{"id":78,"date":"2026-10-16T15:04:25","date_gmt":"2026-10-16T15:04:25","guid":{"rendered":"https:\/\/stargazing.fans\/2026\/10\/16\/the-collision-course-of-the-milky-way-and-andromeda\/"},"modified":"2026-10-16T19:30:38","modified_gmt":"2026-10-16T19:30:38","slug":"the-collision-course-of-the-milky-way-and-andromeda","status":"publish","type":"post","link":"https:\/\/stargazing.fans\/2026\/10\/16\/the-collision-course-of-the-milky-way-and-andromeda\/","title":{"rendered":"The collision course of the Milky Way and Andromeda"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"78\" class=\"elementor elementor-78\">\n\t\t\t\t<div class=\"elementor-element elementor-element-1430b8cf e-flex e-con-boxed e-con e-parent\" data-id=\"1430b8cf\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-22c643de elementor-widget elementor-widget-text-editor\" 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K0JComv5pI78xpyiieuwQBF0VBmRgC\/LKaydP0zZs39tvP\/qv1yes3PGMYHK74dXz7XzJOv2NwljB18nUiU\/7\/SiYz4Zr6fnMZxd+i7aWTQedleCCndrH8JA8gJgUgZ7Tx3PHmcdGvuhcuUzvUIPoLmppJMmNJ2YP7obDFcmGrxdKenh40ocyUYW8F+GeybLxPLpkMU67XN8q8hmhPQEg94AbT8OPjo6QDn0AdR+Q14cHbGNdriLJfKj\/i82fkk8fl1\/zZdaB4rsF4Ii\/6PeL5fc1kMGSgjyt++ulfMiXaOc3WZFFr6cJc7h0vIhLacyaTPBURK8tWoqRiA+kM8BmFUbHazcKd2bwqrO8OY9qRiAa4nlsPsH5UKJLIp+tsjmIy4\/pKfsVk6Dg6sU3mYM1Eaa0OjdU162\/3OSAHTM5CFIplOhZEShfQqZ0FimhaLmlm8GUT5UsE1xMvW+2bSdmq+ug5L3nZmbFI9QomA77ERFCGNzBe2gRD9HYGc3EG4yEg8oApsDwE864zcAvTgJUq\/HXwuIzZiWqzXobJoEQKgtHCkGVvmtlK\/pfWzVyBTtQFkxHzdhz4GPKljJiMpDtfSnr\/wKS9vwEnTn97NlBPltWIXSn\/KyZDWwNeYjJAJPHyvE3qAhoi5kKDvINhLvV8YRUKW1lOTfcwjvPxqKVS355diqF\/mAxwbWDgMOCcp9vAcjfVdywz1SFA\/ZvcNwikffXqlX3yySf2d3\/3d\/JmJj1tQRdGHzueE91qgg5mo1JTzg5R9kW7r+JzPHGfp8vf5Vk8jxBphLpkwbtIgxdWknBgMMFsoDmPQ5oprPjFL\/96oDHqKDodM2V9tuLc24IB1IFoBmHabyL+AYNhHkBcZ93apjU6yPIKwCA6OYvhg+Ju3OSN2F5oVqaDohFUmBHuOgMgb0xAdGrcB9BAfjM7uMevgzpNyCmsZfoVktAPVVrm1BUKwNYHhZZZ7iMTecMsNCOqrd7xLgCAh8RIYAh6NhdeIMKe2TARBPKh6p1+K29+g1cxC5iuK09RwCJMMJsiucDwxFwl\/bl+IuoWg095ZyGIOiwP7LXyd1ACu0gbzCvwyzvXuAby36QPgAl4eQy6yfmM8hyQRIkLhvmSrsbzoZ7XuiAGfNTH657i+U3u8LRUNX6jfwLyNpTlXO2F9hJpu0K8XNhitbH1zUY0ekIfA122nbX4MtEO661tz9aez1ZWlEk7wCM5ISE5gw\/I8RR0G30RdVqu5rLA0ebf\/OY39u\/\/\/f9u79\/BZMZXv7UfAgdIBi6hTwwZoL\/zdEDgOfLL8+UKziOf6RnWocQoUl5Km5gHwDXKw+zPmGKiY+zOYCyzWpM67+MGUaFO+OVf\/s8DzEF6ATGZwc7FwYZTZ6uqtrY5S2roNaW3NlOFWLaeR9M1ysdQBDp4pduBmdCZDFcYTa39RZeu9lRcs05SIPMbooZpkCYaSCfEOzCDgEAajcetOyDxFc8PjjpzJkNnIzU5ogNx\/J67RAHik4VGcgJ7ZrRGH6xN+2d4GIOIK4sRyQNFp8HQd42YXJ3tQYmByjttmuV8BnPmpStlyCmQvHNJxh35vDwPgQ8CEIz89evXMsvqGY7r6icYoFsJog6AE5f\/DiIPyO\/jPUDWNAam8JWY6Ejfznx95vayoywgz5P3WYpeMxnx70T4+bs5k6F\/AN5i68Q1ID0jrCG5IiVJcoXoq5UtVzdiMujRYDRN29h5u7PzYS+pBX9I9Hmi\/VGJ7zgMJtNmXs\/UP0C0nOpNiHYwoyOx0mY3905K9IA8fQ4Rjy6H8qNvwTHxlElwekoSfdLvRBogv8Z4iXp6vbmCI48nnfLIpZdUHlcMQT52khTD5C0ptHZpsapUl+JXv\/5fBzKGE4nJ4KhVNHa7WNlxu9MM3ClDzJSudUfsPp2OrgjVEixVQjupuadhvbV2VGUvJBmcvLROd6IGVGmJ3DkBOiHzjLRANA4IPxmA5zAkoJrdpOmNePcG5ZUTGyFLuL4raoPJYB1CiiF+sViK0VEtCDKRtBWJyUBcUpDT1tIVyzGImjO4caYEE63U8e7MxXMNdxSvEAKKV\/Q\/iaG5JAOBMJhh9BOTAW8wGfiT30+MJYiK+yAq8ECHo58iLpdk5loyuudx4JFrvEuIPolnAZ6HA4TEM7YXVLMw4ZKep44n7r0N03vXUNeLF5lMWCcIF+VmTEY6u2QhK7KlZAA6uK4rX2Qyq\/WtrTdrqxdzW63X1g2DHZ6fbL\/bWns6a4IY2saa89naPjEaJhnxNWc2LC0DLnGTBmCKi3bg7LqYr1xa1pjAw5y+ydbTWfocyBP8oL9B8ou8iSNtlBnvkUZqgfQMyJ9zBecxtgieB+PDlz75O+A9fz\/yZITjKgJDYTwVM1YIbkleLdcuRVLHX\/36fxlIAFedzxdaRhybo61wfT+erKwqO\/WtlfOZDc1BTAYO351PPghBmirikozE\/+S4tFjCrVsxLipIY6jmrMLTVkoIiVwdiklxzkmSyRsU9znM2EqeEA1SAqlDP2np6xpP5pOui\/VCuh4GMxyXGYXBSNv5jY\/NarlRO2C6MALqxqzG2hJpBp+TFjaC4m5ZS9TW2h1fn2RePx\/37sTV0gGlsYlXug6cxvrBdru9tO7HZu\/Sm5XWnJ3hELBO0SYIm4z53fWtZmXaBeONEAPT0788mJFk3A+JMXm5JygC9Y4QeQI5EeZAH3t6n71cGuvlPU1fMCOq\/jFLJwlVt1l55JNDxEtRlYD01IN8P\/7oI\/v63Tvpk2JDqvRY2R4rgDxw\/rTBFa0cawHxU9xycWM3m1e2vkGaWdtiuZRU1J5Pdn\/\/zk6Ho\/UNToit7bdbo8dpjzP6VhsjsSImPzRB1Ft1zyCnXVnwZIJ36UIzHnSReaJfwvQ7rDt41nKFMZM+cBn9xBiAwUQc15BkcrzzLAK\/AY+H+aSlULJ46R3FeBz9TJ7Rz4yR5WptA4NaTAbr3cJWy6X4CfUtfvnrf8dQlyendkziZYmVpO0k\/peLGm2t9WVhb9Zr+\/zz39sMeZZO1rxC4SCCxrilxJkNM6fPklSMShEnsTP5NfCbZ2ODFTsNAEBiWMaNA1oIN9uPQ\/6eB3FmixX6GTcpw2RqiZrkzZ9YHvk7zMyUM68XSdyrrJhzZRIsbTHHS3Rm5+PB2nJj9RwEM2P4GSa4389QDM4KO2y3dj4dbGC3Nss0pCARGcwASYbONjs3O+Gc2Yx2IX6DqzZ5K4dORoylb6VrgoCCoRAfeCJEvLfRrwCKZGe6PIjl7IRjggjpRUK\/7IuA6F8NGJzw0rKPAbNYsN2\/tONpn1p9WS5poyzw\/FJ8zmQA4ijve9\/7nv3+97\/X8QuH01EzJbTUZ\/vAANHBgGTrTAZJhkmEpeiy3thqdWP1fG7r2xtbrJb28ccfWze09vXbr2y33dphv2NvjRTBh9Neej1fsjJGSjs3JzGZ0ENHvcf6J7iI0yTjjNXTOJOx4mUmk\/92GnWGAM58ReBXwJmWA+ni6un93ejDKCvGVaT3tB6ibEmBQp\/nFfHBZHx5VNp8tbGSlYSYeWVVuZJBJN4v\/uJXfx2GCZ2zAaNA8tjv9nIlxp9ivuE62KIwW8wre3p8koPVTPX2bd4sOSA+Gi7JCJ+WDubimnUYGQ3VjDBM8TAnlGw8ozHXEA0DAiEALFAN0h6bJBYnTrtcLuywP2jQN+iB5jyfO1ILlL0eQBTZEz+buWQD36YjF7driYm+f8fs9as7zWDndmmb1Urr+Aa9i3woOiv73t68eW0P79\/5EgrpYVZah4QnScaVvefmbKfjweYgTx1X2ul4tuPxJMtYc946QXdNWvKc3X9EUk4rRgOOg3kD4I64IKSIB8qy1+5u2nl9TlCEIKAc1wGRJgd+Um\/wxMAJJuPb\/XnO0mKqQy7JUM8oCzoJ+JeYDOB05fSl5RJ9Pqcf0Q9OSw7eZ6BIihnmYnP0QzCZebXWMQTq67qSbuaP\/uiP7OZ2Y1+9\/cqeHx\/tsN\/b0J1tt3uy4xFfrysmg0KY9qZqRr1V9wyo4\/TM8QaTcXymwV3iTZ4kilAoq32XdE8Iz2reh8GG1KK2pGUvehtwGe9EHfI+JM7H3sSIvI5pDKb0Pj5Q3vI81SNJ+jD6eraQxW6xWlu1XpuxZKp8smbTMTiXTubnv\/qrgZcBKkckBbDeZqYFGRCDi\/5nLX9AQp\/8MsAc+PBKXjYG4DeHD9EoOTyhTKMxyawX74RHZdRlygckTCZAxVCWJBY3kbHpEFF2tVpas+9kPXh8enTCgrGhNS\/xap3ZDKfAGR1V2Wp9Y8vN0vVLGcJVr0USFQs4MgyotuViad3RpTI6lLQwtzlns\/SI2L0djkeT0km9gtmYJZwvIyWhDKypcRcIEbyz7XY3OvK1J5SPjWuCh97Op6PKYnkJ\/igPIhcumcnIs6MfEo2qnEZmePBFGwKon3Cd9ZHSZAOFNkUaLWkTgBNA8e3Zpb3RzZ8yEf3JKfWRrHq6FUSe1\/UJfd3Fs4zJRJ3km0PeA0sCGBWCrOt\/2NTK+5HeQ2WDlvDp\/dS\/6KWW6xuDLc0Wro\/7g4+\/azevNnY4na09tbZ9frD97sGet++szxhYMHLCLPUPQL4xsFNFx\/jxXozZ66bf6T7anacFlFXqC\/KONNBjQIwfIM8jj4deXGFs4ymDTMwutVxKMtCq3BzU1zObYdqH\/ue+H2lVL+VcO5svbKgruXlwQFW9WNh8sbQS\/yPqvFxpjGDkmSO4fPqXfyMmI8QlQnKx3AlDuETEK82qtLExGh0Ip178joYFBAIpMDqB3yg9Y0bjGemgHySHSKM45ZEN\/BHRbmqPeBRqH3zwgdyYm31jn\/32d7ZMe2GCySznEATtwKLA4CilANxsVkI+gNKUvIFiMRPC0GM4R+e0trVZ545T1I94dqn6ez7YDs3REZ0cEisdQ4AeB+UdPiFIJq2Wo7SBOBTC53OjwcvJeyzz0Asg8fC7bzp1MukJlE+daRcg4pcfjw8ClSOr0uWgBia8et\/pd0bo4DPi5b+SIPLRM3R0LCuLENmhH\/ZCpcTJhK01e6KXyDOvT85kgKjDNZMhSGIRU\/XlrJfhy0q8eCP\/6R1cD9O7GZOxorbZam31ZmUYd\/Dr+eM\/+J69ur2z7XYvvrF\/frbd4b3tnt9Z105LMd4f20G5V0xG+WdMJodvYzJ5iPr7c8aL90U8B7ztDtEu4DKNx\/MuNEqf8ptxLclCaafxHu9yLImYjyx3SCs1FhDpL1EpbZBYkD5ZKi2XrsjuTUzm9u7OWunYpKuQ4hehQWPnl7\/+n7RBEqJlsHhFnPMBIE9EjEjc7vQSv3NiFBPKkBXAs+hcrmHxwNEuGh4EyH3Y4\/M8gtApN55FflxlLSo4S\/VO4ugnP\/mZDoc6nc\/28PgwMpr1yusL\/TqTKSTJMOCpU6wfuRKEYMopXDmMCIhpuCin09qou9pBZ7EES\/qseokYST3N5mmZMgyI+ixxnMlQZzErrHmtHweBtYpBgyWiPzdiMOgFyr6TFyrp8RJFitGBRnIcQzqCCbGnypmM8nlBkqF+3l9XIZspwXPE50wmgHiU3cyoiO5qQyIu5w3+TjAZ4F\/DZKJ8AkwsIPqZq6TgvhKz9yMxOkmyWDfJC4gyWILA3OPdkV4WSyvmC\/vl3\/yN\/ae\/\/VurZ3Mdt\/Bqc2eLem13mzt7+\/YLO+zv7Rkm07Hr3iEGJWVYe3nODOVzzZmM0iWQC0Rqn36n+6gXwRm2A79jjOVprplMxBMATzMxGa6RFkCq8aSRr97Se1iKWBph7NHGmhqjCNI\/Vlezu\/WdpPqOzaXrtZiMW55c57lYrl3JXt\/a3c2dnU8nZzKffvpXQxBZAETj9EInugKHDj6dthK1WCoFwqVroUKpYRBMQDQs8qbR4B2RizjKiFKpA6IV74BsVY40KMwy0Y5APLM1A9VN0Cxn4Ni1rWYzLZu2u13ah+TLXI6dkB4BPYmWYKUV2lDpnUl5EAr1Z3mHPoeBxGyyWKzkWwMeivlyrAOadRz6OI9GTAZxj9mAzhHDxDoFvqgn5seTVTVMoLWm80Gn5U7vWwxQPp7ORzudDrJ2QNM04WwAACAASURBVJgwIU5JOz3v7LPP\/km6G8o9HPZ2PJyZ3uVR26L81Mzqx03IaJ57VGf9AMSgFGQMR+1KIcz1ToTRf85kxFjS4JZUg0IybcqEIvH+DUlmohWvQ+QDxBWcOmD98zjAy3fAWtGcuS7tT\/7ke\/bZZ\/9opzO6t6TgzUBsJm1VyWmH2bZe39irjz60+6et6GZu3sdV6ZMJksx+f2+n05NhWBRN0w4GbtRZE4WXBQ6iHZhxA\/K21TqMzH\/DvJXXFdMF+K0gvzO\/J13UH2buV08LbiOPSA9Eeug6fkca7mEokeYiPWMQXWeyNCORwzwgl1XC0YzlV42uBkOJL5lQ\/kIZH3z4oT3vzvbRmw+Fn+3zsxW\/\/PSvhguCAwZ0GTAL4jmgu7Dvfvc79sXn\/6zH0ZCAgfNi0sB7iajjCrLAe5H8LOKZGop7d5JkgMhvmLEHalpnRmDGlzK3qO325rUOn5aTXXuyu1c3dm4YsKeRydDHKmtW2hk\/Frh1UdiG9eXAXhKX3pAoYtnkys3pOAflNfcTy5gRwsdDhyVrWYf3H\/wGZ6S5zeD6BhMqZB4HN4slsxOmCdcXgRCIWIRqvZ17lkksmU5SHsM4zoedNYe9PT49SYpCDD0cD9bsTzacGzscnu2MNQczO34dYjQ+kPP+yCHvc3rC+yYNlMBxxnSAMY0kpsk7Wk55mU5G6dIerng3gN+RT34f\/S56S9bHa2ASQZL54z\/+vv3bf\/sn9h\/+w\/\/hTm4vNNGZjNc9aIlrVS1Ef8gns6qWNGtY9tDprTfWnltrz0erSpacR+tk9aOASzxo\/UCLkxTjzDbtk8og3imLafKFlqO9ntcEpFddi9AJ+vuKUzumJU7kM75zNXYA6JMQzzwtaTw9eURgHLP9BoUQuBkkNZW2vt2onqv5ymqcCdlvtWJy9zrOicdXpprb7avXits+PcpiCi2PTOaisRmTwc\/ieNzbb37zv9l\/\/L\/+T53Vwow+Eq8OecJfAh0GSsFEvKOmnEZx7z4NiNQMxhwxgRTtoWHlkZiQ+osT8dKp8\/EOAJOR3qUv7aOPvmPnU2+nY2N14boNyiVf\/6RFKZFY2yGQZKSzYHDMrGgHW63W+k275sullo4oc5FypPgifr70k\/PqpTxFcewiHYxR+pB0UA\/7hhgMmEZRhjWYUtkHJYtWaes1ptXBFuvbcYAFk8FUzfkqmMBBFN7Dx\/3BDsedFX2jIwloDuXtT0d7+uq97R8ebLt7svPhSWbXYTjJce9SkvE+yfs4ZzIyxsipkCuoo2yQH\/3nOI\/6MrDlca0DwlBkI9EtRsYmyI\/uyMolr8gHZh73kwTc2zxZViji8t2Z+pv+YumNgATOsBReAzlUOp5kYjZyyBsqa7peu6\/PQ2ebFc6b7N0723I5t+bke5e6HleCRoeRSdGsTFO9kPBmbsOGasVkcPdHalVKTxd445p99EAQgz7vB0D1lNQ0MRlwEOMEWh7TyIx8OYYIkTfvYQ2bdI2RxpvizKWSToV3+h4JZq0JdbleWxVqE3bI952tF36syfJmbfV6Y3W5sOfnJ0lvt3dvtJOe83mY6JoD5xOfrGcp\/Iuf\/6WOegCikix\/wpEKjseARsF5OrlFBcLlHa\/4hDAg4oALQs44KZySa8QxiEEAAxkpAWkCBMR76sTkaxN6I4gx8iAu0pQFn2JAYqmlHdfmw7K0zQyGxEDyfSk4NuEUN5zM1usbO3Znq9crmTXLmiMSDlY2mKZ9oBLfFIPd1q9sDpJvN+6Mh9fmuUFekZIMJsZsybqWUJRLSTYsn6oaDTz6KPyROItm2vjJIGMPDRw1cAsOYGSYUveHZ7U7dGd4f779+q19+cU\/2\/PTgx0e31nRnqxrDnbeo6BHHIdxOa4cfxMuyRtJjLJq8JA8l3lG2YSKbQgMdPWETzk42eMN60tJHzmj\/0diZoq7kk7IF1D\/J4h70sZvVO01S0ni8dnQsZheH7hh5EP9wR1lXLyfBlzgkPsohyttQoegNAy0NPo5jkKTUFYntSEzVUc5QFMwkXmehEiPYQHI6wWAH+ocaQPY9yP6yiSTsW6Rnj5JuGQMEBfpuAfi\/jIfzpgmH9o7k1d6DQ2SVtbiuU5FRLJj4sTyisDAGJxJOkEadwbEchJ6leJXekZ8KlyxCzMiP9QP2z309yyawoP6jP7yV7\/8azEZiDwqmTMZiA8OD0G2rR9cA1ICMd7AiXAuETvejsghMPgCWHbAZA6Hoy0Wa5sv8G9wSwIExTMGF\/UjDyFACjEvHwSoc4MQ+5MrHWe1rTe38u+B43fbky3muJrjf3KUxy7JOaJxc7ORBPP28d7++Pt\/YlsQc9jbec\/WCZhlZ7PFXLPi69sP5XiEdeLp+dFqJBShirqoYHpVym10BUWFcxpHC9CJhLmYG5r8UHoC8oyWW0DMWA7nprHjYWfnBvN\/I0mSKzN5Vbt2f\/f0aL\/7p7+32dDY88N7l2rSfhtmWL8HR85EIoBHwHUsPkiID1xWLOleYDK48YcehvQvMRniox2UG\/mrjxJE3xEA9SfaCJTZMYAZJdBkkmqUJuV7zWSAoLM8rfKJNnFgVQzk1Cbog\/5AAua9yJ979wVzoE3jPUdyaL50xk1a1SMtZyKPgGAy14CT58hMUtmqq\/bZTbQQ9Q8GEr+Fzat2Tmno2\/QJn9IPHmMiF8OSrwtGjrlPfpzJLQNO5X4v9UKTtNw3ylpjE0dL8o+xiRMkNcDXiEPbOHfneDxb0cErzvZw\/94azOZ\/8Ytfi8kQopIwGRGGlhCIQG7ixWGNdCFtBAJyfPoZKQFOUORJ55Oe90kR77L1HUbCtnf2soRoF4zFZ3snWJ5B8hrMKQ8QGJ1DGaczyjx31OPMXmiEfOcdimWY2V7WGxin8potNGOi8GJHuTTrfW83fp6m7bc7+eFA9Kzbb19\/JOXrnE9FbFZpWKFQXoswRGToctjhXdViBH5P+\/mNchvx2d22g0BpK\/fVLL6aMMg1G+WrJA55GJ+Fpx0n2PPVRMzefWfn\/ZO9\/f3v7Pj8aI\/vv9QZtUPsq5LuIAaBM5uYIMAXeKba\/vxywL\/EZAhgNZgMeb3EZIIBAMFk\/H5iMnGfP5Pft2hI6zZ9ZTIkBvCjARNOeVKg4o3t5ZALaciVWRX6pQ4E3idwhJoOrpKSs9JGVa64GsC4eT\/Sqzz6UrlfMhmO5fRlpQ+6EX\/ZcoZ8iFNeHfUOfKRxxgkXcl5LSyPp\/3gfxuX4i7TEgS6WqhEfeQERx5UAjviN9CqpXucjm6QTxga+Lprwkg8Y9Shmc0ks682NdEs8Z7JkiYTjXeA\/aLU9Y3zYyZIJj2DyZonEHhhULPh40WItl+LFaJDICEkhuRlDXkAc40AAsRCprDzl5MEbM7N0MLFxMiFCxKFOdXMvgCRDR\/AezwNZalBac0YehAnB\/HaEkjaeIVag+9DAlnactKWt8Nbk3BkNNNrqhM1zykdxJf8ASeUzu3ENkmZuBmJ3bmzOUY14WfYmxrNaL+XpiPmu7ThfeGlnlMCj1FK77oXlO4RUlnIEQzpBN0OdkWAolzYwUNnYx3CBsYJfAOxz2ARm62dZPnDew4LU2m7\/YEeWU0\/v7MvffWbNcWen7c66M4QQO4hjEGSDIQ1swbiTeprFAbaP5ExG+jHoAQYs8vF6u0cv3qBT3nmf+RYJj6ePA\/RugmiruoVlYxokMDUYLAADmvJ0KZcJAd0LcXn96VeJ8Ck9wJW0mgRoh4LfUy40DeBzhYKdkNeX\/API0tsUA5w4XBimbQK0CbrWZNK51BdxTNSi23S0QtSb53o\/2yTKM\/KAZln+Rhqvx5RmDPym3rr68hyrWVhg0aEs1jdu5UXKlj7VJ+m7V68Tc8FburSb2zsdgQEt4SyK3rNBZ9Wx7WIvi6n8utgI3De2P+x0RIax\/NezxiUZEMlAigqzRvNzX0EwiI0wKV9zJoNTFPcEZl2BCM8RCHha54TMMtzTSYFsJCZNYmkGFAEl8Z00AYFQ\/9auP88RLEFCh+Uk70NtVyztjo3mrLtLpCR2IrtXKvXBWsNsojzIvyhsjRcvOoyqtOenZ6uL0tZYUdgG8Ly3igxoR13aMJvZcn6rDpEJM52+RkfPl7fq7LYvtO5FXwMmq7VLLPvDwTbrdcIrYvtKdRJ+0iDE7MpOMfoIqxLt5n6339rz44N9\/dXvbXv\/tW3v39rpuLNm+yAlsPxydNyCM5d8sFNeQOwvDFwGSMJJTIZnLzEZ8nqJyQBBKzlzy\/PP63Bxry0KTBi+TAILPNVeujTJQCfQBU6NpI\/+D1A9MyYT+YshkYdCYkTcazueIyLqSVC7E0S7APKLNlGXKIPzZ+JefRjvaLOm75InLuh+SMsivSudk\/dNfVFvZ1jcsheNd4knn0gT9eVeY4x4LYnQwSAtMZnDSHD9r221udOGRnnragnlbhx3d69V3d5mdnN7a+8fHm1oj3JKRDLm4Dc2\/0K72suHl3pztNPhWWb9w27rB3+hUsEzHGElmExIIFSuaXubL1wUVsPUxQlSo8Rk0mDIrXbOmBxCMUh6mAbvIJ2kSCEFTse6D1LGN0UFYvlJytKYYUgr5PEPCQtLQ5qRUGCJQyNmchyFdpP6vhWfBQu7gWE0Z4msapM6zM99ISFMrkzexbxfzlzZS2DPyGa+VHh+fLb5rBJ3P2HFqn0PDId0YwL1WQEHJiSZynb7syxGWMDwN6DOPdvjF3cibllk0jewEebrBRswOXCp174rQJ9qqea+NOIogr633X5n9+8f7elxaw\/v3tru4b3Cef9oh6cvzPqjW9F6lk0uzQTRq8+EZwfxCerB7nkNVPqYSwyQNMDoewQNFEHcw\/zkm5MOLtLsntIqPcnILxtsGYBrIAYLwBWMsAwaGRxWEvqF\/vG1neJxW4cDkYvoA5GfouU07AeqkZ9CkoKwGMK8KFquFPKH8rYwYXodGKTBjF+WvNQ4WfAoW8hSPvrAoCarUvpFtUf4cOnj9ubWnp6f3L8KSVO8NFm+mIygdcYL4yhJSUj7MBa5X7RsO3FpXVZYjQVfZspqq7b5kQtM5izXacNCznNrX7bP5jZfuqkaBgO9kRbrLsyIprE7\/f39vfDIfjq+zbbf7WSSRgDhSNLTHkMDAcaDJHO2437nvm2cHsCeOQw0f\/7JL8VkAhkEfkfHx9XDiGExpTE+adQBuKGQSsdP\/TMyH9IHcV3+ZvYwP1BaJOSzEYpXRyB\/WUtTJtLCoM9ooJSCCbCWBNUscuraJTBnJF7\/smt8fZ2sY1wJLDkY4DBBlZHatNi4aM0h6MwudAC\/+EwKZlMIEiKJdTmMgjbSfkA4xcu5OeKgLQUxptMTpsC7N5J80PQ\/Pu9sc3tn9TyZDKvalqsVw0zObX4q4UwBnCPBIC3u9wd7fn6QB\/C79w\/W7He2f3hn+\/sv7endF1Z0J4nWPafFy\/2QpRPm+9DPTINeiyqYBU6WrMUZsFg90qZWzOnCTbonvZhMUWhpwTKOekQffwM0CB3ycoPOGLzCV8pTytg0gfkM7vvTtg9Pqkee3vVziQ7pi\/FDby7\/cA9w5R2nkETTHPmZ6qLf6T4HDAOBr7zu8Bsv81Kh2+l40kknwr1oK+WOoycWQvLSJF76OALyusJYpNxP9IQEBF2fGeD4fko35XuLSK9xwtKLsYGeZ77SJFewR+\/mxsrF0nrO2kb\/VLF88g3C5BMqi8V8o1MBqBcMArUC+ks29TbHvZZB6FxgLOhb7OCnBzIW3DDBMsoP0ufq+XQvM5mY8YiLTo4QEM\/13qga88OSI5+cycS7XAOZce\/PEjNIp9YDMBmyYCc03Fn8Onnh1ovKVpsb94DFK1FMxj9h4nVA9IcBUg7i0Fn5XNeDMiAC3gliIUk178RkZprV\/Lxj\/00dYpaGqUJQKFBjFnSiEw4g6OFs28et3Wxu7fH52TpmIFzbB2Y6NpetxaRZ3i2WN2YV\/jWYD9l7xSAorNf5Nr5c0hJrv9fh2\/h2nNrOPv\/8S3t6\/852799ah47m4Wvrz3ze9OCfpEhMhrUkTCb6d4T0dc74RhN4oa1dWrL6Zk7\/1AVBcanvcW2gTvIZCin1etbPmEzgP+5FJ0kfwDt6D2EjMZlYGtze3Njuaav34h2nHWjJ66JJSqoIp6cp3mlMdE6\/xMSQJCWCn\/g41W2E9F1uyiQEMLGRngD9BNBnUSYDLMYWViTaSB8GfQCoGiIf3lFciS+QHzAWjCAAFsxvSSvpJDpJQZLkmHxLq5crWy43WrrDZNa3bmXVoVIyQ\/v5S5E3DIw+rAo+4ra0\/\/rbz+zmBufRxh4fH2xRlrbbPtnpiKL3oGUQHukcYA1jQc\/Jskm0JhT6Soc86cORyQBjw5NWnKsSJSRMH1fDFAZiiZ8QK2RmhDYeWpSA5wD55vdTeW5N4JGWErIGuNQO0SG1SGwsaz\/CYTmJo7JKiQ3NrG8HLfd0xAGyAKsNbTjz8oIoZK1Kp3kh90KwWBpcqjlLB4CYzlKMdSgiIoeaw1gQS\/0UMerP91yoqe\/3YZagTiC\/7\/fWHGFwSGiFdv8y07A8O59b2\/NxsXJuH3zwsfUofUs3H2JGbBNN43nZWaWlJRspn7dbe3p8tMY6O7R4Nrd2fH6yz\/+\/f7Bmd2\/t9t66405nuujLEDhW4iyGxS0xDMJE6InoiWdgwFTp7wXn4\/o3nDhYTEPg6ogD+gNi0qOMsZBf5M9gjv7Or\/Ec+oNuIMzII2gimI8mjm5yaeBKHvSZh4nJ8C59QfYePw182HbUZ2QyslJNE2XUS\/lnkgz1JA5gUlF+GS0LNClN7eMd1UOHXzH43EhCnL9\/Wb+4Qpu0k3bT\/rGcoZc+0tvsznSiXy2DWCJVtlxt5ExHuo8+\/EM7Nift2EfSgeFHGc6s2Lw7+BGkx5OdDnjJsyxHEm5lMSo4B1nOdehmOMKl0V45PgLJoXCuFHZPc6rI2UcYMYQOcBhMRmJNYhRqTII83nfAOmKBiJ+h\/EwIxZYOAvntVicnBma6WLuOCEt5RH6KB2Fp5sOywUDnu0uu36HTnQlg42c9S0csFjAfX6Zdfn9uYiyYKPO6A3d3d1bWS\/vOd\/+NTMPUH1CbSj+0SwYnrCxsOmxaeYhy9ghioxOIh7lmFsymfioe9aUDjscnO++Z5eeyQg3opjRbo0TrtH8GYnjz4ccygx8bP5hY1i50VTjnsaVh5kSHBMPSRFYmjnwQ45\/Zabez3f1ba7bv7fiMbubJ184674aNhYixzmTAUzCZ6Dd1GlKK8tPOGTvVWONckhFuGSyJwcSsTF9AIy9B5D8uT7KBRIA5qawM74RYngHRZ\/l7ETzOJUm\/n5ZLItfEZPL0VVIme+a+dUJtI02KBjf89iQumQMhmXz3u9+1p6etJA3SBWPkHn1ElDfmS9npc7rck4c\/g5kng0MKPOOKP1psWyF\/4gnUlwkLZsaVCZD0vY50YIKaa\/mN7mW14guOG0kbQitMASuullMuxVAfaJ++PO0POgQfczRKfPQ+292zVWytOB7scNhaj6UV3RWnE+rLHuDPmQxGBuqqs4uz1U3xyc8+HY96CIRQeEAwGUHGZIjTYIdBsbHvdBL3jT09VBqbfgDIinzifcJ0D8K1p0BSjJSyzHK44KdNidHh7DOice7jQF2Z6dhb1FnJSXMqBWJznQzvwpGiPOpMXRFJi\/nGfWSy9T9lbBb4TkAcKR9mop4jI\/gAOX44HF4Eo2EmLq2U6dK3LAAoLnFOMnQjp8Z3rDIgy9KOHHjVcDDYUTPP4djZ5vaVrdZ3duYoCRE5TAqtJkslmMxyZDLgmiXT0zPHQxaSiM77nZ2eH+z4iIXpybpmL3ywfobBSAGMXPcSk4n+h8mgl0nLjCYdKM1odSlRaFUf0cdB+C8xGfAcgy+YTMR7f\/vgjD5R+Smeb1zl6YMe4\/llcEnTmf3U31rSZhI2QXmJEfhyl5FHKjFSfqqUCUivLTapHTlTJCokuKAbAsqRuM\/bxKQVvwNvKjEbU9FWAunAsUvVHq9xsVxomcRzdHrEa+mk5fZKej3oGcPJYnlnZbnRFhm2pmBVPe6f7Xg62t3rO+VBG5iwaEOHqZqN0OeD0tLZ+iYWyyMkG+2n8wPV6HOOMQKB4fSJDke6yrT5F7ypj2EyICqQ4YHOSZx5nA1KaxhkS7TVdMBM3JaOYXMeyj8aTOGs+RiEFO4H5CQrVOpYMZTESFQGiE+cWZ6OyfRIPLoBdHisN7H1u5gMufsnV\/SZCD4rWrsoyayr4zAlgrBU4lAtrFULW3DmKMTfFbbmTBEkpMWt10dtcq0+CNfySoTpmyvxGXE89MlzWKd\/q42EedlKwgHpKMvUPg1iBjozIMylszPmP5R+jdn+eJamv+0Rj7E8zdir5wpf8N2yOZQKLK0rkGTOttuyDHImw05zMav93tiefHx+sHro7PHhC2v0bWcXCjk6oU0mbTo\/CIDKqn+JY1CxFIKZIMqLyXj\/k45xyXskhKWAK0R\/DRYnEu\/fACX1\/D13pyPwEvfSm4kWfLAL3yxZ02we6eOe2sX7EedMJtLDkz2N06+SjvnoCj6ifJ6n+ommUlslMSdalXk\/GCI0l86rpo4ff\/wd+\/LLr9JETDIkcfICp4jQXj6LtHoB3UGvzhSEN0rrp7ZGOwhYzihTaoJ0iiPE2LNlhfGhr5b6Rl22s8jSir6ymtkNn9+t5zrL+HTw70X17cm+fvfWVovaVktfbr3nTOMTLhGtPMKQVrrTWUebYjCgvzl+tNTBaOk8o6To5Tebkulfn7hiyZy8gVMQY8aEzQwZHeEwdWw0WpaS5KFLQGQnA7ibPADU4cUoQubvBkId3H6PExJMhi4VM0GZm0S\/eN8DGnPPh0azRhUjw9kuMROZviX30Ni0fi1RQnP1k\/soh3c261vJR5IsEDvljOS6H+3zwPzNvg5t4sTGg6k0zIRmjfE1Sf\/saywfOOtlUbmvDwTmUgPe0qQp\/eBrFLano3ZSrzZrzWBbdlFLVvNT5vrCP+LO8giS3h07+TSUi5WdB\/8CAW1n6cnsgyVj+\/xkTw\/vdVJb1xzt+f69zNeFHA59NuUdZkXaE0xGDCOBNniq1zX3i8kAXZ3GXVpCTO9O3CTvrxwu8s\/uSR+ArMrvyOOlax7AUTyLwG\/o6xu\/1YjUrqyMgPwegM6u8XINU\/udSZOHJIAkyXn5KXGScMQoJEFh+kf5mszEMtEXVuozxV7\/qCcBKVo+V5xHjbK2XuidcnYj87K+psF7nEVBodmZuv5VSnyuKmsPrl9BaXvYPttmw8FTlbVHzlt6Z\/2AND7Y8bTzg9TOvu1GjGdwxsJSyK++HJqC4yTaH7iJ36ThvvjZT\/9CTMYlhOioWONOHScJoJxp1sScGNYEzqVoD\/t0P3V2vEcIDj0CyrHk6QgHcEnGv2Md6ais3lWcp6XCoQNgyeRMBp+Uicn4jOLMh2MDUczyDk5wOndUnz7heMDaGRyF4ZSn2amwmg5mNiz4xIkzlnntn3GBzDHfwmBkLYARSfIebF6GaIuAw\/kjKOjY1+QiKZ+F3XEGjHYPQzysrwvbcjo+aRC\/2cxNSyD4srYTSz88Npc3dmhNuIdZIDWCf\/Dw9P7enp\/ubVnP7LB70poZfUxdl7bb7XT49tu3b\/VO7hSXgwZMWkEEg+GaM5l4z9\/NGEXW3+STx790n9OBL0UnBhD3epYNuAjSFKV09Huky+luTJ8kisu8iJjqm0NUnTaQNiBv0yUOXGGtmTrDgS\/THBgTpCX+g9evtHlQymbM3OgqoSN9FDCNsawN6E24MtloL1GFkQKpZq0d\/jCZYzrKhLzm+FelMUyZvMuXF3Ai3e22+rqIlsUckH46WSMa2mm3OWOYbQAgAYUubYJ+YTQwGPIED6Lj9EkWZyCOC+4DLwTokivAs+LTv\/gfByL1IzWSmYoKB4IVj+McIlXbuiUHpsBeIU6Nj+VPamB0eiCa38R73CTJSCtOFAQgS87EZLjyDgxPInz6HfViqSMHOhEUdfT8xXSYLfT5CN8OL6etodLB01IdSwrycqqFnwyHBMOH2LTUghh7duVSp3QsYdrHpc4Gf8NgS\/AwMplGR0\/gVo0oyQOY0LzEFO3u+Q9If11rr16\/tu3zTt6T9\/dP+q6VpMlqbg3f7NbStLDDubUOXVK1tMYqOx78RDzy4DMqOD5tHx6tQevfHKVcxOPXON5U5\/B6G+kz+jg63\/Hq+CTIdwYGzbI0MVZoRGf5KAcH0vr1coCCb\/okaEh9kuUPBD2QNn67Ut37DOAdfkce8SzuQXzkDV1FOtL48yk\/JhnuI01cCVFW1M3BfwfNA3n989+EvMxgNB4\/4YY6gnPK+jff+djePzxIIYtilOUMksq84qS6qGvgyZmQnAs5yJuziPEg13ElS5vxtQzaRDtxBJ1xBq+fux31YEnFvqLFrLTnZ852OVmTjl6YV6XtntnVf3Jphc\/wDPhIsc2l0cFpTEiMKR3\/qs\/1pBMyU\/v5DR3Eb3DAFfBnE96Kn\/\/5r76xQRKEk5ABzcssUSRu1x4fnQWi+QAWHrDXHcgz8hSRoJ\/J9mJIM86ZLHS0ioPFoH9xBqH4ZL5059KJiRHnZTgjYXbyU+ycAElDveUqHYeNZ\/Uj\/WrN9nXeQULjcPTGd0Wj6JTuorMlzBFphbw5IRAHPUzmeEmSP3mGMhRz+HyQoldHX\/atxHURSOHf9qkWc+lQ2EbA2hwzIPfoub786kvHwWxhhzYdJ1lUxjnu+PEU1doO50GSDEyGk\/+kCzicrEM6Ou71zSNmJW2ZoPzEHuivCMw8QPR1xGt2hSg4kzXOlYUmOJ9Yb1xDtNohaIJr3kfKMyuPEH2kftIREz5xAIon9xjAki69D8el8RWdRcjzdibjy3F6yLPyPCKN8r8Arwt9D3Af9c+BqKk9XmfyjPQs1wOkF5TxpLf1EmfMweboQ6DLtGmWsaxLbgAAIABJREFUg9GjPpEXdWUZr820KMHZc5SOCEECFoOFiUrl4O3vzxMDYMySRqcl9o19\/dWXo9kZ5sEKi6UT\/QXjhqbIA\/1pnMwoqdf8WFiWbOQb9BIh6CDKjPL92QQjk+FBNDQQrkGeEEoHYUUiXXQUz2E+c3HZqbODUXheqaARkUgenNni3FhkTNpvYTKMgGAyBCE45YO5XMSH30piMv6+c3e08HSMllwznsOQ0NXEbwaGey3CYBDf0cQjoZR0JlIML6Tvfi85HoLd09LJ4NIebojk5V8ahEhZqrhumivHSPgH3jH4octCY1\/g34ID09Dbb\/\/5t87MlzfWNKRzL1++LTVfbmx3ZJ+Sf54UgNnQD\/dffG4z1srMUj1fNTjJbK0T9TIIoshnnjyeJav0BUwKVFwHITuTeQlgngHqo+SESbuiD8BD9CX30f8a\/OkeJhN5RNx1msiD\/nUjgtMVgfsoL0\/v+U30COR5AfkzIBf9iQ88Ba5yiDQRyGtK70wqYKwbNFRxzARfTOD8Fd\/j1icmE2mpOwwFqZarNjjCYGTJra1AJMbyyivpPcptmbzS4GZM4ln89Hhv58NW+jtoQg50Olyrt\/PR+4pXXF\/HpMNKBcsn7g64WMB8\/ICy2CeYh5zJ8DtwFfUA1Pc\/+9kvZMJGj+Bnomp0jBYhnnll4GzJ+sCuYU4XW6\/0fSa2hsenUiA2f4dOTUjwHJW38tf6xmcXnR9Dp8ql3cv1d5NTH0sXLAjpcCHXtrMMAeksX5wZgG8pYzFpQ3gcbkynDqUUygWfz5DuBUUwy6Ok5K0QCU9W4zuAY52c9HDt\/9AVwDUn3\/GhNrYpoSNK5k46BYaipRd5YdKt\/FMx\/BOTxKz4WhsoSYSZ77B3z8mnxwftaTqej7bd78RwX33wkf3+K3RdaxuqlaxMHMf5iBXpzFIIL+Rah1TdP35tPe\/Jlbu1pnUmo8+q6gsTMWi4OgFApHQ6\/aoZKsGsdgJTf2tyk8lFli36zt91etCgEQYckBY+\/ODDURkN6AiFNJuKppJ1UP1MjmlwLhcJd\/oOOwPXDzBjIOnIA+E7DVI6JkkiBGcY\/s0tNgtQD+K9r\/2e\/ILZEFQu8cmqqbjUPiRtMVbwxSBKMhxLZpaTtNjR4iZ\/HSNCepbCKM6DUST6YHJEgqE90IE2Pmoc+eSpvULJ34U6uqQCY+H4BT6mWLmkwg7q1Ur5Y9ntGvqU5Rl1Z7B31nBA\/+5Ru\/slJUuPOJdB4Lh\/koIdGsc6qWUQSl38WsRscZVAEvEPByKJ03cAkjnNCjqCdhDU4CEe53QV12sgTkzmz\/7sZwONFsLSCxwQHBAdEcBv72D3lUAJTCVFUNrhnBRh7C2aM+P5+0IKx1DyLO3Y5p48xDTg1ELcZRk6akBKXN8wicJL7w4cj+mHDTEUnAl4x7DEcGuV63O02Ux6Gz+kmvRMojAnlMb6EuSssFc3t\/re0XK1sL505bAkGzo9+QbI7pMGCYB+Ssu1Hgcm2htc3789vVzdWMdnWDhtnzM39k923D3qU8DM\/IfTaWQym1dvrLr52E4txLW2\/+F7f2T\/5f\/+z\/bF2y\/YOW9\/9et\/Z2+\/+Nr+9r\/8J9vv3mupVOqbTMw+WJ5wlIJYmH18RgmCAYJRODFN0sVgbq5kcMlXRlKNidAxTwL0BYH3cu9Y8sLfiHhA+SU6EkNC4h1cd6DyxHC9XPrMmQzpfO7h3XnhWzyiTNIqQbZc4rnSoBtMy2KC06FLknol5UMeXInUEjTrQ9U7mEyS3ANoF20hnve559qlSZgQeem9ZMqFDpAc\/XxoUZyXf0XfGhcwGfxbGHfVQj4uRTrmFeazWK\/UD\/raaDnYYccnjjnP5STlrT6re9hqLFFflj\/UBdeSnk\/06HQDXypRXx3TiqVIsz\/6P3dqhYXCtMhD9BABGVzxLg3H8gnaopzAUbQtcDji5yc\/+em4dymu7rHnQFyAZo7UuWRMhwIM25BgiFPmA16vtOJlJjOWlWY8fFhQdJFv1EWdQEhfTNAOUk6Vo1wkGZiMNuUiBZmf45uImXg8dN2xa9AB3vrCITKViM+Zj3d8bzeblRNaYjL4pSClLGpmUxTBjshZOpGPQJs5vIrnfUfH0ya+2EBamMza6hUHXrmPAx29e35vu8d3Ohgcpyi2R2Dapt2cm7r+4A\/scOpsvri1Zhjs\/\/mH\/9dOaPXbwt68+UiHaH32