основному уравнению
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jKjAuKrQAAo2NfwOMNkBUL2yqmj2/r7+1uX+5/t1+rxxkpzFDk8TYswQLxcFAotgIAjI53PkL8xtYGWFI+Vg/tFATMX7+0Gevf1V0zRig+Y+g6LD7Y/XqPrcyooNgKADA2Sv6Z+BBbG2BNYyvAdNlWvmH7SA0wx3MLPiWGnNiQUGwFABgbX/wrEg1QBsTushWgeN5cG6e2T42lgmeMaTd4qV8I7AQMCcVWAICxwfcATjE2DInTVoDJ683UvnVj1yAigBvwlkDYCRgQiq0AACODFz/H9PDA+CSavdvkqf09sI9aekQEcJ1LZcx/N6zAxolwUGwFABgZKx4AIAVwYLx9Wo7l5ZI/Z0QA10EaYBwotgIAjAyeAngfWxngj8Zmj5fY2qTNH0sDnMdWZkRQbAUAGBebaq7z3x9sEcsZ/llLH7G1SRu+cwLdMYNBsRUAYFw8M09XoOpJ1qx4HgB6A11jzW7Vc2xlxgPFVgCAUdGoAoiE58zh0d4ENQGvsJ+wuBgJE6Gg2AoAMCoa08L4KMyccs6e9sx+vkerKOxCMZlO5/O7xePL6mO9+R3IaMqbAqM4RigotgIAjIp7quc6UQQge7bnCZ/CaWq77DP+a8welh+b5BebeEegx9jKjAaKrQAAY+KPe2ZkhudPYyvAl+VJP6IBwInp4/s25YCzPJdOOmbHJh+u5ALFVgCAMdEYD5DtnD/lgg/CljVuGutEgkwe3tK1OV43AbtjAkGxFQBgTNwzL4e2J2Ngw0dgy7ntRg0hYaYv32naHZ/2QIusQFBsBQAYEWwFoEAZ4HHwyPsC2X3afi8f53y3iHQMsExyQwLPfEQ54DBQbAUAGBGXFYCjd093NhYI8svzAKfWq9vl79f7y/2ULjWj7P/YsPhMb5mdz3ugbFIYKLYCAIwIvgKAPQAjgW9wo5Xjyfufz9enOw/TAZNVaiHAcR/AOYrBGkAYKLYCAIwH7AEYI7zXLRW7LiI+XYZ22xmB4jWtEKBkymIfQBgotgIAjIePykETqgCNBz7v063O7ath/NZXkMr932633azfX18eWAWi9kBg8pbULBSfKrHdMQl6QbEVAGA8PHDnm5TvBR5Z3xi4b/NAOje+kcvfr7fHRkVBUxAwSykM5fMc6AcQBIqtAACjgc9xog/AeCgn/EO8y/L2tPEpfzSjmdWJu/ULr0ZsiAKe0km45ytkiI+DQLEVAGA0fHM/jHrn4+GlMeS678HbG77d7eOI37e75qnNIGCazmz7gmm3ia3MKKDYCgAwGhr1XZDlNB4axYA6zG43zz/x6iJgt5oaRFxYpvK1/db194GOUGwFABgNc/b9dR9bGRCOsjH8um8EaBSQPuM4g1SuF83z+TTAfSLLAFum3Dy2MqOAYisAwFj45f73LbY2ICDNNQDnj9vm6SfcFxI2C4OYE7NESgOiGGBgKLYCAIyFxndcIh4XBOGL+G68ievyz6L6Zq+EFF2m7T9n1LIjcJLGkjuPdNAQKAAUWwEAxgLfy4UygKNCyeJ7dzx9oo/Yd530KF+bw38dlBRJRAB8wyQ2AgaAYisAwEhgmwALbAIcGc3Z94XbyTvDJ3tXA9rMqpG/SZFCRYA/ptw0tjJjgGIrAMBIqNqdFpjfHB1KKb9fp5O/DAFA5xyS/ZNB2oFJCs2peNECt5sEukCxFQBgJPA9TshwGhl1CYjj5+3K6eSVYbju8b1u2lNw/OTu1KZAFp4EgI6A/qHYCgAwEngKQLcVXDBY/qhRk9+ujN+Fpzp0qGT0iSA/izoU4dzFr03BkwAeYyszAii2AgCMg0YdYHQCHBtKIR6n6fZmMd8jk17K1GsKzUZB8TNTdkwxVAP2D8VWAIBx8MNcLnqdjY7H5gDuEgGW+vjft47Ud0ub4PipKXMWkSAJwDsUWwEAxkFj5RUpAGNDyQJ0WQPYks6ypzpqHsB5zHUvUijNM1MKSQDeodgKADAO+CcgypyOjmZLYKev208+REuNjabigpRAhWpUAggKxVYAgHHAi7kgBWB0qJ/xDiM4mzyolux7b9kr77Wg4kjsRQBe8wBxsncotgIAjILf2oM7N3IBw2fPvuIP/3BIcefbRy70z9ffXSJSpTlw7J0AaAcQEoqtAACjoDEFDMc2PpTx1iHF3dDJV+LbWCsHcNIsdhveJ3aTUihOmDcUWwEARsESU5vj5k4Zbq0n8ZU+AkcktsiXrDwxmwWYRI5O35lOsYOR/KHYCgAwCngx+PjbrUFwlH2A9sUAN/og7VhJsIWteS9g3w0GPdkwVaKnJGYPxVYAgDHQKAPk2gwOZMBSGWetP+L5VP0lCVAmieSZTDg3K5aFT3j0K3cEbkOxFQBgDFRJ4Af3nULXFRCYlfIVb10JwLRhT6ZEzq+i0pnOfYZk4Gsl0csS5A7FVgCAMfDJP+NQ4nSE8LXt4x/bD+1mJ2FRC+KNAeuiwJFTVJ5YVIKKmZ6h2AoAMAb4Zxw6AY0RtRIQbSxPNKzUS1nQZV5KuYStZn7gSx6rqJqMAIqtAABjYMEcLcoAjZFvUrDMBOHtcS6IlcgzlRiIXYGPJz0+RNVkBFBsBQAYA/wbK3axNRCDn47D7Bc/5zxPL5ZF+qkqdSRuGz6eBejWNhk4Q7EVAGAE8AKnaHI2Sn7Vz3jLefyVYYQWK5BjqjEgKb8TPAsQJbP8QrEVAGAE8Plf5ACOkjoGPH/GF3bn8UQ9+WHxkRoFis//GneRiv9i1AL0C8VWAIAR8MZ82iK2MiAGf9owbrcNYF4PzxemclpVqYmNPMC4+wDemT4omeEXiq0AACPgmX1iocnpKNEDgK3NaaVhAkCwQJ5hDeBgplH33/NagJHLEmYPxVYAgBHA93Ljo2aU6EOt1fR2o43wOYSUHBXnhgAjcrtKnjCDYsB+odgKADACJsynxd1lDSJRVkP4hQ+b00x5+pLbSEx1BmN/eLPGiYKrHcAAxVYAgPxpbAKI3XAdRKGey79k261sTlNbCByQLCX92YxKzv8aN0+FbwPA2+IViq0AAPnDNwFga/M40ZcArJJBHhoxwwnJbSS/xhkAyx0KnqgyZsgyUQJ0hWIrAED+fLDPK4lW7mB46EmAVmXupvroLJujP6ltk80ERM0CXLEfi6pZXqHYCgCQP6/Mo73GVgZEobEMdMQmwU0NGw5j9JOoXnoW4OEaUfff87YJq5iK5A/FVgCA/HlkHs0q9Qtkx289up6xWWjnW+L8jImPhitEtlK+80E22gEKFFsBAPKHZzVJZnCB4cB6AZyn222m8nlrvAuyPXLN2wCizlNV+ZJF7HTE7KHYCgCQP3wXIKqbjxOtGZBVOuhLI2Q4IdtLQgkxzleJW61qVv9a7AP0CsVWAIDs2TPfOomtDIiD1g7YamxbaGdJW9BajzAodgEe3qUYnTN8QrEVACB7+JompjTz4m/99ryYTydUTGbzh+XHpm3AarT1tR7Ji+YphbwF6TMT8c2UFz9A70yfUGwFAMge7vuR1JQP5dfSkEP/8G7cQ1d/aVdH3r6CvnVAfHbeEAAUsatV8GUJFM70CcVWAIDs4f5sFVsZIMTv0rBH/8TDlz4PUBtBNd1++xr6tIF4LwlzJaC4K1Vf1X1CIQC/UGwFAMie19qdxW2zAsTYmrfPXZi+qyHASjvGYgbgchJfohf+JG5MMlQTFHEDAL5mtoqqSe5QmMuUm9XTw92sKKbzxdP7BvWdwTDpZsjPzMFiF2AO7J6uDv/HEOCjGQLo2+0sBllTlCHsPf+0CMMyOPEIL3/0hGLAHqEA19i9PSipLPSwRm4nGBqdDZknNUetsQpk+FDtwMi88a2uj+UW6+xaikEhvi+u1C9xQPgqjjTub1xV8oa8X2FrjpUnK4QAYEh0N+SSufECZj94dvfXhn3OM/taX7DR9cTtAEAbnMmyg4ALRs3jzgAcCgHUtyuuKnlDnuVvHozmdTR/2YJWAHikjyE3Dg6iLfDIZtJiCAYmdcrHrPrLy3T73c1L/dSjYMVS+OeYgozoAcA9/91xVckb8iq9NDWzrnnzenEApOhnyPzQuAVWQH8+jOOl8qemmgTQVw1u77X/1C4gnxWvtyk+ELleVWO2La4qeUM+hW/1TbJNlpgPBQOgpyFzJx63xCroTSMU1Md7ndkpE8DwoX07GDTFndI5cfvGL7n8msgBAG+fSXFVyRvyKNvUx0JBeEsrAB7oa8j8QDQDHjZXpoKKxXK93e3Lv933+zMvEXDMEjFst7+9mm9YdxJPItFnAA5BQOQS/I1XLq4qeUP+RK+u+MvK1LDFA6ROb0PmB6IZ8KAxt847sHhvdnnaLutUgYd9VXCPzxc83rycodKQTQtBJ0zFBj1cxo1GAaS4quQNeZPMJ3HaZ8qwJAoSp78h8+O+g+kN5GnMTDd65xjKO5Qf1fg9++FD2sWKXm5d7k+7jodS0lsyEbllxZbfqLiq5A35EvxqsipDqgxaPYCkETBkPl6gDtCAaVsLmrcU59uvLoN38WnIHVzdut7GYHDimdPmZkDimw3daExLxFUlb8iTXItl0xNYEwUpI2HI/DDUARoufF66YP+8kgK6vbucMCONm8tBJuMT3zz9Xf8QFs9G7lnVSJmMq0rekB+xP2za6nqW7O29sABEQ8SQ+WHY9zJYfswGMLm6qnNtA+nNsfzZcJJ4BLnWr1FYLE94ht/ryKpkDXmRumfbpqbv2/3uo3UfVeTtJgBcQcaQYe45sDd8w/9jdmsR87NxOB/YbmZAL0L4S/McV+waLTz9MbIqWUNepLLI9VwHo3w2fUEd/gaNgUCyyBgyOwyFAAfLU/Nxn/+5+Lt5olY58DLTfvNjvmhe7oB8ct7KGADEbsI7Zz88sipZQz6E1pNKxdNlyrO8axp/ZdS3XyAA4iBkyMyNR06uBp25fMg3o7+5jfvattQOvrUcxEsHWO8ccOZF/1Uk3nPYmXv2wyOrkjXkQWZZz5XNahs3J5uiOQpIFilDZkdFTq4GXfnVhsjDX1iN//8igGl9Ss3NWjtf6iXJRx2JutgQj2dj787ivRMjq5I15EEm2/DC82OM+6mQBAiSRcqQ2VGoBDxQjA0AJ7bD5M6UP3DT9a0MJ8l/metZLUUC32U8/zGyKllD8iLLaWVHjeoopTGJZiWvAAASiBkyO0q6lRsIg+lj3GVL3l+zF+CRm4UAH5vHH5FPmTKuT0QuBNgsuRxbl5wheZEsq7Q5X7VRjOw444R90SBRxAyZHbryqzLwgxrzFc4P0yDgZjBo2HEin0RqbgZ4u0qxZ1bsRsfWJWdIXGJZb+AolHD1VU+dir3bBIAW5AyZ+TJ0vxokq0asd/73hcM0uWmYvZVoz4vhXK4rPzBvauNkRJ+p4psTY+uSMyQukRWWUq21fFTMjB5iLzUB0IKcIbPj0AtoiPyZSgAVLlWd69r2NbeW803ZpvKFU+syBTy4WYtfp7NaCAB8QuIS2XZZ7ator