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"gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } } } } }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Magnetic field at center: [ 0. 0. 14.77336514]\n", "heterogeneity: 0.00012342397049732535\n" ] } ], "source": [ "#coil parameters\n", "a = 150 *1e-3 #m\n", "b = 78*1e-3 #m\n", "d = 60*1e-3#0.5445* 70 *1e-3 #m\n", "I = 1 #A\n", "N = 100\n", "\n", "#create current polyline\n", "vertices = np.array([[-a/2,-b/2,0],[a/2,-b/2,0],[a/2,b/2,0],[-a/2,b/2,0],[-a/2,-b/2,0]])\n", "\n", "# Create a rectangular current coil\n", "coil1 = magpy.current.Polyline(position=[0,0,d/2], vertices=vertices, current=N*I)\n", "\n", "# Create a second coil\n", "coil2 = magpy.current.Polyline(position=[0,0,-d/2], vertices=vertices, current=N*I)\n", "\n", "# Combine them into a collection (like multiple windings)\n", "system = magpy.Collection(coil1, coil2)\n", "\n", "system.show()\n", "\n", "# Evaluate field at a point\n", "origin = 0\n", "B0 = system.getB([origin, origin, origin])\n", "print(\"Magnetic field at center:\", B0*1e4)\n", "\n", "#cacluclate heterogeneity\n", "offset = 1e-3/np.sqrt(3) #m\n", "eval_pos = [origin+offset,origin+offset,origin+offset]\n", "err = np.linalg.norm(B0 - system.getB(eval_pos))/np.linalg.norm(B0)\n", "print(f\"heterogeneity:\", err)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulating coil with actual wire:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "HH = 1, Distance = 0.0 mm, z_min = -3.003 mm, z_max = 3.003 mm\n", "Radius = 0.000 mm, Radius_inner = -1.692 mm, Radius_outer = 1.692 mm\n", "Coil width = 3.383 mm, Coil height = 6.006 mm\n", "layers = 7, windings = 11, wire_width = 0.500, wire_height = 0.500 mm, round wire = True \n", " \n", "N = 74\n" ] }, { "data": { "image/png": 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WdPTbMep0s7YAgTfwCZcbLb3DONM7jDSrCa98bbmoJJeYPWrZIGwLJmElZQ/zOeHyonNwHJcau1H7/mUU59hE07IZyRbcdEyr0t9Q+7ll/bgwNWMZe8Tsmvb4yhBebevHO7/tx9w08TFHEPEOOckoUVHfjuP+OpsGhd+9OjKJhZUnUTgnhSeOPNeWhEnXsOYRilgM2dw1xBZUV2rPqNON7XXnkGo18SbIlBZmsTNktbCB2zbl8gY46SX7T7EPKEoYc7pxpncYCytP4siOlQHH1SuSnGvj6zyWH25G1+A4lNZjcnl8Y25+5Uk8vCyHIkvitoLeSUaBivp2NHQMRPROKsFsQOfgOG/ZQvWWEph1uqLbV+ez20y05ZFhQ7D9Y053gCRXtgpFF+QgPM+aqiY2rRrudWJK+HHf9XH/blpiNoLnzCrq29E5OC676L3U/oaOAdGlMgQRr5CT1BkmgmSe+rkRAHdbbtvxtn7eTeupskWaTwhJs5p4Szy21Z1jI65Q/Q21/9rIJAr2nmTtOV1ZFrCYX+2JOybwl0QU7D2JayOTYdvAbRtzurGt7hzrKHeXFUgKPKtpo1CS6622fkU2BNsvHHMEEc+Qk9SRmqYeNoJU8ybZ0DHAk7ACtC1LJ5SwUttxuTz8snfJVpPqNnA/k623tD/KDzfD5VF31qwBgZJcaj0kie3njgNGkkvtBwzumCOIeIacpI5UN3arclMX265u7GbPo0YdVSkyki0BElZaOK5LnNqjWkpycY/f3DWES/7at2pfJ6Ekl9TEJzXgXv9qvySXFg8Y3DFHEPEKOUmd2Frbyj7la4HXfw7A9y4qLz1R9TRektnAk+Q6q7GElVCSS4t0q1DCSkvO9g4HSFipnW7N4yiO6DnmCCJeISepEx39dtXeoUltd/Tb2fOdrixDZopV1TQeI7kE+KSYxCaBqGnjtNvDpvSqt5SgvDhb1WiovDibdSg1TT1sXVWtrlOC2RAgYaVmujUzxcp7t8qMObUeksTauGOOIOIRcpI6wAgha5HG426POd0BElZ5KswOTfUrWnCXMlwaHA/LBqU2CiWsHl6WE/EMXrMRAUsZXn2vRzMbuNuXBsfZc5YWZuGYv3h6JBiBgLWz5YebZU+misRGrsAzQcQj5CR1IJoSVowkV0ayRXEkkWo14b4FsyUVLfRg0sVPGFZvKUHPoY3IS08MKxrK86uoCNf6Cc+jF0zx9Pv8klxKI740v4qKcKF/NCW5CCKeICepA1eGP9E0jcfdL1bUendZAc4/tx6rF8yGxWSUFSnkpifi4oENkhJW4dqg1EYpTleWoWLdIiRbzbKioWSrGRUh9BC1skG4HUySKz8jWVZEZzEZsTrIA8y026P6O2mpNjFJLoKIF6jijg7YJ6bZCRRi0/XFtuW2CfcHQyjJ1XfDwatXqkTCKlwbwrVRDKF6hdgkErmKHZH8zZV+J5gkF9fhVdS3B1yf/MxkWYodzFhQa1wFawtVI5YgYhlykjqgp4SV3KRhJNJIektYyZHkAmJHwkru3y+S8m9eKC8PGC56S7QRhJ5QulUHMlOsuqVbk4KkKKUIR8JKr3SrAdBckqu0MEtzG7jbWktyAb7lOnqlW5VKchFELEGRpA7MlHQr4EuzHm3pg31iGmYjXz3CCF8N01SrmVc4XchMSbcCPgey7+0OAL6SdgBYewDfu1UAOPhQcVBnOxPSrQy+makuDIxMwsOxJ9FsgMvjhS3Jgu2r80NKcjF2RdpfSrcStzPkJHWgOMeGFv/Ce+4Nj7mRiW3LbRPuT7aKX9Ktta1sH5ibm8vDv+G5AbZm6fzKk1g8JwV7yotEJaxaeofDskGpjS6PuJusaerBj5q64fJIyz2BY8/2unMwG301TcWci8UI9qFB6+sUTJLL4XSzSipSjumGYxrVjd2obuzG6gWzJSW5HE6XauMqWJuUJBdBxAPkJHVgri1Jt0gyWZD5YgqqMzddJcnYzsFxbKs7h8UCSa7SwizdIknh+4DmriFU/LwdNxy+6EWJPdMe4KXGbhxt6UP1X5TwnL/HA0x69IkkhQ8d5Yeb2fWTSuzxAjjTO4yifQ28wggMao6rYG1CSS6CiCfonaQO6Km/J5SwOuF3kJG8k+q76QiQsLLoNHKEEla7Xj8Ph9MV0Xs1h9OFXa+fD3oerRD+3dZUNaHvpiOid4cAcKKtPyqSXIC+45sg9CZmnOQLL7yAlStXIjU1FVlZWdi0aRO6urqi3S3ZLJ6Tov2EkDkpbCqxor6dFUHmPvkzn6HahPuvjkzyHOVTZYs0n7iTajWx6xqbu4ZQtK8BEy5v2DZw2yZcXhTta2Ady+nKMqRaTZpP3BFKWF0dmZRtTzAb3QB21p1j12DuLitAkX/MaTlxZ/GcFBBEPBMzTrK5uRlPPPEEzp49i8bGRrhcLqxfvx4OhyPaXZPFnvKiiG7qcr6zp7yIPd+Jtn7ZArtyb5LXRiZ5klxihQnUtFEoyQUZfVSyn3tc+M+ntg3cbYvJGCBhpeZDUoLZgBNt/QFjTo2HJKk27pgjiHgkZpzkqVOnsH37dnz2s5/F0qVLUVdXhytXruDDDz+MdtdkUVqYhUwN5ZEyky3su64l+0/BDfWcL7ftcGO3LhJWJiBAkkuLG71QwiqyKqrB4UpyHfZLWKn5kMRElEv2nwKg75gjiHglZpykELvdDgCYPXu25O84nU6Mjo7yfqLJ+efWI1dQc1SNSCI3PZEnYTXqdGtmgweBElZqp/FMAI7sWMmes0VjSS7u8Y/sWBmyhmo410koyaXl8ntu0XFGkkvtdCt3zBFEPBOTTtLr9eLpp5/Gn/3Zn+Huu++W/L0XXngBNpuN/cnLy9Oxl+KcriyD2aheGs9sBK8e6YsNnaq+QxNrc3CccPWWEuSmJ6oW3U25vNjEcShMelfL92rc85QWZmHTshxMqZhuzeVoPAKAw+nW5J00t00oyQWFNgTbLxxzBBHPGLxerzfanVDKE088gZMnT+KDDz5Abm6u5O85nU44nU7236Ojo8jLy4PdbkdaWlrkHbFagSmREmMJCQDnvGIwkzYA/po4ZltOW6LZgM6D5ewxm7uGsL3uXMD3lB5Xzn7hshBmqUkkxwWAowJJLmayjhY2cNuSJP6WiPC4QkkuZrlHpP2Vs1/sb8lduhHOcYWSXAQRi4yOjsJms8nyBTEXST755JN455138N577wV1kABgtVqRlpbG+5kpMBJWFqPySMJiBCrWLeLd1IHoSnJVbynBsR0rkWY1KY58TABWL5iNvqqNAe+4Jl36PMMJz1NamIW+qo1Y7ZewUhrxpfk1OIXLI6IpYdV5sBwV/jGnNEK1GIFnQqioEEQ8EjNO0uv1Yvfu3Xjrrbfwy1/+Evn5+dHuUsTsLitAz6GNWD5vFowInQIDfO+Ceg5tFK0ac2X4E83TeMy2WFFrRhvxibUFMBvBpiyl7HF5vEj16yFKSXJpaYOwLZiEVarVxFYokrpOU/5U5BNrC4JKWKnV31D7xSSsmDHHlOsLlW41Alg+b5bkmCOIeCdmKu488cQTePPNN/Gv//qvSE1NxfXr1wEANpsNSUmxXfFDKGHVevkG5tqS0Dlgx6zkBKxamCnrBmWfmI64eoqS70jBlbBq7hpCbfNlnj1KJLm0toHbFkzC6uKBDey/t9a2svYUZdtw3T6Bx0sXyprpqWZ/Q+0PVlOVGxEyY+5jxxRrj9wxRxDxTsw4yZ/85CcAgPvvv5/XXldXh+3bt+vfIY0QaiQqQW/JIjkSVkKNRCXoLckl93yxIskldzxEMuYIIt6JqXSr2E88OUghSm+qmSlW3dKtiWaD5hJWRdk2XdOtWktYlRZmqb60JNh+pRJWejtxgogFYiaSjHcq6tvReMmXQh7zLxFgUpqpVt8S93WL5wZNU86UdCvgS+E1XBxA300HJl2BShIWkxHFObagacqZkm4FbqWNO/rtvOvD/czPSEb5kuyQElYzId0KBI45AKw9ZiMwNy0R9+RnUG1W4raGnGSUWVPVhOujk5j2Z8aY6fbcG96Y0w0vgLfa+nG8rV9yGn5xjg0XrnzMc0bCbbltofZnSFRy2Vrbio5+O0adbt7SAeENfMLlRkvvMM70DiPNasIrX1suKsklZo9aNgjbgklYSdnDfE64vOgcHMelxm7Uvn8ZxTk2SQmrm45pVfobar+UhBWz/IixR8yuaY+vDOHVtn6889t+zE2jpR/E7Qk5ySghXFeohKsjk1hYeRKFgrWKc21JmHQN6xJJCmnuGmILqiu1Z9Tpxva6c0i1mngTZEoLs9gZslrYwG2bcnkDnPSS/afYBxQljDndONM7jIWVJ3FEsFYRCHwI0uo6CSWsyg83o2twHErrMbk8vjE3v/JkwLpPgoh3YuadZDxRUd+Oho6BiN5JJZgN6Bwc5y1bqN5SArNOV1QoycWUWovkHdqY0x0gyaWXhJXwPGuqmti0arjXiSnhFw0JK7ORL2FVUd+OzsFx2UXvpfY3dAyILpUhiHiFnKTOMBEk89TPjQC423Lbjrf1825aT5Ut0nxCSJrVxFvisa3uHBtxhepvqP3XRiZRsPcka8/pyrKAxfxqT9wxgb8komDvSVwbmQzbBm7bmNONbXXnWEe5u6yAV3BBq+sklOR6q61fkQ3B9gvHHEHEM+QkdaSmqYeNINW8STZ0DPAkrAD11SW4bUIJK7Udl8vjSw0yJFtNqtvA/Uy23tL+KD/cDJdH3VmzBgRKcqn1kCS2nzsOGEkutR8wuGOOIOIZcpI6Ut3YrcpNXWy7urGbPc/mZTma2ZCRbAmQsNLCcV0aHNdFkot7/OauIVwaHFfNBu62UJJLauKTGnCvf7VfkkuLBwzumCOIeIWcpE5srW1ln/K1wOs/B+B7F5WXnqh6Gi/JbOBJcp3VWMJKKMmlRbpVKGGlJWd7hwMkrNROt+ZxFEf0HHMEEa+Qk9SJjn67au/QpLY7+u3s+U5XliEzxapqGo+RXAJ8Ukxik0DUtHHa7WFTetVbSlBenK1qNFRenM06lJqmHrauqlbXKcFsCJCwUjPdmpli5b1bZcacWg9JYm3cMUcQ8Qg5SR1ghJC1SONxt8ecbt67vNOVZchTYXZoql/RgruU4dLgeFg2KLXx1fduvfeq3lKCh5flRDyD12wMlLB69b0ezWzgbl8aHGfPWVqYhWP+4umRYESghFX54WbZk6kisZEr8EwQ8Qg5SR2IpoQVI8mVkWxRHEmkWk24b8FsSUULPZh08ROG1VtK0HNoI/LSE8OKhvL8KirCtX7C8+gFUzz9Pr8kl9KIL82voiJc6B9NSS6CiCfISerAleFPNE3jcfeLFbXeXVaA88+tx+oFs2ExGWVFCrnpibh4YIOkhFW4Nii1UYrTlWWoWLcIyVazrGgo2WpGRQg9RK1sEG4Hk+TKz0iWFdFZTEasDvIAM+32qP5OWqpNTJKLIOIFqrijA/aJaXYChdh0fbFtuW3C/cEQSnL13XDw6pUqkbAK14ZwbRRDqF4hNolErmJHJH9zpd8JJsnFdXgV9e0B1yc/M1mWYgczFtQaV8HaQtWIJYhYhpykDugpYSU3aRiJNJLeElZyJLmA2JGwkvv3i6T8mxfKywOGi94SbQShJ5Ru1YHMFKtu6dakIClKKcKRsNIr3WoANJfkKi3M0twG7rbWklyAb7mOXulWpZJcBBFLUCSpAzMl3Qr40qxHW/pgn5iG2chXjzDCV8M01WrmFU4XMlPSrYDPgex7uwOAr6QdANYewPduFQAOPlQc1NnOhHQrg29mqgsDI5PwcOxJNBvg8nhhS7Jg++r8kJJcjF2R9pfSrcTtDDlJHSjOsaHFv/Cee8NjbmRi23LbhPuTreKXdGttK9sH5ubm8vBveG6ArVk6v/IkFs9JwZ7yIlEJq5be4bBsUGqjyyPuJmuaevCjpm64PNJyT+DYs73uHMxGX01TMediMYJ9aND6OgWT5HI43aySipRjuuGYRnVjN6obu7F6wWxJSS6H06XauArWJiXJRRDxADlJHZhrS9ItkkwWZL6YgurMTVdJMrZzcBzb6s5hsUCSq7QwS7dIUvg+oLlrCBU/b8cNhy96UWLPtAd4qbEbR1v6UP0XJTzn7/EAkx59IknhQ0f54WZ2/aQSe7wAzvQOo2hfA68wAoOa4ypYm1CSiyDiCXonqQN66u8JJaxO+B1kJO+k+m46AiSsLDqNHKGE1a7Xz8PhdEX0Xs3hdGHX6+eDnkcrhH+3NVVN6LvpiOjdIQCcaOuPiiQXoO/4Jgi9ISepE4vnpGg/IWROCptKrKhvZ0WQuU/+zGeoNuH+qyOTPEf5VNkizSfupFpN7LrG5q4hFO1rwITLG7YN3LYJlxdF+xpYx3K6sgypVpPmE3eEElZXRyZl2xPMRjeAnXXn2DWYu8sKUOQfc1pO3Fk8JwUEEc+Qk9SJPeVFEd3U5XxnT3kRe74Tbf2yBXbl3iSvjUzyJLnEChOoaaNQkgsy+qhkP/e48J9PbRu42xaTMUDCSs2HpASzASfa+gPGnBoPSVJt3DFHEPEIOUmdKC3MQqaG8kiZyRb2XdeS/afghnrOl9t2uLFbFwkrExAgyaXFjV4oYRVZFdXgcCW5DvslrNR8SGIiyiX7TwHQd8wRRLxCTlJHzj+3HrmCmqNqRBK56Yk8CatRp1szGzwIlLBSO41nAnBkx0r2nC0aS3Jxj39kx8qQNVTDuU5CSS4tl99zi44zklxqp1u5Y44g4hlykjpzurIMZqN6aTyzEbx6pC82dKr6Dk2szcFxwtVbSpCbnqhadDfl8mITx6Ew6V0t36txz1NamIVNy3IwpWK6NZej8QgADqdbk3fS3DahJBcU2hBsv3DMEUQ8Q04yCvQc2sguco+EJLMBPYc2sv9u7hpC5+C4Jmk8bpsbCJDk2rwsJ2J7DPBFckIJK63fq3n952Go3lKCIztWsg40EjYvywmQsJJKhatpY+fgOBtNlhZmofNgeVjVmITk+lVUCOJ2gZxklGAkrCxG5ZGExQhUrFuEzoPlvGNGU5KreksJju1YiTSrSXHkYwKwesFs9FVtDHjHNeny6mFOwHlKC7PQV7URq/0SVkojvjS/BqdweUQ0Jaw6D5ajwj/mlEaoFiPwTAgVFYKIR8hJRpHdZQXoObQRy+fNghGhowbg1pO8WNWYK8OfaJ7GY7bFiloz2ohPrC2A2Qg2ZSllj8vjRapfD1FKkktLG4RtwSSsUq0mtkKR1HWa8qcin1hbEFTCSq3+htovJmHFjDkmkxEqQjUCWD5vluSYI4h4hyruzACEElatl29gri0JnQN2zEpOwKqFmbJuUPaJaZ5DFduW2ybnO1JwJayau4ZQ23yZZ48SSS6tbeC2BZOwunhgA/vvrbWtrD1F2TZct0/g8dKFsmZ6qtnfUPuD1VTlRoTMmPvYMcXaI3fMEUS8Q05yhiHUSFSC3pJFciSshBqJStBbkkvu+WJFkkvueIhkzBFEvEPp1hmM0ptqZopVt3RrotmguYRVUbZN13Sr1hJWpYVZqi8tCbZfqYSV3k6cIGIBiiRnCBX17Wi8dB0AMOZfIsCkNFOtviXu6xbPDZqmnCnpVsCXwmu4OIC+mw5MugKVJCwmI4pzbEHTlDMl3QrcSht39Nt514f7mZ+RjPIl2SElrGZCuhUIHHMAWHvMRmBuWiLuyc+g2qzEbQ05ySizpqoJ10cnMe3PjBkQOFlnzOmGF8Bbbf043taPvPRE0VmGxTk2XLjyMc8ZCbfltoXanyFRyWVrbSs6+u0YdbpZW4DAG/iEy42W3mGc6R1GmtWEV762XFSSS8wetWwQtgWTsJKyh/mccHnROTiOS43dqH3/MopzbJISVjcd06r0N9R+KQkrpmYsY4+YXdMeXxnCq239eOe3/ZibJj7mCCLeIScZJRgJK+CWkoNcro5MYmHlSRQKJKzm2pIw6RrWJZIU0tw1xBZUV2rPqNON7XXnkGo18SbIlBZmsTNktbCB2zbl8gY46SX7T7EPKEoYc7pxpncYCytP4siOlQHH1SuSFEpYlR9uRtfgOJTWY3J5fGNufuVJPLwshyJL4raC3klGgYr6djR0DET0TirBbEDn4Dhv2UL1lhKYdbqiQkkuptRaJO/QxpzuAEkuvSSshOdZU9XEplXDvU5MCb9oSFiZjXwJq4r6dnQOjssuei+1v6FjQHSpDEHEK+QkdYaJIJmnfm4EwN2W23a8rZ9303qqbJHmE0LSrCbeEo9tdefYiCtUf0PtvzYyiYK9J1l7TleWBSzmV3vijgn8JREFe0/i2shk2DZw28acbmyrO8c6yt1lBbyCC1pdJ6Ek11tt/YpsCLZfOOYIIp4hJ6kjNU09bASp5k2yoWOAJ2EFaFuWTihhpbbjcnn4Ze+SrSbVbeB+JltvaX+UH26Gy6PurFkDAiW51HpIEtvPHQeMJJfaDxjcMUcQ8Qw5SR2pbuxW5aYutl3d2M2eR406qlJkJFsCJKy0cFyXOLVHtZTk4h6/uWsIl/y1b9W+TkJJLqmJT2rAvf7VfkkuLR4wuGOOIOIVcpI6sbW2lX3K1wKv/xyA711UXnqi6mm8JLOBJ8l1VmMJK6EklxbpVqGElZac7R0OkLBSO92ax1Ec0XPMEUS8Qk5SJzr67aq9Q5Pa7ui3s+c7XVmGzBSrqmk8RnIJ8EkxiU0CUdPGabeHTelVbylBeXG2qtFQeXE261BqmnrYuqpaXacEsyFAwkrNdGtmipX3bpUZc2o9JIm1ccccQcQj5CR1gBFC1iKNx90ec7oDJKzyVJgdmupXtOAuZbg0OB6WDUptFEpYPbwsJ+IZvGYjApYyvPpej2Y2cLcvDY6z5ywtzMIxf/H0SDACAWtnyw83y55MFYmNXIFngohHyEnqQDQlrBhJroxki+JIItVqwn0LZksqWujBpIufMKzeUoKeQxuRl54YVjSU51dREa71E55HL5ji6ff5JbmURnxpfhUV4UL/aEpyEUQ8QU5SB64Mf6JpGo+7X6yo9e6yApx/bj1WL5gNi8koK1LITU/ExQMbJCWswrVBqY1SnK4sQ8W6RUi2mmVFQ8lWMypC6CFqZYNwO5gkV35GsqyIzmIyYnWQB5hpt0f1d9JSbWKSXAQRL1DFHR2wT0yzEyjEpuuLbcttE+4PhlCSq++Gg1evVImEVbg2hGujGEL1CrFJJHIVOyL5myv9TjBJLq7Dq6hvD7g++ZnJshQ7mLGg1rgK1haqRixBxDLkJHVATwkruUnDSKSR9JawkiPJBcSOhJXcv18k5d+8UF4eMFz0lmgjCD2JqXTr+++/jy9+8YvIzs6GwWDAiRMnot0lWWSmWHVLtyYFSVFKEY6ElV7pVgOguSRXaWGW5jZwt7WW5AJ8y3X0SrcqleQiiFgipiJJh8OBpUuXYseOHXj44Yej3R3ZzJR0K+BLsx5t6YN9YhpmI189wghfDdNUq5lXOF3ITEm3Aj4Hsu/tDgC+knYAWHsA37tVADj4UHFQZzsT0q0MvpmpLgyMTMLDsSfRbIDL44UtyYLtq/NDSnIxdkXaX0q3ErczMeUkH3zwQTz44IPR7oZiinNsaPEvvOfe8Jgbmdi23Dbh/mSr+CXdWtvK9oG5ubk8/BueG2Brls6vPInFc1Kwp7xIVMKqpXc4LBuU2ujyiLvJmqYe/KipGy6PtNwTOPZsrzsHs9FX01TMuViMYB8atL5OwSS5HE43q6Qi5ZhuOKZR3diN6sZurF4wW1KSy+F0qTaugrVJSXIRRDwQU05SKU6nE06nk/336OhoVPox15akWySZLMh8MQXVmZuukmRs5+A4ttWdw2KBJFdpYZZukaTwfUBz1xAqft6OGw5f9KLEnmkP8FJjN4629KH6L0p4zt/jASY9+kSSwoeO8sPN7PpJJfZ4AZzpHUbRvgZeYQQGNcdVsDahJBdBxBMx9U5SKS+88AJsNhv7k5eXF5V+6Km/J5SwOuF3kJG8k+q76QiQsLLoNHKEEla7Xj8Ph9MV0Xs1h9OFXa+fD3oerRD+3dZUNaHvpiOid4cAcKKtPyqSXIC+45sg9CauneSzzz4Lu93O/ly9ejVqfVk8J0X7CSFzUthUYkV9OyuCzH3yZz5DtQn3Xx2Z5DnKp8oWaT5xJ9VqYtc1NncNoWhfAyZc3rBt4LZNuLwo2tfAOpbTlWVItZo0n7gjlLC6OjIp255gNroB7Kw7x67B3F1WgCL/mNNy4s7iOSkgiHgmrp2k1WpFWloa7yda7CkviuimLuc7e8qL2POdaOuXLbAr9yZ5bWSSJ8klVphATRuFklyQ0Ucl+7nHhf98atvA3baYjAESVmo+JCWYDTjR1h8w5tR4SJJq4445gohHZDnJ2bNnK/rJyMjAH/7wB637HlOUFmYhU0N5pMxkC/uua8n+U3BDPefLbTvc2K2LhJUJCJDk0uJGL5SwiqyKanC4klyH/RJWaj4kMRHlkv2nAOg75ggiXpE1cWdkZAT/8A//AJvNFvJ3vV4vvvWtb8HtdkfcOSHj4+P4/e9/z/67r68P7e3tmD17NubNm6f6+dTm/HPrsaaqiRXBjWRGoXCZAzctOepU/2/P4IEv+rroL4f28LIcvNXWr+qsySmXF0d2rGTP2aKxJBf3+Ed2rMTOunNIUHl262aBJJeWy++ZouOlhVk4/9x6FO1rAADF4yrY/lxBQXWCiFcMXq/XG+qXjEYjrl+/jqwseU+Nqamp+O1vf4sFCxZE3EEuv/rVr7B27dqA9m3btuHo0aMhvz86OgqbzQa73a5O6tVqBaZEqqckJACcWbVCCvaeZJcuAPzp/sy23DaLEeg5tJE9dvnhZnT6Z0qqtWRB2Dbl8uJy1a1zMo5fTn9D7TcB2MRR6Khp6mHFfbVcxlCxbhHvfe6Jtv6ApRjhXiehQ1lYeZJ1wlpdpyLOjOTmriHsev08Jlxe2TYE228WjDmCiDWU+AJZTjJemClOErg1aQMI/+abaDag82A5e8zmriFsrzunivMNtV+4LIRZahLJcQHgqECSi5mso4UN3LYkib8lIjyuUJKLWe6hhvMNtV/sb8mkZsM9rlCSiyBiESW+IK4n7sxkGAkri1H5xA2L0Rf5cG/qQHQluaq3lODYjpVIs5oUT6YxAVi9YDb6qjYGvONiIiOtEZ6ntDALfVUbsdovYaV0gk2aX4NTuDwimhJWnQfLUeEfc0onPVmMwDMhVFQIIh4JK5Ls7+/HmTNnMDQ0BI+H/3bl29/+tmqdU5uZFEly2VrbirO9w7z0ntgTfZLZEKA+z2VNVRNujDs1TeNx24ROmoGphuPx+Kr4cG3gbluMQJLFhFe+tlx0AkhFfTsaOgY0tYHbJrYgH7hVDWdi2o1pD98Grl0mAMYgVX2AW9Gcmu+kpfbLGStSKVhm2wjgXomqPgQRqyjxBYor7tTV1WHXrl1ISEhARkYGDAYDu89gMMxoJzlTEUpYtV6+gbm2JHQO2DErOQGrFmbKUu2wT0zz0mli23Lb5HxHCq6EVXPXEGqbL/PsUSLJpbUN3LZgElYXD2xg/721tpW1pyjbhuv2CTxeulDWTE81+xtqf7CaqlznyYy5jx1TrD1yxxxBxDuKneT3v/99fP/738ezzz4Lo5GytWoj1EhUgt6SRXIkrIQaiUrQW5JL7vliRZJL7niIZMwRRLyj2Mt98skn+OpXv0oOUgeU3lQzU6xhLaoP9ztaS1gVZds0t4HbprWEVWlhlqr9DbVfqYSV3k6cIGIBxZHkY489hl/84heorKzUoj+3LRX17Wi8dB0AMOZ0894vpVp9S9zXLZ4bNE05U9KtgC+F13BxAH03HaLvyywmI4pzbEHTlDMl3QrcSht39Nt514f7mZ+RjPIl2SElrGZCuhUIHHPArfebZiMwNy0R9+RnUG1W4rZG8cQdt9uN//k//ycmJiZQXFwMi4Vf0ePll19WtYNqMhMn7qypasL10cmgE0KEbVLT8LfWtuLClY91mbiTkWzB+efWi/aho9+OUadb9tKCNKv45B1mfZ9eE3dee2SFaB+efPOCpD1ibWlWE4pzbKJp2RU/eBc3HdO6TNxZPm+WaB+Y5Udyl4BY/A6TZrYS8YKmE3cOHTqE//iP/0BhYSEABEzcIeTBdQCJ5lu6iXJuktdGJrFk/yk8/vmFvKhlri0Jk65hXSJJMbgOgEn5ybmpjznd2PX6+YCbemlhFqZ0iiSnXN4AB8l96JCyR6xt2u1BS+8wVvzgXdEHCb0iSaGEVU1TD2rfv4wxv8OX63zNRgOujUyiaF+D6IMEQcQziiPJWbNm4fDhw9i+fbtGXdKOmRJJciu6AJEtJhcuVi/YezIgKg3nuKH2P8OpUMOt6BLpcYVRsljRBbVs4LZJnTfS4yYJItSaph681Ngd8XFD7RdWYhLqioZ7XGFFJIKIRTQtJmC1WnHfffeF3bnbHeZmpdY81ONt/aw8EuBbo6f1hJA0q4nnILfVnQv5jlIu10YmUbD3JPvv05VlAYv51Z64YwJ/SUTB3pO45nfMkTLp8mJb3Tl2UszusgJewQWtrpNQkustjjpIJHgQOOYIIp5R7CSfeuopvPLKK1r0Je6paepBQ8dAxDd14XZDxwBPwgrgp/S423Lbgu0XSlip7bhcHl/5NoZkq0l1G7ifydZb2h/lh5vh8qg7a9aAQEmuSPobaj93HDCSXGo/YHDHHEHEM4qd5G9+8xscO3YMCxYswBe/+EVs3ryZ90NIU93YrcpNXWybKQIOAJuX5WhmQ0ayJUDCSgvHdWlwXBdJLu7xm7uGcGlwXDUbuNtCSa4MDSWsuNe/2i/JpcUDBnfMEUS8othJpqenY/PmzSgtLUVmZiZsNhvvhxBna20r+5SvBV7/OQBfHdW89ETV03hJZgM7EaW5awhnNZawYqIvRpJLi3TrwwIJKy052zvMOv7zz61HkkJ75NiYl57Ivi/Uc8wRRLwSVlk6Qjkd/Xb2RqbWkgXhdke/nT3f6coy3qQXNWZNvvbICvb4LzZ0hiX3pMTGabcHNU092F1WwN74j7f1qza7lVurtaapB9NuDwz+39HiOiWYDXixoZN1yq89soJ9nyunv6FsFNZqZcZcuP2V8x3umCOIeITK5ugAI4SsRRqPuz3mdPPe5Z2uLENeemLE/U/1K1pwp/5fGhwPywalNr763q33XtVbSvDwshyYIxy1ZmPgrOBX3+vRzAbu9iW/1ifgi5CP7VjJFosIFyMCZ+eWH27GmH/MaZVuZdLIVKmHiGcU325u3ryJJ554AosXL0ZmZiZmz57N+yECiaaEFSPJlZFsUZzGS7WacN+C2bh4YEPU1sYxEQxD9ZYS9BzaiLz0xLDSrXnpieg5tDFgCYPwPHrBFE+/zy/JpTTdmmY14ciOlQEL/aMpyUUQ8YTidOvXv/51XL58GY899hjmzJlDBQRkcGX4E03TeNz9YkWtmQLWTDWcCZdvhWawNF4wcd2K+nZe6liJDeHaKOR0ZRlqmnpwtKUPE67Q5fiSrWY8sTY/aMk4rW1gtivq2wOc9BuPr0Jz1xBebOjkRelcG7htFpMRy+eJV/UBfKlqNcdVsLYrw59I/k0JItZR7CQ/+OADfPDBB1i6dKkW/YlL7BPTqrxDk/OdYAglufpuOHj1SpVIWIVrQ7g2iiFUrxCbRCJXsSOSv7nS7wST5OJG7BX17QHXJz8zWZZiBzMW1BpXwdpC1YgliFhGsZO86667MDGhXyonHtBTwkpu0jASaSS9JazkSHIBsSNhJffvF0lVGy8AvXI8eku0EYSeKH4n+eMf/xjf+9730NzcjJs3b2J0dJT3QwSSmWJVbclCqO8kmZXfGsORsArXhnBs1FqSq7QwS3MbuNtaS3IBvuU6ao6rYG1KJbkIIpZQHEmmp6fDbrfjgQce4LV7vV4YDAa43W6Jb96+zJR0KwD2PZ59YhpmI//9khFAdnoiUq1mNHy3VPIYMyXdCvgcyL63OwCALSXHfV+W65/de/Ch4qDOdiakWxl8M1NdGBiZhIdjT6LZVwjflmTB9tXB369SupUg1EGxk9y6dSsSEhLw5ptv0sQdmRTn2NDiX3iv9cSdZKv4Jd1a28r2gbm5uTz8G54bPkfjBTC/8iQWz0nBnvKiAOfyeOlCtPQO6zJxh1FHEVLT1IMfNXXD5Qksws29gTP2bK87B7PRV9NUzLlYjGAfGrS+To+XLgw4PyPJ5XC64Zawh/m84ZhGdWM3qhu7sXrBbNE0c0ayBQ6nS5eJO9wyhQQRbyh2kr/73e/Q1tbGSmURoZlrS9ItkkwWZL4YhQ4GJTfJvpsO7Kw7h++u4zuW0sIs3SJJsfcBXIev9EZf3diN1ss3AhyLxwNMevSJJIUPHTVNPTjc2B0QNcq5Ti29w1hT1SQaKas5roK1CSW5CCKeUPxOcsWKFbh69aoWfYlb9JQV2r46n91mFDomXN6Amxt3W6yN2XbDV/9zTVUT7zwWncpQZAuKIRTsPYmW3mFFNgjbWnqHeUojYufRCuHfbU1VE6obu+EO0t9QNl4bmeQpjQD8caA1JJtFxDOKb3VPPvkknnrqKRw9ehQffvghLl68yPshxFk8J0X7CSFzUtiIr6K+HTvrzqnW