LennartNaeve_code/spilling_code/diagonalisation_clean/2025_04_03 (calculate sensibilities).ipynb
2025-04-25 20:52:11 +02:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"from IPython.display import Math, display\n",
"import numpy as np\n",
"import sympy as sp\n",
"from scipy import constants as const\n",
"from tqdm import tqdm\n",
"\n",
"#add relative path to backend\n",
"import sys\n",
"sys.path.append('../../clean_diag/backend')\n",
"\n",
"import trap_units as si\n",
"from twod_trap import PancakeTrap\n",
"\n",
"from spilling_helpers import *"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Do power and gradient sweeps at different total gradients (determines power) for 1064nm"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"88.334 Hz\n",
"0.565995292411779 uK\n"
]
},
{
"data": {
"text/latex": [
"$\\displaystyle \\frac{\\omega_{t r}}{\\omega_{t ax}} \\approx 9.02$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"initial_power = 100 * si.uW \n",
"initial_grad = -2.5 * si.G/si.cm\n",
"\n",
"trap: PancakeTrap = PancakeTrap(\n",
" power=0, # Set pancake laser power to 0, no 2D trap\n",
" grad_z= initial_grad,\n",
" grad_r=0,\n",
" power_tweezer= initial_power,\n",
" waist_tweezer= 2.16 * si.um,\n",
"\n",
" m= 161 * const.value(\"atomic mass constant\"),\n",
" mu_b= 9.93 * const.value(\"Bohr magneton\" ),\n",
" a=184.4*(4 * np.pi * const.epsilon_0 * const.value(\"Bohr radius\")**3)/(2 * const.epsilon_0 * const.c),\n",
"\n",
" wvl = 1064 * si.nm,\n",
")\n",
"axial_width = trap.get_tweezer_rayleigh()\n",
"zr = float(trap.subs(trap.get_tweezer_rayleigh()))\n",
"\n",
"x, y, z = trap.x, trap.y, trap.z\n",
"\n",
"print(f\"{float(trap.subs(trap.get_omega_ax_tweezer()))/2/np.pi:.3f} Hz\")\n",
"print(f\"{trap.subs(trap.a *2*trap.power_tweezer/(np.pi*trap.waist_tweezer**2)/ const.k) /si.uK} uK\")\n",
"\n",
"aspect_ratio = trap.get_omega_r_tweezer() / trap.get_omega_ax_tweezer()\n",
"_aspect_ratio_latex = sp.latex(trap.omega_r_tweezer / trap.omega_ax_tweezer)\n",
"display(Math(f\"{_aspect_ratio_latex} \\\\approx {trap.subs(aspect_ratio).evalf():.2f}\"))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 250x250 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_solutions(trap,150,-0.*zr,1.1*zr,n_pot_steps=200,display_plot=-2,state_mult=1e3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Find appropriate step sizes for the spilling sweep:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.833333333333353"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"powers, atom_number = sweep_power_old(trap, -2.5*si.G/si.cm, 0.15*si.uW, 100, -0.*zr, 1.1*zr,max_spill_steps=200)\n",
"calculate_stepsize(powers,atom_number,plot=True)/si.uW"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6.649999999999968"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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bqzPTLWGH8AEA8KvJP6zXpj2HVDchWqP+wnRLOCJ8AAD8ZsMfBzX5yOXTH/lrW8XHRNpcEexA+AAA+IXbYzT24+XKd3t03pm1dUn7enaXBJsQPgAAfvHy3PVasHGvYqOceuLytiV3qkX4IXwAAHwufet+TZi9VlLRTeMa1YyzuSLYifABAPCpg3mFGjltqQo9RgM71NfVXZPsLgk2I3wAAHxq6o8btHnPIZ1RrYqevqI90y0gfAAAfOdQfqHemr9JkvTgJa2VGMvZLSB8AAB8aPqirdp/qECNasbq4nac3YIihA8AgE9s3OzRv9/Yp0JXjIae21ROB9MtKBJhdwEAgNCTmioNHWbJeLpIltHBTkbqaXdVCBSMfAAAvCozUxo2zMh4jox0GEt33elQZqa9dSFwED4AAF6TmSmlvlkgj6fsFIvbLWVk2FQUAg7TLgCA05aZKU2aJP17vJHxREoykv4MIE6n1Ly5beUhwBA+AACVlpkprVsntWhR9HzdOmnxYqPRoyVjLP0ZOCwVBxCnU5oyRUri2mI4gvABADih4pGN8eMlj0eyLCOpOHBIpUc5/mRpwgTp6qsJHiiL8AEAOK7UVGnoUFMqaKjM1xUHj6KpFoIHKsKCUwBAhdweo2nf/1EueFQGUy04HkY+AABl5BW69WFapib/sF4Z6bEypnalv9fhkEaNkkaOJHjg2AgfAIASn6Zv07Nfrdb27FxJUo0GTu2yyo98WFbRw+MpGuVISZG6dy86o4XQgRMhfAAAZIzRf7/L0PjZayVJdROi9Y/zm+n6sxrqf20sDR9edK2O0iMbUtG1OwgcOFmEDwAIc26P0WMzV+rtXzdLku44v5nu7ddCMZFOSdKQIVL//hUHDUIHTgXhAwDCmMdjdP8Hy/Tx0m2yLGncZW11S6/G5dolJRE04D2EDwAIU8YYPfTJcn28dJsiHJYmXt9Jf+3QwO6yEAY41RYAwpAxRo9/vkrvLdwqhyVNuI7gAf8hfABAGHr71816/ZdNkqTnru6oSzsSPOA/hA8ACDPLtu7XE5+vkiQ9eEkrXd2VxRzwL8IHAISR7EMFGvHuEhW4jS5uW09Dz21qd0kIQ4QPAAgTxhjd/+EyZe47rIY1YvXcNR1kWSd32XTAGwgfABAmvlyepVmrdirK6dBLN3ZRQkyk3SUhTBE+ACAMuHILNO6zlZKkO/o0U7szEm2uCOGM8AEAYeDf36zRrgN5alIrTnf2aWZ3OQhzhA8ACHHLtu7XW0cunf7E5e1KLpsO2IXwAQAhrNDt0YMzlssY6YpODXROi1p2lwQQPgAglL01f7NWbncpISZCDw1sY3c5gCTCBwCErB3Zh/XvWWskSWMGtFbt+GibKwKKED4AIESNm7lKOfludWlYTdd3T7a7HKAE4QMAQtC3v+/U1yuz5HRYeurK9nI4uJgYAgfhAwBCzKH8Qj3yadE1Pf5+ThO1rp9gc0VAWYQPAAgxk+as07b9h3VGtSoa2a+F3eUA5RA+ACCE/L7DpVd/3ihJevzytoqNirC5IqA8wgcAhIjia3q4PUb929ZV39Z17S4JqBDhAwBCxL9mrdHSLftVNTpCj13W1u5ygGMifABACJi9aqemzN0gSXru6g6qn1jF5oqAYyN8AECQ27LnkP7f++mSpNvPbqJL2te3tyDgBHwSPrZt26abbrpJNWvWVGxsrDp16qS0tDRf7AoAwlZmpvTOx4d01fNL5cotVOeG1TRmQCu7ywJOyOvLoPft26ezzz5bF1xwgb766ivVqVNH69evV7Vq1by9KwAIO5mZ0rp1UlqaNHq0kccTK1m91fLqNXppbCNFRTCgjcDn9fDx7LPPKjk5Wa+//nrJtsaNG3t7NwAQNsoGDsnjkSQj6chVS42ljI9byj3ekhJtLBSoJK9H5JkzZ6pbt2665pprVKdOHXXu3FmvvPLKMdvn5eXJ5XKVeQAAikLH/fdLjRpJF14o3X+/ORI8pJLgcYTbbSkjw+8lAqfE6+Fjw4YNmjx5slq0aKFvvvlGd9xxh+655x699dZbFbZPSUlRYmJiySM5mZsfAQhfmZnS999LT6YUKrmh0fPP65iBozSnU2re3C8lAqfNMsYYb75hVFSUunXrpnnz5pVsu+eee7Ro0SLNnz+/XPu8vDzl5eWVPHe5XEpOTlZ2drYSErgfAYDw8d/JhRp5l1PGY6nMtMoJOJ3SlCnSkCE+LQ84LpfLpcTExEp9fnt9zUf9+vXVpk2bMttat26tjz76qML20dHRio6O9nYZABA0Vm7P1sRPMvXqXW0kUxw4jh88nE4pJUXq3r1oxCMpyfd1At7i9fBx9tlna82aNWW2rV27Vo0aNfL2rgAgqG3bf1j//maNZqRv0+FNNUsFj4oROBAqvB4+7rvvPvXu3VtPP/20rr32Wi1cuFBTp07V1KlTvb0rAAhKxhi9MW+TUr5arfzCogUdA86uqrfeN/J4ygcQh0MaNUoaOZLAgdDg9fDRvXt3zZgxQ2PHjtXjjz+uJk2aaOLEibrxxhu9vSsACDrZhws0+sPf9PXKLElSjyY19NDA1uqQVE3nVJGGD5fcbkY5ENq8vuD0dJ3MghUACCZb9x7STakLtHnPIUU6LT10SWsN7t1YlvXnaEdmppSRQeBA8LF1wSkAoLzNe3I0aOqv2p6dq6TqVfTiDV3UMblauXZJSYQOhD7CBwD42KbdORr0yq/akZ2rprXjNG1oT9VJiLG7LMA2hA8A8KG9Ofm6KXWBdmTnqnmdqnp3aA/ViSd4ILwRPgDARwrcHt35vzRl7jusRjVj9d7Qnqodz3WNAG5/CAA+8sTnq/Trhr2Ki3Lq1Vu6ETyAIwgfAOADHyzeqrfmb5YkTby+s1rUjbe5IiBwED4AwMs27s7RozNXSpLu63em/tKmrs0VAYGF8AEAXlTg9ujeaUt1KN+tnk1r6K4LudUscDTCBwB40YTZa7UsM1uJVSI14bpOcjoqd2daIJwQPgDAS75ekaXJc9dLkp65qr3qJ1axuSIgMBE+AMALFm3aq3umLZUx0s09G2lA+/p2lwQELMIHAJymtTsPaMgbi5Rf6NFf2tTVo5e2sbskIKARPgDgNBhjdOf/lsiVW6iujarrv4M6K8LJoRU4Hv5CAOA0LNi4Vxm7DpZcSCwm0ml3SUDAI3wAwGl4f/FWSdKlHRuoelyUzdUAwYHwAQCnyJVboC+X75AkXds92eZqgOBB+ACAU/T5sh3KLfCoeZ2q6pxcze5ygKBB+ACAUzT9yJTLdd2SZVlcTAyoLMIHAJyCNVkHtGzrfkU4LF3Z5Qy7ywGCCuEDAE6Sx2P0/Kw1kqS+reuoVtVomysCggvhAwBO0vjZazV71U5FOR0acQE3jgNOFuEDAE7Cp+nb9ML3GZKklKvaq0NSNXsLAoJQhN0FAECgy8yU1q2Tdll/6J9zfpMkDT+/qf7WNcnmyoDgRPgAgONITZWGDZM8HklWLdXof4b+NihfD/RvZXdpQNAifABAKcWjHFWrShs3SsOGGXk8R06jNZb2zWqvsS8bOR2cWgucKsIHgLBXHDjS0qTRo4+McshIso48/mQ8ljZvtNSkkQ2FAiGC8AEgLJUNHMWjG8WBQzo6dBRzOqXmnOACnBbCB4CwkpkpTZokjR9f+cBRzOmUpkyRklhnCpwWwgeAsDHxxQLdd3eEZEpPp5x47YbDIU2bJvXqRfAAvIHwASDkrdiWrUmfZurVu9scCR6VVzzacc01PioOCEOEDwAhK/tQgZ79ZrXeW7hFhzfVPGHwcDqllBSpe3cpLk7KySla38FoB+BdhA8AIenrFVl6aMZy7cnJlyRd3DtOb79f6rTZI0oHDoIG4B+EDwAhxeMxmvTtOk36dp0kqXmdqnryinbq2bSmzo2Vhg+X3O6idRyjRkkjRxI4AH8jfAAIGYfz3Rr1frq+WpElSbr97CYaM6CVoiKKbmM1ZIjUv7+UkcEoB2AnwgeAkJBX6Nbwd9L049o/FOV06Mkr2+nabsnl2iUlEToAuxE+AAS9QrdH905L149r/1CVSKfeuK27ejStaXdZAI7BYXcBAHA6jDEa8/FyfbUiS1FOh165pRvBAwhwhA8AQS315436MC1TToel/97QWee0qGV3SQBOgPABIGgt3rRXz3y1WpL0z4Gt1b9tPZsrAlAZhA8AQWn3wTyNeHeJCj1Gl3ZsoMG9G9tdEoBKInwACDrGGI16f5l2uvLUvE5VPXNVe1nWyV02HYB9CB8Ags4HaZn6ce0fio5waPKNXRQXzYl7QDAhfAAIKjtduXri81WSpFF/OVMt6sbbXBGAk0X4ABA0jDF6aMYKHcgtVIekRA05p4ndJQE4BYQPAEHjs992aM7vOxXptPTc1R0U4eQQBgQj/nIBBIU9B/P02MyVkqQRFzRXq3oJNlcE4FQRPgAEhXGfrdLenHy1qhevO/s0t7scAKeB8AEg4M1etVMzl22Xw5Keu7pDyV1qAQQn/oIBBLTsQwV6+JPlkqSh5zVVh6Rq9hYE4LQRPgAEtEdnrtBOV56a1orTff3OtLscAF5A+AAQsL5avkOfpBdNtzx/bUfFRDrtLgmAFxA+AASkPw7k6cEZRdMtd/Zpri4Nq9tcEQBvIXwACDhuj9H9Hy7TvkMFalM/Qff0bWF3SQC8iPABIOA8+cUq/bCm6N4t46/ryNktQIjhLxpAQHlr/ia9/ssmSdL4aztxMTEgBHErSAC2y8yU1q2TMnJ3KOXHoquY3t+/pQZ2qG9zZQB8wecjHykpKbIsS/fee6+vdwUgCKWmSo0aGV14oTRsYD1lpyfrmq5JurNPM7tLA+AjPg0fixYt0tSpU9WhQwdf7gZAkMrMlIYNM/J4rKINxtK+We11V48OsizL3uIA+IzPwsfBgwd144036pVXXlH16pwiB4SzzEzp+++lRYuK/s3MLHpMfSP/z+BxhPFY2riB4AGEMp+t+RgxYoQGDhyofv366cknnzxmu7y8POXl5ZU8d7lcvioJgB8Vr+NIS5NGj5Y8nj9fsywjSTImSpKR9GfYcDql5tw3DghpPgkf06ZN05IlS7Ro0aITtk1JSdG4ceN8UQYAPysbOIqnU8qGC0kypvTzP9s4ndKUKVJSkv9qBuB/Xg8fW7du1ciRIzVr1izFxMScsP3YsWM1atSokucul0vJycneLguAj6Wmll6/UTpwVGYKxdKECdLVVxM8gHBgGWOMN9/wk08+0ZVXXimn8897MLjdblmWJYfDoby8vDKvHc3lcikxMVHZ2dlKSOD8fiAYfJ92QH27Vz1qRKPynE5p0yaCBxDMTubz2+sjH3379tXy5cvLbLvtttvUqlUrjR49+rjBA0Bwydh1UM9/s0affFkgY3pW+vssq+jh8YipFiAMeT18xMfHq127dmW2xcXFqWbNmuW2AwhOB3IL9OzXq/Xugi3yGCmqRowsy1Q48uF0SikpUvfuUlyclJPz54LSjIyirwkeQHjhCqcATsq8jN26/8PftG3/YUnSRW3q6v/6t9RPXSwNHy653WUDx/HCBaEDCE9eX/NxuljzAQSuV3/aoCe/+F2SlFyjip77W0f1alaz5PXMTEYzgHBl65oPAKHp53W79dSXRcHjhh4N9dAlrRUXXfYQkpRE6ABwYoQPACeUlZ2rkdOWyhjp+u7JevrK9naXBCCI+fzGcgCCW4HboxHvLtGenHy1qZ+gxy5ra3dJAIIc4QPAMRW4PbrnvaVK27xP8TERmnxTF8VEcro8gNND+ABQoQK3RyOnLdVXK7IU5XTov4M6q1HNOLvLAhACCB8AyvF4jO6bnq4vlxcFjyk3d1WflnXsLgtAiCB8ACgn9eeN+vy3HYp0Wnr55i66oBXBA4D3ED4AlLFs6349+/VqSdKjl7bVha3q2lwRgFBD+ABQwpVboLveW6JCj9El7evpxh4N7S4JQAgifAAo8c9PVmjr3sNKql5FKVd1kGWd2l1qAeB4CB8AJElfr8jSp+nb5XRY+s+gzkqsEml3SQBCFOEDgPbm5OvhT5ZLkoaf11RdGla3uSIAoYzwAUCPzlyp3QfzdWbdqhrZr4Xd5QAIcYQPIMx9tXyHPltWNN3y/DUdFR3BFUwB+BbhAwhjew7m6eFPVkiS/nF+M3VIqmZvQQDCAuEDCGOPzFypPTn5alk3Xnf3bW53OQDCBOEDCFNfLt+hL37bwXQLAL8jfABhaKcrV/88Mt1yZ59map+UaHNFAMIJ4QMIM4Vuj+5+b6n25OSrdf0E3X0hZ7cA8C/CBxBmnp+1Vgs37lXV6Ai9dGMXRUVwGADgXxx1gDAye9VOvTx3vSTpuas7qEmtOJsrAhCOIuwuAIDvZWZKM37I1oSFq6RY6dbejXVJ+/p2lwUgTBE+gBCXmioNG2bk8SRKVh+dfesmPXhJI7vLAhDGmHYBQlRmpjR9utHQoUYez5G70xpLv77VWLuy+NMHYB9GPoAQkJkprVsnVa0qHTwopaVJo0eXCh2luN2WMjKkpCQbCgUAET6AoFIcMlocOTt23brioCF5PJJkJFml/i3P6ZSaczFTADYifAABrjhwlA4ZlmUkScYcHTSO/rcsp1OaMoVRDwD2InwAASozU5o0SRo//uhRjeLQUazioFGawyFNmyb16kXwAGA/