image
unknown
text
string
"iVBORw0KGgoAAAANSUhEUgAAA2AAAABgCAAAAABeEU7lAAARZUlEQVR4nO2d25mjuhKF1z7fSUAnBO0Q1CHIITAh0CHIIUAIEIIdAoRgQjAhQAicB9+46FJgYTDD/zTT7TYsSaVS6VL6p8HOToeC8aVfYTv8Z+kX2Fkb8U+69CtsiP8u/QI76yI950u/wqbYloHVf5At/Q7fS5mWdc4WefQxP210WLqpIWJ9KKKl3+GLqQuIUyWWeHSIn2KJ587PljxYfSizRZrHRhDLeX+eHQ7brLsNebDdvr4YlvHDJn3YhgzsT7Hb1/fCMvzWS7/EDGzHwI55stvXF8Oy4nfpd5iBzRjYOQ7Cpd9h5x2EOsdLv4N/1j3JUZwLiJAygVv/smT219mZlSg/ys0NQtbswco/P2Wo2KEo/j24Pnus1TIrODv+iHBc+hW8s2IPVhzqJASkOPCyLO1uLE+5+tBr7cyGDM7x1qpxvR6s+KmjEACkKMAdw8QjtlYxfyUR4q3NJK7WwMoD5N1oAkDaP5wWYp/h2AA8rLc2z7FaA/utn06pBByxb4zdvjaBQlwu/Q5+WauBpTn4w20VLg+Wlnw3sE3AJTbmwtZqYDFeTil3hWAxgtlfaOcjhEi35cJWamBF+fJauduB7SPErRAwbOu450oN7AzwR9yVu0KwFMFGDxP9hYS7gX2ComVUrhCsKFyTjDvfQ4B6Uxa2UgOrgadTcoVgKfYQbDsIjvPS7+CTlRrYmBDsjGDfJbUdAuRbmuZYqYG1gi5XCHauXatkO9+ExKZc2EoN7DUmrM8OD5bvI8RNIdluYPPzMplj6QjBzs6NijtfhUSxoTHiSg1Myns39uuaQzzX888h1n/mfgKddFNzbDrEpsaI5uMqdbrk6bfTIeUK51jKwh5iFc6NilbKMmdC2CdJ6sM869j0Eq7j52m34DDfqnoOFGUOpOAcjFqsZBktFTYE4DH9DaWCNfhr/Y0JBW783QeoFAcLskYCV9vnBHCZ/JBMMiklR2h7RCWSyQ+wQi9hiWz+12nu1xSIW8uS1L8iy2ircLwG9dkuSBWsw1vrN0qpGDBbTY4AdqXVO7Wh2E1hxplFqlT3fzi6wbF2Ti/hExC1/+408kmzQpbRVWFBgGiJTmgVrMEm6tKveBYklfGbjK1TwdG0P0MGhI7fk7vaPko8yqXi5jaixPNfVvsa/RrkEq44oFr/z5i5Pj8PVUZfhZmQaokuaBWs/UuLqCrLThJAkGVZlmUnJQCz/ZoMrGLAGlyYcryEAoKJX91upxmYYRBxefWmldWFje106SWs0GuawVTJM0CWMVBh+6QXgbQK1uEUpQC0vpyZuwSTgSkWLejCsudwSzhCsIBaa0MkWmMtYfJAsvVzSxsJxzswaglfB/7xivUMEqkyhiqMnADh/pQbWgXrcIoKuq+YmDtYg4FVTDV8MRcmng8+uexHTH7Ha6fClcGQk3bBVQzQD8+uExwYtYRlIPpNMyA0aDk2rp8EWYZGhYnMzywHrYJ1uEWxXruE0ekalChWNclSLix7OoqKQdjjjQljs9ZTkvb/tJbMO32p0YWFowuKXMIndpX9j2XuBp1N9uyjoMrQqTAyYcZIA62CdThFXYDuIALGPkH/44qpplnMhWW4D5gvAtJuX1eM6Jh6KNkqccNkSdIdW5tc2HV0OdFLmKtGDqqPO5vqZwyMLEOrwsT0XrMDpYJ1uEVFnRCsGW9gilVNs5wLE1BZliUhuKv1eRpN3Ixa82PZLUeTC5vmwEglrPjtqb2fOqOwzxgYVYZehQnuaxqxhaGCdbhF9UKw5gLjt2u3StVpyACEHCiX2JlzOSGN45xl10+mAtBk5Cvz3h4AxYB08MEyHZuVkVzCZXrPCN692FWuYzcRVYZBhQmurYy3IX4nQVT/CFUO845zswkv6MLIJAYFVK6ZirKmMbnCaOAGtC5sqgMjlHAQNNpJqt4QZchHPBhVhkmFATl9ariPo4J1uEUNQjBhlqbzYHcTNhhxfTwcWj/LF03FWgJvHLZMf/6NUaf/O5t2v50HG4l1LmyyA3P3/fk5wu3wTm+DuSQ6g1mhyjCqmBtnBWsgiMrR9WB5ASjTlnOLCWuN+MJUpl4djJy+kcIH6o2NHBcBVTXNbXefNkCoNH5C48KmOzBn389V07SnVVuv4ejjP+HBqDKMKgx48mDuCtZBENUPwYRlu5HmobdJlBuDqZSKJ02TPafurm80cB+8YWAJeyqreKVdpMk0ketwInHqFOIN6wyc4rcnDZtm4tL9AQOjyjCrMCC9tCpCBWugiOquglWBbTuf5rhK3LpIQf0CcXumIZYhUAP3206cKdWAwhKOy+XSQaW/SB7CWJAW7VPUD3KNOBbGqOOo9ZN4dFphawm3KNPkOQDuDXH4CoaIRBkWFXNCqWANBFFF3Wr19flY88hypt5qwgMjrnBtmiZ8hnShO26NzM+27+OlMNmDnTpL7xmDrq9Sui/vu7D3HJi17w8ej2cDmZlrlmN+D0aVYVFhwIcHI1XwEIqoCIC6EUpAWPbS6yY54s5NQApoZwtPAw7gDHZ3Pc6UT/ZRwWKXUpa/QMvyeQ2dkELX6bEQaN8B8p4DG5Rwi/z8KB8xmGOWH/UGWogybCrmg1bBQyiiWs6QidP1Elrn2ewm3DfiILmZxf0zS4dgkz1Y0N07VkEbzkpt79B1YWYHdhJSu+HHXsLtX7SmkgYV5Ro6zO7BqDKsKvR48GC0Ch5AEsXGDL0GMVjcu8quOw6NONp5nAgh2GhMt8UK21iziy3sC8T9A+1hc4ERqam6UZjRgZV/gEOl+YW9hF8ca/GIs2hLER3ZNYr2faxBv56OUxxg1vo3UcZoFWac1dr96JQKpojqhGBuHCasm0h8dQaEEGw0phfV9ml6D2Zblgru790JYSJot5fqPVjHhZkdWAb9lxJK+PmUNr2v0pS8U3ZX2wTGy3Co0GPwYCP0ESt4+LYEURHG7H/te7C+CWuM+Py6WagXgsWxev8m18zw8xH9n3HRD/e+5wzI9veVz0wUFBFtF2aOwASrX1/aglDCAICjeH0ujynhS0d2cQzbXfbgRaI3wyGiDKuKke3FWa0vJlYwSVSBUYkCXSY8NOLg2Rn0QrCrp5OoI5gWg13Rm3tpZWBoizB4sJYLs00hXpXSTC9RSrhpmiZr95IZ0N/du3AMRpRhVWFsL2/HYNQK7kETNSoE63uwoQkPjfj8vFmoF4LxQHcVeW0Z7C+UMrRE98XPNZ6OqC2CGdzGy4XZphC5NmiklDAAHFWvbIpODLH0XeFEGVYV+vbiA2oF9yCJGhmCdT2YzoT7Rnx5GfA9BLMfLbCV4ULrYBm6o2g58A+Pbzd8+cOFvbsG9mDYTUa87f0q9Jc7MteE3LwejCjDpcLA2x6MWsFdaKLGhWA9D6Yz4b4Rt/bX3kKwOrb2Q7aR80I5r1n30XmOQDvFZAz7Hi7s3TWwB4Nuso6T9sMZhj5r0RtlaDIIKuaBWsFdaKIKgI1pt24T7hmxeo7+7yFYsmCOo4nrYKyjWxgSbVjcxM2F+XJgmji3p2qwCSJadC8iUYZThYH318GIFdyBKIrZZxqqqLuxo+PB4teaRYcgbhmxfC5tp7fBaP7Y1UFOtrw4QYri+bLHAtmzo+2IkM89l31uLqwe78AoJQyk595c6uCvlr2ziSbDocLaXt5UR6zgDjRRjhCs/inRld0xYds7P3cmPwbSl9um4uq24JBwxRwJNGaAfgy9w5W9+vek1T/1RQTGoXvFADbBgVFKuIkGo3zR1ylcC5B+PFgVSYAHPZ00GXYVtvby/nEVagW3INaNgnVFLQO6stvVZp/S4a+P8appmhO/SKimCW+HfUTVKP+ZFFycphnYq9ArBfZsqgMRibmiJ2U+JpRwlSkBQETPWrxkkQQAdcqeNVc5E0x4MbALC09VphhEp025ZThVWNuLh/NgxAoeJarJspNiAMJTZureBtk52s3TETY/v1OBKyXkpakEU8EtrxrPmiaYZ9ifSHBT8v7JSW9ODGGSZYohfHVoAxGV2YYm5e4nlHAEgDN0VuMeP3q92sk5AevDwK73jNBX3g1i3DKcKqztxceBS1oFjxLVHvkZ+7eIdTM1TWqe1Undu6aTuo2hEtk01TxJ3kJETRWYpyEm5uSoooCDy6hluRoRoXlGdtHbZ0Lnxh+qgfWvMpDha1QcPL7i5GFFpYO9vXi5d4RWwbPj6aKY5NQ0ETkv1hgUZNMIUx6vCl5yVN7QiLA00yr6SOpcPcw5y0Y1sCrLktdVBpESeCXLezkg5ik73gN7e8EMW1zdT50Hj+XGPfdyTdM0TcUQNQmMifJ810VfhFxlVq3ELTobERB3rjK4vDJMvIYHcoYmb2wvFaZnk53+1Jnwd4VsUc5x9WJ6n49mhu/2fPBwIEItkhjSRerOtSAUvTZK4JX/UWQM6e2kS9A+4uF7YdvcXgrMtwVhnlZqw5uphn6uxOghgaZpEmXq0UJ/KfRuX9cXMT5l1Pxk/obFTdMMrjIIMMhHQE+LS8bcXpIZj/HO00otePNg9RkhcPadcPaWdyaMTD0a9+rBNCKien0u7Ki8rjL3107vh2pbpPDe71vaSzmfA5uplVrwZmDnmgWm5BLTcR6Z9pvnQSOCJceld673iUE/3E2hn0ezRj9DaAzhe9+7pb2UM5yTdz91JrwZWA7JkNfkg/c0nMm2/MZgOhFB+OvvAT4oYs+5gop2CHb7f7eFH0uW+A7BLO2lmM/A5mmlNrwZmABHffSdJsrdmUnqjQIUtCIitioLK/5knptf71x6WeCZNQwAkMbi4r3Fm9tLXWK2Xa3ztFIrvoK5SjDlvG1oNMJ5yYHyedWNQUT42ZldKxfud4JjeJWBQrdIEwQz7DE1txfXvffzPHUu/jEmmRlNUQuv44gcwAHsBOvJ5+IHwcnfQ/Ui7CfePor/MwvxEWjtdC1/aoStPj79VX5Dvgem9nKMXyl5P/fU2fikNY+ivYfH5qP4h5fmN0f3KoNKdOfsk/tF4p/btyKdo5Zvwt9Cs29E87oD3Zqwy5r1Y8dJJwTLfwp+anms9JjdZgSOnzp9XufdhFBfznoNDKDNJwVYx22P38prFazOjz8Hllxbc2xper397vyx7A75iBywX4DmdpUVQTEwwcvlLxr5YnIAfx7/CU4dQ0p/1X3NaDewiazdwAj5RYK4MBzs3yFQAOIW79bn47k+tYZn6e9rTfZjjf6MYEMjxHUPEUtS5olwHyO+wysEY2HG8kNr30p7/e9TXdi5/vRu3HlZt4GRlvR5sBvYdDobEUXQuTKiPRv2qVafgy93K+MMrNrAclrHGaLY5xGn0t2IyJYeDdTpXNl+F2LVBkbc9Skl1rfj/Vvob0RcOCn3GWxLUxwrNzDqrk+F89p2vH8N3Y2IpfmDnyGG/b7Ir2PNBlaXpFs/ASnrT55A2BK9s2DEQfls5CXb1ghx1QZGvRgeUEh3FzaJbghW1AsbWAy1LQe2EQOTwe7CptENwQose6lEnvONObBVG9iIk60R213YJIYh2K1PW2bW6IiPHtX6BGs2sALEGAzg4e7CptALwZ6rHeVR9+m5SYtgU2tgwNoNjH70KRLxvhY2njM6ndizvOMl5srrI9ucA1vzXsRxqRmSw28/C/SOlRx1kQKI5fOIfngfBhTn6wIv9FtnG5vhAFZ84LJz7Qzp4ys62P8FtLujZ+7HBODXJvGeloCC5SqbL2bFQ8SSHoIBQBim+36OEbQTcD79VXhV/N//Fb7T6lAofoN5UhMsy6qHiGLUmkyC321txF4CvlQjLw5iewEYVj3JkY9yYAAS8bv7sC+lOPAtBmArNbDj4QgU49M1X8Ldwr6TfKv2tcohYhojD3kOOXrXTsIW3626M4Ui3NoWqQce8yJ645CDVfgp/KeT3dn5MGv0YBxcIS/8XiGys7MEa/RgxSGU5THY5KTSzl/GGg0MdZrz7e1K2/kb+T+/89yfnBv0NwAAAABJRU5ErkJggg=="
\Delta { u } _ { i } = \frac { g } { f } \left ( - \partial _ { i } ( \nabla \cdot \Delta { A } ) + \frac { 1 } { R ^ { 2 } } \Delta { A } _ { i } \right ) - \partial _ { i } ~ \Delta P .
"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"
r = \mu / 2 M \simeq 0 . 0 7 4 4 ~ .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAb0lEQVR4nGP8z4AfMBGQH6EKZjEyMpqgCv1HA2dC36Hw0RWcKUcTQFOwyvgdXgV3MeTRFKTNRJf/z4gS3YzvBPF7UxBDHj0cKjBDCtWTxsar8Hvzf7kgmgB6XIRiuAJV/W7jM3i9iQUMwhQ1OBUAAPtO+0rYwYU1AAAAAElFTkSuQmCC"
\zeta
"iVBORw0KGgoAAAANSUhEUgAAAY0AAABWCAIAAAC8S13eAADIVElEQVR4nHT9V5MkSbImiqmqmTkJkqyysnhVV5PpoYfsPecs7gIXAsH+NPwAPOD3AHIhEAEE2D1nSE+TaVq8KnlEBnF3M1NVPJi7hWfNXn8oycqMcDc3U66fquL/7f/6f7HWGlOoaowRUYlIVZiFmQkLRERElqDKdV2V5cSaogsx+DidTlfrmxi9KpeTuixrBLPZbC/Prl++/KWqKh+aEDoiePTokbV2f2/POcfMiIiiAEBEIiIiAKCqxpgYo4gQkaoCADOjNaqKiOm/RBRZnXPpiyRqjEl/RVREZOYQgoiUZSkixpj0LwB474kofQYRiajruhCCtbaua0QsiiKtUFWHNQgRMXNa1XidAFAUhbX26urq6uoqPcLaAgAEIX0YAKy1iAhK6TXT7xFRRJi5LMu0Cd779HbGGGNM/lh6NRFJCyYDAIBgmJmURMSHVlWJoCxL54wxprDOGCMCzKwoefdEJC0+7UCMkZmZufGBmc1wOefqulbVtm15uBJ5pDsQUVmWRVEM245FUYhI14Z027Q5IQQistb2H1ZlZhnWo6rjfXaE6a371yQig8YYlX7HRnSC6Vvp0QAAIIla0u9FJC2VWdMm5+8659KWOufSQ1RMeql0N2MMoKSFdV0HIOmTqppYQwTSg0IIMUZjTFEUxpiydOmM8q3Smq0zMUYESlSkqtba9KZd1223bQghH3e60v4gIgClG4YQgEhEQgjpDukp6Vaqmh4tItvttmma9C0iKoqiLEvnXLotABDZruuYQ94NZrbWWmuJCEnTXqkqKSAiWmOttdgvL9MtIqZlqCranqIAILA3xrRti4hlUccYjXEhhLbddl3nLCWq2Nvbc1Raa9GY/L4swTkHLM4579v8agBgi6JI3AjQCwIAMIZU055huktVVTH66XRGZE8/XL55+w4RP/vss8PDw8XiquuiKoISi5yenn/1p6/Ozs6sJWtpMi1F4mazefDgwd3j4yQ10q5l2sosBACJixIRJwoD4cTe+X2I+k0hQABNP6e3SPuYbu69T5SXfk43T09Pn8+f7EXeIIaygEi7r/1eQKa/sexI5DKdTgcZRKoatSfZ3duJZg7MLJEJKFFVutIX09MTBWeWzo9W0XTPGGPbtiJSFNYYYwyO3gIRERCzcMycnK6850QcQshqI8YYQkhPN8aknxN59QLEmJ6sEdNqswRMq813Hr+pjmT9R/sPAEloWmuzBEFMqzXDImmQApSl2/B1zY8bbxQRjviTuq4TkcSTiQwQkQwQ2Sza0m8QcRDK/JHCyM/Nr5D+mvZnfEaZmIkItP9NelD6OcmRfP986GlbEDG9Uy89h9fPT8w/J2WQfqiqKunLGGP64pgjAGC5XBFRVRXpK+kO6SsigpA3VRHJGBOYAQCw1x//Qy7QgaeICAW7rkNEYUi7DYBFUTTNJilsIi6Kgsj2km7Yq8yGODruvJM2WRNp+xKhIGKM3DPPwC2GXDEpOOL54uovX/311as3zrkY47/953+dzGeCQGiJzPd/+/Hbb//2408vQwhlaQ6P5tvttqqK6XR6eHg4nU4TP+SNHv+QtiwJlLTopORhZFOkzUXtdXVigP71Bkk/Pu8kpLIhYAbhPaa2LBbzpoyvv/8lDpZd2rp082wnJtoiBQSQgdWZGYnyW4zJfZC8lCUjDBp1LFDyMoT7YwUABo0qY6GQ7skqAKii+TdjlTC+0ltkUy4/PZtC+ZOJRokoyZFMtXk3AMC5InFI+k0ixMQDqpr4KbLf0Z8SKCgk7Y3MYgwa44zp5bWIKGg24hCNqqR3z7zXv/HwauOTzZZpkryJNtLeplfr99kgKYkCsygwgBmJm14cGGMASBVUZfTXXu4gYlHYzPmZpIlIRQmNwu6Asi2fNzObMGNGSLSWVmiM4dvC+iOJlh7NzMkhyByRtzrf/86dw3T//NAsdJLEUVVgURGmHadEEELCke7p3wVUEGj0aqAESsYYBGBOLyvMHAKLROhtQIdgjCvJFsxB0yPzWxsQlNEmABHZMe0mVZOPAdEQAYJxzhFZa9yHD6d//NNfXrx4tVqtptPp5eX1Zr0t6tKaoihKjvjnP3/94pfXNzcrACnLfQAqCnNycvIP//AP8/k82UdpR2hgzqwfEHf2fGKb3ssbiZgkdBB2tmJebdr0sZxKVyLQrELHcrr3QAcnKJnBH5HLWE5leaGq6YaJPxNLpJXHKFnx0uDLAIBK/0QdfJOxMzK2/Ht/RPUjTZhX9ZFay0/H26ppoB/I76Ijhyvdx1qbNjmtQQaPe/zu6blJLWXx1KuxkVGDg+ma3JO8t5klMmtlo7I3QPo/7NTG+O0yq+T/5p3Z3WFkneW9RURrTfLQVTW5/OnIxudO1L9pWvxHDEz08caO9zzt2FjNZJ2hgy+W9zyfbKKBtO1jWZ+VEwxmr+qO9nQkU2DkdsDIYMyLSU/JLDCmJRjJ1vQKY5kOySs3/eKNMWB28QoE/OjoASG/Rb+xREVRiACRhhBCCFVVNU3jvR+UX6GCzEqUgieoKiw8YiJJDAsj8Wqtdcl/TwuNMTJr0oHpGFSFrAPFN2/Pfvzhl59/erPZNF3kKdFkPmt8xyDGWMLi+mZ1dblqmwhqi9J+8fmvHz66i+Dv3z8+OTnx3q9ubjLbEN462sycmVfTkTjnjAgzxxA1CWQAQ5i1/Vh2jH/OD9LBUU+UkXcZB486bXGi5rRH+WCICHG3qvFt0wfStxJbpnhN8qOzrAQAHXh1rAwzb3zE0mOxOL5Por+R+KAsEYLnouzVvgjuFgk6OsTbS1J1zqUonvc+O8jpEenFEyfgoKvhtjmWpeetCyW54WlbErfA4FYk5rSmAAAEUhXVZFk4RGQJiL0qYs7PokHApT/JeP8zqfy90spvmukkBI4xu/mQRQBzYIZsIWabKzkvzhm65WD24kBv+7YfbU5eUjrfTKVpV8dacEzt46Dk8MD0iB0FZpYZPzQrv7TPY0E/3pa05rQhOLKh8p9SjEpVwexEp9JIhuJORQkCgCYuhux4DzyV+EPRuNK6ssIuCJBxJYg4V05mMwQSVTLYKypIegtUeWCWXdyNiGwmoPwy+eUTyxljEWiz7f70x7++efP25mbFzPV0eufOnf39/RhjMu2JbLP1hgqOxAzCMJlMPvvss0ltptMyhVEAIIUeVTVbwnlP82nlwK0OUaoUPkwnA0MkO72PHfntH2mn9JWiKOC2aaAj1y/zcGLaHDYeOzj582OjIJ1Hcvratk0KKhmksNOHyStLRIk0cv3S17NblLUrjuIO481JD828lxgz30rFqSaJbzMbiICIGFPkm8DgvuVHpAh35UPbtlmWpY/l7ESOcWQjKO/hmDmTltbBYc+blrlu/IL5ZDPz5xVmDzTToTEGBu8vv/VthXTLJM8CN5OKtbbrQrYj0nEDmOwuqepH4jgRKoChkf2Y/5oINRvF3nvn6ixx6HagSm6bQnQ78qK3zX8YVEsmNgD6KEg6dkRkyBGNdyCR1kf3h0GzJvWW75OIcHjELTXJzIgm3zkbcSISY8hHkM49GXIpElLXUxUAY40xIXQAWFW1c05CLItqPtvrzStjU0w5vQKhpuMmoqQ7M/lZ6YM+OkpGICJyEoC2cK5sm/Dil1evX727vFwEifv78y9+9fmTJw/2D/fQIBCGKCLd9WLNQopUlHVZW0TjnJvNJszder2WkcNsrSXdKZl8qOklxyZrWvfOw2IhIhAhY1AVd64HI+7IaKxYUuoqE+hY7owFNnNA1HGYP9HKR0SQz8Za23VdOqGxJkzyLh92H4xQYBQFFhlCSIPVlh3tXk0NZheMFONHHxARAAIAY6wxFgyB2UlAVZsoM0VtUrTo711FHFmyOLgb4/gd3tbbYydlzHVjqdEnNBAENMRA1gAh0M7MyfyQ3yVL1aRXB95IzJBWbtPef+Rv5qeP9wp7Vy6H6m9ppqxCYoxN04iURDaRDQzunsguOTjIBEu0k1N5E+S2S572OWud/F7j7eqTPzS20BMZUL45ESBCzkggYtI3IEKIMnIFksQRkRyvGAmXW9s1JqTkWIxXm96ldH0SZky9H9EhgxoiVRC9de6SzhdAVbfdVhVtodaVhJZZ20a6VpkxBjbGoikFrKuMq0prjW+3IiKiiIiGVHreF0sAQIM+tpkN8vurYopWqKIhR+iWi8W3337fdSGwTmfTTz/99He/+83+wRQNGEMAUBTFduMvL6/W6y0CGUP7+3snJ8eTyQQRb25ukjQM3uNt82Rsd8BIjafoT2bLkY3Qh9LTv1nVZwJKgkOHkAoRJXRCJuIRQewCAdZakZiSTfl0x+z09wwZY7y5uUlSP1klg7/TrydbfInmQgyqGoPgKLr8EV99FFMYryTLxyHer1nEjL6CmceyScIcstwZ01/a6hRgDqGn2rwnH4mnLM3HzIm3fdgsxIfn9gAFY4yxlPct8SoOYZR8wySgmXfhnvQiRXErsDgWIqNX34mt/LFkHegoGDeZTFS1bdvtdpsMCmt7GURDUjVdMUaRnYBLRJ73JGnN5LBnVy6dS9pDHuEtxoJVbxtZow/ssBohxGR35u/GKF3X9W74sAxm7roun1QmmHFwYKyTbgcNIO1JOosUr0ie9UdCylrLcEtH4uBM0ADWSeZqWsAQ5DXeh7bh9ao7P7/cbrfX19dt23rvj4+PHz9+vF63x8dHR3f2EJUA2nYbIyCKUZd3uHeQuX9BO0RPk6ITRGJRJKqcQzCbtuO1/+HnXy6vl62PdV0/efLot7//7cHRPhIbQ6psbaGqNzfrt2/fJvOnrqvf/OY3j548to6aZp0eEUJAIs1pGmdsWWjsdf5YyohIchIzEWSaTqAVIpsYgIiSJZU0Z3amMquLSNM01AdQe7YacywMet4MMKv0ra7rUuo9JfUAIBlKWZBtNpvsRyQzEBEzbsgYl0RY+ny2CjOVIOJAHwPGYqQn88dykAhyRIOQVQjQ+1DXdjKZpBcEIr0tsrGPDXNmYBiFRcY5UKvgvR+r4mxLJqLM2cwsfMdyioYYkA+cNHZVVYiYbPvDw0MAIGtCCM45oMQMigjGEfteUlprURCcK5xFiwJiAIkoqiAhESkAiyhCiuym34gqCxsz2h/u41kjxqPEts65zG8prRxCAAPWWgVN9MEqwiwi1rp0ss655Kpm4YJDwmdMZplXs4JJG5gPEeAW4eVMsaoyJz3hsiiM0Sf1lBQJAMTYBzF6QlIFiSoSBUII6fc6eHzppNI7jv30rBFzdDLJyo+M+mzNqSrgzpYEFgAEhLHYNcbwYNYZYwSBWYPX7779/vJqfXZ6ud22AJByyhcX2x9/fLO3P/2f/8u/KtD+wZQVPPcmv6oacsmLTwu2rudlm12bQQUJmRTALlWoKstvf/r+9at36/XWGHv/wcnv/+F3J/eOnUMW4CHHzJG74RLR/f35vXsn0+kkSth2LenuFGXI9MEI9JLkUVJl+VDHHGutTSgea22i/hE39u5DknE54pD9tbH6BYAkp9KZJSNIBwckifyc9soRaLmd00k7WJZlVVVlWabITt7owVKwY9GQIixERLiLVuTo8liCZEMvWwFjrQgAKYXQNd10OiWizWZjjAHAENg5o6DJcU486b3PmjnHg7LUSxcOka/8exwMz7QYHIw+GTzisYjPHJsNh3SCm83Gez+dTsuyzIJYRGKUBMfdSVLZ5XeoT1RpVVUG0Hsv2BukiZeyfX3b9NN8iNSHMW9h9GDkAaW0fV6/qIw8TQkhaOyFtXNuwIXuvq4jF3LIvUD2CXjAlKZ7yiiOlm2/9N+UfxwFhnb7mRecHV5VTZiPsVYQiU3TZMjFWKXB7biVDAGpdOXjyE8UEcgQqttheBhBqlK+L9OJGQDDIcYUmQ0h3Nysl4v1uzfXr15+OD1b+o6bpinLuqqqZrs+PzutquLs7ArB/uf/3X+q60+sNVU5UWZVTnjdgURVVUV7FrDe+xxp7i9DIhKYCW2zjT//9Ob07JoFHj6599vf/erho3vWQogdgAIhEqEhibpcXm82myRZ5vPpbDYBlIT2NgYt7OBCZoC0jGTHrexDliP550yF6VwRd0ojRj9mtuwwZh4TkexoqirR7nFFUcQYk9opyzpG2W63SfQk5TAkL+QjfZiIOAu73UEOcdwU900R0JSRIAUiYqsaexMnU2SWU3lzdPAaxkQzsIRl5qIsQ4yqWJR11wZjyFoDIKLSxWCCJ2dN72BiFk/JuMtc9PcslP2ybFdmYTp+/fxDeuvkX499OlVtmq5tW2Y1xg32L6WQUxJ3idSMQURjbDEEUFOGrlDFoAyGDPYLGEvJsfj+SAoPuND/QWoy65uxLZMke9oEYeCoiKYoS9Nj1lMIaYd3gQFHAoMuya+caSCTbnZsM/3kbecdODm5n8mf6Ik5320kUjXpnlRyoMoAtao23SoMBumYVMY3GW9CFotZyoBEVFS9Fa7dMVHy+0B1SFyTGgDUUR7DGJO45t27D7+8fHN2uri6ater0DXQdaH1seva7TZaWwBUmw3P5tWr12c36/+X9/53v3telEXXdSF4FBYRJCWiFDZUEFEFAZuXm/iamUU4hKYCVxb1+3fnlxc3wlQU5SfPnz55+nA2qyJ37KMxA9qVlZnbtvW+Q1Tn7P7B3BUoEkWTmN+pi0xhOS6TxXMWQ/nDmQiS5hmnALJLIhkOOorEj3VLtlAGg2iXw87uZHpQSkqm4FGGR2UDOK8TRqaTtTZJ+RSLwduHh2jyo3t6HVI9qposxGyAmIxdBoBRSHusY5P8RkSOKU5HXdcVRdE0TTABQI1BV/QslAw7GAGC0r7hbfcEB2yqDEh051zmHBlibWMVMpYRY2M8r19Ettut9z4pqmTCqGoIu7jG+D5pYdba6EO2rbznrC1y9D3Tw232u4Uv+0iYpmv8lfxXZkaLkjHiSkmal2VpicqyHDF7L7UzUj+9RVa3zu3y6Fmw5ncZv2y6ximjRHLpv2OhnCqfsiDDIaiXdyCTX9qi/IEs03OwgkaIKrh95W+N9y3vkuotvGi+MqsSkbPWGLNer1++fPnmzenZh2XTYNcCYSWshSvTCSwWN86WHGV104oUvouv35w+e37/ZLrPLDFGMoQYASWvZmBjss7t8imKKqDJP2Rm34W3786bNgijdW4+n1aVLUoDAbThGMGZPqiESMkdE4mIdjablmVhLXWeRWK2Pz96TxERUCISHPjfEA6qIGm8j/ZxEC49b4ztnUwZAJAYYxzaHMkXHnvs+VTS47ouFEW01hnjVCHlgzIHfsRgyTzJJVc5nZSrCNMTcuQrxkiKjgwjZqJM5thYQsHtMpePiEkGCY6I1jrnSt82TdMwM4A6V6TSvxijEDlyqDvGzg7C2J4lopR7TVYJikqI4MSlkg4FACRNKrUvcsChBkgJTeFijMH3W10URaqTCcxoDKuyqiMTRWMMzEyanGKJzESokPQETyaTJHmZQ6rfdAWq9lktQouAQ9YchZNG/1gSAYAo9pJrl3wAVYUhnygpwC8SmVXVqFEF4ZTDxaIoUs1mYVPoNsootJwOOhssYz0XY+/z0ig+MJatWQCNzzq7zImKxroBAFSZORBZa21ZlkkRZi815dBpKA5ND00BtSxYE5npyGNNocZer6jSCGL20TrHDs14B4aIJyEqkSUiHgK1k8lM+DSKeh9UnSAf3T26e/fOfD5nxRcvXp6fLQnA+y7cbCaT8i9/+esXXzzcm5c9sxsQBElw4sStCasEkDYdjHFEFCUgqitsVRVtB4vFzeXltffifZzOJsaQdeTDNkYvGlWQmK0tAIijbjZNevmitM4Zay2ZsWG802Z2qGvLBaswsjhoAA3DUCcpQ/nlSJNgppKsRRMFpABT9p7yRmcSYY5j7UFDjCDTnPc+J3qJaMiOU17heMHZ3Pj7cFgi0SwTswOFiMkpGYcJxlRCff5RsvKEkSFjyMQYq6qaTCaITkRO37/z3peVQ0RjXIKY4Mj7yI+WIZCXgwuD/JVsnDpr82ZmWzvr58wANFx5T9J7JU5I15hbvPcxhgTmKIpCFZiFyFhrRTFCEFYh2dvbQ8T1et22K+dKawkBsj1+W3Yr3Jbjw0bt6mbGV7Z0snUJg37K+1yWZV3XfYHh7TKsfBA5kUJDyCyXc2cSzRuuI5jFmAh15Alm/Qe360/zlcWfjqJyCVoBAPP9Q75d85RfbZwNz8/KeygJ7TrKrtIozpi3bUe0I0MPAETTghGHJOxsNnv2/Pn5xc3p2TKEoKLGUgjN0Z29p08fF9Xk8ZOH//HvX/3y8+ukJrvOr7e4Wq1jlOSFpyC9IYfUQ4769xKwiUzNAC3rY5bGotfLy4vF9aprAyAdHR1NZjVZ8L5ljsYYRVRFQ1bVNM0mVWkXpb13795sNitKCyIIuyKPdHhZ22RbKWc38xnkELIZKioTOBh2wf4dhiXFp2UIUSWJprdhezIkGcd2tQ6OW9YwMAAvx0CblEv66KRxlNxNtrfqLsyRTfFUyTk23HrxpEogeVWZZOG28Zh3AEZBBxZxzlnj6roWoVevXm2arbW2bVtEcM6VZfKW+iQAmZ09n/cw1ejv2I8lK4nkj2R+Hrt1Y2bTnAVnStAZAFDFlKLabrdt23VdV5ZVjAzgU6afWZjF+4BorC2sdSGEtvOq7GylAqBY1xNDdnmzUIGiqJSjyC0oEPaO8O7n2xu4g7mMbRkawXrzyxpjYhSifiucK41xeZdSRD8fR2Lh8Z3HOjLDBsauX376+AiySZ73M2vcTIcw8rjHkZlMIWl5McbJIKSyH5qz5/m2WevoqNaXhh2EIe9Et/2M9O7MrCBJA4GOEP+iqsq0806cc0d3Dj7/4tPrxcaahe+ETDGb1cf3908eHnofp7O7xvxT27Y//PgzMxu1xti29XFIPogoYLRIOBamAChgQ0gOSO8ZOVcmAnbObptuu93GKPXEHRwcTScTZQkhhOCJDKiVPnxDXdd571MZxPHxnb39WVmWHLeqyKwAPcjCGMccQggJ+pHlNw84FEQ0hAnCmRaepRgPkI3BzbaIlNAD+fCyJEoxkXxO1o7rZukjoyBVrqVTJ6IclTQ9JMKIxGxKZLtGRJJ4kiGMhYNNntQsj3DVyQ/NBJdVdP4ujaLm+Z7yd6VwiEiEk8nMmvJPf/qqbfzl5WWIXVXZzz/7rG0bkQjgQCkbTanuYfxcY0xVVfx3CHgiKooC5BYKJMv3scNyS9AXVbZ/jUFj0PtwdXW1XK7W63VZljjkK0IIqkhkmcVamNQzRLy6Xl5fXhljFrS1BCJydHTw9OnTg/07Nzc3wqqgioBo0tYgIgiLSN/fJrOUZu8Gsn4aCwge8Fw8NLRJQnmojMGUOPa+3d2R2Rgc1TMkQ2Nn3mYRAwBpAYloaQSdzRJnJGF34bwsxbJl+pGYS/GELIhjjClWleihaZqqacqyzPEyHDI5VVWNH/E/MH5vqy4auSZjxlTdlY7gbr97FtBBfwxAOffo0YPOy7vj87aJm233+PHDx0/u1ZOirisfYH9/Pt+fWkuqnAz/yGyMs8YAWObIooS9EhoLTYtoiHSXaGAFY4PXGGC73aoqGgghTCaTwlWJVESUiHxorSlAxaBZLq5C6FS1rqu9vdnh4T4zAxpCawgkerRGFUXgw4ezy8vLqioe3L8/m02MwRh717prAxlwhGQwGRBEIDJEnUQBNLvMSY2NfKZx5E9xSF2hNRZBJWQScbhDA2TllvA+KZUeQrC2KEtMAJxBOyGzZhmUcV7pJmNwKaJJQBxjDCKIpNrdFFYvuq5DVBGNMRpUYxBJAUU0CoMhp6pFUXmfvmVDYGMgfT0R2WRSO2e2TXh/enl+dtW2W+v0N19+NpvVgEEG0JNK0sOaC5WyNWeG4s2diIwBOCY1gGQRMWWBswRPVmcIIfWrEYQQIymVZRliZ4wxFlXZkK3rcrvdCmvXBo6aCt1Tk4PUPiXt4XS258rq+mr5/Q8v3r15u16v7945idF3vj0+Prq8Xn3++afVZNb5DUsgIg6SrWZnSLFfvwGDqAyiyorAwgR9pn93Oux7zaRRNIqyAgMKC7MPydMUBgUJofOhz5ykHJYCdDGUZWkMsQggmqGyJD9iKHjwOpT7yihPSgMGUEaJPBj1n0hSjIeiyLGbltReqjeIKUowKJWqqg4PD0MI0fvC2iQUceirJSLRe+dcOvWcPMl7yKOcrxuwZnlVaZFEBkB22SFQxB1qYdgEFoEUe23b1hRMRI+fnMxms/VqWxT1fG+vmlSqTMYq66ZZb7utGkFOZiwQ2e22nVSlscQhoqiSAAgaA0oGERSRjA0hDOWgaIxFRI7YBVaRGCVw2n1SRRCgvlyjRxhB33mOV6tl0zSAMptNJpNJztqyJoMzIVacc+7qavHjjz9Op9PDg4PptE5qJ7UWSSXTrNz5IKxDuLfX1WhIIWVkFIDyduXjh5FTmbUZg3rvsxYCgCg7f2E4jx2kOFkQZgfMMwmvDL3fKjkMIbfbM8DgsaY6p+SNjpVPzo8kHfYRWfQOqWAyBpm5qioapagy+Q6pA/Ad39ysAeTe/fv3Hj5AQ3VdC0PTNABUFEVRuK5raIgM0ijUld+RRs3bEv7F+ziAGzE7ETsdKyJDYWC6T4Y1xYREBFDFoihms7229QhmvV6H4MuyDCFyVGuKsq6qarK62b589fa7b39er9cxxsX1i7oqEBUUHz1qAYCsITHcESLO5nsJ3+t9qym7RalfEiIiJ+gNgqqEuOuElURGLg7N+2yMSTnNpKK0z4tR34JpMHASi2YkGqTglMLYMoW/w3l8xMkfXdkqH9OtDtAtGbY334pGMaNs46RXODo6ms/nV1eLRMBlWepQBqBDPw8Zhclz+Dy/YN6TxDHZgsvrBMBxEiy/2se2/+BvIiecM7tC9w+mxjjrFDUKGAJZLhcv37xcLK6YA1qcTqovvvjiyaPHPb0RizHGqk3NXpJdqendpScyi4TYe9pkwDnH0Qy+D+eVDWZI37VKBZmZI9zcrBM+ezabVXWhKiF0kdt0tCF2IJJyN6k63zmHREi2bZrNpmkbDwApzhMg5YgwKgNwDJI2nXt7GNEgKOlQ+UMyxsXtdnNwvvpQve4iVn0GMEsBGlpoJhApMxeFBdBk6KWGXtSHim71GMlElgkIexsbEM1YGo5MepPSOzKEw2io7bDWSh9uF4BsnysR5udSD5JA77vkn5al29/f39vbQ40iMcuRruuM7eV1ftO8OXm1MvSHy35r9qPzL5N51fO8MA6R8vR5UBJm0N6bHjL3pigqIsusRBaRjLGFs01sbOHm8/3tpn395t3/83/9f282jfdRRAprFt3qYH+eJGaMkQjqulbmzWazXseiKIqimk7nzoJvN22zUdUIMbUMBBAgBNCUy8/wKBg5NWMnOmXQYMB/jK/s89IoPph4wRjTbZtcHDeO8al+DCtLW5c1OoxM/vFndHCr49CoLy810aTFBCZClZ6WeGi+WhTF3bt30+mMXyTLQRhc+z4shUjJyoM+3sYi3MusW/qMRxVm+YcxIfUvOFS890QeU4ZLq6oU0a71PsSitGU1ublZf/fdN19//d3yZoGodV1NJtX+/nxvf5aWx9FHYdUoyWBBk9YPqiiaWqCCAQTUlKktq6Isy041Nf0TaVPgzxiTGlVqH4BTMhYR27ZLBVOION+bzudTYzE5n9Yalr6vRV3XInBzc3Nzc3P37t229W3bbjabpml8l6p5OQSLqK4YcJK6C7rL0JJi4FVNsT1jPraPxjyJoyqQIYjeb/GYCjOP0SjbCEN5gdlBdXdNe7P+hAE7l0lz/Kd8/6SQ858ywcGgkJ1zhkxujJvjFGOyhsGQ6bpuu90Gn9oWW+dKEPAehjdKJiqlUMZ4c8ZLoiE5lR46XmrSyRkzkV0SwR3KMQnEZAUgYgwCKAC03TSbTZMY++DgYDqdJju06+J8/6AsS1F88/bDf/v//altY9twVU1j9CJxb2//V7/6/P79408++aSeVqJRRY2xP//88vTsitBOp9Onzx4//+RxWU1ijDF0SY33EQBFVVHGBNqSIRWTzZaMQur5f8hsjmJMuzB5zocmCZKkQNd1EnZ13ZkMrLUh7GDlg066dY46MmRwcN/GucLxieNQy5VhEB/FE2FXsdAXpcKoPGuc8M25o3TZIWOW/pvVVV5e3oFh/VFvh9LGMnfQwT03CYK1FggRXAgRKnBF5Zxr2/bli9dv375fLJapk0ritVT/W5YlIluyrqAQCCQ6ZyWm8C6pKqjY3kxQgNR/YHRUw1I4ldcoAhpS1cgxL5qIVqtV0zTed8bYqipSAKXrfIwREawhIrBVFYT/9t0Pr9++TZLbOaeKLABoyGoSyl3wRMTam77WEhliZk7QTUNkHSICSyqMIEIBNobs0K3mI1bEIbk+CBqMsQ+jpvgLjSoecIhqJR52zhVFkcFQ6XE0gjvobSMl/ZscJb0NJR//Bgd0aNeFrgvG9Jq/KApjlQzk/naI2sObbndBERFm9d5H4c77FEZ01tZ1rQxt2+a4beKEnPocrzYvfrw/zjnv+1hb9kRSmBYHOKJzTmlU34t20MYIQAAUo2w37aSe3jk6VgQkKqtyvV7bokQwhorVevunP379/vRyvfbG1E3HGuXk7p1/+uffff7FMx82rkxBQK7rGpXevT1bb5rLy6uqqq6vrwtrnn3yqCzLZKEP/CbCGmMgsDxCPMIIA4mIFmlI6RiLJAjMjKCp/7eCJk8y9ZBlZlAwgCDKHGJOP40QG1mi6W33P3PHmKXz5o8D1WN4pzEGUPMjBjjCLRhtjh6k58bY22syIASTOO65mJlHbTly0nDMJjJc49xupvlMM5kqxpSc7qkwNPxBILLGFqoQvDhbTiaztokfTs/fvTt98/pDDGBMKaJ7e/PHjx9WdRFCt9mE4Nv9/ZkZKnWZxZDZ7adK8kWROSJBTtAipg+HBEFIDpH3vqwKIgLu9bYhAwBJTomIc2StIQMxRh9a5kiEwlLXdVEUwfN6vd5sNrN6+ujRk4ODIyKw1tZ1nTal6/o8ICIhatruMZGNN25w1jDyzp4fH0BPFrBrEd2LDGNk1ClpZ50NDQOymk2Wf/pw9vtybEL+LiU3NqnGEiGLA1VNKYgkAY1JlSUhK4ZBtt4C7icnKDsFiMhDIAwAE46m67rJ/oQIOCThwpmSxoSVFylD66Kx2EJMfTL6wE1u8JYdwDQRABG5z3ztmosimqqqXFkgpKPsrFJd1w8fPkyBHiKyxs3391c3zYtX7y6ubjZrHyM463xoHz958n/4L/9y9+7cOm19DKFzBSZ3p2njetOGIG0T16tFjPLq1Zv7D07qspc4w7uASIiRzWDgpL3Kp5xOsDA7YLeMkm46QJOywe69zzcfS6XkN8AA7oORAQIj7Z5/HltA+frow/kDqgnYuAtNwGBepTfK7JC/nmtUYRTad84l/ZpjUvkF091olN0br/+jperfVSllM62/VT8HYBDKSAhGRFP5kXNlDHD64eL773/+6i/fNo13ruYo1pqDg71Pnj/99NNPZrNys73eblb7+zORmLABMUayu6psVe2r4UAEBJwzqc51zHuAogA+hOTcEJExjqivX2HW7bZN5SZ1XVdVZUxvK/Y4A3SEFtR8+PDuw4fTsqw+//LXDx49ZtUYNdV5D3GQTWrHk9Qd7tw9MIYQE95PVCH53ckwT+fXN6AnHNY7GM9wq4UAAJAlHAzfRHP5yryaHP7QeQ6xmtTpWRkg89FR5VMcG8wfEWWmFeg1oUvliWVZet9636akiSODolSAKqTeiZmkkpAqiqKqJq1n34UQY4zRmMIV5bCHFlWqqgLwCaFnjEnY8XzeOipCzEoy70DCT1jbFwOrqjE49LoyRASGErIju+EpbkgIrizGA35EeTqd7u/vO+cEuCjrSb3PUS/Or//4H389O71uOy7LSRQ+ODj4z//5X+/cOXQlVCXu7d9XCNvtpqwrawuVbjqd//Lz623jvfe2KNsuIllWReucqgKo9wpg0DjnUm/tvHU0tIJzZHSILqe/5skUI0rbabtkzoyhyPkzWdbnz6c/jZlccn/tUbnvmPE+op98Q2v6AQf55lmXiOxSBIgIIACUyzZolFhU1TTHKMk1GVWPyghHmiTakJveEQOYvheFgpoRGAVGqcMswoio/6MSGYtAXQgqpq6nhPb9h/Nvv/3h629/XN20XaeF07Ks9vanv/ntl7/5za/2DsqqUh+p4EKAsa8tI6KP/WWbfFrawalBOAyqRvvcyg7yY/vmGQM4KMbQdZ3vIgCWZVHVRVEUgH1NhgwDJ5qmOz+/bJuomjJfmjY/zVMa90jJPnnmTNW+7sQYk6pMUy2IiIjGXFubtz4XeBORguqojx3frqSREDNFjmkicSBYzdxrzC4SiaOGxTgCfOqAh0if+Yi8hhX2n4e+etMVBbUtMec2WEPQF3euogwhEjTkOYqoIjhXJiqZTCZkjAgUhTOYbD0gAkDBftzMrvqURiGbMcHByLBK7rDZNVG7xSrZg5ChB3mv8QbEWVVV9aQ0rrLW7u/vqwZhsbYQkS74puMff3rRbHl//7Dr/HQ6+a//9f/05Ok9Duu6rokimb4GRXsEkz06PPm2+4UZy3LaNp21RQhservDGdOfaaq7Jtj1M8lJPWutRk5qKWsLGBWpjQiMstOUKdAYk1RXGg8Thz7xo2O91WkAblc+6chRyr/MuiF/kgdIF4xMmCQAxjSTrSpj0Ln0XcoyNI13y9zX/zBIUmamkeIcnESb5VfPsKNdypDLTNg68v5SqJr6ZyES+S4kK8+QOz+/+vrrv/3w/YvVzVbFlIX1notCDw72Hj68v7dfkwnb7dYYnEyqzjc2tVQUds5J3G2siFhHBgGl912tKQwiRvajBqQCKAlYpFpZa0PbJJcNhrBrnsk1n0+ZQ1HaonAhRFW1rtw2YbFYXF0vN5uG0FpTpGPw3qsjBWXgwCGyWGsLYxFRCZFMjFFFUpQqt100hkC1d20URBXRJHhsv16zG4eEuktYIBhDhLRrU6WplY/sALs4dBAlIjB9sFlVZZRVxFFfyszqOUaQ468wsoaSvZlJOdXipPoqEbbWpl4OqVffYAggsxD2gSFVZZUYozAQ2dTKkYwxzk4mk5SA877hkNMF6pw1psea46gncpa2Yzk45qiRBZoQCT2UOcbIwyyZEIKxFokAVGTXdQQRo0pZ13U9T8TgnEFTANguxJtl99Vfv0VTu4pvNuvDw8N/+9d/fvbJA6Q4qSuiiBRCYABgFjKWyKqGR48eA/y3GCRwQNTN1oOaruvK0hqDRH0trmhUVdSdlBkfh46wsjKEbFKVlbU2cX4SQwk7lu0mHtAqqUENDsMKcSjSNAO07SPxlLddhwZVOWhNQxVxEnlZaiSlO7YjAAAR0iLjqHksESWLJx1gfiwRIO5K0JJV1YXQdV3vBg6zeYwhAM3dBMZ2HykCYI/hHGn9rHR3lA+KiKJ9tWlUARRni6qqlovVzz+9+P5vPy0X66KYlEWx2jR1XT969OBf/vWfHjw8JhNFvDEawi7+AKgA6L1XBWutcqqvAjuk7XcdOZgZMALQUDZPAND5ptl2zLO0bykaGEK4uVmt19u0pcnvS2Ma02EYctZWAHZx/ebDh7Ou6w4ODuq6Lssy1dklzE6CKRcFEFprrWZKMr2D3ctEUREoigJBcjNDEbAWU6Qs7aAM6bOd5BoEs6oa2pFOIlYzzD7KYmj830Fw3AIi6G3nbvwbuV0nxaNKiLEizVyNQ2AVshV9u9elDIEwgL78HZCGDFG/wiz3u8YTkXMlEWDqNj08JxNiunkceifBSM/DKPQrIrnP5GipOl75cNseR5bYwJg0FA9cWdzcLO7cPS5dLUDbpv2//z/+1x9/er9cJNOJnj9/8qvffG6dFqW16JljjCELcRERBmOMdY7QKlHXBoX46uXr1Xp7796hcNM0bVHY9JU0hYigVzapK3RKIzCz3vZ3cIhJ5Txa3vM4DDrLNleWdzRqbfp3m7ALD+VjlVFsSEaNvWSU2suiLcmpj5IAYzPHjPqmG2MQk8cKmXKY2XufIoyZbBJ5pDBW1mF0O9k9JsXxsgEgF1d+xE394vuvESKCYtd2zpVlVbeNPz29ePfu9PpqJUxFWQojkT0+Pv7DH/5wfHwMIGSMNVaClGUdQscckJBMP8/tNo+ATbEkGPXwTSacoeTEWebofbtardbrtepRv0ekxpgYwmKxuL5aioBzRWrVPvADWeOKoiqLyeX68uzs/Ga5NsbeuXs8399DIgBc3aypgaIoFKDz/RC0KFrXFREJKCglQJMxtiitb7sQfNMFZwYEP/Sxf0jVMND7k1lM9JJLsa8/A1VOmgRFFVRUlTEV14OqZK4eHYYiajaBs6hC6l2qfKL58PICJEHPQMiggiABDegt7Wss4u7IkxGFqH2/CkVEQBWNUVgRCE1f3oQSQkid1nFwTDLDGGMAREFBlQh16Nw69t/zCseCqd8rBERkQFbAFHMhFAREQGso8SFZBUpqxnMEgxp6xkshc+ecoiBqHrel6M7Prs/Orlarpqom2+1mMi2fffJoOismJURuYuyQxBpVIlFMo4xjjEjU1wl49j6SxeWqaZru9MO5aHuwP7dlEaOPMbJEIiJrjLXBex41Pk7qC8fuzGBOZuxFPncaektkyZ6tIRpKgjO3Z4EyjnzlIx5UaS+hzAggfcvWG/Rc/lZKnqa/phqAqKKgeAunAjoM4NHBLxu6DHlETGNJUlcDmzPORAoKqVREbynOrGvHu5QCnf0vc4NDwOHJvc2VPIzUcQyxfPf27K9ffffq5QcVO5lM2yBtGyJLVU6KomobP5m61c12vldNJntNsxHxwhSUHZmyKI0xMfUox76Rkc3GMI3QFmRSj/P54dHBxcUiBlmv15vtiog4gc16LWTbxm+3DQAUrjK9i+8iexEpi8La4ubm5vvvfzg9PRXR6bTa39+fzWaI2HVdWZYJa2dtWVWCYLyPzjkFxwIhRlQkU4Myi/oOyNQkJBIDQGFLoj7epKMwQbrMqFIEEXPTtLT1kmvZdIdC4L6U6RaeDRHTQXwUfcg6Z0zfOKjfsfGf/mryfIQ+3bybfpoZZkSyAKO2WQmezswA5GOsVFDFhwADxCHZ9pD6wUMPrFeRfjby/0b49iPFOPpAkndpl1LBxM5S6Ldi4LRe+aMF6lFmCQA8n0+regoAUTjGaFzZNt13f/uxa2NZVN5H64x1cHA4n08L1S5sNyqhKMnZ1I0AA4ohUuAY9fT0NAgzKxmnyttt+6e/fA3a7O/V/8f/5X9GMKkfYeSY7JFkeiSOzfIXR1bP+Id8uDi0jf47RdVbXrm+N/MzDuiBdHTZdsZRdDx9Pg4zF/R23ECHIFGWDpkU84an9SRT2sCtCanj+JoOkVZVTf5slnq9z5QWPGRC801o6JSfFwwjdZv3YSynVPt+xGmCQ1aZRHR5cX11/fqXn9+9fnnWbAXRcYS2jcFHtGa93vz884urfz+9e7L/L//8W2Nc7BpEqKu5tdT5rUhMA2FdP5VqSHf2TIWKCMwhciQigwUAzOfzu3fvvn71YeW3TdMsl8sQAhpQhBCiqAJhYAlRyDiyztjCFRUQ+jYAkHUlC7x9++7Fixfb7ZaIptPpdDpNHtlkMgFI+T5ryHkfmRW0Y5arq2Xbtpu2CW1AayxaVq0Ke3R0MJ3VhZu4Ap0lImCOTdOIRoR+hk0G+PXKMDlioxz82HQHIFFEUUOmR1Tj7fmcI58uh5+T585xh53JYijrz0x2WTrs+pwoQ+rfZNCiEf44Pzh8KyIaVcziDPpwOOgAvARDw8QNTXjolIpLkibJGoM7mZsvGrqm6UiK9ayLyaEYITZ6/W4MWUDB0RA6ROQoaDWKKmr0npmtNXfu3EGyzAoA0+lcgN69ff/69fvLi6WPfZfRqip8u/Jha40AsjFokIAlCKeOS9ZaS4jU+/giAmBjCJt1+/XX386n9sGDO9ttmxorE5GB3QwFAKBRTAcRlUAQaOS7JCLJbexp1F9lfPT5BOk2sDt9JkeLxpGTvJ/5h7Tb41pLHNBtMBQbS99MCgAoqgiCqCgoSGpBa6yxSMqDYHUJ80WqqgYRAEWkbVsaGs7k9aRed2TIWBy/CACYUVOXvFrUYaAoaMKSffQ6PYWDAvSOfzqCuq7PTpevX70/O72KEcpirmCCV0OiFradPz+/3GzWLOH6+vrs7enjJ/eOj2ZPnz16cP/k6GheVZOmXW3Xa1MaUMgTDRSgl1MKO9bqjQ6NVVUdHOwZY0Q4BF2v113XzfZKhTLGyKyp40pS9USU67YRsShKVT0/v3z16tXNzU0i35N7x0dHB0SQQOqpNVrXhk50uVit15vlzfb167ev375j5slkVpalKyqJ7GO4e+d4vQ2zWb0/n8736tK5snKFs5wQeOk0RuXgt82cHamNc3+J5lLlSt9zEvrwfP5uOqDM3iJJhUCOi6fP5KdnZyF9YyyzRuvZ3RP+bp7HmEPSJg/8kDWk5I53rizJGgCQkRTOJCXCiLeO9SPhO37W6Fs7JIfmmEAqFKFUwEBDiy6kGI2xiAndE3K7S1Eoy9KVdr1ef//Dyx9/en11uSRyqaZ6Oivv3b9jLVmHodnM51MJEUAkRGBAMoV1ZHvFkMP/opwApYT24cPHh0ezxfVNUViRtFqnKgnjhn8HQeq3d4hF5ihS8vvGkivNCjGjhstj3TPWScPp73Zs7O7lbaehsHlskWU9EYdWdtS35E8m6g79INxTdVmW1vUNDolIRb33aJGILO1mx2U9lEVqvw8JpB3jWE5l/Zd9CABA+FhxDq+zi96mmxCSMQa077+OaOq6RiRViIENsbEFQDSWVA2ibrfrdIPtdhu23dXVYlLRd9/9+Iff//qf/ukPk2lRVuXBgYsxSPSqMVOpxVRnq0N0DXtJjyjW2r29vbJMyV1dr9eLxaKa3KVBo3at79ogAoSmcOV0OiciVUmTVE5Pz//2t+9fvHix2Wycs/fv33/27Nl8Po8xsMT+hKJeXS3Oz66///6n1XpL6DZtd3l1UxTVdFpOJkdgaNUsV1u/Xr0tS+cKOtif371zsL8/vXN8eOdovywrY0yIHTMLqBIaoFvKATFRbF9zZzHDCGTI91vjUhJnHEFMOX4dfHgYGUdJTmWyEGAFgayEBjE0ZoChcUJq+wPYtzDFMa0nmG1SjAOCRvIAVIDUywSYuYsh9KN96qSNUy37cDRxAJrtQh5ZTo2DuFle57/m7HjG2YKSMca4XdFJ6hVDaJm5AEQ0RK2qivTJza7rAE1Z1vv7h822e/XqzYtfXi8Xm8AkAta62Xzy5ZdfPHr8IEXoNpvNpKxEMCn7wS/2LCFRS89arCJalPWTJ89+97vf1hMqSztWJyJCaLM3DYhm5CXJkLUdsygNsfORpOj7BWdZRqPiyny4Y+Min3VWkB99MmVjcoFLfnQGeSRYqbU2CBMRJdyfEiGlKepJemJfimoAQHrcyTjp3D8oxqBDrygaIA4GUNILqgIiGQNpWxCUBrHVW+W4exFMppMo9FXfWXIZYyQVKiv2syzRTCbV/v7e+dkSsPW+7dabGIUKt1qvGFBV1quboiydc5t1qGrbbrbM+uc/fxei/ObXn91/cEdI53vzzWrBbAAYERXYpqqoLHcNIKto5C5KXVdVaVxBxmoI4epy8e7th/n+rCwNAAljjDB0OzFF6SaTSVFUCgFRV6vNq1evv//bj812iwjz+d4XX3zx4MG9rmuadqMq8/keoX3z5sMf/+Mv52fXZ+dXMUoXGMmVZT2fHUWx7z5ctV2XOkDWdS2ATRf9+fVyuSxLe//k+N79O7/+8lOyagBAAwsYgyia9QP1l0U0oEhEXQxhyHqCavAeCrK2qKoJc8jI72xlWLsbewuDl04jNHOmvGTvJMWSzSuFPLomZg4BgH5JoNgngRH6oCHJUJmcstEpMhJjNMaNBjFoFLHGlWVprXHOMTciIrspDJAstY8cmfzDRwZU7/4PBRCpR7gxxgeWyGgss/gYCUAxDpajiTGmqWhdGwCgKG1Z1iLS+i54JmtikNbzat1dLTYMCe4E9aT6z//5X7/48sls5kQ2jFoVZS8uFbEfYdIBYlWlUh4PAJE1RiaiO3fu/OrLXx+fnExqKgtEiEAYo4r00yFFI0EhGkHJWOQgIpLsZcJbASkYWpUZY5I+SH9NgKksVpL4tsOIkJRDHNukiBjjrgZgoIfdJMFEMGbopQNDX9AcozB5LLZmYadKSGRSHjO1DEseXFo29FY2xBhBew90CHshjuYqaS7lQbCWAkeVW/Y1IiZbKUkoUOhny1Cffes9j/9BHTIiojW9W2YAp9PJr778FNGq/rJeedywD8gQ5ntVEA0hYBpuEgAUm23Yn0/bJr5efbi5Wb179+F//1/+9dknDzbrjmxJUUQAEVQhdThCQxYApPdCIGkAUD7Yn335q0+269XVVdM03atXb+/du3f35NCaCYpR8V2bwm+MqNYSAKqYxfXiq6++evPm7XazQcT5fP/J00+m81kUDuyBwFlrrWHW5c3mlxfvulaWq2692TpXExpDZrONN2enTduqqvdxPp8eHt19cP8kBn918WGxuHYFXV4urpcrWxTPnjxGohB90icSPQExIBJFVQAsXWnIxkDex6vry8vLy6KoqmoCAGVZ7e8dqHJkAaS6rjebTdttM7UJAyIqpjBqml06ikOlHBDtWmGMOiWkqTK77LKqwhD70t78StQ8aPtBZBhDCISiQGAtlaVLWHwQAVEEo0BkKxWtqsqSCb7l0CWoh4owB4NDt8Y0NR6VcBfZTX9h5p5erWMRFU2VMUTgispa27Z+udqwj1FFBEKM282m6zqRfpJQIlwE8+TJszt37pApYvSuqIg2iEJoBdzZ+dnNolMpVQCIisI+evJw/2A2nZY+3Ii0hSPQNGSUObIxRjQCwGQyQTAigkAxsrVFDIGsm+0fHB8fz+dz3914L0VJSCQInkVVDLIIgxVjiAMrY2ltCAE4FiaFpcG5MvtElpCDDwFTs61k16j2mcrBAo3GIAijqgLlsRSIfeO2DChNIgkwZRsAQFO2N8VP9fYkZ3u7K7mIpHFqoGANBAFj0BZOBatqEroYQhd9azERJKBNxTF9gtJzNMaBsSSacoVDqI6SVSIIPeQqgcfRIhgAUFFEAptyJsLCFq0tHCl53zKH0T6IqgIZ4wpm7kI0xsUoqkpgLDnrHFFh7tjZP/3m6ZOHf/zj14vFajo7YEVEWt7clGVpjNtu/MsX77ZbH6IsJTqHaM35xWbTvBI2N6tff/L80Z0708msaDYL5kApjp7q6QD6RDshISAzWyPzvemvvvi0aZo///mr9ao9/XD+ww8/Wvvru3dPiGwMEGPqAur6gK7ger15+/bdxcXl9fU1EanC/fv3/+Eff18UTjVhplKBlblZtxfni20bbpZNZHLlPAQuLV4vV8vN1gcmZ51zZAsfIYhOZwdlQXv7+xfn788v3m+77s3bDwIqAk+ePqwmU9+tmSOBCRqtqQAQCTjyVjuO/ux0eX29vL6+vri8dKacTqdd193cLO+e3Pnk6UNEOTicHd859D7EIEXZo6tFhAiIrHOmZ/wRpmkwuBOONHmXO8sFEaGfJs8Zp5PpMl0ignirw3rSftaQiMhoun1Wj8AEgCxAfc0KDsM1EQAEGEWV+vwO9IVXOw8UQFR7ltC+EBettYZcWZaAoqpdFxaL9dv3H968ebPdeCLqQpoHGmKMKSKY3qUsXYxR1czn+8YWzpXeb60pzLSyZXVxvnj54v3N2gcvZBwi3jk+/PTTTx4/vu8MbFZrQl9UtaoOliAOpIgAENmLEJg0bWgjItNqPp/PBSFGZlWIMp9PY+i2m5aZkdTY3rIwxoCAqrBEUeawm3CXsDipgZgzVhEsGhpBihLmMx9TTwmRVZVlPPlmVI81JPgQMWMjYQhGw+ildFRfOXYSk64iMP1gUYn1dIKI26YLQQtbWFuACFGGpyfEad+2KEuT7H2OYnMw6FFJMRDVHG/qMdLUN/tNFj1471USCsIMQplo6HiT7cGUic6EHUMwFvdm87qWw6P9u/eOLy8WB4d3OcK62W6326ZrVfDiYrHe3Ew2wkGazcr7iIxVVTfb8LfvXy7XS+Z/Odj/XaehKKrt1ouKHZ7Rtx9ICgfBpJku1trDw/0HD+6/fPma43Xbtq9fvz442K/riTGu67rNpolRqsocHx+r6mazOTs7++6775bLhapY6z7//PN/+7d/q+uCOazWCyRo2+3+/iELrFab9+/OUu9QALLWAcRt0yLi3aMTMu5ms266rixqAX3/4Ww6nX722Wcn9/f3D+bVpHz95mXbrN+8e4+ozplnTx5SVbXdOjADUNf5yXTOzGSMAi1v1i9fvf/qL99uNx1ZpwzBMxkQiW/fXf7tu5/39usvv/ysKCpjdLttI6cShFw4LohgEFKan0AAU12RAgx+BCGgIonKLok7FPHwgENJdrtmkBwIAUDqBzaQF9qhPX5CWibSVlSRmHLwmOLECDvHkL1qP0gKFRWEFVQBhip83eXmKXuyKdtYlVVRFAmtttk0TdNeL27Ozs7en55fX197L6oaIsswYSm5MM5YZl4uV9ban376abPefvmbL588fQRARVG5okKwvtN3b08vLxYhsA88mVTMHolDbDvPqbInBA+AqGSRwCAAsAiRQQMiDIBd1zKnqYeqytb2aRBri9X15XRaq8J6uwWAg709gggoKhgjg6KIsipg3+JGQQAUCUDBYs9dpBYAurib1ulsmWrceGh7nYLLxlmNtyCaItIDs0diiGUHVQNFBVSFPu6MkMPD2XOUAUulQ76/62I1naxutu/enQkYYTi5c/Lg4T00HCUicVFXRVGt12trd0UzObydgVpEiXYAEVEFIPXJItVk0ScAs0lLSoSaJDmzprikCgKkqppeWiVJlym5j5wak3BCANK26/nBoe/i/kFd1+V60yHhbF7u7dcxekRz/97x3rxuG95u4oe3H1788nrTdNvtlgww++tzfPXqzWefPjk8mrmSiGwMnR32t3dCVFVAiYBVACWFbJxzJyfHzHx6enpzA2/evC3LiTVFYFmvNhxFBcqy3m7b6+tfLq/OYwyTyWR/f/+T508/++z5fK/ebFYAAKhN004mNaEhLNbb7mbdkimq2q02W7/eGmNE+eBw/3d/+F05qX/48acXL14FCbYsNm3z8tWboqztp8+ODu7cA11tth+6TpHfnZ4dvTl48PB+XZbet23wZVnX9SxEKaspg15eXP3w85s///X7y6uNihVOpV6mKmyMABg5krHaNhLZ7O/PrDFEah3F6AFURHvXbKdIdxic7LEnSYSIQEm86DBBaDfdhHcdP6SPnqFTVdFd4cUY+YKw08A0JLBC8D7upqr1DBMkOe2EFikqgPTTq3Y5PhhdvcwaAYuWy+WbN+/SoO3FzXK5WG27llk5CiLW01mK7s/n8wSCA9GmaZjDYrHwXXj//v39h/ePt8epA2IMCKw+iIojsoYIgAEFiVNGHhGsJWVgZmecGYK3430ANYvF1eXl5abZAgoYm52sbduUBf7y8sXZ+YeHD++XRR3ZK4KzZWp3BUrG9DrGGAND1gx2LVCQDCJYzzFhFFU1mVGmb43fm0gDdl/KEQz9ltU8ythqj+DNB7SrlNht+23cv+yQNKLKtnBVMa0m9Y8/vvr62x+n031hff/uqijqyE0IzdHhHlny3ldV5X2bDzR148jTjHDUFyGRCQAEYQDSUYin13kGEJG5B+sxq/YzFNAYg4ZTt1EiAJMyD96OemP1fgWRAgPidr0Asm0T0RhCXm3XdV1H1bIqjaHDo9nJvYOu1fWqe3l4MJvNvvnuh8vLS2Qkgs2m+enHF0+fPPhD/cWkrCaTWdtozoYkUk6hX2BmYaAkqjWWlXv69IkIr9c3NzfL9+/fhyiIDhSvr5ebtuki/+1vfyOCui6ff/rsn//5n1lCWZYnJ8fO0nJxwSqIIJGVowhYW7QhXpwvmjYIFLaw1HLommBCUdHde0f3HxxX00mUsNmu3304d1Iw6+ViEf72Nwb98ovnRVU//fQzr+HDu7eF05tt1zEXYMg6sq4oJ8ZUripD4PV6+9PPb//jj99cXK4QK2crKop6gsYYAqPKnd80TVNPaLPltpGimgFI262STMnV0R8Z7YPxvDOzAVA14Xc1+VaZ5cbCQkcDf1STRXZrOhYPA+tVFZASoSOiJVeWtbW2aZrUmNAMM8edcywuuQDMjKPai164CoCiwq6DkrASGU01rV3nvb+6uvrll1/evjtttiGV3SoZBKqq6uDg6JPnn6X+PM65PDzKWNyuN+fn52/evFksrhJzioIxxXLRtF333//bX969PQ1e27YFBObw/JPHDx/c3ZtNRBtjjLGVsiRAmeoQzU1chVYUz88vV6u1sIISiJA1qVOgMLStXyyWb9++NgY/++y5AoskAFSf9DA9AEVVJRm/Qz+vlHLgKIKoYZjKZJ0rylI0IgIaUJAkVzIrAjANOJXM5OmAMvYlC6Ne38itguReSRHlioks7xQktW8ispPpfLG8efXmw/Vic3a2FdGnTz45v1jv7dfXy6vVanV4fAQS5/NpSlintIxqyuFwgq0gIlEKpTEicr82k4YVpkBqkr9E5H03ztIgonWOyAYJREhUFLkZA/TlscYYY9KkywQwlAF6DTEGNCoaYqcsotBttq0ox1BUVWUoVuV0djTfm02m1fTp06dnFxdd16xuGkNus26v7M1f/vzXwsE//sOvZrMq+s4O9l7KPoKIcGI+MMwhBI+oVVUcHu2v1ofr9cl6vdput69fv0Z0KqSKKti27cX5ZVnZO8dPnzx5PJ1UIvHw8JCl4xCKsrpZrVSBCKbTaVnXZIvlxeL9h/NNwyxoyE6nezHGtlvP92eff/H87slBUdWz2SRGv9psWMQYqwqr9fbnX16QNU+fPpzOD+7cffDq5Rsy1PnQ+ViXJICurMp6Kuy2Tby8uP7mux+//dvfLq7XrcfJpJzND7uOAaBwRepbGaPpgixX7WKxXa0bQiMIXdeVhXWux7MMu4SgmGqDAQBQcujhNiFqvhBNMg4QMfVTTmQxSD0M0dMQeh9/s//vKENMA3B5u922bZsU4a7E6rbRhNi3ShgtXpMXikNMVHKvW+iHAPduI3kkdcbN9g/m8/mknh4eHj559jTZGklO0TCpdD6dHR4eHh0dff/9d2/evDk5Oblz9/hmuQFyXdteX9+sVpu29V3XzfamX/zq2Weff3J4tEdGNYpFa42KskCqzhMAUgJSMsYBQGRdbdrOR0RjCschd4MyqvHlq9c3y7Uob7ctkS2KqvNbhwIowd/q55MMtWzjjOa/IA9tP1P5kTEGyaSy0xBCHEpkc8xbRDJYNNtB410d27npUzgaPT866N28BkxIIABDZIyZ7e1Hhsvr1dX1+ux82bUyneyRmbx9d3G9tJ9/9jRy8+HD26oqykltyCbLKCUBAMAiZTdwbO9L33E8NbbO1lzf83Lo02CLwiSPj8im5kHZ+SXqrT+za+jaQ3NASTjVe3HlqqDBGUO1ffv2bfC6abZ1XU7nE2PRWG3bdYyxKAoF3DaL+d7hJ88fO+d++flNjFFZrq+X797YH/amv/31F2nfrA710+mFVBVSJtsgs/rQAmBZUPC8P5/df3Cy3tys1lsVLMtS2HQtG+Ospdn+3r/+23/65OnDg4O5il9vtqv1tTFEqBKisxRCMJYQaG++f3m9aTtuvYSoCk4Bkcg4W1K5v1c/fHQ8nTnjTFW7T54/fn92+suLt8JCpkCEq8Xy9Zu38/0ZwJ6xpXF157c363a12c7nJQu4ogoRmm33y4sPf/nqm9dv310tbpqtL4s5kFncXDvnqqpSiKvNouuCRA4x2IKW683VYtmF6Gxpi4qMsoq1eV6mprZXo3wzK+EQyAQY4LJJAAEQgCIQoSE0zKwAKn0AIhuwrCrAKXdheskCCAiKzExABpDQIrAqchRAaZqmR1Fbm7jr73wNRMS+pkFGZKqYsiYiPeww8XL64nQ6PT4+vry6LssydRN79OjJvXv3yBZVVaXqHOxjExBCxxKEwRlXFIVzZr43qyblbD6x1hZF4YO+evXm8uK6bT0AzOaTO0d7jx/de3DvTlUQgZqiaLdd23qDVBSVRkZEJUzV5oAGwPgutE1s2xi8llXVd1xiJSIO+vLlq/V6+/DRyd7+IVljjCnL0mhUiKrqfYxpQ/rO38jcR4tZQLUv88yTMpOQijEqoaIG1tZHlH5ArDHGWBQRZZJhTxVUUAAh5chUNSonV11U0/BMiya1xk64uT6wrh8b0el0ysIWdeW9f/nq/ctXH3zAbaMxUAj+2+9+KSw9eHhnOpnff3h4fPxosbyY1HMOLSjrgBeNMVpXJCcymZZ9LzsiDbuJp9BXQ2mabc2qwMDMZVlPJnPQRIcGKbo0jFJijJGFgdCaHrufUPKqikiQcnGKdVWKxv39g7Zt203LzO/fn4qI7M/29meFtYYMGjRkmIMo3H9wZ3/v+P/8X/+Xv/z5b+/fn11ebKrCCpOIlmVljE1NCnaFRfnK8jWE4H2LaFLfugcP7x0cHdZ1+ebtaVVOZ7ODzdr/5c9/RcTJZPL8+Seff/7pbFI27ZKjV5W2bQDEWarrEsCGECRyVVfL5crYqvU3ZArRlDOhzrchdJOZu3f/ztHhzBAjeFC6f+/oV59/8v796Xrty2rSBSai9Xr7/t2Zqi4WCyBqG2lav962LCBISub65ua7b16/ePHhlxdvl6u1oimqqYqJwtN55QwB8qbZ3qyvQ2Aia8l2QXyQLnDK0hIRGEXVyNyD37Cvfs5CYbBgEiyjT5dIH5MCVcW+lNSkrAqCkSTfcJTCG/WEMoPtIyPktN4edIhGfBdTMhh2gMyUk+rrwlSSqwOICDyqyxuhaTAn0QEa3wGANcX+/vwP//B7REwu3ny2V5alZ6nrOsbofYPSIyETD7AwIRYFFaUrSzef953O63p6vVguFjchcFXWjW+rqvjDP/z6n/75d/t7pUDTtG1hESEJViOSOtioJH4TUAUVDIGZgZUEybiCoheGrvPbpttu1ttNW1TTvfmRMXa52ExqV08cOWvQGLMDqWqqxx26JCNZ0v4YVEGEY/Qh8HQ6da4EkBg5hJaZQ+DKFc71BcYqGGM0aMeckk1juGVQ7/o9oe0DXh9JJRnNZ9YBtJWcqc4L2WK1blZrHyIaU1lTrdYdoW7axhg6v5g+fHT3+SdfGCLBoNqjUgeaTAvbNRcbGXeUyal3b4f2voioikVRkS1Xi9X1coWiSni4Py/qAgWabsvBF0WRIvcJUIajQqLhPsYSxSCIuNlsDOD+wXy1WiGiRFZnEKGua1Vcb1aFq5F85GY6Kw8OZqnTRtM1k7pUwfv3H6pqjIKIFoZJxSIiHAHADO14ENECpbxqXVdEpqic6kPryuPje8L07Tc/koHSmYf3T37/21+XjkJsQug4hsmkAgAFVo4gggKp9zazVnV1tWwvLpdX16sYxTjYdq2P3cHh/MGjg8dP7iGGyWTOAjGGEu3zTx6dnT3/01c/RPaiAGIvr6+ne9OyLFbrNWGhgm3btW3HKorgg14v1r+8eP3q1cVy1SoUzhkfxcdQTNyd473JpPLeH+gec/jw/oJVnSGydL1crdYbRYNkJ7Op962kHq+YstHMCihoetBTPzqJOSohjIZlJeKIMVrrSuskxdGTUELopzYmJQZgLIowIIYUlOo9SoidN2SjJgBEQsSQKqZGg+n+WFWJNGOMUYVBLeyAziIgQ81wxj1k2ZepORFcgpIeHu0f2yLnnlSx7RpV3cQuGQMEJMACGjmKCBnquo3329ms+vSzpz52SWK2Pr579+7N63cxRh8CoOwfzO6eHJYVdX4dwtoZCKrS14tojDHV7gsCEfUhIZVN07JAgvn0zVcNrbebq8uby4vTm2VDCG/Li+Vy5ZyZzauTuwfCrTP69OnTqqrTRNse5wXgiiLNE6TUmDRpCJbJZJK6jMcoiGleAIY2GDDOlQloBsBEBEpRwy49l/x+QgFtfZdkhEtFhYhRGBC66NFSEmiDFEMGRUNRZZjUm+I7zhhnTdFpV09ni+Xm/OK6Czqf1c7VXdd1XRcC//jz6/lpcXTnjnOVMarGCUHqGJFx6sYYAWBQgzToPEyIXFc6Iuq6hkWKogAUjn3AqnCVKyei5t//46+n5xfRMyB++vzJ/uE+R398cqeazK0l7zsyZMsigVScc0jIHK2zbes1wGRSheA/nL7bbrfNttubzg/me6ZwzLHZbO18DkBd60Gp3TbGhdlsTySQUdGgqn2tLtHe3p73vp5YY6xNoLWcHchagpMmRxLhqDH4ftjk/sHcuGJS761u2s1mY/rRHVSWLjWeJIPWGgVW1cI6QAghIBiLBEVhXeFsybH57rvvL64XQFZEqqqsapxO6Pe/++Lx4zt1bZg7VTUKxtn79w7/6R9/f3p+/er1B2YrJjXtNCKKYMqyXhsjAj4wArFiu92+efvh4mK1bWNRTpxzgurjRokPj+b7+/Onz+7v7e11LU+n04ura4hWgDofi8IE0S54V5IqoCFnKw4++i7RZeg8IrnC8dBcwVgCsJ774cNVValK27bYD4aD3Nusj4YwoyFMYktBVWMQY3fN+VJLtqSBi8KxkvdeRrNGoIfjpl+Y4VLpUs/WFCge0A+wC0jB7egVjjJrSUb0iLChAZuIJJcwMXZvnaFJUiNlplRVgUUwRDEGaleVlVPV9Xr94cOH5XLZdR6AioKm07IoEZGtYQU1CEgKLMNUQBBRMECIAoqKgCgCqSs/ay9ZyRpmfv/utOva1c3i8mKhHE5PzwxKVdmqLqcTWxTy4N7x0dHJbHbAjKre2gKxr8vr4eCGQCTd3IKbTi2RWa+2q9WqKCpEjDHO5/OisKnlorUQo9fkNaOJMAzlzXDfof6G+2mgViQyi7XWWSuiXeczDSSjKYRQFAUNPmD6ZVRhFVfV779/fXp+sV63Cs7YYtt0kX1dVSDe+wjT8uXL18+ePjm+OzdY+iAh3CrcSS9rhprnPn0saJyjoXu6MZCcXDKkUQhtWU1Z6Ku/fv3Tz2+urheb1VYRzs+vJrNJYc3/9K//6fBgfvfkjg9MBn3XIAJa08VQGBtj9L5N1Zer1erq6qLzDTMfHO6BEpEtqiq1P9ehewQAWuvIYORWhnC+MahqVFVRisIOJpvaQXPq2JMHQJvMSEREJFGQyKLEVE3qsqhF3YbazWZlDKpSVZfWUVFaUOXYAABzIEBVMmgFIIF9UwQBDJ1fXS9vVhzFFqUx9uhwr57Q3tw8enwyndmuWRFwXde2MMYSGnt8NP/is2evXr5jCY6cM6Z0jgBLVzabBsGA9oWXzBqiNNuw3XbN1teTmTGmbbfWwWQ629ubPnh498njR7PZbL3aXF0dWWsDAwA0XbAOF8vVetu4ogzBe99NKouGiroSiSLiSktEAiIoCsrSEz0pEhlbuLKqQgiGORWpJZNYVUUFFBCQlcuiQOkBdswcvbdkQwiOiNASKhIOQU1Kk59UwVpKbQZ0KEscsscfR6ayZwF9NVb/yyykshuYXExETDOBkhjNZ252fYcFAAzkSgxMLcfTbUtXRO99DERUuDJpQu/9er1OvcMQpSrK/YPpfG9SlMZAD4gQUWPIpKQ399ZoWpWz1trCd7zabNfNVpXJAKAAYBvad+/fvP/wVpljCCjqfQsajIXSmdm0ODysy6JuttFQYYiJLHMIIYIB55yzVlWbpmmaZrXebrft4f6dyezg/HLx1VdfvXz5OgZOZa2//vWvP/3s+aSoRH1ROO0wsjfWiAgalxq8kulNP7IUQrCuVIyR2VoSIOPKqq4NpNo3RrKGDIsAKyIaW7CAKBAZIoPGmMIVrgqBz68W3/3th+vFOjADuvV2U7jSd57Z78+q9XrFYSPavXnzdDb/tDAwWNBFQkshgAgwC2KquRFRZBZrXVVNQLHxXWBVUJEYfEQwqjifTQHd27fnf/36x8ur1WrjN6tWgNpmaYumKkyEv3z5xaeHR3fne0dttyYTVTlKtI6atimKwjc+zTrtukY0AmhROGuNiBIC+46ITGHJoEEwBD5EAKjLeYwxRr28vFYAVxZieqxMWRZEqMqBw67xRY68oKAkmxAgNXgwwzQklsBclKWLEQblz86Zo6MD5yyAWGuMRWZRVTJGFRX6hpNEBMYURbHt+PLysutCFDUgDHG7Xe8d7D97+vDwYB66FXMkdIQMqAgW1ZcFPbh/t6ycv/ERvHNuu2lRAVGbppGoqmqMY0AEMsaZomy6YIwLgVmCUnCOTu4dfvH5k88/++TgYA9AprPJ3eOjp08fv3pxqkp1PQXitgtARhDIOIFOkDRyWSRpHg2ljH4/CbUPK5BxrjDOIpgYhKMSWkOmKCwApFl4CcgjAKxgjdMhMKUS6sqppsJeZBYATCKoKIoUrnXOUZHSspgsJkTsTQzVPHfD9ANKd3mlVDyRscjjOIUOV28+90YxMDPLblLWOHCZzYFejKX5qwDsg7WkZKy1RVkacl3XnV9dXl1dd10nQqn79dHRYVUVLIFQP7pzgiMAkLWWLAoDoI1C27brWlZB50qkVkRSQXnXBpaQJqEhp9SV7do2dt5a2GypacL11fLmZm1tjz8kIh1g3ES2qiaFm7hiUrimruaL682///c/ffPNd23rFcigWa3DevWXzssnzx4d3TlEAIDgbJmw8sYAkRWJaQ+0H9FmVdGaStgLg4opy7IqJwaII4HGup6kWndVZQ4AEEIHozphEQkcA8N2255fLlerTWBB5NBtgwTmjlEEnSupDe1isXjz5tWTpyc6MSB9gYTqLVgWM/c9+ZHSmL/g4+u3p6vV6vBo3zgqy8KhEUHrSuvqLsDX3/54dr5ouhiZlCoEYrC+YR+0e/Hh+M791cYfVfO6QmPM8uYqBe9s4QR0MptykC4GVZ3P513XIiqAGmOsNcKQTG+NwnbXVtS5UsV17eb16zeqiGAQWQAm07qa1Namnkxx17Q7EW5SrNqDvPraNCJwziAaz7HrurKsCueCb33omqaZzWZHR0dFUWy3K2cTLkkZOLXuV1UywBKMsaYorLVh3QprjH1Bv6iKxKOjg3v3j11hujYagsIQSGxbb6grp/uTuj483L97985m80GYReTq6mq5oLJ0CMLM3g/AcWtYWQVUcbNt6rqu6lKR53vlr3/17PPPHu/Pa+WOCFVjWZqD/dkP3Stjyrqug183PmybbjqzRIZssW28htB1YTatXeHa7YYlltYBGhDAVGVgLaElsovFzc16bUw/GuPOnaP9gzlrE7g1rsDUG4ptiNR3hwIDgLZwzHFWz0MIHDpjCTCQgdQ1oTfHIDIzgkEsBXoDKntkKRpFEXL1tPS45B7Bq9D3ohnLqbHxNfxXzTAJZ2yyAQoRISQwcOqGvXMje0NPHYJxriCybbu9OL9eLBY+BlBnjJlMJkdHR2VZYt9khgiNcUjJhWSTmiiBgqECQb3H5Wp9cb46P1t0XZQhrG4LU9aVshgxdVURUWy6zjcIbIyKdgqyt7f3/Pnz43sn5ChK9DGKRiJAwBgjkrWIzNo2XsTMpkdE7uLi7M3b8+vFptkGFphNZq3fLq63m9avVpt//Mc/zOaVgi1L2/kGCRVEFFIKCLEfzeKKKvUzsEVBRNVkkoyj6+V6u93GGFsvBwcH872pMWazWa3XKzJojWGRFCQJ7DfbLdrpar09u7hYbbaszsfNwcGBIt9/fPfZk0fPHj/49uu/vH3zwlj58afvjo6nv/7yuTEkoFHFSmYoMcZEZhE2xjnCqqqJ6P3782+++T5EfqZw9+4da8qyLkJQsoWAu7hcvHr9frlquy23ISIWqthuo7W2C50gLG82TRtvVs3hwYx9V9Yz5lBXZYw+tVfj2Bgy4AAguqpk31lrmYGIClewBDRGQQSUVYjA2dJ3QkgvX7w9/XCJSIjGGKgq9/Dhw8mksg6R2Bi0YyHVhzoId+UCiMkiyDmpNAcCEa+vr1Olj3VmOq0HES6pVdsAPFOFSFRIfxh9FAb7NAGxInOYzuZPHz+yljabVW5fScaASJDOxWhKmE/re/fuvnt/0W6FiJqmURHEvb3ZNHTbVOw+wCMB0bRdwNQ1tKKT+4fPnt178OBoOrHNdqnK+/v7oJ0lDbER8UUxQUQFUtV1056YfSJ0Di5v1rHpnEEQmkxqRKciMbJzLpXLqJCh0lDRNN3PL16/e/shSWdEfPTowRe/+mxvb8+akvvRb3G1bm5u1ikWrqk6UOJkUj169EiVQE1CqxRkXVGE0MUYU/xY+kEgmqJC3PcjH8YUD9mlZKdk3KFIzPCu/y1jCnHo2K+9eiKwqgqYioFyECal8C2gJN8iJTpjjAoOjTOmsKaIDJcX1y9evPKBnStUDCJUVTWbzYwxCdoNgMZaa0pLRkRDn1DnGKNs2vWmu7y+OT+7ubhcnZ4tzs+vV+sNoXVVbQunIXjf5Nizcw6QEaKoKIi1dHR08Nlnz+/du6sQuq71oc3pMCKLZNsmnJ1dvX93WhTlwwdP69quN+1ysd5umRk4YtupiRJC1/nArEjmN7/91Z3jfSKD4CN75r4jGPSwDzRUEJoyuSASrbGTyWSxWPzww08f3p55H2OMk0n14OH9zz57fnx8lLojA6i1RjV1eGbnnKINwV4tVqAEaISBrPn17379u999aUgO9/cMSdc+dY43q+vju4eqKftiU6NYgr6QJTV7YNbcAMNaGwK/fX96dbVumqZputTVspwWZBXJbTfhu+9/urhatk2MDJGBkIyxPrb1dKodN1u/XG2aLrombMuO0E0nRYy+7bYH88MQQlEWhqrN+kZCAAQRScE+Y1AYAMCQM85oqtwhKlxRVZUPeLVc/ulPX90styoG0UzqycFR/fTpY+uIISoH0WjHQiorWBxSldD33EolQsPgA2MQcLNpjDGpRed8PgfRqihFO9E0/IpSakwBUvVjCFFjFBFDNnX8tsNET0ScTuuqtgjaNaqC3ntC56wVhcKSKWxZ6sHejIhAI6ZoCWBdVpOy8o1TCKHr5WmG3sUoxiAzI8innzy+c7jXNquu27rCsLqipKo2ITRAHEKjqiJ9839hYI7Lxc352bUFrOsaIQjTpHZlYZWDMBIRIBCQs5Mu6IezxfffvTw9Pe9lkOqH95eL5fY3v/n1yb1j0cjMm017drr4/vsf2i4AELMSICEfHR1sNt1sNrl3946yhpDb16aabQsAMaoqh9Ch7UudklIhQoDUCSZFvmUUk0rdPQAAyCa81q3c+fiU83+ZuS+rRjWW0lC1VPODaMkkq02QkjmJdTlJI3e57+plvY9dG7bbFqEg44igLOs0R0CUZ9VUIaBo10av0rZ+tbzZbJrFYqGqLHJ5tXx/enV1uW5b6AIsFjeuqKaTKTnLKsIhRilLwxzqujw4PChLq9r6sBHtDMbnnz6+d/+OddC0nahPjZdTTMMax4Jt211dLn/5+c3Nantw8Pbp06cfzi7Wm45s6crSd7ELbARjRPDw9t1FlK8E4fd/+PLO4R5ZJ94zS8Llr1arq8tFCMHaYm9vbzKZlGVZ11NE3G7bH3746b//tz+en10nEEldl+9Pz7ZN+7vf/fbwaL8oqqbZNJomayIgmMJZV/mlnJ9fdl2IMQoWk2ltLbkCnzx+bJAR9PjuftscHh9Nnz558ODhvaJwAMBRRFkS/0rCl6eefH2qRRVv1tvT0/PLy8XF5bVCZJHf/f43rqrLogqBX716/cP3v2w3PrJGUQSXTEUypvUtqApoUdWt72op1tvOGWhvtmcf3ofoq6qaTqeTenr3zpGhjnkryohkyiLBPmMUGRotqqoiEMGknoLaxfXNt9+9evvmtPOigta4g4ODZ8/uP378WFW9b0U7kLAbcm2GDjiqPb0CAPV9dYfWYqJoU59vijEaJFOgtVTXdVFa0dg0bCw5VyAiey6KwofYtm1ZlkCkiilmISKkIIi+88ZiFGZQ5+x2u+y6llBFrCoSmtTsySLUla2r0vR4IzKmBOHZbGZtGj+ByZhK/eFSl1EistYAgMZQVQUhF5UjLKylrl0X5dRYRRWDxF3HjNZC23SEJkYOMb5/d3F9ebM33TOIZVH4AKC6N6/JVavV0hgwxlXlxBaz5c3Vh/eXH95fbbdeBKxzoLq8ObterNuO/6f/9E+zvWkMuG3i8qZ59eqs64IAoaBzDpRPT5ev35zdPTn8L//zv83ntSsrS7rdtlVVGOOY++neNAyVSb22UQkRTXIhcRhyMwi4HFYXETJ9Jld4J6SstZLgFiCqqc1DwjRAmvaaU1pDuH3UYVIUAQxZJIyRvfdkC0NWBELnN5tmu205qqFUHJcMn8LZyhVASCHAdr1ar9dN0y6vb04/nF9fXXnv2y6wSrNtu4AhKke7beN0tldWtS2rEKOEFgCMQefMvZO7Tx4+eP7syf7+VNhHbkRb360enNyZTMrom9jPB+1jds6VhOZm1Xx4f3l5sWq20Xew3fiffnl5eXlZ1NXT43sitN40i6vFtunKsup8GyK+fXeJ5tvZ3ny2N6+riqw3CGU1QTRXVx+++fanm5uVc25/f382m967d+/Zs2cG6c3r91//9fvXr95vtqFr2RhTT3i7Caru6PDk4OCwnswUxfsmcrRoXVk450KQ5XqzvFlvms7aAtEaY47vHty/dzKtnSEr3P32N7/6w28/i75TYALIndcB+wI9GSLO1joeRsBFgdVqc3Z+dXW9Wq5aY+ib736Z7B3tHd6rZ3SzXH37t58ur68VCVG9b6aTfVeUzNq2bQgBURGU0IJaBdM04Wy1/PnH71+8eNFum6qqjo+PHz16xF+Y+3cPY5Sr6w+zaZXGHTBz6mRtbd/yV9SIKGixvGm+/+H1n//0DYshoshaV9Xx3aMvP//s6OhAlUWYJRKIpR7/vGv8SIrW2EiiKl3bMTNZY6wRZgBlBgJUFmfIGuy8twYNqTHabFqOkdClAFeKCFuiajKNIhxjCHEyOdAo7BkkNb2KIn20bzKZdNvLqnQSvCWnYjovKVFYkFpH82kJfddBy4GLqjC2KMtChYhsjNEAWkuNtOfnpziUs7ME52Yp9cDSxRhV0bqSiESAmTmKLWbOlSE2hbXsAwdZLTdv35ydfjif1qvC2rt371SlAwl3jvaePXtMpmaJ1hWAru38xeXylxevN5u2bcLx3fuuLC7Oz1jxerH645//eu/eg2fFc+/jcrX96q8/dgFDtGRKEYitApi22yzW7XKzaX3z+z98+Yff/5pj55hDYAIktF5YgYyzSggM2+0W1KTEXG6ba8CUtmQJRJjiPWAsSwQEZimgh/YBACCIMKgiKhIwR0SDqXEAAHMka6G3lig37lCgKGIZEMkAWENANkYPQLaoVPtGWgkevF5vVDEEdtYZiyrQtbxet9ZSt9kuFldv3ry+vr7ebDbLq8Vq1aRWdiEEFkGkKGCLkpWNc8W0ZNUQWwRjiyoqcydV7R4/OfnHP/z6cH9+eDBT9iydqoB2dWG6ZgOiMQbpp6tZawoAQ1isbq5fvXz/8tW71c1WRD777PPZ/rzp2i60j57eu3t8/2az/eufvnnx+k2QYIvK+xgbWSzDi5fnd+7effzknpBBQqXq4nLxw8/vf3552jUeAFTfHxzuXS/X1WR+fHj87v3l69en603sPBo7VaXNRlHNh9PVq1cXJ/cf3Lu/N5lNeBUSHo1V2y62rWybdrHeNm0QNYV1tbV7dV07MiAk0aBK3IrG5KdEEQ4dEREIRxby2Pe2kxiis1Y4UFFYZ5o2dh0CVG2nIg7Arjbw/nTzeQsM8aef37x48W6z7oxxqjKZ1clbb5oOrWEfvW8LQ+8+fFitW1G8ujz/5ptvLs5P27adVnXb+svLl2/fXl5erP713/7xwb3jyaxc3Vwai4goLNYCIVqnVe2ETWiha+H07PzDu+uv//rzctkZKMghiJfY3T+58+TxQ0DhGFDVGmudtb2bDTlRPYCtzW4ODfWzHgRArS2IUDR14WJQLksHKEi7YQdt2wKm4bEIkZlZVEVAepCORh9UdTKZLDfXzhIRoaG+tTaoGea2M0PgaKJnju02FkXhjAURArRlYV0aloPGmCjKnMoTMca4bTYi4n2s6xIUy0md6tc+nJ5PXGmgB9w7Q6mrZwwhxZWYGdF0LW/W3dnp9c2yYe9ENsvFdrm8VAlPH9+fzvbu3burwKzqY9xutk3nz88ub1YbQmdcYagUpdaziOhN8823P+0f3XOuPD1bXF6tQuD9vTveh03TTSaTENgY6bpNuN4wx6Iuv/zyi9l0pqqh7VKLkD6KhMZY673EIDFK8vmHbU/lyiF5dT2Sk1lEE5QhGRcs/TwVVU2jkwYHUNOg6RC8AkFf4plTKzZFKvscDRpE8V0UTJ2UE0LHKIKIKJqqrOu6JvKAjoiE5c2bd3/+89eTqY3RX19cNttt02wTrPlm7bdrD0ocIyCJgCAoAgcW1bIqmq4VIDK2qgpLxgdyzkym1YOHJ3eO9+fTiowqiHWFsUpokYNwCIFjCCkZqqoMWloXoq5X7eJ6vbheeR+rqhKEO3ePnsdngHGxvNg/Onz06H7TNJeL6+XNuiDjigoANpvw889vp/OymhZ3juZEFMWcni3evL28WQUA5OAR+ep6effkxMfw6s27t+8/dEEDAwtZ51RMYW1g9R28enM+23/p6mf7B2VdT1M9CkZFSz7KcrXp2hAZVcEYY40B5tKgBY2+DX4rmnKmguCQtLJONLJq6uGhKqn3hkUSidaStSQA622zvNkoFoBOUVitRmg7ubkJ2yZcXC7IlJ1fWoppx8hA13UMSkRAhGA88+L65uWLN0Vpr6+v24ZvbvxquV7adlKVdV0vrrfffPvj4eHh/v7e0eEBIIeuZQlknGqs6yIlHJHsetV+983LN2/PLq7WN8smBcaZo0mkiFxWtnAREJT77jQ7/JSM+rGpakgRkTSYkEUBWAUAjGjqVmUHaVJXZfQdagHSD2tl7bsyxcgFGU7117siAxURQpxUlSqn0aHUT4h13hoDfZg27XtCFSP2tWwpQJIQRiEwxL7Tbl2XzpUKUUS2myZxYIxSVnY6nXedD8Hs7e2Fbat9M3hI4zDRoIa+lz4rKjofJERzfd22rTTbBRES4na9VuWuez3d2/+Xf/nn+d5UAVV0tWkurxdXi+tt26h0L1+8LupJ2zYCGqOE6H/86dWvfvsPe3P7/sPietlMJ7OmizEqGGp9REQGJFc0baNLvjxfn58tJ0/rsqi9b1VjjB4JgdOarWroFQnsvHUa1WRk+QJ9KAoBlPsuabtJEwnsl1KTggCgaaptP3tCQFXDAFwEEKJh5IcqGehh7uSCcIxChkmxLEGiAOowIR0Y0LjiZrn961ffKkTvWwMYYwyxSwLUe69Mqpz6OqVHBObSubKobVltfacoBl0iEmzQWjubzfb2ZkRABMzBGTIEoCwcJQbsm6kRa2RmJWuJmPX9u9NXr143rVfF4Hk6d9PptKqq558+qyfFZrM5ONg7PNp//vzZxfnVX7/5NkZfuIKImPn6+vrduw+ffv7k4GAPCNrOX14vLq+vfWDnnAASmWoyncxn6+327P3FzXrlykKBAEiAjC0AKMSw2Yazs8XhnXP62n/x5dPDgxkrqYJBZ01pDL59+/76esnMCIUl45xL+VbnnEQyxjhEY1GVVQygEFJ/bmgRUoMgQERblin34lzJLBfnV2/fvvddbv5hQ4ybdfPh7Nw6vF5uttsWALz3ZVnef/BgNt178+bDer1GMAiurKwCrzbd19/+ABLbdosARHYym8cYbVGX9Wy1Wobl9ofvfz65d1QWD6wt1UpsozXOulI4orM+ynq1+uH7d//xx6/OzxaB0VBlbGkIY1TAiKQxtpG3tXGBvWpQQBFjdehzDAMSPblLcZiFm0hfRLSfNpGwD1xWfYFFcj1ExFhU7RtoScpGsUDRR/gRMaEfE08lIVgUBWtMTdpUU1MI46whMIgGQKKAIMQYjSlvbm5ijOlWMUYWWa/XDsF7X1S4v7+PfZtgk9JkRVHHGJsmbret5xiZnS3NlFJfvRS19d4njFHKRQIAkSUsVIywUXHWGd92ZWWn88Ptdr1YLv/8l2+ms73PPnvuKicxrrfb12/e3ay3PgpH3/o4A6mqqtl2bePLSX212H791x/+4Q//WNWzGDSKQteJIgJECQatAnCE4BGBtk189+HywYN7aZ4Lo6pGIicokKY2Db3uUuFOjipybsyWAOuSms5IBiqlA+Bh9BMz9b32jCEkjpw6fBtnEIl6IRIBNJUQ9hpLMY0WYA0cFQxbV6gGSBhRVRGpptWjRw8Xi19a70GQmYlgudiIelVGQWNRBIOPaboPEXVdZ5GiyqyuJrMpkD158MiV08XNkm6uWQB0KO0CnUwmx8dHrjAhehVLwIZMjG2ILYKQQgL6Aylwqh1B61wMeHp+/vbdB2FTlZOmC3VdHxwclKWzrnj48L6qFvWkLIqjO/ufPH/89v270w9XXr0xlggLpa7zbRMAKHhZLtY3y23wyowAXBTV3ZODZ588Ojm5c3F1+ertqy6Ew+ND46rzs1XwUBQlABkofbO9udl+eH8l2pzcOzo6OCzLmjmkYxIBBJsS1ikcsr8/39vbKwoLIIAiHJQEOHs5FGMAQGOcKifeTJlNQqvACqRoIuvl9fXZxdW2DQwIZIgcKixW659/flFPivV62zRt07TOmPv37//6118i0mKxvllvOi8xSlVVVVUE365WaxBOEBaDVDjDsVkuV5tN4703Bn958e7ozo97s/LBwyNDBWIfKSZj1yvfef7xh9f//h/fnJ5eCROqYVXFEHz0oTUoe/uTg8NpPbGuAPEJB4uIYAcD6la7r6yiZagFS/qZzDBXSqS0qe+M5hEX1loJMcZhMrVqEmHpuyLat39GUWCRuNmsjDGgGiOLiDBwVI7q6tKgVdXAHoYRaU3bvXz5MoRQVJUxpm1bSqNBDAaOTnUymXQxpAFRqgiAoGSt7br1i19eHR5Vv/3N83snh3U9jdFzjN7HGGWz2YgIGEPWqEIUBUJyRRdiFGAl9uxseffkftds2y6ybt+8Pf///H//o5rM9w/3Ly/Ozs7Ofvj5l9Vmq6BAWJZFVM/gGFgROh8jw4uXr07uPbxZbURRVFmFLFoyomTQTKrJxdmlquu8nJ2vXr8+//zz9ujQGWdZWjWsQ8vtdExDS1zNR8MsXQiADCi2b94gyayQUY2o9o05FBF95B7Ki2DSKIhUaTEg20UEMCCFVC81SMOUCjQIYgwWReE5KhD0vSLVh5YITk6O33+4fPfmEjh2LYNJPeBJQYkopOBu4URQYhSNxiAZqo05PJofndw7OLzz+Mnzm3Wz+tt6b28vsq43bes7ZVHV+d7s/v2T/fmsrsu6Ljm0qiFyB8rWuTTFg0VUBVAI0VpyzrWN79qwXK58wLaNITAAKaorjGpEp9aYEBpjzGRWn9w/uX//5OryJu1GCNF74IgclQXbNrz/cPHh9KJpvQ+MUQ+O9p9+8uyTTx/XVXF2dbbarInsvQcnzz7Ze/HL+9evPoQOiqKYTCatLSP76+Xa1XJxdfPwIVtXImrXdV0MbeeJLKfZjMZMJpMnT548eHDPWAyhU2WiAWaSe+yFYG3f2xwQCa1SPnfDrKk9nu+i9zEGASRAMNYV1nKUD2fnVVVI5ARRPjm58+z5JycnJyGEh08eNp0/PVsIQ9cGay0Zg0SoqXxBVsubvb2D45N7p+8/bJuusE4FNuv23bvL5aq9Bw4oWldIAlAZy133t+9++ff//tfz85Xv2Hupq1nTbhL8BYDriTm6Mz84nBYOrGExKoCGQFPdTMrf0aicYqeBR92LRo6FqHKqxEwMEGNkNsYmf02tIxIHuXt3zzlqRzPREHGz2QQ1QHp9fb1c3tw9rKpqEkNHZPPMsmy4bjbt2emFCtR1LSJd1929d/fo6CiGrmuW1mpKJQAYhABARVF0DVd1wWJWq9W///sffbf613/7p3t37iKaKAGDxChdZAC0zhljvA8iPbIhVasAALM+f/70/t2Tr/76l/Vqy4Ixwtn59fc//PL555/+8svbr7/5arW8kRhtUUSRzrcHs6OydCrY+qAhCtquC19/893Z2VnqR84SxHMagXdy9wFRUVbbtvPMzOIurlYKVsAWZe3D5v/f1n8/S3IkaYKgEjNz9/Bgj7/kFCgGVNObnrsV2ZU7uT/75ERGbva2V3ZnpulUVVcVgMwEkORlPhbE3c1MVfcH84h8QE8IkBIZERnhRE1NyaffR3tKdXRghAh7pd9COfTv7g4AgO5QVPtweIdCIEQt0jVZhMg1de3GyXMDAOcZABDIWJlqrUa4nIi4UJXfYmZuWkQUM080DH2Zldts15Lh+Piw/etlqCb/W/pvV5drA4055ZyJQXOumspMDLIDXzfBU9XUdQi+aZrZrJ0tprPlweHRadXOP15drrarumk8EVFMSTSLiLD3dV1PJpNJHZBALZpmACUC1Yw7lVUDEUBCRCZEJMdV1QC5YejjIFrU3JgRIUsqq36IHRGFuprPp4dHS2bOCo5DTmNNUAyGXtbb+Onj9dXlKqUSrtpkMjk6OppMJkgCAIbaziZn986aZtpMZkOU7199KKqxk+lsvV6vVx254c3rH++fn56dH1oh+0YUkdvbdYxK6EKoq6paLueLWSsp9ps1WEKwQrwJAKJJclEY3VUSuYBYLSdFBHKFGxAMSADVIErpM4MRVqFRyzEOXTeISD9EImrbyXQ6aSY+ZDeZBLMx5TSzYRiI1HkigJh6ADi7f/b8yfPZbPZvwX/33esck6p6bj58+PTm9bvz85P5zJdWVUE1v39/8ac/fXt1dd11EcxPp9M4pKrmxWK+PJhPJqGp6fhovlxOsmy9EpIW1UZTdmK6T/ruGnqZw0I/qlbwjom1sPkVp+aZMyGAxtQTVCBjM9sRITuRLCI+hDFes89EEIhIBLGLGb2CXF/fvnr15vRwsmh9FVogTkOy3Y5dVdXNeri6ue66TlW9932XVPVgsTw8PLy9uQrBh0oBtHKVmTmX62qC2JX923GYTj3x8Oq7N4jy13/xl2dnp4RBBLabAYyBHJHLBgJG3gGDYXbVGDhLTGdnZweLZdu2fd+LJjCKg7x5/fb45Ozqen356QZMgZiIwKyZTX77l183zfT9u4t/+C//COwB8Xa16fpsJsB0u1lXlU85ardu29ny6HC96qeL5WozDKmLyd5/uLy6WS8WR01dAxAgGgASgZVRu1Hjs9RN+r4fr7lzakWJ8zPfSAFyIxShIyBiUERy7HzKlpK2k0CuWW+3MUYV6PseAJqm8b4qpUMbhxtczjaWCJCSAGUlIkOIcauqzruqwpvVbYq5npAP/tnzh5eXl9/8+fucRz3alBLzWAUPgerGLxaz+WLaNk1wbj6f123tK0cu+NDcblM/rHMe+h6dbwConIWKFQFNZlbNfR8lDQgGJgiqogh+zImQ995bVRHYuYBIBddhhqU8B0xgELxDtHmYEjlEcx7quiKGtI3sKmQS