzjys9iG1NZycrnjy+1LJ7c8gqz+TzP5MsgYyyRoUlUXmYDZZQznkPM2R7izmPs2TwCa+i4OxGQPiUGwKyb0JJPZEE9sZSESrB4H1D/CpvItniQVehaZ4FxriX2xISNlNoqssSaq7Q0qDPRlN98luEf6WeE30fGPM/1/gEtktMWAtM+XfQksGLj+qnwa8KQGuWgGulwE0fOsnVf0rH2peim0SQnU5Sfu+y1/YUfpCpOqtKBYt47NrMqO+/ySPeg2I69klpeqjurcQ0b2OsO4VhHQJv2suwV2iZZyGX/dECV7/5HeJgxnvgEsCmdysFz6X1C72ziG0cwGhncuJ7FlPXO8WHvWpkdKvQ1rfbtL79pPRc4jU9mMktZwksf40CeJfvtLrROUbEZ5hQlCSGYHx5oQkWxCdbcnDXDMiMq4RkPQ1XokHcU/UxT1NGa+8zfgWLcMrfw63/edz4Ogs9HQXceLkOoxMtxMaeY5HmTbctd3NjvXjmT/+fRZP/ogVCz5Bfdd0tilOQHvzLA5oL0B3/0J0j81DS20OuiqL2KO1lAO7lrFz+0w0v1yA9snFbNWYgdam6ejunI2+ymx2bZ6C0pIRqOtMR/PARHbtnsSxr8ZjGzEbt/LJuIgEeuFEXLNnYhe5GDO79Vw8sYEDm2exVeEz1k58D8XJ76Gi8AF7V37KBa0RmB6WjfecVhnD0bWjOKI4gjNq47j59Ux8QtaT1riV/KfryHu+nKyhBST1TiWi7QsCG97DrUpm1AswCXB5VCwnqkabmKqdBJcsxLPwC2np4Ltq627xe9wpfo+7AmDi52FwFYmB69EENywlpXsnxS8OUvvDWVp+u07n36zo+4+7DPynPf3/4fAWXv+wpesfAlx36PjbbXkJ/+vuG4BJ7eOfbXj8p7fGvQiuNv9kTeMPAl5W1L+2ovaVFbUvbah6bkHl03eUV59QXsMvjRYUdgrlJfyuYeVlRu7jm+S0CHCZkdViSmazKRlNN0lrMCW13oTkWlMSqkyJqzAhttSE6EJTwvNMCMkxIjDrGoGZl/BPP49X8mnck07gmnQQl0R9XBJ0cY3XwylmD3YRetwN0+VuqD63g3djHaCLZYAyVsFKWIetwyZyOTZRi/81uIJzHxBd7klys7iCG01ebyK5/clk9aWQ3ptCWl+qBKPUvhTS+lMlRZU5kEHWQJYEMwE28T1jII20/mSS+xJI6o0hviuEmCfehDU64V9ti1epFR5FJngW3MC38DqBJUZEVJgTW21NUt1d0hsdyW6WtYk5zcPgkqXlBbhEYv7ta6IPxd0+/ye4ZGrLX2oRRZtYK9TW80DqXwRS/8qfhm8DaHztT8NrP+q+9abmpTtV0jD2fSpfOlDx0pYyaSTIgqLnsmCqMOpT+46R1LOP2G5tYnp2EtWzifDu1YR2LSdUwKt7tqxt7J5BQPc0M5xd4QAAIABJREFUAnomEiiqdwJBErSE4poq5bakl0ShvEQAdWAiYYNTCRucQVj/LMJ65xHevZTInjXE9m4moVeZR70aJHXvIqFDn4S2g8S3Hia+6TixdV8RU3GGqMKLhGZeJiDpKv6xhgTFmxKZbk5SoRUpJVYkFpgQkXmOoPQj+KXtwztLDd98RfxLl+JXOQW31LkY3V6OveMhfAMuERB8jpAYI1wDLmBopoqy4jjWzf+MzUsmsHnjKJTVJrN13QRU1k1DafFolHfPQ1VnOlo7FdBRWYiu+mL01RehqjqbrVoKLF83Hv3jS9mwehxKy8ejrjiNXRsmsmPZF2xYNQr949PR1pnI/i/HYeEzCZeyT7hf+BGuJR/jmT8D17jVODipcP3UTvZtmsWO2Z+iNPN9dsx9H53FH3Jg7cdc1voU84NfYLp/FKdVRvLlupEc2ziSs6pjuHJkMua3FuCdsoLCwS3U/aRM9U/bKHm9hsyn84nvnEpI8xe4Vb+Ho2gfy8YRVqctGdVx1SoElczCvfBTKb8lgUv+eihaQwGsYXBJP4uVOMXv4VI6lqD6JaR076Dk5X7qfjrD4z/doOvvVvT/py2D/2VP/386SiVTXg70/MNe5nvJwSWD2B06BLzemPcy70u8PkrK65dh0160jcPwspbg9VZ5/T/g1WUuh5doG4XyMievzZzcVqG8zN9UZpM56Y1m8tue4mL6TeLKTHlYbEJUgQCXKSHZpgRmGOGfegOfR+Kk2TXEMVnXmAu4RJ/FJeobXCLO4BRyHlv/M9zx/YbbPmew8TqDpfvXmLt/iYWHAZZee7Dw0sLCW+Vfgysw8x6RJa4k1PuS/iSU3J6H5PYnktWXQHpvAim9CTzqTSCpJ076FN5VSl8yaQJkbyqZ1L5EkvviedQbQ0JPOA87/IhocSWo1l5qEd2LzHAvMMSz4Bp+hdcIKTUmutKShJrbUpuYKdRWs7OktiRwieBpq4hDeEqtYuETH2mwWhr1eZPd8pHS8rIWUZbfqhryp/qpDFzvQqvhpQxcja8DaPougKbvA2h4LfwuL2qlYOoDebbLXsp2iWVtUjD1uSyYmtH/Fcm9h4nvEVskNKSIRGT3esIlv2uppLyCJM9rNoHdswjsnkZgz2QJXkG94yS1Fdw36X+Ba4r0qigD11TJ6wrrn0tE3xKi+lbxsG8jcb3bSOhWJr5TjejHYq3zbmKaDhDTcITo6pNEln5NWO5ZAlPO4RN7Ad+HVwhJNiY214L0Mmuyq2zIqDAjofAy0fknCc01ICBPg4AiRQLLlxBQPR2v3PnccV+Nk9sBXDy/wdpuP45uxwmMvIbVHW3UNo9DadkYlJZOQEV1Iiqqk9FRnYueyiK2rZrIruNLpD1cmkoz0VNZIKkuja0K0nqaDVumMn/uCBQ3TUJDX4HNS0ejrTSTPcoK6G+dysalI9lzfDYqmuPR3z+WCzYjcC0ZwYOi93Er+RCP3Bm4Rq7B7s42Lu7fgO6aCWgs+BT1hR+wa8X7HFz7B45v+Yzru0Zjtnc013VG8NXOz/lS8TNObvpCWiJ4UmcUhw5PxPj+QnKeqNP2617aften4RdVyl5vIntwsQSvwKZPcaseg3f1RhKbvyat8RTRlVvwL5mEm4g5yMd7hl8UBbiE4hJKS6rC97hTIAOXa9l4gusXycF1kIafz9D2J0O6/2HFwH/dZei/7Rn8b0cG/suB/v+0l1rHYd9Lahv/dkdSX53i86936fjLO/D6XcQm7sjaxj+K1L3VW8P+ewEva+q+FcpLtI1WVD+3fqu8+i3eqK6SHgtpDEymvCzIb7eQ4JX72EK6ayCDl2gdzcloEgFmcZT4pgSu+HJTYkuE4jIhIt+U0BxTgjJN8E81xifJCO8EYzweGsmOakQY4hx6gwdB13H0M8TO25C7nobcdpcdkbV2vo7lgytYPLiExYMLWDidxsL5xL8Gl1+aLWGF94mt9iCl1Y/MzjCye6PJ7I0htSeaR91RJHRFEd8VSXxXNAndD0nsjpWBrCeeRz3xJPWI7zEk9USR2B0mtYhRbZ6ENt7Hv+o2niXmuBUY4ZF/He/8q/gXXies1ITYaiuSau+S2uBAVtMDclpkodO34JK1i7L5RB+KOnwo7vJGtImlvQJaYheX8LXehVYA1c/8EQFUkeMSSktASypJbQXQ/H0gzT8E0vS9P43f+VD/2oPa187UfHuPmtcOVH1rS+W3tyl7ZUHJCxMKnl0la/AcqX3HJdUlrgTFdKsS1bOZ8K51crN+MSFd8wjqlnte8qhEYM84AnvG8C68ZG3iFEJEFELU4FRCByfLVddsIvoWE9W3kof9G4jr20p8904pSR/VqkFEow7hdXsIqzpIWNlRQgtOEphxGt/E03g9PCsZ8WHpRsTnm5FRYUlujRW5NeaklV8hofQroksOEVqsSXCZIsGVSwmqnY1v8Tzu+i7D3kmHm1Z67DFYyqETS7Gx1+Om+U5UN4xm+YyPWDbtD2jpzUBTbTp7tBdyUH8Fe3cvZN/5pSiKl8YNU9itugDdHQtQWjUWdX0F1m+aLAVQ168Yzf5vFrFTcYrULuqpzGa38ky0FMeioTsNjX3T0NQZw7FLn+OUMx1nkaMqGYFn1nweBKzB7NpqjuyYifayz9Be8gd0V3zA3nXvc0TxQ06rjOC67gRu6IzjgsZITql8xqmdH/PNjk85rfEpR7RHoa02hlMX55BeqU37zwZ0/8WA1l/1qP5uJ0XPVpLSM4eo1rmE1K8nsv4QSfWXiKvUJ7h4Cd6Fo3B5ZwWOnfC1RARC3iIKX+u22JpaIAOX+HPXigmENC4mtWcnJS8P0vDTN7T96Qbd/7Bk6L9teYoDQzgyiAMD/y3gJTwvW3r/v7uSed/1N1tk0Lotgavzr7ZyeMkiE0+G4SXmHv9oLb02/s+WUaguGbhqXli/gVf5oCVlfQJeFghwFXcPw8uCgg45uNrMJb9LHGURJQAmwCXuegpwJVXd5F1wRUrgMiEo05iANCN8H8nA5RknTpqZyI5qhJpwP9AYB19T7H1MsPUy4a6HCbfdTLBxMcb6gRGW94ZLtpf+XXL906yid5IVQTm2RJU7kdDoQdoTPzI6A0jrCuJRZxDxHYHEtosKIqYjiJjOMB52RhDXGUF8ZwQJXZHyCie+K4jYDj+in3gR1uJMYJ0dPuVWuBca45p3HY+8K3jnXSGw8DoR5abE11jLTPlhtSXS8s3usuDpG7Ul8luiPCnqEJsgvKT9W2IH1zC4xHzisNISc4o1z2XgqpdeEwNofBUoq9cyaLX8EEjrT7Jq/sGPxu+8aPjOjbrvnKj77h61r+2p+daWile3KJUHU3OfXSBDrL/pNSChW59Yad3zDiK6NknwCu1aQWjXYoK7FhDUKV4bZxMgfK/uKQT1TCSoV3hcol2cRHD/FIL6pxE8MENe0yRwhQ9OJWJwNlEDC4geXE7swFri+zeT2LuDhC4VYtrUpfuLITU6BJXtJbDAgIDso/g8OoFX3Cl84s4S+OgKEZk3SMgzJr3MlJxqC3JrbpJZcYlH5adIqDQgukqLiGolwmtWEVo3B/9KBexDl3DPTRNbu/0cP7ES7d1z0NqrwIHDs9i5VpjyH7N2/ifo7puNstJEtHcosFtrEXoH5rHrqAIqm6ewR3UBB3WWorNzHisWfoTesYWsV5zA6oWfs3nNaLQOzEFJeTI7N05Ce8tU9LZPY9f6UWzbOAadwzPQ1JvI4dPjsI+fg3vZJ3gXzcA7eS0uHtswObOWA5snor30Y3Yt+xD9Ve9zYMP7HFX6kNOqI7isNY6ru8ZxadcYzut+wcXdH3Fe+0NuHB+P0aV5HDs8nSPHJhGXpULTi710/naQx7/sofY7VYqfbyKjZxMJbZrENh0iqvIkIXkH8UhejlvqBJwyvsAu/WPupP0B2/RR2GdP5F7+TJyL5+Naugjnsrk4Fk/CtvBTbAvfx77oE1zKpxDStEwy50teHKT+x9O0/Xad7r9bMPRfdjz97/sM/dcDBv/zPv3/eU/uednJXxtFyyjqjlRdQnVJ7aO8bRR5Lzm42sS8468iaW+NMOuHYxLC7xKqS5Skul5YUvXMmoohKyokeFnK4WVOcbelXHm9o7rahN/1FlyZzf8HuEpNiCkyJSLfhNAcAS4TObgMZYor1hD3h0a4RhnhFGbE/SAjHPxvYP9GdRlxx90IGxfZdWsBL6v7cng5/ptjGR7xN/HPtCGs2J7Y2gc8anUj5Yknye1eJDzx4mGbJ1GtnkS2eBLR6kXkY1+iHvsT3RZETHsgD9uDeNghyp+Ydh+in3gQ8diZ4AYHfCtt8Cg2xS3/Bm65V/DMvYxP3hWCi24QXXGTxNrbpDY6kCV5W0Jtub0DLlmOq1AMVne4U9zpQUmXJyU9MnCV9cl2cA1DSwLXMLReiCFrP8mMb3zlT9O3/jS/9peUVssPQbT+GETrT0E8/jmQxz8G0PyDD00/eND4gwsN3z+g/jtHCV5V396l/JXYImFO/nND6TZjWv8pknoOEdetT7RY99y1nYhuRcK718jN+qUESwBbRGDXXOnFMahnBqKCxdbTvqn/C1ozCBmcLoErYmg6EUNzJHDFDC0lbmg1SYObSB7YwaM+FeI7NYhu1ia0RofA0j345xvgk3EYz8RjeMaexDf+LKGpl3mYc4NH+caklZqSXWVObrUpmRUXSa44RVK1AXG12sTU7SCqYQPhDfMJqlPgQexi7nuqY+ewh0PHF7Nrzxy0ds9i/8FZqG8azY7V49iyZhTqOlNRWjuWrWJj6orxqO2eg+buWehrzWOf1lIO6q3k4O4VbNk8gUPnV7Fxwzg2LRnF9lXjWbtiNHtPL0Np3Wg0FCdioLWQg5pz2LFmLAan5qJ/aBr7jgmfawreZZPxyZ6Hb8RmnG4pY3R4PXs3TkJz0cdoLvkAPQGujR9ybNunnNUcy1W9CRjuG8/1A6O4fOBTLh34mG90PsTaeB4O99Zw7cYcDn85hsDobZQ+3kPD08PUDh2itH83OR06ZLQdJrnpHNHl3+CVpoe59xKu35vCjftTuOY4kfN3xnL+1iSMHOdi7bUSh5BNuMbuxC9Tk+ASLfzLlfEuW4dH6TI8ypbjW7WG0LpNJLaqk9trQNWrc7T8bErbb5a0/+kWbSKTJY8zCKXU9ustOn6/S8/f7On7hyM9/3CgR6ivf9yRcl/C75I8L/Ha+Jc7tEvwuk3bn25JLaM0JvSLLCLR9KMljd9bSy1j/WuhvKzlLaMNlU8FvKylRZRlfcPwEspLwMtSUl2iZRSV2yZ7acxpNUeAK0NSXKY8qjYlQTLnjYkuMiKywISwXBOCs2Tg8ks2xCfREM84I9wfGuIaZfgGXI4BRnJwGWHrZcwdd2NuuRph7WyClZMxlg+MMb9nhJmj0buC659nFd1ijfBJNSM4z4aIclvpPNHw6e64x85EtToR1vSA4IYHBDU4EdToQkizO6EtnoS1ehPR5kNkmw9RbV5EtnkQ/tiFkKZ7BNTcwbvMHLdCY1zyruGWexmv3Mv45V0ltNiY2EpLHtXbIrytnBYRgXCTYhCSr9XqQcFjDwrbPCh64klxhxxaQm31eFPW60N5n4+sRRzyk4aqq5/5UPPcVxqurn8hhqvFqI8MWC3fBSBU1mOhtH4MpvWnYB7/HEzbL0E8+Ul896P5R28JXpLyktpGJ6q+vS+dOSt7aUvx81vkPb1J1uBlkvu+JqHnMA+7dxPVJb8S1K1EePcGwrrWECr5XssJ7lxEYOd8gnrmECQGqcVpsr6ZBPfPkCpE5LdEDc4idGg6YU+nE/F0JpGD84gZWkbc09UkPd1E6tAO0gdVSOpW52GrFmE1uwgs1cc/7yA+6YfxTDgmBUwDH50nIv0qcTk3SMk3IaPUjJwqM3Kqjckov8ij8hMk1hwkoU6XuEYVYpo2EdG0mJD6OTx4tAg7rx3ce7Cfs1fWc+TkUvT2z0Z/72x2rB/NugUjUNk2AQ21KVKbqKcyF9Xt09h9ZimqqjPYpTwbPY2F7NZcgr72QpR3TuHI+eVsWD2WbcvHo7l5mjTjuPvYPNRVprBr+wx2q83DQHOe9MKou3sauwymoXdgPJdsxuNXNhv/zGW4e6/H7OxqjmyfjebSkagt/Aj1JR+gI8Cl+AdO7BzJ+V0TuHFgMsZfTsToyFguG3zOuT2fcGLXh1jfXIbjg42YmM7HYO9orG6tIiRWg6gMPYKTdfB7pIFvqg6BaScJzTiLT9JBLL1X8bXJZPadnITO/omoaY5GefsItFTGcGTPLL45vohrF9Zw23ozgWHaxOXvJ6ZSn/AKVULKtuBfqoRP8Sa8CxXxyd9CWJkmifVfktl2loy286Q0nyW+9hQxVcd5WHWC2KpTpLWco6j/OvXfm9Px+x16/uZAz9/lWa83MQl50v4vtrSLecffZcpLjAgNRyRaRETiRyuafrCi8TsrGl4Lv8taemWsfm5D1TMbKoesqRi0oqzfktI+S6llLOm2pLjbisJOAS9L8tstyWuzlKsuc7JazEhvMiGl3pSk6pvEV5jyUMSZioyJKDAlLM+EYLniksCVZIhXgjHusca4CMUVLlNc9wIMcRCKy0cOLg9j6SKQjbMxVk5GWD4wwuKeERb/TnG5xlzH65ERAVlmhBRbE1VtS3yjPQmtDjxstSey2ZaQhjv4197Bt/YufrX2BNTfJ7DBheAmV0Jb3AhrdSWs1YWwVidCmu8RVG+Hb6WVpLZc82/gknsFt9xLErgCCq4TXmJKfLWNFIGQeVsuErjyRH7rf0DLg+J2T0rEzq0uz3+G1qDYBOGLDFo+1L3w5S20/CSV1fJ9AK1SaxjEY6GyJGiF0PbHEJ6I+iVEUl/NPwbQ+L0/Dd/5Uf+dP3Wv/an9zo/q73yofO1J+SsXil44kPfMmoxBQx71nSO2+zgxXQeJ7NIhvFudsK4dhHZtIlTKea2TABbctZQg0T72zJGDS4Hg/llSDYMrbHAWYXJwhQtwDS2QgevZKpKebSLt2Q4ynqqS2q9JwhMdIup0CS7TJzD/IP4ZR/BJOoFv4tcEp1wgKvMa8TlGpBbcJLvMgvwaC3KrjUkru0BS+QkSag6SWK9HfJMaMc2biWheTkjDXO6nLOC21xY8fE5ie38fJpY7OXZ6NQcMFrFt3RgWz/gIzV1TUd46kb06i9mrs4h9exajf3YxakqT2K0yh70ai9ijvggdlbkob5vCvuML2bx2Auobp7JXbQ67lRewa/dMtPRnoLF1KrrbZrBfdTZ7tk1FectYdA9NY9fesRy/NB6/osUEZK7kges6LhxegMaKsWyf9wkq8z9AffH7cnB9xNHtI/hafTxX903C5Oh4TI6P5caXozmv/xlfqn/C6aMKXLqwmNMnZrB722d8dXAmxtdXY2SiyDWTzZjabsXKSR1LR32s7XWkGcnzltP58uJYdu0dj9KGUaxf9AWKi0ahvGo8upumsGfrFI5pTcPk7AL8/TaTkKfBwzJVIsu3EFa6Ef9CRdyy1uGYvArb2BU4xG7APVkN73Q9PNP0cU3W4X6CGg6xO6VyfKiCa9IuQgsPkdx0hpKB6zR8b86TX2/T+Wdbuv76dkRIjAsNvzLKVNdbo17s+mr5xYaWn6xp/sGKJgGu76ypf21D7atb1Ly0ofr5LbnqskLyuwS8ei0o7bGSwCWDl5UEL3G/U8BLKC4BroxhcNXcJL7SlIdlpkSJVlEOrpAsEwLTjHgXXB4PjaVW0VmAK9iQe4E3pHZRBi4j7noac9vdiFsuQnW9BZflvwOXy8OLeCRexTfDiIB8M8LKrIiptSG26RYxzbeJaLIhqM4Sn6qbeFaa4VVlhU+1AJk9gfWOBDfeI7jZkeBme4Ka7QiUIGeDZ+lNXAsEtK7ikn0Jj9yLeOdeJqjwBlFlZiTW3HkTgchtcSVPmk10o+CxO4Vt7hQ98aCoXb4osOuttyUpLXEcQ0BryJeaZz7UPvOmTloe6EPjK1+aX8uh9d070Pp5WGUJYIXy5NcwnvwaStsv4bT+FEHzj5E0/RBF0w8xNP3wkKYfY2n8KZaGn2Ko+zGSmh+CqHjtS/ErV3Kf25I+eJPE3ivEdp8muvsw4d17COvSJrRLjdCunYR2bSWkczMhXesI6lpBkEjaS/CaQ3DfHIL7ZxMiQqcDs5CBayYCWhK4ns4l5ukS4p6vJOn5RlKfbSP9qTJpg1o86tQnpnG3NIoRWnSYoOwTBKR+TUDyWUJSLxOTaUhijglpBebklFlRIMz5KlPSyi6TUHaCuKoDxNfpEdeoLoErvHkZQY0zuZ8xB3OPdTi4HsTd+ysc3fZz98E+DG+qo6I0kUUKH6O1bwobV4xCc+ssdNRmo7d3LmoHZqC+YRwH1eZwSHMBe1XmobphGls3TkBDVwGldRPR26GAgfZCDNSXoLFjGvtOzEdZaQIaa8aye8d09myZxM61o9A7OB39w5M4eHwCHo+WEZimiIvLNi4YLENtxWi2zvsDyvM/QGPx++it+gCDTZ9wdNtIju8cwwW9MRgfHsPNY7JLPud1R7F/6xeoK45CfctYtJVGo7P8E/YrjsVAeRp7lWeyR2M2X3+zgnOXNnDYYBX798znyKmZfGU4ja+MJ3Dw+ERUlUahuPBzNi0ahcrayWgqTmTXplEc1x2HjakCfhFLicxbTXjRCkKKFhNYuBDvnCU4JS/lVtRCLEIWYB60GKvgVdwK3citcCVswjdiE74Wq9BVWASvxCJwNZaBa7kbvhX3ZB3Cig7zqPE0BT1XqXphKvlWbb/dlsx5YdK/Mer/LGsZ37wwiu0SAlwi2yVU1/dCdVnT8NqGum8FvETLeEumuqSW0YqKAWHWW1LWY0WJvIq6rCXlJXtltJCMepHrEuBKrTflUc1NEiRwmRBVbCKBK1z4XNkCXMZvwRVvjOdDY+llUQJXiCGOQYY4+BtiLymud8AltYviFqNMcVn+u1bRNe4cHkkX8U6/hl+OEUFFJkRWmRFdb0F0oyXhDWYEVBvjWX4Nt9JruJUZ4VlxE+8qS/xqbQiov01g420Cm8SnDf51lnhXmuJedAPnvCs4Z1/CNesCHtkX8c29Qoi8TUyusyWz+QG5rS7ktoqBalnJoOVOcbuH1CIWC19ruEWUXhHl0BJK66k3tc98qH/hLS0NHIZWy3f+tH4v2sJhL0u0hQJYwTz5NYT238Jp/y2SJ79G8fiXWB7/kkDrz8m0/pxG68+ZPP4lnbY/ZvL410xaf02n+ddkGn9JoPanGMq/C6LopSfZzxxJGbAivucGMd1niew+QVjXIUI79xPSoUdIhxYhHaoEd2wnqFORILEWp2cpwT0LCe6bT3D/fEL6Z0vgCh+aScSQAhHiUyiuZ7OJfrqQ2GfLSHy+gdTnW0kb2iEpruQufeJa9hNTd5ioiuOEF3xNaMY5glMuEZ56g9jMmyTnmpNeZEVu+S3yK63JrjAlpfQKcSXHiS7bS0zVLmLq1Yhs2kRo8wICm0bjlDsDI/dFGFpvwe7+fi6Y7MDktirXb25HU3maBC7NPVNRXDoCpcUj2bJ2NLsOK6CqOhH9nQoc3bWY47pL2Kcym/ULPmOb0kQUlaaxbN5o1DbM4JD6fA4pL2D70jGSwb9r13TUVo9hn7IChzXmor1xIjq6UznwlQL7DMZi57WCkFg1XO01uH54HXrrxrN93ofsmPchaos+QH/VhxzZOoKvVMdxSnUsF3VHYXxwNCYGY7ixbxynNSawe8Modiz5nM0LPmP7/M/QX/IZe1aPQG/taDRWjUJtwwh2a09Af9c0FFeNQmndCPYbTOSi1QyMHszirPE09uiNY+c64dGNRX3TZLS3jeOg7niuXp2Bo9c8vBLn4ZM1B5+c2fjmzsInZyYe6bO4Fz8Xq1AFTPynYeI3A7PA+ViGLMUmfDnW4cuwDl+MVdhCLILnYx40X/pzs4DFmAeu5k7EFpwTtfDL3kN05TGpvax4ZoRoAzv+LF4XZS+MIiIhaxdlmyXEZtVWsWH1l1vS7wrvrOl7Gxpf29DwrTwi8fKWpLqEUS+FUwctKe+3oqzXitJeAS9rirutKeoSqkv2ypjzWBZIzWgUIVRTkuXgii03IbrEhMhCEwS4QgS40o3xTzHCR7SKAlyxxrhFG+EcbsiDUCPuBRniGCADl523sfS6eMdD5nNZuRhiKcB1X7SK/87jSjiDe9I5PFMv4ZN9lcACQ8LKTYiquUlUvSlhdcb4VV7HvfQCTkXncC6+hFvZNTwrjPCqNsWn1gy/egv86y3wqzPDu8oE99IbuBZcwSn3Ei7ZF3HPuoRn9mUCC24QUWpOfPVtWQSi2UmClgBXXqtQW24UtrlR1O5GcYc7RZ0eSOCSG/LiDFnFgDhF5kP1U19JaUnQeuFD40uxAcIPAS2ZlzXcFgbL2sLfQmj/NZj230Jp/y2C9l9jaf9jAk9+TZEg1fbHfNp/Labjt1I6/1RK5+/ldPy5nPY/l9D2eyEtv+XS+Md0an5MoOx1BPnPfckYciKp7zYPe24S2XWN8M6zhHWcIKT9S4Lb9xHcrkdQuxZBHcoEdSgR1LmW4O6VBPctkcAVOjD3DbjCB2e9A65ZRD2bz8NnS0h8vp6U50qkDG0ntU9D2oia2GZAXOMxYmu+JqbkHBFZlwhNu05UuimJ2VakF9wiq+QOeeV3ya+wIbvMlJSSKySWn+JhxQGiKnWIrFEhvEGRkOaFBDSNwiVfzAUu4MyNNZjf0ufgN2vYe2IZuvtns0NpHKsWfs4u3amcOLyCo/uWoKs7h4MXlqCtPJW9Wos4smcFJw+s4sTe5ejsmIGq2gyWrRjP+DEfs2jGCLQ2TEVnwwRUV45DXWUyB47ORXfndA6o/f+cvQVQlmnb/3/v2gLSoIiC3d2d2N3durZStmIrBt3dIigIigLS3d0Ndq66nZ/fnNeNrs/zvP/3eefPzDGEPtJKAAAgAElEQVT3dd3o7uzMzme+x/f8nsfRi9Wz+rB4cmfmGnRk9fYeLF+txtFTfXFymc4Fo3Hsmtub2QOVGdO1NWO6tmJyDxkLBrdgw2RFvpuryc55ndi7WIuDSzXZv1iLnXN1WDdJiwVDlJg1UJFZ/RWY3as9s3u1ZXa/dkzvr8LEfiqMH6jExFFKjBrWnr7d2jB0YBsWrlRh31ktTCw6svOkFsu3qDNngSqz56ixeHFH1m3WZveRjhy16MJ5r65cDuzK1eAeXLvbG+vwnjiIA4WInliEdOO8XxdOuOly1LkLR130Oe7eg5NePTjh1ZOTnj046aHHCbeuHHUR1YVjrl057tqdYy59OOY8kJNuIznnMxHb8PkEpm8mRiwVeXmCwu/PUvyD8LkuSp/ycTj/5Lq+Blfe6zPkvjxDzsszUqo+89lZ0p/I4SWM+pQ6sebuFEnVcnAlVJ0mvvKMBC/hdYlQqjhdlBSXAFfmP+AKSBTgMmkGlwlu/wO4rJvBddPbmOseRphL4DLmsoMJ/w6u0zeNOHXj/wguq9AtWIduxzZsF/YRe3F6fBD3BCO8U03wzjTBPeMwDin7sUzYhXnMNszjdnAj4Tssk/ZjnXIYuzRj7NNNsEszwTbFCOuEg1jE7uNm9F4sHu3F+tE+7KIO4hJjjGfcUfyTThKcIW8TH+VdJyrfgugCK6ILLXlcbEVMiTWxpaKsiCu3Jr5CnCTayFeQ1diTWmff7GvZkdH0j9ISwwLlSsv5