wgcQgFJTpaFDzUmHjIoUj3Zcc413agOA00X4AALM7xkFGjos4qjgcXKcTiklRerevWh9B6MdAAIJ4QMIELkFbr08d70mvZUt4+l+3LaWVfTweMoGjbg4KSeHwAEgsBE+gADwS8ZuPfzJCm3cnaPCqjGSZaSjRj6OHs2QpIwMggaA4EP4AGyUX+jRU1+s0pvzN0uS6sRH65+DWiurs/SPf0hud9Fi0VGjpJEjy4cMQgeAYET4AGyy60CuRvxviRZt2idJuqVXI/1f/5ZKiImUOkoDBjCyASA0ET4AG6za7tJtbyzUTlee4qMjNOG6TurXpm6ZNklJhA4AoYnwAfhZ2ua9uu31RXLlFqpZ7ThNvaWbmtWuandZAOA3hA/Aj+au/UN3vJ2mwwVudW1UXa/d2l2JVSLtLgsA/IrwAfjJl8t3aOS0pSpwG51/Zm1NvqmLYqP4EwQQfjjyAX4wfdEWjf14uTxGGtihviZc20lREdzWHkB4InwAPvZhWqZGf7RckjTorGQ9eUV7OR2nfvVSAAh2hA/Ahzweo4lz1kqShpzTRA8PbC3LIngACG+M+wI+NH/DHmXuO6z4mAjd378lwQMARPgAfOr9xVslSZd1bKCYSKfN1QBAYCB8AD6SfahAX63IkiRd1z3Z5moAIHAQPgAfmfnbduUXetSqXrzan5FodzkAEDAIH4CPfHBkyuWabsms9QCAUggfgA+kbd6n3zKzFem0dGXnM+wuBwACCuED8LKNu3M0/O3FkqSB7eurRlyUzRUBQGAhfABetNOVq5tTF2j3wXy1qZ+gx69oZ3dJABBwCB+AlxzMK9Tg1xYqc99hNa4ZqzdvP0sJMdw0DgCORvgAvMDjMfp/76drddYB1Y6P1ttDeqh2fLTdZQFAQCJ8AF7w4vcZ+mblTkU5HZpyc1cl14i1uyQACFiED+A0zVm1U+OP3L/l8cvbqkvD6jZXBACBjfABnIbFm/bqrveWyBjppp4Ndf1ZDe0uCQACHuEDOEW/73Dp9jcWKbfAoz4ta+uRv7a1uyQACAoRdhcABJPMTGndOslKPKD/+3KhXLmF6taouibf2FVREWR5AKgMrx8tU1JS1L17d8XHx6tOnTq64oortGbNGm/vBvC71FSpUSPpwgulC7pV1cZf6qh1/QSl3tpdVaK4Yy0AVJbXw8fcuXM1YsQI/frrr5o9e7YKCwt10UUXKScnx9u7AnwqM1P6/ntp0SLp/felYcOMPJ4jLxpL+2a1178G9FBiFa7lAQAnw+vTLl9//XWZ56+//rrq1KmjtLQ0nXfeed7eHXDaiqdSWrQoer5unZSWJo0erSNhw0iyjjz+ZDyWdm+Pks70c8EAEOR8vuYjOztbklSjRo0KX8/Ly1NeXl7Jc5fL5euSEMaODhqTJknjxxeFDMsykiRjLP0ZOKSjQ0cxp1Nq3tznJQNAyPFp+DDGaNSoUTrnnHPUrl3F97hISUnRuHHjfFkGwlxx4CgazTDyeCxZlpExUulgURQ6ilUcOIo5ndKUKVJSkk9KBoCQZhlTdAj2hREjRuiLL77Qzz//rKRjHKUrGvlITk5Wdna2EhISfFUaQlxFgaPsaMapcTikadOkXr0IHgBQmsvlUmJiYqU+v3028nH33Xdr5syZ+vHHH48ZPCQpOjpa0dHcAwPek5pavDi0ctMnlVU82nHNNadbIQCEN6+HD2OM7r77bs2YMUM//PCDmjRp4u1dAMf07WKXhg6NLzWFUvnAYVlFD4+nKGikpEjdu0txcVJOTtH6DkY7AOD0eT18jBgxQu+++64+/fRTxcfHKysrS5KUmJioKlWqeHt3gCRp2/7Deu7r1Zr+aZ6M6XnC9qWDhsMhjRoljRxZ9FpGBkEDAHzJ62s+LKvi/9N8/fXXdeutt57w+09mzggocHs0+Yf1evH7DOUVeuQ+EKNtky88avFokdKjGcVnqRA0AMA7bF3z4cP1q0AZm3bn6N7p6Urful+SdFaTGnrkr220oIul4cMlt7t84Dg6ZBA6AMD/uLcLgtKn6ds09uPlOpTvVnxMhJ64vJ0u79RAlmWp3RCpf39GNQAgUBE+EFQ8HqMJc9bqv99lSJJ6NKmh8dd10hnVyq4nSkoidABAoCJ8IGgcznfr/32Qri+XFy1iHn5eUz1wcSs5Had3Ci0AwL8IHwgKWdm5GvrWYi3flq1Ip6Wnrmyva7sl210WAOAUED4Q8NK37tfwtxdrpytP1WMjNeXmbjqrScX3CgIABD7CBwKSMUa/btirV37aoO9W75IktahTVamDu6thzVibqwMAnA7CBwLSqz9t1FNf/i6p6GJgl3ZooCevbKeEmEibKwMAnC7CBwLSOws2S5Ku7HyG7unbQk1qxdlcEQDAWwgfCDgbd+do855DinRaeuKKdqoaza8pAIQSh90FAEebu6ZojUe3RjUIHgAQgggfCDhz1/4hSTq/ZW2bKwEA+ALhAwElt8Ct+Rv2SJL6ED4AICQRPhBQFm3aq9wCj+omRKtl3Xi7ywEA+ADhAwFl7pojUy5n1pZlcdl0AAhFhA8ElB+K13ucWcfmSgAAvkL4QMDYuveQMnYdlNNh6ZwWtewuBwDgI4QPBISs7FwNeztNktS1YXUlVuFKpgAQqriIAmy3ducB3fraQm3PzlWtqlF69LI2dpcEAPAhwgdstXTLPg1+baFcuYVqWjtOb952lpJrcOM4AAhlhA/Y5tcNezTkjUXKyXerS8NqSh3cXdXjouwuCwDgY4QP2OL7Nbv0j3fSlFvgUe9mNfXq4G6KjeLXEQDCAUd7+JUxRlN+3KDnvl4tj5EuaFlbk2/qqphIp92lAQD8hPABn8vMlNatk+omFeilRcv1+W87JEnXdUvWE1e0U1QEJ10BQDghfMAnigNHWpo0erSRx2NJVoRq9I9Q9c6WHr2srW7q0ZCrmAJAGCJ84KQUh4qqVaWDB6UWLYq2r1v359eTJknjx0sejyQZSUcChrG095v2evORZP21Z3UbqgcABALCB0oUB4uKAsWfoxjFoaJI0cCFkTGWLMvIGKkkbOjoryUZS1XzCB4AEM4IH2Hq6KBRerTCsowkyRhLsoys4q9Lj2IcUTpsFLU5PqdTat7ca90AAAQhwkcYKbsO48+gcfRoRZkQYSyZkientz7D6ZSmTJGSkk7rbQAAQY7wESZSU6Vhw44s/Cw1glGZ0YrT4XRKKSlS9+5FIx4EDwAA4SNEFbo9Wp11QOlb9+un9BxNvbO1VBI0vBc4LKvoUTSK8ufXDoc0apQ0ciSBAwBQFuEjBBW6PbrhlQVauGmvJCl3c81SwePEjhUoSo9ixMVJOTl/rt/IyCj/NaEDAFARwkcI+jR9uxZu2qvoCIfOalJDjdrVUsr7xVMuZR1rtEI6uUBRejuhAwBwPISPEFPo9uiF7zMkSff2O1P/6NNMktQkTxo+XHK7y6/DkCoOFwQKAIAvED5CzGe/bdfG3TmqHhupW3o1Ktk+ZIjUv/+xRzAIFwAAfyF8hBC3x+i/3xaNegw9r6niosv+eJOSCBkAAPsRPoJcgdujOat2asPuHK3a7tKG3TmqFhupW3o1trs0AAAqRPgIUsYYzVq1U89+tVobdueUeW3ouU1VNZofLQAgMPEJFYSysnM16v10zVu/R5JUMy5KF7SqowaJMWpUM06XdWpgc4UAABwb4SPIzF37h+6bnq69OfmKjnBo6LlNNfz8poqPibS7NAAAKoXwESQK3R6Nn71WL/2wXpLUpn6CXryxi5rUirO5MgAATg7hIwjsyD6se95bqkWb9kmSbu7ZSA8NbK2YSKfNlQEAcPIIHwHu+zW7NGp6uvYdKlDV6Ag987f2+msH1nQAAIIX4SNAFbo9+vfstZp8ZJqlbYMEvXhDFzVmmgUAEOQIHwFo854cjXp/mdI2F02z3NKrkR68hGkWAEBoIHz4WE5eob5akaXzz6yt2vHRx23r8Rj9b8FmPf3lah0ucCs+OkLPXt1Bl7Sv76dqAQDwPcKHj70xb5P+9c0a1aoarUnXd9LZzWuVa2OM0S8Ze/Tv2Wu0dMt+SVLPpjX0r6s7KrlGrJ8rBgDAtwgfPrZs635J0u6DebopdYGGnttUfc6srWZ1quqPA3lauHGvvl6RpYWb9kqSYiIdGn1xKw3u1VgOh2Vj5QAA+Abhw8dWZx2QJJ3VpIYWbtyrqT9u0NQfN5RrF+V06IYeDXXnBc1UJz7G32UCAOA3hA8fOphXqC17D0mSptzUVfM37NHHS7Zp/R8HtXlPjmKjItStcXX1aFJTV3RuoPqJVWyuGAAA3yN8+NCaLJckqV5CjKrHRemS9vVLFo/mF3rkdFhyMrUCAAgzhA8f+n1H0ZRLq/rx5V6LinD4uxwAAAICn4A+tPrIyEeregk2VwIAQOAgfPjQ6iMjH60rGPkAACBcET58xBhTcqYLIx8AAPyJ8OEjmfsO62BeoSKdlprW5n4sAAAUI3z4SPGoR/M68Yp08p8ZAIBiPvtUfOmll9SkSRPFxMSoa9eu+umnn3y1q4C0ekfRYlPWewAAUJZPwsf06dN177336qGHHtLSpUt17rnnasCAAdqyZYsvdheQikc+WrPeAwCAMnwSPsaPH68hQ4bo73//u1q3bq2JEycqOTlZkydP9sXuAtLvxafZMvIBAEAZXr/IWH5+vtLS0jRmzJgy2y+66CLNmzevXPu8vDzl5eWVPHe5XN4uSZJU6PboqS9/98l7H80YadPuHEmc6QIAwNG8Hj52794tt9utunXrltlet25dZWVllWufkpKicePGebuMcjxGev2XTT7fT2n1EmJUOz7ar/sEACDQ+ezy6pZV9p4lxphy2yRp7NixGjVqVMlzl8ul5ORkr9fjsKQRFzTz+vseT9/WdU/cCACAMOP18FGrVi05nc5yoxy7du0qNxoiSdHR0YqO9v3oQITTofv7t/L5fgAAwPF5fcFpVFSUunbtqtmzZ5fZPnv2bPXu3dvbuwMAAEHGJ9Muo0aN0s0336xu3bqpV69emjp1qrZs2aI77rjDF7sDAABBxCfh47rrrtOePXv0+OOPa8eOHWrXrp2+/PJLNWrUyBe7AwAAQcQyxhi7iyjN5XIpMTFR2dnZSkjgNFUAAILByXx+c9MRAADgV4QPAADgV4QPAADgV4QPAADgV4QPAADgV4QPAADgV4QPAADgV4QPAADgV4QPAADgVz65vPrpKL7gqsvlsrkSAABQWcWf25W5cHrAhY8DBw5IkpKTk22uBAAAnKwDBw4oMTHxuG0C7t4uHo9H27dvV3x8vCzLsruck+ZyuZScnKytW7eG7L1pQr2Pod4/KfT7GOr9k0K/j6HePyn0+miM0YEDB9SgQQM5HMdf1RFwIx8Oh0NJSUl2l3HaEhISQuKX6XhCvY+h3j8p9PsY6v2TQr+Pod4/KbT6eKIRj2IsOAUAAH5F+AAAAH5F+PCy6OhoPfroo4qOjra7FJ8J9T6Gev+k0O9jqPdPCv0+hnr/pPDo47EE3IJTAAAQ2hj5AAAAfkX4AAAAfkX4AAAAfkX4AAAAfhVW4eOll15SkyZNFBMTo65du+qnn346bvu5c+eqa9euiomJUdOmTfXyyy+Xa/PRRx+pTZs2io6OVps2bTRjxowyr0+ePFkdOnQouYhMr1699NVXX5W8XlBQoNGjR6t9+/aKi4tTgwYNdMstt2j79u0lbfbu3au7775bLVu2VGxsrBo2bKh77rlH2dnZIdPH0owxGjBggCzL0ieffBJS/Zs/f74uvPBCxcXFqVq1aurTp48OHz4cMn3MysrSzTffrHr16ikuLk5dunTRhx9+GPD9k6THHntMrVq1UlxcnKpXr65+/fppwYIFZdrk5eXp7rvvVq1atRQXF6fLLrtMmZmZ5eoJ1j5W9lgTrP0r7XjHmVDoY2WONbYyYWLatGkmMjLSvPLKK2bVqlVm5MiRJi4uzmzevLnC9hs2bDCxsbFm5MiRZtWqVeaVV14xkZGR5sMPPyxpM2/ePON0Os3TTz9tfv/9d/P000+biIgI8+uvv5a0mTlzpvniiy/MmjVrzJo1a8yDDz5oIiMjzYoVK4wxxuzfv9/069fPTJ8+3axevdrMnz/f9OjRw3Tt2rXkPZYvX26uuuoqM3PmTJORkWG+/fZb06JFC/O3v/0tZPpY2vjx482AAQOMJDNjxoyQ6d+8efNMQkKCSUlJMStWrDBr1641H3zwgcnNzQ2ZPvbr1890797dLFiwwKxfv9488cQTxuFwmCVLlgR0/4wx5n//+5+ZPXu2Wb9+vVmxYoUZMmSISUhIMLt27Sppc8cdd5gzzjjDzJ492yxZssRccMEFpmPHjqawsDDgf4aV6WNljjXB3L/SjnWcCYU+VuZYY7ewCR9nnXWWueOOO8psa9WqlRkzZkyF7R944AHTqlWrMtuGDx9uevbsWfL82muvNRdffHGZNv379zfXX3/9cWupXr26efXVV4/5+sKFC42kY/6iG2PM+++/b6KiokxBQUHJtlDoY3p6uklKSjI7duwod1AI9v716NHDPPzww8d932DvY1xcnHnrrbfKtKtRo0bJ+wRT/7Kzs40kM2fOHGNMUQCLjIw006ZNK2mzbds243A4zNdff12yLZj7WJGjjzWh0L/jHWeMCf4+VuZYY7ewmHbJz89XWlqaLrroojLbL7roIs2bN6/C75k/f3659v3799fixYtVUFBw3DbHek+3261p06YpJydHvXr1Oma92dnZsixL1apVO26bhIQERUREhEwfDx06pEGDBumFF15QvXr1yrQP9v7t2rVLCxYsUJ06ddS7d2/VrVtX559/vn7++eeQ6aMknXPOOZo+fbr27t0rj8ejadOmKS8vT3369Amq/uXn52vq1KlKTExUx44dJUlpaWkqKCgos68GDRqoXbt2JfsK9j5WpPSxJhT6d7zjTPH3BXMfK3OsCQQBd2M5X9i9e7fcbrfq1q1bZnvdunWVlZVV4fdkZWVV2L6wsFC7d+9W/fr1j9nm6Pdcvny5evXqpdzcXFWtWlUzZsxQmzZtKtxvbm6uxowZoxtuuOGYNxras2ePnnjiCQ0fPjyk+njfffepd+/euvzyy8t9T7D3b8OGDZKK5muff/55derUSW+99Zb69u2rFStWqEWLFkHfR0maPn26rrvuOtWsWVMRERGKjY3VjBkz1KxZM23fvj3g+/f555/r+uuv16FDh1S/fn3Nnj1btWrVKqklKipK1atXP+a+guFneLw+Hu3oY00o9O94x5lQ6GNljjWBICxGPopZllXmuTGm3LYTtT96e2Xes2XLlkpPT9evv/6qf/zjHxo8eLBWrVpVbn8FBQW6/vrr5fF49NJLL1VYk8vl0sCBA9WmTRs9+uijIdPHmTNn6rvvvtPEiROPWWsw98/j8UiShg8frttuu02dO3fWhAkT1LJlS7322msh0UdJevjhh7Vv3z7NmTNHixcv1qhRo3TNNddo+fLlQdG/Cy64QOnp6Zo3b54uvvhiXXvttdq1a9cxazvWvkKhj8c71gRr/yp7nAnmPp7MscZOYRE+atWqJafTWS5h7tq1q1wSLVavXr0K20dERKhmzZrHbXP0e0ZFRal58+bq1q2bUlJS1LFjR02aNKlMm4KCAl177bXauHGjZs+eXeGox4EDB3TxxReXpOHIyMiQ6eN3332n9evXq1q1aoqIiCiZTvrb3/6mPn36BH3/6tevL0nl/g+mdevW2rJli6Tg/xmuX79eL7zwgl577TX17dtXHTt21KOPPqpu3brpxRdfDIr+xcXFqXnz5urZs6dSU1MVERGh1NTUkv3k5+dr3759x9xXsPex2LGONcHevxMdZ0Khj5U51gSCsAgfUVFR6tq1q2bPnl1m++zZs9W7d+8Kv6dXr17l2s+aNUvdunUr+UM8VptjvWcxY4zy8vJKnhcf0NetW6c5c+aU/LKW5nK5dNFFFykqKkozZ85UTExMSPVxzJgx+u2335Senl7ykKQJEybo9ddfD/r+NW7cWA0aNNCaNWvKbF+7dq0aNWokKfh/hocOHZIkORxlDytOp1Mejyfg+3eiNl27dlVkZGSZfe3YsUMrVqwo2Vew91E6/rEm2Pt3ouNMKPSxMseagODT5awBpPjUqdTUVLNq1Spz7733mri4OLNp0yZjjDFjxowxN998c0n74lOn7rvvPrNq1SqTmppa7tSpX375xTidTvPMM8+Y33//3TzzzDPlTp0aO3as+fHHH83GjRvNb7/9Zh588EHjcDjMrFmzjDHGFBQUmMsuu8wkJSWZ9PR0s2PHjpJHXl6eMcYYl8tlevToYdq3b28yMjLKtKnoFL9g7GNFdIxTbYO1fxMmTDAJCQnmgw8+MOvWrTMPP/ywiYmJMRkZGSHRx/z8fNO8eXNz7rnnmgULFpiMjAzz/PPPG8uyzBdffBHQ/Tt48KAZO3asmT9/vtm0aZNJS0szQ4YMMdHR0WVOc7zjjjtMUlKSmTNnjlmyZIm58MILj3mqbTD2sTLHmmDuX0WOPs6EQh8rc6yxW9iED2OMefHFF02jRo1MVFSU6dKli5k7d27Ja4MHDzbnn39+mfY//PCD6dy5s4mKijKNGzc2kydPLveeH3zwgWnZsqWJjIw0rVq1Mh999FGZ12+//faSfdauXdv07du35BfJGGM2btxoJFX4+P77740xxnz//ffHbLNx48aQ6GNFKjooBHv/UlJSTFJSkomNjTW9evUyP/30U7l6grmPa9euNVdddZWpU6eOiY2NNR06dCh36m0g9u/w4cPmyiuvNA0aNDBRUVGmfv365rLLLjMLFy4s8z6HDx82d911l6lRo4apUqWK+etf/2q2bNlSrp5g7WNljzXB2r+KVHScCYU+VuZYYyfLmCOrYgAAAPwgLNZ8AACAwEH4AAAAfkX4AAAAfkX4AAAAfkX4AAAAfkX4AAAAfkX4AAAAfkX4AAAAfkX4AAAAfkX4AAAAfkX4AAAAfkX4AAAAfvX/AczYczWloYAFAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"powers, atom_number = sweep_power_old(trap, 10*si.G/si.cm, 0.95*si.uW, 100, -0.*zr, 1.1*zr,max_spill_steps=200)\n",
"calculate_stepsize(powers,atom_number,plot=True)/si.uW"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0028444444444444433"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gradients, atom_number = sweep_gradient_old(trap, 82*si.uW, 0.0004*si.G/si.cm, 50, -0.0*zr, 1.1*zr,max_spill_steps=200)\n",
