Sinus- und Kosinusfunktion

Sinus- und Kosinusfunktion
[br][br]Sinus sin(x) und Kosinus cos(x) ordnen jedem Winkel x einen [u]eindeutigen[/u] Wert zu (dem eines Seitenverhältnisses im rechtwinkligen Dreieck). [br]Da diese Zuordnung eindeutig ist, kann sie auch als Funktion aufgefasst werden:[br]die [b]Sinusfunktion[/b] bzw. [b]Kosinusfunktion[/b].[br][br][img]data:image/png;base64,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[/img][br][br]Wie sehen die [b]Graphen[/b] dieser beiden Funktionen aus? Welche [b]Eigenschaften[/b] besitzen sie?[br][br]Mithilfe des Uhrzeigers, der mit seiner Spitze das Ziffernblatt (Einheitskreis) gegen den Uhrzeigersinn und damit die Winkel im Bogenmaß abläuft, können wir uns den Verlauf der beiden Funktionsgraphen überlegen.[br][br][img]data:image/png;base64,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[/img] 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[/img][br][br]
Die Sinusfunktion
[br]Zuerst untersuchen wir die Sinusfunktion im Intervall [0;2[math]\pi[/math]].[br]Betätige den Schieberegler für den Winkel [math]\alpha[/math] von 0° bis 360°.[br]Beobachte genau, was dabei passiert.
Wie genau entsteht nun aus den Überlegungen am Einheitskreis die Sinusfunktion?[br]Tausche dich mit deinem Sitznachbarn aus und erklärt euch das Vorgehen.[br][br]Als Hilfe dient dir nachfolgende Grafik.
Der Sinuswert zum Winkel [math]\alpha[/math] gibt ... der Zeigerspitze an:[br][br][img]data:image/png;base64,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[/img][br]
[br]Stelle für den Winkel [math]\alpha[/math] [math]\pi[/math]/3, also 60°, ein.
Trage im KOSY (Koordinatensystem) den Winkel [math]\alpha[/math]=[math]\pi[/math]/3 (60°), den der Zeiger überstrichen hat, auf der x-Achse und sin(x) auf der y-Achse ab.[br]Benutze dieselben Farben wie in der Grafik, d. h. blau für den Sinus.[br][br]Übertrage nun die Sinusfunktion im Intervall [0;2[math]\pi[/math]] in das KOSY auf dem AB.
Die Kosinusfunktion
[br]Nun untersuchen wir die Kosinusfunktion im Intervall [0;2[math]\pi[/math]].[br]Betätige den Schieberegler für den Winkel [math]\alpha[/math] von 0° bis 360°.[br]Beobachte genau, was dabei passiert.
Wie bei der Sinusfunktion wird die Einheitskreislinie sozusagen "abgewickelt".[br][br]Der Kosinuswert zum Winkel [math]\alpha[/math] gibt ... der Zeigerspitze 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[/img]
[br]Stelle für den Winkel [math]\alpha[/math] [math]\pi[/math]/3, also 60°, ein.
Trage im KOSY den Winkel [math]\alpha[/math]=[math]\pi[/math]/3 (60°), den der Zeiger überstrichen hat, auf der x-Achse und cos(x) auf der y-Achse ab.[br]Benutze dieselben Farben wie in der Grafik, d. h. rot für den Kosinus.[br][br]Übertrage nun die Kosinusfunktion im Intervall [0;2[math]\pi[/math]] in das KOSY auf dem AB.
Eigenschaften der Sinus- und Kosinusfunktion
[br]Jetzt kennst du den Verlauf der beiden Funktionsgraphen, zumindest im Intervall [0; 2[math]\pi[/math]].[br]Wie werden die Graphen über das Intervall hinaus weiterverlaufen?[br]Hast du bereits eine Vermutung?[br][br]Betätige den Schieberegler für den Winkel [math]\alpha[/math]. [br]Beobachte, wie die Graphen für den Winkel [math]\alpha[/math] mit Bogenmaß [math]\alpha[/math]<0 bzw. mit Bogenmaß [math]\alpha[/math]>2[math]\pi[/math] verlaufen.[br]Was fällt dir auf?
Fällt dir auf, dass sich ein Teilstück der Funktionsgraphen immer wieder wiederholt?[br][br]Solche Funktionen nennt man daher [b]periodische[/b] Funktionen.[br]Mit der [b]Periodenlänge[/b] wird die Länge (im Bogenmaß) dieses sich immer wiederholenden Teilstücks angegeben.[br][br]Wie groß ist die Periodenlänge (= [b]Periode[/b]) der Sinus- bzw. Kosinusfunktion?
Die Periodenlänge p der Sinusfunktion beträgt ...
Die Periodenlänge p der Kosinusfunktion beträgt ...
Schaue dir auf dem AB die Definitionen zu den beiden Funktionen an und fülle die Lücken aus.[br]
Betrachte die beiden gezeichneten Funktionsgraphen. Was fällt dir bezüglich [b]Symmetrie[/b] auf? [br]Gibt es Unterschiede zwischen der Sinus- und der Kosinusfunktion?
Der Graph der Sinusfunktion ist...
Der Graph der Kosinusfunktion ist...
Lies jeweils zwei Nullstellen der Graphen ab und notiere sie in der Tabelle auf dem AB. [br]
Für Schnelle: Wo liegen alle weiteren Nullstellen? [br][br]Stelle ausgehend von den beiden aufgeschriebenen Nullstellen und dem Verlauf des Graphens eine Vermutung auf, wie eine allgemein gültige Formel zur Bestimmung der Nullstellen bei der Sinus- und Kosinusfunktion aussehen könnte.[br][br]Überprüfe, ob deine Formel stimmt, indem du Werte in deine Formel einsetzt und die Nullstellen anhand folgender Grafik überprüfst:[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA7EAAACHCAYAAADA6N50AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAN4cSURBVHhe7P0HlFXVl++L/8Z4443x3vjfN17f7tvv9ut+3bfz7dv961//+hcFRJCcQUAUEFExCyoqIgqKgZyT5JyjkkSCknOGoqgcqVxUUUVFqmD+12eds4vDYZ9z9l67qAI9X50DqL13rbXnnnOu+V3xF2KA6upqKS8v9//LOWpra+X8+fNSWlrq/4k7VFRUSGVlpf9f7nDr1i0pKyvz/8s57ty5Izdv3pTbt2/7f+IO6Kmqqsr/L3fIzc2Vy5cv+//lDtTXtN5e9FxTU2OkZ2DpGjtxi7i4OMnIyPD/yx1MbQN4sQ907FXPlO8W1BU/vHHjhv8n7mBqH/WhZxPbANTZxA/REboyLZf35VuZoDHsw6ueExISJC0tzf8vd/BiH171jH2YAD2hL7d6prznnntOzp496/+JOzyKMRr/M9UzOQN+aPqNTe2jPnzQBJaeTd83KSlJUlJS/P9yDlN7tsD74scmMLUPdESdTUBbeOHCBSkqKvL/xB0ayz4aQ8+Acs+dO2dUNs+a2jM6Nq2zF/sgf4fvmODatWty9epV/7/cwUv+Dkztw4tteIkdPHPx4kW5fv26/yfOESWxEWA1JqbGFCWxzmHp2iRBipJY56CuURLrDFES6w5REusMlBclsc4RJbHuECWxzkBbGCWxzkG5URLrDFES6xw8EyWxEWCaIFmNiakxRUmsc1i6NkmQoiTWOahrlMQ6Q5TEukOUxDoD5UVJrHNESaw7REmsM9AWRkmsc1BulMQ6Q5TEOgfPRElsBJgmSFZjYmpMURLrHJauTRKkKIl1DuoaJbHOECWx7hAlsc5AeVES6xxREusOURLrDLSFURLrHJQbJbHOECWxzsEzURIbAaYJktWYmBpTlMQ6h6VrkwQpSmKdg7pGSawzREmsO0RJrDNQXpTEOkeUxLpDlMQ6A21hlMQ6B+VGSawzREmsc/CMMYlFSW4Fg7IU7EZQKg1RSUmJrrTdPeGED4NR2V2LJHwcGkK7a+GED8NzOILd9UiCnjAKu2vhBP3k5ORoEmuiK+prWm8vesbhTfSMWLrGTty8M/cSLNLT0410hW2Y2DPixT7QMWJSZ0vPlG93PZxQV/ywuLjYqGyr3nbXwompDyKmtmEJNu3WDykHHaEryrW7J5JQZ76V3bVI0hj24UXP3B8fHy+pqalGdfZiH171jH2Y1Bk9udUz5VAeJPb06dO6Iba7L5RYz5v4INIYMRrB/6i33bVwQjnkDPih6Tc2sQ/KtXzQ7nokqQ89m7wv9U5MTJTk5GRX34h7Tew5UHgWP7a7FklM7IM6e9EzbSEkluTZja4Q7m8s+yBfaUg9I7wv9YXEmpTNsyb2jJjq2Yt98Cx6hu/YXQ8nPJuZmSmxsbG21yOJl/wdMbUPL7bhJXbwDCS2sLBQ/y67e0LJL3hZN8ILktgVFBTov9vdYyfcS0N05swZycvL0wZpd18o4XlekGDjplyE+xlRyc/Pt70eTvgoPEfd7a5HEvREL5/bOmNMkDICrFtdIVa9+dPueihpLD1bYunaTdnoJyYmRjfcVgeLU6Ecy57trkcSU/ugXHTc0HrmWeqMH9JJYuKHJvXmXvRsahuBenZTriXYtFs/xAfREboyLZc6863cPsv9jWEfXvSMLV25ckWPxpr6oal9eNUz9mHyrKVnN3EW3RBv+vbtK4cPH9YNuN19oYRyGytGm9oH9+J/1NvuejjBrsgZ8EOTb4yY2Af3NoYPIpaeTd4XfZE8MzvJjR9SDt+Vct3Yc6DwLH5soi8T+/CiZ57lPZkNkZWVpeO93X2hhOcbyz6IHw2pZwS7or50vJmUzbMm9sz9jaFnnjXVM35HJxKDUG6fRbz6oUm9uRcdm7aFpnXmWZ6hc4TRa7d+2OAjsVQUo7K7Hkl4WRzJ7lokMe3lJ8Hg43jpEeGj2F2LJCTQly5dsr0WSaivab296NlL76Kla+zE7no4sUZi7a5FElPbQLzYBzr2qmfKt7seTqirNRJrdz2SmNpHfejZxDYQ6mzih+iosUdi7a5FElP78KpnayTW7lok8WIfXvWMfdhdiyToCX251TPl9e/fXyeEbnuekUcxRuN/pnomZyB3MP3GpvZRHz5ody2SWHo2fV9rJNbuWjgxtWdLeF+TESDE1D686NlqC0ne7a5Hksayj8bQM0K5jTUSa1pnysSm7a5FEvJ3+I7dtUjidSSWOpvklYipfXixDS+xg2cYsINA210PJ9E1sRFgTSlAWSZATxiTCaJrYp0juibWOagrfkhiaAJT+6gPPZvYBqDOJn6IjtCVabm8L9/KBI1hH171HF0T6wyUF10T6xzkDPih6Tc2tY/68EETWHo2fd/omlhnoC2Mrol1DsqFxJqUzbOm9oyOTevsxT7I3+E7JoiuiXUOnolu7BQBpgmS1ZiYGlOUxDqHpWuTBClKYp2DukZJrDNESaw7REmsM1BelMQ6R5TEukOUxDoDbWGUxDoH5UZJrDNESaxz8EyUxEaAaYJkNSamxhQlsc5h6dokQYqSWOegrlES6wxREusOURLrDJQXJbHOESWx7hAlsc5AWxglsc5BuVES6wxREuscPBMlsRFgmiBZjYmpMUVJrHNYujZJkKIk1jmoa5TEOkOUxLpDlMQ6A+VFSaxzREmsO0RJrDPQFkZJrHNQbpTEOkOUxDoHz0RJbASYJkhWY2JqTFES6xyWrk0SpCiJdQ7qGiWxzhAlse7wcyexbGwxffp0ncCEA+VFSaxzREmsO0RJrDPQFkZJrHNQbpTEOkOUxDoHz0RJbASYJkhWY2JqTFES6xyWrk0SpCiJdQ7qGiWxzhAlse7wcyOxlGk9y/FCAwYMkObNm+udKcOBZ6Ik1jmiJNYdoiTWGWgLoyTWOSg3SmKdIUpinYNnGpTEUlmThBAQMEwdF2MydVyMwTTYmH5UgJ5MHZczlzj/1BSm9faiZ4zRVM/AtM7xKmm8ZtgQebENYFpndNxYek64kiC3q8wCpKl9NJaeAXU28UOSZ2KWKXhf04SwsezDi5452sO0M8mLfXjVs2miYgE7+eCDD+TLL7+Ud4cOlZQIRJ7SnnnxRTkXF+f7gUs8ijEa/zPWs3pVYpYpTO2jsXwQoGdTm+Z4HY66MoEX/+d9TRNvU/tARyaDKhZInk07dBvLPhpDz4DanouPF5OSTX0QoGPTOlOmqU2Tv5t26N4ouCEZyWZtIWgMP/QUoxW81JnjRDnS0C1+QY+xW6GnnV4+u2vhhOTmxIkTupeQXgq7e0IJ9xOUEbvrkYQzRE3qjNAgUHe7a5GEMtGX2/fl8G16cThH0O2zCPU1qXdj6hmx6pyVlyfZqmHJuX5dcnJzJUddy1F2k33ypGRu3SoZS5ZI+tdfS+rYsZKqEsfzKoG8/NFHkvbVV/rfaRMmSPq8eZKxbJlc27lTss+elRz1Tjnq/XL43cpZstTvvqZ+d1o91dnuWiipLz3ze3JzcqU4v1gLZwtnZGVIXGqcHLx0ULad2ibrj66XRT8ukpnfz5Svtn4lX36rEu3F78qnGz/Vf5/63VRZ8OMCWX1ktfxw8Qc5HntcLiddlvRr6b7fXVAs1/OuS252rrZL03rXl23YXYskJn7Iu0LKiFmUa+KHlMt7210LJ43ph6Z6ps6MltEYoTu7e8KJlzo3pp5512JiVWGhTvKGffKJJCYkSI1q0HPVn1mHDknmhg2SsWiRpM+cKWljxkjiZ5/J5F//Wo69+aak+2NY2pQpkrFggWSuWiVZe/dKttJjjvr9Oer35+Tn+2KWKuOa8nGrziY26UXPiGm8w/+sOufn5Ou4ghCziDWXki7J3vN75dtT38rqw6tlwQ8LdGz6cuuX8ummT3XM+uKbL3QMm7l7pizav0g2HNsg205vk0OXD0l8arxkZmVKfl6+TiCL8ot0zKI8U/tobD2b2jQdb5Azt37Id6Vcu2tOxIsfWvZhdz2cUJ5JnSmT9z2pcgpmkJjErMayD55DX3bXwomlZ56/lp2t4wlxJaegwBdnVJ2yY2Ika98+yVi9Wsej9KlTdXxKVbkVcev0u+9K8hdf6H8Tz4hrxLesgwclJy5OcpROc9Tv5neSw+mYpX63qW0gXvVsatOWnrENHbNUjkVcycvJk9RrqXIu4ZwcvXJUdp7ZKcsOLpN5++bJhB0TdMwasWaEfLD8g7qca+y2sTrP2nJii77/5NWTkpSepGNWXm6ejlnkWTlZObpskzhrial9WHq2uxZJTGOH9U3xQ86Zd+uHv4AouRVGB5nmanctnHDw79GjR3WSY3c9klAmZdtdiyRM9TKtM/XlT7vrkcRLnZm2cfz4cdtrkcRLvRtDz1cVWYhTDhCj/ryqHPDy4cNyevFiOaUC5Zn33pOzAwbIuY4d5WzLlnKmaVM587vfyen//E85/e//Lqd/+Us59W//psX6t/7zN7/R951p1kzOtmol57p1kzMvviinFeE9OW2anNuyRWJOnZJYVR7lximSfFUFYdv6hRAvekbHJnpOiE+QpPgkSYpLkpTEFDl+9ris27NOpmycIkMWDpFnZjwj7Se0lxZjWkjTL5rKH0f/UX776W/lP0b+h/zy419q+bcR/yb/9vG/6b/z8998+hv5w+g/SPMvm0vLMS2l7fi20ntab3l/yfsybdM02fzDZjl5/qSkJqXqsuOvxkt8XLxt/UKJsW0o8aJnxNSmSQSJWV7K5b3trkUSU/tALF27rbdXPdMQnTlzxvZaJPFiH171bFJuHLFKxazL6k9IpqikrUAlcrM7d5bL778vaW+9Jec6dJCzLVrImccek9O//a2cVsT1jIpNJ//1X+Xb//pf5dA//qOc/Y//8MUs/iRm/eEPcrZ5cznbpo2c7dlTzrz6qpz++GM5NXeuXNi5U2LV97miYtYVf8y8qhp+u/qFksbwQ2JWYlyijh3ErP0n9suy75bpmDV0yVDpOa2ntBnfRpp/1VyafNFExyJiko5Zn9yNWVb8+vWoX+uY9sfP/6hjHLGOmNdvVj8ZuWKkzNoyS8fEMxfOSFpSmiRe9ZVNPezqF0rqwwftrkUSS8+mNn1KtWt0gNtdCyde/b8x/JDyqLPdtUjCex47dkzHebvrkaSx7MNUz8Qs4sYVFTdi1e8gnpyeP1/HlzOvvSZne/WSs23bytknntBxiHik4xLxiTxLyUlyLf+/iWfENeIbz+hn+/SRM4MHy2lFeE/Nni0Xdu3SMSqGWKXEJM8ytQ3E1D6IFeQ5KQkpOtc5dPKQrNi1QsatHyfvL31fek3vJa3GtdKxp9kXzeR3n/1OfjPqN/KrT36lYxb5VWDM+vdP/l3HtMc+f