S9RBbsC7Sy1hyUdPSj96UvLBm+LvBbTuUvIhnNIP0ZR+jKfsUwoVP2RQ+VMO1b9kS1X5azblv2RS+nMaxT8mkv8xlqz3D0l+FULcUz8iGpwIrbnJ7YqL+JWdwqfUFM/S/biX7MKteDOuxWtwKVmGa+k8XEpn4Fw6Cdfy0bhVDca9ug8eNT3xrNXHq15PKu8GPbwbdfFpFODqToBQXE+GE/JkLCF1kwipNpAmot4pXk1Q3iaCMnYSmHgAvygjvO+b4Bt2gqCIM9yLPk9E7AWiki4SlXyOh0knCU8+REjqbm6lrMY7ZS4eqZNxzxyBa64+jjmKmEdqs9+8B+t29uGQ4Sy27hvH+h3DWbamL3Nn6TBhtCoGM7VYv7w/2zYMYeOugSxe35XFU7qzas5ANi0byKYVA1hq0JNhfdSZMFaD7npt6KrRip7qrRmm24ZFY7VYPrkL86Z0ZvEKfeYbdGLZxC6snanPyqk6zJmowcpN+qxYr8l3e/VxtJ3F2YPj2GrQE4N+HRik9S1DNGWM05Uxt9+3rB7XVvK3ds7XYe+yTuxf1pE9C3XYOrMzK8ZpMW+wEvMGKzJ3gAIzurdhQueWjNVrxajuSozoqcrQXioM7qtMv16K9OjaloEDWzFzaVs2mrZlu1lrNp1QZtNRNbYe02TXyS4cPNeDIzd7c9KpO6fcu3PSvTvH3btwwqM7Zj69uRrcB9v7/XB+1BeHBz25fqcH5/30OeHelWNuehwXf8dTnxOe3TjuIUCmxzG3rhxxEWDryjGXLtLzERfxnT6mLj054jxAAtj1YAPcY1ZyJ2sbjysOkvb0qNQSlnwUaktMVD3bfBXoDIXvz3zVMgrVdVoCV/YLM2ncd0YzuFKbzpDceIbkOjGMUiwYPs3X4BJGvXS6+G/gkk4VU45KHpcAl7c4VRTXfoTHFS5aRWPsg0WWy5TP4LKQwCUUlyGXXYy55PTZoDfmnLURZpZGUixCahXNjTn+3xSX9f31WIdvwvbBNuwf7sIxag+ucQfxTDHEO/0w7hmHcErdi3XiDsxjN3I1biPX4rdyI3Enlsl7sErdh3XKfqyS9mGZsBfLuN1YxHyH1eO92D4+IIVN3eJN8Ew4jl/SKW6nmhEqnSZeJTL/BlH5N4kutCK6SIDLkpgSobTk8Qe52hLQsiWx2lZSW2IFWWqDHWlNdmRILaJcaQlfq0AY8W9cKHwnog6iPfzcGnpK7WHpRx9KPgRI0Cr98JCyjzGU/5BC5Y8ZVP+cR80vxdT9Vkbd72XU/lZG9W+lVPxaRNnP+RT/mEnBpzSyvk8g9XUU8c/DiGz0J7zWjTtVNtwqN8e39DxepSfwKDHGvXgfbsU7cBUAK1mFS8kiXErm4FI2FbeKsbhXD8Ojpj+etT3wquuGaBe96jvj1aiDT0NnfBv1udXUXwLX3SdjuVM7ibtCcVUu4U7JWinZHZy5h6Dkw9x6bIrfg2P4h50mMPwcdyIuEh59mUfxl4hMvMDD5NM8SDMiPGsfwRlr8Umbi1vKBFzSBuGc3RmHnFZcfaTO9vOdWbxOnx07J2NyYgm7D01h7aZhLFwoBgRqMXqEInMndGbF4l6s2NSTiWM6sHhcF9bO6cumRf1YPL0rw3oooavShnEjNeim345eYhRON0WG67ZlfA8llkzoynyRsJ+ry5JVXTAYrMSySZ1YPrEjM0aqMH9hR9Zu78SmzdpYX53Fhf1T2WnQl7n9Vemv+i39Vb9hvG4L5vdrxapR7dk4VZ3vFuiwvxlcu+Z3YsPUjiwapca8IcosHKLEvAHtmdq9DWN0WzGiq8ijKTNioCajR2oybpwmo8eqM3hwB0aOV2DWagVWG7Zm3XEZ6058y85LyhhaaXHCSY+LXn25fnsoN+8O5fLtgZz06oWJcw9MnHpw3K0XF/z7YBnaD+eH/XCJ7INNeG+uBvXAzEdPgtdxd325ynIX73ocd+vKMVddjrh05ohzc4lnl86YOnfBxKUrJs7dMHXqzXHXQZz3HcvNOwZ4xKwkLH8XSXUm5L85Q/FHecsoohEi01Xw/vQ/4Hp7hlxJdZ0m54UZWc/OkvFUrrpSvxj1p6VJuonVAlxnviguObiE4vqnVQzNNJXiENKpYuIRSXH9O7jkraIxtl+BS664/hNcF+2Ez2UsGfRnLIw4fcNIahVFJOLrn/8IoNpErsD20WrsHm3AIXILDtFiNMVu3JPESu8DuKfvxyn1O6wTNnMtdi1XYldjHr+O64mbuJm8FYvkndxM3MnN+J3ciN2BhRjdGrMHu9j9uMQb4pl0RLqTKK73BKae5W7mBcJzLvMw35yoghtEF9yUoBUtJncWWxBTaimBK/6z2qqwIbHKlqQaW5LrxNJXO9Ia7Uhvsifr6Wcz3gnp9PCNCJUKaLk2e1qiPfSg9JMXAlqlHwIp/RhC2cdHlH9KpKIZWLW/FlP/ewX1f1RT/0edVLV/1FL9WzWVv1ZS/nM5JT8VUfBDLjkfMkh/k0Tii2iim8J5UBdISJU7tyvs8S+7gU/pZbxKzPAoPopb8WHcivfhWrwdl+J1uJSswKV0Aa7lM3GvnIR7zSg8agbiWdvnH3gJcDXqNIOrH0FPhkoni8HVAlxzuVu5jLslG7mbv4s7WQcITjHmdsxR/B+cxD/0LAEhFwgKu0xY1FUiE64RlXyJyDQzHmWZEpG3n5CcdfhnzsUjbSzOaX1xzOqEfY4M82hltp7XZM4KXb7bO41zl3axccdU5i8dwJyF+oi4wvhRKkwYoIiBgTbzVugyum97pvRRYd4YHWlMzZheCvTTbEGfjq2ZPrEjvXoq0ke3PRMHqDFtiCqDOrVkdHclpg3SYNZEbTbs6sOsUYqsmt6ZtTP0mDdOE4Op6mw73It169Q5YziSk1vGsH1aD+YJxaX2LQM0vmFqj1YsHdSO1eI+4hQtds7vzO7FOuxc0JENMzRZOk6dOcKDG67K/KFKzBukIM3nmtxLgQm9FZkwXI1Zc3VYvb072wx7sOFAV5Zu0WLJNhXWGSuy42IrdpjL2H5Fxu4b32Bkq8AJNw0u+uthEdIXm/tDsAgbypWgwZJfZeosB9hp7z5cC+6Pw4MBuEX1xzGiDxYhPbkY0I3TnkJxieoiB1YztESLKKBl6tRJ8sOOOOtwxEkXUyddTFw6Y+KiIy/nrhxxFkb/EM77TsDp4RJCc3aQVGdM3huRAzuHMPDlk1Pl4BItY97bM3xpF1+Ykf38LKJdFPAS8YjPua4USXWJdlGuuj77XOIOowDXw+ZTRcmcTzOVxyEEuOK+UlzNraLjPWPs7wpwmXxRXDd9jJs9rmbF5SxXXHJwyU8WP4NLRCL+O7hi52MXswT76FU4RK/DIWYzznE7cEv8Do+UPbin7cYxeRvW8eu5FruKK7HLuBq/gmsJa7metJ7riRu5Hr+J67FbuB6zDQtpsP5unIRqSzLGN/UY/mknuZ1+Vpq5FZ5zlYj8azwquC4HV6EAl4CWpdQeihZRKC4JXCICIYHLhqRaW5LrbUhttCW9yY5M4Ws9syf3hWgR//X0UFJa3wtouUvtYelHX0o/BlL64R7lnyKp+CGRyh+zqf65mLpfy6n/vZrGP+tp+KOJ+j+aqPuzkdo/Gqj5o56q3+so/62Gkl8qKfyxlNyP+aS/SyfxpRikGMXD+jDu1QQSXCluFDjhW2qNd8k1vIov4FF0EvfiI7gVH8S1ZCeuJZtxLV2FW/kS3Crm4V45Dc/qsXjVjsCrrj9e9b3waujW3CoKxdWH20+GEtw0ltvVU7lTOZ+75asIKdlOaMF+QrONuJt6jKDYU9yKOIt/6HkC7l4iONych3E3iUu3JDbTnMdZ53icd5TIogOEF27kdu4CvLMm4JIxAIcsbWyzZdJa+V3mWsxYqsOWnRO5fvMwm3cvZsqcAcxY0IWVG/RYsagXS2brsXCNPpNmazOstzJ9NFozRLcNg3RaMKxLayb26sCUQe2ZPVmdgQOU6a7djnH91VgwuRMTBirRU60FfbRaM2GYOvMW67BqlS7r5+mzYbY+q6bpMn+aFt+Z9mf1OjUO7+zJ7sXdWTVKnVm9WzK8o4wRnb9h9oDWLB/WnlXDldgwUYNtszqzfXZn1k/XYsl4DWYOU2X6EGXmDFdn7jBl5gl4DVHGYJASBsOUWTBLnR2GnTnj3I0bd7pxKVCTMx7qHHdtz0lvGWduyzgTLONEgAxTDxlGTt9i7NiGY64dOOurydUgPSzD+skBdm8k5wMGY+reg2MeAlJ9sb43ENdIUX2wDe+NeVAPzvrIoXXErTNHmlWWqXNnTJx0MXbUxchRB2NHHUwkgAmIdcLEpSMmLpqYuKhj6qrFUdeuHHXthTDxz3mPxunhIkJythNfc5icV6cofH+Owg8CXmco/GLSy8GV98WkP0vW83/AJUz6VOF1iVCqMOklr0v4XKckg14CV9FRaVLEl1PFL+ASp4r/gMstwkS6aO14zwi7O0bYBBnJweVvwnUfY8wlc96QK6JVFOCSEvSf81xGnLEwlBSXvF00+lpw/WcA1TZxFvYJ83GMW4Zj7Boc4zbgHL8FV2lF9y5cU7bjkLQZq7h1XItZxpXYJVyNX4Z5wkrM49dwLXYN5o/XYR61kRvRW7CO2YFD7G5cEw7hnWKKf/pxAjPPcDfrIvdyrkgniQJakQXXiS68weOim0QLpSVaxFKRkhdlLSXl5Wl5axIqrUmqtSal0ZZUqUVsVlvPHch96UjeK2fyP7eI790oEieHErQ8KG024ks/hFL+KVqCVtVPmdT8UkTdb5U0/F5L458NNP7VRMOfT6n/8zn1f76g7o/n1P7xnOrfn1LxaxMlP9dT+GMVOR9KSHubR+KLdGKaEqThiffEVu7KYALL/aVpr74ljngXW+JZdAX3ovO4SQAzwq1kP26l23EtW49b+XLcK+fjWTUTr6pJeNWOwqtuCF71ffFp6C2Z8wJcQU+HENQwlttV0wiuWMTd8vWEFu/mXp4RYVlHCUk+SVDMWQIfXiAw/BJ3H5gTEWtJfIYNqfnWpOTfJLHgIvEl4i7aYR4Ub+Fu4RL8cqfgljUQxyxtbLLkM6n2WmkxeoYqY8focuXqeg4dXcL8FUOYv7IbK9frs3SePlu2D2LBxh7o9miHqmJLacDg5P6KjO7ehulDVFk8SYcFE7SYMUaNsaM16KHZiuFdFVg0UY8lkzszqFNrOim2oJNqS/r1U2D9vv6snKHDprl6bJ7bjaUzO7J+R1fWb+/E/t16bJjTifmDOjC9RyvG6bdgSs8WzBvcWtrss6BfO1YMV2DLRHW2TdFk42Qtlo7VYNpgFcYPUGXmMC3mj9ZgwWhV5gxTZmr/9swepcTGjVqctNHCJroNntky3LJlOKaIUc0ybMVnqgzbdBlWYlJElIyLd7/hpNe3mDjKMHFsyXE3Rc75qXM9RA/7yME4RI3B/M5wTnn15Yx3L64H92tWXf2+qK4L/sIP08XUVcBIB2Pnjhg5dcLQQZtDdjpSHXbohJGjNoaOGhg5qWPirPmlBLiOuGlx3ENT3ma69uWs1yhs788nKHMLjysOkfn0BAXvzCgS8PoCLjPy35ghwJX70kzeLkrRiLMIryu98Qxpn8FVexp5uyhOFuVJ+n/AZUp4jgmhmSbcSf2suD6Dy6Q5Of81uAyxCTKUwGXxNbjcRCRCgEsk6IVB/7lVlF+4Ftd/Tl034vhVw/8dXA7J03BMNsAxaT5OictxSVyNS8IG3JK24pGyA/fU7Tglb8YmYS034pZxNW4hV+MXYh6/BHOhvh4v50rkSq4+Wsv1yE3YPN6JU9x+PJOM8Es7wu0MMW9LXKS+QniuOQ+k6z1ycEU1q63oopvyNrFEeFyWX9rFuHJL4iotSKiyIKnOWmoRM56I+IO4zvN5g4+j1CYWvhXelgtF750p/t6FMsmM96b0wy3k0Iqi8ockvkDr10rqf6ul4c9GGv94SuOfL2j86zWNf72l8e93NPz9jrq/3lL9x2vKf31B8c9PyP9UR9b7ClLfFJL4PJvYplQi6+O5XxNFSOV9gstDuF0aSECJt3Qdyq/YHu9iC7yKL+FZfAaPkiO4lxzCo2w37uWb8ahYjWflEjyrZ+NVMxmvutF41w/Ct76//FSxqQ+BTcO4XTeB25VzCCpbxp2SDYQU7CY0x5B76ce5m2BGcOxZgqMuEhIpoGVBXJot6QWO5JTZk1VuSVrZJZLKTxBXaURk+Q7CipcTWDAdz5yhOGZqYZ0p42aqDENXFcYvVEVPty27to/i5Jm5bNg2Wrr+M3VGR3p2ay9d+Rk3XZuePdoxsr8KSw26sWCSNjOGKLNogg4rZnRl7ihNxvRSZM5MLfp1as1ArVbMGqrF2jk9mDSgAz00vkVT4Rs6abdj2bZBTBjUjnnDFFg6QpkFo5VYskyNrQd6smdPF1bO1sJgQHtm9WvBrAEtmT24BTP6tGCy/rdM6dqCef3asG6sEjunqbF5mlBcmkwbpsaEIerMGteR5TO0WT5NlTnjFTCYosCqdSocuqDCleAWOKbLcCuQ4ZovwylHhkO2vOyzZdhmybDJlM/pEjsYL92TcdqvJUdcWmHq+C3H3Vpy1k+Za6G62EcNxjlqDBb3RnEhYCAX/fthFToA50f9cHnUD5uw3lwJ7M5pT2G+d8TYWRtDJ3UOOmiw306dvbaa7LPWYr+NBgft1Dlkr4qho5oEL2MBL0l1aWLqqsERNzWOuXfiuDiR9OjNGe9RWN6bw63UjUSX7SPz2TEKhPISG7NFq/hOBFLPkP/6DHmvzjZHI840m/QikPpPu5hUd0q6CiRiEZ/BJSIR4upPRL4p4bkmUnI+OO0IgUmm+IsTxVhjvKJN8Ig0wTXCBOdwYxxCDb8oLpGct/A35sZnxSWBy4iLLoZccDLivIMx5+1MOGttzBlLI07fFFkuE06Y/xfF5ZQ6CafUKTinzsY5ZREuyStwSVqDe8omPNO24ZG2Hde0LdglrcMifhnXBLji5nM1bgHmjxdzJXIJl6U1RKuxiNqEXcxOnOP245Vkgn/acYIzzxCSdYl72VcJz7nGg1wxukZkt24SVWhFVKElUYXN/laJBbFlFsRV3CC+6gYJNTdIFMtN626SXG9JaoM1aU020mni58CpiEDkvXSWUvFyM95N8rXKRHsoPC2htD4KpZVE1Y+Z1PycT61oD3+roeG3BglaT/56xZO/3vLkr+958vcPNP79Aw1//0Dd3x+p+uM9Zb++pujn5+R/aiTrfTWpr0tIfJFH7JNMohqSeVAby72qKO5URBBcfo+gsmACS/24VeKFf4kzfiW2+JbcxLf0It4lZ/AuO4p3xSG8K7/Du2ozPtWr8K1ZiE/tDHzqx+JbNwLfhgH4Nw7kVsNIblVPJrBsHoHFKwgq2Ehw7nfcyTjE3eQjBMedJjjmLCGPL/Mg/iaxqXak5jmRW+FKcZ0zhfV25NZeI73GjKQaEx5X7uJB2UqCiw3wyR+BU05nCVwWaTJO3lJl4faO9OjSmjlTNDE5NJEdu8YzaaouQ4aooq+nwMy5nek/oAODeimxaJoeO9YMYsfqAayaKc9jrZimz4QeCpKftWShLgN129BfrSVT+iixcoYec8foMFCnDd3UW9BTtx2Tp3Zm1nh1Fo5VZ/W0TiyZoM70CQrsPT6Ynbt1WbNAE4PBCswe1JpFI9uzcHhbpvZsyWidbxir8w0GvVuzZpwKW2dostFAhxXTu7Jgsi5zp+iyaqkeO3Z25rsDmmw/rMzOUwocsVHk6p1W2IrRzNkynPJkOOTKJJ/PLkfG57LNkWGTLcMqXQwFlHEpQoZZUGuOeypi4tyaI84tOOn5LecCFLgWoovtw4E4RY3B5sFYzO8Mwzx4AA73B+D6qB8OEX24caen1C4KcBk5anFIQMtWnT3Wanxnqc4eS3X2Wqmzz1qF/TYdOGinzGHHDhg6qWHsrC61iyauapi6qnDETYNjHpoc9xQnmv047TkMyxADObzKD5Dx7Jhk2ue/E3mu5kCq8LpeCcUlMl1nyHomvwYkohHSNSBp4KAAlwikysH1xZyXWsXPisuUoFRTObgSRBRCDi73SGNcHxjjFGb0BVzWt42xumXMTZHj8m72uCRwGXLR5TDnnQw572j0FbiM5eBqTtB/Lbn+w5x3yhiDc+YEXDNn4JYxD9f0JbimrsI9bT1eGVvwzNiGW/pmHFM3YJW4nBvxCzCPm4t57FzMo+Zz5eECrjxYgtj+YRm5CfvHO3GNO4BXoikBqfLoQ6hY4tAMLrEIQ8ptSSeJ1lIEQjpNLL3ZDKzrJNSak1h/laTGqyQ3XSG56Zo0Yjn1yU3SnlqS/tSajKc2ZD2zI+eFgzSeRkx7KBRtopSK96akOfIgTg/LP8ZT8UNas6+VT/XPpdT8UkX9r/U0/P6MJ3+94enf3/P07x958tcvNP39Cw1//0zNXz9S8cdHSn59S9FPL8n72CQH16tSEp4VSBu+oxpSeVCXQFh1LCGV0dytiCS4PJygMqG+gggsCUAswb1V6kxAmTX+pdfwL7uEf8VpAqpM8a86hH/1LvxrNuJXuwz/+tn41U3Br2Ek/vXDCKgdjX/lFAJK5hFQsIJbuRsIzNzF7ZQDBMULY/4EwY/PEhZ/hahUS5JzHcgpc6OkwYPK525UPHeg6KkFOU0XyGg6RmLtXqKr1xFWMZ9bJeNxLeiOTXZrLDJkXAhXZPPRzgzq246Jw5U4sGMk27ePZeyEzvTuo0L3Xh0YNlqNPr3bM6KXkhQc3bNhMAe3DmPb8j5sWtSb5VM6M6ZLK4bqfMuaNXpSGHWYdkum92vPCrG6bEoXpg1UZcYwDaYO02RwTwWmjFZj+khtlszQZ+n0rkwe3oE9xwaxeaeOtERj+lAlpvRpxYKh7VkwpA2TurdiuPa3jOj4DTN6t2HNeFXWTddizayurJ7Xk1WLurNugx4HT3bjjG0nLngqcSGgNVfDZFjFyLBPleGYJcOhGVQCUsLnE6D6Up/BlSbjmhhh81DGqdstMfVoj6GzAsZO7Tjm2oZTXm04F9CBK3c6Yf2gP07RY3CMmozVvZHYhg/G6eEAnCL6Yh3ai0sB+hxzk7eDh+y02GetwW5LdXbdVGf3TTX2WKiy10qVfdYdOGCrwkF7JQleRs7KGLsoY+LaAVNXNbnq8lDmuKcmJ7z0OebRm9OeQ7G6N5tbaRuJLNtLWtMRyZT/DC/JpJfaRXkgNeuZPBohz3QJ1SWGDf47uMRla3HRWkxCNSE8x5iQzM/gMsE/3vgfcIkJqGKQYDO4bIONEOASd6Hl4GoOoP4buM79C7iMOG0hz3IJg/7rn/8Al0v2SFxzxuKWMw337Nm4Zy3EPXM5Hhlr8MraiFfWVjwyN+Ocvh7b5BVYJCzgetwsrsUYYB45hysRc7l6fwk3IlZhE7kZh+jvcIs7hE/iUW6lyKebSm1iztUvSXkp+vClJbQgtvwGcVXXiK+5SkLdZRIbzpHQaEZi0xmSnpiR/PQ8qc8ukfZcTG24RsYLMX7mBlmvrMh5bUfuKzHdwYG8t04UvHOl4J0nhe9uUfQ+hOLvH1LyIZayT4mUf0ql/IcMKn7MoeqnYgletb810vjnK578LdTWTzz561ca//6Nur9+pvrPHyn/7SNFP78j/4cX5HxoJONtNSnN4HrcmE1UQxoRdUmEVydwrzKWkIrHhJRHcbf8IcGl9wkuDSWoLIjbZX4Elbtxu9yRoApbgipvcLv6Irerz3C79giBtQe4Vb+NW/Vr8K9bhH/dDPxrJ+BXPR7fiin4F83FN28p/lnr8U/bRUDiAW7FGHI75hghcWZEJF8mIceSrFJ7iuvcqHruRf1bN+reO1L+2orCF5fJFTPJnxwiqWk70fUruVdlgE/pYOxzNbDMlHElsi37rugzdqwKY4d24LsN/dm7ezwzZ/dBt2t7FJW/QadrW4YMVmREDwVWTdZl39oBHNgygL3rBrBrZV/WGegwo08bJvRozcb13Zg2QoUZ/TqwfKw6a2bqsGa2HusMurB5Xk9WTtVjSLf2DO7Xnu46bejXTYmxgzQYO7ADm3Z3Z8POzmxYp8ukIYqM6tqSOf2Et9WGCfqtGKrdghE6LZgzoD1rJ2iwYrIWy6frsmpBNzZu0me/mS6X/bSxi2qDc7IM53QZrtkyXHNkOOfKoSWpqiwZ1tn/Vp+/E96fGOksRld/73cAACAASURBVDJHyDgR2JLDbu3Y79Cegw6KmLgoc9xdgdPeCpLyuhSkgdX9PrjHjMMjZioOD8fi+HAozhEDsAvrjfntbpzyECZ8JwS49ltrscdCk+9uaPDdDQEudfZaqrPfRo0DtqoctFfmkEMHDjspYeSiiLGrolxxuatx1FOZ414qnPDW5qRPV457itjFMCzDDPBPXU9k6V4yngrlJVRXc8v4OYz65XTRTAqjfknRfwGX/OK1GDAolmk8LJCDKyz7H3DdSjTBL84Yb5HPjDLG7aHRF3DZhxzGNthQDq4AAS4jrnsbcc3TmKv/A7jO2Rpz1qa5VRTguinuLP6XVtE1fzju+WPwyJ+CR54BHrkL8MhZgmf2KrxzNuCdsxmvnK24ZW7GIXUlVkkLuBFvwLWYGVyNmsXVh3O5HrEESxGpiN6C8+O9eMQbEZB8QhpbE5pzkfC8K0TkXyWq6IbciC+zIFZqB28SX3WNhJorJNRdJKH+HPF1p4mtO0p0nQmP642IbTSW9h0mPTtNyovzpL28QPqri2S+ukz2m2vkvLEkVypr8t7Zkf/OiXzpIrUfhe+CKXx/j6LvH1L8IZLiD48p/hBDyYdEyj5lUvFjEVW/VlH7uzDmhb/1gYa/fqLubzm0Kn7/SOkv7yn66RW5n56S9X09aW8qSXpZTNzTPB43iVYxjUd1STyoTiS8Kl6CV2hFNCFSRRFa/ojQ8ghCy+8RWhFEaGUAoVXehNa4EVpjT0itJSH1V7nbYMbdRlOCG/dyu34rt+pXEVC7AL+qWfiUzsK3YD7e2cvxSV+PrxjXHL9fAted+BM8SDlHbLY5GSXWFNY5UvHclbq3HjR+cKHxkwM1H6wofWdOkfgf+I0pGS/3kPhsI1ENiwiuGotboS7WWTLMY9py1KEf8xfqMWZoB9bN78T+naNYv340w4dqoqLQks6dWjJ2jIp0f29uf2V2LenF4c0DOLBhAAfWD2LH4h4sHKzImM4tWL1Un+kj1Fg8UoMdc/XZPFefTfN6sHVhT7Yv6suqaXoM7dueiRO16KTVGnWFb+mo3IJeXVoyf742G/d0Zcu2Lkwf14Fhut8yb0ArFg1uw5RebRjRWZj1bVg2UpmNk7VZNUWH5VN1WL2wM7sOduWimx6OsR3wyJbhni/DJV+Gc94/XpbkYwlgZcqk/3arLBlfl3WO/P1miowrj2WcDfuGo/6tOeDShr0Oiuy1V+ago5rUwp1wV8LMR4ELAR24HKSGRZg+brFj8Y6biXv0BJwjhuIQ1o8bItPl1UWKPRwUvpaVhgSq3ZLi0pQgts9KiwM2mhy00+SgowaHnNQ57KyKoYsyhi6KmLipcMRDXQLXMS9FjnurcMpXldN+Opzw7s5p76HcDDUgKHMTMRWHyH5+koK38mtABSLTJYVRvzbpxZBBMTVCfgVI2gpULYYMirHO8vVlnxVXmDjFzjDhdooJX8Albtr8B7jkHpf1bUMsA4z+F3AZIRSXHFxGco9LZLkkn+u/gMshtxcu+YPxKByLZ8E0PPNm45m3AK+cZfjkrsYndwPeuRvxyN6AU/oqbJMXYpEwixvxM7j+eCbXI+dgGbkEu8drcIrdgmfCHgJSTbiTeYrwvHNEFFzkUdElokqu8LjcnLjKayRUXyNJtIO1l4mvOUds9Slia44TIzyY2sNE1e7jUc13PKzZwaO67UQ17CKm8QBxT41IfHaExGfHSHp+itQX50h/eYnM11fIeXed/PdW5L+3If+9PQVi6sP7r+8iBpP35g65b0LIe/uA/PcxFH1Ko/SnPCp+qaLyl0Yqf31O5a/vqPjtHWW/vKH059cU//iS/E/Pyf3QROa7GlJfl5L0vJD4J3nENGUR1ZBBZH0qD2uTeVAjB9j9qnjCK+O4XyUqlvtVMdyviuZB9UNpCUlE3T0e1t/hYUMADxu9eNjowoMma+4/uUrYEzNCn5hyt+EAQbXb8a9cg0/JMrzzluKZuRKvlI14JWzHJ2YvgTGGhCWf5HHWBVKKb5BXY0PZEzuqXjpQ995JglbjT3bU/2RN9Q/XKf90npKPJ8h9f4C0V1ulyZwP6mfgXdoH+9yW3EhQ4Ix3X9Zv78+EESosmqTKlsV67Nk8jNVLBkqqaFD3tkybos7kYQpM02vFtunaHFrVgwNr+3BgQ392LdPHoG9rRmnLWLNUn8kDOzBZvw1rJ2uxc1E3Ni/oKQFs5fhOTO+nythhHRgxSpUu2i3R7NACDZUWdNJuyYjhHdhh1JvdB8RppjpjerRg9pDWzBnciil9WjOhZ1sMBiqwaqwK66Z2ZNnUTpIRv3FpRw6b6nHDXxfXJBluOTJcvgKWXVaz8S5U1VewEopT1NfwssqQb7y+FC3jdKgMY99v2efclj32cnDtt1fmgIMKJi6qnPRU5pxfey4EtuFisBJXQ3RxiByOd/xMvGOm4/RgJBZ3+3LBV1zv0eGQrbbUKgpfa4+FCrsltaUpqTABrQMOGhx21JRMfGMXdUxcVSRomXgoYeqpiqmnMke8FDnqrcAxHyVO+Klyyl+LUz49MfMZhd39+YRm7yS+ypis56fIfyv3u6T7i6/FFaCzZL04R0bzFaB/wCWmRYjN1/Kt15FFR3lYYMr9PCPuZRlK4ApMMSEg0RhfobgemyD5Ww+NcX5gjGO4EXahhtjcMcTqtjEWt4y44WfINW9DrnkaSorrsqshl1yNuOhsxAWpVTSW4HXG2ohTlnLFJQz6r3/+o1W0zdLDIacXLnlD8MgfJ8HLK38uPnmL8clbiU/eOnzy1uOdux73rDU4pS/FNnkulgkzsIidjuXj2djGLsEpYS0eyVvxT99LcI4R4QUniCg+w6NSM6LLzhJTeYG46osk1F4isV6oqwvE15lJwIquNiGy+hCPqvcSUb2N+1UbuFe5hpCKpQSXLSS4dAHBpYsJKV9FeNUmCWjRDfuIf2JMwlMBsZOkvTpH1psr5Ly9Tt47C0l95b1zJO+tM7mvXcl66Uz6C2fSn7uQ/sKbjFdBZL+NIPf7ePI/ZJH/oZCCj+UUfayl6Id6Cj/VU/CpgbwP9eR+X0/WuwbS31ST8rKMpOfFxD8tIKYph8df4JVGZH0yj+oSeViT0FzxPKpNJLIuiai6RKLrE3jckEBMYxwxT6KJefKI2KfhxD4LJuaZP9HP3Il8ZsfDpzd40HSRe/UnCa46zK2SXfjl78AnczteyTvxituFT8w+guKNiMg4RXzeBTLKr1NQZ035M1uqX9tT/8GBxh/tePKrLU2/WVH/6zWqf75AxY+nKfpkTM77PaS83ER00wICq4bjXKCGZYoC5253Z4fhQKZOUGHhRBVWTuzAlgVd2b52OGOGqjJrgjYL5ugwe4o6swYr8d0CPQ6u6cbBtT05uL4vB9b1YcPMrsweosTGtbpMG6bEeJ1vWTJMQfqz2xZ1Z+NMXQz6tmd81zYsMNBh0AAlBnVXQF+7NRrKLVFVbknXLq3YvK8vu/brs265NtMGtpHANXtoa2YNFqeQSiwbq8raSWosn6TGQtEqztJi8zotTM10sQjSxilRhlOWDMfmE0MBLRH9sBKA+gpSAljC4/t3eFmmi8UZMi5Gyjh1V4axTwv2u7Rnr0N79jkoss+hA/sdVTjkqCKB5YRXB875K3IxsD0Xbylw8ZY2FmGDcY6eglvMdOweTORq4DBOenbD0FGTfTYa7BY+l5Uquy2FvyXaRHGyqCmZ94ebYxHG4lTRVQNTNzVM3ZUlcB3xUuOot4oEreO+ypzwU+RUgApmAV0w8xvMpYAJeMauJqJgH6kNxyh4c5b8d2clgOW+NiPn1VmyBbyen/sSRhXwkk9HFVNR5Ruvv4Ar15h7WUJxmRKYbIJ/ghxcXo+NmsFlIgdXmBF2IYbYBAtwGWIR8D+Ay82IS66GErhEluu83f8PcNlkdsEuqxuO2b1wzh2Me/5ovAqm4VswF9/8JfjmrcQ3bzW++WvwyVuDe/ZyHNPmYZs0HeuEKdjGz8QhcSHuKavxzdxKcN5eQguNiCg7yqPyYzwqP0qkoHf1CeJqT0mtYFz9SWLrjxFTZ0JU7SEeVu8hrHIbIeXrCC5dSmDxbPwLZ+BbMBGf/DF45Y7CK3csvgVTCCyay53SRYSUryS8agMPqrcQUbudqPp9xDWZkPTsBGkvzch4dYkMaQyzOWnPxNLXKyQ8uUx8k9ifeJ2Ep3YkPvck6Xkgyc/vk/IimrSXiWS8ziLrbT7Zb4vIelNK1ptyMl5XkPG6mvRXVaS+rCD5eSmJz4qIe5pPbFMOMU0ZPG5II6peACqBRzVxPKyJ41FtvPT+uD6R2MZk4ptSSXiaQdKzDJKep5H8IoWUl/Ekv4wm+WUESS/vEf8ykLgX3jx+6kpkgzXh1VcIKTMjqPAoAdnipNYYv0QjAuKNCU05TmS2GYmFl8isuEZBnQVlz6ypeWtHwyc7nvxix/M/bXj+lyVP/rxOw++Xqf3tPOU/n5Q2zmS+20X8s1WE1E7Ao1gfmwxFLoV15sDZQcycocmc8SosGdaW1eNU2bFqAIvn6rFmoR5zZ2gxZ4YmCydpsnd5Lww39cZ4Yy+MNvbmwLre7Fzci+WTtNi8qRPzJilLl5zXTtRkz+IebFvYk/UzdaUJDXOGKrN+bXf6d2/F6GbDv7NGKzootkBV5RuWruvGlt16bFzTEYPhbZk1pA1zR7Zn8dgOrJ6kxkbpJFGLVdM1WDpdgzVLtNhzsBOnrTtiGa6IfZIM+0y5wrIVOxSbVdZnUH0NK/EsvQuAZTS3iWkyabPPhUcyTt4R4GolB5djO/Y5tmO/YwcOOKlywEmZg8JAd1PhlLcKFwIEtNpy1l+RUz5KmPl34erdwViEjedG6HiuBI3CzHcwR9z6ctihG/tsOrHXSoN9ErjUOGCnymEHNQ47qWPorI6RpLg+g0sNUw9Vjnqpccxbjc/QkoOrLWa3tTkX2IdzfsOxCJ1JYOoW4ipMyHkm8lznyH9zlrzXZuSKaEQzuDKfnfvidf0ruERouVlxSeAy4U66CbdEYiDBGJ9YI/4BlzHO940R4VPhcUngCjSSg8tXrrjMheJyN+KyBC6jLyHUf8BlzCkrY05ZmEgTUf9XxWWXpYcoh2x9Obyy++OeNxrv/On4FszDN38xvvnL8M1fKZVX7hJcMubikDwd+8QpOCRNwzV1Ht6ZK7iVt4m7RbsJKz1ARIUhDyoOcb98Pw8q9vKwaj+RtYeIqjUkqv4wUfX7iarbI6mn0IoN3C5Zhn/hLHzyJ+OZMwqPnGF45AzFPXuQtFhTbAX2yh2OT/54fPMn45c/Bf+CGQQUGBBQOIeg4iWElq0nonoHj+v3EdtoSGyjiVQxDcIvMyaq3ojI2oM8ErCsPUJErRkPqq/ysMaeyFoPoutvE9f0gKQnsaQ8Syb1WSapz3JJfV5I2osS0l6UkfqijJTnJSQ9KyLxaT4JAlwNaUTXJRJZE8vD6mgiqh7xQKoIHlVHEl37mNiGBBKepJH8PJu0l7lkvM4j800umW+yyXybRubbZDLexpH+NorUN/dJenGX+Cf+RNe7E1FlR1iJBXfzzbmTeYWg1AuEpJ0nIusij/OvkFh8pRlcNyl7Zkn1eysafrTh6e82vPjbmpdY8RwLnv19jaa/zan54zylPx8j58N+kl5u4H7DTHzLBuKQq4F5lBZHLQezcJEuBuPUpKDnsiHt2L5Yn42re7NmUVcmixVlk0U2SoVdC7thuKkPR7b0xnRTTw6t68WO+d1ZNFqN9es6snSmKsvGa7J1rj7fLevD1oW92DSnGxsNurBpth7bdvWkr+63jO/ZlunDVBncSxm1Dt+ipPANU2ZqsWGXHus3dGTmyLZMG9yW+eOUWTlVg40G2myf34nti3TYOFebNfM02b61I0ev6HD1lga2cd9gnybDNkOGtQCRCJQ2Ky0BJot0GTebSzxL1fy9eBZwuyH8LbF+TBjzwXJwHXCVQ2uvAJeTAgecldnvpMQ+JyUJXiZuHTjto8SlQGUuBXXgpE8rDjnK2Gv7LUYuGpz20+fi7YFcCR7O5dujMPMZwVG3/hyy7cI+S3mWa7+d8M9UOOSsLGXrjJrbRKG4TNwFuESb2OEfxeXXpllxteLM7Q6cD+7K+Vv9uXhrJM6RiwnL3UVitQmZT0+R//os+a9FINXs/xNc/9oqHpFaxfBcY0IzDbmTZsytJGP8xImiAFe0XHG5RBjjHG6E473m9WRCcQUaSR7Xja/B5WHMFXehuJrB5WTMBXsTeatoY8xpK2NO/9/A1Q37bH0ccvRxyO6OQ1ZPnLIG4iHG+uZPxbdgDr4FCySA+RUswSdPnDrOxjlVBFcnS58eWXPwz19OcPE6Qsu2Ela+g/uVOwiv2Ma9so2SkgopX8u9yvWEVW0mvGYL92u2EF61kbtlKwkoXohvwQy8csfjmTMCj5zBzcASn/Jn8Z1U2SPwyB6JZ46oUXjlCEU2Fp/cyQTkz+F24RKCi1YSUraKUPHvLF/HvfL13KtYx92ytdwtXUFwyVJuFS3Fr2AV/oXbCSwy4k7xWe6V3eRBpTNR1YHE1IUSV/+IhMYEEptSSW7MJLkpl5Sn+SQ/zSexKZeEhmzi6tKIrk3gUXUU9yvDCau4y73y24SW3+JeeQD3y28TWXWPmLpoEhqTSXmWRearQnLflJD3tpSC70so+FBE/ocC8j7mkvsxg5zvk8l6E0/6yyiSnoQRWxdEVKUfD4s8uJ/rwv1sex7l2RBbZE1CiRVpFZZkV1lQUG9B2XMLar63oOFnK579Yc2Lv614hYCXqJs84yYNf1+h8vdTFPx4iLS324h8Oo/bVaNwLejMzXgNTrsNZMPW3iyYoc3CEe1ZNqQNW+dps3l1bzav7Mu0cRpMGd+B6UPaSZMYDq7ricnG7hhv0OfQqu5smaYjXWpetbQjCyepsnikOlvmd2PPqr5sW9SDrXO7sWlGF9ZP78z2XT0ZqNOCCd3asnCcFjPH69BFpOs12zB0uCIrtnZh3caOGIxrz5QhSiydosHaWZ3ZNE+X7Ys7s2dlZ7Yv0WbLUi0OGnbmvEtnrKPaY5/+D7TEvkSrVBmi9RO+lcisiRKh2+spMm6kyrgh3pvrM8SuJ8u4LFaPRcg4GSzDxLcVB90U2O/cnv3ObdnvrMQBJyX2O7WVl3N7DjkrIeB1xk+VK0EqXApqx3EvAS4ZW6/L2G4pY4+djMPOrTFx0+KoRxeOeehjZNcVY8fuGDl14YCDGgccO3DQuS2HXdth6NoOYzcFqU008VCVoHXEW4EjPgoc9VXiuH9rTgYocepWe87cVuRskBYXBLwC+3EjZDKescsJzdlJbIURmU/leS45uMy+tIryPJe8VfwMrugSobgEuEwIzzUiNPMwwWlG3BLhcrG9OsYQr2hDqVV0iTDCqRlcdncPYRN0WGoVLQOMEeC67mOIuZchVyVwGctVl4sxF5vBdd7WBDMbE05bm3Da8v+guOyz9eTgyu4pQcshszcOWb1xzO6PS84wPHPH4503A5+8OfjkzcYrdxYeWTNxTReh1fG4ZU7GO28mgcVLuFu+lpDK9dJ9uuCyFdwpXU6QgETxAvwLDfArNECs2PKTygC/AhGCnIFn7iQ8hMrKHoZ71lDcs4Y0l3ge/m8l/86jGWACYh5Zo/HMHotX9gS8c6fgkztNKt+86fjlzcAvdzq+OdPxzpuOV84k3DPH4pY+Bvf0CXhkzsUnZyUBeTsIzDckuPAUoSXm3C9z4GGFD5FVwTyuDiOm+hFxdfEkNqSQ2JBKfF0SsTWxRFVHElEZKgEqpNSX4BJXbhfZE1hkQ1CRNXeLHQgv8yaqKoT4umhSnqSS+TyXvFdFFLwrpfBDKYWfSij6WEzRpwKKPuVQ9Cmbwvc55Akl9iqJ1CexJNU9Iq4ijLiSu8QWB5FYFkhqlT+ZNV5k17mT1+BM4VM7yl5bU/vRmqZfRYtozSuseI01b7GXPl9gyROuUfOnWPFuQt6H3SS+XEl4wxR8ynpjl67NuYBu7DYczNL5XVk8XoUVw9uxYaYG61f2YN/WIWxe34tF8zsyaXAbVo1WwGi1ngQtk829OLxaX7pHOFLtW1Yu0mb2SGXm9FZg+ywdjDf1Z+fSXmyZ1YWlQ5SZ3keBtZt6M6xbK6b2bceKaTosm9WdUYPUmTpZh/79FZm3phOr1ndmwWRVZo5Ul64HrZ3dhfUCXEu7sG9tF75b3YWda7U5ckoHc39N7ESLKEx4obYErNLkCXihoASsPn9K4EqWYS4qRcb1ZoDdaFZgAlyS4hKt4l0Zpr7tOezWoRlc7TkgwOWsJAFMeF/ixPGAc3sOOreXogtmfppcCVbjUpACJ7xastdGxvYbMnZaydhtJ2O/QxsMXTtw2KW9FHk46dOdS0EjMPMdxCEnbemfc8ilDYdcWnHY9VuM3BQw9myPiVc7TL0VOOqjJG8V/RWawaXE6UBFzgSpcC64I5fu9OFK8Aiu35mCS9RywvP3kFx/jNyX58l9fU7ucYlRN59ndImpqLVidZncnI8uOSKBKyL/c4bLmCBJcTWDK1acKBri/sgIAS5hzNuL1LxoFe8YYnnbBAGuz3GI615GmHsYccXNUJqEesnFiAvOxtLJ4nm7I5yzMcXMyoQzAlwW/8WcF/6WfVZ3qRyy5Irr87t9Zm8cMwfikjUCdzF0LmsMrpmjccscjWuGqFG4CWjkjMM3fzq3iudwq2QO/kXT5S1f7ng8csbinj0K95zh8vo3ELllDsU1cwiumQObawCumaLk726Zg5HXENwyRQ3+V6hljpCDTXxmCoiNkco9a6wEKLFpxSNzPB5Z46V394xRuKYPxzVtGK6pI3FJExCbgkfmbLyyluCTvQb/3F0E5hsTXHiBkGIr7pU486DUm0cVwURXhxNd/YDIyjAeVAQTVuZHaIkrwcV2BBbexL/gEr55p/HJO45P7jH8889wp+g690tdia4KIr7+EWlNSWQ/zyL/VQEF74ooeF9I4fsCir7Pp/hjHsWf8in6KN7F7/PIfZVDVlM66bVJpFbGkl7zmOz6aPKbHlDwJJSCp7cofOZDyUtXKt87Uv+TA09+d+DF3/a8wpY32PMOB95gK7WNT7ku7fYr//UYhT8cIO3tBiKfziawagiuubqYh3fl8NlBLFumy/yJHVg2oh0bZmiwdUM/dm0dwK5t/Vm1Qp+p4zqwdroGppv1OLK9Gyd39+XY9r5snqnJxB5tWbdSi3mjFZnW5VvWjGjHoRU92LagG5tndWXpKFXmjlZlzdZuDO/RmnnD1Vg3S5d1C3pIifyNq/uyZFFnVmztxsrNXVk0S4s545VZNlOb5TO1WWWgxZZFOuxb25Xd67qyb6cOZuadsQpRl+4dSnGHZnAJxfUZWAJan0uASSiuayKrlSIv8fw1uCTF9VCA6xtMfdtI4BLt4gGX9hx0UZSDy6W95H0JcB2UvleW2jwRXTjrr4H5HS0uB6tw0vsbDtjL2Gcv44CjDEOXNpi4qWHkrMphV0VJWZm6aXDOrx/mIeM46tUTQzcVBLwMXRUxcm+NkWcbjL1aY+rTlqN+ihz3V+BEgAKnmhXXqUBFTgcpcDqoLRdCtLl0tweXxCiekGn4J20ktsIEET6Vrv+8NCPrK3CJy9YiDhFfeVQ6VRTgelR0hAf5JoTlCGNeDq4ASXEZ4h1jKIHL9ZEhzg8McQyTg8v27mGsgw2xDDTB4pYxN/yNuO5jxDUvI656GMmzXMLn+jdwnRXgkhSXsaS6/nePK1MPu0w97IXPldVFKvFsl9UFW2HcZ3TDPr03jukDcUofjHPGEFwyhuGSPgTXjCE4ZwzEJXOQBA+PbKGaRknP4jvHjH44ZvTFMb0PThm9cc7ohXN6H5zT+8orrQ/OX1e6/PcuGX0R5ZrR70u5ZQzAXVTmADxEK5s1CI/MoVJ5Zg1FXsPxyBwhlVjsKVXmaDyay1N8ZozAPWM47unDcEsdgYtUAmCjcU0bL4dY+ly8slbjm/MdAXlHuJ1/jjsF17hXZEd4iRthJR6EFrtyp9CO2wU3CMi/iF/eabxzTPHM2o97xg7cMjbhnrEJz6wd+OUKCF7ifqk9UVX+JNSGkdYUQ/bzNHJfZpP3Opv815kUvM2i6Pscij7mSeAq/lBE8btiil4XUfA8n9zGbHLq08lrSqXoWRIlL2IoexlF6cv7lL6+Q8W7AGo+edHwizvP/nThxd/OvMKJNzjwDsf/R9lbAFd9beHbp7hDCHFPIMGluEPx4ITg7g7xEDwQQtC4u7uQhBCXE1eCBYfgpb297a3r85/9OyeUe+/3/e/3deadfXKgnWE6PPOud6+1Nl/jy5d4SuVi618uUrl4+wcrar7ZRsHbxaQ8GUvYLSOuFehx9OpI1m/qz9JZaqwY1501U3uxf/tIdm4ZxsolBsz+QoOJE/qw9AtdHHYPx27nQBx2mmK/w4x9q01YPkOHrVt0Wf5FH5aO6M7WGapYre7PruVG7FxqwuZ5hqyco8v6nUaM7N+BmYO6YTlDk82L+7N2fn9WL9LB1WUcBx0Hs3q7HovnK9YmL5ulwfJZaqyao8bmxVrsstRl5zo9rK31Oe+ng1dOJ/yqlV3x4hZRmW+1lYYfoSUcllIX/wNel0QpKUZ9yj4pFZMV4LIK6c3h4O4cCuoqSQBMlI0StII6cyioB4cCe3M4UIUjgSrSaM7ZOA0upqhyXlk2HvCRscdDxl4vAbB2EsCsgzspABXQW5pFdE4wxSVlNPbhRlgH9cUqpAvWoV0+gss2ogv2UZ1xjO2CU2wXqUw8Ht+N4wldOZ7YheNJXTid2pVzaeqcSzLlfMI4fLMXkdG0l+JH9tS8Eh30n4JL0T1f+uSoBK7CFnty79iT02ynAJfUw2VDQoUNsWVWRBUrwBWaZ0XQjf8Gl3viEa7F23BFlIoCXFHWXIywwU00oYbY4KoM6IXji7ZavAAAIABJREFUcva34Yy3Pae97DjpaSeVi8fd7T7l1n9vh/Cs1kTIq0Ydb6FqdbzEdzXK76t08ao0xLfSDL+qgfhXD1HAqmqYtBbFX/pOgEgBIX/x+ypM8akwwqdSD59KHXwq9PCtNMCvok1G+Fca419hhF+5CX7l/fGvEDImoLI/gVUDCKr+VKYEV5sSUm1KaM1AwmoHEV47lPDaEYTXjiSibpRSo4moG0N47RjCxFk3loi68UqNJaJ2PBG14wivGUOYULUAmSgZxxFcOYaQqrHS59CqyYRVzyG8dgWRdVuIadhHXIM1CU3HSWw6Q2KTM/GNp4lrcCKqzobw2oOE1uwkuGoDgRUr8JcvVAyuy2cRWGFOaPU6YhoOSmVoxt3L3HwQSNGTeMpbs6h6VUDN60Jq3xZS/76Epq/k3PpHFc3f1HHnmwbufN3EnS9vcfttE02vGmh6VUPzmwruvCvh3vsCWr7Mo+WrbFr+kc6jbxN59kMUrb+E8ebPEN4RzJcE8RUBfIOfBK8P+PCWa7zElSd/nJLKxfp/7qbknQXXn08m6u4AvOX6OAePZee+kVgs0GX5pF5YTujCoW0j2bF5OIvm6jJxogpjxvdlxGAVtq8Zyv4NwziyyYzDGwawy2IAS2fqsGWrIavM1dg0S4t9S/Q5tG4A+9cMkG4it803ZMVMbdZuMWTKmJ7M/7yP9IjF1kXGbJxvyJJpKnh7TsXVYyzbDhmxdIEm8yf3Y/EMDVbM0mDdPE02L9Jm81JtNq/UxtZBn4vhavgWyQgQ2x7qleWiuE0U8PrEdUkuS8BKSK5Qm/MSjkuUjP8GLjHuk9IB++iuWIf25khIdw4Fd0U4LwlgksvqJkHrcFAPjgT2liTgZRPcjxORGpxP0MAtuTfO8e2wDZKx86oi89rlIeNQgIzDQoEdsQ7ug51QaE9OxBhyPGogtqG62Ib2xia0G7bKUtE2ohN2UR1xiGnP0dj2HIvvwPGETpKOJbTHKbEjJ5PbcTatD+dSDTiXNISLyVMIK7YkvXEvpY8dqX2t2M8lvQD06v8JXHbcEOBqtEHRfPrv4AovsOLfwKUsFb1SDtMGLuG4rsRYc1m8ragEl1uI6KC3wSXIhrMBtgpw+dhzykuoDV72/3dwuVd1RcijqgeeSrlX9kEhNTwqtPAqFwAyxKfKGD/hmqqVjqlqIL4VZvhV9pdAJMDkW6GDT7k23nJ1vMtV8KlQwbdCTaFydXwrtPCr0MGvQg9/SQb4l5tIEAuoMCKg0phAAS9xVikUVGVMcJUJIdUDCKsxJbx2EBG1g4moG0Fk3UiiGsYQ3TiW6MYJxDRNJLpRoZimScQ2TSKmUaHYhinS5+iGiUTVTyaybgqRdeKcTETtBEmRdROJqJ1EZN1UIuvnElW/lOiG1UTXbySmYQdxjXuIbdhDTP0uouq2ElG7gdAaS2nGUwyq+8un4Fc2Bt/SEfiWjMCvdCyB5TMJrV5BVP02KUdLaT5F5r2r3HwYROHjaEqexVH2IpmKVxnUvMmh/n0hjR9KafpQxq0vK2l+X8OtNzU0vqqi6Y2cW2+LaH6by5132dx9n8ndD8m0fB3Po2+jefpDGC9+DubV70G8/UsBrq8J5Bv8JQnXJYJ6qVz88yz3f7Hn1ncHKP9yLTdfzSTh0RACag24EDuW/dajsFiow5KJPVg+phN7hGPaMoSNaweyYJEuU2dpoKHegQmjVFk5z4Tty0zYutCQpZM0GDeoC5u2mbB4piprpmqww1yfXRZG7Ftlyt6lBqyd1I85w3qwZp0+SxbosNHcWArudy43YstCXRZP6sN5l/G4B4zj8NEBrFqqyYJJKiwU4z0zNdgwX4dNC3VYt0CTtYv6YWOvzsXIrviVKMZ6pG0PtTK8RTuEMudqKxc/BZeUbSnzLeG02iQC+4tlMlzFuI8AV2onHGN7YhOmIoHrcEh3yXkdDu6FgJVCvTgiZVai7OshfbYO7svRcE2cY3S4kKSOW2oPzsR04LCPjG0XZWy7LGOfj4wDATIOBcmwCWmPo+iMD9LCPqQvx6IMOJM4HIcII2zDemMX3ksK5e0ju2Af2RGH6M9wjJHhFNeOY/HtOJbwGccSFZcJJ5JknE7pwLm0vpxPMeBc/EguJk8jsnQ92c2HKX92TLkR9RSVn4BLNJ8W3Bf5lgJcmY02pNeJ5lMrheMqVTguCVy5R/jvUvHwx1JRzCq2bYeQBq3Fi9ZiL1eICOhtOSeBy44zPg6c9lbAS+G6/ge4rpS342pFB6U6c7W8C1fkXbki783Vsr5cK9PAQ66Nd6WBJN8qQ/yrTfCvHoBflTE+AlaVSlXoSUDyEdCS98Vb3gOf8h74VfTCr7w3/hWq+Feo4V+hiX+5LgEVegSUGxBQbiSBy7/CgL+lQ0CFDoGVegRWGkggCxbgqjUjsn4IUfXDiWr4nJim8cTdmkh882QSbk9RaioJt6eT0DxNUmLzdBJvC01Vfid+bToJoi/s1jTim6YR1zhVoaapxDZNJlY6ZxDbNIfYxgXENS4mtmEpsWJesMGC6PoVRNUtIbJ2ERE18witnkFw5QSC5J8TUDqCgNIhkvxKBuNfNpyg8imEVIo3EdcRXS8yNGuSbh8n7Y4zGffOkv3gEnmP/Sh5FklFawrVrzOpe3uDhre5NLwtpOFNCXUvi6h7lUv96ywa36Zw6208ze/iuP0hirv/CKHl2wAefu/Dk5+8ef6bJ6/+8OLdX958kNyWgFcQ3xAolY7vuErrX2d58LsDzf86SOVXG8h/M4/Up58TfsuUS6ljOHJ8DKtXGEk3g8s+78yOZQbs2TGSTeuHsHCxHuMn9MJAvxM9u7djhHF3Zg3tznjDjhiqtmPytD5s2WfAXNE2Mbgne+fqcWiVIfss+7NjvjZLhnVjuklnLCy0WbxYk3XmBmxdZMROCxO2LjVh6WR1HJxG4u4/nmPnB7Nliz4rpqpJ2yMsZ6iydrYm6+bqsGq2OptWqON4WpXL8R3xLZMRUK8Y7fETa2pqZHhXK+Al5g7bSkVxioxLBPPCebUBq+1sA5fIuEQf16m0LjjF9cQ2vA+iXDwS0ls6pc/BvaTsSwT3QgqIdeVISBesQrrjEKbK6Rht3JL1uJymzqVUFU5FyzjkK2PbJRnbrsjYo4SXXZiM4+KmMFQTpwgtHCM1OJ04iCs3puIUaYp9uLqUb9lHdcMxWoWjMV1xjG2vcF5xMglcx5XgEr1nJ5LbcSa1Ey7p/TiXZMbp2DF4ZCwmoXIHRQ/sqHl1WlpxU/nqGPLnTpQ8FsG8Pfn3bLl5R4DLFglctUdIqbQiUW5NfKkVMUVWROYfISz3iCKczxThvBU+aUfwSrbCI9H6Y8Z1Ray1EY/CRthyMdwOtzA7XENtOR9sh0ugLWf97HD2ceCMtwOnvRw45eHAyWuO/3fHdVnejstlnbhU2uG/JEZArpT2wV3eD88KLbwrNfCp1MK3UlH6SdASZWCbynXxleviU6aGr7wvvvIe+JX3wL+iF/4VKgRWqBFYoU1AhSYB0ingpICXAJZfuT5+5dr/JgW8DCS3FV43iJimEcQ3jybp7jjS7k8mvWUamQ9mkfVwDtmP5pL9aD43Hi8g+9ECsh4qJD7feGTODXE+FqdCOY/MyRE/f/xO/L4FZD80J+vBAjKFWszJuL+AjPvzSbs3n5Q7C0i+M48k0Tt2az4JTfOJa5hFTP00opTOLbx6HGFVYwitHEVIxUiCy0WeNp7gymmEVs0ltHox4bUriaxbS1TdBqLqRCm5mcTmA1y/d5K8h+6UPA2m4kUU1S8TqX2ZSm1rOlXPUqh8lkDlswgqXwRJT7PVvfKh8Z0XzV9d4/Y3l7j7nSstP17g0S8XePrbBVr/vMRbREuECOlF1uXPB7wR4HqFC49/d+LuD0eo/XoThW8XkSHW6twZjHv2GI5dmszmjYNY/oUGFmN7sP4LVXZuGsLaNWbMmqeNqWlX+ht2QVuzE4baHfl8YA9GD+rOmJE9mTNXnYmTejHni75M6t+JVSN6YLVMj32WxuwRrmq2Hqum67BqjS6zZqmyZo4e2xcbscvCmM0LDVg8UZXtuwaw+7AptieHsGe/ARvnq7NxljobZvaTtkGIge6NS7WxttXDNVANrxwZgdUyAj8Bl2hAFa7L85PbxY/Oqw1cojxUui0RzH8azotbRdE5fyq9M07xPbCLVME6TAWr0N6SROloFdoTq5C/JUpJAS0FuLpI7QsnY9QlcLmnG+B1XY8rqSqcjJJxwFvG1ssydrjL2O8rHNdnOEV2l7Ixh4h+HI3U5USUAc4xJlxKGs2xCB0cIrtjH91Zmp10FAF9bEeOxrXDKf4znOIFvGQcT2zPiZQOnEzpwKnUTjhLJaM+Z+KHcD5hMiEFq8i+dUByXYrHM44hf6a4URT5Vt5dG27esSVb2QqRWnOEZCW44kqtiC46QkSBAJcVwTesCMz6BFwpVngkWeOeIMJ5W/4dXLYSuC5I4LLlXKAoFRWOS+G6HDjl6cAJj/8BLrcSGW7FMi4UyXATKvxMOsUqj0vF7bhS0gV3eQ+8ylXwrlDFp0IV3woNqST0FaD6BDT+4rNcE18BrjIBrt6S0woQ0KpUJahCW6FKLYIqhZvSIVACly4B5bqIf9+/XFNyZW1wC6rSJ6zGhKiGIcQ3f64E1iSuP5xC1qPp3Hg0ixuP50kAuvl4IbmPFpH7eCm5j5Zy85HizH+8jIInyyl8uoLCZxb/pqLnKxAqfmEhqaR1JcWtlp9I/LySopcrKWpdSeELCwqeryD/2XLyni3n5tMl5DxeQvbDhWS2LCD93jxS78wmSTg64eLqJxMtylGpFJ1EeM0UwmqmEVozjZDqaQRXTSW4ajLBlVMJq55LbP060m8dJufuaWnNT+kjH+SPAyh/HETpA3+KWrzIu+tGzl1n8lpOU/T4NPIXp6l6c5ra9yeo//q4tLr33o8nePDzCZ7+fprWP8/zhsuIVggRzouG1DdcovWvczz+7Rj3fjhC/T+2UvJ2GVnPpxB7byhe+Z9z1m8ae/aOYsUcHZaP7c2KsV3ZtW4gWzcPY+5CI/QNOqOr3gFjo67oandET6cTgwd3Z/Y8dcaM6MHksX1YME9Vepdw8cieHFymx/4VhhywNGHvsv5sMTdi1Sp9Zk5XYdGYXmybq8ve5UZsm6/LiimqWK4yYPJMNbbsNWW/lSF7Vmiyy1yTbXPU2TRbnc2LNNm/Qxdndz080ntJWyAC6xTgEq5LOC7RFiGB65PWiDbn1VYy/ie0rigbUYXrEn8/zuXJOJPZkeNJPXGIVsEmvC824X2wCe+FdZhQj79PAbHQbhwJ6YRVaEeswzpgF9GFEzF9cU3S5lq6Hj5ZBvhk6XIxuSdHw2RSm8QO4bo8FbeNAl4OIX1wiFDnaJQGx6K1ORltiEu8GeeTBuMUpYV9dA8JXMJxCWgpwNUBkW8Jx3UyqSMnkjtwMrUTp9I6cia9G+fSNXFONsU5fgzu4smzyh3k37elsvWEJAW4HChssSPvni05twW4bMhosCKl9ghJVUdIKLcmVpSKn4BLhPMKcFnjk26FlwSutllFZUAvdnJF2ipcV5gdF0KE47LlXJAdzgH2nPVzkMpFAa9TXo6c9HT4vzuuC4UyhNwKFLoozkIZl4pkXCmS4V7SDs+yzniX9ZFApICRugQZP7k2vmVa+Ms1CZCkjn+ZBn6laviV9sGvrA/+8t4IcAVVqhFSqUNIpZ5CVXoEV+oQXKFDULk2gUIVmgRWahBUpUFItSahNfpE1PcnpmkICbdHk3JvAun3J3H9wRQyH84g6+Esbjyao3BQDxeT83ApOQ+WkfNgOTkPLCTlPlxJ3iNL8h+vovDpGoqerZVU/HwtJS/W0naWvlxH2av1lL3agPz1RuSvN0kqf7MJoYq3QpupVErx80Yq362TVPF2HfLXayl5uZrCFyvJf7qEm48WktWygIx7c0m7O5NkUb6KsrRpqpS1RYreM9HCIW45K0dJD1hEV88lqX6N9IrLjWZr6V27/LsnybtzitzbJ6Sn0FPrD5NQu5uEup0kN+wi485uch7sofD5XuSv91P9/hBN/zzMne+P8OBnO57+dpwXfzjz6i8BsEu8+vMiL/44x+NfT3L/RwdufXuAmg8bKX69jKxn04m/Pwy/khGcC5rI/sOjsVxgyNLxoou+Izss+rN98zAWLDKWgGWg2Q4t9Y6YGHdhyNDuTJqhyqjR4sHYvsyZosnC+RrMm6nKoon9OLjCiL3LDDi40oR9S0T3vI70GKv5nH6Yj+jCphnq7F9myG5zfVbNVGP+fB1MBvZg3hId9loZs3+VNjvnq7N1ljqbRee8hQaODrpcjtTCr6AjgbUyAhv+G1xi3Kete160RghwSa5L6bSEwxLwEqcELSW4REOqdLNYIHKuTpxM7YVTnKrkumwj+mAb0UuSTXgP2mQd1k0CVhu0bCLaYx/VUWpXcEnux9UMLbwydfHNNsI7UxfXxE44hsrYfVXG9ksydnsognpbUWKGq+MYqSLByylSh9OxRrimDOdE9AAcI9VwiukuBfN/Q6sTx0RAn9iJkwJaKZ0USu3E6bQuOGeocC7DEOek4bgmzSQwdw3p9QcQN4kVz8Wr1k4UP1KAS5SKObdtyGpSgqvmMImVVsSXWxPzKbjEraLUDmGNf6YCXNKsotTHdUQaspbC+Wjrj+CSSkUJXHa4BNlzNsBBkrOvAl6nvR0leH1Krv8asm4DllhPe7lNhTKuFMq4WiTDo1iGV2kXfEp74VvaC/+yvgTKNQkSGZVcWwKVBK0yDemzb6kGviWq+JaoSPDyL+tDQLkKwRWahFbqEVppRGilAaFVAmACXNoKVWopYaVNWK0uEfV6RDeaENc8mMQ7o0i9P14BrZapZD6YwfUHs8l8OJesB+ZktSwlu2UF2S0ryWqxJOv+KrLur+FGy1puPlxP3qMN5D/eSMGzLRQ930rxi60Ut26lpHUrpa1bKXu5Dfmr7chf76D8zU4q3grtovLtbirf7aJK6P0uqt/voub97k+0k9oP26n7agd1Xyk+13y5har3AnICZKspabWUHJ0EsscLyX4wn+st80i/N4vkOzOlnC2mcQrRdROJqZ1CfN1ckuvFIwiWpNVvIK1hM2n120ir20Za7VaSazYRV7WW8HILgssWE1K2kIiKxcTWLiH51jKu313BzYerkb/aRO2HHTR/u5/7P1jx6GcHnikB9uw3Zx7+fII7P9jR+M0hKt9tpeilJTnP5pP+aApx94biLx/KmcBR7Nw/lBXilm+iGuaDOrB+thab15qxbLkJoz/vy3CzHhjpiJKxM1/M7suMWf0wM+nKslm6rJhjyPw56lK5OGVQV3YtNGDHEuG6jNgxR4sln/dgznRVVq/QZs10NXYt1OfQqv7sXazPqi/UmDpFAw2dzoybrMqOA/3ZuUKLddNVWTNZjTUzNdi2SoMTZ/W5lqiJf2lH6TbRXwkusd3Ut1bhuMQKZtEx3yZxYyigJByVBKxPoCWBS2yKaHNdckU1cu5mZ05n9OZ4ojqOMf2wj1LBLrKnJNuI7tiEd8UmogtW4Z04Et4Bq4hO2ER0wjayPY7R7TgR3xnXVBXcs9TxzNLEO9MQnyxjvLI0OZ/QmSOiZBQvC10WjakybIJ7YR/eR8q0HMPVORahxalIY07FDeB45EAcQnU5FtNLWR6KUF5xoyjdLCZ2UrqtrpxKFRLgEq6rHecyNTibOpCzCWO5kmpOTNk28u7ZIH8qXrT+G1yiVLzRLMBlTXq9FckSuA4TJ7cipuSIwnEVWhGWby2BS+qcz7TGN/3vBlRxsyi2Q3wElzLn+jTjOh9kj0ugA+cCHSTX5ezryBkfR057H/2UW//dDiEc1mUlqK4UyLgqJKBVIONagQzPog54l3TBp6QL/qW9CJL3JaRcndAKbUIqdAkqb4OYLn5lWkjgKlXDV7iuMjUC5OpSeRhcoauAVoURIUKVBgRXGhBUoUOwcGE1uoTV6RFRb0BUoxGxzf1JuD2Y5LvDSb33OWn3x5HRItzWdDIfzOZ6ywKutywh876FElRryb6/geyWjdxo2cLNB9vIe7SDgie7KHq2m+IXeylp3U/pq4OUvT6E/PVhSZWvD1H15jBVbw9R9e4Q1e8PU/P+CLVfWlEn9MGK+q+saPj6b9V/fYT6rw/S8PV+Gv5xgEZJB2n8+gANX+2j5ssdVL3fLLk0+esNlL5cTfGLlRQ+W0HB02XkPV5CzkNzMlvmk35vDil3vyDp9gySm2eT3ryEjFsrSW+wIKV2JUnVliRWWhJfsZI4uQVx8qVElS0ktHQOgcXTCSidQmDpNELKphImn0pE+VRiqr8g485SCp+upeLtVuq/3kXzd3slB9bykx33f3Tk9nd2NHx9kMq3Oyl6uYbsx+Yk35tJ7O2xhDWZ4iM34XjIYLbuN2WZuQFLpmliPqQry0f3YuMyI9avG4jlykEsW9gf85lGjB7ak8kTezN7qgrLZuqxQ/yeuUbMmqLGrBn9GKnbno1T+7FtkS77lhpIrmnZ+D4snKvGmvUGbFlmwv7VAziwegDbRak4TYVxY1RQVevA0JF92LbbmHVLNJk3RoV5o/pgPqEvqy3Ucbigw+W0vviXt1OAq07ZDqEsEz/toBcjP236FF4CYAJk4jtJAlpKeEnOrESGa14nnDN7cTJZlWPxajjG9sU+WgW7qN7YRfXANrIbNpFdsIrs+FG2kTLso9pJrkisfXbL6I1Htjq+NzSlUtEzwwDvTCM8MrQ4HSnjkKeMXVcV4LIO7oVtiAYOodo4hGjjKEAVYcCxGENc00dyIWM4TnEqHI1XbGYVwBJNpwp14kRSRwlaopdLQOt0WjtOp4ktt704l67H2aQRXEj6guD8tVxvOiR1y5c9VmZcD+2kjEuM+mQ22SDeN0iuOUJi5WFiy45I4IostiK8UNEOESw6529Y45+ldFwph/FKFiM/tlxt6+WKUjgut7ZeLmn0R5SL9pLrOhfoyFk/RwS4JHj5/o+MS8CqDVgCVNfy20vAupYvw6NAhndRZ/xKeuBfqkJAWV+C5QpohUkg0iO4XJfgcn0C5br4l+oQUKZQoFxbcmWiNAyr1ie8xoiIGhMiqk0IrzYhTDqNCas2JKLWiCipJDQl4fZAEu8MJunuEJLvDSfl3ihS740l9e4E0u9NIeP+TDLuz+P6/SVkt6zmxoON3HywlZsPdpL3cC/5jw6Q/+gghU+OUPTMitIXNpS9tEX+yp6KNw5UvTtK9Xsnar4UOkbDh+M0fHUcsaeo8ZsTNP1T8QqweFSz+Z8nuf1tm07Q/O0xSbe/deL2d040f3eU2/8ScuT2vxy4/Z09t7+1o+kbkRntp+bDHirfCRe3mdKX6yl+sYbCZ5bkPVlGzqNFZD8wV7qvOaTenUX6HXOy7lhwo3kd2Y3ruV6/kbSa9SRXriGxfDWJ8lXEl1oQXbqE0OK5BBZNI6h4IsGlQuMIKR1NSOnn0hlePpHYmlmk3FpIzkMLilvXU/l2K3Uf9lD/YR8173Yjf7WVwudrpYwu7f4XxN0Sc58jCazrj1eZDqci+7PdSoDLkMXTtFgwojdTjTuzaJIaFov1Wbd2IPv3jmPb+iHMmtqXWVN7s3CKCtuX9ufwelNWz9Jg+viezJ+ryrSRPdk2V5udyww4YGnE/uVGbJ5vwLLFOixaqs6aOVrsXWHMgdWmbF9gwLLpqowc0YtefdphYtqdDduMWbNEg8kiOxvWi6mjVVm0VJPD53W5lCoy1Q741yj3yH/itj7mW0rH9RFcn8wlCmh9Ci5pe8R/gOtCflfOZfXhTKoaJxPVORarztGYvlLm5RDdC/uonthGdpRW34gtEqJElMAVLXb5t+N0UkfcMnrintUXvxvq+Gbr4pmhx9UUXTzSDbmaosrJcJnUJiFGgw74dEEMVztFKIB1PNyEU1GmErhOxg/gYtbnuKSb4hTXjWPxMk6IMD6po9R8eiKpu8JxpXT66LZOpbXjVHo7Tmd05ex1Lc6mDMYlcQqemctIqNpNzh0bih86SqViwQMRztty45YN1xut/x1cciW4RMYlRn6Ua20Cc2zwz7LBV7nWRtwsin1ciu55RUB/KcqGC6J7XjShhiraIVyCFOWicFznAv4Gl7Pf/3BcAlASrPLb457fSan2uOd9hld+J3wKu+NfokJgqRpBZRoEyzUJKdcmtEJXclzBcl2C5LoElOrgV6yNX7H4rEdgmSGBckOCyo0IlhxWf0KrBkgKqx5AuOjHqjElotaUyHozohsGEntrKAm3h5N4ZzhJd4VGkXx3DMl3x5F8ZzIpd6ZKwXf6vUVktazi5sPt5D/eS+GTwxQ/taHkqSMlz5woFStoxUZH8dT469NUv3Wm9suz1H/lQuM/XGn65gK3/unG7e8ucue7S9z91yXufn+Zez8o9ODHS0j66RIPhX4W50Wl3Hjwk9AFWn5ylXT/Jxfu/3SO+z86c/+HM9z7/gS3vztK0ze21H0lXNxeKt7spOzlZkpebJBgkfd0JTmPlpP9YAnX7y8i494iMu8s58addeTe3k5e0y5y6neSVbOd9MotpJZvIlm+kcSytcSUriC8eAFBRdMJKp5ESOkkQssmEFqmgFdwyRiCS8YSUjKR0NLJRJRPI7Z2Nsm3FnD93nKypJLaguv3lpJ215zUO18Q1zhRauYNrBooNQ97lmpxLsGY3Y4DWGKuh/kULRaMUWOUVkcmDeiO+TQNVlsYY3V4LI62E9izfSgrFmiwYmofDqw0xnqDEbstTFi5UI8Vy7RZOEODXYv12b/KGKt1JhyyMGLTHF0WzlFnwQI1Fo3twU5zffZZDpS2Riye2Y9hw3rSq3d79A27sWq9EWuWazFxZC+mjFBl2jh1Fi7VYu8ZbVyT+uFV3B7fKkX7gygRBbCEpHU21YomVLHtVJQ65mkUAAAgAElEQVSLAl5t7uq/oKVca9PmuKSOe/FMWWFnzt/ozdl0dU4nq3EiXgMnCV59cIzpjkN0Z+yjP8NOKKqjVCLaRclwiJFJYDmT3AG39G5cy1TBRwku7+v6XE3Rxy1BmyvJOrjG98YpRMY+kXe5ydjvrRgLcghVkUrF0zEmnI4VMuVc0mAuZgznXJIhx+I6fmyDEPA6mdzt442iyLlEqXgqvQOnMjpI4DqXqYZL+gDOJY/GLXkWoYXrSa09QN5dO4oeOlDQYkfuHVtymm253mhDat3fjqutVIwsOoLo45LAlWtDUI4NAdm2+F23wSfNBq8U6483iwJeooP+UrQNbhEKcLkq+7hExnUu0E6Rc/n9XS7+T3C557fHI78THvld8cjvoVRXPPI6413QHb+ivgSUqBNUqkVwmQ4CVEIh5fqSxGcBLf8SHXyLdPEp0se32AC/EmP8SvrjXyo0gICyAQTITQkUKjcjsMKMwEozgqoGElIziLDawYTXDyGycTjRTSOIvTWCuObPiWseQ3zzBOJuTZbyoKTmBaTdWUHm/Y3cfLiHgidWFD+zo/TFMeStp5G3OlP+8hwVr1yoenOemneu1H3pRsPXYkPqFW5/d407//Lg7vee3PvBk5afvHgg9LMXD3/x4tEvXjz5xZunvyr1mw/Pfvfh2W8+PP/dh+d/KM/fvXn+h5ekZ3948Ox3d57+dpUnv17m8S8XefDTee7+cIbm75xo/MaO2g9HqHy3l/I3uyh9tY2i1k0UPFtP7uPV5DxcSXbLKrLvrSPn7lby7uyjoOkQ+fWHuFl7gOzqvWRU7iKtfBtJ8o3ElK4kvNic4OIvCCmZSmjpFELLJhMmn0SYXABsAiEl4wkunkBQ0QQCJY2XnFmofArhFdOIqJxGZOU0IqomE1E9kVAxv1k+FN/SAXiVGOBZpMulNDOszg3FYoUJC6fpsGiyJiN0uzJEqxNTR/Zl5RIjrA+P4fjRCRzeP4K1y/RYP0+DI+sMsNlowF7L/qxabMiypVosmt6PvUsMOLjKGOt1xuxfpsvqyX1ZMLMf5uZqLJugwo4F+uxabsraOfqYz1KXwNVHgEu/K8ssDFm7XJdp4/oxZ5ImC2bqsNRSi31ntHFJ7ItHYQdpjY1P9b9D6yO4RED/Cbg+hVcbxMQpsi0p32rLuYQbk8DVgfM3e3HuuhpnUjU4IVxXvBpO8SocjeuGY2xH7GNl2MaIYex2CkXLcIhWNIeeTuqCW3pfPLK08c/VJ+CmEX5ZJrinGuAap4VLrBZuidq4xPXBPlDG9gsydlxWzDVaB3fAIaIXJ2J0OB3XX9KZ+AFcSBnM5YyhnE014FhCDwW8ktpJXf7HU9tzMrW9AlppXTj5CbjEoyjnr+tyPnUoromT8cxYSmzJTrIbrSm470D+fTHuIxyX3X+Ay4q4TxyXKBXbwCUclwJctvim2eKdYiMNWrf1c10RM4vRNlyMsJbGfv4Gl50SXPac9VfcLv5/KhU9CrrgWdAdz8JeeBX0wrNAnCp45ffGp0AV/yJ1Aku0CS7VI7hM79+gJeAlwBUouS1dfIv08So0xLPAEK9CE7yLTPEuNsO7eBA+JQMleZcMRCEzfErN8CkzxVduil+5GWJcSMwnhohZxLphhNePIqJhLJFSJ7xYWzOLxOYlpN5ZzfX7W8l5uJ+CxzaUPHeQHJb8pYCWCxWvXKl87Ur12wvUvnej/sMlGr++wq1/Cmh5cvd7L+794M39H3148LMPD39R6NGvPjz51Zenv/rx9Dc/nv3mx/Pf/XnxR4Ck1j8DEHr5l0Kv/vLnFf68JoBX0nf+tP7lw4s/vXn6hzsPf72IcGN3vj/JrW+P0vAPW2o+HKby/X7kb3ZT+mo7RS82U/B0E3mPt5D7cAc37+8h7/ZhCm/ZUNhgS0G9DXm1R8iuPkB6xW4SyzcRU2pJeMkiQkrmEFo6g7AykW1NIbJyClFVk6UzXD6ZsNLJhJRMksrJwKLx+BeMwS+/TaPxK/gc7/zP8S0aiW/RMHyLBuFVaIpHoSEeBYa4Zw3hhMdoNm8dwqIZuiyZpsG4/r2kl6hHGHVn0Re6WB0ay1H7CWzZYMy6lUbsWWOC1UZ97DYZIrrgzb/QYP48VeaO78k+sS11pT7W6wzYv1yXtTM1WL5QlwULNLCcJhyZETtXmLFyjoH0JuPQod1RVWmHvm4XFi/RY90KfRbM1MVivj6WS/VYv1UXKzd9XFNUpCxW7N+SwCUaTpVuSwKX6OP6FFzK4P1TYP3nZxHSSwAT+ZcAV1EnXHP74JLVD+c0dU4maUpB/bEEVZwSunI0vgMOcTLsBLyixQqcdthGiYxLxrHYjjgnq3AlUx//vAGElgwhrGiw4qXrdBPcEnU5E63BuTgtLqVo4BLXESvRWe8mY9c1GQcDZFLT6fFYdU7GG3M6YQBnk01xTRuIW/ogruR8zukUA04k9eR48mccT5VxQgktcZsoJPrQhE5ndOLs9U64ZmpwMcMMt6TxXE6cQ9jNTaRXHyLvjj159xSOS1pn0ygyLmuSa6xIFCtt5FZEl4h2CCupVAwvsCZEOK6bf4NLOC4BLtEWIV6zbuvnagOXKBVdlRmXKBXF2I+k/1/gKuyJV2EfvAtV8ZGkhk+hBj4FGvgXahFYpEtQsQHBJQYElxoQIlc4LQW09Aku0yJI5FqlhvgWG+NZaIJ7viHuBSZ4FIi/BIPwLBosyaNoEH/LDI+i/rgXG+NRItQfz9IBeJeZ4lcxiMAqsRXic8LqxhLROJmYplkk3DIn9bYFGffWk/1gOzcf7qfwiTXFz45SKibbW09Jjku4rco356l660rNuwvUfXmBhq8u0vSPy9z+9hp3heP6lwf3vvek5Udvpdvy5uEv3gh4Pf7Nlye/+/H0D3+e/uHHsz/aAOYvgatVCSkJXAJefyngpQCYPy/x4wU+PP3TnUe/XaLlZ+G+nGn+7jiN3zhQ+5UNlV8eovzdHkpe7aS4dRdFz/dS8PgABfcPk99sTUGTPUUNRylqcKSw3p6c2iNkVO4lsXwLMWVriRTlYpk54fJZRJbPIKpyCrG1k4mvn0Z8w0xia6cTVTWN8PKphJZNIbBkIv6FY/ErGINP/mi880filTccj5vD8cgdhmfeEDzyBuKRZ4Zn3gA88vvjfmMYLiFj2G81jKVzdVkxU4fZw3sxXKsjQ7Q7SznT7m0jsLMez2pLfQlcB7cNwmarETbrDdkwX5sZE3pLGdf8CT3Yba7JoZU62G4w4sjq/mxcbMyq1UbMn6vO8kmq7FpqyE7LQSydY8LcueoMHNwNtT7t0dfrwuLF2myyNFC84rPCiG2bDDlob8Qpf12uZvXFp6yzwnFVKeH1KbiUK5uF45JgJEpF5exiW6n46SlBTFlSSuG8BK72XMjtw/nsvjinq3MqWeG6jif25Xhid2nMxjFeJsHLPkYm5Vsi4zoa054ziX25mGGMV85gQoqGEV0+muiy0YQXDiPgxkCuphrhHKPJiYh+uMTrcC1VNJx2Yu9VxVjQHi8ZR4Jl0gqbk/G6OCeaSF3wrqmDcLs+GNeMoVzLnYRzmqGUbZ1I+UyRbaV25Uxad6mHS/RxnU7vxpmMDpy93p4LmapczjTicsrnXIyfjn/mKpLke8i5ZYO0zuaOLVnNNmQIcNXZkFxtS2Kl2H5qrVzbbK0Elw0hebYE3bRVOK4MUSqK9c3WCnAl2+CeqGhEvRxty8VIWy5E2uAabotrqB0uwXZSL9dZ0UEfYI+znwPOUkj/PzIubwGpIs2P8i3WxrdIE78ibfyLtAkq1pegJeAVUmpIaJkhoXJDQuSGBEvSJbBMD/8SA7yKjHAvNOJqviFXCwZwrdCUa4UDcS8chHvR4I9SwMsM9yIzrhX351qRiST3YgEvM3zlQwmoGE1Q1TjCaqcQ1TiL+OaFpNyxIKNlHVkPNnPj4U5yHx1QlIrPHSh5cUyClygXy186U/nmHFVvz1P97jy1712p/+BG49eXuCXKxTZ4fe/B/R89JHApSkUBrk/hJQDmy9PfBbj8ePHH3+Bq/UsASqFXwnERIDkvCV74Sc7r+V+ePPnjKg9/vSBlYLeF8/rOifpv7Kj+yooK4bze7qP01X5KWxU5XVGLPYW3j1LQ6ERB/THy646SV+fAjVprMqoOkVSxkzj5ZqLlq4gqX0JM1QLiauYQXzeThMbpJN2aQcrt2aQ0i2B+FkkNs4itmUFY+RSCSsYTUDgev8Lx+BaMUwAsdxSeN0ficXMY7jeHci1nMO43B+ORayZB7UrcBI6dG8umNSbSKpnlE3oyzaQDI7XbM3pAL9YsNeX40cns2zuKDZamHNw6BMd9Q7DebMKWJfosnquJhYUuaxbrcXCVAYdW6WK73pAjq03YvNQIi1W6rLDQZ/08fXZbDGDrykEsmGXI/AVaDBzUDU3V9hgZdmXxYl02Whpiaa7HplVG7N3XH3sXE85Ha+KTLyYxuuMrHJeQcomgFMwrndanZaKA1MfRH+WNovTdJ5/Fz21wu6wsFYXjOp/dj7MZapxO1eSkyLqS+nI8qRtOie1xTJDhEC+TSkYHcZsY1Y0zYrg6zRj364MJyB1FZNkEUutncL1xJqm1U4grH4PvDRNc43U4HtEXp/A+nI/X4XKyFiciPmP3FUXJeND/M+wiOnEiTo1T8aIDvj9nkxSu60L6QFzSBuCWNYSzaXqcTOou3SCKW8Qz6R0+gss5vafktlwyO+KW1Zcr2QZcSR/B5cRJeKcuJrpwCxm1h6R3FMXK5uxbdh/BJXbNJ1XaSdtPFQ9l/Ce47AjMtsX/ug1+EryE4xLloi3uSXZcjbfjSowdl6LscBPwUoLrfIg9LsH2Cnh9Cq7/Fc77FGrhW6SNb7HuR4mA3a9Yn4BiA4JKjAhWKqTUWIJXUIkBQaUGBJbpS9ASYbxPsR6eRfpcKzDkSoEhlwtMuFwwgKtFplwrMsO9eJAkj+LBeJQIDVSodCAepWaSBLS85YPwKx9JoFj0J5YU1n9BdNM8Em4vJeXeKjIebCDr0RZyHu8k98k+8p8dpPCZDcUvHChtdVKWjKeoeO1M1duzVL91ofb9eQW4/uFG0zeXaP72Cnf+dZW7/7rGvR/cJXi1/OT5d871q4/kvATEHv/mw5PffCVwfQqvNmiJ81NwvZEg5sdLvHjxlyfP/rymdF2u3P3xLM3fn6DxW0dqv7ZWuK63ojXjCGWttpQ+caSk5RiFt09S2HiK/LqT5NWeILfWiZxaBzJrbEmt3E9S5U7iKjcQV7WC+NpFJDUsIPXWPNLvzuX6/XlSm4VofM26v4Csewul28qkpnnE188hUuweK5sihfoBhZPwyx+HT95ovG+OwitnJB7Zw3G/MRSPnMF45AzDPXU8bv5TsLEZzYYlOlhOU2HuoI6M023HKMOu0gOsziemYXVkNJtWm7B3oyl2ewdjtcWEXZYmrLUwYqWlHivMtTm8zpjD6w2xE5tSVxqwdq4WixZrsHylARsXm7DXciBbLAYxa7oe8xdoM9CsGwZanRho1l0C1wZLQ9YvM2aj2LK6XVwcGOLkL8J58ZewM+6FMjzLZHhXKGYTP65t/uRGUYKR0m1J84ptG1DFHKPo61JKapEQ38llXC4R4XwHqVQ8f0OVs9c1OJOmyakUNU4mq3AsqQvHEttzVAkuB9HJHt2ZEzF9OJegi3vGIEIKxpFSM4f8lpVUvlxP3duNVL60JK9lLpGlw7iUZMCpSPFCdU+ORfTicoq+NNN4LLQje6/J2O0uwyr4M+lxjBNxupyKH8Dp+AG4pg7BLX0gF9JNccscjHveaFwy9BStEFILhOjf6szZjN6cu67CuczuSODK7sm1HC3cs8y4mjoaz9RZhOetJrlyN5kNVhK8spsUGZfCcdmRVCUeyrAjVrypWGxLZKEN4QU2hObbEZxrR+ANO/wzbfHNsME73QavVFs8U/4G1+UYWyW47HCLsONCmD2uoQ6cD3H4uyUiwJGzQv7/03Hp41NkiF+xkVIm+JcYSwos6U9QyQCljCWIBZQY4F+sj3+xLv4lwmnpSZDzLtLFo1CXqwX6XCnQ53KBPpcKjbhSZMLVov5cKx6Ae4kCUB6lA/GSD8K7fBDeFUPwrhyCT4XQUPwqhxFQNZrgWrHGeaa0XTW6eT5xd5aQfM9SWsGcKb30s5WbT3aR/2wvBc8PUfTCmpJWO8paHZG/PEbF61NUikcA3p6l9r0L9R8u0PD1BZq+uUjzt5e5/Z0SXt8r4NXykwdCD372VJaMCvf1+DdvnoiA/j/h9ZeA0787LpF3vcKPV/jy6i9vWv/y4MWf7jz9Xbiui9z/2YXbP56iSem6qj4coeKdFfLX1shbHaTnz0taTlF0+zRFjWfIr3Mmr+Y0udXHyalxIqvagYzqw6TW7CW5bispDatJvbVM6tnKbFlEzqOF5D5ZJLVb5D5ZTu6j5eQ+XM6Nh8vJbFlKhngpqXkRSY3ziaudS2TFLEJKpxFYNAn//An43ByL143ReN4YgWf2CNxvjMA9YyzXoqZy1nUKOzeasGa2BnOHdWOsAJduBxaM78eh7SPYvW0QW9eZsG+TCUe2m3BogyHbLAxZtdxA2l+/aKYm+y0NObjOEDsR3C/WZOnE3ixZpMOs2f2wlByXGRuXDWT6VF0WmOswZGAPTA26MHxoD+m/sWWtCZsszFi11EjKvMxX62B5QJ2Nx3py4FpXjsd24WKODE+5AlzSfOKnZaHSUQkotTkuaa1NmWLgWgxdi5/F4LUYBxI/C7d1qVhMlbTjfG5vXG6ofAIuVU6m9OZ4ssJxOSXKJHg5ipnB2O6ciu3LhWRDAvNGkV4/h/Kna7j7j308/dGaZz9bcffbHZSLty1rPsc9TQ/nKDUJXHZhnTkV05drGWKjRB/sAhWd9WKPl3VQZ45G6XIybgBnEgZxLmkQrmnKvOv6YK7mDsOraByuWf05k97vo9s6m9EDFwlcvXDJ6oxbdmeu5KjgfkNPAqtH6kSCchYTV7qJ1Oq9ErwEuDIb7Uivsyelxp6kKnsSyu2JLbUjpsSWyCIluPJsleCyxT/LFt/rAly2eKXa4Zli99FxXRaOK9oeN+G6IuxwCxfgcpR0PvgoLkFHEf1cQi4B/wNcorzzKTbGr7g//iUD8C82xa/EDP8SMwJKzAhUKqDYBP9iIymAlxya0qX5FQnw6eNZqIN7gRZX8rW4nK/BpXwtLhbocKlQn8tFBlwtNuJaiSHXSg1xLzPCs7w/3lWm+FQPwrdmiLRp1b9mKP41wwisHUVw3XhCG6YSIV4cuj2H2DvmxN9dRsr9ldLTZVmPN5LzZCt5z3ZQ8GI/BS8OUtRqRUmrLfKXDpS/PkbFmxNUvT1Dzfuz1H3pSsPXohXCjVv/FK7rsuS6hPO698M17v/oLoFLwEtxu6gE168CXN4SuJ796vsRYC/+8OPFX6Ik/BtgItt6+ZeAlo8Erpd/CnB58OxPdx7/fpmWX1y5+5PCdTX804Gar22ofG9D+Rt7yl86IX96grKWM5Q0O1PU4ExB3Vnyas6QW32KnKpjZFY5klFtTXrdftKbtpN5dwM3Hqwi94kF+c8tKHppQcnLlZS0rqLwxRqKnou+sbXkP1tL3tO15D5eQ+4j0UZiyY37Fly/vZykxsXEVM8lrOwLgoqm4pcnADZGCbBRuGeO5lrCeFy9J7J/30DWmOswZ1Rvxuh1YJRmO8YbdGDZDE22ruvPvu2DObTdjMNbjDi03oDV5tqYz9Nk9mx1Zo/vx55l+uxfY4TVen12L9Zm5XR11q42Ydo0FSxm67BzpRlrl5gyTQKXLqOGqTDctKf0cvbCxbps22DKJstBLJlvxKSJmgwc3pOBY7owYlYX5m/vys6LXTmVKMbUZHhUKHRNwEq4KgEhIQEkJZTaQHWhVLHCRqyxkcDVBjJxil8Ts7wSuHoqwJWpxhmRc6WqcUICV0+OJXWUXJdTwmccFc2g8T04l6SJZ7YZcVWTKHy4hLtfb+fVb/a8++s4b/5w4OEPe6h5s4KMpolSJ71LtJr0PqNtaBfswjrikqDB1esa0nNnNv4y9olxIL+uOETocCrejLOJQzmfPITzKQNxSRnChQwzruQMxUvkmCXjccsewrnr+jhnqOKc0UPRfJqpAJfrjU5cyunKtZuqeGQZ4Z42Ap/rMwnLXyHBK6VqH5n1NmQ22pNe70BKrQPJ1Q4kVNgTV2ZPTIkdUUW2hBfYEZqndFw5IueywS/TFp90O7zS7PFMtcc9yV4qFS/H2nEpxp6LUfa4RdjjFu7AhTABLgdcQxxpg5cAmNCn//zXyI9nkQlexf3x+QisgfgUm+H3iQTM/Iv741dkgk+hId6FungX6uAj4FWoL/3sUaDF1Tx1Luf142KeCm55KlzIV+NCvgZuEsC0uVKsyZVSDa7JNaU9X55iSaHYwFprpHxlqD/+dYMIrBtKUMMIQhpFF/dEIm9NI7p5FjG35xJ/dyHJLStIf7iarMcbyHm2hbxnuyl4sY/C1gMUvzhEaas18tcOVIinyt6eoPq96ONyof6r8zT+Q7guN5q/vSS5rrvfX0XoU3gJ1/XoZy8e/+KtaI34xYdnv/rxN7h8eS5C+z99ef6nrwSv1r98JWi9/NOHl3968/JPL1r/9PoIrid/XFG6rvPc+fEUt/51lLpvbKn+0pbKt05UtJ6k/Mlpyu6dpfSWC0UN5yisP0t+rTO51ae5UXWc65WOpFdbk1q3h7RbW6SWkNyn6yh+tRr5+7VUfFhP5Yf1VLxfj/ztRsrebKLs9WbKXm2VWjBKX26jtHUbJS+2UPRsE4VPNpD3aD03xMMit5YTW21OWOksAgqn4ps7Ee+ccXhlj8U9dQzngj/noN0gVi/TZfY4VUYbdmaERjtGqX/G7OFd2bbKmIN7h2K1fyiHNhuxf50+cyerMXmiClOm9GX80J5sWaQnbX84ssGE3RbGWC40ZPPOgZiLfVxL+rNzzUAsl5oxcbwm8xfqMG60KlPGaTJ2rCoLFuqxec0A1q4wY/Y0PUYMUcPYuBfGpr0Z+HlPJi/vzvqT3XCKbS+Nq3mUy3Avl3GtXMZVueJmUMwdSi5KCTEJXGUy3EoVksAlfk+ZAnLiFO8qigUErvkdOZ8rwKXK2cy+nE7vx6lUDU6mqnIiRYXjyT1xSuzC0YSu0i3jqcTuXM4UGfEg0pomU/FyOS3f7eTV7za8+8uB13/Y8PjHXdS/tyDnzgwCckxxjRe5lnjFR2w7bY9DRBcupImn1rQ4G9MDKy8Z1v49cQzvx8k4A84mDuJC8nAupg/DNXU4F9KGcPXGEDzzBuNdMATfglm45y7A7cYkXDLNJKd4NrM7Z7PFn6MrF3I6cim3G+431XC/3l/6/+xzfS5h+aLReTsZ1Ue43uAggStVgKvGgfgKe+Ll9sSU2hFVbEdEoT1hefaS4wrIscW/DVwZdnhK4HKUwHUtwY4rcfZcjrXnUpQjFyMcJHAp4OWAa6iibJQAFuLE+WCnT7n13yM/1woG4F5oimeRGV7FQoOkFgYBL98iIVP8ikzxl87++BYa4V1giHeBAJaQEV4FhlzL1+FqniZXcvtxKbcvbrl9uJDXG9f8XpzP78WFgu5cKu7BpdKe0q6va+W9uFbRB4+qvnjWqONVq4VPvTZ+9Yb4N5gQ0DCQoMYhhDSJh2pHE3lrEjG3pxN3dw4J981JfrCUjEeWZD9ZT+7TbeQ/30nBi70UvjhAceshyl7ZUv7agco3TlS/O0HNe2fqPrj8m+tSlItX/t/BJeD1sxdPfxXg8lWCS/R1eSskerr+ULQ/tP7pjaQ/vGn9w+OjhON6/uc1nv5xRcq6RFB/T3JdxxCuq/YrB6rfHqOq9RTlj89Qdu8cpbdcKWo4T0HdOemVauG6xMOvGZUOpFUfJqVuF6m3NpHZIv7sayl5s5ryD+uo/XYzDf/aTuO/dtLw3R7qvtlL7dd7qfmwl5ov91H9fh9V7/ZR9XYflW/2UvFqN+Wtuyh5tp2Cx5vIaVlLRvNy4qoWEFY8g4D8yfjcnIhH1njc4sdg7zqcDZsMmDtVgzH9uzNMuyNjtDuwaEx3ti/XZu9mYw7sGsi+zcZss9Rj4ue9GTu2F2P+D2FnHR31tbbtwaV40HhIcC1OoVihLQ5Firu7x92TiXsgJMET4p7MTIQoCRHcnVKlpUBbKudc39p7JpRzzvudw1r32r+ZCX/QlV5zP89+ZGx7+pq25pMxXVk+00xuvRbN2qKwdcWWPsyYYci6hf3YvmIoi2b3Z/QIPWbNMWTMKD2mTjRi0iQxs8uY1YvMWPi5GR+PMWDEsF6MHteLzxaZsGSbKevse7EvogPOKdoe24BSHbT+HVw6MEkoCTBdUOAlJqTo4CVOAatGaInpEGKYoHtBS9zz2uMqQsVGcKV2xTG1q4SXXVJHbGWSvjU2sm+wOT5ZPTl2oQ+pV8ZS8ngmDT+u5PYvW3n8x24e/76DO6/XUfv1FxRcn0KsegC+Sb1wPKmHZVw7Ca4DYjbX6TYo0w3wS+uJbYyCnYEKdotexuMKbE62x/mcMZ4pg/FO+xBl1jCC8ocSrOqPX64pIappJF5yIelSCDElVihzZ+GeZYFbtgh52+GZ2xrvPAUB+a0IyumlDRlTxxGVPZvThatJKttF2sXDpF2yIrXGSoIrocKSc2WWnCk5wsmiIzpwWXIs7zBacIlQ8TBh6Ue04Eq2IijJkoAE4bosUZ6xRHnKGt8TAl5C1njHWUvn5RUrTmu8jtviGWP738Hlo+qPUvxD1f0J0GjLFYJ19VdhRQP+dl6F/STAwjV9CNPBKkTdG6GgAjP8CwzxE+Aq6I6vcF2qzngWdMRD1Rp3dWs8NM3xKmqKT0kT+UshBhj6lTcnoLIpgRdbEVzdntBLHQmr7UxEfQ8i6w2Iqjchut6co/X9ON4whBNXR3HqmmgCnupyl0QAACAASURBVErCjc9IvjWX9DtfkHN/JfkP1qF6tAnN420UPt5ByZM9lD49SPlXR6h4bi3hVfOtM7Xfe1D/wouGH3248lLJtVd+XBeO633X9Usgt34N4s6vwRJcAl6iKFUWpv4Rwn2dGgH28M8QHr1TMI/+DNTqrwAe/SOAh//w58Ffftz7UyldlyiPuPrGUXvD+L0t1c/tqRS3oXddKb3uQUmDF4W1nqhr3Cm46EpepROZ5Taklh8iuXIXSTUbSWpYRcatZeQ/XErhV0sp+365BFfdm400/LKVK7/t4tpv+7j+60GuvTnIlZeHuPyTVg0/HqL2+4PUfHuAmuf7ufjVHsqf7NAC7M5a8m6sIK1+EWcqPiemaAoR+RMIShuHc+SHbNlrwewZvRjdvyODDVsxtncrVnymh+WO3hze3YddWwawZWVfNiw1Z84ME6ZP78G4jzuj37MVxr1aMWNCD9bONuOLKQaMHd2OxeuMGTGsA4s/NWXVgv7Mmt6b8eN6MGeuIeNG6THpIwMmTerFvLlGLJpjzGdTjPlotCEjR3Vn2rwebLQy40iIKU6nDHFPa49PgYKAEgX+FxT4NYaH4lm4KB2UBJiEGmH1L+ASifjGzwXQhNtSK3DLb4Vbbgdcs7vowNUFx9ROOKZ2+RfXJRL1YmyySNY7pbQkoKArcRf7kHFzLMVPZ3LpxVKuv17DzTdrufpyBdXPF6C6MZlTJUMISDXE5UxXbMTUidjmHIxTcDi+CU4JnQnIMkSZ0oHDUQp2ivKIaPGZQt4yeiT3wTttMMqswfjnDCYwfyDKvAH4ZvcnTD2Ls1UuZNTGc74qnOiiA/hmz5QAc89tgXd+E0T3THBBe0KyTQhOH0J4+hTiCpZytngryRVig7UVKRJcViRWWnGuzIozJVb/Bi5LonKPEJl9mIjMI4SnWxGSaklQsnBclgQkWuKfYI3fOWuUp23wPWWNzwkbfOJt8X5PXnE2aPU/wOWV3w/vgn74FvRDqdaWLwTp3JcAV3hxf8LFKd2X1oGFaswlsCS4VL0JEuUPElzd8VN1w1elh7daOK3WuKla4KZugqtGgVuhAo8iBZ7CfotEqK47v7EjP7BGQfAlBaF1CsLr2xNR343I+l5E15twtL4vxy8PJv7qCE5eG8/Z65NJvDmD5FuzSb+7iJz7yyl4uBb1o41oHm+h6MlOLshG6gOUf3WYyq+tqP7ajkvfOVH3vRsNLzy5/KM3V38Sw/eUXPvZj+tC4rZRB7GbbwK49SaQ26JkQuS+fgviztsg7r4N4t7vQsHc/yOIB78HyYmjD/8QZ4BWf/rz8E8/Hv7l/w5c9/9UStd1660oj3DlyitH6n5w4NJzF6oeu1B+143Sa56U1HtTdMkL1UV38ipcyCpzILXUkqTSA5yv3MH5S2tJvrycdJHfergYzVdLuPDdcqperqH2zQYaft3Cld92cOP3vdz58zD3/rTh3h923H1rx+1f7bjx2o5rP9ty+Sc7Gn6wpe47K2q+OUjls72UPd5B8f0tqG6vJfPyUhKr53BCzM4vmIzPmbEccB7EwgXGjBvShWGmbWQP4ta1Bni4D8BLOZRDVkNYs8KcZfPN+GRCD8aO7UT/QW3p0a057ds1xdSwFROGdmT80I6MHNmeeSt7MWRQBz6dZMSCWX2Z/okZEyf2YM4cY6ZPNmbi+F6MH9+N2bMMmTnDiCkTjBk9qhfjpnbji229OBgqtkQbEligT0BhW/yLFfjrwCXLGBodVLHudlDASCcBrP9Lja7LSyTlNQo8VE1xzWuFS05HXLK64JzRAae0jhJcTmkCYFp4iXBR3jCKfNf5pnL7tShJUOa3l21viQ3DyLnzMcVPP6Psq9mUPJmF+u400upGEy9qHNOMcD/XDVvR9xirkOA6GK/A6lRz3EWRbY4BHglN2B+hdV0HYhTYnGqFW7IBPhkWKLMG4Z89mICcIfjnDcYnuz++OYMJVn1KuHoHEQVuhKuc8MvahnfmZ3jl9JdpHX9NE0LULQjL60VYVj/C08dyLEeUR2zgfNleUi8e0TkuaxIrrUl4H1xqS2ILrDiWZ0X0e+AKk+CyJjjFmqAkawLOW0twKc9aozwjwGWD70lbfE7Y4R3vgHe8ne75b5C9b7n+I8flkdcXz/w+eOf3kfASziuwUBSNakNHUfEuwVXUT+a+wgr7EVZoISvjg4XjkuAy0YaKqh74qfTwVXfCW/2BdFoCWi5CYna3GINbqMC9WIGHsOhiJZQY1ibmIVUpUF5U4F+jIKBGQdAlBSG1TQivaysBFlVvRHS9BTGXBxJ39UNOXhvH2RsCXtNJvj2bjLsLyb3/JQUPV6N+vIHCJ1spfirgtYfSr/ZT/vwglc8tufiNDZe+c6DuB2fqf3Cl4YUHl194cfmFN1de+HD1R1+u/KTV1Ze+XBOuTADttR833vhx840ft37x59av/tz+Tcnd3/y599aP+28DePC7/9/6Q6kFVyO8/vLjwZ9K7v3hy53ffWRR6tXXLjS8cKb2uRsXH7tRfsddC646bwqrPckrdyW71Im0EluSig+RULKPhIptJF4SG8OXkX5rCXkPv5DgKvnuSyp+XM2lV+up/2UzV37dznUduB7805bHOPLkn848+suVB3+4c++tG7d/deXma1euvXTk8g921H1rRbX47/R0DxdEQeyddeRc+5KUuvnSfUXkTJaV9F+u7M2ED/UY0/8D5n3ajQOHeuMXMZDgEyNw9P+QtZv6MnuGMSMGfUC/vm3Q69aMjh2aSHC1a9sUC5M2jB7RhWmf9+LTxV0ZNkyPieN6MW2qKR9N0Gf8RD2mTzdg5gxzJk8y4KOJ3Zg904hpk42YMNaIUeN68smSXqx31MfprAEBBT0JLdGTc+OE2xLlC8JdycS6cFCNKtIm2gW4BLA8RdL9vbMRYtKJCbiJzwW4CprhltsaVwGuzE44p7eT4BLQeicBr+SO2Ce1xS6pFTZJCqzPK7BJFmOfFXhmNSVI3ZnoUmNO1gwgoX4YiXUjSKgeRnxJPyJzexOYZoTX+Z44nBYjbZpwKE7BwXjR+6jA7kwzlBm9CMrqgtPJphyIVLD/qALb0wrcUz/AVziyTAuUmYNQZg8joGAIypxBeGdZ4Jsjnj/BMWk5TklrcUlajWfqUnyzP0WpGkxAYUdCNE2IUHUmMs+ciOyRRGZOJ161knMl20muOERKtTXJ1VpwScd1QTguK+LVVsSqrIjJF+CyJDL7iHRcYWnCcdlowZVsTWCSNf6JOsd11kYHL1t8T9rje9JJd9pLeGlh9j8cl0e+BR75fbTwEs5L1R9/GTL2I6S4n2zPCSsapIWWgFdhX8I0fQnV9EGASyhQbUyg2oAAdQ/81Xr4ipyWqh0eahEmNsFVDGJTK3AWW4F18HIrUuBeosBDLN0sU+BVocCnSoGvWH1+UYFftRZgge8A1onIOkOi6s04drkfsVeGcvLaGM7e+JjEm9NIuf05GXfnk3N/KQUPV6J5tJ7iJ1soebaDC892U/aVKD04QOXXR7j4rTU139ly6Vt7qr9zoOZbJy5960rtt+7UfetJ3Tce1H0r5E7ddx7Uf+8pAXflJy+uvvTm2s/eXH/lxY03Xtx84y2br+/+5su935Tcf6vVgz+UNEo4r0cCXH8ouf+7L/d+95GjlW/84s7Vn9yo+9qd6kfulN/2pPSKl3RbBRXuZJU4k1Zoz3mNFWfV+zhTtItz5VtIqFlN0pUvSb8twLUIzfOllHy3nPIXq6j+eR11bzZx+ZedXH+7l1t/HObeP2x4iD1PceYZYpigD8/+qeTJP3x48LsXd3915+bPLlx94UD9tzZc+voQlU/3UvpoO4X31pN/czkZlxdwuvRzPGM/Yvl6cyaM1E423bBWHwePvgTGDSI48UNcj45h68FhTJ9mwLBBbTE1aUXbdk1p0bwJXTo2p0OHpujrt2Tk2I58+kVPpszpKJuoBw/qwqhRvRg+XI8JE/UYP64rn0wxYdo0I6ZN02f2TBOmfGTA6BH6jJ3SgwXbDNgX0hPfLH1CivUILulAYHEL6bgEuHx1Dkuc4lZQ3gwKEDVKwEu4f50EtATQ3oWJ4u/owkT3/Oa45bSTSW2XjA44p7XXOq70zhJczgJgqZ1wSukg66fsk1vKBbJiiaxUkgIHAbAUBa7pCryzm+Of317bnaI2IDLPmNAsEwkukedyOdsFq/g2OselBZdYiOGQ0JyQXFMCUjvgcELB4RgFTgkKfLMUKLM6yZYiZWY/fLJEN8RQAnIH45szQLouZd5HuKR/zsGT09kfNxXrM5/hlrYA3/zPCSoaSmhhFyI1HxCtNiC6YBjhmZOIyV3M2cItMlxsBFeCCBXLLTkjwFVsTXyhFbFqa53j0oIrPPMIwnGFvgOXFYFJVu9cl985G5QSXrYoTzvgd9oR5SmHd9LCzP59w/WfyXn3PHM8C/pIiZDRu6CPDBlF7VVQUV9dX+Egba+hznXJHkRNX0IEvDTm2t42jaEElzZU1ILLU+S3VC108BLOS4GzgNi/w0vsrytT4FmhwEu4r4sKfKu1UuoAJhxYmHRfXYhs6MWxyxbEXRnKqWujOHt9Iok3p5B8+1PS78wj+95i8h+sQPN4HcVPNnHh6TZKn+2i7LkYmrefqm8OUfm1JZXPreSNXsVzWyq+ErVfDpQ/caTqsROVjxz/1mNHuVCg5rmT3AJc/50bl39w58pP7lz72YMbr724/cabu7/6cO+trxZOb33k+eAPX97X/d99dODy5uYbT6795E39N15UP/Ki/JanzG+pqjzJKXElVe3A+XxbTuce5mTebk5ptnDqwlrOVi8n8fJSUm8tIVeEis+XUvztMkq/X0nlj2up+XkT9W+2c/XXvdx4e5Dbf1hx/y97Hv7Tiac6cD3Hj6/x4/k//Xj6l5L7v3ly67UrV39yoP47ax289lD2eDvF9zeiurmStEvzCUn+hFXb+jFuTBdmfaLHwQOG+Ib1I+jMEPzOjcTt2CQs3T5lxYoRfDLdEPO+bWnbvhnNmzehQ9smcmrqqHGdGP1RJ3r3a8XYj9vRsUtTevRsjZlpO/patOHjj3syblwvxo7RZ/SoHkya1JO5nxsw5SN9RozoxeS5PVljo4/9yV6yDEcsZRFTesW0Xr8iBUo5dlxbfyVqsAS0pHtqhNb7p85xNYaHIikv1QgulQL3vKYSXC5Z7XHKaIOjcFwiXBRK74izUFp7WTMl+gLFuGS75Cb/Ci8dxOxTFDikKnARAMtqQVCuHmG5BoTK/JIJfsmGuInJEyc+4FCcGEbYTPY8Ctcl4OWe0o2wfH0CMtrhclaBS4KCoGwFftltCcg1wj+nj2wD8s8ZIuHlnzdEOi6fnOH4FkzEKuET9sRPYFfcWA6cnoxT2lz81fMJKfyQqKKeHCvqzlFVfyJzxnM0aw6n1SJc3E/KRSuSq21IrLDmXJk1Zy5Yc0qCy5pYlc07cEVkHyE800qCKyzNVrquoGRrgpJtCEyywT9ByA6/c7Yoz9rhe8YBv7NOKM84aiUgpnt+n1z/ESq65QrHZaGDlwVeBRZ4q8xRakThqDnBokm6eCBhJbrmaNk0LRqnG28hLQgWrT5qIwJUvd5Lzr8HL3UL3ESeQKV1XgJgQiJsdCt+z3mVa52Xd5UCHx28lDUKhPwvKQiqVRCiy39F1vfgaIMZcVcGclLA68b4v+F1dw7Z9xZS8HA5msdrdPDayoWvtlP2fDdlz/dS9my/TN6XPjpI6aMjlNw/QvEd7QZfsZ6p8MYRCq8fofCGJUW3rCi+Yy0nRIoRt1VPxD46Z+q+deHyDyLU8uDma09uiSUVv3lz5603d3/XSrgrAav3de+tj/y5W7/4cO0nJQ3feFP90JvymyIp70VeuQfphS6cz7fnTLYVsRn7OZ61nbj89cQXr+Rk1VLONiwm+cYish98geqrRRR9s4wL36+i/Me1XPx5E7WvtlH/ZhdXf93PzbeHufOHNff/4cBj3HiKN8/x5WuUfIO/BNizfyil+7r9xpVrPzpS940NNc8PU/lMC6+S+xvJv7acmNxZbLUezsRpXVm0pAeObqYExvYlMHEIXqdH4xo1A2efpezZMZMVK0YyYaIhZhad6NGzLUYGbejXtxWDh7ahp0FLOnZqwchRnehp2IJuPZpjbtaGMSM7MXFCd0aN6c6YsT0YPUqPT6b2YM6nvZj6sQFTZunz5R4D9of0wCOtC6HFnQkta01IaUsCS5rgV6zAT5y6kFGEiTI0/DdYSVC9VwohXjdCS7guCTxZBqHALbcprlltcc78AMf098AlAJbeDucMndLbyCZmMftKAEpINDz/i9IUOKQpcEpX4JHVFP9cPULzDAnLMSVEjLlJNcIzUR87MWE1ro2El5iiKkbmiB2KNmdb4Jfdk9C8HvilKfBKURAkHFdGGwJzTfHPGYBn2mD8soYTmPchAlx+uUNR5g7FL28IXtkfc/jUZHbHjmNn7HB2x4/A8txEXFJHEphvRnRhT45pehOVN4LIrOnEFSznXMkOUiqPkFQlQkUbzpXZcOaCLaeKbYgvbASXNdG5VkRmWxGRZU1Epi1acNkSnGJLULJWgUm2BCTa6+Blj/KsFlwCXv+u/wou15w+CNelhVdvvFTmeKnN8RFV7xozAgstCBYlEhJc2tDxb2j1I1h8LnsURbuPAf6qHih1CXqfxpBR57wEvCTAZLK+iUzWy5BRl/PyFGNyRd6r8u+wUTgvAS4/HbwCaxUEv4NXL47WmxN7WcBrxDt4pdyZQcbdWWTdX0j+w2WoHq2m8PEGip5souTpFoqfbJfz2VV3t5F3cyvZV7eTUbed1JqdJFfu5HzZThJLd3L+wm6SSneRWr6HzOp95NYfQHX1EMW3LSl7YEPVU3u5DbjhexeuvXTnxhsPbv3qye3ftFt2BLzuCb31/hdw3f1NhJfe3Hzty9UXSuqf+3DxgTcXrnmirvYgs9iN83lOnM60JjblIFFJu4lK20JM7lqOFy4nvmIxp+sWcv76QjLuLiDvyQI0z7+k5LtVlP2wnsqfNlPz8zbqXu/m8htxs3iIW28tufuHHQ//4cKTf3ryDB++fgcvsUjDj2f/8OXR717cee3O1RdiTbuAlzbnVfpoG4W3N3CmZDEHPMYyXQz/W6uPS4AFIef64588GM/To3CN+AQn14Uc3DqTTStHM32KEQMGdsTErD3Ghu0wMmyJqUkbunZvRWe95gwf1hFTi1YYGrSQI5+HD23Hh8M7M2iIHoOHdOaj8V2ZO6sni+cZsWixCWsPmHAg0ADXxO4EqvUIK22jBVdZCwJLm0loyRvFEgEwXZ5L3CDqAPbuFEl7XTlE4/nv4BKJec8CBa45zXDNaoVzRhvZqOyY1h4p6bza4ZT5gVym4ZzREqf05jgKOKVqwWUvzlQtvBqfBbjEz7hltsA3pzPBeQaE5ojtP8YEpIo8lxEOp7pxJLadhJfYoSjmfVmJ5a9nW+CY2ImgXGPC87qhTFPgfl6BR1JHfFN645cxDJ+MMXhnjCYgbwQBeUN1Go6f6ENVTcAxeQoHTkxi5/FRbDs+kJ3xAzhwcgge6SINZEh0oTFRqmFE5k7laP5iThdtIbH0IInlR/4DXHEaG2JVthzLE+CyJjLbWgcue8LT7AhNtSc4xU4qKNkOocBEewISHKT8zznh92/yT3BC6P0//+G4XLLNccsV4OqNZ4EAV2881b3x1phpW3Y0FrIZWuu8tK5LW+/Vj5DCvoRIcJkTqBETIYxk9by/ugdKdTd8dEl6L1VrZNioFmGj7pZRrQOXSNbrbho9RcL+vdtGpW6ErhjqJge7VSsQN4/CeYXWNie8To+oOkMtvKTz+pAz18eReHMyyXemk353Jpn3RN5LGzqqH61G83g9qgfrybm9jrQrazh/aSVnylcSX7SS4wWrOZq1isjUNYQlrSEkYQ0h51YTlriao2lrOZm3mfMXtpFRs5uCqwcouWNJxSM7ap470PCDC9d+dpfh3+1fPbnzmxd332olwHXvdy/uS4h5cfc3L27/4s31l75c/k5J7TNfKu/5UHzFk7wKN5JVTpzOsOP4+SNEntlN6JlthCVtICprJUfVXxJbvphTtQs4d20eybfnkf1gPqpnSyn5ZhVl36+n4sVmqn/aSu2rXTS83svVNwe58esR7ry14/6fzjz6hwdP8ZG5LrE8oxFgInwUzuvh797cfuXKlR8cqP3GimpxufFELFXYSlrlClyDJrNklT7rtunjGt6H0JRBBKYNwevMcFxDJ2Bn+wn7V49n0/yBzJtqyOgPO9PbvB3du7WkR/cWGBu2xci4HYZGbRg6pAMDB7WVM+sHWLRhQL82DBzQmSGD9Rg4oANTp3Rl+WJD1izvzda9fTgS0Bv3c4ayzEAscBHgChOOq6wFouhU1m+VasshGgEmk/SNt4u6UPAdrER7T2PZRGNhqnBrIlRUK/DIF+BS4JLVXAeuVjp4tZXuS4SOTgJYGc1wytA6KQGld/B6D1xy3EyqgJp2GqlrZgt8cjoSlNeLEAEumecyxfu8CU6nemIpFsDGtpVbgixPtsLqVCvdKrKOeKQaEqEyIzSnLQ6nFdjGtZG9ju6JpvhkjJTw8sseRUDucALzhxKkGkZA/jD8C8bgkTUJy3NTOHBqCrvjRrA9rg+74/rhmNyfQJXoojEhUj2YyPwpHC1YyKmijSSW7uO8AFeFLefKbKXjOllkS5zGVoIrJl+Ay4aoHBsis2yIyLQnLN2e0DR7QlK14BIAC0q2J+i8A4GJjgQmOhGY6ExAohMB8hTPf+u/gss5ywLXHHPc88zwyDeT8PJQmeClMcNb3Vs2S/tp+kp4hRQPlAWqjeASuS4tuCwIEu5MzHCSSfpeEly+aj1ZzyVuGAW4PGU9Vys8NE1wF+URuhIJCS7xjdj4LSh+mUSrhm6wW+DFJgRWtZD1XkHVzQiqaUrwpaaE1n5ARF1PjtYbcfyyBfECXleHc+baGBJvTiD59lRSb88gTawOu7uAXAmwZWTfWUbKlWWcrV5CXOkXHFUvJCL7C0JSFuF/dhG+8YvxjF6ES9hCnELm4xw6H7eIBQScWEp02ipOaTaSWrWD/Mv7KbltSeVjO2q/ceLKCzduvHLn1hsP7gh46SRAde93TynxLKB2640X1370oeFrXy499qH8tg+F9Z5kXXDhXLYDseetiThxgKDjOwiI30RQwhrCMr4kumAJx0vFTsaFnLo8h4Qbc8kQYfGTLyl+vorSb9dT/sNmLv64lUs/76Du1R6uvN7P9V8Oc+utPXd/d+LBX+48/qe3DBmf4S0BJkLH5yjlGjOxBejBW09u/uzM5R9sqf3mEBef7qPi3m5UFRuICPuc3dst2HXAGJcoc0IyBhOUNRSfs0NxDvqQQ/uHy9laqz7uzqKP9GSl/YeDO2Fm8gG9zdpjYdERc4sOmFu0YciQDvSxaI2pYQv6mLamf5/2DBzQhRFD9Rg3piPzZ3dnw0pTtm/pwxG3/rjH9SUg24iwkk5y2XAjuELLWhDcWC3/HrgkvHSwetf2IwD1XtuPeBbja+QIG/FZI7hUCjxyFbhkK3DJbCqblcWqL4fUFjimt5R6By7htNKb4Jj+N7SEsxKyF6FjalPtnCz5LN5viktGS7yz2xOYK3ZCGklwBaWb4ptkhssZA6ziOnEoti2H4ltyWIKrjXYB7OkO2CXo4ZupT5TKCI9EBQdEUWqUArtTrXBJNMIrdRh+WWMIyBkpHVeQehhB6hH45g3FM3c89ilTsEqczv6TH7Ezbih74vtjmzQQ37yBhBaaE6npT6RqAtEFczhRuJrE0l0kVxwmsdyGc6V2nL5gywkBLrUAlx0xBTYczbMlKseWyGw7Ca7wjEZ42REinFeykINUUJITQUnOBJ5vlCuB590IPC9OF6n/Ci6nDAtcsnrjlmsq4SVcl6faFC+1qQSXr9ocP42FnPIgJjwI5xVS1FcnbagoWoZE65AYQBcokvQaA/yE69K1//io2slbRi91azzFCFzRaS9quoTbEna8UHvD0wgu+Q34rkC1JYFVrQmsakdgVUeCqjsRWN2ewJo2hFzqSHhdN6LrDTjeYEJsQ2/iGvpx8soQTl8dwdlrY0i4/jHnb0wjWZRN3JhJys15JF1bwJnaecSWzSFaM5uQ7JkEpsxGeWYOnrGzcY2cg0PQbGx8ZmPpMZMjHp9j7TML17B5BJ35kuNZq0ks2UzWpd1orh+iXLfKXISM11+KEgN3bv8i4OXOnV89uPObJ3ffenD3Ny3Qbv/ixc1XPlz9wYf6r3ypfujDhRteFNS4kapx5ESKDZEnDxMYvRdl1FaUxzfgd3o1QalLiMhbxLGShcRdnM/J+tmcvTqbtDsLyXu0jKKvVlP6zXrKvt9M1YutVP+0k9qXe7j8ah/XXh/k5q923P7NkXt/uPPwLy8e/9OTp4iw0UvnvrQu7Nk/vXn8lxf3fnPjxs8OXPnemoanh6m/YUWpahdnAr/Az2oizs5DcTvah5DsoYTmDMfv7DCc/Yewb3tvVk9tx8px7fhyTCcWjunCnPHd+fwjQyaPN+TD4d0YMqQzw4Z3YfDQTvTq1YpuXZtiYtSWAf26MGRwJ8aO6Mis6XqsXNSL7evMOXRoIE6h/fE9b05wgT5hwm2VtSNcqLw5YeXNCSnXtvnIVp/S954FmES/ok7vIPUevCS0xOeiUFXcSBYqZDGrZ64C1ywFzukKuXTCUUwWFfBKa66bKtpSe6Y11UHqP8PERmhpHZeAmBZozulN8MhsTUCuHsECXDJB3xu/FDPpKm1PdJGO61B8a7mM48gJMSK6DZZyl2IrnM53IjjHnMh8E+ziFOwRTdjHROlEa9ySzPFOG4K/dF0fEqwaTqh6BP4Fw/AtGItr1sfYJE2S4Dpw4mP2x4/B8txw3DKHEqgaQKSmL5HqEUQWBHQ24wAAIABJREFUTOW4eglnireQWLafxDJrzpbacKrYlvhCW2LVthxX2XEsXwuu6FwBLzsisuxoBFdYugOhaQ4Ep2ihFZzsRHCyM0FJWkAJUAUluROUpAVXUJIrQu//+Y9Q0TGtD86ZFrhkm+KWa4x7vgnScQlwacxkrstHY45STnjoJ28ag4v6IlXYlyCNuYTW3+AyJkBOiRAN191QFnTBt6AjPgXtEADzVrfGS4BL00Q6L7HiXLRUCHh5FzfF90IzlKUt8StrjX95BwIqOhFY1ZWgqu4EX9QnSKfg6h4EV3cjpKYTEZe6crS+F8cbjIhtMCGuwYz4hn6cuDyYkw3DOXV5FKevjOf0lY85e3UaZxpmcKL6U6JKphGcOxVlyiQ8T0/B9fhUHCOmYe03hQOuk9lp9TFb938ktdPyY6zcZ+B7bCHRKcs5q9lAZvUOVFf3U3rPmuqn4jbOiWsvXbjxyo1bv4g6KSEPbv8m5M6dt9r816032jDxyne+1D5VUnnXh6IrHuRWuJCYZ0fMOUuCjx3AN2wX3uFb8D66Ft8TywlIWkhIzlyiCudxvGIu8bVzOH15Dim3FpLzYBmap2u48PV6yr7dQvl3W6l6sZNLP+2h4ed9XHl1mGuvbbj5qyN337rx4E8PHgl4/eXOk3966QDmybN/emn1lzdPf/fm4c8e3PnGhet37Kkps0FzfhfZkZs54b2QAN8J+BwfSljWh0TkjiLg3BhclSPZv7Uv66bpsXpCF1ZM7MaKSd1ZNaU762YYsXyGGfOmmPLpRCM+mWjIpAm9+HBwFyzM2jLQoj2jhnZi/Oj2TPu4M1/M7MqaZYbs2d0XW/dBuMeZ45+lT2hRZxkihpe1IaKsjRZcFQpCKhQEV/zdYN3YaB1Y/vcuRQEoMdqmURJYOncvPxOOS5RTiF2j+Qo8csRmHAEtBY66AX3SdenApQVYU21OSxcW/l/5rcYEfSO0hBMT7swtszXK7K4E5RgQnGWCcFx+yaZ4JooN1nociWvHO3CdbI/l6Q+wOtsKq3PNsTnXFufzvYhWD8AvvSsHwpuxK6gJVnGtcDzXA4/kgfhmjCAwdzQhYnikeiSBqmH45X+IZ85onNLGc+jMBPbHT+bQqWkcPDkem4TheGf1l73JUUVDiVKLcHE+cZo1nCvZTcIF0e5jw8kiOy24NLYcV9tyLN8OAa33wRWR6UB4hiOh6Y6Epgk5EZLqTEiKkAvByW4SVlpQiWdX+Z54Pzjlf4ErpQ/O6ea4ZJngmmOAW54h7ioDPFUGeKmN8dYY46MxxbfQAj8BL12ZxN/w0rotAS6RpJdjfzV/w8tf1Q0/VWeUqs74qjriq/4AH3VrvEULkATY31u0fYpa4lvSFr8LbfEv+0D2MgZW9CC4Sp+Qi4aEVBkSWqU95euL+oRe7E5YtZ6EV7QIG+v0iZEy5nidObH1/YmtH0xc/TDi6kcSXz+W2EsT5Abp8KIJBOSMxzt5HG4nx+MQPR7LgLHsdR3N1sMjWLN1KMvXDmT56kGs2jiUbQdG4ug3neDTCziRt5LUio0UXNnNhbtHuPjUlrpvHbjyoxPXX7ly842LDlzu3Pq1UR7c+sWTG8JtvfCVYWLNI1/KbnqjrvUgvcSRU5lWRJ48hF/oHrwCtuMevBHPqNV4xS1BmTCHoKxZRGhmE1M+lxOX5nLm8nySbiwi894yVI9XUfzVOkq/2ULZt9uo/GEHNT/upu6nvVz++RBXX1lz4xd7br914e7v7tz/00MHME+57fqJyH39w5Ov/uHF138p+eq1L/efuNJwyZrKvEMUnTuA+uReso9u51Tgl4QGzyAgbhTHcsZzLH8CwQkf4aIcw54NA1k/XZ/Vk7uzZlov1s0wkCvHtsw0ZsNsU1Z+aswXU02YPdmMzyYZM2WsPmOHdeDjER2YObkTC2Z1YeYneiyY2YP1G0044NRHhqTif+hglR6hJc0JK20p3ZYAV0R5azlAMLRSCy4Br/cVJFIOFX8vyXh/048EmNizKMbfCKiJNIWuYl4k5t1EfitDW4PlkNRUrrQXOarG8K/xlLCS4BI3is2kGmHVeGp/Vhc+6sDlmtEGn+wuBOYaESwcV4YpAWmmeCcZy7E4lmI/Y1xzuT1IhIuWp1vK+fYiSS8AZpvQAd8MUzkS2uFYB3Z6tWR/aGtsTunhktAHn/QR0nUF5Y+UUyNEuBigGoFf3ihcUkdx6NRYDpyYzJEzM7E+OxP7xGl4ZY4iQgxWEBNiNOOJLpjJcfVyzhRv52zxIU4X23Ci0J5YAS0duI4W2HE0T8DLTjquyGx7IjIdCc9w0oIrXZzOhKS5SAWnuhKc4q6T2ztghaS4E5LqRkjq/wCXQ1JfnFIscMowxSXbCNdcQ9wK9PFQ9cJTbYCn2hAvjQCYOb6F5nK+1vvwEuOXtTeLjc5LC69AjbE2bFT3IkCtJwtT/dSdUKo7oFR/gFLTFl9Nc1nk51PYDF8BraJ2KIs74FfSiYDSLgSW9SS4woCQSmNCK3sTJmVKWKUpoVXGEmQhF3sSIuHVjfCaLkRc6kLUpS5EX+rC0dqeHKsz5lidOTF1/TleO4TjdcOIqRlJdOVoQotHE5A7Au+UUbieGoV99EiO+I9kl9MQNu4fyPL1fVm81JxFi8xZ+mVf1m8diJXrBJTHPuN4xhKSS9eS37Cd0rsHqH5qTd239hJc13524cZrV27+4iqd181f3GSLz/Vf3GXN17WffLjynTZMvPjAR94m5l10JUltR1zqEcLiD6IM2YWH3xZcA9fiFr4Mz9iF+J6bSVDWTCI1szheMZuTtfM4e2UhSTcWk3H3S/IeraDw2RpKnm+g9JutlIvm6h92cenHvdS/PMiVV0e4+tqWG7+KhbBu3PvdnXt/ePDwd08e/eHJoz89efqnJ1/94cWzV57cuu3IRc1+Ss7voPDELvJjdpN3bBepYRs5EbiEiPDphJ39mFNF04jXTCPs/BRclePZuX4gqwW4pvZk7Sf6bPjUkK2zDdg2x4hNs03kWrJln5iwYIoZc6eaMXOSKTM+6sbMSZ2ZP70zCz/TY+6M7ixZZsxWy97YhJrilWhEoEhiF39AyIXmiJyWSMqHl7WQjkts+BHz5sXwwBDdBNTgxu0+VbpN1rpxzI2LYRs3/jSCTIzAEeASjstHd6MowOWcoS0gtdeB628wNfs3gGlvELW3h7q8li63ZSvKIsTtYqMrk+Bqjkt6WzmNNCDHiKBsM4LFnsUMM3xTDHE5p4f1yVYcim/CQVFwKmbY68oixHIOq7Mt5CQKp/NdCMmzQJlowj7fNmz3bSpDTPszBngkD8Y3cySBuaMIUY8lSD2KQNVwAlUj8cgYzcGTozh4aipW5+bjcH4JrilL8cmaSUjhECKLLYguHEWUagYxqqWcKtzMKc0+TmisidfYE1toL8EVIxxXgT1HhevKsyMq157IHAcishwJz3QkLMOJsAxnQtNdCE13JUQoTcDJnWApNwSwQlPdCU0TciM03e39SPE/C1DtEvrjkGyBY5opzpnGuOQY4JrfHbeCnrireuEh4KUR8DLFu1AbOvrJGi8xL95Czo0X8NIC7H14GROkETIgUNONAE03/DWdpPzUHfDTtMdP0wr/wpb4FbVBKaBV1BH/4s4EFOsReKEHwWWGhJabEF5hSnhFb8IrLIioNCeiUjybElJpSHBVT0KquhN2UY+w6k6E17QhvKYlkZfaEFn7AVG1nYmu1edonQkxdX0kwI7VDiL64hDCSoYSUCDGgnyI25kROBz7kCOBw9nlMoiNB/qzYkMflghwfWHOl0stWL95AJbO4/GJmsGxtIUkXVhNXsNWSu/uo/qpJXXf2HH5hSNXf3bh+mtXbrzRAuzGG1euv3Hh2ms3rv3syZUfvGXtVu0THyrveFHc4EZ2uRMJ+TbEJh0hNPaAFlwBm3AJWI1L2BI8Y+eiTPyc4OxZRBfOJq5yDqfr5nHuqhZc6XeWkvtoBeqnqyn8ah0lzzdLeFV8t5OLP+yh9scDNEh4WXPtjRO3fnHlzm+u2rDxN3cevPXg4VsPnvzmyZOXbty4aU1J5lbyYtaRH7WRgqNbyIzcQmbYZpID13Ay+AuioqdzNG0GSVVzOFM6m8jkGbgpJ7J9TX9WfKLPyik9pePa+Fkvts7uxbY5+myZZcy6z0xYMd2YpZ+YsOTT3iwW+syYxZ/1YulMfZZ8bsDieQas2WnKft/euJwykrVLQYUdZaGpqNkSCi1rKhVR3oRGcIXq4NW4mkyMbBaLMuQ0VN2WHwEs8b4c5/zee4HClYl8mCijEDVcOscl8lui6l0uokhqLotLRYGpANjfeStt8l37ujEhryuFeA9YMlRMFaFlCxxTW8uZ8J6ZevhlG2rBlaUFl1+qEe6J3bET7T8nWsjlG4dPacF15EwzhOSk1YRm2Ca0wSOtJ6HZ/fA+Z8DeUAV7I8WM+m64JPXHJ2MEATkiXBxLsGocgQUjCNaMxTf3Yw6fHs/+E5OwOvcFTklr8EzfiDJnJQHqiXI+39GiD4lWT+WYagEn1Os4odpJXMFh4sSXrABXoR3H1CI5by/hFZ1vT1SegxZc2Y6ES3g5EZ7hTFiGC2EZrlISTmnCXQlQuUpghaV7IJXhTmiGx/8A17kB2J/vi0OKGY7pRjhn6eOS2+3/Ay9DGTr6akzxKzST8+KDBLxkcv7fQ8ZGcBkSqOnxDl4Bmi7vABagaUtgYVsCitoRUNSZgKKuUkHF3Qgq6UVoqSHhZSZEVvQmqsKC6Mo+RFUIWRBZYUpYuQkh0pF1J7SqM2EXOxBW3ZbwmmZEXGohFVnbmsjaDogwMlo2bBtxtM6c6Jp+RJQNIFA9CN+MoXgkDMcxdhiWwcPZ4z6ILUcGsnpzP5Yt78PSJRYsX96XDZsHY+X8Eb7RM4hJW0jyhVUSXBfu7qX6yRFZtHn5B7FA1olrrwS8nLn+qlEuXH0pKu49qP/ag9qnnlTd96LshifqS65klDhwNtuamITDhB7fhzJ0B+6BG3EJXIVr+Bd4xc8mIHkWYXmziCmZw8nqOZxrmE/itS9IubmYzHtax6V6shr107UUPdvIhedbKP9mO5Xf7aLmh33U/7Sfyy8tufbKjhsSXs7c/s2Zu7+6ck/A61cPHv7sxq37dpRkbSErcgVZoavIDV9PduRG0sI2kBGyntTg1ZwJX0RM3ExO5c8ls34ZSZVLOJY6FzefyWxdOYAV0wxYMbknqz/pyeaZPdg+txs75nRj2yx9GTau+dSIVZ8bs26uORvmm7NugRnrFpiyYYEZaxaYsmatEdtsjbCOMsQrVZ8gVXeCi1tLcAVfaI5QSGkzCa5wAa4KBeFV77ku3aaf4GoFIbo9i42wkjB7b4FG4+sgMeJZ5LvE7bbOcblma0scRDGprdigk9Qc2+Qm7+Al1oA1hoLa50aYve++tM+NCX2Z3NfdTjqlfoB7hh7KrJ4EZhsRLMFljn9abzzPG+F4pqtcknH4ZFuOnGoui1AtJbQUiEmrVglN5Lx7h8QPCMgRZQzmeCe3QkxLPRjTEccEczxTh8lcV3D+GEIKPiJINYYgzUcEqj/DMWk2++MmY33uC5xT1uGVuRVlzhb88hcQUTSco0VDOaqZyNGCzzmev4z4gk3E5+8jTmVNnMaO4xo7YjT2HFc7EqNy4GiBA9H5DkTmCng5EZHtRHiWE+GZzoRnaqEl4ZXuRli6u1YZboRluBMulOlBWJYnYVle/x1ctmcGIl1XkjkOqSY4ZhrilNMDl7zuOnh1x13VQ7ov4bxE6NiY95IFqgJaRRZyGKG4XdTeMJoRXCh28wkZyx19QYU9/4ZXYVcCCrsQKJo7izoSXNSZYNFvVtyN4OIehAhoXTAkvNRMByxzjlb2IaaqL8cu9uVoVR+OVpkTKZxXpTEhlb0Irer6HrxaEVbTjPBLCiJqFUTUKYisb09UQ1eiGnoQXW9E1CULwspFGUdflNmD8UwailP8EKzChrDPazBbrQexbsdAVq4dwPLl/VixvC/rNg3E0kkHrvQFJJeuIv/yFi7c3cPFJ4eo/dqahu/tuPyT47sN2FdfOnD1pSNXfxKlBa7UPXfj0mM3qu65U37LnZLL7uRVOZGiseN0piUxCYcIiduLX8Q2vMI24B6xHM/jIkycRWjmbKLUM4kvn8XZ2rkkXV1A2s0lZN5dRu7DFeQ/WknB49Won6yl8OkGip9tovT5Vsq/2UHVt7u49GIPdT8e4spLa669tufGGwdu/uLInV9cZb/ivTfu3P7WkepL+0g/voJkv4WkBa0gJ2oTuUe3kRO9jVzhuiLXkRizhBMJ80gqXUre1S1kVm/mRMZKPLxnsnnZMJZPNWLF1F5s+LyXHNO8d35X9i/QY8/87tJ9bZipz4bZhmxeYMr2Rb3Z/IUZGxeYsEnAa5Ep23dZsM+1N3YxJninG8m6rcCilgSVNCeopImcLR9SqpDgCitTEFHxnuvSLYMN1cFJgksHMPHcCLMQMY1E91qcAlxBInEvClPFTbdKm+MSVe4OohI+WbitljQCSoaM75U6CKDZJjd7t9ew0Y2JnNj7sBILWkVbkPj7DsltcEvrgm9mDzm6JkiGiuYEpPXGJ1ksxeiB7elOWL4DVxMsz2ihZZ3QDGsx6z5JIeHlkqJHiKoPEQUWWInZXSEKLOO743K+r5zXFZg7hqC8CQQWjCO4cCLhJXOIvLAZ3+xt2J1bjFPyajzTt6HM3o0ydyNhmqlEFg4nWjOKY6qpxOR/QVzBWuILdnNCbamt4RLQ0jhwXPU+uByJynN8By4Br4gsAS4hFyKyXInIcici00OCKiLLg3fK9iQ8x0vqfXL9x62izel+2J7tj12i1nU5iEH72d1xzu2GS15XXAu64qbq9i9howCYgJdSbSrbgqTj0kErtLgPIUW9CSkyk3oHLo0BwUU9CSrsTlBhV6mQos7alo2SboSV9CCspBdhJQaESWgZE1FmTmS5AFVfCa3jFwW4LIiptpBn9EUzIqpEzsuY0Cp9QkXIWN2J0Jr2hFa3JfRSU8JqFYTXKYioVxDZoCDqcmuiGroQWduTsEoDuRpNmdNf3sA4nRiIVcQg9vsOZpvtIDbsGsTq9QNZsaI/K1b0Zd3GgRxxbATXfJJLV5J/eRMX7uym8tEBqp8d5tK3VtS/sKXhRzvt+cKWyy/saPjegdqvnal+7ETFHSdKrztRdNkJVY0TmRfsScy35kTGYY4l7ifs5E6C43YQGLeBoNMrCUlaQkT2Qo6pFxBfNo+zNWK35EKy7iyVs8jyHq4i/5HQSnmqxLLZx+skvC58tYXyr7dT+c1OLn6/i9oXB2j48QhXXtpw7ZUjN147ceu1s+xTvP3SletP7Cgv3c758Pmc9fyM88pFZIRvIid6u8xxqY/vJO/kFlLPreJ8zlJyGjaiuir2Pu4jLmkT9o5zWDl3CIsmGrByhj5b5xqwZ0EPDi3Sw3JpVw592ZM9i4zYMs+QDfOM2LTADLF/ceMCM9YvNGHTIhO2LjNn544B7LEbgHXYANwTLGQzdYBaNFI3lRJLMbSOS4F0XDrXJTb8iDBRSsCqRue4qhWE1WgV+t4ZKpr4xc80QkzAS+e6xJx599ymuGRqi0a1wGop81ri+X1wicT7u/fEZ8kCTm1wEL2LOom9hgJgTsJtCXCJn0luiUtqB7wzeuCfbSTHKAt4BYp6rhRj3BJ7Yne6E1ayjks4LgVWZ5tq3dY5MeO+iZxCYZ0oHGFzPDN6EK0aiH9qd/aFi/KI5jicM8E7bRTKzDEE5H5MUMEEQgsnElEyjciSL4guPkhA7kG8M/fhn2tFSIEjgflWRGjWEVU0jaNFozmmmUSMegGx6rXEq3cRpzokm6tj1fbEqp2khOs6pnLkaIET0flOROe5EJXrQmSOM5E5LkRmu0qF57gSnuNOeLYHYdkehOd4ECGAJaHlSUSu0P8IFW1ODcTuTH/sE/pqc13pxjhm9cQppxvOuXq45nfBTcCrMeclkvbyxtHoXdgoehqDxE7F952XvGUUOS+xtsyYkEJDggv1CS7sSXBhd4KLuhNa1FMCK/yCAREXDIksNSVCqMxEKrLcQoaGxyr7cbyqL8cviq3XFhzTOa7oKjMiK00JrzSUEAqt6knYxc6EVbcnRKimJeIXsxFe4QJel7UAC69tTcjFDgSWGKHMM8c9pR+OJwdgFTmQ/cqB7HAYxMa9g1mzcRArVw5k5Yr+rNs4mMP2H+EdMZ1jqe+B6+4Oyh7spfzRPiqf7aP660Nc+u4INd8dlqeAWfVX1lQ9sqP0ti1FV61R19qQd9GOzFJbUtQ2nM2xJD7tMEfPHyDy3G6iEnYTnbyFYxnric1fyYmSJZypXEJS7SIyri0h795y1I9XoX68BtWjtRJYeY9WkvdwBQUPte9rngjXtZnS59soF5NPv90jQ8a6Hw9y+aUVV1/Zcv2VI9dfO3DjlTM3fnTh8mM7ykq3cj58Jmfdp5HoNYv04BXkRW1BHbML1Ylt5CZuIiNzNdnl6ym6tR/15UOkXzhA6PHNbNsyjTmTzJn/kT4rZxiwbZ4he78w4PDSHlgt74HlSiMOLDdj2xcmbJxvzPr5pqybZ8LaecJpmbF9RR92rR3I9k1D2HlkCIf9h+B0UmyxMcK/oCPSdRU3JbikCdJxlSoIK2v6f64mk/CqUSBA1QgrAS/hxMN0ChX9r2IG3CUF4eKz6uaEVbYh8EJbfETNYX5zXLKb4Jgh2nYErFr/S0JegMheKK259tS9ltBKaSOXsWqXsmqBJdxWowS0hMTuQ88MkefSJ0jcLOryXP7pRngk9cDhTBesZP1WM+m2xOJZESZKaCUosDnfFJukJjKUdUr5AP8cE2IKB+B+vgUHohVYxfXEPWk4PukfEZQ3hZCCiYQXTiKyeDIRRdOJKFjLUbUjoQXOhGlciS72IrzQlcjCwxwrWk5M8RRiiidwvGgOsZpVxBduJV6znzi1DXEaJ2I1zlLHNc7EqJ05pnLmaL6rVHSeq4SXAFhEjisROW5EvpM7kTkeWklYeRKZJ+Qlz//quKxPDtaBqz/ihtEhzRTHTH0cs3tKcLnkdcE1v6tO7yXtRcmEWpRKiGUYIt/VW5vraoSXmNmlK0wNLTQltMiI0CJDQov0CSnSJ7S4F2HFBoSXGBBZakxUmRnR5b21kjmt3kRX9OGogFZlP2Kr+hN7cQDCdcU0gqvSXOa/BLhCKw0IlSFjZ+m2QqpbacFVK6ZKaCXAFX5FQUSD9nXQxeYElHTDJ98E91QLHE/1xTKyvwTXLsfBbNo7hLUbB7NqpYDXINZvHMpB2/F4hn1CdMp8zpesIK9hIyV3t1H6YCelD3Zw4eEOyp/spvL5Piq+2kvlV/uoFJNYHx2i5PYR1FcOk1N9iMyyQ6QXW5OssiQh15JTmUeISz1ETPIBYpL3E5u+j5O5OzirEYV/60mpWUV6wypyb6ySm6+LxOSLZ+soeroWzePVFDxaJaGV+2A5eQ9WUPBIzCVbT6Hoz3y2hTIBr292y03al344QP2PR7j80pqrL+259rMd13925NoLZxqe2lNZs5PMk3NI9ptGmvJTMoMXkh+1ClXMBvLObCAnYwP5pZspvrabC3esya+14mz2fhw9lrN4/kimjzFi1jh9ln1iwMY5huxaaMiBL/U5tNyAI6tM2b/CnG2Lzdj4DlomrFtowtblFuxeO4Bd6waxdeMQth4azF6fAdjFWejA1Z7AwmYEFTclpKQ5IWIVWWO4+H/sVAwTLkvntOQXmA5aEQJSjfDS/X5E1imIrv2A6JouRF7UI7SsK35FHWXhtFtuC5wyRZmDCO8EuLSgktXzOhcl8lcSXrK+qxWOqR9IiRyW3CStg5hjShs5+kacwnU56DZOu2d0QJndk6AcUYhqhnBd/unGeCUb4HROD5vTbWQZhJUIEyW4tBuFxEo0MbRQwEvk4OyTmuOW1pHoooFEqIywO6ngUExHXBIG4pM6joDsjwnOn0yoegrhRZMIL5xISM4sosToZbUXR4uVxJUFEVsaTHShG8eLdxF7YR4xJRM5XvIpsUVLiC9eT3zhHuILRVmEC3GFLsRqXDiuU4zalWMFblJH892Q8MpzJTLPjYhcN6Jy3YnKcSM6153oXA+icz2JyvMkKt/rX/RfwWV1Ygi2pwdiL5P0A3BINcch3RTHLJHr6oZzXhecdBIA04aN2pyXtlBVC693yXqxkboRXvLsTWiR2XvgMpTQChUhYbHWaUWXm3G0ojfHKs0llASYBKC06k9c9QDiqwcSXzOY+JqB8n2t6xKJepHnMiW0wkjmukKquhJS3ZaQ6mbS/otv1EZwhV1WEHZFq9B6kd9ohv+FTvjki7G/pjietsAysh8H/Aayy3EIm/YNZe3GIaxaOZhVqwa/A5d76DQiz8/lXNEycurXUXRnC2UPt3PhwTYK722m6MEmSh79P8Leg6vqc1vfJtUUe0OQZklMYqLG3hKNibHExBp7ARVFBUVBepVeFh1EpffeWYWyWPQOahIVezf9vN/gesfzrIVxn73/+2SMe/w07pE9xj4nF/eczz3nPE7zQzuaH56i+YEDujtnaPj5LLW9jpQ1n6FI40iB0pm8mnPkVDqRWeFEerlemdXnyFGfoVhnT2XnKWoHTqD52ZaGW0f0/+zHR2h+epjmZzZ6cD0Wrms/mgd7Ud3fi/LeXtT391P3wJpGw3B5y9PjtL04ReevDvT+cZaBv5wZ/NuVa//jzvX/z1Ous/npLz+uPvel/5YLuvr9qLO/Q3VpI+rkLWjSfkSdtQdl2QEaWo7TcfMsXQ9c0N50parNhfgUO44fW8/G1Z/w9QIL1i42ZcuXprIBf3yLBQ4/WnBmlzlnRRm4czrHtllJcB3ebCl7W0d2WHJq/ywcrT/j1KFPOHr8Y465zeKMYjo+OeZE1E4hqvFNopuMiGl6gzg8PrEDAAAgAElEQVQDvBJkk97gutpfk3kuEYcQbutij17SSQloGSTAlSx6n8P9zwEjUgbfI23QmNQ+cy53m3Gxw5LY5qlydC1EPZaAGrGm+X0DuN75Z9yn8l18BLxekdgg4Sd3do3Ct1xID7FhFyZKR2+pt/Qurvx1AqtGE2EIoiYoraTriq6yIFyscy4aj2feO7jlvYEAl3u+Ee4FwnXp4eUpykQDvLyK35JgDKsxJbN1LlG1Y3FJfx3X9MkEFH5EWPkiomq/JLZuFQnaL0jSLidBuYrEWlsuN4SQoosjt/Myxd3ZZLckk9nqS0b7QdLaVpMmrqI3f0+6bi+ZTSfIanIhq8mPrCZ/0rUBL5XWGEhqfZBUSl0QEl6aQC5pgkhWB3FZyACtK+oQrqhDuawJ5XJd2L/ov4Mrew6eeXPwLvgM7+LZ+JZ9hE/FdPyqLfEzuC4/9Vh81WO5oBn/T8+rQcBLn/MS/a4IrSWKpmnE6PTOSzbqdR+QoBMXhAS8zEnUGVyXzsTguExliSjAldo5g7SuD8jomUVm78dk930ildU/m+yBOeQOzJXKGZhDZt8npBqa9Jc6Z5DYPo34dnPi2k2I6xhPfNdI4rrf0TdhRf9ClAICYIMGaF03Il6CSwzljiSizozgymn45X6I26WPOKeYzSnhuBzncujoXPbvn8O+/Z9iffgzznksIyh+DUlFm8ht/JHq/gNoh47Q8uA4zQ+O0XDnEKqbe9EM7UMzdIj620epHzpO3S8nqe23p6ztJHmak2SW25NeeJqMojOkFzmSXnqOrApnsqudyFc7U9R4hqrO09RdPYv25lma756