"calculate_stepsize(gradients,atom_number,plot=True)/si.G*si.cm"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.01972222222222223"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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L91sbCADQKFBk4DG3D2inK7vHq8JlaszrK3WwvMLqSACAAEeRgccYhqFHr09TfHSYtu4u1d//t97qSACAAEeRgUc1Cw/RP399jgxDem1pgb7cVGR1JABAAKPIwOP6d2ip2/snS5IeeG+dDh3muUwAAO+gyMArsoZ0VOuoMG3be1DPfPmj1XEAAAGKIgOvaBoapAeudl/F9NyXP2rr7lKLEwEAAhFFBl4zNK21LujYSuWVLj3w3lpulAcA8DiKDLzGMAw9fE03hQTZ9FXObn2wZqfVkQAAAYYiA69q1zJCfxzUQZL08PvrVXLosMWJAACBhCIDr7vzwg5qFxOuopIy/WtBjtVxAAABhCIDrwsLtuvha9MkSS8v2crjCwAAHkORQYO4oGMrXX1OG7lMaczrK1VaxuMLAAD1R5FBg/n7td2OPr7gwfnrrI4DAAgAFBk0mGbhIZoxvKdshvTW8kK9t3K71ZEAAH6OIoMG1bd9jO4anCpJ+vv/NvD4AgBAvVBk0ODuHpyiNtFh2n2gTPNX7rA6DgDAj1Fk0OCC7TaNHNBOkvTC11u44y8A4KxRZGCJ3/RJVNPQIK3PqdCMV/arsNDqRAAAf0SRgSWiwoKVsq+7tj83WFkjmyspSZo92+pUAAB/E2R1ADROhYXS+0/HS6YhSXK5pFGjTEVGGurfX3I4LA4IAPALjMjAEjk5kstlVFtWWWlo+HApKcnU+PHuslNYKC1cKE49AQBqZJg+NtPS6XQqOjpaxcXFioqKsjoOvKSwUEpKco/EnJopw5BM05DNJmVlSWPGuL+TkyOlpjJyAwC+wqrPb0ZkYAmHQ5o5U7LbT7eWIfO4U0/TpkkJCaYSE6XBg8W8GgAARQbWycyU8vKkN96QDOOMqx9hqGoM0T2vhtNOANCYUWRgKYdDGjZMmjXrTKMzNauslL5e/ovngwEA/AJFBj6hanRm3DjJduT/lTZbLUZqDJcmfvadJn+4QSWHDns7JgDAx1Bk4DMcDunxx6X8fPeVSvn50rZtpy43Nrup827NkxlxUM8v3qJLpy9Wzk8l1u0AAKDBcdUS/EJhoZSbK6WkuF9X/b1tW1MLNxXp4ffXK2/PQbWICNG/M/uoW5toawMDQCNj1ec3RQYBYf/Bct364lKtLixWVFiQXsnsq54JzayOBQCNBpdfA/XQLDxEc3/bV+lJzeU8VKERL3yvpVv3Wh0LAOBlFBkEjKiwYL1yRx/17xCjA2UVuu3Fpfo6Z7fVsQAAXkSRQUCJCA3SiyPP1aBOrfTL4UrdMSdbqwv3Wx0LAOAlFBkEnLBgu56/JV0XdWql8gqX/jB3hfYfLLc6FgDACygyCEihQXbN+E0vJcWEa/v+X5T1xiq5XD41rx0A4AEUGQSs6CbBeubm3goNsumLjUV6fvEWqyMBADyMIoOA1q1NtB6+tpsk6V+fbVbe7lKLEwEAPIkig4D364wEDUxpqfIKlx6Yv04+duskAEA9UGQQ8AzD0N+vS1NIkE2LN/+sD9fssjoSAMBDKDJoFJJbRugPF3aQJE16fx0PmASAAEGRQaPxh0Ed1C4mXEUlZZq+YLPVcQAAHkCRQaMRFmzX369LkyTNWZKntduLLU4EAKgvigwalfNTW+mqHvFymdJ989aoknvLAIBfo8ig0bn/qq6KDA3SqsJivbp0m9VxAAD1QJFBoxMXFaa/DOkoSZr68Ub9XFJmcSIAwNmiyKBRuqVfO6W1jVLJoQo9+sF6q+MAAM4SRQaNkt1m6NHrusswpHdX7tCS3N1WRwIAnAWKDBqtcxKaaUTfJEnS395bq7KKSosTAQDqiiKDRm3cZZ3Usmmotvxcyr1lAMAPUWTQqEU3CdYjR+4tM3PxFn374x6LEwEA6oIig0bv8rTWGp6RINOUst5YqeKDPL4AAPwFRQaQ9MDVXdUuJlw7iw9p3FurVFHpsjoSAKAWvFJktm/frhEjRigmJkbh4eHq2bOnli9f7o1NAR4RERqkGb/ppWC7oQXrf9Ko59brs89NFRZanQwAcDpBnv6B+/bt04ABA3TRRRfpo48+UmxsrH788Uc1a9bM05sCPKpnQjM9fVNvjfhrkV6c2k0vmoZsNlNTphhKT5dSUyWHw+qUAIDjGaZpevRhMxMmTNA333yjr7766qze73Q6FR0dreLiYkVFRXkyGnBGhYVSYpIp02Uct9SUZMhmk7KypDFjKDQAcCKrPr89fmpp/vz5ysjI0LBhwxQbG6tevXpp1qxZnt4M4BU5OTqhxEiS+7XLJU2bJiUmuv9cuFDKznb/ySkoALCGx0dkwsLCJElZWVkaNmyYli5dqrFjx+r555/XrbfeetL6ZWVlKis79qwbp9OphIQERmRgicJCKSnJXVpOzz1Kc/xozZQp4hQUgEbLqhEZjxeZkJAQZWRkaMmSJUeX/elPf1J2dra+/fbbk9Z/6KGHNGnSpJOWU2RgldmzpVGjpMo63+j3WKmZOVPKzPRCOADwUQFzaik+Pl5du3attqxLly7atm1bjetPnDhRxcXFR78KCgo8HQmok8xMKS/Pfcpo6lTJbq/tO4+dgho1iiueAKAheLzIDBgwQJs2baq2bPPmzUpKSqpx/dDQUEVFRVX7AqzmcEiDBknjx7tLzbhxkq0Ovy2VlYbeXVTsrXgAgCM8XmT+/Oc/67vvvtNjjz2m3Nxcvfrqq5o5c6ZGjx7t6U0BDcLhkB5/XMrPr8MojeHSP75Zpj//d6V2Hyg7w8oAgLPl8TkykvS///1PEydOVE5OjpKTk5WVlaXf/e53tXovl1/DHxQWSrm5UkSEVFrqvnpp4kT3vBq73dTQO3dobeRKmabUPDxYT9/cW/07tLQ6NgB4TcBM9q0vigz8VVW5SUlxj+KsKtivCe+s0YadTgXZDD14TTfdcl7Np1gBwN9RZI6gyCCQHDpcqXveXq33Vu6QJN15YQfdc3knGcaJ96oBAP8WMFctATgmLNiuGcN76q+Xd5IkPbfoRz35Ra7FqQAgcFBkAC8zDEN/HJSi+69y35Zg+oLNeuGrLRanAoDAQJEBGkjmwGRlXdpRkvTIBxv0ybpdFicCAP9HkQEa0N2DU3RbP/eE33FvrNLW3aUWJwIA/0aRARqQYRj621VdlZHUXCVlFfrD3OU6WF5hdSwA8FsUGaCBBdttevrm3mrZNFQbd5XoofnrrI4EAH6LIgNYIC4qTE/e2EuGIb2xrFBfbPzJ6kgA4JcoMoBF+nWI0W8HJkuSJry9RvsPllucCAD8D0UGsNBfhnRS+1YRKiop06T311sdBwD8DkUGsFBYsF3/HHaObIY074ftXJINAHVEkQEs1iuxuUZd2EGSdN+8NdpbyikmAKgtigzgA8ZekqqOcU21+0C5HuQqJgCoNYoM4ANCg+yaNuwc2W2G3l+1Qx+s3ml1JADwCxQZwEf0cDTTHwe5TzHd8/Zqrd/htDgRAPg+igzgQ+4enKp+7WN0oKxCd7ycrZ3Fv1gdCQB8GkUG8CEhQTY9d0u6UmObapfzkG5/KZtHGADAaVBkAB8T3SRYL4489+gjDN7ILrA6EgD4LIoM4IMSWoTrrovc82XeXF5ocRoA8F0UGcBHXduzrULsNq3b4dS6HcVWxwEAn0SRAXxU84gQXdI1VpL05jJGZQCgJhQZwIcNy0iQJL25aLc+/cylQvoMAFRDkQF82AWprWTbnKz1/7pAl11qU1KSNHu21akAwHdQZAAftnOHobx3u0imIUlyuaTf/17KzrY4GAD4CIoM4MNyciTzSImp4nJJffuamjZNWrhQnG4C0KgFWR0AwKmlpko2m7u8HM80DY0fb0oyZLNJWVnSmDHu7+XkuN/ncDR4XABocIzIAD7M4ZBmznSXmZMdO900bZqUkGAqMdHU4MFSUpI0frx7tKawkJEbAIHLME3TtDrE8ZxOp6Kjo1VcXKyoqCir4wA+ITtb6ttXqvtvqynDMGSa7jI0ZYqUns6IDQDPs+rzmxEZwA+ce640a5Zkt9f1ncbR8uNyuUdpqkZsuPoJQCCgyAB+IjNTystznyaaOvVsSs0xLpc0ahSnmwD4P4oM4EccDmnQIPfISl6eNG7csfkzNptkGKd7d3WVlVJurjdSAkDDocgAfsrhkB5/XMrPd4/S5OdL27adrtycMMHGMLWhdId8bJocANQJk32BAFRY6B5tSUlxv87NdU8YnjjRPRJj2Ew1H7JGkecU6OLOsfrHr3qoVWSotaEB+DWrPr8pMkAjUlVwktub+mjrFk3/dLPKK11KbBGuf2f2UVJMhNURAfgpiswRFBmg4WzaVaLfvbJM2/YeVMumoXrljj7q2obfOwB1x+XXABpcp9aReuvOfurcOlK7D5Rp+MxvtWlXidWxAKDWKDJAIxcbFab/juqn3onNVHKoQre/tFQ/OQ9ZHQsAaoUiA0DRTYL14shz1b5VhHYUH1LmnGyVllVYHQsAzogiA0CS1Cw8RC+P7KOYiBCt3e7UuDdXcWk2AJ9HkQFwVGJMuGbdlqFgu6GP1u7Sf77fZnUkADgtigyAanonNtc9l3eWJP39f+uZ/AvAp1FkAJzkjgHJGtSplcoqXLr7tRU6dLjS6kgAUCOKDICT2GyGpg07R60iQ7X5pwOa8VmO1ZEAoEYUGQA1atk0VI9d312SNOurLVq7vdjiRABwMooMgFO6tGucruoRr0qXqb++tVqHK11WRwKAaigyAE7roWu6qVl4sNbvdGrm4i1WxwGAaigyAE6rZdNQPXBVV0nSE5/n6MefD1icCACOocgAOKPre7XVhR1bqbzCpQlvr5bLxY3yAPgGigyAMzIMQ49en6bwELuy8/bpP9/nWx0JACRRZADUkqN5+NEb5f3jo40q3HfQ4kQAQJEBUAe3nJekjKTmKi2v1Lg3V3GKCYDlKDIAaq3qRnlNgu36bstevfjNVqsjAWjkKDIA6qRdywjdf+Qqpqkfb+JZTAAsRZEBUGc39knQ4M6xKq906a5XV8h56LDVkQA0UhQZAHVmGIb+8avuio0MVU7RAY3+zwru+gvAEhQZAGclNjJML448V02C7foqZ7ceeG+tTJPJvwAalteLzOTJk2UYhsaOHevtTQFoYGlto/Xkjb1kGNJrSws04e01+jGvUgsXSoWFVqcD0Bh4tchkZ2dr5syZ6tGjhzc3A8BCl3SN0yPXpclmSC/MllLa2zR4sJSUJI0fT6EB4F1eKzIHDhzQzTffrFmzZql58+be2gwAH3Bz3yRNGXqe9n7SXTINSZLLJU2bJiUmuv9klAaAN3ityIwePVpXXnmlLrnkktOuV1ZWJqfTWe0LgP9pWRlztMQczzSl8ePNk0ZpCgspNwDqL8gbP/T111/XihUrlJ2dfcZ1J0+erEmTJnkjBoAGlJoq2WzukZiTVR+lmTbNlGFIpmnIZpOmTJHS090/w+Fo0NgA/JzHR2QKCgo0ZswYzZ07V2FhYWdcf+LEiSouLj76VVBQ4OlIABqAwyHNnCnZ7bVZ25B53CmomkZsAKA2DNPD10u+++67uv7662U/7r9mlZWVMgxDNptNZWVl1b53IqfTqejoaBUXFysqKsqT0QA0gMJC6YknpOnTTzU6c2aGYWrWLEOZmZ7NBsB7rPr89niRKSkpUX5+frVlt99+uzp37qx77rlHaWlpp30/RQYIDIWFUm6ulJ0tTZwoVVbW7f02m6ktW6WkxJPn3QDwPVZ9fnv81FJkZKTS0tKqfUVERCgmJuaMJQZA4HA4pEGD3KeK8vKkcePcc2gk95/GGfqJy2XoN9PWau32Ym9HBeDHuLMvAK9zOKTHH5fy891XKuXnS9u2uf8+deop5tUYpgoqinTNU1/rsQ83qLyCRyAAOJnHTy3VF6eWgMbnxHk1drv0+IzDym2xRh+s3ilJykhqrmdG9FZs5JkvIgDQ8AJmjkx9UWSAxqtqXk1KyrHLsD9dt0t/eXOVSg5VKC4qVM/fkqGeCc0szQngZAEzRwYAzlbVvJrj7yUzpFtrzb9roFJjm+onZ5lumvWdluTutiwjAN9CkQHg85JbRmje6AE6P7WlDpZXauTL2fp8w09WxwLgAygyAPxC09AgvXBbhoZ0jVN5hUuj/r1c//k+/8xvBBDQKDIA/EZokF1P39xbN/RqqwqXqfvmrdUD763V4UquaAIaK4oMAL8SbLfpn78+R+Mv6yTDkF75Nl9/m7fW6lgALEKRAeB3DMPQ6ItS9OzNvSVJb68oVFHJIYtTAbACRQaA37o8LV69E5upwmXqzWU8aRJojCgyAPzaTX2TJEmvLd0ml8unbosFoAFQZAD4tat6xCsqLEiF+37RV9xfBmh0KDIA/FpYsF039HbfQe9VLscGGh2KDAC/d3PfREnSZxuKtGP/LxanAdCQKDIA/F5qXKT6JrdQpcvUuDdXqZK5MkCjQZEBEBAevb67wkPsWvLjHs34bLPVcQA0EIoMgICQEttUk2/oLkl68otcfbmpyOJEABoCRQZAwLi2Z1uNOM89XybrjVUqcnKTPCDQUWQABJS/XdlVXeKjtLe0XH95cxX3lgECHEUGQEAJC7bryRt7KizYpq9yduvFb7ZaHQmAF1FkAASclNhIPXBVN0nSlI83alXBfmsDAfAaigyAgHRjnwRd3q21DleaGvXv5TxUEghQFBkAAckwDD0+rIdSYptql/OQ7vz3cpVVVFodC4CHUWQABKzIsGDNujVDUWFBWrFtvya+vYab5QEBhiIDIKAlt4zQUzf1ls2Q3vlhuzKfXqtPP3OpsNDqZAA8gSIDIOBd0LGVnrqpt35Zk6A5Y9J02aU2JSWZmjZNWrhQlBrAj1FkADQKPZrHa/fH3SXTkCS5XIbGjzc1eLCUlCSNH0+hAfxRkNUBAKAh5OS4y0t1VaVGmjZN+uc/palTpfR0KTX12PuaNpUOHHAvczgaNjeA06PIAGgUUlMlm81dWk7FNKXx401JhgzDPLLsWPmx2aQpU44VHUoNYD1OLQFoFBwOaeZMyW4/05ru4mKaRrUSI7lLEKejAN9CkQHQaGRmSnl57gm+U6fWptTUpPrpqMREafZsT6YEUBcUGQCNisMhDRrkHk3Jy5PGjXOfMjpbpin9/vemfszjZnuAFSgyABoth0N6/HEpP//kURqbTTJOnBt8Ci6XoWsfW6V5PxTytG2ggRmmafrUb53T6VR0dLSKi4sVFRVldRwAjUxhoZSbK6WkuF/n5koREVJpqZSdLU2cKFWeOPhimGp75xcKijqkrvFRmvr/eiitbXSDZwesZNXnN0UGAOqgsFB64glp+nT3PBm7XXryaZfMTlv07Jc/quRQhYLthsZe0lGjLmivIDsD32gcKDJHUGQA+IPjR26qLsPec6BM981bq4/X7ZIk9Wsfo+dGpCs6PNjCpEDDoMgcQZEB4M9M09S8H7br/nfXqrS8Uu1bRejlkX2UGBNudTTAq6z6/GbMEwA8yDAM3dDbobf+0F/x0WHa8nOprnvmG63bUWx1NCAgUWQAwAu6xEfp3dEDlNY2SntLyzXihe+1aVeJ1bGAgEORAQAviYsK06u/O089HNHad/Cwbn7hO+UWUWYAT6LIAIAXRYUF69939FW3NlHafaBcI15Yql3Fh6yOBQQMigwAeFl0eLDmZvZVSmxT7XIeUuacbJWWVVgdCwgIFBkAaADNI0L00shzFRMRonU7nPrTaz+okrsAA/VGkQGABpLQIlyzbstQaJBNn28s0t//t97qSIDfo8gAQAPqndhc/xreU5L08pI8vfTNVmsDAX6OIgMADeyK7vGaMLSzJOnv/1uvBet/sjgR4L8oMgBggVEXtNeNfRLkMqXRr67QZ5QZ4KxQZADAAoZh6OFr03RZtziVV7h059zlen/VDqtjAX6HIgMAFgm22/T0Tb11Xc82qnCZ+tPrP+jbH/dYHQvwKxQZALBQkN2m6b/uqSu6t5ZpSu/+sN3qSIBfocgAgMVsNkPDMhIkSV/n7pZpcn8ZoLYoMgDgA/q0a6Fgu6Ht+3/Rtr0HrY4D+A2KDAD4gIjQIPVKbC7JPSoDoHYoMgDgIwamtJQkfUORAWqNIgMAPmLAkSKz5Mc9PIcJqCWKDAD4iHMc0WoaGqT9Bw9r/Q6n1XEAv0CRAQAfEWS36bz2MZKYJwPUFkUGAHzIwBR3kVm4sUg/5lVq4UKpsNDiUIAP83iRmTx5ss4991xFRkYqNjZW1113nTZt2uTpzQBAQBqY2kqS9Pl7EUppb9PgwVJSkqlp00SpAWrg8SKzaNEijR49Wt99950WLFigiooKDRkyRKWlpZ7eFAAEnJTYpvrjuWna+0l3yTQkSS6XofHjzSOlRpQa4DiG6eVbSP7888+KjY3VokWLdMEFF5xxfafTqejoaBUXFysqKsqb0QDAJy1cKA0efLo1TEmGbDYpK0saM8a9NCdHatpUOnBASk09tiw1VXI4vBwajZ5Vn99B3t5AcXGxJKlFixY1fr+srExlZWVHXzudzNQH0Lilpko2m+RynWqNqpEa9+jMtGmmDEMyTUNVJcdwryLTVI2Fh3KDQOHVyb6maSorK0sDBw5UWlpajetMnjxZ0dHRR78SEhK8GQkAfJ7DIc2cKdnttX2HcaTEuP8uuQtM1Xh7VeFJSDCVmKijp6jGj+f0FPyfV08tjR49Wh988IG+/vprOU5R/WsakUlISODUEoBGr7BQys2VsrOliROlykrPb8MwpFmzpMxMz/9sNC5WnVryWpG5++679e6772rx4sVKTk6u9fuYIwMAJ/NmqbHZTG3dKiUmGmdeGTgFqz6/PX5qyTRN3XXXXXrnnXf0xRdf1KnEAABq5nBIgwa5Twfl5UnjxrnnvkjuP40TOkhNy07F5TJ09WMr9cq3eTpYXuHJ2IDXeXxE5o9//KNeffVVvffee+rUqdPR5dHR0WrSpMkZ38+IDADUTtUoTUqK+3VurhQRIZWWHlv2xBPS9OnueTI2W/W5M0cZptre+YWCog6pWXiw/jQ4Vbf0S1KwnXumovYC5tSScYp/Arz00ksaOXLkGd9PkQEAzzqx8Bxfbux26cmnKxXRo0AvfLVV2/YelCS1bxWhh67upgs6trIwOfxJwBSZ+qLIAID3HV9uqq7FqHSZemNZgaZ9skl7SsslSbf2S9LEoV3UJKTWl1ChkaLIHEGRAQBrOQ8d1vRPN+vlJXmSpA6tIvTsiHR1jIu0Nhh8WsBM9gUA+LeosGA9dE03vXJHH8VGhurHn0v1q2eWaOGmIqujASehyAAAanRBx1b6eOwF6pPcQiVlFcp8OVsvf7PV6lhANRQZAMAptYgI0dzMvvp1hkMuU3ro/fV69ssfrY4FHEWRAQCcVkiQTVN+1UNjL3E/iXLKxxv19MJci1MBbhQZAMAZGYahsZd0VNalHSVJj3+yiTIDn0CRAQDU2p8uTtW4IcfKzJOf51icCI0dRQYAUCd3DU7V+Mvcd27/54LN+j/KDCxEkQEA1Nnoi1L018vdZWb6gs2a8dlmixOhsaLIAADOyh8HpWjC0M6SpBmf5ehfCygzaHgUGQDAWbvzwg6aeKTMPPF5jh6av06HK10Wp0JjQpEBANTLqAs76G9XdpEkvbwkT7fM/l57DpRZnAqNBc9aAgB4xMdrd+kvb6xUaXmlopsEa3DnWA3uHKvLurVWSBD/bg50PGsJAODXLk9rrXdHD1D7VhEq/uWw5v2wXXe/9oP+8dFGq6MhgFFkAAAekxoXqU/HXqD//v48/aq3Q5L0Te5ui1MhkFFkAAAeFWS3qW/7GN0z1H159uaiEjkPHbY4FQIVRQYA4BWxkWFyNG8i05RWFxRbHQcBiiIDAPCa3onNJUk/bNtncRIEKooMAMBreiU2kyStoMjASygyAACv6VU1IlOwXz52tw8ECIoMAMBrusZHKSTIpv0HD2vr7lKr4yAAUWQAAF4TEmRT97bRkqQftu23NgwCEkUGAOBVvRKaqcIZpnkflquw0Oo0CDRBVgcAAAS2n5e30fbnuug/pqHXHpKmTJHS06WmTaUDB6TUVMnhsDol/BXPWgIAeE1hoZSUZMrlMo5bako69tpmq7ncSFJOTs3LKD++x6rPb0ZkAABek5OjE0qMdHyJkSSXSxo/vnq5MY789fh/ah+/zGaTsrKkMWOObYfC0zgxIgMA8Br3iIy7rHiHKcOQTNNQ1UjPiYWHU1kNgxEZAEDAcTikmTOlUaOkykpvbME4btTG3WCO/+d5TaM9x5cbSo3/Y0QGAOB1hYVSbq6UnS1NnOitUlMX7nJjs7mLVmam1Xn8n1Wf3xQZAECDqio1ERFSaWnN5cZmc4+sHP8JVdMyT7DZTeXnGYzM1BNF5giKDAA0PieWm5QU9/Kalj3xhDR9uvu0kacKz3l3r1bmsKa65pw2io0K89yONSIUmSMoMgCAM6kqPqcrPLU+lWW41PbOhQqKOiSbIfXv0FLX9myjS7vGqVl4iNf3JVBQZI6gyAAAPOl0p7Lsdmn6/1Woea9Cvbtyh5bnH3tKt91mqG9yC/VwNFPbZmHqEh+ljHYtLNwT30aROYIiAwDwtuNHdI6fG5O/p1TvrdyhD9fs1MZdJSe97607+1FmToEicwRFBgDgC/L3lGrhxiLl7TmohZuKlL/noCYM7aw7L+xgdTSfxH1kAADwIUkxERo5IFmS1GphqB7/ZJM21TBKA2vx9GsAAM6gc+tISdKGnU6Lk+BEFBkAAM6g05Ei8+PPB1Re4bXnLeAsUGQAADiDts2aKDI0SIcrTW3ZfcDqODgORQYAgDMwDEOd492jMht3Mk/Gl1BkAACohc6t3VfibNjFPBlfQpEBAKAWGJHxTRQZAABqoWpEZiMjMj6FIgMAQC1UXbn0k7NMe0vLLU6DKhQZAABqoWlokBJbhEtiVMaXUGQAAKilqhvjMU/Gd/CIAgAAaqlzfJQ+Xf+T3lhWoPdW7VDe7lKdk9BM/TvEaGhaayXFRFgdsdGhyAAAUEtdqkZkjnvm0uLNP2vx5p/1+CebdH2vtrp7cAqFpgFRZAAAqKULO7XSxZ1jZRjSxV3i1CU+Ssvz92nhxiJ9nbtbby0v1Hsrt+vNO/urZ0Izq+M2CoZpmqbVIY5n1WPAAQCoj5UF+/XAe2u1urBYt/VL0qRr06yO1KCs+vxmsi8AAB7QM6GZfnt+e0nSDwX7rQ3TiFBkAADwkN6JzSRJ63c4dehwpbVhGgmKDAAAHtK2WRO1igxVhcvUmu3FVsdpFCgyAAB4iGEY6nVkku8P2/ZZG6aRoMgAAOBBvZOaS5JW5O+3NkgjQZEBAMCDqkZkVmzbJx+7MDggea3IPPPMM0pOTlZYWJjS09P11VdfeWtTAAD4jB6OZrLbDBWVlGlH8SGr4wQ8rxSZ//73vxo7dqzuu+8+/fDDDzr//PM1dOhQbdu2zRubAwDAZzQJsatLvPsOwMyT8T6vFJnp06crMzNTv/3tb9WlSxfNmDFDCQkJevbZZ72xOQAAfErvRObJNBSPP6KgvLxcy5cv14QJE6otHzJkiJYsWXLS+mVlZSorKzv62unk0egAAP/WK7GZXvk2X5+s2yVTvjdPJshm6L4ru1odwyM8XmR2796tyspKxcXFVVseFxenXbt2nbT+5MmTNWnSJE/HAADAMhlJLSRJ2/f/ope+ybM2TA1CgmwUmTMxDKPaa9M0T1omSRMnTlRWVtbR106nUwkJCd6KBQCA1yW0CNczN/fWuh2+eVM8uy1wLlr2eJFp2bKl7Hb7SaMvRUVFJ43SSFJoaKhCQ0M9HQMAAEtd0T1eV3SPtzpGwPN4JQsJCVF6eroWLFhQbfmCBQvUv39/T28OAAA0Yl45tZSVlaVbbrlFGRkZ6tevn2bOnKlt27bpzjvv9MbmAABAI+WVIjN8+HDt2bNHDz/8sHbu3Km0tDR9+OGHSkpK8sbmAABAI2WYPnb/ZKfTqejoaBUXFysqKsrqOAAAoBas+vwOnGnLAACg0aHIAAAAv0WRAQAAfosiAwAA/BZFBgAA+C2KDAAA8FsUGQAA4LcoMgAAwG9RZAAAgN/yyiMK6qPqRsNOp9PiJAAAoLaqPrcb+oEBPldkSkpKJEkJCQkWJwEAAHW1Z88eRUdHN9j2fO5ZSy6XSzt27FBkZKQMw7A6TsByOp1KSEhQQUEBz7TyIRwX38Mx8T0cE99UXFysxMRE7du3T82aNWuw7frciIzNZpPD4bA6RqMRFRXFfwh8EMfF93BMfA/HxDfZbA07/ZbJvgAAwG9RZAAAgN+iyDRSoaGhevDBBxUaGmp1FByH4+J7OCa+h2Pim6w6Lj432RcAAKC2GJEBAAB+iyIDAAD8FkUGAAD4LYoMAADwWxQZP/XMM88oOTlZYWFhSk9P11dffXXa9RctWqT09HSFhYWpffv2eu6550657uuvvy7DMHTddddVWz558mSde+65ioyMVGxsrK677jpt2rTJE7sTEKw4Js8++6x69Ohx9MZg/fr100cffeSJ3QkYVhyX402ePFmGYWjs2LFnuQeBx4pj8tBDD8kwjGpfrVu39sTuBASrfk+2b9+uESNGKCYmRuHh4erZs6eWL19et/Am/M7rr79uBgcHm7NmzTLXr19vjhkzxoyIiDDz8/NrXH/Lli1meHi4OWbMGHP9+vXmrFmzzODgYPOtt946ad28vDyzbdu25vnnn29ee+211b532WWXmS+99JK5du1ac+XKleaVV15pJiYmmgcOHPDGbvoVq47J/PnzzQ8++MDctGmTuWnTJvPee+81g4ODzbVr13pjN/2OVcelytKlS8127dqZPXr0MMeMGePBPfNfVh2TBx980OzWrZu5c+fOo19FRUXe2EW/Y9Ux2bt3r5mUlGSOHDnS/P77782tW7ean332mZmbm1un/BQZP9SnTx/zzjvvrLasc+fO5oQJE2pc/69//avZuXPnastGjRplnnfeedWWVVRUmAMGDDBfeOEF87bbbjvlf5yrFBUVmZLMRYsW1X0nAoyvHBPTNM3mzZubL7zwQt12IEBZeVxKSkrM1NRUc8GCBeaFF15IkTnCqmPy4IMPmuecc0698wciq47JPffcYw4cOLDe+Tm15GfKy8u1fPlyDRkypNryIUOGaMmSJTW+59tvvz1p/csuu0zLli3T4cOHjy57+OGH1apVK2VmZtYqS3FxsSSpRYsWddmFgOMrx6SyslKvv/66SktL1a9fv7PYk8Bi9XEZPXq0rrzySl1yySX12IvAYvUxycnJUZs2bZScnKzf/OY32rJlSz32JjBYeUzmz5+vjIwMDRs2TLGxserVq5dmzZpV533wuYdG4vR2796tyspKxcXFVVseFxenXbt21fieXbt21bh+RUWFdu/erfj4eH3zzTeaPXu2Vq5cWascpmkqKytLAwcOVFpa2lntS6Cw+pisWbNG/fr106FDh9S0aVPNmzdPXbt2rdc+BQIrj8vrr7+uFStWKDs7u977EUisPCZ9+/bVK6+8oo4dO+qnn37SI488ov79+2vdunWKiYmp9775KyuPyZYtW/Tss88qKytL9957r5YuXao//elPCg0N1a233lrrfaDI+CnDMKq9Nk3zpGVnWr9qeUlJiUaMGKFZs2apZcuWtdr+XXfdpdWrV+vrr7+uY/LAZdUx6dSpk1auXKn9+/fr7bff1m233aZFixZRZo5o6ONSUFCgMWPG6NNPP1VYWFg90wcmK35Xhg4devTv3bt3V79+/dShQwfNmTNHWVlZZ7MbAcWKY+JyuZSRkaHHHntMktSrVy+tW7dOzz77LEUmkLVs2VJ2u/2kplxUVHRSQ67SunXrGtcPCgpSTEyM1q1bp7y8PF199dVHv+9yuSRJQUFB2rRpkzp06HD0e3fffbfmz5+vxYsXy+FweGrX/JbVxyQkJEQpKSmSpIyMDGVnZ+uJJ57Q888/77F99EdWHZc1a9aoqKhI6enpR9eprKzU4sWL9dRTT6msrEx2u91Tu+lXrP5dOV5ERIS6d++unJyc+u6WX7PymMTHx5/0D64uXbro7bffrtM+MEfGz4SEhCg9PV0LFiyotnzBggXq379/je/p16/fSet/+umnysjIUHBwsDp37qw1a9Zo5cqVR7+uueYaXXTRRVq5cqUSEhIkuRv3XXfdpXfeeUdffPGFkpOTvbOTfsbKY1IT0zRVVlZW/x3zc1Ydl4svvvikdTIyMnTzzTdr5cqVjbbESL71u1JWVqYNGzYoPj7eMzvnp6w8JgMGDDjpFh6bN29WUlJS3Xai3tOF0eCqLpWbPXu2uX79enPs2LFmRESEmZeXZ5qmaU6YMMG85ZZbjq5fdancn//8Z3P9+vXm7NmzT3mpXJWaZpj/4Q9/MKOjo80vv/yy2iWMBw8e9Mp++hOrjsnEiRPNxYsXm1u3bjVXr15t3nvvvabNZjM//fRTr+ynv7HquJyIq5aOseqY/OUvfzG//PJLc8uWLeZ3331nXnXVVWZkZOTR7TZmVh2TpUuXmkFBQeajjz5q5uTkmP/5z3/M8PBwc+7cuXXKT5HxU08//bSZlJRkhoSEmL179652CfRtt91mXnjhhdXW//LLL81evXqZISEhZrt27cxnn332tD+/pv/TSarx66WXXvLQXvk3K47JHXfccXSbrVq1Mi+++GJKzAmsOC4noshUZ8UxGT58uBkfH28GBwebbdq0MW+44QZz3bp1ntolv2fV78n7779vpqWlmaGhoWbnzp3NmTNn1jm7YZpHZugAAAD4GebIAAAAv0WRAQAAfosiAwAA/BZFBgAA+C2KDAAA8FsUGQAA4LcoMgAAwG9RZAAAgN+iyAAAAL9FkQEAAH6LIgMAAPwWRQYAAPit/w+xqbkc12ZZ4wAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gradients, atom_number = sweep_gradient_old(trap, 1856*si.uW, 0.0025*si.G/si.cm, 50, -0.0*zr, 1.1*zr,max_spill_steps=200)\n",
"calculate_stepsize(gradients,atom_number,plot=True)/si.G*si.cm"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now do this for different gradients:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
" 4%|▍ | 1/25 [06:56<2:46:45, 416.88s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For -2.5G/cm (86.71679644756973uW): dB'=0.0029777777777777728G/cm (rel: 0.11911111111111092%), dP = 0.833333333333353uW (rel: 0.9609826094500605%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 8%|▊ | 2/25 [15:11<2:57:15, 462.41s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For -1.9791666666666665G/cm (216.8965165880169uW): dB'=0.00511875G/cm (rel: 0.25863157894736843%), dP = 1.40555555555552uW (rel: 0.6480304883020764%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 12%|█▏ | 3/25 [23:32<2:56:03, 480.16s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For -1.4583333333333335G/cm (347.0762367284639uW): dB'=0.0077625000000000124G/cm (rel: 0.5322857142857151%), dP = 1.8777777777778992uW (rel: 0.5410274686270107%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 16%|█▌ | 4/25 [31:40<2:49:11, 483.43s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 atoms not reached\n",
"For -0.9374999999999999G/cm (477.25595686891097uW): dB'=0.008943749999999999G/cm (rel: 0.954%), dP = 2.3333333333331447uW (rel: 0.48890606806486586%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 20%|██ | 5/25 [39:48<2:41:35, 484.77s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 atoms not reached\n",
"For -0.4166666666666665G/cm (607.4356770093582uW): dB'=0.009750000000000003G/cm (rel: 2.3400000000000016%), dP = 2.6129629629634374uW (rel: 0.4301629064377761%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 24%|██▍ | 6/25 [47:44<2:32:36, 481.91s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 atoms not reached\n",
"For 0.10416666666666696G/cm (737.6153971498052uW): dB'=0.011166666666666667G/cm (rel: 10.719999999999969%), dP = 2.8499999999996564uW (rel: 0.38638022077796175%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 28%|██▊ | 7/25 [55:32<2:23:11, 477.32s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 atoms not reached\n",
"For 0.625G/cm (867.7951172902524uW): dB'=0.012025000000000004G/cm (rel: 1.9240000000000004%), dP = 3.227777777777597uW (rel: 0.3719515947331608%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 32%|███▏ | 8/25 [1:03:22<2:14:35, 475.04s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 atoms not reached\n",
"For 1.1458333333333337G/cm (997.9748374306995uW): dB'=0.012487499999999997G/cm (rel: 1.0898181818181811%), dP = 3.322222222221979uW (rel: 0.33289639153378736%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 36%|███▌ | 9/25 [1:11:31<2:07:53, 479.57s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 atoms not reached\n",
"For 1.666666666666667G/cm (1128.1545575711466uW): dB'=0.014300000000000002G/cm (rel: 0.8580000000000001%), dP = 3.657407407406624uW (rel: 0.3241938245838245%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 40%|████ | 10/25 [1:19:39<2:00:29, 481.95s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 atoms not reached\n",
"For 2.1874999999999996G/cm (1258.3342777115936uW): dB'=0.01622916666666666G/cm (rel: 0.7419047619047616%), dP = 3.8499999999993917uW (rel: 0.3059600352778278%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 44%|████▍ | 11/25 [1:27:37<1:52:12, 480.87s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"10 atoms not reached\n",