7S3xPgPkkXOkNmB0R0r6IAx7dNpLDaU27u5AfrTcI68/ei/7RAExN4EcAm/EQB4hqQF7lmUq4e4JU/uLN4w/oNUETRkdiiaAQ6QvSlPbuaUjlcPs9V39s1dgMvq+Br59ulKKHsifsFKBABhIGmBPGw1ucXNxeBmS5QAAukiaMhMUuz6KqADl/XoxljstpjzRBo3a0I1N+if/kX+k2mqa5ZCl3aemhBbl5whaYEsoGzJWP37/nh//5IPZQEQRNCQmReH2Q+PxhaAywf83G0oNiT036zppwzNh6vKV03ZMek18Xu08gSI2LrkDAnLK5k9oewpGCyShsx8WfS1VeCMsQaA22J8aajqf2sD1J/hqvJNetUWxycN469UIQAIAwnL23i1VgACIWnITBTKXgwPw/Q9Lw1tw69BxK1B9ttwjvyuaWN+o7rtNQJbBABBIGF5b+y5xZ9HAqAjkobMRCHvZXDsDV/vriNxYzA/f2jfMgVT5oH8l7mh43ASc7dVyIRmQF4hYXkPzGRXwrIBCIakISMAGDKmHXyun8hvuoibNf0a+0x8mc9pbUItc7CSvow7O6ZXbF1yhmTFlS6LXACkiqghMycef24VONLYJ3f+enft6WRouXtzXUn9Ni8sdg46883FVySQqrpj6sTWJWdIVlyjeBWqnoGhImrITBQCgKFRqp/HB1yn4qvBvBZ2syi04bryu/OWDfnn8Ea+4YA7PAUyti45Q7Li3rktIQAAQ0XUkJkvQ+mrobFRR+5/TFwfo2Gz/a2KEL+G697cOejMna5YAo0A/ms2T4itS86QrLhGwuytZhcApIqoISMAGDCG5XvngVjZ0Xf80L5lCabNh+KfVDvDRdKoVsU7IcXWJWdIVty8tnDMAIDhImrI8GUD5l4ZuQ98Ocow7Oi7WdJnZbiuS/shK4w1DlNYATgFAOclidi65AyJSms2vUQAAAaKrCEzJyuhHAiIngJQuGdyvOnD7M1JBLXh5OFk8fmjhXKBIyvpq3SCaRZblZwhUWnNBpbYBQAGiqwhw5cNF1MJH+dt8mwwvwyzN5eVDMWD591+QjvaCsBRuzSqVeKlCQKJSvtAAAByQNaQ4cuGy2X2nn+9OxeGMuQA3ioJWRqu+9jxN7Riym9IoBHQEbw0QSBRaS8NS1qJygYgGLKGDF82XN5Jx3UToFbVv7idAvBjuO6q209oxzDL4J7g4Am8NEEgUWmLs3mf/qAUMBgosoYMXzZceCh4sQfXhg6GhP6bO+0+lesecGtAdJsNk1/NNDh2OfAG++WxVckZEpU2cTNyANJE1pCZG5dQDgTknjQmrjJW+jB7cxJhqVz0cKb04rypy1Ey87ZMpdiq5AxJClNyShAAgGEibMjwZcPFUCnHeZH8QRNxswqAKfC4fZIbO9MGh0kqtSrx0gSBJIUp211dC2YDkAbChgxfNlwaBSFOONfja84nHWQ93DxnStqFb+YNOGLsBJzMui1emiCQpDAlYaZvG3UA4iBsyPBlw8WQwO+6KcRQbu9mIwAtb5DEP6j2Ey3E+Pc/kmlXWWmEl8YnJClsWRnU0ahuh7kApIiwISMAGC5seLzYg2tlaEM/4Zur+c05qMIuanBjpV8hpWVbplZsVXKGJIUpa13O9TIASAJhQ2Y+VkI7EBB98HbeBfjSjB/IpqKPafehbIn+fdIZAIiaA0GSwpRtpdJrVgCEQdiQ4cuGi6Epr2syvr7b/vZC+3MdNFTIzs6r2wyOJFS7DS9NEEhQVqlYUxJNJQBwRdqQ4cuGy0QfiB3LAKgpAP9kbW+eZNh8MO34C8z8GiKbZGoAHMBLEwQSlKWWzXbeLwtACkgbMnzZcJnpw6Tjl/iHJuD2jFKjBVFx+n+yJXofufSuXQ59gpcmCCQo61s1KUHZAARD2pDhy4ZLPX9fWYPjOrna1s9mot3Ugkg0P89QnNBDr4E+1LEPxVYlZ0hQlpa4kk5GCQD2SBtyPYCQiH4gHHoRH8emvJdkO/alfXsN4YsNfxdcNx9cVcqwu7EoXEsce4VpFluVnCFBWVpaSTJ7SgFwQNqQ4cuGy1IbiB0DgE9SsZjLX+njM/10/AUmng3y6UPwAv3BSxMEEpSllZZOo7E0AG5IGzJ82XAx7MdzCwfVFYDCZqB95Mef/ymYoLfWpFNiCwB4aQJBgrIWqklJxqwAhELakOHLhotSFfqA00y5Ybu9RQChph4WNrUDrPnVaxMTTZNaAEAlwECQoKypYlLOFTMASAFpQ0YAMFz+uCWcrOH2Jj6GPoNgUdFX3Yd6QO4DfW/YY5ies2avX2xVcobkROlWm9KuEgAsETdkFkuIKAgCopfxcarIdxls6/jBYj3ph510YdVRf52kuwBXMN1iq5IzJCdK73khmbcKQCDEDRm+bMC8aNbg8q280c62aSyhlw4Q/JqqmwCy+OIhoRJAJ/DSBIHkRP2QSlpppQBYIW7I8GUDZq0MlYVTOKh/bdvMHzS2oVjvHbRDWZM4SZ+nt2MbL00QSE7UmhqbXYukKksDYIu4IcOXDZg/LYvvdiX/ip12slVfiXstbBArq6rvSvxn4dME92vhpQkCyYnioeXJ7ldywgEIhbghw5cNmcemLTh1h9Y77lhNH0z55U7/LtRa9ZOJrP81xe1aTMnYquQMyYnSjd0hVAYgFcQNmXlcEQVBSNaqNdj3hqpmDy4TSsXUZq292nnARmmLvQMWmJILqEgyWZspGFuVnCE5Ufpyl2j1agDCIG7I8GVDZs93zbs1A3glFatsEkPtAXrv/gOu6FMkO/7jpQkDyYnSF65kolYAgiJuyPBlg2ZZjfxnbGfM9fSBhVWyvSlPz2nvoZnykcmrpa/7S/YBXpogkJyoeRVSXh7ck5xwAEIhbsjwZYNG2xZq+zWuV9y3G8ZNlfr7p+n/8vo/lWkn+v2PSoCBIDlRjQZTRwNLrLo0ADaIGzICgGGjDsiWCXlbbRS3nEm6UwZpcsk7aGOtTUccmAjMLPiB3YLYquQMiUkylK+0aHsFQGLIGzLz5yIagrBcRvJqCLVrB1R3Ej5PJ03s9vKXjaoDJxx2Hhj5M5X/K2jqVNY4KEzP2KrkDIlJ+tMNTGjrCgABkTdk+LKBw6oBHkdkq1Q+fcf9yu5qv4axuuc+lHU9q8UnAhYJN2zHSxMEEpP0S2p6iV3RCwCSQt6Q4csGzmEjADcJm+9xvQaQXQagYd9h0bMY9dZQWOjAc3r1/2rw0gSBxCRVVa9rw++/cAVAaOQNGb5s6Cj754vblfPKhWpG1v12V4axusdU/c6QU3hck0i7UjtemiCQmKS1amD/TF5MeMbsDa+78rYavxxKY1JPDTIwOyJvyPBlQ6d8oAa3t4XoJQCsewg9VpZX5+p37tWzazQzYj5jnu7y/xGmb09JXT3sKCAxSYYiU1L1q7NG7xemYp6ANq0UclZhf0Y+yBvy2csc/p+IhiA4u0n9DA/cmgJQjahweB9nugHOO6r9Y2z9e2CZ+pjHdO0pqauHHQUkJmml39dCTHjGvOv3TcH8uaGtFCokWt8jfeQNmUkS0RCE58vmndSPriIG+3676i6U4vblzPy935GJfwLnye7+q5B7abp62FFAYpJeGvZ+IvUoMwVMVT+amHvR6XOMTRJs8DUM5A2ZCZJREYRnVT3D25X5Ntry3L19vp3ejbpLO8q/zwdViXpB4XUAjlnupenqYUcBiUmqbnPdRdVyv+y4WS0mLWZ5wbx4+H53NQlgxMtaPZE3ZDlfBuLRHEemV0Z0dXKuoIVDvr2pYY9bub5ys1oYhFx4HMS3AXsLe0rq6mFHAYlJaqTJnH0nAgAr9j+fr0/z1vG87S6Wv+vVo2HB8AhqMHRF3pCZPBkVQQSURMD71gj7TTEeojsX+1nWJ1cCbDcQ/Lfffr4srn0ZFHcDGe3YHewvrKOHHQEkJsm013QQoWYqlLvv9+XDjL37pz83UtD3Px8vxxCXn4VGTN2RN2Q2HMioCGKwf2gsDT2ZIwBDzT2n8d9of3eLh8fnl9fV+8fn+nvz8/P7u/vb7/flviz/K8v93267+fp4fX6YGs5txBJ3g0kNYvpLiezoYbOGxCSZEk4S32mSJNp9tKlDq2cEirQPHSXyhuzBl/lls7yb0nTxatv2biSUzbHduK6/VqebC3p0q7czVc+XY7EezsKgv5emk4c1Uv5+va+eHxfz2XTy7zkVRTGZzuaL+8fn17fPze8QbjaJSZoZzDX9XNPk0Lf32zSjX2nv+kAm+hJE3pD9+TIvbGoPucAbzCmfG7Yx1V6yTbP+/xHrjLv9dr16urle3Z3HQT1Mby9NNw+rst+sHue37vhk8bRab5OOA0hMUm249Q32NQp1jYqvT8V1lCqbbqe3ELMp2PXo+FNBO/KGzB6LjIo+KZvbS3oWoc+Nj6aTeORzJPu1IfWusCjiW26/3p7vzdP3vTkrPH0d2Hos+wmygrt5WE75/WLeYNnC/OntO9WqyyQnyWB2nnpNaw26Lblez6Wr1K5FOszok/k287BKLDruZa2eqLfyQD9DZuJkVPSJGkuOeI+0ia2SdTt//frdl3/b77d7wwdEsbixePT7/vJgzuPlSYBdP02qf3kc0Nz/GfYLZAV387AV5edTp8cxe/5IMQQjKUGGeouFr2I0310eAN3KjO8qVdZDruq7d/5jETvum2cQOjF3x4Mh1w+UZHT0iF5eAnMADfbL+mneYvJ2a9y9Vc2jYYXdKB4+Uv38vAb7BbKCV/yG2nrYC78vPZZoUvwqIylBhiaq3qrR3S7tZOZ6ZnxXqbIOUpvMt5lg0GuHvIgqNSY8GDITJKOjP0xlUwe1dByA7e3539Ng/XB7997DDUHkPvA3jp89r4c4+v/n8aXp5GFPfLe0VbQkxa8ykhK01Y3PWwCw7PgAVlelvtwWYET2R2rzgTZNffTW42l3+koZD4bMBMno6A9TAZkU/VZUyvXN9C9S8gPaaFn47576X9T/f/b0MeBtWOw3yQru5GEP/BiG/0a1hlt0STb0DUkJqj9C2f3wFAB8LW8nYKpM759X19dg/kmdOb54xfT+5U003U4tBG7X1EePiLCBqyseDJk9FxkdvcEnAOqfD2NSKde3ZgGerMbe243qFK44KD4WzR5XXwNPA2Y/S1RuNw/7339/eqK1Kxb5oMEhKUHNFfTC+y8+bME8Zc4W1//M7p/fvraW82D/pL69WEgtZv9G/i8PGzx+mjeQ7PLP9NB0oPN+CeDBkJk8GR29YZ5bQxaAgZ9l22pwQYt3y9J9VxvVtaUBtrmlwwfJ3aMfvxQe9rNF5XbzsP99uq79N5/MkRTnY0hK0JfpDvgPeQ41Hh/NNR4PY3THTZg3pFrHE+40CoEfFbBJHZ1yizsguzNhVHgwZPY0ZXT0xh37zfU/UVbaSPn9apgHmD7Yjv6tcg/sy/3fP3a73e/vdvvzs/nZbL6/v7++1uvPf3wceP94fz/8+fj8XH9ttruBf/M3YbdUVG4nD7s35mocav/c/RtkNru//eGR/f1u1m91WVblMk7JhsEgKUHG7rSh5jzeDNfu/9niR+p1tE8wm1b0zby1g7XZLmsBDQ+GzATJ6OgN85J0itnLibDfvC/v72aTgqazxf3T23fPwR9c8PXSdPGwv+admnevP8bvy+37o/7xWKT5VUZSgj6qwYcRKhXN1PCxf/Bhkuq7lLY2mW/z9aVPJGLStjMeDJkJktHRG+Yl5iK2WmB8+HppOnjYb9P0/3R5beagXOsxQJJfZSQlqN5Ex354qADATx+CGN0NtE8wm6Y++gbGwbT8SA8PhswejIyO3pg0fnhV8ja2WmB8+Hpp3D2sqUDM5O3mfP7fm3KplYj+wpCUoOZ8eSHhN60p670v1UJ4/wUXo1TP6TV/1Lgm2TX10acqUqw5NRA8GLIvXyaPObf9LrZaYHyw109SrLuH3RimxV6sRpfyfeKcbBgakhK0MnmOQC3pfg2X7r/g4kfqdZTJ/MKuCstCNWrfcUrOeDDk+vGQjI7eYAukbBogxf3LIHPY2ycp1tnDbvX5/5l1a5D9E3uXkvwqIylBek3LIlgAYMrb6l+g14/U6+iT+TaZvUqIWuCTrQceDJnJktHRG+Zy2CgFCILj6aVx9bB7Pf/vziXRsw6pbdK5w0NSgpZkKIsUKAAwFdReeZH61l/Zq2iT+TbLr/pUBRq4dMeDITNBMjr6w7QGgF2AIDyeXhpXD/ukvQ73TovL9a7DNF8jkhJkLKQbKAAw1Wjqv+CiSy28L+NolVgfLE7Sd677jlNyxoMhM0EyOvpjc7Lz2uIJEwAgBswEJcU6ethP/iYc/9y5JZfVVdpt0rnDQ1KCGpHVxYMEGohmyjM6/I/+Cy4mqb53+TbzDsluP99KG6/6ta8fNx4MeUABALoBgjRg75+kWDcPu9cSACaO1ZbqACDQ17AjJCXIWCk5TABgKqg96Z0GZ5Qqoe4Vds3LWZage6qOvhh1ViXBAuPBkOvnQzI6eqR8ZNoeeEJCKYgAe/sEpTp6WL00tuu31Vf1NqU5kUZSgjS/WfT2m7bozXAldi6ZpPpextEn823qDiiNkYpE000GggdDZsJkdPRJ2ZwDWMXWB4wTPy+Nm4fdaTsAndus1xdM86uMpARVxZL5PVtJSb/Kp3LVA/0XXExSnR+/I3rxYYvPL729Ffq39sCDITNBIip6ZnNX3YFFmp8tIH/8vDRuHrZaDrz4gonzGnC17TDRalokJehe95qhAgBTC7P+Cy5+pF5HSzm1mcjQpyp8xylZ48GQmSARFb2zWd5Ni+ndEn2AQSz8vDROHvZPa+njng9TBQA26dwRIClB9+q96u83nS/N8vX6f7n4kXqdeeOCZLefr04zuRCqAnOWeDDkwQUAAMSGvX6CUp08rFYzoHBPAt9ezk20mhZJCdJb0gcLAEytGvovuJikeu7nqEzmF3Zrz8t6qDobNeZte+DBkOsHRCIqApA97O2TE+rmYZXkqk7tfLaXVz9UZ1xHSEqQtr/yQJAdRH+GC/dfcPEj9Tpb7Yo2dQeUVtWF9zglbzwYMhMkoyMAuePlpXHysJeD64WADj3WqiptvtvIdYSkBC2at4o6Lpl0wFS+tH8anEmq72UcvfiwzZST1t5q5lnNvPFgyEyWjI4A5I6Xl8bJw/KEwc4N5qp9h4nupiUpQfFmAN7ZI7rQf8HFJNX3z3lVr2izn0+vV5BouslAwAxAOkwn0+r/YusCwsKGXjmhTh5WmVrttgv8MpPsu41cV0hKUF1EnC1GB0l8YKXbqkv3X3DxI/U6D41Lkt1ExoafIDBajR0PhowAoCOEOzdamFuTE+riYU/t4Llj7bK76vJ9lmp7FpISZOwkHiQAMF25//4lk1TfyzjNxlOFncW9N8440GGlClR4MGT2dGR0HAv8EcTWBYTFy6N38bD69uouH4Dl+c1fdVXZMyQlSMuY7O837Si1ak3dFmtCSL1xTe2KNvv5lOY1RbLpJgPBgyEzQTI6jgXCnRstPh69k4dl+QLnwaBTi5WzCN9t5LpCUoLm/E7J+E079Ga4EmlwJqm+l3H0FFWb/XzamnWRaLrJQPBgyEyQjI5jgXDnRouPR+/kYVfawZ1awZ09Sf/mdH4gKUH6h5PlFHZf6m4LtdPusF/TQqrvZZx1dd8u2Ew5aPUKUk03GQgeDNmHLxsFhDs3Wnw8eicPqxYNLLoVlzn552Tbs5CUoDm/U5d7HCIAWGneWmLBxY9U62uebp/NRMauccaBVNNNBoIHQ8Yw1hHCnRstzKuJyXTysAvFrya7k68XJCXIuHQaIgAwtW/tnwZnkup7Gee5ebnCaiLjq3HGgTAtGLPFgyGzpyOj41jgjyC2LiAsPh69k4fVHQECgCtECwBmhuv2X3Ax/ZxOS0AOaPnnNvv59PZWqaabDARvAcARGR3HwumeiReEBwPAx0vj5GHrAmuXWYA0G/r2g6QEGXOnAgQAemKnRBqcSar3ZRxtNd9mIkNrb+U9TskcD4bMBMnoOBYId260+Hj0Th62eXCRqWclKUGmD/EQAcAPe0AXr23TRNddapc6UC781Zc8YzORoX2wJptuMhA8GLIPXzYKCHdutLCRV0qkm4fVN4J32gaYOCQlqB6IWPvcAAGA2gz3cOXnRKVe56d5ObuJjLJ5yr9/+I5TcseDIWMY6wgCgPHCvJqUSDcP2/CrR3LMriIpQbFyAJaGy74nKvU6StBRWE1kbJunhLnnWYMkwHTglh1bFxAW9vZJiXTzsHo/+P4t5tKDpATFCgBM7dv7T9WYpNpU5enDSr2gzZSD3t7Kd5ySO0gCTIfTPUMS4Bjx8NK4eVjWZfUyvZphEgBJCYqVA6A1wyWJbE0/Uv/7r9x+rp4f5rNJQUUxnc4Xj8u39e9pIupZvaDNjJPW3sp7nJI7s8Y7L2LITJCMjmOBcOdGS8dHL+dhlRGtsPTIA4OExLQiI7+VP/Z4Lj67f+dQL1L36xdjo5l/l7h7We/Psw5s4LGZyNBaVlpVDwTtYAYgHQI6EpAYHR69rIc1zAJP8tsISEJiWpGR38pGfdIksVRjkvrQS+LuzdhnnnFXrzmdTdTG2mbqSf3bIIwcHgBUAWCuAUCLv6yI7PC4KnE1AaFhTs3qeHEP+8yPPJNfghWJCLmBxDVaeDdcrv9TMknt0Q9m/2nKKbhOYTXlsFdP6hmngFElAZp6XnJibynlukRWBQTG6dH78LAr00nZ7QSk3gJs6K9nG9qyDtk10XWX2qUZ9JHdq55PaoPNRIY6VRGmAWPWjKkOgN4dzd0EfXLSAkmAY8ThpfHjYesi6yxMnuaWB0h9z7dCQNEWTNM+P0JSCwmpv083vrJasRnKP0jVtHOcAk7MtVtK2QYAarmLLiboE65LZFVAYKwfvS8P+9c49nKNeWY5VtT3fGsElDVweS48Xa//I2IWVV2gk9S/F2errK5tM5Tr4rdd1AQ1Y0oC/H40zndUxI4muS6RVQGBYf7w2mEePayWIHM8cZFXBEB9znVDSOMGv4ZnNO8tdacL7SS1XBW6IBuOx9lMOdyrJ/VvgzB2RtYOuPz5XN6bdr3amqBPKOU7B7zCHGb7QV497NIsMK8IgHqc6oyU0jVfhqvYNNENIvXH9DG5WH7+7PZluf/bfr0/zak5ecGxGcq1ta/+0c/Y8ZYDkGASYMXf5v1lMWHGeIomY7u66v6jEuDoYG9f6zF+PeyP4ZSjj+3fbDYdqPOJXZDT+8zKcBGbJrruUleuQkpDOeG7D3Xjye9bZcOKmdoM5epUhUT0M3bGtATQRKsqGT2arF+MtO8ckOf2S+Pdw97xExmTjPYCUNfzuiGo+ZEnwwOyaaLrX+qvvoL0YJ5y2ujFfA48WVzk+yK6OmvlqCZQGVMSYJNVFxP0ik/XAdLm5qP372Ebu8EbDuE1m5VW6nqeivHDSUdQ9QNq1ZYD/Sdo5rpQV6mf2pTTor1G77ZpoKdTVxZXedPu75ebmkBDN+SxdAN8VH/4KrZGHj0HSJxbjz6Ahy3V3Jj6kne5JFtT1/NUWpZO1b8RVP0/1gyXPaH+aXCq1OPMkZNUPjl1mneavF8V8KXfPpuh/EnVUiD6GTsz7Z7SSAIAzQajR5P+PAdIneoFND76MB72vdZBpVjlMQlA3c5S+O/K0qnhWDFMaRo2TXSvYyqPsnARsNe+pe5u1Y/Q8w5thnJ9EsxFTWBiTJUAG+xrNc9/ohc98eU3QPpcffSBPGxp+Kyt4oFZFpkA1OmkJse/sw4AOl2xBVMhk/4LlyapNq15L/xp4/LLzWhxdbGti33ZVGHVJkDc4hRgYrRJgFo0HbsQMJIAx8y1lyaYh70kWZmnAR4yWAegTic1Of7dNb9pOl6EZf10qifUv2XjZXaJP/R3+9P/1BSCwuJkJaItrIby38ZlDrjEKcDIaJMAP9S3N3406cdrgCFw5dGH87CNRVYDz9EnyfpCnU4yPBw2WVL7Tt8BgCm7s//EDJdaOEvdqdNGhc0GAi1+shnKtX1bLnGKHDdeEnH8fpmOqRdAA21TVfzWZzSMOwc8cHnuegmIgB72v72aEtT8FypeBt4hmLqcY3ovlQ8ntYCan1fZlKXZPyYzSbV+zH+addqkUild/chuKH/V1GzPg/VIXgGAaQvIKAKA++ZPlmiq1Rcaxp0DHmBvYPM/hPSw//33c6u2YPEau1xWL8j9DPNbeWvptOW0XvwZLtl/dNgz07tg05r3dLI2flgVEGisvx7PsxnKHzVNo4Sj2QYAB+RKAaeeBNjsll5EiiYbcI1i6wLCwt7Bxt8H9bD/nTLCDL1huD9aDTgEIPczOPVfxwgANoZH0r+Dqd5i115qqXUntIsz32vrOv8cG5vSZqut4xRRsg4AToxgBkCPpuO7tZMeSAIcIy0vTVgPe2DV4oZ4k+DrWxBThtzPMD+YW0unjb/vp3MFq9RUGC4pKNW2L6o2Flqqo7W0mlmcxGe1Tpo+WKopS+gAwG+YM+M39MIIAoBvUrAxQc/QIO4c8EHLow/qYU+wVPN2n/Q50BCA3M8wv5J6TT6lgFrjfvVRuUZ5qMfL9l+4NPWXtJT6pihD95ZmoYW1NkO5XgUhTv92zADcgAmS0dEHWlXJONFkAxrEnQM+MD/6sB72zKtyamH4N5pHL5vVCXI+oeWVVHdP6QXU5N9m7aGSxMKlKvXwS+z6omofUVPLjMRSiy5tOhpp+7Yi9W9/qm5TiD8hAwCheSUmUUZHHzwrP1mgqVZvaBB3DviAWWP9l4E97AW95LqJ+9jds7tAzie0vJE2H07Sr7NpUqb/wuWEmZ6T1D+tOa9tUPirnmg1lFf9qitd41hgXksAqiGLlQJOPAnwTvnJAk21esOfQ2xdQFhMjz60h61YF/zNaP4b42l4ZQHI9fi2N9Jm+7Tw67y78ihkseuLWtcPOKtkXZZnrf0SmxpT96qakfq3hw0ACtQB8IH6iZREW4mLKknfOeAF00sT2sPW/Bjdgu6cBtcmkFyPb/NljjMArtc1wao7+wkCKqmPNuq8q5pMrTflvarXtOo91AyHi2hpW1nmAIwtCVBrgNG/qVZ/aAh3DnjB8OiDe1jG30PzfFVepdLAUgHI8fDW93FuuiGa3xR9n1f6g5APBI4SbdaLfrVr28+hahUNbaYc9H1bVnGKPFkGAE3yDwC0qpL9m2r1h4Zw54AXLs+9LgER3MM2edfWH+oRh2v2kMDUmT3keHjr+9j8cCra/KbkCx1u4LExNHVCvnDwoGrtQauORlpCTKz+7dkmAdavdf4BwKv6m1NoK0FDuHPAC8waz38T3MMq/GprrmYG1SmY3I5ufx0tl04l32jjt5oQzWDTIqbTWwjatw9Qv+ULq45GemmLBNK2hs9MfRYH8k8CfFR/c/+mWv3hGsXWBYSF2ePpL8J7WI31tDr/KvPhtAkkt6OVZ8KwnTm9IsKR0upZSGCxXrRn80PORXk22i+xWUh61vQc1NxTqox0CUAL4FPods7fi9i6gLCoL00ED6uzf70y3PD/FKUrWxfI5dhrfkz3m4XnAGDbuFTzf/SbY1alWkw1LbWzHILAN+2aNttJtJ7YKaRtDZ9xJgHqvVJS6HJGA7hzwA/qo4/gYU38tiYDNnlM4f2xgFyOvfY2hp8BUKaExHIA9SDg9nLoThPissakfcvbrHLr+7ZSSNsaPuOcAdAaYMRpK6FAA7hzwA/Ko4/gYVv41r68yDTyzIcxH0sux157GVkJ9XoovhoAuFzahFqg0R+314v6TcdrY45N7yG9tEUKaVvDR28Abp7KcoBJlNFRno/GL6YkCgEjABgzzBwP/zOCh22j/Kx9xJVPzkn8bpoWkMux115G9xkAl0ub0HZ2kMTC5YPhud6UWq1GdPKfpc1901izS54uO5h1p6QZZyXAF/UXx2krocCfQ2xdQFiajz6Gh70i762xJbAw/isVKaTR3IIcDr36MlrPnIq90lPtjndf2VGlNrm5nKNvSHTJMdlWP6Q4/4tN76GVds0h2Fv6jHMJQNvhFKethAKxVzy2LiAszZcmhoe9xn6lVQUwTAcMoCgQORx61Y0FDwBY2lJ14/vvEO8kVVufoplLPp6+v8Wmpv+jdtZA0k4SZ5xJgJo7S2IjEw3gzgE/NB59FA97nb9l6/R/9R8GMAdADodefRetS6hLvdNK2tLxpvdZ2ekhVWkYXThuol6Sik1Nfy3iSiJta/iMsheA1lYjUlsJBUr/zgFPMBccycPe4u+lMeFv8huTJOLoa5DDoVffRfbhdDUJUMwb6s1w+/rpA+8dpO71DYROH+Pa9KtNTf+9Znb9ox/w30grAWpVJd0rpd7ElLPjlSTyGEFHjo/wvPoTxcNasHu6tfPMvltBJMjh0ArTf7VfOr0ux5oXw/X6ruxUUgsXqY1Q5HimW51JbfrVpqb/j3rNNNK2ho+3HICUkwDZPukuFmyFZSFVI5329yIAGDLsQcbxsFacygJcMc/UjZAcDq0fiIHgAcCCmcOF/is7C8OvuCVV3xfqlPzBpl/Pf2x6D+nLWv2jH/CfZshypYD7m7w/tByrlfw1us4AdC7ukbrvBddgDzKOh7Xkhwe29UxFZbUplNS+AtkfyR6IAful0+tyrNEqQ/77R/+VHX1V56ZUrZEqTZxK8n1p59vU9NeXtfpHP+C/RkGLG4ZszY1XJwG08N1D/jKWAIAD7EHG8bD24o1j34Wi/840n5D9kTWm/2xbClgqAFDzQg8Ou//Kjl5v6rZUfS3CrSLPSjvfpsSFPqGaRNrW8BnjNsCyCqEvePBafZYAOoEAYMiwB6l/7ITwsPaUb+YytM4tCyJA9kdWGP+zdRIgf7IdFL6gR3USt7qL1Gnzl5NrfKnt57Oq6T9tXrSQymsZPTwAqN7pzAMA9ROr8NFxudMMQJ/i3h3cQY+r5Y64Pdg8itPjj+NhXdjpm7Jrkt4LSPZHXjeFLjkA9hfXeTNcrv/KzlttarZS1SrqhesWKu3O2dT0V/tbCua1jJwxJgHyhJKjmgsPF2l0UbH90+Wcyx8EAJKI20PnRxHGwzryMWloyPHxMolB9kdeNwWH7dMiRnVJW+L3uv/KDkuGKiyl6vNTbvvx9tXVLn9s5re05i2SeS2jRjPkotWQbWHCZHSURmur0X8/rU73JYCO0wAIACQRt4cejyKEh3Vlt+BXaRhtylMAZH/kdVNw+HASMSrTTG3/qgumX3FDql47eOV0yR/tfJua/nq9AtG8lhEzxkqA2uy8jx0lQ0gCDK3igBC3B9tHYQj/Vk6SunlYZ0r9U5A6T0UFg+yPvG4KgQMArb1DIbGyozeNuCn1V7dSty5Q+lBuEzD2a44F2hljEuAliK2s2EcjMwQAg0bcHno8ihAetgN6bbrzC5XwRgCyP/K6KdgnAd6SZIW+M0SiepmWDHVb6rtyuHMcom8isCkexaognP6I57WMlRFWAmQNMM742FFyr95UK3pkASIAkETcHmweRV1Vn/0J42G78N1irQnXAiD7I6+bQuAcgHXTPo70r172SbrYG1LV75rCNedDKz1kVdNfszQPeS3jRDFkuUJA6SYBbtRf7GVHyYNyV13zAJ2zABEASCJuD90fhWPR824ethMtEUDCaYBkf+R1Uwi8C6BOW6pvef84iyVDWVZyKvWukG4lecs6ZeT8x8a89e5YHmq3jpMRLgG8Ky9SMjtK+MsY9IJAI8j9t3sUITxsR9g+cvY+pdFaywjZH3ndFAIHAM0P79O97r+yY1qmvC7VsBTh1kn9t5N56/UKEp5lGhYjTALU5khT2VFCoe+c4f0HJ4Lcf+Oj0L6qQ3jYrpi2p6e8D4Dsj7xuC4ErAZpWHPqnWrhL/ahttNtehLV2QRvzXg3IxAbGCGcA2BzpyYhT2VFCoe+c6dmDI0Huv92jCOFhO/NgyltJ9/OM7I+8bgushPqNJEAJm9LTloj6Vy+rN4zWP+aGVD3BxDFDRduCbVXTn1dBOOmbcKLpsOBBYGUKeQcA2jJWKjtKKPU7B7xh8MXnP0E8bGf+Gm9TIeE/fEIOh159F8N2A9woDvpA/5UdvbrOzfwNtU+Vc0lebdXBar1Iu9s+areOE/XWFv1fYCZIRkdZ9AYYqewo4UrF1gWExeCLzwTxsN35qN/26sX3mHXQE3I49Oq7GDYAYDsui8s/+kdZutSbrl+f7XHMPVbqXBdWmxn1egXpWtjQGN8SwFfT4hPaUcLfxdi6gLCYXsMTjimqnTxsD0rDQnK6jVrI4dCrXszab4p4Q2Xm/egi+pd30ufzb9VE07PxHceKbjX99dTDdOeYhsb4kgBXzffIT6XUTlDidw74QzXKsB62D3rhIY8bD/tCDodefRet6wCIvNOmuuL9q5dpG0ZvSt1UJlqtxrvle+irDiuLsz61s3zUbh0nDgUtbBExeX88qb/WS6XULlDidw74o2GRjSAghIftw5+udbortORw6NWX0boSoMgrre++l6heNmk+t+K2VL34o2MG9Ztm3l8WZ12qTtd32mtey6gYXyVAbfIumR0llPidA/5Q3kDm7UJ42F6oJa9Stl5yOPTqy9hhCaCTwkcuM+/8ufZfZjHM59+SqmeYOnpPvaa/TTq/Xq8gZqUJ7QvSM37DacWQ868EWGo/2FelVGe4UrF1AWFpf/9DeNherGrHcbFf35fsDLkcW2H4j7YBAF2VYsl302Ed6d9yiUu9iL0hVbcux02qd40LFpajm9aBMGqSSdYBwImcZwAuCSWVx0pnwZIrFlsXEJb29z+Eh+2FXqYtnVdKhVyOvebGbJdORZyhWm7p8Gj7Vy8zFXG6IdVQOtApvtTT+W3KRqv1CiI3nMwrAGAFLWpyDgB4QsnxV6fTvZTSvnPAI4pRMgJ42H7oOdpZ7AJgj8TwH20rAYq80aYhp395pw5SF5WFVsvxTvOnuqnYZGDreS1Ra7fmFQCMbgZAa2Pus1KqG5T2nQMeadokDwL8edizJ+ubUFVvPLio7XnnYQ/I5dhrb6NtEqDIG62W3zngNjF0TWphL9Uw7+FUREVvP2iTgc32mZzvddTaraEDAL/zaTwAqNqI5BwAaLNYXiulOkFp3zngEfYCsrfx8Mcp38nJw57f/b77yfSsmmQqa2iQ08FX3kb3HIBO+h6pbjAvt9S7epk+WVTclKotxjsGANrXl5Xx6fUK+kc/Pch7BiD7SoDTWrsTUY2pAX8OsXUBYWl//7152MsI0HcGoFTfqGTaa+qQ29Htr6N7DkAnfY80+jud73P/SZZtB6mG7YhO17zXLmkT3mr1CuLWbn2q1A/xJ1AOwE1DdqCrdQRBK5SSTCFgJAGOGdNr2OEdcvGwlxGg7wyAXnsonVU1FXI7uv0hWM4AiLhCrb/Tvyf71ENei1S6LVWvBOwWn2oBhFW2yISZ85G4S0xZLgGMJgmQJ5Qcf3RC65WU9J0DPmkaJcebh72MAPIBQLp12sjx8Nb3MWQA8GowjFUPed2lMhvtskKlVx6wycDWz+of/fQhbABQIAlQFK1waVxjakBJ3zngE+WlZ3jzsJeqLn0DADZDfVY8mdJaGuR4eOv7aJcEKPM+P2pPVaK8Uy21sJZqUMQlR/VLu6BNOj/bZnq+1XHbTWebAzCKSoBaKYuEepdT0ncO+ER5Azvus3LysJd02L4BQKOgzPHaqfTX1iHX49veSJulU6n3mV2rerD9yzupv6CwkGpYAnB51ivtbJt0fr1egffillfJKwDwlgOQaBLggml3JK4xNah0QiXA0dH+/nvzsJdXv28A8KG+UunWAZILAGxmTltPdmNvuFL/QaGTVEMSoIv18KHzZC42Gdj6gOu9uKWFPrkkAXorBXxERkdJtBg2rjE14I8gti4gLLpnveDLw1YjQN8Je61AfLqbAJwDAPZcmn8fMAD4US9TSJR30qSShdQp8UDviMuWfO1r0yoDW0tTS7fX1AAZWRIg31FTpGZMlPKdA15RzDKAh/25XK3vDIBWWSOhVTUVcj6h5ZW8XQlQ7G3+qC9Q0b+FeVOq5Ycfrx10/rOyv+Re+x02BSNK7ZvNf3HLETGyJECtbvl9bI0YYi4DDI6mVXKft7IX4uRhq9aufWcA+Lzw8dIJ92ol9zPMryQroW5OAmw8zz4qG+rgSLQw51ILW6n3uiYO0z36pINNBrZer6Df8AQazNS72/8OSxm+D1aqCaZkTGIuAwyO5gt4+R+FRw9b1QzqGQD8qtecplNZQ4PczzC/lLc+nKjlvA40Rt2zifSdtTGO5belGroBOvR9+NBOtpkr0usV9I9+QIW3GYA0kwAfG68RpbVlWc5ngKFheg39ethqBOgZAFyStIU+H/xC7meY38qAAYAh806ghXknqVq6B7kkUbEMlXN0a2N6+jX7Rz+gQjPkgnKeAdB+bkrTlfUDSPDOAa8YPKtnD1uNAD0DAK1Qa0qvlAq5n8Gp/zpcAKDXWZLYZ9FN6ufFtBjWn1CGykM2pn1JMalPdOqOAa4zriRAvvflVqXU8Ij5DDA4FLP072H/qsv12wir1R5Ktxfwf10CgJax/Or2aTKe0pFLmQX+XPu3MO8mtVqPr/MerHUxzB5YZWBrdzppAxsc4+oFoC6SFkkZk6DXAAOjaZaN/+XHw9ble/oFAI2rHhRf9RLnGep0UoPT312rBEimEzrD6+BcUvb7N1vQq+vYtHDQMvIP/9tuOcK0emCTgb1XLycQ/YCacVUC1KawktqyLOg1wMAg1TLZN5YXD1vXxO4VAOzVTi2TlObUNKjTSU2Of9e+BKD9bU+VDYl3Ai3MudTCXuqdQZmVxeXKxq+4XNBmnNlo10u31dQQ8VYIKMkkwGXzd9rVog4GfwqxdQFhMThWvx62Pr5XAPCuXtTrG7X/er6b0vTu+avjTgPqdFKT49+1BgDaX3ZTtMY05vZvYa5JLaykmqLM6e2Qb2/Yc1DYLW7pia39ox9QM646AJodulRZ8U71YiR454BfTK/hxRws9tW5e9g6d69PAPCnJpMX/fPTWynf6qtN3juFANTtytq9bV861Y7siV4Hhxw7REpK/T4bVoObm/l+jfPMdumiL9pp/aMfUDPTH0vGAcBUtfmk2pZI+g0wLMwe8szq1tkdPGxdAa5PEKzNT3ucANg2B915l4GAOl5beyTGSoA6HS/H+FXkH/7Rv4W5KpUspVaBA1uhosmNoG9dX6R5k2xWi1hkW5z+X8JlJgbIqGYAmntfCsta1MGQ9RxgSJBqmhwPHpYl76+6a60V1pz7e6G+1cmGSYf9i9Tx4gYnWd1uPhaqdLwco1EH53yZ/i3M9eo6lvlQamvi22l5e1MSw8lYbC6o1SvoH/0ABg8Asq8E+K38zsSqSlO6dw54RjFMao4r8h6WN1nvvHF/V3nni6J9ywq386uPsRP3+TvqePW2O3ydjhdrYFp1XwlLLeylaiHfkSuLAN+XeRutYrRVxKHtMk0rb3v4qDMAAsWWmSAZHcXQMpb699SQRNp3gOFg9KsePeyKHTzt2BFz38wkU7vhiFKaFt3d5xuouwY3npCJ7herUT+5D/RvYd5Zaqmtoh5pS8zbVRea6JMOK4vrnb7ZOvbGALcZVR0A7VMprarSxIw9ti4gLEa36tHDNpqszzqlwuy1GoB3/rYAvqvX6vb+UncNbj0hle5XanBy0M3pj/6ZS92lvuontj6Jv9fqwMl23amTsF6voH/0AxijqgSo7X1Jq6q0B/cBBkL14NtWk4U9bPO9n3ZYBdDH/64zCRaUylLwWe+J6xQA9dKi5dGY6XWlClYHp37UvRMtekj9K7QzjzxpeSp/y/qI6Vbvw2YVcbBvtvOamD8jGyVjSgLU97543LPUAUr2zgHfsEc/aTrXy7+KethSObJw/pb+recOL/npHsNp89Kz++cg9dSjRQ2NnpepUWqXHm/1lR7P3aQeBdtKXWr6nJi8cgPdrx/YYYcpJqWmf2GXga3XK+jwc0E7Y6oE+Kv+0P49NUTx4kHAIGCGuWRmykNWSQ/baLJ+5N5tXnmtBNP/ruazpoapcF0XT0U99dBum5GeF+F8kj4p1D9zSZVaOEjVSz/UNvS22ZXlbvv1et/Q+e7w1a41nreJOPRvtrTytoePkgOQdSXAtfpDE6sqzZWLrQsICzNNzcPWTlbMwxq2gRVv9jPLuwf9dK9rs9WHoDIguH4MU39V9Dun0f8iFUuD+P6ZS72kmtMxrnB/CFz32l/bRByXQLVwOgvYM6YlgJX6O5MqBIwkwDHDX5oAHpY3DqwnxCyr6+1f2TB8WY33twHwgCn3/HBl1zk8klDm+sOQuEJNVQeH3fL+Sy0mqdYPsLwjfVbiCs9Hq9Jr+ttEHHqgmlbe9vAZUxKgtvclsarSlOydA77hj740lX+/QgcPq3/BH5mubmfF7F4Nzn/euZaAHdoFL+scrnI8qVMhI7/GMBskkLnUT+rvpPEMrlOcd7DqUa1NxKH1mkwsb3v4jGkGQNvymFhVaUr2zgHfNB79r8lBt9HJwxp3/x55/Lq2l2+/NjQdIHry3QLwNAOgjzhRZgAOePCbTfbb9eppYdz8MFk8v339dtoKsP+RkLpWz22PBaYXI3wm9UibiEOvV5BW3vbw0RYO+9fzYBJldBRi3/ydqRUCRgAwZphh/nf2sLfKzPbxsKb6ctXr8fBmjIzLzZs6+p89hv9p2bY5kQg5ACeMEZTI+nS5/Xp7vjfX22nc+/nj6+ePbeT1L554e15ISW3uzr8SBNxXm/butBOmj2/fty6k3+ZjnLJNzHMPmBFVAvxRf2dqVaW5frF1AWFRHr1a/6Q1COjqYX8fG4JV+Uc3+/O725fl39/u5+vj9al10uAxQEctZTt4RehdABVeZgB+318ejLdZzdhnTO9f3q9vjf95ezHHE1ciy1tSTVmEhgusqoFa3Xd6Yf78/tM+ml++2XRN5w/Ljw1mA/ozoiUArbN0/54asnBjj60LCIv60hg8rMFf9/GwG1MmmAun0+Z+s//OfLfcCteLk5RCXgKAa/My157S9XXxlnyPm1KvpnWsrgk9c8cmkrR9pzyPdNFW6fpHPUFRd3L3lNgy7uAYURKg5lNv9rEODKV654B3tEe/MvrU5nva08P+PHUc+mvmH2EmY00l6P8pPw1bCZDhJQAwVei34fqX8O15fzIGAtfv7aEQxDXzKZrbSj+vXr1t7UT7ZtPxnH2aPSPqBXD+4qmtNsi3iwOU6p0D3qn8ZvXo1VI7KhIedveq5wDZcD5y8RVsLfbDqOCHqxiS0seD32yJKq7N/5+YXBWqbw+1k3prgfR3YTi3zlt5bq4gvDb/u0Lbp9iyVbsK3+mnuTOiSoBaanVqVaUp1TsHvMPewMtfHT2syWMKetj//tu8TFTZdkxfQn58GbdG3oXsBtjExwyAXvaujeaB14vj6WV/7cTeXCAt3yfsvKbhaTPz97rajLY1DOOWkwap5XENDm85AMklAf6ppn49cI4A1y62LiAszDarv6s9rO47hTzs8TKbV8fCA//enefvwInYhs3nHZoPkZQ6PgKAX5NM0n629pSvX/ba1NC1iGN1W+H9yri8MFnqaaHX1yHa1jDa7f/ClY7XwAbFkOVKAR+R0VEGJY+I6D62Rir8EcTWBYTF/NI0PWzlBOU87IXd5wsLAlrHheNnXvHwdiVx2xub5mhQ0KTDDARJaeO9DsAwKL8elYnVyeMae/QGxMz0ymcZAKg7q0b4uoJkaXtpVA9b+POw+83NneLT+5ePTSz//tscdOdddh+SlDLMb9aT36P0KOXP+8v9bPrPMKeLp/do1gG6MZ5tgE+VCz3jnEEEgC+uvDSVhy1miyfvH9/7n/X768vj/Xw2m07+XXMymc3mi4eX1/f1T+R91+VbHQvZ9i1QICldMAMAsoAbciFjyIkGANo6JzaQgGRgL2BsVRKmXD/fTYvp3UvX7QckpQkCAJAFo0kCbBRKOSqHDSQgGRKNmnODpAQZ/eZSSjoAgdAMuehtyGn6Mi3FFhtIQDqk+dJkB0kJ0vdNFAgAwPC4Y5/EQpFsmr5srf7O1AoB58Pf5mP5cH83PyQGze7uH18+YmSND4s0X5rsIClBd5U7YRvgEQCAoWHcAZxjAFDX2T6/rf5bmI2Q/ffS3Hhk/vyJ1h1XYMYZW5WcISlBRr/5KiUdgEAYd//2M+Q0AwCtJcb1DhrAmfJndb1y1/1HarUX04G9gbFVyRmSEoQAAGSBYsiFWACQWhKgVrwbOYCS7NdWnWXuw1WPHxbsHsVWJWdIStACAQDIAaMhr3qJTNKXKS0xCrqLrVFGlHaj/5FQ/eMGRpIvTX6QlCAPfhOA8CwuA2LmAcBG/Z3YsytE+eXYVXb6hskXjSRfmvwgKUHMb9ZZgCsp6QAEYiwzAO+1UqeXdR1bo1zY3+okozeom6XWiDk+Sb40+UFSgozZLu09FwFIE27IxeX/9zPkJH3Zs/qyIiddij8l7b+lI23jLx+RDtiE3aDYquQMSQlCAACyQDXkor8hM0EyOkqgfqaiDJAcP+YlgNZA4Pgfu9VyzxZ2a2KrkjMkJQgBAMgCD4acoi/bqz8RNTsEWbcN89d4xBwMI8WXJkNISpC2q/gQ66K0CBgaDxfj5fQz5BR92aZ+S0+gCoAkK+XuHpk+vq2/t7t9uf/dfq0etX2Ys21stRMixZcmQ0hKUO032UQX+ouCoVFHssx79zPkFH3ZWzNUpwkmoCUpHxUzmr9+aav8v6u7ZoxQfMbQNU3Y7YutSs6QlCB9BuAfsGcwNDwYcooBgPozn2MrlBmNrQDTZVun5e1j8zFgIeYCC55iq5IzJCVIMeQT2FkEhoYHQ64+ZdLxZaWajIZXVZjdZStA8by5NruyfSI+DfCMmZgTKUbNGUJSgox+E7tbwdBoGnIhYcgJ+rIf5U3FCoA4p60Ak9ebqX3rxq5BRAAnEnxpcoSkBCEAAFnwyAf+y79nFwCsmgEOygB64JNo9m5T4+/vgT+KR0QABxJ8aXKEpATVfpP9aVv5AiBV1OytI/0MOUFfxleoi94/EBh5+7Qcy8sl/2xCBHAgwZcmR0hK0JNhAgBuBQwOoyH3258VyZcdQ5kv43/aKb8PjYAi886fBqZj/kMSYCBISpDRb/5KSQcgEB4MmWpnJqOjHcd95uYKBu/K78N+3dh84HE0iRQ1jw2SEqSVFj+A+tZgaCiGXAgYchxfVh4vaP6aVDoeTTHpHJ1VbW1InvoPAUAgSEqQMQBAbUswNJ7ZuC9kyHF82SnR/9H0n35ZdHP4swqoFmiBe9AJagIiAAgCSQl6bniUs/9Em2swNGo/zIKAfoYcx5d9Hi9o7PHTyDn7N9zgPU2Acs4eyWz0j4S9hbFVyRmSEqTPAPx7cphZBEPDOJXVz5DjBACnUX5i+C/lpPnr0LMrCbYFCzxHX5mRxeCxVckZkhL0YnCbhZRwAEKhG3LR15CZXxdR0Y5zsV/D6sVb8/fNEKenQSM107x9YzzEiZpHB0kJMgUAUynhAISiaciFhCHH8WXn+nL6VtyyUXkOHTuSoeS5mdORJ1AhAAgCSQkyBQDG9UcAUuaFj/wyhhzFl+3PV9SL/L/y6Kagh3A6getsuNEZ0zfHAwKAIJCUoCVzKRf3uZASDkAoWIJcFQT0NOQovuwymGiFAH6bOxwm2KubDo888hz3zAwCgCCQlKBX0sG3BRgcJkO+7ycyii+7VJZRCwE0ks0JRWeS4pfnAU5HvROAheCxVckZkhKkJBYdGfkkFhgib6RVAaCnfiKZUxdR0YrLmpwShZdK167RZ5unRaMO5Sq2NjGJEjWPD5ISpBYXNX18AJA8qiEX/UfJKL7s/qJ/Iwlg/8h/F9ECOwCSYtswvTGvziAACAJJCWrUsj47mKWUcABC8cEM+EJPQ47iy+q9/i/1VPLXrPmOzkaeap4e9/z5jHl6BgFAEEhK0OfFZ7JCgCsp4QCE4lONZPsbcgxf9scuOnn5+t2Xf5uVsvxPszF/YqbJuvGARtxOtQpSEQD4hKQEfRn8prkTGQAJ48GQYwQA35X7bAfjf3qcqjRevqJGnEbNzDe2KjlDUoK+DQ5m3PtYwCBpGHIhYshMloiKNphycpTf9YD5/wRpFlQZb1MgdhNiq5IzJCWoUcPizNirWYIBsmkM/ad/62nIMXyZsaVBIwZYIv8vRZqOdLxZAAgAgkBSgn4MPmYjJRyAUHgw5Bi+bGH4GZw5Xs40aRZqHu9GAAQAQSApQacW480swF8p4QCE4tcwWvY05Bi+jA0jah7Av/89fcPnf6o01wBeY6sTCwQAQSApQTuD3xx1JSswTJghF0KGHMOX7T8fi7YcwPk73sx0+SL+ETUZ66Nib2BsVXKGpAT96X4G3YDB8PBgyCyckNDQlvL7VV8IKOavI95bNgT2zQc21q1UMaLmEUJSghSzPYBuwGB47Nmnx/nf+hpyRF9Wbtevj4v5bEKT6WzxvPpC5n/yNKO2sXZUQwAQBJISVOoBwJ2UbACC4cGQ4cuAA0o7KscElHMlyzc/uoUDL00QSExScflwqtavevZQAyAG+rp5X0OGLwMO1JUojqa4cjp5dy4B/e1Ht3CwexBblZwhMUkTUunZQw2AGEyY65ExZAQAwIE//hVFNHM6+dLsafDbB9krGFuVnCExSc02IwfQCwgMkIYhFxKGzERJKAgyZ9r0oy5Jm5dC1hNvyoUCUXMQSEyS2mgEvYDAIJk3vv4lDBm+DLjwSA0cuqrvL7HD8Jdf8dIEgcQk3WkBwIeYbACCIW/I8GXABSUL0GENoCoi5BA0JApemiCQmKTT5hWeBTj4PBQwRvS9830NGb4MuLBW7M96H0DdR2D4H194aYJAYpIeNL853k5WYMDUhlwIGTJ8GXBhqzhS29G8rJdhh1/sib2BsVXJGRKTpCxcESoBg0HSNORCwJBZOCGhIMicPYs+D/94tDxvlZPvRdQcBBKT9KSO/6gEDIbIU+PrX8KQ4cuAE5edqGcjnNh1bmJtrNy2DiYJXpogkJgkrQH5XEw0AOGQN2T4MuCEmodqN6HPklds5wwSBi9NEEhM0rIOWk+B6/B3ooAxslQDgN6GDF8GnFCXU1c2J31cji6yaCLMfk1sVXKGxCQpe1eInsVEAxAOZsiFjCEjAABOqDGozQf9jpdi/fSuonfYCxhblZwhMUlvTZstcohCwQhRDFngc4pFEwL6gexZ1YPfEZsl/casQQYbsBA1B4HEJH2QwvC3ooIx8sG//kUMGb4MOPFef0bZ7kNp1A4o7LIGkwYvTRBITNKnGgB8iYkGIByKIRf9DRm+DDihVgKiza0zqhrAx3ghh/xrvDRBIDFJX82Y1bmPNQBJ8EUKvQ0Zvgw48a2a4PutM14ah+fQhxUvTRBITNKGFDKYhgIjhBtyIWLI8GXAiR/Vl97KQ1Wc71sQLf1Sv38UW5WcITFJav3KDGpRgDGyrT2PkCGzYKK/eiB/fkmxwbvrx1c1gM+n5LD6iqg5CCQmidWhOoIyAGCQyBsyfBlwYlfZy3lF9UYxSnUL9i6Mml7BSxMEEpP0pwStw29ICUbJn+JN+xsyfBlwQjXBG9sA1JB1EkpPn+ClCQKJSSobUatF3goAKVI27VjAkOHLgBN6AHB1Y3+zgXVBi1B6+oS9hbFVyRkSFNUkh3UoMEaa3lTAkBEAACf2WgDw3XZo+fUyawasrUxD/oTesJ8UW5WcITlRk6a5YRcgGCaTpjftb8jMP/fXDuRPqQ3o5mJUu48HZdS/FgQ8BP4V/WCKx1YlZ0hO1KxhbTkUowKjpGnIAttZ4cuAE83l1MOflX7Qz0ptGniDYdVmx0sTBJITNb8Y7PEf2AUIBsq84TYFDBm+DDihLwEohQD2X89T7ZhbrOP8mI7gpQkCyYmq4tFjEJBBR2owTuoPq0LGkOHLgBN6EmBz+l6tuUK3EwBoaJsD8dIEgeRENSekhjXfBEBF05BX/QXClwEndqTSLEahNV6zCQIGtjmQ/aLYquQMyYlqbkbBJgAwUBYNZypgyMw99xcG8udXG9CbO/uW7cN80fpnYJXZ2G+KrUrOkJyo+4YhDmu+CYAKcUOGLwNOsF4A5wG82d+vaaFW8/9Ey0g/piN4aYJAcqIeuCUObL4JgIoH7jYlDBm+DDihNQNSUlGbO66thn+iz0g/piN4aYJAcqIeuT0ObL4JgIqLIR8tWcKQ4cuAE1o74CtFfPbcWq8fOijYz4qtSs6QnKhHbrDoBACGirghIwAAB/7Wb8+L+XRCxWQ2f1h+bNpKTHxpAUD7RJQWLGTy7cWCmtiq5AzJiXriVjiw+SYAKp7495S5BJsb7AtNQBoYIuXXsllf4mgSD+/GFJN145P++O+tgt+bEge31t8GouYgkJyoZ26IV5tXAJAwDUOWqGgNXzZ2fpetdXsevvR5gHpQvyTxU6voZ1WgRMiaAHhpgkByorglTlEIGAwVbsgTCUOGLxs328aiksb0XTWylXZM+wyAVg/4x++PCQVemiCQnKinOmZFHUAwXOq1rELGkOHLxsyusTZqDgE+miHAi3ZEaw5AWRVfv6wZZPLthZcmCCQnioe5/XuoAxAJbshvEgLhy0bMh9UuvfmGn6PPGLR2pPjVJPn/SUGowhq8ND4hOVG8OkUm01BgjNwz3yNiyFQLlBAHhsNOrdnTyvO+PmvBLPBGALBW5eQy+cp+UmxVcobkRLHFKJGVUwCiIG7I8GVjZdMs2XOVSd2tr25IfZnZv2u7wkoVswrxuwKAlyYIJCeK2frD7aMBSBRxQ4YvGynGpj1qlf6aahJAXzVYtF1CWy3IpQkLXpogkMOx5eb16f7h5d28xW9fWTdSAEDS2BgyCRoyfNk4afTs0cd7ndkpE6DU/0trdZ+ZKl1i32oKsPsWW5WcIesjy/dqK+uDych4/eo/Mf0AECa8ISMAGCXXevYtluvtbl/+7b7fn3mJgNVhzUlL7GufitqrB2az+lrFNXhpfEK2B/7yOlZTw7cTK16RSTFKkCOWhlwIGjLVzkxGIBgA+l6+C4v3ZmC5XdarTg/7KgTl8wVtqX1a26DWtYKhwX5TbFVyhiyPU7JZJnp2NFuMQh1gkCoxDBm+bIS8cjPjY/m9YWdJ+VFNA8x+eCuAy9R+W0sKLcvg2euPCghemiCQ3WG/ajbrdK8cUdZHFOp/AyARohgyfNn4eCczzQ3/NfvVJUgoPg25g6uWy2jTDNmkX+GlCQLZHbbQLFKNNDcX8yV6klYSACHsDZnkDBm+bHTwfn4F++eyfYl+W20/nZFGW4H/BZN9vE5LfDE88NIEgayO0qpN/OO7eQibOEUjIJAocQwZvmxs/Jjz/Sff104qr2QNtm3u0+oMZDP7evw1SAL0DVkdVZezqg171jC1XW2CmAAAqWJvyJIzWeyKUiJByuwN3/AHS7u1Re+zcTgPIlpi0R0ptFYMHBzsR8VWJWfI5qC/ppGdDbNRJp01vMhlIyrIjkiGDF82Mp40Gzv8c3F7U6lWOfAytb8zH/+lHJ5RCTa8NEEgm4O0vSYn22T2vK7NNZs0VJAd1oZMooYMXzYuLh/yzXWAuU1RiW1L7eCW1IE39UKvoj8kJnhpgkA2B128orKwtajmTn9Y5nRLrApAdCIZMnzZqPjVEgAK2/H/XwQwNZnotOXoJ+UiGe3AZj8rtio5QzYHfasGfebh7Di/mLW2pasCEB1rQy5EDRkBwKgwNgCc2C4o7Uz5A229gObqgfkkYNdBDcVWJWfI5qBGacqC/f/p+7bcrvnWqlyaUYIciWTI7HqCUkGaaOvyR+x79Pw1ewFes0ataUCRSyFgRM2BIJuDtILTrczQBQCki70hTyUNGb5sRJTKF/xpEF85SDAIWJqP3KpmO5f4BWmAlyYIZHXUg6XbLK7ucwUgMnEMGb5sRKz4wH35hF84fJmbotSWpX0t2zCjDGy8NEEgq6PWTTNrdZv5pKCALIljyPBl4+HPZFyFofx/K1uDjbbU9+OVg44nvJmPGyJ4aYJAVkftpw0zK9i/Y/wHwyGOIcOXjYdXMuC0Oc9UrbJlQUqb0MpoBpa9mbFVyRmyO0xPn9YDXYz/IHmiGDK7kLBkkBh70z7+mVN93jqEqBYR2nYBTtUrZbQHm/2q2KrkDFke197c+sJk7VNPAESIYcjwZaPh0gSwEVa67Sjle/vPLMxH/qnHTQR+QSrgpQkCWR5XGsyywX1GwSfIlxiGDF82FhpbAC4f8HO3vXna3n6iF/OR3+xCJ9sV+AmpgJcmCGR74KFVlTG/5fineMtnAyrImgiGDF82Fow1ANxmlEpDYkpLbt87O6S4EigMEvbDYquSM2R/6Nes9pMKT/kUoALZE9yQEQCMBdP00swtpPw1iGjJ7XtWj8upDCuLgmKrkjPkcOz+lWW41P6zeMHsPxgSoQ25vhD5uQBIg71pW4nj1rxGmurZOFs2AdypAYDLbsPUYT8rtio5Q05H79dqnevJ4zuK/4GhEdaQ4ctGgmkHX+G0BaBq8MeZmY8stQmsnNZh8dIEgVxP2G/eHhfzSVHMFg/Pbz85mRwYEwENGb5sJDT25Z+/3l2L871czq15Mh/5yy50/GdLoDBM8NIEgWIrAEDuwJeNA/2TnNxr81QdqWph7+Yj+XzD8eCsOrHhpQkCxVYAgNyBLxsHG3Xk/sfEdWpJK+7TWghYKzroVHAwdditjK1KzlBsBQDIHTYuxFYFeMSwfO+8M08p7nNcR2iJIR7Va2VVig1RcxAotgIA5A582TjgiaWXaYAvRxl6rWq6azl0ph742/cHpARemiBQbAUAyB34slGgpwD8+wvHPQCXWQQuqmUSYc+ucvpnVhnZeGmCQLEVACB34MtGgamET0sV/3bYvP5lYG/pTbVRQg33ayUN+2WxVckZiq0AALmDAGAUaKX5qUNeniEHsKU81Yd6nOuGw7RhtzK2KjlDsRUAIHfYuBBbFeCPd3VEJvdNgFqDv6I1BUDra9myW3CgIGoOAsVWAIDcgS8bBXxEvhSYdi0ubegmtGw5dMHiyiMtuwUHCl6aIFBsBQDIHfiyUaBWl/7HxFXGqhE+HGmbRJioF8urJjtemiBQbAUAyB34slGg9eYhuneV8aCJaMvt3zUO+vdn2lf/tMBLEwSKrQAAucN8WVY7tUCDeT0YX3AtA6R+1v+T9dBypLZY0HbgMCnZvYytS85QbAUAyB02MCAAyBdDAr9jK+DmZ/2JttS+lXpgW67AMNmzXxZbl5yh2AoAkDvMl7nWhQHDgX36XxbxW7bwt2LoJ9xW3u+JhZVHXK+VNggAwkCxFQAgdxAAjAJ98HbeBfjSjB/+MW87dN4MN4i2PdVPCwQAYaDYCgCQO8yX5ZWpDTiGZsCu1fnnmoS2SkKlemBehYDrggioBOgViq0AALmDAGAUTNjn+BnHMgBqCkDR/l3/owYArVMFw2THbmZsXXKGYisAQO5Q7cxcC8OA4aB153OO97Tqvq1lAP/7VI986qt+WvBYKLYuOUOxFQAgd9hHIQKAfKnn76s1fMeUD9YJ6EzrNoIliyqvHzlMWGelIrYuOUOxFQAgd1gAkFXLdtBAL+LjuOtzXyjxw5WAkZUdPB361Vv/pEAAEAaKrQAAucMCgLxStQFnSUoGgGsAoE3rX6kkqBUdyGxuieU4ONdTBvZQbAUAyB1W3u0nti7AG4ZugG45AOoKQEEfbYdqXQNzGyU39dxGZjWO04JiKwBA7kzrmVrXjeFgOHzrAYDTZ/le20dYtAYQ2rWcuw4kDqt0jADAIxRbAQByh03XrmPrArzBt653Kc6jzyA83zy2yhpw7jqQOKwm4iy2LjlDsRUAIHdYAJBXvVbQQC/js3E5/dJNsI4f2lNGn/k8weH/tS4WDBS2IxIBgEcotgIA5A7bIN7W2gVkwIsWALis+Gy0s6/091uox+aWXMKmODIrcZQWFFsBAHKHfRlmtlsbcNbV9/hl8HKZ8HlymT+YqMfmVQj40uzweDNbiyGB/lBsBQDInUXtzNpKu4MM+NOy+Bwe9047+crAp20CyG6a/LX+bYvYuuQMxVYAgNxhFWJyy9UCnGof32UwvzKJr7LUJgCuTB9slOu4XGgYsOWU7H5bSlBsBQDIHba/uz2vGwwflrru+mFezR5cUgCL6ZVZfV4y6HjiUkD7pGDvTGZdDtKCYisAQO6wlG18zeTMfqIOzNbNANiU95lref3a0bltAuCljhE0e4RiKwBA7rDpTCQ0Zc2yMS9P9sn5evrA4lpa37N6dGadABqJs9nNbqQExVYAgNx5rb8Is0vWApydOjDbbvvURvTrJQTu1aOz6zHBamesYuuSMxRbAQByZ1U7M3Q2yxt1ILfMYN9q4//1ee95FVKeZw7cmg6kT3l5XxyCKNABkhFTagaMmmcAnOA1Xh07xINhsWUDl8PIXO8TOQ/qk+tdBLRegLmVAeD7HLPLb0gJkhHzoxpkfqWpAOgITw7PrGsrUGD5HvYlevU+wKvrJ2RfB+iX/Tb0z/AIyYjZLLI3SQA6wlu3IS7Om8NGAJ7QZ7PtQ68BdDUD8B/No4v8JpZ4XWSnhgrADRKTtPt6e5rXloxsJwBObC/fg0WG6dqgyYcyOLc39LlQVoX9L+5zemueSA0YsptY4lWVs0twTAmSFVfnwDzKCgYgGOV2vXq+v5tO/nmgophM54uH59eP785OFguaI6J8oAa3y9joJQBu9hCqqgVdzsgtrqzSZor8EhyTgmTF3VU2vJIVDEAYtqt7bTnr4ozunt42HSZbeYrsSlxhkBa7SeNr/kpP3xMfqpVZ2IiWBJjbXnleGBmLyR4hUWllUYVtyNwAw+NvNVNdq0aH3iQsokBZs+z5atrLjSmA6ui6rv/tEY93Az6eN80sCYC1RpzG1iVrSFQay928vfQFQFrs9I6sMgEAK2t2L682SIxVc3C+msS20RIA7y3Gct1QV0K6JwKLcFA80yckKq2OfQvM24BhUer92Ix0+Ia/p2rJdi6vOEiNZjmga1/navugghY23/JvulmasgB+XucDTaGfVeET2md4hUSlrRC2gYHy05j8v3v53Oz2Zbn/236/PTWWXDsUJmOtzVAKcAQoiYD3rV9D1UBezQPcWaW8bZonHVk1r7L7fJ4OdvjkWTNYNPMJiUqrHR1aOIJB8cm86fRVXcDaruoYoMM3FZ9bQE7zCNg/NIbnJ3ME8KfP5NuN//+VVVZJw2w3f/8i1t32+2P5UNnrIDfR8Z4Kr7GVyRoSlTavjPJNVC4AfqlSsQsqXk1OuPy8zBB0SLfitYBRCWgMlM2x3biuv1Z3mxT0aGtcz8qJ7QzyA5pXlkUrAJ+QpDA2cXNzJysA6cCWYqdtI3R5crpdKlzxvPDcdmwDI2drqUr7aA5x06z/f+TVOnPKUHu9jSFOOVXvI0pneYYkhTGrzK0yFciZX1bBst1yN0eH1GVRdUt13RZ80IyEj+Z3+SMPLPfrBWkULv3THvTzjUwGaW+ry+hPA13DGAwkKazuaTGRFAuAV8q6ftXkyvbVU3zbZUmSlwJ86awmGBZbpabE/PXrd18eskrvDXP2xcJppKvKS1/nYZjbsfkCSmYVDhKDJIW9VnEbdjuD4cBqsV37CNvePKIV5qnxaoyG/ZJ9yN5g8ua4cfqygaBQ/smZDXX6nM2P4FvSKyQprJ6WwmcOGAxlneF/dXQ+lbnqNCPJKgGhS9aI2NZzS22cN7u7r5k+qjLUIGDqGlOkA0uP7FB3C9hDksJqR4qWJ2AwsG7sV7+YjnuTulW44iu2mNIcEeWaxX6tPHbZGlI+XpU5WQ3X0Pb83sRWJm9IUBZ7bAOtPwXGSD3fOL06uh9X8rtVuHqhOgsQSU2jolzfmgV46mgR5cok7WRms/fhDv+XbJvTfAbKAHiFBGVtaiscsvWBcfFXu87r5auOB3arcMU7vqFN1tj4Wbb2l6TFe48NUz+GvQQHqQ/rwU7+H+EFkjGZ7BUSlHUpd1KggRMYDmtbZ3Msc9GtwtU382iokTU+yu9XwzzA9KHP6H/k+0FNAJg+fgxx53+DV3aTUFHGKyQo66V6aMMsQA1GCavTe2Mptrs/4qVNB1maDfRmv3lf3t/NJv++j2aL+6e3b5laKX+fL/f/hBaT6ez+ebUe5rY/BZ7dgIoyXiFBWffVQ1sKSgXAKw/199MNZ1N09kcly89GnywArlIlThZoK+sZEpRVL3R12isNQAzm9fSpv9SVu3qSFi4NgGvs2ZoGdgH6heRE7erHhkRnMBhYgpa/oZmXNstilhYAX/BGB1gw8wvJifoO4UgBEIbNzvvLnloxn4ZtAABcgRXmQMqsZ0hO1Fv10OZyQgHwDPM2/spX8PZm2NkMwBVYWi56AXqG5ETVs5wo3gSGA5sB8Je8umU+DXtkALjCPXtZsAnALyQnqt7oupITCoBn6gLWNPWWBci3AaBKBgBXmJ6nyrAJwD8kJqmsC1JgkRMMB15NbRXkKoMv1AKAP3jRDOyZ9QyJSfqtnxrSnMFweLp8bxzwVnfsherLoFMGAK18sQAAbWU9Q2KS6oqqmLYBA6Kq038YnSe+glfeDQCZzQC0wgsBoxOAZ0hM0grTNmCIsKmrQwTQpTOrBXxvM5JkAWiF5wCiooxnSEzSY/UZhdoNYEg0W6oVfjYelewSyAIEoJVJvVqGyWTfkJikGWY4wSD5oiYvXvYCzNkVsLcJgBb4jBwKAfuGpASxLxw0cASDYkF1FuCBmQ8Lfqb6KtgmA0ALvA4gusr5hqQEsTVO7HICg+Jiu3UQ8CCfC1j5tQJ+DYBWeB1AdJXzDUkJquO2iZRIAMLAfc5lHUB6mh4zmwBYwFNysKHcNyQlaFl93txLiQQgDCVPPL58qC9lZ7JK1nUQuU0AmOG9gCd4T3xDUoIe6m8nKZEABOJvRjrFq2g24AMTjVJAABhhTWXRNcM/JCWorqiO2g1gcOwuSfoFsVyAyUowBFhRLRobZQAwwssA4TXxDgnJ+cPXDRgyf+pWgBPTD7FZyA0Ti2UyAIzw1ThPRblADQnJYd7NW0c1APyxfyJOFQvMpfYE7rl0LG4CYKBkbx/eEv+QkJz3ym/OhCQCEJY1S9PjPAltCODpzZgmA8AA5snCQkJyXqqnhsQNMFB2PE+Pf6+/i4hfscmFlYhEADJjxd67VWxlRgAJyam/bl6FJAIQnO95c/6/imoltgRumGhUAgDAQJ0CUGCaLAAkJKeePUXxJjBcyrd6OwuPAyYCzqhk8gpkygCg0UiUwTviH5IRs6s9Jho4giGzfy348H8ZtCWaBPIVBjTMAEDji717SAEIAMmIqRuqIXMTDJy/pb4dUGRq641JQzsAADRe2CuCKgABIBkxtWubywgEIB67Z0MIUPT+aN8yaXhPANDgFTkxlxwAkhFT76F+khEIQEx+m1UBjkz6bgc8tQM4xxbocwKAwi97QbCfPAQkI+au8pIrGYEAxOW3XrG/TAfc9V3eembhhMzWQgAy4oO9IOgpEwISkVLWnlIgVwqAFDjtCSwEB+01CylQLwMABZ4mi5EkBCQihfU6x8wmyIWSNSY5xgHTnhuT9tgICEAr9ftR4P0IA4lIWdduDZsAQD5slDbBfatc4QsHgFa+2OuBTYBBIBEp9ZcSKpyBnPi7I860Z3z7zhYVnmU0BCAXnthsGzYBBoFEpDxWzw1eDWTFftGIAHoWBNwJBhMA5EXJu3EJdeAC1yERKfVEKXKbQV7s55JrAHxCAaXOAWB8s5fjLrYyI4EkhLACzqhwCjJjW9TT9vTYU9iK+TjscwKAgTKA4SEJIT/1c5PomgZASlzKXB6CgL4F/LZMFtYAAKgpWR8urAAEgiSE1OUbphLiAEgJ7pgmfYXdXYZ/TJcBwLl8Rx7eDiSTB4IkhCwrp4a9GyA/lnUAUPSVxRsCYQ0AgAqsAESAJITcV88NPc5AfvDtyX1l8X0AE6wBAHAGewBiQBJC6inSDwlxACQFG7R7LwH8x7cVYg0AgDM8zMYKQChIQMZf/eB+BMQBEILDB4dd4eqyXpvs36Lsnfk5VM0A4MxT9ZJhN3k4SEDGpvZoqN8MBsIxbHUKAA70357MwmXUOwfgTKNPBjaThYIEZLwLfh8BEIZv+wCAjdlP/S/M+wF89hcHQA58steib7UNYA0JyHjGgwOD490+AGDNLvtWAvzv3Dnr/LmDXTMAHEGfrCiQgIyFpHsEIAjP9gHAt6hrqsoKFNYKAJA56JIRBxKQUS/erAWkARCCY9i6tTq06uFXiCS5sLICtBKQB8DgWdVBMb4jA0L9RbDYzc6fAhCfwt5gHysDF2lRwlYU8LEDwH9KGWBMi4WD+ou47N8sqIA3AwNhZx+xsvxkme1J98zZoRQAACgCEAvqL6Iubtq3UwoAofiyDwDWtW+SKVD2WU12Im8WgP+wNSYa1F/EU/XkBPZIARCElX0AcCdt4HsUPQWAgRTAWFB/EfPq0a36CwMgCKew1aZy5WUCoJBbnHxl/g4ZT2D0VC9EgVEkLNRbAiuThu2bYCicwtbN7QP/6s91scq9O+bv0BEIjB3eB6jAlFhIqLeEbeXKMJsJhsI5bL27ua2vrKtcTOUKlNbLZmigBUbPB3sdsI4cFOotoU6R6t8pDYAwnMNWur8RAZT1FsBCcILrh3k8ka2FAAyXef0RiX5yYaHeEur1TGzfAEOhClvnV/MA/9iOvTfJ6y+o2gdgsw4BQL6wSpsojh0Y6i2h3sCB5qZgKLxWXxy0ap8E+GLlSWST9fi+Z+wEBKOG18VAMdmwUG8Js8qVookzGAqPzOdM38whwIZtTi5WstcvZ0wBFNAEI2bLXoU5UmLDQn0F7OuHh6lMMBT4+PtveH/6Vh3P7v2OHTARL05yznsqMHUGRg7PiEURoMBQXwEsnUkuSRoAv7yQyv3r589uX5b73fbr7bkZINzLVydvFD/H9hkwWqrWGAUmAMJDfQWwHRyTxfNqvZXolwaAZ375d8d1Zl7WJfnWpxcfFwBgCDyzFwFbYkNDfQUsVXdJs3skcoD02S2ndSZ+O3cffr5K+BQAip+AscJ7Y84wARAa6ivglMHZ9KNYyAFDoPx+ntBVJi/+uvW9s+ssvV0FgKQ5TwAUmACIAvUVYPKgyGoGQ+Hn7XFqMOGDS1q8aqmBkhynAM6Rc4H8GTBK+AQA2gCFh2IrAEBs/jYfr08Pd