j\/\/kfgzngw2c2aGt9\/79ZvJxRud4CWtADoH3uKdeEK+YfPbRPr5vHM570WZwgMSYA3lJAsmWDkELgJiMFP2Y8315RlqWS\/SD97UzfN5dlJx9MjEHwjWTIW\/CtzEZ8oNTRj6EyOeayXi\/OoMj8DuH+E3etJXfQxWf571aOo3WJa+LbADsvJfE4uVrQk3jCMuq8W2veiGphVPq2NxYsmM6tZf6wkCwlrY6dgHF\/1HHKqDARe8CLbiLgx9yxnvoVtjYCC7cSpTahiSD1KPhCaf3rRNIOr4HaWKsBERRpGVoGglN3xHL8BR4AAKnXCMPSTJEKLME6hBfz\/jSgE5Knx8BcbwMskGSICGQMMUxk3EThCL7kZZJfkSDBwaqUomBuQJQz+gEXeHyySM3STMqA2WYfAPc6U0bx9DT4I3LcHfreDJH0+CjvmktT1yc5+qFllp3NzeawWGIqiHMis7sfFnoX7JwCYjbeaoTeaLQRSyFzUrpemptvdmosxGRMSsOxVJ17cRkW3u+f2uP778ya9LO5aqyPV8e6Ds7nTvb4+BUznTex8N2r3No2n6wHftKjliRMEGypX5vA7tjma3i9LwkntLfMDxfRqEE9sFPHQOumQyEqL49p3joCcWsfjmQB6CNlNnAiuCEBg34AIv4OYOPwa7P9k7She8gTvRGfOV1qM1nf3CsSSYNznB7IEQeogEmm5G5RHCDAOmcfhMDpLeyZVcMpDhmM37HfQwUgPT8Fv0n1TrP1Ma0wZZlieorxscA8LFjfLlUZbqOz9uF4aMTY3Gv85ktN7dysTgckCzdlOx9yhcV0B\/iH9WJwRwPe3eOY99QD+NxGqBvqbJUHDpTyJdBzihY8jRyvIRnoIvDgsl7PGdi8onKdTW0yc8k8r6NUxBJH\/jLccQ17uN38dOffqIYXgjQui1xJArxjFiS+PGYQaC8QzqUU5E+tqgvV2wBIF3OZLRmGZkMeUfwz6RM8VzjHqWpZkvO54DpwGT0jd6ZKw9psI7ZgXgoYpA5Gic61siySrBDFKUbW+C192nunpHQb\/q8BSQhfxg+chXu3KCWb32rJSa\/g2h31F1I5gvsg0sxdBKHk9fzlfXlxiq8pKtKRzM8vf9Kp9hx9ITEW+vt7Ts+ItbZdt9YffPGhrK37f5o20Nj89UrEez943sxqeZ4sOPhZOdjpxnsfNrpXTx\/6XxmMvyBqJ8Pep9pSIPYGw5q8QzgmfqRPkyOec5kpJoRIKlAB0hGuAR4n7qoHPd6L91fMBnpSBxX1IKlk3CrXcRBe3hle9+yXMpxzJV6wGT4HXTheeA4OUkGxCkkvUwoi6d437rCfQwOQs5kLuJj0kyMOZ4xaQRuoHnSoZeKLRRsrOQqFwydcxRMxseZrppwUZD7GdAENv\/KQbND78ngxirk39Xi9\/m80wHdnOGCdC3zs7xxL31YPHDv9CjnuiTpismQLjELDAzeXt5xNxXS0YeyPI0oUIVHJqN+SXgKesrv4\/fIZMg8IHwMACFMgUa7YxsVAKaOm8xwcHQKwUyM52u+XEKSUb6JGLjnKr8bdhrj3ZgTCkSCtLP0fTtIMsFkGARYoyTJSCHdu9+szjSlboj\/HJLVW10WtpzNZRFi1ihqDu1ZS8m2nNN87Dm9O6KBh4LPpPiX9pCI9M0mtZdzabJ2pzYgZlYLJCvOGMYk3tkHH3yoT6IWHE5VLa0vCznNbR\/e6nvXh+174fFhu9UBVPKxOXbWFTcYDu2Zby31HDp0Z8f9yW5vl\/bu7T\/bw\/3XdtpzSBDrQT6hstX3ptw8zSFgTlzUTQSVEQFm7mAyOcRz+Quppc5krA5DuE82pPH2NpL6YNrqi5FGphBMhuwW4C0NdkkRMbloc2DQGArjicmE9BH5UI9gMnnQcJYVcYqjHGgYWuC3zOAZs5KBJvVf4AfaiXvwQDrug9YDAlec+xO4AR\/QvfAt4wbtoW4hRZXWzvx78KF01j\/tz+MYVcnhVldLO3OeS6oPJ89xXEffHuy4e3brpc4S2slaBW2ij+GgK7aN6EjWJHGoP5Mex+nAGY3ag+JYKg1YO5aq8HaemIzaGD5AGhjqAbUpmEyUcR1y4PeF4teRw6nt6QX+9Xz4bKFdwZxEzowU6RT0redY+8JkWIaknaMgWUsLXwKAcBolL9aUPmY4OkUOR5ya0LnDH4hbLzcSiakLYiZ6J6wH8AaOwNSeJvQuMAOdbI\/ojyafuqAkZgvB3BYQGw58Wu+7aVCfKF20YoPUjHUuPie3643N175vijozc4f0psHH1x7b1tarlRgTJNlXKEudy3Pk4eruFR8JtnLxkY7XfP\/+a80gx92TbR\/f62xeFL9skuQEt7vb17Y7NPbwjL9LZ+tbDnOu7Hl7tOOOz6BUdj482+e\/\/62dznvr9WlbdDGYsFNnUzVO+h8JDCkj9bYmksmXAYe+AEgn4ulTj0vL5MRIRbySdpy5AUgRtJ040pEnfaVlLgp6ubYzwGF63s\/UEf0MFiXKgFZ4F8DZMaxJUS7vOK14GfQ3Vx2XmuLJlD5Svvg2hZNmCpSR50G71CYxE4201MZpkKCLkqWGNhKfpEGGnqyN+H4xscvdA57DERRItGl8SIKnzET3pVuIeCZrFIDgKHSDd\/JLehGe6wgk+v6JdYu27+BMh\/Tru519CcUySP3KhmG+C5YsiUi0VPB0cguRL5WcNlhPD3xfPY0n9EK8w+REWwIPIy6yzwbnz1SGetTx5wzZx3SURTopfpFOiBByREiXp4HxnLDjEyEZ4UVwpR9xWJl8MxcNxpwIs0A8xlyrxgjpnibyEgGkDnELg1d+c7PWtMMzFITQN0Na73EGcVrfj\/uYREzogsiTz6d4OdQB\/qN7GJkUxrX8e2YV5jz3eoTb36xcV8PHu2KA0sYR6IzWD7QiVmZ3dl\/POTWPcuZ2xmN6c2s1p77Xr3xQah3MkYU7+\/zz39lu\/yh\/F4jAv4cz11GdfTm35tzpQ258uBC8cZbLabcXczkenm2GD4MYDQo9n22mjnfphf7knrrHM6\/+dB8QxHAdz\/vR1+A5+ptvcwM84538OVcCeYJvgpTKKR4g7jp9xIN7qhHPpRfLnCmJjzqRnnvoL\/IkRLlxD4xlpX6LugeINvmX8BCDBFMBg5F73o9nfBZGlk85rsKQfb\/ZpB7QQlvSuwadlKukT5JQgpY8lL8r7zmkm\/5EOmKzYsuxC5yLlCQMvvXl5xQ5o4F5cO4L3IL+EiMMZmIm1QVtDRpRPCIMy3p9zcJPRgRUv4zJeBzv0N\/T7wjOVBxo89SuSVdDKH784z\/7hiSDFSgy4nd0MKbquI+0kkC05ZxOBcne+WipVzLBVVpzaMZITIZ1Z8w645WdpDqcypclVGO+qOmiaF+aTWEy6OOZNb3jKVtMRtsJ5gqSvkR8eP\/ikOeSDkyGWUb6HMyL+nwoXL+3+azUDlUdelnQed5pgVDM9RA8B0bBWJix\/RjD2qoVX9SD2Va2x218tbTbDz+2I4zgfNKMxM5uPC0f7t\/a\/rTTqX5+5MNBbYCpNF2pb9jsDzAZDgUitNbqcxNH+digh6qqwh4fnvUtrFiLAyFxSdmXfb9VnZ0xnEgf8FI899HfEc\/9DMUlPxLzjTSA94czghjswWQiXTCAPC11i\/g8T0Kky\/MnkD7yi3d1TTRFnsRd5IPUFRNHNnmwjIv2u5TggwQmwiDU\/fgcWvHPxWiJ2vlhZXwIjXGnvNHiiflQ\/kxHfMAQJG0EQYvyMEX7CXONFLswGn4f7bQ\/aiLFEsQyHs90nWw4Ln086EiPNsztTrPOALBK+QcBRrpIkkzR+ZGrkti0qRcG4eM32knwd\/51TGb67fTCb67Fj370YzEZgEGJOCYrUAZ0kEDShncYlfJOhoms7ec\/\/7k24vHxMcHQ2WpeWZPSIRYyK8lPQk50l4QWhz7BRJCIqLSUd+Ir\/tsVl0hLKHT5XpAPAphK1GuzfqW8JyaTDrnSAVrsFXFCo0zttB5aMYol59GATHqL5UTvW9qjc0AYu1vZmg8Rw2w4Y5i8eb9nCdb5pkcsQeVqbW8+\/o60PQ\/vvpYEgtm6Oex07u9ZB1oh\/vKNGpdWUADCXJ62e53VwYl3MBDW3OxFQgmn62Gnuuy3Bz0jnvbQJ04srOjYjn85MITD9Btc0Tau\/H4JfLA4kP94nw5fUh9lkg73cY04cB5MRveZ9BLpr4PKuLrP8+aqPk1pyJeQP484fuchJJlrgMnoms3AwplOJZxwGIDDIOf+0E8yaIDHxFxQvKMjg7lgKZJUMu5onpTHAEyCMccynTNfYDv85sAzLIkszZU+1Yd5Fic5pB7GgpZBnMULH0r5Ug6B376c8njar3IZT0xeycFWo0p0IdIf6+Zx3E\/tBujDaAdX8E15xDtDmoQUxf\/wh3+q5RJAJXgRSSYH4gEQzj2ZAXQiosd688b+8A\/\/UCbZ+\/v7sZNdekChi0t12m+BjibbhhCEwnkynEbvTMYnmWAyqNBQCvraEIaDT0yTpB5XHJMH7Vgt77T0gPEEIXKvk+5mpZiMPHeTn8yqmicdwyBpQVgWUhMCMZHOfflIWcvVrRMv\/ji0h3Yg2uOhzBlVndkZwlusbf36zuazub37+is77Z7kjHfma5BIJOhnEpM5HTnkC3G2tOetf++nG9x0fdbH4P38VJgJsx7ER5vR9fz+88\/HzqTvCN7ZKHrlLDM+p\/7R+YT\/FkQ\/A+AxgOPBeEYIeoi+jCtxogHuS19y58+v7\/PfvJtfr9NdB8qJ\/NU3L+lhIi8tYRyIC0jamRE3gUsmVi2LXmQyEgoYGPKX4DwgMRcpogn+hUZthm33oqcYnCMjSAwDb+2Hx3vlDX3MzCce8qMM70r0RNMeOSR7MRnl531OIJ2X4yHaBHCVy0cmyQQTdSlmwsEUaKS\/H3QGfnkGAw0IhoNekvjgK8UPfvAjSTJ0BBno5T5JLgl4pms67yXvNAZXx3o07VWJHc6ExWyuRjAgw8dF1oXkXBedrM5njxJMUOcCM6CTnwNObUlawZTsoiwDxrXrzBaYEFkS4XbN4U\/BZFgSsVzDqa6acQCQyY9mqboMOtZhxloWcRUG07NNwBW9KJc5lhBEvnnzRl6ttKmuNm6C5WhKzV7qG9WlOfXSr7RIZIuVnxpfLmz7dO9emee9nZBkzmc79UgwLIHwe+Eb177bdbtld7Z\/AvXU9HIV167rlo1rKAA761uc7FpbLub2+PSofgOX1BUC8I52xhKEQnykiWe0h\/t8sOVAPgF5Gs4H4zch+jqC+jJdY6Dj\/xK\/rwd\/0F7+LiD92hWzyBlV\/o76OuVNmsiT+vH8op7fwmTwnQrcAIGjXJKJZ4LWl1Guw5U1wpdcOuvZcSPm0Jkfy6G9ZZz+j\/7Pz\/eRmz8SS9q1\/\/hwrysWJX3SBobCsg2GoP1DrOphIEnZq++6O7Np22SSF5NJkqzSXEpOXGEyTN4wGTGaFK92ZMuleC9fLl1DSNG0DfwCMJlgOIB0MmQUnQBgXYrOUaJEUJwzq3hjS0EjPxP0HAwAuDmzK9wc0ZFlFOZipddxCbW2qFPWfMG3XWgIjYDYXYHKgGe9mZdZcaRChbTk58dgkUEKQVHrjGWps005JxdiW67ZDoAHMcpdCBsHPRgaJ\/ZhhUjSTPKvqfpSu1Ox3rBMkwdqVdp2zyzS293trc7vkJgN4cgy4rgZ0Y72nk+xzGrX5jMQqjqt1U2mSDab6SwPpJHmJMXu8dDa8YAI3dt+v9Uy6oiXprYKQGx+jKlMlG3vhztnOiKsSromvwbigbiHSAjghTgthRNec4jPvMo3BgLTHjyGo3vnchc6Ne6jT3mNrIJ2UP6De\/LIBz3p8wCdKH3axxNMIZ4zWLkSF0wjfjNxID3Ge8THhBX5Rlri8t8AdBbWNE1saYCd0SOwTCceTUlyQOOk5\/jcsQZ5Qh3MBHTrKtukH4OKdAtidPgTehY8a\/UBOszRfEoE66FLyVhRj6et7qWT0T40lxSQbuIevSf3BLgaTncgnomd55i8OSjc+5y46Puk3M0YjO75j1d6kkgvnqmdLrFFHL\/Bn8rKJq48Tfy+fheQdSl+REfAuOiYqICuhJHJQAwMShCNLwokyAautR\/NiOcu57PM8UW5nKkgBInxyjikksRkskqSnnJZ\/\/NJBpz7gPFcXfYq6fDklT5axT3fvF5tltpKwE5rvH1hJoua38yopu8mucSCSrm3dcVH6\/2LBuxtkvDIl\/JaJ+I7vgoJW9XSqLBOg2tiyAE+H9DxDEYfcCh1Ucuxr0jrcrx1ITTtM4JiK3v\/7knEyR6U4\/lg+xNf5WP2gSlAfJ4WhaG7jSfCSowHvYunTzhNYiu\/837lnjqA0+jXADcmO+TvhG4spwPu3LSddGZJSe++VeB5cqQLRnDBJNCLpTSipCRtytQdeM08hnMmQ+Be72aSEmmIG\/MdmYzXk99jC6PtYjJc6Tw\/7lTqbJbrKFaTmXgo5jrvRzM8YTRbhwXWJ12UnUikvdwnXN\/Fshecw9zLhr1Fp7EPec713OwSk3F3\/ui7\/J5yot9hLEhCKPbFTIiXbiY9H6UPv9cyMGMAutfuGWcW0beRJt7lmod49i+F63wiyE+GGzIOgkI3wDIkKhDxxi7RxGS+853vSmHJqVs65kKSzFKetKxLZJLWx7ydOEQszDjJeckr4rMFa3b\/plEwGR\/IFFlyrk1y1HJA6jJZgWKJxMYy8sdHZ7Xyj2DBWPD6RdJik+NiTpvM5hxPcTqK+TBrvb55JQJ30yE+NrS3tHp1q\/zIF5CLO2Khvv39TSaDRQqmwnLRZxI+4M55vk5MNIujNU\/oYfj8hPQ\/te137lx1OPoB4TusSom4QpJh\/c06nOc5EbpPjK+\/Ae+7ydpEOgZiMJfYTRz9GhDergDvaayJAXi\/5wGg7WIu2tzo9z6Y\/cxZcEadgkFwDTogj1GSST5IxPM7GAhpIj1xOTOJtPkz4iNfrsRx9Xp6fmqXU49LoPxOywYNBI+VOMdSQxYbJAeW\/JJaKdO\/D03KgUNnk+THZEsZWs7K8sMRqSxvnaFIx3Z6kiTqfepWIXCEgyR0F0wmmIWevXSvz9tMY4g4heQfRaAucS+mmAa7fqd2h1Egxw0Q6SJtBH6Dy0gTcXmaeBZ5RhpZl4icAmvNqbMBGugdmGYIPmc5x1znp8Xhfs5ySKIiruKaWbzzCbwfs4y4erQpWZKQAyipSvEQ7O3tnRC53z3LY5d1PXlA1PrWkXxykhWpWsm8TJ2wIq3XKx3bsOKQKZYLknhcusGCxEyls2JgRnP\/JjVlOWH7wFhsbkdCDlwQWLoQz30gFmCJxaAHJ04sfKtokBVJ53EUZndvPrCHx2f7+t07e356tL6DGVf2+HRvu92jGNUBb96O5dNe+VAv959IjljZLIc+jioEAUanvtT5APfRjrinf9rjtKeJuADt10oDlTyjL4UTMRdnMt4n0MbEVMiH9wgwHuIDl3EfeUc9HP\/uocuVZ8STdnx2xZTid7wf+XGNdyJO+MlwAnMFv+73xLGqpTajMgm4IhdGyg56pLa5DT177\/x4BknrolrHOfnQPzAN9BTKF2Y1mCyu5wMSqy+Jgt54DyUvwDuA9\/ekII7Ab8o6o5pI+4qif9WcPulksn4nIMnk8fRfHGsREM+j75UmPY\/3IkT6CDlEGvLJ0xR\/+qc\/EZMBuDqTmURergBXMqDTYDLM2AwkpBNc6uU2Ph6y4x+b5\/An0oO4KIMGsjlLkDEZFzhTdDaAxWAgZg6LEiE5k2EpBIHBWJaLjUy61Gk9r2y+wH+l0rvU+\/aGZ8xWPnD4Ti9l6MykJJqz1OIwIfLQUpCBkg2CCCDNlwbJHJhABnbtG\/LlilsFOM1u64QqB7+5ttVjQXr\/7q0+gkWez89Pttvfa+m536IA7nWMJ0zKPUCd8IKweC4i1EFLE1EQcoYD5HXkPm8LoGvmTxP97ZAcH1PfB5PxgZsU84nBcL1mMsEEfHK4lEq4hscuIX8WCl\/iI63iM2Yy5pG9G78pO\/IlHUAceLGBwY0ZEMNBKQaD9zYmXeGP8TerbeArGDATnAO1\/EX6QpKpXcmbTo8MfxUmAZc0\/YhUZxa+9Oas5ea4VV\/Sh\/RdMBneAa6ZTDyPvnQmg\/3aJRiMB67kdetQz5nRLzAZKXYzegha0bBLAG6Ii3SkCYh4IL\/meQLc57\/zNFL8RiFcGTxtxmSiMykYiUAdqF2vLAvcCjBgPZBVqdInMv0AHojF8wWx5Me9FHfaZ3PFZPDy9NhUj1S2Hz8iy5DczkVgbJd3gtMSaXmj2RI2tVkiH3Lc4ULWo9u7ja3w+K3omKMO3NYXIEEA+qAFTGllKz7ryabL0r9ZwzeDhbgkfrJ20zXVT+1J9QUGibsgFjoIJkOn9HZsejt1re3Pg87uxZzPAeCHg+\/Y3e1gMu+lB9g+bZO47SedOdEhvfjySWWFiTIxsiAK4vPOJeQQvykT3EX+c5CbIAYl4Ep5pwPgJSbD7C+\/ITqK\/TdJ8uAdpMxrBsPySJtPySNz\/4\/npKU+Xsb0LM+Dd5XPtzAiyo4+InhbEj66gw3twXo2lMKsk64Mu1ODrxJbT\/DUhgFxwqIIkDyhoTX78LXdI5Y8p+Ygd3+XNA9y\/3erYSx1XZfW6LPBHhdMJJ4Bceohzwg8i77kXkwGh1FZjFySIV59jmSDqT2lz9vL8j7oAdBzxrqmXP8d+QTe+A1wT3w8z0OUExA1X9vqAAAgAElEQVRlEHiP35Gm+Mmf\/bkW4RC2VuIUJLOgLyNgKMzyNIrlkHvXTuZEvvnSpe8hiQiSx22864f4MMP72bN85pXpXJ0\/SixJyhh35Do4wUA4EBSnnuHj4sTOPcsidCV3klQgYOrTaE\/TZrOym83GNuuFLEN42+63z1pWwaw4ooEOLtdr29zcyOMYAUvex\/g4oLuWgxY4iRqBG+qckM8hQtoIB3Ld+Q1ikTQoQsHnv7HDqbVjy27X2nYn33NE3licdvutHLE4+wPPYE4540gHxHqsCFiawOU5ffdG46T1GU\/WD\/lCeAdHx7I8CwCfvEefuNuVQzAs+pvPwecQxMa7+TUC\/UL95R4iXYxLM7kkQxrKhNGw7OBb1rRjpBMFNz0HY\/B8S1kTufKbEGniGvcEnR4nRoQCGaaS6inGUOo7VFgozwdwSds4ZP1Z369i0PrXPn0TEdJJvdrY6uaVlYu1jtkwfb4EmsfIAZ7cCH7WUvbsZwI16ehTGAi+UEnBS18QR0DyAOcE9WdiOEwskYZ4Av3FNfo1fqNDnLeNffT6jb3\/mm8mnaxhbKEPQsp6gQlwDSYBXvRcp\/\/xFIMNZbzMRCI9k5xSZ88dUn5SJGth5nlj7sjSFT\/5yV9cLJcAlEscVQDA1FDiUgyBjoUAgpDkJ5NO8+IZEgWZ0zDtgeLkDSmrWiuZGemm1ok\/iAWAyWG+jniuBPFcdluTVg50PgvPaz7lOVd+K47wtF5XNhZyxCaOaps1EgrOdr2OVvDjNGtZjJ63z96GmzttqJOJPZUrQq79iENJdvKuTAwnbX9Q0J5Bn\/kbfXXPZydARIK4zJEO6Gba0s5dYe3AR+99GfTARskdWwP8WzeYtvmKH0564DAIj+82EZBmcibj5v5ppoEwRJgZk6FPec6A58uAeXyEb2MyhOgHAhD4CRN2zmRQjMbgJ01IMm8++ECDinfJM54HkyGQTvHMPRwrkvoimFKUG1eCLISYDJVf2oGvucvrDm5KvgvGOT5PfP6DvTx7++rL32tAoPe63dy4o2dbWjVf2Prujd29+VhfYoRaOQZVekZJe0zGjAkGLoyCpRFe166ch7mwyZa2BpMJZoK\/E1fi6dOI91MNJ+mGK\/2VMweuwWSG5mh3q41cIZjQ8O9pdEbz5X7DPEQ+4IQr0q97ivgEnzOFPET6b2My+b3obnw+MS2g+PFPf3W1XAKRvmEPPwwsRiCVXdhs5vKZng\/Tx6BEknHv2iAeQES959MKKHXbdLau78NYJKe+qJwqwookSTJRDz8cysVjlkewnJHJzPmI1VwKXBgQ4urdZm13rz+02w2f5qzlrIbznaSK40GSze3d3TgYN+uNlZxPzCHe6HCSYtlF+WTuFZObBu3h4OIqIXba8lyfkjg1UibLrCzrT2M7ToXH4W+Y2fHkfhfgert7svt7jnvgqwU44HFmSKNDoxC3SUO9FGAy2pPyTSbDIA+CjHZdMxm1D18ZHb0xQeD5mskAxNMXeYj03u++XAI1oZPhczH0DYH0wWRev3qlQca7ohEYSyaNBNOIgJuBl+Fm6WAyYFz3oo2QbHiW8kAnSx3jnF0+Bn96Njvztc2ttgH8wz9+JsvP3d0rO+BIhpJ\/ybEefNeosuX6xm7v3thyw3lAC6uWr2Sah8n40nSQqZoJ4cz+ovQRelmIUNAnvQvMhD7hngA9jPcZk4Fu+R0MhnDRlxmTYSLVhNf6edh6X6pdP4YlBna8B+S\/wQ3jUfQhhx\/S4xPk1sj8\/ehrfn8bk3HFdvzmGmkmhgMUP\/zJ9JnaAPks8DXDcyMTsU5Jp5PTDms6lIZLEkB3gVUnibw8D0BPISYj8xc+Km7hOe\/3knjgxLzHO8FkomFcRTg6mWuw9YpvHHUyQUN4iwXWJRzr3NJE\/h9\/+KFtbt7Ycj6XiVtmZ21AO6tT+FB6IJwBoK8SLDZiZlr5SZnsH4WzmuMz58ma5MdV8GG27oRpGlM3YjOE7wP0eIYQOld2Jxw8Pj7Y89OTlmF4bPLZ2f3Bieywe7TDgWWSHy8Ru2\/P2mLgEtFIaP8\/a2\/2LFtynfdlVZ0azniHbqAbJAEOAEmg0QTBURSpgQhaYiiC\/l\/1qAjbCvvZD5bDDodDsiXYIiWwpzueqepUleP3fevbO6vuuc1GhNe9eWrv3DnnypUrV65c2fa62cCC5FudLSMsbcaMTFjc0LFazrnD+37tiYwHbRETOLKO6MSlTwmb57xrWSJdJfChjERNIP7jkY645Yl\/RSA6eQrxCJv0g1vREMY\/32lr8FDf6xtlUVo62e8JS5ZZuPGT2XR93bbrN+3Niy\/bi5cv2nY2a7\/4xQsRw29\/++O2RtWAKRClwOVF29BuO0y12prhRx99p51fPKljNtSd3VEmAZa06LfQVzbQHTvL0uAueUkIigjObjcIhPmWZ5ZLITjpx\/RlCA4gAgUhalvMYVmZDgLEljsTHlfpdMQFCP7gej\/qyM2mbNXTb3B3tD1x+zT4td\/420N\/ZIGykgb1oH96mPzBn\/zl\/vWbN7aKViAdklK4o3wYQ0Yesz\/iVvS8mItdHZEvsyLHyTeDYWob9W7tfIks5GZAWNJQxbSTYT+AX\/KBu0BAfLY6bfstV8QiqIXQQAwhMicyMXh6tmoff+sDXSsSIgOxvH77WoLf81OOHCzVMUL8IjKTOUSGurJThgKhCQ333sDN0clCaGym3t3r4vEQGa9rPcPeb1xPEPHq6lIEhwOjb26udRSAdCAy6405lbvr1+1WshjPhiAocTDhKYRj1yNCu5p4IPpaSu2s7PV1RIYyuTyPE5m0v\/pA184ctj0uA5lf+iL+HuQmMuPOEu1mzoWzXhDoCHnPOpkd8fPseKRdy28RH26miL8FyS4D3I8nM7V97XSirTwTu+\/JQGWcbtsUdf3b1+3+7Zv26sWL9vmXL9tutmz3m9Yur5637\/7Gb0pV4+Xb63Zzd9\/Onn6kYxzIwUjj7Pysffzxd9pyxZEZL5GQpYXIbO+vtUxCsdIKk\/Tbuq3ryAD9YSIDh2sNXfqM7Wy+mchwuNFb38dEhn4PkeGX+kpOBz7Sxw+MGUxFSBLSMCYQAiEcqH5MWoDSCJEp86zHROYx5+jvIzLGO\/qEcpJ+RAiByW\/\/+E\/3mq27HYYn5+dqSOQUUGATmZO2k9asiYzY3UIWNCKDhGQI0BDTYsMQqrF8mU9P2scffav9\/Of\/l5ARqgOvQUOA33AQpMELRE\/56CjCrp2frixdh3thtpSgzxq8IPPl5Vl7oiMA5zpRDZHR8mO7aWenq3Z+eq58OINEmUVkkB9NV7ZZIlvf2BFmdubyuSdeIuqqGAYXnAwXknOZmq+axQIeRIYuWz940IBQlJu8rm9ufHwAhMIu79263d9wjsVnpTh1K1mMlLE862H4CIQLgglBGJirpbdC+baxzKcnMoQLMmEGVD9HRIZZM6DBWG7R2WhO\/+Ud5MmAB\/Kc5VIIDL+YNoUoqH9qmSOCruMdIzdj4sOyyX2f\/uAXB5EhD7aYwTeXYSQyzt913D3ctamuWjUnDK4weGbbu7a\/fdPur6\/by6\/etM123h72i3a72bYPvv0dXT9z\/9Da5y9f6+7x+yl3Ic01mbHcZbL5+KOPG+I+9wtEgJ1SjoJwEyP2fLw82mzvhWviZHY2+k29TGTMycCF8BuZDDihPi6ZzHGf85z3vh9JhyMLUqBEqC9OhjE2EpkAz7jgRXAEIgOOqJ1OwFkTmeM4eWaj43Eisy4NeRN80ZDJpN1cj3pXwORHP\/7zd26Q\/O53f729ffNGh\/WopLaHyefMV1+gk0I4CgaBOlnZtOX61oelfL0ERqvQLGSXaK5fzfqTbZvMPFtYrRtZDchM3i5UEJkwDGYIio8J6Myh7kXCTIM0eQs5uczq6uqqXazwQwXZa1mICmGs67BvpzL+jcGq4oLmLAenbakrbBnQ7Da0dnb1UVusTtsDnVYGiOAkWmnkkrZlJJ5hpCNaKv7UA2ID8aBNIEogHMtDIdlm0+7qGdshqHjzfc0yKsgFQmSXAdnLCaY1kcW4r0AQmaZ4ByFKJ5W1tk\/vWbwn2dhIcNTftHMNYLe123wA+ko0399CcGQGU7drsqxGJuadPS1fOZwKMUEbewFng34JxGahtOAMzP2Ql9OmWCvpOdncx7yt2pzl8By70vixXDfB0iV8CPek69Ta9duX7ezUEx9cBZMKS7gdl9ytr9vmBnMJM1kYnMyX7cmH39I1Nevtrn3+4lX7u8+\/aK\/evmkn599ql08\/aE+uLmS5kPr85ve+K5UGcPD1WzgXBPDeVZIsRocdwQUOsq6l0UtfQTBCYPhVP6+tyhG8MLHhhP2tBbjFBQS3aBcTtphQKFzr+hrgnSMGqA8QF8g3P0NE7tV2pEV4gLUK6dNulIdJARkLu5UJl7yC\/2CSOJciLNrYUF6yxzLIYtqejZiE341EhszCWcggNlRuBkfg3SJp8556W1vGm4r1xTq\/LO3f3UsAq8NgZASrv7XVfuLMpmSMZJetJQsBITKoyYTICHkKKA\/EAQ6CLWl2ABD+LqT5i\/GpmiWXSxE9finX6Xxi2zBFrJ48eaK0ciiNPE4xhqUBhgV8z7wYHZ\/rnijfMLl6+qFOdLMTJH3kyVT2XSa3JYytBh7cDHYYwgNicWwAJILIYCfELLVuGdDzpt1ygK5muJ7IwG6TPh1MZ\/OsZQ5cxo5rgZ0fXIAMSHdbnXFwkdiA1TGCIhqEyTOgcEU0eiID0RmAE\/HdHeM9kUEQ6jZEtcCCXHb8wsnkl36h72l3LvKTLaDajaJvAfp\/eXoqDgdWm\/vD50smMZtR5fCrjJrtIoznJLoNOTEZfvjhM08kuuzMSnZwnLevv2r7NaftV+3u\/qFdPHvedpPTttmetNfX1+36ftNe39y1l29et7u2aKtzuOCFtMwvz1btu7\/2q4MwWYdWOYemZZE5j\/QPjncTDi99QmTwE5EpPxOZ\/BpfIp\/p+xCXPID0cd\/XpJ9nFD7Bt76Ps5TnO0B6xGdw0ObEZxyTP2MHrpolEERLeWlbmuDBCfK3kSzlWxsRJjLjeDCRcXjcQGSChDh2Q\/gFUeBiQCwEvA+1DGBQA\/jzrt0YEBBiIAkcmZnIUCch5lB5DqNZpgGRkUiviAzIBwjZ47j7CARGq1iq3whtT9qq2G+QC0ICQsO1zCcIX73NzHfKyi9LIpSvtI0tJUEfhIMboKFZIs1FsFZtgjB5xfWyK2170h7SRVhv2un+bEAu1aYaFj0W\/PgWhNIa\/e6NOvEA6R62UsyjU0FeERkhHWmYGNIfyQciozbmsN6GM0h1gA+DRDFqVOXAySJyzUS0Yfx7BMy7+qFzfRjanPf4JbzvzcLIe2nnSn8J3SMTmRCYONlSluKd5V0xGJ600TTi\/iqIjDgZ7quSbIx8GWxu28XMu2lwnNQd\/QoE4b\/5g+9rxwRuGq4Sv7P5tK1fvWyb2wfdukmbL8\/P299\/easbIL58+UqnpK9v70U42nLV3t7eiDMH3xh04NX5k3NxxkwGHC\/gyIEIguQ0I5Ghf+lnzKK6\/+Fe88uuEjhgP3FC1d\/b3XRYOtEn6YOh72u5RF+6n+k79x\/fAzJJUQSJb4GMg+BfcCUn7ukHOBiWgfQNfn2eCjsIcouDri1vzsrotxRceJYuVkdkQJ3JJ5\/+xT4VGKB2kagwhQBRGAyzOvzGNwUrKigNzkIWEA5xN4PAhnVccYBCIHfZi7XyKVhZqROCm9CEQxLyiXjBtcx02b2s7bEcQjakU9+rdnFx3s7PObfkw3mz\/UZmHkif5RNpUGYqTCNycJJtb2ZBafxmKfKwb6uLs7ZiW5uOXs7a6vS83d5znSf1oQMm7WR7qPQUR8eAXHTkQGR0EBK5y6iIFSKDWc6E8XqeuD70GGQIoomgCLNQbqxdgCIyWl93Mx0Oe7A1xagdA4RJ2ypc2vlkJCRuK890YAj+QXzaUu2ps0gzGdCi71CwFCdzwmn58ZxSiM2Kq1a1E0k\/UzSXAzkT\/YhOE9ScMMy8ujtit28XF5zin7WXL79sb9+8bB88u9Ay5lxCfR8t4bI4NKrPuERvR\/kXOo7B8ZLJetNuX7\/VGIBIIEF49ZY7rrhk\/rbd3N202XwmwnF2edU+f\/FSN0dcXjxpTz94JhWHxeqJ7sDibixGSDiZ\/dr9xDP9lL7lVDXEhCUQ\/plgID4Jd30NIardot14SRzQ41Pfp3F1qkDf02dATD3gl3gAz5I9lua9CBOodJR2IO8pD8AEh9Ihd8\/DkcPhUteTSS2LNJ4Z546zG+xRMeZmbfLj3\/sn7xAZbscLQgW5tM3LKevOj18KrbDWKNHshjV31qYMBJAKJKUgUExmNPQVqMj7iIyRGgKH4zYChMzeqj47nYvIwDHReMhicCB0OBkYIpCbHQJZtgPBZfeE094TESHLLFAYtGFhnSI\/O2uzU0w\/sDTzuSzKuhHR9MA8eY\/SE8vEYyLD851mOG91ctyAbfANSyUJER2GX8VFzsPGQREZnJ6PiIy+cYJd9\/IcEhn1IzNz+WdCAPhOn+H6Z4gMwLOXqPh7R4XnYyLDcYCPPvq43bx9K2KEWj5cCLpQITK0OTuDECA4A\/odzoSdJ5APoTHtfrZY+Q4gjKnLHu60Xe827fmzD9uTJ08ZTu3N9QtdYnchpcvWLs5WuqYG\/RQkvtiCWS5O2\/n5Zbu94RaJC9+u+Oplu339Ru2NktZkgWzltZeua3SRtu3pM+Lcti9fv9a5Mia1J8+etasnz8XZ7qaXUsZD9nmvg6ru5909Gt++PI\/0kcloWfTA8YG7dnd7V35ckYM+jHFC3E7p0OBuNyP3gn\/wqScy+RUK1AB23+hRALElnTGsHWMKSJrg0zGRCfTxeiEvmy+UD8II4zASmVxnbc1hExnij0QGN\/n0J\/9UROYgsyIyFDpIijEojICnEAxiF2Zny\/0go9XTwHh9w5oK9yIhwcZeCmwWRxRQ+eb7+4hMT8iQ6bC8kTmIGbMe6\/wTXbJmTuZCxCWczFLC5o2NTdWlW6R5MmV5pNaVgp7qvH0Q54LcZYri1em5zFOgP3E+dR04fasbA2QalTt+3lV6ktMW57hLYMKxlSyA5xAUISJhyraMjg0Qb82stm2bI8vyITLqHbiYnZes+FGX4FmPlLknCuC9B9oVh3+ezcmMXE\/8GXD6Xv0BPvCMLhftrfvGuQHz7XVbrZYyHM8Vv+wk8V0Ozhd8EZFBGckstIx9sxyfL9pXn33eJptte3ZxJXnAejFp3\/veb7X13U7C393+Tkux2XYiXIAjvThdyYAZ3NBOQnuOmVzpPip2\/b748ou2vuGM0qbd397oYsDVJRfW76RjAqGByIBT3Bl9c79p28lJW55etNOzi7Y4PW8btok5IiOFtX270xa1+3h352MlbHmrfyOT2UJkvKMYLkZ9Iwt5d9oh5D398lD9jSNd4VJHZHpHr7JkBvo09C4u7lC4y3cm556okY\/6cjgSYOfwI0FKGoBuQ5ig\/MrNltdHRKbitCzdbCdJ8rwQmR9\/8uciMmTM75JOk7AEasQ+xVSSfzR\/+e5CYaiKQqIRjDkFBK0exMg5iEl6zMyYYWB36e7ubdvtb6QRC5JZxwTELf2J2hINkYFwUBF0XMyFTNpqiWkGZCvbdsbZpAsOP67kQOgLdr22eyn9XV7BPtvOKGXk0vKwdOy0oQiHPZqz1XNtk5I\/SK9mIb8c4qwjAnSQB9t4EC1tRptEYEu4EBURk\/tOtbzzR4jcdzxtJSJTtoVJM98Q4BoPQjoy6+BfCCgjWHW6Fi3gCkoZA4SjnSAWtC3fcBgGM9foicVpW58IUJhON4r7q+gruJTIteAO4VaIA\/GBw+FeKmQ1sx1tZ1UE2jpb2CyDifOL\/\/pfdFXM06sr71RefdB+9ePvSM7CDhWzLrt\/0weORbj\/GkitA7aWVaFftNtxju2Zbn948\/Ylq\/729vqNtKkxesaMrIOQa\/AXYbWVLdFsf9hvtZM45S7qUxTzuO0SI2WopIzby\/yKGGBmVYSlOFYICkdCRGBs3RCCkn6EmUJWRP+H4yBvXYHzAF5YyxtOQZwr33VRH46x5jGDkN5+xj8AfOXEOH6kwW9A\/VNEhHLjZPWwLnRLHAcmLESKvMiTkQzOY0PJnBJhSYN4vPfAtziXD99Jm3zyCYJfIzGIxvoLBUdxG2hZ0hmLU9voHRIJkbGdGbYIaRitPMpsAwDLBRGhUpjo3O3vpfBG4\/REBgSG28nyiN8ownH+SKSObU7JY0xkzi\/OByJzfurtT8xsPtxtpAz37NkTCVYpJ7Pms6dPla\/apbbbWNKdza90gA\/BtgazdE\/A4bGjaDDKYiIDgowdmU4KkdE2p4iJO3RbW5c8M9vxjXD3WM2ry83JF+W7rycyRqgBsYrI6MwXHSrM8G7d1xEZEfQijvzi4HwG4Xt9Z5kJ4SUcjj7kVk3wg10twrLDh4yL\/mE5AFdBueBOn1xc6FI90lqhcFnISXHO6K\/5iSYFMPrlV1\/Ivs6vf+97EtSvnn+ozYMlBIZlAcR1u267TZ03KzkbAxv9LV0WSN23+\/byy6\/a\/fVte\/b8sp0s0ORd6pZOdgfPnj6REPl0dab2VJs\/IICnv+61DOTWT5SluMOR+67RsRUhKm6DPlNf3nDWzBMHdc4y6Bb9p9qSxp+ByBmp27tR45fy06YmMss6wW0THyEyjA9kdMY1cxn48Rt1\/vQtXS7Lfj3BKBzBSD6\/ceCUJqta\/scpvHaNatIqAuOJbdw90rdHIGnkO7\/BL+0u4aFBWqYxYQ9FZFDUWp7qEJoU1orNPiYy27ULCGKgLBtOhgZy5v41kek5GShzTAGw3vfyjI4Jlby6uhAiHnAy+90g8D1brXTITQMDFnC7b8+fP5M8JrsTJAXCaxZWPpP25Olle\/nyq7bfmLBZeOR1BuN5tx4F1kCIDDoDPLsd3Og41sQiKkecDOIRCfiGZRTLJbaqRwEvDoRj14i2D4KGyGh9XNu9AecNEobI+LzO1xEZ4uTdBNNIoOVo+fNLO3kwcyuiy82743OJnc\/OoLNiU8ku8\/z0QulenJ2LgLDbg2CaFbcHlq\/\/hZuibhdnp+3Nq9cS6nLO7Dsff1vGyiZzc50QGGRm9B1LmvubL9qce7MmWDfctqdPn7fT88vWlidtybJ7v23\/z7\/\/P9v\/\/R\/+fXt2ddZ+7Td+tc1XZ+0e+0enl226PG3LFbpeXI6HSgF1Q5gKOaFuxnkZ7YYIoRu1s2oB9Utb8MuRGWsAu68hLPwyUYSYQFxoM+KgaSz7voVH6fOeyPDNRGajowwyr6qbCnxqWjRjOMPWERlosIiPcSn+4D5b\/YQN8E3pyBbRSGCATLxKR3sH\/saSK\/XgG\/hBHShvAP+kRx4pB+N48sMf\/7lSkkchHtJ36TQsfEe1LqhngFWBQQB0StjvD5GBO7BMpmQfhdRQQChhh+teWhFahqdtihGdC+0YdLtaqgxby8VWTyfeXSIFZkNMNFydX0iXh7BoQqKxGd0Yth4hhhAoWHs\/Y3vXdoJh+c\/mp2qQmNVEexK5wHRrOZM7ZeyQHRd1dVt8nm0ssO2RkF8j16jBm7Uxz9oar45xOma5IQ7xN9J5NuuJTL6DFHY6HCUio7U2aUAsqx9SjwDPQfT80n78hsCr\/RbWkgb47lmOLXKb08BmD1ualIzl0unFU8XjuAbnlZhi2XWa1DW1EBfwhV9PKJjE2LaH9Z2IEufTVCZ0q3TMYi2LdbI1vMNm7gulw53RlO3s\/EJytyX3rj\/ct8\/\/639pX332mXYMOTy7OFu18yfP28nZ0zZZnLfp4lyiSSucsYyF+BexRyDK6WoGGFd66M4t+tUcJuVKn9KfaHCLc9FdWPbriQzfeKf9+AYnw0aD0h92DrdtO2XJhsXDTDiWwW11O2jNxPuRe45z\/9c4o79ZCHbGviviweZAcFmaRttwlsaNpEsaebdcxZD8+nx7nFL4Dvqwkx9++heaAhnwDEYy4aQwgrIThLQsn7Tu5XqSkcggiKVq7OzsNigr+TIqtjFHIkNJOLdRiDpjFkIxjgvkTGQwD0CeEBnuQ3qMyPDMeSrOF4XIYK4BDuvp5VVbIiNQGjNtO0JkQGDOM3kJMNHlccTz+tcIDDd0ocOdvg+KnSCIjA6ObceZPjMHjpsAmZ11Q2MJ2YQwMt8wEhee0WG5g2MBKfEDCcOdsE1b6SY8Sy2WFekw0lUeashDIuNfs7fqyOJkJHjn6H9xjwB1oH0Ceea72lv3A1k2xuyb9udkL33EN2Rk+AlxZRQMjoBrXtbiGFmyIuQlzdPlqYgQAOe4PLfWNcSFZZKITAk8mTJRsvSV81rBS6kTdQVsQE+wZAdu7WxYKnXhmhqE\/ne3XN37WkqOPl19KQVRjI5xZQ3G79sUZ9MN4Rhl8KtU8RHQgxPo3bhfvUTlFovpwssyysydYgORKQchcRolc3vgfJnlM9iQoU15f3tjfEifko4InUx\/IOMwMTCRoXxMZrAv4CDEw2UNMSJs+jdEJvjYD\/4sl0Zcpl0dKWkkHVpfy8jShdEsoZUAnIzxhWfqybPxwTCmcUhggMkPf\/JP9EQBiKQCYhcEhJCQkPW0FcAW0fSr5RIzDEQG4SaDFyID+3xMZCbc9ohBZtEaOCb9LcJmoqKdikeIDDosmfVYMp+uvAW6WsLJXLarMzgZZtStiM3Z5WV78sT2edGzQK4Ah4RBcgY7zwwOiA+D9AztVREZcyhSmoY3XY+cDIhJZRjsEJl0Mr8iGFouMWNl3Z51\/LatuTun43CCYP0aGn9mPspkzihEJISs42S0y+V48NB+3vkkNQPwiJNRf1b\/0q56Z6aqtTmDZ75YKX\/amzhpf9T5xTkUJ4s\/zyGQvg3Cy1x0V6bUbYMtolOrNMDJcGr+aik8Ia840rp++1a7gGhYbxCWysD7rFe+GqcAACAASURBVJ1ijJ7Bsb2XHSKUOhH+TttSCoJXT841wTFZ3b59015\/8VlbrM7b6vKyffjRr7QbTkJTRnHJ1AkhJwOInScfPqVNfaWMiTw3PJpTY4BbnWC3sYkNEaayTBiNbnGlcLDVX7pali3q0pGJIp77neWxt51zVCQ4cr9lbIFD3p0xEaFv5tq9Ytqgrf4hIsNyHVwhbDfepflNvUy+DRBQIjndEZeRj1JG6cIg\/hAnY3+AcCZSRTx6YtZBXz7CaAtbaxkG8sIHIndI2OEiYHHZQWBNiDV+neL1AIDIiMqBSM22XtTxWPyn0AhXkeVUxlpfV+UhMlQQF+TNIACJeWY7OkjvXQu0frFRgo1Vz5bPn\/5auzh\/0qbtprXJpp20i3bxrct2dnWpHQfdZDBnIE3bcrpvuxsuL9+2OQ0PNzJrbYH2LyWXXkguUacjyNsNe9ip7kyeQzT4zj3GKNnhx31L0q2BOGxGDidhIWJIAfI+fsOIEYPKSMX63