"For 2.708333333333334G/cm (1388.5139978520408uW): dB'=0.017425000000000003G/cm (rel: 0.6433846153846153%), dP = 4.1351851851847385uW (rel: 0.2978137196730934%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 48%|████▊ | 12/25 [1:35:25<1:43:20, 476.99s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 3.229166666666667G/cm (1518.693717992488uW): dB'=0.018166666666666654G/cm (rel: 0.5625806451612899%), dP = 4.362962962962699uW (rel: 0.2872839277118996%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 52%|█████▏ | 13/25 [1:43:29<1:35:49, 479.09s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 3.7499999999999996G/cm (1648.873438132935uW): dB'=0.02054166666666666G/cm (rel: 0.5477777777777776%), dP = 4.644444444444318uW (rel: 0.2816737984270855%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 56%|█████▌ | 14/25 [1:50:58<1:26:10, 470.00s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 4.270833333333334G/cm (1779.0531582733822uW): dB'=0.019475000000000006G/cm (rel: 0.45600000000000007%), dP = 4.731481481481505uW (rel: 0.26595503678336024%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 60%|██████ | 15/25 [1:58:37<1:17:45, 466.55s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 4.791666666666667G/cm (1909.232878413829uW): dB'=0.021666666666666685G/cm (rel: 0.4521739130434786%), dP = 5.001851851852045uW (rel: 0.26198228138662333%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 64%|██████▍ | 16/25 [2:06:12<1:09:29, 463.30s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 5.312500000000001G/cm (2039.4125985542767uW): dB'=0.021691666666666647G/cm (rel: 0.4083137254901956%), dP = 5.41666666666704uW (rel: 0.26559935299541015%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 68%|██████▊ | 17/25 [2:13:50<1:01:33, 461.70s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 5.833333333333334G/cm (2169.592318694723uW): dB'=0.023399999999999994G/cm (rel: 0.401142857142857%), dP = 5.542592592591355uW (rel: 0.25546700847124615%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 72%|███████▏ | 18/25 [2:21:26<53:39, 459.88s/it] "
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 6.354166666666668G/cm (2299.7720388351704uW): dB'=0.020492857142857143G/cm (rel: 0.32251053864168616%), dP = 5.812962962963657uW (rel: 0.2527625723246862%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 76%|███████▌ | 19/25 [2:29:06<45:58, 459.79s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 6.875G/cm (2429.951758975618uW): dB'=0.022007142857142826G/cm (rel: 0.32010389610389567%), dP = 5.749999999999098uW (rel: 0.23663021205092136%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 80%|████████ | 20/25 [2:36:37<38:06, 457.36s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 7.395833333333333G/cm (2560.131479116065uW): dB'=0.02386607142857145G/cm (rel: 0.3226961770623745%), dP = 6.005555555556445uW (rel: 0.2345799660894752%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 84%|████████▍ | 21/25 [2:44:11<30:25, 456.25s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 7.916666666666669G/cm (2690.311199256512uW): dB'=0.02549285714285713G/cm (rel: 0.3220150375939847%), dP = 6.079629629629038uW (rel: 0.2259823930892898%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 88%|████████▊ | 22/25 [2:51:40<22:42, 454.06s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 8.437499999999998G/cm (2820.4909193969584uW): dB'=0.02237500000000003G/cm (rel: 0.2651851851851856%), dP = 6.233333333334447uW (rel: 0.2210017160653429%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 92%|█████████▏| 23/25 [2:59:12<15:06, 453.40s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 8.958333333333336G/cm (2950.6706395374063uW): dB'=0.027235714285714294G/cm (rel: 0.30402657807308975%), dP = 6.575925925925594uW (rel: 0.2228620788037712%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 96%|█████████▌| 24/25 [3:06:39<07:31, 451.38s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 9.479166666666668G/cm (3080.8503596778532uW): dB'=0.025848214285714266G/cm (rel: 0.2726844583987439%), dP = 6.416666666667997uW (rel: 0.2082758302918338%)\n",
"10 atoms not reached\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 25/25 [3:14:09<00:00, 465.98s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 10.0G/cm (3211.0300798183uW): dB'=0.027857142857142875G/cm (rel: 0.2785714285714287%), dP = 6.649999999999968uW (rel: 0.20709865166931937%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"max_spill_steps = 200\n",
"\n",
"#range for gradients to do scans at\n",
"many_grad = np.linspace(-2.5,10,25)*si.G/si.cm\n",
"\n",
"#step sizes that were found in previous step\n",
"dp = np.linspace(0.15,0.95,len(many_grad))*si.uW\n",
"dgrad = np.linspace(0.0004,0.0025,len(many_grad))*si.G/si.cm\n",
"\n",
"many_power = np.zeros_like(many_grad)\n",
"step_grad = np.zeros_like(many_grad)\n",
"step_power = np.zeros_like(many_grad)\n",
"\n",
"data = {\"gradient\":np.zeros_like(many_grad),\n",
" \"power\":np.zeros_like(many_grad),\n",
" \"gradient_step\":np.zeros_like(many_grad),\n",
" \"power_step\":np.zeros_like(many_grad),\n",
" \"gradient_rel\":np.zeros_like(many_grad),\n",
" \"power_rel\":np.zeros_like(many_grad)\n",
" }\n",
"\n",
"for i, initial_grad in tqdm(enumerate(many_grad),total=len(many_grad)):\n",
" #print(i)\n",
" many_power[i] = 4/3/np.sqrt(3)*zr * np.pi* trap.subs(trap.m * trap.g + trap.mu_b * initial_grad) * trap.subs(trap.waist_tweezer**2/trap.a)\n",
"\n",
" gradients, atom_number = sweep_gradient_old(trap, many_power[i], dgrad[i], 250, -0.*zr, 1.1*zr,max_spill_steps=max_spill_steps)\n",
" step_grad[i] = calculate_stepsize(gradients,atom_number,plot=True)\n",
"\n",
" powers, atom_number = sweep_power_old(trap, initial_grad, dp[i], 250, -0.*zr, 1.1*zr,max_spill_steps=max_spill_steps)\n",
" step_power[i] = calculate_stepsize(powers,atom_number)\n",
"\n",
" print(f\"For {initial_grad/si.G*si.cm}G/cm ({many_power[i]/si.uW}uW): dB'={step_grad[i]/si.G*si.cm}G/cm (rel: {step_grad[i]/np.abs(initial_grad)*100}%), dP = {step_power[i]/si.uW}uW (rel: {step_power[i]/many_power[i]*100}%)\")\n",
"\n",
" data[\"gradient\"][i] = initial_grad\n",
" data[\"power\"][i] = many_power[i]\n",
" data[\"gradient_step\"][i] = step_grad[i]\n",
" data[\"gradient_rel\"][i] = step_grad[i]/np.abs(initial_grad)\n",
" data[\"power_step\"][i] = step_power[i]\n",
" data[\"power_rel\"][i] = step_power[i]/many_power[i]\n",
"\n",
"\n",
"# Save dictionary to numpy file\n",
"np.savez(\"data/sweeps_1064.npz\",gradient=data[\"gradient\"], power = data[\"power\"],gradient_step = data[\"gradient_step\"],gradient_rel = data[\"gradient_rel\"],power_step = data[\"power_step\"],power_rel = data[\"power_rel\"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Repeat with 532nm and 1.1um"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"135.205 Hz\n",
"0.331493989048114 uK\n"
]
},
{
"data": {
"text/latex": [
"$\\displaystyle \\frac{\\omega_{t r}}{\\omega_{t ax}} \\approx 9.02$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"initial_power = 15 * si.uW \n",
"initial_grad = -2.5 * si.G/si.cm\n",
"\n",
"trap: PancakeTrap = PancakeTrap(\n",
" power=0, # Set pancake laser power to 0, no 2D trap\n",
" grad_z= initial_grad,\n",
" grad_r=0,\n",
" power_tweezer= initial_power,\n",
" waist_tweezer= 1.08 * si.um,\n",
"\n",
" m= 161 * const.value(\"atomic mass constant\"),\n",
" mu_b= 9.93 * const.value(\"Bohr magneton\" ),\n",
" a=180*(4 * np.pi * const.epsilon_0 * const.value(\"Bohr radius\")**3)/(2 * const.epsilon_0 * const.c),\n",
"\n",
" wvl = 532 * si.nm,\n",
")\n",
"axial_width = trap.get_tweezer_rayleigh()\n",
"zr = float(trap.subs(trap.get_tweezer_rayleigh()))\n",
"\n",
"x, y, z = trap.x, trap.y, trap.z\n",
"\n",
"print(f\"{float(trap.subs(trap.get_omega_ax_tweezer()))/2/np.pi:.3f} Hz\")\n",
"print(f\"{trap.subs(trap.a *2*trap.power_tweezer/(np.pi*trap.waist_tweezer**2)/ const.k) /si.uK} uK\")\n",
"\n",
"aspect_ratio = trap.get_omega_r_tweezer() / trap.get_omega_ax_tweezer()\n",
"_aspect_ratio_latex = sp.latex(trap.omega_r_tweezer / trap.omega_ax_tweezer)\n",
"display(Math(f\"{_aspect_ratio_latex} \\\\approx {trap.subs(aspect_ratio).evalf():.2f}\"))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 250x250 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_solutions(trap,150,-0.5*zr,1.9*zr,n_pot_steps=200,display_plot=-2,state_mult=1e3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Find appropriate step sizes for the spilling