/6sjkzxH+VTZIs0n7qRaTexazeauIRTta2C1MiNl2gMU7WtgHcvpyjKkWk2aT9wRSlhdVUmSCwB21p1jJax2lxWgyD/mtJy4s3hOimr9J4iZiGInuWXLFnR2dmLnzp1YuXIlSkpKsGzZMvaTEGdPeVHYkY/c7+wpL2LPd6KtHwkqz268NjLJk+SymIyKbVBio1CSCzL6qGQ/97jwn09tG7jbFpMxQMJKzYekBLMBJzi6kcyYi3RcBWvjjjmCiEcUO8m+vr6An97eXvaTEKe0MAuZGsojZSZb2HdSS/afghvqOV9u2+HGbl0krExAgCSXFjd6oYRVZFVUg8OV5Drsl7BS8yGJSY8v2X8KgL5jjiDiFcVO8s477wz6Q0hz/rn1yBXUHFUjkshNT+RJWI06tVuG40GghJXaaTwTgCM7VrLnbNFYkot7/CM7VoasoRrOdRJKcmm5/J5bdJyR5FI73codcwQRz8hyku+88w6mp+WvhWpoaKCqPBKcriyD2aheGs9sBK/G6osNnaq+QxNrc3CccPWWEuSmJ6oW3U25vNjEcShMelfL92rc85QWZmHTshxMqZhuzeVoPAKAw+nW5J00t+3Fhk72fIzEmVpRuHDMEUQ8I8tJPvTQQxgZGZF90K9+9av44x//GG6f4p6eQxvZRe6RkGQ2oOfQRvbfzV1D6Bwc1ySNx21zAwGSXJuX5URsjwG+SE4oYaX1ezWv/zwM1VtKcGTHStaBRsLmZTkBElZSqXA1bewcHGejydLCLHQeLA+rGpOQXL+KCkHcLshaJ+n1erF9+3ZYrfLKT01OqjdjL15hVCx+1NQtexE78ym1KD6aklzVW0rwpZJsPPnmBUy7PZI2cLeZTyOAeyUWxTPf0RrheUoLs9BXtRFba1txtneYt4YRCH2dLCYjXvna8oB3dnpLWHHP33mwnFeEIZgNQntcHq9kIQaCiGdkRZLbtm1DVlYWbDabrJ+tW7ciLS1N677HPLvLCtBzaCOWz5sFI0JHDcCtJ3mxm9WV4U80T+Mx22JFrRltxCfWFsBsBJuylLLH5fEi1a+HKOYgK+rbNbVB2MYsn+DyxuOrcMQvjMxUKJK6TlP+B5gn1hZIanBOuz2qv5OW2i8mYcWMOSaTESpCNQJYPm+W5JgjiHjH4PV69XlUnwGMjo7CZrPBbrer48StVmBKRNEhIQFwOsM6ZE1TD1ov38BcWxI6B+yYlZyAVQszZd2gluw/xarRA/zSZsy23DY53+mrCp12a+4aQm3zZZ49ciW5mMo6WtrAbZMq8SbWL8aeomwbrtsn8HjpQlkzPfMrT6rW31D7U60mXDywIWSfmDH3sWOKtUfumCOIWESJL1Bclo7QFqFGohL0liySI2El1EhUgt6SXHLPFyuSXHLHQyRjjiDiHZ2KixHhoPSmmpli1S3dmmg2aC5hVZRt0zXdqrWEVWlhlupLS4LtVyphpbcTJ4hYgCLJGUJFfTsaL10HAIz5lwgwEyhSrb4l7usWzw2aprRPTPPeX4pty22T851g1DT1oOHiAPpuOkQnh1hMRhTn2IKmKa/bJzS3gdsWTMKKSRt39Nt514f7mZ+RjPIl2SElrNTqb6j9oSSshGMOuDVZx2wE5qYl4p78DKrNStzWkJOMMmuqmnB9dJKtScq8V+Le8Jj3jG+19eN4Wz/y0hNF16kV59hw4crHsmaUhmoLtT9DopLL1tpWdPTbMep0896RCW/gEy43WnqHcaZ3GGlWk+hM0MdLF4rao5YNwrZgElZS9jCfEy4vOgfHcamxG7XvX0Zxjk1SwuqmY1qV/obaLyVhxdSMFXuXydgz7fGVIbza1o93ftuPuWniY44g4h1Kt0YJpmD3tZFJmI3K0m3XRiaxZP8pdgE8w1xbkubr77jOTsiKH7yLlt5hxTM4x5xu7Hr9PFsejqG0MEt0hqxaNghnpgqd9NbaVux6/TzG/A5Syczflt5hrPjBu6J/JzX6K2e/UMKqpqkHS/afCqgZG+o6mY0GXBuZ5BWEJ4jbhbBmtzY1NaGpqQlDQ0PwePiTA44cOaJa59Rmpsxurahvx4m2fjB1ayKZ3fjwshxeOqxg78mAqDSc44ba/wxHY5LRrJzwRzGRHFcYJXOVMrSc3Sp13kiPm2Q24LVHVvAqCL3U2K357FaLEbxF/xX17Tje1h/xcU0ANgnGHEHEGkp8geJI8sCBA1i/fj2amppw48YNfPzxx7wfIjjMzUqteajH2/p56/ueKluk+YSQNKuJ5yC31Z1TbdH/tZFJntbj6coymDSwgftpAr/MWsHek7imkoTVpMvL03rcXVaANKtJ84k7QkmutzjqIJHgQeCYI4h4RrGTfO2113D06FH8+te/xokTJ/D222/zfghpapp60NAxEPFNXbjd0DHAk7ACtE3jCSWs1HZcLg+/7F2y1aRpujXZekv7o/xwM1uNRs3rJJTk0jLdyh0HjCSX2g8Y3DFHEPGMYic5NTWF1atXa9GXuKe6sVu1d2jC7erGbvY8atRRlSIj2RIgYaWF47rEqT2qpSQX9/jNXUO45K99q/Z1EkpySU18UgPu9a/2S3Jp8YDBHXMEEa8odpLf+MY38Oabb2rRl7hma20r+5SvBV7/OQBfHdW89ETV03hJZgNPkuusxhJWQkkuLdKtQgkrLTnbOxwgYaV2ujWPozii55gjiHhFsZOcnJzEyy+/jNLSUjz55JN4+umneT+EOB39dtXeoUltd/Tb2fOdrixDZopV1TQeI7kE+KSYEsKwQYmN024Pm9Kr3lKC8uJsVaOh8uJs1qHUNPWws3K1uk4JZkOAhJWa6dbMFCvv3Soz5tR6SBJr4445gohHFDvJixcvoqSkBEajEb/73e/Q1tbG/rS3t2vQRT4//vGPkZ+fj8TERHzuc5/D6dOnNT9npDBCyFqk8bjbY053gIRVngqSXKlWE47tWMlbInFpcDwsG5TaKJSwenhZDswRLlwyGwNnBb/6Xo9mNnC3Lw2Os+csLczCMX/x9EgwInB2bvnhZnZ9rVbpViaNTMtCiHhGcTGB9957T4t+yKK+vh7f+c538OMf/xj33XcffvrTn+LBBx/EpUuXMG/evKj1KxTRlLBiJLmOtvRJLmIXawN8zlFqUbxeCGfNVm8pQfWWEqypamInpASzQbg/V6IQg/A8esEopzCSXAlB7BFrS5UoxBBNSS6CiCcieia/du0a+vvVmVouh5dffhmPPfYYvvGNb6CoqAj/8A//gLy8PPzkJz/RrQ/hcGX4E03TeNz9YkWtd5cV4Pxz67F6wWxYTEZZkUJueiIuHtggKWEVrg1KbZTidGUZKtYtQrLVLCsaSraaUbFuUdCqMVrZINwOJsmVn5EsK6KzmIxYvWB2UEkutd9JS7WJSXIRRLygOJL0eDw4ePAgqqurMT7uSx2lpqaioqIC3/ve92A0alPEZ2pqCh9++CEqKyt57evXr0dLS4vod5xOJ5ycRf2jo6Oa9C0U9olpdgKF2HR9sW25bcL9weA6vJqmHvTdcPDqlcqVsLpunwjbhnBtFEOoXiE2iURuFBzJ31zpd6RqxAoVUyrq2wOuT35msizFDmYsqDWugrWFqhFLELGMYif5ve99D//7f/9vVFVV4b777oPX68WZM2fw/PPPY3JyEn/3d3+nRT9x48YNuN1uzJkzh9c+Z84cXL9+XfQ7L7zwAg4cOKBJf5Sgp4SV3KRhJNJIektYyZHkAmJHwkru3y+SqjZe+KI8PdBboo0g9ERx2Hfs2DH80z/9E775zW9iyZIlWLp0Kb71rW/hf/2v/4WjR49q0EU+BgP/v77X6w1oY3j22Wdht9vZn6tXr2rePzEyU6y6pVuTgqQopQhHwkqvdKsB0FySq7QwS3MbuNtaS3IBvuU6eqVblUpyEUQsoTiSHB4exl133RXQftddd2F4WLt1c5mZmTCZTAFR49DQUEB0yWC1WmG1Rv8/8ExJtwJgJ/HYJ6ZhNvInhBgBZKcnItVqRsN3SyWPMVPSrYDPgex7uwMA2FJy3Akuuf7ZvQcfKg7qbGdCupXBNzPVhYGRSXg49iSaDXB5vLAlWbB9dX5ISS7Grkj7S+lW4nZGcSS5dOlS1NTUBLTX1NRg6dKlqnRKjISEBHzuc59DY2Mjr72xsXHGVwAqzrHpFkkGk7DKrzyJ6sZu3HBMY9oTeMNzw+doLg2OY37lSZQfbhaNYh4vXahbJGmRGKE1TT0o2HsS2+vO4erIJK6NTIpO3Lk2MomrI5PYXncOBXtPSpZSsxj1iySlJLmW7D+FhZUncWlwHNdGJuFG4MSdaQ9wwzGN6sZu5FeelFzMn5Fs0S2SlJLkIoh4QHEk+cMf/hAbN27Ef/7nf2LVqlUwGAxoaWnB1atX0dDQoEUfWZ5++mk88sgjWLFiBVatWoXa2lpcuXIFu3bt0vS8kTLXlqRbJJksCJwZhQ4GuUsLAKDvpgM7687huxzFD8CXntQrkhTzkVtrW9Hir/YTygbh/urGbrRevhHw/tLjASY9+kSSwoi2pqkHhxu7A6JGOdeppXcYa6qaRCNlNcdVsDahJBdBxBOKI8nS0lJ0d3fjoYcewsjICIaHh7F582Z0dXVhzZo1WvSRZcuWLfiHf/gH/O3f/i1KSkrw/vvvo6GhAXfeeaem540UPWWFtq/OZ7cZhY4Jlzfg5iaMUMSisEmXF2746n+uqWrinUcqwlObbEExhIK9J9HSO6zIBmFbS+8wT2lE7DxaIfy7ralqQnVjt2jUKNfGayOTPKURgD8OtIZks4h4Jiw9yVglmnqS5Yeb0Tk4rjjyCdXG3S6ak8K+S5TSrGQ+Q7WJ7edWdalp6mGr1CixQYmNqVYTLh7YAICvWRmJDdw2odbjkv2nMOZ0q2qDcPuJtbeWrQTTrAzHRqHWIzPmIulvqO9wxxxBxAqq60levHiRFVe+ePFi0B9CnD3lRWFHPnK/s6e8iD3fibZ+0dqqkbyTujYyyZPkEitMoKaNQkkuyOijkv3c48J/PrVt4G5bTMYACSs133UmmA04wdGNZMZcpOMqWBt3zBFEPCIrkjQajbh+/TqysrJgNBphMBgg9jWDwQC32y1yhJlBNCNJAFjxg3dx0zEdduQT7DsZyRZWoWPJ/lMYdbpVi1C4bSYAR/x1XJl0rhIb5PbFBOBy1UYAvneQZ3qHVbNB2HbfgtnsO8qFlSfhVum4wu8c4/zddtadC4jywz2ucH8aJwJf8YN3ccMxrcnfjjvmCCKWUD2S7Ovrw6c+9Sl2u7e3F319fQE/vb29kfc+jjn/3HrkpieqMqOQu52bnsiTsBp1aveg4kGghJWa0V2i2cA6YoYWjSW5uMc/smMlTCrYIGwTSnJpufyeW3SckeRSe3Yrd8wRRDwjy0neeeed7IL9P/zhD8jJycGdd97J+8nJycEf/vAHTTsbD5yuLIPZqF4az2wErx7piw2dqjlfqf0OjhOu3lKC3PRE1dJ4Uy4vNnEcCpPeVdsG7if3PKWFWdi0LAdTKqZbczkajwDgcLpVfUgS2y+U5IJCG4LtF445gohnFM9RXLt2rWjRALvdjrVr16rSqXin59BGdpF7JCSZDeg5tJH9d3PXEDoHx1V7hya13w0ESHJtXpYTsT0G+CI5oYSVFjYI24SSXEd2rGQdaCRsXpYTIGHlVqG/ofZ3Do6z0WRpYRY6D5aHVY1JSG56Im/MEUS8o9hJSpWBu3nzJpKTk1Xp1O3A6coyPLNukaJF7MynxQhUrFuEzoPlvGNGU5KreksJju1YiTSrSXHkYwKwesFs9FVtFF3rpwfC85QWZqGvaiNWL5gNkwwbhG1pfg1O4fIIvSWsuHQeLEeFf8wpjVAtRuCZECoqBBGPyC4msHnzZgC+yTnbt2/nlXtzu924ePHijK98M9NgVCwYLUFuhMF8QrAtpYcI+CSL1F6yILVfrKg1o41Y09SDHzV1sylLoQ3MtssjrYcI+JaxaGmDsK2ivj3Aqb3x+Co0dw3hyTcvYGLaHWAD164pfyqSu8xDyLTbwzoera+TmIQVM+bWVDXhxrgz6FibdPmKOSyfNyuqmqIEEU1kO0mbzQbAF0mmpqYiKelWlY2EhATce++9+Ku/+iv1e3gbIJSwar18A3NtSegcsGNWcgJWLcyUpdphn5gOesOTuiGG+x0puBJWzV1DqG2+zLNHiSSX1jZw24JJWDGzRQHfbFvGnqJsG67bJ/B46UJZhdjV7G+o/cFqqnIftJgx97FjirVH7pgjiHhHtpOsq6sDAMyfPx/PPPMMpVY1QqiRqAS9JYvkSFgJNRKVoLckl9zzxYokl9zxEMmYI4h4R/E7yf3795OD1AmlN9XMFKvmsya5bVpLWBVl2zS3gdumtYRVaWGW6ktLgu1XKmGltxMniFhAViS5fPlyNDU1YdasWVi2bJmkfiMAXLhwQXIfIU1FfTsaL/lkwMb8SwSYlGaq1QQAWLd4btA05UxJtwK+FF7DxQH03XSIvi+zmIwozrEFTVPOlHQrcCtt3NFv510f7md+RjLKl2SHlLCaCelWIHDMAbfeb5qNwNy0RNyTn0G1WYnbGllO8stf/jI7UWfTpk1a9ue2Y01VE66PTmLanxkzAAE3vDGnb8LIW239ON7Wz6uhyqU4x4YLVz7WZeJOMEmujn57QMUf4Q18wuVGS+8wzvQOI01i8s7jpQtF7dFq4o6UhNWTb16QtIf5nHB50Tk4jkuN3ah9/zKKc2yiadmMZAtuOqZ1mbgjJWElrBkrZte0xy8z1taPd37bj7lp0hPGCCKeoQLnkaCwLB0XpmC3khuiMLp8/PMLeVFLRX073mrrZ2943Juf2A0xWFuo/ZkiJcmYsnvh3tTFZlEyZeK0sIHbxi2Dx7C1tjWihw6xsm3CMnHh9lfO/s2cYueAL7qvff9y2EXcE838gvAEEauoXpaOy9WrV3Ht2jX237/5zW/wne98B7W1tcp7eptSUd+OnX4JK240wt0O1TbmdOOlxm5U1Lezx63eUgKzThJWQkmuon0NuOGvSxvMhmD7z/i1EbnoJWElPM+aqiac6R1WbAP384ZjGkX7GqIiYWU28iWsKurb8VJjN5uVCOc6Tbi82Fl3jjfmCCLeUXxL/drXvob33nsPAHD9+nV84QtfwG9+8xvs3bsXf/u3f6t6B+ONivp2HG/rV6125/G2ft5N66myRZpPCEmzmnhLPLbVnQv5jlIu10YmeVqPpyvLAhbzqz1xxwT+koiCvSdxbWRSFXsmXV6e1uPusgJewQWtrtNTZYvYPqypasJbHHWQSPAgcMwRRDyj2En+7ne/wz333AMA+PnPf47i4mK0tLTgzTffxNGjR9XuX1xR09SDho4B1Wc3NnQM8CSsAG3L0gklrNR2XC4Pv+xdstWkug3cz2T/xCjAd16XR91ZswYESnJF0t9Q+7njgJHkUvsBgzvmCCKeUewkp6en2Uk8//mf/4kvfelLAIC77roLf/zjH9XtXZxR3dityk1dbLu6sZs9jxp1VKXISLaw7w231rZi1J++U9txXeLUHn3la8s1s4d7/OauIVzy175V+zqNOt3YWtsKwLfOUmrikxpwr391Y7dmDxjcMUcQ8YpiJ/nZz34Wr732Gk6fPo3GxkZs2OCrRDIwMICMjAzVOxgvbK1tZZ/ytcDrPwfgexeVl56oehovyWzgSXKd1VjCSijJpUW6VShhpSVne4cDJKzUTrfmcRRH9BxzBBGvKHaSL774In7605/i/vvvx1/+5V9i6dKlAIB33nmHTcMSgXT021V7hya13dFvZ893urIMmSlWVdN4jOQS4JNiSgjDBiU2Trs9bEqveksJyouzVY2GyouzWYdS09TD1lXV6jolmA0BElZqplszU6y8d6vMmFPrIUmsjTvmCCIeCWsJiNvtxujoKGbNmsW2ffTRR7jjjjuQlTVzp4dHawkIM7kFUG/JgtT+ojkpaPhuKXvuYGvi5B5XbB3j/MqTYdmg1MZEs4GndlJR3453ftsfsK5UybksRuBLS/nLI4r2NfDe6Wl5nT6q4subMeswwz2uCb7ZuUJJLkY2LdL+hmo7tmMlLQshYgpNl4AAgMlkgsvlwgcffIAzZ87gT3/6E+bPnz+jHWQ0iaaEFSPJlZFsURxJpFpNuG/BbFw8sCFqN0HhrNnqLSXoObQReemJYUVDeX49RGEVGbVm5yqFKZ5+n1+SS2nEl2Y14ciOlQEL/aMpyUUQ8YRiJ+lwOLBz5058+tOfxuc//3msWbMG2dnZeOyxx/DJJ4HSPIRPwkrLNB53v1hR691lBTj/3HqsXjAbFpNRVhovNz0RFw9sEK0aU1HfHrYNSm2U4nRlGSrWLUKy1SwrFZlsNaMihB6iVjYIt8WWT7zx+Coc2bES+RnJstKtFpMRq4M8wEy7Paq/k5ZqE5PkIoh4QbYKCMPTTz+N5uZm/L//9/9w3333AQA++OADfPvb30ZFRQV+8pOfqN7JWMc+Mc2mpsSm64tty20T7g+GUJKr74aDV69UiYRVuDaEa6MYQvUKsUkkchU7IvmbK/1OMEkursOrqG8PuD75mcmyFDuYsaDWuArWFqpGLEHEMoqd5PHjx/Ev//IvuP/++9m28vJyJCUl4S/+4i/ISYqQYDbCEGYpMKXfcXnkpQ0jlUZiogmlNoRjoxxJLiAyCSspe7S4TnKJpLC42QiYjfoIVifoVeaJIKKA4tH9ySefYM6cOQHtWVlZlG6VYMrlUTxTMdwZnK4wSvmEI5EUrg3h2Ki1JFdpYZbmNgijLy3tAQCXR91xFaxtKpxBRxAxguJIctWqVdi/fz/+z//5P0hM9NW7nJiYwIEDB7BqVXhP8oR+1DT14GhLH+wT02ykwUQFRvhmSaZazbwZsjOZ5q4h7Hu7AwDYUnLcKCfXX5P14EPFMTMDs/xwM8acLgyMTMKDwEyBLcmC7avzSSiZIHRAsZP80Y9+hA0bNiA3NxdLly6FwWBAe3s7EhMT8R//8R9a9DHmKc6xocW/8F7rdGuyVfySbq1tZfvARDMuDz8qcMPnaLzwLfFYPCcFe8qLRCWsWnqHdUm3SqWPa5p68KOmbrg8gUsSuBEbY8/2unMwG301TcWci0VBejLS6xRMksvhdMMtYQ/zecMxjerGblQ3dmP1gtmSklwOp0uXdKuUJBdBxAOK06133303enp68MILL6CkpARLlixBVVUVenp68NnPflaLPsY8c21JuqVbhTAKHReufAxA2ezGvpsO7Kw7F1CjM1h6Um0bPSKZvK21rahu7FZcY9Xl8ZVpE5vg41GQnoz0OgkfOmqaerCz7hzGnG62QIPcmb8tfuUUsZSsXunWubakwItEEHEC6UlGggI9yfmVPmULtRZwS+2vWLcoQKFDjePmCharF+w9yUZxSmxQ2he551V6LrMR6Dl0a1H/mqomNupU2wa1zhuqL9xF/TVNPWzd1kiPG6rtI4EOJ0HMdDQvJtDV1YXdu3ejrKwMX/jCF7B7927893//d1idvV1YPCdF8/V3RXNSWAfJaFaqxdWRSZ7W41Nli8KyQYmNqVYT6yCZiHhapTki0x7wtB5PV5Yh1WpS3QbhtlDC6qpKklwAeFqPu8sKUOQfc5GOq2Bti+ekqNZ/gpiJKHaS//Iv/4K7774bH374IZYuXYolS5bgwoULKC4uxi9+8Qst+hgX7Ckv0jyNt6e8iD3fibZ+0dqqkdwkr41M8iS5xAoTqGmjUJILMvqoZD/3uPCfT8t0q8VkDJCwUvMhKcFswAmObiQz5rRMt3LHHEHEI4qd5N/8zd/g2WefRWtrK15++WW8/PLLaGlpwd69e7Fnzx4t+hgXlBZmIVNDeaTMZAubaluy/xTc0Oad1OHGbl0krExAgCSXFjd6oYSVCdrBleQ67E+FqvmQNOnywg3f9Qf0HXMEEa8odpLXr1/Ho48+GtD+9a9/HdevX1elU/HK+efWI1dQc1SNSCI3PZEnYcUUy9YCDwIlrNRO45kAHNmxkj1ni8aSXNzjH9mxMmQN1XCuk1CSS8uVhaNOd4Akl9rpVu6YI4h4RrGTvP/++3H69OmA9g8++ABr1qxRpVPxzOnKMpiN6qXxzEbwJra82NCp6js0sTYHxwlXbylBbnqiatHdlMuLTRyHwqR3tXyvxj1PaWEWNi3LwZSK6dZcjsYjADicbk3eSXPbhJJcUGhDsP3CMUcQ8Yzi2a2vvfYavv/97+Mv/uIvcO+99wIAzp49i1/84hc4cOAAsrOz2d/90pe+pG5vIySas1uFcCdtGBDerMlEM19GqrlrCNvrzgV8T+lx5exfLJDkqqhvx3H/+7BwjwsARwWyS0X7GjDhX9qitg3ctiSJvyUiPO7Dy/iSXOWHm3FpcDzi/srZL/a3ZBxeuMfNE8w2JohYRIkvUOwkjUZ5wafBYIDbrV3aLxxmkpMEbi2IV1pjU2pRPFMwQA8nmWY14eKBDbzzMwvip90eSRvE7DECuFdiUXx+5UnNbBC29YksZdha24qzvcO8yjdiNgjbLCZjgAYn4HtfOOp06+IkxQoNcIswBLNBaI/L45UsxEAQsYamS0A8Ho+sn5nmIGciu8sK0HNoI5bPmwUjQqfAAN+7oJ5DG0VvVleGP9E8jcdsi0lyMdqIT6wtgNkINmUpZY/L40WqXw9RSpJLSxuEbcEkrFKtJrZCkdR1mvI/wDyxtiCohJVa/Q21X0zCihlzTLm+UOlWI4Dl82ZJjjmCiHcUl6Uj1EcoYdV6+Qbm2pLQOWDHrOQErFqYKesGZZ+Y5jlUsW25bXK+IwVXwqq5awi1zZd59iiR5NLaBm5bMAkrbtS8tbaVtaco24br9gk8XrpQ1kxPNfsban8wCStuypQZcx87plh75I45goh3yEnOMIQaiUpIMBuR6E91AsrSg+F8R46ElVAjUSla28Btk0skklxq9jfUfrkSVpGMOYKId0gIbgajVCJpyuVRbdasnO9oLWEFHWzgtiklHEkuNfsbar9SCatwrg9BxDsUSc4QKurb0XjJt850zL9EgLlxp1p9S9zXLZ4bkRCvntQ09aDh4gD6bjpEoxyLyYjiHJvsNGW0YdLGHf123vXhfuZnJKN8SXbMRGXCMQfcikrNRmBuWiLuyc+ImTFHEFpATjLKrKlqwvXRSbYmKTNDkft+aczphhfAW239ON7WLzkNvzjHhgtXPtYl3ZohUclla20rOvrtATM4he/LJlxutPQO40zvMNKsJtGZoI+XLhS1R6t0azAJKyl7mM8Jlxedg+O41NiN2vcvozjHJilhddMxrUu6VUrCill+JDYrlrFn2uMrQ3i1rR/v/LYfc9No6Qdxe6I43frAAw/gwIEDAe0ff/wxHnjgAVU6dTvAFOy+NjIJs1HZ7MZrI5NYsv9UgITVXFuSbulWMVb84F209A4rnsE55nRj1+vnAySsSguzRGfIapFunRJJH2+tbcWu189jzO8glcz8bekdxoofvCv6d9Ir3SqUsKpp6sGS/acCasaGuk5mowHXRiZ5BeEJ4nZBsZP81a9+hZqaGmzatAkOh4Ntn5qaQnNzs6qdi1cYhY4JhTdEbtuY042XGrt5yxaqt5RA5lyNiNm+Op/dZhz+Dcd0RDf1M35tRC7Z/qUKWiM8z5qqJpzpHY7Imd1wTAc4Fu7fTUvMRvDSpBX17XipsZvNSoRznSZcXp7SCEHcDoR1S/3P//xPXL9+Hffeey8++ugjlbskzt/93d9h9erVuOOOO5Cenq7LObWAqUyjVu3O4239vJvWU2WLNF9/l2Y1BWhWhjPxRYxrI5Mo2HuS/ffpyjKYNLCB+2kCAjQrr6kkYTXp8mJb3TnWUe4uK0Ca1aT5OkmhJNdbHHWQSPAgcMwRRDwTlpP89Kc/jebmZixZsgQrV67Er371K5W7FcjU1BS+8pWv4Jvf/Kbm59KKmqYeNHQMqL6YvKFjgCdhBWibxhNKWKntuFweX/k2hmSrSdN0a7L1lvZH+eFmthqNmtdJKMmlZbqVOw4YSS61HzC4Y44g4hnFTtJgMAAArFYr3njjDTz11FPYsGEDfvzjH6veOS4HDhzAd7/7XRQXF2t6Hi2pbuxW7R2acLu6sZs9z+ZlOZrZkJFsCZCw0sJxXRoc10WSi3v85q4hXBocV80G7rZQkktq4pMacK9/tV+SS4sHDO6YI4h4RbGTFJZ63bdvH9544w1UV1er1im1cDqdGB0d5f1Ei621rfCG/rWw8frPAfjeReWlJ6qexksyG3iSXGc1lrASSnJpkW4VSlhpydne4QAJK7XTrXkcxRE9xxxBxCuKnWRfXx8+9alP8doefvhh/PrXv8aRI0dU65gavPDCC7DZbOxPXl5e1PrS0W9X7R2a1HZHv5093+nKMmSmWFVN4zGSS4BPiikhDBuU2Djt9rApveotJSgvzlY1GiovzmYdSk1TDzsrV6vrlGA2BEhYqZluzUyx8t6tMmNOrYcksTbumCOIeESxk7zzzjvZlCuXz372s9i2bZuiYz3//PMwGAxBf86fP6+0iyzPPvss7HY7+3P16tWwjxUJjBCyFmk87vaY0817l3e6sgx5KswOTbWacEwgu3RpcDwsG5Ta+Op7t957VW8pwcPLciKewWs2BkpYvfpej2Y2cLcvDY6z5ywtzMIxf/H0SDAiUMKq/HCz7JmskdjIFXgmiHgkqsUEdu/eja9+9atBf2f+/PlhH99qtcJqtYb9fbWobb6s27mujfCLdJ+uLENNUw+OtvRJLmIXawN8zlFqUbxeCGfNVm8pQfWWEqypamInpASzQbg/V6IQg/A8esEUT2ckuRKC2CPWlipRiEE4DrSktvlyTFRNIohwiKqTzMzMRGZmZjS7oAtXhj8BE3srvakr/Y6YhBVTwJqphjPh8pUgE5sVyWwHE9etqG9nU25KbQjXRiFc5z/hCq1+kmw144m1+UFLxmltA7NdUd8eUOrtjcdXoblrCC82dPKidK4N3DaLyYjl86QfYKbdHlXHVbA2MUkugogXYqYs3ZUrVzA8PIwrV67A7Xajvb0dAPCZz3wGKSkp0e1cCOwT00FveKFuiEq+EwyhJFffDQdPHkqJhFW4NoRroxhC9QqxSSRyo+BI/uZKvxNMkosbkVXUtwdcn/zMZFm1YZmxoNa4CtYWTJKLIGKdmHGS3//+93Hs2DH238uWLQMAvPfee7j//vuj1Ct5JJiNMAgKSGsVSbo88tKGkRbh1jOSlCPJBUQmYSVljxbXSS6RFBY3G33l5PSIJOVKchFELBIzo/vo0aPwer0BPzPdQQI+CSs1J0sE269QHQlAeBJJ4doQjo1aS3KVFmZpboMw+tLSHgBwedQdV8HalEpyEUQsETORJKEOzHs8+8Q0G2kwUYERvhqmqVYzGr5bGu2uyqK5awj73u4AALaUHDfKyfXP7j34UHHMTC7xzUx1YWBkEh4EZgpsSRZsXx38/SpBEOpATlIHinNsaPEvvNc63ZpsFb+kW2tb2T4w0YzLw48K3PA5Gi+A+ZUnsXhOCvaUF4lKWLX0DuuSbpVKH9c09eBHTd1weXz2GBD4/g0ce7bXnYPZ6KtpKuZcLArSk5Fep2CSXA6nG24Je5jPG45pVDd2o7qxG6sXzJaU5HI4XbqkW6UkuQgiHoiZdGssM9eWpFu6VQij0HHhyscAlC0m77vpwM66cwE1OoOlJ9W20SOSydta24rqxm7FNVZdHl+ZNrEJPh4F6clIr5PwoaOmqQc7685hzOlmCzTIuU4A0OJXThFLyeqVbhVKchFEPEFOUgf0VHYXSlht80tyhXuTdMPnWIQSVhadRo5Qwqpg70m09A5HdKNv6R3mKY2InUcrhH+3NVVNqG7shjtIf0PZeG1kkqc0AugnyQXoO74JQm/ISerE4jkpmpelK5qTwqYSGc1Ktbg6MslzlE+VLQrLBiU2plpN7FpNJiKeVmmOyLQHPK3H05VlSLWaNC1Ll2g2BEhYXVVJkgsAT+txd1kBivxjTsuydIvnzOzlVwQRKeQkdWJPeZHmabw95UXs+U609YvWVo3kJnltZJInyWUxGTVNtwoluSCjj0r2c48L//m0TLdaTMYACSs1H5ISzAac4OhGMmNOy3Qrd8wRRDxCTlInSguzkKmhPFJmsoV917Vk/ym4oc07qcON3bpIWJmAAEkuLW70QgmryKqoBocryXXYL2Gl5kMSkx5fsv8UAH3HHEHEK+QkdeT8c+uRm56oehovNz2RJ2E16i9coAUeBEpYqZ3GMwE4smMle84WjSW5uMc/smMlTCrYIGwTSnJpubKQW3SckeRSO93KHXMEEc+Qk9SZ05VlMBvVS+OZjeDVWH2xoVPVd2hibQ6OE67eUoLc9ETVorsplxebOA6FSe9q+V6Ne57SwixsWpaDKRXTrbkcjUcAcDjdmryT5rYJJbmg0IZg+4VjjiDiGXKSUaDn0EZ2kXskJJkN6Dm0kf13c9cQOgfHNUnjcdvcQIAk1+ZlORHbY4AvkhNKWGn9Xs3rPw9D9ZYSHNmxknWgkbB5WU6AhJVUKlxNGzsHx9losrQwC50Hy5Fkjtyi3PRE3pgjiHiHnGSUOF1ZhmfWLYLFqDySsBiBinWL0HmwnHfMaEpyVW8pwbEdK5FmNSmOfEwAVi+Yjb6qjQHvuCZdXj3MCThPaWEW+qo2YvWC2TDJsEHYlubX4BQuj9BbwopL58FyVPjHnNII1WIEnlm3iCJI4raDnGQU2V1WgJ5DG7F83iwYETpqAG49yYtVjbky/InmaTxmW0ySi9FGfGJtAcxGsClLKXtcHp8e4pEdK0WrxlTUt2tqg7CNWT7B5Y3HV+GIXxiZqVAkdZ2m/KnIJ9YW4OKBDaKTWqbdHtX6G2q/mIQVM+aYTEaoCNUIYPm8WZJjjiDiHSpLNwMQSli1Xr6BubYkdA7YMSs5AasWZsq6QdknQusqym2T8x0puBJWzV1DqG2+zLNHiSSX1jZw24JJWF08sIH999baVtaeomwbrtsn8HjpQlkzPdXsb6j9wSSsuBEhM+Y+dkyx9sgdcwQR75CTnGEINRKVkGA2ItHtYR1YollbqSQ5ElZCjUSlaG0Dt00ukUhyqdnfUPvlSlhFMuYIIt6hdOsMRqlE0pTLo/mEEG6b1hJW0MEGbptSwpHkUrO/ofYrlbAK5/oQRLxDkeQMoaK+HY2XrgMAxvxLBJgbd6rVt8R93eK5MVMns6apBw0XB9B30yEa5VhMRhTn2GSnKaMNkzbu6Lfzrg/3Mz8jGeVLsmMmKhOOOeBWVGo2AnPTEnFPfkbMjDmC0AJyklFmTVUTro9OsjVJDQicrDPmdMML4K22fhxv60deeqLoLMPiHBsuXPlYl3RrhkQll621rejot2PU6WZtgcCeSZcXEy43WnqHcaZ3GGlWE1752nJRSS4xe7RKtwaTsJKyh/mccHnROTiOS43dqH3/MopzbJISVjcd07qkW6UkrJiasYw9YnZNe3xlCK+29eOd3/Zjbpr4mCOIeIfSrVGCKdh9bWQSZqOy2Y3XRiaxZP+pAAmrubYk3dKtYqz4wbto6R1WPINzzOnGrtfPB0hYlRZmic6Q1SLdOiWSPt5a24pdr5/HmN9BKpn529I7jBU/eFf076RXulUoYVXT1IMl+08F1IwNdZ3MRgOujUzyCsITxO0COckowCh0TCi8IXLbxpxuvNTYzVu2UL2lBDLnakSMUJKraF8DbjimI7qpn/FrI3LRS8JKeJ41VU040zsckTO74ZgOcCx6SViZjXwJq4r6drzU2M1mJcK5ThMuL09phCBuB8hJ6kxFfTuOt/WrVrvzeFs/76b1VNkizdffpVlNvCUe2+rOhTXxRYxrI5M8rcfTlWUBi/nVXidpAn9JRMHek7imkoTVpMvL03rcXVbAK7ig1XUSSnK9xVEHiQQPAsccQcQz5CR1pKapBw0dA6ovJm/oGOBJWAHapvGEElZqOy6Xh1/2Ltlq0jTdmmy9pf1RfrgZLo+6RQoMCJTk0jLdyh0HjCSX2g8Y3DFHEPEMOUkdqW7sVu0dmnC7urGbPY8adVSlyEi2BEhYaeG4LnFqj2opycU9fnPXEC75a9+qfZ2EklxSE5/UgHv9q/2SXFo8YHDHHEHEK+QkdWJrbSv7lK8FXv85AN+7qLz0RNXTeElmA0+S66zGElZCSS4t0q1CCSstOds7HCBhpXa6NY+jOKLnmCOIeIWcpE509NtVe4cmtd3Rb2fPd7qyDJkpVlXTeIzkEuCTYkoIwwYlNk67PWxKr3pLCcqLs1WNhsqLs1mHUtPUw87K1eo6JZgNARJWaqZbM1OsvHerzJhT6yFJrI075ggiHiEnqQOMELIWaTzu9pjTHSBhlafC7NBUv6IFd4nEpcHxsGxQaqNQwurhZTkRz+A1G30iyEJJLq1s4G5fGhxnz1lamIVj/uLpkWAEAtbOlh9ulj2TNRIbuQLPBBGPkJPUgWhKWDGSXBnJFsWRRKrVhPsWzJZUtNAD4azZ6i0l6Dm0EXnpiWFFQ3l+FRVhFRm1ZucqhSmefp9fkktpxJfmV1ERLvSPpiQXQcQT5CR14MrwJ5qm8bj7xSSsdpcV4Pxz67F6wWxYTEZZkUJueiIuHtggKWEVrg1KbZTidGUZKtYtQrLVLCsaSraaURFCD1ErG4TbwSS58jOSZUV0FpMRq4M8wEy7Paq/k5ZqE5PkIoh4gcrS6YB9YpqdQCE2XV9sW26bcH8whJJcfTccPHkoJRJW4doQro1iCNUrxCaRyFXsiORvrvQ7wSS5uA6vor494PrkZybLqg3LjAW1xlWwtmCSXAQR65CT1IEEsxEGQQFp5pPbFmq/nO+4PPLShpEW4WaiCaU2hGOjHEkuIDIJKyl7tLhOcomksLjZ6Csnp9a4CtYmV5KLIGIRGt06MOXyaD4hhPlUqI4EIDyJpHBtCMdGrSW5SguzNLdBGH1paQ8AuDzqjqtgbUoluQgilqBI8jajpqkHR1v6YJ+YZiMNJiowwlfDNNVqRsN3S6PdVVk0dw1h39sdAMCWkuNGObn+2b0HHyqOCUkugJmZ6sLAyCQ8CMwU2JIs2L46P2YkuQgiliEnqQPFOTa0+Bfea51uTbaKX9Ktta1sH5hoxuXhRwVu+ByNF8D8ypNYPCcFe8qLRCWsWnqHdUm3SqWPa5p68KOmbrg8PnsMCHz/Bo492+vOwWz01TQVcy4WBenJSK9TMEkuh9MNt4Q9zOcNxzSqG7tR3diN1QtmS0pyOZwuXdKtUpJcBBEPULpVB+baknRLtwphFDouXPkYgLLZjX03HdhZdy6gRmew9KTaNnpEMnlba1tR3dituMaqy+Mr0yY2wcejID0Z6XUSPnTUNPVgZ905jDndbIEGuTN/W/zKKWIpWb3SrUJJLoKIJ8hJ6oCeyu5CCattfkmucG+Sbvgci1DCyqLTyBFKWBXsPYmW3uGIbvQtvcM8pRGx82iF8O+2pqoJ1Y3dcAfpbygbr41M8pRGAP0kuQB9xzdB6A05SZ1YPCdF8/V3RXNS2FQio1mpFldHJnmO8qmyRWHZoMTGVKuJXdfIRMTTKs0RmfaAp/V4urIMqVaT5uskhRJWV1WS5ALA03rcXVaAIv+Y03Kd5OI5Kar1nyBmIuQkdWJPeZHmabw95UXs+U609YvWVo3kJnltZJInySVWmEBNG4WSXJDRRyX7uceF/3xaplstJmOAhJWaD0kJZgNOcHQjmTGnZbqVO+YIIh4hJ6kTpYVZyNRQHikz2cK+61qy/xTc0Oad1OHGbl0krExAgCSXFjd6oYRVZFVUg8OV5Drsl7BS8yGJSY8v2X8KgL5jjiDiFXKSOnL+ufXIFdQcVSOSyE1P5ElYjfoLF2iBB4ESVmqn8UwAjuxYyZ6zRWNJLu7xj+xYGbKGajjXSSjJpeXKQm7RcUaSS+10K3fMEUQ8Q05SZ05XlsFsVC+NZzaCV4/0xYZOVd+hibU5OE64eksJctMTVYvuplxebOI4FCa9q+V7Ne55SguzsGlZDqZUTLfmcjQeAcDhdGvyTprbJpTkgkIbgu0XjjmCiGfISUaBnkMb2YgykptkktmAnkMb2eM2dw2hc3BckzQet80NBEhybfZHlJE4LiaCFEpYaf1ezes/D0P1lpKAiDLc67R5WU6AhJVUKlxNGzsHx9losrQwC50Hy3kRZbjXKdevokIQtwvkJKPE6coyFM1JCfsmmZ+RjM6D5bxjRlOSq3pLCTYvywEQ3k092WrGEYFmJXMsPRCep7QwC0d2rGRVRpReJ8DnIIXLI6IpYdV5sJxVGQnH+RbNSaEIkrjtoIo7UYQp/ba1thVne4cR6k1iotkQoD7P5crwJ0g0a1PJR9gmJslVvaUE1VtK2Go4Hg+C2mQ2AkkWE1752nLRCSAV9e2a2iBsq6hv5zm10sIsnH9uPVsNZ2LaHXQJihGAMUhVH8AnYcVEZ1pfJzEJK2bMralqwo1xJyZCPISYANwrUdWHIG4HyEnOAIQSVq2Xb2CuLQmdA3bMSk7AqoWZsup02iem2ad+AKLbctvkfEcKroRVc9cQapsv8+xRIsmltQ3ctmASVhcPbGD/vbW2lbWnKNuG6/YJPF66UNZMTzX7G2p/MAkr7oMWM+Y+dkyx9sgdcwQR75CTnGEINRKVkGA2ItHt0SWSTDQbZElYCTUSlaJnJCmXSCS51OxvqP1yJawiGXMEEe/ExDvJjz76CI899hjy8/ORlJSEhQsXYv/+/Ziamop212YUUy6P5hNCuG16rJHT2gZum9aUFmap2t9Q+0nCiiAiJyYiyf/+7/+Gx+PBT3/6U3zmM5/B7373O/zVX/0VHA4HXnrppWh3TxUq6tvReOk6AGDMv0RgwuWFAb7ybACwbvHcmKmTWdPUg4aLA+i76WCjHMaeRLMBFpMRxTk22WnKaMOkjTv67bzrk8SJ4vIzklG+JDtmojLhmPMCrD1mIzA3LRH35GfEzJgjCC0weL1e7R+hNeDv//7v8ZOf/AS9vb2yvzM6OgqbzQa73Y60tLTIO2G1AmLRbEIC4HTKOsSaqiZcH51kJ4QY4IsEmE+xtrz0RNHJO1trW3Hhyse6pFszki2ii8m31raio9+OUadb1AYxe9Ks4pN3mruGsOv187qlW197ZIVoH55884KkPWJtaVYTinNsomnZFT94Fzcd07qkW5fPmyXaB6ZmbDAbuNsWv8Okma1EvKDEF8REulUMu92O2bNnB/0dp9OJ0dFR3s9MgSnYfW1kEmajsvV310YmsWT/qQAJq7m2JN3SrWKs+MG7aOkd5s3glLP+bszpxq7XzwdIWJUWZrGL+rVOt06JpI+31rZi1+vnMeZ3kHLXGE67PWjpHcaKH7wr+nfSK90qlLCqaerBkv2nAmrGhrpOZqMB10YmeQXhCeJ2ISad5OXLl/HKK69g165dQX/vhRdegM1mY3/y8vJ06mFwGIWOCYU3RG7bmNONlxq7WdUHwLcEQ+ZcjYgRSnIV7WvADcd0RDf1M35tRC56SVgJz7OmqglneocjcmY3HNMBjkUvCSuzkS9hVVHfjpcau9m0ajjXacLl5SmNEMTtQFSd5PPPPw+DwRD05/z587zvDAwMYMOGDfjKV76Cb3zjG0GP/+yzz8Jut7M/V69e1dIcWVTUt+N4W79qtTuPt/XzblpPlS3StNxZotmANKuJt8RjW9051Sa+XBuZ5Gk9nq4sg0kDG7ifJvCXRBTsPYlrKklYTbq8PK3H3WUFSLOaIuqvnP1CSa63OOogkeBB4JgjiHgmqk5y9+7d6OzsDPpz9913s78/MDCAtWvXYtWqVaitrQ15fKvVirS0NN5PNKlp6kFDx0DEN3XhdkPHAE/CCtA2jSeUsFLbcbk8/LJ3yVaTpunWZOst7Y/yw81wedRxvtxtoSSXlulW7jhgJLnUfsDgjjmCiGei6iQzMzNx1113Bf1JTPSlwfr7+3H//fdj+fLlqKurg9EYe5ni6sZuzZYAVDd2s+dhysNpQUayJUDCSgvHdYlTe1RLSS7u8Zu7hnDJX/tW7esklOTK0FDCinv9q/2SXFo8YHDHHEHEKzHhaQYGBnD//fcjLy8PL730Ev70pz/h+vXruH79erS7Jputta3sU74WeP3nAHzvovLSE1VP4yWZDTxJrrMaS1gJJbm0SLcKJay05GzvcICEldrp1jyO4oieY44g4pWYcJLvvvsufv/73+OXv/wlcnNz8elPf5r9iRU6+u2qvUOT2u7ot7PnO11ZhswUq6ppPEZyCfBJMSWEYYMSG6fdHjalV72lBOXF2apGQ+XF2axDqWnqYWflanWdEsyGAAkrNdOtwrq+zJhT6yFJrI075ggiHokJJ7l9+3Z4vV7Rn1iAEULWIo3H3R5zugMkrPIEIs/h3CRTrSYcEyh0XBocD8sGpTYKJay4EWUkN/qHBQodr77Xo5kN3O1Lg+PsOUsLs3Bsx0qkWk0ROzPh2tnyw82yZ7JGYiNX4Jkg4pGYcJKxTjQlrBhJLpdH+U1yyuVFqtWEiwc2RK0qjnDWbPWWErz2yAqYjeHd6M1GXwQnrCIjPI9eMMXTU8OcnAT4ImLhQv9oSnIRRDxBTlIHrgx/omkaj7tfTMKq4bul6Dm0EfctmM2WuAtFXnoiLldt5KlfMFTUt4dtg1IbxSgtzELPoY14Zt0i2RNgMpIteGbdIvQc2ijp8LWyQbgttnzi4oENOLZjJYrmpMiyJ9Vqwn0LZqOvaqNo2bhpt0f1d9JSbWKSXAQRL8RE7dZYxz4xzT71i03XF9uW2ybcHwyhJFffDQdPHkqJhFW4NoRroxhC9QqxSSRyFTsi+Zsr/U4wSS6uA6+obw+4PvmZybJqwzJjQa1xFawtmCQXQcQ65CR1IMFshMHpkx9ONGsrleTyyEsbRlqEm4kmlNoQjo1yJLmAyCSspOzR4jrJJZLC4majr5ycWuMqWJtcSS6CiEXISerAlMszIyJJNdEzktT6fWhpYZaukaQeuDxg30NH2t9QbSTJRcQz5CRvM2qaenC0pQ/2iWk20jAbfTdVI3w1TFOtZjR8tzTaXZVFc9cQ9r3dAQBsKTnGHgDI9ddkPfhQcUxIcgHMzFQXBkYm4cEte5hMgS3Jgu2r82NGkosgYhlykjpQnGNDi3/hvdbp1mSr+CXdWtvK9oGJAJhIw+XxtbnhczReAPMrT2LxnBTsKS8KcC6Ply5ES++wLulWqfRxTVMPftTUzfbdwLPr1jZjz/a6czAbfTVNxZyLRUF6MtLr9HjpwoDzM5JcDqcbbgl7mOjthmMa1Y3dqG7sxuoFs0XTzBnJFjicLl3SrdwyhQQRb9DLBB2Ya0uSvewi2H453xHCKHRcuPIxAGWzG/tuOrCz7lxAjU5hejKS/oZq84hk8rbWtqK6sVtxjVWXx1emTWyCj8ejnQ3CbeFDR01TD3bWncOY080WaJA787fFr5witlZRzXEVrE0oyUUQ8QQ5SR3QU9ldKGG1zS/JFe5N0g2fYxFKWFl0GjlCCauCvSfR0jsc0Y2+pXeYpzQidh6tEP7d1lQ1obqxG+4g/Q1l47WRSZ7SCKCfJBeg7/gmCL0hJ6kTi+ekaL7+rmhOCptKZDQr1eLqyCTPUT5VtigsG5TYmGo1sYvkmYh4WqU5ItMe8LQeT1eWya58E8l1EkpYXVVJkgsAT+txd1kBivxjTst1kotlruskiFiFnKRO7Ckv0jyNt6e8iD3fibZ+0dqqkdwkr41M8iS5LCajpulWoSQXZPRRyX7uceE/n5bpVovJGCBhpeZDUoLZgBMc3UhmzGmZbuWOOYKIR8hJ6kRpYRYyNZRHyky2sO+6luw/BTe0eSd1uLFbFwkrExAgyaXFjV4oYSWvHlF4cCW5DvslrNR8SGLS40v2nwKg75gjiHiFnKSOnH9uPXIFBcfViCRy0xN5Elaj/sIFWuBBoISV2mk8E4AjO1ay52zRWJKLe/wjO1bCpIINwjahJJeWKwu5RccZSS61063cMUcQ8Qw5SZ05XVkGs1G9NJ7ZCF5x6xcbOlV9hybW5uA44eotJchNT1QtuptyebGJ41CY9K6W79W45yktzMKmZTmYUjHdmsvReAQAh9OtyTtpbptQkgsKbQi2XzjmCCKeIScZBXoObWQjykhukklmA3oObWSP29w1hM7BcU3SeNw2NxAgybXZH1FG4riYCFIoYaX1ezWv/zwM1VtKAiLKcK/T5mU5ARJWUqlwNW3sHBxno8nSwix0HiznRZThXqfc9ETemCOIeIecZJRgJKzCvUnmZySj82A575jRlOSq3lKCzctyAIR3U0+2mnFEoFnJHEsPhOcpLczCkR0rkWw1h+XMAJ+DFC6PiKaEVefBcuRnJIftfIvmpFAESdx2UMWdKMKUftta24qzvcMI9SYx0WwIUJ/ncmX4EySatankI2wTk+Sq3lKC6i0lbDUcjwdBbTIbgSSLCa98bbnoBJCK+nZNbRC2VdS385xaaWEWzj+3nq2GMzHtDroExQjAGKSqD+CTsGKiM62vk5iEFTPm1lQ14ca4ExMhHkJMAO6VqOpDELcD5CRnAEIJq9bLNzDXloTOATtmJSdg1cJMWXU67RPT7FM/ANFtuW1yviMFV8KquWsItc2XefYokeTS2gZuWzAJq4scXc2tta2sPUXZNly3T+Dx0oWyZnqq2d9Q+4NJWHEftJgx97FjirVH7pgjiHiHnOQMQ6iRqIQEsxGJbo8ukWSi2SBLwkqokagUPSNJuUQiyaVmf0PtlythFcmYI4h4h5xkHDHl8ugaSeqxRk7PSFJrSguzdI0kLSaSsCKISCEnOUOoqG9H46XrAIAx/xKBCZcXBvjKswHAusVzY6ZOZk1TDxouDqDvpoONchh7Es0GWExGFOfYZKcpow2TNu7ot/OuTxInisvPSEb5kuyYicqEY84LsPaYjcDctETck58RM2OOILSAnGSUWVPVhOujk+yEEANuzSyEf5u5gb3V1o/jbf3IS08UnbxTnGPDhSsf65JuzZCo5LK1thUd/XaMOt2sLRDYM+nyYsLlRkvvMM70DiPNKj555/HShaL2aJVuDSZhJWUPE71NuLzoHBzHpcZu1L5/GcU5NkkJq5uOaV3SrVISVkzNWMYeoV1e+GrbXhuZxNW2frzz237MTRMfcwQR79ASkCjBFOy+NjIJs1HZ+rtrI5NYsv9UgITVXFsSe5Pjpt+423LbQu0XY8UP3kVL7zBvBqec9XdjTjd2vX4+QMKqtDCLXdSvhQ3ctimR9PHW2lbsev08xvwOUu4aw2m3By29w1jxg3dF/05q9FfOfqGEVU1TD5bsPxVQMzbUdTIbDbg2MskrCE8QtwvkJKMAo9AxofCGyG0bc7rxUmM3q/oA+JZgyJyrETFCSa6ifQ244ZiO6KZ+xq+NyEUvCSvhedZUNeFM73BEzuyGYzrAseglYWU28iWsKurb8VJjN5uVCOc6Tbi8PKURgrgdICepMxX17Tje1q9a7c7jbf28m9ZTZYs0L0uXZjXxlnhsqzun2sSXayOTPK3H05VlMGlgA/fTBP6SiIK9J3FNJQmrSZeXp/W4u6wAaVZTRP2Vs18oyfUWRx0kEjwIHHMEEc+Qk9SRmqYeNHQMRHxTF243dAzwJKwAbdN4QgkrtR2Xy8Mve5dsNWmabk223tL+KD/cDJdHHefL3RZKcmmZbuWOA0aSS+0HDO6YI4h4hpykjlQ3dqv2Dk24Xd3YzZ6HKQ+nBRnJlgAJKy0c1yVO7VEtJbm4x2/uGsIlf+1bta+TUJJLauKTGnCvf7VfkkuLBwzumCOIeIWcpE5srW1ln/K1wOs/B+B7F5WXnqh6Gi/JbOBJcp3VWMJKKMmlRbpVKGGlJWd7hwMkrNROt+ZxFEf0HHMEEa+Qk9SJjn67au/QpLY7+u3s+U5XliEzxapqGo+RXAJ8UkwJYdigxMZpt4dN6VVvKUF5cbaq0VB5cTbrUGqaethZuVpdpwSzIUDCSs10q7CuLzPm1HpIEmvjjjmCiEfISeoAI4SsRRqPuz3mdAdIWOUJRJ7DuUmmWk04JlDouDQ4HpYNSm0USlhxI8pIbvQPCxQ6Xn2vRzMbuNuXBsfZc5YWZuHYjpVItZoidmbCtbPlh5tlz2SNxEauwDNBxCPkJHUgmhJWjCSXy6P8Jjnl8iLVasLFAxuiVhVHOGu2eksJXntkBczG8G70ZqMvghNWkRGeRy+Y4umpYU5OAnwRsXChfzQluQginiAnqQNXhj/RNI3H3S8mYdXw3VL0HNqI+xbMZkvchSIvPRGXqzby1C8YKurbw7ZBqY1ilBZmoefQRjyzbpHsCTAZyRY8s24Reg5tlHT4Wtkg3BZbPnHxwAYc27ESRXNSZNmTajXhvgWz0Ve1UbRs3LTbo/o7aak2MUkugogXqCydDtgnptmnfrHp+mLbctuE+4MhlOTqu+HgyUMpkbAK14ZwbRRDqF4hNolErmJHJH9zpd8JJsnFdeAV9e0B1yc/M1lWbVhmLKg1roK1BZPkIohYh5ykDiSYjTA4ffLDiWZtpZJcHnlpw0iLcDPRhFIbwrFRjiQXEJmElZQ9WlwnuURSWNxs9JWTU2tcBWuTK8lFELEIOUkdmHJ5ZkQkqSZ6RpJavw8tLczSNZLUA5cH7HvoSPsbqm3KRZJcRPxCj4AEQRAEIQE5SR0ozrHpNnFHy0ouDI+XLtRt4o5FpxFqMeo3cUdMkkttMpItuk3ckZLkIoh4gNKtOjDXlqRbujXZqrU1wdOTSvsbqk2vpziPB5iUmZ4MtT/Ud/RaTqPmuArWJpTkIoh4giJJHdBT2V0vKSa9IrxoSWVphV5/N73GAaDv+CYIvSEnqROL56RonsYrmpMS8axVuTxVtkjzdGuq1RSwSF4rTleWya58E8l14kpYacnusgIU+ceclunWxTLXdRJErEJOUif2lBfx0lTMp9S23Dbu9p7yIt3s2V1WAIvJqNgGJTbq/a6rOMemug3cbYvJqNtDDHBrzEU6roK16TnmCCIakJPUidLCLGRqOKkmM9mie+k4LSWsTAh/3WO4vPH4KsirRxQeWkt+CYnHMUcQekNOUkfOP7ceuYKC42qk8XLTE1kJKz1hJKzUTuOZABzZsVJ3e+A/r0kFG4RtXEkuPWEkudROt0ZrzBGE3pCT1JnTlWUwG9VL45mN0O29nRjVW0qQm56oWhpvyuXFpig5FMDn+Dcty8GUiunWXI7GYzRgJM7USrdGe8wRhJ7EjJP80pe+hHnz5iExMRGf/vSn8cgjj2BgYCDa3QqLnkMb2YgykgglyWxAz6GN0TKD5XRlGTb7I8pIIhQmgoz2bMnqLSUBEWW412nzspyoO5TSwix0HiznRZThXqfc9MQZMeYIQi9ixkmuXbsWP//5z9HV1YXjx4/j8uXL+PM///NodytsGAmrcCOU/IxkdB4sj1r/hVRvKcHmZTkAwotQkq1mHBFoVkaT0sIsHNmxEslWc1iRJOBzkNF2+Fw6D5YjPyM57EiyaE5K1B0+QeiNwev1eqPdiXB45513sGnTJjidTlgs8iYnjI6OwmazwW63Iy0tLfJOWK3A1FRge0IC4HTKPszW2lac7R2GG76ndS/nE5ztJLMhQH1+JlLT1IMfNXXD4wHc/jYxeyxGIMliwitfWz5jnKMYzV1DePLNC5iYdmPaX6ZU7DqZABiNvuUxes5iDYc1VU24Me7EhMsrem2YbSOAexfM1n0SFUFoiRJfEJNOcnh4GN/85jfR39+PDz74QPL3nE4nnBxnNTo6iry8vBnnJLnUNPWg9fINzLUloXPAjlnJCVi1MHPG33SlaO4aQm3zZZ49ciW5Zipba1tZe4qybbhun8DjpQtntKMPBjPmPnZMsfbE8pgjiFDErZPcs2cPampq8Mknn+Dee+/Fv/3bvyEjI0Py959//nkcOHAgoH0mO0mCIAhCW5Q4yai+k3z++edhMBiC/pw/f579/f/v//v/0NbWhnfffRcmkwmPPvoogvn4Z599Fna7nf25evWqHmYRBEEQcUJUI8kbN27gxo0bQX9n/vz5SEwMrKt57do15OXloaWlBatWyXtfMlPfSRIEQRD6ocQXRFUFJDMzE5mZmWF9l/HtTnJGBEEQhEbEhFTWb37zG/zmN7/Bn/3Zn2HWrFno7e3F97//fSxcuFB2FEkQBEEQSomJdZJJSUl46623UFZWhsLCQuzcuRN33303mpubYbXqIKBIEARB3JbERCRZXFyMX/7yl9HuBkEQBHGbERORJEEQBEFEA3KSBEEQBCEBOUmCIAiCkICcJEEQBEFIQE6SIAiCICQgJ0kQBEEQEpCTJAiCIAgJyEkSBEEQhATkJAmCIAhCAnKSBEEQBCEBOUmCIAiCkICcJEEQBEFIQE6SIAiCICQgJ0kQBEEQEpCTJAiCIAgJyEkSBEEQhATkJAmCIAhCAnKSBEEQBCEBOUmCIAiCkICcJEEQBEFIYI52B/TE6/UCAEZHR9U6oHS7WucgCIIgVIXxAV6peziH28pJjo2NAQDy8vK0PdH0NGCzaXsOgiAIIiLGxsZgC3GvNnjluNI4wePxYGBgAKmpqTAYDJK/Nzo6iry8PFy9ehVpaWk69lAf4tk+si12iWf7yLaZhdfrxdjYGLKzs2E0Bn/reFtFkkajEbm5ubJ/Py0tLWYuejjEs31kW+wSz/aRbTOHUBEkA03cIQiCIAgJyEkSBEEQhATkJEWwWq3Yv38/rFZrtLuiCfFsH9kWu8SzfWRb7HJbTdwhCIIgCCVQJEkQBEEQEpCTJAiCIAgJyEkSBEEQhATkJAmCIAhCAnKSIfjoo4/w2GOPIT8/H0lJSVi4cCH279+PqampaHdNFf7u7/4Oq1evxh133IH09PRodycifvzjHyM/Px+JiYn43Oc+h9OnT0e7S6rw/vvv44tf/CKys7NhMBhw4sSJaHdJNV544QWsXLkSqampyMrKwqZNm9DV1RXtbqnGT37yEyxZsoRdaL9q1Sr8+7//e7S7pTovvPACDAYDvvOd70S7K6pDTjIE//3f/w2Px4Of/vSn+K//+i8cPnwYr732Gvbu3RvtrqnC1NQUvvKVr+Cb3/xmtLsSEfX19fjOd76D733ve2hra8OaNWvw4IMP4sqVK9HuWsQ4HA4sXboUNTU10e6K6jQ3N+OJJ57A2bNn0djYCJfLhfXr18PhcES7a6qQm5uLqqoqnD9/HufPn8cDDzyAL3/5y/iv//qvaHdNNc6dO4fa2losWbIk2l3RBi+hmB/+8Ife/Pz8aHdDVerq6rw2my3a3Qibe+65x7tr1y5e21133eWtrKyMUo+0AYD37bffjnY3NGNoaMgLwNvc3BztrmjGrFmzvP/0T/8U7W6owtjYmLegoMDb2NjoLS0t9T711FPR7pLqUCQZBna7HbNnz452Nwg/U1NT+PDDD7F+/Xpe+/r169HS0hKlXhHhYLfbASAu/3+53W787Gc/g8PhwKpVq6LdHVV44oknsHHjRnzhC1+Idlc047YqcK4Gly9fxiuvvILq6upod4Xwc+PGDbjdbsyZM4fXPmfOHFy/fj1KvSKU4vV68fTTT+PP/uzPcPfdd0e7O6rR0dGBVatWYXJyEikpKXj77bexePHiaHcrYn72s5/hwoULOHfuXLS7oim3bST5/PPPw2AwBP05f/487zsDAwPYsGEDvvKVr+Ab3/hGlHoemnBsiweE8mderzeoJBoxs9i9ezcuXryIf/7nf452V1SlsLAQ7e3tOHv2LL75zW9i27ZtuHTpUrS7FRFXr17FU089hf/7f/8vEhMTo90dTbltI8ndu3fjq1/9atDfmT9/Prs9MDCAtWvXYtWqVaitrdW4d5Gh1LZYJzMzEyaTKSBqHBoaCoguiZnJk08+iXfeeQfvv/++Ijm7WCAhIQGf+cxnAAArVqzAuXPn8KMf/Qg//elPo9yz8Pnwww8xNDSEz33uc2yb2+3G+++/j5qaGjidTphMpij2UD1uWyeZmZmJzMxMWb/b39+PtWvX4nOf+xzq6upCinRGGyW2xQMJCQn43Oc+h8bGRjz00ENse2NjI7785S9HsWdEKLxeL5588km8/fbb+NWvfoX8/Pxod0lzvF4vnE5ntLsREWVlZejo6OC17dixA3fddRf27NkTNw4SuI2dpFwGBgZw//33Y968eXjppZfwpz/9id03d+7cKPZMHa5cuYLh4WFcuXIFbrcb7e3tAIDPfOYzSElJiW7nFPD000/jkUcewYoVK9ho/8qVK9i1a1e0uxYx4+Pj+P3vf8/+u6+vD+3t7Zg9ezbmzZsXxZ5FzhNPPIE333wT//qv/4rU1FQ2G2Cz2ZCUlBTl3kXO3r178eCDDyIvLw9jY2P42c9+hl/96lc4depUtLsWEampqQHvjZOTk5GRkRFX75MB0BKQUNTV1XkBiP7EA9u2bRO17b333ot21xTz6quveu+8805vQkKCd/ny5XGzjOC9994TvUbbtm2LdtciRur/Vl1dXbS7pgo7d+5kx+SnPvUpb1lZmffdd9+Ndrc0IV6XgJBUFkEQBEFIMLNfrhEEQRBEFCEnSRAEQRASkJMkCIIgCAnISRIEQRCEBOQkCYIgCEICcpIEQRAEIQE5SYIgCIKQgJwkQcxQjh49ivT0dPbfzz//PEpKSjQ9H1MAP1oK8/fffz/bB6b6E0FEEypLRxAxwjPPPIMnn3xS03OkpaWhq6sLycnJmp5HirfeeguXL1/GPffcE5XzE4QQcpIEoSFTU1NISEhQ5VgpKSma19M1GAxRrUk8e/ZsjI6ORu38BCGE0q0EoSL3338/du/ejaeffhqZmZlYt24dAODll19GcXExkpOTkZeXh29961sYHx/nfffo0aOYN28e7rjjDjz00EO4efMmb78w3Xr//fcHpEU3bdqE7du3s//+8Y9/jIKCAiQmJmLOnDn48z//c8U2zZ8/HwcPHsSjjz6KlJQU3HnnnfjXf/1X/OlPf8KXv/xlpKSkoLi4mKdRyqSK/+3f/g2FhYW444478Od//udwOBw4duwY5s+fj1mzZuHJJ5+E2+1W3CeC0AtykgShMseOHYPZbMaZM2dYzUCj0Yh//Md/xO9+9zscO3YMv/zlL/E3f/M37Hd+/etfY+fOnfjWt76F9vZ2rF27FgcPHoyoH+fPn8e3v/1t/O3f/i26urpw6tQpfP7znw/rWIcPH8Z9992HtrY2bNy4EY888ggeffRRfP3rX8eFCxfwmc98Bo8++ii4paA/+eQT/OM//iN+9rOf4dSpU/jVr36FzZs3o6GhAQ0NDXj99ddRW1uLf/mXf4nIToLQlCgXWCeIuKK0tNRbUlIS8vd+/vOfezMyMth//+Vf/qV3w4YNvN/ZsmWL12azsf/ev3+/d+nSpbxzCVUXvvzlL7PqIMePH/empaV5R0dHZfW9rq6Odz6GO++80/v1r3+d/fcf//hHLwDvc889x7a1trZ6AXj/+Mc/sscC4P3973/P/s5f//Vfe++44w7v2NgY2/Y//sf/8P71X/8173x9fX1eAN62tjZZ/SYILaFIkiBUZsWKFQFt7733HtatW4ecnBykpqbi0Ucfxc2bN+FwOAAAnZ2dWLVqFe87wn8rZd26dbjzzjuxYMECPPLII3jjjTfwySefhHWsJUuWsNtz5swBABQXFwe0DQ0NsW133HEHFi5cyPud+fPn896rzpkzh/cdgphpkJMkCJURzgz9wx/+gPLyctx99904fvw4PvzwQ7z66qsAgOnpaQDgpSnlYjQaA77HHA/wCeNeuHAB//zP/4xPf/rT+P73v4+lS5diZGRE8bksFgu7bTAYJNs8Ho/od5jfEWvjfocgZhrkJAlCY86fPw+Xy4Xq6mrce++9WLRoEQYGBni/s3jxYpw9e5bXJvy3kE996lP44x//yP7b7Xbjd7/7He93zGYzvvCFL+CHP/whLl68iI8++gi//OUvI7SIIG4faAkIQWjMwoUL4XK58Morr+CLX/wizpw5g9dee433O9/+9rexevVq/PCHP8SmTZvw7rvv4tSpU0GP+8ADD+Dpp5/GyZMnsXDhQhw+fJgXJf7bv/0bent78fnPfx6zZs1CQ0MDPB4PCgsLtTCTIOISiiQJQmNKSkrw8ssv48UXX8Tdd9+NN954Ay+88ALvd+6991780z/9E1555RWUlJTg3Xffxb59+4Ied+fOndi2bRseffRRlJaWIj8/H2vXrmX3p6en46233sIDDzyAoqIivPbaa/jnf/5nfPazn9XEToKIRwzecF6GEAQRdxw9ehTf+c53wnpnqSYfffQR8vPz0dbWpmkZPoKQA0WSBEGw2O12pKSkYM+ePVE5/4MPPkiRLjGjoEiSIAgAwNjYGAYHBwH4UrWZmZm696G/vx8TExMAgHnz5qlW0o8gwoWcJEEQBEFIQOlWgiAIgpCAnCRBEARBSEBOkiAIgiAkICdJEARBEBKQkyQIgiAICchJEgRBEIQE5CQJgiAIQgJykgRBEAQhATlJgiAIgpDg/wfQ5EBNSf/8CgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#coil parameters\n", "a = 150 *1e-3 #m\n", "b = 78*1e-3 #m\n", "d = 60*1e-3#0.5445* 70 *1e-3 #m\n", "\n", "HH_Coil = BC.BCoil(HH = 1, distance = 0, radius = 0, layers = 7, windings = 11, wire_height = .5,\n", " wire_width = .5, insulation_thickness = (0.546-0.5)/2, is_round = True,\n", " winding_scheme= 2)\n", "\n", "HH_Coil.print_info()\n", "print(f\"N = {HH_Coil.get_N()}\")\n", "\n", "HH_Coil.plot_raster()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "legendgroup": "Collection(id=2508555896688)", "line": { "color": "#2e91e5", "dash": "solid", "width": 2.2 }, "mode": "lines", "name": "Collection (2 sources)", "opacity": 1, "showlegend": true, "type": "scatter3d", "x": [ null, -72.27000000000001, null, 0, -14.454000000000004, 0, -14.454000000000004, 0, null, 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HH_Coil.full_raster(raster_value=1)[:,0]\n", "# winding_offsets[:,0] -= HH_Coil.distance\n", "# winding_offsets[:,1] -= HH_Coil.radius\n", "\n", "for i, coord in enumerate(winding_offsets):\n", " vertices[4*i] = np.array([-(a/2+coord[0]),-(b/2+coord[0]),coord[1]])\n", " vertices[4*i+1] = np.array([a/2+coord[0],-(b/2+coord[0]),coord[1]])\n", " vertices[4*i+2] = np.array([a/2+coord[0],b/2+coord[0],coord[1]])\n", " vertices[4*i+3] = np.array([-(a/2+coord[0]),b/2+coord[0],coord[1]])\n", "\n", "# Create a rectangular current coil\n", "coil1 = magpy.current.Polyline(position=[0,0,d/2], vertices=vertices, current=I)\n", "\n", "# Create a second coil\n", "coil2 = magpy.current.Polyline(position=[0,0,-d/2], vertices=vertices, current=I)\n", "\n", "# Combine them into a collection (like multiple windings)\n", "system = magpy.Collection(coil1, coil2)\n", "\n", "system.show()\n", "\n", "# Evaluate field at a point\n", "origin = 0\n", "B0 = system.getB([origin, origin, origin])\n", "print(\"Magnetic field at center:\", B0*1e4, \"G\")\n", "\n", "#cacluclate heterogeneity\n", "offset = 1e-3/np.sqrt(3) #m\n", "eval_pos = [origin+offset,origin+offset,origin+offset]\n", "err = np.linalg.norm(B0 - system.getB(eval_pos))/np.linalg.norm(B0)\n", "print(f\"heterogeneity:\", err)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## With rounded corners" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Single coil parameters: \n", "\n", "coil width = 4.011317005446927 mm\n", "coil height = 6.247999999999999 mm\n", "N = 84\n", "wire length = 42.30775131606171 m\n", "R = 3.778936753385714 Ohm\n", "L = 3.477777094188354 mH\n", "tau = 0.920305715906058 ms\n" ] }, { "data": { "image/png": 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"gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } } } } }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Magnetic field at center: [ 0. 