FwfJ6V9Gl1FYMBYZa0UHguJRBQxOlZGsLtlkdvRil8MLOQtyDcQsINEhE29hr5BaM+twjPrz0DoOR8kI+z0TeNsWC1xENoXpwGxB38gMtT94vSsPXn6VPgldQMmBYxib\/btw4+\/1c4uztsLbtl8\/UbE5fzpom3v1o29vh1nxW7u2nI2aRdLjh9gF+ehvbl9o7JtsCy33beziw\/b6uxDL4uwL6SL2TyIMGGsZbDmChOR9Al4AAdp7mXsT37lNieDli4TAFyJ8GA2FdeScPhzHg0\/ZC8QJPJIPmiEi5utnZnkg6InyoMhdiaGmGglzeIYpnCaVg244UrjyhMgDS0nG3gDEbLAmKMYwta6DVZ5FR5o3MrCY8dtMP5Kv4WxhzE1cAs8oP5MNsQbtH3F0Xp84FwOEx0mS8nUiihNfvyTf66tG1E3EJOZ6fRMW4cI3HQWqYiMqO2wTuPXBfTGYPkxqx4TGQrCTpOD\/5JExlbyTWTq8GNj2XTavvXBd9tqcdG2Dy8lVH5y\/mE7ff6kffjRd8q2CUshKTC388WkPYAEr99IbwMiiaId3BPpQVw0e5Xgd78ble5AjDxLMFedFeIgt9\/WjhHsOLZ83fA7mdsshK7OOCYySYP29WxqI0QIACE8EJlpFJ8Qv9Syiu1JHS3Q3VVRnoTIUAfatLXFHMEi+WMbyMdBND3s2UGyZTmWNLQvszPlT98YsUCLupVCsjVJH9U34IKOY0izdy4iwzIIQnJ5dq5dpjdv3rTz5UpqEKvzMwl+Ly4vZSLk7c1du3h62S4uz9vrV6\/aHm4OjhmbQ7dv227NIUdOFSHne2hb7A9xehsDZqghYOkfw1mzVbu6+rYMTGFDGXymD+FiGQgPzPIy7ARBh+M21xH5CH1D29MH6Sf7cQ7qtLgSE40QGQT0ITKElXzm1tYRtWyqXUTe5Vf3qvOcPg8uQPwgMrybyEAUMRTuzRNvN3tAY1SLcFyjQ0\/y7P6xDIf39T0KsowTcNsjM7jHr5AIExElg8lE5OHrSYZ2ok14\/iZEBse4NaHh3USGOk8++cnPxMnQeahMc1siSwIEcavlqt1hJKmIjFqjiAyJeCvDXiEyHDoMkWEg4U+2GijfkMjgBxLjQFoIghEZwSEz+l47SlcXH4mQPKxfSAfnow+\/186fM6NdtvOzJ+JkYPv2bdOWJw\/tFAPB64e2k2lEbvvzGR+AosEaq4hod965Q44diEWHxAVZSA8iw\/qepU2IzANnY4rIUEfFOSIyfTpCHOzN1pp5t7f8ajrxrZuerSgLA89X9ToN1Mzdjj457tkp5U4bu72x7QPS2E95FNIlbN8ncCl0sk\/rWg+GsAj\/4XI8IcxkyoM+wgIhukrS\/oagM\/HP5+0SDpP8uXWU8nKOabFoV08vZH95i+D7di1OCNtB281Nm08QyrKzdNMuT68kh0HpVRro8xPpG50sr9p8yQ7jst1BHLSchwix3KI7Zr6FgOtTtVwyIVD7dkvex4jMFBs09yYw+IfIYEQMP+Lwe0xktJyq9MTBfANORnhIv2MmdHMrRVRQQoMZ4sn3kpuSDkAa9B3jU+ofU24HIW3rd8EFOd0ej3VQRs\/EB+jrmICmbPQrY5y8vgmRSRrGOdKOaGXfJn\/wp\/9qT8G1vtQVsgtdB8JpVO6QRpuTGYnZU4p2RSDEdlZCIFeIzMOGHQGWX1wFM2u\/9iu\/0n7+859r2XVMZFSxOi8TYhNOBgLDjCjBLYpfOtnrE9cKN+N2x2+109OzNpugB3Hbnlx82M6fflv2WU9Xl7bbiwnYOcs774gstYD17I8tY+6MY0YTgQG5QACetWQxAQD0DFdTtwPkWxzXrLBc4hvb3BiaFvLcZ2vSZ01APgbZfXewEeC7OoVrT+sKVCHsxmde2G1AwRBgthGBV\/jD+AK+SSbDAHK+tFnanJnRRMbkf99QzBuRhHD0B0gr\/2khJvZ8UDHfVzpTll2ZHE7a5dmFiIDOKZEDMjeWYeuNTllfXHGtMeoC3mLn0Pvq4rTdre+kjIcC5PrNdTs7O9cJpv0OrVIMn3FAdCIi46Mevl+drWxdcq\/bNTgO4XNx271NLqgvtWNkvpuuVH91ipM4CdxLppH+VDwICNfSdERBfkfEhV+fUxu5nT4Med11Syv8ArLd\/MBgz4CFyGghPJRXciV9p93wPyQOuJwHZOJA1kQc8oJg85t6GZi8XJbgBHEndeDRDnwKTuHveONpa9I7lPklrqds58X75Pf\/9F\/tobDsJtH5p2dnppYlKFpjoKmIjA4T1lmknsiQGdwLCaNqEiLD6EafgkaHKDxGZPgF8fg1sprg6MwSsyaznezJsO25aOdnFzqjwi0Ei\/mF7H28fPnzhrrE8ycftdX5U5lMnOsebtLCGNYUWbaWdUtxVMhkfBsf2q4goxANOs0zHFvZbUnHpJPWpQwFEmrWS+eBPJq5mJ2wlOeZcKL1fiFzLiWfTtrNeuSIkr5u7pxwiRi7K0jH0RTloN263W\/uxTGQTkDnTzoik7QgMprdRBho1\/QZCAlCoNxiAoODUMgubk9ktPzCjosY3ZrZQmTqEOuUpaRtlZyfn7ULDIbV2Sc4GduTWegaXATrOprCpEK\/svx6+6rdbrgFYy8TqSsUAFmST8GZWx3\/QNOUA5\/kfXWFQqWEROpfToNzrQQGKRmEbk8IzJ0mjgcEvVq+MpEYTxWuu9oX52fHT1\/pGVmKNj3sH8LE76j3dCh\/wUF4mP0ZM4SRv2y1HBIr5cuAr+WSB6mJDN0DjvGcvmOIcVQn5cY\/fbYTJwoRmOlYBafZ2YBBhSB5Bp\/ZLAA\/Et\/5sgzWzFTvI5Hhkx0mJUYigx\/xhXJfT2T+Zs8AE2E58RF3Lmtjp0i2SriLhp0QWK+ByDD7UVFnyMAMJyNzDCAxKxMpU6FEt1KnPE5kSgem3i3ktYIe+egdc45sqU+X7erqucrIYbzl\/MIS\/M0X7enzVXty8YEUrp49+6DNpksJK8XJnNB+VtZbMgBYn0PJaUSISxEWXBAB\/tqdbK4hs8daMhF3GsijzoOY8E0ch9sDZTs0Y3WQr5vBGHTa5hRLa+6AgU6+6ucHuBi2j5ElbFT2yWzXbu7firNkQmAJqTKx+1BtOoKJwjgLGQFoT8rAMwMVVtyEBuFg\/DsiU4ch7cdZtZKPSfO7iAyzZ9u1y8uLMvfA4dXS8p1jxN07SVIxgMicrqRR7IH\/0PYvv9B9VMieUGE4ZZk8m7brzbWULJGRsVRboRAqC3BwN5N2slw1tHW4IwlTIDuOBwhX4UhulB5yGEyiSs7GxKDJgZHinbEQDBzPknvsvIRVWiEE9F8903\/5Dj6HqMRFDhPuRuEgMhxBgMNigNeuXsIjNzIn0w9mtM0K57gtRMtOE3n2P403I5HAmT7Q3\/hpb0\/XvtCOlJk43rWizxH8CjPkD5D2RPd6+9nOODSWDSVd580z8clbKX0dkfn0j\/7lXiyoEGihwSx5AYp3ZeWN2R7I4TQaxzsdVVkVAuETjTHKalhG9ZAG6QtGQzETQlBA5iA3TrMgVvBKx+Ls9NJKWGdnEgqen2KZj\/Ms+\/bBBx+187MrbWszY7K9mvuwQSrkBxDS5A3QwHPpSxiJxs5gQVuciToGmmNNaL4lHO3AL3Xv\/YOk73OaqTbIJSqc9mncmcy4oRymEe4wCJnwM5zJDCLobVR3rAk3ZUC\/yfFdrrQ534G+\/f3r5VMfRstULYfcFz3hEWdSxCfyMmRls72vxPE7hqYwyk4frvSMhjbpagCyS7V+rV0M5Fngjok5mwsP0qkiTwyHsauiFeB2LYE29yChyQsXA6dMw1BviBdyEQBizI6O6ohlxhIAs53M5KF+qEHBs2zmivsZJxwRiY7w8JtncS\/8FkHBX+OCnSY4GW1RW9Yi7ni\/rrvLLSuB4wUPUAnXZF3LcJUHXNDWu8tHHYayHt1K4H4YJ5GED\/B+\/MwvYRUfTlHBSU\/7NgdxBMNSzN\/iYuYVOCjjYOYVQthGIoMEkVmGcz6cNqVXpGotNR92MnwmBbaZRs05BxLNyWQQxUjiAp10BoXTGHHxo3FCZChQlk74i8gsymRAERmeub96wtUqC+LvdQL48vJJu7x43k5Oo5iH7ZiZD1ii6TvMymNj4GYl1Q\/yqJFAQHReisNRh7CUigIeyNYRFVyQMO9xvR+gZ7ZSuYOpviutIiw8mbBQPtqJznQc7TrpkBwrBgiSkZsyA9Sbdy7mUwpHiAjkOe8mKuOMSLvHn4OpISzpE9z7iMxqhtq+JwTkaQDfSD8yNsqkMkNgr7\/UO8uuuztOJ9sgPDjkvBBksuTFMVWzbW8TEXAxqNILP\/dcqncj5TeU8lhmg7nY8IWgsLziHJ6WTEVgKEPagGc0eDXZIMupyQVCweFEvtO\/xEs\/8xtuJFyLxgWcDIJfuFwttbxryam03JVOWC2rmY\/Lmt\/QLhqkEJqRmAB55gKbPNMn6beUDxfo+xNIPrghrBRljW9weZL7FM4MUERG+R9wLIcQf3+zE\/cTIsMsz1o4iXsma7rV0Mp1VJuOL9ugdQqbhFAEI2GIDFu8vwyRAflARNhiDx4jMg5kZVdCyyWIzNl5GaQ+aSvsymIRFPsyq4VY6idPPpQ5CswKgMQc4NPpW4gjAu3Ku2\/sWSEeHYxL42MOIMhGfQ+ITCEp8ROeMEkDSB6KW8\/xF9v+YNV1xSFdygOLOXV8IHFMZ+DIPFDUVbOxLAlH3fBDuU7ROsTA9c8mLo4j+Vv5SzBbRKYnLN+EyJwvfV2w+9N9zy\/LbvoP7mYACOfdq7ISh23oicxEmMCQF5MNaSCn8pKaAVlCJSXh+jPgbaclbU\/+GAffPCAbY0L0VMlAVNY1oNN+OMQDJjKWz1m+dkhkHA9C476mb99HZCBQko9AVERk4GSIH70pExmqmD4kzfQZ56f4BfIdB9HNMy79lrrgx2+AbwH6kO9AiIl3Xz2OzZl8PZFJGkknED\/75xtLxE2b\/PgP\/8Ue04dQFCTdIJls31bXsGxiqxTwdpifkReAZBSG5ZKBDnuQcqr8mWmgtvUV5Mk2K4XlV\/mV\/CVEBj8ciIl8ht0KZkgQGSEwROxshkFw2PGJNEwvL596OcVsSYZlfsB3Xu\/aJQaQavuvbxB2NGjUIF06i+WSWV6rmIvY1BmWuMOOBRH9HmTJt4TLbINfw+5J1r7SbaENWTrlQJvLJ7mQxEIIa2GhKT9ToHco+Ea43jHza6u4lNFo5ziA3xABAE7UY9eEBad2LiNShE183gnvcCxL7tX+UrKbWrOXb\/Rd8uMWTZtWGLkk3G7NAUIjOe0HoRGOgAcoAmq5XbM1WCR8M43h4B+Dnf7hU5aN4lTYlNidSDcGI1PhYtCKNY6O\/Z1+ob91pEB9Xf1Nf23cf4Q57kd+e6cJJQJh4kBQOFbC8x5Oif4J11ETR5l1kHNn6jsyp7S5ZSIOQx0fA+IE0u7AY+EpQ5ajHAnhqmQxDBo47y6BxuWP06McQJfN4GdwOXVomm0QOBkOmbF+ZRDykbW4Dzp6sFqbF8KMwRwnhuAuRIYL0t1p1gjuicyAUKUVekxkQGA7I+0xkUGZDAv4y5UV8izInbV272tSkHZj1uHq8rmu1p3XGRu2lGUoSUaJ7nWzZPIF1Ag4Zi+QLkhSCCiZDH7FbWiN3nEyxHWdR4KSd7VPPyuVvwTsJUCe6Mra6ozuGIAWTilbCJUwkkIzSCP3srzMRGcMLydOw8Qh7dy3OcC3AFrP9HX6Kn2CCkKeEx9nosS7T+ga9u10cS4dmT4NHKfhUja9p+8tfXB9GFZ1gBXeKpwMA1E7StK78sQnGcwaLW\/wDB0Y643QxqTLr9UN3A9oQIvIiJBQlpFoUCZ+RWToQ21keEIhDAdllUbhB78Z0Md+KkMp+WmpBUERoeEYCWeXGIzhwKx2pi33vhyVLv2avgIoG27kEg4JiL+9C32YASAyJ3CcjLNpe\/OWu6AwglZtXUD+xO+JTMrhsolAyP84n4hT4JQmv\/fHf72H2wDhYTPXD+s2V910QqWTzTCdwrKCxExyxe2wk8COidhGn78RkZGexNhIQqojIgOMyAhimegcczLsTkBkZD5zgWnMedtz1P\/yQopkHIhkexNOhm1NbPtySwDizOkJJkGxPXs5cDJpvHSs2ORic\/2+tfW0IgxCMmau0i1QwxdRSaODWJHVADyD6JqBajnGjAbBEEKQd81elGcgMloXjwSDsBwUFKGx9kntDFAO4hyGx5mL8WAmDN3g9vdSyM89kaG\/KIdlJ+oL9Cw4GKvZLjIziAymT4sg8csZNqXC5LSQpm\/a2JPEnLuJVV\/hIXKeOowrgWchI\/aE4HSoG8sK5wmOQOCmIsTrB+5XYtEOd4SSogftZjcSWp0NKnUCiAoEgzDourkP4EzpUzgI2rcmBpk+jOAXQmPCsV0bNzzwjS8QDU0HushtXDpF0U\/5c5ZhwvXJ1e8oFT5CZHZYciycIA\/ajbS4q4xnHGA8oAHHwSw8KvCA9sD3eHdjO84x0NbWn7E8DMU\/t7OWTMw4pe6gRTwFrXzdZiEy5Gn\/g3yG5ZXjTX70B\/\/NfrKomQotTLGt43mXVJQ02WVKg\/RIymzmhnOlEydEAyAtcysQlLHxWKfTuLJ8xsq5EBSCp\/U9u0vIYNAq5YgAiMcp4Pm0XZ5zEwFHDVZi19naXi5t8zeVJj2eVgtU6mvWPSnOC6FUGYkaEIVnnHYhjICpGy7cDI485K9Z0++4hPf7uF4OouZbgPombv9NaR+FhQgQHqKOvwfiIYAUISy9A+n5TRvHzSa2VgeIyEBA6DeFd1jAkwGTQBEcdS0I57wWEtD6BoNo\/Ka8IVLWGHWdIDZKGzMhtVwGcpaqWDWF1UzbOM5QyzC2+avtWa2njdM3Nshu4k8a6WN4p0EW1vdrLYF6x3cIhM4dFZc7+O88IbFEJh8RmwfrRUl5j2uCsNmLnhiT7zAhuC1R\/Wf1NpkbP1KWAFe5UO+48lUbxI\/2TJy66ENAWgNwOJR4nU5L3o+fi0a9m29ZUQjkG+kdhHsEFC5ERkhTRIYBnkYnIbtDIgPyDAnBElUFAryDNEFoMguRYZmFPzASGVtYS\/jHiMxq6XudmEGvThdFZCwUDpHBzit+pMMvZVVFOcbJAOC+Xq3ZvVYGAY0sNXPVc34JFwQjHX57pNAvaYjiu8P5HZ1n7IRPGj30yEK4dFrSyLuBZw\/Y\/lvf\/gxiXuPHr55LsJ82jjuZrfTNRtd9XzXPOohbYcgnRCaTBMsb7SYqD6ssiAjhMBEhK4eOIw5XhTLnojiF+NYcpkyZ1KKH0wtdfYQCsxSkh0HtoT05HnjUd8y404nvDIcg46fvR8veuPT1kGb6uY6SDBNQ4sHJcFpbxGwrk548M4bEDdWkBU3heAND3Qp3LiscA88cv0maPSALohxxBn5dvvjlGbFAoE+r53TV\/oN\/j1OHkDYYYUyPNJIe8FjaxzAQGSFCERkaIchBA7jD0Zj1gCTRnsgg\/Et4CjgiSN2vVC5EhkLzDvwynMzZ6UKaoSDs8\/PTdnVRZjfrytnLy8t2foGF+3ErXB1NQ6DEhYFr8hOCeJYKkSEcv\/IvhMt7uAYhV+ePG\/yQq1Tn9mHxSth0CP59p6SMgAZQPSeNvAOJ95j\/mObYB4QZvr2HyGD9kPTIG4LNL2H2mzFuvucbfhAZdnaSLbuJEBiFY7O1DNLTxsNyS69ui3AyEBmz684vpgV4pm1ofwaYZHIItbVVb81dOBX0X+gz0sS5\/9AstjlQbOTgJwfB77hK3HFf4pdnJpBwMgB+xN2IwJCmFTApI0QGgUL0q5QHROYerXnyMKEhLZYrIjgl+CV\/6hX4JkSm\/9ZzMmP4EU9wtGcgYXo\/AP\/EeQyEF0f54\/qy96D+\/fSP\/5rDR\/IIkaHCgRQCJDnj5OzbtxrQhAGBaEhtUxUy9sQn+eJ\/iKBjhfMN7gQt3oSByMCdsEy8uESJa9rOVnOdnsVU4wfnZ201NzsOkUEuA1KfXjyxZfrVSmmnA1+9fKNlFMappnPMSq5lj\/WkznjAjrOT42evu\/NsZKpZrJCxb+BwMnoOEZJdEoiOO4X4QOJQP7ZdgeOOS\/paI1e6cT1Qv\/jznDY1pzAiEW1KO+nAQ4XBL3GyJFI4LZN4h9Pow3AS3JMFxZAfGwQDbunosJdaTCgyPmX1BN6H8uiYgsvbExkmErS3+RUBqTZIfPDPa3wfeIFDNO6ZyBA+ba9n2H6v5zSoCctv0uU9cd7nCCeFuyIyEGD8RbR2+OGQs1Fe98UOMw\/gkrhJ3zwppcA9kxjlc\/96u5i6dHl2\/btee0UR4uY+GAk0DiCe++ZxHDFX63GgfIe0givvxgF6vzy+Lw7+8QOHkg+AnzgZjsqoMx8hMgE6\/2wxb69evZLGbSoPAhhxXPA+AyTXASHeI0SGd3EdLJWKyPBOeehUxCiorRMOIoO8hHMyT5eLtqglAeUJkTl\/+tx2S1ack3FDsDb+\/PPPFQ5ORpuaGE265dL0sfEGQpIjAtUW+OcbuxA0XOqp55LJ4Me7iEylk4Nq+Ce8Gr7ypI5oqTrsKNtKmON4QOLme5+eYewD\/A+JjNNwPzjOyX42CGNDcHAY1qqtQiE4cXBwhRwX4cxR0oOI7HQwz+YeIDII7PtJhzDY9\/Gu0MTW\/Eh4spMJiJubt+ojn9tyncEDIy4GseBoLGOj+TGQpYFb\/SGnfrNKI3Zm0j7px0wSpOet4Xc5mf55yvK6iEzqz0Qr3SZxMCY0zhvb0PeWz1X5s0M5RU+mOBn8Q2RQMExe8i9Yb7wRQ77pD5qqJzI44unb0TIK8LNFG9S9\/6Z2L4j\/u3EN0uvqdKn4hksa\/Kb89NVh3F2b\/PCnf4WlDnENU0acBlZtX4OAqOPXkgGziH1GdAYcAzZK45+MFVeGrfwu5OtY7ZE1NpHhfYaNE3aDSncGN5lP21NMBMBJrXw9BkTnA44OlHkCBuqTJ1e+yfDsUoQEu7\/4w86\/+PIr6UDAvWAIiDNaV7Jcv2l397GfEq7MSMa6WgjJ1qa0v32Oq+dkCJcG5wwOO1I6IsDMSlraNfG5GvJIWBztC\/GDs2KAQxBZvjE4iUcYz3PVEaid125e2pjfpNeDB7792J1LuIlkKfjzOxL7k21OTMsquCeNNmtb1vlFEEJsjESJTw5ljIyzRRzMKwJDOPWHiMxYPpiLEKZBCVDmKtBUNtdiDs6Izjs7QuaiiFffdujA0F\/0gduMflEf1Q5RjLVTFvoEvRqFqT6mruQxLJ\/w57mWr4STIcpsT1ff886uF5e3+Rn5kHeLsFXDTiT1Ulg0h7lXfpLlePVXVPIrn+QXQL+GvgNn0ya0t2w30v6dzpYuKGTXh\/p0bU07S7QmPKUrx0lfILMtUC4TeqnKKCBlFEWrnSY4wkM5II53JVOyM\/zob6VRgP\/k0z\/6F3s6gDXxvjFTPLSpDulRSRsqgnrSyLFNAYwzXlhgI0wyllyAu1pqR0O2fHlmXTQQHZ6tV2MmmHAmMjo5DVHi6tMFp3zPpS\/D7hJ2fC\/PFjI9wYE6bjSAACLXma2utBYnDkpgKBJusFPycNtevXjR7soAEZzP8vS8PaDwpS1S2xzxtjU2fscZDqSjA4U0nbwmiJH3QMIQB2KVRu8bP+e93uceA\/mCvB2uPBZ2qvuIjAS5DMwCd7e939N\/tvOjX\/qSmbIOjSYchq04\/2OqMpF2OIJh2ZXJbZUStGIi1UJb4jv90do9rs9X\/RvuCNvAp5YNWd\/KoLB6wBQBmtcuA1yWspXd5nFpSzr63cEV+jl9pLTLBITz6b8VUej6DqIDFyPiU3jheA9tf4\/ax8ZKdmx3b5HFYDdkXIalLCJER6r5CSMVkZoEEkeuIwi861dEBhva5ue2qJuwU7qxNQE6UOWrbiYVttkB9F+s3Fh9PdghsqwtnFpfFrV94cxQhg7f+ueEOwbCTH7yJ\/9yL6m4Tlbfa6doJiLjNSG\/6MSoQEerqBTCs5OfCWfgUKJVwvHviQwZUyE4HYgZ6YO0NJ70IDAFOjcS0tbcpwSR4Y4lZAbcnYw8hgFxdrZqT1hOIdMh7ZnV2jE5wADAADnddXv9poRzD1qenC