sweep:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.31666666666666704"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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umbVcGbvy1CQ6Uq/f1IPigVKUDwCA1036do3mrN2tyBo2vX5zTzWKjrQ6EgII5QMA4FUfLtmi1HkbJEnPDuyiTvExFidCoKF8AAC8ZummvRo7+3+SpHsuTNbfOsdZnAiBiPIBAPCKvflFunPmchW53OrfsYlGXZhsdSQEKMoHAOCUud2m7v/PCu1wFOq0hrX07MAustmMEz8R1RLlAwBwyl6fv0Fz1u5WRJhNLw/urloRXMkBx0b5AACckqWb9mnyd2slSY8O6KB2Tbk6NY6P8gEAOGn7C4p093vL5HKbGtAlToPOSLA6EoIA5QMAcFJM09QDH/6hbTmFalG/pp66qqMMg3UeODHKBwDgpKQt2KgfV+9SuN2mqYO7l96zBTgRygcAoMq27C3QpG/XSJL++bd26tiMC4mh8igfAIAqe2Vuhopdpnol1deQsxKtjoMgQ/kAAFRJ1r4CfbgkS5J0X7/WrPNAlVE+AABV8urc9Spxe0Y9eraItToOghDlAwBQadv2H9B/lmyRJN3Tl8un4+RQPgAAlfbaz+tV7DJ11mmxOvO0+lbHQZCifAAAKmVHTqHeX3Rw1IObxuEUUD4AAJXy2s/rVeRy64wWsTqbUQ+cAsoHAOCEdjkKNWvRZknSvf2SOcMFp4TyAQA4rqws6eGpO5S/N1w9EuvpnFaMeuDUcM9jAMAxpaVJI0aYcrtbSEaikh7PY9QDp8wwTdO0OsSRHA6HYmJilJOTo+hobssMAP6UlSWlp0vJyZ5LqPfqGiXTPFw27HZTmZmG4uMtDImAVJX3b0Y+AKAaOrJkHCoSh0c5DMkwVafndplmqzLPc7kMZWSI8oFTQvkAgBB3dNE4smQYNlOXjMhSjRa79MUj3aVDoxymodzFLSXDPLxNkt0uJSVZ9AdByGDBKQCEsLQ0KTFR6ttXSkw01T9lh24bfnB0Q5LpNvTttGb6daFRpmR42PTA/Ybsds8ju12aNo1RD5w61nwAQIjKyvIUjkNFw8Otiv7def+kPXr+kdgy+9rtUmam578zMjwjHhQPHAtrPgCgmjNNU9O/yZbb3fCor9hkGOZRi0ilUYPrq119aeRIyeUqP8pB6YA3Me0CACFmd65Tt89YqteWr/Ss2TiC3S5NnlzxVEpKimekY84cz+eUFL9HRzXBtAsAhJAvV27TPz/9n/YVFCvMZuj0oh768IVGcrmM0qKRkuKZkmEqBd7EtAsAVEOTv12jV+aulyS1axqt5wZ2Ufu4aD0zqnzRiI+ndMA6lA8ACAEzf99UWjzu7puku/smKzzMM7NO0UCgoXwAQJCbs3aX/vXZn5Kk+/q11r39uN09AhsLTgEgiP21zaG7Zi6Ty23qmu7xuudCrgCGwEf5AIAgtT3ngG6dvlj5RS6d06q+Jl7diZu+IShQPgAgCOUWFmvYW4u1w1Go5Ea19eqQHqVrPIBAx08qAAQZt9vU3bOWa82OXDWoHaE3bzldMVE1rI4FVBrlAwCCzMfLsjR37W5F1rApbWhPJcTWtDoSUCWUDwAIIo7CYk36do0kz5ktXRLqWhsIOAmUDwAIIi/+mK7svCKd1rCWhvVqaXUc4KRQPgAgSKzbmavpCzMlSY8O6MACUwQtfnIBIAiYpqnxn/8pl9vURe0bq3fro+9WCwQPygcABIFv/rdDC9fvUXiYTf/6W3ur4wCnhPIBAAHuQJFLT361WpJ0e+9WnN2CoEf5AIAA9+rcDG3df0DN6kbp/3q3sjoOcMooHwAQwDbvKdBr8zZIksZd3k5R4XaLEwGnjvIBAAHKNE2N/XSVikrcOjepgS7t2MTqSIBXUD4AIEDN/H2z5qdnKyLMpglXdOCmcQgZlA8ACECb9xToqa89i0wfurStWjWsbXEiwHsoHwAQYNxuUw9+9IcKilw6s2Wshp3TwupIgFdRPgAgwExfmKnfN+5VzXC7nrm2i2w2plsQWigfABBA1u/OK71x3D8ua6fm9bmmB0JPmNUBAAAemzabGjolU/lF4bqgR23deGZzqyMBPkH5AIAAkJYmDR8hme6OktFBXV8s5uwWhCyfTLts3bpVQ4YMUf369VWzZk117dpVS5cu9cVLAUDQW7nWqeHDTZnug2XDNPTwfeHKyrI2F+ArXh/52Ldvn3r16qULLrhA33zzjRo1aqT169erbt263n4pAAhKWVlSerrU8jS35mZt0oTUbJnm6WX2cbmkjAwpPt6ikIAPeb18TJo0SQkJCXrrrbdKt7Vo0cLbLwMAQeFQ0UhO9hSJtDRpxAjJ7ZZkGIq9JFdRLR2SYUrm4WkWu11KSrIuN+BLXp92+fzzz9WzZ08NHDhQjRo1Urdu3fT6668fc3+n0ymHw1HmAwCCTVaWNGeOykyVpKVJiYmm+vaVmieaunjYDt023PQUD0kyDe39rpMe6t9GqdM8hUPyfJ42jVEPhC7DNE3Tm98wMjJSkjR69GgNHDhQixYt0qhRozRt2jTdfPPN5fYfP368JkyYUG57Tk6OoqOjvRkNAHziyNEMm83UfRMcsjffpcm3JJUZzZDcqujffHPmSH36eIpLRoZnxIPigWDjcDgUExNTqfdvr5eP8PBw9ezZUwsXLizdds8992jx4sX69ddfy+3vdDrldDpLHzscDiUkJFA+AASFrCzP6IbbfUTJMNxqMGCFsj/vXm5/wzBlHjW9kplJ2UDwq0r58Pq0S9OmTdW+ffsy29q1a6fNmzdXuH9ERISio6PLfABAMHC7Tb39bXbZ4iFJpk29WsXKsJX9t53dLk2ebDC9gmrP6wtOe/XqpbVr15bZtm7dOiUmJnr7pQDAEqZpal56tiZ/u0Z/rCmSjL7lFotOHd1CAzpII0d6zlw5VDRSUqQbbmB6BdWb18vHfffdp3POOUdPPfWUrrvuOi1atEipqalKTU319ksBgN/lOUt058xl+nndbklS3YZhOu++XfrwxUZyuYwyoxkpKdIll5QvGvHxlA5Ub15f8yFJX375pR555BGlp6erZcuWGj16tIYPH16p51ZlzggA/CnfWaJb3lqkxZn7FB5m001nJeqOPq1Uv3YEi0VR7Vm64PRUUT4ABKIDRS4Nm75Iv23YqzqRYZp525nqHF/X6lhAwLB0wSkAhJrCYpdue2exftuwV7UjwvTOrWdQPIBTQPkAgOMoLHZpxLtL9UvGHtUKt+vtW09Xt+b1rI4FBDXKBwAcg7PEpTtmLtO8dbsVVcOut4adoR6JsVbHAoIe5QMAjuHxL//ST2t2KbKGTWm39NQZLSkegDdQPgCgAgvXZ2vGb56LI756Yw+d06qBxYmA0EH5AICjFBSVaMzHqyRJN57ZXBe0bWRxIiC0UD4A4CjPfLdWm/cWKC4mUmP6t7U6DhByKB8AcIQlmXs1fWGmJGniNZ1VJ7KGtYGAEET5AICDCotdeuijlTJNaWCPePVu3dDqSEBIonwAwEHP/7hOG7Lz1ahOhMZd3v7ETwBwUigfACBpxZb9en3eBknSk1d1UkxNplsAX6F8AKj2PNMtf8htSld0jdNF7RtbHQkIaZQPANXeY1/+pXU789SgdrgeHdDB6jhAyKN8AKjWvvhjm977fbMMQ5pyXVfF1gq3OhIQ8igfAKqtjdn5euQTz8XE7uyTpPM5uwXwC8oHgGqpsNilO2cuU56zRGe0iNWofslWRwKqDcoHgGrpya9W66/tDsXWCte/B3VTmJ1fh4C/8LcNQLXz9arteve3TZKkKdd1UZOYSIsTAdUL5QNAtbJpT74e/milJOn23q3Upw03jQP8jfIBoNo4UOTS/81YplxniXom1tP9F7e2OhJQLVE+AFQLpmlq7OxV+mu7Q/Vrheulwd1Ug3UegCX4mwegWnj3t036ZPlW2W2GXhrcTU1joqyOBFRblA8AIW9J5l499sVfkqQxl7bVOa0aWJwIqN4oHwBC2i5Hoe6YuUwlblOXd26q285raXUkoNqjfAAIellZ0pw5ns9H2rjJrYGPZmjbVkOtG9fW5Gs6yzAMa0ICKBVmdQAAqIqsLCk9XUpOluLjpbQ0acQIye2WbDZTjz3r1HmX5+q9d+xKfaqeTLOjZHTQXVOcqhXBrzwgEBimaZpWhziSw+FQTEyMcnJyFB0dbXUcAAHk6KJx7e379OGr9WSaR4xmGG41GbJQO2b0ko7YbrdLmZmewgLA+6ry/s20C4CgsGpdkYaPMOV2ex673Yb+80rdssVDkkyboh1NyhQPSXK5pIwMP4UFcFyUDwAByzRNLVyfrbtnLVf/Cctluo9er2GTYZQdvLXbpRljk2Q76reb3S4lJfk2L4DKoXwACEi/bdijvs/9rMGv/64v/tgmxeRJFRSNyZMN2e2HH0+bJp1+upSaqnLbmXIBAgNrPgAEnKWb9mrIG4t0oNil2hFhuqJrnAad0Vy/fxujkSM9UyiHCkVKimcRakaGZ2TjyIJxrO0AvK8q79+UDwAB5c9tOboh9TflFpbovOQGem1IjzJnqVAogMBUlfdvzjsDEDAyduXp5rRFyi0s0ekt6mnaTT1UM7zsr6n4eEoHEOxY8wEgIGzZW6Ahb/yuPflF6tQsRmm3nF6ueAAIDZQPAJbb6SjUjW/8rh2OQiU3qq23bz1D0ZE1rI4FwEcoHwAslVtYrJvSftfmvQVqHltTM247U7G1wq2OBcCHKB8ALON2m7rvgxVatzNPjaMjNPO2M9U4OtLqWAB8jPIBwDLP/7hOP67epfAwm16/uacSYmtaHQmAH1A+AFjim1Xb9dJPnuudP311J3WOr2ttIAB+Q/kA4Hdrdjh0/4d/SJJSzm2pq7tz7ixQnVA+APjV/oIijXhnqQqKXOqVVF+P9G9rdSQAfkb5AOA3JS637npvuTbvLVBCbJSmDuquMDu/hoDqhr/1APzmpZ8ytCAjW1E17Eq9qafqcUotUC1RPgD4xYbdeXp17npJ0tPXdFK7pty7CaiuKB8AfM40Tf3rsz9V5HKrd+uG+nuXOKsjAbAQ5QOAz321arsWZGQrPMymCX/vIMMwrI4EwEKUDwA+lVtYrMe++EuSdEefVmrRoJbFiQBYjfIBwKde+DFdu3KdalG/pm7v3crqOAACAOUDgM/8tc2h6QszJUmPXdFRkTXs1gYCEBAoHwB8wu02Ne7TVXK5TV3eqanOb93Q6kgAAgTlA4BPfLh0i5Zt3q9a4Xb982/trY4DIIBQPgB43cbsfE38Zo0k6b6LWqtJTKTFiQAEEsoHAK/alVuom9/8XfsLitUlPkZDz2lhdSQAAYbyAcBrcguLNeytxdqy94AS69fUG0NPVw3u3QLgKPxWAOAVRSVu3T5jqf7c5lCD2uF659Yz1LBOhNWxAASgMKsDAAhuWVnS2rWmZq7+S79k7VHNcLveuuUMJdbnYmIAKubzkY+JEyfKMAyNGjXK1y8FwM/S0qTERKlfP0Nv3dNBBasS9NqQHuoUH2N1NAABzKcjH4sXL1Zqaqo6d+7sy5cB4CdZWVJ6upScLOU7SzR8hF2m++B9WkxDe77tpNOmcd8WAMfns5GPvLw83XjjjXr99ddVr149X70MAB/IypLmzPF8PsQzymGqb1+peXNTZ9+4+XDxOMjtNpSR4eewAIKOz8rHnXfeqcsvv1z9+vU77n5Op1MOh6PMBwD/ObpolCkZiaauvW+7bvr3St023JT7YNkwTUP7fm8hGWaZ72W3S0lJfv4DAAg6Pikf77//vpYtW6aJEyeecN+JEycqJiam9CMhIcEXkQBU4NCajb59PYXjmjuyy5YMt6GPX2ysb/9bIplHT6fY9MD9nsIheT5PmybFx/v3zwAg+BimaZon3q3ytmzZop49e+r7779Xly5dJEl9+vRR165d9cILL5Tb3+l0yul0lj52OBxKSEhQTk6OoqOjvRkNwBGysjyFw11m6sStiv5NMnLCTr0+oVGZfe12KTPT898ZGZ4RD4oHUH05HA7FxMRU6v3b6wtOly5dql27dqlHjx6l21wul+bNm6epU6fK6XTKbj98Z8uIiAhFRHAtAMCfcgqKNf7dbXK7E4/6ik2GYco0y5aMcbc21unNpJEjJZer/CgHpQNAVXi9fFx44YVatWpVmW3Dhg1T27Zt9fDDD5cpHgD8q7DYpXd/3aSpczK0Z6ddMpqXmU6x26WnnzY0Zkz5kpGSIl1yCaMcAE6d18tHnTp11LFjxzLbatWqpfr165fbDsB/Fm3cq/s+WKGt+w9IkjokR2rQ47l6/tE6crmM0qKRkiLdcEPFJSM+ntIB4NRxhVOgGli4Plsp05foQLFLTaIjNfri1rqme7zsNkP3Di1fNCgZAHzJL+Vj7ty5/ngZABVYmJGtW99erMJit3q3bqjXhvRQVPjh6U+KBgB/Y+QDCGEL0rOV8vZiOUvcuqBNQ706pIcia7DuCoC1KB9AiJq3breGv7NEzhK3LmzbSK8M6a6IMIoHAOtRPoAQ9PPB4lFU4la/do318o3dKB4AAgblAwgxa3fkauS7nuJxUfvGenlwd4WH+fwG1gBQafxGAkLIgSKX7npvmQqL3TovuQHFA0BA4rcSEEIe+/JPpe/KU8M6EXr++q4UDwABid9MQIj44o9tmrVoiwxDeuH6rmpQm9sWAAhMlA8gBGzeU6B/fOK5rcGdfZLUK6mBxYkA4NgoH0CQKypx6+73lyvXWaKeifU0ql+y1ZEA4LgoH0CQe+77tfpjy35FR4bpxUHdFGbnrzWAwMZvKSCILUjP1rR5GyRJk6/tomZ1oyxOBAAnRvkAgthLP6VLkgaf2VyXdmxicRoAqBzKBxCkMnbl6veNe2UzpLv7JlkdBwAqjfIBBKmZv2+WJF3YrrGaxjDdAiB4UD6AIFRY7NLHS7MkeaZcACCYUD6AIPTlyu1yFJYovl6Uzk9uaHUcAKgSygcQhN77fZMkadAZzWW3GRanAYCqoXwAQeavbQ4t27xfYTZDA3vGWx0HAKqM8gEEmfcWeUY9LunQRI3qRFqcBgCqjvIBBJF8Z4k+Xb5NEgtNAQQvygcQRD7/Y5vynCVq2aCWzj6tvtVxAOCkUD6AIDLz4ELTwWc0l42FpgCCFOUDCBI/LM7RkoU1ZOTX1DU9WGgKIHiFWR0AQFlZWVJ6upScLMUf7BhvvGFqxIhomeZZMgxTs7saSkmxNicAnCzKB+AHFRWKiranpUkjRkhut2SzmRo0erdccdv1/v2dJdMzzWKahkaOlC65pOz3AoBgwbQL4GNpaVJiotS3r+dzWpqUc6BYjz1XoOaJpvr2lZo3N3XO4CzdNtyU2+15ntttaOZzDfTjXFdp8TjE5ZIyMiz4wwCAF1A+AC/LypLmzPF83rzZ1IgRRxYK6bbhptqO/F2PPhgl0314NOPXWXHlSoZMm67pESebzSyz2W6XkriRLYAgRfkAvMgzynF4NKPnoEy53UcXCkPOrfXKFw3ZZBjlS8a4W5soNdWQ3X5427RpTLkACF6UD8BLNmS6NXyEWVo2TNPQ7oWJ0lGFwmY39dljbWQ76m+f3S5NnlxxyUhJkTIzPSMqmZlisSmAoEb5ALxg2eZ9un7yqtJplMNsGj3aLFMoUqcZOq9XmFJTVa5oPPDAsUtGfLzUpw8jHgCCn2Gapnni3fzH4XAoJiZGOTk5io6OtjoOcFx5zhI98+0avfPbJhXnRGrra33LTKfY7Z4SIXkWiCYllT/bpaLtABBsqvL+zam2wElaummv7npvubbnFEqSru/TQIkdXRp9T5hcrvJrMyoqF/HxlA4A1Q/lAzgJv2/Yo2HTF6ugyKXmsTX11FWddG5yA0nS1X9nNAMAjofyAVTRbxv2aNhbi3Wg2KXzkhto2k09VDP88F8lRjMA4PgoH0AVLFyfrZTpS0qLx+s391RkDbvVsQAgqFA+gEr6JSNbKW8vVmGxW71bN9S0m3pQPADgJFA+gEpYkO4pHs4Sty5o01CvDqF4AMDJonwAJ5CxK0/D31kiZ4lbF7ZtpFeGdFdEGMUDAE4WFxkDjsNZ4tK97y/XgWKXzj6tPsUDALyA8gEcx7PfrdWf2xyKrRWuF2/oSvEAAC+gfADHMG/dbr0+f6MkadI1ndUoOtLiRAAQGigfQAX25Dl1/4d/SJJuOitRF7VvbHEiAAgdlA/gKKZp6qGPVmp3rlPJjWpr7OXtrI4EACGF8gEc5d3fNum/a3YpPMymfw/qxim1AOBllA/gCGt35OqJr1ZLkv7Rv63aNeXOygDgbZQP4KB8Z4numLlURQcvJDb0nBZWRwKAkET5AORZ5zHu0/9p/e58NY6O0LMDu8gwDKtjAUBIonwAkj5YvEWzl2+V3WbopUHdVb92hNWRACBkUT5Q7a3e7tCjn/8pSbr/4tY6o2WsxYkAILRRPlCt5TlLdOfMZaU3jLv9/FZWRwKAkEf5QLVlmqb+8ckqbcjOV9OYSD13XVfZbKzzAABfo3yg2npv0WZ9/se2g+s8uim2VrjVkQCgWgizOgDgby63qak/ZejF/66TJD10SRv1bME6DwDwF8oHqpXtOQc06v0V+n3jXknS9T0TNPy80yxOBQDVC+UDIS8rS0pPl7abuzV5wXLtLyhWrXC7Hr+yo67uHm91PACodigfCGlpadKIEabcbkMyGij2kiY6+7IcvTSou1o2qGV1PAColry+4HTixIk6/fTTVadOHTVq1EhXXnml1q5d6+2XAU5oyxZTww8VD0kyDe37vpNeHHAOxQMALOT18vHzzz/rzjvv1G+//aYffvhBJSUluvjii5Wfn+/tl0I1lpUlzZnj+VzR9p+W5OrmF/6S6S576qzpNrQlk7vUAoCVvD7t8u2335Z5/NZbb6lRo0ZaunSpzj//fG+/HKqBQ2s2kpOl+PhDUymS2y3ZbFJqqpSSIqW+7tb/3W4cnGKprbq9bZJhSubhAmK3S0lJFv5hAAC+v85HTk6OJCk2tuJTGZ1OpxwOR5kP4JC0NCkxUerbV0pMNPWPCc6DUymer7vd0m3DTSWP+FUjRxplplhy5rXV2EeLZT840GG3S9OmeQoMAMA6hmmapq++uWmauuKKK7Rv3z7Nnz+/wn3Gjx+vCRMmlNuek5Oj6OhoX0VDENiyxVSLFjpcKCRJblXUmev1/VP7fupQbvucOZ6RjowMz2eKBwD4hsPhUExMTKXev31aPu6880599dVXWrBggeKP8Vvf6XTK6XSWPnY4HEpISKB8VGPpO3P1+R/b9M7HBVqZ2q38DkdNpdhspv7zVYGuu7xmmaJit0uZmRQOAPCHqpQPn51qe/fdd+vzzz/XvHnzjlk8JCkiIkIREdy+vLrbm1+kT5Zl6eNlW7V6u2fqrcQeWcGaDVNPP21ozBjJ5To0lWLomktrKTVVGjnyyO0UDwAIRF4f+TBNU3fffbdmz56tuXPnKjk5uUrPr0pzQnBzuU0tyMjWfxZv0fd/7VCxy/OjWMNu6Pzkhvp71zht/a2J7rnLXqZQpKR4FqFWNJVyrO0AAN+ydNrljjvu0HvvvafPPvtMbdq0Kd0eExOjqKioEz6f8lE9zPhtk16du15b9x8o3dY5PkbX9UzQ3zo3Vd2ah2/yRqEAgMBnafkwjIpvSf7WW2/plltuOeHzKR+hb0F6toak/S5Jiomqoau6NdN1PRPUPo7/3wAQrCxd8+HD9asIAc4Sl/712f8keW7qNuGKDoqswUW/AKA68fl1PoAjvTF/ozZk56tB7QiN/Vs7igcAVEOUD/hN1r4CvfRTuiRp7OVtFR1Zw+JEAAArUD7gN49/+ZcKi906o2WsruzazOo4AACLUD7gF3PW7tJ3f+6U3Wbo8Ss6HnNhMgAg9FE+4HOFxS6N//xPSdKtvVqoTZM6FicCAFiJ8gGfm/bzBm3aU6DG0RG6t19rq+MAACxG+YBPbd5ToFfmZkiSxl3eXrUjfHZFfwBAkKB8wGcKi126+/3lcpa4dW5SA/2tc1OrIwEAAgDlAz5hmqb++en/9MeW/YqJqqGnrurEIlMAgCTKB3zk3d826cOlWbIZ0tTB3dS8fk2rIwEAAgTlA173+4Y9euyLvyRJY/q31XnJDS1OBAAIJJQPeNW2/Qd0x8xlKnGb+nuXOA0/7zSrIwEAAgzlA15TWOzSyHeXak9+kdo3jdakazqzzgMAUA7lA15hmqb+8ckqrdqao3o1a2jaTT0UFc5N4wAA5VE+cMpM09RTX6/WJ8u3ym4z9PLg7kqIZYEpAKBilA+cspd+ytDr8zdKkiZe1UnnJDWwOBEAIJBRPnBK3lywUVN+WCdJ+uff2uu60xMsTgQACHSUD5y0/yzeose+9JxSe1+/1ko5t6XFiQAAwYDygZPy5cptGvPJSknS8PNa6p4LkyxOBAAIFpQPVNmcNbs06v0VcpvSoDMS9I/L2nFKLQCg0igfqJJf1+/R7TOWqsRtakCXOD1xJfdsAQBUDeUDlbZ88z7d9vZiOUvc6teukaZc10V2G8UDAFA1lA9Uyl/bHBr65iLlF7nUK6m+pg7urhp2fnwAAFUXZnUA+F9WlpSeLiUnS/Hxx9+elSXNXXxAk35ZodywEvVIrKfUm3oqsgZXLwUAnBzKR4iobKFIS5NGjJDcbslmk1JTpZSU8tunTTPlNk393+2G3O4oyThPna5P15uPtlStCH5sAAAnzzBN07Q6xJEcDodiYmKUk5Oj6Ohoq+MEpBMVitdeM/X3652a+mqJnvxHLZluQ4bN1IU379B