0. 10.74349564] G/A\n", "max. heterogeneity at 1mm: 1.073e-04\n" ] } ], "source": [ "system, len_x = coil_helpers.rectangular_HH(HH=1,\n", " a=175*1e-3,\n", " b=94*1e-3,\n", " distance=69*1e-3,\n", " corner_radius=20*1e-3,\n", " layers=8,\n", " windings=11)\n", "system.show()\n", "\n", "# Evaluate field at a point\n", "origin = 0\n", "B0 = system.getB([origin, origin, origin])\n", "print(\"Magnetic field at center:\", B0*1e4, \"G/A\")\n", "\n", "#cacluclate heterogeneity (for rectangular along short wire)\n", "offset = 1e-3 #m\n", "eval_pos = [origin,origin+offset,origin]\n", "err = np.linalg.norm(B0 - system.getB(eval_pos))/np.linalg.norm(B0)\n", "print(f\"max. heterogeneity at 1mm: {err:.3e}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "------------------" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ a = \\frac{1}{2} m \\omega^2 \\implies \\nu = \\frac{1}{2 \\pi} \\sqrt{\\frac{2a}{m}}$$\n", "\n", "Be aware that the spatial directions do not directly correspond to the ones in the experiement:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from scipy.optimize import curve_fit\n", "import scipy.constants as const\n", "\n", "def f(x, a, c):\n", " return a*x**2 + c\n", "\n", "extend = 10e-3 #m\n", "\n", "coords_x = np.linspace((-extend,0,0), (extend,0,0), 100)\n", "coords_y = np.linspace((0,-extend,0), (0,extend,0), 100)\n", "coords_z = np.linspace((0,0,-extend), (0,0,extend), 100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "x:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "trap frequency: 0.552 Hz\n" ] } ], "source": [ "x = coords_x[:,0]\n", "Ex = 10*const.value(\"Bohr magneton\") *system.getB(coords_x)[:,2]\n", "\n", "poptx, pcov = curve_fit(f, x, Ex)\n", "\n", "if poptx[0] < 0:\n", " print(\"potential is not convex\")\n", "\n", "nu_x = np.sqrt(2*abs(poptx[0])/(161*const.u))/2/np.pi\n", "print(f\"trap frequency: {nu_x:.3f} Hz\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "y" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "potential is not convex!\n", "trap frequency: 1.476 Hz\n" ] } ], "source": [ "x = coords_y[:,1]\n", "Ey = 10*const.value(\"Bohr magneton\") *system.getB(coords_y)[:,2]\n", "\n", "popty, pcov = curve_fit(f, x, Ey)\n", "\n", "if popty[0] < 0:\n", " print(\"potential is not convex!\")\n", "\n", "nu_y = np.sqrt(2*abs(popty[0])/(161*const.u))/2/np.pi\n", "print(f\"trap frequency: {nu_y:.3f} Hz\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "z" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "trap frequency: 1.249 Hz\n" ] } ], "source": [ "x = coords_z[:,2]\n", "Ez = 10*const.value(\"Bohr magneton\") *system.getB(coords_z)[:,2]\n", "\n", "poptz, pcov = curve_fit(f, x, Ez)\n", "\n", "if poptz[0] < 0:\n", " print(\"potential is not convex\")\n", "\n", "nu_z = np.sqrt(2*abs(poptz[0])/(161*const.u))/2/np.pi\n", "print(f\"trap frequency: {nu_z:.3f} Hz\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check if the fit converged properly:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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G0X9MDGpN3b8wJoVUA6ZWq+j/SGtQNJzen8m6T47ScaCamN7tMLq5OzqeEEKIesBUWsrSqVPIz0hBa7yJyE43M3BMDBpt3S+iQMZINXhqjZp+j7akSTs/zKXH2frVbJa+/ioWU7mjowkhhKjjbFYLP775OvkZKaByJrRlOwY+EYNGV3/Kj/pzJuKqaTRq+j/WitAWUaByIif1FD+++SY2q9XR0YQQQtRRit3O8pkzyTh9DNARGjOKoRN6o9XVr4mgpZASAGi0aoZOuJmwmIcADefiD7Ji9jsodrujowkhhKhjFEVh9YdzST78B6AmsPl93PHCQLRO9auIAimkxN9odGrumHQbQS3uA1QkHdzOmo/mOzqWEEKIOmbj519ycsd6APya3MndL92Brh4WUSCFlPgfWp2Ge166m4CmwwA4sX0NGxd97dhQQggh6ozM5EJO/HEeAJ9Gg7n3tQdwMtTfe9ukkBIX0DppuPe10fg0GgDAsS1xnEvIc3AqIYQQtV1WShGr3j+IStOZ4BZPcP8bj9frIgqkkBKXoHXS8MBb4whq8RBq/U38Mvcw6afyHR1LCCFELXVs6z5WzPkDU6mVwCYe3PnioHpfRIGDC6mtW7cyZMgQgoODUalUrFix4h+32bJlCx07dsRgMNCkSRPmz79wDM+yZcto2bIler2eli1bsnz58iqvz5gxg86dO+Pm5oa/vz/Dhg3j5MmTVdqMHj0alUpVZenWrdu/Ot+6Ruek4e6X7iQ02huLycbKD/ZzbOshR8cSQghRyxzdspd1H79JUeYS/BrpGPJ02wZRRIGDC6mSkhLatm3L3Llzr6h9YmIigwcPplevXhw4cICXXnqJZ555hmXLllW22blzJyNGjGDkyJEcOnSIkSNHcs8997Br167KNlu2bGH8+PH88ccfxMbGYrVa6d+/PyUlJVWON3DgQNLT0yuXNWvWXJsTr0N0ThpuHd+G4ChXynJXsO7jqRz+bY+jYwkhhKglTuw4wq/zZoBiQe/ixpCnO+FkbBhFFIBKURTF0SGg4vlvy5cvZ9iwYZdsM2nSJFatWkVcXFzlurFjx3Lo0CF27twJwIgRIygsLGTt2rWVbQYOHIiXlxfffffdRfeblZWFv78/W7Zs4cYbbwQqeqTy8/OvqJfsUgoLC/Hw8KCgoAB397o9U3h5STmLnptEacFpUBkYOO5VWt3YxtGxhBBCOFD8npP8MucVFHspetdGPDxnFi4ero6O9a9V5/O7To2R2rlzJ/3796+ybsCAAezduxeLxXLZNjt27LjkfgsKCgDw9vausn7z5s34+/vTrFkzxowZQ2Zm5mXzmUwmCgsLqyz1hcHFwKh33sLgFgZKOb/Oe4sTO084OpYQQggHOXPgDL/893UUeylOzoGMmjW9XhRR1VWnCqmMjAwCAgKqrAsICMBqtZKdnX3ZNhkZGRfdp6IoTJw4kRtuuIGYmJjK9YMGDeKbb77ht99+491332XPnj3cdNNNmEymS+abMWMGHh4elUtYWNjVnmqt5Ozuyqh33sbJOQDFXsKaD6ZxYme8o2MJIYS4zk4fTGbF7NdQbIXoDD6MnPk2bj6ejo7lEHWqkIKKS4B/99eVyb+vv1ib/133l6eeeorDhw9fcNlvxIgR3HrrrcTExDBkyBDWrl1LfHw8q1evvmS2yZMnU1BQULmkpqZW69zqAldPDx6aNRMnoy+KvZA1H07jxM7Tjo4lhBDiOkk7mcf6hXtR7Ca0Th48OH0mnv6+jo7lMHWqkAoMDLygZykzMxOtVouPj89l2/xvLxXA008/zapVq9i0aROhoaGXPXZQUBDh4eEkJCRcso1er8fd3b3KUh95+PkycuZMdHpPFFsJG77YSeKhLEfHEkIIUcNS43L5Ze4h7DYvwts/zv3TZ+IdEujoWA5Vpwqp7t27ExsbW2Xd+vXr6dSpEzqd7rJtevToUfmzoig89dRT/PTTT/z2229ERET847FzcnJITU0lKCjoGpxJ3ecZEMCDb88iotMYVKpg1n1ylNP7Lz+GTAghRN11+sA5Vr33K1aLnfAYH4ZN7Itf2OU7IRoChxZSxcXFHDx4kIMHDwIV0xscPHiQlJQUoOJS2UMPPVTZfuzYsSQnJzNx4kTi4uL4/PPP+eyzz3j++ecr2zz77LOsX7+emTNncuLECWbOnMmGDRuYMGFCZZvx48fz9ddf8+233+Lm5kZGRgYZGRmUlZVV5nr++efZuXMnSUlJbN68mSFDhuDr68vw4cNr/hdTR3gHBzNs4kCiOgdgtyusnb+V49uTHB1LCCHENZawJ41V775Jef4S/MJyGfREa7S6+vnsvGpTHGjTpk0KcMEyatQoRVEUZdSoUUrv3r2rbLN582alffv2ipOTk9K4cWNl3rx5F+z3hx9+UJo3b67odDolOjpaWbZsWZXXL3ZMQFm0aJGiKIpSWlqq9O/fX/Hz81N0Op3SqFEjZdSoUUpKSkq1zq+goEABlIKCgmptV9fYbHZl1fuxyjsj7lTevf9x5dCmM46OJIQQ4hqJ25mqzHlgnPLOPbcqc+4brqSeOO7oSDWuOp/ftWYeqfqoPs0j9U/SE+JZMvUl7NZy1NpQ+o5+gXb9mjg6lhBCiH/h2LYU1n8yG7slEZVGx10vT6NRq9aOjlXj6u08UqL2Copqxj2vvYFaq8duPcumL95h75pTjo4lhBDiKh3elMz6T96tKKLUOu566fUGUURVlxRS4poJadaCu1+ZhlrrhN2awrZv3uOPFSeRTk8hhKhb9q9PZONn/8VuOY1KreWOya/SKEaeZnExUkiJayo0uhV3vfw6ao0OuzWJnT/MZdv3J6SYEkKIOkBRFHb/fIYdy04BalRqDcMnvULjNu0dHa3WkkJKXHNhLVtz50tTUWt1KJg5/Fsym785id0uxZQQQtRWiqLw+4+n2LM6CZVKww33jef+N98hol1HR0er1WSweQ1qSIPNLyY94STZaTq2LU1CUSCqkz83P9wSjUbqdyGEqE3sdoXNXx3jyOYNaJxac+O9zWjTt3495qw6qvP5rb1OmUQDFBTVnKAoMLq5EvvZMU7s2IKp3MSgJ9rJ/CNCCFFL2Kx2Yj8/QtzWRdgtpwiOtNKm782OjlVnSNeAqHFNO/rTpG0KlpK1nNr5Oave34u5zOroWEII0eBZzDZWf3SgsohSa7R0urWPo2PVKVJIieuiZa8OaHRO2K3JJB/4gp/e2UVZkdnRsYQQosEylVpY+d89nN7zxZ9FlI5hL7xCRPtOjo5Wp0ghJa6LsJatuWvKG+j0RuzWVM6dWMyyWTspyi13dDQhhGhwSgvNLHtnN6mHv8JuSUSj1TF80isysPwqSCElrpvQ6Fbc/cqbOBmdUaxpZJ7+ih9nbif/fKmjowkhRINRmF3Gsll7OX/yW+zWZLROeu586XUat+3g6Gh1khRS4roKimrOPa9OR+/iimLLIC/1O36ctZvM5EJHRxNCiHovJ62Yn2bvozC7HFffzuidXbnr5TcIayWTbV4tmf6gBjX06Q8uJysliR+mvYzevSflpdHo9BoGjW1NWAtvR0cTQoh6Kf1UPqs/Poyp1IpXkAu3P9MWnd6O3tnZ0dFqnep8fkshVYOkkLq88pJi1GoDa+YfIe1kHmqNilsebklUpwBHRxNCiHol6XA2a+b/galgLUHRwxk2sTcGF52jY9Va8tBiUScYXFxxMmoZ8lRbwlu7Up6/jHULtnFk81lHRxNCiHrjxM50fvloO+V532G3JqNY1qN3lmkkrxX5TQqH0+jUqGxbsVuTMBd+z+avbZQWdqbLkAhUKpWj4wkhRJ2kKAoH1qfw+497MBf9CEox7n4BDBo/Ud5bryEppESt0Hf0GHLTUshMOoO5+Ht2r7JQkm+izwPNUcsjZYQQolrsdoXtPyRwKHY/5uJloJThHRLGXVPewM3b19Hx6hX5hBK1grO7B3e/Op3g5i1BMWEu+pGjW3awZv4RLCabo+MJIUSdYbXYWP/pUQ6u34m56HtQyvBvHMmIqW9LEVUDpJAStYbBxZW7Xpr254RwVizFKzmzbzsr/ntAZkEXQogrYCq18PMHhzi1LxNb+e+AmdCWMdzz2nSc3T0cHa9ekkJK1Co6g4Gh/3mF6J69ATvW8h2cT8xh2ax95GfKxJ1CCHEpRbnl/PTOfs4l5KM3ahky8SU6DLqdOydPQ+/s4uh49ZZMf1CDZPqDq6fY7fz+/TeEtuzO1qWZFOWUY3DVcev4NgRGyLcqIYT4u6zUIn758CDFucm4+TTmtqfb4hvq5uhYdZZMfyDqPJVazQ33jqRxm6bc+UJH/Bq5UZqfzIp393HmYJaj4wkhRK2RciyHn2bvoyAjFnPRElr1KpAi6jqSQkrUei4eejr0A3Px95Tlr2DN/P0c3pTq6FhCCOFwx38/x89z91Oa+zM2034A1Cqrg1M1LDL9gagbVHY0Wi02yxnMhT+y9bthFGaV0+OupqjVMh+KEKJhUewKu34+w9418ViKV2G3pqLWaBk4/jla9Ozt6HgNivRIiTqhaaeu3D3lzT8fdpyOuWgJB2KPslamRxBCNDBWi43Yz4+xd/VRzEVLsVtTcTIauWPyVCmiHEAKKVFnhES35L5ps3Hz9UOx52Eu+o4z+4+y/N39lOSbHB1PCCFqXFmRmZX/PUj8nlTMRd+h2LJx8fRixNSZhLdu5+h4DZIUUqJO8QkN4/433sGvcRNQSjEXf8/5xGR+nLmX7LNFjo4nhBA1Ji+jhB9n7iXjTAEGFxda3tgP7+BQ7nvjHfwbN3F0vAZLpj+oQTL9Qc0xl5Xy83sz0endKCroSf75MnR6Df0ebUVEG5m5VwhRv6TG5fLrwqOUl5Tj4efKrePb4hXojKW8DCejs6Pj1TvV+fyWQqoGSSFVs+w2G4qiYDEprFtwlLMnMkGloeedzWh3S5g8lFMIUS8c3ZrGlu9OYin9HY36LA/Nmo2Hn3ym1CSZR0o0CGqNBo1Wi8FFx61PxWDQb8RSvIrffzzOpq9PYLPaHR1RCCGumt1mZ9vSeDZ/cxRz0S/YyndhLk3jXPwBR0cTfyPTH4h6ITc1meLcU9gtZsxFSzm+bRgFmWUMeqI1Bledo+MJIUS1mMqsrP/0KMlHUjEXr0SxZaDWaOk3ZrzcmVfLSI+UqBcCmjRlxGszcPbwRLFlYS76lrNxJ/jh7T3kpBU7Op4QQlyx/POlLJu5l6RDJzEXfYtiy8Dg6sZdU94gpm8/R8cT/8OhhdTWrVsZMmQIwcHBqFQqVqxY8Y/bbNmyhY4dO2IwGGjSpAnz58+/oM2yZcto2bIler2eli1bsnz58gvafPzxx0RERGAwGOjYsSPbtm2r8rqiKEydOpXg4GCMRiN9+vTh2LFjV32uouYFRTXngbfm4NuoMYq9BHPx9+SdO8SyWfJYGSFE3ZByPKfiLuTUE5iLl6LYi/AKCuH+N98hrGVrR8cTF+HQQqqkpIS2bdsyd+7cK2qfmJjI4MGD6dWrFwcOHOCll17imWeeYdmyZZVtdu7cyYgRIxg5ciSHDh1i5MiR3HPPPezatauyzdKlS5kwYQIvv/wyBw4coFevXgwaNIiUlJTKNrNmzWLOnDnMnTuXPXv2EBgYSL9+/SgqklvsazN3P3/ufX0WEe07gWLFUrKasoLdrJ1/hL1rkpB7K4QQtZGiKBzamMovHx7CVGoloHEoBlcDYa3acN+b7+AVFOLoiOISas1deyqViuXLlzNs2LBLtpk0aRKrVq0iLi6uct3YsWM5dOgQO3fuBGDEiBEUFhaydu3ayjYDBw7Ey8uL7777DoCuXbvSoUMH5s2bV9mmRYsWDBs2jBkzZqAoCsHBwUyYMIFJkyYBYDKZCAgIYObMmTzxxBNXdE5y157j2O02tn37JQd//YVmPcZz5lDFHXxNO/pz00Mt0Ok1Dk4ohBAVrBYbW76LJ+73c6hUKqK7B9Ln/mjyM9PwDAhCo5XhzNdbvb1rb+fOnfTv37/KugEDBrB3714sFstl2+zYsQMAs9nMvn37LmjTv3//yjaJiYlkZGRUaaPX6+ndu3dlG1G7qdUaej/4CA/Pmc+gJ2+mzwPNUatVJOw9x7JZ+yjIKnN0RCGEoDivnOXv7Cduezzmom9p3rmUmx5qgUanxickTIqoOqBOFVIZGRkEBARUWRcQEIDVaiU7O/uybTIyMgDIzs7GZrNdts1f/71cm4sxmUwUFhZWWYRjufv5A9CqVwg33OOOuWgRmUnH+GHGHlKO5zg4nRCiITuXkM/30/eQcfrEn4PKz5N0cDl2mzw/tC6pU4UUcMEki39dmfz7+ou1+d9116rN382YMQMPD4/KJSws7B/ORlxPZ/auRbEVYSn+iZLcP/j5g4Ps/zVZxk0JIa4rRVE4svksK+bspyhrD+aiH1DsJfg2aszdr7wlvVB1TJ0qpAIDAy/oEcrMzESr1eLj43PZNn/1Lvn6+qLRaC7bJjAwEOCybS5m8uTJFBQUVC6pqalXcZaiptz6zAu06nMLoGAt24q5eA07fjrBrwuPYi63OjqeEKIBsJht/PZlHFu+O465+FesZb8Bdpp378X9b7yDh3+goyOKaqpThVT37t2JjY2tsm79+vV06tQJnU532TY9evQAwMnJiY4dO17QJjY2trJNREQEgYGBVdqYzWa2bNlS2eZi9Ho97u7uVRZRe2idnBgw9llufuRJ1BoNdstJzEXfkbAnnh/f3ktueomjIwoh6rGCrFKWzdpH3M5UzEVLsZmPoVKpufHBR7j12RfQGQyOjiiugkP7D4uLizl16lTlz4mJiRw8eBBvb28aNWrE5MmTSUtLY/HixUDFHXpz585l4sSJjBkzhp07d/LZZ59V3o0H8Oyzz3LjjTcyc+ZMhg4dysqVK9mwYQPbt2+vbDNx4kRGjhxJp06d6N69OwsWLCAlJYWxY8cCFZf0JkyYwPTp04mKiiIqKorp06fj7OzM/ffff51+O6ImqFQq2g24Fd/wxvw8ZwalBdlYir4lJ+0+fnzbxE0PtaBpR39HxxRC1DNJh7OJXXQcc5kVZ3dnGjVvQ+qxP7jt2UmEt2nn6HjiX3Do9AebN2+mb9++F6wfNWoUX3zxBaNHjyYpKYnNmzdXvrZlyxaee+45jh07RnBwMJMmTaosgP7y448/MmXKFM6cOUNkZCRvvfUWd9xxR5U2H3/8MbNmzSI9PZ2YmBj++9//cuONN1a+rigKr7/+Op988gl5eXl07dqVjz76iJiYmCs+P5n+oHYrys3ml//ORGdwQWO4jXMJFTcHtL05jO53RKLR1KkOWyFELWS3K+z5JZE9qxMBM4FN/Bj4eAxGNw0l+Xm4+8oXt9qoOp/ftWYeqfpICqnaz2a1YjWb0ekN/LHyDPt/PQ2KmaCmQfR/LAY3b+lqF0JcnZICE7GfH+NsXDqWkrW4eGp4eM476PTy/M/art7OIyXEtabRatE7O6PWqOk+PBL/0H2Yi74m7eQxvn9rD8nHZIoEIUT1pZ3M4/u39pB6LA5z0TfYrUmUFaSSk5ro6GjiGpN7LIX4k6m0hNL8syj2EizFP1Js7cbPH5roPLgJnW+LQK2+9NQXQggBoNgV9v2azK6Vp7GW78Nath2w4xkYxO0TX8IvPMLREcU1Jpf2apBc2qt7LOXlbFw0n2ObNwCg1jZC5zKIkOYh9HukFa5eegcnFELUVqWFZjZ+eZzkI2lYStdht1T0PjXv3ot+jz+N3tnZwQnFlZIxUrWEFFJ11/GtvxH76UdYTSZUame0zoNw8WrKzaNa0Li1r6PjCSFqmdQTuWz4/DilhWYsJT9hMyeh0enoO+px2twy8LKTOYvaRwqpWkIKqbotJy2VX/77Ntmpyai1ruhcH0al0tH2ljC6D4tEo5UhhkI0dHabnd2/JLJvXTIo4B3sQudb3dnx/TwGPjkB/8ZNHB1RXAUppGoJKaTqPovZxJbFnxLRvivnTrlzeNNZAPzD3ej3SCs8A6SrXoiGqjCnjA2fH+dcfCp261la33wLN9wThc5J84+PFBO1W3U+v2WwuRCXoXPSc8tj4wGI7Aih0V6sm7+Cc/HlLHmrhN73NiO6e5C8YQrRwCTsOc/mb09SVnAMS+kGVFho3uVmdE4a4MJntYr6SwopIarBN1SFtTQWa3kpdssZNn5xC8lHc+nzQHMMLjI3jBD1nbncyrYl8cTtTMZSugm7+TgAgVHNcfH0cnA64QhSSAlRDS5eXnQZdhc7fvgGuyUBc+E54ncN4HxiAbc83JKQZvJGKkR9lZFYQOznx8k/F4+ldB2KvQiVSk2XYXfT/a770GjlI7UhkjFSNUjGSNVf58+cYs2H75B7rmLMlEbfFq3zjbTvF0nX2yPQ6jQOTiiEuFZsNjt7Vyexb10y5pLt2Mp3AeAREMigcRMJiW7p4ITiWpPB5rWEFFL1m8VUzrZvv+TAup8BUKm9cHJ/EJ8QT/o90hLfUDcHJxRC/Fu56SVsWHScrJQiALwDz3AubgWtb+pPn4cew8koN5zUR1JI1RJSSDUMSYcP8Ou89wiM7EjO+faUFVlQa1R0GRJB+/7hMiO6EHWQYlc4vPksO36Kx2rKx+jmR+/7m9O0oz9pJ48TGt3K0RFFDZJCqpaQQqrhKC8uRqPTYjGp2fzNCU7vPwVKGUFRzbl5VAu8Al0cHVEIcYUKs8v4bXEcqccrxkJptFZGzpyLd5Cno6OJ60QeWizEdWZwdUWnN+Ds7sSAx1vi4rIFc9ESzh77mSVv7uDghhTsdvnOIkRtptgVjm45y7fTdpB0aDXmom9RbNlonWyYSzIdHU/UUnKLgRDXmN1iJTAyjLz009hM+yjLOcXW7/px5kBrbnqohUziKUQtVJhTxqavTpBy9BiWkvUo9lwAmnbuzi2PjZOpDcQlyaW9GiSX9hq20/t2s+HTjyjOzQFA49QavXtvug5tQbubw1BrpENYCEdT7ApHtqSxY3kC5fm/YTMdAMDZw5ObHxlLVNeeMrlmAyRjpGoJKaSEqbSUbd9+waHYNRUrVC44ud1NQEQ4Nz0ULXf2CeFAueklbPrqBBlnCgBQs5bSvDha9b6F3g89itFV/n02VFJI1RJSSIm/nD1+lPULPsRqUaFyuhdzmR21WkX7AY3oNLixzDslxHVks9k58GsKu34+jGJT4WR0p/vwSBq3NpJzNpnGbTs4OqJwMCmkagkppMTfWc1mSvLz0Oo92fpdPKcPpGMzHcU7rAt9H2hJaLS3oyMKUe+ln8pn0zdxZCX+jrXsd9x8W3DfG6/i5m1wdDRRi8hDi4WohbROTnj4BwAwaGxrVn+4ixPbfyPr1EF+mn0TLXt1oeedTTG6OTk4qRD1T3mJhZ0rTnN00x4spRtRbNkAuHlbMMjsJOJfkEJKCAdp0iGK5MMelBXmYin+kSMbDnPmwE3ccE8HWnQPQiUTeQrxrymKQsKe82xdcoCirN+wm+MA0Du7cuMDo2l9U39UarnxQ1w9ubRXg+TSnvgn5SXF7PjhGw6u+4WKf4patIZuBLfoTZ/7Y/BrJINdhbhaOeeK2bYkntTjxzAXLQfMoFLR5qYB9Lx3JM7uHo6OKGopGSNVS0ghJa5UVnIiGz6bx7mTx4GKqRKcXPsR0zuUrrdHoHfWOTihEHWHudzKntVJHN6Yit2uoNFYsZR8gVdwILc8MpbAps0cHVHUclJI1RJSSInqUBSFE9s3s23JVwQ1f4iU43YADK5aug9vKpf7hPgHiqIQv/s825bspDhnP1pjH5q08+OGu6OwWfPw9A+Uy3jiikghVUtIISWuht1uQ63WcPZELluXxJN5ejkKCgGR/enzYCeCm3o6OqIQtc75pEI2f7OP9BOx2MxHAIVOt4+h9wNDHR1N1EFy154QdZhaXTGnVGi0NwMfb8Si544DCulxJ/n+jQ4063YrvUbEyO3aQgAlBSZ+//E4cVvXYC3fC1gAiOzUjbY3d3FsONEgSI9UDaqpHimT1YZapUInjxhpENITTrLpy89IT6gYP4XKgJNLdzoOvo1OgyNxMsr3IdHwWEw2DqxPYveqXzAV/Q5KKQD+EVH0HfUooS1iHJxQXA9Wmx2rXcFwjSc1lkt7tURNFVIrDqTx609f8LJ+CTk+HdE3uYHQdjfhGtDkmh1D1C6KonBm/242ffE5BZlpFStVbrgF3En34d1o2SsYjRTWogGw2xVO7Exn16ozlOSbMBd9h2LLwNUngL4PPSzPxqvnSkxWjpxKxrh9Ol7Z+5hruo02g8fwYLfwa3ocubRXzx06m0875Rih1hRCz6fA+eWwEzJVfmR4tkMJ64ZftxEEBYXKG0o9oVKpiOzYlYh2nTiyKZbtS77BVGrCXO7K1iXxHN50lm7DmtCknZ/8mYt6SVEUko5ks2nxWkqL/FCp9Hj4GYka+BBOhnza9huERit3t9YrdjtZiQdJP7KFxFwzn5b05Hh6ISq7hcP6n3FWmWhrP87B1PxrXkhVh/RI1aCa6pGy2xUSU1JIO/wb9qQd+Ofvp5ntDFqVvbJNH9O7lLtF0DHciwGeqbTw0RDeuhdOLjJvSn1gMZvISk4mJ82Z3b8kUlZkxlK6Fu/g1vQddSuNWvo6OqIQ10xaQh6/fbGGrMSNKLZM9G49uOHeB2ndOxSNTnpi6wtLWREpR7ZRcHI7+ox9hJUcxZ1iABLsIfQzzwYgxNPIcx6b8AsKJ7hNXyIbN0F9je9olkt7tcT1vGvvfFYOiYe2UnZ6O045cYwqHo/1z7rqI9173KrZjU1RkaKLINe7HdpGXQlu3Ru/RtEgPRh1mrnMSuznv3Bi66cAqNQ++EfezC0P305gpKdjwwnxL2SlFrLh89Wkn4xFsWUCoNY60WXoPfS8514HpxP/iqKQdT6V/TlOHEjJZ39KHm+ee4xmqrNVmpUqeuJ1zcnz7URh14l0ivAlxNNY4/HqVCH18ccfM3v2bNLT02nVqhXvvfcevXr1umT7jz76iLlz55KUlESjRo14+eWXeeihhypft1gszJgxgy+//JK0tDSaN2/OzJkzGThwYGWbxo0bk5ycfMG+x40bx0cffQTA6NGj+fLLL6u83rVrV/74448rPjdHTn9QarZyKLWA/Sl5NDvwFq0KtxFM1gXtzuPDtKZLaNvIh3ZhXrQOcsFo0F/XrOLfKy8uZteKnziwbhU2SzlQUVAFNruJm0ffTkCEl4MTCnHlctKK2bjoZ84eX49iq3jfUmv0tLllMN3vuktmJK+DyksKST66nYL4negz9hNScgxnpZTWpk+xUTFQfKZ2Ab21R0h2bk15YCc8m/ekaevuuDjXfOH0v+pMIbV06VJGjhzJxx9/TM+ePfnkk0/49NNPOX78OI0aNbqg/bx585g0aRILFy6kc+fO7N69mzFjxvDtt98yZMgQACZNmsTXX3/NwoULiY6O5tdff2XixIns2LGD9u3bA5CVlYXNZqvc79GjR+nXrx+bNm2iT58+QEUhdf78eRYtWlTZzsnJCW9v7ys+v9o0j5SiKKQmnybtyBZsKbvwyT1IE+tp4pRwhpnfqGy3ymkK7jobWR6tUYV0wje6B2HNO6LRynC6uqC8pJidP/7EwfWrsFv/KqjciezyJD3uaodfmDxyRtReuedK2LM6kVP7M7EU/4rNfAy1xonWNw2mxz13SwFVR9jtCmeyizmYWoDTgUXEpC+jkTW5yvATAIui4Un3D/GLaE37Rl50CDHSJMDnml+muxp1ppDq2rUrHTp0YN68eZXrWrRowbBhw5gxY8YF7Xv06EHPnj2ZPXt25boJEyawd+9etm/fDkBwcDAvv/wy48ePr2wzbNgwXF1d+frrry+aY8KECfzyyy8kJCRUDtQdPXo0+fn5rFix4qrPrzYVUhdTUlLCiVOn2Z3nwoGUPOJSzrPJ8uAFf9lLFT1J+mac8+9NWefxtA31JMzbKIOaazFTaQk7ly3n0PpfsNmMOLk9iEqlIqKtL+37hxIUeeVfCISoaecSMvjti2XkZfqh1lSM7wttrsLVI5ked9+B0a32vX+KCordTkbqKdKP/44pZS/uOUd41jSWU6aKovcpzXKe1/0AwHm8SXVuhSmwA25NexDRugdutfTPtk7ctWc2m9m3bx8vvvhilfX9+/dnx44dF93GZDJhMFSdhNBoNLJ7924sFgs6ne6Sbf4qtC6W4+uvv2bixIkXFAabN2/G398fT09PevfuzVtvvYW/v391T7XWcnFxoWPbNnT882dFUTh/7gBpR7ZiSt6DW85hIkwncVWV0dJ8hIRkN549dQAAb6OGhYb3MXk3Rx/emeCWPQgMaSzFVS2hd3ahz8gH6TnibtJOpBK/x0TC3vOcOXiOuC1v4RHQihvuvZvm3aLlz0w4zKl9p9j6zffkpe0BLKh1zWnRazSdb4vAJ8TV0fHE/1AUhfOFJk4f24P6+AqMOUcILTtJEPkE/a1dpOUkabrutA7xwMX3TvY69yS4VS+CGkUSUA/fbxxWSGVnZ2Oz2QgICKiyPiAggIyMjItuM2DAAD799FOGDRtGhw4d2LdvH59//jkWi4Xs7GyCgoIYMGAAc+bM4cYbbyQyMpKNGzeycuXKKpfy/m7FihXk5+czevToKusHDRrE3XffTXh4OImJibzyyivcdNNN7Nu3D73+4mOITCYTJpOp8ufCwsJq/EYcT6VSERjSmMCQxkDFuDOb1Upi/EGyTu4kp9iNNgUexKUX4lWeQkdlB6TtgLRFsAOy8CLN0IxS3xhUTfsR2qY3oV7Sc+VIOic9jds0pXEb6HxrYzZ89hMph0soyNjN6vd285tHNB0HD6HzkF6oZR4qcR3Y7XYOrNvFnp9XUJJbMWs/gN41gM5DbqbrsNaODSiAv75YJ5MW9wem5H2ss3ZgTZYf2cUmhqh38KHTp5VtrYqaJG0EOR6tUIV05P9aD+KjyCi0DeQ9xWGX9s6dO0dISAg7duyge/fulevfeustvvrqK06cOHHBNmVlZYwfP56