6d5q0sIHG0fq7ZkBkE3YZJyWfUaR33Qvxj\/7hA3jUrRuGu6xCgJzLAY8\/HHcdXcUo1W6XN9a1Ln1Uq8i3aGHE9YAW3Ue2A58RP3BAZOjr1Iw1delc7PhBkODuKEFMCeUYGAxAPSNnw5jlIHDcSGd59I+gHH3zQ\/u5v\/1\/ZjaEMaQeIJkdFROTE4cG9WGsLHCVPnIgEgwSmfNBJcTr8QijEpb7Tf+63pEN4\/aIyWP593+8xyYmcha1slnIy4wmHwRgYJyTSkRMHMvZr8vhliIyBPnQLYF4FuzvcSa525H5y6l8TuaD6KtzWCCYiAGWhL1I2fvFzu\/dj+pCY4TzduwAAIABJREFU9OXq\/Ynbw+T3\/\/SvRWRM97iS\/OEdIsNdSSRIBQIpEK5H2DEziAezW09kzHIbsZhpEKZxe6MbgpkRAiNh1dQUljUxyn4QBF3ixo0E3H0Nl9S2MkTNBXA+PAeJt60SzEsAcEVCEnZBtB29bps1Nyvc67DlVlrMyBeQWUxrV2DX1mVLlbiUg1+lU0gYF\/++weOH27yHyEDE4k\/7vO+5B1IQd1QyFy0hKkzf9nAysNC0cS4\/h8h46WLgOXGCFLJqCBmr2ZgyGHkhwJU+nTWzKUuwVvo1krIe1r8vD9vW5NfniRuJjAkg8ehbTHYizE\/7OjyCZZ9DYkbndLTHqDkODa6u3ZEbZelrmYIHMVzP+4hM3vNL\/bnszWeORiKDa9yLLbs1EBqWSAh5p7KTSzzCMKmlrrqwrevX5PvLEhkvRsFUDLlP2+b2rv3VX\/1V+7f\/0\/8oI+a03x13hAsoRwgE6Y1panzWqgMuJu2dsqiOhVdDW9TkFOjLRbhA4gLEnfzw93+2Z2tXyk6ch5ls23TDjJPKM+CD8JkdvSRgicUWHmvHHkAmLYW43hL2ToSFmyTNyYzIRbqUECRtNlpechYRKJCPdf3U19YizEWYyPWnD+ubtphN2tOnT3RfD9rF0Yw9Pb+o7WqfRpayFp36cK8zLxvMAUCU9g\/tlqV5zY7sSjFz8bwZrgiNc7mQHaQTcGnovsF7hK9brAW8B+BkaBdc3ynU2e0eok6+XusyC+ucme4Wv5VNXaEOfSLErOWNZBekaVOeyH4wUwowcQDJm\/ApIa0A8oZlHcLMTqSir2kRP7QixbIjG\/GRB57RByE8\/Zu4gPvZ\/tTLZTRhgYNRGRj4xRnZPq1hRGoOrWKQSsOj1P99FQxpIivLL+lIICxCbqLBN5zOEsF1lOxGcegr2bU5JjxwoyaoIu7YjRGheWgziBLb0jKSBRez01W0QuVwQR1OQIiA4AC\/fCc84DZwGRW3diVxfAsoDiJ82RVSB7T\/9m\/+pv33\/92\/1Z3tpDvinHEH8HGBMZ1wMqSXMvGe5x7Sj8fPfVjSCfTlJczkRz\/92Z4CMHh0RxKrvgezZNk2NAPi2aRPwIQGfZRxhiSzEBnZqigig4IVREa2WYvImJCVoEm3T4J0FMw2WhUG7mYSIrMaiMz5KXdwY3eE7W7kA1gUA+G5kuOsTXUU4XRgq2kO3abHRetwMg93bcvVpCJEZr9BFOyVSMV\/Zw4oHf3Yc+obvwAzA36aSTsikzjASGSg\/I6btOxvBEgc2hRk5kT6fhYiY0NchCV\/Biih9zI+TppUZKYZVbaQ6ybIAPFo47DXEBltCBYhJU9Ilww+VT9KfsXyhvAMKLW5clK7kR6ONhjqgZyviGe+K61u2UZ48tOMOjLMA5ERrsA1UCK4BogNBAYkHiYA90tPKHoCg5udcJfYidrv9ubWqgYiJlb4S7w4iArxeAZoS\/prtsXuEsRnXUQGQTOkYeQCEweAyKQM1DfpI3CnjuGS0j6k14cH1LdWHW67h7WIDPWXFvyDjc5RvvSnpp0B5UiXtjReHS+XAMqRcucb0D\/34HQMfV0pf4C4k09++jNku6Li5mR2nL0T8jPL9JwMcZMABXPjcFVtmRYQgnvLDCIjWU0NAhm\/rAY0YQLREsuHAHMfM0QmnAyq7SYyZ9a7QAjM7ZEQGcxBzrEd47xQsIA70U6ZbNFAZLCCh7DnRMfw91irv79WJ+1YOlVDEQ4C6OGCYNE6EYrLe4gM9m7RdaAzEJKWRJ6YaXLtREna7+1VBiNdYKGoA7Idqw444mQ4MxS5VQYI7QDyQDwxiMSOFPlDVGz21APOehyw9Vyq7k5fnKyKuLDL5dkUFXjikg+EH6IFkBbLVSpFvlpO1m4jDax+rHNEmYF7IoNx7fSx60YIlgqUp7jYmjgYByTh5bS5MA1e6erMlZ6\/KxG9wRxru1r52sAXbfw+IiPutZ8cRPjBZV+4hl1efZM8hZ0n4mVwmxNC8EsepEOdIIZqjx1XOkM+3aYKu2GHlFsGwBvHCYSTIW3ScRhPrIyHGCgHaAPtMKpp8YNYMPkhkQMfnI54bsaMVgFLq0KoM4zDhKEtsls3Hn50\/dxHaV9HU9303PuPzynjCIQHh\/n1s4mZQfn\/\/k9\/ttddPzpVPXxTAwVh4mhgZkIigriSjczn7e31a\/2C5P2AscnGkSLTeISD86HgPHtJQOl9jxDmHBgMcEHy1rH0unWw4jPbnS3PNSCWcwYKW7+W4yw0m6PFyuXwlrOIUwn3oVmemQCdCQTDnAO615KCtNPwW+k3A7DLepAMYDMbDzmKAJU8gsHjesIIjG2AoG7Iu6g8DnkUgy4EyQBJRq3fb0Z6+sU7JSBjwOkxuMwliOuoPCgX\/0QIGByV\/J7BrmUK8hH0T3yZFzIH6sw3IG2AOCcl68H1tOuhH1TED5BuwtKHSV9h+O3yBDiSkOcQGWKLi+nyjkv74kKYITA5oxQuQeXTgLMiH+H4JS\/aVyoFxWUkvDgmcbYmgBB7AA5H15zQznB27GTBMXJZW5kNhZhTek3gDP+OiwnEj9\/461dLXgPfAoMR96PJqQ\/DM\/hA3UhKhPvkZKifVg8iCGM\/kSd4Bi4SnjSSZsIAxt0cI7IsrMc9QNvfBUr3J7\/\/l5obOEHtAjghPvJLIvzyjcyTCfCd73xHiX\/x5Wf6hehAiAJZXuFScdJZYrN1Oh0qLdjXdaV6ZYiE+FAms5TEzy9Gqlg6rZYIHmHNsUUMSXBlF1zsJuNNEgcrH+oEBWe7T2wyM1nd2JcOTnl2A9Vncz2NzoQi1sVhQjw65MZRxgACQQ2UQgp3pgknfmbRq4N00I+yWZ+DaFquatC5DBBY4pOW9T68BMIpDvU1rRiIzEgpvN1sRPIyl8El7qmTmfCs9uqIjOrZQeqadgP6Z\/o3AKeAxcUgftLvHZBnjS+ej9Lpd+oY9AQb3qssaWNxLaXjgl\/8PeFkhnc7kgfau1jV41nxKy3dYVX5pH5a2rWJNXvrOImWrSXMJx5tmSWj8q0dMPyTDoAfcfDPOFG8IgIAfgPURgqAf8ZnD7yP9bLQXVwwqhxVFhMat3nqRrvAhUj3rdotYQKUk2+q88zE+pjIdNWT\/+QnP\/1LNaOvplTfDpVNA\/GeiqRjcHAXnBe6uX2rdw4osnvDwHYGrmDi41xgHxvgeSBKGJlaUlgPrpz81Cqu2L1wM6Qz5ypd7lXmMjpt2bqcJ8UBnXA53erM3EZdhUvaLKm0FQpxUWOxo2YCQh3IG\/SGAzJAJBjAhPEhPcpNeoRPBzFzkgjvMvVJ2WWewAgEpxP2nTrnMnuIRk+YmR3u19xQ4NmQd+rPdTAKv0A4bdkAbU0bUxbaJuXy0tc2YthaDieDTWDKR11ZPoWTEeKqf0A444DaoHAreBBEohyA2rb8gHznL\/UNgANGYveRccD+0hyuyQx\/uUFYqVbUMyUSR9ETGX4rX5z64REik7K7DBABK1rixzPZoB0copCwGmisjCpfjrRQfkyCIEaXzG1iPR1ZX2TZVu2fNgMUt\/RQ8Ev9gYQjDHjCO5Nv+GiAbwCp+dI+t1PSJV4P5IO\/N3TMgeEyqUMcwBuANJJ+OBn6BUg\/v6+85GM89eQUSL0Dk08+5S5sGjuCusNEgSAGCVKAJDoUsNb\/\/XIDZ4rpZVH8SIvj+qF+GWBwIN4VgbiBPK4gI7UXWjIQoLZOpwiY7lyeydzmyQkIQjm5c2khlvlkjqyiGpKtP+FuDRqITNXDZR4R1s\/IEdjKr86eeWmEQ3EPsh2EZunEXKkylSzqAWFgEVgN6GL54R6QZ6Go5uUY5XO7o\/UM2LxByvVuR7PMW6\/vlLaE3dNp+\/jjj9uXL76S6rt4MNp96P9IVEmPNnO7IAhFVeB4AJAefkZYH49I3kDaKi71pK\/4DfTPxI9LG2dwxVm26TR5D8DJBPp8SSdp5Z2dOKn3d99xjNQYDusdmwPRtBZxCbHS3OF0gYSfIathuUB\/MmbgAjZbrlAfwvdl79Pp2wMgHP7kmXykxVuQwQ5Muk0WyhFIPKDPVyOrKz8A9wuhSfx8M8fssh3HCeCX8hPdz4StAErHcRN28ulP\/tlAZBjAQJ+4Or2IzHGmIAff0AHgewgHzw7vxsksawcijpQPP+CQyDBeM7tjpMqyniAjeYJwIjqarW3wiOXTYu4txumJ7QNjuR8WmezMgiJgBimEbRIUw6GkPPzi6AA\/w8mwnLBgeMt1iOkAZrja3mRbN3FxWSJNkfpX+41pUleItlXeIYgmMmAoHA8CSQ94s7WEHduLdJwmHI2JDG2PPwa7Xr95I+4MFfuek5kWl2diRn8tZBLygXIWG09aAeRF6Z9AwqQeQTA\/G+m+jsjw7HqVyYMuzfjDFST9pAv0O3VpyzxngKZ91nXXEYA\/fjjNh9CaTrdG6ZxwaZx1W+Ln8h0O0qRzwnQykXWcSndvBc4S2vdxgCx3cX2b8k7dk+4QT0c7Kkz9AjbZZSD8Y8+H6fs5ZeHXBMYyqR5MYA7D98\/px7SxltqhAQf5j\/XHTX706V\/slYhU+w37TrWXBIIA1qXxoNG3EJOabXU0QXeRs6Ygrr+H84H9pyJmUf0NB2iBoi3tsSE8uKyHA3dCOviZrfeWrdLQ9hwq7ejioLDlg20oAELgbKKSZQH\/bYjbmAahoLHVkl7yCGn2Mimqdhmstzuv3dwsuiONyE7eEJsQrGjY7jee\/Skf\/l5iJJ\/D5YPSY5E\/zGIqmGeYIgwmTpUmylhi8Qljkwq0E8uPANwS9SUflpTurSIECMY1xdhIldq9i5uBq\/pUX1Hm9GdcIOGIFxwB+voRZvhG3ApPmHxjW5dS8XlEXu8q6anLl74iTPqB+DyzlLQmrgXffONkWYzza6lT3ArEBauPMgORpWClCc57oHqion\/FCUheFRkPeaPECLq4HAQeW4bYVh1wsfkDovN\/rDuOtBSCw6eVhtq+oiEfDCQskHIr7JCe31WeNmkfffRRe\/nyhTjg4OlQFseu3xESn7yY1B0n+ZGXcdO+pImfxzdhwbPJ73z65\/o+Io6OtyoQkEGAg41nXcd6GKWw+MskQNkLSeLIGrA+r8vXaqnj9EeExQEqOLKFUgDEhUKm8Q7KQVlB5LokDkcaJkKeRXWdRgk32RLdPLCedvhDGDuqLw9XpaS8Kp+\/YMt7KAeQjp5L18iIGaDOma0B4iStMc1DOPbnnZzoyuOyg\/tDybpyiiGkbOII3abotsyZbau+bFsrDnre90Z0HGUOUJek2zu3s4F3gLIlPJC6xiX9fE+YAP70dTiyY0i8Pj1+RWTqjBLvwQVsHJkgjH2S8OjZQFBoH5uJ4GweHLDLnzLghnNUe8vlNCnBv+xGfCQOjjJAgB6HcZlDnLFM44Te+\/fcQN9OPUeEC+Q5ZUr5+7ic10ObGujT6MP06dKW+UZafd\/04YDkhcM\/cX9pIoO+DGEIO\/iRaF2lmTiE4XYBGrAviGUqRsY+rMJwSXoJVYFjIoN\/8uAXIkN59Mwd3piFUGUtnIPAeGmGOckTKVuFyPRl6olMlntMARyQHMrWATZZKcNQjgqjCztqkPFNnELXJsDYxodp9pD6AsRN2L7cPAN9On26stNCWflTCMfykit6a\/UlE6TUkyUIekgp52P5J9085z1+hOvD5nv\/3ocJ9HM9s2GITA+EP0bspGfhL2V2mJTdceBO7K9+gbjAe7DFrFsCkKho7pX8Bvw7jF\/xBiLgq3D33CaBwl1ngxf3bvhD4JuB8H6SPKxkIECPHxk7qesII87hjuG4PIlLWPTHrq+vhzY+Tr9PFz\/wLOnkOZNQwgWSF456wIzQnrLrBJEhMBln1pXJhypwBgouCl32hwjYPwXgN1yLBkLHNoUwARyMTKGSJ2w6J0oB\/BI+FeE5TmkTv5QECU9liLNe3+g7RIaoITJmSw8HK3F76N9PCHPcCWxflvwJ56WYw0yLwOAoRxB2iFvU\/TFIHvzSLoH4AcTlW5\/OcdiArgn+OiJDPVQbL0HwS\/y+jKkH8dNf\/CqMWP1KrICypbz9O464iT98158xPN\/IM2kkrz6dAN+OiczgTzvWktRKe7V9rfadtR1yL4gM72AG3zgXVQM77U4c5GOoG2y34iVNZDCO0pkmxVFutogtQzsElT0bGV2\/Kq9aRgGpe\/IGFKbrW97zmzDAMW4lnR7AVwY\/kDLkGUgb4SgLkHyIi7wK\/+Bi4uUXXCF8ypI8Jr\/943+8J0L20fkQIgOkIIC3xLztCpAYDvsuWAtLgVIQiACAH3FMgPjmLVg6D61L5Yn+TA3aVOa4Ev2vqlG7WqQPkSQOF66bg7H8BvbS2qZ01lhxwI1x2Dl8x52UYEyNVPnqe9lnSTp2nIgd24x0+7iPpdNDOixhA4lHPZC\/JH7C0Gbp0AMA+UqJLERGHAuGrkUc2mAugmcJqQv6\/AHyTB5MHmiVAilbX7\/juPHryxjiCyR8HzftAIAvfVvi8o10hNTaNRwJMN95tqzGcfwe4uM7rmSlFwIFISJvlB6r+MnLZXXfTCeYeD1tb69ftp0E864T5eM76hsvXrxQ+AD+SSvlDsS\/P5KTQQpIxvYojOlTp8D72iltH\/9A\/wzwnvSIGxd\/ntN3EJxsyQPJO+HiD8gvRAZWykTGtnwDfQRfTzFRWAgB3\/jsLWOv1\/pKaXu2ExgRl0biyMAG1XaZWmRKaG2pnY4RUfJ7mL8bANB1K0VkEh4XmYw5LcqLjgqCFNJzmpQp8Y47036TtpAQ610E4S6ihBlnnneJTPIAXK6x7ED\/Hci3ISyNUkJwOiW7V8RLXCmA6WlEdoGkuXsRmewawclM1+OOxXC+hTDd7Jv8gXCr1BOZRZIHwVxvz3h57uNmwPR+wHEbpC4Jm\/4mXBA5YUgTf1zS1+HFo21m+XdEJn7yn9owOGnupS\/ie86n3O9URdW3oa092XA7KVPby1df1Jk8KzCmPhBEytSjK9+S716GnwzUKf7HRAlw3uV5hCtHw2GAtAlhe1ygfwDS1Fh7DzjPcbLrywL0agwhMnxLWJ6TVw8K8\/0f\/5mXS\/MTDXzoy1KyEWpDAn52Qm6gnqBQaST58ctSCSI0r2MFcDHr+3VbnZ62+zvWhEYYcxtjQWUhv0MmAHMG9TiURzO7yuWyUS7OEfFpdhLiZOQ3V+O6JC+vhceG1EhTB1aiGsDeiVEYwspXGQxlMJg14CDCBPsmRcgY4ew0KCz9VFv8MoClzh5SFNsvxBACgXwuRjp1zqHBPXoxVml333BgcCx7jjIMHU2xVHRRKu+DMJCqOF5O+LnojUEarFZ2AxDwn59x1cxC3169fC0zmbQt\/U0ZAUs8xiUmSBjo27ofMOz8KEo8iFsF5AfhLIsU0lN+ZYAJ0E4eRECDh18rICKr43yTEk29q629REKHxoSDMsHJ4DeFCFRBkp\/DuMwoLrJzspUVSMJQdwT7HtjmpsBpyquOUX\/yrP5E8KvKxRKg07fahvMkjn70PnaKvxmqGQfo2xZCR1l6v56weBwY+jQzUSRuAD8c370KMbPAe4gMQLp9ej2oLJ\/84T\/fJ3PWa2g1LupSr\/in0BRCg6HeHYYGG4lCKF0GCMA7zxpk3GwwPeQS3DGubPIJaJu8kCT5BlKGPrwO45WAN+EdZ2zgQ\/8RUl8gV\/Pil4EEgKiBPr5Fre9C1uLULdyiloNjMmoHlVfZu22AlOfs4rxd394OywfyVRiIRqWTOMd1eh8k\/PEz\/URZyYdm5VfL431rd+s7WVpjdqfNj5ESM6ykhUvZA2lv4iTMQ9dmqVPKkufeTR7GuAM3JXqege14fR64pJ0yp7b5jt\/xsjnf3gs0PEsvET7qYR0nTotI6GxpT6UB0QOHXN++HdJMx3n1730bd6g+tGm+gx9AH7fvB9fT0KdJfwP0fR83ZSQsv6T\/3e9+t3322WcDLgIpQ9Lv09a3Tz79iz0ne4NYCGBBIp6T+JiIC43D388UchzQ4mDKkh1apwDvfDPAcYzyDiDfjvOUH+m+ZwD3ZQlgqYwy4U+lUy7U8ocwHdudfICD5+6Uau8\/m48Ep+8063a8Cz2ROeiEzTjD8O66sPMxKohB3JCV3UBgOqIHqM7eQDnwF2En\/SryNyljHybtZj\/3B2niT99SpiwhxnAG5F557\/sk\/Zl2VFztbB32K\/6Jl+cgPo4dv3wjH\/2y11Nb1fmmNqh2xT\/5prxjyca0flkigy7I\/T0mNFYVzkTGd1uTP3W2wBcCyAJ8jOty4ThEDBwP8Pc99+WkT9KuwWnCuj6GPm7aAb\/eP7hzDGqrCkdc+h\/Lha9fvx6WT8k\/4VOmAPEnn\/7Iu0uAIrBDpOPrRHYgBoiDeFATjgTxt5zjsAKEcRxXJmyW85DlFoXP9zwnjcTVMw0wtscAaRiVWfF5Qz8CDVgvNSjj+N1p5z3gOozfAtIFPAKVsRPAHoYfiV3vHyJz4FcDRueFqu6pjxHUVSYGZiilVFZEhnSGfFghVNvEX44lQGUXhOP7gl22QsK+PEFQytCHj5Zx\/Ib0jyzm51vYKp7T\/n3cAH68yZZhpdGXn3LkmbADB\/dQRKLSUvpFZOKXeIF+xlV6R995dv1HecJxGoH4U7cPP3zWPv\/8C8mqvJPJPVOL2g5XD5QWfQb9mH7qCkSvhjCkG0heOMKnv4LH+KdeeU+YEFkgfv1z8g6MuDe2Y96JkzHCN9JmPPOb8H26OMKTJm3Pt8knP7LgV52oyiAUHIWYJCaEEcKNlAsXIiNZRgd8I70UmPhj4VG6G5dXx4UEEhcnrd6jGS\/pB\/rwbDF6Fhnj8GxNxEMCA4z1PvwWTqZPW\/4d19ZDiAyuL1uIDJB4tDfLpeSdzoSspJn6sAwkrjsFUg4AjdDRrt3YyRzaOw5PWhjKilJfn06eyQtI3pghTZoJZzcSGfAjzzlzBeDPMhkgXd5TH4XHXwfyRkRNOgGWljkRjNP1f48QGQhqyt6nQZrMvn1\/gOD4A4o\/EDGIwOj\/Psh44DDvy5evTFx0bcu8nZ1d6Kram5trywg1NkgPHBjLkPyBcIU4xlMgfqnLWIcRz\/p0eujL34fpn5Mu0LdHoM8Dxzfe+0mZd\/yP0w2xHIjM7\/7oz0RkEpnwmBQMIGRkOUSZ2NNXgrghw\/cTmRRaRGpAYI4PjETGfmOhAdIN94Ml9kDCJf1jIDw7V3QcyJBB7HiPE4f44ZI\/sN142RcCGYf1saTRh8egVurYl60nMkDaBSJDOrxTVsDpOm7yoKM071eafZ42JD2+p4w7dk3KL3XDceyKnSfCJH1AcYoQpOwu55gm5cizlgEdEiaNGGYCkD+dX1xIOMvWbtqGX8LCUSDA4D3fkiYyIPwgMuACz8gLeyJDvkqniAzPfRoAYYjXD17pxHTfAeff9VnXxj30abMsYqOEbW284IQwP3J7ixKazR8gozKRcf0Ch23fLQd7vCm\/5Dd+O5z0HoP+W5\/XPwR9vORB\/H4M9HXhG+\/8Ur6E4Zk4w0bFDz\/5R3uddRE7XghTy5k+EZvRNJEBGem4IACXuGW7M+VkHYoEXRby2OnRYBs+0k2iVScqYA1yLI2BdNzBtFzY+DL3z3AOiJmfmY88tK3K1RBOjx+1JY6XUrQiO9cDwb7rxnvAzyO1HspH6ThcOJloJqXhAhy1H56rE4gabouQwzteEFXKwXmtOkHOLzciUB\/CS2iJHFfat9raSwb13b+BvjzT2tFyQLiDsR8B7bqoUBx9QC\/Z9bRmqtNBmJ02CFGH