076Lm/U2Z40xD1nEyJCRARB87dt5S576YZs0+dovDheLo1nwk5tVJ5CHNAB2PoTZfO5DuLn5sO02Vze3q0137tjEyKNqXq1WfRcdhxIhlZEAAEMCYlBRM1E1BiQqA81kqaiB7YUkCo05ICECec+mWMjOY4z9ELNCFrM4CBKSZVOM1g/bHBMzhuDmi8l0Wm+3/Wa77vpNGa4UAAExVDBjtCRxOp385V//xaMHD1W177cfLy8+XXTOB0PadOnN9+9+8asXJ6f3BJJq1jsVJGaqai8ZnANmd//R/UePH9w7PZ3OakIFjCFQjENTV84VmzdGdDtIIe6TCP2sMUc/UxY0M+9cCaNSSmVs3+0U61VH6boYU8F0jUeGmM0IPmtD28jsFbkJOWqM8c3rH148PtU8OVxMHPtMWSSZlWpVQMwXH666mAqMSHQoLDbOkUMoatRd16nOiwVPJpPgbgcY68RgeHR4PPRXb9++/2f656r6G3Kcsl1d3Zghk0dkGQkPAqKp5boORGqQnWMA84GePHn0z//4D5ojh2CGMeftdkhJJu08xT5tbyUrMj979uzly5dtOz9YHv3Lv/w+R9Ws4iQE9L4etivJeStpvphNJrWq/vjj95KZyDdNowrdMPRD/nR5++jhIZBXQ8SR19WsqLONPog9A1hMpfvOzrksWQUUYdxjS1lVZVdlR9jhpBCcd0xYAdWvX/34z//8r33fh6q6uroOIZyfn8+ns77vb25u+r6v6/rg4MDM3r9/v9lsCsGGgh0eHpyenrLDrttMp5PDo2XxceTs+uoagL/6+hfLgwWCY+ZhGK6vb52j6axZLudVIB9oOp3UdQiOzYwJRBUdh6qJSuttl3M/xA7QIZXmJhX6JEQkciEExFhEk0xzztEze+/BnKrmHAEVGMdMxcz72lc1k09RFICZcs7Fy1dVqBs3DB37INmItapDVfmq8pu17tsXMcZu08cYt5suRWP2zgUz8QFms1ndhLoJan42m56eniwW0xBcO2kWi7adVuRp03WTZk7k5vN2s71JqYuDfh7ANk0xXV3d3N5uUtICUQYoM3FFKkJUBcGYCclUVdQQkclwp/24S3m10AGqauWq8gQICw08ERFDUsldxw7NjMxSFDBr28nDR+enZ0fOYzut68YRKRGklKJkZkSinKOY5BwfP/nFvfunzSTkrPNFWzdBLaeEjoIpXnz49OOP787OFmqZiNQEUNu2vX//LA7ZgNt2VlVN27bHZ8ePHz9czKaIklO/7W5VhoLVQwQzVAVCGOl4SmV6n5HRTiRWcVRY3ddfGclUAXi73ZZosw6u9s573mwyIhKDwZhFAsC+tsfMMUZ2yUwLOSQAxBgRWbJst/2PP3y4viJ6/OD83gn7KqlMqto5n5LGQd+9vei2kbkqwZ0aFkDw9fVl32+do5j6rtsQOVQqPOIEo4Z4ASWoeNVhvV6xQ3Ykau/evZNskqUOQSVniVUVVDM6MJZ2Wq9WKwK+XV0+f/pwOp2UUyslsBTl7du3m802hFolJWYROTs//fqrv1jMlm073dz2VWgkd4Acu8FxFWNERRBwgf7f/8//13Q62Ww2/5//73+qqrZupi547iOS227625uNKedkCCGmofIha+6HvpnMNGFKiZn7IRH56XSqqiLgvc/Sj5caWXf80cxOCz0uupy1VFidq4EcMlx+uvr7/+2/fPvdaxvVClBEvvn2h+mkZebtdktEMcbpdGo/IWYwM7v8dPv9D+/AJFS8WMxC9cXJ2Unf96gyxFVO1E7mv/jySc6yG3Ug5whQiMAzMCM75BEnr6BKpkBK5Bgcghgog/UxoYNq0pYKS/FWRQUaJDqinERFPDMBSsoGha7EzIQUvK/27WwiapomSR57muTIudIFRSZkGoauaVpT8J7b2ZTcyPNF5Iiw9BNMgQE9sabCmQWHy/lyPps2jUNom+rxw/vnp8dVVTVN4x2302a5XDL/YCZ9ijertev6mAvdgkPivosA2HcRzIthLEyNMEqOlxLwHQQJMoyMPXBnTtNg1CZCMnZY5qlCcKpiqElT32+HYUB2s9nER12ttqV8Y2Z93xuIY5wv2sVyOmnDdDrZbvvDxXTSNqv1LQCQgSce4sAMxKAIKQ0iKab+5ubm8vJj122RocCOsup2iMOQctaq9hlijnm7Xc0Xk7/7j3/z4MGDbd+fnpy37axpqroJiFDKbuIIMUgq42EqYgyMiCp3eF3uBk1jukuEO8cMO+3p4tREkkFRbRmJ2Xag2MLBbPtIqqieGXKhXiIiz857Vz5Z13XXx+Pj48Vi+v33P05b3603KaWHjx445xxBjNmHsF51N9ebvstEtSqI6nQ6QTQ1SXkwEzW5vb15+vie91W/HVCtpDDEkFI6ODi/f//s5PjL9eZTih0zttPGDWO7wLmKmUFyQRX7UFSI9/Mo+er64xC3Brlt65vrvpjGMAzv3n5QyyPLDzJSvn///tHxwXK5BEAf2HkyVSAj72OMxBj73gU/mzX37t1r22a1Wh0eHXz/5u0SCMHVdbi+WVdt+OMf//y3f/vruqmaeiqSbJQUhxij40lRRimFg7qugX4ytbef8kMcZcERWER85RHBsXeuZvJD0jdvfvjXf/3d99//2Pdxu90WeoaUM63oNqyapskpAUBVVev1pq7rAn323he2zKqp23ZSV14k1nV9eHgoIt5zzvns5BDIB1/HqFdXVwa0WCzNLA29c5QlShZmx+QdIxghkWUxEUD0DAaApg4hhBAH7fveMZkVPD3iKNMEZTDIOYcIZlLYQWMSVSUmZld4TkREnJqJcxzqyjnXdX1xnZNJW7LpOIybdM6ZictYDGKhwVIzcZ4mk8lsNlOTEtaVqzGZNGdnZ4+f3PeBAQXR2rZp26bUhpG0KZK2zbTfbtarjYp579WUyjh0H7MqAjG7oYOry9vNpgOAEAI7cs45YlXNWb0jRiYrZYBSpXJkYFoUw8oEghbWdSIyA4Uxstad3CQR1XUdapezdl2vqlZgeGZVFRbL2XRWO29IygxVHWaT5pI3caRdxcAuSso5zubTyWSSc764eP/q1avX377u+61zLAAx9Qbind2stkOfJm2N4AHy6va2qduqcuf3DnPWybRt6sZ5Uu3BLKacczLRsalCWOCQNEqlgNvD0PcOe2/0xY+qFsLqwu2N6B0AqEhhkygYFucZ0YihVDSgwBTw86yqgioAc+mOjzuzgXjvDej+/YeHy8mPr/9wsb3tNpvFYnF6ejqdtapZo+ZkXZf6PkkGCiXfhMViAagpDZvNWmw4buaao2oGqACAGZnJe3DOiQwxxtPT87N7U0lzohyCY0Ykq+sad0B8Va2COz4+ds554soVOVxTkdX1VYw9EVS1B1Sg0qvSGCMxIAKzR0QEfPLk0XI5b6dV38e6DlXlwRQ0Mzv2nFIiRwD61Ve/YWfNxLObzufTg4MFgAbPXVJEXK1WFxefVqtuuWi8rwBcTD0R7VhKqPQoS8ZdGH/EoBSA9pcfAJgYHIsKsWN2QM77QOjYha4bXn33+ne/+8MPP7zttoNzvmkm2+1254a4wNOcc2UKvWxRVVWNjFHMTdPcu3fvwYN72+5WLZ2fnx4dHW23K9HkfflIxeS2sE3Dquu646N2MqmHwZtA16uqMLFjRBVVMVEwQRPC4NkRV01TVT4QYh0qDnVOJa4hMMo5lxF3vGOxIgK253pEJkDAQp2630q993UdxpFPhMJCBTD3rhJJomqGki00jtCJSEqJkSQrMXoO09lk0tYxxvX69ubmpus6NPSO5tP25OgQTYZuK5qYkYhMDczIVZO2nk3a2WTary0rOhdyFkANVb267T68v3z0+Nx7iBlS0pwhJ01JVHLjauc4pXh9c1lX0AQiRFfYpYsqj4HICBaDsUAzhlqICIBquWi76si8nH1FVVUhVzc3q5xTzrnAHcDEB3dyeHCwmAePhEIoPqDzpKqSCqDXOQqqa0N/cngync5zztfX1xcXF9vtdjabOeqvr1eQNAGY1XHIqhZCiENnIM4Rkkge2mm10y7t+y6rRQIsTp8BPTN+LkOh7SSd9vp9nyOpfZtPd3Iad8U2AKCIrxFBuSXFssuTkakPYV/qooI9Q7TdqGrZA70fgT8lB6zr+t75g+/ffLfdxMvLmx9+eP/48f26rr2rt10aes2JEH1RQ2Ln2OEwdKvba9FUV/7Ll8+fPn1cNxUhjuI8pXSfIiJuNp1zzhTrumYyBXMueKfz5bLw7TJlImIHR0dHVVWxG+v3aCAyDicjGaIVWLb3XgWICAyG2A3DYGYHh4eHh8tQsUF0Dqra1XUg53YyRMjMcejni4UPWNeuqp1BPjicff/9j5Kz42qXlrNk67toOmrb8I4ImBkJoe8Lsw/ijrlxrAqrGKohjGrsDAzkHJui917VmqZRgdVq+9133/3+d3+4uro5PDycz+ebbZ9zns9nxU9Npm1hIvbsSv/34cP7Dx8+ZkbvfVV7x8FAmDkEJ7IUHQ4Pl8PQl5se6uLE+1KYSLlfra9F+6qeeoeXH69MhB167wNTNgXLpV7JiISGiFXwB4vFbDplZs9+Op9fflp3XVe5qrRiS8eTmVFTKSGX2XgzA0KHDnaTqohMxKAGqFXtD5aLqva0QlW9vb397rvXDx6eModsY3JK6Jg5J0lJTNE5pyMwzQB0u90MqXv37t379++HYQiu6vt+iN1Y7kiSc1QdAT0hOO+cJip7iaoF9qVUl6XnMqM6ctpJCPWwjutV13U9ETM57/3pycmTJ09Ojg5Nt323Cp4QEXAvVaOq6krmXGo1prtkUFVKvogIVrTRyk5T13VWKgDDIkGCZgDY1s3Z2cliOSVC1YRkZb8p3gCAQNFMVYCYC5ju5ubm1atXl5eXh4fL6XR+fXkTY+q2Uuo5799fvH9/cXA4Kd9R17WIpNw5R+SyqFou2tqRGIvjJWYkQ/usJKa7I3f7AVe7oxpQHvvVRTvm733OTI4NgZmLve5WEe/iMhuD8s+TsSPgp6yE+XxeVZVzsbxycfFxPq3v33sQh+7du7c/vvtoZoB4fnbGzJt1/PGH95t1jyP4ExDx9vY2xu3tzbWk/vT0+N69s4ODhYmSG2fVRBKAExFAq+s6pVRVy5yi5MxcpSg5W9/HQk4wDEOYBCKYTupp05TRRe9KnAV9iiklAApVUxKBwkgWJSOiqskwuNr/+te/XhwuQgVZel9NXOCq9nVdd30CYslKTM1kMp22v/rVL+rGI6W6oemkqjwOGdLQp4SOgyQpjYicMzlj5pRGDpPibQvOWG3PYm6ICFQkj8AKsJxo1D4a1bdJVfoumtmrV6/+8Ic/XN9ctW07mzXz+bxt2xJxrDZrMzs8PKzruvCEiMh6vT47P/UuFNZJ77mqmrIZqOYsaha67QrJDJUI0hAR0QRVjcAcIagQoCPuJQJq5dk55wmhbJeiYMpEhmBmKskDhBCapqnrOkOYte1mncyssKqWNUZEVagkpiRxNFrElBIZIoCCMbMVCnMyESG2pqkOj+Z18MwYY95ut69evXr5xRMfzuo2hNAgoio4Dn3Xx37Yb+xIVtW+nVaqOQ15vVmtViszE9M+5q7rRHNg8t6XIzQBUy1ZRV1Ppm3jnVMV9IYmBMpoVeXni+liMZtMarBiaQMiEzmJmZAmk8nBwUFd16paBGbH261akIxYYMnFBGAfasA+Mdov6uJWmLmuqraZ3q43pbhWnL5KJoLDwzLtXEvuFYwwtG3btg1oBlXJot6HEGbtPDSsCt/86c/b7hZAX7x49sXzF4vZcrVa/ef//PevvvsxJ+u7+O7txZvXb+8/ODk+qipfd3GtWYhIykiUmWZERM8MAIDlto1sf8yMaghQuCHNxO1qGT8BJexPsvy5ly1kZhxlLcjM1MZZ7X3LaVezHJsOalZQPGhGzN4FZlbBMgHjveeqymKbzQYRDw6OquBE7MOHt6/7bhiGzWq7PDzMCb7/4f1mPThXhWpiyIZ6fX3pHOXUt41/+PD+wcES0IahQ3AppQK1tqQcfIypyDoxc07U1NOmbvohrW6716+/L2zIkpMZh1ARKzsrodN+MxGxGDMzLpfLtx8ucswiVngairwZMLdt++jRo+VyGQIXrCOi1dXEhRUOAMaAZGqG0Pf9anVzfv9gNp9cX90iGhGkPIAZcTOZTPqtOhc+fLiYtnjvbDaZTNbrazNr2xkzD0l2fn9UoNlvPvuAf3/7JBsR1HUDAH2/+ebP36WU/vjHP69Wq7Ozey9fPi+NvOKnUko5x6xWVV4V6uDLWR8cTp0nh5Q0aR4iYOURmIa43W43VVVVVZVyZkYgyll3hee9jCWklPq+V5GUhiZUhQl7b1cjLNUEjGjHwVKmR51zwTdV5RfLWd8PsevLqW02GzNzzlkm1QwqO4obKFNZUt4thOhgjh2AVp4nk0npDpdfufjw6R/+2z8599tHT+9hNWqdm+Fmvd1uu5IxgWXmcHx8+PDhg6Pjgz4Ok8mknJeI8E58BXEkVoOxa+Sdc2ja9Zurq8u+71SSWcg5icQscdLOnz9/+vTZY0SLaahCU6Re+74HcIhWMm5fcnBLiLgTMSYAMVMAGWMdALvD2IOIMPpt1MLoV4Ip70tXZLPZjExtxWxUq6qaz9rZrCWGmJKCkXNNVTdNg6UYLQoavG+apvE1df3txYeLLP1s1hws5s+fPfXeh8qdnBy9ef1jQe/1fby6vL29WZ8cNo6D91XxISklJHDO5SxE5MfgBolKJjuOVXjifTnKzNyedmqfROzNa2/9sKOdZease+XxvbxK4eF1e6+/SyFHl0c7vLvbkWqHEOq6Bljv08Oqapq6Xc5ncchmcn158f79e0n54PCmrmar1SYl8aFl8oqQJMcY1XAxbye1Pzo6ANRh6ILz5cCqqiq6kn6HqmdmSUNVVWCu2+qHjx9//PHdu7cXCAVXYQx27+ykaYJaEkEfuHIc2PWaCP162znPHKqmabbaiSmaMnFWyTEj82TaVk3tqwCkhQyHyM2XB+6HG1NVDmZoKirDjLyrJuRCVpjOJr/45Revvvlhu/k4dOqZ+65Ho9Vq9U//9E+z6V/cO2tDcN777XbbdV3wTYw78Sv4rHBVvBUiQpH93U0UIFAItSne3Ny8ffv2d7/7Xd/3aRju3bv3xcsX9x+cz+fTzWbjawcAt7dbYnFoTFQFXwcKzvlQ+M774Bw5b6JJYk7bPCQRCQ4Asxo6R8PQMXOK0bkAhSNGkZAYnWa7vbmJJyfFxFRxbLmUuVNmAMySiKzwYZf/VHPOEWFQ1dqHWTvZqKXYlZWTJSFR4RQmMGYOnhExxsE5V+rHIKPEsKqSWQihrkNdV4DKjM5Xw9C/fv3m4HCGpOf3jqfzmfchJ9xsutVqxeQRIzJXVXV0dHh2djKfT1qbvn3/SRGyKWQNVVVATczojLyviISIEK0M2K9ur7758x/Wm2sicI4A1SAZxBg7QAnBOU/O1QAYYyQi77kflAmcIxqFZHxT+6Fj1ZzViMcJhB2pKpeotHST9ssWy4kLMI15MSGnKB8/Xt6uxvpmTglEwaD0DZjITAtHFIyD+q6pw5o3yUwkDbGLqbeb3A/rlDYu4PnpyenpMTvzAdtJNZvWdV3lNIho1w0XF1cXF5dPHp6EOoQgOWcQLayezIwFaKJGSGMoU5QBVBELbB4RQdVU7/B57sMovTPo+7OKVYwRGBGRCEIoMzdWwBsiUnaqfUQ2oqV0VOlRsCEPFgPzZHkwn06nqh/SZpsVTJ2IKAj78OjxA2L99jtaXV9dfLy8vNo4365ut0WOJOcsKCkNzOiZjo8P//LrX758/rCqTKVHjwZS9A5KolRwN6p6fXW7WJ4yu5jgzavX//CP//jmzduYsKkXAAkgNa179Ph8sWxFEhhUVahqR6wpx8lk2nUdR+62vXeBaChVqhgjMwuz5Thrp3VdE5UhdYdkIbjFYuG9L3qAVahiGohr70dhHnYelQ4P5n/3H/+2/0//x+tX71erVdvOVrfXE+8/fPiYUtoOPeiAZIA6DAMRpdSX5AgQEKvC7iJqIVQ5p5S7nMVEK3a1q7wPKdqnTx9fv379/v379XprJvfu3fvqq68ODw+JYLW6IcY0yKbrPKOgmiQCbio3DH3xhjklRIxDx8y7XrapqqERE5j0fSoy7jvsMpTsPufsuZpMJnUTdqywQOhSSgZSsJgAZFnM1HtPnopGHnIkcs4zqnRdN5dc4nIiEk3brRSZ1fKLWJjF84Dgc04i0rYtMyeRnLMHNsRuiMyhrtv5tJ3Pp0RUKNkQ8fZ2/Q//8E8fPrz7q7/+7fOXzyTjzfX67Y8Xl59uY0wFcBSCm84m88W0anyMiXkUl40xhkQjRg+I2QfP5kb+U5WUQOIg795fpCTOVTsqaQUAH9h7JraUIlMGcCXGUVUi9uVRBVeFkmL7wDmKFk5CNAAtuuk5FXEg2PVAcRdbKTOYlbEo551Dgpj6zSb1MTlGU4hSAg5XgDvMDIC7rAi9o6r2IjHnWICWwzDkHDX3wOYrd7CYvHj55PGje6HiZhJMcjtrfWBEVLOcdL3pbm/WSaRGb4pEzjQROlOTXEBOWuLuHeSFmJm49ChtV3YjLD//OfXdFaT2MRTsRvz2JXCwAuIgJgJLVVW3TV0Fx4yaRbOBjqeaNZsoAEs2IlMQQAXMZmk+nx/MF4F8NwghYZbb66vbzbqq2VfuwaMH6+36+mbVpS6u13FYDzGHUGdJMXbIoBbrtjo5WvzmVy9fPLs/mZDzto0iOTsKSApYsjkrLed3by+uLtdHxwfv1p9uLq/+8Ic/Xny4HjrnfOu4QbtViffv3fvyy4fzWT3EzWTSdikdHC6cR2KNqfvhzRsA6LqudBVy3pNOeERD9oeHx01Vo0HlK6QMJFUDR8fzqmZALT3mIfZE2DSNaPQBNHciKVT06PHZ3/zt1zfX6/cftrLeiIAKBj+ZzZYIDGOcSgaUs0ZRBQNNTGgijKxGQ78tMZzjuu9uVXUy4Zxlu9nc3Gy+/ea7i4uLy8vLtqmfv3j58ovnh4eHRQIDTEgw5+wYGMkhsWcw2W5W4+Cx4l6bqOs2ZT/zvig7ZQWpqhoIQJUQTQTNTKXyXiWjCqO0jXcIlePt6nY+nzORoBUcGgMDFNoaEhHyJCJqOHGcRNq6AQAQzSltt0NKiZ0LIQBkVS0kaFDAdCoqKVmKcbi5unrz5s2XX37pA5umLILON02lYqKpqvjho/u//8M3faeWcTFbrrrr7Wa4uLj6h//2z6Fuzs/uXV9t/+0P337/w4fNNiOSgXCw2aL2FSMJkjoC56nbRmCysTxCahCTrNdbMCzTqT44Vf70qRsiqiEzScaui3FQF8izm00nzoNBEiEmdhxEhNmLWghBFYY+7XIXVU1IokkRGQyhRBpUhDmzJ19G+Zg5pV5VC4qFnLMYS3vUOUrDMPTdMAxg1Mcy/MyIWFeTpmkLOqyIU5APaRjaSdVOK/oIksQopChmAjnVTXV4OP/6q1/89qvfBE/TScUM1cTP5s10Or256cgIEbfbbrXa9l2ezWsXfNI+CQCTx5KjFxAy7gmlTMa6dnG3paYNYAg4ziHv61P70Ml2wPR9ElEK6uQLw9Qgkr33zKPqN+3kWMuXlZ4EMhEUNS4Bg3Gkm9R7N5u2PrjtZiDCpMObN28mrUd6vpxNq+BPT8+uLm/7QYdhG1MUQV9XFbqUrsHyYt4+f/nkV7/84tGT0/nUE8acopnsoCUYgneM6zjU1RxbXt2uv/3mjff87v3bH16/2m4HyTxtF8jNer1OeTg4nL14+Wg2r31AMBfTAADz+bSuA0herW76TcfkJ5NJUzVFXjGlgvMmZo+EZf9zzgEUsKt5T0hSUrGyJTKz8wigIgKo7BDQGOny6t39e2cHh4s48NX1FhEVUMRi1sIbWxCGKq7QszhHZiIaHbGI5aQxZucpBALAEGrnCMldXFx8/+bdu3cfc5JhGObz+V/+9usnTx4RA4B6H1SzZFDNRMDEVDpGdxjHRFLJ0XinB7eLvrWggkd8lhXuvc+SdlYE0bwnAh/YBxZNm+2qnTaOayKyz52pwuBsOarEhFTUJJMZTaeTugqr7bBZb4cIzOyCX906Ii0FtV09TlOMzOi98971m+7t27evX78+v3caY6yKbFwGZkdgzaSat5Np2wz9NqVE5KbtYtvddNv48eL2337/bY6ck11frXMCSQIgVeOryh8czonBewbQuvYhuB0zbbXZdBcXn+rm/McfLj5+vFwuDpfzJbO7vtr8+MP7V68uum0Wgaau16s+pbzDymLTVESYxZgIjLqusx1QTsRub2/fvHnz6M3RpDlr2poiGIAx0YjLl91dgLFSxgyGKaUiT29mAjluB+JUhVlVVaoZwNjZ5uOKnAMjAEfEBOicq+t6dFpFxV6NCIg0xh5AAQMCI6oBVm375Om9r7/65fm9o/lsWlWMZGrZez4/P33+/OlqNaxvO0LKST9dXl9eXh+fzIoD0VJZKtUoBAAtfgmxpH13gAe7iVQAQED3Mye1z/X0zueKLxt39dIGpXH2ct8jtR1e2WyUBcBx5qgA001ADVBEmIAZzcQ5IkL2FDNcXHxSzTHml8+etm3rXDubH7r3V8NQtL9b70POWnluJs3jJ+e/+uUXX7x4VDWE2iMImbZ1VTWVqhFAwTrEGE27pmkdut///o+XVx+HoTNJdTXx7AFAUmfSEaTjw+N7Z8dt4xmVApmyMRwsF23bhhByijFGx1DA7USBKGcRx4FKwSVLkc8xUGIAEkB0nomIGRkQ1YCgeBtExEKbYJBzDs7fv3/uaPY//U//j//ff/ovOUHX9bhTfClRbWEskNELKDHkNJgyAPT9NqUJAHh2wXPBOhHa6ub2zZs3337zZrMZnHPn5+cvXjz78sVLJFutblQ5eA7eZYTCC1ycVwFGquYCTto7phJ08058vMBxcAc9AwDaqTsQkpqiAQIU6SrPrg6ViW7Xm7xMjJ9J8RHGEWsDcM6ZCRN5Q+ccCRSxeBHpuk7UMYVsOgwDMxQ225SAdpF+CKEQooWmyqoppe2md8GnJNWkiUMilizRzB0dH7bt5NPH1TAMfd+HJizmxz6QSPrTH199+ng7nS77fgBFAKgn9f0Hx8+f3T9YzhlBJRtoVfu2rmbtpNtmTfnTx5uh09Vtv14NV5drzdXqOvZ9//HjxatXr6+uBjDX1EFEJpOJcxHBOy8iab1ZqRzEfpjMmqGPwbPlNAwdYFUW1M3N7YcPFw8fLqZTx8xqKpC0zHyS7e4LO8eWxyjEoUPEvt9y8MEHNSR2TdMsFrNmUnlxKSMymZmmBGCuaYJzdRPqOpiVbgDknNW4Dq6dTg6PlqvbuFoJMzuilFJVu7OzsydPHi6XkzpQU/s+96pahcnxydHx8WHwjAaiEmO8vLz+ePHp2fNz5wCxwDsMYeShK7HhLm6CvSfZ+5z9iz8pQsFPH/saE9HPEQ1Fua+qwq4+bzsVpb0SbyljUYlPC4ntCIen7MgtlrPlfLpeDVa0KjXdXq2//eb1sO2n0+nJyYn3dVNPJV+ogveVc+7m5pNonE7nL18+++LFo+VykqUjRUBAgqLCGXME8O2kroKfNHWKNgxDVVXSpc3NtqqdEcWYmahUTJB0Pm2++u0XDx6czGeTIW5i7Jkq56o6+Nl0Utf1etWLWF25oqzNFCRvwRjBMXsAQJIhRgV1zpFLpetaVBj2U0euGuNbACiinuUyxm08PDi/vU2OLcvQ99uyxQGAxM/ayN57QnQITVMhWs4xRbu6+vTtt9/Wlc1mkxghZRmGYb1epdh/+nj1+vWbfoiIdHZ28vXXv7p//z5AXq83OUc1JCxaZ4hUZOeLhPooyAw7HsT97kW7kQPakV7ttqXRPMqGt/dc+4oBADRNU7xeAcfuOcsLXrF8E+46AKVggZYdo/febBiGwfkgIinFnHPOcHl5SfQs5+xHzAGXQ9of/NXV1XQ6nS3miJgKGVndqIr31dnZ0ZMnjz5e3PTDehiGatLM5weIltJwu7598/q991c5lfAQvMcvv3zx1VcvF8tpVTu1yOoA1HkslCEi1nXDZjPcXG01++1a+u2lJF2tVh8/fri+vgWowTjGnHM/my0MBtUcmGbzSQE4lenfoU9mmnIMIWQhRHTkc9bbVdcNYooAZFg2iVym1xCRkJAZxKqq8t4XJErfb7tuk9LQNFXbNuyqugqLxeLk5DgJXd+sy2EDEbpR2hrAmBTRmMksiiREC2FydHTw5NGji/er1epWVavgRWg2m907O10uZtNp5Z2xMyeqjnygOvgquJJY5JwBKA15u+1zVudGe0BEhKLSWEgcYR/Z6K4Uvn/sm5jubqy+f+9zkXL3gB3Is2jJFwDLcrk0k1C50qrYVfIAkc3y3UjNzMbyPRqAssPTs4PDo9nFp6ttF8sse875+tPt+mY7m82ur7aTyWS7jSLGyGmI69tVil2oaLFozs6WbctgPWFGSmAClsHAhMjUOVrMmllbXV2ufV0V1GlwHhQ1AyKlOJiDpqmag3axnLRTd36+XC5q76Dvo2lWI+TQVH7ShOCJHaIRE6mqYz+fL/s+rtdbETNPpZU5xC7GXiwHNLBcooTgnSvwQzWycd7dj4uqJFjoaldoDG9uP2lO3hEAes+mkJKoQgGUMjMC+OAo5ZxijEOM6eJ9n+It03B+7zj2XUy9ZhmGnh1uN/1ms5lO58vZ/Kvf/OLp4/uI2A8RUAwyIqXcAfriJogoZ7WiRbaLwxFBx0GV0gjWsk+ZAZErrmkfGd2Nx4upeO+Lkahq27Y4wtlLgIaAhefeEMcLaOPYpjGRijBz27ZPnz5+9/H3Medm4hGo8EMByPsPH9k7ZCMsN4UVTERTiiX2jDFut91sNr+8vBxSIqJhGMBkOmvqJvz6N1++e3dxdX07DF0ephotSspZQZ0Jr/uRkbmqeTZtHj8+Oz1b1g0bDIVe0TQt5tO3/ClqAnOxz//1//jHr377dYzx5rLruqHbDn3f90OfExJCThkAquBurj8yw3Q2efL0/O/+7usXLx96EiNOQzTVm9tPKQ3eO1EQMELqh/Tp483tzUbvH5ExQCprSs1AteAhyxUPIZQW32a7Xq1uSibY932oGucRUNu2WS7nHy9X5YZqGlwzm0ymfd8z42zWIgKxscM4RMkxpwGRZ7P25RfPv/vuw3ZrqsTkE3WL2ezk9CgEJzp0/ZAzFFiqQwDQpqnbSbN2G02o2VKUYUilKA5qBMbEI/OHYfG2NkLPC2BqxG8WrrH9w+2f/Q+zP/sZugqtDC4w8+Hh4cHBEYCGyuWcQ/CIcPdL9g1yM1XLYCNZLYISyunx8te/egGGf/72h5vrNZpp1j73CASGKWbn3DAMpsDMXb9Z3VzXkzp4Oj6aHR/NmYRJUVOMA5KiSkoSrVeh4F3b1icnBykaWHW77tbrtWkuKtje+9msbafNw4f3Hj08P793VE9w0rLmfrMVBmjrOicLDlwTpk0NmKtAGcFMNCfvfc3+JjRr6MuQkIKVyoWBiA5jQcdhafeO4SsV0QQjAu8dOxTNZt67suLVMzZNAMzOQ9/FFBWUC7xoR5BQgCPlEiqSEWGWdHn58U9/gouPP6BBluiI2rY9v3c6my5CqNq2/eUXX95/cM8HNwydmQBkMyEmx1RIQsqXM3OJgfeavfuweg/x/Zz732FS3G9vdy2n/JlSKtJnpe3dNI2ZMbsy+WFmpWQ5xgWla5xL312cc3XN9+7daybfydaqyoNx1w2GYEiF7qr2ZeQL1TRnZU+IOJlMnj59+sMPP7Ztu15tCV2MXds2oGKAfbdxrn325OHf/M1fvvruTdfb7e1t8I1ztOm2wzAgkiOMOQLowcH8N199cXJyWNVOdJDYYe2apjk9Ofirv/x62h78/f//H0RARF6//mGz6QFgu4lmUOa3iQjMFc7trl+njFXtvacHD4//l//5/356vnBk2+3aQKoQ6josl/OmqW433Q50CCnmT5c3nz7e5ISe2ZQVaRfYouSSOlNdNab0/fc/AsB2u0bE45MjRd0RoCoAVHVoJ/W3r77vhy0iAnHBpqeUqqqatm2ByDGWYcCcs3g/eG7NTDTlFNUclLEUVFBF0hw7sAGRnK/RjNCmk3o5n7ZtU3IrQkgp55wdMYHsDMoARwNDIySCHVUU2j7Q+UwHWKzL3U3x9nZ2N4D6iSECcIEgAEzqMEpUhbFdvbfs/XMzIxj51HfOy1JKon1V1y+/eERE/dCZpG6QFCOocnBZUj8YRkQD7zjHJClN2ub4ZDFr/XLeeNbgjcmGnCrvRJIhptTHGBG8p9BOwsOHx2enp5cft7//w5/Q+sUsMLOrnPf+9Ozk9PT40eOz48NZVVOo0Hk1HQyUiQmN0EyzZ3dysrh3fkSAFx+uY+omkwkSDEO33W5Lsaqs4VCFk/OT+XJaVQEwmqoJIlqh3w6OJZNpRlPHVAUXHBMYmppJFnEuADITMOHQdY6DmYhkzYYKDITkzbZFhdsRzqf1rK1u8zpLRrDV7XXOm8qHEELdTk5PT794/mIymaaYm6aZzad1HXLOIikOHaFNmmrnZWyUW1ZkRBtxrSpihUOYcOQL0920011PNGaFagSjUGNJVwvJtGUhA1RjwMDOs3NIojJOvhUr3Y+AIKBBykkURUQhuRCQsAquqepuiGamIoplwjab2XbTLdq5KDjnUIWQxLQINywWixiTcyHGDKBt3RQESdY4DEMzAYDq/N7xo8f3f/j+49DBdruuqkaTgoDzTi2D2sHB9PmzR3/xF79aLidgqdve1oHQBE2ODmbT+kAy/Os//X697mO2Un1TQ0RH6CbNFFBTigBgmgFsNq19oMWi/eLLZ3/1179dzpvgoO82PhAiOwRmOj0+ms/aq9uUcxmqRQAahnR9tem6yFNnBmCEJRyXXQJuzjRc3t7+99//SVWryj9//rydzc3UQGzXaqgqf3p6fPz+8u2Pl8yDD1XlvEPyxKZaaiNqGbFi5sp7ZlcgJlXlp9MJEWkSE2DCftut1jdoh5oTO3AIllMGiUAuzGfzZtZWYEK4J+61AisnGtujoKVhyThy0hJDGbAe31WTzz0WACj1qX1lYZ8D3omJPjupsgGOjR72iDIMEUAb15TmYrkiP80xwQoEEbiE+iCapRcbQiWz6fTRw+O+f3l2cvzh4vrd248x27Yf+mEbIzCR4wAmMcUq0JMnT3779a/u3T903hATCplltCTZskRE9Oy4IiTnHVbBfvWL52Lu3fcfY1p/+uCByTkKdbVYLJ4+fXz/wZkPWAV03kQHyckkcWBUQMDKO0IAyEdHi7/4+levDz449+r6auMdd9vbbpskDcGFUs0tkgyL5byqPaI5crkQXZO1zWQymQTve82So0IO4JgteOc8EYJpRgNHkEHZgXNQN67bxjp4E9WdPAwRlaK7SJpOJw8e3Lu63Ji9TUOczprDw/nR8QEBTiYT793Dhw+Pjo5yziWEIYIYiwQbFtHN4mJyTqUuXk6hjA4jYkzxZ5FReasU9Xch9udSAN6ZWv/ZXlX8Gu8YFouzU9Ui0VyMTs3UBAzUVLP5gmhJyXltQtW2TXGnfbcRpcpxXdcprYZhUFXnnCjWTatxKNVfA40SvffHx8fMfrXeppQmk5oLel801JXkmFPOsfvll8+3m+EaupySOi6s+SJJNLeNf/n8yRe/fHpytKi8rVc3Ma0rP1U1SZEIq4AE8vzZgzfff1hdb7ohDkMXQk0AMXWMNKSYYt801eLoaLGYLQ/ar77+clJ70cFzdiySh7opaJ7Udd1sFg4Pl7/+9a9e//C/ioglA3YIlJJcfLr84e3FL794qBYMlMgTEVOZowoqeH19++H9zdsfL/t+u1jMnj37Yuhl0gbn6qwpxpxSCuwePXqUhYeI2+73V5e3OecS65kZIwQmEwWAynkyqBGbZtIN1jbVcjELHlPKolpVjggqV1j7sjMDBANwzGbmEIJzVeCyl4hJFrfdbm9vr+u6JSIjEpHClkVYZloEEcc5aiwDyZ+R5Hs/4u6G9/uofm+UuINT7WpPn0f8dt6NyYAAREtMOk4Fmo2NPzfutWBGCGhUbNxMo+QueH3y+PTs5Gi9TZefVm/fffjh/Yerq5v1eg2aRQQkV97NpvWzp/cfPjg6Pl5WDfgAYNFAVZKKcYGHEQCaGjDqbFohhJRBT6fIT2N/P1SVD05E2tm8rqu6MefBkSBI8fmOkcduqRIYWBaR89PD+Xw5my3I8Opy8/HiZrNe3dxuAZCIHLGkzEiV8916A2rOuRR7wuAIQMkhNnUITBEgOEPnDpezunKeTVIcVMAUmU1yHSaeMHgz6QlMRQFZc9YsYGyqdagKnwmh/fIXX7bN8uLDpzgMde3u3T9p24nb0SdUVeUIzQcRM9Fckm4ARKuqSlVVBcCCc+NNH5n/xySu9qMqh4gAlrCLzCzUNe4m74seh4qBaJIUQrDPETMWDYhSAEAzx8TkRSTFzMyARWG2kLtSId4AACSuKidqBKgmACqaZu3k5GhxebuNsfdhwjtMYGH+zlm8C13swCzGhIgGNk75EatqcN6zG03RoEwsxpyGQY+O5wcHXyPyv/zTHz98uIz9rRF7V/VdV9X88uXT3/72y8XhJHhgsuCRMKikNADkFOoJIp0cz//6r37TNM1//+ffG6BKir0AbG3MWXTWuum0efL47Ne/+eV0Vp3fO1SJ19cfc16vbrdHRweVdylHAiPHprmu/Nn5yWIxG9J6vRpIFYDU9PWrH6Zt9fD8ZD6dVFVDMO5bqtr3sN32Fxerf/mXP71/f8OMm+2n//3v/88nTx/+9d9+nWP03qlGVa1rJxnvnZ/iX4ZPlytTUgUCZCRHgIgFqcvAw5CzJB+CqnrvmKmpXHDYoTJ5Jl3MmsVyxo4W1azvbgkwx2QMvqnZlYbEJjjoNz0Am/hX337zxz8cEj06v3e4uokppTrUqpZycs4xIAKWSuhohzsK5gKyLQ5nxHkWV7V/r5QVyvZ4F0W13x5L2YhIyngK7MqxNqIQsOyvRCRZEFF3+SYhAQMDKgJC9N5mMzdtm2Wmk8ODs/PD+5dnm3X3449vf3zzfc7ZlJzj50/vvXzx4N75UVWzaC85IohqlJRLx21spReHSFjmoRBsNuPJ9AQUs6axzuKc98BOELKKFl4Lx+gKRYuaohFkIGRX+inVfD59cO9eTm8/vP+U46CScrJALmdPRISBaJztyil573LMBig5pwQg2SA3dRkdkoPl5IsXT06OD6oACOZcgwQAMMSNaWRSsASgJuioVhnKGpOczXYrELFtm2fPnpyfn0vKoaLptDEQh6NIN1HJoQYc1z+QFbjNTwqR+9jnbvSrqlKuye6tfQw1UkHSWB8REZXPkfnP65i7/ZB2Q4j7Xg8x2zjhs4viYT++PpbJiqiiZzdtq7Pz4+++fz+YmeaUjQAndVMYuArPUkrZ7VCBWLSDoMxUFOEIM1BEJEAhyzma4qSpmkldhfa3f/GLyof/+t/+6dPFJTHm3J+eL37x8sXJvcNHD06q1rWNU8rBIRqaipmKUsJu2jSPHpwfH+TJpDlYTl999+b9+49IVPnaEIaun0ybZ0+f3H/4oPKBOL548TTnHhTmj06ur6+9Z0Lru61ICiGUReSYTo4Wv/7lF/lf/yRJuj55X8WYb242b17/8Odvvn/08HTWTuo6EPucZbPq3r29uLy8/e7bN9988812uwVQH+jq0++vr68PjpZHR4t2Wpe7h2h1XW0226ryjx89eP3dD8OQmmpCaFnydn273Wxqr/fPDkMIaTvklCTp8vBoNq0vLt7WjUvJ5Zwm9eT07Gja1m1dESWEBjAz7tBQOXmHxCa5RxBi2nbrm9v+u1ffPnl2Ajs1tpzHjlzR9SpeyXZYqH2EbjsytdFP7WsNdwvn+3Ip7trSZassmcI+1CoD4rjrVYMomBWfOKpe7FBtWOi6C8qGwSFlEwD1jglRA9WVaybLw6NZ1/fHR+3Rsi6jp0T01W++fPrkfjsJ/bDJufOeHIEx245fpQiVjzwNppIGQ1EDU805O6LgHVGZrhJmQDQwUctmNlIqAScVMlAAk6QCzKwMnsPRweGwjm/e/Ogd1o3rBopJHDGaEjESEAAoEDCh69ZrsDSfzzA4EDg9OTxYTlerjeZ+ebT88osnL148ahsHJKYqpRNUUdtMHj04f/zw7OP7j7c3GyJazNu2aZo6eOaulyxZFXJKZOrZMbFjgyyoBprBJJdxv8TjUL3lskGlQcoQHABQabrST4ikzYywtGCK+tvYLUbkvRns96r9pleSLGIEHC3nZ/VNKkiUXWt5H2iX2oRR+c5kO27+HUgYRISJUxqYm6apXr548urNuz//+QcDnbSLm5uo2jNOhz5t1l2YV95VZFk1E2Ghgd99mzKjGYAg8MgGoyNXL6W4ZaSjw9nXX38hOvz5j98QeyK3PFz84otny6P5bFYhi+ReIKGpYyyELWiQY4q0rep2Pq9DdT6pnSM5OzkYcppUE/JOYpofzJ8/fbI4XMSu32xWm9XHflgT6mw2Ozs9GoYhx8QETJzTAEDBVUxQef9Xf/kbI/zTH199880PprGuuOvs3bsP/+t//vuvvv7VYjatm7BYLIKvLy8u/+t//Yd3bz9eX69zzinlGHtiJcyr9fabP393evrXIYSR2iGEygcAOzyYV54kdQgIkmO/XS5ns+nk9ury7PjR2OMvRHOe+36Llh/cP7u93kjKOUNd43IxmU4CMeSUwSwnIVBAAzXvHKEs5nXTsKmaAjtoJoEICJRLcQapdG8cEqiMQgzFPMBo13/DO50ZxDs4z33SV/K+/Sd+Wm0aDXHP8F/yv31DytBMPzOsQ9kbx93ZELDgAVUNWTRJiV+AQDKqopkFx1jB00enD84PYkzdZisiZyfHzuVt13X9JjBx8CJSKGWIzBSLZgTi5xRGLQfnlMBAAKQKTGQxC2oyJcdMTIqkqiVvLdVjK9mcCphlUMgKCHWYHR0vzk+P8hA3XT46tNv18OnjrVpp+GVEr1lyjg5bVzcpg1pmpOl08utfvoxd/O///b8PEY4P2/Ozw6ODmfMyxLWo5pwcsYmGik/PDh88PPvmm+9Us2e3XEyms8DOssSUBtWCTUcDTWkgrJumMu+ypJQGQEVgVUBTRCuAgd3dlCI9o6ogWpwT/BQTJyq726ola9s7l70N7MOoOyk/jRHQndBsP5MAdyb470boZSwd7s4/0Ofn5X9QE5CchhCqaVvXAavAV1e3qtDU4fb6VrIOQ1qvt4tp1TTNsF0V96qqjhg/f/l4igS434lRIVvMSVWlaaY+wIvnD4KHqmrqumbnFvNqNvVMCdAkR9HEVFoEiOgMhIm6brPZbOqqrZv2/v3j+aJNQ1pvNwVtAmaTabOYzZBhWk+nU0q5c6xggpC77VpVDUwkFa0pgBFnWzfu2Pu/+otfHsxnzPjNn78XVSJKKX/76ocYs/fcts1ysUBym9X21asfNuvOkwu+YnI5a87bSRO8r4ZhKDQhm80KQGMcvPfTtrq66pjytK26TrvtihFn0/pwOXtw/2wyabbrVZZBVXOfGcl7mzT+b//mKzL8459fXV5etlP3+OH56elRHDY5RgLzxGZkojHGwiU5bevptCEiyThpw+PH91+8fDKbzYrpEXExG7QSvN+Jvne8df8+PB8rnXuLhB2bHeyyvLsbL3xmkICR9YhGwUvVMkbDGXNOoqrsyHsu1Y39Lm1F2FdAR7orABMzAwVJksUmkwkR5FQk1dy8PaiqyjNq7sGkqVxwTEgFVVo6VADF1yEYMHKRz8k55UK0GgLsIjsqwEIENINRSF7NTMwY2EqJd1cLpsLarbJZXzt2L54/XMymMYGY+7d/e/Xx46VKVlXneLk4Ws5nDCg5ptx5BgYjENX+5GTxN3/zm6qy3/3uX588uff40Zl3GGMXhw7RQE00b2WjClVoH9w/+eo3Lz9+vMoxPXv24N7ZcXAY4wZNDRTMgvOVdynlmHrHnouiGgIi56ygaCAAiKpoYlrcLhEgqIHomAHtPNR+f9ptX0iGd/FQdzeq3d0fGRr2L97NIu3OA3aMHLBryIzPaZ+gWbn9ONIqIgCKGhRmK4RhGIDi4XL68sWTb1/96DyJpGFIzDxr25zFOY9Iwdcy9FiZmSA5zYaFF84UEIuKHwI7ZMkqYlwAPGya++06Db0Gh08f35tMJkSkCKBZtZOMwACaEazQOIEAEuWcOARHsI39VrNaInTzeZsjLZYTzwHINItYVulTTDkKgBJbUwcCbUI1sjaaFiWVsVqsIpYRAcEO5pU+PjUQM/3jv30nOZWw4O37T2ZCRIFdNiUrhCXg2UWRpqltu3YhVE148Oj+8+dPicg0t5M655zTsF1DVbezWfXVr7949c2r716/jSLL5eze2fEvfvn88ZP7kjvQqDkRGBCu1ysiZHZg8T/8h7+ctM2f/vRvR0cHp6fLOGzWq5ucU+V9VdU5x7FokGLbBM3bg2VDACnmw+Xsl1++ePns6WzWikiMEYAcjlqwxKiiRIUxwXZoMNjvo3vr+oxLuDP1AvvuzN1HMbUi0DTa2GcXJgD6E9U4tP1fx3+ICKjwGVRlhAhUUlNFQiRxoKCxCt4joguBQ84Z0VSL2h0ToIEUEYtyVCKpuOeR0HqHk2YuprBbdahMvvK8P01VRbNyRKTGnos/G4spCKUBJhJFNUZxnh88PA2+HaJdXl7OWrfeppxtNm+eP3347NmjxXyqGgOTQU55qGtEQWRqJtxO/dnZwcMHpweH0yF2Q79NOXnPImoqRJSG3nt/fu+4af7q6tP19fX1syePTk4OiEX6jGgOINt4m5iJye+GvERUAMy5yhQBAMnIQHUMh0t/dhcB3Y01PkNw73qivW/6mZMqfIq0I/P52e61f74PpfcZoo6kt7IP0GxHGWxmqmLwuddcdkERJYc5Z8pDaGa/+PLFN9/8+C//+u319UYVJPe3N+sUpdBGAxh5h6Jl4lJsHHkr3aQCDUPE0kQq4zUpJSQTkb4fAJzzrp1OSp0IEYeYEXOMqSjl4b5fDmhmReQ1BO+9yzkbptV6te1u28nCOTfEIec8XlpUx6V8SgYFSobb7TaEahzHQy2zuACYIGUVM5st5pT05Hjq/cMY49u3bwFgGESlSPFxTqpFEY+JvfPkS5+k6zokm8/nZ6fL58+fv3j5RDR1XSrEuYgmmjbrm8PDkyo0Dx+c//GPf3Y++ABPnz18cP9U8hAqB5ZFEiJOKt8z9MN2Pp+bxtni8MXzB3UFi4O589oPmxgH+ixFjCH4nFU1h0CHRwdffz3947999/Hj5eHh/OUXTw+PDohzjLHcI1M1E6QS5eznjT8/eFQmp735jVxixVh1ZPz6PImquxnj/bumxU/Z3owLamsX80txkwSuMOjv67BUtFzNRjUaNTByxGWIojiFEq+hCYIxECNklSwSKgeWzEDVynV0zAZkJmUaR0VNTWlk5SuUQ7gLIxGR0CGSZCvxR0Gswk7MAxEJDB2JjJNBYJAtM7Naatua0LptRCJfqQv+5RePrq6vv/vu++0m3js7fPb04fnZcVPDELuUI7MRgolIFpXMZI8eni1noQqwuvnkKr+nxyJA74OREWPsO+fq5aKtgpsvJpNJME0x96bZUBF5pLwwdS4QhpxVUiYa7xYiKSjqDiGHpqq4o+kYhZNopKxSVec+y8qWUlR5i5AB9/sYqH1G5e0v5n5j21vL3ajqbiy2/1f/Y/c3+iwsM7Qi4pjLZSdmJE+ARXj5xfOnTb383//Pf754/9F7vry8fP/+/WzCq3nVtj4OK4M8mzSli4Nq42SSKqAyOkRSV5QdHAAMIt6z9xSCT72VqaycEzsCACYtzVpVpTLwBkiEJbhG8zlFSYk9GQgjewaznIaNZi5l36ryzCyiEnPwPufonTM1NCBEEwU1IMgxIUKonAHF1Iux977vVuxdVVeT7A8Op+enh+upxEGvrzZEFGN0LrB3IgLEQCQgkhMRV1X16PH9J0/vPbh3/PTp/aryXd/Foa/rQACV8wCUNMV+5UL71W++ePPmDUKYz6fPnz0GECRhhM12g1hAJLmuAzOT6eHRwjTdu39yenaIJN12pZIXsxYRQVE1l3HOUrWsK/7VL77M4qqqef36zePHjxaLWeELSympKqEzEyx4btOx/1umRnA39LKjVBvDjqI3U/yUc67UyHWnEbCPg+4MoGpWIRzHgkqqWXB9pTZ2N1T79ya7t9d9IeyuByxRUlU1qqrOVHPKwA5LkT6lARE9MXPYJxfFw5QQAxFLvWn/zWaIKrA7+HGPG+EXRSTm8/5fMESIyIBMnEuZDaWtK5EcHFrjUkx9v26a2cMHR9vti9XtFUI6PJwsZjWjiWRTBTX2REhgRsSEGNhN75+u5vUwDEgQHBVhqzKfXGp6DJgkgQB5JZBJ7SUPXZ8Qy+AbIWFgJiRAEBG1YScUYiVe4ZK2agGOjzk7Ijr2KaWU0/6VgofadwDL9kV3xvf2N+VueLX/ACK6HaZhf6n3t/jOh+Vz3HqnLVO2GRrjnRHnVzYGEWFCTdkIQYtgdwQNkrqHD85TxElwzlHqeqncH373p4t3b86OZ2dnixTXk7b65RcvGSlqBtGSX+4Mu2iwIOK4PxdFEzUFwFA5QkQS0UEiAKhznLOwQ5VsUobJmYhQLec85Oy9TymCGWCZKBRmr5bQDAnALIsBOkIEtJQG51xKkbmgZMeoMw+5yBqpmKF6751izFEVvFXEMKmrB/fP/u7v/mq1Sn2Xvv32jXfNxcVF13XZlBDrpkoxkul0Pqmq6sWLZw/vnz17/mgxb3wAtT44v+rXJswhqGZTnExqImLU5y+e/C//83+8vd2GEJoGm9p5ZrVU+SClA8MYYz+bzRjRJTCHknvnnIg6RwzovRexgkdhhyJiACKp79PR8cFmk7748tnh4fLe/TNCSykhZM1SliAiOsdFGnzkNbCfNJdxhyvYWbi6ve3aDoVwd9ctFjbEPoSQJRMTolOAUPmUUo5xh9kriEEr1Fw6MoF8HrUvCeDnwkTORDTKuBMaMhEZelUFMVArTCnFhp0jAB1H5FXMLHCRHUQi1iwOnaIxc1JhRk0CAJaFiJjYADSL9z6p7KMG4ILNV6Q7FwgUAYhRVcmMCA1NcjRDE6uDa4JPYkxah/Do/uH6149fv6bHD5f37x/WFa9WGwQMPuAonoJF/4NQCbmpAoERWBoiMXriGNUxq2YA1KyOmcAkDloEf1UByxgzOxrDDxvrjkagiCgqYEqjdxYmMjTVvA9XmNlUHBOCt+Lt9vmdEcGYCaqMFU2CUgAv63yXyuVdDFWiUFWxzMyeXWFEGHegMW4lgPE498FXyRlLMJ9zduwASEXAkPebFhp5UhNVNTFEVBuIfey708PDbWer61XbOAcKzt1+vImb25uDye1Vdf/+/62eTZfzSfAlWQAgKtVPQI9sRUmdRh5HVTXvnaqCIRMZmFpE46LotV8OKirZnIOCJayqSc7ZFEJwAOB9GAGqpp7DWOPbWb4fgftjsW9XhSg+HQGMER263TaBoFauPwMSB2YfhyyWjpeL5W9//eHicr3eHi5qIndzc3RxcdENCXeFmnk7PT87mU4nxycH52dHPpDqNmczk8p7mi5Us2QTzYgYY3QOVNB7+/qrl2/fvmXmEDT1K3NONecYyZewIDrvU45JLMZcvK2kWPg/CDEN2cxGDLD0RMTsJWcBSOmWqTo9OTg5XgLAdrVS1ODIIQGDSmYkJhQpq43GmYSC9d2x3e0Vj8pzt68gwI5CpNjWflaedijm8nrZhXNOqgI7VNS+ZmF3Pvnvg/+fhf13P4C74ue+TbT3rHCnfLtHRdz1qnC3/rb/fvvc+8u7gwQAzwQ/PcL9kZcXCdBGAooChGNAADYwQLLgCFFN42TCz589PDqczedzhLTd9CqpqjyDIAIqGiKoAqgg7tAbZmaiCZCdc1gDAAyDjKSFu8i35CxlNnB/RrRvh+yiGDP9TDxwp4z9+WqP0Yru6Vn2dwp3rK37UMh2Ywp3eVz3t2DfC8Y7Zaz9u3fvLNwJpfHOY3/975wU73AkBgC2xxU7KlqeaFqSPiZoKp5N67bxCGpiRJiGvF6vZy1UVfXo/tF8PvGOhmEgx2Y2Ysf2N7mQyZuZjsazR1rsrowRYSFY29t/+cwowb3btkv8TkSIrCo5f54521d17xpVWWa80zoxM8SiV3w3w+BxozSzLNGMgABRck/Ey3lV13SwmBC7lGQYHkm2mJMkZeZZO2vbSaiI2DzL0N/2QzeCNrFGAwIuY7mAhmQilrQ30KqqTk6Xfd8XhU3NYxmxZE1mZpSVUVI22zN8iCqqZEPHPIpEAObRzdxZViIJQLFAvxk8e4BdRbv0sHQ0JCZnn9OanzR57trzZzz63rD+vU8pRa596G5mUMAk/JMy+b93VeUG3/UIezu4+0PjK2ZoVrrUZEA2Ti7uD3f0P5+rKiU3GUONn63SEjuU0ya4s4z5My7x7onvs56fudqcM7MfJWaKmqNqSkNVhUePH5z0R13X9cPaOTepqegQAOjYZ1CzkWwfickhqZbBIxlRTqPpl0hzHGoph13CyeK8iWB0YwB2t3d2t7tfVhd+RhuMxaWf4lDunvh+gd11/fsLtW847FP+u//w7pO7B3PXBu46rP3X3q0n/MQWd9/JzLaLu23EjA2AgQicA89Agc0gxQQoJ6cHq9VN09w/PFquVqusggZYIDCIAHfYisrxjwKTnx93HdbdQhvukoyyesfayg5Nhjud8P0l3W+Kd+3TbOQOLIXzvbe621QdV9iu9QEmloWcI8QcOyLXVN55qn0QK7LkUwCIORFgVTWSAUAdYUzb7dClHHOOdR0YEXapdwGJoIEJ5NQXI9xu1yGEYRjQYCxiAjCXwaaxk8ZSFsXOS6gpZBEh9xnPdNdpfP5TTURQPydq+whjf4nK9RwRnvbZS/zMxgAA0JzshGTuVhNsNzlxd1vY773/w+Pb75n/frX/zPftH3cdnO4e6H7eOIc7cdP4Sfzs4CQLEQHhvlwyYuF3hYCfHfb+C3EUmBgNdO9P934ZxoVdToEQgUdQfylsCYAASM4DANQNV8HFGHe0pQhQZt/EjAA0Z9t5IkOkXSihpR27u857w92Vh+5ElHfvcWGY2x/kHj4ypl3jxR8joD3Q5O4I1P6O/+zu/Aw6d/dO3b1x8FPvsz+S/b/dr3/Y7XA/8034M4e7W/CIO6CCGZiJJJSEyAQSvAsVRbAYU6jo+HB6dHSwXt2sVjfLg2mMMaXk2d05ws8HjLtLtz/Qu6a4C5E+v1g8C+4spKwFZsYiOoA/cUz/3rBx9yDi/es/c80/8+NlAdnYDFVCyhqzZjRFhJiEmQnNyBjInIBYypmwLtpWqpnYKua6qavgwQxhrEbTDqmfczZD7wN7KjOSRFTUz0C1NLvMzNTKihjjRAYRU02wq2nuO6FlCgWRS82taBEgYlH6IhvxwCKyz3xhtwntr/z+xX/vT/bX5/Mc8s9MrZzheGvx843En6IWVHcjMbtmM9r4n5giIu6kxahM38H49yImePfOjfd7JwyBCLT3YqYEWDpxjECMMqKBCKn8ZKkul8APAcDQrExBmRmo7Wzr7kqDnW/FPYxlLMT8ZK8DQwYGHkeNAMeSWb9dx9gHB8RgMqSsBloqOMVPwVg3FURAUwRDoKIfBVjUuvmuyY6rGoAQCx0HEu4W7N4vlxhnxHaXz9AOLqD4mfx3v8buLoa7b5WNocQF+9PXn+JR9p+/azc/uV93Vubd9Wk/zS7tTqr17w+mxFD7i7DzBQho7IjIvMPlYnbv3tmH95+ur9dgsfLuP/zd3/z2ty9PT+bTSVDNzvFk0uSYf3ZJCQDvBInFeew/4MrAU85ott+3AFHNylt4B+/CiADGTOWcAcDvOhKIxERlY8f9AK0VEBuVTqJJLmP6rqjugYGVkmEpyhcqCUACUDHT4DirmQzoOKfetPAaIgAziYhKEoUMANmESEtHChW3m9uqqvd8KUxsIDZGG2wmoFgU4Z1zprnvtp4YERkJWAuipNBbon2GGZaF6RAc0hi3AqAKENiINxq3peKnUFFVS4Z0Z4HD3ThAQQxGtN3OX++3Md2jL13ZV0twWxLpu12/8nX7cONuoHR3AdzdLXftJFNRRLSf7lT7eI3ujGXAnce+1PWzx97ieacqXh7jvGEZTiym4z2O7eTR4+x3sFJ+uPv9n233pyvz82Os8wDb3msjopXeR+lREhGAiUQAIPQ7P16CpvG2hLCTkyMqUyPFhe9/cb/s7/75k/W228D3F//uhmx3gse7965EAfuqU7mPo9DGnWnz/c/dRfbuv/yuk/qJzd35692z2FfE7r6+v/V3D7gcDBHpznjNDEf8MJbsHTQDQNs2985OXh3MY8zMdricnZ+fHiyWs1kbvA6D2A7kZbvM62cnsv/pu36T7oiY3L0a5Yrts429z92f+N6iyotEd/e2z35/t7n/j4u2d0Lp8QAQjICyCCKGEByomDKCMeWc9KfNU0JMefDeg2hBUAMoMetoDFAQJ1poVxmdc45DIfhnZpEyGc7ee4fEzI6QMQCAInAxznJNyOjzhEu5YoKEKlZKIjsj2Z9pQXWMEws/W1Y/uxRlv4TPufPId3bX3v4vIsEuDbnHsekAAAAASUVORK5CYII="
4 0 0 m l = 4 0 0 c m ^ { 3 }
"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"
\mathcal { W } ( X ) = m _ { 1 } m _ { 2 } m _ { 3 } \sum _ { a > b } \mathcal { P } ( X _ { a } - X _ { b } )
"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"
\begin{array} { r l } { c _ { k } \sqrt { n } ( c _ { k } \sqrt { n } } & { - p + k ) p - ( k - 1 ) k ( k p n + 2 ( c _ { k } \sqrt { n } - p + k ) n ) } \\ & { = - c _ { k } \sqrt { n } p ^ { 2 } + ( ( c _ { k } ^ { 2 } - k ( k - 1 ) ( k - 2 ) ) n + k c _ { k } \sqrt { n } ) p - 2 k ( k - 1 ) ( c _ { k } \sqrt { n } + k ) n } \\ & { = \left ( \frac { ( ( c _ { k } ^ { 2 } - k ( k - 1 ) ( k - 2 ) ) \sqrt { n } + k c _ { k } ) ^ { 2 } } { 4 c _ { k } } - 2 k ( k - 1 ) ( c _ { k } \sqrt { n } + k ) \sqrt { n } \right ) \sqrt { n } } \\ & { > 0 . } \end{array}
"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"
\tau = H _ { 0 } ^ { - 1 } \mathrm { e } ^ { - H _ { 0 } t }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA40lEQVR4nOXTUW3DQAwG4L9TCZiCKZhCCqEUUggZhBXCAuECIQchByGGEEP49zCpufWq9rma3yx/Ouv0ywfieX28mL8jyCh104BJMO6dXe+BF/MeXiLDMyCa78BkwAhcXE8RV8AmAMcKhEAF2hlgEYD6DkbHWST+fiDkBk72FRftx7MXR3YPLx6SOwAgyQWJnGcOG+saSBIkSbWVG8lUz+dtB4vIwsf1C7iZPgGJZMJMcv1+CIxkwkqSXQOOQJFPjZwUKKFtnBXul6FdUWWRxdA1D9Sgi9yuqMKS0eCNOPyPw/kBMHkHCLHtuJUAAAAASUVORK5CYII="
\mathcal { S } _ { d } ^ { ( \mathrm { i m ) } }
"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"
V ^ { ( 1 ) } = - \frac 1 2 T r ~ l o g ~ G ^ { a b } ,
"iVBORw0KGgoAAAANSUhEUgAAAGAAAAAgCAAAAADIqyKIAAAB8klEQVR4nN2W3XWjMBCFP+3ZBpQS2BK0Jcgl4BKUEuQS4hKgBG8JogQoAUpAJSgPlgDzs4E4ecl94IiRRhfNnRkhAt+LX9+8/88k6KrL6bKxvLv8EUKIl3M5MVbnFyGE+Hv1ay7hEYUCQIdVFBJlXWElqDraeg25tTYDeVu6zAnamzWbBDd4u2+qQLZpqO4jAxQfEoQQgt4g6CVqHGLi4qwf/SLrBGsiqw0BKk8Xwyw1lABNhZZxPgf/b+50JIs68E0cZ4kUKj+xVc8Q5BKZNu4ih4fu+j+nIwRZ7epI4CswcH+kE3hALrxWxLSbaTrIrZLGoch0EtmQsmyCwwStc85KtFuySpD93Pr7QIgAKK9AZky2mLl6MM+HqHXOFYblEWoYymSCz2kQnAT7YJkU91cQBAc8dB4Dsl5Z+FmCkEG2Y//VVrELGrpmeHstUfVqizlA4E9ick1IxgrjtSR3GayV9f4QWWCMggGipq1Cvg2LZl4HCPJxyzDV4CbRyd7LeabuCFF3PpVw7+JDeVUdWAB/PlO4aO9OXu8IkX5MEJ2+XI25X6cL5yZB6QgFzOtvSeBygHxcKJNbr0AXdeidIXHZjz54bpicMOlgGW7FImViZtth8gEL8cSOX8eqGXuYbxqPllu36hJ7CJ7Cj/x1/Fq8A/tCddS3JCI/AAAAAElFTkSuQmCC"
1 . 3 2
"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"
P e _ { f } = 3 / 1 0
"iVBORw0KGgoAAAANSUhEUgAAAaAAAABACAAAAAB5bvyzAAAHbElEQVR4nO1c3ZHrLBI931eTABsCNwRuCDgETdW+7RMOAYUgB7BbJYUghSCFIEIQIYgQeh+QZf1bnpHnsls6Va4ZN6ihOdA0je2/CCdCxt9/ugMntnESFDhOggLHSVDgOAkKHCdBgeMkKHCcBAWOk6DAcRIUOE6CAsdJUOA4CQocJ0GB4+NPd2ADxgGQb9LN+HHKrAUg2HEKBwh5BV3id2nOPovslzlSY3E5VN0DIa8gx961fK4E4LM5Sh/nqI7SNcUxK8jYQ9T8FBgMgP+NPh+xgrKKo8jFannhEN2YMOo9Xvp1cAJcpn+ote+ZfwBBTx2GSdxFqcBm7FUkP9TS98w/gCAGI544jJgrVwiGzII5qyrYpA+ilmRvh7vyBPan2tsw/7n1dAhaptcL65SlSUpERFwTCU0kk0fxkoyIiCC/0aOy+6shtZayHglzVRJ1XToGGuVa0bb5q9Z3OIigaHssFZHWRESoiVD6V5N7mwayJh2a+Q2CWlV3/9VoyA8BETVeXPq52XxZ/RwbBK2YX/vmh6Iyr2fPfoWgUvfwtLeRJtoyt841JyIqQVR3r1S1pWjHMhLDWf11glrZ9yZlRNSybn624khWBtgkaMn8kuuJqI3qVkXTZz8AdwOQAIUB2xXZ2Bs0AFhjEXGgqJTEjam1+q6KhI+ZjITfsATstWVSZHooAyBQVdE0IHTGrioHgBiAGrrwm+jfWV7BZqozjKlrOX06swAgR2cuV5lZLxaQRTsis0XzIX0PhyNS5Ygus8eJqISfV1HU7psuHN1EL7ne4TBqWSrvYpQm0oqoZsl/BBFpOZLVLWt1nt413VdQqdn2WmrAm/H7x1upSs0GdrHZTG85kjIXYlCpjv7F2NzdzNDKe6WtPWjJ/JqknomWtgoQUdONt9pYpSOk4PcebsQGDzQLiktBRDqaCrUY9K3vrRz1W8+tGHdD80FRPo5g5MyJeO33QSAiavk/dVvKHdO1uXO/5eKWzKeOoDH0fIn8DcDgsdx2QQnbpcnYrsMEX1AsrAOqSUHFEvuFpInB2B0ZPipiye2RKBNz/ZUAwOB6wU38O2Ey39Eyj247Ku0cVxvzHNlE6AmaaDDVHSuqEmRupWgvWHktYjnZWoxCcr29rPo+w+6oer5MjMxBic+HJW56YvNPF4h6ScEZkH1eTPxrOl4d4ji+/gYAvlLhKQprJ+lV86sqLr9nOx8RRd6t1P3il8PSRUjs8m3fw24Xp0F92Eo083iTulOHk6KmNmVpr6L1VVJoQkTUpDO/k0si6gKzZkXtQfiAjyIwdAwrgQ4AdC5Nv+CI5oHJMyTrAVRmAWPjvidGADByMR9oxtcVM6s6WBQFWM17Fd3M5mCoGVxcPNZ5XNQMgKs+edTpm+QjpkOVFau2rGBs/QcA6xe3fSG5b0cBua22ws0d4eoE+7OKl4oAmGgxH8j2tWx8Vm5BhYAAmBi6XOcYAGVvuMk1xkfgL5s/sZ6o7DzCI8586uJaNjxQttG8Xqq2jsCpTpR8GsbucHFIiKhG2qDuPB3RwMUttDP3RUwREdFDRefiyq6m0tTqcSambqj2in7CxQlmAeAme+qSZ9v0+FQ6nmMeqtraPdUvkVSvpCrXOsQ54K5CYfkCYbGdyXvrvN2POwjGRtGlUeaWVKOFULhUCAPsvTq/7Fpsk3pFlnLgA2Bp/FveFzqA507JZX1dBwZYAXcz8oULFptzBVvtC0CrqsJVLOYS8qtBwX1A/LhAkH18ZHOubDFqZjKixQ1VdtfdqVAWQJYhVgqAwWfEp+FmDCck+u3hHbBVodE5sabccWx+YHCaVCURibSOmrQm6ZES+STTKrpCsZ1PXsvFjaK4uvSeeZgP7A+qvp1RMwsH1Tt6FS0bJCZKJPOTcf8I33FQJZLUlM3SeXUiHrejG/pasrTp0yWN5ERESPkssN0kKPE9ETWVen1qvJIsHV0g9Kke386oGbY6KQYq6kEWIeFUY6WTu1I9RCSp5DJBMktY38VdhD8y2DP3lQu7m7v587O1SAFUcJEBcP/kBH/qln1i1FkeC37IPXj1iQxAF4Jx1flgK6bNZFNntahC5FXvumwEoS5KLRlV5Xt7L7nTkO6qRexyn94FIL0YqK7RLCfjh/ErBIn7ZiOACIDh2tyM6AmSTwlKAQCG36qD7p3l+NcEkk9/OkmnzbhsNYEzUsEeW0sKIE2Xn3llA2LQMPeEdbcpci/eGrKvEDSdg/0cG4x2USB+lrCvWPKPaTbuGLA8Vn3jg2bcNf25a/UFiBbIJF76OOaG53w3ZE4pT9Zzxt+68s6Xmil33qe8jud7EPeb3zhh3Yt9bnvB4D9J0DN8i6AfxjOCOjQ6pXYpTFklKORPlv7/wfwWrLAL22BhmVneEE6CfgL3BIFY+2WkKBrVGyDkD8+fwElQ8AjZxTFXve37QYfC2tVs7rfxV8C/F/fOL3Adind+gStkgk7g3IOCx0lQ4DgJChwnQYHjJChwnAQFjpOgwHESFDhOggLHSVDgOAkKHCdBgeMkKHCcBAWO/wLFcwIC2PhD/wAAAABJRU5ErkJggg=="
\begin{array} { r } { U = - \sum _ { k = 1 } ^ { 2 } \frac { \mathcal { G } m _ { 0 } m _ { k } } { r _ { k } } \left [ 1 + J _ { 2 } \left ( \frac { R } { r _ { k } } \right ) ^ { 2 } P _ { 2 } ( \mathbf { \hat { r } } _ { k } \cdot \mathbf { s } ) \right ] - \frac { \mathcal { G } m _ { 1 } m _ { 2 } } { | \mathbf { r } _ { 2 } - \mathbf { r } _ { 1 } | } ~ , } \end{array}
"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"
n ( \tau ) = \frac { N _ { p } } { 2 } \frac { L _ { \mathrm { e s c } } } { c \tau ^ { 2 } } ~ .