0yafdlMnhz7pHSe1FkGzBkgw5cPl6+/+Vq2HdgmF2Mu6jwr4aovz3ObZyGm9lEfejaJHZYf0vlmdz2cNMp0YtOpHwxzN8bUDS9D5D+36cTASM9KRzUqMctbsUJyFXG99vrrkqwSwESVACYoEpqgkrokRWKTu3eXlKeflrQXXpD0V16RrI8+kpzPP5dLKmG8+u67kjN6tGQruTZsmKQPGiRpAwdKSu/e+tl4FWTj/b8r8cknJU0F26y335a8mTOl+MgREcN1E6Z69jIVKaMoQ9afXC9jvhsjg9cOlqfmPiUtp7SUxyc+Ls0mNJPWU1tLt9nd5JkFz0i/hf3ktVWvychvR8pn2z6TT7d+Kq/Of1WGbxguo7ePlnfWvSMvLXtJBiweIM8ueFZ6fN1D2k1rp3/P4xMe17/36QVPy5B1Q2Tqvqmy78o+yb+hknaX8OKDwIsfYtMmfsgaD6/TiU3hxT5AY8Q7ZtnQI2sCr9PrTIGOjaZQqdheqeJz3rp1OgYRk66qJG7XX/6lnFfJn441rVpJUrduktq3r6S9+KJkqLiW8+mnkvHJJzLnV7+Ss4qg5n/5pWSrhC9Txa+0l16S1AEDJPmppySxXTuJf/xxSUCIf+p3pz/3nOQMHy55ixdLydGjIgbTr0Bj+GFqQap8d+k7mbRnkry88mXpPKuztJjcQscs4gwx56mvn9IxiFhETCI2EaM+2viRjlmjvh2l49cbq9+QF5e9KP0X9dcxjljXekprX8xSv4+YRUx8d8O78vXBr2X7+e2SWRR+nbIdGssHgRc/tEZiTOClXN7XdMqol6mMXuoMgWVDNhM0ln0Y61npt1wl/nlLl0qOyp3SiTUqzhBfiDPEm0QVZ4g/qSrWEI8yVI5EfCK3Sh8xQs6qvCtz5EjJJo69+aaOa6n9+klyjx6S1KWLJKjcKr5pU0lU+VaSin8ZqozcUaMkZ84cKT9zhoWm/so4h3GM9sPEPu6o/xJzEmXT2U3y2fbPdA7VdU5XaT6puTSd0FSemPiEdJzRUXrN7SV9F/aVgUsGyqDlg2TYpmHyxY4vZOiqofLm4jd1zjV6m4phWz6Sl5e/rO/rM7+PdJ7ZWVpOblkXs1pNbSX9FvWTDzZ/INP2TZO9MXuluMI8vpvYR2NPJzaZ1h/d2CkCMAQvC6yjGzuFR2V8vFxfs0Yy339fErt2lSsqiMY2aSJxKgAmqoCYqoJotkryuOfmwYNSfvasVCUkyG1Vxh3WKvgd9b6NndTP76i63Fa2Vqmulf74o1xfvVpyp06Vayp4pzz/vMS3bi1xqryrKtmMVcGWsvJmzZJSVU6tw+TQi32gYzd6LrxZKN+e/1aT0e6zu0uLCS2k6XhfMG0ztY28sPQF+WL7FzLv4Dx936nUU5JamCq5JblSXXs3MFHXwI2dbt+5LTW3a/Tvz7ieIRcyL8jOSztl0eFF+vf1X9hf//7mE5pLs/HN5MlJT0rf+X1l0u5Jsjd2r/79TmDqg8DSs+n6FGzaxA+jGzu5w89hY6cqRdSLNm6UdJXAxXfsKFdUrCKGxLdsKbHt28ua//gPiXnnHSlcsECKt2yRspMnpVrFpjuq3dQxS4Hy7tvYSfklMaumsFAqWKe3a5cUkGyOHy+Z770nyU8/LXGqDGJWLHFLJZsp/ftLzoQJUnb8uNxxmEy7jdGBcGsf14qvye6Y3TqR6zqzq44dxJAWk1pIu6ntZMCiAfLlji9l6ZGlmuASe4hBhWWFOiYRm0Dwxk61t2vlVu0tHXuIccS6Lee2yLwD83SySGKpY9bE5pogU27vub3ls62fyY5LOxwnh/Xhgyaw9Gxq09GNnZyBtpBOyp/yxk7ElHLlO9dXrpTMoUMlTsUs4gdxhHiS1KuXZDAAMHasFCxeLDd27tT31+Tl6WeJSxYoN3BjJ+IZcedWVpZ+hjhU/M03kjd9uqQPHixJvXtLvMqtripSG6skXhHmNEWC8xWh5d7A3x0ObmN0INzaR3xuvCauH2/5WLrN7CYtJrbQMYs8q8P0DvLqild17rPqxCr54eoPcjXnqlwruiYlFSU6Zlm+wzRZRgotQIq5XlZVJkn5SXIo4ZCsO7VOZuybIR9/87H0mddHnpz8pI5XTcc1lScnPinPLX5OJu+ZLPuu7nNFaE390NQHgZfYwTN0JkV3Jw4D0wTJakxMSAqIktj7cVvV6+aRI5qckphdJSFTxJUAl9Cvn2QMGybFmzfrZLGGaXoOEKeS5wwVNJzgtnq3Wzk5ug65U6ZIqkpG4xRhjlOJKPVIUIkohDZ//nxdB2UE/ifvhxf7cNIAVtdUy4nkEzJlzxQ98tByUktpMraJDna9v+4tb699W1YeXykXMi5IXkleXdIXFup1Ll64KKUlkf2Q35dVnCVnUs/I4sOLZfjm4dJzTk9pNq6ZNBnXRI9+MGoyZucYOZt+VieXoWDqg8DSsym5wqajJDYyvOr5p0pia1WSW7x1q1wbPlySn3lG4lq00PEi7sknJUH9O/uLL6R0xw7JVYT17RdflPiA5MUOFcoW+w8YIGeVbTkBMRMiTGdc/qxZkjxokFxV8VInokoSO3WS9LfekoKFC6U6NfyGPk5idCg4sY/SylI5mXLS1wG2qL+0mtxKx4onJjyhYwcJ29YLW+VK9hXJvpGtk7tIKLtZpmPW7drI8a3qVpWkX0+XcxnnZOnRpTpGdpreSR4f7xvxbT25tQxaNki+3v+1JOYlho1Z9eGDJrD0bGrTURLrDD9lEkuOQ8xiJDWxe3dNJLW0aSNJL7wgudOmScnevVKl4nWtw5y8TH2fc0pftxy0D7Wq7axOT5ebhw5pgpyk4mJCt266w0/nWSpmZb73nia9kfI8JzE6FJzYBzHrcOJhPWJKZxeE9bFxj0nLiS3luYXPyZfbv5T1p9fLlawruoPNCbKzsvVUYCeoqqnSM0WOJB2ROT/OkXfWviM9ZvXQ8YrY2WZKGz2Ky8BCYn6i/6nQMPXDKImNAF4ySmKd46dGYhlhKFq3TjKGDNFEkYBKMpiiiGvu9OlSohK0GyromaTPno7YUe97XSWfhStW6Cl9BNe45s21JKngT4JaduqU/+574cU+wjWANbU1cjDhoHy0+SNpP729DmaMhDJtjpGLHRd3yJWMK3o0wi2oK35ouiNjTEaMrDm2RteN+jCqQk9lpxmd9FS/XZd36d7GYHghKZaeTckVNh0lsZHhVc8/NRJbpYgAs0DSXn3VN6IAcVV/0vmW89VXcn3bNrlBR5cfzHfYe+CAFEWYnkh5Xo7YKVex9Pr+/ZLP5naK0NIBqEn1E09Icp8+ekZJ2enTfFD/E3cRLkZHQjj7uFFxQzaf3SyDVw+ui1nEhqfmPCUjvxkpa0+sldjMWP/d7hA8EusGxNLj8cdl0aFFum7EKWIppJYZLYwSkzzaoT580ASWnk1tOkpinYG28KdGYunEKpg/X5JVXhX/5JO6kyu+bVtJVcQ1f+ZMub5vn5Sp3NIElGt6xM5NFbNKz5yR6yrPosMtXpFpckBmsKQOHKhjFrPm7BAuRkdCOPsouFkg2y9ul7fWvKVnbhAT9EyzBX1l/K7xsvXsVsm6nuW/2x2CR2Ld4M7tO3I+5bysPblWPtz0oXSZ2UXHU8h1z7k95audX+n8MFQHnKkfRklsBPCSURLrHD8VEsu0FBJBgijTVwhcTBXOeO89KVy9WvcYWihTuqo1cAJPJFbpqMJfJtOUK1jnpoI9U/WsRoD6Zn36qZSRdAbo1It92DWA18uuy6Yzm/ToAVNXrNHON1a9oacJM3phjbbWVJklONTVC4m9U6N0pf6n9zClIEWPBL+28jVdT91rqBoD6rvtwjYpKr+bHJj6ILD0bEqusOkoiY0Mr3r+qZBYZmDkzZihCSHEEPKaoGLAtU8+kWJFXJk+p5SlxxDLmCbse8wxKM8Lia1UurIWCDBKXHbsmOROnqwTVzrfqK+OWaq+ZSdO+KYF+mEXo53Czj6IWRvPbpRXlr+iZ4jQodV2alt5c/WbsuakivuFqXWdbTp2GMALiQV3bvnKZcTl0rVLehSWmGXVl7VtTB88nnz8no7B+vBBE1h6Nn3fKIl1BtrCnwqJrVZxN3/2bN9MEX8nfGKPHjpmlR44IDV+gsBTxA8TUK4piS1XerKyJEZ+S374QbJGj5bkZ5+tm1GS1LOnnh3HkrFA2MVop7CzD0Y95x6Yq5cz6LX0KgaQb721+i3ZeGaj5JXm+W4kzJk1hZ5ILA2Kld9V3qqUmGsxMnn3ZL20CyLLMjLqC8E9GH9Q52KBMPXDKImNAF4ySmKd41ElseXKPvTf8/P1OgxNXlUiqINq1646cJWfPl23PsyCpWuTBNoTiQ1hG9WZmVK0YYOeWsz6Wch3QseOkvXZZzppVBXW991Uz5roGR1XV/l0ReK0L3afvLbiNT1l2EqsRmwZId/HfK+Tr0BYDaBJwKCuXkisnX0wCrM/fr+urx6FGf+4tJrSSieKjBqzFgRUVpjZlRfbANQ5SmIjw6ueH1USW+l/35qCAsmfO1cnUzoRVHGLNWOs8WI9fjDQE/pyq2fs0QuJDRWjq1JT5fq6dXrdmdUBl9Chg1wbNUoqY32joESqMoP2G/CeleW+clmjteH0Br1GzJqN0XG6jwweiD8gJZX3jkZ7SZC8kljsI9imiVnbLmzTHW7tp7XX9edPYhjr1XRnofrfitFuYfmgCSw/NH3fKIl1BtrCR5XEWpZRlZwseZBXOtwggy1a6M4sRjYrLl2qy1MsePFDyjUlsbrONvZM/QsWLPCRWRWzyLOSnnpKk9lKPwmk5TatM2VaeQcxafXJ1XrzOMggMzJ6zOkhn2//XE8nhjAGgvwdvmMCLyQWu8Smg/NK9gtYe2qtjlnkV4zOsiHesI3D9Ppca4CDept8Iy+24SV28EyUxEaAaYJkNSbBxuQUPzcSS2k3VYNQ/O23eoqItXaM6Xcs5teJVAgjt3QdnGw4wYMgsRbY5OnGtm2S+cEHkuCfApPYubNkqcSwXL1PuaqvUZOvXrP2Vq2eyjZ0/VC90QlBlUSQzZsYFbDIXzCsBtAkYGAT9U1iLTB1b3/cft1DSHAlyLKe45NvPpHD8YcV4TdLNrzYBqDOJn4YJbHu8CiSWFKUspwcvdRBd7gRsxSBTYa8zpjhWxcfAugJfbnVM/b4IEisBdajsflU2ssv15FZnRhOmyZl8fFSbtieAd5375W98vqq1+vIa6+ve8mE7yeEjVleEqT6ILGhnq24VaFJK+SVmGWNcrD+/2j8UbldY6YrywdNYPmh6ftGSawz0BY+iiQWLVWq/LBg7lxJ7t27rsONnItZb+HWmHrxQ+pb3yTWQo16HwYN0l9/XeL9eWNSjx6ajN9MT6+beWKCohtF8s25b+pmi5CX9JjdQyZ+P1Fic2JD7iXysJFYCzerbsq3F769j8yypjc2O9Z4lp4X2/ASO3gmSmIjIEpincNUz+iq5MgRSWbXTkX2CKx6FGP27LCJoAVL1yYJ9IMksRbYEKr0hx/0Tn46MeT9evaUTKa/BEyJVi/i/0t4XM64LKO/HS1stc4261bixEZO4TYbAVYDaBIwsIkHRWItML2FaS7vbXhPB1cSXaYYjtg0Qu/+5xZebANQZxM/jJJYd3jUSCzTbK/v3i1JrCslcbLI3tSpUhk0pc0O6Al9udUz9vggSawFRpaL1q+XVDab8u9snKhicvaiRXXTCzUc1v9ixkX5cP2HumOKxIk18Uxzi8+J7NNeEqQHSWItMBvmcMJhGb5peF0HXMdpHWX8zvF6N1G3sHzQBJYfmr5vlMQ6A23hI0FiA74HuwHnrlsnyQwSKJ8mbqWoWFK4cuU9S7NCwYsfUt8HRWItEJfY7KmuA069XyIjy4qck4PVwaGN0kH19qq39QZzOmbN6qbXu7JJUyQ8rCTWQnF5sd4kj9kwTIvm/VjnP333dLl2/e5Gp0792YtteIkdPGNMYjEsN8JHLS4ulsLCQv13u3vshHtpiDgIPy8vTyvK7r5QwvOUyUu6KRfhfpLRAtWg210PJ3wUzmul7nbXIwl1JkC6rTP6SU9P1wHWra4Q6mtSb+qJjp3quRyjVwZYHBMj6Z99JrHt2smlP/xBYlu3ltSPP5brly5JuQpcFcrA7Z4PFEvXnNlmdz2UoB/O06Xhxgnt7gklvCP27MQ29LsqpylV3zRr2TJJ6NtXYpo2lUt//KMkDhgg+Tt2SJnSd4UKPEzXC36eaXiszcrMz5S5++dK95nd5fdf/l6Pvr6x4g3Zc3GP3CxVjbFqH7g3+HlLqDM6MrFnnkXPJM90kpj4oRP70NN3VHtVUloi289ul8GrBusjgf7w1R/0DqVLDi6R7OvZWh/h3tWSxvBDdIOO0BXlunnWEr4R38rts4F6trseTnjW1D5MfRBBXxxaDpE18UPTGI3wHM870TPLHcqJWSo2pQ0fLldUInhZ+XBcp06SxmZNiiyVqyQtlB9bYukZfaE3u3vsBN1Q374qfhw5ckQnKnb3hRMnPojo91DveiMzU7KWLPHFrCZN5LISdigt+P57HdeI0XbPV5SriKf8OC0vTSbsnCCdp3eWP3z5B338w7tr3tUbJt2qvCV3qu9IeVl4XeF/+KHd9XCCXZEzkDuY+BLixD6IWcQjYtb3F76XV5e9Kk3HNpXHvnpMes3pJWuPr5Xi0mJ9D3qx+x2WWLZhas+Bfuj2fdEXyXN8fLxrP7TyBjf2HChu/DBQuN/UPkz1TJm8L/E9Oztbk1G7+8KJUz8MFu53U2/8E18uUnVN/fBDiXn8cbn82GMS17mzZMyYITdSU3W84h675y3xomfsCtvAD02+sVPbID4Ts0rVN7k2b57Ede+u43NM8+aSwg7se/f6YniImFVdqUinyqFSclNk3I5x0nZyWx2z2kxuI6M2j5KTiSelqqJK+3GkulBn8kO374rfJScn60Eot88iTv2Qd+U9sguzZfXR1fLCohf0Uq4mXzWRPl/3kXXH1+nfcfuWso0w8RmhnpZtmNQZezaJHZTFM3SOZGVlufbDX9Az4lYoFCXbXQsnfFgqiqLsrkcSyuRl7a5FEhwQJdtdCyf0OGHE9MbYXY8k1BlF212LJHxQDgC2uxZJqK9pvdGxEz0zVlOtbCF//XpJ4KicZs0kVgWaxFdekRv790uN+t7cU6MIrN3zwWLpGjuxux5OaLQZAaI3yO56OME2CK5212xFvRPvVaW+T54KsldV8huryGxcmzaSNmyYlF644HtvFYitZ/RCffXn3st75YXFL2jiyjE1bCzADnTFZb4zwO7U3n0mnODo2DM6s7seTrAJ/JDG1+56JHHjh7wPKCkvkS1ntsgzc5+R5uOb6/d/aelLsj92v9TWKG359RNKvNgGYuqH6AhdmZbLN+Jb2V2LJE790E5M7cOrnpkRwQiQqR+axGjEqZ6tmJW3dq0k9OqlYxYkNmXwYCk9dkz7rJuYhZ7Qlxs9oxvssX///nLq1ClNYu3uCydubYN3Qiohs+PHSyxnRRKz2rWTaxMmSOW1a/e9Nz55q+aWfH/pe3l+0fM6OeKYnH7z+snW81ulrNI3isSxN4FlhRL8j/e2uxZJyBnwQ1NfcuOH7AwKim4WyYojKzSBZSZJq0mtdGfcwasH9TeMFLMsH7S7FkksPzR9XzqS6NR164cm9hwovC9+bHctkpjaBzpy1X4HCG0hI/yQFbvrkaQ+YrTdtTpR34+xuIrcXMmaOlUSunaVWGJWixaSMWKElCuSZPm205jlxQ/RM6Tf5Bu78UHEeq8KZcsZn3+uB0Z497j27eXaxIlSqfKvwPfWeYRCaUWprDq2Svot6FcXs15e8rLsubJH2zVwGrOoM3zH7lo4we8YhKJT1+56JHGbv1vr2fJL8vWmdV1ndNVnzTL6zOy3q1m+EeFI+aUX2/ASO3iGATtIsN31cGI0nZgCMWK3oLEmYOD0JsABUJQJeFmM0QR8WNPpNegJQzQBvc+m04mpr2m9neqZHeTY/ZJ1okytTXnmGclbvlxKVcA1BXWONIXCDl6mE3uxDXBdBXU2Tklo21bilR6Se/bU28iz07GFnBvZ+qxX63iHLrO6yMy9MyWnKPL0HzsQJE3rjE3ghwRoE3jxw9TcVJmzf45+/+YTm0unmZ1k2t5pkn8z8nnAprYBqLOJH6IjdGVaLt9IJ7wGQMemevZiH1707GU6sRc/dKrnqvh4yVLJX0KrVhLPGrLnn5e8deuk0rBNQk/oyy2wR6YTQ8xM4MUH+bKFR4/qMxrZsI6Ylfbii3qpRCA4H5qpwtbUWjZAmXdgnqTlmn1f/I96m4CcAT809SVjP1TKunrtqkzcPVEv+0APxKyZP87Ux3OEgxcfBNiV6fuaTic2tWcLvC9+bAJT+0BHpnWmLSR5Jvk2QUPE6LJDhySdqbWKuBKz0l97TfLYId0wr/Tih9SXmGXyjY19UKFK1ZkR2IzBg33LPohZL70kN/fv99/hw6WsS/L+xvf1ulfyC47KWXJkieRd9+827BLk7xbxdQsGoUynE3vJ38HFtIsyfONw37FBKmb1md9HNp/bHPFIRi+24TV2MJ2Yzkq3iK6JjQCMiAbUSxJrGuQe1jWxd9T7XF+/3rcbXrNmktCunWR9/LHeSY7SrN2J3cLStUmga4g1sXYgxLBJym0V1G/s2CEpffvqDRZYy5H9/jCpiLks36cclBdWDJIWE1vojVBeX/m6HE06qo+bMD1ygkbENMhhE/ghvaomMPVD9Fxb7fu2vL/e1RSdKOEg7x/jf9TX7ODFNgB1NvFDdOQleeYbmSZ16Ng03pnah1c9P6xrYm+r73997VpJYhMUYlb79pI3bZreTIRoZXrkBHpCX271jD02xJpYO9Qo/2fqITop3rrVdySH0glnzRZMmiJlWZnyXfJ+GbDUNzWNjUNGfTtKLl/ztUVMHzaxD/yPepuAnAE/NPUlUz/UOva/KmvrBi1XcVzFcGIW8etM2hnfRRtYPmgCyw9N3ze6JtYZaAsf1jWxNapObMSW2LGjJm2cjMBGc6wZpUSOBjSBFz+kvpBYk29s6oMAEkvrfVvFAc7AZd8CK44XTp0uJVnpsuL8Buk+p4c8ocgra/Y/2/qZPgIQVFeY5aTk7/AdEzTEmthQ0Mu0qio1cR24ZKAeOIHYs3N8Qm7ovR682IaX2MEz0Y2dIsA0QbIaE1Nj+qmR2GrlmFkjR+qD/wmsbBhSsnt33TmETO0w0TOwdG2SIDUaifXX2XLbKpU4cARPZqeukvhES9nT4jcy5NXfSqupbaTz/Kdkxg8zpLCsUN/L0Q1eG0CTgIFNNBaJDdRzfmm+TN83vW50mo2tOLutrPr+b+HFNgB1NvHDKIl1h4eRxFZeuSLXhg+v26WXHvzSH+92mFQ2QsNNeY1GYv22YaEqMVGyR30qmR26yFWlnx1tfieD3/i9tJzaWvoseU6fAcuu4xZM7cNLgtSYJDZQz3kleXrmCLGKEY5ec3vJulPr7junEQTr2Q0sPzR93yiJdQbawoeRxFaovC/9rbd8o45K2OTo5qFD/quNo2dAuY1BYtFxYJ2J6dmjRklm+85y5fFm8k2b/5RBQx+TFrPayzMqZm05t6Vul3TLpk3wqJJYdG0t5cq5kSOT90zWx4fRKdl7bm/ZdGaTrY97sQ0vsYNnoiQ2AkwTJKsxMTWmnxKJJfHjzFTIKwlh1uefy63sbP9VH+qj4TZJkBqbxAbr+cS8CbLm938ra/7H/0+W//3/JVO7/1J+PLLJf9WH+mgATQIGdX0YSKwFjuR5ednLeoSDM3I/2PjBfTsHerENQJ1N/DBKYt3hYSOxN7Zv10dQQM7otc+dOFGPvgYCHTd0w015DwuJtXBs9ley+rd/Lav/v/9Dlv3Df5Gvn28usakX/Fd98GIfXhKkh4XEWuBMxpeWveQb4Zj0pHy0+SN9hmMgQunZCSw9m75vlMQ6A23hw0Ri2X23cNUqSezR4+7o69Sp9x2Z0xh6BpT7MJBYjdt3ZO/4D2T1v/0/svqv/09Z/L/+RKa/3kZiU877b/DBi308yiQ2+Bv9EPuDvLDkBd35xk7GLBVhICEQXmzDS+zgmSiJjQDTBMlqTEyN6adAYmvV72EaC4fmkwwSYNnO/Y6Nc9sFZqewdG2SID1MJPbby9ul59J+8tSIP8rk9v8g+/7zn3SDlPvqm1J5+u70s/poAE0CBnV9mEgsyCvNu2f9Xc+ve8rms5v9V73ZBqDOJn4YJbHu8LCQWKbc5UyapIkrvpfy/PNSsnev/+q9QMcN3XBT3sNCYqn7+vObpPviZ6Tn8D/I9Hb/JId/90tJbt1G8t4bJpUBbZAX+/CSID1sJBbkluTKpN2T9AgH6+8GLB6gya2FYD27gaVn0/eNklhnoC18WEjsLWa5ffaZxDFjhPX6rFMPWvNpoTH0DCj3YSCxnJM6/+gi6TS/hwwY8htZ0vzv5chv/lWSW7WV/GEfSVXc3SO/vNjHT4nEguwb2fLVjq/q1gy/uOxFfRSiBS+24SV28EyUxEaAaYJkNSamxvTIkli/497KypLM4cN1UOVMsoyhQ6VCfcNQCA7MbmDp2iRBamwSCwpvFsq478bp9RhPTHxCBqx5RQ7G/iil33wrqb2f9nUAdOkihStWCGe9YRVeG0CTgIFNPGwk1sKPcT/KC0t9uzdzruyEXRM0wQVlN803OqHOJn4YJbHu0Kgk1v+ulRz39c47dTEr88MPpSo1VV+zAzpu6Iab8hqTxHLcAoCIfbHjC90z31zFrBfWvi7Hrh6QkqXLJalTJ717M2tmWe+vAod+xtQ+vCRIDyOJtbArZpeeVswOxh2nd5QFhxboJBuY2rPlh6bvGyWxzkBb2Kgk1v9s2bFjksq5r+yn0bat5EyYcN8st0A0hp4B5TYWia2q9LXfGUUZ8v6G9/WsreaTnpAh3wyT2JhjUjJ7ro5ZLBlJ6ddPbuzape8napnax0+NxILa27Wy8vhKvVEf04vZsG7ViVVSe0fFdPW/qW14iR0806AkFuWYvKiVPJsalDZkQ0KI85gQb4BBmAZ19GTqBF5ILPU1rTebnFBjdn5jBENPa2nXTvK//vqeHXftgCGb6hlQZxPH9UJivdiGhooVV7OvyuA1g/WUWHq5mF52rfjuYdMVKllNf+UV3w6DrVpJ7vjxUqa+r5lleNMzNoEfNvTuxE71TG/hJ1s+0XqkM+DNVW9KXE6c3qzA1A+ps4kfRncndgcvJNaLH3I+Ilou2bnTt+mHillsiFK4aFHEmIWOTRNR9IS+3ILyILEkhCbw0hbqrE7lkhczL8orK17RPfLsYjl171TdEWfh5oEDktK/v9ZlfJs2eiOs2+r76I3sDOwD/zPVMzmDl84kUz906oNXsq/IO+ve0Rs+Mb142KZhkpSXpNsGU2BXpu9rSmJN7dkCejYlKqb2gY5M60x7AoltjN2J8SDOaC7avFmSunbVBDapRw8pWreOivluCoHG0DOgXGKWSdmmPghqb9XqTTCPpxyv6+RuP7293mOkpPJuHlOyZ48+JQMiS2dAwbx5+qjHcsNyyd9NOwu8kFgv+TtwYh+Xrl2St9a8pXMs4v/4XeMlsyBTKdt/g0t4jR2QWJPOpF9EOuvMTlAQyZ3dtXCCs+MABAyM2e6ecEJvLI2Z3bVIgjEyqmJ3LZxgwDyH49tdjyToiQ9rdy2coB/rnFgTXVFfk3oTWDngP2vxYkng/NNmzSSxTx8p3LFD2zZi95wlBEcTPSOWrrETu+uhBP1wHldqaqp2JLt7wgm2YWLPejcnJXsu7pFn5z+rp8F2mNZBFh5cKBWVFfqadS96q8zLk4zPPpOrbNagGqzEl1+W6ydO+HJKl/W29IzO7K6HE2wCP6TXy8S28EETP3TqgwD9LTq4SI9s0FuIfvdc2OPTuVKY3XPhhNjh1g/RDTpCV25t0hLel29ldy2SmOoZMbUPUx9E0BedSSTPpn7oxD6CBf8pUc9lz52rpw8zepjUt69c//57RzELHWMfdtciCXpyq2d0Q3mcE3vy5ElVOzN7NrENQJ3XH18vfeb10WdV42Orj6/W9QL6XvV39HZTfc+0996Tq4xqK8n46CO5npiouVmty2+M/5noGbsiZ8APTX3J1A+d+iC4Xnpdxu0cJ22ntNUxq/+C/nIw1jdVj7Nn7Z4LJZYfmtQZfdGZBJF164cm9hwoPIsf212LJKb2YcU6u2uRhLaQzhHOiW3IthBPq1RtS/qkSfp8eT3jgU0yT5/2xStFXuyes4R8paH1jH7QM7NHTMo2tWdQVl4m83+cr0cNmfHQc05P+ebsN3U5mL7XillXrkjaO+/4YlbLlpI+cqQUp6f78iyX3xg9W4TQjeB3nBN7RdXF7nokMc3fLYlkH9aZuhzx+MnmT3TnGx0DAxcNlFOJp/Q1p2fpWuIldvAMnUmcE+vWD3/B+UlsmY9hOxE+KA1KYWGh/rvdPXbCvTjOmTNn9Pmnbp5FuJ8ySSpNnkW5BCq76+GEAIViqbvd9UhCneldcFtnDBAn4MO6fRahvm7rTW9VqXom5Ysv5HLz5hLTpIkkDxokRQQtZdRlqk52z1niRc+IpWuL+DsVyo2JidGNNkHS7p5QwrPYs9s6V1eqIFNyQ2bvnS1tJ7eVx8Y8Jj1m9ZBvznyjj5HhevAz6LdM6efanDlytV07ufzYYxLbubPkfvONlCtnZGpR8DN2Qp3RkYmeeRY90xAx0s+/7e4LJdyPD7r1Q+51Yxvor7aqVraf2y7dZ3WXP475o7Sb3E5WHl6ppxVVVrj7ziZ+iA+iI3SFH7nVFcL7Wg2h3fVQwv2Wnu2uhxOeNbUPUx9EKJfOJBJoEz80iR0VKtkrVqQqcfhwiXn8cbmiJFUlMMWXLzuOWV71jL7Qm909doJueM++imgfOXJEN9p294UTq87Uwe66ndRU1UhBcYGM3TZWmo9tLk3GNpEBCwfInkt7tK/d51Pqd5cr/d5U5VybNk2utm0rMSpmXVXkO2//fl/MiqBfS6gn/ocf2l0PJzxLzkDuYOJLCPrGvtw+60bP6LeyvFI2nNwgXWZ00W1Cx2kdZdPJTXKr6pa+ZvecnQT6ods6cz8jQPHx8a790Mob3NhzoJjqmftN7cM01lEm70t8z87O1vHe7r5w4toP1X3ErCKV1yW98YZcUjnWFUW20kePlhspKdrfuMf22QDhfclbGlLPPItt4Icm39jENsilcgtzZdTmUfL4uMel2dhm8try1+RM8hm5U30nZMwqZcDgq6+0bolZ8S+9JNcvXvS1CS7KN9UzfpecnKxnUrp9FqkPP3RSb/RLHrtg/wI9APPYV49JtxndZPvZ7TqeVZQ79wmTthChjjxDJyUDd2798BfvrX9PMosyId6OQe8ABbsFjTW9XnwgE/ByGIcJYPq8sFswnI+CrV5qt0BP9FCYoKHXxFYr0sz6MUZfr7ZqJTkqCIRbl2EHekZM9AwsXWMnbtHQa2LZ1Y1zyFiXwWjG22vf1lPKnOLmwYOS9OyzWtdsmFWwZEndMUVOYOnZZLoJNoEf0qCYwNQPTX0wJitG3ln7jjQd11Sv3Zv942ypqHa3nIE6m/ghOvIyjZH35VuZAB2bxjtT+/Dig6Ch18SWqYSKJQ9XmjbVU17z58yRWpe/Ax1jHyZAT+jLrZ4pr6HXxNLOs8yBXncSwuGbhrtq+9kYK6lPH925Gd+5s1xfvZpg4r8aGfifqZ7JGfBDU18y9UNTHzyZelKeX/y8NB3bVG/8tOjwIqmucb6cwfJD0/eNrol1BtrChl4Te/PIEUnu21ePvtIxVLB0qau2HzSGngHlQjZMyjbxQc55Hbp+qJ7ZwEghOVfwjrqhwL4j19es0RuRQmST+/WTsqNH/VedgfwdvmOCh3VNbCgciD8gT899Wscsjj1k3ayb8r3EDp4xXhNLEj5o2SC5kHnvVvrhECWxzvGokNhyFZjYDY/1T1fbt5e85ctdJSgWCFImegaWrk0S6IYksQl5CfLWat9aglaTW8mn33wqN8rdE8LS2FhJevlliWfaS6tWkj12rNQ6JJaWnk0CBjbxKJFYgH6/2PqF7jRg3fHIb0fWbfjkBNQ5SmIjw4sPgoYksZybmNSrly9mdegg1zff3c3aDdCxaVJn2nBTXkOSWNa/vrz8ZU1gW09uLeN2jJPyavdtOOdXJg4cKFeVzhPatJHcKVPkjkO/+jmRWHCt6JqM2DhCxyzkq51fSXG5s7WXlh+avm+UxDoDbWGDkVil06L16/XmjkzNT+jeXfK+/dZ/0R0aQ8+AchuKxJ5MOSkDlwzUy7SYoj9r3yxXHUEWbp44IfF9+0pcs2Za90UbNvivRMbPicSCSxmX5MUlL+ociwGDSd9PqtukLhK8xA6eMSaxXWZ10cn40/OelqNJznopoiTWOR4FEluye7ck9eypewZT+vSR/O++M95wiCBlomdg6dokgW4oEnv52mXdw25tLLDo0CIpKTXbIAmruKkCXdann+q1GxxqnvHuu1Lt4D0sPZsEDGziUSOxgGfRt3UMz2srX9Pfwwmoc5TERoYXHwQNRWKLt26VRJUEQmDZfCh/71695skE6Ng0qTNtuCmvoUgsO373ntdbt/OdZnaSZYeXGb8vuJGcLOkffCDxKmYhuvPNQZv+cyOxgLZhzv45euMU2owha4dIYl6i/2poWH5o+r5REusMtIUNQWIZac2bNUsS2rbV7Tw7EZecPKmnvpqgMfQMKLchSOyOSzuk+5zuev1r34V9ZdfFXXpzJxOg4aLYWElXuZXe8IlN6mbPltsOdPBzI7EoKy0vTT7e8nFd5xvn9qdfT/ffEBpeYgfPGJNYzgiCwBJgn/r6Kfk+5nv/pdCIkljneJhJLNMtCpct09NZce7UQYOk4tIlTWCtI3bcgiBlomdg6dokgW4IEouvsMEQu3l2m91Ntl/crn9eVVFlZB/YMpZxR/2ZN3Omr4FTSXn666+HPRIEWHo2CRjU9VEjsbwn61/Azks75ak5T2ki+8z8Z/Q0mEigzlESGxlefBA8aBLLqF/B/Pl650ntK2+8IZUqUSAdYdMOE6Bj06TOtOGmvIYgscSoLjO76JjV6+tesveq76xcYpYJeE92J76l/CKXTWk401Il5SxD4Ti2cPi5kVjKY20/2Hhmo3Sd1VWaTWgmzy16Tk4kn9A/DwXLD03fN0pinYG28EGTWHb0zp08uc5XMt5+W6qTkzW5Yn2mCRpDz4ByHySJvVV7S0+9p6OamPXqilclNjtWOYTiHX5fcgvaBToLODs8+4svdMcb3yFr1CipyQ8/NfnnRmJ1jqSaUWbpsFs9nW90fr607CXfdwgDL7GDZzwdscNUo5eWvqSTQnYqXHZ0WdiKREmsczysJPa2upYzfrzEt27tS0KGDZNq5XSgwmPDbaJnYOnaJIF+0CSWJIRZC6zNIAk5lnTMf0WM7eOeBlA9r6cade6sz5NNUQlu2YnQiY6lZ5OAQV0fRRKLnnXLr3Aq9ZQ8v8Q3Is4mKpvObPJdCAHqbOKHURLrDg+SxNYUFkrW559LPMngE09I1siRUlNQoK+RDHrRs2lSZ9pwU96DJLG379zWa5pY22Qdan8+3Xe+951a3/ENJrDsQ0c7pe/C5ct1Jygxi07QcuUroeAleX5USWygng8lHJLec3vrPKvbrG6y67LvHEs7WHo2fd8oiXUG2sIHSWJv5eRI1ogROsditlX2l19KrT9RD7YPN2gMPQPKfVAklqnCM3+YKa2mtKqbtZBV7OsY81LnQPu4pxNUfZO0117TnaCh8HMksZaeOTd29YnV0nFGR92GkPeeTQ/dXnmJHTzjicSC1MJUPWxsrfNjLnSoNTNREuscDyOJrS0ulqzPPtOJIGeW5gStxfSiZy+B2dK1SQL9oEgsB0PPOzhP2kzx9UgNWTNEr4m14MU+7BpAzmZM7tNHJ4VJ3bvLjW3b/FfuhaVnk4BBXR9VEhtoG8n5yXptMg0ePbcc2E3ybgfqbOKHURLrDg+KxN7Ky9MdbTpmsRbTf2apBa96thput0BP6MutninvQZHYilsVMmn3JN2OE7PYGCWt8O43qe8YXbJrV93ZvEnPPCNlp3xHNATDSyL6UyCx4EzqGXl2wbM6ZnFcyOaz9uu4LT2bvm+UxDoDbeGDIrFslJn+1lu6Ldfn7CvydCeAENnZh1M0hp4B5T4IEltYVihf7PhCxyymsLIBXU5Jjv+qtxhtZx+FK1ZIfPv2vuUozz8vFTEx/iv34udMYi3sjd0rveb20p1v/Bmq881L7OAZzyQWsIB37M6xuuFDPt/+uZRW3k84H0YSe6PihgzbOEx+OeKX+gD3ylv33hcuQQoHqzExNaaHjcSy23DG++/rXigIbN706fcEVhBOz5HgJTBbug5MkJziQZDYyppKX8+gCqwkHR9u+lAH20B4sY9QDWClCqiMaujNHzp08B1+HgRLzyYBg7r+FEgsoKeWnaGJV0x9mb53um3nG3U28cMoiXWHB0Fiq1RCnv7mmzpmsZkQyaCqoP+qD171HNxwOwV6Ql9u9Ux5D4LE3qxUbfh3Y/XGHCSD478bLyWV967ZfxAx+ubhw5Lcs6ePyPbqpfdZCIaX5PmnQmIB0/KYJknMaju1rSw5ssR/5S4sPZu+b5TEOgNt4YMgsSzLSnv5Ze0PbCZUvGWL/8pdhLIPJ2gMPQPKrW8Syw7ptOFsOkcbPnXP1PvacHRsWudQ9lH8zTd1+yokP/OM3Dx2d3adhSiJ9YER2BeXvqiJbIfpHfTMxGB4iR08Uy8kFnB0xeTdk/XOVARZRmezbty71uVhJLGLjyyWP33nT/WC5A2nN+gRtECESpAiwWpMTI3pYSKx1ampkjFkiF7/Cjm6vmLFfckgCKfnSPASmC1dBydITlDfJJZOETpxSASfnPyk/vv1svsdzIt9hGoAge7FfeMNX+Ju9eIGNACWnk0CBnX9qZBYUFBWoL8P34nv9ck3n9z3raiziR9GSaw71DeJrVK/T3foQI7YWXL9ev+Ve+FVz3YNtxOgJ/TlVs+UV98kls03aK/1zpKTW+sNhWpq79fJg4rRFcpPUl96SX8r3b6sWuW/4oOX5PmnRGJB9o1sGbFlhP5WJO762LBbd3Vj6dn0faMk1hloC+ubxJYym+rpp30xq0cPKd23z3/lXoSzj0hoDD0Dyq1PEpuYnyhvrHpDDxJwFNWKEyvkjrVmKADo2LTO4eyj/ORJvTEgOTGbm5bu3++/4kOUxN5FRlGGvLfhPd+3mt5elh5deg/P8hI7eMaYxFLhQNGHcldUyvwf5+ttrTmb8c2Vb0p8Vryqpc+YONSWwoKfjSS8II02B/FaRulGCDQc4MvfLXLIy1/JuiIvLn5Rfj3613Iq5ZTujebjW/fxJ40gBzxbv8up8Lx1MLTd9UiCnkiE7a6FE94NUsaHNdEV9S1UematGKl78ZkzkjRggD5P8aoiRbkbN0ql0l2FctDgZwP17FZM9YxYusZO7K6HEvRz5coVfbg0AcfunnASaM+iYmx6vkoGN3ygnbXlxJYy9fupUlpWKjXVNfc968U+0HEoPdMslqSmSsoHH0isagxjWQM4ebJUKN1UKdsuVX9SrmXfboS64od5eXlGthWu3uEEPT8I2+DA7tKbpTJ2+1hpMaGFXrf83rr39C57fE/uwabd+iE+iI7QlVubtIQ64xN21yKJqZ4Ryw/d2oepDyLYUmxsrCQmJhr7obYPpXdiVtGRI5LYp4+OWXGdO0v+zp2+mOVvaAPFq56xD7trkQQ9udUzuiHe9OvXT44ePVrXVrkRK0ZXVSpNqXb5SuYVeWnJS/rMagjs3B/m6u9RXXX/d3hQMZpvdiM+XpJeeUV/s9gWLSRn4UKpVMlUpUokbxjqmfcgZ8APTb+xqX3Uhw/aXbtz644UFBfIyM0jfWdgjm8uX277Um6U3tDXLD2b1Bl9kTzHq2/h1g9N7DlQeBY/trsWSYjPJvbhxZ5pCyFlOTk5dQm8G9H2oerMRpjEpoIdO/QZyleaNJGEZ56RAkVo8Qu7Z73Um/jR0HrGrqjvGZVLmpTNs7yzjlmKm51OPi3PzntWn0vabmo7WXF4hc6xuB787IPyQ75NscqxE8iN1TeL69BB8tetk0oVk4lb19VzJu+K39GJFBMTY3s9kuj8XZVtklcipvaBjkPZxp2aO5JVmCXvrnlXtzNPjH9Cpu+ZLuUV5XK7xke6qbNJ7OAZOimzs7Nd++EveCBYamtq9XbW60+tl/ZT2+sKD1g4QC6lX9KbQlBZXtbu2XBCRWmIeFE+st094QTn48NY/6aegKk5//vL/7v8b6/8b/InQ/5E9xCAwDIwBj6O9W+nguNaBMfueiRBT9pxba6FE+pOTw4k1kRX1LdIlV2tnLHo8GFJePZZiVWJRUK3bnJdJYPVKuBWqcTC7tlgPbsRUz0jlq6xE7vroQT9kDwTNOh9srsnnFj2jG2n5qXKGyvf0Fu7kwzOOzBP14trds96sQ90HE7P9KNVKl1mjRtXR2TTP/1UKlRdK2prtZ4p3+7ZcEJdabhJDOvDD50Ken5QtkEiX1peKnN+nKPXLxOzXln6iqTkpuhr1NmtH6IbdISu3NqkJbwvPmF3LZJEso9wYvmhW/uIpOdwgr5InhkFMvZD9b7EpsIff5T4nj11zErs3VuKDx7Uu6ZXhfi9XvWMfdhdiyToCX250TO6Id5AYo8fP65JrN194UTbc0mpTgYhsC8sfkGTITqeVx1fJTW3anQbbvfsg4zRxKzyjAxJHzpUYh9/XK62aiVZc+cqMq2+rxKIrN1z4QS7ImcgdzD9xqb2UR8+aHcNIS4V3SzSM9/0Eq4JT+hzZXOLcnXCiJ5N6oy+ILB0Jrn1QxN7DhTeFz+2uxZJiM8mfujFnq22kM5Kk7ZQ24fSGXafs3q1PmOfDpyUQYPkpoqF/LwqxO/1Uu/G0DP6oVyrU9funnDCsxXligypXOpA7AHpM7ePNBnXRJ6a/ZTsidmjiRBxy+5ZLzEaPWPTdtf4NnyjsoQESXn9dblCzGrXTrIXL9b58Q31rMm74nfMSGJwxe56JMEuqbNJXomY2kckPdPeFNwokC+3f6k73pgCzvn910uvy+1bt41jB89AYpl96tYP75tOHAwW8XKcBbtTDVw6UOJz4/XPKdQtaKypKMo1gaWcYDD1k6k5TcY2kbTrabZr4phSQIA2AU5gOr0GI+SjmIDAajqdGDApoGT/fknp1Uuvr0xWyWCZzbz/YITSsxMwpcBUzwBdm0yhYDpxZmam/1/uoDtD1P/xefF6PTWOybz/9aftpy4Gw9Q+LCeMBNYss3aZnaTj1XfM+ewzuaUaogoDPQHqih8SsExgah9efBA4tY1tF7bpTVOIWW+uflOuFV/TwdfED9ERujKxScD72k29dAKn9mEHL35o6oOA6cTp6ZHPlLMDWmI0o2TnTknq1k1Px2OqV8XFi74bwsCrnk3aM4Ce0JdbUB7TiUmgTWDZxbmMczJwyUAds7rO7qrPV4yEhojRbBTI7tHxLIdQcSt/6lSpJKnyX3cLcgb80PQbm9pHQ/gg8ZjOUjrfiFkfbv5Q8m/mC9n17VozP2RWUmqEY9rsYGrPFnjf4CmjTkF8NvFD9GxaZ3TPdGI6lUxQrcqm0+0GJwso8kOexWZO1Q6mcnvxw8bQM6BcYpZJ2dYRefvi9kmPr3toW+8zr4+cTDmpfx4OXmK0U/tgJ+mMoUN9e5G0aSMF8+YpLlHNZC4jZGVlGU8nxi6ps0leCUztw6ltsJO03jxwSiu9JOKzbZ9J4c1CPYvEFAzYQb7dIiKJBZzDyK5UTK98bvFzcixBESGDL4sx0RDRE2QCCGEoBaPQJyc9GfKj0zNiEuj4fTSgXpJY00bQy5pYkPfdd5LgX7ieMmCAlDtMmMLpORJwHC8NCrrGTtzCy5pYcD7lvD6yhYXrXWd2lW/Pf+u/Eh5e7AMdO9az+v0Fixb5iKxKDNM/+khKDEk7dcUP6XEzgal9mPogcGsbnCXL1vCMbry87GU5l2JGFtCRl+SZ9zVNNlzZRxAsPwwVD0PBiw8CL2ti0VL2ihV6IxRiFhujVDhMArzqGZs2AXpCX271THle1sSybOxI3BHpM7+PbpfpaN531X7tXTAaKkbXlpRIzpgx+mgRNhFkFkl5hHMZQ4GcAT80/cam9lEfPugE7KrOcRbW+ZisE7ycZt72R9fEOgNtoZc1sYzkZS1cKIn+nW4zP/hAHwXmBF78sDH0DCgXEmtS9u3q27L78u67g2JLBsqla5f8V8PDS4x2Yx8c2cb5sXrjU5VrZU6fbqznn9qa2GBwpu/cA3P1/kkQ2SGrh0hydrL/qjsQb+ptY6dQOJd+Tvov6q+nWfaY3UMOxh70X3EOAuSDIrHjvhune6ODdyW2wAc1CRhWo21qTI1FYou3bZOrnTrJ1WbN9GYblbHhDyoORDg9R4KXwOwmQQqGFxLL+YmszYDAEmAPxB3wX4kML/ZhkiAVqAaTI0auqgYz+Y03pNqAyFLXnzqJBcwi6Tqrq/6uz8x9Ri6mRx7RC0aUxLqDMYlV5eYvXixX/GfAshtxtQt/9qpn0wQJPaEvt3qmPC8k9lDcIek5p6dOBp+d/6yj0QwLDRmjmUWSO3WqTgiZXpz23ntSY5Co/NRJrAV2/ew0s5PumBi4cKDE5cT5r7hDlMQ6A22hKYnFtrOmTZPYli11zMp8/32pcdFJ48UPG0PPgHJNSeyaY2v0udVMnX9hyQuubNtLjHZrH7dVrOE833j1XVnXnzVxotw2+E4/dRIL2IRr6bGl0nF6Rx2zXlv+Wt3Zvm5AvHngJBbEZMVIv4X99GZP3Wd1l8MJh/1XnIEAGSWxzmFKYos2bZKE9u0l5rHHJG3wYL3TrRuE03MkeAnMbhOkQJiS2GPJx6TX1730VHTO7zuefNx/xRm82IdRgqTKu75mjXDG2ZVmzfQOxtUuSQN1/TmQWHAk8Yj0nttbx6xn5j0jZ9LO+K84Q5TEuoMpiWWWQZwiOth05ocfSk1env+KM3jVs2mChJ7Ql1s9U54pid1zZY90mdlFb4jCaMb5jPP+K87Q0DH6jvL7gsWL5WqbNprI6tGqggL/VWf4uZBY8H3M99JtVre672st4XKDKIl1BtpCExLLSQGcVX1VkRy96eKnn+rz993Aix82hp4B5ZqQWJZmsccIRIclW25t2kuMNrGP26q8/Fmz9LdlwCDr889dE9mfA4m1wHnXEFliFrNIrhVd819xBuJNg5BYcDXnqgxcPFAn/QRapu05BQEySmKdw4TEFm3cqAms3jL89delOjvbf8U5wuk5ErwEZpMEyYIJiYXgPPX1U3oToL7z+8qV7Cv+K87hxT68JEhFmzfrDQiYwqTX4KiA6RTU9edCYgGjVGwe0WxsM91h8cPVH/xXIiNKYt3BhMQWLlmiZxeweVmqi+l4gfCqZ9MECT2hL7d6pjwTEvvd5e/0em+ShUFLB0lygfvpW40Vo/OWLpWrrVvrUatrw4a5GrX6OZFYsDd2r3Sa3klv1jVo2SDH0y4tREmsM9AWuiWxenYBe1S0aqVjVqYBwQFe7KMx9Awo1y2JXXtqrT6ShTzrrdVv6XNh3cJLjDa2D+UL19R3pqOC6cXZfGcXv+fnRGLBprOb9MaCdFSwF0lSfpL/SmQQbxqMxILkvGR5eenLeioTG+Bsu7DNfyU8CJAPisSO2TlGB/yfM4kt2rBBj9Dp9WSDB8sNg0YMhNNzJHgJzF4SJLckVhNY/9oMpuOZrpn0Yh9eEiRSjOw1ayShUyedFOr1g1eckXDq+nMiseBo/FG9GyJrN+h8c7p+MEpi3cEViVV2qNd5KwKr13mPGCGlBp1uwKueTRtu9IS+3OqZ8tySWEboGIFlevzARQMlMSfRf8UdGitGswkOu35yhqyeMj5kiFQ5tJWfG4kFuy7u0p1uJIVsgHM8xfksoSiJdQbaQjcktlbZYc7YsZrAxj/5pF7nXWmYz3qxj8bQM6BcNySWEVjOf2UK8RvL35Br192N0FnwEqO92Ee5KjOLDguWuTC1ePRobQNO8HMjsWDb2W3SY04P3UYNWDxAYrOdLWMk3jQoiQVJ2UmabRNgO8xQRPZiZCJLgHxQJHb8rvF6Y6efJYlVetVrJdu29a3NGDZMqtWz5arOJvUOp+dI8BKYvSRIbkisRWAtR7uQfkFV3H/RJbzYh5cEqVaVW670VLJ3ryT36qWnvKSopLgyJsZ/R2hQ158biWV3Yo4Ie2HpC7pB7T6nux7tiIQoiXUHpySW6Vp506bptZIkB7mTJ0u1Kpejo0zgVc+mDTd6Ql9u9Ux5bkgs67sZgSVmvbryVbl6TSVHZjyj0WI0JJbzF2/s2CGJnTvr2UJpr7ziaDnEz5HE0iadTD6pl7nQ2ep0J1cQJbHOQFvolMSy4/Y1/6Y/7F6bP3u2b8dtQ115sY/G0DOgXKcklo3KGOSivR2ydogk55ht+gO8xGgv9lGhnr1VXa3z6wR/fq1nkaj8OhJ+diRWuQG7Ex+KP6SJLDGL/PpqdmQdEG+MSSxKcisYFGcCZV7P1Ge0WiOyW89v9f9a30cIFpRKQ8SxFVTa7p5wwoeBFAb/nN9VXF6sj9II9Xv5ODSEdtfCCUGd53AEu+uRBEPEKOyuhRPegwO4IbGh3onQeVvpNH/uXInzb4hybeRIqVH6xfRLDOsdSs9OhC26TfSMWLrGTuyuhxL0Q7DgaI9QutJQCvvu0nfawZpNaKbXZiTkJuhLVsBwK17sAx170fNN9Z2wAY5RSuzRQ39/jiQpV42yto0QuqCuNET6bNwQ94QT03qb+iBiahuWlJeVK4WIDqgDFg3QuxZ3m93tLpFVCgt+Bt2gI6vRDr7uRKgz38ruWiTxah+Ujd7srocSL3pGX5xPydEeoewKu6xV8TB7wgSdDOppWurvt0kW1DVT+/CqZ2Ke3bVIgp7c6hndUB4k9vTp09r87O6zfr7l3BbpPMNHYIesGSIZ1zP0OaIm7QrSGDEaob7lKnfABooUkU2AyDKF/OWXpVIRLh2zbJ5DX9ZRV6bf2NQ+6sMH7a5FEvR8s9SXeJ9KOVW3C3Xveb3lRPIJ/fOQPqZ+zhmxHLMT6p5QYmLPgcKzxHm7a5EE+zDxQy96pi2ExJI8h9Sn0nUNBPbjj3W8ouMtVxFYfk6nW2PYB/lKQ+sZ/VBfOt5ClQ1u1dySr/d/rXethcB+uOlDybmRI7VVtcb+21h+iJ7pfONbF6xeLfHt2ukBg/S335ZqlZ+Hi1kc+RgbG2t7PZJgl9TZJK9ETO3D1DYQYkfZTV+nzMH4g9J9dnfdZj236Lm6Edk7t+19jHgDieU8cLcx6xe8rBvhBUnsKIwts+Mz4/XanMfGPCZtJ7eVTSc3aWMlaQx+jobozJkz+vxTDDLweiThecok2PD3wGv8Ls3aFCDYgdcQ7mdEJT8//75rkQRD4jnqbnc9khQUFOhevuA6RxKMCVJGgLXTVRnvqX6eOWOGXnzOhiipH30kpao8RuisevNn8LPhJJyeI4kXPVti6dpN2egnJiZGN9x237+irEJqqmr07njM2Wc9GdPh4zLjdM8R9sx3Cn7OiZjaB++Hjj3rWb17uXL6/F27JK5rV33QesIzz8h15WecQGf3LHXGD+kkMfFDk3pzL3o2tY1APbsp1xJsWve2K6Z0Nvms9JvfT9tBlxldZPu57TqWEYADn8EH0RG6Mi2XOvOt3D7L/fViHzbXw4kXPWNLHO7OaKxtHCaZUPVK/+oruaISAQ6WTx87Vm6qn5WrBtCLfXjVM/bhRc9u4iy6Id707dtXDh8+7CMswfeUV0pVRZUs3L9QWk5sqfegeGf1O5KZn6lttTFsAzG1D+7F/wrVe5cpv6KNyt2yRa/rj1ExK/HFF6U4Lk7PHgp+FrsiZ8APTb4xYmIf3NuYeuadS0tKdcziNIies3vqmMWfB68c1D+3exZ9kTwzO8nOD0MJdea7urXnQOFZ/NhEX9o+lB/aXQ8lXvTMs7wnpIwzPYn3wfeUQyZycyVl2DAdr660bKmPXdHXVMy63ki5EvGjIfWMYFfUl443u7I5B5a8f+quqbqTmDWwIzePlLzreZoT8KyJ/3J/Y/ghz2o9K32VK0JYpr539rJlEtuqlcQ0aSLJLNlLS9OxLPhZ/I5OJAah3NYZ8eqHJvbBvejYtC2kzsQs/s4g564Lu/S6ftou9pw5l3xO59t2z/KeDBYwem3nh+HEeCSWh/k7SC9Ml6Hrh+oRWea/f3PuG/1zuikCn4OpU1GMKvDnToWXxZHsrsHewzF4eiWsOrsREgw+jmmPCHXmo9hdiyQk0JcuXbrv5/T+1Cpd0huoR2BbtNDTXOgttHqGqK9pvdFxKD1HEnq9TPSMWLo26eUPNRKrFaJkw+kNvqktKri+tvI1SSv0TWHjHmwDJwp8zql4sY/60DPl44W8Zql/RPbqE09IUr9+UqZsR9tDkE6oK6MaBLnAnzuVcH4YTkx9EPFiG4jlh/QEgitZV+T5xf5zgWd1lb1XfCOywfaDjtCVabm8b2P1PtfZh831UOJVz6FGYtE6I7BZ48bpc0ORnIkTpVa1JdpG1T1e7KOx9Iye0JcbPaMb7LF///6amNnFLP5cfnS5tJnSRrer7294X/JLfRshcc3UB5HGitH4H/XW/1bvwXe/sXOnXtevl0MMGhRyRJacgdzB9Bub2kd9+KDdtUhi6ZnfgX0APSI7r4+OWZzbz1RjEGw/iJeRWLf2HCi8r8kIEHKPfbgQdGTaflttIcl78DW0fkvF/4wRI3yzRhR5yZszR24r3Vg22lj2wfs2tJ4Ri2wElw0YgZ25b6Y8OflJnWd9tvUzKa30LR3kHlMfRNCxaZ0pE5u2uxZJqDN8h7/zzZHCtWv1iKzeVHPIEKlWxM2yB0vwO68jsdTZJK9ETO3Di20Exg4rZnFcpR6RHf+4PLcw9IgszzBgB4EO/LkTMVoTi1FgVIG4UXFDPtr8kZ7ywlbLdmtkqSgBAwWbAAVjUCZAwXwct+BjWIHGBOgJYzJBuDWx+fPm1a0nY3v34N3xqK9pvb3oGacz0TOwdI2duEW4NbFMx7POJ3t91et6Ol4gTG0DeLEPdOxVz1awsFB64IAkPfWUb2rxc89JhY39UFf8kMTQBKb2UR96NrENQJ2D/TClIEXeWvOWjlkEWrtdi9ERujItl/flW5ngQdhHJHjVc6g1sezoCWnl7D1iVu6kSfpngfBiH171jH2YAD2hL7d6prxwa2JXnlgpbaa20Tvuf7DhA7ledu9aoUcxRuN/dnq2iKzekJA1sjZrOckZ8EPTb2xqH/Xhgyaw9Bxc51Opp6Tvwr6ayD497+mQa2Sja2KdgbYw1JrY2yohZ3kWm87pNbBff62P1glEY9lHY+gZUK61vCYQnBc6+8fZ0mpyK7154uhto6Ws6t5341kTHwTo2LTOXuyD/B2+E4yi9eslQRHZeBWzMt59V2pycvxX7uLntiY2VOw4EH9AH3NIzBqwZIDtKSA806AbO9mRWEBD+9EWH5Fl1Ovb89/6r/jAS0ZJrHPYkdg7SoesgWV3PD0Cq4IsGw4Ew4sTeNGzl8Bs6dokQQpFYjee3SgdZ3TUBPa1FXdHYANhahvAi33URwMYHDAAI7JJrJFldKN/f6m4dO/xDNQ1SmJ94GDud9a+owPsPWtk/YiSWHewI7Fs4gSB1bNGGIEdP17/LBhe7MOrnuu74Y4EygtFYlceXyltp7bVMeu99e/VjcAG4lGM0eESJDZ7skZk2Wk9eLOnKIm9C0YzOHan2fhmekT2RIpvjWwgoiTWGWgL7Uis3sTpk0/ujsCyBtbG5hvLPhpDz4Byg0lsze0amfPjHE1giVmjvh1VNwIbCJ418UGAjk3r7MU+QpFYcJ0RWf9pIBnvvHPf2eZREnsXFzMvSr+F/XTMClwja4FnHgoSC4orimX45uF1I7LrT62X23d8H4KXjJJY57iPxKo65M+f7yOwbOKkgmxtCOf04gRe9OwlMFu6NkmQ7EgsI7CRCCwwtQ3gxT7qowG0Cxjg5qFDkvzMM3L18cfvI7LUNUpi7wIiy4Y5msjO6XbPiGyUxLpDMIm9o755zqRJvmRQxaycCRPuG4G14MU+vOr5QTTc4UB5diR21YlV9xDYgtIC/5V78SjG6EgJkh6R7dhR71rMZk9VASQsSmLvBWcwWkSWEdlgIhslsc5AWxhMYjlCRe9CrMgJJz5wDBhxzA6NZR+NoWdAuYEkltx+zv45vinEKmYxhfhmpf234FkTHwTo2LTOXuwjHIkFmsi28232BJG9FbBrcZTE3gvOutZEdoKPyMZk3T1Jg2ceGhILCm8WaiKLUbOmZ8GhBXUvFiWxznEPiVXl6ynE1hpYRmCLi33XbODFCbzo2UtgtnRtkiAFk9jNZzfXEdhXlr8SksACU9sAXuyjPhpAy6/sAHGFwJIUBk4tZo1slMTeC4js22vfrhuRtc6RZWOVKIl1jkASWzcCq+IVSx/yZsywHYG14MU+vOr5QTXcoUB5wSSWKcQWgR26bqjkld7bsx+IRzFGO0mQSvfs0csh6HwLHJEtVWVGSey9SC1IrSOy7FrMVGMLURLrDLTbgSS27hgdRUqYLlq0YYP+eSg0ln00hp4B5UJiWdSO7gJ3IWYEtqSixH/n/eBZEx8E6Ni0zl7sIxKJBYX+XYvJs5habBHZKIm9H5evXZZ+C+6OyF7NuasfJySW3x3MPR8IiQVFZUXy4cYPtXHTMC88vFBqb9dKzKWYKIl1CEhsTHw8Fi0FCxZoAsuaMj0dL8K7eHECL3r2EpgtXZskSJDYrGtZ+u/fnP+mbg0sR0DR2IeDl+TZi33URwMYLmAATWT79ZO4Zs0kWRFa6xzZKIm9HxzRNXjNYE1kOUf2QMIBuVVxSy5euGhcLu/rpeF+0PYRDK96hsSmsz5Ilc+6V01gW7XSoxnql/vvsocX+/Cq5wfZcNuB8iCxF89f1P9mBJYOX01g1w+1nUIciEcxRjtNkG4eOyZJvXrpmJX6yityKyNDylR8jZLY+5GYlygvLXtJb5zCMTzWiCybOkVJbGTQbkNib6hvfEeVzf4ibIzICGzRxo3+u0KjseyjMfQMKDfmYozU1tTKvIPz9Ags6/ZDTSEOBM+a+CBAx6Z19mIfTkgsKN62TRK7dJGrKmZBZG8rMpatJEpi78eFzAt1U4s5RzY2xze1+OKlyCSWun300Ueyfft2/08eIIkFrJEdvmm4NvK209rKvP3zdELI8QEm4AVMA4ZpgmQ1JqbG5IXE5qkPelmRjusLF9YR2NypU0NOxwuEFyfwomcvgdlLgpSYkCh52Xmy/fJ2PQLL5gKRRmAteEmevdhHfTSATpINiCsjsQTY1AEDpOzyZbmgyMaNktC9puFgah/1oWcT2wDU2Ykf6qnFa31Ti3vO6ylbTmyR+CvxdbsauwXv66Xhbgj7CIRXPSempUlKYqJcnz69bgS2YMkSfrH/jtDwYh9e9Yx9mMA06ae85wc8LxfOX5BvLn8j7aa1qyOwoaYQB+JRjNFuEqSbJ07UEdnMN96QQhXDzsfFSY2hXZraR334oAksPTupMxvUBU4tPptxVnIyciQ1JXznrR1M7dkC72uSPAPTBBodUWcT0G5fUESj4No1yf38c73kgVG1SCOwFhrLPhpDz6C6slrHrJl7Z/o2nlN5lh6BrYycS5j6IEDHpnX2Yh9OSSwo2b1bErt21SOyOcOGSeq5cxKX6t4HgZf8HZjahxfbcBM7AkdkBy4ZqM/vT7qa5Gg68d69e6Vt27by3Xff6X8bkVg3qLpTJaO/Gy3tZ7WXdtPbyajVo+RWtZnzeYVpYDY1JK8ovnFDzo0cKSnt20tGp05SOm+e/4ozNFa9TfUMTOucnZktc7+bq4lH2xlt5d3N70peRejpeMFojDp7has6p6RI7ssvS0qrVpKmiOz5LVvErGvFGx4FPRdVF8nwrcOl7cy20nl6Z1m6e6n/int4eV+vMC3bi57TVaN9STXgacSszp2lYs0a/xVnMK1zY+rZVF+vvPSKfLjgQ+m5SMUsZWsjd4yUslqzpNYtHgU/lMuXJUfFqtTWrSXh+eflkkpeTNFY9tFQes4uy5bBGwZL62mtpf+S/rLpwCYpyrt/x10n8PJ9G0vPXup8RZGNhPfekzSVGGd27y5VO3f6rzx4mOqrsfRcc6tGRqwYoQelyOnH7x0vteo/J2isOoOGilm1R45I1jPPSFqbNnL5xRclmanXhvip+2FSUZK8vPplHbNeWPaCfHvgW7ld5ez5kydPSnflqz/++KP8YsmSJeJWFixYIPMUobK7Fiwrl62UqbOmymNDHpO/G/J38vdv/b0MmTNE1q1bJ8uXLrd9JpTMnz9fi921SLJw4ULHdQ6UxYsXy9y5c/WfdtcjCWWiL7troWTx8uVaP3tff12+/9u/ld1KlrVrp99hibpm90yweKm3Fz0vWrTISM+WUGd+h901O1m2ZJlsWLtB3p3+rvzLO/8i//jOP8qv3vyVjJ48WlatWGX7TLCY2gbyyOhZkYn5w4fLpn/5F/nh7/5Odv32t7Jt+nRZtn69LLa7P4yY1rs+9OzGNgLFjR+uWr5KxkwbI78d8lv5m7f+Rn459Jcybvk42bBmg+394YRyTevcoPbhF1M9L16xQjYqG9vdv7/sVvb1vZLFqpFZtHSpLFm2zPaZYPFiH42pZ/Rldy2U0O6tWLZC/tj/j/LXr/61/NPQf5LfDf6dTJo5SVYuX2n7TLA0hm1YYuqH+J+bOi9du1bmDxki3/zTP8m+//E/5PvmzWW7+h383G3MMrWPR0XPq1esls8mfya/fPOX8ndv/538auiv5Iuvv3AdsyiPck3aM4T31XmKzbVI4tY+LDHV8+JVq2Szils7u3WTvSpe7VSy8NlnZZH62RLils0zwdJY9uFVz27LJWaRkw6eM1j+7q2/k78d/LfS7O1mMvPrmTqW2T0TLJTp1J6Dxaue3cZoS6iz4/wdm1Ft4IJBg2T7P/6j7Pnrv5Y9HTrIVv/P3cQsL3klYmofpj6IuNXzmhVr5MNxH8q/vPEvOmb99v3fyoxlM2TdqnW29wfKWtUGvP/++/L444/LLz788ENxKx988IG89957ttfsZORHI+Wj0R9J20/ayn974b/JX7z0F/L7Ab+XD97/QD4a/pHtM3ZCpRG7a5HEbZ0DheeGDRtmey2S8KyrOn/0kbyv6jrm97+Xzf/P/yPf/sVfyDe9e8tnn3wiwz7+2P4ZG6G+pvVuLD0jbuo8XJGyjz/8WFoMaCH//fn/Ln/+4p9Ls+HNZNgXw2TUiFG2z9hJQ9Y5UBpaz8NGjZKvVXkQ2C3/9b/KUhVkP1C2xc/t7g8lpvVuLD0jbutMzPrw8w+l+fDm8mcv/Jn81Qt/Je1eaKftCruze8ZOqDPvbXctkpjqGfGia9d6HjFChr7zjkz8j/+QLX/+57Ltr/5KNj33nIwcOVKGqWu2z9iI1zo3hp7Rk5s6096NGD5CHuv/mPyXPv9F/mzgn0mbkW1k+OjhPpuzecZOGss2ENf24Re3dR7Gnyo2LVK29d0vfylb/vRPZaEiGu/37y8fqvbQ7plQYmofja1nN3UmNn3w5QfS9KOmOmb95YC/lK4vdfXFrA+dxSy39hwspnpGTHVtpGeVSw19802Z/r/+l2z+sz+THX/7t7LmpZdkhLK3YSoHs33GRhrLPhpSz8QscvXfPvdb+YtBf6Fz+I6jOsqIz0bIJx8598PGsA2kQfVMbqBsaIWyre3/9E/yjbKtOYrQvqdsC5uzfcZGLD80ibOIqa696NkkdhCb3vvqPfnN+7+RPx34p/LXz/21PP3y0zJyRPi28BMV/99++23513/91wc/nTgQpVWlMmj+IGk5uaX0mN9DNlx0tu7g54bqdevkWteuEvP44xKrEsEoQuPH5B+lz+I+8tiXj8nARQPlWsk1/5UoQqE6NlYuKPtKaN5cClWwlfR0/5UogpGWnyZ9ZvSRVlNbyXPLn5PTWaf9V6IIRMW8eZLZqZNcaNJE0mfO9P80CjvsjNsp3b7upgnsK4tfkdJbZhsd/pxQevSonG3TRi+HKFJJljhYO/VzRXpRuvSd21ce++oxGbRmkMRdj/NfiSIQNydPlvT27eVs06ZSsHat/6dR2GHV2VXSbV43vQb29UWvy80qszWmPyfkfPONnGvRQtLbtpUbn37