4+FJqYmA1ODETWuJwVa5kN\/5ays4sx6ThUaY7fAG+CYHwuq2CqKDoKTvd86LsuYP8VV6fNBKxARKtSgiw5qxbxPCA\/h5NrW8K9+yZBr7HX8VRM\/4OTnCjW3Z52GlVFQErOOF3gw7SC4yeaDHg6F8Ly2S35gv4ZwPfjgTktQl+TKwiVOvR0vMfwhCYAmfdvkmkDanTO\/Lp0+vJ5CER28I2Y3a\/5NP\/2zPQ0\/tc6oaJ2TiWQf+lkosQh\/i8D3PfEuDAiZCzIAmRBYg1CwrRNm1eQiGs9b1n0JztH\/rHhkIzHzn0x8ypDRjeTKW18hRCFMIbaR1hXEdrggG\/7LHEr8Ap6th9\/GjfQKYRRieK40+XkB+E0xYztr9m+u2rJsk56ul9DSwcZN4QppSe8cv5Uk76tePClMjQFbeSi1x2JI2jLN1foHZ\/kTb7D4lSHgLdSCcbOVCDKg3pYIwws9mQDJrY\/oULoOVBVwGeNDXnb6i7Oqzwie+7u9GDsc4gWmFXVurpy0w9bmhCjQxJ6p2Kadq13EABcs3vR0OniHO0TOQ+hz79\/XgeYx\/WL8AS8nZjNwj82EmQ9fLAnDwytyfz9jJGnOXLs92o+wSyPNxuwaSxnGY\/78heaacgeQP9OUKzgL0ndRWaqk6+fHv\/WPF6CPA9iZx\/P3MztPjRAY\/3vntkYPvFgxDWDxQlRYFKiLDMl5ERlecZIsYs5Rb2ZV9IA\/mCHRwuEmB6UyHvFHHHgdjypvlQO+n\/I\/6I\/4QwT7cAGUzN2kFsHQfyK6Z0xnbD3Cj+1pWBJaLWq5hUX66mOt2w+TXt5k6JWXuEC\/Ql4c+sc7MYZjsbhwDnIwhB\/+KC9DFdtwGYL0UACLzAMGo\/CgjwDOyFwYQfvR7ILjyTluUABngG\/GUrtZvh0SG9DHOnTbo28Ycj9OKnzjmOi+UOMf5D\/HzXL99OPeXoW\/7CL+B+AG+qwwinUnKRIYywr0G7zHFofeOyOBSVjR+4wf0z4H+\/TiNfwiO4wJ9HinHMbwvn\/gDx+0c4PswyZD+Dz\/50z2I0kdACf2RbLXX3xeKhGBDzWo6wX6QGDyrZrkkf74rPHY56GBOeJt50eE+WM31RtzKi81DW8sy3Kwtuelgv5EtmL1uRjRikGcaJAJY6tMjjibwKhff89wTmR5G3sqNNsTtlkvxk3+HJGMbiFy2+X4F4V4gAAAgAElEQVTSfvZP\/1l79fJV+1\/+13+nK21n3JJQZaasiR9ZVFzSDPT+JjCP9FQnMzkYSAOB9LmvECIdGIT1N81RPLiae3EcyWtEOvoy9Qbin3dAhKTytp1AQ8ICD5JHmEOxqQkXab25qdAGwpMWxsP47eukb522ddJPHoG8x5c0+joc1yU41Y+jEFqHhWPzPWWMH9cDA+jcyAFOJg+fCI8JVyC\/fO83JMjTfhaejioDLgRhIO7Br3CFPB+m2eFrPROHuOBXwvBL+nCl0oWqOhKecAAMRdoCyC+Q9JNHngnfh5n87o\/+ZE+CCMhS+GxFHoBYgZHIUDjCp6KBfMc505qJOk5mxv46LyzLxFpXo2GOYLJvp3NmP0wQ7tr1trX1dNlut\/e6ZIy7ZHWdSF0vC6QRcFh\/5zeNP0DJfXD5hqN84\/PYgN+EyJhTs79ZY8cf\/en1TVvsp23FmSdZt9+1W7RhO2IC5Lmvy3GZ3gW+Dy8d4HlIYAATGdvV8RLD71v0O1h4HRGZNRyM+s76SilXv5wG+vIGeg7kmMjkVzeHF5GxBmx957qMDvBTXShnR5ADx8L1hD8OB8TnHfwoSJwMlJ6ToU7BefRj7u+vRUCyMRIiAwEPkeFXd8XXFjbp48jbbeR2xBE+Lkd3GGdA\/IGEz3gN4Um4pI8L8Ex+JojVj9UGEBjOHgL5DnExE2FlTPJIeZJu0ok7zg+nMobIkMhQCc1yR3BEZEg0hCYVDMh6eyFW9ABCZASkwQ9X4qpDMay9lN2XxWTdLha79sHlSbs6n7dffPayffXmvt2ydJIZTO64hoqDjE6O\/FNRdnn4TV0C\/dZzqDVOs3o993G+CZEBBv+usdMRzGK79X1bTmbthPbb79vN+r6dXV60uy58X37iAUGWPkwgYTwoy7ODgbAfxZuWDo4nESL6l+tV2U5+h8gkVDcg+Xa8nMZPyXZI1pe\/9wfiT\/4S9qK5XMdDcLv9uLsJEFbp1X3VY3xDj6\/kxTf6mLDxCyRkvvWQdAmfPumDhcjgkKVgMxmCmw2PEBm3r9uMjQ\/tutWByqQPUAaIGO9xJjxeqmdQp1w48k4bQARSrjznW59m4hIunHLCkj4MRrTyEyd4EwLWpxlIuri+XHkPfZDgl4bCwwamNm0+HY+f4x9g5pHUVawfByXnYrWiTdsXAKDiILwqsr4tATDbwjPNbg+buzroaOPbwOVi2s4mm\/atq1n745\/8oP32D37Q\/vW\/+R\/a3768b1\/eMOsudO8RhMptRaX0qvy5+zrQN9px4wR2E6\/\/df9QBIiaXaj3iAzUBUeagcM0R3\/C+RtnaQ45BMuGMCFw1\/Yns7bT2c2pODpw023mjurh+J30+3B5Vl06ITBphzCO7UFheLZZiDsmmCIyEFeliSnJ2azdqn+9QwLQFkFAC0WdF4MxcogAcY7bLMLAvj6898jMzA+kPgEPZhMc1Pm1K4ddv+HGyRBrGyPHbdmhVD+nTah7PXYQ+gv0eXL+LNDXoy9\/D1bqG+PAEXiJ4nTVPwPhhyvkxozqP42vfBvxOG1+3G555ndM87Bsmug6omQc8G5w\/FPfnP9ivFJm+orwWEsgBGGJE6CuKRf5IOcjzqxkf4uThXdTf\/TjfyTGFduwL1582ZbLORz+I8AJVgxnIwvhMNmknV+s2tu3b9p87svd0ogBV9zUMnZrKTzIrMrpuk3f7cmVGTO2wh\/W7WK2a89PW\/v+977d\/upnf9H+53\/3v7X\/\/T\/+ov3nL27aZk9adIc1gd2g5Ov8uVEyQIMcl+kYMAXN5+MOZLs+kG\/9d+Aw3b7xnSeduduMYRKexclivm1rbMTOWru\/u5fcxtzT1+cVf78TzvniP6SvtlWoYtPdJgh3CS3j4rLuBtuwbbmA45jI7EC2xaI9bB6GQ4V2hwQOoK17+RbfMjh6gPXmqAS6MwxAwnmCq50I2P+OyPR50MbxywABRuPatJ3z5k5qiK223ieoRaR\/3kdkSNfPfZmRTw7P3QA7LNcI6YPAY0SmD2OuM+nh0s8VoIgbbXRMsAPE7dOEYAP4UZW0lcbhMNF4Uu8BYTzZU39cwoarJ42DeiOj1dKQNicPuEdUM7wygqGQfWwEv3AybkBmiHU7XZwP6YyFPyQyUj5amfsh33TMIVKZwtE4qPtTQG0L6y7iB91yGE5msVy0yyeX7bO\/+9t2tThpl8vWVvOH9hsff9DOVuft77562\/7zl2\/aejrXXThc4wmwlqeSbjis84\/EIY2P6xtnrFOIzMgeB8zJGNI5afTA4fMY9yDf7dgeQxtxtcqE60SxtEcahCvrbY8MYBqY734c0xbJGIsgwL8nMnBoUWln8xd9IbKEi1Q+7BKxw3Ek+IXI7DHWpJPF5jSGctWOSMDPDPwg8Ehk6Pt+cNKWkQGQJg6cwB8\/wmb5Qxr9oKKNky\/+PPPPA4Yaj0Rmtufm0dLv+QZEhgvuAj0OwwkFkvfxcw\/UvYfHiMwhjJzr+I22O8z3sbjB2eOy9O8e+CYyI0dKWuZCejAn824deiLTw36XpSFlsPwJvSFuoaIvEX9Mp\/M2+e3f\/aM9dl9oDLbbTk+XrXUDQ52uCrJSwvi2iYyuEsWuhkQNY+aEdeHpbArn+F7HezmgnSPdRWRjyV4uTduUpc523xbol0y3bT5bt3O2gdm4xupdm7Xb\/aTd6gK0cTCSVmDaWRqjQSk\/jXvccAOUSVFcGt31HdPkPbNIT2j4zQCCOBMmYZMmy5UAYflGNc9XDrdYrXwVrMwovJHVtjV2lKs8Sgelxo6Q4yfEydiqsgQOiAyzfG39hpNBBVBGDgiHXAD5QunJsDunOm2xQVMJHiEYp6dVrr6M+j4SE0BlrAGS+IRPmyVeHG2rdq7L7eI\/wph+nwacDPgre84nVjuQ4p64ZJCOmFXf4hbSXskDItP3fwA08MA8bAMgcXtIGkCIKAqdHZ09SF8D9R3wRknSJ03ipM4Q5DwHjsMC\/CD+wB+\/0c2wsKtxkXjArm1EaAjT1yO6Z++ADF5TDpiGsn4w4\/bWs3a35kQ+\/TRpkx\/8zh+KyCD8YakEoZlPxxPLVMYFOyQytqFrItML3mhUhdfsyaArCl1HCZi15lPbo9hxgIxOF5GhQzEQTirMtlwk\/qDbHrk0iyXGiS6bn7eHyaLdEF8NTcPCdfCM4aEOQaqxYmIh0HcQAuHjDsIdd2KIzNge40DDoWzIN9whkRmSUKeCICezSTs92bZvf\/AtXZa+PD9rn738qv3isy9kHjJr4SGN7sxR8lX5dM7MGeAfmA2IDycD11FxvOo\/IDIQpAdpH435KG0IeShYIXFAZ4465OQXNxjdrrqmPSi30qxyJnzvgITRvlNHoALHs3t+ITLgHQSG20mx3rddb32\/FvE7IkPqQrmjPuyJTA\/ES7mOvyduD32Y9KGJwuB9UCfHH9\/9TLojkSV\/rQAqXjhr6twDYck\/ZXAdxzT4xY9zVpu1J+f4A3XcdGibQI\/DB9ARGV1DhIqQVOCMH5Jtsln0Wz\/4qYgMhWaggCizjhugEM70kMjYpKWJjDMypIAQGbFKVUJmJ5Y1QjidXEX0S3q2VyDZpNZ2DHrSZmBbu5OBsNhv2hykZY03O21oKIj9P0LEolJ+rE6KpD7AAAhwdYoaWSsEq\/rTz5F1BHoik05MB+HQ4+E93+N\/TGRwi5Npe3I6a9\/7zq+2zd19m60W7f\/4j\/+hvblDn8JlTbuTBlvPcHOkm7ryfcsJ38qgb4Oek4GkZOtXGtTyOeRkHrhpoYhMlBl1dWInfJRfAVxliEzfBv0YBANoT+XRDWbgseeUnzYGn5Kuyl3QL0kD9nH9IDA8M2FOMPQNLpBuR2TUr0Vk+n7qiUyfJ5xu3vM9kLjvA\/IY+6s8j\/oKe8GPgceB0wf3ANqGuBCZYwKDP2EpYxwAYe7LSVrs5G42Ve9emE0bHZ0rBLJcegc6IuPxwsSHLMNlhGPS8P7B9\/9gv1jamNQQIQZgq8GHQs9oNL5Z8JtGTOUBEqfwxOvP\/fCrGb7t2+3dTVth7Y31Kur1sr9LHjRUkAmzCnVMgPGh+5KcPxrDGwZB6SwgnGSJQZ6JC5qTJ8XS9ugR+xlIB6bMgb5h+0Y\/QMCKJ3dEaAf\/OrYQh9Dz2ZPL9r3vXLaPPvy4\/af\/9PP2+vVNe\/P2pr1487ZtdtkBSPkLUTPjMDiqPGi6ijgcsbcWwII8s7Zj8MxGTdSUC6BVQA5uT3Q89zVvCtcREPVd6jRhJjUhSNvgD7vdQ8KTYp4JH8ROXBMV\/FwuZlnwSDsVGWDsEll8Jxh7hHYY3ygTcegOiC0gzggBK61VuB3bvrmjChkOXDDxySscOHIp1e1IiG3N9K489YuMUefkIifkbiyO7XQlHvt3J0uOcPUqc5kcRWDKMqpvM5zbe1xe8R7oiqaw6scDPDRBwc4Tz+u1l3KIddmp46CnBe5VkQ5ImzhAP9bFXVdenFOjnipj37c8f\/+3\/mC\/XLGmRf25qFpnj5TESUSFPqHgOAaC1Lf0blbJtUxhqAx+qSAVUkPqcCBGxGciDEtkO9WIaZTcwCWiA5GpeqcCGmgn5gpySwGCJisUOixAWkkXSiUkOyIyfRl7CNIAffgMkEDi9kQGUHq1zCM+jmXbs2fPxEX8xveetpub+\/bF5y\/azfW9iAD3Zn\/19kZ5JM90FnUnzbE+KeSRn8IySPLsJRMooTao8vZEI3XKQIp\/74A8szxNnsQdwj3SBgrfERkg+Y314DI2dGP4TnltQzbnX7S0Rja3MF5S7bG2MpI6vHnZdOKlX\/pwQhmpOwsC2FTxcS4b9SXIg237CLfm6I7ciRPLfWJplwA2bMiVsgivtTPnNlQr1IFM6B8KjTpBUUA61J3yTGe+Bpg0cNT364iM5ZzvQs\/lEZbyJl7SSD24FoVfgK5YSrGQ3T1fe3QMSTvpqI6MxY4j7POB0CaM+uI3fuune6xzPWxHIsNBuh5SuLXsm9LRKNqgeGQiQ2OROI5OJixEhncGPn4QhHeJzLqtSKeQLQW14h4FNt6l2urUQgR+U67kk0oF+g6ioR4jMsqvHOUboBN2Kc8C8ughccVuFegQH3lzsX1OVnOrw8VFe\/7sWVs\/3LWzC68U3765aXd323b99lYcxV2ttSlL6gZkMAPxM1Iclg8IV+AJgaVEDaboY1S7ADxTp6Sd7wnz2DM9wTvOBIM0IDJjmym\/Ct8TGZxm0IovECfjPge2D6OpAH5Vd4SYcBgEPyIy0fwm7cThe7gHuDrlrdPRJkq8a3lY\/T7ZaTpQCabswux3El6yQwW6UJ8QR4BjGCkLwC+lUD7Uqw73itMErzr7xOlXjZupbTdTZpw5Gew3je2XtjLuHeLuCCP+EbbHnaSTcUg6fCcflmXrezhQ8uDnEL8N4+TUp4lNbt6t8TxOVhRLXGeVZfL93\/kjMboYe8r1kicdkSFyYLZgBqNw3N+CqjQVpkIj0gGpYAak0qzBT1djYlKdS7gjjUdHGGeeoBPfVLFBV6ArV08cKvwxIDNZb+6rYce4B\/XrZveeyPCe8uV77wCt\/wsGf8lSPMCJKy6GdKbcP33n+4K26MnAuoKHowW8pDG0CUDc4cVji7YHDspSccYye5AhhFOxapmTOOmnxOmhT7fvz8Tr08nsDRykOTal\/ONoF8GkO7CJNG9qDoYbD+H+\/v7v\/\/4dIkNFUr\/a3ddzBqy+FzHxpgMhKCd+ErUoOzgMDby6wQBh93S+bBOW4GzbD+U6rJPOelF3lP7k4Z1StQe4L8JrORjv47mxsV9Udt335PajPfLcL4uGdlJc4yh+EA2eKT+7m8geEXr344E8+uekT1iLM6bt5YtXbbFATrNWXxAuebpMHbd6jJMFtDnlAWTfp\/yBR4nM7NFttdbuNqgfs\/OELOSkdDBorLHhKAQFyzPQFxrQmpdUiPMIkZlMUymznvlG49FxykOU8t3K9kSmn3lQ70bZr0eUY0j+hDkeGClDGhrHe9JjHgwchJH+gNuD8sPhsfZ92N6KwFBE3X+NvsRk2h52o4C6zzNlAHgHwsn0foLaNlf8ri0RxEc1P+nGvQ\/676krRBI\/3o2Elc77ZtlugBGeeHGCIyLDCXv6jjKCuJoYvobIRGeKtBM+absc3OGuNxEZZC8QGQzmI3dasjy5f9sWi1m7e7AgvM2XbY3cqRsuQ3nBrZIRQmS0zHqEyAj\/isj0yyUgZU87xi9tyXOgf2apSnjqSvqEhcjQfiEy\/VjrIX2VtiUeinMwDIxn3ftdh1+TBr9aBVR\/hgsF+pUbuI0\/30klaaguv\/m7RWQ43Yy5BRrkYSxkX8G9tPvQPPSVnWHH++USDZAMArynkCS3zfUlR5xMAOt2RogyMFQDFIfRc9bq27WsnSh8uCTBkTxpBNa\/YzkCfb58i+sFv6lTnsE7hlTqhWOrPRB\/yv7A+aw6N8Usu1xwh\/hO29iYagQPmQBygK6\/xoA0+nzzjD\/gpZIeh2+AhZu0aeRbNodwMls9SmR6eOw9fqq78jWXiVwunCEOHZ\/HIIqEei4kP8jnYLnENOj+TH7kgYkMmohaHhCZNvEmQA2ILDdIf6wj92UqUrWzBz1a1ovZidyvf\/uyPayv299+9mW75W5tBt1k1jY7jmUo+QPQdS0MInSLwPVfgsikbHEuowPkGf\/HoOdkaB+evQSyUmOvqgEkXYDxw3v630RA4tvicCGd7xKZ7FAlXsombk1PWFAw\/iJIx\/yrZF46yMwp7N\/5wz0q48z06mR2IHZeFpGWE\/YgQdOThmOQ4x8rb\/9fa2fUW8dtROFdSU5q1EEKJwb60iJA7LhPCZr0\/xfNP2mB9sVp3MCxZEW69xbfOTzLIb03StEcgbq75HA4M+QOuSR3l2VfPClpvDg5k2X01PySN8rqd9p+Dk2C6dzzWBeWFzHgI42imODNPWAQPoQYwHMRx+VRG8ZpH47KvFju7yKLy4gs0Bu8HKmvlIQ3AdunjE5v08FQMpTenbh4eeyTPHcH9x6QyJ6H0\/Lu3Y3khR70ixF7ducZZEKu282ypWzi4WFnw22I6w8ZSKdRcg6Sp+oUvuFJmuO8XZ93\/lAvUr28x4eQBk3gQstQOnYmHrFC00wq+InslreAieWQWS+f1U2DkVVOqHQUBpPBvDNH5lBHwoOrH33wm+XF7z9d\/vP638s\/v3+th3FvLi+W2\/VCox3kROauv2WLHkMnV2xZUeuF4xr26KMfoSJOZuZDu0zdImOwxxvU\/Hbdtkni4bHVU5Gh8prLYS6S55zq6E\/dwMsXX59wEGLUlrCXdfwU63a8+gJI4dzT0VAp7M2bH0TDJzx\/zsmI\/7T9HJqRru2dYYuD5ns8TMOIKY8eC3opUiqKtMTlYoWW+0qgi\/WUilLUJgt6bchK28Sfe18aFQH6yEW5oQHbcZt0rekEKoI4ffLk+nrTh1dV8Eta7GwZupMh3SDNfJAD2uQF4RF67FEbYuSu+g02aHokf81HXOKTt\/IZji8tXxC96oRw6gq4vhw\/oE1Kyqzbt764ZdGPSbT7yk5m8FwN7G3WPiE6Kurmp8Py9LdPlsfraXl3e71c3x+WG\/barMvyE0\/PY5\/mZCTzjpOpsle9a3xoCbGd5R\/tF0AfGtKCc05mb3IWJG7GXO8g5\/xGds6RJai8ajnwwx8Qx+pVIH4eydz5642qRITty8ogx3EyKTjxjju0CyXvsrWTyUinC+d5io1nq7h67l2HrY1oLsFy0LiBJ7p6oyUfIG+MQxz0fCfm1atX6s1dBo3LF2F6zJRdjVnesik+kkv8e08MkjcXb+JCj5NBptAkngsBR8XEJpWy2bN85A6YXlw33tjLaZRn+aFLvjpqqL+kVznJE36bXMUGHBNIJ8DXdT3aLHmTNgdevh6ZOE+e+oWH1G2Q+AFl5QN6yUADT3Q7Vxk4m51JcW5rNcegPXqrbpker1fLcb3TnCOPq\/CK1QP1pVUSb1QMn9lW\/NIeg6QlBDVfbEeotKlXUOlqnZxzMr7dDI31BqGdkXwg6ZyHb5W3Yj4P6PyZDkgbq9COX+6gYOoLkWc++kUfxSUAu22LYlwkOBbT2BB+S1kTpNyjQ69fKro9GTrEF6U9ioAHSnr+Zksr2NOXWykQYzx79kwX8c3N29Yw2VmUiuqGJdQyuO3TX+MTmoyIZsz50wDprRNfL0gauW3u8gPf2XR6jn3eKx27owtm5zw06UmY\/Ks8AxpAHQGCPbqAtDgW8qT8mr9eACA6kY9jftE1eZExXyG4ux0nuUMDT0LaHnH6LW\/kQ3\/TH\/UYRWTKL8vRPP4Qnhu0vN86Pxx6e3\/0\/cVxub\/0LZxGuwdGSMflSIfW8uS2iDKQDxlm\/VNe5EyodHN6lbHGBfW4LmGPGPkHsw0Dypgx0\/wvqPzgEz3Qe\/3s86\/kZDQJ25zMqjmZboQtg55F6ufMJdCgDSspnagpOZN8BAov3RrB5GSC8ATZJ0PQroY2b1IR4+0BJaOolBTv9NK0+O5k4IOMTGJGRuDJTfOBJse1Mit6OebBuWRoTiOyhE91MhuksuUGceAOfYI1vQXyZtJd2Vsjqbap\/MnHBZ5yw2+QoYC0OJmcz\/QpExCfCy9lcK7Jz5aX+DiZOiFMfGgI4QFSRnUy3ZY8mtKfHuZPTs0tbeO3IcfU9eGk5+I+YBvBpR\/TUCVotco6spzNXAPleRXH+hEyNykdG5A5svMbeasMNT5pCXv0I861+25L8s84z6\/jHM0ev4dQ9Vg\/e\/4VY3onaHv\/slyd+pxMGgvhXm8wc3Ajd8MwzEMTyM3JMJOfStl6gcnJJH\/46jjPRD0wkjmH8ExlAtorsswjGS4iaEZdbAsacOJmPWfEHiANTDoyw150c7m\/bCRDvHmSv1+ExFkXUQ38