m7cEpOp7a0/7cjtbntrQ8F6WgNY0GcIkSUX1vnx5ccg//QeoFvB4e1q/2eXac9hen6P7tDH1/ODHw13mu/o8r1//Hg5/+9ub6X75cE6utH/vQ+/NZdA0HqSvZiSZ/F+rCfagqDtLQbEvXLUcGn7nT89iDhutO5NTac85lC9s2LWbd8o/4ZuE0vl5kyvcrzdi71pLDm6Yh4HVyuyUntlly9AdzDn9vLkvFo1tEn8sM2+2W2O2axYn9szlm8xG2Zz/gVJA5rikTCSofTXT920RrDYcwmoyIFfBqeoN43VvSfclAqhj9MVyyFvGI5G4jknuMSO41YhhWAliXhITDGjDiyoARqQMjyLhqQqbYNNI3Sz4AXeqYRWKLmNG1JFxjSlCNuFE4Cp+y9/ERIBIn7cWAdfX7+q8cthZ7ukbiU/Ge/HMBrX8FmB5iesiJ0lKf9RIp+oCqkUQoJ/+zKaJmGtFV5kSWm8kzZ975IjUvVtu8ZgDYG7gbykWPgjdxL3oLj+J35I1HsYVVODoxb3ilaQYXCt/E8ZIRntkmBJXMIbJ6BVGqL4lrWE1i45ckab4kvnYvF+t8udwYT2bzZSp6S6juq6S4J4XcLmfSO9eT1rmUtLYNpDfvJbP5OFm6czKImq3zJ0MbIKUHWCBpDcFSqfXBCAmAXa4L5pImmCvqVxVKiiaMK/Xh/6b/Ci73nHl45c/Ft2gufiVz8SubjV/5h/hXTcO/xgx/pWjSj5fQegmuOsNLY4PIeYmgqglhjaZENlkS1Tyd2OYZxIsm/SvgStRZSnAJlyUa8MJxiTLxUpuldFsSWt0fkdX7MTl9s8kbmEPeoEFX51FwfQGF1xaQd3Uu2f2zSe+ZJV8XheNKbLMkvtWMuNYpxLVNJq5DXA96F1EKyhckA7hEk37YdekdlwDXGAmukKoZ+Od/hMeVT3GKnoO9/1yOnp3HIdu5HDg4hwMH5mJtM4ez7ssIiP2K+PwNZNdtp6JnL/U3reWhCd2Dw9TfOUDtL9spH9xMSf82Svt+pLxvL6Xd+ylstSa3/jBplUdIzrMlMdWOhBQ7kjPtSSt0JKvMibwaZ4rrnKhsPYu635GmG+dpu+9O5xMXul440fPbWdlob3t+jJbnNuieihfEA9Jx1d3fh+ruXmrv7EV5Zw+quwfQ3DtIwwMbmh4dQffElrZnJ+h8cVr+c/r/1MPr2l/ucnXztb/ElgsfBn71pu+xGz23nGjvP0lT2xEa22xo7jtO952zDD53Y/BXT7rve6HuPU102k727FnCt1/M5uvFM1mzwJJvFk/l+xXm7Fxtjs0GK45vtpR3FY9uMsdmvRk26004+p0JtpuncGzrFI5sMePgdisOHJzBUcfpnAo0wzlpPH5F7xOheluCS9H4GlFaI4PrMiJW+wbxTW+QoHuLxJYRcvznYoceXhe79OC61GPEpV4jLvWJUlAvAauUQSPSrr5O+tVRZF01JufaB+RcnUvWwOdk9MwntWs+l9rnkaCbjaJuJqG1UwmomoS/3Ho6Rg8kA7j8a0ZxoXq0fq1z9Vi5YNC3cgy+4j8rVt8IyEkHJoAm3NnwnKN+MFtslgiofodw5QRi1WYkqKxIkOWiBQrR5yqdinfBJNxzR+OeP8qg9+TIj0fhu3gWjEC8MHrIXfd6ePmUvEdA5TjSWubI8lPsp3e8MgLPbDGA/TmKmhXE1n0lwZVQv5yY2u+IU50mqS6MNF0yBR25qK5q0PykpHIwkdy+I2R0ryK9Yx0Z7TvIbDtMVvMZspo8yNYJ1xVIhkHp2iDSG0P+FVz1wVypD+FyXQgpmmGFkloXRmrdP9BKaYhgWP8VXJ658/HO/xy/ovn4l8zHr8wAr8oP8a+Zhr9yKv4qY1kySnAZmvVBL18a9fAKbTQlvMkchc6KmOYZxEl4zSRBN90gSxKbrUhqFl8x3S/AZU5yu6Us91K6ZpDe/QGZvbPI7ptNTv9scgc+/QdgV+fpHVf/HFkupgvHJcKo7dNl3iuuZSqxLeJm43hi20YT2/EesV0G12U4wCFKRgGshGvDjusN+Z+PrDcntHomAQWz8UyZg0vsPM4EzMPOeT6Hj3/OoUNzOXjgc6xt5uHothz/6NXE5q4jQ/UDpZ07Uf+yn6Z74lbhIerv7qH25hZKBjaS07mezJb1ZOq+J71xG6mqH0ku20Vczh4iL+0jLO4g4bGHiUk+zqVsBzJLRfl4ljKtI8ouJxqvO9N6x53ux170vnCn7w8Xen7Xg6v9uViMKGB0CO3jgzSIKMQ9AavdVN/eTc2d3S/hVXfvEI0PreU+MlEydjy3p/tXR+m6BLwG/3Th6p8eXP3Ti8E/vBn43Zv+Xz3of+ZG3yMXeh840/vAib7Hzgw8F0FbNwaee9J11wNlhz1xKdvZs2c+q5fO4Mv5Vqyab86ahaZsXGrO9i8s2L/WiiObrLD93pzDG8yx+daYI+smcnzjeBx+mIjd5vEc3jKFg/vNOexohYNwWsnG+BaMILT2TSLrjYhqeB1Fw+t6cGmNiNEaEad9k/imtyW4klre5GLbWyS3v0Vyx2skdxlxuduIyz1GXOkz4kr/sLsyIm3QiAwBrGsTybluQf5Psyj8+XMKf15KwfWV5A1+QWbfSlK7V5DUspCYhk8JV80gqNqMgGpjLlRN0EOqZhQSWrVjCJAaz4WasfhXjTNogn47auUYCTDZE5MbJN6Uq3B8q9/CV67DEeB6i3DVOGI1piSorUhSTSe+RvS5rAgpNcM331iO8bjnjccjbzye+ePwLBiHR8E4vArH4VU0Gq/iUXhLvY9PyQjpDqM1M7nU+DFBRaM5nWyEa5YxgcVihnEp0epVxEvXtYxo5VoU1UeJVXpzqTGKNN1F8tuz0fxUS90vxZRfu0B272Yyur8ms3MLWe0HyGo9SVazK9nNvmTrgsjUBZKpCyKjKZgMbaiElx5gAmIhpNaH6lUngKVXWn0YQqn14aQ1REilN0bK7/8Brnl45c3Dp2AefsVz8Sudg1/pbPwqPsK/ejr+tZZcUE2Vua4Lmon4a8ZzoW4cAfXjEPAKbjDWu65GU8K0ZtJ1RUvXNZ345ukkCOmmS2gJcOkl4DUV+ZrYZsGlDitSuqaR1j2DzJ4PyerVl4nDABMQEy5L9LnSuj4mresjUkUYtX06iS1WxDVPJUZnQnSzMVEt44lpHUNcx3vESXC9oS8TDQ16cUHoH3CNILp1IpFiJrPmAwKLPsE7TYRQ53MuaD4nXRdy9MR8DlnP5eDBzzloPY/TLsvwVXxJVNZaUpWbKGrfQe31PTTePYD2/n7q7+1GObSZkqvryGpfw5XGVVxUf01izQYSyr8nKucHQi9t5UL0dvzDdhEUcRBF4lEuZp4gs8SBQvUZKpsdqes7T/MNNzrve9H7TMDEk4E/Xen94xxdv52m/YUdrc9E41006A/S+FD8d+9BdUcPrurbO6kZ2o3y9n40d4Xrskb76IhcpNj27NQ/ruuPcwz8cZ6BP9wZ/ENc/PGi/zchD/p/dWfghTsDz/Xf/heuCPU9d6P3sRvtN92o0TkQHb+VfbvmsmbZdL6Yb86q+VNZs8CEbxdPZfMKc/Z8Y4X1pmkc/d5Cui3rtZM5um489pvGcPb7MZz6YSzH9xhj5zCVM0FTcb88iYDiUYTW6jc0RDYYySOvigYjohqNZMn4KrgSm98hyeC4ktvfkfC6NAyuXj24UvpFSSig9QaZV0eRfc2EvJ+mUfjLxxTfmE/JzWWU3VxN2c21FP20jrzBtWT0rOFy+xfENy1CoZlNaO0MgmpMCayZqD9TJm4sinNlQuLXw7+v0Z8wE/cX5XENsae+SpSRYnfXG/hVv4V/zQh8a96UEr8Xiwr14JpCosaSJNUM4mtnEl1lhbhi5DcMrhzRqBc9r4l45k/Ao2ASXoWT8Coaj3fxsMbiUzIKr7L3CayaRFLjxySoZuCW/jpnU0bjW2hFWMV8opRfEN/4FUnaVcTWfUtY5V7CKs+iqPEhTh3C5YYoSnuyUf9UTOW1WLK695PRs5LMru/IbN9LVpsdWS0uZLf4ktMcTHZzMFm6YDJ1IWRqwyS8MrRhpDeGkt4QSlqDHlJpAlIGpTeEk94Q8VIZjRFkNEYivq/+9e85rhzRnJ+NV95sfAo+xrf4E3xLPsKvbBZ+laJcFOAy44LalAuaKfgLeNWN40L9aALFsdfG8QQ3TkGMBoU2mhGuNUOhsyRGJ4DyD7z+gZaVzGkltoi81lQutppyucOc1K7ppHfPkDfoMns+Jks25GeR2TNL9r3Suz8ipfMjLrV9yKW2mSS3zpAQjG+yJLbJjOgmUxQ6A7jaRktwxXe9Q3zvG/pIhADWK45LXyqOIKZ1MoqX4PoUn/R5uMUvwClkEfbui7A9tQBrGwGueRywnou98xK8I74gMuNrrtRspKB1K1VXd1J/ew/a+3upv/8jytubKPvpG3K6vuBSw1LiqpcTVbqKqIJvCUvbQED8JnzCt+AT/CMB4fuISjpMctZxssodKK47Q037WbRXXWm/7Un3Ix/6Xvgw+KcPg3+50/enM92/n6XjxUnantu+BJf2Jbh2UTO0i6qhndTc2k3t0H7Udw5Sf9/Q63pyjLanJ+l47kD3r2fo+/0sA384M/CHKwO/ezDwm9i/5UmfuIb0wp3+50JuElZ9z/XQ6nkqgOpC01UnSmpP4OvzLQd2zOG7L6fz9SIz1sw34ZsFxqxbbMwPK6eyW4JrOke+tzKAy5ij6yfqwbV5NKe3T+CMnSlOvlPxSJ5IUOkIwjVGRNTrl/mJhX4CXtJ5CXA1vkZs42svHVei7h2Smt/nYuu76MH1Dpe6Xudy92tc6TUipc+I1P7XSJe9LD208n+aQfGNzyi9uZDyWysov7WGCnFwZegHym9spfDaD2T3biStcy3JzV8SW79Q3ioMqTUnWGksL1oHKscRqJyA+IoL1/L3teMJlJoovxdqx3ChVjgzsfr5Hf2mVLFNtWYEfuJbq/91QO17hKnGEVM3hcQ6cxJVVsQpp0tw6YOoJnjkTMItexzuAl7i/mL+BDzFOTMJrwl4F0/ER6hkAr6lxviIAx7lowivteSKbh6R5VM4e9kIj9zJBJR+IsvFuPrVJGrXcFG3lYjavQSU2hBQak9opTNRtV6k62Ip6cmgfOAyOd2nSeteSWb3WjI7d5HVfoysVieyW3zIbQkmpyWE7OYQsnQhZDWFSXhlNgmADcNLQEoo8qX0kFKQoY0kQxshv5naSDKbIl/l1r/PKsoAau4svPJm4lMwE5+iGfgUz8C3dBq+IklfaY5fjSn+KpN/XNdLcIkTZGMJbpxISOMUQrTCdYlelxlROvEqY0V8y3QSWmaQIMrElmHnZS6hJcCV1GzCpTYLUjqtSDPAS8KqW8Qf9C+Lwl1dEaM+rR+S2DxDOrg48RAwvDJaa0pU0xQUugmyZxXT9g6xHW8Q1/XWv7ws/m9wxfe+S0zbZKLEELl0XHpwuccvwDl0MQ4eSzjmsBCbI6JcnM9B6/mcPLcYz9AvCU/7muTK9eToNlPWvwXVzR00iAtD97ehvLOR8p+/Iq9nBZe1S4itXkR44TLCsr4k+PI3+EevxztkE74hOwiM3EN0sjWXc4+TU+VAudYRdY8zup/d6LjrTc8TsULZh6t/+zL4tzf9f7nS/fs5On51oP2FKBdtaHp8EO3DfdSLKMQdAatdVN3aRfXNvdQOHUB95xB192xoeHBEXj5qFeB6Zk+X7HU50v+7E/2/uzDwmxgUF05LrGz2oE9KD63eZ64I9Tx1p/uRO623XNB0nya72BqXc6s4tP0ztqyZxvqlU9m42ITvFk/ih+WT2bHKlL1rLbD+zkoPrg1TsV43hSPrJ2P33QRObZ6Aw54pnHO2wCPKnIC8iURq3tRvIBWrZRqMCKvXQ0yALKphGFxvEtc4gvjGEUhwtbwne1wCXJc63uNy59uk9rxJWu8bpPe9TubACLIHJ5BzzQQJrV/mUHZrCeW3VlIx9DVVQxuovb0F5Z1d1N7eQ+Uvuyka3E5Ozw+ktH5LYuNKojRzZckYqppKsGoSwaoJhKj1X/FrAS+9BMgE1MYRoHqfC6q3CFC+zYVafSZMwqp2BBdq35PyN3xDVaOJqZtMQp3oc1kQp7R8Ca4LBaZ4CnBljdHDK3eihJdwXS/BVSTANRnf4sn4lZrgVyEeFMYTUGlMlPpDLjd+hF+ekVwJ7Vswk4gqkev6ioTGL7nYvI7LLUdJqD9NQMkR/IptCa44Q1JdCHntKZT1ZVHcH0Ja50ZZLmZ0bSOj3YbMttNkisMZLYHktoaQ0xpKdksoWbpwqcymcIQytELCTQ07KuGq/lF6UyTDyhCRDJ3iv4PLu/ADfAo+wLdwOr5F0/ErtsKv1BK/Ugt8y0zxKZ+Mb9Uk/MQhTHFXTjTqRalYN4YL9QJcwnWNJUQ7nhDtREIbJxMu3E+TmQx3xrdY6cHVIpzWMLgsSWixIFH0u0QkotlcwutKp4UsGcULo4hEyLxWh8h2TeNi6wySWkQqXwDLEkWjlSzxIhtNidJOJqppotwqEdU6kpi214npFEO0r+lT0YYjGwJc4jVRlIrDjiu2VYDLivBafanokzYXt4QFnAtdiL3HYmwdFmFzZD6HDi7kkM1Cjp1ehPOF5QQmf0l8ydekN2yksPs7qq5vRn17K3X3t6C6u5GKX74ir3cFKbrFxCsXEVm0hJCMFQQmr8E/ei0+YRvxD99GaOxe4q7YkFpoR4HyDFUt56gfOE/LTQ86H/jQ+/QfcA387cPAX570/uEsy8W24T6XANejfTQ82INGjP8M7aJ6aC81t/ZRc+sAyqGDL8GlfWRL65OTtBvAJV2XeGEcBpfobb3woPfZsER41lWvp650PxFBWk+ab7ii6jhNZuF+zjuu5NC2T9n+tRWbV5qybcUUdn0xhT2rjdn/tSmHvjXDeoM51humcmi9KdbrTbBePwXr9cbYbjHDzsYcJ+/p+FwUuaUJRDe8Lhf5yZ1Y9UaE1el3Y0VojFAY+l0xDW8R1/AO8Y3vk6h7i6RmfY/rUscICa2U7vdJ632PjP6RZA28T/bgWHIHp5B/3YqiXz6m7NZiyoe+oPL2Ny+hpbqzC829A2juH0J1+xBVvxyg5Oousro2kaxbLV1XhGoWIUpzQlTGhGomSoWox6PXJAPIxhGsHkuQajQiAyavBIkE/ku9wwXluxJaAcKNGX4twBWtmUi8RhzDmGoAlwURZZYEFopMljGumeNxzR6HW84E3EW5mDcRr4JxeBca41M0Bd9iE/xKTPAvnYBf2ST8yifiXzmBkFpTUlrmkaQRdxtfwz9/Fooqken6hoSGr0nUriZJ+x1prWfIbAsnsMSRC8Uniar2JrP5IuX9+ZQNJpPZZUN611oyujaR3rGPjLYTZLaeJ7vFn5y2ELLbQskU4GqJkMrU6cGlB1gEejf1z98TbkyCTcJKACuSzGa9XiXXv5WKfiUz8SuZwYXSaQZZ4l82Db8yC/zKp+BbOQG/6rH41ozFTzkOfxmLGMOFujEEvATXKIK1IwnWjiGkcTKh2ikG12UuXVecgFbrNL3jEsASahVfM/14jxzxMZON+sudYqB6unxpFNkuAa1LrcKtWREvSlCtBVHiBbPRhPBGYyK0k4lsGkekbpzMZEW1vUNMxwjEBgA5h9ZnRJw4sCH21A/qwSXhNSD+fARxrZOJFvvGamcRVDwbb1EqJizAKWwhDp7D4FqItfUCbGwWYWu/iNOei/GOWUFk7iqSlWvJav2WksEN1Nz6jroH36N5sJ7KW2soGPiCtJalJKiWoihZKR1X0KU1BMat44Lie4KidqBIPEBixmEySk/IMrG2w5nGa660DnnQ+dBb7rMf/N2Xq38L1yXKRS/ZpO/+zZGOFydoeXpEOq7GR/upF/OKd/egHBJOaz81t/ZTfWs/tUMH0dy1oeH+EZoe2tLy+ATtT0/R9dyBHlEu/nbOAC43+l+4yTKx97mnTPt3P3WjWwDrqStd4mXzsQdd931o+dkdZctpUtL3cfbEcg5smcXudZbs+sZcJuYPr5vCsY1iLnEyxzYaY7PBlEMbLDi4YSo2303l0HdTsP7elKM/WnLi+DTOB87AP3UaERViplVsDTEiosGIcFEuCnCpjQhXGxFZp4eXiEfECnBp9Y7rYst7JLeNNLitUaR0jya9bwyZ/RPJHphM7tWp5F+bTtHPH1F2cwEVQyupGvqa6qGN1A5tQS32md0/SOODw2gfHqfp4Ska7tmhum1D6fVdZHRuILFxOVF1nxGmnkao2pRQzRRCBLzqJhKmERpPqGY8YeqxhKrHE6QeKw/JimOywxIXsfXHZd8mQPmudGLCjQmFqN4nqm6i3PAqHFdsrblszoeXTtODK2cSrplibnEMrjmjccsdK/tc4sXRV0CrxATfUhP8y6ZIaPlKeE3gQuUEAqonEamyIqdN9LZG4l9gSnDRHOJVq0msXyeT9IlNa0luOkpmWww5rZmElp4jsPQUsSp/8jsvUTWYSnanI6kd35DW9S3pnTtJb7Mho+UcWS3e5LYFkNsWSk5rOFmtYXpwNUeQaVCGLoL0pggydOGvaPjPI8lq+Vf9V3AFlH1AQNlMAsqmE1hupVeFFRcqzLlQaYK/eAIW13trx+GvHMcFCa5RBNSNJLDuXem49K7rPUK0IwlpnEiodiLhTQJepkQ3mxPXakVC6zQSW4XrsiCpVS8BLvFrPcCmktRqZhj1sZQxCRGVSG6x4GKLBQk6c30vq9EEhQTWRCK044kwQEvRMla/fFBC6y1iu16X4Io1XMWW4DI4LgEuceYsruc9GZ8YBlewyLFlfo5H4iLOhy/ktNcS7M4s4ajtYmxsFnD48GIJLnv3hbiGLyIgdSlxFatIbVpFfu8aKn5Zi/reOuoerqP69hqKrn5JZvtyLtatkD2usKyvCLnyDaEXNxKasIXwhN3EXrbmUq4tOVUnKW9yRN3rQtPPbrTd8aBT9rd8GfxDgEsvPbhc6f5N9LlO0fr0qCE9bwCXaNDf3odyaB+1Unpwqe/Y0HBPgOs4LY9P0v7Unq5np+l5cYbeX8/R/9t5Bn5zpU8031+4y1Kx+6kH3U/d6XrqJtX5xE3u1++460PzVU+q6h2Ii9vOmaOLsNn6AQfErq2Nlhz7wRKHbeac22GC03Zj7H+YLKMPNt+Zc+g7c2y+N+PwFjOOiJnFvVaccfwQz8iPCcqaRWSV2CoylmjtCNnXEuASm0iHwTUMLwEu4br0peJILraM4nL7aC53juJK1xhSu8eR0TeerIHJ5Ayak39tJkU/fULpjXlU3lpO9dBX1N7egPL2FjT3dsvHi6aHR2l+fJzWpw60PztH6xNHmh6epHboEPn9W7jcslrubY/UfEi4xoLwOlNC6yYTJiTBZQCYeryEWIhmLMHq0QSr3yfopUYRqHr/pfTwEgB7l2DV+0RoxuvBpR4GlwXD4PKW4BqNS+ZoXLJH4ZYzWva5pNsqFm5LwMsYv1Jj/MqEJuBfPh5/UTJWTSKo2pTU5vlyg4RX9ghcUicQWrZAgitRu4p47VqStEdJ1Sko7CySea7wCneCyh1IrPehrDeNwp5AUjs3ktr1JWmdYv35ATJbT5LZ7EpOqz957aHktinIbgsnu1WASO+8xHfYSQ2DTHz/N6yyWxUM67+CK7D8AwLLBbT04BIJ8qBKIQsCq6YSWG1MQM14LhheTi6oxhKgGSUVWP8+QkEN7xPc+J50XSHaMYQ2TSBMO5GIpskomk2IaTUjvtWCBAOwhsE1/B0Glx5kepgJWIm4hIxO6MyJbxLgMiValIXynz2O8KYxRDSNIVJsTW19l6j2EUR3ih31RsgDG4arQOIadpwYpn0FXKJslOBqNzaUirMILvkMv6zP8bq4GJeIRTh6L+Wk41Jsjy3B5vAiCa5j9otwcFuEc8gCvJMWEFG4jOT65WR3fUHJ9VVU316N+sHX1N5dQ+n11WR3fcnlxq+Iq1hLZO5awlM3EJmyhaiUncSm7Ccp8zCpxXYUqE9R3XaW+kEXmm+50XHPk+4n4sqOL1f/8HsFXN70/eFOz+9OdLxwoPXpcXRPhEs4QMP9fdTd3Yv69n4JLwEu4VBABkcAACAASURBVLqE41LftqH+ni3aB3Y0PzpF+xMHOp+dofu5Hlx9BnD1/+pK73N3ep4JaHnSJcD1ROTIhDzpfOhH+5Av2j5PSirtCQvcxBmbzzm2fQZHNltydLMFp3dMw2WPFR57p+K+y4SzW6dg970JhwWwfrDg6FZLbH+04tie6Zy0mYmr52f4J84lLH8O0bXijoEZMeL/xvXvEl73BmGa1yS4wlRGhKuMiNQYEVX3GjH1b8tSUTTmk1vHcLljLCmd40npGk96zyQy+4zJHjAlb3AaBdc+puSXuVTcXEL10Cpqhr5FeXuzdFoNDw5JJ9r8+ARtzxzoeH5WXjxvf+ZM82N71HeOUnx1J6nt3xKvXUxU3SdEaKYRXjeVsLopBnAZAPYSYmMJ1YwlRDOKEAEvzSgp4cL0TkyUkaMJEBeyDQpSjiRcPZaYOlPiXwGXKBWDi8zxyZ2MW+ZYPbiyRknXJaMRhRPkq6JP0UR8iyfiVzpJXyYKcAlVjJfl4oVqYzmXm9G6hLDyiXI/vch16ftca4ht+JYYzUGSG4LJbsmhpKuSnNZUIqvdCKtyJKM5ipL+JDJ7rEnpWiUfLtLbdpHRakNG81l9k74tmNz2CHLaw8kRAGuNfAkwPcjE7xUSWMOA+o/ftqhXufXvzfmQihkEl88kqGK6HHsJFrmRKguCq8wIrjIhuNpYpoYDaycSKBqQwv5qRhFUN5Kg+pGGHteofwGXHl4CLBOI0E0ywMuU+DZzWSIOA2v4K0tHQ9moh5jZP9AS8NJNJUEnNjmYEKObJBcNitIwXPe+VESL2FH/FlEdbxDd+TrRYtNl1+tEC3D16fWfwBXfO4rY9kkoRPJf+QHBIgYiwJW0GNeIxRJcJxyHHdcibGwWc/zUYk67L8Y5eBGeCfMJzJ5PnHIhqe1LyL+6XL5QVd9bRfXdryj9+Stye74iVbeWpJrviC3cRFTWZmIyfiQ+cy8Xs625UnCE7Co7SrT2qHocafr5vMxudT70oueZ6G/9A67Bv3wY+NObfgkuZzpenJaB0hbhuh5Z0/hARCL2orkjwCWAtZ/qG0IHUQ0dpe7uMRrvn0D30J7Wx6fpeHqGrmdiKNyJ/t9cGfjNDQGuPgkuTwO4BLw86HzqSYe46P0ggI4bATR2epJXeJIAj+9wEGn37VbYbrXg2DZz7HdY4rTbAre9ZrjsMsVxmwknfhDgMuXIZnOObZ/G8d3TOXFgBmdPf4pv+CJCUpcQVbKYOPXn8uydWEIpbhaEa0YRpn6HMPXrhKqMCFMaEaE2gEs6rrEkNY/mogTXBFI6J5HWPVGCK6vPhNwBK/KvfkjR9c8o/2UxVbe+pGZoLbVD36O6/SN190R5eATdwxO0PrGn/dlZul640P3ClY5nzugenUZ95xjlP+0ls3MjSc0riWmYi0JcfK+zlK5LOq5h51U3mXDNZMLrxhFmkACYkIDX/wtcgcqRBCnHEKYeT5TGlDi1BTFKUSqayx5XiDhZljcF96zxskHvKhyXoVT0KBiDR8FIvApH4lM0Fr9SvdPyKxuLlHhdFNe2q0fLEO0l7VwuN33IheJ3OJ8+kvDKxbLPFdfwLRG1WwircCBdd5mizjLKuyvJbcskVulPjMqdvM5E8vp8SOveSmrnKtI7N5HRtp8M4bpa3chpu0Beexi5HeHktEdKeL0KsP8IqVYFOW1R/6Ls/wtcYRUfEFoxg9DKGYRUTiekSoBrKqHVpoTWCE0hpHYKwUr964n4Hz5YM4Yg8ROkbgzBIhLRMJoQ7bsGjZQlY6gYUG0aQ5huHJHNk4iWqXaDmzJsfxBbIIbh9epXwkvMMsoVN+JrInd0xTYb68HVPEH2sxQto4hsGYUAlzg9pRCXgcQ+pc7XiRED1D1v/B/gepfY9gkotGaE184kqOQTCS7Pi4s5H7GYM95LOX5mCYePLsLaeiGHbRZjZ7+UM+5LOB+8GI+EhfhlzCWycg6XmueTM7CY4hvLKBsSz+urKLy+mqzur0nVfcvF2u9JLNlGXN5O4rP3kJhzgCuFh8koP0qB5gSV7Q7UDZ6j+ZYLHfc96H4iQqC+8gDH1T/9ENASkQg9uDzp+f08HS/O0PbMnpYntjQ9sqHxwUHq7+2jToBr6CC1Nw9Q+fN+Kn86RO0NAa7jNBjA1fL4NO1P9Nssup+fo/fX8xJa4o6iAFfvMwEuH7qe+tD51IuuJz50PvSn624w7dcDUDW5cTnFBk/Hb7Df9xFHt5pzZKsZR7eZY7vVDPsfLXHcZYnjj2Y4bJuK3WZTjm4yxXazOXY7rDi5dwanj87Cy3sJQUmiX/gl8VWrSG5cSWLTHGIaZhBVb06EZiLh6tGEqd4iVPX6S3ApNK8RI3tc40lqGUty2ziudEwitWsyad1TyOg1JqfflNwB4bY+oeSXBVTcWE71rdXUDq1HObQFzZ09NNyzoUmMaz1yoE387/HsHF3PXeh+7kLHs/M0PzpD3V07qm5Yk9u7lcutXxHXuFC6LpGoF+HlcIPrCq2bgpD4vR5cYwirE9JDTA8vfe9r2HUNuy3xDawdRYhyHAqVCTEqPbjEvGJk+TRCS6wQL4te2WKds2jOj8ZdgmscXvmj8DKAy6vofXyKR+FbOkZqGFwi8X+hahwBVcZEKKeS2jyXeJUFLqlG+BfMIlopBq+/QaFaT3DFHqJqPEhrukx5dxXVvUoKO/OJVQVysT6A3K4oMrtPktL1FandX5HesYf0NlsyRTSi1Zfc9iDyOkPJ64wkt0NBbruAkoCTXv8bXv8CrfZocgx61XL9W3NegCuiaibh1TMIr55GWLUFYVVmhFWbEFYzmbDaKYTVmhKqNNZLNUE2HkM04wmuG0mIBJehVBTlYqO+1xUmoTWaCN04FM2TiGqZTGyrKQmi0S6AZdAwvMQ6G9GAF4FS2QcTTqtlKvEtAlrGxItVzi0TpWJbx8vYQ1Tru0S2vC3BJa4Qy/t4AlyvlIqyxyV2LRnS8+JFMdGwHUKsvRGzjVHD4BIZtsx5eF5chEvkMs74CHAt5