Kwl7/lSiCcTn7snSZ2kWaT2wugzcOlqwy3yatocCmpM8//7xMmzbtwW7sZIfDJw/LWyve0kSWheGBx+9EAguOTRfRm24aQt28LLB2s7HTHVVGwcKF+nDtxNatJfbjjyX2yhX/VXegvqb19qJnL5sVWLp2umnIt+e/lc4zO/s6RSb3kDNxZ/xX3MHLhjJe7KM+NoUwXftwYdMmie3ZU+IVkWWzpwpFbJ3C1D7qQ88mG8oA6uzUDwNRU1Ej3x/6Xl5f+breoK7LzC76+Can4H29bGbR0PbhVs93lE7ZbC5eNdZJqrE+pxrrjKzwDVAoeLEPr3puiM0swJqTa/QmTsSsv+nzN3L6slmnyKMSowPhZdOQchVfTy9dKolPPSXxHL/z2mtSHXQueDiY2kd9+KAJLD2b2vThi4elx7Qe8sSkJ/SuxadTndmZW3sOBu9rsqEMMLUPdESdnYJzYLNGj9abOCWomHV6zBgpMbTLxrKPhtIz58DOOzBPWk1upWPW+2vel2OnjykD9d/gAqY+CNCxaexwax+BcLOxUzCyi4vl/Jw5kty9u97sKfO996Qmz9k+LV7yd2BqH15itNfY8e2hb6XbtG46Zg1cPFDicuw739h5vUePHvLll1/qfzcoieUlr16+Khm5GTLimxG6V4fjdxYfWaydJRJQrmnAME2QrMbE1Jgck1hVTv4C3zE6cS1bSsH06ZKTne07YscAXpzAi569BGY3CdLW81t9x+gog39t1Wuy5/geKcwp9F91By/Jsxf7qI8G0CRgcE7sBWVXuUeP6k2e2LVYnyPrP34nEkztoz70bJI8A+rsyA+DQI8fuxOnFaTp43foKWw/vb1sPBP5+AXA+3ppuBvaPtzo+Y76nrmTJ9ftQly0ZIkkqAYm7ZrZbAgv9uFVzw3RcENgae+enPqkDF45WHo820MuX/CfA+4Sj0KMDoaXBEmfExsXJ8WHD0ty79561+K0V1+VKoezSEztoz580ASWnk1tOjsjW/ad3CevrnpV7wDaZ14fOZp01H81NNzYsx14X5PkGZjaBzqizk5Qq+rHMTqawLZvL4Xr1snF2FgpNtypv7HsoyH0TE4+98BcaTWlld45/dNtn0pOYY7EXoo1KtvUBwE6No0dbuwjGF5I7DWVv8ep+MTZ14HH79Tkhz8+DXjJ34GpfXiJ0Z5ih3ok8Wqi/HDhB3luyXN1x+8EniML+B5vvPGGfPHFF/6fNAKJPXP2jNRW1erjdz7Y8IEe3eB8PCcjsijXNGCYJkhWY2JqTI5IrCqDc2AZgdXnwE6ZQoUlv7hYLl+65L/JHagv5/Ga1NuLnr0EZkvXkRIkzoFlBNY6BzajKEPSk9MlzX8wvluY2gbwYh/10QCaBAzqev7CBbmpfkfVlSuS3Levj8g6HJHFpk3qXR96NkmeATYd0Q9tAInlfErAObJvrn5Tx6z209rLulPr9M/Dgff10nA3tH041fNt1QbkqjhFhxtxq2DxYv3zxJSURvFDr3p+0A23RWCfmPCEDNsyTDLyMmTQwEFy9uxZ/x3u8LDHaDt4SZBoy84pPyTKlh8/Lkk9e/qILCOyDoisqX3Uhw+awNKzqU0nJSVJ7rVcSb+e7jtHdsLj0m12N9kds9t/hz2c2nMo8L4myTMwtQ90RJ0jQY/AfvZZ3Qhs8fr1ekDxYkyMFBWZ7eTcWPbxoPXM99cjsH4Cq8+BrSqVmqoaOXPmjFHZpj4I0LFp7HBqH3agzsYk9to1ueofhCr5/ntNZOtGZHNz9c9DgRyNOpvklcDUPrzEaC+xg2c4r7nyZqXE5MRI3wV9647fic+5O5DHffFKp4F21KAklg+SkZFR92EKywpl2MZhPiI7tY0sPhx+RBblmgYM0wQJpXkxpogkVv1+phBDXhnRYGTjjv8D5SpDv3zZrKce8J1MDMqLnr0EZkvX4RKkrRe26nNgCawvL39ZkvOT9c/TVSLj5IwpO5jaBvBiH/XRAJp8X+oKMbPOia24dEmS+/XTSSEjspURprDzfUwCe33o2SR5Bth0WD8MAYvE3q71fd+M6xny1uq3tP05GZHlfb003A1tH070zDnVdLTpEdgnn9Txy0JCQkKUxAZBE9hpisAqm3ln7Tu63eNUiueUr0VJrDNQ58LCQj2LBJQFENkMRWRrMjP1z0PB1D7qwwdNYOnZ1KYhsSkpKfrviXmJ8uKSFzWR7TKrS1gi68Sew4H3NUmegal9UOdIsf22qlcggS1SBBbwliTPURJ7F7W3azWBbT25tY5Zn3zziZTd8tWTdv+Kyg9Myjb1QYCOvcQObNoEpgQWaBJ79e5I4k3/iKyOWUOHSk1B6PPAydGosynvMLUPLzHaa+yIjY2t88PzGefl2QXP+kZkFw2Qs+mh28kGXxMLaIyKi4v134vKi+T9De9rIktP9aLDi/TP7YByTQOGaYJkNSb1RWLRXaEy3jylAz5Y3vz5Eu8fgWVk43bA++Xk5MjFixf9/7ofoQI3us1zOPfeDl70XB8Nd6gEyVoDqwnsspclteDeg6SpNzpzGyhNbQN4sY/6aAADAwbvQcdHpASTutKbavkgqFB2luIfkU1mRNaGyGJv2dnZIe0uEupDz5HeLRSwDZN6WyQ2sFxG/t9Y9YZvRFYR2fWnfQmRHXhfLw13fdqHE0TSs55CPHWqHoElbjGDRBmU/+r9JJZ4Z+cb1A1fDSzHi3141bNpw23p2QIdacU37vrV2lNrdbvGNPR3170r+Td9U8koL0pi3QH7CLTnsmPHJKtfP4lt0kTiX3wx7IisqX3Uhw+awNKzqU3jhxBZC0l5SXpEtvmE5npd/54re/xX7gXflXLdxg0LvC/fyQRe7YP2jNwyGLUlJfesgb2+7u4MGmJTIInlvUMRF+7JD5oK2lj28cD0rD77/IPz9RpYbIUR2Oo71VJZXqnjtRXLTfIdUx8E6NjUNigTmzYB9kAOwHdHSlxMOw8msXyt6zt2+KYWMyL7/vtyW3GBMmVv6DbQ7tAvdTbRMzC1Dy8+aBI7eD9yVt6d5wLrfCHjgiayj49/XHp+3VNOpJzwX7kXDUpiMaalS5fKi6rBGTRokGzZskX/vKiiSEZuHyltZ7SV9jPay9JjS/XPg4FyTQMGyjEJGCjWizEFk9hpKgFs2a6d9H32Wfni17+Wo7/6laQwtWX2bP8dd8GzOIIdCLxr1qzx/8sH9Lty5Up5+eWXtY7HjRunHdAtvOjZS2C2dG2XIDECq9fAKgL7yopX6kZgLRw5ckTPlceuhg4dqhd/O4WpbQAv9lEfDaAVMOh1Z2v0F154QR8BE2k0jBkRwcGq8vJlSXrmGdnzN38jcb17S/npu5uBXFT2xpbm6Pett96SSwbT3OtDzybJM+BdA/3QKfCfc+fO1enZQm5ZrgzdNFTaTG8jnWZ2kk1nN/mv3Avel29lgvq0D6cIq2cV9/OnT5ek1q0lrWNHKV2+3H/hLgJJbFZWlj6vLvgdDh48KK+//rq89NJL+hgA634v9uFVz14abuqN/xN7Bw4cKINeGiRbt2yVjWc36k4OCCwjsLk37k4ho7woiXUORn/IHYLj7PYxY2Txn/2ZbPy//2/5rnlzKQ6xHMLUPurDB01g6dnUpiFzwTOTMm5kyEvLfUS266yusifmfiLLd6Vct3HDAu+LP5jAi3188803um0i7+FsTSvW31Y6yP7kE0ls1UrSFXko//Zb/XML2BO5lNWhe/z4cX0eaiD4BitWrNC/n/Z10qRJeno7aCz7eBB6rr1TK/MPzJcnJz+p5audX0nl7Uo5fOCwvPbaazpek1vQkW0CUx8E6NjUNigTmzbBsWPHpK3Kz3v16iXdunWTzz//3PE7BJJYyO8iZZeFKqcv27dPE9nEFi3korKnL955R156800ZPHiwxPj3JcEuqbNJXglM7cOLD7qNHXQKjBo1SvvUO0oH1rsH4mreVXl+2fP6dIin5z0tx1OO+6/cRYOS2O3bt2uClZmZqZMdAg4BpKS4RI6dPSbPzXpOfjf6d9LkiyYyZ88cnWhfy7xWpxSUaxowTBMkqzExNaZAEkvdP/rsM9muyHv8yJFymSN0nnhC4j/9VGIVKchQRk/vKcPqkDCICf+2c5rlKoHcvfveaUH8myQqMTFRj8SOGDFCH1zsFl707CUwW7rGGe7oiT4+QGAZgaXxZQoxm+wEIjU1VZ5R5OuHH37QpIMDm0mOaZispBpdold0w9Rjfm45q6ltAC/2gY7rQ8/YGEGAw6ZJXDhwmjM6sTvsCEEHBFTWE/D+/BnYwWFpO2HnTvn2l7/UazeSVOCuOnNGrqvf/7yyq02bNulgvHHjRt2oBY7kOkF96NkkeQZ8a8sP3QAdYTMkLXFxcVp36DMpIUn2n9ovPaf0lN9+9lu9RjZw12IrZvG+Thu9YNSHfVj1cIr79Ox//lZRkSSqBOZikyZy+ve/l8PvvSfxyp7S/bHcag/4O/4IDh06pG0yEOgSX4XIYj9z5szR58tZPbGm9uFVz6YNt6Vf3vWVV16R1JRUibsSJ08OelL+OPqPuvH9eMvHeg+IQFDez5HEIjwf6EvEZdo5YhR/Bo5IWPhWkQ/iTiCOKcLxnMonYlavluSePWXbf//v8n3TplJhswTH1D7qwwdNYOnZbZ3RLz5Ie4cQ8/k3uk5LTpOLqRfvGZHdG7vX/6QPbhPRYPC+9U2uIuHUqVMyYMAA3dFBxxlt0x7lj9W5uRKriNelP/5RTvzud3JU5VnJSiep/nxA5xnqPQNJLGR1z557yf22bdv0cR48w4gZncXkGABbbQz7qC89B37n+Yd8BJYNV6funSq3am9JQlyC9OnTR06cOKF1xJEm5BbkAeQQgbmV5cPEeMoIhqkPAi8xmjKxaRPQccY78+6QLr4/78a78t52eZXVwQGJJc4BZr7NmjVLr+kHrJG93KaNrPu//i/Zx6aIKmat37pVDxRYo73U+adKYnmvzxQXmjBhgu5w27BhgwwZMkQ/jx6xIfhfSlKKrNuzTtqOayu///z30mVGFzmZctL/W5T9qv9+wcu6EZIVPigF83e7e4KF+3jBo0eP6o8JCgoK5N1339VrPnGQ4R8Ml/Zd28tj7z4m/+Ot/yH/bcB/k9888xtZuWIlNdXPW72LTsu1hPtJRinT7no4QakYL4Zpdz2SUKY1VSVTEcuPP/xQTr35phz793+XS6rBLVMk89K5czLqiy+kY8eOejSREVR6/ej5IcmjbD46v48/CZxTp07VCQDA6Pg5+kUs7NixQz7lfCoFDJp3Ca5fsKArdNzQekYsXePE1ZXVWlYeXSntp7aXZuOayZBVQyThWoLcueVLdhECFAGFJMcCweVNpWN6dghAbMdNwohesTn0zO5m1ig35Xmts1v7CNSz3fVwwrPUmXKxBf7O+/NzQLI3duxY7ad0YkAaeqok76uvvtIdG126dNEkn0YfYD9WQ/yNCq5bJk6Ua4q0XlH2maoasCT1uzcrW6r1B1R+L72yBHBgV8dgqS/bMPVDYgd+SD3srocS3hXdkAiOHj1aOnfurMkKtjTkzSHSqU8naf1pa3l83ON6rfba42ultrpWKisq9fO8L9/Hbbnc79U+THQd6IP8u0LF3RqltxRlLzv/8i9l7X/9r/J127YyTtnIe4p8Yks0RjQ4gAbdIrGMiBw+fFj/HRvDV9HjVtVYW6DRR59WjDO1D57DvhpSz+jKIlyTJ0+WNat8M2M2Xdgk//r+v8o/vPMP8uWOL6W4tFhuV/viN0KiQH379u2rZ5BYsd2NWHU2ed/6itF218MJz/CuJCjE306dOulObXyJ2R1du3bVo1y8F4kQz2AzPDNz5sx74hX5wFmVS+z94Qf9s5qzZ+VMq1ayWdkn6/tLz5+XCn6HXz+m9uFFz6Y+iATq2WnZ6IzO6ylTpuiRo35KD7QD7733nnTo0EHnAnnZeZJ6PVWeW/icNB3bVDpN7yQ7z+/UbSoxCz+kXMq3KyOSePFD4jNx2u66nfAM9sGSqwMHDmg74GfD1Xt+t2aNxL/+umz98z+XtX/2Z7JAtWPjlG0NevVVeeqpp3RHr2VHzLQhzuOX6I68AF1aeRUdbozIWSDhtvIq6tEY9sFz1Nmk3EA911TWSOnNUpmxd4a0mNBCmo9vLuO2j9Pfn7wbnyOPtICuIRv8fPz48dpnrVl/+DA+zc+xIXQYWD8vtmHqhwh6pj521+yEd7cIIHGdjg1yKjoqAT5CXk5e1bt3bxkzZoweoSav/FDl99boK+0gsQ4wAGDlqBXKzugCzN68WQ797neS0KKFXFc+mqFs7A31J4N86I46m+Y7JvbBvZZteNFzpNiBnyF0DnE/+PHHH7UOsY/Vq1frTiNsi5HvMaPHSPt+7eUfXvkH+dUnv5Kn5z8th+IO6ZhVXlYuvyAIuBVeEOXaXSMo4PjBEojN6uO1b99eJz88AzDQoW8PldOXTsvnuz6Xfxr6T/IfH/2HrDt3d2oHZaKg4DKdCAEJJdtdCycYM4olWbG7HizB78/z/BxcVg3ruH/+Z9n3D/8gu//+72W8IrIH1MezQA8fhB4wqkovhQWM2vo9JIIzZszQhgD4ebCOeV+mJ6BrwHWrjpEEHZvqmYTfRM8IusLxam759Ljg4AK9uQBz4odtGlY3mhGoXzuQCEHY0Jn1bxwDEFQ++uije571Wmc39hEobvVsvTPvhX4o23pHgA8RRNu1a6enRVlgmuNERToAQYQpHIFTgiyb5XfNmj1bLipiUctsABWkYx9/XFKfflruXLjgv1tk6ZIlmgRbCbxdXe3E1AcRS8/YvN31SGI1BnbXAsXSg6VrSzcW6ARgxB9AQCaNm6TXyL611r/Z09T2sv7kerlz2/eNbpTc0PZlV1YkqQ8/tOKPU7HsSr+3esdqpfNrH3+sG9rMbt1kduvWstY/3Q7iSjLHd7VAxxoNE7ZBAkCDDPjdgXq0QPJD0sM17jG1D55rDD1Tb+xl4viJsmvXLll8YrG0nd5W/ud7/1O6j+4uFbd8ugl8Bt1ij/3799ejSNa7u5H6sA27a5HEix9iJ1bMAJ988ol8//33+u90bkO4LKBTnuFPiBnxC50Bfh5sS7SM01QyveuXv5SkJ5+UpGeflVJFTkgWud/UPhpbz27qjK4skB/QiQQY2WC2g5UvAM5gZOdPNk7pPKOzfH/J9x0olzXdbuOGJbwv39nuWiQhPofKK0NJoB38uH+/9FDf/SNFXlNV7pPSpo0kKvI+VtnDOf/oPKOsdIhY4HcwiohdErsYHMA/LfsLtjNsgYEGqyOOd20M+6gPPdNGlVeWy5gdY3Tbxc7p0/ZMk8rqSk1gg98dQCrQkQX+DRkBdAYwSmvB0qElpj6IePVDfMnuWijh3XmOwQ+WpzHyDrHCryw/W7ZsmR4kAeSt5ETkYBZo+xB+FzZHhy3Qv1//TdmTyvOTVLuapnK2b37zG5mp8jfoMyWY5pWIqX2Y+KAlxBfq7CR2WOAZOgGeVD7KTF0LtAvkWhbIs1buWCkvrnxRzyJ5avZTcjTBN2BnNJ2YSqIgO1BBSC7CPQh/DwygTPmg54x1Ud99953+GcP0jJ5lZ2bLjaob0mtiL92T3XFmR338DlMbbt+6fc/vcQOrXibgwwY2EOFAALzn/flTGWKlMvIE1Wif+PWvJaFVKz0Cu2njRhmiiCv6xNAhsSTGAL2Q4NmBZCl4PWwgcCjIDMkhv9stcF5TPVvvb4qqSlWuUvXyY8v1jp5MbRm+ebjkleTJrepbd/Xqtyv+DAy2X3/9tW5kWCxugc4AiBygwaLHh3e04MU2gBv7CAQ6dqNn6kw9g3Vglc2/eT96mbElawYAU8+xBcDPaGhIbIJBwCUo8z6AXYvZ7ImpxSmKyFaqRHO9arBeHDSobrTNDepDz3YNqxOgu8AEOhT4HsH6Rag7eqYDxJpuRgyzzivj+B12LWb9I2u3t5zzrffHnvEJE7i1j0CY+iE60u+v3reqsFAyFYG90qyZPgf25ooVMkER00Wq8QYkfXSI0HBZILZTZ3rq8UX0FgpMr6KjjV5jQKwyqTPgOS96DowHJpg+fboMnDhQOs3pJB1md5D2H7WXiVN9HUd2oDwSJBI/E/B8Q9uGBVM/xLbwKQsfK9vauXOn/judtyQzdt9wvyInjIaEAr9ztPLDUer5/B9/1J1ucc2bS0q/fnU7rZere0zsozF80AJ6NrVp4rg1lZ+ZSiTYVieABXYtfmHpC3XH7/wQ5+ucYxMfU/C+4Xw+HLAPL37IkYQHVfu07Fe/koP//M+S2rmzZCu7eUe9+/FTp/Q95E4QEQvU1WoLIWPWPi12gKAwqk2HivVdGssPvei5qrpKbtcoknarUsbtGqdzLKYRT983XefZdqCudEoyk4380gKzk1iPDOiQo2MqlM1SZ1N79hKjKdPKadwAeyT2WJukkh8Rs621m0uWLNEj94B78LHAvJPOXMgkAwYQ/8DYF4iyvXtl7y9/KRv+5E8kXhHlW/7cijqb5JXA1D68+CBtgls90+YzKLdq1Sqdt1ud3rQL5FqA9yDPSoxNlLi8OHl2/rOayDIieyb9TP2viWWUAkeHREEWEP5NI0Sw4KNaYFqGxbb5+JBYAi5YuX6ltPmwjbSb0U47GHP0y8rVR60x+6goy8SQMSJ6gJw22qyv4N3r3v/TT2WYcvy17dtLjCIDCSoZLPT33sSlpOgpGLpXTJUD8Tjsn37HR7QjsdxHcmidXRkMOgP4nTRipgk/zmZqyBiciZ4tMIV48aHF0m5aO907yBFMJVUlUphbqEfu0ZFlV/ydn1m7m9G40GvGdIhAQGKtJIjkmmcDA4qpbQC39hEIdOxUz9gIjUjg+9O7TiJI42FN7bVAB5E1BYoeQ4vE0hBDYoPvBwRsAnMgypU9p6pkkNGNPf/5nzKqe3dJMdzYoT70bNoI8r0jJRt8C3pMaagtHePH6Nna3Il4Za1FR1+Bh27n3MiREZtH6ADbYXoHWX1itS8hNAtZruwjGJYfUmc3oDEZqt5xuGpQVjVtKjv+8i9l81/8hZz3T5+brMiaNcJDrIbEBiY1lu+RDIZKCHknRt1o9AOf9WIfPGea1FGfUAmGE9TcrpFnv3xW/tf7/0u3V1MOTJE58+bI17O+9t9xPyjv57gmNlDPxC5rqiIzRyCxdt8QMmZN5QuOs9gP/snMm2plP+CmakMTn3pKE1mmFpcrHZeretc84BgdjPrQs6lN0/4v9B99xewjfC0w97IQnxsvg5YN8q2RndVFtpzZottgU/C++LEJgu3DKbJVzpNHR5qKPcUqHp39zW9ky//7/+pdiKvUN39XtZnWzCQGB+hwsoB+aROxZ2J/qNMgmGJMXjV79ux7Ympj2YcXPTMMeKP0hkz4foKPwE56UqbtnaaP1rEDuT4jrrR92GQgILFWnD958qQmsaFsljqb2jM6No3RlBlcbyegvsGbWBFrmPoKAkksOSg+Rv5tAX8jXu3bty/koBNLtGYuWCDju3XTmz2lKH6Q/vLLUqGIHW9rHSnmFqb2YeqDAB9Cz05yDvJ1BkIC70W3VodIIInlPbC/ixd8vnk+/bz0X9Rf84Pec3vXP4mlQK6hiEDh5wQPK5kGX375Zd3UDmsk1iKx61avk/kL58v0/dOl5eSW+tDlsdvH6ukPJqB8k4BhNSZOSQoOY71zJc6jjDtVkQaOo/jhH/9RvmYdrN+h5vk34OF385wTEkuSiA4DRz8s0BvEyAakxQt03RshMIP5P87XZwYTXJlCXHDTN0qDg1h6DRTqybeFwBJQ7er9UyCxlMO9we+PL0JIWaNq7RjMtBV2fKOHCzglsYzYWvYXiPLLl2WfSgjZOCWxa1epVuTN/dvWj54fJIm1dBwcv/gZ5fKNCayhSCwoqSiRkd+O1COyrae0lpl7ZhrZBnBjH8Gw/JB3coNb6v4bKulNev11PQIb27Kl5Kg4VaO+HWBqfjgSi774znS02e02iL0S14j9/D0QXuyD53hnE1h+ZQJGLubsnyP/Ouxf5b8P+u8yfvd4Kassk4+GfVQ3ymgHyouS2Mgkls478gZG+LEPxAJtILGc9WnBuHn0qO