diff --git a/Final/Final - Tight-binding propagation method.ipynb b/Final/Final - Tight-binding propagation method.ipynb index 3c505a1..502209e 100644 --- a/Final/Final - Tight-binding propagation method.ipynb +++ b/Final/Final - Tight-binding propagation method.ipynb @@ -1683,42 +1683,42 @@ "\n", "\n", "
\n", - " \n", + " \n", "
\n", - " \n", + " oninput=\"anim3640f8945e9140cfac17fa3c8119f1e4.set_frame(parseInt(this.value));\">\n", "
\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", "
\n", - "
\n", - " \n", - " \n", - " Once\n", + " \n", - " \n", - " Loop\n", + " \n", - " \n", + " \n", "
\n", "
\n", "
\n", @@ -1728,9 +1728,9 @@ " /* Instantiate the Animation class. */\n", " /* The IDs given should match those used in the template above. */\n", " (function() {\n", - " var img_id = \"_anim_img2ce4c8911d99437b9ba2c6bf46b8bbf5\";\n", - " var slider_id = \"_anim_slider2ce4c8911d99437b9ba2c6bf46b8bbf5\";\n", - " var loop_select_id = \"_anim_loop_select2ce4c8911d99437b9ba2c6bf46b8bbf5\";\n", + " var img_id = \"_anim_img3640f8945e9140cfac17fa3c8119f1e4\";\n", + " var slider_id = \"_anim_slider3640f8945e9140cfac17fa3c8119f1e4\";\n", + " var loop_select_id = \"_anim_loop_select3640f8945e9140cfac17fa3c8119f1e4\";\n", " var frames = new Array(200);\n", " \n", " frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbAAAAEgCAYAAADVKCZpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n", @@ -62625,14 +62625,14 @@ " /* set a timeout to make sure all the above elements are created before\n", " the object is initialized. */\n", " setTimeout(function() {\n", - " anim2ce4c8911d99437b9ba2c6bf46b8bbf5 = new Animation(frames, img_id, slider_id, 20.0,\n", + " anim3640f8945e9140cfac17fa3c8119f1e4 = new Animation(frames, img_id, slider_id, 20.0,\n", " loop_select_id);\n", " }, 0);\n", " })()\n", "\n" ], "text/plain": [ - "" + "" ] }, "execution_count": 18, @@ -63353,7 +63353,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 26, "metadata": { "deletable": false, "nbgrader": { @@ -63395,8 +63395,11 @@ "\n", "for i in range(S):\n", " # We write the initial condition for psi into\n", - " # initial condition to c0,\n", - " c0 = (np.random.rand(n) - .5) + 1j * (np.random.rand(n) - .5)\n", + " # initial condition to c0. It is non-negative,\n", + " # but negative initial conditions resulted in\n", + " # noise.\n", + " #c0 = (np.random.rand(n) - .5) + 1j * (np.random.rand(n) -.5)\n", + " c0 = np.random.rand(n) + 1j * np.random.rand(n)\n", " # Normalize c0.\n", " c0 /= c0@np.conj(c0)\n", " \n", @@ -63417,7 +63420,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 27, "metadata": { "deletable": false, "nbgrader": { @@ -63436,7 +63439,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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PbvDuWeCdOwP3zo309Pkn4EsvLRcowL3HGd7/Q720W3HPaD+gL/Al8New5+LP3jmv9K7zBe8Yo4FKYDeffmp9Mv4aWEljGbsMVxlOA47zrmdvb98C4Gjvd0+ivFcR7slwQt/RycCD3nUG7stxLZXlzT7LLWXoqE8LD9atwFv+9EhK85TwiS9tFFDp/f4OzqCIL30KzRu0DWH5vwIu9r3Et/rSLga+CjvGVOBSX/67wmSrIezF9NJ6ePro7t3M2sDD5KXfhq8AirD/duCAaC82oQbtU+BaX9re3vlSfA/g4DAdnBfhnEm4F+aAGO518Poi3OtHgPui7Be81+HXRtjLEmHfN4HrNcKL521bDBzv+z/Ap4c/AxN8adnevWvOoPnz5wD1wBDfuU70fl8HTGzFezHe03OKb9tm4DCc8S4H9vClHQ6sbOF+XEpTg9baZ7slg/YQXuHr27YEOMZ3b3/SgpwXAp9417gN+F0sz4ZvW18v33nNyOl/Fsfjyox7cWVF97D7EM2g/Rhf4evdl3U0vnPvA5eHvTsVwDBcZWFOlOMuB07x/T8JWBX2XCR7/3O9azvUl38W8AOffqaFyVCAaywcjasUJ/nSXwRu9n6vAa4GuoXJF6KTCPdkuCdTCq7iUg/k+tLvBJ7yyRexLG/uEzcuxxb4B67G8JE499Hvm8m70fe7AsjwmrgDgfXqacdjbQvnDc+/2jtOpP0Heul+VuNaGJHyr8bVhPqISLKI3CXO3VWCexDA1fT64h6AtVGOg4j82nNfFItIEc4Q9mnh2qLJvZrGWnmAcJ3mRDhOH1xNa3l4QgvXF86QSMdoLSJysohM89wZRbiaXnM6GQa84blYinBGpx6nh4H4dK6qgQK1Ofz5y3Cti8Cz8zSuxYH3/WyMlxVgm6rW+f4H7klfXCt+lu86PvC2t5bWPtstMQz4VUAuT7YhRHifpDEarkxEygKJqvq8qp6AqxBdA/xVRE6K5eQikgq8CrygqhNaIXcP4CpcK7c4xn3CnxclVJ/DgH/69FCIM3qDaP75j/Su+vW3TRsDLiq9702+9EpC312/jA04ozswIL+3zX+uwP3+Ie59Wi3OnX54FHmbYyBQqKqlUc4B0cvyqMSTQavAvYwB+gd+qGqpqv5KVXcHTgd+Kb7+rBgpAAaJiN+XPaSFfcLzD8W12oKi+X5vwD2ofobianiRzjcU1wLYClyAc0OcgDNGw708gmuG1+FcYU2OI66/7LfAOTi3Uw+cyy4gt1/GSITLPdQ736bI2aOyFeci2CNCWnPXF87aKMcAVzOP+Iz48foVXgPuxrnyegATaV4na4GTVbWH75Ohqutxz45f51k4F29z+PPn4FyAgWfnOeAMr89iJK712BZsxRVao33X0F1dEEVrac2z3dIzBk6/t4fpN0tVXww/pzZGw+VEkl1Va1X1FWAezoUPLT8b/wZKcO49P1HLHY/twKnAkyJyZMuXCTR9XoTQd38tcHWYLjJV9Usvbfcox430rm6IkjcW/DIm4cqYDd5niIQGAwXvt6rOUNUzcK7PN4GXoxy/uediA9BLRHIjnWNHiSeDNhe4wKvNfw/X7wEEO5NHeA9GMa7m3BD5MFGZ6u13nYikiMgZuP6M5ugH/FxEUkXkR7jCZ2KUvBOBvUTkAu/45+Kaye/68lwkIqO8AvFW4FWvRpWL65vahnu57gjs4KW/DtwsIlkisg/OpREgF2eAtgApIvJnoJsvfRMwXKJHqr0I3CAiu3kF7x3AS2EtgBbxanP/Be71OnuTReRwz7hEvb4IPAFcJiLHiwvUGORdM7hn5DzvfozD+f8jkYbru9oC1InIycB3fembgN7iBb94PAzcLo3BG329ZwRczf5UETlKRNJw966ld+cUX/6/4tw7awFUdR0wA9cye01VK5s5ziaiF3AhePfgMeA+EennXcegWFsxzdDSsx1JxvBtjwHXiMih4sgWke+HFWhRERek9X0RyfWei5Nx/ULTvSxzifJsiAsIOga4MKzVEdgvYrkTQN2woAuB10WkpTID4D1gtIic5bUofk6ooXwYuFG8wCgR6e6VL+B0OkBEfiEuCCRXRA710l4E/uQ9m31wrvCIQVExcpBPxl/g3tFpOJ1WAL/19DkeOA2YICJpInKhiHRX1VpcJSFaWRz12fXehS+BO0UkQ1yA0OU7eT1xZdCuxymtCPfwvOlL2xPnOy/DGaYHVXVSaw6uqjW4QJDLvXNchHt4qpvZbbp37q3A7cDZqhrR1eRtPxXXmbsN12o6VVW3+rI9i/PRb8S5537ubX8G19xeDyzCPVR+rsO1bDZ6x3jRJ/eHOLfSt94xqgh1b7zifW8TkdkRRP+vd8zJuE7hKuD/Il1jDPwamI8rrAuBv+GesZauL4iqfgVchgtuKAY+p7FWehOu9bYduAXX4R3pGKU43b7s5b0AFygRSP8Gp8MVnttnIC5w422cW7vUk/FQL/9C4Gfe+Qq8Y7Y0ju0F4C+eHg6i0cUY4GlgP1p2N94MPO3JeU4LeQF+h3PPTxPn3v0E1y+6w8TwbP8TOFtcxN6/IsmtqjNxgQoP4PS3DNd3FysluCCFNbj39+/AT1U1EO3b3LNxPq5g3SCNrsxAxF9z5Y5fBx/jApveEZEDmxPU08uPgLtw+toT+MKX/gbu3Zjg3aMFwMleWikuIOo03Pu+FDjW2/U2YCauZTofF6SyMwP438IFu23H9ZOe5bV+a7zzn4wr+x4Efuy9N3h5V3myX4PTWyTuxBngIvEiIcM4H+et2QC8AfxFVT/ZiesJRgp2SURkOvCwqj4ZIe1SXCfuUW10rnxcJ/XjbXCsvwH9VfWSnRbM6BRE5Du42ugw7covodEpiBu2MEJVwytauzTx1EJrd0TkGBHp77lNLgH2x7Vu4hoR2UdE9vdcNYfgWplvdLZcxo4hLkDheuBxM2aG0XZ0yLx3ccTeODdUNrAC50Is6FyRYiIX5yIbiPNL34NzFxi7GCIyEuc2+hrnWjUMo43o0i5HwzAMI3HoUi5HwzAMI3Exg2a0C9LMPItG65AOXBpHWrEcU0t5pRXLFEkzy/EYRqyYQTM6BemApUBE5K8iMl98k9GGpV8gbsLhchF5U0InI+4lIm94aatF5IK2li8e0VYsx+TPG6kCo+28TJHswDJA0k7L8RjxgRk0o8ORjlsKZBluzNR7EWQYjZs38mLc9FYVuPE2Af6Dm68xDzfO5iFpZoWAsGN3tWArw4gLzKAZQaRx+ZRScctDnOlLu1TccjB3ewNoV3qzNQTSdxM3r1upiHxM8/MmNrsUSFuhqk+r6vu4mcLDuRB4R1Une3Mt3gSc5c3MkI2br+4mVS3zBu++jTN+TZDGpTie8wabXioih4jIVG9QaYG4JUzSfPuoiFwjIku9PP8RcdOsiZu14m5xy/WswK0c4D9fS8tuvOLJUuq1UPcSkRvFLSuyVkT8s6aEX0vQ9SctL8e0SkROkNiWKdpDRD4Tt/zOVhF5XkR6RJMjTKYmy5VI9GWAoupddmxZm9955ywVkSXS+in3jA7EDJrhZzlupu3uuNkWnhORAb70Q3EzpPfBzdTwRKAQxs3MMMtL+ytueZBoTAN+LCK/EZFx0sKS7NK4Fl6kz7vN7dsMo3Gh8wB4xrUG2Mv71Knqt778X3v7ROMM3BRZPYDncdOs3YDTx+HA8cC1YfucijPu++Pm4gxMUXWllzYW13oNn+JrAo0TyZ4N3CEix/nST8PNQNITmIObTSawFM+tuJZprJzuna8Hzqg/EJ5BVT+gccq0HFU9IMJxBDdzxEDcFHJDcLOJxMITuLkPc3FzN37mTRB9MrDBN+/jBprRu6p+xzveAV7+l0RkLG62nKtx83M+ArwtbtqpvXGz9BzsnfskGifWNuIQM2hGEFV9RVU3qGqDqr6Em3bHP3fdalV9zJtf8mncEit5IjIUVzDfpKrVqjoZtw5XtPM8h5te6yTc1FabReR3zeQ/NWwiV//n1B283Bzc1Fp+inFj/nJwUy1FSovGVFV909NdparOUtVpqlqnqqtwBWX4PIF3qWqRqq4BJuHWhAJn3O5X1bWqWogzBACIyBDgSNzSKVWqOhd4nND5Pf+nqh9683G+gptt/y5v7r0JuLk9ezRzLX6mqOpE754/i1sTr9Wo6jJV/dh7PrbglmRpMm9iFGqBUSLSTVW3q2qkKdwC54lF736uAh5R1emqWu/1+VXjluOpx80JOkpEUlV1VcCrYMQnZtCMICLyY5/rpQhXG/a7DoPLOahqhfczB1fr3u7VmgOELzcSgu7EUiBtRBmhkzjj/S9tIS0a4Uv67OW1LDd6bsg7aOqGjbYsT8jyI4TqMpZlN8KXDNmqTZcViXUG/lYv4REJEckTkQme+64EN+1XrEscxbxcSYx69xN1WRtVXYabtPdmXKVrgrh5P404xQyaAYC4WeYfw7lYeqtbcmUBkZd4CacA6On1awQYGst5NfJSIOGyve/rJwn/vB/LeSKwEF9rQ0R2x9XGv/U+KSKypy//Ad4+US8l7P9DwDfAnqraDdfHFIsuIWz5EUJ12S7LbrQBLc3QcIeXZz9PHxcRoz40+nIlkc7ZWr03u6yNqr7gzec6zDvf32KR2egczKAZAbJxL+wWABG5jCgGJhxVXY2bzukWcctLHIXrx4mItLwUSPjxT/b1k4R/To60j3eeVBHJwD3nKeKWqQj01z0PnCYiR3uG+FbgdXVr75Xjluy5VdwyJ0fi+shasxBnLs5tWSZu+ZuftmLfl3HLFg0WkZ5AcEFbbadlN9qAlpYpysW1fItFZBDwm1gOKs0vVxJpGaCW9B7zsjYisreIHCduCaQqXOu2tctWGR2IGTQDAFVdhJsjcirupd8P35IXMXABLmikELdsyjPN5G1pKZC24jFcIXQ+8Efv98UQXBLmGpxh24wrCP1BG9cCmV7ai558zbXQwvk1TielnhytGWf3GC6Q42vcEiGvh6W3+bIbbUBLyxTdAhyI64t8j6bX1BwRlyvRyMsAtaT3m4l9WZt03BIwW3Gu137Aja2Q2+hgbC5HwzAMIyGwFpphGIaREJhBMwzDMBICM2iGYRhGQmAGzTAMw0gIOmwSVW+Gg2dwk70q8Kiq/lPcLOhX4oWLA39Q1YnNHatPnz46fPjwdpS24ygvLyc7O7vljF0E00cjpotQTB+hJJI+Zs2atVVV++7scTpyVvA64FeqOtsbFDpL3CS2APep6t2xHmj48OHMnDmzXYTsaPLz8xk/fnxnixE3mD4aMV2EYvoIJZH0ISLNziwUKx1m0FS1ADcDAqpaKiKLCZ2uxzAMwzB2mE4ZhyYiw4HJuJkofokbyFiCm23iV6q6PcI+V+EmEiUvL++gCRMmdJS47UpZWRk5ObFOq5f4mD4aMV2EYvoIJZH0ceyxx85S1XEt52yeDjdoIpKDm2H9dlV9XUTycCPxFbfsyABV/Ulzxxg3bpyayzExMX00YroIxfQRSiLpQ0TaxKB1aJSjiKQCrwHPq+rrAKq6yVu2oQE3Vc0hzR3DMAzDMCLRYQbNWwjyCWCxqt7r2+5fQPJM3AzvhmEYhtEqOjLK8UjcJKPzRWSut+0PwPkiMgbnclyFWzm2U1izrYKqunr2ymtuHUfDMAwjHunIKMcpRF6XqNkxZx1FdV09Zz/8JZtLq/n8N+MZ1jsxxncYhmHsDGu2VfDElBVce+wI8rpldLY4zWIzhXjMWrWdzaXVAEycv7GF3IZhGF2DW99dyNNTV3PvR992tigtYgbNY87aIgD65KQxZ02TUQOGYRhdjtr6BqYs2wrApCWbifflxsygeazYUk6/3HTGDevFsi1lnS2OYRhGp7N0UxlVtQ0cOLQHm0ur2VJW3dkiNYsZNI9V28oZ3iebob2zWLe9koaG+K6JGIZhtDertpUDcMp+Lhh9ycbSzhSnRcygeazaWs7ufbIZ0iuLmrqGYH+aYRhGV2VtYQUAR+/Z1/tf2ZnitIgZNKCkqpZt5TWuhdYrC4C12ys6WSrDMIzOZU1hBT2yUtmjbzbJScKGIjNocU9BURUAA3tkMqRnJgCrt5lBMwyja7N2eyVDemaRkpxEXm46G4rNoMU9W72Ozn656Qzs4QzappKqzhTJMAyj01lXWMGQXq5MHNAjM1j5j1fMoAFbvP6yvrnpZKQmk5OeEjRyhmEYXZVNJVX07+YM2sAemdZC2xUIGLQ+Oenedxpby2o6UyTDMIxOpbKmnvKaenrnpAEwsHsGBcVVcT0WzQwazuWYlpJEtww3E1jvnHS2WQvNMIwuzLZyz3PlVfT75qZTU9dAaXVdZ4rVLGbQcC20vjnpuAUBoHd2GtushWYYRhcm4KUKtNB6ZrnvwjguG82gAVvKqumbmx783yc33frQDMPo0gS8VIGumF6eYSusMIMW12wtq6F3dlrwf5/sNAoraqi32UIMw+iibAtrofWyFtquQUllLd2zUoP/e+ekowqF5fF74wzDMNqTLeEttGxroe0SFFfW0j2z0aD18IxbcWX83jjDMIz2ZFtZDdlpyWSkJgM+gxbHFf0ub9Dq6hsoq64LM2juxhVX1naWWIZhGJ1KcWVtsCwEyEpLJj0lyQxaPFNS5UJQ/QYt8NsMmmEYXZWSqlq6+cpFEaFXdpoZtHgmYLQiGbSiCjNohmF0TUoqa4NjcwP0zEpjuxm0+KWkGYNmLTTDMLoqxZWhLTSA3IwUSqtsYHXcEqmFFqiVmEEzDKOrUloVGlsA0C0zlZKq+C0XzaBFMGgpyUnkpKeYQTMMo8viXI7WQtuliGTQAv/NoBmG0RWpb1BKq+volhnah9Ytw1pocU3AaIX7irtnpgb71wzDMLoSpVWRK/rdMlIoq66jIU5nUeryBq2kspb0lKTg4MEA3TNTLcrRMIwuSUmlcyuGuxy7ZaaiCmU18el27DCDJiJDRGSSiCwSkYUicr23vZeIfCwiS73vnh0lEzSdJSRAt0xXEzEMw+hqRPNc5XoBc/Haj9aRLbQ64FeqOgo4DPiZiIwCfg98qqp7Ap96/zuMaAYtJz01bm+aYRhGexLoJwsfh5brtdjitTumwwyaqhao6mzvdymwGBgEnAE87WV7GvhBR8kEkcdaAOSkJ1sLzTCMLklwfG5WeB+a+x+vlf2UlrO0PSIyHBgLTAfyVLXAS9oI5EXZ5yrgKoC8vDzy8/PbRJb1WyrpkS5NjrdtUw2lVbVMmjQpuPBne1BWVtZm15IImD4aMV2EYvoIpT318dVaZ9AWzpnJxszGds+K4noAvpgxm4rVnWI+mqXDJRKRHOA14BeqWuI3FqqqIhIxfEZVHwUeBRg3bpyOHz++beSZMYlhA3swfvzYkO2LWc67K77h8KO+0yRgpC3Jz8+nra4lETB9NGK6CMX0EUp76uPbycth4TecdNx3yElvNBPDtpZz69R8hu+5D+PHDm6Xc+8MHRrlKCKpOGP2vKq+7m3eJCIDvPQBwOaOlKmsuo6cjKZ2PSfdGbF4