cjRJdhYL8bGegnHTy3htNtSnIOX4B6/EL/0eYSVfkpCwxwyuudTcH0pxb98QdEvX5A3uIqMjrVcbthIUtVmEop3kFCwh/j8fSQVHCK11Jbc2uOU6U6g6j1D08/OtN11peuReMnzYuB3H9nfGvjDl4FhaP0pmvMe9P7mStdzJ9qfnaH1qbjOLcrFQ9TfO0DdnQNobh+k9sYBSgf2Udizj7J+G5Q3bKm/e5KmBw7yX8i2x+foeOJM1zNnebG697mLPlwqAqbSdXnRKYD12JvOR9503PGn85dgWvsDqKg9T3zMIdzsv8Z+7xxsxdD0FjF/KMBlIbc/nNw5nVM/WnFymzl2P5hi98NU7LaYcXKHFfb7Z+J85jMCI1YRnrKG2JK1XNJsILXlW5KblxPXOI/o+g9QaMyIUE8iXP0+ocq3CVe9JUeAFJoRxNSPJEErwDWe5LYpXOk0Ia3blPQeMzL7ppLTb0X+4McUXxfQWkbVzVXU3FqH8tZmNLd303DXGq2E1inanp6Rfa3OZ+fpfOZikADXWervnqD6xmHy+0S5uJ5E3QpiG+cR0/AhUeL2aL0JEfWTCDMoXDTr68ZJeA07L33ZqP+hL3/wy8b9OAJVhuCq6n3Z5xIvkZFqY2LUFog99NHVVigqrAgvtSKw0Azv3Ml6cGWPkeDykAl6fanoXTQW72J9+FQm6EvekzvBxLiRgJZI9YuEf3DtRJK0n5DWMpeg4vdxTnmbiKrFxDesQbguhXoTUcrDJKgCuVKXSHFnEZW9NRT3FJGqVZDZGkt+TzjZPTakdq8mvfNHGY3IanMgW5wv6wyioCuCvM4IPbg6oslt/38rryOGnA6FVG5nFMP6r+CKqJqFomYWilqhmVIRNZZE1JoaoDWFcKUx4SoTqTCVMWHqSVLiBSW0bhyh4uCrBNa7ElyhTSMRCtONJlw6rglEtkyUrkuWiwJa7ZZcFDEHIeHABLhko97QvJel41QShuHVYkJcizHxrRMR4BLp+Oi2d1C0Crf1uv4asbiL12GEQpSKokwUWy1Fc/5VcIk4hJDod/W+TawAV5PecYlRCN/MuXhcXICrYhnn/JZx8uwyjtou5bDNEg7bLOX4yaUvweUZvwj/9M8JLZlNrGY2l9vEHOUi8q6tJPfqCrJ6Vst/ES9pNpFUuZWEol0kFOwlsXA/l0ptyKy2o6j+JFUdp6i/6kjLkBOdD1wQL3kiva4PnQqX5UP/H6JE1Kfa+37zoOdXNzpfONHxXIDLjubHR9E+FC+HYuzoEBrxnP/TQfI6dpPeuJOspn2Udh2h5qeT1A2dpvHuWZrvO9P60ImOx850PTlPz1OR1RJuS9/j6hI9rcfedDz0pv2uF+03vWm7egFtuz+FxeeJDD6Ay8mvcdi/ALsfP5DwOirKxe2WnNw5g1NiE8SuadjvtMJ+mwWnhBMT3x+tcLSehafrQoKjVxOZ9g1JFZtI024lvfV7eTYusXEpMfWfotDMJFJjSrh6PKHKkdJ5CXgp1O8TUz+OBO1EOYFxud2c1E5zMnrMyew1J7vfiryBjyi8Oo+yn5ZReeMrqm9+K19+VUM7JNwb7x9B9+gkrU9OyxJR9LTan56n7el52p+6yG/zo3PU33Wg5qYtRQP7SO/czKXWNSQ0ifXHnxLdOANFg7kEV7gAlywZ9Q7rH2jpXxuDxQ/7Ycm4xD/guqAciVCgcgwRBnDFKC2JqbGUL4sRZdMILrbAJ2+KfvQnd6weXGIEKF+Aa6IhOa+HlwCYV+m7cpuF2E4hBsRFqSjCsEG144lUW3ClZR6XGj7Uu66iD4hWfyljEfHa1cQ1biJaZUe8OpDUpiQKu/Kp6K2gtLtQbo0o6EqmqD+YrJ79pHdvJqPzAJntJ8huP09e5wUKexQUdCnI74wirzNGKlcA7D9I/+f/ACuvKxqhV//6N8elqJlNtPJTolWfEqMW+oRo9SyiVDOIVJoTrjQhrHay/A7DK1xlTLja+J9avmE0oY2j9K+KWj20XoKreSwRLWOJbJ2IonUyMW2mJLSby2MXFzusDPDSLw58tVwc/rUoG1+FV3zrZD282sYR0zaSKHmD8XUi214nsv21f8Alrl//L3CJ5ryE1ktwvfFv4PLJmItH0ue4Kpbg5L+cU07LsD22jCM2Szl6eBl2p5Zzxm0554OW4hm/BP/0BYSUfEaU6hMSdZ+R0jWfjL6VZPR9QWr7Gi43buBi7WYSy3eQULiHxMJ9JJccJLXyKLmaE5S1nETZb4/2xhna7jtJgPT+6sagmBv825vBv7wZ+NPrH2i98Kb3hSfdL9z1DeTnZ2l76kDLEzt0j46iFYPed21QDx2itH8fqQ3biSvbLLeoXqnaR77uCBW9dtRetUfzkyP1NxxpGjpHy11n2u670PnQjc4HbnTcd5XuT9yMFDu3mm+40zToRkO7N1U1XqReciDIaxfnT6zF8dBiTu76BLsd0zm+3Yrj2y2x3z2D03s+wGHvDBx2T8fhx2mc2maJ/fZpnNwxDYdDs3B1Xohf2ArCU7/mcvU2MnW7SW/ZzpXmjVzUriGufjHRdZ+h0EwnQmVCqHIcYcp3CVe+i0IzSg+upsny5flK+zTSu6aT1TODnL7p5PV/ROHg55RcWyrDwFU31lFzcxO1t7aiGtpN3R1rGu+LEtGelsdnaHsqXhGdaXt8ntYnLi/V/MiZxnuOKG+dpPSaNdk9O0hp3yB7XXHaecQ0CtdlIV2XvkTU97cktDRjDREJfd4rWDMRKfV4fc7L4LqGx4UuKMfIJL7490w4rjilFbE1Ij0/jcjy6YSWTMMvXyToJ0hoDc8tih6XZ+FYvIr+0Utwlb8j1+oIcImB7ws1o+SIUohyEnENH5LRuoCQ0jEylR9WuUAOXYtJgUTdKhTqzUSpHEkWQdHmSxR1FFA7oKasr5TCzkzKBtIpuxZG/uBRMrv3kdF5lKzOM+R1e1PUG0FRdxQFXVHkCxAZ4PWfvvldsRJUw8Aa/v5XcEUr5xGj/pxYzXzi6hYQL1Qvfj2HGPXHRKmsiFSaSAcmIPYSXmoTImQTcjJh9RMIbxxLmHYUodp3CR92WxJao4hsHUlk6zgUbZOJbjeWJ8fEumWxR0vCq0O4L335KN1Xm+XLJr7Ie4n98wmyzBSlpikJ4mxZ2wQJrhjxktj+JlFCHW/I/laUaMyL6y09bxDb+7rUy1JRrLYRko7rDX2PS4wq1c6Uw6e+GXPxTPoct0g9uBycV3DcbgW2h5dhe2Q5J06u4IyrAVxxAlwL5b56hfJTYhvF5aD5XO5YyeX2VSTrviVJs4mEyi0SHAmF+0gqOsCVchuylMco0p6kqusUmuun0N05Tfujs/pG+R8uDP7txsDfHjJw2v+nJ/2/e9H3wpue5950P/ei+7kHXS/c6HguHIIjLU9OoXtkJ1/HROxBeeMABZ27SKjcTGDKBnzjNxGQuFU6vgzVIfKbjlLccpzyzlNU9ZxBNXCOuuvONP7sLEtW7U/naLjmSMO1s9RfdaKu1xlVmxNl1U5cuXiScP9DeJ3birPdtzgeWoLDzk9w2DGDU9tFaWiBw84ZnNnzIQ57PuDUrhmc2D6NY1usOLZ1Jke3TufIrg84efwzXPyWEJG+npTanWQ27SOjeTcpui1catpIYsOXxNQtRqH+jAjVNH3LonY84coxKDRjDeCaInN+qR0zyez+iNy+jygY+JSiwfkUX11G2fWvqPxlAzU3NlNzYxu1N3eiHjpI/V3xwnoS3SN7WTa3PHai5dF5Wh+50PLIhdbHAl6u8tdN953QDJ2m8hdb8vv3kN75A8ktq4lvWkhs4ydEN0xHUT9VXzKK5ryhTBTl4nBjXlQnIvMlwBVkyHjp+1zCdYlxoUkEyLGhCYQJcGksiFdNJ07OK85AIXfQz5D5K8/ciS/BJeElm/PD8NLPK3pJxzXS4LhGGV4W9Q16MYYkUv1iXc+V1nmkNn+CV+5Igko/Ik69gmTdCi42ix8aS4hUbiZW7Uhqk4LctlQqeiqoHVRT2V9JeV8O6hv5KG9eJH/gFFk9R8jutievx4PCnhCKuhUUdAtw6eElAPW/VdAdh1B+d4yEl/gO67+CS6FaRIxmCbF1S4mvX0Fiw0qSGr8gqWEFCQ0Liav7jBjNDBQqcyKVU+VPPvHTL1yCa4q0yJENk4hsHE9E41jCtaNkRCGiWd84j2wZi6J1DIq20SjaxhEt186YyNNiAl4XJbwsJcDE5R6xLUL2vQwgE70wCa9WPbwS28xIbDchvn0Sse36mcTY9hHEifxWxwiiOkQk4l2iu976F3AJgA27rZfgEmBrH0dUoxkRtR8QUjwb/4x5eF1ciFvkcpz8VuDgtBK74yuxPbIM28PLsTuxgtMuy3EOWIp77GJ8U+fLIF9kjTh1Npc47UISmleS1PQ1CfXria/5nvjyrcQX7yKx8CDJJdakVdmSV2dHaavebTXcsKf5voN85esRYdC/zzP4P64M/O0mR3xE/EGUh70CWC8EtPTg6n7uTtdzN+kWWp6cpvnxSZoe2tFw7xg1P1uT3bIHRf5WnEPXY31mFcedvsVbsY2ItJ2y13ap9ACplYfJqDkm3V9x0ynKW09R0X6KirbjVLYdo7LVjspmOyq0JylVniEh0YYgrz14Om7jnN16ztl+jePBxZzbPZuzO6ZxWpSDWy05JdYwbxcOTL9T/vDm6RzYaMW+jdPYvd6KHeLX+z7CyXc5iqwfuFy9m7SG/WQ0HyCteSeXm7aQ1PiN/P/JaM18IlUfE147nTDlJMJVE4gUsYH6CSTqTLncZil3uWX3fkrBwOcUX11E6bXllF1fTeXP66n+RUBrB8obu1He3I9mSLhSO7QP7Gl66IDuoSPCWTU/dEH3wAXdQxeaHwlo6SX+Xv0dR2puHqNocB8ZXYZyUbeYOO1nRIuHhAZzFPUmRNZPIkL8IBcNefGaWDeSMKkxiFyXfFWUj1tj5CNXsICYcgIBtRO5UCPmGyf+G7hiqmeiqJhBhMhbFpnj9RJcY3HPH4d7wRgpj8KxeBaNx6t4It4lE/AqHY232B9WNhr/ijFyU8WFqtFyKaIYNxKhV/GKmde9gsiqCfjkGBNRtYiLTWKt8yIStLP0Y05Vq1FUHyRJE0iGLomSrkKq+6uoHCiheiCfptt11A2lUHTVleweB3J6XCjoCaS4J4JC4bq6ow2K0UOqK1Z+h6Gl/+qBVdATi5CA16t//VupGKX8kliNWG8hdvN8zUXt1yQ3fUuyTNGu4aLYkNgwn1jNLKLVVihUU4mUMidSY4aizlQ+W0c2TCBSBkInEqmbQETzWCJbxqNoHS+BpZCXqUdLhxPTMYnYTlMSBLi6rF4q2bBDXvS9kg39L9ELSxKlZbs5ifI7lURRbgp1TCJeLA7sHEV857vEiR1cXe8QI6DV9RaxPSMMjkvfnE/sf032toTbSux/E7HeWbwqiuZ8hHKG4WCGANci3COXcM5vBafOLefYseUcObxclovHjq/A4fxynAKW4BazCN+UuQQXfC4vBkerFxPbsJK4hq+Iq19HnGoTcdVbiSvfSXzJPhJKDpFcYUN6rS35jbaUd9mivm6H9s5x2h6dpPO5OCPmwMD/58jg3+fo/9uZvr+c6f3zPD2/u9P1qwddYp3MMy86n3nS8cydjmeushcjXJfIHDU9Okn9vRNUDFqTqt5FSNpm7D2/4fvti9m0eREHbFdx/PwaTnt9g5PfOlyDN+Gn2E7Epb0k5hwitcSazIqDpBTtIq10D6kl+0gr2k9WiQ3puccI8tuJ59mtuNhv4oztVzgcXIrTgQWc3/sR53ZYcHqzMQ5bzXAQZePWaRz+YRr71luy42sLNn1hxsYvprJuuSnfrjJn++6PsfdaQWjKFlJqbMjW2ZLdYkNa8z6uaHeS1LiRhIav9K5L9akcywqTPzyNUWjGE1M/BbHn7XLrDDI6Z5HXO5eigcWUXFtB2fVVVPz8LVU/f0/Nje0ob+2l9tZ+VLcOoRmypf7OCRrvnkJ77zRN987RdO88TfdcaLrnhu6B6yvS/77+zjlqb56i5Nohsnu2c6V9HUktK4hv+lzeFI0W8Y0G0aTXQyu8foIeXIYohAyjDve3hktGzWSCxQ1TMeMo4ka1EwlSTiJMKRyXJfHqadJ1xdbMJKryAyLLZxJcbI533mQ8ZW9rDJ7yNXE0XoWj9attDA16z+JReJWMwat0JN5iC2vFGC5UjnnZpJc9NdU7BKlHcbH5I9KaPiSw0JiQ8k9JrP+Ci02L5ebiuAYropWziSr/gphSGxLUYtmgeCW8QklvPtWDpTTcUNJxrwntrWLKB8LJ7XYhr8dQLvZGUdgjFENxdxzF3fEU9sT+mwS8Xv37Bf8nuGrXEKteS0LDepK0G7ik3cgl3SauNG/iSstGrjR/wyWdWK4vLuF+TLTGkii1GQq1GZHiqzEjqsGEqAZjmWhXaCejkNmtSSjEyhjR22obR1TbaKLbxZ6s8cQIdU6Uq5aTui242G3JRQGtYXVayVU34p7iy1KyQxyGFZoqldgxlcQOExI7JpHQOUaCS8BLgCtWQKt7hFwkGNvzhnxRlKXiK3u5EgfekCue/xO4PKXjWsxZ32WcOLsMW9tlsjF/2HoJtsdE32s55y4swS16Mb4pnxOUt5CIsqVE1a4kRr2aGPU3xKjWE1vzPbGV24kr3UNCyUGSSqy5UnWYTLUthc1Hqew9Qt2No+juHaHtiS1dvx6n98+T9P+PA/1/n6HvLyd6/3Si9w8nen53oetX4bA89NB66kX7U0/an7rT9lSUNWcREYemB/aobhynqPMgl6p+JPDiJuycv+HbDQtZufJT1qybw/otc9i4bQ4bfviUdes/ZdMP89izbwl2p1bj6rGeC4Hf43L+S047LuGM03I8fL8hNmk3sQn78XTehNOJ9Zw+upqTB5dgv/dznPbNwXnPh5zdYc7prforPsJxHds2nUObprN9jQXrlprw1SJTvloyldWLTVnzxVR+3PcJTgGriMr6kTztSUo67clrP0Za8wGuaPdwseEHEuq/kVdpotSfE6GcTVitlXT9Cs1kYhtMSNJNI6VtJlldn1LQv5CSqwJaX1Hx0zqqft5EzS/bUN7ahXroAKpbNqhuHUVz6zh1Q6eov+1Aw52zNN51ovHueRrvuqC966bXPVea7rvS9MCNpgeuNNx1QnXrNOU/HyVPlovfkdyyigTdAuKaZhnmZ02IaBAN+lcyXHVjCDFIjAaJ+UYBq2EFqY0JUg1vm5hAkGoSoSpjojQWxGmmkaCeIctF4boiK2YQUmqBnzhZJndyjcGrYMy/QEv2uYrHMgwu79IxeJeNluDyM7gu/Q6xUQQYRpHCNKPI6VoiLwz55k0hrOIz4huXEKedRmydKXG1HxNdvJKgjO8IKbYnXhy7qA8jozmBou5sCa/Gm3Vob6iouZpOUW8wud0+FPYGU9SroKg3iqKeGEp6xKaJBIp6Y6WGQSV+L8Amfv/qn/13x1W7nhjVRuLrfiCpcQuXtNu40ryd1JYdpLVuJ631B1Jb18txB0Hh+IbZxNRNJ1pjQZTaAoX41gl4TSW6cSrR2ilEN00hqlkPLgGvqLYJRLePJaZjFDFyO+kYYjvFimVxgdqMpG5LkofVNY1LQqJs7JiuV6eVvOYjykpxGEOqw5ykThOSOiaR2DWGhK6RiDU2YiOEGPcR20/FkHWsuJs3/Koo5hWF23rZ43r73xyXf/ZcvJJFqbgYR59l2Dku5ciRpdhYL+XwoaXY2q7Qg8t/GW7RS/C9spDA7KWEFX9BVOVXRFV/Q1TNOmKqNxFTuYXYsh+JL95HYvEhLpZak1J9mKz6wxS3///tnflT1Ocdx9uZZpo2dqJVAwa5UQxGcllQwESNgCLhRk5lQREIohhAlICYKBjlWna5JCaGJIfTvwAACSJJREFUIAmnICp7sKyCwHJILgMipm0aYzoa03/h1XmeXRjazKS/pjP88Mx3h+8vO88sr/kc78/7k8jVLxLovaug/1sFQw8UjDxMZOynfYz/K4Xxn8xLXMd+PCzdIEYf5mD6Zy6mB0cZfpBngVY+g/fzGPw+VxaWZet+JoPOiX18bIxB2RJMXok/cXu98drkhqfXKvyD3YlI8GBXoich0a/gG+DGVt/n2BngTmTIehKiNpIc60VMoBvBvk6Ev/EcKXt9OF0cwZlTEeQd9Cdz72ukxXuQErWOg3HryIpbS2akExmhNpZoy4FUsSsx1IX4AEeCN69km4cVm//yLK/72OPr44DvFlsi41zJe+911M2xtNw4QOfoIVpMaTT0KzjfF0+dIYwq/Q5Uui1U6Dwp1bhz9porJT32UqSp7ltJXb8TF4bcaBp7mbbPvOj88nUu3w7gyu1g6UTbMxWDdnoPuukktNPJaKZS0Uylo72Tgf5uJvq7WfTOZGO4l4NhJpe+mVyM93LNEPtrLn1/M59eCa5DXJ7cT/Pn8TSMBlN/cys1/R6ob7jJLVflxmfN42gi6hIRl6hx6ZdwWj7FONAz5qHsWXDNQkuzXAJLQEucM9oVlOvtUfc6UKVzRq1xpvKaC+XdzpztcuBk2wrpiCrMBAukieBiCkSKKLzpW0W6KIr0ImVcLKOugo5FMl0s7FxsNja8shhR5xLasSKtGAL/DTX9btQbn+dUyxKON1lTrn2ZSsNqlNqVKK+8QFVXBMr2VN79ZC8l3TlUCQ/5vlLOX6/g4mAVlyYa6fmyg+7PP5ag+mSsyFznGi+ldbyCtnEl7eMq2seraLulmgPULKhmn/Pf/TK4rgZS0ROCWhdOjSGKemMM5/tjuXAzno+G4mkYiqZhKJwPhwJ4f2AbdTc8qe5bh0rvQqXOUYa0FXp7KnrtUfaJrdU2KOWMovDGsqJcFuSXW6KsP6A0LaJSHOkLv5SqUbFSzM4CLjvOjdpLcM0OW0t4zQNXrWkl4pgBZkONadkcuKpGnqRq5AlUAlwSXr+V8BLgUlvsm+fqXLNyCJkqPktJjxPFHWv4GbgObbSAy5OkBE8Jrjff8pZSiaPlnhSe8+Rkgw9nWrZS2uFHWed2yrsCKO8KpuJSOMq2KFQtcVS37qG2I4H3rybQ2JdA20g8127HYrgXx8A/4hj6IZ7hR/GMPN7NyE9JjD5OZfTHdEYfZTDyMFNKH4T8YeiBaNPnMnj/GEP38xi6f0wWkUUnrP/bLLRTGbQMKqi7HE5R3XaSD/uw1d8N9xdt8fRxIST2FZKzX+NgoR/p+b4kZW1iT7o3imQf9u7ZRFLURhShHsT6ryNoswtB29xQRHuTn7WTE1nbyUvZzFsJnqRFrSM5bDXp0a5kRDmTHmpLeogtb4Y6kBrhzP6I1SQFuxDjb0fQqyvw22CFr7cNgducCPJbxRvbXdgV5cqRk5tRNkbRqEuhfeggraYDNA7s40OjgnOGKKr1wah1/lTqXqVcs56ynrWUapwRv7lqoyP1A6tpGH6R5vENXPp8C91fCWiFcvXrXWim4tBNJ6KfTkY/nYpuKg3NZDqayYNopjLR3nkL3Z0c9NNH0N89Qq/YwjRzRMKr75ujzB7DN6LGlY1mOpPLU2m0frmHxvEwzg/5UTvgRXX/89Km3GwAsEIu2BApoznyEpou8zjQewJcWitLkd4cdcmIS1rjLKdIPLXL5fC2EN+qDQ5U9zpRrXNG1eNMxRVnyi47UdRuS2GzFfnNSyloWSqhJcZ9ClqX8XbLUkuHcdk8eP0JCa85Bf0suJ42g0vYCBmW8+HQS1Rec+TYhSc43bWGSv1alEIm1bkRVbeCC8YK1Jp3OdG8l4qet6kznKGmt4gasUvReIomk+gOqqW7RKNJgOssbeOltI+X0z6ulMBqu6W2PFXy2T6hQhwBrP8+/wNcYVRci0CljaKmV9QWdvNB/24u3FTw8bCCi6YELprEuEOYhFf9wJY5eImtuZV6R5S9DigN4thRKebMrq9EqNwrB1agHLSWnURzeihSuUWoJLSeQjW6BPWYlYy66sbsOWc5YtGrBJfJGbEM45zJSUZc5hqYHXUmW2plV9KGahG1jSyhemQR1aNPUjX6O9TCa15GXGbP+fm+87PgMuu4LMV5o9CqOVDc4co7je7k173MsVKRKnqRdthLpoqJQseV4Mm+fd7yb5mFG6Vk4nitJ+9eeI0zn/hR0rqDkradlLQFUtYeTFlrOOXNu1B+GkNVSzw1Hbt5/1o8DdfjaRuLkf9chm920f9dFIM/RDP0KJrhx7EMP45n+MdETI9SMD0UbqWH5PycGEcZ/D57rlU/+F2ubN+LIrLogt34ezaa2xlcNCagagrjUN4m/Lev4YW19qx1tcHLy4VohQc5J/05VRvK6fpITqjDyC8PoeBMCPnvBJGT6cv+mI3s3ulO2LbnCNq2lpig9aTHe5GduIG8BE+yYt1JDV8lu4Ny1EcITENtSQu1Z3+oI4khzuwOcSFmhyPhW2wI9LLGf4M1AZtsCfZzIjxwNWGBa4iMcCM9y5Pi2jc415FAU186zYMHaLqZwkfGJOoNsdToI6jSBaKSKbgH5Zp1lGlXy6i/xujC+YHnaTStp+2WD11f+HLlKxFpRaK5E4deLivZj2HmTQzTGegmD6D5+iCarw+jmcxCM5mNZioH7Z0cdNPZ6O/myOird+YIhnu5/3HEO82dw1yeTKPtKwVNE5F8YNpB3U1vqvtfoOqGK6rr9jLjkCYAlqirpNfKoqS3NrtJCHDpl8kobE7TJdJHKZFYLruOwuOrVKRofXZUG5yo1rug1qxCedWJsm7xO7XjRIu1jLoKmpdyvEW4QyxDwkvMLUqYWVPQ+oxZ2yXTxafMtS45+iOEqH+WmjExL1ms+yPv6X5PXb9YrvES73z6tNSLCYlURfeLlF3ypbwzmVptMS0jTdT1FnO26xCVEl4lqLXHUemyqOk7Sp2xkBpDIfXX3+bT0SLaJ0rpuFVBxy2lBFT7hNryrKR9opKOz1TyzAJs/vMXwTX/5cLnhRtYuIGFG/g13sDPuoq/xi+58J0WbmDhBhZuYP4NLIBr/m0sfF64gYUb+L+4gX8D/RAu24ykLsgAAAAASUVORK5CYII=[/img][br][br]Explain why solving the equation [math]500=250\cdot e^{\left(0.5w\right)}[/math] gives the number of weeks it takes for the cicada population to double.[br]
How many weeks does it take the cicada population to double? Show your reasoning.[br]
Use graphing technology to graph [math]y=f\left(w\right)[/math] and [math]y=100,000[/math] on the same axes. Explain why we can use the intersection of the two graphs to estimate when the cicada population will reach 100,000.

IM Alg2.4.15 Practice: Using Graphs and Logarithms to Solve Problems (Part 1)

[size=150]The equation [math]p\left(h\right)=5,000\cdot2^h[/math] represents a bacteria population as a function of time in hours. Here is a graph of the function [math]p[/math].[/size][br][img]data:image/png;base64,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[/img][br][br]Use the graph to determine when the population will reach 100,000.
Explain why [math]\log_220[/math] also tells us when the population will reach 100,000.[br]
[size=150]Population growth in the U.S. between 1800 and 1850, in millions, can be represented by the function [math]f[/math], defined by [math]f\left(t\right)=5\cdot e^{\left(0.028t\right)}[/math].[/size][br][br]What was the U.S. population in 1800?[br]
Use graphing technology below to graph the equations [math]y=f\left(t\right)[/math] and [math]y=20[/math]. Adjust the graphing window to the following boundaries: [math]0<[/math][math]x[/math][math]<100[/math] and [math]0<[/math][math]y[/math][math]<40[/math].
What is the point of intersection of the two graphs, and what does it mean in this situation?[br]
What value of b makes each equation true?
[math]\log_b144=2[/math]
[math]\log_b64=2[/math]
[math]\log_b64=3[/math]
[math]\log_b64=6[/math]
[math]\log_b\frac{1}{9}=\text{-}2[/math] 
Put the following expressions in order, from least to greatest.
[size=150]Solve [math]9\cdot10^{\left(0.2t\right)}=900[/math]. [/size]Show your reasoning.
Explain why [math]\ln4[/math] is greater than 1 but is less than 2.

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