"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"
5 2 / c
"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"
N _ { k } ^ { 0 } < N _ { l } ^ { 0 }
"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"
\begin{array} { r } { \hat { \psi } ( t , z ) = \frac { 1 } { 2 \pi \textbf { i } } \int _ { \gamma - \textbf { i } \infin } ^ { \gamma + \textbf { i } \infin } d s \exp { ( s t ) } \sum _ { i = 1 } ^ { 6 } \exp { ( \lambda _ { i } ( s ) z ) } \Bigg [ \frac { 1 } { | \mathscr { D } ( s ) | } \sum _ { j = 1 } ^ { 6 } A d j ( \mathscr { D } ( s ) ) _ { i j } \mathscr { R } _ { j } ( s ) + \mathscr { E } _ { i } ( s ) I _ { i } ( s , z ) \Bigg ] } \end{array}
"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"
< 0 . 4
"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"
\frac { 4 4 4 } { 2 2 1 } > \frac { 4 4 } { 2 1 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA6UlEQVR4nO2SW1HFMBRF92UwEAuxEAtBQiwECUFCr4ReCSChkdBISCWkEhYfbe6TAb4Zzk/OY8157MkBfW9PP9T/JnB6laR1lV7KnuLaZtuA2VSopgFwC/gBIFmAGC/AlCZolUkNIAWgBwJw3ij4RnIAo/FhAjQCPEtaBy+9BaNiJK1W3jlJrlwvOcyAEkDbeuM9wH7mybjzqcWaBx2yoiRthWwfhCo5SrlPXfZmq+vAcrQfRVnyiyQVHfM2qi8ZUnRShKoKyM4A7+aiA8AE4BNQt0RMX0hdbbt3bwHG1L0wb+/h/9v/DvgElNIQkMJTeCUAAAAASUVORK5CYII="
z ( t )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAv0lEQVR4nNWTWxHDIBBFD50aiAUsYAELsRALWKiWVkIioUhIJCQSth8NISmPzPSjM71/LIfdOxdQQl2Xk/1fANf9YvDLDfzDozsTivKWc60BrIwWgGatSwBW3N2b48ENkKcBMGhnAUwCyAhAJyJ9Z92cAgJg5VMR6AH6BIg5TIC2laAmoK0l6QGTAtFDA4yJhWhy3seXM1masAHDGbAAugb4AqDCPSog94BDh1KDA5DzuAHT1x1CkoWgRdQ/fL0XGWvsuQSDfHQAAAAASUVORK5CYII="
r
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA2ElEQVR4nO2TUW3DMBRFT8fgUTAFU3AheBAyCC6EFEIotBASCBmEBsIzhLuPJlIcddv/tPv39I71jnTlk/g5b7/s/xwwfZyvlfvl80BoTbH+kTu34GqyAYVRGhkY9RJwoqQZK4e9Voc7GahY+UZyIgGV3p7zcpSMSFLmaTinLnStA0gaV9xtkDM0gJmkmE2SNOBSCo1krlN97wL1eoElGsTWYTbsph6K1seF5oTcJekhSUppB2xdmAEEAOK+jldtWl1gSYeydnHr5XZrHZoMpLiVcvr/FwB8AViqIJiu9mi4AAAAAElFTkSuQmCC"
\alpha _ { 0 }
"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"
- 2 1 \%
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABhElEQVR4nOWUS3XEMAxF78wpAVMwBVNwIQyFFEIoTCGEwhSCAyGBkEBwILwunI+d8WkX3bSn2lm6enIkORfxtV2/if8X4KU4Le8j9m4KnzILFsA8cl8GxBbAALdYA4IFmim2pQh5ug+SNDW5yAa0W1iSggd/BuweTsgZmHSyzXH5BQuTzWL+GJcejLPO28O93bpzed7Rk/Ur+rcZMDcDzP0C+M5mCi2A3QYQ74Z9HkhSA9BkXYoOoNuAdj8d1gA8EtCd83cNM0koGsDGE6ABwEskse4c34swAZjneJJw4l67gSTJAQzXHsDXpuABPhLgaoAFGMuBFBYgvQKwVSAC6z7YZ/09+ecb9cUlU6eu9foASwI8QF8DRgDHAHCvlbgBRshzvNSiDQZoRWrY09NMe2SiSBtXGacFHhLrdoVzfEtDiTCnnQubLN4Pig5ccY1goJE671f1tvz7tWC6tc5afvDHg+wsNHEFL+DSXMcFBNC/gk0TmOfa0ELh+vk+/Ia/3J8APgETX5/Mh187mQAAAABJRU5ErkJggg=="
\hat { \Omega }
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAEvElEQVR4nO1a65mjIBQ9s982QEpgSmBLICW4JTglkBJMCU4JWgKWoCVoCVjC3R9Gg3BNzHtmvzm/DCLeA/dxwLwRvjd+vdqAW/FD4NX4IfBqnCbQlU8y43qcJlA2TzLjevyOWrqyF1oN15/pk825AhQgBwDI3BG5FHV4+8vhLajE/XsvVN8AIhGfvWxfMKUXIiCUIXVE9eA64usvQLQCf1EAAPqy6VQqnz2dlyMk8CdXrzHkWoRpNPlm9kcr8O3wn0uJ+6PfvW+2m/ddf6pTudn7P7d/9gdFUO02kTZgc5PL2sckvUJIS0RWimKxT50Cxm/QAKC0lghuEBHxBCSSGy3lUUA4IiJyEjlzvzUmlRAcgQGR/cS6UNVBXOgaq9B/IBsGFjl2XdyhK5s+bRcTobZZ1BaLOQAV8JBsuuvlqA617PZ51EHz0iWVfQMpNWcUS6ABNNd+I/pPb9hk/2nWFnphlu/xLgT5CBFRwvNMCdxlt8QRqB6zAHPPlEB1j0E5F7o4BJoeakXUV5jnhkcQ6LrDwBUg1rHo92UHIEmDVftrwuej4tXdw1HnWdW/I1aldqcASAFAz3YPDi7oaQHY2asssdBhHTBEeaq14fr/iulYIB1MWINtI3PXujZFtfUFwD65YykpN402pt9umUOGmJMBWyV5mGmyagUk06zX8RjxCmT8mNEKKDUom4zZIzIENLBeCUnvVQYYJU4GFXWNCcTCYDQgIOCmOyI0jSEAyDNWH1EL39MLAajMWiO57fTVBIpprByRSIsJjCGwCmZugxtLpmSOA64m4I2PyDviQnZRFVDJ7KfIXKalTPJlQTbrvvo93gOf86a4kF0khJKwQZgTuiXE5YpRVwgSEbcCrBAqd7vtllHAQPWxeXvb7sMyxcnl2WuuRJhJGU9lQ8BowW/fxhkXgd9G+WJeuiwWk908Bmrh/dKRxZFNy1UghWZbkebWZhJQfuTmcSqTIQH+PQEBDRyPaHUkEKJBpipQhFJAcrnB4lBkKBMQx8rkwgUhotleNwc7HzEB6ROQ0VMRgbEKuHCBW1a76GPBqhWQtOO1CPkT5b5hZrEQxytw9GlET4UE6vFhE0ZCzi1569N0BhCmJipS1g+d8KYvmULAZUHfOQHfkDoOnNAoe3h1G8UgGwLZnKad8hcbRwaTRHVinFcnw/I6J+DPkYlLHEPAEpFTvgXO0kIImPB4ZzgbTnih7I5jmPGAhWyUC9XcTDNJoRqxxIrcQiIjcsqb2UJJLQ0fAhzs8leFWqA4XExiqYaXWay1WQpAmNxO44xitBZQUWRFBGopTCq9dJIiI6JULWa9S1ArmJZaIzyxZISc1nHwPzV44uSyBmlui/DAboEAucLkHk81hL1bznqXoUgVZLJ+w0FERK3REJo97zw3rWa0mw2BL4Azp9Pd/qDXuu4xRy034wyB/Sg4H3VWdDPOECihB9HefFH7z/1Xoh81e/WY497bcYbAuOkYQuDjGRZdiNME9LjtqwCN7i5ngXfGmRjQw3lgs4MGymgD+RVwOsvW0ERkpYEiJx/04ewmsB84jlD2Y6sqUSjsd9XqDxLPxPkP3U0vJYCue8hHj5vx86X+1fgh8Gr8EHg1vj2Bf5B8SLlEyPCOAAAAAElFTkSuQmCC"
\tilde { t } _ { d } \approx 0 . 1 5
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAhklEQVR4nGP8z4AfMBGQH1VAroLVFfdwK7h3loHhbOceNC3/EcBF8Mx/F6X/qADZBGMG17P3ytEMYESO7vedq9+nvb937y6SGAuyakElhvcM986+x+WGmUoMM5VmorkBWYGx4G5MRyIrOHPm//9yBjQjkN1gzMDAYJxmjMcX2MBgjO6hqQAAaFeJgt+MGZ4AAAAASUVORK5CYII="
_ *
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA7UlEQVR4nM2SwVEEIRBF/1omMIZAChhCGwKGQApOCGMITAgaAoQAIZACG8L3sMBgMerFw/bpV/Oqu383F+L3ePjj/d+B/TlMBI/IAsAUfosBcAvsh2DxPwAWNpP0gu0UcDZX5U0egMsdLOqxqxREA7impOWswv6+vKy4rq9J7U9pIPoWSUEUT7JAzXvYHClQ8ZZEnABdSOCtJuFngPStXxxP2IaMQIC56QA5cQEkqCb07GIYrYwzDuf2WOpdoYdrHi1CK/wJA6R1aiHVZAYyaZvRA2jmPTRZepcODFuwpPET4GCqsmoT1wvfw5f7ApWkkGe43xVvAAAAAElFTkSuQmCC"
\hat { n }
"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"
\chi _ { \gamma } ^ { ( 1 ) }
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAABK0lEQVR4nO3V0ZGDIBSF4d+dbcAWaMEWaIEWaMEWbIEtwZRAC7ZASrCFsw+YCIrJ685OeGLkG+89MGInXo+vN+sf8PfBvevuL8GNwWxTNYdh2mZtsECSFC/ByCBFyyUwTGHI9ZtggR7AXoDVAWBju8k09gB+aadIHgCfHg9qEPMybn9UgmgBzAShBcIAYIJmWM8gGAA7S/JlhQzW3HjOpb6sIE65ZnrV4JDL48/AF131zI03uPgMU1cQ0miKDuXqCjlFzmiCpJW6wmMfgt1IwKgFHvvcG8YLIC3HgzyCxlkfgeS2444XIEEMVeoDmDCqUh/BsGWI9knqJmE7UkVH47uYyl1K/gyGepfSeAApf7L1KO+Hn/1S2EcJbrjzVfK9T+/GNED3+eP8I/AL39sO711OVDEAAAAASUVORK5CYII="
\nless
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAuklEQVR4nO1TURXCMAy88TAQC7MQC7XQSSgSamFI6CQwCUxCKwEsICF8MNLsbYx/HvlK0nu5y7VtBPtx+HL+I4DjorqfJ8+YqD8l7YmJSL2IiCRf2xYQKM8Z0xYg4KKjvHaryHEIXgvGWkOLm+Ypa6qABJatUIoCt2/UJ4BSYJaQnQM4rjWw8aa6YDQwprffCzIFRAWM1gXjQ8T1JaJFNhT1NnvqvKNHQe7shMY++7GAHS23bP7/AgDwBKSD+BkVpMQbAAAAAElFTkSuQmCC"
G
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA+klEQVR4nN2TwXHDIBBFnzNpgBa2BVogJagFtYBLSEqQSrBLkEqAEqwSoITNQSBkaca+ZrIXluHB/r87XJTX8fHm/E8Any29RidxuR0JreFJW67Jh5I1YMeqGh4nwPG95QGrJ+BhGzHRnwFNHX2qeja22cx38eNXBsgLzOPBRbCT6oBV1aEzONc/lwhmWpUOqqoizVypb9YLNzpVTU1j1fCTewAMGYjIcRZ37K67825XgMUVK1hgOQM1Ih0QxRyHhVtXcaqa6m7fqAjAmAcgYpmvzy+s/oOEtdGu94c+BMFPvgtlEjJtJS71X8yzuOI+R9c0Xv7Fx3kL/ALht0gjfoVnHQAAAABJRU5ErkJggg=="
\delta t
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAm0lEQVR4nO2SQRHCMBBFX3GwSIiFIAEkFAlFQiqBSqiFIiFIKBKw0Ej4HHpgmQlw48Q//n3zdieTRnzO5sv8D1SBYXfc9nA6uE4unc3KjBPds/NA4iyJNthSBRYzSQKSqkBazUbwa92RVyJAYXw53MnIkjJRbwxrLhilbohkKQMa71VDS6H0cc9wC/WH6kIKaZmw2ZXN/9P+CngAQwnHE1ckFhkAAAAASUVORK5CYII="
\alpha
"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"
h ( \vec { r } , \theta ) \equiv \langle \delta ( \vec { r } - \vec { r } _ { 1 } ( t ) ) ~ \delta ( \theta - \theta _ { 1 } ( t ) ) \rangle
"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"
\begin{array} { r } { [ D I C ] = [ { \mathrm { C O _ { 2 } } } ( a q ) ] \left ( 1 + \frac { k _ { 1 } } { [ H ^ { + } ] } + \frac { k _ { 1 } k _ { 2 } } { [ H ^ { + } ] ^ { 2 } } \right ) \mathrm { ~ . ~ } } \end{array}
"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"
\Phi = 3 \lambda _ { \mathrm { { S t y x } } } - 5 \lambda _ { \mathrm { { N i x } } } + 2 \lambda _ { \mathrm { { H y d r a } } } = 1 8 0 ^ { \circ }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAwUlEQVR4nNWSURGDMAyGf3Yz0EmgElIJRUItMAlDAhawgAUqASSAhE5C9sC4tLsCt7ctT82f79LkbwvGcVxO6v8JNNroCctBh3l01d1IXmSM8p7cIZDENU2ffgJg7d4MjfbKYqpukcYSgdTIzMwuUmPAYa3zkAd61FurRxagrUESAswoM3WWLTwo54MAC8p11coUzZ4PANAO7o1+ACIuyWVik9qGpNic6NyhDswcOlAe4L5U1hKoDZF4+ty/+O2/B17A//rH7t8I5wAAAABJRU5ErkJggg=="
\tilde { G }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAqUlEQVR4nO2SwRHCIBREN04aSErAEr4lYAlYApSQlJAaUkIsQUuQFighlLAeZBxB1IPX7O0Pb/bxGRrie3Y/zjcgB8Z+PB16747NuST4iDKkyEprmKdNXFgA2A5R1RVXCOAFCCWQFJMmLyCJW10RBPA6NSHOMWqTKbxKUOeAuNeTccUWr7GW66DT0FR+VK9VENt9blAL+bxr+16AYY4BkoaaovZQG/A3cAfdSZJ3dTz9jwAAAABJRU5ErkJggg=="
m _ { e }
"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"
g ( x _ { 1 } , x _ { 2 } , \dots ) = g _ { 1 } ( x _ { 1 } ) g _ { 2 } ( x _ { 2 } ) \dots
"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"
\frac { x } { 1 8 } = \frac { 4 } { 9 }
"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"
P _ { B } = \frac { F B } { S B } = \frac { 1 8 N } { 3 \times 1 0 - 3 } = 6 0 0 0 P a
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAAyklEQVR4nO2UQQ0DIRBFP00NYAELVAJIwAJIWCRQCSBhK6GVUCQUCytheoBN2KR7aLaHHvgXJj/8l5lJgBGO6XQwPwAD8CeAc1cXLQ0cXvzjzZyKsUAqfNrroCCaB+41r1mTX/NGeocrV4vuAWz7Gl2aTQsszRICAOADkLWcOeBiH6FeFpF2ZImIJjyJaOr9fgdIKdq19rkVplrcB2Ru9azKpucekFy08Plec2odoR7BX4QICzTUvLcDJhWWW7D4Rmx8aQMwAL8BvAGCEmyTWdTovgAAAABJRU5ErkJggg=="
z = \infin
"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"
R = \sqrt { ( 1 + L ^ { 2 } } )
"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"
\gamma _ { 3 }
"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"
A \cup B
"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"
\omega _ { + }
"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"
\mathcal { K } = \left [ \begin{array} { l l } { \mathbf { K } _ { 1 1 } } & { \mathbf { K } _ { 1 2 } } \\ { \mathbf { 0 } } & { \mathbf { K } _ { 2 2 } } \end{array} \right ] \quad \rarr \quad \mathcal { K } - \mathcal { K } ^ { T } = \left [ \begin{array} { l l } { \mathbf { K } _ { 1 1 } - \mathbf { K } _ { 1 1 } ^ { T } } & { \mathbf { K } _ { 1 2 } } \\ { - \mathbf { K } _ { 1 2 } ^ { T } } & { \mathbf { K } _ { 2 2 } - \mathbf { K } _ { 2 2 } ^ { T } } \end{array} \right ] ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA6ElEQVR4nN2TQW3FMBBE369KwBSWgim4ED6FFIILIYUQQ0ggOBAaCN8QYgjbg+O0Sa3mWnVPI82TPDsr35Tf5+nC/xPA867SnFJGjDg5EFpmvQPiHICL+jUVcMCgqjqYqg7AB4CoqmoEGM9ABDBFW8D+eMICvkgP8KhA3SK+L85/y57qKhUw/WUPkOclJ5bcBnKYFjDW2hxaRXkDuHEPGU8hXwMwdI0M5VghAL7lb8AE4Fv+BiQAU+M2ANkpyFMD6ADeiv8iDphPa/YAMsTRG7tuYbrDsR6+lC9+Ve0twF1VVW//4uNcAp9q6sqTNbu3ywAAAABJRU5ErkJggg=="
\textbf { a }
"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"
| q | = 1 ~ ~ \Rarr ~ ~ | \Delta | \leq 1
"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"
\begin{array} { r } { \hat { X } _ { p , p } ^ { ( l ) } = \Sigma ( 1 : n , 1 : n ) ^ { 1 / 2 } \mathcal { V } ( 1 : n , : ) . } \end{array}
"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"
\nabla \times \mathbf { E } = - { \frac { \partial \mathbf { B } } { \partial t } }
"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"
B _ { 1 } = \frac { 3 } { 8 } ( \overline { T _ { s } } - T _ { i } ) \Delta \alpha
"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"
{ \mathcal { H } } _ { n }
"iVBORw0KGgoAAAANSUhEUgAAAIAAAAAgCAAAAAD/SS/5AAACCklEQVR4nO1XX53jIBic9rcGsIAFLFAJOQmcBCrhTkIioZFAJDQSFgmNhLmHhJQQyC4Pe33pvBSGgW8CH396Il6L84vjvw3gIxR8N3mMylX1nnoPNOorfi/znbBLkTPuwpCk+2QFLBprBJrHMb+TuQawSzkYkKgKTZI0cCQfEvqQT6qPVkLsDQC32vgtDEnSAe0Bn8oEdOtyM6BqDUjcQ6E54FOZcWTGwD2zlMe4QSwlAzyKfFYWGQjbUDnVX8aaHTAipLUExiJfkgWs54Bq5XjpqwysXRMDG74kSw0Ml96106+uxkC0saciX5IFLAfRtXMKZrpeVXxcXFJ1fEw9B5MbTcKXZFsDv3unANhh+HuLGodslx3yI+/4vOwMAF1n5g9v0MeztMv87xmqwhnAdMVyMOfz5EdxBtBNWqwG/jfOAIY18FjlIUyWB/QBX5LFBuSqkeK74Z9OPSCKfEkWG3gm6IgmbjyliBtllC5CFfmSLOBjU+th4mpmxp5Q/eRn48NGmPAl2dbAMDf13m426+HzSAPDbNcv89bB7Pm9LAFJFZ4KsupK1ssN/rn8muWKS/hUltyGIHnD/GbRuupCvgv8IfnQYr7wBeYPSfhURpIWCLGw1K21yrIOdwltrZTLwC3ELccnVa6rLEnyRADwg4c+TLk8+hFQ68p6IbJ8Wt3g9P5r9jbwagP/ALUwyjIQBOsgAAAAAElFTkSuQmCC"
\delta = 0 . 0 0 1
"iVBORw0KGgoAAAANSUhEUgAAACAAAABACAAAAABe5SpyAAAA0ElEQVR4nO2V0Q2CMBCGP4wLsMKtwAo4Aiu4Ql1FV3AFRrArdIWOgA+txErpRcSERC+5h8LH3c/1L1QD5dgp938F2CeriwN/TonhOczkypC2qGPOamhiviNyWkFKgKpBbbEEiJOs6vHtrhbA2+YW1mFemUfb3CTnWxhaAA5w7ACcexDp1gCmtFmZWBtwMYuA/66GLQCC4klBcfXnGjIRHXVqRm2+B8Biwnot00I4GD2IAN6Ovticab0G2JjLWzitQuZcpN9q6eS1QvX/660E3AG3D43fuJe20AAAAABJRU5ErkJggg=="
\ddag
"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"
{ \begin{array} { r l } { \Phi ( t _ { 0 } , t _ { 1 } ) } & { = \int _ { t _ { 0 } } ^ { t _ { 1 } } P { \frac { d V } { d t } } ~ d t + \int _ { t _ { 0 } } ^ { t _ { 1 } } V { \frac { d P } { d t } } ~ d t } \\ & { = \int _ { t _ { 0 } } ^ { t _ { 1 } } { \frac { d ( P V ) } { d t } } ~ d t = P ( t _ { 1 } ) V ( t _ { 1 } ) - P ( t _ { 0 } ) V ( t _ { 0 } ) . } \end{array} }
"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"
\mathrm { c a s e }
"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"
\left < \overline { | \mathbf { v } | ( N \Delta t ) } \right > = \left < \frac { 1 } { N \Delta t - \Delta t } \sum _ { j = 1 } ^ { N } | \mathbf { v } _ { j } | \right > \propto N ^ { M - 1 / 2 } ,
"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"
6 8 ^ { ( \mathrm { K ) } } f + 7 0 ^ { ( \mathrm { R b ) } } p
"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"
p _ { v e c } ( T \mathbf { v } | T \hat { G } ) = p _ { v e c } ( \mathbf { v } | \hat { G } )
"iVBORw0KGgoAAAANSUhEUgAABEAAAACACAAAAAAuM0M0AAAgKUlEQVR4nO1d3ZmrPK9d+zxfA35L8JTgKQFKYEogJZgSQglQQigBSohLCCVACT4XJOHPBkPAMTNZV3snTFiWQJZlWfon8RtRC+/dFJbhcIS3wJ8c9C/D/72bwC4ov/zTuzkswuEIb4E/Oejfht9pQNL63QwW4nCEt8CfHPRvw79fuYQpTyQhr/0C3YiK4e2UhBeRsMx4A7yupd+Hw2nxdxqQV1H79PJuDgD+CxLTSx1h3EDUwCe6sQoLVO4GtljCFNkGP+ISap858TbehGmMwBXGABB9ffu+/++neDeRI8Jc5Y5gEwOSbvAjDqH2mRvTAMkNHydnGAP1d8GllLmX+adPjGMxjFXuCn5nEPU1/MCVt5EkWWRynTuM4dM8BODlIVIj7h/0YKpyV/D7DEgZ+X70ytwXCburgSnCLIkNVgK2GU8gLR9x0TNBql/bvqyll1C7sehW0jBTuTP4dQYk9XFmsb/+B4qYW42ETxMOgp/Z18w24ylk9bdo/kVCQPuevqyllyC+HFlcxSpnw0TlDkG+Du5t8CMbISFXKSWQrP2BitodzRzhGwlmfsE240kQ4MH3AhDNVS9r6SVcyXvuO0bFQsWn8yp3CP9rzEgdgzWuZwEaAoDI7jtxtUDAmn+lNaUAasEC+5bOCGWUM6AGyrW/EJdWwwmzhGkYF9NbopYZT8PL8PCGCKCZSV/X0iuo/XP4jvsqQHI/5qNP51XuEO4GJIvbjxoDEhV4fkYaAyKeDlfgqgGJAwagAOZ9+qJWDaKMPaXusnKs6C0wT5inp9vUL9hhLIoaIB6buy6h5HFbAWguX6ClHeAHI/vxHlkBIMk3G2tvTuVO4emLXAgAmlyfH1QcAIK8av2VawDAu1SyB4eWMMFNSik5cJu70gO44uMQF9XVfJO1ngIGhMNpT98G49y7GwO6wPkP1BKWS7S0AzipRh+9UVYKOrMqdwkdyXlA/1msAGAwPKoYmkMGpAEDnbskAaCgfVP9ZZVQ7GVAGkwSVnKa/nZjxhxBLqW8cQCe4nnXEIPq3WhhoKUdcB0+wO+WFVUEPKZV7hQ6kgsAnPtfjiVLFZOKawak0k59Lc5QXhQOP0y4RxtXeyt2CswQZlPzkQXG/Hn/HAAztCDeTIzUREs7gHVfTRdklSAffzipcqfQkRwfvVNjA3KmvS/HuMr34wK1V99FFXqKx7caedWe54VJxfc1IDOEE5WvdIcFxnlnWjmrHTcFznN7LCZa2h5Jj5UTsqIKb2NK5W7hf1PxEVoCvXhwHbcZS9dniD0T5+enJpGjvSEMjnIR5c5FCjaI6+XbUJrGDGEPhfaQpgXGJ6+NMPK0RJEabGKkEZLpy0y0tD1i0mXlhKzCaHzRlModQ2tLOIDetvQVQN+/Ui9WXFvCMLDVf6n2qnf2QOYI62hNfLUd4yt45xk4AybSTUDmfNH1WnoBiUpcb5ZVpQp4TKjcLXQyUT0MNuZHaXJl7FDGgRa1WDu1lav/8iXMEva0KZ0WGGeI/e/n/xia0/rTSE/sNuOLrtfSK4ixawLCGlmBBOVYvXqVO4aJVPasZABE55OTOynTEyhWL6Sy95SxmCXsoRTqbywxFs/TGR7QfyZUSE/hda5S0HotvYCipLvfdKGsoDYWepU7hoEB6djLOuJe/5NM7JNMtTHWL67Fe0I4s4QZoDlf9SbG00hP58ZTLb70F70lBJLt64CshIds5KfoVe4YOkFUip69jGk4WMNE/BAF6IpHVv5iZO+pozVLmFC9B7I7Yy9+piKrUZRlL+8yPT3Cp8WEw7peS/MYMnoi29nezspKCUrLbBhG1avcMQwMSIsybULUrW2MyCEckNnFdR0XggSK1ZgA3mEhDaIBtFRPRzYYe3mB8HmXAug9KVl2d79pcJ9e0uj6eIUmTnTsFwIZM3pC1HsbkElZAWkmahaGQH3yOibDS4vRPoxO5a5Bu40bBwwMnbBqnTpTdGISc4trcaI8iKPsOrIg+sMbu8IgGsCKulZZCiuMe0dtBAD6lJw4CYARoCzLuMgJgPRE745rAej3MPcKgSgYtchAdg7iTcgKyKIyPLMsFknt96IBVLFc0ancOXR2ZAjaRLCcVE0y3XOLNtSeMXZlG/d6k1LKcDqD+n6Wuz113oJDlRR4/2aPbVwjwvf7K5lZZywZOtmGCchj2/IWNlT623QqcsaDXgMFow48dXqWFVlJGYJcpJSyopewf8NckYCpV61b6HogrGhXLHE4dP9SawcE48mtL6qb1qKYXClEiiH1Hk7h/e/HkW/btcTNCAMA05x8t179vBAAfUye2Sk8P5jTJCg9DLf+FeTMB70CKkYdlFY9zJ6sgFOKJAAAwk91XzIUEENmOpU7h44x8fC0egmV8p5J9vhSn9hy2TbnZS49UGeYAdxkxaCq0fIEZ8+LR9952olonznKiLCUUspcc27ENuPuI6I+FzUL80GvwAwjjRRtyEry9uYVxmdGRsR0KncNwxhIY/Xq+Az0VqnZRNnNjauDsPOkB0J0cy4TnKRxyc+a7wGgjBvz5ESE24SwWygKIHnIvyjXEN9z0DOM7M7oPVkhi/HcgyD4RW1zhkuYRsgxHdqE6GwtorN2syePxQ/CYDJMlt6jXIULKjQh7BTqE8DbFeSq9cCug55mVNoMkvdlVUdo12wC46fPiRltDZS7MGV6bf8jGICIuFIFTg9iMqndjdObNlz6MCLsEk4lOp4DFWvOe+056HlG9vY1+rKKy86WlBOz11ZQGpA4vOvBu4dVD7CFG41t+Lh0HR4q3UyH5UwboMv4kZ1odtCA7WpYVjC+I8p6J2wp/7kIIQAQPmuNxVyzE8WgFzNdxMgIq4U1kFWKzqlpJ2avrdA1II9U1CIbbrhEgfMmUyi20vUXb7Z9Uc+k+5RjEm/OEFrBuEEaD07on/0vMA9APH/CZO6ua/5mzHQJo50oNBjIKus9b7/WA3mYyLiXwVcCIussaRyFIvKqd2e3UyFb3pw8nLv1vn72CsYAgOJEkl5krI7KpBSFICycj1qxub01xaAXM13EyAgrhTWUVYHOA/e7Wo8rljBpW6KaAiiBKHQ/0LdoxnmrE0ndF6YC4ofkfZn5mD1y20K7d7YlFjHaESNZ9cKmv8oBGRmQAnWn6EejjqzURUBqsYcopmsoLD+sNMbv0qENCB/Pd6JgBECE3Im3tcUcIzJ5Omc7jGXVO3qsnL0OOakAfQPSjDEeNarQnsItv+tw+xJD4nv6++vLFuR3OZE2UJ9o+3L6uQeUsRuzfYtZRpaczrGs+jdXzl6OydIcoyVMbwuXABCRNnk83aWHJw2mPZDXjbXGAXFaiUpythjXfmdyb87RpoFrOwnzjIiNnrMKWQEdVSlmr1qtSaefxwdGBuTUjXcwTG7hhmKPXX3yypaxkXOhCYGojiTsCOHXADrZAv/VlAKFwsXSnV21xfinuzgQFFh93wWDXvzTs7/ACgv5WgpZAR39KYrIqZ7Ht1RsW4FeRTIGYFR1TOi3cGmuTxp4C6Kvb9/3//3MbL7pPRCbbdHZJb+g68blF1YUNMmVD47OA7HB+FR3gwvqMkGGr+ayQb+EMSNmIZtdKavO01ZnY8tQGnvEpf/vy62k1Z4HQgCMUtaPky9Z++AhUMRZFk5l3hcaL8X2AUgPBWh5P3cEgDEvU58R0SVh22F8StlP+7+6mWJY1ouMxYVhiwTzQS/FPCMLBkQpK3gFHtsNkcJalIrHUa3yqED541bf3O7JOm9Yhn58btBlsOBeYiLE5GFPrmv4ox2sh336uHKW9BpA5sNOoncwXZ8hG4xHYfJESilvYJ3fP892cWhhOuilMGCkPsq9u6xkRR/lZ0KC8dFfNugI2XymUjmAt/Tj0mPogfTnAgLQwzggaflwHs9ZnXr6I8LaLBAmRu5hUaCp7IDvgGAon1chvDDuzMb3TT/Fdbr1sAXG2SibmwIA5fFXwBgAlGVWL1iCmA56KQwYBVl/H9eSrEAuflZ4QHmqw3jkbtRCUetZrfIgAyCcqgzdtSZ8NHHrzd2Nex7fo6jUanigj0mHqwqOPQFdTREOMv4IoF6DobheBy6yNxtriq7kE4XHdmc8zum80+2sEr0lE7jhoFdgllEy8LCtyUpeKUIeEC6DsdN4UbSf0qi88kCDXUqprEVPZmcyFDvTVStMKL/yd/QW04O0VuOC8Yv1RK59Uq6We/vmqKSknSdKY67P2tHYZtxDdfYAwOOLKJgOehdGZJeVqBFyzi+VlGRsGUJFF2G9yiV314CYIyFXKeVc/2S76Nh2vY2QEyEQKaliMbojOJNSJq2x00UDAn1IxzLjDWA66H1u/m5xXRVPJlGUh51QOXcqKjnRmW4CZZQzoHarbGPCz4817ORZl4kvA7vdfIQHIKSo0+b/mmhAPdEPyTLjDWA46H3ASWrvZiooMgjSelwedkrlwqm093UGJA4YgMKtFH5yfi5Bp9qe1RPtBkIUNjNBCgYAHIib/2tOFhWg2tFYZrwBDAe9D0j45mIKitkrU5Tgm1K5lfM8xlhnQGoOvKk