vvvoKRVEICAjgwQcfZNasWZw/fx5/f3+ysrIYM2YMP//8c8XcO5GR3HLLLSxatIjS0tIL9jlgwACcnJz4+eefL5s3PT2d8PBwlixZwh133HHRNlOnTuX111+/YH1tvbR3tUxWGwlnkig9+CPq9IP4FB6nkTUZjer//1X6wDqMOdZ78DDq6B5gZ6RqNbrQ9vhHdSYsspVMHukgiqJwcudeti/5noLzcZXrNU6+NOvWjz4jh+LsLj0B4tqzWezE78lg4+ezMRUlVK5382tGj7vuolXv7vKly0FsdoWUc+fIPhyL+exBXHKPEVIejx/5lW2mW+5jgW0IGrWKG3xKeFr9A/agdng07UJ4y24YnOvX+0aduLTn6+uLRqO5oPcpMzPzgl6qvxiNRj7//HM++eQTzp8/T1BQEAsWLMDNzQ1f34rr6n5+fqxYsYLy8nJycnIIDg7mxRdfJCIi4oL9JScns2HDBn766ad/zBsUFER4eDgJCQmXbDN58mQmTpxY+XNhYSFhYWH/uO+6Rq/VENMsEppNqlxXXlrE6eO7yT+9B3XGQdJtXdDlqCgos2BKOUBPp8WQvhj2QJFiJMWpCfnuLVAFtcG1xS1ENm2Oi14GtNc0lUpFdI/ORPfozNkTp9ny9Q9knNqFzZxN3NYlnE3woO3NLYm5MQQXD7l7U/x75+LPcPakjWPbzlNaaMZmDQAS8YvoxI3330XjNtGOjtiglJaVknzyIPln9nO4zJtfC8I5kVFEpCWBn/VTqrS1KyrOakLJcmtBl8gbGNC2By2D3DE6aYC7HXMCtZDDPrmcnJzo2LEjsbGxDB8+vHJ9bGwsQ4de/mndOp2O0NBQAJYsWcJtt92GWl21h8NgMBASEoLFYmHZsmXcc889F+xn0aJF+Pv7c+utt/5j3pycHFJTUwkKCrpkG71ef8nLfvWdwdmNZp1uhk43A9AJeN1qJ/58EelxGvbG3Y5nQRyNLIm4qcpoZTkGOccg50ee25/OCqUX4d7O9PXO5SbNIYxhbQiM6kRwSCO55FRDQqMjeeDNFynKLWDzVytIPZaEpdyZvauT2L8uGWfXvTTt1JwuQ/qjM8gDksWVs5rN7FuzkQO/rqEkNxGdy61onJrj4qmn5Q3DaN7lcTz85YaHmqQoCmnZ+Zw/upnS1EPoso7jWxJPI1sKLVQVQ10SrTex3/oYAMm6RpzSNqXAvTlKYFu8IjsREt2JRi4eXHgPvfi7WjH9wfz58+nevTsLFixg4cKFHDt2jPDwcCZPnkxaWhqLFy8GID4+nt27d9O1a1fy8vKYM2cOsbGx7Nu3j8aNGwOwa9cu0tLSaNeuHWlpaUydOpXExET279+Pp6dn5bHtdjsRERHcd999vP3221VyFRcXM3XqVO68806CgoJISkripZdeIiUlhbi4ONzcruwW8tp+154j2C1m0k4fIjthD9a0w7jmHWeq7WF2FVcM4n9Ys5bXdF9Vts9R3Dnr1IQij2aoAlqibzGIyIgmeLk4OeoU6i27zc7pA1kc2XSWc/GpmAr/muBTT2jLLnQbfithrVrJ5RdxUYqikHbyJH/8tJrUo39gt5X9+YoK94Be3PjAQzTt6I9GK1+MrrWCggJSEw5SkHSQxBIdK8vacSK9CEyFHDE8dkH7IpxJ0zfhbMAtlHZ8gpZB7kT4uqCpBdMO1BZ14tIewIgRI8jJyWHatGmkp6cTExPDmjVrCA+veGZOeno6KSkple1tNhvvvvsuJ0+eRKfT0bdvX3bs2FFZRAGUl5czZcoUzpw5g6urK4MHD+arr76qUkQBbNiwgZSUFB555JELcmk0Go4cOcLixYvJz88nKCiIvn37snTp0isuosTFqXVOhEV3Jiy6c+W6pUBOsYm49CJKj2RyMDEFn5LTBNvS8FEV4mM5CNkHIRuG71dxQInCz03PnR4n6ak9gSagJZ6N2xIa1QZ31/p1nf56UmvURHUKIKpTAKlxQWz7No2MUztQ7AWkHt1G6tFt6F39aHnjTXQeMgg3b3kMjaiQmZzDj2++QFnh+cp1KrUbfhHd6Hn3ECLaRUgBfg0Um6wkZBRQfnAZ1oxjGPITCCg7Q6iSQcxfY1RtrdhjqfgM1WlcOKRtDUZvzD4tcG7UlsBmnfEJaUq0SoVcVL02HD6zeX0mPVL/jqW8mPSEg+ScOYAt4yjOefFMUD1PfF7F669pv+Rh7a+V7W2KirOqILKMjSn1iCKr5SOEhTUiyt9VerCuUkl+OTuXb+Xk75soLzoBWADwbTyczkMG0bSjP05GGdvW0JQVFXI27gQ2WxhxO9I5l5CPqXAJiu08etfmRHXrQ487++Dm7ezoqHVSQUEhaWcOk59yDFtGHBmlCv8tv51zBRWT7O7Vj8VXVfWu8DzcyTA0IdenI1md/o/oIDea+LriJD2AV6XOTMhZ30khVTNKTFbizxdRcmglzsm/4VJ4iiBzEu6UVGnXvnw+eVT83v/PuJqeTvGUuDdB5dsM5+BoAiLaEBgUKncQXgHFrpB46By7VsSScXoPOpfbUKn0aHVq3L1PYrcm0fqmPjTt3E1mn66nyouLOb13F4d/28S5+MOggN7jCVRqIyoVBDax07p3MyI7hdWKmalrO7td4VxBGaezSjiTVUzYkbl45x3G35RMsJKJ+m93QZ9VfLnB9AEAfm563nJajK/RDn4tcW3UmuCo9rj6hMhzU68hKaRqCSmkriNFoTArlYzThyhOPYo5J4mP9Y9yOrOYtPwyFulm0ldz6ILN8hUX0rWhfBL+LsH+fjTxcyXKuYSwoAC8PDzkcsRFlOSbOLkrgxM708nLKMVU+A2K7c9LOio1gZEtaNmrF1FduuPq7ePYsOJfKS0sIGHXDo5v3UZ6wlEU5f8/9UCl8cMr5HZa921P826BuHnLDQkXk19QQHpSHAWpcVgyE9Dmnca9NBmL1cIw07TKdsucXqOj+v/fFV6IKxlOjSh2j0TxbYHSdSxNA9zwdJbe9evhmhdShw8frnaIli1bom3gz2eTQqp2KDVbST++g6LEvdgyT2IoOIN3WTIB9opvfYWKkTamT4GKommh7h36afaTgQ+ZuhCKXcKxekag92+KR0g0gU3b4enSMO/O/DtFUTifVMjB2COc2vM75pKTKLbMKm0CI1ty35tvX3BXraidFEXBbrOh0WrJTS/h96UriN/5XeXrKo0vOmMzIjv2oF3/dgRFypcNgILCQjKST5CbkcwedTuSsktIzCnhmczX6K3srdK79BeboqKN9UuCfTyJ9HPlNtV2QowW3MNaEdi0LS5eQdLD5EDXvJBSq9WoVCqutPNKrVYTHx9PkyZNrixxPSWFVO1mM5VyPukYmRln2adpx5msYs5klfBy+lPEKBefL6xYMRBj+gwPoxPhPs6MVK0lUG9B69sEl8Cm+IY1IyCw4V0utFnsJB/L4diW4yQd3o2lLB7Flo5a1xS/JiOIbO9Pk/a+xG39gcCmzWgU01YuAdYS5cXFpBw9SNKhA5zZv5eAyD6UlbYgL6MUxV6MuXglWkMUjVp3oXXvGMJjfNA6aRwd+7qy2RXOF5aTkltK+cmNaM7tQ1uQjGvZWfws5wgkB6h4CG+06QtsVPx+5ug+5g7NdopwJlMXQqFLBDbvSAyBzfEKa0lA0w5odTpHnpq4hBoppHbv3o2fn98/HlxRFGJiYjh8+LAUUlJI1Vll+VlkJB2j8OwJzFkJaPOTcCtNocCq486ylyvbrXOaRLQ6tcq2JYqe8+oAMoyR/Nz0DUK9jIR6GYnU5RDg74+vjz+qetxDYy63kngomxM7T5N2IhOFioLJbsvDXLjoz1Yq/CMiady2PWEtWxPcvAVOBqPjQjcgdpuNs3FHST12mKRDB8g4kwB/+xhQaxvj5HYHao2K0Ghvmnb0o0k7P/TO9fcDX1EUcnKyyU47ReG5U5hzklDlp2AoOYu7KYPbTW9QZqvoHXpfN5ehmgufB1uMM5naYBZHvotfYCiNfVxoaiwk1NcDF88A6V2qY655IdW3b1+WL19+wRQClzJ48GA+++yzy05e2RBIIVU/lZqtpOSWkpxTiueB+Whz43EpScHbfA5fe25lN36cPYxB5pmV2611mkQLdSpFipFMjT+FToGUOYdgdw9B7dsUWtxGiKeRQA8Dem39+MZvLreSfDSH0/uzSDyciKlwL3ZrMootu0o7lVrDjQ+MptNtwy+xJ3G1ykuKKcnLxSe0UUXBkFbAVy88jN1mqWyjUvug1oWjNTSmcZu2RHUOoXFrn3pTPJnNFrIzUshNP0NJZhLW3BTWuN5BaoGFs3mlPFnwHnerN11y+xtM75Oh8ifEy8hIpy10IA67Z2N0fpG4B0Xh37iFFEv1jAw2ryWkkGp4bOZystNOkXs2gazCUvY6deZsXilnc8uYkzGKUM5fdLv/LbqWGN/GQ2OmRB+A2TkIxT0YnVcIzj5heARG4BcaiUFXt4otq8VGWnw+yYezOX0giaKsBGzWFOzWs2AvxC3gTiI7dSO0uRd2awo7f/yc4KhogptFE9CkKb6NwtFo68cHe02xWa3knE3h/JlTnIs/QXrCCXLOpuDmG0JU9+dIPZ5LUW455pI1AKi1jXD1iSKyfQSNW/sSEu2Fro5dtisvLyc7I5mC8ymc1jUjvchKekE5zVO+o13+BjytWfgqeehUVR9c37P8fdKouMryH+0SxmtXUYAr2dogiozBWNzCUHs1whjQBI/ovgT4eDeYh/AKKaRqDSmkxP+ylBWRnXaa/HNnKM1KxJaXgrboHGl2L/7L/ZzLL6PcYuew/jHcVRc+ZBsgzt6IQea3cTdoCfQw8KJ1Pi46sLkEoHYLQOcZjLN3CO5+YXj5B+PsUvsmka3oGSkh5XgOqcdzSTuZgt1uQKWqKJSsZTuxlu+sso1Gq8W3UWMCIprSachwvIJCHBG91rCUl1d5dM/qD2aTsHsHNovlgrYqtRdO7iNRqbSoNSqCmnoQ1sKbRi198A1zrZUDxsvLSsg9f5Z0xYvMYhuZRSbck38l+PxW9OWZuJqz8bLn4KUUVvYC/704ekG7hHHaVZX7sypqstW+5Ov8KTUGsr/pM7gHNSHU00ios5lAT1ecnOV9WlSokZnN//4w3kvuTKslMDCQm2++mbZt217proVoMHRGN4KatiOoabsq6zsAQ6goMPJKzGQlLCEpKxlTbipKwVm0JRkYyzPxsGSRpqp4qHdhuZXC8mI66TdXFF35Fx7vmD2ce5iFn5sePzc948oWYNSpUJx9Ubv64+Thj94jAFfvQDx8g3Hz9LsucwCpVCp8Q13xDXWlQ/9wrOY2pJ8qIDUul7T4PDKT26PSBmC3pqNY07HbzmOzmjh/5hTnz5zCr0lPdAYfXDz1HN0cS/zO7XgFh+AdFIpXUAhewSG4efvU+bFoiqJQnJdD3rk08tLTyD2XRt65s2SnplBamM+j739DzrlSMpOLSIsvqCiiVHrUGn9UmkDU2mA0uiD8wgMIjvIkrIU3wVGe6PTXv9dJsdspzM+hMOccmZpAskoVckpMuCVvxD9zO7ryHAymHNysuXja83FXlRAM3GN6j7NKxSOk/qPdznDtL1V3rAKzoiFX7U3PMB1mn2ACPAyEqh/kEDfj6heOd1AEnv6hBGq0BP65WYfrevaiPrviHqm+ffv+Yxu73U5mZibx8fF8+OGHjBs37l8HrMukR0rUBEVRKCy3kllYTkZBGcZjS7AVpKEqzkRXlomzORt3aw7e9nx22FvysGVS5baX6+k6bI/gDut0PJ2d8HbR8ZrpXZw1dix6L+xGL1RGb9QuPuhcfdB7h6AL64iHUYeHUXfNZ082l1vJOF1AWkI+6afyyUwqxGLKR7Gdx247j9bQHZVKi8FVh608lqKs/RfsQ6PT4e7rx10vv4m7X8UH8fnE05QV5OPi7YOLpxdGN3eH9cYoikJ5cRElebkU5+dV/Dc3h05D7kDz59Qx6z7+L8e2bLzkPpzcH0at8QIqBvMDaPXe+DdyJ6ipB8FRngQ19UR/jWeft5jKKMzPoiQ/m9KCHExF2Zxx60yOSU1+qYWwtF+Iyt2M3pyPs7UAN3sBHkpR5eW13qY5JCsVJc3z2qU8pV150eOYFS1PGmaQ59EKfzcDXVVHaWk5htojGIN3KG6+YXgHNsLN2x+Vum5dkhS1W430SG3adOmBeP/ryy+/ZNq0aQ2+kBKiJqhUqsoCJirADZo9c9F2it1Op9ISNpWrySoykVVYzom4p7EXZ6IuzcapPAejORcXWwHuSgE5ijtWu0J2sYnsYhOt9btxV5XxPxPGA3DQ3oRB5jcrf96o/w/uqlJK1a6Ua1wxa92w6Fyx6dwocW3MySajcDPocDVoCcvfi9FJjd7FA4OLBwZXT4wubuid3Ss/DJ0MWhq18qFRq4oJPe02OzlpJZxPKuT8mQKyUovITS+lvNiC3doKrbM3ii0PxZ6PYstFsVf0zuSln+Pk7nx8glW4+xnYv+Znjm/d8P9/l2o1Blc3jG7uGN3cuP3/Xq6cluHU7h1kJpxEo4BaAa1ej1NAABqdDpVKTaBVQfPn3GOZWekUFBZgV6uxq1QoWg12vR5zeRnmsjJ63fcQemcXAH7//hsOb1hLeXERdlvVcTsAzl4x2KyuFGSVkX7aBqhQqT1QabxRqb1QaTxRq31QaXxRawx4Brrg18iVwIhmBES44xPqeunpN+x2TDY7JWY7JSYr5uwzWHOSMZUWYi0twFZeiFJWAKZCVKYilvs8SqbZSGG5hVvzvmZw+RpclWKMKjM+wN+nW33W9C5JSsUNRs9rDzFCu/V//uJW/KdYMRLloeDt7omPix4DffjD7IXK1Q+dewAGr2DcfEPw8A/Bzd2Hz6r0Kna8+HkJ4UA1MkYqKyuLgQMHsm/fvmu96zpFeqREXWKyWMgttZJbYiavxIIhfiXWomyUkmxU5XloTXnozAUYrAWcUsKYbHuCIpMVRYHD+kcriq6LOGhvwrC/FV3b9c8Qqsq+aNs4InhE/y7OThqcnbS8UPIO3uRj0xiwaYzYNQYUrQFFa6RM788JzxFoCq2Qb0aXeZ7yIi0WkxZFsaPYi8BehFoXWrl/S9nv2C2nQSlBsV+Yt6sqCqfiAlSFucQ7l5LhcelZpG9JycYprwCAYyG+JPteel6sbvqmaMxqrJ4BJFnPc74ovvI1ldqASu0KuIDaBa2hO2pNxb4UxQxoUKk06JxsGF3LMTiX4mwsxNmYi1GXjUYpZWPQYxTbtJSZ7XTLXErL4h3obGU42ctxspejV8oxUoYzJjqWzyPnzykpXtcuYpQ29pK5+1Qpjqr2HNkVFYUqF4pVrpSq3fnU7wXKPZri6ayjhfUEEeYEtG6+6N39MHr64+oVgKdvIAajyyWPJ0Rtcc17pCZOnMgbb7yBi8uV/QOYM2cO69evv6K2QojaQa/TEeShI8jjz/mcoh69ZNvmwK1UTFRYVG6h8PxmMgpzMBXmYirOw1qah70sH8oLycWTO9xCKCy3UGyykpkVhsVqxKiU4qKU4kw5mj8HC1vskP7ng1kBGjsdJUydddEMp+1BPGTuXPnzWqdJtPBKpdzuSq41jAJrEAXWAHKKQsizBVOgDkRn7AnGngAoihWUMhR7OYpSBko5B3VRqDwruk5spuNorGdRsIJiA8WKorJWbKdS+L3lSFQqA6DCYj6O2poMKm3Fgrpi4LzKCVQ6Dujbo3KueICvoi7Eya0LKrURVEZUqv//NqxXFeFiycLNepyN2iiSDC5k6RSe1X/C3bo/Cx4rUPTn8qcnztxA7p/PlWyrjaeV9sAl/+xcVOXkKB7otWoKnfxJUkIpV7tg1jhj0bpg1blhc3JD0bvzcHgbdO6BeBh1+NlDiVcex9nDB1cPX9w8vfHUaPD8c7+zqhwl5pLHF6K+uaIeKY1GQ0ZGxhVNyAng7u7OwYMHZUJO6ZES4h9ZrTZKy0ooK86ntNxEkc6PUrONUrMVl5TNKKW52C1lKOZSFEsZmEtRWcsoVLnxq9f9lFvsWMrLGRU/C+/z51BjQxulQqNYUNstlP2ooLL+WRypdZicPCg1epLt5UWqvweHm7hhtLhisLriXeyCRjGixoDWbkBn/3fPjzOry7FoykEpR6Eclb0YjbUYvbkIY1kxnsWFlDrnsb9HDt6qPAKtJnp8oUP9Z167SkWmRwAaHxXe3kVYA5yx+rlg1+ixawx/9tDp+SP0UdRGD4xOGsJKjuFjTkOjd0FrdEWrd0Xv7IaTsytGVw8M7v64GJzkVn4hLuOa90gpikKzZs2ueFBmSclFBlUIIcRFaLUa3N3ccXe7yJtV9IiLbmMrLqHswAE67t1C6Z49lB85gvLnbf+mYG++H9uPhPwEEvMTuadNPgApfirSvW1keOWR45aHok4CwKh1xkfvjbfemzInT9y07rgYfHHWuaLWuOFSbsfJpkJj16JVdKjtatTKX0WICquzH6BgVVtQLDnYlVLMKjPlqjIsShkWexkl1mKKrMXkWYvILc8h15RDiaX4f85Kg5PFSFFbO2FZEJ4FbmUKgfkZFXdkngaXG9oS8c6nlVuU7NyJoVUrelZ5o4+s5p+AEOLfuKJCatGiRf/c6H8EBARUexshhLgYRVGqfJFLuv9+zPHxVdoUGuF0kIpTQXksi/+xcpbpRQN1hLmFEeERQXu3MEJcQwj7879BLkE465yv67n8pdRSSkZpBmeLzpJWnEZaURqpRals9k0kpTAFm92KRwk0yVCITIfIdIWj+p0cX3E7rX1b00kXSfTDs0GlwtCiBS49e+Jyww04t2+HyunSY7uEENeWTMhZg+TSnhBXz5qbS/GmTRRv3kzZkaPYln7I7uz97M7YTavPt9PitIm4MBXHG6mIC1Vx3gu8jT609GlJC+8WNPNuRqRHJOHu4Thp6lZhYbFZSClK4XT+aeLz4onLjeNEzgkyyzIr2zRJV3hmpY3gvKrbqpydcenaFa8HH8C1Z8/rnFyI+kFmNq8lpJASonrMqakUbdhI0cYNlO0/AHZ75WuvPaAhrlFFL5PGpqBzMhLjG0M7/3a08W1DK99W+Bn9auUs3ddKdlk2x3OOcyjrEIcyD3E4+zD6/FJaJym0PaPQJlHB889pwlIn3EGbkU8T6BKINScHW2Eh+ogIx56AEHWEFFK1hBRSQly5nK++IvOt6VXWnQmEvU3VHIhUkR5qpENQJ7oGdqVTYCeaezdHp27Yz96z2q3E58Wz7/w+dqXvYl/GHnzPltD+jML69ipKjCqaeTVj5AE3mn+3C310NB633Yr74MHogoMdHV+IWksKqVpCCikhLs5WXELRurVom0QQF2xnQ/IGju9ey4sfZ3G8kYrdzVTsi1ITGNmaG0JuoHtwd2J8YtBpGnbh9E+sdivHco7xx7k/2J62ncPZh7ErdkZutDFor4L2/3fwYejQHs/bb8d98GA08v4kRBVSSNUSUkgJ8f8pikLZ3r3k//QT+WvXoio3sauNnndvtf3VgECLM22ienFj6I3cEHIDPkafy+9UXFZeeR6/n/udrWe3cjBhK62OFNHzuJ0WKfDXfYeKqzPNtm9HazA6NKsQtYkUUrWEFFJCgC0/n/xlP5H13TcoZ89Vrk/zhvUd1Pze05O+YX3pF96PbsHd0Gv0Dkxbf1lsFnZl7GJD8gb2H42l1cF8+hy2k+qn4vsHQhkcMZjbmtyG75ajuN54I1pvb0dHFsJhrnkhdccdd1zxwX/66acrblvfSSElGrpSSynxQ25Fn5QBQJkT7GihYkd7I4179Gdw5K10Dera4Mc6XW9Wu5W95/ey5vRqtpyKJVdVMfdfWJbCu5/asGs1uA7oj9+DIzG2a1evB/ALcTHXfEJOD49LP0NKCCH+othsFG/axNnWAfx4ZgVrEtfQp0khN5ZCbEct1lu6MbDFcB4J6+Ow+ZsEaNVaugV1o1tQN8q7vcyWs1tYfWY1GWlbOBVko2m6jdLVa0levRaleRNCxozDfUB/VDopeIX4X3JprwZJj5RoKOylpeQs+5H0zxagy8jhw9vUbGtdMQqnkTGE4dF3cnvTofg7+zs4qbicnLIcfj79M7t++4Y229LocVzB6c8hbBY/T5p8+hmuzVs6NqQQ14GMkaolpJAS9Z2toIC0RQvJ/+prdCUmAIoMsLSvFs2wQdzV7C46BXZCrZLnutUliqJwIPMAP+/7BvWKWG7ZawEVTJnox9AWd3Fv9L34GXxRqeXPVdRPNV5I/fjjj3z//fekpKRgNpurvLZ///7q7q7ekkJK1FeK1crp2W9SunQZunIrABmesPkGd4LveoA72tyHn/OVPeRc1G655bn8dHQp23Z8x36PimnUdWj48Fsjvj360OTJ59D5S0+jqF+q8/ld7a8TH3zwAQ8//DD+/v4cOHCALl264OPjw5kzZxg0aNBVhxZC1A1Hso4wcdt/OLjpe3TlVpL94McHwyn7ajZTZm7niW7PSBFVj3gbvHms05N89tRvzOkzh/b+7Yk5ZcE7OR/7dys4cVNfjkx+Fktm5j/vTIh6qNo9UtHR0bz22mvcd999uLm5cejQIZo0acKrr75Kbm4uc+fOramsdY70SIn6wlZYyPGPZ7IwOp1NBXsAaJqm0NPQkt73/h+dgrrInV0NyMHzB9j4wztELj9A87SKjxCLTo1yx0BaPTsFrbeXgxMK8e/U6KU9Z2dn4uLiCA8Px9/fn9jYWNq2bUtCQgLdunUjJyfnX4WvT6SQEnWdvayMwx/PwP7NcoylVlZ0U7H0JidubXIrD7d6mKZeTR0dUThQYn4i65bNJvjbzTT7s6Ay6dWUf/oWXTsNleJa1Fk1emkvMDCwslgKDw/njz/+ACAxMREZty5E/aDYbBz58n329umGfuEPGEutnPVV4dvlBn4Z/gtv3fCWFFGCCM8Innz0Y7qs3MiO5/qSFKAi0dfOmGNTGLVuFHsz9jo6ohA1rtqF1E033cTPP/8MwKOPPspzzz1Hv379GDFiBMOHD7/mAYUQ19fJ9T+yfUA3tDPm41ZgJstDxZ4x3Wm1ej1jxi0g1C3U0RFFLRPkGsSjT3xMh9W/kTT5XvRaAwcyDzBu5Wg23NqN46sWyxdtUW9Vu5BasGABL7/8MgBjx47liy++oEWLFrz++uvMmzev2gE+/vhjIiIiMBgMdOzYkW3btl22/UcffUSLFi0wGo00b96cxYsXV3ndYrEwbdo0IiMjMRgMtG3blnXr1lVpM3XqVFQqVZUlMDCwShtFUZg6dSrBwcEYjUb69OnDsWPHqn1+QtQV6cXpvLTtJTZ89iq+Z4sp0cOBu9sQuWYND/3f5wR7SAElLi/ANZDnbnmNNXes4Z5m9zB0N4ScLkD1wgw2DutF0oGtjo4oxLWnONCSJUsUnU6nLFy4UDl+/Ljy7LPPKi4uLkpycvJF23/88ceKm5ubsmTJEuX06dPKd999p7i6uiqrVq2qbPPCCy8owcHByurVq5XTp08rH3/8sWIwGJT9+/dXtnnttdeUVq1aKenp6ZVLZmZmlWO9/fbbipubm7Js2TLlyJEjyogRI5SgoCClsLDwis+voKBAAZSCgoJq/maEuH4KcjOUjzdOVzp+1VGJ+SJG6fVhK2XpuIHKqeQDjo4m6rjktDhl6TO3KQdbRivHm0crR6KjlV+euUPJzUx1dDQhLqs6n99XNNj88OHDxMTEoFarOXz48GXbtmnT5oqLuK5du9KhQ4cqPVktWrRg2LBhzJgx44L2PXr0oGfPnsyePbty3YQJE9i7dy/bt28HIDg4mJdffpnx48dXthk2bBiurq58/fXXQEWP1IoVKzh48OBFcymKQnBwMBMmTGDSpEkAmEwmAgICmDlzJk888cQVnZ8MNhe1mcVmYdNnr+O2cDkJgQqz79LQKaATz3d6nla+rRwdT9QjJ45tJWHayzQ9lA1AobOK3Edu5ZZx0+U5i6JWuubP2mvXrh0ZGRn4+/vT7s8HWF6s/lKpVNhstisKaTab2bdvHy+++GKV9f3792fHjh0X3cZkMmEwGKqsMxqN7N69G4vFgk6nu2SbvwqtvyQkJBAcHIxer6dr165Mnz6dJk2aABUD5zMyMujfv39le71eT+/evdmxY8clCymTyYTJZKr8ubCw8B9+C0I4xv7dP5MxdSoRZ0oBaKLT8kHHt+jTaojcaSWuuehWNxK9dBu7Vi6g/J2P8M8yc2Dzau4MPcnkLpPpHtzd0RGFuGpXNEYqMTERPz+/yv8/c+YMiYmJFyxnzpy54gNnZ2djs9kICAiosj4gIICMjIyLbjNgwAA+/fRT9u3bh6Io7N27l88//xyLxUJ2dnZlmzlz5pCQkIDdbic2NpaVK1eSnp5euZ+uXbuyePFifv31VxYuXEhGRgY9evSovBvxr+NXJxvAjBkz8PDwqFzCwsKu+PchxPVwPi+V754fhm70C0ScKcWkhXP396Hzhp30jbldiihRo7oOfZweG/4g/dGBrB7oTWJBIo/HPs5LP4/nXHaio+MJcVWuqJAKDw+vfINNTk4mJCSE8PDwKktISAjJycnVDvC/b9yKolzyzfyVV15h0KBBdOvWDZ1Ox9ChQxk9ejQAGo0GgPfff5+oqCiio6NxcnLiqaee4uGHH658HWDQoEHceeedtG7dmltuuYXVq1cD8OWXX151NoDJkydTUFBQuaSmpl7ZL0GIGmaxW1iyfg7Hbx1Iu19OorXDuTZBhKxcxs2vzkPv7OroiKKB0OmN3PSf//LNQ2t4sMWDaFQami/cxKlbb+X7L17EbDP/806EqEWqfdde3759yc3NvWB9QUEBffv2veL9+Pr6otFoLujhyczMvKAn6C9Go5HPP/+c0tJSkpKSSElJoXHjxri5ueHr6wuAn58fK1asoKSkhOTkZE6cOIGrqysRERGXzOLi4kLr1q1JSEgAqLyDrzrZoOLyn7u7e5VFCEc7nHWYe3+5l9kpn6Oy2yly02J/YyI3Ld2IX2RLR8cTDZS7kzuTukxiSc8FNM/S4Veg0Prtlfzw4A3sjd/s6HhCXLFqF1KX6pXJycnBxcXlivfj5OREx44diY2NrbI+NjaWHj16XHZbnU5HaGgoGo2GJUuWcNttt6H+n6eQGwwGQkJCsFqtLFu2jKFDh15yfyaTibi4OIKCggCIiIggMDCwSjaz2cyWLVv+MZsQtUWxuZh5Xz3LyNUPEJ8Xj7OrF6XTnqb9xu20unuMXMYTtUJ0ZBc6x/5O/vAbsaugw4EiLPc9yYIPH6XAVODoeEL8oysabA5wxx13ABWXu0aPHo1er698zWazcfjw4WoXGRMnTmTkyJF06tSJ7t27s2DBAlJSUhg7dixQcaksLS2tcq6o+Ph4du/eTdeuXcnLy2POnDkcPXq0yiW5Xbt2kZaWRrt27UhLS2Pq1KnY7XZeeOGFyjbPP/88Q4YMoVGjRmRmZvLmm29SWFjIqFGjKs9xwoQJTJ8+naioKKKiopg+fTrOzs7cf//91TpHIRxh07FfSHrzVfocKON0PzX6EcN4vtPzeBnkGWii9tG4utJ9xidk3fE7pydNxPNcIb0+2sGqzb3xe3UKA9rcKYW/qLWuuJDy8PAAKnqk3NzcMBqNla85OTnRrVs3xowZU62DjxgxgpycHKZNm0Z6ejoxMTGsWbOG8PBwANLT00lJSalsb7PZePfddzl58iQ6nY6+ffuyY8cOGjduXNmmvLycKVOmcObMGVxdXRk8eDBfffUVnp6elW3Onj3LfffdR3Z2Nn5+fnTr1o0//vij8rgAL7zwAmVlZYwbN468vDy6du3K+vXrcXNzq9Y5CnE95ZXn8eUXE+n02R90KwK7Ch7wH0z7G95ydDQh/pFf5574rN3K0Vmvov5uFWFpJp7fPZW1Odt4pfsr+Bp9HR1RiAtU+6HFr7/+Os8//3y1LuM1VDKPlLieNp5cw4npU7hpVxkAJUEeNJ31Hp6duzk4mRDVV3T4EKvilvGO6WesihUPJ3cmt/0/BrcYLr1TosZV5/O72oWUuHJSSInrIb88n3k/vkCnedsIrZjBA/sdA2jxygzUf+s5FqIuOpl7kld+f4XQDccYssvOjkc78cSD/5XeKVGjqvP5Xe3B5ufPn2fkyJEEBwej1WrRaDRVFiHE9fN72u/cseoO/ji7g8A8MHk6EzT/Y1pNf0+KKFEvNPduztcDvuT+o54E5sOwOXtZ9OwAfkuM/cdthbgeqt0jNWjQIFJSUnjqqacICgq6oIv1cnfHNTTSIyVqSpm1jPd2vcu3p5YCEOERwQzbUJrfdAdaLxlQLuofW1ERCa+8gLJuMwBxoZDw7K08NfB1XHQy1ERcWzV6ac/NzY1t27bRrl27f5OxQZBCStSE4znHWfTp0wxZdo6Zd2voeeP9PNfxOYxa6YES9V/OyhWce+1VtOUWig3wwx1+3D/2A9r5t3N0NFGP1OilvbCwsIs+Z08IUbMUReGrQ4tYPfEeHll0Dr9CeOt0e17q+pIUUaLB8Bk6jOarfsEW3QTXcnjouyxe+G4UCw8vxGa/sme9CnEtVbuQeu+993jxxRdJSkqqgThCiIvJK89j0k9jcP2/Wdy2q+LDwvneu2jz/qcOTibE9efUqBGtvl+O68MjOXx7NOmedj448AFPbHiCrNIsR8cTDUy1L+15eXlRWlqK1WrF2dkZnU5X5fWLPT6moZJLe+Ja2JOxh0WLnuOhH3LwKAWbs55Gb8/GvX8/R0cTwuEURWHV6VW8testPM+X0qzYlXsffYcbQm5wdDRRh1Xn8/uKJ+T8y3vvvXe1uYQQ1WBX7Cw4vIAtKz9iyrfWiu7jqAiafTQfp0aNHB1PiFpBpVIxtOlQYtyiSBlxP4EZBaw88zj7xj3G+E7PoFVX+2NOiGqReaRqkPRIiauVX57P5O2T2Z62HZVd4f2V3jRtdQMhr7yK2mBwdDwhah3FbObc7FkUfvUNAEfDVWx5vBNTB8+ROadEtdX4hJynT59m0aJFnD59mvfffx9/f3/WrVtHWFgYrVq1uurg9Y0UUuJqHM0+yowfn+aYUxZaJwNTuk3h9rBBqP/2fEshxMUVrvuV1MmTUJeZyHKHz+735dn73qdDQAdHRxN1SI3etbdlyxZat27Nrl27+OmnnyguLgbg8OHDvPbaa1eXWAiBoih8f/J7PvzvAzz/UQbPbHbmm8HfMKzpMCmihLhC7gMH0PSHH1GFBeNXCBM/zebzd0fx5bEv5Y5zUSOqXUi9+OKLvPnmm8TGxuLk5FS5vm/fvuzcufOahhOioTDbzLz++1TiZ05lwjIzBgv0oTlRLo0dHU2IOkfftClRy5Zj7NUTJyv022vl3d2zeXHbi5RZyxwdT9Qz1S6kjhw5wvDhwy9Y7+fnR05OzjUJJURDklWaxROrRhEx6wfu3FHxjdlr9CgiPl8kPVFCXCWNuzvhnyzA77kJWN6YgEajY03iGkatHcW54nOOjifqkWoXUp6enqSnp1+w/sCBA4SEhFyTUEI0FIeyDjH267u4578H6RKvoOi0BM+aSeCLL6LSyt1GQvwbKrUa3yee4K6eT7Cg/wK8Dd40ij3G01/ezZ6MPY6OJ+qJahdS999/P5MmTSIjIwOVSoXdbuf333/n+eef56GHHqqJjELUSytPreTRNaMZtyiTxpmAtyeNFy/G4/bbHR1NiHqnc2BnFuuf5NH1dl5cmMt/FzzKkhNLHB1L1APVLqTeeustGjVqREhICMXFxbRs2ZIbb7yRHj16MGXKlJrIKES9YlfsvLfvPab8PgUTVg7e3wFdi2ia/rgM5/btHR1PiHorpOfNOLWJwbUcJi+x8McnbzBj1wysdqujo4k67KrnkTpz5gz79+/HbrfTvn17oqKirnW2Ok+mPxD/q9RSykvbJnPw2EZy3FU83uZxxrcbj8quoNJoHB1PiHrPbjKR/vLLFP6yGoDl3VWk3NuL2X3fwc3JzcHpRG1Ro9MfTJs2jdLSUpo0acJdd93FPffcQ1RUFGVlZUybNu2qQwtR350vOc8jq0cRNT+WWZ/bmB3xHE+3fxq1Si1FlBDXiVqvJ3j2bHyfegqA4TsVOs3fxsMrH+Bs0VkHpxN1UbULqddff71y7qi/Ky0t5fXXX78moYSob07knuCRZfcybP4xbjqs4GpS0T1fZlsWwhFUKhV+T40naMYMFI2GnnEKrodO88CaBziUdcjR8UQdU+1CSlEUVCrVBesPHTqEt7f3NQklRH2yI20Hzy4dyVOfZtA2SQGDgbCPPpJB5UI4mOfwYYR/9inGp8ZQ2rUVueW5PPbrY/yW8pujo4k65Irvr/by8kKlUqFSqWjWrFmVYspms1FcXMzYsWNrJKQQddWKUytYuOo1Xl5ixq8Q1L4+NJr/CcYYeZSSELWBS7duuHTrxheWUp7f8jwHE7YyZ+mznB/yEvdF3+foeKIOuOLB5l9+WTG9/iOPPMJ7772Hh4dH5WtOTk40btyY7t2711jQukgGmzdciqIw/9B8ft7wEVO/tuFWDrrG4TT69DOcQmW+NSFqI3NxIbvvHoTxXC6z71TTZfCjTOg4AbWq2hdvRB1Xnc/vK+6RGjVqFAARERH06NEDnU7371IKUU9Z7Vbe/ONNliUsw8kTbGEBGIz+hH3yCVovL0fHE0JcgkZREeobSVliLi8ttfNh6We8WJrBWz3fQqeRzzxxcVc1/YHNZmPFihXExcWhUqlo2bIlt99+Oxq586gK6ZFqeEw2Ey9seYHfUn9DrVLzUpeXuCtwAConJ9TOzo6OJ4T4B3aTiXP/eYGi9euxA5/3V1MypBdz+szBWSf/hhuK6nx+V7uQOnXqFIMHDyYtLY3mzZujKArx8fGEhYWxevVqIiMj/1X4+kQKqYal2FzMM5uewffnXbiZ1XR/+b/cEn6Lo2MJIapJsdnIePNN8r+rmPn8u95qTg9py0e3fIynwdOx4cR1UaPzSD3zzDNERkaSmprK/v37OXDgACkpKURERPDMM89cdWgh6rLssmweWfcwjX7cxcMb7Ny11UqPTI9/3lAIUeuoNBoCX30V33FPAnDfFjsRvxxi1LpRZJRkODidqG2q/VTULVu28Mcff1SZ6sDHx4e3336bnj17XtNwQtQF54rPMebXx+izIonb9lR08Po+8zTGTp0cnEwIcbVUKhV+zzyD2s2dzE8XcLqdE2cKzjBy7UgW9ltIY4/Gjo4oaolq90jp9XqKioouWF9cXIyTk9M1CSVEXZFUkMToNQ8xeOn/L6ICXpqM37hxF51vTQhRt/g8PJpma9cx58HvaOzemIySDEavG018Xryjo4laotqF1G233cbjjz/Orl27UBQFRVH4448/GDt2LLfLBIOiAUnIS+CR1aO4e8k5bjqsgFpN0PTpeD/0kKOjCSGuIY27O0GuQXw56Etuywxh5JJMxvwymqPZRx0dTdQC1S6kPvjgAyIjI+nevTsGgwGDwUDPnj1p2rQp77//fk1kFKLWOZZ9jId/fZjgk9nccFwBrYaQOXPwvGO4o6MJIWqIh9WJUT/k0SNO4fHv8nly9aPsP7/f0bGEg13V9AcACQkJxMXFAdCyZUuaNm16TYPVB3LXXv10IPMA4zaMo9hSTBvfNszK7IN7eFPcburr6GhCiBpWsnMnqU8+iVJu4nBjFR+McGb2gA/oEdzD0dHENVSjd+39JSoqiiFDhjBkyJB/VUR9/PHHREREYDAY6NixI9u2bbts+48++ogWLVpgNBpp3rw5ixcvrvK6xWJh2rRpREZGYjAYaNu2LevWravSZsaMGXTu3Bk3Nzf8/f0ZNmwYJ0+erNJm9OjRlY/E+Wvp1q3bVZ+nqB/2ZuzlqTWPoxQW0TmwMwv6LyDk4TFSRAnRQLh0706jhQtROTvTJklh4rcl/GfNU2xP2+7oaMJBrqqQ+uyzz4iJiam8tBcTE8Onn35a7f0sXbqUCRMm8PLLL3PgwAF69erFoEGDSElJuWj7efPmMXnyZKZOncqxY8d4/fXXGT9+PD///HNlmylTpvDJJ5/w4Ycfcvz4ccaOHcvw4cM5cOBAZZstW7Ywfvx4/vjjD2JjY7FarfTv35+SkpIqxxs4cCDp6emVy5o1a6p9jqL+2JOxh2fXPckzS0qY+aORDzu9jYvOxdGxhBDXmXPnzjT67FPUrq60TIXnvyvjhbVPs/XsVkdHE46gVNOUKVMUFxcX5cUXX1RWrlyprFy5UnnxxRcVV1dX5eWXX67Wvrp06aKMHTu2yrro6GjlxRdfvGj77t27K88//3yVdc8++6zSs2fPyp+DgoKUuXPnVmkzdOhQ5YEHHrhkjszMTAVQtmzZUrlu1KhRytChQ6/0VC6qoKBAAZSCgoJ/tR/heLvO7VJ6LOqkfDeghXK8ebQS176DUnrokKNjCSEcqPTwEeVE587K8ebRyqtjWirtF7dXtqRu+ecNRa1Xnc/vavdIzZs3j4ULFzJjxgxuv/12br/9dmbMmMGCBQuYP3/+Fe/HbDazb98++vfvX2V9//792bFjx0W3MZlMGAyGKuuMRiO7d+/GYrFcts327Zfudi0oKACoMjcWwObNm/H396dZs2aMGTOGzMzMy56TyWSisLCwyiLqvj/S/2DCr+N4amkJbZMUVEYjjRYuwNimjaOjCSEcyNg6hkafL8J9xN0Uj+iHxW7h2U3Psjl1s6Ojieuo2oWUzWaj00UmGuzYsSNWq/WK95OdnY3NZiMgIKDK+oCAADIyLj5z7IABA/j000/Zt28fiqKwd+9ePv/8cywWC9nZ2ZVt5syZQ0JCAna7ndjYWFauXEl6evpF96koChMnTuSGG24gJiamcv2gQYP45ptv+O2333j33XfZs2cPN910EyaT6ZLnNGPGDDw8PCqXsLCwK/59iNppV/ounvt1PE99X0q7xP9fRDl37OjoaEKIWsAY04qQ16fxdt/Z9A/vj81mYVLsBLakbnF0NHGdVLuQevDBB5k3b94F6xcsWMADDzxQ7QD/O2mhoiiXnMjwlVdeYdCgQXTr1g2dTsfQoUMZPXo0QOUDk99//32ioqKIjo7GycmJp556iocffviSD1R+6qmnOHz4MN99912V9SNGjODWW28lJiaGIUOGsHbtWuLj41m9evUlz2Xy5MkUFBRULqmpqVf6axC10L7z+3hu/VM89X0Z7c8oqIwGwj6Zj7PMWC6E+B86tY63e07njS1B/GeJiRfXT2BH2sWvroj65V8NNn/sscd47LHHiImJYeHChajVaiZOnFi5XI6vry8ajeaC3qfMzMwLeqn+YjQa+fzzzyktLSUpKYmUlBQaN26Mm5sbvr6+APj5+bFixQpKSkpITk7mxIkTuLq6EhERccH+nn76aVatWsWmTZsIDQ29bN6goCDCw8NJSEi4ZBu9Xo+7u3uVRdRNh7IOMW7DOAz5ZTTL0aEyGAib/wkuXbo4OpoQopaynz1H88N5tEqBCT+Y+L/Yp9mdvtvRsUQNq/az9o4ePUqHDh0AOH36NFBRvPj5+XH06P+f5fWfHo/h5OREx44diY2NZfjw/z+JYWxsLEOHDr3stjqdrrLwWbJkCbfddhtqddWa0GAwEBISgsViYdmyZdxzzz2VrymKwtNPP83y5cvZvHnzRYus/5WTk0NqaipBQUH/2FbUbcdyjvFk7JOUWktpHd2N6O8moc7OkyJKCHFZ+ogIGn26kJRHHqVNUhnjfyjjWfV4PhrwCR0COjg6nqghVz0h57WwdOlSRo4cyfz58+nevTsLFixg4cKFHDt2jPDwcCZPnkxaWlrlXFHx8fHs3r2brl27kpeXx5w5c4iNjWXfvn00btwYgF27dpGWlka7du1IS0tj6tSpJCYmsn//fjw9PQEYN24c3377LStXrqR58+aVeTw8PDAajRQXFzN16lTuvPNOgoKCSEpK4qWXXiIlJYW4uDjc3Nyu6PxkQs6652TuSR5b9whuaQX4xXRk3i3zcNY5OzqWEKIOKdm1m9THH0cxmdgZreLTu9yYP2AhbfzkBpW6ojqf39XukbqWRowYQU5ODtOmTSM9PZ2YmBjWrFlDeHg4AOnp6VXmlLLZbLz77rucPHkSnU5H37592bFjR2URBVBeXs6UKVM4c+YMrq6uDB48mK+++qqyiAIqx3j16dOnSp5FixYxevRoNBoNR44cYfHixeTn5xMUFETfvn1ZunTpFRdRou5JKkji8fVjuPPnPG4+AoHv3SdFlBCi2ly6diF07lxSx42j+wkL5hVFPKl+gs8HfkFz7+b/vANRpzi0R6q+kx6puiO9OJ2H1o7kll/OcfsuBVQqgmfNwmPIbY6OJoSoo4o2buTsM89iw85LI9UURvjy5aAvCXcPd3Q08Q+uyyNihKgvcspyeDz2cbpvSK8oooCgN9+QIkoI8a+43XwzIbNn4f/Bu+hbtSCnPIfH1z9ORsnFp/gRdZMUUqJBKzQXMnbDWKI2n+G+LXYAAia/iOeddzo4mRCiPnAfPBj/mwcx75Z5hLuHk5OXxuOxj5NbnuvoaOIakUJKNFhl1jKe3vg0PtuO8+j6iiLKd9yTeI8a5eBkQoj6xtfoy/zmr/HeZ9Bky2nGxo6lyFzk6FjiGnDoYHMhHMVit/D8lufZn7mfCUla1IoZr/vvx/fpp6/5sWw2W+UjjIQQdYNOp7vkRM5Xy7BlLz75Nsasg/f0x3jW6Vnm3zIfJ43TNT2OuL6kkBINjqIoTNs5ja1nt2LQGOjw/nyCdqbgMWzoP85/Vt3jZGRkkJ+ff832KYS4fjw9PQkMDLxm7ws+Y8diOZdO/g8/8MwqOzMMu5isn8ysG2ehUV/bok1cP1JIiQbngwMfsOXAcrRuGmb3nk37oI5wx7V/dt5fRZS/vz/Ozs7XtEgTQtQcRVEoLS2tfFD9tZqIWaVSETj1NWzFRRStXcfzP9mZaviVmUYfJneZLO8RdZQUUqJB+SbuG376fSFvLbah6xBD1/t61MhxbDZbZRHl4+NTI8cQQtQco9EIVDy2zN/f/5pd5lNpNATPnElqfj7s/IPJ39t4xfAtfkY/xrQZc02OIa4vGWwuGox1SeuYu+VtXlpqw7cI/FKLsJeW1six/hoT5ewsE3oKUVf99e/3Wo9xVDs5Efrhh+hbtsCzFEZvsPPBgQ/4KeGna3occX1IISUahD0Ze3jtt8n850crjbJB6+9Po08XovnbjPc1Qbrqhai7avLfr8bVlUaffIL7bbdR8J+HAJi2cxrbzm6rsWOKmiGFlKj3zuSfYcLGZ3hyhYkWZ0Ht5kbYwoXogoMdHU0I0YBp/fwIeWc2426cxO2Rt2NTbPzf5onE5cQ5OpqoBimkRL2WXZbNuA1PcueaArrGK6icnAj7+CMMzZs5OlqdlZSUhEql4uDBg46OIkS9oFKpmNp9Ko8nNOKhn0sYv2Ec6cXpjo4lrpAMNhf1VqmllKc2PoWSkka/gxWPfgmeNRPnzp0dnEwIIaqyJ5/lluXJYFPIcctknGEciwctxs3JzdHRxD+QHilRL9nsNiZtncSxnGOUBnvh+tFsAqZMwX3gQEdHE0KIC+ibRBD4yisA3LPdTsjWeJ7b/BwWm0zmW9tJISXqpdl7Z7M5dRNOaic+vOlDIvrchveDDzg6Vp2wbt06brjhBjw9PfHx8eG2227j9OnTl91my5YtdOnSBb1eT1BQEC+++CJWq7Xy9T59+vDMM8/wwgsv4O3tTWBgIFOnTq2yjxMnTnDDDTdgMBho2bIlGzZsQKVSsWLFioseMysri8DAQKZPn165bteuXTg5ObF+/fqrPn8hHMXr3hH4jHkMgCfW2inZuZNpf0xDURQHJxOXI4WUqHeWnljKht+/ZsYXNmaHPUM7/3aOjgT8Ocmf2Xrdl+q+CZeUlDBx4kT27NnDxo0bUavVDB8+HLvdftH2aWlpDB48mM6dO3Po0CHmzZvHZ599xptvvlml3ZdffomLiwu7du1i1qxZTJs2jdjYWADsdjvDhg3D2dmZXbt2sWDBAl5++eXL5vTz8+Pzzz9n6tSp7N27l+LiYh588EHGjRtH//79q3XOQtQWfs89h/vgwWjt8PxPdvbtWM6iY4scHUtchoyREvXKjnM7+GDLdKb9YCM4F1wWb4E+teMhxGUWGy1f/fW6H/f4tAE4O135P/U777yzys+fffYZ/v7+HD9+nJiYmAvaf/zxx4SFhTF37lxUKhXR0dGcO3eOSZMm8eqrr6JWV3xfa9OmDa+99hoAUVFRzJ07l40bN9KvXz/Wr1/P6dOn2bx5M4GBgQC89dZb9OvX77JZBw8ezJgxY3jggQfo3LkzBoOBt99++4rPVYjaRqVWEzRjOpbM87B3Hy/+YOMF9/8S7h7OzY1udnQ8cRHSIyXqjTP5Z5i08f+Y8JOF4FzQBgURPHOmo2PVOadPn+b++++nSZMmuLu7ExERAUBKSspF28fFxdG9e/cqc+707NmT4uJizp49W7muTZs2VbYLCgqqfATHyZMnCQsLqyyiALp06XJFed955x2sVivff/8933zzDQaD4cpOVIhaSq3XEzZ3Lk4REWQMbEeJXmHytskyLUItJT1Sol7IK89j/IZxjPilgJhkBZWzM2Hz56H183N0tEpGnYbj0wY45LjVMWTIEMLCwli4cCHBwcHY7XZiYmIwm80Xba8oygUTF/51OfHv63U6XZU2KpWq8nLhxfZxpc6cOcO5c+ew2+0kJydfULAJURdpPD2JWP4T4U5aNm4cz45zO3jqt6f47tbv8Hf2d3Q88TdSSIk6z2Kz8Nzm52i/MZWbDymgVhP63zkYmjd3dLQqVCpVtS6xOUJOTg5xcXF88skn9OrVC4Dt27dfdpuWLVuybNmyKsXQjh07cHNzIyQk5IqOGx0dTUpKCufPnycgIACAPXv2/ON2ZrOZBx54gBEjRhAdHc2jjz7KkSNHKvchRF2mNhhQA7N7z+aR5ffjuyeRZ4zPsGjgIoxao6PjiT/JpT1RpymKwvTd07Ht2MMDmyp6NwJefBHX3r0dnKxu8vLywsfHhwULFnDq1Cl+++03Jk6ceNltxo0bR2pqKk8//TQnTpxg5cqVvPbaa0ycOLFyfNQ/6devH5GRkYwaNYrDhw/z+++/Vw42v1xP1csvv0xBQQEffPABL7zwAi1atODRRx+98hMWog5wtel46yuFZ1fZ8dpyhNd2vCZ38tUiUkiJOu37k9/zY/yPnApWY23XHK/778Nr5IOOjlVnqdVqlixZwr59+4iJieG5555j9uzZl90mJCSENWvWsHv3btq2bcvYsWN59NFHmTJlyhUfV6PRsGLFCoqLi+ncuTOPPfZY5faXGvO0efNm3nvvPb766ivc3d1Rq9V89dVXbN++nXnz5l35SQtRy6mNRrz63gTAk2vsnNq2Ru7kq0VUipS1NaawsBAPDw8KCgpwd3d3dJx6Z0/GHh5f/zhWxcqEDhN4JPohUKlQaR1/+ay8vJzExEQiIiJk8PNV+v3337nhhhs4deoUkZGRjo4jGqDa9O9YsdtJe/ZZimI3kO8CL43W8vrwj7gx9EaH5qqvqvP5LT1Sok5KK07jhQ0T6XDCzKCIQTwS8wgqna5WFFHi6ixfvpzY2FiSkpLYsGEDjz/+OD179pQiSggqpkUIfvtt9M2b41kCzy+z8srGFzhTcMbR0Ro8KaREnVNqKeWZjU9z5885PP+TnQm7fK/6ji9RexQVFTFu3Diio6MZPXo0nTt3ZuXKlY6OJUStoXZxIfSjj1B7edEkA0auKOTZjc9QaC50dLQGTQopUacoisKrO14lMvZk5R167t16ODqWuAYeeughEhISKC8v5+zZs3zxxRf4+Pg4OpYQtYpTaAhhH34AWi0xZ1UUpiUxaesk7MrFnzwgap4UUqJO+fLYl5zbtJZRGyveNPz/8x9ce93g4FRCCHH9OHfqRMh/5+D+1XxKvAxsT9vOvENyg4WjSCEl6oxd6bv4duMcnlthR62Ax/DheI+uHY9/EUKI68m9Xz9aRvfite4Vj1365OA8tqRucXCqhkkKKVEnZJRk8HLs80z80YJrORjatCZw6msyNkoI0aANiRzC8wXdeXuRjWmxk0gpvPijnETNkUJK1Homm4nnNj1HoxO5hGWDxseH0A8/RK3XOzqaEEI4lL28nB7LTxFxHh5ZVsiEjc9Qail1dKwGRQopUevN2DWDozlHiW/jhcu7bxD6wfvo5BEgQgiB2mAgdO6HoHeiw2mFDj/HM3XHVJn5/DqSQkrUassTlrMsYRkqVMzqNYvGg+/CuWNHR8eq1xRF4fHHH8fb2xuVSsXBgwfp06cPEyZMcHQ0IcRFGFu1IviNNwC4c4dCzq+r+SbuGwenajgcXkh9/PHHlbPGduzYkW3btl22/UcffUSLFi0wGo00b96cxYsXV3ndYrEwbdo0IiMjMRgMtG3blnXr1lX7uIqiMHXqVIKDgzEajfTp04djx479+xMWV+xk7kkWrHuDV7618X/BD9IjRKY5uB7WrVvHF198wS+//EJ6ejoxMTH89NNPvPHnGzVA48aNee+9965q/0eOHKF3794YjUZCQkKYNm3aP357bty4MSqVqsry4osvVmnzv6+rVCrmz59f+frmzZsZOnQoQUFBuLi40K5dO7755p8/bFQqFStWrLhg/ejRoxk2bNgVnbMQNc3j9tvxHvUQAON/sbNk7WwOZR1ycKqGwaGF1NKlS5kwYQIvv/wyBw4coFevXgwaNIiUlIsPlps3bx6TJ09m6tSpHDt2jNdff53x48fz888/V7aZMmUKn3zyCR9++CHHjx9n7NixDB8+nAMHDlTruLNmzWLOnDn8v/buPK6m/P8D+Ot2u9Vt37QplVARyh6NwhBjZwzGUPZdxJBtaho7owyTsYYZMzFT9rVQllCSNUUpkdKEqbTX/fz+8Ot8Xd2Wm+pW3s/H4z64n/P5nM/7nNM9930/Z9u2bRsiIyNhYGCAvn37Ijs7u/ZWCOG8K3yHJSELMPefPLR9xtDrcLysQ/psJCQkwNDQEN27d4eBgQHk5eWhra0NNTW1T553VlYW+vbtCyMjI0RGRmLr1q3YtGkTNm/eXGlbb29vpKamci9Jz/Lz9/cXq+Pi8r+rOsPDw9GuXTsEBgbi3r17mDRpEiZMmCC2/yCkIdP7/nsod+0KYSHgFlSI5efd8V/+f7IOq/FjMtSlSxc2Y8YMsTIrKyvm4eEhsb69vT1btGiRWJmbmxvr0aMH997Q0JBt27ZNrM7QoUPZuHHjqtyvSCRiBgYGbN26ddz0/Px8pqGhwX777bcqL19mZiYDwDIzM6vchrxf/wsuzme/jrJmMZZWLLZbN1b48qWsw5JKXl4ei4mJYXl5ebIORSouLi4MAPcyNTVljDHm6OjI3NzcuP9/WEea3Yifnx/T0NBg+fn5XNnatWuZkZERE4lE5bYzNTVlPj4+Fc4bADty5EiVY2GMsa+++opNnDixWvN1cXFhQ4cOZYwxlpiYWGadAGCOjo5SxUPql4b4OS7KyGBxPXsyvyldWbu9bdj04OmsRFQi67AaHGm+v2U2IlVYWIioqCj069dPrLxfv34IDw+X2KagoKDMgyOFQiEiIiJQVFRUYZ2rV69Wud/ExESkpaWJ1VFUVISjo2O5sZX2nZWVJfYi0jv46CBEx8+j1z0GJseD8ebNEBgayjqsz8KWLVvg7e0NY2NjpKamIjIyskydoKAgGBsbi40QleLxeNi3b1+5879+/TocHR2h+MEVl87Oznj58iWSkpIqjG39+vXQ0dGBra0tVq9ejcLCwjJ15syZA11dXXTu3Bm//fYbRKKK7/acmZkJbW3tCutUhYmJidhIWHR0NHR0dNCzJz1QltQteR0dWJw4gd7r90MgUMK1lGvYdW+XrMNq1GT2hNeMjAyUlJRA/6Orr/T19ZGWliaxjbOzM3bv3o1hw4ahQ4cOiIqKwt69e1FUVISMjAwYGhrC2dkZmzdvRs+ePWFhYYELFy7g2LFjKCkpqXK/pf9KqvPs2bNyl2nt2rX48ccfpVsRRMyd9DsIOrERXuf//87lbvOhYm8v46hqWGFO+dN4fECgVMW6coBAWHFdBRWpQtPQ0ICamhr4fD4MDAwk1tHW1gafz4eamlqZOpaWltDQ0Ch3/mlpaTAzMxMrK/2cpaWlwdzcXGI7Nzc3dOjQAVpaWoiIiMDSpUuRmJiI3bt3c3V++ukn9OnTB0KhEBcuXMDChQuRkZEh8RAgAPzzzz+IjIzEjh07yo231NixY8Hn88XKCgoKMHDgQAAQW1/5+fkYNmwY7O3t4eXlVem8CalpfHV1WEIdK7qtgNflFTh64Ve012uPbobdZB1aoySzRKrUxzdUZIyVe5PFlStXIi0tDd26dQNjDPr6+nB1dcWGDRu4ndyWLVswdepUWFlZgcfjwcLCAhMnToS/v7/U/UoTGwAsXboU7u7u3PusrCyYmJiUW5+IyyzIhOdZd7gHFUJQAqj27gWdqVNkHVbNW2NU/rSW/YBxf//v/cYWQHn3hDF1ACae+t9737ZA7mvxOl6Z1Y+zGmJjYyutI+lzJan8QwsWLOD+365dO2hpaeHrr7/mRqkAiCVMtra2AN6fVyUpkQoNDYWrqyt27dqFNm3aVBqzj48PvvzyS7GyJUuWcD/QPjR58mRkZ2cjODgYcnIyv56HfMYGaTpAO1ATgrTXWKO2CHu/Owpdoa6sw2p0ZPYp19XVBZ/PLzP6lJ6eXmYkqJRQKMTevXuRm5uLpKQkJCcnw8zMDGpqatDVff/H0aRJExw9ehQ5OTl49uwZYmNjoaqqyv3SrUq/pb8spYkNeH/4T11dXexFqoYxhpXXVuK/zHQUqCpC3sQYRuvWgUdfRI2KgYGBxM8VUHYEuCLdur3/ZR0fX/5FCN26dUNWVhZevXolVh4WFobBgwdj8+bNmDBhQpXjbtGihdhL0sn3q1atwtmzZ3H8+PEaOTmfkE8hp6wMIzktaOYArodeY2noEpSIyib/5NPIbERKQUEBHTt2RHBwMIYPH86VBwcHY+jQoRW2FQgEMDY2BgAEBARg0KBBZX75KSkpoWnTpigqKkJgYCC++eabKvdrbm4OAwMDBAcHw87ODsD7c6vCwsKwfv36T194UsafsX/i0vNLEGgqwPj3vTAV6YLfWBPRZS/Ln8YTP3yE7yu4WpH3UZI5/371Y5KSgoKCxNGYytjb22PZsmUoLCyEgoICAOD8+fMwMjIqc8ivIqVX4RpWcO5cdHQ0lJSUoKmpyZWFhoZi0KBBWL9+PaZNmyZ1/BUJDAyEt7c3zpw5AwsLixqdNyHVIaesjGZbtyJhxAhYv8hD3KHr2NN0D6a1q9m//c9erZ72XomAgAAmEAjYnj17WExMDJs/fz5TUVFhSUlJjDHGPDw82Pjx47n6cXFx7Pfff2ePHz9mN2/eZKNHj2ba2tosMTGRq3Pjxg0WGBjIEhIS2OXLl1nv3r2Zubk5e/v2bZX7ZYyxdevWMQ0NDRYUFMTu37/Pxo4dywwNDVlWVlaVl4+u2quahxkPWfddtsxmnw37I+YPWYdTIxri1T6lfHx8uKv1Sn141R5jjPXt25cNGTKEvXjxgv37779cuaWlJQsKCip33v/99x/T19dnY8eOZffv32dBQUFMXV2dbdq0iatz8+ZNZmlpyV68eMEYYyw8PJxt3ryZRUdHs6dPn7JDhw4xIyMjNmTIEK7N8ePH2c6dO9n9+/dZfHw827VrF1NXV2fz5s3j6ly6dIkpKyuzpUuXstTUVO71+vXrCtcHqnDV3v3795mysjJbsWKFVPMm9VtD/hx/KPPMWRZjacViLK2Y6wobFpUWJeuQ6j1pvr9lmkgxxtivv/7KTE1NmYKCAuvQoQMLCwvjprm4uIhdPhwTE8NsbW2ZUChk6urqbOjQoSw2NlZsfqGhocza2popKioyHR0dNn78eJaSkiJVv4y9vwTf09OTGRgYMEVFRdazZ092//59qZaNEqnKvSt8x0bv68eudrRiv7sNYCWFhbIOqUY05B1wVRKp69evs3bt2jFFRUWx2x8AYP7+/hXO/969e+yLL75gioqKzMDAgHl5eYnd+uDSpUsMAPcDKSoqinXt2pVpaGgwJSUlZmlpyTw9PVlOTg7X5syZM8zW1papqqoyZWVlZmNjw3x9fVlRURFX5+NbO6CKtyioSiLl7+9Ptz9ohBry5/hjqatWsRhLKxbR3op9vdORvc17K+uQ6jVpvr95jNEDeWpLVlYWNDQ0kJmZSedLScAYg0fYYnRacwo2yQzyLSxg8fffkBMKK29cz+Xn5yMxMZG7ez4hpOFpTJ9jVliIp+O+ReH9h7hnxsPV7/vgl96/VHiRx+dMmu9vOpOXyMzR+KNQO/A+iWJCJTT7ZWujSKIIIaS+4SkooJnvFqCDDQ70V0Toi1D8GfunrMNqFCiRIjLxLOsZTvz1E4aHvx8QbfrTKig2l3wPIUIIIZ9O0LQprP/8G+OcvwcAbL61GXFv4mQcVcNHiRSpc0UlRfjppDumHc2DHACN0d9AY9BAWYdFCCGfhbFWY+Fo7AiLpAKsPeqO/OJ8WYfUoFEiRercr7e3od/+R9DIBfgtm8Ng2TJZh0QIIZ8NHo+HpRld4flnCYb/8RSbb2yUdUgNGiVSpE7dTL2JvQ/34rINDyWaajDdshVyHzx3jRBCSO1r0qM3oKKMVi8Bud1/IfR5qKxDarAokSJ15r/8/7DsyjIwHqA7chRaXwqDYvPmsg6LEEI+OwrGTWGyZi0AYOgNhkP7PPBv7r8yjqphokSK1AnGGNaGLEPu61cwUzfD4s6L6Qo9QgiRIfV+/aA+ZjQAwOVIJtacWgQRE8k4qoaHEilSJ47FH0WbHaHYuLcEG7QnQ1mgLOuQCCHks2e4dCl4Lc2hkQvY747EXw8PyjqkBocSKVLrXmS/QISfNzo/YdDK48Ncz1LWIRFCCAEgp6gI8y2/okRJgLbPGK789TMS/kuQdVgNCiVSpFaViErg8/cCjD7//vJa/e+/h5K1tYyjIp8iKSkJPB4Pd+7ckXUohJAaoNjcHMZePyFkbCtca1mMpVeWoqikSNZhNRiUSJFa9Xv0bvTzfwCFEoDfvTN0JkyQdUiEEEI+ojlsKEZ/vwsaSpp49OYRtt/dLuuQGgxKpEitiXsTh/98tqLZv0Cxpiqab/Sh5zoRQkg9paeshx+6/QCVPIbk/TtxJ/2OrENqECiRIrWioKQAe3fNgfOtEgCA2cbNkNfRkXFUpCrOnj0LBwcHaGpqQkdHB4MGDUJCQsXnTISFhaFLly5QVFSEoaEhPDw8UFxczE13cnLCvHnzsHjxYmhra8PAwABeXl5i84iNjYWDgwOUlJTQunVrhISEgMfj4ejRoxL7LD3E+PHLycnpE9cAIZ+vLw164pc/FDH5XAn+3jYXuUW5sg6p3qNEitSKbdHbEKaRiqg2ilAePwZqX3wh65BIFeXk5MDd3R2RkZG4cOEC5OTkMHz4cIhEki+LTklJwVdffYXOnTvj7t272L59O/bs2YNVq1aJ1du/fz9UVFRw8+ZNbNiwAd7e3ggODgYAiEQiDBs2DMrKyrh58yZ27tyJ5cuXVxiniYkJUlNTuVd0dDR0dHTQs2fPmlkRhHyG5JSUYPT1twCAEccy4HfGU8YR1X/ysg6AND7R6dHY/3A/mJAHYx8fNGtKX2zA+3tp5RXn1Xm/QnmhVIdUR44cKfZ+z5490NPTQ0xMDGxsbMrU9/Pzg4mJCbZt2wYejwcrKyu8fPkSS5YswQ8//AA5ufe/19q1awdPz/c75ZYtW2Lbtm24cOEC+vbti/PnzyMhIQGhoaEwMDAAAKxevRp9+/YtN04+n8/Vzc/Px7Bhw2Bvb19mpIsQIp2mc9zw8GoYlB88gcUvJ3HNdjB6NKP9eHkokSI1Kq84D1uCFoMpiTCkxVA4Nesl65DqjbziPHT9s2ud93vz25tS3bcrISEBK1euxI0bN5CRkcGNRCUnJ0tMpB49egR7e3uxZK1Hjx549+4dXrx4gWbNmgF4n0h9yNDQEOnp6QCAuLg4mJiYcIkRAHTp0qXKMU+ePBnZ2dkIDg7mEjdCSPXw5OXRync7YgcNgNWLIpxYvwhtfUKgrqAu69DqJdrjkBq198SPWLDtBZYdF+D7tm6yDodUw+DBg/H69Wvs2rULN2/exM2bNwEAhYWFEuszxsqMeDHGAECsXCAQiNXh8XhckiZpHlW1atUqnD17FsePH4eamlq15kEIEadg3BQGK1cAAAZcysbuw0tlHFH9RSNSpMZEPr8Oc99jUCgGWqu0gIZ6E1mHVK8I5YW4+e1NmfRbVa9fv8ajR4+wY8cOfPH/57VdvXq1wjatW7dGYGCgWDIUHh4ONTU1NG3atEr9WllZITk5Ga9evYK+vj4AIDIystJ2gYGB8Pb2xpkzZ2BhYVGlvgghVdNkxCikh5yG/KWbMP79EsIcw+Bo4ijrsOodSqRIjcgpysHNn+ajzysgX1URbTf70a0OPsLj8er9o3G0tLSgo6ODnTt3wtDQEMnJyfDw8KiwzaxZs+Dr64u5c+dizpw5iIuLg6enJ9zd3at8mK1v376wsLCAi4sLNmzYgOzsbO5k8/L+jh48eIAJEyZgyZIlaNOmDdLS0gAACgoK0NbWlmKpCSGS8Hg8WK/1RfDyidjc9gmE171wpMkRaCppyjq0eoUO7ZEasf+PJeh1OQsAYLxqNeSb0GhUQyQnJ4eAgABERUXBxsYGCxYswMaNGyts07RpU5w+fRoRERFo3749ZsyYgcmTJ2PFihVV7pfP5+Po0aN49+4dOnfujClTpnDtlZSUJLa5desWcnNzsWrVKhgaGnKvESNGVH2BCSEV4mtqotcvAdA3sEBGXgbWRKyRdUj1Do+VnsxAalxWVhY0NDSQmZkJdfXGe5LejScXUThuNppkAYVf9UT7zTtkHZLM5efnIzExEebm5uUmAqRi165dg4ODA+Lj4+mwHZEJ+hz/z4OMB/ju1Dh0f1CMUeNXo1e7YbIOqVZJ8/1Nh/bIJ8ktykWs52J0zQLeNVFFB+/Nsg6JNFBHjhyBqqoqWrZsifj4eLi5uaFHjx6URBFSD9jo2mD1g9ZofuIOohO88N+fTnSI7//RoT3ySX6J/gVnrfKQocWHxc++4KuqyDok0kBlZ2dj1qxZsLKygqurKzp37oxjx47JOixCyP/7wsUDJXKAXUwB/tk6T9bh1BuUSJFqi06Pxp+P/sRDUznwA/yg3aWHrEMiDdiECRPw5MkT5Ofn48WLF9i3bx906LFChNQb6jbtwSaOAgDY/hGJ8OjjMo6ofqBEilRLXlEeNp5ZBgaG4S2Go7sp3fWWEEIaO5sFP+Btc12oFACvVvyA7PwsWYckc5RIkWo5/qs7vt+UhKExKljUeZGswyGEEFIHePLyaOO7A4UCHqwSCnBi02xZhyRzlEgRqT18GIYW/qFQKgKGaDvSYwMIIeQzotGqNUQzxgEArA/dQmTcRRlHJFuUSBGpFJYU4qnHQigXAOnmWui8cLWsQyKEEFLHbGcuRaKDOdaNkoPXw5+RX5wv65BkhhIpIpVzWxahxZMcFMoD1r5+4MnTHTQIIeRzw5OTwxd+h5BhZYDk7GTsuPf53j+QEilSZUlxkWi6LxgAkOk6CHqWtrINiBBCiMyoKahhWbdlAIDTV/Yi9l6obAOSEUqkSJWIRCLEfj8XwkIgpbk6HOavlXVIpJYwxjBt2jRoa2uDx+Phzp07cHJywvz582UdWqNz8eJFWFlZQSQSyTqUWrNz506YmJhATk4Ovr6+8PLygq2trVTzMDMzg6+vb43GdfLkSdjZ2TXqdV8X+jTrg0mZ7bBudyGeL1qI4qJCWYdU95iM/frrr8zMzIwpKiqyDh06sMuXL1dYf9u2bczKyoopKSmxVq1asf3795ep4+Pjw1q1asWUlJSYsbExmz9/PsvLy+Omm5qaMgBlXrNmzeLquLi4lJnetWtXqZYtMzOTAWCZmZlStauPgh79zVZNtGZRba1Y0sPrsg6n3svLy2MxMTFif3cNxenTp5lAIGDXrl1jqamprKioiL1+/ZplZWVxdUxNTZmPj4/U887Ly2MuLi7MxsaG8fl8NnToUKna5+fns/bt2zMALDo6miv39/eX+JkGwF69esXVE4lEbOPGjaxly5ZMQUGBGRsbs9WrV1fYJwB25MiRMuUuLi5Sx/+xjh07sgMHDnzSPD526dIlBoC9ffu2RudbHZmZmUwgELCtW7eyly9fspycHJadnc0yMjKkmk96ejrLycmp8fjs7OzY77//Xu70hvw5rksvn95nt9pZsRhLK3Z+1azKGzQA0nx/y/QEl0OHDmH+/Pnw8/NDjx49sGPHDgwYMAAxMTFo1qxZmfrbt2/H0qVLsWvXLnTu3BkRERGYOnUqtLS0MHjwYADAwYMH4eHhgb1796J79+54/PgxXF1dAQA+Pj4AgMjISJSUlHDzffDgAfr27YtRo0aJ9de/f3/4+/tz7xUUFGp6FTQIGXkZ2BTtgyxHPkymzsSE1t1kHRKpRQkJCTA0NET37t25Mm1t7RqZd0lJCYRCIebNm4fAwECp2y9evBhGRka4e/euWPno0aPRv39/sTJXV1fk5+dDT0+PK3Nzc8P58+exadMmtG3bFpmZmcjIyKjewnyi8PBwPHnypMx+pzFJTk5GUVERBg4cCENDQ65cVVVVqvk0qaWHoE+cOBFbt27Fd999Vyvz/1wYmtvgwbShUN56DHp/XsTzIddh0tZe1mHVnTpI7MrVpUsXNmPGDLEyKysr5uHhIbG+vb09W7RokViZm5sb69GjB/d+9uzZrHfv3mJ13N3dmYODQ7lxuLm5MQsLCyYSibiymvi12RhGpEQlJez7C+7MZp8NG3V8FCsqKZJ1SA1CQ/0l+/FIrKmpKWOMMUdHR+bm5sb9Hx+N+lS3L2k+Y6dPn2ZWVlbs4cOHZUakPpaens4EAoHYaE9MTAyTl5dnsbGxUsWJKoxIJSYmShwNc3R0LHe+c+fOZV9//bVYmaenJ2vfvj07cOAAMzU1Zerq6mz06NFio4H5+fls7ty5rEmTJkxRUZH16NGDRURElBuHi4tLuTFcvXqV9ezZkwmFQqapqcn69evH3rx5U2k/jP1v5CskJIR17NiRCYVCZm9vz61fSaOEiYmJ3DJ+vB43btzIDAwMmLa2Nps1axYrLCzk6nw8AgqA7dq1iw0bNowJhULWokULduzYMbFlO3bsGGvRogVTUlJiTk5ObN++fWVG6pKSkhgAlpCQIHH9NNTPsSwUlxSzE8O6shhLK3axX2dW8sH2a4ik+f6W2TlShYWFiIqKQr9+/cTK+/Xrh/DwcIltCgoKyjyBWygUIiIiAkVFRQAABwcHREVFISIiAgDw9OlTnD59GgMHDiw3jj/++AOTJk0Cj8cTmxYaGgo9PT20atUKU6dORXp6eoXLVFBQgKysLLFXQ3dr51p84X0apv8Cnt09IS9HV+l9KlFubvmvgoKq183Pr7SutLZs2QJvb28YGxsjNTUVkZGRZeoEBQXB2NgY3t7eSE1NRWpqKjeNx+Nh3759UvdbmVevXmHq1Kn4/fffoaysXGn9AwcOQFlZGV9//TVXduLECTRv3hwnT56Eubk5zMzMMGXKFLx58+aT4zMxMeHWRWpqKqKjo6Gjo4OePcu/4//ly5fRqVOnMuUJCQk4evQoTp48iZMnTyIsLAzr1q3jpi9evBiBgYHYv38/bt++jRYtWsDZ2Rlv3ryBiYkJN9IXFxeH1NRUbNmyRWL/d+7cQZ8+fdCmTRtcv34dV69exeDBg7nR+or6+dDy5cvx888/49atW5CXl8ekSZMAvB8lDAkJAQBEREQgNTUVJiYmEmO5dOkSEhIScOnSJezfvx/79u2r9O/oxx9/xDfffIN79+7hq6++wrhx47jYkpKS8PXXX2PYsGG4c+cOpk+fjuXLl5eZh6mpKfT09HDlypUK+yKV48vxYb3hF+QoAgbPsnHDt+z6brTqILGTKCUlhQFg165dEytfvXo1a9WqlcQ2S5cuZQYGBuzWrVtMJBKxyMhIpqenxwCwly9fcvV++eUXJhAImLy8PAPAZs6cWW4chw4dYnw+n6WkpIiVBwQEsJMnT7L79++z48ePs/bt27M2bdqw/Pz8cufl6ekp8VdpQx2RykpOYLfbWbMYSyt2+KcJsg6nQanol2yMpVW5r2fTponVfWRrV27dpO/Gi9WN62Zfpk51+Pj4cCNRpT4ckWKs/HOkLC0tWVBQUJX6qeqIlEgkYv3792c//fQTY+x/oy4VjUi1bt26zOd++vTpTFFRkXXt2pVdvnyZXbp0idna2rJevXpV2D8ApqSkxFRUVMRe8vLyEuPPy8tjXbt2ZYMGDWIlJSXlzldDQ6PM+VGenp5MWVlZbATq+++/587PfPfuHRMIBOzgwYPc9MLCQmZkZMQ2bNjAGKv6OVJjx44VG83/kDT9hISEcHVOnTrFAHB/99HR0dxI1IfL+PGIlKmpKSsuLubKRo0axUaPHs29lzQitWLFCrF4eTweO3PmDGOMsSVLljAbGxuxZVq+fLnE9WJnZ8e8vLwkrgcakZJekM8cFmNpxe62sWKvHz+QdTjV1mDOkQJQZhSIMVamrNTKlSuRlpaGbt26gTEGfX19uLq6YsOGDeDz+QDejyKtXr0afn5+6Nq1K+Lj4+Hm5gZDQ0OsXLmyzDz37NmDAQMGwMjISKx89OjR3P9tbGzQqVMnmJqa4tSpUxgxYoTE+JYuXQp3d3fufVZWVrm/wOo7xhjuLJoB3QKGp80U8NWibbIOiTQAsbGxNT7PrVu3IisrC0uXLq1S/evXryMmJgYHDhwQKxeJRCgoKMCBAwfQqlUrAO8//x07dkRcXBwsLS3LnaePjw++/PJLsbIlS5aInWtZavLkycjOzkZwcDDk5Mof9M/Lyyszwg68v0JNTU2Ne29oaMiNhickJKCoqAg9evzvAeECgQBdunTBo0ePyu1Lkjt37pR7fpY0/bRr104sVgBIT0+XeJ5redq0acPtw0vnc//+/QrbfNiviooK1NTUuPUUFxeHzp07i9Xv0qWLxPkIhULkVmP0lkg2YM5GnLrUA4908iB4dQRLWraRdUi1TmaJlK6uLvh8PtLS0sTK09PToa+vL7GNUCjE3r17sWPHDrx69QqGhobYuXMn1NTUoKurC+B9sjV+/HhMmTIFANC2bVvk5ORg2rRpWL58udiO7dmzZwgJCUFQUFCl8RoaGsLU1BRPnjwpt46ioiIUFRUrnVdD8OSvXdC9+xyFfED1h8VQUVKrvBGpEsvbUeVP/ODLBABaXbtaft2PvqRbXAj5lLDqrYsXL+LGjRtlPludOnXCuHHjsH//frHy3bt3w9bWFh07dhQrNzQ0hLy8PJdEAYC1tTWA9ydFV5RIGRgYoEWLFmJlampq+O+//8TKVq1ahbNnzyIiIkIsGZJEV1cXb9++LVMuEAjE3vN4PO4SfcYYV/ahin6AlkcoFJY7TZp+Poy3dJq0txSoaJmr00ZSnKXL9LE3b97U2snsnyMleSU09dsKr5Dp4CUcxiCr4Wij27iTKZmdI6WgoICOHTsiODhYrDw4OFjsaiFJBAIBjI2NwefzERAQgEGDBnEJUm5ubplfgXw+H4yxMh8kf39/6OnplXv+1Idev36N58+fi1150lgVvUpHzsZfAABRg1qgZ49vZRxR4yKnrFz+66NkocK6H41mSKpTWxQUFCSOxtSGX375BXfv3sWdO3dw584dnD59GsD7q35XrxZ/RNG7d+9w+PBhTJ48ucx8evTogeLiYiQkJHBljx8/BvD+XJlPFRgYCG9vbxw+fBgWFhaV1rezs0NMTIxUfbRo0QIKCgq4evV/CXZRURFu3brFJYWlVxdXtn3atWuHCxcuVLuf+szKyqrM+X23bt0qUy8/Px8JCQmws7Orq9A+C92adsfA5gPBwPDTVS8Uvnkt65BqlUxvyOnu7o7du3dj7969ePToERYsWIDk5GTMmDEDwPtDZRMmTODqP378GH/88QeePHmCiIgIjBkzBg8ePMCaNWu4OoMHD8b27dsREBCAxMREBAcHY+XKlRgyZIjY0LFIJIK/vz9cXFwg/9FjTt69e4dFixbh+vXrSEpKQmhoKAYPHgxdXV0MHz68lteKbDHGEO0xE0p5JUg0lIPzUj+pf+mSxs/MzAyXL19GSkqK2O0DrKyscOTIkQrbxsTE4M6dO3jz5g0yMzO5BKlUREQErKyskJKSAgBo1qwZbGxsuFfpiJKFhQWMjY3F5n3o0CEUFxdj3LhxZfr98ssv0aFDB0yaNAnR0dGIiorC9OnT0bdvX7FRqup48OABJkyYgCVLlqBNmzZIS0tDWlpahSeyOzs7iyUqVaGiooKZM2fi+++/x9mzZxETE4OpU6ciNzeXSx5NTU3B4/Fw8uRJ/Pvvv3j37p3EeS1duhSRkZGYNWsW7t27h9jYWGzfvh0ZGRlV6qc+mz59OmJjY7FkyRI8fvwYhw8f5k5e/3B/VjrSaW//GV2qX0cWdVqEVpnK+M73AaJnji93RLAxkGkiNXr0aPj6+sLb2xu2tra4fPkyTp8+zf06TE1NRXJyMle/pKQEP//8M9q3b4++ffsiPz8f4eHhMDMz4+qsWLECCxcuxIoVK9C6dWtMnjwZzs7O2LFD/DlAISEhSE5O5q4w+RCfz8f9+/cxdOhQtGrVCi4uLmjVqhWuX79e6XB9Q/fmTQoykh+jWA7IXjgBTTUb5jlepHZ5e3sjKSkJFhYWYodF4uLikJmZWWHbr776CnZ2djhx4gRCQ0NhZ2cnNiKQm5uLuLg47kpcaezZswcjRoyAlpZWmWlycnI4ceIEdHV10bNnTwwcOBDW1tYICAiQup+P3bp1C7m5uVi1ahUMDQ25V3nnUwLAd999h5iYGMTFxUnV17p16zBy5EiMHz8eHTp0QHx8PM6dO8ctc9OmTfHjjz/Cw8MD+vr6mDNnjsT5tGrVCufPn8fdu3fRpUsX2Nvb49ixY9wPy8r6qc/Mzc3xzz//ICgoCO3atcP27du5q/Y+PET8119/Ydy4cVW6EpRIR1eoi/FtXWGSAajfTcTzv/bJOqRaw2ONOU2UsaysLGhoaCAzMxPq6uqyDqdKfrj2A44+DkLvbGNsnHMCAjlB5Y1IGfn5+UhMTIS5ubnEE4oJAd7fYiAzM7PMDz1S81avXo3ffvsNz58/BwD8+++/sLKywq1bt2Bubi6xDX2OP42IifDr4n748kQKCpTl0ebsBQg+uEFufSbN9zc9a49w7qTfwZH4I2ByPLiOWUdJFCG1bPny5TA1Na2z880+J35+foiMjMTTp0/x+++/Y+PGjXBxceGmJyYmws/Pr9wkinw6OZ4c+n7/C54a8KCYW4yYFe6VN2qAKJEiAIDs8HDc9JwLQRHD8BbDYatnK+uQCGn0NDQ0sGzZMrHzN0nNePLkCYYOHYrWrVvjp59+wsKFC+Hl5cVN79Kli9htbkjtsNJrjeTZg1DCAxQuR+Ht+bOyDqnG0aG9WtRQDu2J8vJwb0AfKKa9xfGeSpj6ywVoK9XMs9U+V3RIgJCGjz7HNSO7MBu7Zzmh/9VcFGipou35i+DX8/ON6dAekUrylk1QTHuL12pA8xnzKYkihBBSY9QU1NDSfTlStYDnyrlIS4uXdUg1ihKpz1zew4fIOfAXAODcSFOMsKWnoBNCCKlZA62HI2hueyz/jodNLw5U3qABoUTqM8aKi/HUYxHkRAzh1jyMmrwBfDk6V4MQQkjN4vF4mDfAG3J8eYQkh+BqinT3UKvPKJH6jGUc2A+5J0l4pwSkTxuCdk3aVd6IEEIIqYZWWq3wrfW3UCxkuOe1CK9+bRzPcKVE6jMlKihA6s7tAIDAvsqY0WuJjCMihBDS2M1qPwsOKWrodSUTGdt/Q8HTp7IO6ZNRIvWZymS5WOYqj6DuPNhOXAQtpfp/t2JCCCENm6qCKvp8txS3LXiQKy5B8splDf7xMZRIfaa2RW/DM2EObg+zxiirb2QdDmlAkpKSwOPxxJ6PRwghVTXIYjDCx7ZBgTxQHHUXmUEVP5+zvqNE6jNTkp2NR+cP4+/HfwMAPLp40AnmhBBC6gyPx8OsAV74+4v3KcjL9WtRXMEDvus7SqQ+M+m+vsA8T3wTVoz+Zv3R2aCzrEMihBDymWmj0wYKY0ciSQ/gZb3Dq/XrZR1StVEi9RnJu3cPb/98f8+ox+aKWNhpoYwjIvXR2bNn4eDgAE1NTejo6GDQoEFISEiosE1YWBi6dOkCRUVFGBoawsPDA8XFxdx0JycnzJs3D4sXL4a2tjYMDAzEHtcBALGxsXBwcICSkhJat26NkJAQ8Hg8HD16VGKfBw4cgI6ODgoKCsTKR44ciQkTJlRr2QkhdWdul/n4Y5AaRADenj+HovR0WYdULZRIfSZYcTFSfvgBPMYQZsNDjyEzYKBiIOuwPiuMMRQVlNT5S9oTOXNycuDu7o7IyEhcuHABcnJyGD58OEQikcT6KSkp+Oqrr9C5c2fcvXsX27dvx549e7Bq1Sqxevv374eKigpu3ryJDRs2wNvbG8HBwQAAkUiEYcOGQVlZGTdv3sTOnTuxfPnyCuMcNWoUSkpKcPz4ca4sIyMDJ0+exMSJE6VaZkJI3dNW0saAQfOw4ys5LJuhglwNRVmHVC3ysg6A1I23Bw+iKDYO75SA4CFN8aeNq6xD+uwUF4qw0y2szvudtsURAsWqnwc3cuRIsfd79uyBnp4eYmJiYGNjU6a+n58fTExMsG3bNvB4PFhZWeHly5dYsmQJfvjhB8jJvf+91q5dO3h6egIAWrZsiW3btuHChQvo27cvzp8/j4SEBISGhsLA4H2Cv3r1avTt27fcOIVCIb799lv4+/tj1KhRAICDBw/C2NgYTk5OVV5eQojsjLYajX96/oPEzAT43fHD0q5LZR2S1GhE6jNQ9OoVXm3ZAgA42EsOsxw9oMhvmJk/qX0JCQn49ttv0bx5c6irq8Pc3BwAkJycLLH+o0ePYG9vDx6Px5X16NED7969w4sXL7iydu3Eb/hqaGiI9P8fyo+Li4OJiQmXRAFAly5dKo116tSpOH/+PFJSUgAA/v7+cHV1FYuFEFJ/CeQE8OjqAQA4FHcI8ecDUVjOvqa+ohGpz8CrteuA3DzENQWy+3VF72a9ZR3SZ0leQQ7TtjjKpF9pDB48GCYmJti1axeMjIwgEolgY2ODwsJCifUZY2USl9LDiR+WCwQCsTo8Ho87XChpHlVhZ2eH9u3b48CBA3B2dsb9+/dx4sQJqedDCJGdbobd0MukF1T/voCiSyuQ9sUXMNm5o8H8IKJE6jPwuksLZF0D9jjLY1PXJQ3mj7Ox4fF4Uh1ik4XXr1/j0aNH2LFjB7744gsAwNWrFT8Tq3Xr1ggMDBRLhsLDw6GmpoamTZtWqV8rKyskJyfj1atX0NfXBwBERkZWqe2UKVPg4+ODlJQUfPnllzAxMalSO0JI/bGw00LMuBeGMZcLkXPlCrLPnYd6f2dZh1UldGivkRMxEdaoX8bcmXx0dBgJS21LWYdE6jEtLS3o6Ohg586diI+Px8WLF+Hu7l5hm1mzZuH58+eYO3cuYmNjcezYMXh6esLd3Z07P6oyffv2hYWFBVxcXHDv3j1cu3aNO9m8ssR/3LhxSElJwa5duzBp0qSqLSghpF4xVTdFnx7jcbTb+8972to1KHmXI+OoqoYSqUaMFRfjRMIJxLyOgZKSKubYzZF1SKSek5OTQ0BAAKKiomBjY4MFCxZg48aNFbZp2rQpTp8+jYiICLRv3x4zZszA5MmTsWLFiir3y+fzcfToUbx79w6dO3fGlClTuPZKSkoVtlVXV8fIkSOhqqqKYcOGVblPQkj9Mq39NIQ56SBNEyh5lY6MrVtlHVKV8FhDf8hNPZaVlQUNDQ1kZmZCXV29TvsuTEpC0sSJ2Ns9H6daZmNBJ3dMsqFf63UlPz8fiYmJMDc3rzQRIJJdu3YNDg4OiI+Ph4WFRYV1+/btC2tra/zyyy91FB35HNDnuO4dij2Ek396Y9lhEcDnwzzwHyhZWdV5HNJ8f9OIVCPEGEPa6jUoSU1D+9uZMFY1xnfW38k6LEIqdOTIEQQHByMpKQkhISGYNm0aevToUWES9ebNGwQEBODixYuYPXt2HUZLCKkNI1uNxLuOrXDDkgeUlCDtp1X1/qHGdLJ5I/TuwgXkXLmCIj6wt58clnReBAW+gqzDIqRC2dnZWLx4MZ4/fw5dXV18+eWX+Pnnnyts06FDB7x9+xbr16+HpSWd/0dIQycvJ4/vO3+PZcnT0OxfEUxH9pN1SJWiRKqREeXlIW3NGgDAia48GFt3Rp9mfWQcFSGVmzBhgtSPdklKSqqdYAghMtPdqDtsWjthwbRQOGnewi+8+v3IJzq018hk7NyJ4pep+FcdOGIvh0WdF9HtDgghhDQo7h3dIScnj0vPLyEyLRKicu5jVx9QItWIFCYl4c3uPQCA/V/Koa/VYLTRaSPjqAghhBDpNNdsjq9bfQ0whgt+yxDfuw/yY2NlHZZElEg1Iu8uXwYrKsIdcx7uWClint08WYdECCGEVMvM9jOhoqAKvXspKMnIQJr3T/XyxHNKpBoRte/G4tfpTbGnnxzGt5kAQ1VDWYdECCGEVIuOUAeTbSbjQB85FAh4yLt9G5nHjsk6rDIokWpEgh4HIUz7FQoNtTG57WRZh0MIIYR8ku9afwd5AwP80+P9ub7pGzehJDtbxlGJo0SqEcg6ew7/JT6G310/AMCM9jOgpqAm46gIIYSQTyOUF2Jeh3k42YWHNB05lLx+jYxf/WQdlhhKpBq4whcpeLlkCV4MGQHhi9cwVTfFKMtRsg6LNGCMMUybNg3a2trg8Xi4c+cOnJycMH/+fFmHRgj5DA1qPggtm1hjz//fyefNH3+gICFBtkF9QOaJlJ+fH3f7/Y4dO+LKlSsV1v/1119hbW0NoVAIS0tLHDhwoEwdX19fWFpaQigUwsTEBAsWLEB+fj433cvLCzweT+xlYGAgNg/GGLy8vGBkZAShUAgnJyc8fPiwZha6BqVv2ABWUIA4IyBFB1jQYQEEcgJZh0UasLNnz2Lfvn04efIkUlNTYWNjg6CgIPz0009cHTMzM/j6+ko97/z8fLi6uqJt27aQl5ev0rPxkpKSMHnyZJibm0MoFMLCwgKenp4oLOdy6NevX8PY2Bg8Hg///fef2LTDhw/D1tYWysrKMDU1rfQ5gsD7hyYfPXq0TLmrqys924+QOiDHk8OiTotw10IOUS3lgOJi5Fy7JuuwODK9IeehQ4cwf/58+Pn5oUePHtixYwcGDBiAmJgYNGvWrEz97du3Y+nSpdi1axc6d+6MiIgITJ06FVpaWhg8eDAA4ODBg/Dw8MDevXvRvXt3PH78GK6urgAAHx8fbl5t2rRBSEgI957P54v1tWHDBmzevBn79u1Dq1atsGrVKvTt2xdxcXFQU6sfh81yrl9H9vnzEMnxsOdLwE6/A3o36y3rsEgDl5CQAENDQ3Tv3p0r09bWrpF5l5SUQCgUYt68eQgMDKxSm9jYWIhEIuzYsQMtWrTAgwcPMHXqVOTk5GDTpk1l6k+ePBnt2rVDSkqKWPmZM2cwbtw4bN26Ff369cOjR48wZcoUCIVCzJlDD/QmpD7ratgVDk0dsPfLK0gZ2QNLpLx5b61iMtSlSxc2Y8YMsTIrKyvm4eEhsb69vT1btGiRWJmbmxvr0aMH93727Nmsd+/eYnXc3d2Zg4MD997T05O1b9++3LhEIhEzMDBg69at48ry8/OZhoYG++233ypdrlKZmZkMAMvMzKxym6oSFRay+IEDWYylFft5XGtms8+GRb+KrvF+SPXk5eWxmJgYlpeXJ+tQpOLi4sIAcC9TU1PGGGOOjo7Mzc2N+/+Hdaq7G3FxcWFDhw6tVtsNGzYwc3PzMuV+fn7M0dGRXbhwgQFgb9++5aaNHTuWff3112L1fXx8mLGxMROJROX2BYAdOXKkwvgTExPLrBMAzNHRsTqLR+qJhvo5bqxiX8eytvvaMpt9NuzBvw9qtS9pvr9ldmivsLAQUVFR6NdP/Dk6/fr1Q3h4uMQ2BQUFZZ7ALRQKERERgaKiIgCAg4MDoqKiEBERAQB4+vQpTp8+jYEDB4q1e/LkCYyMjGBubo4xY8bg6dOn3LTExESkpaWJxaaoqAhHR8dyY6trb//6C4XxCchTFeCwAw+9TXrDVs9W1mGRKijKzy/3VfzR4aqK6hYVFlRaV1pbtmyBt7c3jI2NkZqaisjIyDJ1goKCYGxsDG9vb6SmpiI1NZWbxuPxsG/fPqn7lVZmZmaZUbKYmBh4e3vjwIEDkJMru2srb//x4sULPHv27JPiMTEx4dZFamoqoqOjoaOjg549e37SfAkh/2OpbYnBFu+PPvlE+aAgKQlZZ8/KOCoZHtrLyMhASUkJ9PX1xcr19fWRlpYmsY2zszN2796NYcOGoUOHDoiKisLevXtRVFSEjIwMGBoaYsyYMfj333/h4OAAxhiKi4sxc+ZMeHh4cPPp2rUrDhw4gFatWuHVq1dYtWoVunfvjocPH0JHR4frX1JsFe1wCwoKUFDwvy+3rKwsqddLVRS/fo1/t24DABz4ogR5yvJw6+BWK32RmveLy9flTjO364QRHl7ce79p41BcUCCxrnFrG4z2XMe93zVnEvKyxf/mFh46KVVsGhoaUFNTA5/PL3PeYCltbW3w+XyoqamVqWNpaQkNDQ2p+pRWQkICtm7dKvZA44KCAowdOxYbN25Es2bNxH4YlXJ2dsaCBQvg6uqKXr16IT4+njvPKzU1FWZmZuX2OXbs2DKH/wsKCrgfaB+ur/z8fAwbNgz29vbw8vL6tIUlhIiZbTsbZxLP4OX9G0hYNBhyfHkI27WDwMhIZjHJ/GTzj58Dxxgr99lwK1euxIABA9CtWzcIBAIMHTqUO/+pdCcXGhqK1atXw8/PD7dv30ZQUBBOnjwpdqLsgAEDMHLkSLRt2xZffvklTp06BQDYv39/tWMDgLVr10JDQ4N7mZiYVG0lSElOWRla47/Dc3NVXGzHw/AWw9Fcs3mt9EWINGJjYzF8+PBam//Lly/Rv39/jBo1ClOmTOHKly5dCmtra3z33Xfltp06dSrmzJmDQYMGQUFBAd26dcOYMWMAlD1H8mM+Pj64c+eO2GvIkCES606ePBnZ2dn4888/JY6MEUKqz0jVCGOtxuK5LpBgpgitcd9CTr12f7xVRmYjUrq6uuDz+WVGn9LT08uMBJUSCoXYu3cvduzYgVevXsHQ0BA7d+6EmpoadHV1AbxPtsaPH8/tZNu2bYucnBxMmzYNy5cvl7hjU1FRQdu2bfHkyRMA4H5ZpqWlwdDwf3cHryg24P3O3N3dnXuflZVVK8mUnFCIh8PaYpF6HhTlhZjZfmaN90Fqz7z9/5Q7jffR3+esnQfLn5GceFI/ddveT4qrvnv58iV69eoFe3t77Ny5U2zaxYsXcf/+ffzzz/t1y/7/MRK6urpYvnw5fvzxR/B4PKxfvx5r1qxBWloamjRpggsXLgBAhaNRwPt9QosWLcTK1NTUylwVuGrVKpw9exYRERH15qIUQhqbqW2n4siTI1g+MgtrelpjkKqKTOOR2c8lBQUFdOzYEcHBwWLlwcHBYlcLSSIQCGBsbAw+n4+AgAAMGjSIS5Byc3PLJEt8Ph+MsXKf0VNQUIBHjx5xSZO5uTkMDAzEYissLERYWFiFsSkqKkJdXV3sVRuKRcXwve0LxuPhu9bfQV+l/OSO1D8CJaVyX/IKClWuK1BQrLRubVFQUEBJSUmtzf9jKSkpcHJyQocOHeDv71/mMx4YGIi7d+9yo0W7d+8GAFy5cgWzZ88Wq8vn89G0aVMoKCjgr7/+gr29PfT09D45xsDAQHh7e+Pw4cOwsLD45PkRQiTTVNLEpLaTwHg8bIvehsISybdCqSsyvf2Bu7s7xo8fj06dOnG/MpOTkzFjxgwA70d4UlJSuHtFPX78GBEREejatSvevn2LzZs348GDB2KH5AYPHozNmzfDzs4OXbt2RXx8PFauXIkhQ4Zww/eLFi3C4MGD0axZM6Snp2PVqlXIysqCi4sLgPeH9ObPn481a9agZcuWaNmyJdasWQNlZWV8++23dbyWyjqecBxPM59CQ1EDE20myjoc8hkyMzPD5cuXMWbMGCgqKnIjwlZWVli7dm2Fh/diYmJQWFiIN2/eIDs7G3fu3AEA2NraAgAiIiIwYcIEXLhwAU2bNsXLly/h5OSEZs2aYdOmTfj333+5eZWOHn+cuGRkZAAArK2toampyZX9888/cHJyQn5+Pvz9/fH3338jLCzsk9fHgwcPMGHCBCxZsgRt2rThRtoVFBRq7NYRhJD/GWc9Dn89+gsp71JwKO4QxrceL7NYZJpIjR49Gq9fv+au/rGxscHp06dhamoK4P0JoMnJyVz9kpIS/Pzzz4iLi4NAIECvXr0QHh4uNiy/YsUK8Hg8rFixAikpKWjSpAkGDx6M1atXc3VevHiBsWPHIiMjA02aNEG3bt1w48YNrl8AWLx4MfLy8jBr1iy8ffsWXbt2xfnz5+vFcH12YTaU+EqY2nYq1BVqZ9SLkIp4e3tj+vTpsLCwQEFBATfaGxcXh8zMzArbfvXVV2IXbdjZ2QH43+G43NxcxMXFcVfinj9/HvHx8YiPj4exsbHYvMobZS7P/v37sWjRIjDGYG9vj9DQUHTp0kWqeUhy69Yt5ObmYtWqVVi1ahVX7ujoiNDQ0E+ePyFEnFBeiFm2s7D65mq8K3on01h4TNo9EamyrKwsaGhoIDMzs8YP873KeQVNJU0o8hUrr0zqXH5+PhITE7m79hNCGh76HNdvxaJipOemw0i15q/Yk+b7W6YjUqT66LwoQgghnzN5OflaSaKkRdfmEkIIIYRUEyVShBBCCCHVRIkUIYQQQkg1USJFCCGEEFJNlEgRUovoolhCGi76/JKqoESKkFogEAgAvL8nEiGkYSr9/JZ+ngmRhG5/QEgt4PP50NTURHp6OgBAWVm5wgdeE0LqD8YYcnNzkZ6eDk1NzUofak0+b5RIEVJLSh9fUppMEUIaFk1NTe5zTEh5KJEipJbweDwYGhpCT0+Pe9wJIaRhEAgENBJFqoQSKUJqGZ/Ppx0yIYQ0UnSyOSGEEEJINVEiRQghhBBSTZRIEUIIIYRUE50jVYtKb+aWlZUl40gIIYQQUlWl39tVuSkrJVK1KDs7GwBgYmIi40gIIYQQIq3s7GxoaGhUWIfH6B74tUYkEuHly5dQU1Or8ZsxZmVlwcTEBM+fP4e6unqNzrs+oOVr+Br7MtLyNXyNfRlp+aqPMYbs7GwYGRlBTq7is6BoRKoWycnJwdjYuFb7UFdXb5QfkFK0fA1fY19GWr6Gr7EvIy1f9VQ2ElWKTjYnhBBCCKkmSqQIIYQQQqqJEqkGSlFREZ6enlBUVJR1KLWClq/ha+zLSMvX8DX2ZaTlqxt0sjkhhBBCSDXRiBQhhBBCSDVRIkUIIYQQUk2USBFCCCGEVBMlUvXU6tWr0b17dygrK0NTU1NineTkZAwePBgqKirQ1dXFvHnzUFhYWOF8CwoKMHfuXOjq6kJFRQVDhgzBixcvamEJpBMaGgoejyfxFRkZWW47V1fXMvW7detWh5FXnZmZWZlYPTw8KmzDGIOXlxeMjIwgFArh5OSEhw8f1lHEVZeUlITJkyfD3NwcQqEQFhYW8PT0rPTvsb5vPz8/P5ibm0NJSQkdO3bElStXKqwfFhaGjh07QklJCc2bN8dvv/1WR5FKZ+3atejcuTPU1NSgp6eHYcOGIS4ursI25X1GY2Nj6yhq6Xh5eZWJ1cDAoMI2DWX7AZL3JzweD7Nnz5ZYvyFsv8uXL2Pw4MEwMjICj8fD0aNHxaZXd38YGBiI1q1bQ1FREa1bt8aRI0dqNG5KpOqpwsJCjBo1CjNnzpQ4vaSkBAMHDkROTg6uXr2KgIAABAYGYuHChRXOd/78+Thy5AgCAgJw9epVvHv3DoMGDUJJSUltLEaVde/eHampqWKvKVOmwMzMDJ06daqwbf/+/cXanT59uo6ilp63t7dYrCtWrKiw/oYNG7B582Zs27YNkZGRMDAwQN++fbnHD9UXsbGxEIlE2LFjBx4+fAgfHx/89ttvWLZsWaVt6+v2O3ToEObPn4/ly5cjOjoaX3zxBQYMGIDk5GSJ9RMTE/HVV1/hiy++QHR0NJYtW4Z58+YhMDCwjiOvXFhYGGbPno0bN24gODgYxcXF6NevH3JyciptGxcXJ7a9WrZsWQcRV0+bNm3EYr1//365dRvS9gOAyMhIsWULDg4GAIwaNarCdvV5++Xk5KB9+/bYtm2bxOnV2R9ev34do0ePxvjx43H37l2MHz8e33zzDW7evFlzgTNSr/n7+zMNDY0y5adPn2ZycnIsJSWFK/vrr7+YoqIiy8zMlDiv//77jwkEAhYQEMCVpaSkMDk5OXb27Nkaj/1TFBYWMj09Pebt7V1hPRcXFzZ06NC6CeoTmZqaMh8fnyrXF4lEzMDAgK1bt44ry8/PZxoaGuy3336rhQhr1oYNG5i5uXmFderz9uvSpQubMWOGWJmVlRXz8PCQWH/x4sXMyspKrGz69OmsW7dutRZjTUlPT2cAWFhYWLl1Ll26xACwt2/f1l1gn8DT05O1b9++yvUb8vZjjDE3NzdmYWHBRCKRxOkNbfsBYEeOHOHeV3d/+M0337D+/fuLlTk7O7MxY8bUWKw0ItVAXb9+HTY2NjAyMuLKnJ2dUVBQgKioKIltoqKiUFRUhH79+nFlRkZGsLGxQXh4eK3HLI3jx48jIyMDrq6uldYNDQ2Fnp4eWrVqhalTpyI9Pb32A6ym9evXQ0dHB7a2tli9enWFh74SExORlpYmtr0UFRXh6OhY77aXJJmZmdDW1q60Xn3cfoWFhYiKihJb9wDQr1+/ctf99evXy9R3dnbGrVu3UFRUVGux1oTMzEwAqNL2srOzg6GhIfr06YNLly7Vdmif5MmTJzAyMoK5uTnGjBmDp0+fllu3IW+/wsJC/PHHH5g0aVKlz3VtSNvvQ9XdH5a3XWtyH0qJVAOVlpYGfX19sTItLS0oKCggLS2t3DYKCgrQ0tISK9fX1y+3jazs2bMHzs7OMDExqbDegAEDcPDgQVy8eBE///wzIiMj0bt3bxQUFNRRpFXn5uaGgIAAXLp0CXPmzIGvry9mzZpVbv3SbfLxdq6P2+tjCQkJ2Lp1K2bMmFFhvfq6/TIyMlBSUiLVupf0mdTX10dxcTEyMjJqLdZPxRiDu7s7HBwcYGNjU249Q0ND7Ny5E4GBgQgKCoKlpSX69OmDy5cv12G0Vde1a1ccOHAA586dw65du5CWlobu3bvj9evXEus31O0HAEePHsV///1X4Q/Phrb9Plbd/WF527Um96H00OI65OXlhR9//LHCOpGRkZWeE1RK0i8Pxlilv0hqok1VVWeZX7x4gXPnzuHw4cOVzn/06NHc/21sbNCpUyeYmpri1KlTGDFiRPUDryJplm/BggVcWbt27aClpYWvv/6aG6Uqz8fbpja318eqs/1evnyJ/v37Y9SoUZgyZUqFbWW9/Soj7bqXVF9SeX0yZ84c3Lt3D1evXq2wnqWlJSwtLbn39vb2eP78OTZt2oSePXvWdphSGzBgAPf/tm3bwt7eHhYWFti/fz/c3d0ltmmI2w94/8NzwIABYkcoPtbQtl95qrM/rO19KCVSdWjOnDkYM2ZMhXXMzMyqNC8DA4MyJ8u9ffsWRUVFZbLvD9sUFhbi7du3YqNS6enp6N69e5X6lVZ1ltnf3x86OjoYMmSI1P0ZGhrC1NQUT548kbptdXzKNi29Oi0+Pl5iIlV6hVFaWhoMDQ258vT09HK3cU2TdvlevnyJXr16wd7eHjt37pS6v7refuXR1dUFn88v86u1onVvYGAgsb68vHyFibIszZ07F8ePH8fly5dhbGwsdftu3brhjz/+qIXIap6Kigratm1b7t9WQ9x+APDs2TOEhIQgKChI6rYNaftVd39Y3natyX0oJVJ1SFdXF7q6ujUyL3t7e6xevRqpqancH9X58+ehqKiIjh07SmzTsWNHCAQCBAcH45tvvgEApKam4sGDB9iwYUONxPUxaZeZMQZ/f39MmDABAoFA6v5ev36N58+fi33QatOnbNPo6GgAKDdWc3NzGBgYIDg4GHZ2dgDenwsRFhaG9evXVy9gKUmzfCkpKejVqxc6duwIf39/yMlJf+ZAXW+/8igoKKBjx44IDg7G8OHDufLg4GAMHTpUYht7e3ucOHFCrOz8+fPo1KlTtf6WaxNjDHPnzsWRI0cQGhoKc3Pzas0nOjpa5tuqqgoKCvDo0SN88cUXEqc3pO33IX9/f+jp6WHgwIFSt21I26+6+0N7e3sEBweLHRE4f/58zQ4e1Nhp66RGPXv2jEVHR7Mff/yRqaqqsujoaBYdHc2ys7MZY4wVFxczGxsb1qdPH3b79m0WEhLCjI2N2Zw5c7h5vHjxgllaWrKbN29yZTNmzGDGxsYsJCSE3b59m/Xu3Zu1b9+eFRcX1/kyShISEsIAsJiYGInTLS0tWVBQEGOMsezsbLZw4UIWHh7OEhMT2aVLl5i9vT1r2rQpy8rKqsuwKxUeHs42b97MoqOj2dOnT9mhQ4eYkZERGzJkiFi9D5ePMcbWrVvHNDQ0WFBQELt//z4bO3YsMzQ0rHfLl5KSwlq0aMF69+7NXrx4wVJTU7nXhxrS9gsICGACgYDt2bOHxcTEsPnz5zMVFRWWlJTEGGPMw8ODjR8/nqv/9OlTpqyszBYsWMBiYmLYnj17mEAgYP/884+sFqFcM2fOZBoaGiw0NFRsW+Xm5nJ1Pl4+Hx8fduTIEfb48WP24MED5uHhwQCwwMBAWSxCpRYuXMhCQ0PZ06dP2Y0bN9igQYOYmppao9h+pUpKSlizZs3YkiVLykxriNsvOzub+64DwO0znz17xhir2v5w/PjxYlfWXrt2jfH5fLZu3Tr26NEjtm7dOiYvL89u3LhRY3FTIlVPubi4MABlXpcuXeLqPHv2jA0cOJAJhUKmra3N5syZw/Lz87npiYmJZdrk5eWxOXPmMG1tbSYUCtmgQYNYcnJyHS5ZxcaOHcu6d+9e7nQAzN/fnzHGWG5uLuvXrx9r0qQJEwgErFmzZszFxaVeLU+pqKgo1rVrV6ahocGUlJSYpaUl8/T0ZDk5OWL1Plw+xt5f8uvp6ckMDAyYoqIi69mzJ7t//34dR185f39/iX+vH/9Wa2jb79dff2WmpqZMQUGBdejQQez2AC4uLszR0VGsfmhoKLOzs2MKCgrMzMyMbd++vY4jrpryttWHf3sfL9/69euZhYUFU1JSYlpaWszBwYGdOnWq7oOvotGjRzNDQ0MmEAiYkZERGzFiBHv48CE3vSFvv1Lnzp1jAFhcXFyZaQ1x+5XeouHjl4uLC2OsavtDR0dHrn6pv//+m1laWjKBQMCsrKxqPHnkMfb/Z9MRQgghhBCp0O0PCCGEEEKqiRIpQgghhJBqokSKEEIIIaSaKJEihBBCCKkmSqQIIYQQQqqJEilCCCGEkGqiRIoQQgghpJookSKEEEIIqSZKpAghDdq1a9fQtm1bCAQCDBs2rNyyuuDk5AQejwcej4c7d+7UWb+lkpKSuP5tbW3rvH9CPkeUSBFCGjR3d3fY2toiMTER+/btK7fsU7i6ulY5IZs6dSpSU1NhY2Pzyf1Ky8TEBKmpqVi4cGGd903I54oSKUJIg5aQkIDevXvD2NgYmpqa5ZbVFWVlZRgYGEBeXr5O+wUAPp8PAwMDqKqq1nnfhHyuKJEihNRbBQUFmDdvHvT09KCkpAQHBwdERkYC+N9hrNevX2PSpEng8XjYt2+fxLK3b99i3LhxaNKkCYRCIVq2bAl/f3+un5SUFIwePRpaWlrQ0dHB0KFDkZSUBADw8vLC/v37cezYMe6wWWhoaJWXITQ0FDweD+fOnYOdnR2EQiF69+6N9PR0nDlzBtbW1lBXV8fYsWORm5vLtXNycsLcuXMxf/58aGlpQV9fHzt37kROTg4mTpwINTU1WFhY4MyZMzWyrgkh1UOJFCGk3lq8eDECAwOxf/9+3L59Gy1atICzszPevHnDHcZSV1eHr68vUlNTMWrUqDJlo0ePxsqVKxETE4MzZ87g0aNH2L59O3R1dQEAubm56NWrF1RVVXH58mVcvXoVqqqq6N+/PwoLC7Fo0SJ888036N+/P1JTU5Gamoru3btLvSxeXl7Ytm0bwsPD8fz5c3zzzTfw9fXFn3/+iVOnTiE4OBhbt24Va7N//37o6uoiIiICc+fOxcyZMzFq1Ch0794dt2/fhrOzM8aPHy+WgBFC6hgjhJB66N27d0wgELCDBw9yZYWFhczIyIht2LCBK9PQ0GD+/v5ibT8uGzx4MJs4caLEfvbs2cMsLS2ZSCTiygoKCphQKGTnzp1jjDHm4uLChg4dWmnMjo6OzM3NTazs0qVLDAALCQnhytauXcsAsISEBK5s+vTpzNnZWWxeDg4O3Pvi4mKmoqLCxo8fz5WlpqYyAOz69etifXp6erL27dtXGi8h5NPRiBQhpF5KSEhAUVERevTowZUJBAJ06dIFjx49kmpeM2fOREBAAGxtbbF48WKEh4dz06KiohAfHw81NTWoqqpCVVUV2trayM/PR0JCQo0tT7t27bj/6+vrQ1lZGc2bNxcrS09PL7cNn8+Hjo4O2rZtK9YGQJl2hJC6U/dnQxJCSBUwxgAAPB6vTPnHZZUZMGAAnj17hlOnTiEkJAR9+vTB7NmzsWnTJohEInTs2BEHDx4s065JkybVX4CPCAQC7v88Hk/sfWmZSCQqt42kdqXr4eN2hJC6QyNShJB6qUWLFlBQUMDVq1e5sqKiIty6dQvW1tZSz69JkyZwdXXFH3/8AV9fX+zcuRMA0KFDBzx58gR6enpo0aKF2EtDQwMAoKCggJKSkppZMEJIo0KJFCGkXlJRUcHMmTPx/fff4+zZs4iJicHUqVORm5uLyZMnSzWvH374AceOHUN8fDwePnyIkydPcsnYuHHjoKuri6FDh+LKlStITExEWFgY3Nzc8OLFCwCAmZkZ7t27h7i4OGRkZKCoqKjGl5cQ0jBRIkUIqbfWrVuHkSNHYvz48ejQoQPi4+Nx7tw5aGlpSTUfBQUFLF26FO3atUPPnj3B5/MREBAA4P19ny5fvoxmzZphxIgRsLa2xqRJk5CXlwd1dXUA72+yaWlpiU6dOqFJkya4du1ajS8rIaRh4rHSExEIIYR8EicnJ9ja2sLX11emcXh5eeHo0aMyeUwNIZ8bGpEihJAa5OfnB1VVVdy/f7/O+05OToaqqirWrFlT530T8rmiESlCCKkhKSkpyMvLAwA0a9YMCgoKddp/cXExd0d2RUVFmJiY1Gn/hHyOKJEihBBCCKkmOrRHCCGEEFJNlEgRQgghhFQTJVKEEEIIIdVEiRQhhBBCSDVRIkUIIYQQUk2USBFCCCGEVBMlUoQQQggh1USJFCGEEEJINVEiRQghhBBSTf8Hvqrr7gv2GdUAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(coords_x[:,0]*1e3, Ex, label=\"along