q84zIh88oKvl7gE+cTIpm3COf\/gSopvkLA+h0g7iZFozEaALDQgPkLjqZELLyJmHKyJTaNcTz9d1xxyoTBwMIxm+gMEnWI7Lcn2409Kr2lxurVlNXcfJ8SD6RccaDx3xqQtCzVvjk0Y4R895x8NOpgKeQewJKv9gLw7UfOcwy5ug8xd\/wslwsfW3cnHfxz0WGV1A6zmO7DXJA1rs\/hWx3lur1YXltDy6YmfvhW4Tbt+y96A\/PUplsBrBlu3xVqsLlsoD6qXUKqgAy0KKBD6zIxcgd5c9ce3ZldYATMOUTy\/LCzjhaxrpPRiwH6ccArqhU0YZG87dXm1HIy6ylD2A8VyPpzx081v6m12KDU4M75vMQ3wZBRHPry720tDrcc7nOK0lS4NmmywYTNsHsB2BzZs5RtbcSrHgQFycWMB1kbK6g8OV0CFQpzhx6K0b84C+nXR9Smc5Cl9gOi+OLOcBZzz9Tjp8SUY+yvYqo2WrMobPzOsoG\/BMEvy84AAN9Rq9K2r+6DzznGmCHk\/9tEO2K7Rv2aPYtjVCOnYnBiovsM97PK6Y8weVXm3z+csvaSV+SpTuVb3mpS4YETSPrAxMkPGgmgzhyiBdTqYZiDfsffzx75Znn3yy\/Osff9ftFKsnDDVJZ4h5ff2j+IdvAK+UCa2M0vaCpIFqOEylFyczI7JUZZnc9lPmfQRG4MKwHH7dRHoENm0Rv9E11DZS0\/vFMDWSX8PJyNAuOLLERiA2C06HceI3QEbqAscPqpMBsvcZJwN6vC+krffMgkHZxDmOELstOe+jo37Ruw6M6mSAjxkRQRsn04ilJyfInfcFj04GVF77WLWNgFsjbTLNaLx0KlXGyB3bbFg\/VBpbEVitAnS6jN73nEyVx3pO7UcylLot9GM8fEmjDhXjOmmOP\/mqzJVXsEf3\/0B8Pv\/iyxOrLWZI6MvJcQwYB6egVwa0t+hVJ4Nv4jcGZMWEBnz\/7ka\/gAk\/Ri4ZBcEbByS+BW6UVnRriG2LtuTacTKzsTif45CXxwrgUR1CX2nyR7iqk2F0kw1ngXemGhuPtucEGW2bUjm\/kpNhohJQVmyh3avF7qQBlv3p2tSocSKKdbrqq8lcnUzi6nHOExJ3lM2wU9O1OZnDfdc7F6Tz2YkQXP++2NiNzG\/SBL2Wots2oB1wf\/O+k4EuKytOc+9NK+krWsiBrpRT+QZ64Xe7tYcux+ZpSNeG2L7GGY8lI53p\/T2PjsSR3g4j92Dk2W1eMdMEYzx8SUN+2oY3YNY3KoAq82yHyu9cmRWVpmKmX5+\/\/PMJD54RTBUCR5CKAXpFYesdqHQmHt3Y3UNByzJWeOR5HtIJW\/x0ywFquaFV2e29oSkjdHpdZeNbKy5xhPHce28AfAO29CtdFwzpTde2VR1k1OUG2p1GLhjt5GUXcrtoodv0KfSxI+jcrXvk3XcyIuqnm538m\/wEjnEyrIwgT+QgICvAXtVmkflcT5vQgdNFl6ZPczL1ob4Re\/XDwnBfXQKO91PYQbflabm9f6fNXnEm4bOs\/hoAxbpzcKeBmdAnPNJ+sAt1FwdAfK1XEDlLlQ3thkcfQkO8aZkc9kgeuX58+2a5vWVhBCbtdafNNqmTcyBtjz7ngOMej01I8+2S8rLG1j4tDZI\/7Tm8ahkz5rjwSJ5fAr0Zz\/eh9Hht6Lx6Jp2KYrPYkycfadTx+vsfNieD54+TyQ0h\/2nc5sEj3zZ8VcJCl5pr6GldERqB2nxbAg2N6Mqu0OQDiUt8P+9OZriQNAncHJZeGm3Z5saFHtalN0ZslIbLbUhkS9mS64yTqU4DkAfkTe8gcbq3Hq99wU6mO97sU4iTAUmTLOU8Dgcgl54jaxdkAF3sN8azL4TzFveAk4kzDEwzOpmab13efzOj+LO1QRPj1Flk45a66aJySPNptjOgK7Q\/72SgJD8HdjrE1Q4xNhRO46Sy7H55ufzhjy+Wb77+y\/K3b\/+6fPfdK72niVfLLie\/UjX0qYecz6i2z\/lMz3GP706GXztf38KSDpK\/OsWK0FXsxUWumlZ5DdcXPJ5\/8Y3aoypAToZJkP59FoZ4T38ewHIAAAEYSURBVJ8+1UWkSdLmZHj\/R5wML59CcJBGYQF6D0JFOx4hu0ARtOfpQtIIMvGLLIFkVa81xoPEEaDr593JVLTpC\/d8WsK0bDTkAD7oRahOxk7QZaBfJsvBps9EH+QTMCAygqv2OZoaB5uVZZCGxHsU5gsnNpbtsG9rTLU+cgzyCxIPfZXR+nZ7BldXfJ0CO7V6fMDJ1LZMOabByfTvK\/WyRicDHH9Yrj7k3bRUGO2jlaX39bgS\/eoRO6A4kATsQqB80t5zMppP6jZJvjz7BdLGgd\/3YjraDo+IwBPx0IWn\/jWxfWrXEl+bDM9mBwK0e+h2GulzDjju8d3JuNNsiya8jKvUOXlSz5V3\/a2Y4yITQW2toepR4zn\/L98qxraTrq\/YAAAAAElFTkSuQmCC\" alt=\"&lt;b&gt;Milky Way&lt;\/b&gt; and &lt;b&gt;Andromeda&lt;\/b&gt; Galaxies: On a &lt;b&gt;Collision Course&lt;\/b&gt; | AMNH\" data-deferred=\"2\" data-imgprocessed=\"true\" \/><\/p>\n<div class=\"n6owBd awi2gc\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-hveid=\"CAIIAQgQEAA\" data-complete=\"true\" data-processed=\"true\" aria-owns=\"action-menu-parent-container\">The long-held belief that the <strong class=\"rQesXe MPyX\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-complete=\"true\" data-processed=\"true\">Milky Way<\/strong> and <strong class=\"rQesXe MPyX\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-complete=\"true\" data-processed=\"true\">Andromeda<\/strong> galaxies are on an inescapable head-on collision course has recently been challenged, with <mark class=\"MAeH b6AQX\" data-wiz-attrbind=\"class=hjFsRe_d9\/cFwyDc\" data-sfc-root=\"ep\" data-epip=\"\" data-ved=\"2ahUKEwjk27-aya2XAxWRKxAIHYqnPBEQuJAPeggIAggBCBAQAQ\" data-complete=\"true\" data-sae=\"\">new data revealing <strong class=\"rQesXe MPyX\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-complete=\"true\">only a 50\/50 chance of a collision<\/strong> occurring within the next 10 billion years<\/mark>. While astronomers previously expected a definitive galactic crash in about <strong class=\"rQesXe MPyX\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-complete=\"true\" data-processed=\"true\">4.5 billion years<\/strong>, advanced computer simulations utilizing data from NASA&#8217;s <span data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-wiz-uids=\"hjFsRe_dd\" data-complete=\"true\" data-processed=\"true\" data-sfc-inited=\"2\"><span class=\"\" data-processed=\"true\"><a class=\"H23r4e\" href=\"https:\/\/science.nasa.gov\/missions\/hubble\/\" target=\"_blank\" rel=\"noopener\" data-ved=\"2ahUKEwjk27-aya2XAxWRKxAIHYqnPBEQy_kOeggIAggBCBAQAg\" data-hveid=\"CAIIAQgQEAI\" data-sb=\"\/url?sa=i&amp;source=web&amp;rct=j&amp;url=https:\/\/science.nasa.gov\/missions\/hubble\/&amp;ved=2ahUKEwjk27-aya2XAxWRKxAIHYqnPBEQy_kOeggIAggBCBAQAg&amp;opi=89978449&amp;cd&amp;psig=AOvVaw1Ad2eUl8vgtA7ZogBB8DKI&amp;ust=1791657169604000\" data-processed=\"true\" aria-label=\"Hubble Space Telescope. Link preview. Site: . Title: Hubble Space Telescope. URL: https:\/\/science.nasa.gov\/missions\/hubble\/.\">Hubble Space Telescope<\/a><\/span><\/span> and the ESA&#8217;s <span data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-wiz-uids=\"hjFsRe_df\" data-complete=\"true\" data-processed=\"true\"><span class=\"\" data-processed=\"true\"><a class=\"H23r4e\" href=\"https:\/\/www.cosmos.esa.int\/web\/gaia\" target=\"_blank\" rel=\"noopener\" data-ved=\"2ahUKEwjk27-aya2XAxWRKxAIHYqnPBEQy_kOeggIAggBCBAQAw\" data-hveid=\"CAIIAQgQEAM\" data-sb=\"\/url?sa=i&amp;source=web&amp;rct=j&amp;url=https:\/\/www.cosmos.esa.int\/web\/gaia&amp;ved=2ahUKEwjk27-aya2XAxWRKxAIHYqnPBEQy_kOeggIAggBCBAQAw&amp;opi=89978449&amp;cd&amp;psig=AOvVaw1Ad2eUl8vgtA7ZogBB8DKI&amp;ust=1791657169604000\" data-processed=\"true\">Gaia Mission<\/a><\/span><\/span> indicate that the timeline and final outcome are far more uncertain than once thought.<\/div>\n<div data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-hveid=\"CAIIAQgQEAA\" data-complete=\"true\" data-processed=\"true\" aria-owns=\"action-menu-parent-container\">\n<div class=\"otQkpb\" role=\"heading\" aria-level=\"3\" data-animation-nesting=\"\" data-sfc-cp=\"\" data-wiz-attrbind=\"aria-level=hjFsRe_dp\/fLk2Md\" data-sfc-root=\"ep\" data-epip=\"\" data-complete=\"true\" data-processed=\"true\" data-sae=\"\">Why the Forecast Changed<\/div>\n<div class=\"n6owBd awi2gc\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-hveid=\"CAIIAQgYEAA\" data-complete=\"true\" data-processed=\"true\">Previous mathematical models treated the Milky Way and Andromeda as an isolated, two-body system. However, a landmark study published in <span data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-wiz-uids=\"hjFsRe_ds\" data-complete=\"true\" data-processed=\"true\" data-sfc-inited=\"2\"><span class=\"\" data-processed=\"true\"><a class=\"H23r4e\" href=\"https:\/\/www.nature.com\/articles\/s41550-025-02563-1\" target=\"_blank\" rel=\"noopener\" data-ved=\"2ahUKEwjk27-aya2XAxWRKxAIHYqnPBEQy_kOeggIAggBCBgQAQ\" data-hveid=\"CAIIAQgYEAE\" data-sb=\"\/url?sa=i&amp;source=web&amp;rct=j&amp;url=https:\/\/www.nature.com\/articles\/s41550-025-02563-1&amp;ved=2ahUKEwjk27-aya2XAxWRKxAIHYqnPBEQy_kOeggIAggBCBgQAQ&amp;opi=89978449&amp;cd&amp;psig=AOvVaw1Ad2eUl8vgtA7ZogBB8DKI&amp;ust=1791657169604000\" data-processed=\"true\">Nature Astronomy<\/a><\/span><\/span> incorporated the gravitational influences of the Local Group&#8217;s smaller satellite galaxies. [<a href=\"https:\/\/www.nature.com\/articles\/s41550-025-02563-1\">1<\/a>, <a href=\"https:\/\/www.youtube.com\/watch?v=o2x_31dE04s&amp;t=62\">2<\/a>]<\/div>\n<ul class=\"KsbFXc U6u95\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-ved=\"2ahUKEwjk27-aya2XAxWRKxAIHYqnPBEQ-7AUeggIAggBCBsQAA\" data-hveid=\"CAIIAQgbEAA\" data-complete=\"true\" data-processed=\"true\">\n<li class=\"Z1qcYe\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-hveid=\"CAIIAQgbEAI\" data-complete=\"true\" data-sae=\"\"><span class=\"iNqyIf\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-complete=\"true\"><strong class=\"rQesXe MPyX\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-complete=\"true\">The Triangulum Galaxy (M33):<\/strong> Tugs on the system in a way that actually <em class=\"zhvwWe\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-complete=\"true\">increases<\/em> the likelihood of a merger.<\/span><\/li>\n<li class=\"Z1qcYe\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-hveid=\"CAIIAQgbEAM\" data-complete=\"true\" data-sae=\"\"><span class=\"iNqyIf\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-complete=\"true\" aria-owns=\"action-menu-parent-container\"><strong class=\"rQesXe MPyX\" data-sfc-cp=\"\" data-sfc-root=\"ep\" data-epip=\"\" data-complete=\"true\">The Large Magellanic Cloud (LMC):<\/strong> Orbits on a path perpendicular to the Milky Way-Andromeda trajectory. Its immense gravitational pull acts as a cosmic steering wheel, potentially pulling the Milky Way out of Andromeda&#8217;s direct path and causing them to safely drift past each other<\/span><\/li>\n<\/ul>\n<\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec&#8230;<\/p>\n","protected":false},"author":1,"featured_media":79,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10,1],"tags":[],"class_list":["post-78","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-galaxies","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/stargazing.fans\/wp-json\/wp\/v2\/posts\/78","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/stargazing.fans\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/stargazing.fans\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/stargazing.fans\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/stargazing.fans\/wp-json\/wp\/v2\/comments?post=78"}],"version-history":[{"count":4,"href":"https:\/\/stargazing.fans\/wp-json\/wp\/v2\/posts\/78\/revisions"}],"predecessor-version":[{"id":210,"href":"https:\/\/stargazing.fans\/wp-json\/wp\/v2\/posts\/78\/revisions\/210"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/stargazing.fans\/wp-json\/wp\/v2\/media\/79"}],"wp:attachment":[{"href":"https:\/\/stargazing.fans\/wp-json\/wp\/v2\/media?parent=78"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/stargazing.fans\/wp-json\/wp\/v2\/categories?post=78"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/stargazing.fans\/wp-json\/wp\/v2\/tags?post=78"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}