7oQnKTFEXMf1qUnBSwNPZPWq1p3HRiC+kKJt5sVB7RtlEfxW7jDeA6aB3AiexzduNMPZAikJx1GxC5an26X0PXlj+MNDNllKbwlMEZx49biqCiZyF3GZc+FEhPkEjSE00oJpsoWKV8QYwHPRuSN7abkURAvEU+ptSOXWrXcw6DwSAZvvaBcTFoHQW0NR0oQCiGmf9nOd548SK3fBw3gPSzMaaaMB0CxWrjDeA4aB3Q+i90wUZH4TJCsV59gmVR/q1zXuw3vZcHMuJeyBRbg6dAVZJGYJM7hzl+zQsUeIpPt7MxpqECDrdw80m4w1gOOj9UJE3bcTc8pwTgF7yjg9REdX49SpPRpkWb8YLBoTDsvdphkS9RKkYOeeczuY8BdYyBVrnvSJAokuISOZ2Hu0x3gCGg94T1wVp91ui4zm0BAJVwqNe5RV9X9qPGi8YEObk6jsB05i1JPSC8+y7diO2JnTeio8DVBcNoHNStsd4AxgOelck77EgtzyvpJRVnre3D5UP64TKnZuy1xuQyslzdsnLDv3ZVpSt47xXBEi48rHh86mm1hhvALNB74zElXlcbT8MVO4O1gdRnax4kp7OTUyq+Fr7E9w72cms6OxfkhCIlQkRIp4I+d5hjfEGMBr03gjPbmx9C6Iq4mqicoew2vS4GAJJnuFTrstWn0dFrSwJes57RaAMSVds4lBge5UdxhvAaNB/G2YqdwaveCCWN+DmkUbXx/btC+lJ5JLZyHfu7V+SEMqsvAgmRastMd4ARoP+2zBTuTNQtrY0QS2c0316ovcGihPZ6gZguf/Kn5uhznoJhTytFfb4JMxaJ1hhvAGMBv23YapyV7DagLgXAklPKNvDfa/k+7LcL/ftT1uKtKxT2r4+JIzH9vinNH2Ydme8AQwH/bdhrnJXsHzVc71JKWU4mWD9DpAXx9XFbd+leYjmsFRnu78i41smCyS8M+MNYDjov40lKncC/xY3/4xicqUQ39imFO4HH3xwXCw3IP+AG619sUNPug8++OBYWL4Lw8BJ+i34x35sifpodYGOiI+Qt8dyD6SOBeAFbhUlODr26TL8QQ8fIe+A5bswx2k0dSDs02X4gx4+Qt4BL9QDcRWb1PizXOw19AKFXV5EwqXytIY4npD/CBbIZPkSxnGUUZa/nFxQ+/SVDt9b4b/A2ON2hHEDow7nrlBeIOQ/gwUy+U0eSF0U8c/XBuekap+58GjjJkadzjRwhTFg3OHcFcrmQv47WCCT32RAhO8XdIOM7tpnbkxKJDdUpDOMgfq74FLK3Mv8yTPCzlA2FvIfwgKZ/LolTBTj1SWMX1+34fI6hB+axKwdYvxNkyYl+JRias/DIcqGQv5TMJbJb/JANkIk7LrWZeT7kWayZklskLtgm/EE0jJ5dDgnSPXLyeMJeXPUbhQlUdMwlsnHgAxRxNxqjkvq48xiX/NtEPzMbirZZjyFrP6+F4knIfQta44n5M0hvhzZVY4j1afGMnn3YZytwbWd7M1Q0fWliNZgrsvwjczVl7HNeBJmHc6PJ+TNcZ3uDmARFVOWozKUyT2RrI4f5YEKNHFIkd134mqBoDm4X6c1pQBqwdxsCLMF4tJqbG+2yzAN45lehpYZT8PLnoUUCKCbw44n5K1R+2dXCriQ3I/HzTWNZdLYka4+m3Zz3b+9H8DOnx84XHTN2APJlSfJb1DPjZedmomEoZRSXvSTo6zIdP8/O4yvZ875eb7Yb8Wftz1DV7b/eELeHKpZ/z0ak1Jela+MmUzaJcyFAKBJe8eKA0CQdyoUXAMA3sXlmgWmBsRTF5UP1UU6+V5rveB2/3l9v4lQ/9w3X+/POPfu5aPoAr870JbtP56QtwZXFNN5o8ZUdAxl0uHsYVDitgJGhZOpXUEvh6EBSQDVNHhTtfutEop9g0WTXYaVnKa/3ZgxR5BLKW8cgGc6e9ygKzl1PCFvjevoLXqzxqhqTWEkkw7nABh0xMJ4TNTBXjA9GBqQM5TzYzj8MOEebeojbsJOjZkWO2zKaFtgzJ/3zwFt364hVB3OGxxPyFuD9d5MBzSmbjluIpPONi6FPur1QIxfknIThp6iolqdDmsTZwJeUu0cM56pLxvqt0NtMC7iZ7zPOwPix+ivlB3OARxRyF2I0+un71LRC1o6oLGQqjJPjWTSNVtDG00xmM4r4nwPtJe2cc+asB/HrpPjTIud28Ti3QLj3pYrxUQosgN1h3Mp5RGF3P+Z131wqtrefq/GzqprTGQySCTreSBiZGtj1m7O/FNCzJssh5G9p1XFTIsdyqBt+7I/Y1GyTk5iCOjJtEhP5KrbpjyekDdGWu67g7tGYyHi8YcmMukUFPLiwUb5KEOtjG/tf67K5Y5jrR6WoXxPr5vZFjueyDQrRwuMM8Qxe55bYQBEPdd5ID0xbXeC4wl5a8TYd7W2RmMkyLIxKwOZTFQky0omgG7z0lM3//jQpkKN7D2N0mZb7HhxKdRXWGIsnilFHtB/JlRITxPH6I4n5K2ZlHT/+yzUGOApDci8TPRLmDriXv+TTCgS1n4TxHusoph7pRigOdn0JsbTmO5wfjwhb4xsZwdkHTxk4yWFgUw6HggF0AlhxDQcrGEifrCmWUvh5uocILTUxJYsMPZigEy980VZgnjtFenpsf1SqA7MHU/IK284EMsT2d4WdFZjKlBaZqPQjIFMBgakRZk2meutWYrI73BA6rgQJFCcBhXAOyykQZdhWqonAhuMvbxA+LxLAfSelCy77/TR4D69pNH18fCqzlIcT8hrMBbLE6Le3YBMagxIM1GzMATqk9faDC8txrHdeZloYyBxwMDQCavWqTNFJ3QogLIA0ppM+KviRHkQR9l1ZEHEewI7Bl2GWVErw2BWGHtdUQoA9Ck5cRIAI0BZlnGRE8x3OD+ekJdDIZYWGcjelQwmNAZkURmeWRaLpPa7MQmqWq3My6RrQEgNPGImRXYbTBWR9xbXcwl8AGB1lgHQVVoT/jkEeFRHI3tovT63IBRAAWIgWWUYzH5F8Qxol/DpifD7U1HGqRCeQYfz4wl5MRRi6d7DsgHtaQw4peQSAIH3nRU9Kgy1MmA6I5OuAWFFu2KJw6Hnld5gCfFkPuxE1VOT8oyn8P734yQ7o1riG+LeZTjFUNYjMM2LZ5sxCgHQx7SVncLzgzlNgtLDcOtfQe54Ql4KlVg6KO0akJ7GgFOKJAAAwk91TxO09R5azMtEs4RJyxyNB/LwayJrJaQKZYWkFvSVBzCayMW3PTnGqIH6hPnqk0RDzvp0HgN41CxE1DsM0GilmvuF4wl5KVRi6cCyAHoaQ5SC392R4NRf1VEVtXmZDA1Ic3kdn4He72f2aliy86QHYuKKalHGTWjYiYRZJjhJ41JxJsdVFAWQPORflEcgbl3IM2KxbD96GkMW47kTQrCJLzhcwjTji+lwqzo6W4ud77nZk97XpsV7spn6yGPxg/BAXYbrE8DbFaSDKShj2BfytFhKq3Lra6yO0K7kBEbvwJppVbmEKdNOyX3BAETElQJsL+JunN60F9DH4boMn0p0ZnIqygPYPutCnheLxW3svsbisrMxttEcqjQgcXgXgXcPqx5gCzcd+4aKbaOHMDfzQMqZBjyX8dNSzG2tb9EcS48VjO+Ist4Jfcp/LkIIAITva433ELLxnuLg5iWy/kQ9vPn2YtlMYynA2i34bebQrgF5pKIW2XDDJQre7/DPIFM8MfpckM32AuqZB7UcK6lQnHvswdvVgKxg3CCNBxU+zv4XmAcg3vlwxx5CNtb/6OZlf6oa3XxzsWylsaz31O/ggTyMU9xLnisBkTnTRUyLYCxFvXy2C4Gw5Z39Zu+878JgBWMAQHEiSS8yVkdlUopCEBbunKK8h5CN9T+4eRTPxGO3F8tWGivQGfZWc6hiCZOWz4FTACUQhZpnut4m82YLLJq13xoCcT8hTwXxQ/K+zHxc3T0b9T4hOyOWkcZ6YdOt5tChASlQx+1R7EYSWamJgJTf9VT707UQ09u4G7z6TmzCHArCx/NpLBgBEEFb8uMvY04sRH1EaHuMNdY7kKyaQ9e4vl0D0vx6t+pYA+0p3HSX5nzie/r768sWZLsQyF9BfaLte+HnHlDGjky0bmFWLLY837HG+ndXzaFrFDpawvS2cAkAEWl3BUKxxyYZDaY9kNdDBBoHxOkXQknOFuPa78yrzbnWVBF0MsHxhLwI82IhVlriKjQGdAY4nkPrdc/YyICcwkHVsYktXJrrvnkF5JUtYyPnQhMCUZ4G2A/CrwF09un/qykFCoWLpTtLaovxT9cvFxRYf9/jCXnZ/WZ/ghU20qAVGgM6AxzXhVO+FPMy6VUkYwBGVceE+1u4T0Rf377v//uZ2ffSeyA2G6azS35Bdx2YX1hR0CRXqkw3O9hgfKq763plmSDjLMbjCfkljMXCbGSzKzXWeebrbGQZSs3Mq5BJ6f/7egzsf8NrRynrx8mXrH3wECjiLAunMu8LjZey1XFMU3goQMv7uSMAjHmZeo9Ql/9sh/EpZZ3OInUzxbCsFxmLC0Nv9HhCXoR5sdgwIEqNwSueZ/OjsbkoVe+EWiZRgfLnkSvW7fHgDdshV5hu5+UWWHBv/BECit7FT3BlV0sppXawHgy7hiwEZ0mvAWSuaV3CNIStMB7tsyVSSnkD6/z+mRh1cZbyiELu/9r0C2EgFk3jot01JiuKewfLkGDUhIZB0dtbLRMAzy64Qw+kb5sJQHUNBVIB5lSR1LR8uG3nrE49feVabRYIEyOPsyjQ1FTAd0AwlM+rEF4Yd2bH+3ab4jrd3GiBcTZKpKYAQHn8FTAGAGWZ1eolgQrHE/ISGIglyAb7uJY0BnLxs8IDylMdxkN/oxaqWs9qmQQZAHG/vGtZ+GjihrqPupQJ5VeuaTH2JnigD3vPAVW34Duga17HMWoZxgFQr8FQXK8DF9mbHT317JZru+1ZYDxOp7zT7awSvQVT5/GE3MNsZ7pZsSTD18aaxuSVIuQB4TIY+YEX1cuskUnlgQZ3U9FjeybDETONV5eQq5TSrMuhLZDWalwwfkqfyLU6ugLGnvgWyFFJSTu61Jjrs3Y0thn3UJ09APD4IgrHE3IP860tZ8VCdlmpmSHn/FJJSUaWIVS9yxMy4SoDYowbucrZfue20bGqehshJ0IgUlLVOnA/cCalTFpjp1udB/qQjmXGW+B4Qu793OvPPH+7zq7j94MQhVgmZMLvYvi/kbtjgjhgAIq9z30tQ8LPj9Xj5FmXiS8DS72FHkw8ACFFfe9Aqlmd1xOtiCwz3gLHE/LG4MRWF14dxnkMaa2oGTslk2duySoLFtyklJLvEzXfAOMlXosKetq36Q7uW6NxphOANv/XrM4vj+8VsMx4CxxPyL3rqEmkZBrcKNqyI8bvh6dyQKZk8niHXonYMEOZW8ett213R0KbGOtZv4KR0rMZ1Xk40/QRS9KszoMpl9cq421wPCFvjIqYbBjviFEIJFeOfkImyWMELxgQx0IgHXiK6G6OxnBUBBM5C7nNjSV+v9djdtSsziuFNWxhlfE2OJ6Qt0byXhdkHALxVBqZksnTD1sXA3kspN5fV1SFuBiUzgKaaioUQFTjrKfteeMshd3wSAsMCMoU2tX5dEsTq4y3wfGEvDVCb7Zg2p4YHYTJClVVjgmZRG1vlfV2jDu6/E6Uu8tngFVShiCT/nNuFovfBE9nmjezo2Z1TqfnRpuMN8LxhLw1KvKujZhbnnMC0EveOkEVUQpFL5Okzfd4wYAwN53nRL1EqRg555zO5jwF1gLDrTNdESDRrc6TucW5Pcab4XhC3hpX89z/bdFxPZ4MAmXWpV4mFW3JrzcgjoZAEjCN3UxCLzjPPrg3Ymt25K395QDVrc7pnJm2x3gzHE/ImyN5kwW55Xklpazy/Hn/UP3GTMikc/16A3LRprm/E8nL3vHZVoCr40xXBEi4UmF8Pm/TGuPtcDwhb46Evi+HuAeN/TCUyXoD4mQI5Ol25et3mD1qZ1xd+8sBqlydX018a1uMN8TxhLw5Lm448Feu1ISpTNYbEBdDIMkzfMrX77RX1Ip/3XOmKwKlQ1exiUOB7VV2GG+J4wn5b8FYJqu3cWvhXl3iNLo+tm+L9TvM5JLZSDXu7SeSEMoiRxFMqt5bYrwljifkvwVjmShbW5rAwSyQ9ESj5l/Fwj4xfbDcf+XPzVBnvXNEPK0VCQonYdY6wQrjbXE8If8lmMtkhQERhAIoQBzzQNJTt+vgK8f8WO6XuxZyLEuRlnVK28eZhPFYnD+lqRp3Z7w9jifkv4MlMlm8OuIgNymv7m3iktfG1cNt3w2mEKAe0I1TVWR8y2RBoHFnxnvgeEL+K1ggk3+L+27+A2609sUePek++OCDQ2F5EJWBk/Rb8I/9+OCDP4/lHkgdC8ALXCol9MEHH7wHyw3IBx988MEd/w+79+2EqMbZnQAAAABJRU5ErkJggg=="
\begin{array} { r l } { W _ { j } ^ { + } } & { { } = \frac { j } { 2 } ~ j \left ( 1 - \frac { j } { N } \right ) \left ( 1 - 2 \varepsilon ^ { 2 } \frac { j } { N } - \varepsilon \left ( 1 - 2 q \right ) \right ) , } \\ { W _ { j } ^ { - } } & { { } = \frac { 1 } { 2 } ~ j \left ( 1 - \frac { j } { N } \right ) \left ( 1 - 2 \varepsilon ^ { 2 } \left ( 1 - \frac { j } { N } \right ) + \varepsilon \left ( 1 - 2 q \right ) \right ) , } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAt0lEQVR4nOWSQRGDMBBFXzoYiIVUAhZiIRawABJqAQtFAkggErAAEn4PIdAOnfbUHto9Zfe/yd9s1ojXcXqj/xUwDMtdaTgbY0yTU0nytNqiBryDKqVIUkXI8hwgTNIF+h3oYVz1kvW2Cr8D8theklqLvSZ0Su4rMJdQ1rUDN2azB0BzSC3X89Zsn3oweR9iBy7YwxzM5xemAGg6B5S5FgFYYnLP030SkqQinZ07yDF94Bde8RvADV9DpCpJb0cqAAAAAElFTkSuQmCC"
\backsimeq
"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"
\begin{array} { r l r } { \frac { \beta } { r ^ { 2 } } \left ( \beta + 2 r { \frac { \partial \beta } { \partial r } } \right ) \! \! } & { = } & { \! \! 8 \pi \rho ~ , } \\ { \frac { \beta } { r ^ { 2 } } \left ( \beta + 2 r \frac { \partial \beta } { \partial r } \right ) + \frac { 2 } { r } \frac { \partial \beta } { \partial t } \! \! } & { = } & { \! \! - 8 \pi p _ { r } ~ , } \\ { \beta ^ { 2 } + r \frac { \partial \beta } { \partial t } - r ^ { 2 } \left [ { \frac { \partial } { r } \left ( \beta { \frac { \partial \beta } { \partial r } } \right ) + \frac { \partial ^ { 2 } \beta } { \partial \partial t \partial r } } \right ] \! \! } & { = } & { \! \! 8 \pi r ^ { 2 } \Delta ~ , ~ ~ ~ ~ ~ } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAApUlEQVR4nO2SXxHCMAzGv3EYqIUgoRY6CdUCEtAwCVhoJXQSOgmthPAwjiW53eCZI0/pl9/lbwfGsZ0+xH8SuPRpvGngrF5hnL0/AvAgW0IDzk1LNClYmndwSSksgRZN0AKxvZwUNlGMmcmtzjLn3T28VZJtyikmACHYObdqlQCgMHPCbg9Ua+N7NwnULXpGN2vSi4qgwqaEAlpZm7kKdfh/+++AJ6rdwyQxfhHOAAAAAElFTkSuQmCC"
\xi _ { 1 }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABJUlEQVR4nKWTW5mEMAyFD/NhIBa6EmKhFmqhSOhIWCRQCYMEkDBIAAlUQvYhXMrAsg+bp5Pkb5qGUAju7fFH/negLr5UCMOJWuMINszqjMAoIgJxCBryIGsNzFtdi28FwgIE+FlEPFiBl4odILOefKkgjCKyNdknp4IxqPCIh1eEBaA14NECKFfX2kWkNWJ4GPhiDj1cXuIE9IPlRTrEM5AqhFWTT+0JeE7Bbo5Fj30Oy7RYMjOQY4VYc5f77qOHWHFHeWA4ArGi5pjvbQ7EijrO84hwWZMNSD90Y5cWZ5BIuZ8HPbUw5QU2oAWmSWXaQj4DDs/TSoPh262O8LgFWrhboE1s7gF4AHisG/hpk96ABxKmK6AGEwCUeF9XYNa9KP79d/8AZP/GfUCyOE8AAAAASUVORK5CYII="
| 2 \rangle
"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"
\int _ \mathcal { { C } } d V _ { n } ~ \partial _ { \mu } \partial _ { \mu } ~ \rho _ { n } ( x ) = \oint _ { \partial \mathcal { C } } d \sigma _ { \mu } \partial _ { \mu } ~ \rho _ { n } ( x ) = - \int d \omega _ { n } ,
"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"
L _ { n _ { < } } ^ { | n - m | } \left ( x \right )
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAb0lEQVR4nGP8z4AfMBGQHyYKWFC592adZTAuF0QW+o8MZjIYn3FhSEMWQlFwl4Hh7n9BBhdkMRQr7jEwKDHsXh3KgMuK3Wg2/v///z9BXyBrgQi4oJpAuRXDQwEjUrJnZGBgYGD4j1sBjdwwJBQAAN7glHbbvPrJAAAAAElFTkSuQmCC"
\mathbf { f }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAkElEQVR4nO2SQQ2AMAxF/3AAEoYEkICFWUBDJaAFLEwCs4CETUI5DEIhG1y4wb9sSV/al6aKcZ/iof49wFKtiABQW9EBKLHJFjMAYIJJjgiuix8n6hKwaO4lHWKHkANsU8a3SwOHQgZIKwggrSABHRUmkwG03lQuk3jPCM/Mvvd8ilg12QFuGcpzA/Vf9UvACo4VPbmokoB2AAAAAElFTkSuQmCC"
U
"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"
{ E ^ { \mu } } _ { ( + ) } = ( 0 ; 1 , 0 , 0 ) ~ ; \qquad { H ^ { \mu } } _ { ( + ) } = ( 0 ; 0 , 1 , 0 ) ~ .
"iVBORw0KGgoAAAANSUhEUgAABUAAAADACAAAAADg5ZaYAAAqXElEQVR4nO2d65mzLNeGr/mOtwGeEpwSSAmkBKcEU4IpIZZgSoglaAmxhFiClsD3Ixt34AYBNTfnr0ySceHiygKWbH44HA6Hw6HC/61dAIfD4dgrLoA6HA6HIi6AOhwOhyIugDocDociLoA6HA6HIi6AOhwOhyIugDocDociLoA6HA6HIi6AOhwOhyIugDocDociLoA6HA6HIi6AOhwOhyIugDocDociLoA6FKl2eWnHl2NZli6AOhQ5FaauXJxMXdnx9ViWpQugDjWixJxSk8jUpR1fjm1Z/rgNlR0q5AeWGrv4MbtTYxd3fDHWZekCqEOJQ/7wjF28+KV3Yxd3fDHWZemG8A4VznlgTqjwgvxs7uqOr8W+LF0P1KFAcagMtvRA8UvuJq/v+EpWkKXrgToUiCqTLT3gBZV7jrQW+doFUGYFWboeqGM+xS8MP+XJDzDal3BIqJLIM/cYxixryNL1QB3ziUANPyWnFK4Lap/89GtuHqVx1pClC6CO2RRX+KZt+Lju95e8U4rDIQv3O39sFVm6AOqYTQQbSnVdUFPkWSZ8n5D4ETLLhdHHKrJ0AdQxlyoB1Z+fzNorjT2KxC2JN0B1/u9wPP78CR4VkTSwXx5trCNLF0Adc0kqAy396fjbHhv5qBLtVhzFMaoAIDl8m3fXkaULoI65ZID+cd4VVbtPxIBv+4lvgWtOb7y8UeD0ZR38dWS5IIDKMil7Zb/T38xQSOq3SED0P2kIQdvypwSZxcdIVtUsc60Vbj6In9K9dvA3JkvVADqQSdkl1fXXLR5skvz+Ho8/R0H9GmnpcSnvpP0OA2yFGbtqlrvWAvkzT0hCYI+zHDYnS8UA+mWZlH1PfzPB6a/wGEEmqN8MMDHFnXTf8KwFULtqHnCtBegrT+jvMoBuUJZciRDvTAop1a6wIR4U3oWCrV2ODVGCppzzC0B6nwFIbZQhVVbnXKyqeci1NgFC4fvhhn8IG5Slcg5055mUJjuf/maCjKQMQBig6vYCMwBWJltT2BvDW1TzgGttkliYNKmdDcpSMYDuPJPSZt/T34yQ+8+hi+A3lgFeb1xjAmJtDG9VzQOutckVbH9rjjYoS8UAuttMSnX9+zlE+yrzCni1RLs/s9xMrklUCBMzI0QCMKdmgbUB11rknJF4PeuqbFGWCzMCskzKJinjdwXQuJvsGkj93GPZJ6n0k9XRU+i4X73EWpWH2tOEQwLgXKpmuS8HnTlsTeDaJcbmEQOya5nNgX6dLIUB9J5OTcfegLuGMlnh9pSzHz7HAX5b1HLdxAhkl7wYqrTpFSBDT6FLr+eUB4CLaqnmcQHw0Hi9YQFwqZoHfDngzBFrAtcuMDaTuzx+DvYknCx5V5aCAHrzANA7549QSFPTzNIju3sap4t+S7eAAPCCG+ec8zT0uqKW6iYGlT+aDQbkrsynAtTRU+ib1/9iCkNPO+89WymAm+LVHunt1lLMqAC4TM2DvpQ4c9SayLWqxmZzJwPXkf4QnCxrU7Us+wE0Bvz0RtnzmwIaLghBdHYRJJThMztM1T1EANBLs/IfFx9o9DhkurkP3mJJ5U25KnUFKKOj0CEAeEHX56EZpcasn01KoTosi+l76Px+Z1wAMjUP+1LszBFrEtcqGpvNYPzkPqjwfSfLF21Zij4OOOc3cH6BF17SNE1TCgRpmqZxGDTH/wOZFI3cKcI7L2OywBoJBFmo8hZ4H6dLAmhJhkcG9wn1VtLBbkWHRgWooqPQPLyk6aXv82B53rzH49lD670PwFe4XNl4SMtejh8XgETNY74UOnPEmsS1isa61xhT23D8vBNxt9/J8kNLlr2PPXgl5/wBzsPP/TTCe6MJGsqk6KOkL7fLqlYPkgA6mqMIxydfh7N6Uo0KUEVHoZ/cSTcNybQrNQ3wXIXX+wRQyhD5AChjz4eyky8gUfN4kmqyMzv2eq7VY2xMbSWVx896zNmLZE6WH1qq6n4cvrwfU84D7/Xmo5E2ZZ/KGW7JtBF8hhQXwBv86hLEATQebRTLcS/MCqDNClBES6E7xflAdFfCBSDhQ7jsyFN7DE/AHpxz/mDA5DZeouZxX85wZpuea/UYG1FbqbbkzsmypiXL7sfeK1TSmHP2vpvmZei7F24pfj7qn0C5ZBA/hjCAlmRcbeG4LuYM4ZsVoIaeQr9Iu0pV7BUOFMWLS8m6TcVuxbOvxPmzLzqttBI1T/HldGe26blWj7FhtZUU5Jam6S0Mw3CGxJwsa1qy7Hx8w7O/d2G84aywUbr3HVqKnzxodNZ9tZzYJIQBNJwQsR9aC9WqADW0FjrtzA55qCo1DAd/GlKlSp/6Si94r2+/JBNDsEzNU3ypqoCua40aa9hoJIgn/5uTZYOWLDsfB8/IfmvnIgL05DWUSdEKaXSX9c+srhEGUK8150AC1TlbUVwBs9BQ6PSjzrTzvVRVqSNZDKlSpfqWXjBt3L6PKc6Qq3mSL2cpQO5aA8b6KAZQJ8sGLVl2lnJeAR/Iz2lrWWnR29WpOubMylKwvGos2mJAZXMVZlKAdR3xflVv582AqzaT4gqYw6JCV8/daqvo/c0MQW+FXG8FotCCBtSWOlZBffvTVvdJ1TzNl7MUIHdtz5gJuV264WEaTpYyQ+0AmgAexfV4axemt1dpdcxJkGVZcj6fz/qih4C8GbsJli5Wzhv/3o7FBfpOztrOOv/3+1wEW51/f38/X9d59oSkAuTF7rOg0Nnff8fjzxlg1evoweJKL+2S9A1KLGhi/nYificWtn62Ik/K1TzNl3IFCKzJXdsxZkNuU3Gy7JXp86rVOQ2BgIfdHHTzIfznezVG1yK1H7dh0VOkMvSCz32UQas5Fs6R8pojyNTD68/UAxqflD333ELGWJjy8M45f6TpLXzewz1N4zDknD8uYShcjC2qgKFiC1AtNC9DeGH4XFPsISw55zFhnVL2nvFKLXRQGSsNPlCeNLMhRHNauMSTcjVP86XImXJrUte2jKnKbZbaJuNkKTXW/pgCMetdsX8VPQH0kYpof8fvBtBw/jVeXAhrPJEoaV1XkulvrYYj9EI8szgh/HZqrRN7H5TdOOd3RpDyt68458/kCcDLgF3SkIiqTlAB8mILUSw05yUlN875DWDPeckeg9drrrpKHbDQZp0ASpstrsyTUjVP9WXfmQPWZK5td1NU5TZLbZNxspQaa31cAvD6c9VDQ73MlnA/tL/DRgLolGtwzjkv/f6kkZFGszV7Kyw54HFe+uzBy9bTrHYZS/p+kOg/4/H9Rt7Xeb58zm5IBT+6fgXMLrZaoRsL6Z6V/YhD4QPKjlKHLLRZJYA+GrMDDQqg58xBaxLXtjygLrcZapuMk6XcWOvjG4RTyPozfvVgM4AKFtpe+nML+tf+/D/nHAh4SQPOedqabsFaf8Wfbuzj/Sqor8OA9/Q72l903KuA+cVWKzTn/quRTMcv3/z5Dlhos0oADeoxhUkB9JypYq1pbJHcJqttMk6WcmP/a8adHAgEj9lywdFKOghmH6PBeo8Upl7jLw+728775/EnUp+rE6AAKM40xuvlB5o1H0DVf3i0/ufGd/NX/tvLe6nvXgUoFVuh0MgSPA0lgLhRetJJxg9Z0MOSLZWzKz5HtZgUQNeZqtZqLS+R22S1TcbJssfHmc0Aer2KDxrIDe2d7WnYQnriNc6Z9xJSnuSvlOdc6wXAzojfL+VfvL7na4ibnbeLPaBol6FXAcuLPbXQCYj/KkI8ZKH/I5nsFutUJwTvh7VWBbAlucnV1r9Qu3I/z7mdLAeoA2h1Kir4gkqoqlUPH2hSKe7bX0Sf9uvQbMlmXSwDKbL09VLuEZpkh/C5k4V4nl3DaEvS/QrQUOyJha6uz59IdPbimWIbtHCO6tfR5zWfZ0H1gueCvmc02RTAtuQmU5uApD2+e8VIJ8tBPvNAk4PviyN1DhArxzWNo3rwSQTvNeRoNwazLlaA/sUEAKp8oEkLKIrT7++f9OAliVwEFaCh2BMLnQAU1fX3ernPbawnWrBPdKWfkGJTANuS29Kuj5PlMO8eaJ7cycHuCH4qyw8Wezdkz4u9vVlN6Nk3cys5suDpiMH+B0mPOVAUyZndhO2OuDESVIBqsRUKnQP5sWI3hYoetFCXNNJzCuT0C17P9LNuxqoA1K21Mnma5Daj6yPqwTpZjvAOoPSGIgcVuXvVETztPjZSaUyS+g4a95jVT3mkNIJ3VXzy2Hm7GJ2HbOR+zbIKQHacsfJNUAGqxVYodAbQi9IwQ24BANjnjQidxSNqTL5gdqrjp2kBdJypbK3ZVTAst6k4WY7QeIiUSKKTqYfwuAqXpLXbQdJa0toP5VOugaweXhT1veRjR3OzqPlXhs/6297S1s7oJQhQ5FlS5edZ+wV0K0Cp2EqFrgqw7mNVMb0GbdCCBhQfNOZ/JK5Va14AzXKqWWsbsyC3qThZCvgUshFABZH6/b6ZHmgxYZ0zHQmgU67RvIOsvkJChiZG4OmkOvFeu6ebVGlnZs+MAfA8/3LMr+Gc37+gXzO/2EqFXpAlkVvQg1rbnR+RNqRiWAAdBahZaxuzILepOFkK+MhSGEAj0oj75h7CexNujAHI3t8ThPgp12iG4PplUoQjP07PK1qVTl5tbDep0nbQp75I+luNPfhs0a0ApWIrFXpBFcstrEgnfpoWQMd/atbaxizIbSpOlkM0AmjxNlQkzSGwuYfwwZTuuZ80A6jXHSdMukZNY6+d83jyg11r28jQiOPNKsnQTv8k7+sSNm/bHEkFQF7sM/r3oFLovPGzqOZ1+qQWVqT6a8fPBiYE0FOAmrWWMQtym4qT5RCt7exeRTy18rYr/y78eoOrKhlLWkkg70eAVV3lUTWeMGKNCmxkfnKAoThmzT8bNLMKMz3XroDRYl+jqJ/BUCk0q4dLyWHWzl9yC/NYPtWipjoWN4oqe1MYFkBXAYrWmsbsyG0qTpYD1Es86WvPkqC9OtQ3tBJ+KuxjP1Rdzhu89+Tx8V5SGxPpWRENGtvhN45rAXAL680V/Pa5E+xTypKwz//Wn342pekdANOtgNFiP4jonG2FQj/w2goiZd2Nwjrc0Nn2Rmqhw4iK3pvn9N6Ubl8ovWDZDSOhYQF0FaBqrXP4gqrcJqptMk6Wgjc/smwE0BigD36jrUX75Q2AN0Vrpijpy4sXTNK86BIEXsl5GSAkIHfOy3DaLYX1Hja09iQA1BVads4DZCBByTnnZUAenPN7eiNAmN45v6cxAfw0LV/v+mnaqJ5uBSgWW6XQIYAgDCkZaytTtHdmkFroMqDUMk1jAsC/pe3b86FwpEcvfiI0K4CeM1WtNYwpy2262iTce5tBOlkOybK510gAAKTZ5DcerCk2XxooGeAFgfc6rFaFBwNhjLA7jwkIY144bX/Zx2cPmLKxpR9pOSnu9JIYLUMvCMOAPPebZXgmkdl7h0YAafNlTbcC1IqtUujymRsJRj3cOXxGbqGLXKmtxFrrS0wlgPang4dmBdBzpqq12pi63GaoTUD5fBLktwOGk+WALH+aC0DzBJRNzNV2EsWivLE28iQHKGPj35RS5DmlHoAiK9C/kqz4pyt5PB3SyO/nVfP/Dzm9N/8lYQRVnoEJVyUM06uAkWKLUSg0kOdFt8RCp/wArKEtqQUdHDOg1PQA05wABM4csTZuzI7cuhR/75zfrfWwwcmyRVuWY7FdQtxuzeI1u6jLkRa/HN3JO93enWsqtNgpMLS7tgimrs+ZLBDAfAVYNTaHEPTGyxsFFpy+KeU7Zakq0E6iWJw33g3y4l/GtMTWfcQmRE+hxU6h1oIa58CCXYBnsUAA8xVg1dgcwucjp5IuOnpMylfK0prVvRIMV2os3MPfHuLsvcFC2+sV2u1WSBnxpV4FWDXWg73iwm3xxJt/R5YugI5Q0qFhRblqz7uMPXGAMVjoEMOnh2nkgZVn0HHOx3ypWQFWjfUI36caDZyBMYF/Spbtc+EdPUhK/+RzeP+Qmlg9N4n89HuSbAJpsNAeRPt/G6GAqW1s5jDsS80KsGqsx6WedaNu5h+TpQugY5DU+5N9ds5lSwaNUxwOWSg1bq7QHnon0JiiwiYWhw75UrsCrBqTkYg3Bp7CPyfL/8m/6HhCUmnTFvqr/cAJiQNU0qVmxgrNAOSqP6955NjGGUsDvtSvAKvGJFzVdxn+52S5oAfa8FKRqS013Q5Di16JvEVdr4NE0uFtVJYXWlKp1GZTb9G/AwoY8JiiAqwam8s5I8obi/5zslQNoNX19/x+nfz+Ho8/R537QdileTOOJ9JKpTaTTbYCqFUFbFxu1wiX1RL7Y2xOlmoBtJUoPv0VHiPIDmZ20zLOQNb730VeqRSwNNywtsGoVQVsXW75CfG8PSItsj1ZqgTQdqK4utL0kZYX4KShdNYZznr/qwxUKoPezeek2EqBWlXA5uWWH+fusWuRDcpSJYASEj/CenNUkjIAYYBqj4nQ9s04ngxUqufZU6pnYyhpVQFbl1t+rAIjJytpYYOyVAqgrURx7j8nRdl5BKadsaz3v8lQpfqWsk2FJU1ZVcDG5bbt+LlFWS6fB9o4ZWPLQxPHHIYqlVnKNhk5TdExRHXadPzcoiyXzwN9t6gFxs7ocuyGoUplXpFX5qu6ykFcALVKdczZluPnFmWpbSJ9FTGDO4I6VkFcqX6EzPzgOqt/Lw4rVMecBBme8+C9DTt/S7LUtZQzObD+VuCOfSOpVN/KYCnbbVp9r0Q5qr/j8fgXRVG04TmJm5KllgB6/vn5K7LTHh/CO2TIK5VSWPh5JaAup+7osjVZ6umBXtL0Ul2P1/FvOnaDvFIDVMalmlRuBG+ZS3PTts2OJzcmSy050AsAxo7ViW12CZhjLgOVGkSF8WxTtuksnGMttiZLfdvZ0QBwXVC7FKY3UJBUaoirYcNVgnD8W45N8i/JUuN+oG7OiW3yDLnhQYu4UgPPdLopqVwHdK/8U7LUu6Gymwhqj+zn51ABfz8/hh/eiSo1RGTWaOQ6oPvkX5Pl4gCaNYvs5p3Yoz52Rn/Xf7RSA1YYTddcC+Y6oLvkX5Pl4gBaRe+0Q4bAPUP6DsYr9WK2rY/gVmU4umxRlsoB9J0oZtWryMWV7lb0xrPeO2O8UmlYGJRqVNje8s2qApzc1NikLBXP9rwT4MY559xDWHLOY8JWPSB9CfXNOJ5MqFRKjNV3SaipS0uwqgAnN1U2KEulAFpPsk05DwB4DF68tHwr0boZx5MJlfogxoLAzejp5z2sKsDJbQEblOUPX9yxLbICYG4S01cxoVITc48MDV7asWe2J0sNAdRhGYObdlnYD8zxjZgUzqZFqXceqMMG5s4kK3Z5rJVjfQyek7dtUboAujuixFwATQxPRHZ8JwY1uXFRuiH83shN7rx6zO5uDznHXIxqctuidAF0bxzyh7n1CsUvvRu7uONbMarJbYvSDeF3xjk3ud7LC/Kzuas7vhOzmty2KF0PdF8Uh8pkY4/il9zdglzHHExrctOidD3QfRFVZjcc8IJqyyn7byZfuwCqmNbkpkXpeqC7oviF4YR6foDZ7oRDRJVE3mZP0RjGvCa3LErXA90VkfGT