x\")\n", "plt.plot(coords_x[:,0]*1e3, f(coords_x[:,0],*poptx), label=f\"fit: {nu_x:.3f} Hz\", linestyle=\"dashed\")\n", "\n", "plt.plot(coords_y[:,1]*1e3, Ey, label=\"along z\")\n", "plt.plot(coords_y[:,1]*1e3, f(coords_y[:,1],*popty), label=f\"fit: {nu_y:.3f} Hz (not confining)\", linestyle=\"dashed\")\n", "\n", "plt.plot(coords_z[:,2]*1e3, Ez, label=\"along y\")\n", "plt.plot(coords_z[:,2]*1e3, f(coords_z[:,2],*poptz), label=f\"fit: {nu_z:.3f} Hz\", linestyle=\"dashed\")\n", "\n", "plt.xlabel(\"offset [mm]\")\n", "plt.ylabel(\"potential [J]\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check homogeneity at 1mm offset in all directions:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Magnetic field at center: [ 0. 0. 10.74349564]\n" ] }, { "ename": "KeyboardInterrupt", "evalue": "", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", "Cell \u001b[1;32mIn[12], line 18\u001b[0m\n\u001b[0;32m 14\u001b[0m offset \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m1e-3\u001b[39m \u001b[38;5;66;03m#m\u001b[39;00m\n\u001b[0;32m 15\u001b[0m eval_pos \u001b[38;5;241m=\u001b[39m [origin\u001b[38;5;241m+\u001b[39moffset\u001b[38;5;241m*\u001b[39mnp\u001b[38;5;241m.\u001b[39msin(t)\u001b[38;5;241m*\u001b[39mnp\u001b[38;5;241m.\u001b[39mcos(p),\n\u001b[0;32m 16\u001b[0m origin\u001b[38;5;241m+\u001b[39moffset\u001b[38;5;241m*\u001b[39mnp\u001b[38;5;241m.\u001b[39msin(t)\u001b[38;5;241m*\u001b[39mnp\u001b[38;5;241m.\u001b[39msin(p),\n\u001b[0;32m 17\u001b[0m origin\u001b[38;5;241m+\u001b[39moffset\u001b[38;5;241m*\u001b[39mnp\u001b[38;5;241m.\u001b[39mcos(t)]\n\u001b[1;32m---> 18\u001b[0m err \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mlinalg\u001b[38;5;241m.\u001b[39mnorm(B0 \u001b[38;5;241m-\u001b[39m system\u001b[38;5;241m.\u001b[39mgetB(eval_pos))\u001b[38;5;241m/\u001b[39mnp\u001b[38;5;241m.\u001b[39mlinalg\u001b[38;5;241m.\u001b[39mnorm(B0)\n\u001b[0;32m 19\u001b[0m \u001b[38;5;66;03m#print(f\"heterogeneity:\", err)\u001b[39;00m\n\u001b[0;32m 20\u001b[0m heterogeneities[i,j] \u001b[38;5;241m=\u001b[39m err\n", "File \u001b[1;32mc:\\Users\\naeve\\anaconda3\\Lib\\site-packages\\magpylib\\_src\\obj_classes\\class_Collection.py:614\u001b[0m, in \u001b[0;36mBaseCollection.getB\u001b[1;34m(self, squeeze, pixel_agg, output, in_out, *inputs)\u001b[0m\n\u001b[0;32m 540\u001b[0m \u001b[38;5;250m\u001b[39m\u001b[38;5;124;03m\"\"\"Compute B-field for given sources and observers.\u001b[39;00m\n\u001b[0;32m 541\u001b[0m \n\u001b[0;32m 542\u001b[0m \u001b[38;5;124;03mSI units are used for all inputs and outputs.\u001b[39;00m\n\u001b[1;32m (...)\u001b[0m\n\u001b[0;32m 610\u001b[0m \u001b[38;5;124;03m [0. 0. 0.08333333]]]\u001b[39;00m\n\u001b[0;32m 611\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[0;32m 613\u001b[0m sources, sensors \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_validate_getBH_inputs(\u001b[38;5;241m*\u001b[39minputs)\n\u001b[1;32m--> 614\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m getBH_level2(\n\u001b[0;32m 615\u001b[0m sources,\n\u001b[0;32m 616\u001b[0m sensors,\n\u001b[0;32m 617\u001b[0m field\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mB\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[0;32m 618\u001b[0m sumup\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m,\n\u001b[0;32m 619\u001b[0m squeeze\u001b[38;5;241m=\u001b[39msqueeze,\n\u001b[0;32m 620\u001b[0m pixel_agg\u001b[38;5;241m=\u001b[39mpixel_agg,\n\u001b[0;32m 621\u001b[0m output\u001b[38;5;241m=\u001b[39moutput,\n\u001b[0;32m 622\u001b[0m in_out\u001b[38;5;241m=\u001b[39min_out,\n\u001b[0;32m 623\u001b[0m )\n", "File \u001b[1;32mc:\\Users\\naeve\\anaconda3\\Lib\\site-packages\\magpylib\\_src\\fields\\field_wrap_BH.py:341\u001b[0m, in \u001b[0;36mgetBH_level2\u001b[1;34m(sources, observers, field, sumup, squeeze, pixel_agg, output, in_out, **kwargs)\u001b[0m\n\u001b[0;32m 339\u001b[0m src_dict \u001b[38;5;241m=\u001b[39m get_src_dict(gr, n_pix, n_pp, poso) \u001b[38;5;66;03m# compute array dict for level1\u001b[39;00m\n\u001b[0;32m 340\u001b[0m \u001b[38;5;66;03m# compute field\u001b[39;00m\n\u001b[1;32m--> 341\u001b[0m B_group \u001b[38;5;241m=\u001b[39m getBH_level1(\n\u001b[0;32m 342\u001b[0m field_func\u001b[38;5;241m=\u001b[39mfield_func, field\u001b[38;5;241m=\u001b[39mfield, in_out\u001b[38;5;241m=\u001b[39min_out, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39msrc_dict\n\u001b[0;32m 343\u001b[0m )\n\u001b[0;32m 344\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m B_group \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[0;32m 345\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m MagpylibMissingInput(\n\u001b[0;32m 346\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mCannot compute \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mfield\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m-field because \u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m 347\u001b[0m \u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m`field_func` \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mfield_func\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m has undefined \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mfield\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m-field computation.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m 348\u001b[0m )\n", "File \u001b[1;32mc:\\Users\\naeve\\anaconda3\\Lib\\site-packages\\magpylib\\_src\\fields\\field_wrap_BH.py:155\u001b[0m, in \u001b[0;36mgetBH_level1\u001b[1;34m(field_func, field, position, orientation, observers, **kwargs)\u001b[0m\n\u001b[0;32m 152\u001b[0m kwargs\u001b[38;5;241m.\u001b[39mpop(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124min_out\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;28;01mNone\u001b[39;00m)\n\u001b[0;32m 154\u001b[0m \u001b[38;5;66;03m# compute field\u001b[39;00m\n\u001b[1;32m--> 155\u001b[0m BH \u001b[38;5;241m=\u001b[39m field_func(field\u001b[38;5;241m=\u001b[39mfield, observers\u001b[38;5;241m=\u001b[39mpos_rel_rot, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)\n\u001b[0;32m 157\u001b[0m \u001b[38;5;66;03m# transform field back into global CS\u001b[39;00m\n\u001b[0;32m 158\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m BH \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m: \u001b[38;5;66;03m# catch non-implemented field_func a level above\u001b[39;00m\n", "File \u001b[1;32mc:\\Users\\naeve\\anaconda3\\Lib\\site-packages\\magpylib\\_src\\fields\\field_BH_polyline.py:48\u001b[0m, in \u001b[0;36mcurrent_vertices_field\u001b[1;34m(field, observers, current, vertices, segment_start, segment_end)\u001b[0m\n\u001b[0;32m 46\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mall\u001b[39m(v \u001b[38;5;241m==\u001b[39m nvs[\u001b[38;5;241m0\u001b[39m] \u001b[38;5;28;01mfor\u001b[39;00m v \u001b[38;5;129;01min\u001b[39;00m nvs): \u001b[38;5;66;03m# if all vertices sets have the same lengths\u001b[39;00m\n\u001b[0;32m 47\u001b[0m n0, n1, \u001b[38;5;241m*\u001b[39m_ \u001b[38;5;241m=\u001b[39m vertices\u001b[38;5;241m.\u001b[39mshape\n\u001b[1;32m---> 48\u001b[0m BH \u001b[38;5;241m=\u001b[39m BHJM_current_polyline(\n\u001b[0;32m 49\u001b[0m field\u001b[38;5;241m=\u001b[39mfield,\n\u001b[0;32m 50\u001b[0m observers\u001b[38;5;241m=\u001b[39mnp\u001b[38;5;241m.\u001b[39mrepeat(observers, n1 \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m1\u001b[39m, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m),\n\u001b[0;32m 51\u001b[0m current\u001b[38;5;241m=\u001b[39mnp\u001b[38;5;241m.\u001b[39mrepeat(current, n1 \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m1\u001b[39m, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m),\n\u001b[0;32m 52\u001b[0m segment_start\u001b[38;5;241m=\u001b[39mvertices[:, :\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m]\u001b[38;5;241m.\u001b[39mreshape(\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m3\u001b[39m),\n\u001b[0;32m 53\u001b[0m segment_end\u001b[38;5;241m=\u001b[39mvertices[:, \u001b[38;5;241m1\u001b[39m:]\u001b[38;5;241m.\u001b[39mreshape(\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m3\u001b[39m),\n\u001b[0;32m 54\u001b[0m )\n\u001b[0;32m 55\u001b[0m BH \u001b[38;5;241m=\u001b[39m BH\u001b[38;5;241m.\u001b[39mreshape((n0, n1 \u001b[38;5;241m-\u001b[39m \u001b[38;5;241m1\u001b[39m, \u001b[38;5;241m3\u001b[39m))\n\u001b[0;32m 56\u001b[0m BH \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39msum(BH, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m)\n", "File \u001b[1;32mc:\\Users\\naeve\\anaconda3\\Lib\\site-packages\\magpylib\\_src\\fields\\field_BH_polyline.py:213\u001b[0m, in \u001b[0;36mBHJM_current_polyline\u001b[1;34m(field, observers, segment_start, segment_end, current)\u001b[0m\n\u001b[0;32m 210\u001b[0m segment_end \u001b[38;5;241m=\u001b[39m segment_end[not_mask0]\n\u001b[0;32m 211\u001b[0m observers \u001b[38;5;241m=\u001b[39m observers[not_mask0]\n\u001b[1;32m--> 213\u001b[0m BHJM[not_mask0] \u001b[38;5;241m=\u001b[39m current_polyline_Hfield(\n\u001b[0;32m 214\u001b[0m observers\u001b[38;5;241m=\u001b[39mobservers,\n\u001b[0;32m 215\u001b[0m segments_start\u001b[38;5;241m=\u001b[39msegment_start,\n\u001b[0;32m 216\u001b[0m segments_end\u001b[38;5;241m=\u001b[39msegment_end,\n\u001b[0;32m 217\u001b[0m currents\u001b[38;5;241m=\u001b[39mcurrent,\n\u001b[0;32m 218\u001b[0m )\n\u001b[0;32m 220\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m field \u001b[38;5;241m==\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mH\u001b[39m\u001b[38;5;124m\"\u001b[39m:\n\u001b[0;32m 221\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m BHJM\n", "File \u001b[1;32mc:\\Users\\naeve\\anaconda3\\Lib\\site-packages\\magpylib\\_src\\fields\\field_BH_polyline.py:149\u001b[0m, in \u001b[0;36mcurrent_polyline_Hfield\u001b[1;34m(observers, segments_start, segments_end, currents)\u001b[0m\n\u001b[0;32m 145\u001b[0m norm_o1 \u001b[38;5;241m=\u001b[39m norm(\n\u001b[0;32m 146\u001b[0m po \u001b[38;5;241m-\u001b[39m p1, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m\n\u001b[0;32m 147\u001b[0m ) \u001b[38;5;66;03m# improve performance by computing all norms at once\u001b[39;00m\n\u001b[0;32m 148\u001b[0m norm_o2 \u001b[38;5;241m=\u001b[39m norm(po \u001b[38;5;241m-\u001b[39m p2, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m)\n\u001b[1;32m--> 149\u001b[0m norm_41 \u001b[38;5;241m=\u001b[39m norm(p4 \u001b[38;5;241m-\u001b[39m p1, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m)\n\u001b[0;32m 150\u001b[0m norm_42 \u001b[38;5;241m=\u001b[39m norm(p4 \u001b[38;5;241m-\u001b[39m p2, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m)\n\u001b[0;32m 151\u001b[0m sinTh1 \u001b[38;5;241m=\u001b[39m norm_41 \u001b[38;5;241m/\u001b[39m norm_o1\n", "File \u001b[1;32mc:\\Users\\naeve\\anaconda3\\Lib\\site-packages\\numpy\\linalg\\linalg.py:2583\u001b[0m, in \u001b[0;36mnorm\u001b[1;34m(x, ord, axis, keepdims)\u001b[0m\n\u001b[0;32m 2580\u001b[0m \u001b[38;5;28;01melif\u001b[39;00m \u001b[38;5;28mord\u001b[39m \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m \u001b[38;5;129;01mor\u001b[39;00m \u001b[38;5;28mord\u001b[39m \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m2\u001b[39m:\n\u001b[0;32m 2581\u001b[0m \u001b[38;5;66;03m# special case for speedup\u001b[39;00m\n\u001b[0;32m 2582\u001b[0m s \u001b[38;5;241m=\u001b[39m (x\u001b[38;5;241m.\u001b[39mconj() \u001b[38;5;241m*\u001b[39m x)\u001b[38;5;241m.\u001b[39mreal\n\u001b[1;32m-> 2583\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m sqrt(add\u001b[38;5;241m.\u001b[39mreduce(s, axis\u001b[38;5;241m=\u001b[39maxis, keepdims\u001b[38;5;241m=\u001b[39mkeepdims))\n\u001b[0;32m 2584\u001b[0m \u001b[38;5;66;03m# None of the str-type keywords for ord ('fro', 'nuc')\u001b[39;00m\n\u001b[0;32m 2585\u001b[0m \u001b[38;5;66;03m# are valid for vectors\u001b[39;00m\n\u001b[0;32m 2586\u001b[0m \u001b[38;5;28;01melif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(\u001b[38;5;28mord\u001b[39m, \u001b[38;5;28mstr\u001b[39m):\n", "\u001b[1;31mKeyboardInterrupt\u001b[0m: " ] } ], "source": [ "# Evaluate field at a point\n", "origin = 0\n", "B0 = system.getB([origin, origin, origin])\n", "print(\"Magnetic field at center:\", B0*1e4)\n", "\n", "theta = np.linspace(0,np.pi,100)\n", "phi = np.linspace(0,2*np.pi,100)\n", "heterogeneities = np.zeros((len(theta), len(phi)))\n", "\n", "for i ,t in enumerate(theta):\n", " for j, p in enumerate(phi):\n", "\n", " #cacluclate heterogeneity\n", " offset = 1e-3 #m\n", " eval_pos = [origin+offset*np.sin(t)*np.cos(p),\n", " origin+offset*np.sin(t)*np.sin(p),\n", " origin+offset*np.cos(t)]\n", " err = np.linalg.norm(B0 - system.getB(eval_pos))/np.linalg.norm(B0)\n", " #print(f\"heterogeneity:\", err)\n", " heterogeneities[i,j] = err\n", "\n", "# Plotting the heterogeneities\n", "plt.figure(figsize=(8, 6))\n", "im = plt.imshow(heterogeneities, extent=[0, 2*np.pi, 0, np.pi], aspect='auto', origin='lower', cmap='viridis')\n", "cbar = plt.colorbar(im, label='Relative Error (Heterogeneity)')\n", "formatter = ticker.ScalarFormatter(useMathText=True)\n", "formatter.set_scientific(True)\n", "formatter.set_powerlimits((-2, 2)) # Controls the range for switching to scientific notation\n", "cbar.ax.yaxis.set_major_formatter(formatter)\n", "plt.xlabel('Phi (radians)')\n", "plt.ylabel('Theta (radians)')\n", "plt.title('Magnetic Field Heterogeneities')\n", "\n", "# Add the marker\n", "plt.plot([0,np.pi], [np.pi/2,np.pi/2], 'ro', markersize=6, label='x axis')\n", "plt.plot(np.linspace(0,2*np.pi,100), np.ones(100)*np.pi, 'ko', markersize=6, label='y axis')\n", "plt.plot(np.linspace(0,2*np.pi,100), np.zeros(100), 'ko', markersize=6, label='y axis')\n", "plt.plot([np.pi/2,3*np.pi/2], [np.pi/2,np.pi/2], 'bo', markersize=6, label='z axis')\n", "\n", "#legend\n", "handles, labels = plt.gca().get_legend_handles_labels()\n", "unique = dict(zip(labels, handles))\n", "plt.legend(unique.values(), unique.keys())\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "base", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 2 }