7PJv2i2mExmdw8vq/XWuzfCFAAYPSiKHReKrQAAI+VSC+A4C4AsADBCeA2AO0wAhIdiKwDAWFkz74ceKGCEPLAY2F+6DWiFYisAwGhZsAgAiTNgdPAuAA+xlRklFFsBAEbLD/wfGDHlHBFwZCi2AgCMF54ChUraYGTwNFjUw44CxVYAgPHyW9RbAZEDBcbFnu0hRy2sOFBsBQAYMa8X/4ddUGBsVFVk/1n/W2xlRgrFVgCAEbNnXYcmqAYERgTPgEEXoEhQbAUAGDNfzAuiJxAYDyXvt40EmEhQbAUAGDWPzA3+xFYGgFC8sdUvZADGgmIrAMCo2bFMqAUmQsFI2LEGclMsfsWCYisAwLh5v3wGIQ8QjIcHqu0e7WOjQbEVAGDc8LVQbIYC4+CTrXyhBlY8KLYCAIycXzYZeh9bGQACwG1+gqg3HhRbAQDGznudDYVFADACSt4FYx1bmzFDsRUAYPQ8YBEAjIkVG/+xAyAmFFsBAEYP3wlwj50AIHN+6gWAYrqPrc2oodgKAADW7IvoPbYyAHhlz5sAogRQVCi2AgCA/57ZIgD6ooKseblY+r8/r7GVGTkUWwEAwH/7u7oYwAyToiBj+HQXFrwiQ7EVAAD8998vSwN4iq0MAN7gOwBnKAEYGYqtAADgv2ZXIOwFBLnCEwAKNL+IDcVWAABwYFkXA0AaAMiVJxboogRwdCi2AgCAA+U9pkZB7nzUn/9of50AFFsBAMCRPzY5iuQokCM/SABMC4qtAADgBE8ExNcRyI+/aW3hc2x2SQCKrQAA4AyrkIZEQJAd+6rxZUEz1LxOAYqtAADgwrrKA6QCJdJAXpSPdXw7QZ5rElBsBQAAFW9wkSBXXtkGQIS3aUCxFQAA1KxqJznFJCnIiM96/r/4iq0MOEGxFQAAMNhnEtKkQD5s2AYAjP+pQLEVAABwWASwwEYpkAnbeotLsY6tDLhAsRUAADRYVomA9IAIAGTB72UD4D/LxvifDhRbAQBAk2U9B/CIVQCQAbsZvv+ThGIrAABQYHsBHjEHAAYPK3JZfMdWBjAotgIAAJV1gQgAZENdAIimaACYFBRbAQCAxmZSJQIgAgDDZr+oxv/Zb2xlQAOKrQAAQGdbL5o+IA8ADBg2/t+htEViUGwFAAAGdrXbXCACAIPlr57/f4IhpwbFVgAAYKKsNwPM8eEEBgrL/3uLrQvQoNgKAADM1KmAWDoFw6Te/zdB+b8EodgKAABa+K2+niZIngYD5Lca/+fobZUiFFsBAEAb+6dq+/RnbF0AcGVT1f99xl6WJKHYCgAA2vmsXOgrXCgYFlX/vwmq/yUKxVYAAHCF3QO2A4JBsqq2sSCFJVUotgIAgKt8XHIB7+BHwWAoL8tXBeau0oViKwAAuM7vpSQAEqnBUKjqWNwhfzVhKLYCAIAblO+XTIAlPqbAEPg6W2yxgsWmDMVWAABwk93jZTn1L7YqANyifL18/mPzX9pQbAUAABZ8nXdUT9BOFSTOZfp/8o7P/8Sh2AoAAGzYX76qkFMFkuZrejLUJ8xWJQ/FVgAAYMd2gaJqIHX+ztn/801sTcBtKLYCAABb1qd1gOI9tiIAmFmfPv8nb5inGgL/A9BTDn/xKF5VAAAAAElFTkSuQmCC)
26) Самоиндукция. Токи при размыкании и замыкании цепи.
Текущий в замкнутом контуре электрический ток создаёт вокруг себя магнитное поле. . Поэтому магнитный поток через поверхность этого же контура (сцепленный с контуром) может быть записан как:
коэффициент пропорциональности L называется индуктивностью контура. При изменении тока и магнитного потока во времени возникает дополнительная к существующей ЭДС самоиндукции. Явление возникновения в зам кнутом контуре ЭДС при изменении силы тока в этом же контуре, называется явлением самоиндукции 1 Гн – это есть индуктивность контура, в котором магнитный поток самоиндукции равен 1 Вб при протекании в контуре тока в1 А. катушка индуктивности обладает электрической инерционностью, которая обусловлена законом Ленца, и любые изменения тока тормозятся тем больше, чем больше индуктивность контура
Наличие в электрической цепи индуктивности приводит к замедлению любого изменения тока в этой цепи. Пусть у нас есть контур, состоящий из ЭДС e (внутренним сопротивлением пренебрегаем), сопротивления R и индуктивности L . В цепи течёт ток . В момент размыкания цепи, когда ток в цепи резко уменьшается, в индуктивности возникает ЭДС самоиндукции. Таким образом, при выключении ток уменьшается до нуля не мгновенно, а в соответствии с законом: ![](data:image/png;base64,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) Можно показать, что при замыкании цепи ток будет нарастать постепенно, в соответствии с законом
![](data:image/png;base64,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)
29) уравнения Максвелла для электромагнитного поля.
Первое уравнение Максвелла представляет собой закон Гаусса для электрических полей. Максвелл записал его в дифференциальной форме.
Оно говорит том, что поток электрического поля Е через любую замкнутую поверхность зависит от суммарного электрического заряда внутри этой поверхности
Это уравнение говорит, что ротор (интеграл по замкнутому контуру) электрического поля Е равен потоку (т.е. скорости изменения во времени) магнитного поля В сквозь этот контур
Это уравнение говорит о том, что поток магнитного поля через любую замкнутую поверхность всегда равен нулю. Или, иначе говоря, что одиночных магнитных зарядов в природе не существует.
Четвертое уравнение Максвелла говорит о том, что вихревое магнитное поле может быть порождено как током в проводнике, так и изменением электрического поля. Причем, в смысле порождения магнитного поля ток в проводнике ничем не отличается от изменения электрического поля Е в диэлектрике. Поэтому изменение Е во времени называют током смещения.
| 27) Взаимная индукция. Трансформаторы. Энергия магнитного поля.
Явление возникновения эдс в одном из контуров при изменении силы тока в другом называется взаимной индукцией.
Допустим даны два контура (1 и 2) расположенных рядом.
Тогда при протекании тока в одном контуре его магнитный поток пронизывает другой контур:
![](data:image/png;base64,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)
Или
![](data:image/png;base64,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)
L12 и L21 называются взаимной индуктивностью контуров.
Трансформаторы:
Трансформаторы применяются для повышения или понижения напряжения переменного тока.
Отношение числа витков N2/N1, показывающее, во сколько раз эдс во вторичной обмотке трансформатора больше (или меньше), чем в первичной, называется коэффициентом трансформации
Повышающий трансформатор: N2/N1>1 => такой трансформатор увеличивает переменную эдс и понижает ток.
Понижающий трансформатор: N2/N1<1 => такой трансформатор уменьшает переменную эдс и повышает ток.
Энергия магнитного поля:
Проводник, по которому протекает ток обладает магнитным полем, а магнитное поле является носителем энергии. Следовательно энергия магнитного поля равна работе, которая затрачивается током на создание этого поля.
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