1ig1vaeio0d++jU4kdIw5jW5ZVG6ALoniqv5LVd9XHf7W94nxeGQ2d59Sh82NLlhUboAuiciC3tW+9hsa/+lEBI/wt3uJWFDkxsWpQugO6JKQI2ngjyKxG1XaYI8E59yQdId775vRZMbFqULoDsiqUw09llHmb6F47X/Parzf4fj8edvt8/aJdjR5HZF6QLojshMHH16Ov6200sMps82/Acpjs/jKJLDl/nWjia3K8q9BtBCMhz6ZooERP+zhiuqdq+IEmQbzdjvl2tOb7y8UeC0zaGoIpY0uV1R7jOAJr+/x+PP8duGQzXCOzPS2CME7VyVATZbJ3u1KEtCWuHmg/gp3epQdJxVNWlblJPZZQA9/RUeI8i+bTj0orr+Ctf+ZoCBdP2lvHc2rPUsalV2rwYsrZqEzJ9PWkgIbLIjNcbamrQqyjnsMYBWV5o+0vICbHqrVUXkk6oTI609evt928s3WZxAvnISkr6etPi7DKDra3KzSdA9BtCMpAxAGKDaZKO0hIFJ1RkAK9OtKey09lYnkK+chLyEn5cbXZMoZwuatCbKuewxgOb+s4H6xpPHBiZVZ4Bn5XQYYmm4ZHkC+SaSkMkOZbsFTVoT5Vy2HkCr69/PIWoPH7xagrtdACdjYFJ1bq3z4ul/siOqR2MTyEXGNpKEvILtTrOb0KQJUepg0wG0uv79d0qQn38P18a4K3i1hgXCDZ7Xl19ln2TST6Zd2Fp7QTVrVVKPY6h5UmJsLAlprNpanDMS67vadEzdnT1NahelJjYcQJO//04J4Ic+QX7676/726sidtFtc/lEl+tBWs35ackD56IS5daNQIBKXzdtrB5lKHlSamwkCWms2tpWIlxm99g0TL4ydXcWNalZlPrg2+QWEABecOOcc56GHgD4cdn4hhdoN+oBoPcll4hBS+mHAaYVOQTrv5kCSFWLJSVN4/QhMnVTudojvd3alxutR+G9cq7kyXHRcH4DBBWspdpGuQOx7DOZHzRoUsvdWdSkZlGaZaMBlACgl6ZsHhcf+Ig/BAAv0Ft5MeCnNyr5QU/iDtKr+ZqSyn9ATYRiDfWL9fHKbXlh+/0UQCj+lyHi12iO1jc5Vo/ywKHgyXFjnHMmsqen2sa4k4FY5YOK3tagST13Z0uTukVpmq0G0CDut5nlLfBe1RVe0vRCBhr05z/Qoaa3SwoEnPPbApeUBJehz+/T9CYUa6B9uHCrR18dNwHw516tbDxdZu/LjdWjNICqeHLcGOehKJjoqLZxrQ3GzzsR9q80aFKTKC1pUrMozbPRADqJOwEGmtZnAzm90fLglZzzxwKXCLs37RKRCRFdKFamW6x3AP4ljQMAHYO9NybgA6CMPVN80/9bEkA1ebJLLGxzdRgb1dpA/KzP8uhGMg2a1ORKO5rULUrz7DmA8nBEs7MC6PtisXAoNYl4tC0vh3ohjaIIlEIAT61YEi7v1FpKOsNc7gFk7uUI2INzzh8MGBsaNBAHUF2e7CBOQmoxNqa1kiqUV4MmdbnSjiZ1i9I8uw6g6Uh8nDWE917dWaqc7yrJeBMZThkvCcWqvQH2vbdvLt0fv0rPAp/L+XOKKrxXbZ5sI+4E6jE2orWSqtTeck1qc6UdTeoWpXm2MY3pfFadqTE4iYLceW9TAhlJ8dxZOyLKs7ujCXvLBoDaxDvlGRxS3+bB2zehaGrNzEl3eT0pNyZLF42Y8WR+rALBLEw9xoa1Vh1zEmRZlpzP5/PkYmvQpFFR6tekZlFa4H9rFwAAEM3ZkiDL6yl9+tbFvfblSqKH8iWmLNPzaJ4UKos3lMUq821R1G97gqvPXDHe+J0SlgDVkvmBRjwpiZ9mq+1FlKP6e//BpoZDDZo0enfaNalblBbYRg90FlX0dmOGQNtCsivgA/k5Vf7hJwVY659rARR1xTNxa19NmS3dW/QhtDARkrYu1xK0wuqSKqjvfWmlLPKkjOokiZ8mjOlhuSbNi1KrJnWL0gIbD6B5oxV6r0Ng1euAvuJKtS1FSgCP4nq8tatJZF9G1q7j83+/zwFHdf79/f1oSbgtV/b33/H4M7gkRDB4kViYCGmoswDr9QhmDsL9TnBq/+bn+HGRJ6XGqmPOhKsoFxqbRmseUTr+fQBSTW5HlNo1qVuUFtjGEF5MFSXsM1qvztfXcjziRQgJcD3TW6dpTvIcoIydfQoUBaocFwDIKxQFLkCRVPB8QYOeAwzn7NH8SGJfRmtz7uxUvAYcz1f5+yMKFJ3hUhVFXohrFeHVHhSCoUrvHamF+WSF9hXazV/toB9F96rsSbmxZxISz6MivOYYWtWYutamItLkaqK0rUkTojTCWk+vWgifpl8Ia0xjKCnesz4DAB6D1300+aDsxjm/M4KUv1YrPe/vWY+8DNglDYnIGAVi1n5fal/Mo/l56IUASs55CN9/vXzSmzFdUnLjnN8+TzSFk6q702QGLLQZn8lVeqSzVHDeBNoetDVbaNCPontV9uSAsVaUaT45VjS2RGtTEWhyNVHa1qR+URpiswG09DvvleQzEnrEYRj2Jl6U9L1QwX/OyrjfyLuBeL58zgZJBVIoAXitd4fsC0kbrRENSw54nJc+e/CyNYGNdW72s5TuqVXZpOqOfIYstBlVXep53aXWy7T6aM4OHPKj5F5VPTlkTBpA1Ywt0dpU+ppcS5T2NalflKbYagAVrNC9YHi+b/yp3sf7VVDLhwHh64q0v+z41l04Nt9+2NBqyTkHAl7SgHOettagsc6KNP/1e07HL9/8BQ9YaDOoupAxCtCg8ytfptWg8UNTqEdlT1o0tkRrU+lpcnOiNKNJM6I0xVYfIv3lYXeyx9hxMtknJ+O9M3CN7BEF8vc2Bf3sdw4ErVSTgv1GtokABUBxpjFeL5sFaeaOsgRPQwkwlM3q5JuGLMwgyipCkV//fkUuUSO7ot6/XMmPap60aWyJ1qbS0+TmRGlGk0ZEaYyNBtBz5r0eqOTn4+u98ckxn80fxZn793w4rye667UzW07NfpMCYGfE75fS7yUg/qsI8ZCF/s9kqoUBqkt5T+9lCBTazoiuTgg+kyOW+3HGfVo1pqy1qfQ0uT1RGtGkEVGaY80Aev55A0SN10ARfRq+Q9RoxwblQpEdrs86TYVV1/jvVtVXf9cKrcelSvbbZCBFdnm9lLfF1fX5K4lO3twDLgYtyH3bhIQEALmEaMzzFvMjQPjFc0E/T081+HGyJ60aU9aawGLbp69pQ31N7kKUGjQ5R5QbYJs90Ogz06RqVcOgVgKK4vT7+xfJFCsRTHLw/U5rqWS/TQH6FxMAqPLBth4U1fX3ernPba8nWpjCxQMKPa19dKX1MwcNfpx+nzaNqWptKgJN7kKUGjWpU5QGWXMeaO3gqH3U1rsFxGsu3OvdkTEBSY85UBTJmXXnh76+IPy3PLmTQ3u0pGa/nRPKkQXPexrsNuVAfqxYd670FAYtSH0rxo/GlslNnP19PdN63YyqH5U8adWYotZEeO0kIwOEmtyHKHVqcoIoN8CqAfTj0QitNUVJ7fwc9K3FrE7YiyH3a5ZVALLjjMVv9IaiYWWB/WaKuyo+6fe8rfG89evKAHpRmmwttwAM+FbMeAmmdSeyUyN+KvtRyZNWjSlqTYQnqB2BJnchSq2atHba0iI2OYTP6nFJUbsxn7CtzK183AKCfN5BWUmnspXst+WS4bNOP+tJqR50VQVYMEkovZ/JoIW5CH6EKgva8z8St3+IKvWo5Em7xqCstal0NblFUZrVpC5RmmWTAbRxWGpWuzEhg4vW8Nwiy/PjB8V11qPPbmupZN9D83lBfcluMqh1lPaCFI/cwiSq1rLivL0MGVBq//MjWptBqNWjmiftGlPX2lR6Pbg9iHKhJo2I0jCbDKCNDV3ql0kx0irmb++TlMybO1LXe3RVtu95ba2SV9egmwxqPQGo1B83yC1Mojg200sVoL7l5KdEnfipWI9qnrRrTF1rU+lqcheiXKhJE6I0zSYDaE1jk63zaNrks6FMt90ao3hXdpF0BkQy+2fBuI01N4vJPg1w3pZShmbWKm/ou5qXMJdamAb1osZfSfdZhgLVXyd+NphVj0qetGxMWWtTkWtyw6JcqEkDojTOJgMoeT99q2qtRNXo3ixFYwAws/ZezfjpmToftX+Nov7GWqyhu0bCKgcYimPW/LP5P+8BU3KYqVWZhYmwxtAzKoj4YfIMqmNxo6iyN4VyPSp50q6xJVqbSluTexDlYk1qF6UF1l5LyjnvrY0N3rv5+HivxY27e7P0YZ9lxyV5bRcRttYnv7el6R0BQ1/7xgThRPsPIjppm9S7JzRMALiF9aYQfuuorAdem0GkjA2f3nRDZ+cbqYUOsgXEMej7Hu6k490QM46Fe1J2w0ioWo9cyZN2jalrbSpdTW5RlNo1qVuUFthkAC0JvJLzMkBIQO6cl2Fvb5Y+DCQoOee8DMiDc35PbwQI0zvn9zQmgJ+m5etdP00b0ogB+uA3+t43Qc0+D+utd2i9lRfQOCedl51zDEMAQRhSMro9DdqbM0gtdJGJNQVI+OCcP8L3SYgffMz93ffiJ0JlP6p50qoxda1NpavJLYpSuyY1i9IGmwyg/MFAGCPszmMCwpgXTpAgo2XoBWEYkODB+XNjRkIA9t6jEUDafFkTAACpmzcl+/zx2bqmbGyZRpoX7h1MXj4TXMHg+facP8Xa2IZNbqGLVKzPbAUj/Y1VOZut1f48+5Cr+lHNk1aNLdCamHva/U5XkxsUpX5N6hWlDX54T/mboMhzSj0ARSba2l9EwgiqPAOj8zMneQLaOjtGwT5wupLX9uFZ/R951fzvQ07vHdN5ManEPwBrhCmphenkWVEA1O/n8I4ZUGrJPyn5UdGTFo0t0VqfKrpWAPywVRM9TW5PlPo1aUWUWlk7gqsRbm9jQM55OboBeTqpERXeHaD7DG45zJYwZPWoy5PrGZvB4xMslDdfHsCkKG1qcqPnwm+wSBOIt9iZ55xfQIaHVWzKlrDiu6MW9QOo7wM8B3k96vHkesbmEILeeHmjGCuGGgZFaVOT1kQ5j30GUPEDR4v2exmrF8GwFuPuHuPiqwvvzmYDbKtnMVCPWjy5nrE5hM9n9iVd9JRZqkmDorTaKbTa3Z3MPgPoutw8AGCiR6AlHeoal0vifojh88M08sD6hycY9OTKxnqwV8fqtsDrA5o0eHcWNbkJUQrY5ET6bXP6KzxGkB0EB4WTlP7Jpx7/IVXfDaG9rNkoBdZfdWzQkysb60FfS42mHD8iYUiTBu/OoiY3IUoBLoDOpbrS9JGWF+Ak+JSknnQX7XMuXeo4AQ/WdkesYGx5zXTMeXJtY10aJ7srhrJhTZq7O4ua3IYoBazdBd4dt1dKPpA8kyils5vln0wC1oYw4TZ0YcyTqxsTc2uvdprznyOaNHZ39jS5FVF22WcPtMjmLrLVR/46qUa2DyORNpPyTybRO4TSGAv2iJrFSDVq9uSwNWPVNp3rpH3aRYxp0tjd2dOkNVHOZI8BNPn9PR5/1jqxz6tVaq5CRfdGbeZALWjVbjWuK5opnDMyvvWJmH9Ak5ZEOZ+1u8DzCQCPEZiZdjyd2NjgpYw90XyN2FptwcauDXarcSOiGaC3NFXpGl+rSTuinM/+AmgJmnLOL6i3mVmlGEJBaeAeEPGEtweUc2QzSwALk1PsVuNGRDPAXUN8+GJN2hGlAvsbwmckZQDCoHMAgF2SA5t4TuU8isMhC8VDFc9bdATIdPKnLbPYrcZtiGaA/Ihg6fbr36xJO6JUYH8BdDRhbp7zz89fkZ1M/BQJiR+hZB+GBfMEZ1HYcK7datyAaAbJj1WgmgB98uWatCNKBfYXQK0kzEe4pOmluh6v49+cC0nl/ZDW8QwG0XCg4jh2q3ELohlgefz8dk3aEaUKa+cQlDGXMJ/GnRhLyoSSRb9evWGtQUqriUK71bi2aMSUFMH4tybwtZq0LMoZ7K8H+qKK2Oh5YUahQet4Lxv4Vpr7zOZhiHarcXXRCKmOOVva/3zytZq0K8o57DWAmkqYz8D+iMJaALWWbbJbjRsQjYDqmJMgy7LkfD6fF4a/b9WkVVHO4n9rF0CFcwQgO/mrJ0Usb25AaZ7o6aoMkYDayRParcbNiKZLlKP6LFVni/tZX6lJe6Kcyz57oOYS5qNkzZOrbTeKASrRdjtaSSprgyW71biiaAzz9Zq0Kcq5rJ2EVcZgwnyI22d771BT5r+PLGHPuWfM5oegfUKjaexW40qiMczXa9K2KGewzx4osErCHABY9Wruiyu1/0AixNXw5g1VgnD8W/qwW40ricYw365J66KcwX4D6ErTwogXnSsA1wNN7e/vGngwPF5KKs/uYMluNW4uA6qDb9ekfVFOZ8cBFOvsUM0Q/fd7/IkuK2gVCBGNf2kJ0QptvV1HbnBb86V8uSZXEeVEdhdAV02YA0D8iEOfpo91msSAFUaHoNdi+XPgKditxtVFY5jv1qQ1Uaqwu2lMVRS8WtkMwSq7C6w7mrgcIpP2I9hJotmtxvVFY5iv1qQ1Uaqwux7ougnz9aFhYXDAFBWSbXd0Y7ca/3XRGMasJu2JUom1pwHMxkNYcs5jwmyswV0FH3TgU0qM3XhJhgxrxW41/gOiMcxqmrQpSgV21wNdOWFugzxDPvBc82Zu7VyGm6lLd7Fbjd8vGsOsp0mbolTgh69dgtkUWQGwr5yPAiA7vl+lsltMzD0GMXjpLnar8btFY5h1NWlTlPPZYQB1OByObbC/IbzD4XBsBBdAHQ6HQxEXQB0Oh0MRF0AdDodDERdAHQ6HQxEXQB0Oh0MRF0AdDodDERdAHQ6HQxEXQB0Oh0MRF0AdDodDERdAHQ6HQxEXQB0Oh0MRF0AdDodDkf8HY3IctGZ6/gUAAAAASUVORK5CYII="
\begin{array} { r l } { \mathcal { \ell } T _ { \overset { . } { 1 } \overset { . } { 3 } } ^ { 2 } } & { = 0 = \widehat { \omega } _ { \overset { . } { 1 } } ^ { 1 } \left ( n \right ) \sin \mathcal { \ell } \omega _ { \overset { . } { 1 } } \left ( n \right ) e _ { \overset { . } { 3 } } ^ { 3 } \left ( n + \overset { . } { 1 } \right ) + 2 \widehat { \omega } _ { \overset { . } { 1 } } ^ { 2 } \left ( n \right ) \widehat { \omega } _ { \overset { . } { 1 } } ^ { 3 } \left ( n \right ) \sin ^ { 2 } \frac { 1 } { 2 } \mathcal { \ell } \omega _ { \overset { . } { 1 } } \left ( n \right ) e _ { \overset { . } { 3 } } ^ { 3 } \left ( n + \overset { . } { 1 } \right ) } \\ & { + \widehat { \omega } _ { \overset { . } { 3 } } ^ { 3 } \sin \mathcal { \ell } \omega _ { \overset { . } { 3 } } \left ( n \right ) e _ { \overset { . } { 1 } } ^ { 1 } \left ( n + \overset { . } { 3 } \right ) - 2 \widehat { \omega } _ { \overset { . } { 3 } } ^ { 1 } \left ( n \right ) \widehat { \omega } _ { \overset { . } { 3 } } ^ { 2 } \left ( n \right ) \sin ^ { 2 } \frac { 1 } { 2 } \mathcal { \ell } \omega _ { \overset { . } { 3 } } \left ( n \right ) e _ { \overset { . } { 1 } } ^ { 1 } \left ( n + \overset { . } { 3 } \right ) } \end{array}
"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"
3 0 0 n m
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAwUlEQVR4nN2SzRXCIBCEJz4boIW0QAvaQkpIC7EELUFKiCWEEqAEKAFKGA8+w08wnnVvs3wPZnbpiP06fDn/DeBYSv+w/bVssayAuWzUwIJQNmoPvhc7HryClzsplDoJ3dcx0mvzSBJLZSoDekOa2nQGLILkKGsgedASsLb2mJn0ElELCUDbJhCjvoxaKFh9Ow+NFBOmQEyBjpxTlgQER/I1Z5PtYxOLpLm357BedSXdqrrttx/gI9xbNYDPy/pj4An+hSypUuQTxwAAAABJRU5ErkJggg=="
d _ { z }
"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"
v ^ { \prime } = 1 - \frac { v _ { 3 } ^ { 2 } } { v _ { d } ^ { 2 } + v _ { u } ^ { 2 } + v _ { 3 } ^ { 2 } } ~ ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA3UlEQVR4nOWTQXHDMBBFX8rAFERhC8EURMEUEgg1BBtCBEGiIAgWBBvC78GW0zid+tyJDpqd3Tc7O2+li/j7fJzU/zOQPpc9liRdGz2diXsNtw723MH5dDKDD2cA4wsQAnDLUG5Al16APkPqgTEDPixHILdQMEgGmIUDUHAblD2AHw/AApANemcATS2solqJu0RU3By5YRX1ADqbIvPQdJKk2MxHYG4B3Nea7zodAWk2P23peV/GT5NNMVetOf+L6rLsOxtrvQIFINFWaXkH1hmm+LglaWB/Gpf3+DjfkHHGyS/RTk8AAAAASUVORK5CYII="
| \psi \rangle
"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"
\int _ { d - h } ^ { S } \sqrt { g } d E
"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"
r \times r
"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"
Q = \frac { 1 } { 4 \pi } \int \mathbf { S } \cdot \left ( \partial _ { x } \mathbf { S } \times \partial _ { y } \mathbf { S } \right ) d x d y ,
"iVBORw0KGgoAAAANSUhEUgAAAEAAAAAgCAAAAACH9iFYAAAB/klEQVR4nIWVbZG0MAyAn715DcRCLdQCJwELrAROAha6EkACKwEkFAkgofeDlqYsL5eZndkm9EnafPQRUDLPC1BZ4ULe8wbG2pM6HLK2JinrPpxkbJJN2lUbHkcEw3ODyrLsUTijvGzPAagNLANI1yhbIrWZ7QSQKXuZBIjGtQaabEuATm+ZBJC1WLpjS1OsIsCLVgaHdmNLn8GA+BOgBdTdrJAVDsArgNNAspNRfVORFRaolG3HJ+JXLADgZzsnHoBlBorkiwWGuIgAAeYXV7J8qiS6VID6ynl1CSzCOwCdBZvLY8efi/aQLf4A/sWgxoE6d8AAUMkRL+X1zHoRLmQVgNQPAhht7vXGS0ALKnMNXOT4DjCBrjUvgMll5vbLuQFY+Cxsmwi9mP4e0AC0WuMApPUhhL5BpvEWUDbSLqMaDtaH2wiu9ocQ+kYApHYhXvJ/ANNH/CqOMd5DqxJ7AjhAXPhDKqC+BDjAHINp7IrxmUVPqALQAE3eZIoxksVDHj8K4C2Imud9OqeT8lY6PidSCKGTwn1YTfqqnKkhGNSISwBfgdEF7+2xq+iMPQc5oviw/Lw2RD0X8zYDfq+f7zfYKZleT6jGcztzJSnVXoAuHqwFKnXSGMHjCtC4+Gd5vkFq2V822k5/dROBbshjPu499RHB37K9Z0Cq86D8BRHhQEJXK2qnAAAAAElFTkSuQmCC"
2 9
"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"
k _ { 2 }
"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"
I _ { \mathrm { t h } } / I _ { \mathrm { s w } }
"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"
\begin{array} { r l r } { M } & { = } & { \frac { M _ { F } } { M _ { F 0 } } = 1 + \frac { \Delta M _ { F } } { M _ { F 0 } } } \\ & { } & { \mathrm = 1 + \frac { \Delta M _ { F , A d v e c t i o n } } { M _ { F 0 } } + \frac { \Delta M _ { F , P G F } } { M _ { F 0 } } + \frac { \Delta M _ { F , E n t r a i n m e n t } } { M _ { F 0 } } } \end{array}
"iVBORw0KGgoAAAANSUhEUgAAAMAAAABACAAAAABpBycDAAAEWUlEQVR4nO1a27WqOhSd+47bQG4Ja5cQS4glYAnsEqAEKcGUICWQEkgJpgRTQu4HgoQE5eVx7DOcPwYCy8ysR2aiXw6/G/+8ewBr8SHwbnwIvBsfAu/GX0jAvmEUKxASKDZmoItt7Q0QENCabWTaNDPBy5f6NCCQZ9sYVj/fumml+TYW4xgS0EZsYndXdo5MSrOJyTiGBGSy3JZS93Z16iaCJXK5zacYELDlDALSoot0wCfQTyRRLhraNAwIlOBT31T7Hw2Y7+fTK4yePa7JGBBQ0zOAnRkAwvM3GH+hC/71L1U6+U0ODkAljcu0BSwUwCIu5Cq8txV8AtrOrUHy1HyWGjAwAI8QIGm3WlwC+AQUaN7rMruN7AggxzH+FIfepjhH4OeAnUlATst5wutiyCeg542/tA9TpiuwhNctZYMc6CbUKp08n91x2WGkRq7FLXLY6+TQl3cu9CWqW6swzNBISM/HXj04fpLi5ndlHjrUmFiF8zyg7yGdAdjpyavaCkjTxq044AGDHFTiHFYz10OFrH+ZeVdrIHAZ66ro2rWvrB41kaXOXSkc0awtpVpaTPh4FufZfVLZA+Utk7gs9AgMJEugYBYT6JkoAeAusJVOAEBJaAmkakw1KUsAyAYT4eVAr1Zoy5laIa1HUOjyQpDFsY17xRlgCynEXqQgVvL2+28P3BLXgAAQzLDQD7TQDfZgkpJN0GlzkeE/Q1JfuhuaATBHTfJEAHjrgbJt8JbACKIE7B41w0702QZqTU+q7e0cdA9zbXC696sMAIehzJ/ayRU8SqAwNYPRp/69QK3lkxKirf+6DUeukhSAPSikxy5/DU3UAEEZjRIoEwIK7hXlQK1VmIPeipICgOKV2VEGMgCgggVAtjFDTY8omq1KsDJFy6gRgJFHANBhLVqEdub0bWA2BaUaIAsASrDBc0M0cipSVqIeIAZ7yASgpUny64pxD2Hz7AdA4wYtAFEAPQ2mWhcPPUKiTJuMycuqH26eB9qOs8z34giAC2IXbIjDibp6Im0GJFbjvpMNQ6nD0eTqIBLvFAHAQynhNlMTKarG3NG5W9Od+dU559LMOdeqiTR9YKSqYnrkCQExLk7m4KaFKu6cE4m7OOdqaoZz6WmhC7vG3n4Ij0AdEKDZBqMQzddQ5Zw7g9fO1VQ7d7065073WU8WTBf8K+H31oPrpRDMOedc1bsDAE00ndrIqM8LTPsE2KoBVydXn6I96+w+hL8O8BV7V5sflNnHl2c787BjBvx1YM0J1F2RhV2j69N6+AQIy3eREUXWwrxA17YYhNCq849RRab+HAFaoXzGl1H7wsOBgZgTawiIsUifceY9GxsSGE0fa7bfm3YYEEhWnGKOznNJfy6EkC4ncB0jMONHh/n4Gpz5md2W8h8AYL8vr1sGAg/Q9j8pFukLxx9uKbPNj/LVRj+dxxEQINr6vxIvdUCQA78Of+H/hX4ZPgTejQ+Bd+ND4N34H1/MbqJ7Fu1pAAAAAElFTkSuQmCC"
\left ( \partial _ { r } + \frac { \nu + 1 } { r } \right ) \chi _ { 2 } ( r ) = 0 .
"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"
\mathrm { ~ M ~ } _ { \mathrm { ~ w ~ } }
"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"
\cdot x _ { 1 } = 7 , x _ { 2 } = - 6 i - 6 < x < 7
"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"
s \le \lambda
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAvklEQVR4nO2SUQ0CMRBEHwQDtVALtVALRUKRcBqQcEjoSaASQMIhoUgYPiC0Rxrgm7Bfm9mX2e6kK/G+1h/mvwlc97szcG0ktXU0ECSNw1NaOEzbGDgDue8wmySBNJvyFFvAO0kWKaQqbqpXziNgLxkTuisiRZInudLYVqDgJGnAndrD6hUT/t541w8q8xi0KS0BAxwyl2W49TVIGuPxJdwWKGWImiFpjl3AMUiy4O2pC9gkSQlCE8Tq/+2/A25FsADqZ49Y8QAAAABJRU5ErkJggg=="
\alpha
"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"
{ } ^ { 7 } F _ { 0 } - { } ^ { 5 } D _ { 0 }
"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"
\alpha _ { \mathrm { e f f } } ( E )
"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"
\left ( N _ { x } , N _ { y } , N _ { \theta } , N _ { \xi } , N _ { v } \right ) = ( 1 3 4 4 , 2 8 8 , 2 4 , 1 8 , 8 )
"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"
\begin{array} { r l r } { \frac { d \epsilon _ { i } } { d t } } & { { } = } & { ( i ^ { * } + \epsilon _ { i } ) \big ( a \epsilon _ { i } - b \epsilon _ { r } - { \epsilon _ { i } } ^ { 2 } u + \epsilon _ { i } \epsilon _ { r } u \big ) , \mathrm { ~ a ~ n ~ d ~ } } \\ { \frac { d \epsilon _ { r } } { d t } } & { { } = } & { \left ( \epsilon _ { i } \alpha p _ { r } - \epsilon _ { r } l _ { i } \right ) , } \end{array}
"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"
E ( \mathbf { x , } t ) \equiv \exp \left ( - \frac { x _ { 1 } ^ { 2 } } { 2 \lambda _ { 1 } ^ { 2 } } - \frac { x _ { 2 } ^ { 2 } } { 2 \lambda _ { 2 } ^ { 2 } } - \frac { t ^ { 2 } } { 2 \tau _ { c } ^ { 2 } } \right ) ,
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAA5klEQVR4nMWTUXHDMAyGP/dKQBRCIRREwYOQQQiFDEIKIYbgQEggrBASCNpDk3Vu7fSld9OLzv4/y7+sszOO4/RCfx/gfmN8AM4AzETWMaxaiz6WMDOzXq0X6RZ7DrbcI1NGvgNCm9V3IEK+gG1dVHAt9Hn30MUjD1MLaBFYPFUXv//sL/sKM7OlpknPDdXeFWZmHp/Ik9Z+B04AgSYxPvqpSmeBJED7PM218AgboFyKwBlg+AhOEW1KgMR1Zg2f164AgCh4N5c83OKLunQFQBgv2h4Bsww+o+OyP8vdkhWBvMl/A34A5aUdHk+2yYgAAAAASUVORK5CYII="
\xi _ { 1 }
"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"
n _ { f }
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAAAZUlEQVR4nGP8z4AfMBGQH1VAnoJZynsYKkxwK6jYc4+hs1MQ1Yj/yGAVw93yd7tRhFAVlBuX/0cDqApCGe7iV6CUhi7/H8WR7++5YPoT1Y3v8JtwVkkQwwAUBaux2MA4mmjppQAAmzaiGGVrHdUAAAAASUVORK5CYII="
r
"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"
T _ { S m , S m } ^ { \pm , \pm }
"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"
f ^ { \mu } = x ^ { \mu } { \mathcal { L } } .
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABBklEQVR4nN2TUXHEIBRFz3bWwLOABSzEQixkJVALkbCRsJUAFiJhkZBIuP0AQjrtdH87fT8wcLjcdxku4vd6e7H/J4Ar8L4C8DAg38rILQOxKJhPCe8NYE6p4OaTeQBJEgySJG0GsUzvPCWpeLB247xDLtNlchwKQ1XYLECQJMUioAaUMdjWgGHSCRgLsFkQjGeB6sHBDnwQ8OwAc3XQg1qBebLqN6fxS5JlddkDQALmYWgnq2UekpskBZCeLYzmAVhZcjji6ALXZrInQ3JL5Buwp/UB4IHFHwK9i1wbM8jLRK9ixWE1mQjm1KsCw/GeAu4/AvEAzgKtTU9vjHBywOVffJyXwCddK/GRWEGYYAAAAABJRU5ErkJggg=="
W
"iVBORw0KGgoAAAANSUhEUgAAACAAAAAgCAAAAABWESUoAAABAUlEQVR4nO2SzXXDIBCEx3pugBZogRZwCWqBFkgJtKAW5BJECVIJuAQo4csBYTuXJOe8zGVnltnH8HNB32P6Yf3vGHJ+DHWc9MiS9HFI0m6dVwCgetNpNNYBFkA2QTERILjKrgXMVs3OGgCuLUo2HJKk1cj5h3Lzck3ZS9K0vfIsVmqHHTLPkiQA5h6CurgAqFSVrfcEsKl0wya79pCRuLKngoBqIwOLWYBSwLIab4qgusAL0fS6z/iFOU1qN6W3m/Ot17tXtrLt2m7azJshn+K+nw3nKlQPkDZqUhw7MCfcOgYBnCSbzigL7EahH/OJ+mRu0K/P/QzT/KCX/2//O8MnA3L2nenN1r4AAAAASUVORK5CYII="
2 3 \%
"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"
\boldsymbol { \beta } = \bigl [ \begin{array} { l l } { 0 . 8 5 } & { 0 . 0 0 } \\ { 0 . 0 0 } & { 0 . 8 8 } \end{array} \bigr ] , \boldsymbol { \epsilon } _ { t } \sim \bigl [ \begin{array} { l l } { 1 . 0 0 } & { 0 . 1 0 } \\ { 0 . 1 0 } & { 1 . 5 0 } \end{array} \bigr ]
"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"
y _ { i n i t i a l } ^ { + } = 1 5 , 3 0 , 5 0
"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"
\begin{array} { r l } { \dot { o } _ { i } ( t ) } & { { } = \sum _ { j \in \mathcal { N } _ { i } } a _ { i j } ( o _ { j } ( t ) - o _ { i } ( t ) ) + a _ { i j } ( x _ { j } ( t ) - o _ { i } ( t ) ) , } \\ { \dot { s } _ { i } ( t ) } & { { } = \delta _ { i } v _ { i } ( t ) - s _ { i } ( t ) \sum _ { j \in \mathcal { N } _ { i } } [ \beta _ { i j } x _ { j } ( t ) + \eta _ { i j } ( t ) v _ { j } ( t ) ] + \omega _ { i } r _ { i } ( t ) , } \\ { \dot { x } _ { i } ( t ) } & { { } = s _ { i } ( t ) \sum _ { j \in \mathcal { N } _ { i } } \beta _ { i j } x _ { j } ( t ) - \gamma _ { i } x _ { i } ( t ) , } \\ { \dot { r } _ { i } ( t ) } & { { } = \gamma _ { i } x _ { i } ( t ) - \omega _ { i } r _ { i } ( t ) - r _ { i } ( t ) \sum _ { j \in \mathcal { N } _ { i } } \eta _ { i j } ( t ) v _ { j } ( t ) , } \\ { \dot { v } _ { i } ( t ) } & { { } = ( s _ { i } ( t ) + r _ { i } ( t ) ) \sum _ { j \in \mathcal { N } _ { i } } \eta _ { i j } ( t ) v _ { j } ( t ) - \delta _ { i } v _ { i } ( t ) , } \end{array}