8c2ccfl+RevSR/1y49tdgt6sMHTWDp2dSmnZJYcK3omryz7h0ds2h7lx02zx9438Bv5AamCfS6rVvlCxWvMlX+mN6unWz7h3+Q1YoIEHXJweiUDEVisWPiEGSFn9vlVeSm5FV2RKSx7MOLnvNL8uWTTZ/ovNoaga2use+44HtAIMih7Hz+p0xiGXRjUysrRtPBwcap1v4PtIPhSKz1fZiKbM2wDAQ+TqfIBx9+KEUqzt06eFDSnnpK4p94QlJefFGuB5wO4Ram9tFQJJa4zkCL1SEAd2EfIMtPaReCSSwDhBaYRcIpJS0ntWzY3Ylh3hBVenSoYOBHp6crMPEmAC9fulxq7tTI+O/Ga2dj0fmEXROkutZ9TyGKMAkYVmNilIiqD3VNGWh8ixaS0qmTZCrCPko5+ZvvvKOTv1dffbVuETg6ZTidxBiwCJxRxmBAMpguagcc6h8VUSZos8sZv3/t2rX+q86BETd0YOabztg3Q56cqL7zhObywYYPpKA09GHQgWD0n/cmwDDqz3tDai1nxAGsqVUQPXQTaL+mtgG82IeXBhAENgg0sPgP5ICNctavX18XTNjcicYG0AlCZwmbXwWCoAIhI1kMxoW4OGn5L/8iE/7kT2T7X/yFbPqrv5INSoeFLnVWH3o2SZ4BthCJxNrBSnAA35hdoK3Ee+/evfes27BQUlkin279VPcUslkGa7sb2j4sP3TSoASiRn3/9Lfe0jErUcWs60HTOLEvCCogVhPDrWnrFmjkuc/uW9MB8A8qyWQzEMtXiVt8G+pqah8819AJ0s2qmzL2u7G6s4LG9PEhj8v7H74v773znl4rHO5dKO/nTmKZNWP1vNOu0SYGf0NmHDEDhfLogAvs+GAk5O///u81waDNI+4R5y2LL1NJdUr//vp80KtdusiNgP0nnKI+fNAElp5NbZqOIhJkQKcmeZcdQbOQV5on765/V08tbjWplaw7de8xM07B+5okz8A0gc45c0bWqPbpm//232Tj3/yNTOjVS6762zfqQ4yxOmdZyxo4kGLFZfIuK64FA13+8z//s7ZXcgfsjFmEAHtsDPsw1TODAu+tf09vlMlZsNP2hR6BBeShf/d3f6ffmffnTwaeLLukE8k6kohNRYnpoWyWOpvas2mMBpSJL5mAZWhskEZuxEABGzRZwF7oeAPkCPhYcP7EUhnsLXhEF7APwL8ou2WDP9rR11UMG9Ozp8R266b3oIjv3VvKDImsqX00FIkFrHslZydXgPvAayx/pF0g1wK8B3wxuK1MLUzVyyEalMQCeu2pIL3UgQ6M4violrFBeFNSfYGoorpCJn0/SS88bzmxpYzZOUaPeLiBaQJtNSZuk9AaZbwQ2CuPPy5XW7eW6/41maw1ozeQ3itrLRjg99NgW7t1YfQWwQ0Ec8atXXWDwZRHNnLC0QiyEFiTNVd8i4YMzIxmMF1cJ4LjH5dPtnxy35EU4YCtsJ6Fd+e9IXQQWytgBu6YSm80PTqBSZipbQBT+wBeE6TggMG35psHT4mytsAH+C5EnvcNrDPfHD3ZJafY4hblrweUbk/26CE/KhJy4Ne/lqww67LtUB96NkmeAe9nQmKJVwRPS1fo1up4o/fQbrQRlFaW6hHZpuOa6mSB3m7WILmBV/tA104bFFCdnq4JbEzTphLfoYMU+wlGILARa1d0vge2FNhYUl9IrbWJRTB4lsTIilH4Kr2xfFfE1D54zvJ3t6DObhtuvu/obaN1hxvT8eYdnifXcq/J9zu/1+vuIv0+rv/cSSy+ZCV9dK4xSybYXvEx4hd15s9AEovvkUtYtsTmfVZPvoVKFfdSnn9e77SeqGJXqb+T2CnqwwdNYOnZ1KbpYLI6Kvk95BaBfmoHCA4jsuxazH4U8w/OD0tw7MD7RionFEwS6AplA5mKWDF1/FiTJnJGJcJ5AZ1q2CntorXMgbYsMDYR1/m+5FTWCFswyEvJ19ih1rIza1SIOjeGfZjoObckVy/PIsdqM6WNLD2yNOQaWAvYUXC8pkPA8lN80FrHSCcT7UGoNoc6m9ozOnZrGxYoEx8wBd+fvCq4racts47QoX74WKAt8H1oC9GhnU6wOXRr5a3r1q+X3QcOSJHSb+qzz+qYxeaa5ap8tzD1w4YksYB8At1aG9paoF2w8lh8FN0HzviykHE9o2FJLC9nkuwD1h19/ePXmsQy7eWTbz6RovJ7RwDCgQ9qEjCoMx/GTb1vKePMHDpU9wDHtmoleUuX+q+4R+D0hIZCQyZIjGZM2j1Jj7QzhfiLrV/IzUrzgGMCU9sAJvZhAR171bObgBEIOlBMAvttZdvXBg+WZGXXSYroFDJ13WEd6kPPJskzwKZNSCyjFzROJuXqqcWbR0qLiS20bbMGydqt1gka0j6qkpIk/Y039PTLq+3bS5ENgXUCEppwIz7h4MU+eK6hEqTiimL5bOtnutNNT8fbPd11sk95P3cS6waUCXEw+cYVisgmKl3HNmsmSYrI3ti1y38lMurDB01g6dnUpk2RW5orQ9cO1fGKzjemykciOoHgfU2SZ+DWPhhpT1bJvj7TXH3XCv+6aTdAv5B907y0sezDrZ7TCtNk8JrB+ru2mawI7CHznBSY5B3U2dSe0bFp7KBMk1wHmNoFoAMucKDKDW4q245jRgHr+p9+Wkr9R0g5hakfNjSJDQQdTSa80ojEohyTF8Ug6G01HcXl/MX5++dL66mttTMOXT9U7wrqBBiyabkYhNMPU60CYvqrr+qewcSOHSVr8WKjDSUATmCtc3QL6sv7mhgUAcMk4QcYslM9M5rBtEuSfBJCyCwbDpiAXjG7KRtO4MU2gBv7CAQ6bgg9B4O6QsxMyUZ5RoakvP22xLdsKfHt2vmIrAPUh569JBuBozhOwcg9ujItF3ue/P1kvaYfO2f6aVmVs8Sloeyj4vJlSX3+ed/6wZ49JS9gq3u3oNfZbr21E3ixD54zIVYAHTtNRJl2+cHGD3zJ4JQ2MufHOUZ1pjxIrMlMGdBQMdoOpn6I/znVczBY7mDamQRuxMVJ6uuv6/VmCapdLgqYFhgODeWDdkDPpu+LD4YaWYyEwuJCPcuADhqmyus1kw6XcPG++LEJ3NhH2YkTktynj86zklSSX2gwVRzQFtI5YjfK4wSNZR9u9My0y5eXv6xnjXSe2Vmfvc/uxCYg77+s2guTb0ydTe0ZHZvGDsrEl0zA+5p2yjDSao3UmqDw8GG9MZ3mEt26Scnevf4rkWHqh15iNG2CqZ4BfmjNmHAD43NiSe7sroUTDJGheYbYMSy7e8IJO31yIPfSw0ul7dS2+oyzN1e9KSn5vmkzds9YgjGStNtdCycYMM/xce2ua1HvQkgou3hRT126qpLB+M6dpXDrVilV71yuxPa5MIJ+GFKHxJroivoSmMPWO4SQMFi9wG4FB4ikZ3Dt+jUZvmm4XoPDWbActl1ZVSkVN30jZnbPhRL0Q+eI1aNqd084wTZM7BlxZB8hBB171TPl210PJ9SVESBrV0a7e8JJudLxDdZODhsmV1VSGNemjeTOmSO3aKTC+KGpDyKWnt3ahiXYNAHW7looQTfoCKJhWm5lmbLpygqZsnuKJrEsiWAHY3YyBnbPWPJA7UO9GzGr5Ngxfabm1WbN9I6uRSoZLFXXqwzsGX3RaNOhZOqHpvbBc7yz3bVIgo6xD7trloDU/FR5e83bejpe2yltZeHBhdouym+Wu/JDdEN5nBPLZijA7r5w8qBjdCjx4of4XyQ92wl2RVuGH5p+41L1O0qUXaYNHuxrn9u1k/ylS6VG2Xm4mFUfPmh3LZJYejZ5X/TFlFk2dHLrh3zXqrIquVl+U0ZvHa3jFXHr8+2fS1GZb+ab3XOWUGf82O5aJIloH4pw8q2KVTKf2Lu3jllJfftK0alT+vvaPhNBaAvpHGEZl0lb2Fj2Qb4STs+1NT6yGJcdpwksMYvzgLdf2C63q29LeZmP5LgR9EN9T58+bfSNTe0ZaUw9W4TQjeB3bAxFXmp3PZJgl6UqBpTGxEjKSy/pWSR0vhVu2KAHxcLFLCSSfYQS0xiNEDvQs5u20BKegcSa+OEvqLQb4YPSoFhDv3b32An3ohxILCOMKNjuvlDC85RZcqNEblXdko2nNkqHqR30+o3nFj4np5NOq6/q6720exblMrRvdz2c4DgolrrbXS9Tv7tCBdeCw4clvlcviWnSROK7dZP8HTukQhlbodIVpN2NrhD0gxPwYd3qCqG+YesdQqgniTvits5O9MxJzvHX4uW15a9Jk7FN9CYSC/YvkKqKKqmuqNZ1xgHtng0l6Ic58+yWSsCyuyeUUGfs2cQ2kIj2EUIC9Wx3PZzwLDoyqTPPUmdILDvqmfghdS5Wei5VRDb1gw/0uu8risymjxkjN9X3L1cBye45Ux9ETPVsCbHDrR+iG3SErijXzbOW8L4Q2dKbpbqjBntnnezbq9+W5Oxk7Q92z1l6fiD2oa5z5Ejenj0Sp2JVzGOP6dhVsG+f/nk+cdalDyLoi7XXjMaa+KEX++A5nnf7jSLpmWSPduVi6kV5bsFz0mRMEz0db82xNXKr8pZUlFVou8Q+7Z63E3RDfdnQg10rabTt7gsnVp1N3rc+/NCtfVAu/ocf2l0PJ9gVOQO5A+W6fWeE96VzpkS1ESlDhuidt6+0aCGZM2b4/EElYHbPedGzaYxGAvXstmz0xVoziKxbP7TyBmz7evF1mbBzgl7C9fi4x2X4huFyLf+a1FT5kl078eKHYe2Ddkol9lnLlkksxxU2bSoJzz4rRSdPShn5l4GeKZP3Jb4zi8ttW4g0ln3wHHmLXbnELIjqgdgD0mduH51ndZreSbae3Sq3b93WObSpH2Ib+KHJN/ZiG6Z6RtAz9ba7FknC6Tmc4Hd05jJqbVJn7YeqbD1goIhw8muv+U4LePJJPbuzDL8O49sm9eZeywe96NlNW4hQFs/QScnAnVs/bNA1sTTW9HrxgUzAy2EcFnZc2iGdZnTS0ySeW/ScnEkLvQAaps8LuwXTTVAwPSuhUPrDD3e381eBNXBHMfRED4UJSKBxAhNQ30j1DoVgPbsBPSPh9BybHau3xramtmw8s9F/5a6usRO3YATIdPqUqW0AJ/YRCujYq54p3y2oq5fpxIH2UasCV86ECRKvgmtcy5aSNXq01KggaIf60LOJbQDqbOKH6MjLNEbel29lYc3JNfoMZEY36CGPybLfGAo8SPso3rpVT1EiZqUOHCiVqqEE3O1Fz16mE3uxj2A9uwE6xj5C4ULmBXl+yfN6NKP7nO6y89Ldo3PQE/py64eUF10T6xzkDPih6TcOtI8alahlf/GF3rOCo+9yJk6U2hCxsD580ASWnk3flw5da2MnNwi2Z/YimXdwnp46z27r7657V3JKQu/TwfvixyaIZB+FK1ZIfNu2enpl2uuvS5WKNcCqswloCxkoIHk3QWPZRyQ9/xj3o45V5FlPz39aDsTdXVPpxQ8pF7Jh8o151tSe0bFpnSnT1D7I3+E7JmA6MZ1JJsAu7/HDvDzJHDZM2358mzaSP3eu3AmjS1M/9GIbpm0h4Bk2cqKjwi0eaRILdl/ZLT2/7qmdlT+PJN5/HhMwTZCsxiQUSbnx3Xe+ZFAZF8lguXq/QERJ7F0cTToqz8x/Rn+rrrO6yq7L926wYenaJEGKkljnoK71RWLBHaW/vJkzJb51a+0HGe+8I7ey7j+qpz70bGIbgDqb+GF9k1iw5dwW6Tarm/aDZxc8K+cy7NdFPij7YA1zQrt2OolPe+01qQzYrdOrnn9qJHZ3jK99YdkDfx5OuPccZfSEvtz6IeVFSaxz1CeJBbdVu5wzfrwmsfjBtREjpMYmgaoPHzSBpWfT960vEgvuqP/WnV4nHWZ00Jtqvrn6TUnO9+1QHgze1yR5BqHsg2Q9f84cnbzzrTLefluqAmIMOqLOJqAt/KmR2G0Xtkm32aHbFy9+SLlREusM9UFiA/PKWhWfsj79VOKefFLHrdxp03Qcs4OpH3qxDdO2EPDMz5bEgnPp5+T5xc/rROOpOU/Jzsv3HzJvmiBZjcl9JEX9u3DpUj1PndEMksFq/zEugYiSWB8OxB+oSwYhsnadDZauTRKkKIl1DupanyRWQ/3O6+vW6bNF8Yf0N9/UO94Goj70bGIbgDqb+OGDILFgb+xe6TGnh6+nfN7Tsj/u/qM/6ts+7qj3JxlM8I9mZLz7rtzKy/Nf9cGrnn9KJJaZPl1mdtEx68WlL8rZ9PsJJ3pCX279kPKiJNY56pvEAjrf8r/+uo7IZgwdel8bXh8+aAJLz6bvW58k1sLW81v17Cn8gZlvx5KO+a/cBe9rkjwDO/u4rX5f7pQpOnFnpg8j6MEzfdARdTYBbeFPhcTyzRYdXiTtp7XXnQ2vrnhVz3wLhhc/pNwoiXWG+iaxQHe+TZyofQG59vHHcstmQ1NTP/RiG6ZtIeCZnzWJBVezr9btwMZ0vSVHltyzNbxpgmQ1JoHGxNQjenF1YGVdzbBhUh2CQP3cSSy9uBtOb6hr/Pov6m+bDAJL1yYJUpTEOgd1rXcS60fJ999LYpcumsimqCSdXSQt1IeeTWwDUGcTP3xQJBacTDmp/QG/YFnE2pNr5fadu3ZUL/Zh/Vs1Dtmff653lNaN3yef3EdggVc9/xRILMflLD+2XDpM76Dbk7fXvq13+LQDekJfbv2Q8qIk1jkeBInVUO+jO6M7dPDNpnrxRalQ5VioDx80gaVn0/d9ECQWMBPh2fnPar9gtI9ZJYHgfU2SZxBsH7dU/kOSTo7FchVGnu7YEAp0RJ1NQFv4UyCxVbeqZMYPM/SxSCxVeX/D+5JVfP9sKODFDyk3SmKd4UGQWIAP5M+bpzenI2ZxGgrnYQfC1A+92IZpWwh45mdPYgHH7QzbNEyv3eAA+onfT5SSyhJ9zTRBshqT2/4PA1nN/OADHViR7HHjpDbM+/ycSWzlrUqZ9eMsaTO1jW70OKcsKf/e0blAWLo2SZCiJNY5qOuDIrGgdP9+3/EHisgmdu8uxdu26Z/TfHnVs4ltAOps4ocPksSC5IJkGbJ2iE488BOOs7DOkvVsH/4YXZWcLOlDhugGjyl5ebNmhZyG5FXPjzqJLa0qlSl7puhkkJg1bOMwySu5n+xbQE/oy60fUl6UxDrHAyOxfpTs2qX3tWDn4qRevaR03z798yr1no2pZ9P3fVAkFlzOuiwDlwzUeRYDBiuOrfBfMU+egbYPf4yuiImRNP9RhSx9KFi4UI+c2wEdUWcT0BY+6iS2qLxIvtrxlT4SiaMKR307Sm6Uh27bvfgh5UZJrDM8KBJroXjLFt9MUOUjyc88IzcDzkk29UMvtmHaFgKeiZJYP0oqSmTi7on6fDMcmjP9rhX5zpLVO026hG5M1LvyWSouXZK0QYN8PYOtW/t6Bv1BNxR+jiT2zq07+jzFUVtH6W/QcnJLfe5c/s18/132sBpukwQpSmKdg7o+SBILOHuUKfYc1p3Qvr0ULl4st9Rz5YaNmBfbANTZxA8fNIkF+aX58vGWjzWRJREZ+e1I7T+cgWNqH7VKX+yOzkg4a/X1d+jQQYrWr/ffYQ+ven4USWxVpbILpWtGLjj2i+8AiZ2wa4LcqAjvI+gJfbn1Q+wxSmKd40GTWFCukvOU/v19nW+dOsn1VaukQum4yuW3tVAfejZ93wdJYkFCXoK8seoNTWQ57nD+wflSVVOld8U1SZ6B7jBQ5ZYdOaI3yKzrBN261X+HPdARdTYBbeGjSGKt/Dv9erqw2RbTh9l8a8a+GVJeHT7PjZJY53iYSSwoYU8e5SMsh0js2lVu7Nihf16u6hwlsWHwMJNYwI56BFW9o96kJ/Q043Np51SW5L/BJUi8OZss+emnfcaiGrhC1cCpF/LfERo/NxILLqVd0ps/6KTcPyJOAxcJXhKkKIl1Dur6oEksYDqYnrWgkhHWnWV+8YWUqp+ZwIttAOr8sJJYUFpZqnvTIU8khvjPpfRL6sX9N7gE1pi7adPdBq5Ll4jJIPCq50eRxKLjMyln9K7p6J41ZcuOLtPtSCSgJ/Tl1g+xxyiJdY6GILGAaXmpL72kfSahTRvJGDdOKgzjZH3o2fR9HzSJBXS0jfxmpG7n6az+cvuXkp6b7r/qHtWqXcpZvVon47QZenQpYDlKKKAj6mwC2sJHkcQyrelE0gkZuHSgNBvfTC9HYdlW4HKUUIiSWOd42EksuHn8uF66pdv5zp31Lt5lJSV65ptbRElsBPCSDUFiLaw+sVqvxSQx6TWnl3x34Tv/Fee4o4woe8kS37C9MhKmSVpTjZzg50Zi2bCJs8noGWw/vb0sPLRQqmudBQEvCVKUxDoHdW0IEgv0jnojR+o1TVdbtJCUwYNtN0CLBC+2Aajzw0xiAX7CxhysxSQxfHru03Lg6t2jEZxC7+a5aJHEtm0r8SpmpfTtK2VHj/qvhodXPT+KJHbflX3y1OyndMyykkGnQE/oy60fYo9REuscDUViwa3MTN35RsyKbd5c0oYNs908JRLqQ8+m79sQJBaw9GHO/jl6NJY8a8DCAXI65e4Rg05xW9lyzowZcrV1a4lX7UTq88/rmW9OgI6oswloCx9FErvl9BbpMbuH3k+h74K+cjDhoP9KZERJrHM8CiQWsGSIUyGs9eOpI0ZIpc2eF5HwSJJYPpIb4QU51JbC+LvdPXbCvbwgjTYH8WKUdveFEp4n0HCAr5Ny+f0c7Pzd+e90gsIh9W0nt5XlR5brD8W1UL+HnxOWylVZmRMnymWVCF5p2lSSXnhBrp8+ra85qQOCnkiEnd5vCXWElPFh3eoKIWBYB1rbXQ8l1NONnrmn9lat3Kq+JRtObZDO0zvLY2Meky4zusimk5ukprpGqqt8nR5OhDpjJ270hX6uXLmiG26rg8WpUI5lz3bXI4mlZ+psdz2UUC46dqrnQOF+kjrrUGo3wrPUGT/MU0HOxA8d11tdr1ANSLmy/4zJk+VKq1Zy+Y9/lKQBA6ToyBGfH6nG0PbZIAnUs1t9Idi0Wz/EB9ERujItlzrzrZw8i5/UVtfKllNbpNuMbjpmdZzaUdadWKf9iGuhfg8/R59l+fmS+dVXckUl35ebNJGkV16RIhVDoO9O6uBFz9hSbGysJCYmGvuhiU0jbvTMPcT/0rJSWXJoibSf2l7HLDrfdpzboa9VVkT2C36P5Ydu4iy6Id7069dPjh49qhMVu/tCCeW6idGBElhnu+uRxNQ+uBf/o95218MJdkXOgB86/cbB4tg+1HWmtN5U96ePGSMxqu3Hj5IHDZIbqnztRyou2D4bIPWlZ5P3RV8kz/Hx8a78kHL4rpTrxJ4ryit0zLpVdUtWH1vta/u/eky6zugq3579VucFxC3us31e1ZOYdTM9XTJGjZKYZs3kspLkt96SG3FxjvIsL3rmWd4TUpaTk6Pjvd19oYTnG6oN536G1gpuFMiE7yZIywktdfvw8tKX5XzKecUgnMV37vHih9T3zJkzOla7fWdTe+b+htJzoPAscdrkXfE7OpFiYmJcP4u48kP1+/GVUmXDaZ99JrH+mJX02mtSovJiNzELHWMbbuvM/W7qHCg8yzN0UmZnZ7v2w1/wgBvh41BZHIG/291jJ9xLZWmIMAw3zyLcT5kYlNNna24pr78jcjH9oryx4g1pOqapnvbyxbYvJOt6ljDn7r7fpZJq+phKmFb07rvaIAiu6cOGSbkilVyrclF36owTmbwvPTmQWLfPIgQcjJE/7a6HEspCx070TAOGDnOLcmXM9jHSZnIbaTK2ifSd11eOJR7T1/gGds+GEsuB7K6FEupJ8kzQoIfQ7p5QwrM4EM5rdz2SWHo2qbOlZ7vr4YRncV6TOvMsdabhJjHk33b3hZLAejt9tlolhdxbsH27XO3ZU2KbNpX4Ll30DAd8SfuUzXOBYqpnS0z8UNdZ6QhdUa6bZy3hG/GtnD6rY5bym5PJJ+W5hc/pRAW/GrdjnOQV5+lkJfiZamXz6PiGajAZ6Y59/HG5oiTlo4+kQjUKbmKWFz3zjiTPdCY1tB861TPX0W9WYZYM3zBcnpjwhDQd21SGrh0qSblJur1wWnd+F2W6jbP8fuwREnvixAlNYu3uCydufdASq86NEe/wP97b7no44VlyBnIHN74UKG79UPuMesfsxYv1jAZiVkKvXpK/bZtU19bqqa92z1lSX3o2eV/uh8DSmeTWD/mubu25tkYFJfX/wbiD8vTXT+scoN3UdjL3x7lSVlFmH7PQodLx9UOHJOn5530xS+Va6Z9/LhV5eY7aBEvQEXW2uxZO0BPvSXyns9KtrpCG8EPuRYdJOUnyzpp39IZz5LIfb/pYrl2/pmOW0/K5z4sfomf8kFjttExL3PqgJdxvqmfE1D4Q6gzfcVsutsSMJAZXTOps4ofaZ1Rdc+fPlyutW+uBt4RnnpGC777T8Qqfs3vOEupp2UZD1RmhLJ6BxDL71K0fGk0nphAq7BY01lQUozCBpRwTFJcVy9jtY/WGT0x7eWP1G3qXPTvc3L9fUlWCEd/ct5tnxvjxUqscwQToiY9kAgKr6XRihucJNCZD+270zDlk76x7R689bjWllV4jk5QdegfiSKDOTqdQBILpxJmZmf5/uQPTTQh0pjDVs+WEJmDqhmmdqSt+SKNgAlM/5KsWqXIz3njDt+ZMBdqcsWOlxuE6WVPbANTZxA/REboyLZdvZDL1EpC0DF41WG+M1mJSC3l73duSUmg/RbB0zx5JUQ0WOxUmdesmuQsWyE3VGJnAi56ZTpyebrYuzosfutEzcZ/4TzvAjtBjd4yVolKz6YToCX25BfbIdGISaBN4aQu9xA5gah9WsmICcgb80NSXTP2QiFGwe7ekDRyo84HEdu30Wct3HOivPvRs+r7JycmSarBsw9SeLej9MFa9qQcLyAc+2vKRPjXiPihbKFq7VpJ79PDtrtqrl+Rt2GBkH+jItM60hUwnhqyYoKHa8AMJB+T5Jc/rmMWO0FN3TZXyKjPb8uKH1JeYZTIt2NQHATo2rbMX+yB/h++YICsry3g6sZf8HeRt3iwJKg/QMatjRylctEj7XCR4sQ2vsYMBO0iwW/yk18QGg2ktq0+u1uueWEvw1Jyn7jnnjHUZ+fPn3922uk8fKfrmm7rdiU2AnkyD3MO+JnbX5V3S6+teWpes41t8eLFUVlfqaY8mwGGps0mgi66JdQ7qih/S42YCUz+8pepM11dNfr5kffqpPmeZIy1SBw3SO4OGgxfbANTZxA/RkZfkmW9k0uBrqCILbxTqTerYbIgNPJ5b9Jz8GPej/wZ1i/r9ebNn+2JWs2aS0q+f3t0Ta2SHQrf24VXPD/ua2G/OfaPjPqMZHWd0lFUnV2m7uF1jRtrRE/pyq2fsMbom1jnIGfBDU18y9cNK5UOkfreuXZPM4cN15xvnLGe+/75Uxsf7bgqB+tCz6fs21JrYYLA78fWb12X2j7P1xprkBi8seeGeNZvE/+yvvtJr99jASZ/Nq+I/VKHCQaIdDHREnU1AW/gwr4llQ0w2mWNvF2JWjzk9ZOOZjXKrUmnLMCn14ofUFxJrQuxMfRCgY9M6e7EP8neTzm/QkGtig8HJBCVnzkgGR+upmIWvZX/xRcS1/V5sw0vs4Jnoxk4RgNPpoxQU9sftl+cWP6eDQuvpbWXiwZmSceG45I8a7duARhFYziizNhYoU2WaGtNPkcSykyrnWZJYo0MS632x/s2ulP16bbhNEqQoiXUO6tooJDZAzxxNxS56eidK5W9JPXpI0caN+podvNgGoM4mftiYJBYd36nxfd/vY76X/gv766Sw/axOMuXwHMm5eFryRnxSd2Y1GztU+RPrGvWNTezDq54fVhKbfSNbJu2eJG2ntdU6ZFTjQJxv0yymcDd0w015URLrHI1GYgNidK16b47V49xSyBcdRiV79+prdqgPPZu+b2OR2MD3pcOo++zuOkfoMKeLLDu/Xq6fPS1Zb7ypEmvfMYVZKrGu9s/cYMmDiX2gI+psAtrCh5XEcuQXx60xqq1nD656Qy5mXtTXqip8U1ZNECWxzvGokljOiCdC1xYWSs6ECRJPzFJ5VuoLL+hz/EMhSmIjgJdsTBIbGDAyizJlxI7PpO3szvLaoH+X1b/9azn9+1/Ltc7dpXDcBKnJ9e3sxefwYkw/NRJ7JfuKPnvXOj5n2MZhklp4d9pSpMAcDl4SpCiJdQ7q2tgk1sLNI0d0YCXAJrRtKzkTJ8qtnBz/1bvwYhuAOj+KJDZQzykFqfL+9pHScVp7eWvAv8rGP/6jXGryB8nq+pRcn7dAbgfEVVP78Krnh5HE/nD1B3lx6Yt692ESQs7ktc4OB+i4oRtuyouSWOd4GEishnr/kl27JKl3b7narJk+Aztn8mR9nFgw6kPPpu/bmCQ2kOCcz7ggb2waKm0nt5F3B/67fPvY/9QxK7t3XylesVLuBNxrah/oiDqbgLbwYSSxe2P3ygtLX9AdAOz8TAdcYVmh/+r9enYDL35IuVES6wyNSmID7UP9juJt2ySpZ0/d+UbMyps+XW7b2J4X2/ASO3gmSmIjwC5BulGQLeveflpW/c8/lVX/3/8hC//jz2Xe6AGSV5rvv+NuY2JqTD8VEsu0lrWn1kqvuXenD3N8DlvsByJcYI4ES9cmCVKUxDoHdX1YSCxgikvWZ5/p6cV1vYU/3p0yC7zYBqDOJn74MJFYUHj1kmzq30ZW/8P/LStVzFrwu/9X1k15V6r1BOK7MLUPr3p+mEhsTkmOTNkzRccqYlbPr3vq5SSVt+7VKTpu6Iab8qIk1jkeGhLrR8WVK5I5bJhvSuwTT+gpscEjHPWhZ9P3fVhILMg8f0xW9Gwiq/7uv+iYNe+PfyUbl32hpw8HwtQ+0BF1NgFt4cNEYolZk3dP1utem01oJr3n9pZvz3/rv3oXdnp2Ci9+SLlREusMDw2J9aNCcYmMd9/1TS9u0UIfI8a52IHwYhteYgfPRElsBAQnSGWnTknWW4MlvXV7udDsj7Ki06+lz4d/lBZzOsirq9+QQwmH/HdGR2ITchP06MWTk5/UPYMvLntRfrx6L8mwYBeYncJLghQlsc5BXR8mEgvuqJhyfc0aSerVq26EI3fyZL1+Sl9XYmobgDqb+OHDQmIZsSj+9lvJ6NtP0lq1lVNNfivzev5Wuo1qKq3ndpFPto2ShLwEfS8wtQ8vPggeFhJL/H55+ct6Qyzk9ZWvy4XMC/6r9wIdN3TDTXlREuscDxuJBeyhoZdEdOrkm0lCzJo6VWr8iVitirNe9Wz6vo1KYv111jFr82bJ7NtfUlq2klPN/yiznv6ddP2smY5ZI7eOksS8RH0vMLUPdESdTUBb+LCQ2P3x++WlZS/pWW6tJreS4ZuGy9UcexKk9az0awIvfki5URLrDA8biQW1JSU6RiV06KDzLEZnr69bJ7f9uuV0FlM9e4kdPBMlsRGA61QoRbH+InfKFEns0kVvhMLueDdXrpaMzDiZcGC6dJjRUa8/YCE9h3gX3ixUwdgsoIPGIrFWI2hiULq+ynduVNyQNSfXSJ/5ffSmMoxoTN0zVfcWhgLfODAwu4Wp43ohscGNiVuY6rk+GkCTch9GEmuBzVKuffSRb4RDJYZpgwbJzYMHNYktV7ZlGtSps4kfNiaJrVJl0nxWK1LISHV827a6FzX5qZ5yc816SctOkPH7p0n76e11r/0z85/Rm36UVfl0zFmnJvbhpfFsLBLLGjHAlLuZP8yUTjM76TjO5k1T906VvNLQB797SZDQE/pyC8psLBLbWDHaS/JcHyTWxIfRcSQ9lx09KmkvvyzxLVtqYaM6lkmgIWKWKdCz6ft6JbGmKFc+zBtXJSbqzftY98oUxvQXXpTqg0d0R9vQb4drkoZ/PrvgWT3SWHtHPaVClbVviRugI9M6Ex8bi8TqRk3xjPzSfJm+d7recJQlDx1mdJB5B+fdN8stEJ7alUYksabtKDo2rbMX+2gsEotdUmfTdjiSfZQeOKBzK30CS6tWkvnee1J2/Lg+iodzsk1g2hZaMCaxVPe2qjQVcCoYlKVgN4Lh4wAkhnwku3vCCR8Go7K7FlJ87ynVygFyNm+WFJU4sCMqG6Gkv/OOlCnFWfdwPyOMA5cM1L1hLSe2lFdXvCrbzmyT6ls+Q3Zbb/SE89ldCyeUwwHcly5dMtIVBszxIPxpd91OKAewu/Chq4fkzdVvaj0wFe+lpS9p3dy57bvH7nkEhyfhsLsWSQhw1Bk7sbseSqg3wYKjPUx0RVD3Wmc3erYEW3Ztz36x9Ez5dtfDCXXFD2m4TfRl5IdKIurZsj91X+H69XfXnXXoINdGj5ZCyKS6rmOW3fNhhDq79UN0g46sRtvunkjC+/Kt7K6FFK0F1RCpgJ6zdu3dmKWIfQaNDTHBf89t9f33xuzVO4Dip6xTf3vt23Ik4YiUl/k6Gt18Y1MfRCiH8yk52qOh/JByQNnNMjlw9YDe/ITkmLg1aNkgvXlTpJiFLWMfdtciCXpCX278kDpTXv/+/eX06dNh6xZKTH0QaYwYjeB/JnpGX+QM+KFrX/KLkR8qiRij/fZXXVAgOWz61LGj9lVGZ7MmT5biuDjtq4jt8yHE0rNJndEXZ8RyzI5bPzSxZy1aCyIlKmfhnEpOdtCxu107yZ4wQaoCdkXlaJjlR5frXcKJWexizEyv4wnH9e7GwLaMEIKOqLPdtUhCW0jnSGFhoWtdIRHtw0as4M1JDt+c/kZeWf6KnuFG3OLvh+IP6boAu+cR7Jl4aXctknjxQ8ql482kbFMfRNCxaYz2Yh/k7/Adu2vhBF1x5GNsbKzt9Uhikr8HSlj70JYlckvFrOxJkyS+fXvtq4mdO8s1FcNKFfkGbmOWcexQwjN0JnEuv1s//EVxUpKUqcLL1AvzwSIJhsSZWhTG3+3usRPu5QXPnDmjzz/FKO3uCyU8T6CBqTsqV91DLyjvVnjqlCSr5O9yy5YS06SJxHXtKlkLF0qp+n3lSgkcocMzHMFDEE3LTZNxO8ZJ2ylt5bExj8kT456QERtHyJmkM1JTVSM1lb6eHSeCnkiE3egKQT+QMj6sW10hGHF+fr7+0+56sDCSwbvFZMTIuG3jpP2U9tJkTBNpN6WdTNg5QeuEEWl0ZPc8wjuSbFCu3XUnwrPYiRt9oZ+YmBjdcFsdLE6Fcix7trseSSw9U2e766GEcrFlx/YcIF70zLPUGT+kk8TED03qzb3o2UmdiUX45XVl+6nDhsmVFi0k5rHH5Iry28yvv5aSrCw9q4Jdw+2etxNih1s/RDfoCF25tUlLeF++laNn1T3ELP4sOHhQEt94Qy6rxoVDy+N79ZKsRYtsYxZ+mZqTqs/BbjO5jY5ZbSe3lVGbRklsRqzUVtXqIxnuK89GAu3Z7fuiLw53ZzTW1A/d2LSOxUoup1+WERtGSOtJrfW7d5jaQSZ9N0ky8jPkTnXkmIUtYx9u35f7LT90GmcRdEO86du3rxw+fFg34Hb3hRLKddUWBkhgne2uRxJT++Be/I96210PJ9gVOQN+6NiXgoQ6u32We53GOkYgOdIqf/duSXr5ZbnyxBNyWcWs2J49JXvVKinJzdV+W6YIhN3zwWLp2eR90RfJM7OT3Pgh5fBdXdmzKqtcxWJiVt727RL3wgtyWcWrGCWJzz8veTt26DhdrpJx7uEZcg3yrNNJp+XDDR/WxayOUzvKhO0TJDErUY9Qct995QUJdTa1Z57lPSFlnOkJubO7L5TwvFP7sIR4RTyCsA9bP0znlrx7t5ndZNr30yQzP1O/Ox2Qds9bQvwgXjot1xLu9+KH6JmON5OyTe2Z+93q2RLu92IfpnrG7+hEYial22cR134YJBHrrX5OzCLXImYlDhyo84wYlW/E9e8vuZs3S6mqA77tJGZRjmmdeZZn6KRk9NqtH/4i6dlnJX/FCrmlDNsp+4bhU7DdtXACU6fXi5e1ux5JcKJIoyn+Ti6Nivh4yZk+XRK7d5dY9XFiWcyskuLyixf1faHeVUNdZF3Ve+vfkxYTWujptN1ndZeFBxfqnY0tROo1QE8YtN21SEICjRPYXYsk9OBgGOF6cqzePsC0ac555dzXZuOa6fd9ZcUrcjD+7vludr8jWOj1wrDsrkUSkjnqbNLL73Uk1mudTXrMsOVI9hxKLD2b9HpRV/yQIGd3PZI48UM7caVnv23eVrZQtGmTJD3zjO6A4vir1Ndek+KdO6VG6R1oP47w3amziR+iI3RlYpMI7xup9/muF6qYpZLPzJEjJb5jR92oXG3dWnKmTJGqtDRHMYszZF9b8ZoeiWwytok8PfdpvQFbVlGW7x6FcD7ixQcRryOxkewjUFkp+Skyd/9cvfkJ78oo9IjNI+RUyin/Hc5iFraMfdhdiyToCX258UN0Q7vAdGKImYmuTH0QaawYjf+Z6pmcAT+M5EuhxIkf2ombGG2ZZq3ST9H69ZLYu7fufItr1UpSX3lFbqhk8baKvSCUH1ti6dn0fb2MxDqxZ+td+fMmyad/uUPMH/8o8R06SM7UqVKt8hfrnvueV/UCNbU1+ng+dg8n72g6rqk8v/h52XJ2ixSXFet7QLj3QEfU2e5aJKEtZKAAgmTih07so05ZCmkFaTJmxxjpPKOzfl9yy1HfjpLY7Lsb7Nj9jmDBnkOOtEUQL35IuZANk7JNfRBBx6Z19mIfxGmTd8WWvI7EUmeTvBJxah+WabK7et7MmRJH3qHyrPg2bSTjww+llGURDmOWSVtoCc8wnZjOFbd++AvrINz0t96S0n379PmNkYBRYFBuQUVpiHhRE2DIOGAksIYsf84cPaWFda/sxJX80kuSv3273HZZ74rqCll3fF3dFGOmfHDG4IpjK6TgZoH/rtBATxiTCRpiY6ebVTdl87nN8trK13QSyLSWXnN6abIeuKW7U+B0OL4JMF7qjJ24RXRjJ+egrvghPZQmcOqHwfCi56r0dMmYPFkS/GvZWWvFuaglKjG846Au1NnED9ERujKxScD78q0ioVo1eAVMw2MbfP86leTXX5fre/b473COovIiWXV8lfbjJyY9oWMWG4bsuLRDyqvDxz8vPggaYk1s1o0sTcz7Leyn15Dxfn3m9pGNpzfqXdTdAlvGPkyAntCXWz+kvOjGTs5BzoAfOvElOzj1w2B4idHl8fGS9umndzd+Ymqt+nf5mTMEYf9d9rD0bPq+DbGxE+fo54wZ4zvr2x+TU957T0pPnPDf4Rx5JXkyb/886TGrh29ZxOQn5c1Vb+r1stYa/1BAR9TZBLSFDbEmNrckV5YdXaZjFvGKo74GLR0km05tklu1ZutLiZcm8OKHlGstr3ELUx8E6Ni0zl7sg/wdvmOCh3Fjp0i4oWJT6vDh+rhDfJqlXFkjR0oZPh0h5pu2hYBnjNfE6iCkgixzoulJyyQI/fij1Bbf7QULxsNKYqtU0M77+mtJfvppvQGK3vr+hRekaM0aqVSE0MwFlEFV35bcG7l6sf3T857WQZZANGDxAFl9YrUOUKHwsJLYnBs5su3CNh95VQ0GI689ZvfQ55FdybyifoH/RpcgYOBAJvCSIEVJrHNQ10eNxAKWBpSePCnZo0dLAjHr8cd1zGLb+JK9e+V2GD+jzg8jiWXbe01en3lGb4BCzErp31+KN26UChWDzZpPH+Iy42Ta3mnSZVYXHbNaTWklQ9YMkc1nN0t28d01aoHw4oPgQZLYjKIMWXJkifRd0Fd3KNLhxsYwi48slqSsJP9d7uElQTJtuCkvSmKd41EksWhIL3k4ckR3uOlNjlSeRb6V/fnncvPw4bpdQYNh6dn0fR8kiWUmW8748ZLYrZuOWXS4MQhyY8cOuanipVnkUFBN6PnU8zJ251jpOqurzknYAIq9OXZc3BGSzKIj6mwC2sIHSWIzrmfI8uPLpf+i/rrDjZjFBnzErILSAuNNQ7FnE5ICoiTWOX5uJJYnylW5pSqfylRc0NqYTa/xh8yq/CsUTNtCwDPmuxOrh2HZVFBvStC0qWbhaa+8IoWrVundfIPxMJHYO+p30iOYN2OGJPft6yOvzZvrraP5mXUIOa7Dh3ULqzGxkFqQKnN+nKN37H18/ON1R84sOrxIkvLvT6Qam8Ram5pYYCr0gkMLNAGHvDYd31RvsDDp+0kSm+Ob0nKn5o7RLoGAgGGiZ2Dp2iRBipJY56CujxqJ1XpWvqTfFts+dkwy3n67LjHU01+GDpUb330nNYX3zyCgzg8LiSVxrSARHDtWknr00B2IxKyUAQOkcNkyueWfhsfuxKb2UVtTqzdoAxcyLsgX27/QZJbpek9M8HXALT+2XCdZwTD1QVDfJLbmdo3EZMVoMk4iyHE5JIPd53SXMTvH1MVc1prxziZAx6YJkmnDTXlREuscjyKJ1Xr2v+9tpTNmjVhkljyLDVX0bJLvv5faIBKFNaFn0/f1TGL9/7ZQq+Ig5+Be++QTvTxLxyx/h1vRhg366A5QrnRlkjwDTRb8ZnX52mX5audXenfxJuOa6A44yOyK4yskq/ju0giA31NnE9AW1jeJra6plkvXLunzXq2RV3JF/j7/4Hy5VuTbOAeY+iHPmeo5SmKd4+dGYrGNSv/7kqcUb9qkBwKZzapnk0BmR42Skn376nzegmlbCHimXo7YuXn8uN4WHTKrRwWYhvv005I3fbrcPHSobiouZlhhoCBe0guJrVQf1DKnWywS37ZNHz3BdBZrx2HIa+60afow8kDYJUhOYDXawcaUXJCsR2Y1mZ3gI7M95/aU8bvGy+6Y3XVTjXVPm1lu5YnEAiuJra6t1mvlJn4/UfcCUl+Cao85PfSROVey7tXVo5ggRUmsc1DXR5LEBtkG8ejGzp2avOqYBZl98klJffFFTQbL1TuqB/S90NdqA7vySmLZ0MSyDGIWCR+HjNMYUN84juR4/nndYWiRVwv1YR+BOJt+VhM/RjmIVyRXrCedsmeKHE06WjfVmI2gTOGFxKIoa3dS6vJD3A96vVjX2V3rZr90n91dx9iLmRf1fRZ418ZIkEwbbsqLkljneGRJbJCeWa5VsmePjln6yCxiliK1HNHDmbNVinxaKFPP1xrEd2BMYlV5lGuhWrWpRevWSdrrr99TX2JswZIlehlEIHhfk+QZ2NkHcWn0ttHSbXY3PTLLNNy+C/vqmHU+43yd39GJZQLaQi8klg5/K79jZHVXzC69Ll8fl+OPscwcYZAjuMPQix/Wt56dgnKjJNYZHlUSG6xn8pbra9dK6sCBdSOzDBow++L68uVSGesf/FISGDvcAD+uFxILGNksO31asj7/vG5arh6d7dBBV5rDq0tjYuRmUMLlBDR8XkhsaXKyFB08KAXz5kmKSvxIWK+yCFklgroRYOQ4RAJlmkBbjXYoYyIwQWbZjICpL/Qatp3aVq+bJdnae2mvZF2/t+fQKbyQ2PySfDmVeEpWHl8pg9cMlnbT2um6MZLBKAwjGwm5Cf677wVG/KglSFES6xzU9adAYi3QYwhhzf7yS0l66ikfOWQKTPfukjFkiA60xSpRqTSIO15JbImyyRsqZuVMnKhHWiGtxCxmu6RTt9WrpabAfm39g7IPRgmm7Zkmzy16TidZJIecq8pxYnMPzJWjcUflRrmZbXghsUWlRXIk7ojM/nG2vLz8ZX3+LSPHxCyOEOL81yvZ93a4WeBdGyNBwi6wy0A9Hzp0SBYsWOD/lz0oL0pineOnQmIt0AFX8sMPcu3jjyWR2RicmqByrSSVc10bMUKKt26VYpUA1xokosCUxNKKFSsfLv7uOz07L/nZZ30xy58D6qUbNiPHFnhfk+QZhLKP23dua7+fsGtC3bE8dMLTocXGmyzpupB6Qcqq3ds0baEXEssO6Lsv7pZx343T8bTN1DY6ZrWe0lpvVrXo0CLJvmG/dMOLHz4IPTsB5UZJrDP8VEishRpFMJlNkvnhh5LAsTzELJVnkXORe93Yv1+KExPltoG+aFfqjcQGokoFM0Y00l9//e7oLNN11d+TX3tN8ufO1XOnb2Vna/IbCTR8bkjsbfUhODSbKYJ6DYYKqFcVcdX1aN5cB3+mt9xQAb82wsubJtBWox3JmFgXu/3idhm6fqh0ntm5buSg1aRWMnDxQH3g/g9Xf5C0wjSprHHWKLohsezyl1qYKjsv7ZTp+6brMxLZut4K+B2md5B317+rN3EKFVQtYMSPWoIUJbHOQV1/SiQ2EJVXrugRAnoN2UjFmqpLzEp7/325vmKFlB075lvz7+CbuSWxJKfMAinauFFyJkzQW9dzvqs1/Y6ZItljxkipIrbh1vCCB20frDFlgzoII/GBkQMILXGDjq85++fI9zHf6+l7zOZwAjcklt/J1Lpdl3dp4vrWqrek9eTWdcs0GM34YOMHOqaF23cA8K6NlSBZNo2NbNmyRX73u9/JsGHD9M9CgfKiJNY5fmokNhAsh8qfN8830tGqlSaMxIp4lRyyU3nBokVSdvy4b5mEw3jvhsTeUUknMYsBiiwVm+J799az2vSUZ1Ufzusm/yJu3o6gC97XJHkGTuyDWWPLji3TG21yvizxinjRZUYXnXvN2DdDDicelutl13VOFAm0hW5ILBvHJeQl6H0F2D9kwKIBvvX5/g3mINbDNg7TMS3Sxp9e/PBB6zkUKDdKYp3hp0ZiLdxBn0eOSO6kSfoMez2YSMxSf8Y//bRkfvSRXF+zRiqUX+mY5eAdaFcck1j1+1ieUXbqlFxftSo8ia0DgVw1tnkqKcsgOWRNhyKSCaw97dBBUvv2lcyhQyVv2jS9IUnZ0aNSpUhFLS+AIgOUeT4+Xp89VAd17bZKKGsUYYOwsj63WCUCKCjtxRclRQXQRMX6Eyzi2qmTXHv7bbm+YIHUpKY6DuoYg2ljhCE7xa3bt+TitYsybd80eXXVq3pUVi/oV8JoBxtDvbryVT2qAOk9k3ZGUgpSJL80X0orS/UaMAs3i29Kcnyy/vsd9R/XCKK5pbm6Z5Ljb1afXK2nCZN08rsZvaCsFpNb6CBPWdTlZNpJXTcnwGlNAyTGaKpn4EbXgeBoD4KGCbzYBjCtMzpuLD3TcJvOiDC1jwbVswri5SoOFUyfLtesqXCMJrDkoEsXSXv+eT3iUcC5s9u2Sfnp01Ktkr6a/Hy5zVoPf2N7U9WZmBUIpgTSaVaTk6On0pQdOqQ3j9Mx65VXJLlHD0lUMTJeEVfIa4oirjkqsBergKtjlkM0lH1U1FTIhcwLMu/QPHl73dvSYVoHaTZBJYcTH5cOMzroJRMct0VH3O4ru/W98Xnxen19xa0KHZdq7/hITVZalhTm+NYk19yp0deYGsy98bnx+ll+BwkgI7/8bmIWZSEQ16Ebhurpd5eyLunf4QS8K+9sAnRsmqgEJqInVNv12muvybhx42SMIgPhQHkDBgzQxMwEj2KMRlemekbHxCzTb2xqHw3lg+COIlI3d+6UPGU76So+QSSZVZJA55eKWan9++vlXoWLF0vp7t06SbyVkSG1BQVyh28S0LGQrGJTal6e7x8qhnGd+26pNrJSJYsMPhQuXSo5X34p6cpmkxVhTmzTxhezVJ6VppLTXHWtlBMdrN/jALyvaeLtxj5KKkvkQMIBmbRnkgxaMch3soLKe4ghnWd11utPyYmIM0zxPZl6Uh9jk1eapzvPAvOshNgEqanw/ZsciWv8fgYF4nLjdI627eI2mfHDDB0HWTbGiCsxUud1Kma9sfoNvYFT2vW0ulgYCV78sKH0HAzKJWaZlM2zpv7rJUZTpmnMgtSZdNiB7OxsPbhiCtM6A1P7cGsbdxR3K1F8LUflUnA1zQsRRWjJg1IUN8z6+GMpUrnPzQMHpDImRmqUXuCG+lSJAHu4qPhfsRVr+VPV5bbKUatVzlSu+GfJjh16Fm7WJ59I2gsvSHLXrpLQsqX8gtGrsJKZKZmq0EwVyDJVYExWDXXMkiVy4cMP5fyzz8o5layda9JEzv3613LuN7+R87/9rVz44x/lsiK3V1UjnfDWW5IweLAkvf++JKsAfFr9PZ4XVn9PYm2Yus4B2bHqZS+rQH1B/S5+h/59v/udnFNB9Zz6XRfVcxcnTpQrmzdL6tWrck0pIVMR34ysLPt6BwlnF9I7aXctnHD2KGeu8afd9WDJvpYtedl5UpBTIOdiz8nqfavlqw1fyUvzX5I249tI0y+bym8++43856f/Kb8b/Ttp9lUz6T69u/Sb208GLR4kg1cOluHrh8unmz+VYauHyduL39Z/f3f1u/ram8vflL5z+0rbiW3l95//Xn47+rfyn5/9p/59/K52E9rJC3NfkM/WfSar9q6S81fO67rk5+TrutnVOVg4Xw6xuxZJGIUx0TNi6ZrfYXc9nDCicenSJX02l931cGJqG4hb+wiU+tCzSbk8Q8LNqJnd9UhiWu/60LMj2yBmqViVqQjpNZW4pahk78q6dXJBBdPzKlk7pwLfuT/84W7MUnHmgoozMd26yVWVKMa99JKOWcmKeMapZ06rGEXsImYlspbtjTfkqkoyY1X8u9SunZxXv0vHrP/8T1/MUknnuc6d5cKrr8rFqVMlbs8eSVfvXhezVCJpW+8gaQj7wF9ysnJ0zCrMLZTYhFjZfGCzjlnPznpW2o5vq2MW8eXXn/5ax5rmY5tLxykdpffs3vLa0tdkyMoh8vbKt+WTTZ/I0KVD5f0V78uoLaP0zxHu4V6eeXzM43d/l/qT300Z/Wf3l3Gbxsm3h76VuKQ4XRfq5DRm8a4mcQOJpGd0iJ4YlaeRDxSSKxIG/s4B8/SeHz9+XEaPHq3bYp4J/gZZqs3C955++mn57rvv9IybwOtOpD5sw+5aJHHlh0HCyKBpnSmTmGX6jU3to8H07I9ZxCv+TDp6VC4tWiQX3n1XzhGzVFJ4TuVVxCxiDTHroiK5V/7/7Z1/cF1FFcf503/8378YHf1Dh9I4aBF0HBxGndJBZGBGqIwwooOig9iMgy02IpTySymUVqAUEUFsRhmoPwBptaBNcdombZPmJU1ekpJCS5MGQosUqLTH/WyzNZZ97+6efebaZr8zZ5pm72bP/d6zZ8/3vn33Xnyx9PJpiMk11e99TwZNviJPbTN5qrO5+WjO4gF4RqhyXMUUmp3mb9H/WJ3Fv+SsOXNk2zXXSOcDD0iVJyqbus/6E5GzOF/yvK+tyELj46VdR3MWNQ3W3t0uv3r2V9KyqkUuv/dyOffWc+XMG888lq/O+MkZcuZNZ8oXf/pFW2dRQ1FLzXtsnix8fKFc8+A1sqB1gcz/7Xz7e3LWlQ9eKRcuvVBm3zlbPrP4M7Zma2ppsv9+dvFnZfYds+WqlVfJsj8sk9XrV0vnjk5bZ+3ds1d2vxxWk6bMw6ng2WeMyzzUjE1f7fxNnYfkD19bkeEzfPna6hnrBbsoeQ+4r73IXJ4tWr9rmTY+omLD5ASXs3YZjvvWrpXOZcuk02jDLUbA2pwyuc4yP3d9/vPSc8klVhtSR1VNfhtqabH1VbvJPb2m5hoy+pD6q9/8f8c3viHd5m9tM8KYnGVzFX9v1qyjOfGii+QU7hQEW1+f9BtndxjrMf/vM6q6f906GXjkERlctEj6TLLs/upXZdsXviAdxuF243i7GRDb3NQkm08/XTaedppsnjFD2s3P/M62c5xxrsM4ts2I4m4jaPvNiQwaQgZWrZJ+Cm5zQXvMhemFLEOy1786xkuHu42/vrYiIxjZFuBrq2V9O/pkaGBIdlZ3SrWvarjbIc93PC+PPPeI3PXUXTLv1/Pk4nsulnNuOUc+ecMn5RM/NmKU4q7l4zJz4Uw5/Ueny4zrZ8hpC06zPzctbLJt2Bk/PkPOuvEsmXPnHLlixRXS/Fiz3PHHO6T1762yfst66d3RKwNVM/n6TUBWB60vPh9rWaVSseZrKzJ40vKMabjGNm7caIWsr63IUmID0/pcFs/0feGFF6zo97UXmdbvUng2OavPJOZek9B7jXDoM4K2+swzMrBihVRN8uw1iXS7ERNbjbDtMEmSPNRuxKjNSzNn2lxlcxb5ylj78TnLFJad550nFW7YcaNu+XKpPvmk9G3dancHkLPIl30mf3n9q2NlxMdA/3/yRmVHRdq2tNmcRX65rvU6uXLllXL+kvPl7JvOlk/cYHJWy9Gc5fIWOQub+aOZx37PMRx79qKz5YK7LpBvPvhNmd863/7Nx55/TDZs3SA9vT0y2D9oxyZ3+XyrZ5yrZg5iRTzzdykK6t0Z5643QhY899xzx0Ts6Ojoe/xCwLJ16iKzAD9pYoXCYXJ7iJURG87KyHeMSc7SXmNtfJTCMznL5IwKccHP5tyrzz4rA0bUkrN6TGHX9eUv2xv8HeSrSTlrs8lZ1FabTM7aRJ3F/8lZtE/krC2f/rTtz9/pNwXn4NKlNmf1mzV0h4nNiqmvGJ+fvf7VMc6XPO9rKzIN1+RYlzfIWdQ+6zrWyQNrH5BbVt9iherX7v+azP7pbPnUjZ+ytZPLS9RU1FbUWDZnmfx1LGeZWmzWT2ZZ+9wtn7N1VsvjLbZ2e6LtCdnctdnWdIz74sCLMlSNn8Mp83CqeXbGuBs2mHytGJu+2vmb4jNjkj98bUWWwjPbrqlLfW1F5nzW8qX1W8sz9U2fEdw2d5i1kvqnunq1DNx/vwwYbdjz9a/bOol6yeYrpw0ndCH2XzmLNszkLeqyreecI9v5pPfb35bqwoX271afftrWc2HbiY8DC/Y7vi02ZhHnY+J3WPDNxWPLC49oHnvoIRm95x77sKgOUzS+aJzYe/PNMnr33baNLchv/uMf8pYpqt8xZLDtxYdDE3e/NUjZuqHdiw/4aP7wu+/9WJ/twa/sf8VuV+FBK3/r/5v8ZtNv7Da6n635mX28/A9bfyjf/cV3ZfHTi+Xe5++13wX5/bbfy9qetbJl1xa7dWX8YO33+b51UHe+fLqg5RloeQZarikMtduJU2IDpHxXoyye2Zqn/Z6INj7K4hng87ue7TVsabFfZTDF0D/Xr5cDRuCOt7bKmCkYR5cskZ3XXy8d3/mOfa8jOWvfz38urz78sLxuEvSBNWvkYEeHHDIC+XCN71SxHUmLsuKjHs8H3j5gtwZv371d1lTW2JzEu1t5bddtf75Nrn34Wml+tFluf/Z2Wbl+pW3jtRhre9far0C8PP6yvPF2jbg7ovc5Ja7gmPgoAtdy+fLl0tzcLAsWLLA2f/58uc4IAe64O0wWsbXAeGwnZh5qcCLmaLblhfDsAzcQtFwB7fmWNQfBwRp9j5i8bbcFm0L1jXXr7Da7Vx99VMZWrJC9t91m81T3978vlXnzZPT22+3vaec4jn/LFMeHXnrJfq/Mh1rjhoDz1W4ZTYmPWjxTZ7325mt2azBPZ2dbMDnpoQ0P2Zpq0Z8WydUrr5YFv1sgS/6yxLbxDtdVm1ZJW7XN1mZ8DaJWnVVWfJTJM9uJNWNrzxXAsdZnoM1Ztn5XbMsFbCfmJosWKfWONj5SYgPUyh18RYttweSeg0bc25z1y1/ar3PtXbxY9tx0k2xlx5tZT0fvvNPWX6+tWiX7TT3G17X4eipf3zri4UQlYrmwmv3aPL59K9/HmPgOUSy4qNqJwIVx312KAYGQ8gVreNIWsqMjo1Lp9j+Nswj4q/U7hWeSjYZn4LjWfAeBu0FscdBAGxsgJT7gOJVnTaLCVxaik/HBTrWAz5p5+DoPlDE5S/uqC85XW+SUER+pPPMp6q7hqZ+HqTyHFAzMm7GxMVucsAXY2StmcZ28HoaIWMbLD3YKx8n8YCcfHM/a8x0YGpKhF+OfEs51ZdzYvOHA+WqLYG18wBE+q2BOs6uzS14f162FZcVHGTwDxs0PdgrDyfpgp1pIyR306DQC91UeuBmJqRex27ZlERuILGLDkUVsOPA1i9gwWBFrclYWsWE4mUVsLRw/99esWWM/na0HxssiNhxZxMYhi9hAmNPMIjYcjJtFbBiyiA0HPTq7uk4AEWtOkoVI+1RUyK2XMHj0M08OdeD/DtoCyS0m2mBKEbExr9g5HimToIjnekhJzCkFUhax4cDXLGLDAEdwpR2X801ZuKc6PlJ5jnnFzvFIiY9Unhu5cJOH+P5mPTBeFrHhyCI2Du6BNLHwxXMMOF9N8Qy08QFH+KwBayHb1LXviS0rPsrgGTBuFrFhyCI2HPT5n7wnthb+30TsEXOxRpYule0f/rBs/+AH7f7qPTfcYN9v66AtkNxiog2mLGLD4bjWFEhZxIYDX7OIDUMWsXHIIjYMjJdFbDiyiI1DFrFhYC3MIjYcjJtFbBiyiA0Hfaa1iH3l1lul8wMfsO+pfa211b5DqP1975Pql740cUQWsTGoxXMIUhKz41pTIGURGw58zSI2DFnExiGL2DAwXhax4cgiNg5ZxIaBtTCL2HAwbhaxYcgiNhz0mbYi9h0TKN0f/aiM3nffxG8MIea47hkzpP+88yZ+k0VsDHw8hyIlMTuuNQVSFrHhwNcsYsOQRWwcsogNA+NlERuOLGLjkEVsGFgLs4gNB+NmERuGLGLDQZ9pK2IP/PWvdhvxwe7uid8cxa5rr5Xq+edP/G/6iVgXUJpiw8dzKLQ8AzdxNYkuRcQSz1qfU+KjEQugJmHgaxaxYZiuIlbrc5kiVrNoAzie6oWbdaEsEduIeaiJj5QCqREiVhMfjZiDGqTOwyxiw8D5nqgiViuuUuYh46aI2DJydEp8nMgiVuN3Smw4njW5gz5qEcvJxhgXdXx83L5qgJ99x/iMY1mIeJ/eyMiIJcp3XC2jP2Nyku7/YP9TT8n2j3xE3jLBwuV+e+LC7W5pkeoFF9ifD5lERTG6b9++9/zdIuOi8MJ6fPe1Fxk+kyBjuMLgZ3h42CbYWK4w/NX4jZ9wjMX6zPFanjHH9f79+73ttQx+eLkzCzeT0HdMLcNn4jnV5xSefe31jL5wpPGZvvhM8cxNEs081MQHxzYiNqZyHsINHMEV48b0dcb5cq1i+3J8GfGhnYMYfPGCdYSsZh6mxAf96F8Gz/AFb75jfAY3+Dt37lxpa2uzhYrvuHrmfNacbxk5mnGZf8xDX3s9I66oGagdNHMJ08ZHCs/aOYhN5jl2bPiieOYdlbHz0NUNMfE82VLmoTY+tDwzJudLfue1WQgl33H1rKz4oB91y1TyTFwRG8xDzTVOiQ0tzxg847evrci0PDPvBgcH7YdQGp8bMQ9j/eZYFxspPMf6zFj04ebI7t27o+fhKajnWCOYIdnXVs+4sDgKub72InPk8LP7ZORNM6G6PvQheWP9evt/d99iyBQI1Tlz7M+HjcrHZ0g+/m8WGXeOmHjc1fC1F5krfn1tRUZi7erq8rYVGf5q/Z7Mc6wRgBqeMcc1ceJrr2cs2nwCRFz42uuZNjawlPhwk9DXVmSOZ8b3tdczfGUesij42otMGx+N4FkTGxg+a+YhHMGVdlzOl2vlayuyMuIjlWd2RPAJ0FTPw1SeiQ9fW5HBE3zF8Aw3rAuXXXaZbNq0yYpY33H17ETM0a5Y8bUVGTUD81B7jbXx0Yg56GsrMsez9ny5kcRN3dh5qInnycb5Mo99bUWmjQ84wmdfW5GxFvIJP0W/JmeVFR9l8IwxLqJfMzZ9tfEMx1qfU+KDPK05V2KJnYHc1PW1F1lK/Y5p4yOF55TcQR8+sEMEx85D1XZiBoSgWLhtjJCkAcEIUZNx2PwOscrW4XcNgWD/M89Ix/vff+yTWMDJMnk14MJqt9fAE4GoQcp2YvzV+u3jORQEoJZngM+aLRQp24lTYgNoeYbjMnjGV+YhiU4DbXw0gmft9hp81sxDOIIr7bicL9dKg7LiI4XnlO3EKfGRyjPxoQE8wVcsGI/txAgzDU7EHM380/JMzcA81F5jbXyUNQcBPGvPV7udWBvPDpwv81gDbXzAkdZn1kKKZ26SaFBWfJTBM2BccpZmbPpq4xmOtT6nxAf1O3pHg5TtxCn1O9DGR0pspOYOthPzSXAsToqnEx80Qq9n1izpOvVUqcycKf3nniuVpiYZvvrqiSP03wMiiFhAtUUdPGmTXH6wUzjyg53Cga/MQ+6aaaCNj0bwrF0E8VkzD+EopXjmfLXFRhnxkcpzfrBTGBgvP9gpHNQMzEPtNdbGRyPmoAaOZ+355u/EhoG1MD/YKRyMi4jVjE1fbTzDsdbnlPigfkfvaJAf7BQO+kzbBzsdmVhM/2VOft/KlTKybJkc2r1bhr/1LRm+6irbBrQFkltMtMGURWw4HNeaAimL2HDgaxaxYcgiNg5ZxIaB8bKIDUcWsXHIIjYMrIVZxIaDcbOIDUMWseGgz7QVsf8aHbXbiccff3ziN+Z3Y2PS/bGP2ffGOmgLJLeYaIMpi9hwOK41BVIWseHA1yxiw5BFbByyiA0D42URG44sYuOQRWwYWAuziA0H42YRG4YsYsNBn2n9SexLP/iBdJ56qgx+5Sv2gU7dTU1W2L5rxKyDtkByi4k2mLKIDYfjWlMgZREbDnzNIjYMWcTGIYvYMDBeFrHhyCI2DlnEhoG1MIvYcDBuFrFhyCI2HPSZtiLWYfyJJ2TnFVfI0KWX2i3Fh4+7ENoCyS0m2mDKIjYcjmtNgZRFbDjwNYvYMGQRG4csYsPAeFnEhiOL2DhkERsG1sIsYsPBuFnEhiGL2HDQZ0pFLORoTtQVz9qAIpA1hSggkDXCGxAQ2qQOT9pJkCJi8VfrdwrPBLKWZ4DPmombImJTYgNoeYbjMnjGV+ZhfjpxMfLTieOQImJT4iOVZ+JDA3iCr1gwHiKWglCDEzFHM/+0PFMzpNxM0sZHWXMQwLP2fLUiVhvPDpwv81gDbXzAkdZn1kJEbH46cRgYl5ylGZu+2niGY63PKfFB/a69WZAiYlPqd6CNj5TYSM0diFjNzaRTuEAx5goNijt+9h3jM44lEJkAJAwCy3dcLaM/d2NZzGqOy++dTfo9xxOMfKoy+fchxkWlH7772osMnriwMVxh8MOLf3lPbCxXGP5q/A7iuYal8Iw5rplEMWPDD+/j2rlzp51IvmNqGeO4ePa1F5k2PhgXjrU8w5GGZ/riM/OQu16aeajxm2MbERvwHDOuM2I6dh7CDRzBlXZcTTxjHF9GfGjnIAZf3EyieNbMw5T4oB/9NVzBMfGh6et4hjffMT6DG/IN74nduHGjXYh9x9Uyxj3RcjTHMv/w29dez4ir498T6zuunmnig2PLmINY6jzkZhJCNmYeMo6rG2LiebJpeMY4XhMfKTy78+XmiHtPrO+4Wkb/suKD/OGEiq+9lnF8yjzEX3aPaK5xSmyUwTN9tTwz74aHh6VSqUT3xVLnocZvjnWxEeszxzueY32mL324meTeE+s7rpadgtMxBjEsKGNjY/Zn3zE+41jIaW9vl5GRERvMvuNqGf0Zk6IyZlyM4yGXROVrr2dMHIjFd197keEzdxdifYYfJgEXNpYrDH81fuMnHE81z5jjmgnoa69l8NPd3W0XbSaS75hahs/Ec6rPKTz72usZfeFI4zN98ZmFiE/6NfNQEx8c24jYmMp5CDdwBFeMG9PXGefrFhRfey3j+DLiQzsHMfjiZhIFtGYepsQH/ehfBs/wBW++Y3wGN/g7d+5caWtrs4u277h65nzWnG8ZOZpxmX/MQ197PSOuqBmoHTRzCdPGRwrP2jmITeY5dmz44hOgvr6+6Hno6oaYeJ5sKfNQGx9anhmT8yW/79mzJ3otxMqKD/pRt0wlz/BDbDAPNdc4JTa0PGPwjN++tiLT8sy8GxwctDspNT43Yh7G+s2xLjZSeI71mbHow01KPriLnYcnzXdii4Bi54Rjwcf5EMydFQ3gibsqGuTvxIYjfyc2HPjKPGRB0UAbH43gWRMbAJ818xCOUrYxcr5cKw3KiI9UnvN3YsPAePk7seGgZmAeaq+xNj4aMQc1cDxrzzd/JzYMrIX5O7HhYFzEhmZs+mrjGY61PqfEB/U7ekeD/J3YcNBn2j/YqQjaAsktJtpgyiI2HI5rTYGURWw48DWL2DBkERuHLGLDwHhZxIYji9g4ZBEbBtbCLGLDwbhZxIYhi9hw0CeL2AJoCyS3mGiDKYvYcDiuNQVSFrHhwNcsYsOQRWwcsogNA+NlERuOLGLjkEVsGFgLs4gNB+NmERuGLGLDQR+diBX5Nz6E7NMDQrLIAAAAAElFTkSuQmCC[/img]
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Información: Sinus- und Kosinusfunktion