bVobhmG0FyWVdSQnCdlpoZX5QFBIIAoy3ujIKEcBngAWq+q9vqS3gUu835cAb3WUTOAZtPQIBs27cdaPZhhGV6OkqpbcjJQm3S2NUY7xGRTSkS7HI4GLgfkiMtfb9gfgLuBlEbkcWA2c01EC1dU3UFXbQHZapBaa6/wssxaaYRhdjLKqyBX99BS3JlpJnJaLHWbQVHUKEC264viOksNPeY3r4MxOb9pHFriZ1kIzDKOrEc1zBS50P15baF16ppByz1hFdDmaQTMMo4tSXlNHdhSD1i0zxfrQ4pGAQYt04xr70OKzJmIYhtFelFXXRzVouekplMZpRb9LG7RA6ytylKNn0OLUV2wYhtFelFfXNYlwDJCdnkKFGbT4oywml2N9h8pkGIbR2ZRXR3c5ZqWlBOMP4o0ubdCCLscIUY4ZqUkkJ4m5HA3D6HI0FxSSnZ5MRVefbT8eCbS+It04ESEnPcVcjoZhdClUlYqa+ojR3+C10MzlGH80BoVEvnE5cdz5aRiG0R5U1zVQ36BRXY456cmUx2lXTJc2aGXNRDmCM2jxWhMxDMNoD5qLLQDXQqusrac+Dlet7tIGrby6jtRkIT0lshpyMmyRT8MwuhbNxRZAo0ersjb+Wmld2qCVeZE80ZaHyUlPscmJDcPoUrTkucryDF08hu6bQYtSC4FANE/81UIMwzDai/JmguX82+PRe9WlDVp5M6Gp4Goi8VgLMQzDaC8CLsesqFGObns8Vva7uEGLHpoK7sZVxKGf2DAMo71oKSgk4IqMx4C5Lm3QypoZDQ+QmZZMRZyGpxqGYbQHzc1xC9ZCi1tacjlmp6VQU99AbX1DB0plGIbReQRbaFGjHK0PLS6pqKknM8oEnBDfNRHDMIz2IBAUEq07JmDQ4nH6qy5t0Cpr65uNcgyEp1aaQTMMo4tQXlNHekoSKcmRzUNgFv54nC2kSxu0ipq6YCssEoG08jisiRiGYbQHsUR/g7XQ4or6BqWqtiEml6O10AzD6Cq01BWTlpJEarLE5dJaXdagBaZtab6FFr/hqYZhGO1BS54r8Bb5tBZa/BC4GZnN9aF5naI2Fs0wjK6Ca6FFLxfBRYBbH1ocEXAjZqXGEOUYhzfOMAyjPaisqW+2XARv0glrocUPgVD85prW2XHc+WkYhtEeVNTUt+hyzEpPoTwOYwu6vEFrrvMzkBaPyyQYhmG0B5W1zQeFQGCRz/ir6HdZgxZ0OTY3234wKMQMmmEYXYNYgkKy0uJz8eMOM2gi8l8R2SwiC3zbbhaR9SIy1/uc0lHyBNyIzd24jNQkRKDSXI6GYXQRnMuxpaCQ+FxaqyNbaE8B34uw/T5VHeN9JnaUMAE3YnNNaxEhKzU5Ln3FhmEY7UFlC+PQwPWhxWNsQYcZNFWdDBR21PlaIpagEHBh/fFYEzEMw2hrauoaqGvQFqMcs9OS43Jy4ubblR3DdSLyY2Am8CtV3R4pk4hcBVwFkJeXR35+/k6ddN6qWgBmfzWN7FSJmk/qa1i5dj35+dt26nzRKCsr2+lrSSRMH42YLkIxfYTSHvoor1UANqxdRX7++qj5thTUUFXbwGeTJpEk0cvPjqazDdpDwF8B9b7vAX4SKaOqPgo8CjBu3DgdP378Tp14wWdL4ZtvOfHYY0hLid5Q7T13Mrk9sxg/ftxOnS8a+fn57Oy1JBKmj0ZMF6GYPkJpD30UFFfCp5+x38i9GX/o0Kj5liat4M1lizn48KPIzUhtUxl2hk6NclTVTapar6oNwGPAIR117oqaelKSpFljBvE7gNAwDKOtib0rJj7nue1UgyYiA3x/zwQWRMvb1rQ0AWcAN2dZfN00wzCM9qAyhvG5AJmp8blWZIe5HEXkRWA80EdE1gF/AcaLyBicy3EVcHVHyVNRU9fsWmgBMlOT2VxS3QESGYZhdC6xttDidfHjDjNoqnp+hM1PdNT5w4llehfwWmi15nI0DCPxiWV8LvhnUYqvsrFLzxQSi8sxMy3ZJic2DKNLEHQ5pjbf1gkMvK6saWh3mVpDlzVoMbfQ4nREvGEYRlvTepejtdDigoraltf8ATewurK2noYG7QCpDMMwOo+KGBY+hviduL3LGrTKmroWR8ODa6FB/N04wzCMtqYyuPDxrhkU0mqDJiLZItKyJYhzYnU5xuuNMwzDaGsqYliFBCArNbBWZHyViy0aNBFJEpELROQ9EdkMfAMUiMgiEfmHiIxofzHbnliDQrJskU/DMLoIlTX1pKUkkZzU/HRWGWlJXv74KhdjaaFNAvYAbgT6q+oQVe0HHAVMA/4mIhe1o4ztQmtbaLYmmmEYiU6s5WJasjN68dZCi2Uc2gmqWhu+UVULgdeA10QkfibzioGGBvVWZY0lKCQ+x1sYhmG0NRU19THFFgSW1oq32IIWS/SAMRORfwH74Gb1+Bp4QVXn+vPsKlTVxRbJ4/LEp6/YMAyjramsrYupKwZcZT/e5nJszUwhi4B3gFRgFPCciDysqg+0i2TtSKxjLfx5zKAZhpHoxLJadYCsOByjG7NBU9WHfX8nisgDwAxg1zNo1YHR8LHNFALxN6u0YRhGWxPrpO0Qn4sft3ouRxG5BhgB5AIlbS5RBxCYmzGWmoi10AzD6CpU1tTTOyctprxZaclxF1uwIwOrJwKLgcHAnW0rTsfQKpdjqoXtG4bRNaioqYupXIT4dDnGbNBE5BURGamqa1T1CeA04Pb2E639iHXNH38eczkahpHoVNbUtzgxcYCM1F07KORZ4CUREWAWkAPE11TLMdKaFlpaShKpyRKc48wwDCNRqaiNbRwaBFyO8VUutiYo5G3gbRHZHxiDa91NbCe52pXGNX9iu/zMOKyJGIZhtDWxDqyG+HQ5tliii4ioanCqeVWdB8xrLk+8U9mKFprLl2J9aIZhJDT1DUpNXUPsUY6pKXFX0Y9p6isR+T8RGerfKCJpInKciDwNXNI+4rUPrXE5BvLFW03EMAyjLYl1teoArlysI57aMrH43L4H/AR4UUR2B7YDmThj+BFwv6rOaT8R256A37c1I+LNoBmGkcg0BsvF2BWTlkyDQnVdAxkxjOntCGKZ+qoKeBB40JuzsT9QqqpF7Sxbu1FRU0dykpCWHFuQZ6AmYhiGkagEPVcxGqdAS66qtj5uDFprwvZ/BqzHzbA/WUQubzep2pnABJwuYLNlMtPiz1dsGIbRluxIV4x/v3igNQOrfw3sr6qDgJOAo0Tk5naRqp2JdS20AFmp5nI0DCOxCcz6EWvZGGiVxVPZ2BqDVgZsBlDVAuBy4Kz2EKq9aU1oKlhQiGEYiU+sq1UHCOSLJ+9VawzaQ8ArvhWqhwIVbS9S+1NRUxdzxyd4yyTE2QBCwzCMtmTHXY7xE18Qs0FT1QeB54HHRWQ7sAxYIiI/EpE920vA9mDHWmjxc9MMwzDamtaOzw24JuNpFqVWTU6sqq+r6nigL3Ag8BlwBPBIS/uKyH9FZLOILPBt6yUiH4vIUu+7Z+vE3zFab9BSqKptoKEhfsZbGIZhtCWtdzl6UY67qMsxiKrWqeo8VX1aVW9Q1eNi2O0p3Jg2P78HPlXVPYFPvf/tjpuAs3UtNMDcjoZhJCwBL1SsQSGNK5HET7m4QwZtR1DVyUBh2OYzgKe9308DP+gIWSpqY18iAeIzPNUwDKMtSQSXo3TktCUiMhx4V1X39f4XqWoP77cA2wP/I+x7FXAVQF5e3kETJkzYYTmWba8nI0UYnBubPZ+yvpbH59fw9+9k0i+rbesAZWVl5OTktOkxd2VMH42YLkIxfYTS1vp4ZUkNH6yq5YmTsmPKX9egLN3ewIBsoUfGzpWLxx577CxVHbdTB2EHVqxuL1RVRSSqdVXVR4FHAcaNG6fjx4/f4XO1ds+K+QUwfzb7jR3HyAHddvi8kcjPz2dnriXRMH00YroIxfQRSlvrI79kIdkF61p1zBPa7OxtQ4e5HKOwSUQGAHjfmztZnohkmsvRMIwEx61WHTdtnB2isw3a2zTO1H8J8FYnyhKVwNxm8TSA0DAMoy1pbfR3PNJhBk1EXgSmAnuLyDpvLsi7gBNFZCmu9XpXR8nTGgK1FhuLZhhGotLaKQHjkQ5rX6rq+VGSju8oGXaUTAvbNwwjwbEWWhfBwvYNw0h0KmrrWzUlYDxiBi0GzKAZhpHoVNbUxbwWWrxiBi0GGmeVtj40wzASE3M5dhHSUpJISRJroRmGkbAkQlCIGbQYybQ10QzDSGDKa1o3JWA8YgYtRrLSkm0cmmEYCUlDg1JV22BBIV2FrLQUyq0PzTCMBCQwJMlaaF2EzFRroRmGkZi0drXqeMUMWoxkWR+aYRgJSqCy3pp1IuMRM2gxkpmWHFfr/hiGYbQVFbWuO8UmJ+4iuKAQ60MzDCPxMJdjFyMrLcVcjoZhJCRBl6MZtK5BpoXtG4aRoFgLrYuRbUEhhmEkKIGlscygdREy01KorK2noUE7WxTDMIw2pdHlaEEhXYJAzaWqzlpphmEkFkGXo4Xtdw1sCRnDMBKVwEwhFhTSRQgMOKyoNoNmGEZiUVFTR5JAesqubRJ2bek7kMCAw8AARMMwjETBrYWWgoh0tig7hRm0GDGXo2EYiUoirIUGZtBiJnCzbSyaYRiJRiKsVg1m0GLGWmiGYSQqFTX1u/zExGAGLWYaDZr1oRmGkVhU1u76q1WDGbSYCQw4NJejYRiJRkVNPdnpu/agajCDFjPZ5nI0DCNBqTSXY9shIqtEZL6IzBWRmZ0tTySCQSFha6K9/fUGDrvjUz5etKkzxDIMw4iZddsrmLeuqMl2Cwppe45V1TGqOq6zBYlEWnISyUkS0oemqtw5cTEbS6q4/b1FqNo8j4ZhxCfbyqr53v3/4/QHvmD2mu0haRU19bv8PI4QXwYtrhERslJDZ9xfubWcguIqRg3oxqptFazaVtGJEhqGYUTnrbkbKKt2FfKXZ6wNSausSYygkHgxyQp8JCIKPKKqj4ZnEJGrgKsA8vLyyM/P71gJgWTqWb56Hfn5WwDIX1sLwAn9q1lUAM988CXHDE5t1THLyso65VriFdNHI6aLUEwfobRWH+/MriIvSxiYk0T+onXk9y4EnKepoqaezQXryM/f3E7SdgzxYtCOUtX1ItIP+FhEvlHVyf4MnpF7FGDcuHE6fvz4Dheyx4xJdO/dg/HjxwLw4evz6Jm1kRvOOZ4Xln5CSVo/xo8/oFXHzM/PpzOuJV4xfTRiugjF9BFKa/TR0KD8YvLHnDRqIP27Z/Dvz5Zy6BFHk5mWTFVtPfrhB4zcc3fGjx/RvkK3M3HhclTV9d73ZuAN4JDOlSgymWkpVPr60FZtrWC3PtmICKMGdmfJppJOlM4wDCMyK7eVU1RRy0HDezJyQDcaFJZsKgUSZ+kYiAODJiLZIpIb+A18F1jQuVJFJits1erV28oZ3jsbgD375bBsc5ktAGoYRtyxdFMZAPv0z2XUgG4ALC5wFfDy6sBq1fHisNtx4uEK8oA3vFmeU4AXVPWDzhUpMllpyZRWuZtfVVvPhuIqhnkGbUS/HKpqG1hfVMmQXlmdKaZhGEYIyza71tgefXPISE0mJUlYW+iC2BJlLTSIA4OmqiuA1nU8dRKZqclsLqkGCD4Mw/s447VnvxwAvt1UagbNMIy44ttNZQzqkRmcDaR/9ww2FFUCPpdjAhi0Tnc57kpkpSUH10Nb7z0Mg3pkAjC8j2uprSm00H3DMOKL5VvK2MOrdIMrtzYUVQGN89MmQgvNDForyEpPCc7luLnUtdT65WYA0Ds7jYzUJNZtr+w0+QzDMCKxoaiSwT0zg/8H9cgMVsorgy20TnfY7TRm0FqBf2D1loBB65YOuIHXg3tmsW67tdAMw4gfKmvq2V5Ry8DuGcFtA3tksrGkivoGNZdjVyUrLZnK2noaGpTNJVXkZqSQ4Qt1HdIzk7WF1kIzDCN+KCh2ZdKA7o0ttAE9MqhvUDaXVgWjHG22/S5GZloKqlBVV8/m0mr65aaHpFsLzTCMeCPQVzawR6NB65vjyq5tZTWUey20HHM5di38q1Y7g5YRkj64ZyYlVXUUV9Y22XdLaTUrt5Z3iJyGYRgBNngttIE9Gsur3p5B21pW3TgOLd1cjl2K4BIyNfVsKa0O9p8FGNzTheuvDwsMWVtYwXH35HPcPfl8tHBjxwhrGEaX4eUZa/nufZ/z1tz1TdIKvBZaf18fWp+cNMBroVXXkZaSRGryrm8Odv0r6ED8LbTC8hp6Z4cbNNekXxvmdnzyi1VU1NSTl5vB3z9cYsvMGIbRZqwvquSPb87n201l/O61eRSW14SkbyiqpE9OOukpjS2wQAttW3k1ZdV15CRA/xmYQWsVAYNWUlVLWXUdPbNCZ9YP+KgLihpbaHX1Dbw1dz0njc7j58fvybLNZSwqsDkfDcNoG96cs57aeuWxH4+jqraBDxaEeoE2FFeGuBsBstOSSU9JCrbQshPA3Qhm0FpFZqqrxRQUuyZ8jzCD1js7jdRkYaM3mwjA4oJStpXXcNLo/py8b3+Sk6TJA2cYhrGjvDuvgIOG9eSEkf0Y3DOTz77ZFJJeUFzFgO6hBk1E6JOTzpayaspr6slOgIAQMIPWKgIttEALrHtWWkh6UpKQ1y2DjcWNLbRZq92aQwcP70XP7DT2HdiN6SsKO0hiwzASmS2l1SwuKOHEUXmICMfu3Y8vlm2j3pskXVXZUFQZEuEYoHdOWrCFZi7HLkjQoAVaaJlNF/Ps3y2DjSVVwf+z1hQxsHtG8IE6ZLdezF1bRFVtfZN9DcMwWsOMVa5yfOhuvQAYO7QHlbX1LN/iZtcvqayjoqaegd2bGrRe2WlsK3dRjllm0LoegZsemNQz3OUILpJoY3GjQVtcUMLoQd2D/8cN70VNfQMLNxQ32ff56as5/M5Pue3dRRY4YhgGVbX1/O7VefxiwpwmwR4AX60sJDM1mX29MmY/73v+Ole+BEL2B4T1oQH0zEqjuLLWCwqxPrQuR2ABvMYWWlqTPIEWmqpSW9/Aqq3ljPBNChp48BZtCA0MWb2tnL+8tZDa+gYen7KS962fzTC6PDe/vZCXZq7lzbkbuPH1eU3SF20oYfTAbsGQ+9375pCVlsz89Z5BKwqMQWvaQuuemUpRRS0V1ofWNQmMQ9sQ7EOL3EKrqm2guLKW1dsqqGtQRvRtNGgDu2fQIyuVhWEG7bH/rSA5SXj7uqPYKy+HBz5b1o5XYhhGvLO2sIJXZq3jsiOH8/Pj9+TDhZtCJmdQVRZvLGHv/rnBbclJwoh+OUGX4wav8h3J5dg9M5XSqjpKKmsTYtorMIPWKtJTkkgS2FZeQ5JAboSHIDB4saC4imWb3UPlb6GJCKMHdgsxaHX1Dbw/fyMnjspjYI9MLjpsGIsKSliwvqlbsr5BeX76ap6duoqauoa2vkTDMDqIbzeV8pe3FjBxfkHE9FdmrkVVufLo3bnosKEkJwmvzlobTC+sUkqr6tjHW4E6wG59soOGr6CokpQkoW/YNH3Q2GVSXlNvQSFdEREJLrHQPTOVpCRpkicQHruxpCpYS/KvQwQwemB3lmwqpbbeGaTZa4rYVl7DKfsNAOC0/QeSJPDxotDwW4A/vbmAP76xgJveWsif3pzfdhdnGEaHsbm0inMfmcrTU1dz7fOzI84g9P6CjRyyWy8G9sikX24GBw3ryWffbAmmry115cdIXwsNnEFbX1RJVW09G4oqyeuWQXKEssofA5AI016BGbRWE6jJ9Mhq2n8G0N9r2m8srmL55jIGdM9oUvsZPbAbNXUNQYM3dfk2RODIEX0A6JmdxgFDevD5t1tC9pu3rogXv1rD5UftxrXj9+DlmeuYvmJbRDm2lFYz6ZvNwbWODMPoGKpq67nr/W+4+InpwSjEcP7xwRLKa+r54BdHs0//XG55ZxF19Y0el9Xbylm6uYyTRvcPbjtun34sLihhkxdFva7M5d8rgkFTdYsNbyiuajKoOoA/BsBaaF2UwIj67hFC9gH65aYj4gzaiq3l7N43u0megM97ycZSAKav3MbI/t1CjnnMXn35el0R232RTU99uYrc9BRuOHEv/u+4PemdncbDny9vcvxZqws55h+TuOypGZz10JcUVTSNjjIMo/WoKgvWFze7qsaNr8/n4c+Xs2B9MRc+Pp1vN5WGpG8ureKtuRs47+Ah7NO/GzecuBfriyqZtKSxAjt1uauoHr1nn+C2w3bvDcDs1dsBWFfawKAemXTLCC2LduvjypwVW8opKK4MWTbGjz8GwIJCuig53sMTKWQfIDU5iT456WwsrmLd9kqGeBMW+9m9Tw4pScLSTWU0qDJnTRGHeONIAnxnr76owpRlWwEor65j4vwCThszkJz0FDLTkjn/kKF8/u0WNpc2DhOoqq3n/16YQ9/cdO48az+Wbirlr+8ubiJDfYNy27uL2P/mDzn/0WnB1WsjsaGo0pbFMboEzY0Pra6r58pnZnHqv6dw9N8n8fSXq5rk+WplIW/MWc/1x+/Jx788hqy0ZG59Z1FInonzCqipb+DHhw8D4Ph9+tE3N53XZq0L5pm+spA+OWns4QsoGzWgG2kpScxZWwQ4l+M+Ya0zgOEBg7a1jI3FVREjHCF0HK0FhXRRAoEgkQZVB+jfLYNV28rZWlbNoAgPU1pKErv1yWbJplI2liuVtfXBcP4A+w/qTlZaMjM9l8UXy7ZSVdvAqfsPCOb5wdiBNCi8+3Vjp/KEr9awobiKO8/cj/MPGcrlR+/Ga7PXBQNUAvzzk295fMpKDtmtFwvWF3P5UzOavMyqyl/fXcQRd33GUX+bxE1vLqChoen4OFXl40WbuOejJcGZUQwjnlhbWMHctUXBGTTCWV9UyVkPfsE+N33AOY9MDbr1/Pzr06V8sngTvzhhT47dux83v7OQrz3jEuCBScvok5PGT8fvQZ+cdH56zB5MWbY1ZJjOx4s3sUffbEb0c8YoJTmJE0bmMWXZVmrqGlBVpq3YxqG790akse8rLSWJfQd2Y86a7VTX1bOxXNlnQFOD1i0jlT45acxYWUhtvUZ1Ofo9QuZy7KIEXI7R+tDARTrOXuPcAoN7Ra4d7ZWXy7ebSlld4vzgoweGRiqlJCcxdmgPZnruhUlLtpCTnsK4YY0tuRH9chk1oBtvf70BcIbl+elrGDOkB0d4/XFXHr07aSlJ/PeLlcH9Vm8r56HPl3Pm2EE8fsnB/Ov8sXyzsZQnpqzEz7PTVvPElJWcd/AQLjpsKM9OW83Dk5u6OG95ZxFXPjOTf3+2jB8+NJVnpq6KeM2z12zn1ncW8fj/VlBRUxcxT0298u68DbwxZx2lVU3XlfNTXWf9g7sqdfUNwXW4ojF/XTH/nbKSr1ZGryS9O28D5z06lSuensm8dUVN0lWVu97/hqP/Pokf/OcLznzwC7aUVofkqaip48dPTGfppjIuO3I4C9cXc9UzM0OiiDeXVvHY5JWcdeAgfnHCXtx/3hj65KRz5/uN3o9lm0uZ/O0WLjtyt+BK9ucdPJT0lCRemrEGgOLKWqavKOTEUf1DZDhun36UVdcxY1UhaworKCiuCroY/Ywd2pN564pZsrGUeoV9+ndrkgdgSK8sZqxyZUdUl2NIC82CQrok/ijHaPTvlkFtvasJDurR1OUIzqCtKaxgaVE9aSlJIaH9AcYN68XighJKq2r5fMlmjhzRm7SU0Fv2/f0HMHdtEZtKqpi3rpilm8s49+AhwfQ+OemcNXYQr81aR3GFMxCPTl5Bkgg3nrwPAMfu048TRubxyOfLg4VMRU0d//xkKUfs0Zs7z9qPv56xLyfv25/7P14a4p58++sNPPXlKi49Yjjzbv4uJ4zsx1/eXsgcz6AHeHnmWs5+6EuenbaK295bzNkPTW3St7e5tIpbplZy3QtzuOGlrznh3s9ZHGFlgilLtzL+H5PY+08f8IP/fBExT01dAw9/vpxzHp7KdS/MbjKQPUBFTR3vfO0MaLS+RlVl9prtvDlnPWu2RXe9VtbUM29dUZMCM/xYK7aUsWprebOzwdTWN1BZ1/xsMVW19XyzsaRZw1/foCzZWBoye004ZdV1vDxjLY//b0XURWirauv575SV/OaVr6MOGamsqeemNxew/80fcuRdn/HstNURr/HJL1Yy9taP2ffmD7n8qRkR9fXAZ0s57YEp3PruIs55ZKrzDoQd67HJK7juhTlsLqlm7trtnPPI1CZBGM9OW+2eg3GDuePM/Vi6qYyfPjcrpKX2n0nLWL6lnIcvPoi/nDaaf/zoAL5eV8wEzwgBPDd1NbUNDfz8uD0B1wq68ujdmLaiMDi85vXZ60lOEs4Z1/j+dc9K5di9+zFxwUbqG5T8JZupa1BOHJUXImfg3f7sm83BuV4PC+uGABgzpAfVdQ28NddVYiO5HAEG9cikzHuXo7XQUnzrn5nLsYsSCH9t1qD5ZrYOrJEWzl55OajCtA117J2XG3FxvYOH96JB4ZWZ69hQXMUxe/VrkueEke7F+HTxZl6bvY70lCS+73NLAlx46DCq6xp4e94GSqtqeWPOek47YCD9ujXKee2xe1BSVcfLM904lxemr2FbeQ2/PHEvRAQR4U+njgLgX58sBVwL6e8ffMPogd246dRRdMtI5f7zxpKXm8GNr88PRm0tWF/MH9+Yz5Ej+jDnz9/lv5eOY+nmUn732rxggVdVW88VT89kS6Xy6MUH8dJVhyEIlz75FdvKGgu8z7/dwk+emkFKchI/O3YP1hdVcs4jU4MBNoFj/eSpGdz1/jdU1dUzZdlWznzwCyYt2RyilwXrizn+ns/5vxedAR1/d36wMz5AaVUtP31uNmc9+CW/eGku4++exP2ffNukoH5r7noOv+tTTn/gCw654xNuenNBk0J/xZYyzvjPFxx3z+eMvzufsx+e2sRA1tQ1cNf733DALR/x008q+NHDXzYJKgB4ddY6Drn9E753//8Yd9snPPDZ0iYyzVxVyHH35HPS/ZM57M5P+dkLs4OFXICFG4o54Z7P+e1r87jtvcWceO/nvPjVmpA8xRW1nPngl9z67iI+/WYzN721kHMfnRpiSCtr6rn0ya94fvpqjh+Zx+Cemdz05gLu+ejbkGP985Ol3PLOIsYO68nV39mDL5Zv5cLHp4Uc6+UZa7n7o2/5wZiBfPH747jiqN14dtpq3l/ZmGfGqkLueH8x399vAB/d8B0+/MV36N8tg+tfnBNcMX7Ntgpue28xx+3Tj7vO2p8LDh3K7Wfuy8zV24PGamtZNU9+sYrTDhgYjDI+ed/+HLJbL/716VIqauqoqq3nuelrOH6fvGD/FMB5hwwlJz2FJ6aspKFBeWvuBo4a0afJmK9TDxjAltJqvlpZyMeLNtEnJ52xQ3qE5MlKS+Hg4T35cvk2pq8spFd2WsRK7v6DXdfEKzPXkiKNASDhDPb13UcaVB1O7+zoHqddCTNorSTdayFFGtcRwL9UQ163yLWjQKhtRV1Td2OAMUN7kJwk/PszZ0COGtGnSZ698nIY2iuL9xcU8N68Ak4Yldck6mnfQd0YOaAbL89Yyxtz1lNRU8/Fhw0LyXPg0J4cNKwn//1iJRU1dTwyeQVH7NGbccMba4mDemRy4WFDeXX2OlZuLefF6WtYt72S331vn6A+ctJTuPn0UXyzsZQXvlpDQ4PypzcX0D0zjQfOP5Cc9BSO2yeP35y0Nx8u3MSrXkf4Q/nLmbeumKv3T+e7o/tz6O69eeLScWyvqOXXr3yNqrKppIrrJ8xh977ZvHbNEfzmpH1449ojyEhN5prnZlFaVYuq8pe3FjJl2Vb+/sP9efu6o/jsV+MZ0S+H656fHWzNrS2s4JL/fkWSCC9ccSivX3sEfXPSufTJr5jmDYWorW/g6mdn8fHiTfzue/vw/vVHc8aYQdz/yVLu+uCboF5en72O6yfMZUTfHP5zwYFccvhwnp22miufmRl0i64trOD8x6axbnslt5w+mptOHcWyzWWc/fCXwf7N2voGfvbCbB7+fDnfHZXHmSNSWbm1nLMf+jKkr+axySv49StfM3JAN+4/dwzHj+zH3R99y29fnRfs4/xqZSEXP/EVAH8/e3+uO3YEHyzYyCX//SrYCl+3vYJL/jsDEXjlmsOZeuNxHDmiDze+Pp/npq0OynTNc7NYvrmMJy4Zx+ybTuSBC8Yyf10xVz87KziW8pZ3FvLVqkLuO3cM9507hhevPIzzDh7CA5OW8d4818f76eJN3PfJt5x14CCevPRgfn/yPjxxycEs31LOn99aGNTTze8s5MgRvbn7RwcwqEcmf/z+SE7Zrz+vL61lwfri4PyGA7tn8vez9yclOYneOencd+4YNpVWc+dE5wa8feIiUpKEO87cLzhm9Myxgzh0t17c/eESSqpqeXDScqpq6/nFCXsG9Ssi/OakvdlaVsMrM9fx1tz1FJbXcPlRu4W8M90yUvnhgYN4b34BHy3a6PrhDhzU5B09bp9+ZKYm8+ac9Xy+ZAsnjOwXcQzrYbv15puNJXyyeBPjhvUM6T8LMLRXFt0yUiipqmNQblJIK8vPIF9FOloAm5+ezXSh7ErERTtTRL4H/BNIBh5X1bs6WaSoBFZ9ba7/pr/PiEUzfMN6NdagRocFhATISU9h5IBcFqwvYVCPTIZE6I8TEU4clRfs/zpt/4ER85wzbjC3vLOI+euL2W9Qdw4IqyECXHHUbvz0+dlc+cxMtpRW86/zxjbJc+34Ebz41RrunLiYWau3c/juvUNCiwFOGt2fI/bozb0ff0tNXQNz1xZxz48OCAkTvuKo3fl40SZue28xQ3tl8VD+cs4YM5CD8hpnRxk9sDs3nrwPt7yziOenr+HDhRupqq3nPxceGDzW4J5Z/OeCAzn/sWnc+Pp8Dt+jNy/NXMt1x47gHM/12is7jScuOZjTH5jCNc/N4sUrD+PKZ2ZSW9/Ay9ccHowke+nqwznnkalc9cxMXv3pETwzdRVfLt/G3T86gLMPGgzAveccQE56Co98voLe2Wns2S+X3746jyP26M2Tlx1Mekoy399/AHvl5fKHN+bzq5e/5o/fH8mFj0+nqraBl68+PDhs4+g9+3DBY9O5+InpTLjqMP7+wRI+XrSJW04fzSVHDCc/P59fnnUIFzw+jZ88NYM3f3YkiwtKgi2T+88bQ2pyEmeMGch9nyzlX58uJUmECw8byk+emsGAHhm8dNXhwRbDqIHduO6F2fz8xTnce+4YLn/KGdwXrzyCPfOcTI/9eBw/fW4WN721gJ5Zafxv6RamrtjGveccwPGeN+DU/QdSXdvAr175mtvfW8zYoT2YMGMt147fgzPGuAI9KUm49Yx9WbLJtcR7Zqfyq1e+ZtSAbtxx5n7B9+LIEX34v+NGcP8nS/nOXn14ddY6BPj72QcEC2sRZ5S++HYTv311Hkfv1YcVW8t59vJDQlxlY4f25PKjduPRySvo1y2DDxdu4jcn7R3iMRERbjp1FKf+ewp/eWsh780v4IcHDg6JJgTnHTlwaA8en7KC9JRkRg3oxmG7N3UBXnDoMJ6eupprnptNTnpKE1ciuNbXcSP78ZLn/YiUB+CwPXqjH7t+tvCoZ7/8+w7qzpfLtzE4J3p7ZLAvGC2SYQwnkoHdFen0FpqIJAP/AU4GRgHni8iozpUqOj8a5wq2gKsvEoEXKLDcTCT8Nav9ohg0gIOG9gTcshDRHsxT9mvsYB6/d9+IeX4wprHmGF7TDHDiqDwGds/gi2XbOHh4z4gvcN/cdC45fDgfLdrEtvIafvu9vZvIFSg0iipque29xYwb1pMzx4bWXJOShDvP2p/KmnrOfXQamWnJ/On7TW/7JYcP58gRvfnTmwv439Kt/PnU0U0Kn0N268UvT9yLd+cV8Mc3FnDMXn254cS9QvL0757BQxcdyPrtlRxx12cs3VzGAxccGHKsXtlpPHXZwaSnJvPd+ybz3LQ1XP2d3YPGLHBtt5w+mu/vP4A7Jn7DZU/NYJ8BuTxy8UEhS9xfcOhQfn/yPrw7r4Aj7vqMbWXVPP2TQ0Lm3dsrL5dnfnIIZdV1HPOPfN6bX8AfTxnJJUcMD+YZ0iuLpy47hLoG5cwHv+D/XpzD/oO6c885BwTd1CLCL0/ci58fN4KXZq7l9Ae+oHtmKs9fcWiI++uU/QZwy+mj+fSbzRxy+ycs21LGQxceFDRm4CLpHrjgQA4a2pOfvTCbCTNc5eCsAxt1APDDgwZz+VG78dSXq7h+wlwOHt6TX4bpPC0liX+fP5bkJOGCx6ZTV688eOGBwYCJANcdO4KDhvXkhpe+5otl2/jj90c1iQ7ukZXGxSPTWFRQwiOfr+CHBw7m6D2bPuvXH78nA7tn8K9Pl7J73+yIz/q+g7pz2gEDeWPOeoAmz0qAq76zO2sLK1m2uYyfHLVbxPdv7/65HDi0BwBnjBkY7GMP59T9GrsBjozgaYFGdyIQ4hkJp6fnHhycG734juSujMTffrhfk/u2S6OqnfoBDgc+9P2/EbixuX0OOuggjWcaGhr0mS9X6rLNpc3mO+GefB32u3e1tq4+ap55a4t0xB/e048Wbmz2WA/nL9PPl2xuNs+TU1botc/N0ppmzvfBggI98d58nbe2KGqebWXV+qOHv9Q7Jy5u9nx3vb9Yj7t7ki5vRg9PTlmh+9/8YfD6Jk2a1CRPQVGlXvXMDP3XJ99qQ0NDxOPU1zfo/R9/q79/bZ4WlddEPd+bc9bp6Q9M0YnzNkTNM39dkZ503+d6+3uLtL4+8vmqauv0pjfn6y9fmhv1fA0NDfrY5OV62ZNf6fx10fW5YH2R/vrlufrO1+tDtvt1MXX5Vh395w/0hHvydXNJVdTzPfr5cr32uVm6amtZ1PPd89ESHXPLh/rC9NVR8xSV1+gvX5qrD+cvi6rz2rp6/e0rX+tlT34VVSZV1dmrC/UXE+bo1OVbo+ZZW1iu5z86VW97d2HU802aNEmf+mKl/umN+VpcGf0ez12zXX/7ytf6TUFJ1DybS6r06mdm6ttz10fNU1ffoBc+Nk1Pf2CKVtdGf2e+WLpFL3vyK11bWB41T2VNnR5wy4f6pzfmR82jqvqXtxbocXdPavYdfWvueh32u3f12bc/bfFYzd3jeAKYqW1gT0Q7ed0tETkb+J6qXuH9vxg4VFWvC8t3FXAVQF5e3kETJkzocFnbmpIaZUtReZO5HsNpUCUpBrdBIlBWVkZOTmy1y0QnXBd1DUqS0GWehXB29Wejpl5JTWrZBaiqLeYpr1W0unyX1oefY489dpaqjtvZ48RFH1osqOqjwKMA48aN0/Hjx3euQG1Efn4+iXItbYHpoxHTRSimj1BMH03p9D40YD0wxPd/sLfNMAzDMGImHgzaDGBPEdlNRNKA84C3O1kmwzAMYxej012OqlonItcBH+LC9v+rqgs7WSzDMAxjF6PTDRqAqk4EJna2HIZhGMauSzy4HA3DMAxjpzGDZhiGYSQEnT4ObUcQkS3A6s6Wo43oA2ztbCHiCNNHI6aLUEwfoSSSPoapauRpjlrBLmnQEgkRmdkWAwoTBdNHI6aLUEwfoZg+mmIuR8MwDCMhMINmGIZhJARm0DqfRztbgDjD9NGI6SIU00copo8wrA/NMAzDSAishWYYhmEkBGbQDMMwjITADFoHIyK9RORjEVnqffdsJm83EVknIg90pIwdSSz6EJExIjJVRBaKyDwRObczZG0vROR7IrJERJaJyO8jpKeLyEte+nQRGd4JYnYYMejjlyKyyHsWPhWRYZ0hZ0fRkj58+X4oIioiXTaU3wxax/N74FNV3RP41Psfjb8CkztEqs4jFn1UAD9W1dHA94D7RaRHx4nYfohIMvAf4GRgFHC+iIwKy3Y5sF1VRwD3AX/rWCk7jhj1MQcYp6r7A68Cf+9YKTuOGPWBiOQC1wPTO1bC+MIMWsdzBvC09/tp4AeRMonIQUAe8FHHiNVptKgPVf1WVZd6vzcAm4GdnlUgTjgEWKaqK1S1BpiA04kfv45eBY6XlpY03nVpUR+qOklVK7y/03BrKCYqsTwf4Cq/fwOqOlK4eMMMWseTp6oF3u+NOKMVgogkAfcAv+5IwTqJFvXhR0QOAdKA5e0tWAcxCFjr+7/O2xYxj6rWAcVA7w6RruOJRR9+Lgfeb1eJOpcW9SEiBwJDVPW9jhQsHomL5WMSDRH5BOgfIemP/j+qqiISadzEtcBEVV2XCBXxNtBH4DgDgGeBS1S1oW2lNHY1ROQiYBxwTGfL0ll4ld97gUs7WZS4wAxaO6CqJ0RLE5FNIjJAVQu8AnpzhGyHA0eLyLVADpAmImWq2lx/W9zSBvpARLoB7wF/VNVp7SRqZ7AeGOL7P9jbFinPOhFJAboD2zpGvA4nFn0gIifgKkTHqGp1B8nWGbSkj1xgXyDfq/z2B94WkdNVdWaHSRknmMux43kbuMT7fQnwVngGVb1QVYeq6nCc2/GZXdWYxUCL+hCRNOANnB5e7UDZOoIZwJ4ispt3nefhdOLHr6Ozgc80cWdEaFEfIjIWeAQ4XVUjVoASiGb1oarFqtpHVYd75cU0nF66nDEDM2idwV3AiSKyFDjB+4+IjBORxztVss4hFn2cA3wHuFRE5nqfMZ0ibRvj9YldB3wILAZeVtWFInKriJzuZXsC6C0iy4Bf0nxk7C5NjPr4B85z8Yr3LIRXABKGGPVheNjUV4ZhGEZCYC00wzAMIyEwg2YYhmEkBGbQDMMwjITADJphGIaREJhBMwzDMBICM2iGYRhGQmAGzTAMw0gIzKAZRhwhIqeLyGth234qIv/uLJkMY1fBDJphxBe3A38J27YcGNkJshjGLoUZNMOIE0TkACBJVReIyDAR+amXlArYlD6G0QJm0AwjfhgDzPJ+nwjs6f0eBXzdGQIZxq6EGTTDiB+SgBwRSQbOAnJFJBO31tULnSmYYewKmEEzjPhhIrA7MBd4GBgNzAQeVdXZnSiXYewS2Gz7hmEYRkJgLTTDMAwjITCDZhiGYSQEZtAMwzCMhMAMmmEYhpEQmEEzDMMwEgIzaIZhGEZCYAbNMAzDSAj+H3fJPPTJKAIdAAAAAElFTkSuQmCC\n", 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