/324i0zxinYZhqtP/LdGqV3tKR26XWzKMMtvsdlOZmUaZcgMAgFS192/+CRtkyhYNU7eNztXrU+rIdHtKgtstjRgp/Wv+Eu2Y0au0PJhuQz9ObyzpqAWipqGsNTWPKh6SZJOOqqUul6GMDFE+AACnhBWDQSQrSxo+wpTb7XnsdhtKfbZ2afEoZRoq2hZbYaEwjLKNwmYz9e9RCbLZym8/epvdLiVxLTEAwCmifAQJ0zT17IdbyxcN2STj6JJg6osn2sp21P9du12aPNmQ3X74cWqqoSEDopWaWn770dumTWPUAwBw6ph2CQJFJW6Nnb1KH6VnS0bcUeswpKefNjRmjORyHSoJhs45y1BqqjRy5JHbPYtLb7hBysjwjGIcKhMpKdIll5TfXtE2AABOBQtOA9z+giLdPmOpftuwVzZD6qMz9c4zDcoViqysikvCsbYDAOBNVXn/pnwEsMzsfN06fbE2ZOerdkSYXhrcTRe0aUShAAAEHM52CXI5B4r1xvwNSluwUQVFLjWrG6W0W3qqbRPP/8z4eEoHACB4UT4CyIEil6YvzNRrP69XzoFiSVLPxHp6ZUh3NaoTaXE6AAC8g/IRAIpdbs1atFkv/ZSh3blOSVJyo9q6/+I2uqRDY+4aCwAIKZQPiy3auFfjPl2ldTvzJEkJsVG6r19rXdG1GXeMBQCEJMqHRfbkOfXU12v08bIsSVJsrXDd1y9Z15/eXOFhXH4FABC6KB9+5naben/xFk36dk3puo5BZzTXw5e2Ud2a4RanAwDA9ygffmSapka8u0Q/rt4lSWrXNFpPXtVR3ZvXszgZAAD+Q/nwo3U78/Tj6l2qYTc0pn87DT07UWF2plgAANUL5cOP5qfvliSd06qBUs5taXEaAACswT+7/Wh+erYk6bzkBhYnAQDAOpQPPyksdun3jXskSee3bmhxGgAArEP58JOlm/apsNitxtERSm5U2+o4AABYhvLhJ/MOrvc4N6khVywFAFRrlA8/WXBwvcf5rVnvAQCo3igffpCd59Sf2xySpF5JlA8AQPVG+fCDXzI8ox7tm0arQe0Ii9MAAGAtyocfzFt38BRbplwAAKB8+JppmqUXFzs/mVNsAQCgfPhY+q487cp1KrKGTT0SuYcLAACUDx+bt84z6nFGy/qKrGG3OA0AANajfPjYoUuqn88l1QEAkET58KkjL6l+Hus9AACQRPnwqUOXVG9UJ0KtG3NJdQAAJB+Wj1deeUUtW7ZUZGSkevToofnz5/vqpQLWoSmXc5MbcEl1AAAO8kn5+OCDDzRq1CiNHTtWy5cv13nnnaf+/ftr8+bNvni5gMUptgAAlOeT8jFlyhSlpKTotttuU7t27fTCCy8oISFBr776qi9eLiBxSXUAACoW5u1vWFRUpKVLl2rMmDFltl988cVauHBhuf2dTqecTmfpY4fD4e1IkqRil1vD3lrsk+9dkf0HiiR5LqnesA6XVAcA4BCvl4/s7Gy5XC41bty4zPbGjRtrx44d5fafOHGiJkyY4O0Y5ZimtODgPVb8qV+7Rn5/TQAAApnXy8chRy+wNE2zwkWXjzzyiEaPHl362OFwKCEhwet57DZDL97Q1evf93gia9jVuzXrPQAAOJLXy0eDBg1kt9vLjXLs2rWr3GiIJEVERCgiwvfTEnaboSu6NvP56wAAgOPz+oLT8PBw9ejRQz/88EOZ7T/88IPOOeccb78cAAAIMj6Zdhk9erRuuukm9ezZU2effbZSU1O1efNm3X777b54OQAAEER8Uj6uv/567dmzR4899pi2b9+ujh076uuvv1ZiYqIvXg4AAAQRwzRN0+oQR3I4HIqJiVFOTo6io6OtjgMAACqhKu/f3NsFAAD4FeUDAAD4FeUDAAD4FeUDAAD4FeUDAAD4FeUDAAD4FeUDAAD4FeUDAAD4FeUDAAD4lU8ur34qDl1w1eFwWJwEAABU1qH37cpcOD3gykdubq4kKSEhweIkAACgqnJzcxUTE3PcfQLu3i5ut1vbtm1TnTp1ZBhGlZ7rcDiUkJCgLVu2cF+Y4+A4nRjH6MQ4RpXDcToxjtGJBcMxMk1Tubm5iouLk812/FUdATfyYbPZFB8ff0rfIzo6OmD/5wQSjtOJcYxOjGNUORynE+MYnVigH6MTjXgcwoJTAADgV5QPAADgVyFVPiIiIvToo48qIiLC6igBjeN0YhyjE+MYVQ7H6cQ4RicWasco4BacAgCA0BZSIx8AACDwUT4AAIBfUT4AAIBfUT4AAIBfBVX5mDdvngYMGKC4uDgZhqFPP/30uPtv375dgwcPVps2bWSz2TRq1Ci/5LRSVY/RJ598oosuukgNGzZUdHS0zj77bH333Xf+CWuRqh6jBQsWqFevXqpfv76ioqLUtm1bPf/88/4Ja6GqHqcj/fLLLwoLC1PXrl19li8QVPUYzZ07V4ZhlPtYs2aNfwJb4GR+jpxOp8aOHavExERFRESoVatWevPNN30f1kJVPU633HJLhT9LHTp08E/gUxRU5SM/P19dunTR1KlTK7W/0+lUw4YNNXbsWHXp0sXH6QJDVY/RvHnzdNFFF+nrr7/W0qVLdcEFF2jAgAFavny5j5Nap6rHqFatWrrrrrs0b948rV69WuPGjdO4ceOUmprq46TWqupxOiQnJ0c333yzLrzwQh8lCxwne4zWrl2r7du3l34kJyf7KKH1TuYYXXfddfrvf/+rtLQ0rV27VrNmzVLbtm19mNJ6VT1OL774YpmfoS1btig2NlYDBw70cVIvMYOUJHP27NmV3r93797mvffe67M8gaiqx+iQ9u3bmxMmTPB+oAB0ssfoqquuMocMGeL9QAGqKsfp+uuvN8eNG2c++uijZpcuXXyaK5BU5hjNmTPHlGTu27fPL5kCTWWO0TfffGPGxMSYe/bs8U+oAHQyv5dmz55tGoZhZmZm+iaUlwXVyAd8z+12Kzc3V7GxsVZHCVjLly/XwoUL1bt3b6ujBJy33npL69ev16OPPmp1lIDWrVs3NW3aVBdeeKHmzJljdZyA8vnnn6tnz56aPHmymjVrptatW+uBBx7QgQMHrI4W0NLS0tSvXz8lJiZaHaVSAu7GcrDWc889p/z8fF133XVWRwk48fHx2r17t0pKSjR+/HjddtttVkcKKOnp6RozZozmz5+vsDB+tVSkadOmSk1NVY8ePeR0OvXuu+/qwgsv1Ny5c3X++edbHS8gbNiwQQsWLFBkZKRmz56t7Oxs3XHHHdq7d2/Ir/s4Wdu3b9c333yj9957z+oolcZvCJSaNWuWxo8fr88++0yNGjWyOk7AmT9/vvLy8vTbb79pzJgxSkpK0qBBg6yOFRBcLpcGDx6sCRMmqHXr1lbHCVht2rRRmzZtSh+fffbZ2rJli5599lnKx0Fut1uGYWjmzJmld0idMmWKrr32Wr388suKioqyOGHgmT59uurWrasrr7zS6iiVRvmAJOmDDz5QSkqKPvzwQ/Xr18/qOAGpZcuWkqROnTpp586dGj9+POXjoNzcXC1ZskTLly/XXXfdJcnzJmKapsLCwvT999+rb9++FqcMTGeddZZmzJhhdYyA0bRpUzVr1qzMrdnbtWsn0zSVlZUV0otzT4ZpmnrzzTd10003KTw83Oo4lUb5gGbNmqVbb71Vs2bN0uWXX251nKBgmqacTqfVMQJGdHS0Vq1aVWbbK6+8op9++kkfffRRaXFDecuXL1fTpk2tjhEwevXqpQ8//FB5eXmqXbu2JGndunWy2WyKj4+3OF3g+fnnn5WRkaGUlBSro1RJUJWPvLw8ZWRklD7euHGjVqxYodjYWDVv3lyPPPKItm7dqnfeead0nxUrVpQ+d/fu3VqxYoXCw8PVvn17f8f3i6oeo1mzZunmm2/Wiy++qLPOOks7duyQJEVFRZX5l0coqeoxevnll9W8efPSU/0WLFigZ599Vnfffbcl+f2lKsfJZrOpY8eOZZ7fqFEjRUZGltseSqr6s/TCCy+oRYsW6tChg4qKijRjxgx9/PHH+vjjj636I/hcVY/R4MGD9fjjj2vYsGGaMGGCsrOz9eCDD+rWW28N6SmXk3l/kzwLTc8888zg+3tm7ck2VXPoNLWjP4YOHWqapmkOHTrU7N27d5nnVLR/YmKi37P7S1WPUe/evY+7fyiq6jH697//bXbo0MGsWbOmGR0dbXbr1s185ZVXTJfLZc0fwE9O5u/bkarDqbZVPUaTJk0yW7VqZUZGRpr16tUzzz33XPOrr76yJryfnMzP0erVq81+/fqZUVFRZnx8vDl69GizoKDA/+H96GSO0/79+82oqCgzNTXV/4FPkWGapumTVgMAAFABrvMBAAD8ivIBAAD8ivIBAAD8ivIBAAD8ivIBAAD8ivIBAAD8ivIBAAD8ivIBAECQmjdvngYMGKC4uDgZhqFPP/3Up683fvx4GYZR5qNJkyZV/j6UDwAAglR+fr66dOmiqVOn+u01O3TooO3bt5d+HH1fp8oIqnu7AACAw/r376/+/fsf8+tFRUUaN26cZs6cqf3796tjx46aNGmS+vTpc9KvGRYWdlKjHUdi5AMAgBA1bNgw/fLLL3r//fe1cuVKDRw4UJdeeqnS09NP+nump6crLi5OLVu21A033KANGzZU+XtwbxcAAEKAYRiaPXu2rrzySknS+vXrlZycrKysLMXFxZXu169fP51xxhl66qmnqvwa33zzjQoKCtS6dWvt3LlTTzzxhNasWaM///xT9evXr/T3YeQDAIAQtGzZMpmmqdatW6t27dqlHz///LPWr18vScrMzCy3gPToj7vuuqv0e/bv31/XXHONOnXqpH79+umrr76SJL399ttVysaaDwAAQpDb7ZbdbtfSpUtlt9vLfK127dqSpGbNmmn16tXH/T716tU75tdq1aqlTp06VXkah/IBAEAI6tatm1wul3bt2qXzzjuvwn1q1Kihtm3bnvRrOJ1OrV69+pjf/1goHwAABKm8vDxlZGSUPt64caNWrFih2NhYtW7dWjfeeKNuvvlmPffcc+rWrZuys7P1008/qVOnTrrsssuq/HoPPPCABgwYoObNm2vXrl164okn5HA4NHTo0Cp9HxacAgAQpObOnasLLrig3PahQ4dq+vTpKi4u1hNPPKF33nlHW7duVf369XX22WdrwoQJ6tSpU5Vf74YbbtC8efOUnZ2thg0b6qyzztLjjz+u9u3bV+n7UD4AAIBfcbYLAADwK8oHAADwK8oHAADwK8oHAADwK8oHAADwK8oHAADwK8oHAADwK8oHAADwK8oHAADwK8oHAADwK8oHAADwK8oHAADwq/8H6es+ec+QlSYAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"powers, atom_number = sweep_power_old(trap, -2.5*si.G/si.cm, 0.075*si.uW, 100, -0.5*zr, 1.9*zr,max_spill_steps=200)\n",
"calculate_stepsize(powers,atom_number,plot=True)/si.uW"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.1388888888888378"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"powers, atom_number = sweep_power_old(trap, 10*si.G/si.cm, 0.55*si.uW, 100, -0.5*zr, 1.9*zr,max_spill_steps=200)\n",
"calculate_stepsize(powers,atom_number,plot=True)/si.uW"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.007333333333333339"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gradients, atom_number = sweep_gradient_old(trap, 12*si.uW, 0.0015*si.G/si.cm, 50, -0.5*zr, 1.9*zr,max_spill_steps=200)\n",
"calculate_stepsize(gradients,atom_number,plot=True)/si.G*si.cm"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.047777777777777794"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gradients, atom_number = sweep_gradient_old(trap, 237*si.uW, 0.01*si.G/si.cm, 50, -0.5*zr, 1.9*zr,max_spill_steps=200)\n",
"calculate_stepsize(gradients,atom_number,plot=True)/si.G*si.cm"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now do this for different gradients:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
" 4%|▍ | 1/25 [03:55<1:34:14, 235.60s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For -2.5G/cm (11.10456754509157uW): dB'=0.007333333333333329G/cm (rel: 0.29333333333333317%), dP = 0.31666666666666704uW (rel: 2.8516794137259294%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 8%|▊ | 2/25 [09:26<1:51:42, 291.40s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For -1.9791666666666665G/cm (27.774803929743275uW): dB'=0.011743055555555548G/cm (rel: 0.593333333333333%), dP = 0.48449074074073856uW (rel: 1.744353414577702%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 12%|█▏ | 3/25 [15:34<1:59:48, 326.73s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For -1.4583333333333335G/cm (44.445040314394966uW): dB'=0.01643981481481481G/cm (rel: 1.127301587301587%), dP = 0.649305555555539uW (rel: 1.460917913365556%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 16%|█▌ | 4/25 [22:00<2:02:30, 350.02s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For -0.9374999999999999G/cm (61.11527669904665uW): dB'=0.01964583333333333G/cm (rel: 2.0955555555555554%), dP = 0.7166666666666758uW (rel: 1.1726473401990753%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 20%|██ | 5/25 [28:31<2:01:36, 364.81s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For -0.4166666666666665G/cm (77.78551308369836uW): dB'=0.02300925925925926G/cm (rel: 5.522222222222225%), dP = 0.8736111111111415uW (rel: 1.1231025887444144%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 24%|██▍ | 6/25 [35:01<1:58:10, 373.18s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 0.10416666666666696G/cm (94.45574946835006uW): dB'=0.025803240740740745G/cm (rel: 24.771111111111043%), dP = 0.9084490740740576uW (rel: 0.9617721305344763%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 28%|██▊ | 7/25 [41:27<1:53:18, 377.67s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 0.625G/cm (111.12598585300177uW): dB'=0.02738888888888889G/cm (rel: 4.3822222222222225%), dP = 1.0333333333333414uW (rel: 0.9298755150755126%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 32%|███▏ | 8/25 [47:51<1:47:31, 379.50s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 1.1458333333333337G/cm (127.79622223765345uW): dB'=0.031833333333333345G/cm (rel: 2.7781818181818183%), dP = 1.0439814814815127uW (rel: 0.8169110660721217%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 36%|███▌ | 9/25 [54:12<1:41:22, 380.17s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 1.666666666666667G/cm (144.46645862230514uW): dB'=0.033703703703703694G/cm (rel: 2.0222222222222213%), dP = 1.2444444444444258uW (rel: 0.8614071780481007%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 40%|████ | 10/25 [1:00:30<1:34:50, 379.35s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 2.1874999999999996G/cm (161.13669500695687uW): dB'=0.03541666666666667G/cm (rel: 1.6190476190476195%), dP = 1.2656249999999725uW (rel: 0.7854356203255445%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 44%|████▍ | 11/25 [1:06:38<1:27:41, 375.83s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 2.708333333333334G/cm (177.80693139160857uW): dB'=0.038652777777777765G/cm (rel: 1.4271794871794865%), dP = 1.2736111111111326uW (rel: 0.716288786462483%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 48%|████▊ | 12/25 [1:12:45<1:20:51, 373.19s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 3.229166666666667G/cm (194.47716777626027uW): dB'=0.040768518518518516G/cm (rel: 1.2625089605734765%), dP = 1.4310185185185uW (rel: 0.7358285473207019%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 52%|█████▏ | 13/25 [1:18:53<1:14:20, 371.70s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 3.7499999999999996G/cm (211.14740416091195uW): dB'=0.0408888888888889G/cm (rel: 1.0903703703703707%), dP = 1.4930555555554925uW (rel: 0.7071152787735242%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 56%|█████▌ | 14/25 [1:25:04<1:08:06, 371.48s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 4.270833333333334G/cm (227.81764054556368uW): dB'=0.04544212962962964G/cm (rel: 1.0640108401084012%), dP = 1.6245370370370633uW (rel: 0.7130865867747211%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 60%|██████ | 15/25 [1:31:09<1:01:33, 369.35s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 4.791666666666667G/cm (244.48787693021535uW): dB'=0.04664351851851853G/cm (rel: 0.9734299516908215%), dP = 1.5648148148147945uW (rel: 0.6400377942917156%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 64%|██████▍ | 16/25 [1:37:14<55:13, 368.20s/it] "
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 5.312500000000001G/cm (261.1581133148671uW): dB'=0.046173611111111124G/cm (rel: 0.8691503267973858%), dP = 1.6114583333333747uW (rel: 0.6170431823385508%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 68%|██████▊ | 17/25 [1:43:17<48:53, 366.66s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 5.833333333333334G/cm (277.82834969951875uW): dB'=0.04586666666666669G/cm (rel: 0.7862857142857146%), dP = 1.7407407407407636uW (rel: 0.6265525971785949%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 72%|███████▏ | 18/25 [1:49:18<42:35, 365.02s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 6.354166666666668G/cm (294.4985860841704uW): dB'=0.051810185185185216G/cm (rel: 0.8153734061930786%), dP = 1.7372685185185037uW (rel: 0.589907252737022%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 76%|███████▌ | 19/25 [1:54:57<35:43, 357.19s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 6.875G/cm (311.16882246882216uW): dB'=0.05425G/cm (rel: 0.7890909090909091%), dP = 1.7729166666666083uW (rel: 0.5697603804263673%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 80%|████████ | 20/25 [2:00:29<29:07, 349.55s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 7.395833333333333G/cm (327.8390588534739uW): dB'=0.0548611111111111G/cm (rel: 0.7417840375586854%), dP = 1.9043981481480703uW (rel: 0.5808942213317029%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 84%|████████▍ | 21/25 [2:05:56<22:51, 342.80s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 7.916666666666669G/cm (344.50929523812556uW): dB'=0.055314814814814844G/cm (rel: 0.6987134502923977%), dP = 1.9356481481482413uW (rel: 0.5618565812020593%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 88%|████████▊ | 22/25 [2:11:18<16:49, 336.52s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 8.437499999999998G/cm (361.17953162277723uW): dB'=0.05859027777777778G/cm (rel: 0.6944032921810701%), dP = 2.0715277777778347uW (rel: 0.5735451752956415%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 92%|█████████▏| 23/25 [2:16:48<11:08, 334.46s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 8.958333333333336G/cm (377.84976800742896uW): dB'=0.05987962962962963G/cm (rel: 0.6684237726098191%), dP = 1.9282407407407605uW (rel: 0.5103194189874027%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
" 96%|█████████▌| 24/25 [2:22:17<05:32, 332.80s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 9.479166666666668G/cm (394.5200043920807uW): dB'=0.06216203703703703G/cm (rel: 0.6557753357753356%), dP = 2.179745370370351uW (rel: 0.5525056641244693%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 25/25 [2:27:40<00:00, 354.44s/it]"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"For 10.0G/cm (411.1902407767323uW): dB'=0.06555555555555558G/cm (rel: 0.6555555555555557%), dP = 2.1388888888888378uW (rel: 0.5201701491865439%)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"\n"
]
},
{
"data": {
"image/png": 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EH1yGMBqN+psRVxjt+nFBXSbNZ5RGq2JjHUFrGhVYc43bJ5t7+c8G9W62HNLdLMG+Z2NqXHZrXS8/3T6kwmKS8Vo7wu2TXNpGqk/AXlatssCHtzAEJT7yzEfwDcM0TBjwGBcG+PCYDyb4MAwDpqXum/nGHlILWY7bBh98yJkPLvgAAMtyKVPb5ok9E5Z7H/0C5iMe1gA+4o3ubwHzkQi7Yaz+HH+TtGpdsagj2GgjKiSXFYTk4nUuJT8gOMLBqlXzLOOwQbJpmojHXYDLrcYLANGoq8dJp/mM0mgNzMfIWnfObe4TMB/R2jxY7uEDh6aoq33rzggApg8+BGxf2EKsxh0r/V2yqs2VbhUGPtzfgV9sBMwHkGc/OGEXCMEHAJgh9zE7Nu+NzlLMh81lHdTbvoT5iEbdNw4Z+BAyHwp8SJgPP+wiYj4a3d8C5iMeUpskQ0TtmaF0OE4fP6UzHHX7QwY+5MyHN0YBmTbJAx8S5iMScRmldIb/hu4xHxslzEetx3wIN1kNoZe6iPuMezJ8gOkzH5v5onMAiNe5fTvQW2U+JFZR4MP0mQ+m5oPBXAB58MERnHrMB2wbxBQ6Wor5sHPSsIuM+XCYYR9ArvkAAMtyN8shZT78sItE86HeJAXMhw8+snzwYan0Zxn4UHMjxd/wY4r5yKYG+GPUNPIgWYMwWsJ8hEPu87Vz/I3W03xsEDAfzYr56E3nZGe8JNwQHwb4FWQ98CFiPlQNKbunhx1aA4C4yt4bEGTvVa3iwIf7OzD48LJdGIJTIJ/xwkm19cEH+KLTfNiFy3xIBaeq/3IOKHDMyzVPvJdj9gEAWKYCHw5X8+HeR46ALPM+EmpTEDEfEfc+IAAOiZDaJAXMh+mBD8Fbvsd8ZNL85xpL1Pi0pkR0aqi2OEPMfIRCbjgrJwAfjSozqztoQcUCq4uGEFGAWxZ64Rdp9NuigfkwFUhFNgtiZs0BBcxHFXyIrMLAh7tABQa9pp6wi0TzAQDEzJCwVNiFzXxEvFRbWdgFAIjbBgU+bEGaqxXymA/exuCFXQCgn9kOL+zSL3mTDHl1ZwQLqIawi6kj7BKTh10M00RE1aLJpvl9YkaHB/NheeDD5qe41inw0cucb4CrF2tS+oYtktBLTG36aT748FJtReCjJgF4hSa7+X48zUeqr3rCrcQqCnx4Fpz54AtOAcBS4CVH/GwXACAm8yBnPoTZLqH8MOPqPiyV5iphPkzT3XAdZp2PiGFAdSUGmMyHFsFp2N1oJcyHBz4kglNTS9hFsQ05YoNj148CH4I3Wp/5EDwbT5vErUcDACFLznzUeuBDANYBoC7mbrS9AmZquDAfhmHAUvogR8CQeSLpjKBwY9UqDHyY0mwXqeCUE3axLMDyBJu8+K2Y+VDsC5v5MA1AtYFb68MDHxLmwzRdEOU4/HRdL/TCrfXhMR+ZnBO82J1nHvPhZNljMh7WwHwo8EHZLIg5NjzwAcjYD68KrwR85JkP/qbiaZOyAoG4F3axmSfbAkCtYulSDiEjEEjXKk2OCHx4zEeKXynVBx9ZPmgAAFOBD5tZKRmogg9dVlHgI5/tspuZD3U9R3AKFIRemAuaacmyXUIRVQNBsKB67MdQhl2k4AMoEJ0yF3RP8wEAA9zQi8d8AGz2w2M+0naafVS5F3YB+LoPK2TCDLkTUwQ+fOZDkL2jQfOhJyVcHnaptfKgrlcgkK6LeeBDkNkRlYdddDAfAGDWK+ZDkJYdrYIPLVaZ4CPohULmI2wqwSYTvEgLjVkhabaLV+eDv6Aaqg3ghn60hF0U+CD+fUiZj1jY9MchO+PFYz4Atu7DE5wCQIoZhjLCYRhqs5WEXiIaMl7CMbdPsoJsKEOD5iOs5ooO5iMnYD7CpuEXxesViE595iOlg/mQaz66M92iTBVLiU4lmg+P+ZCcl1W1SgMfYKIPabaLQHAKyEusS5kPKyKr8wEAhjUMmA/DYz74G5Q03dYwDF/3wc54MU3AO7CQyXxErag/H0ShF5Xd4UhSSzXU+gh7dWAEzIcOwalO5sMWMB8AUGN5ug8+81GjwEePDs2HBuYj5+TYYBkArPqq5mO4WGWBD26qrZD58MIuYvDBDrvoYj4E1KtiPmg4MB+CsIvOQmMi0akw48UwjLzolHlSKAAYNSrjRQI+/IwXgdZCI/MhCbvoZj4kb/l1KtTZo4H56NOi+eCDj0QoAVO9BIoyXmo9zYck7KJ0WwKmrmoVBz6YqbZCzYeowink4MMLuwxVtgsgZz50CE4NHZoPU2ehseGR8SJjPrx0W3mtDx3Mh0TzYWooMqaD+fDAB0DsgngAUKeB+fA1H6KwS6P7O80XnBqGoUX34TMfgmq41bCLHqss8KF+B9d8KJEgl/kwhYJTT/PBXNBMTXU+RIJTS6b50FLnw3Q3KNLBfEhOtg1rKDQWUuBjuNT6GNBQaEyL5kOSaqtOgB5i5sNNCVdzVgA+ajQyH1rCLoJsFwCoC+srNGYLBKfeyeDVsIvMKgt8SMMuXOZDUOEUAKA2K2IuIpY020WYagvIs110hF20MB/CbBdAU4l1lSorYj7CGmp9KM0HDbXmQ6XaZrSk2g4t82EYRkHoZWiZj1otzIen+ehh0M5501NiXTEfGgSndtYR1aapdKss8KF+8w+WGyLBaUgoOPXDLsyN3ztYThB28apzEfdkXZ2ptkOY7QIUHC4nqXKqAXz4JdYFPnzBqaTEuoYqp8Ml1VYH8wEUnsAsr3Kqg/mQ1flQZxGRA2T496Olyqmn+ZAwH/F8unyV/eBbRYEPr8hY4MCL6WW7CMurMyqcAgVVTm1meXXLC7twmQ/ZwXJAQZVTZhu0CE41ZLvENRwup0VwGlG6gCz/zVhPlVMVdunnb/p+qq2EcVAgKCNgYPxUW8Fz0cF8AHrOd6lRY1VS5VSL4DQUA1S5AS2FxnRoPgRFxkzT8Nm6qu6DbxUFPvJhl6AX6sl24YZdDK/C6VAxHxHZwXJAXvPBZT6GQ4VTQFfYxV3QZYJTVacjIwcfEs2HoYP58MIuAmo/ooSvGYH2xIzpC7vkcjk4gjGST7cVhF00nO+iRfNhGHn2Y4jBh6/56JWlMVfTbeVWYeBDeLCckPngCk59zQf3YDmP+WCeq+IzH4Ljuf3y6lz2RbE/juOwF3UtqbY6wi5+nQ/BwuWdbJvhb7Z6BKfqfBctqbYamA9J2CXihV3k5dUBPRkvkkJjdWre90iYDx2aD0BLuu1wYT4AIJqoZrxIraLAh8kVnAqZD7Hmw1Lggxt2CUnDLhoqnGpiPgA++6GV+RjqVNuIu+lLYug1YdeHpM5HvsjY0Ga7RD3mQxD+0SE4DYfDPlCWnGzrHy4nYD5qfc2HINU2quFgOUAr8yERnPrMhxB8VDNe5FZh4MM7WG73Zrt45dWlqbZghl2ssKzImF/hVFReXab58IR8AF/M52W7aEm1HeoiY+EatHfvg3mLR6O9neeiNuxucL1ZPoDxU20FYRcdFHbYZz4EBdN8zYcD4h76ByCu2iIBH1aoBh0dY7DgmXr28/WyXSSC05pofqyyD0IEtKTbamE+GhsBAJROi9i6athFbhUFPlKdUaTeb0bH+oC37ZVXH6Jsl3WpZrzQ/zG0b4js/B8XMZ/5GMKwi19kTMB8eG+UXDrbVHU+JNkuCdOE3RHGqucj7E1BXF4dwJwnP4UJN76OYy84DRMmAHPmBPfhMR99AtGqmYhjfbYFC97Zh90fsYQLLNP9/PHlVTiVCE7NWD6LgQRhhoQCZP0CQPbQnz+NU06ej5NP/k/2820KW7A7wljxfJgPUAv6pE8SJow1uGD52Rp2WwrPd+GaWZPABiTxQv/H8P4bfCDkVzkdqFY55VrFgI85c4CHZn0EG/74CZx1/Jhgk9m03Inz7sdZE8djPjjgY84cYOp9s/HNtjvxoW//O2sRssImtvZGseS1GKv9lmIdHDsHh1urxCuvLqCApZkEphlBR8cYLF50CHsBfPaPMWyadiieOnNf9qbgh12Yqbbt7cBZN54Ih5RGwQHOPhuB76lWZcxI3iTvfu4QfO69J/HfD3yH3R/RGneDS/XxN7doIoHO/ma8sfIA9rM1QibWpWJY+H4DVr/Lb4uU+WhvBy677Hg4juz5PnOfO1aXnjOe/2xCFiLq5aVLAA7nPPMFFyx/9wQ+mIo1IbulBe8s4gPd3/7WwGff+Tu+2XYnDvx4C6sdQLXKqQ6rCPDR3g6cdRYAUhugYwSazHPurncnzm8fZE2ckBlCdksL3nghGEXutdshVSSMgrXbs78+XofL7p2KC66awGt/JILO/mas2HgY3l/JDR2ZWNcdwfylfMagv38EVq6ciFWreBP+nnuSOOXk+Tj33F+w+qG9HbjlgjjgqPAdc1Ooi4WQ645h+Us8MLh8OeA4205d2wZWrAjmpzZci+yWFixbvC+rHe3twMzbjoQD2SYZ1cB83Du3Hj9/9He45YmfYMIEYm0qc+YAn7jpSPz3Hz+EAz4SY29M8Xgc3d31eOaZ0JA93/Z24MrzIuKxCgD1dj1S7zfjjeU80N/eDpz165PFYPlfDx6Ad/73H3jmRz9hz9+zzkLBeOWtpwAQr4tga28Uzz5nsdezijcaZtbV1UUAqKurS5vPp54icnNctv2ZN2/n17a1EZmms811luV+Xq599dK/EYwcAUSmSdTauuvbrbP9t99ukwFbtd8pu/2F9qvzN5FpOIH7wLPWViLD4LdBRz/oeB5EROf9ZCtB0BdtbUSGse29mGaweyEi+t+r32CNS8909UfPlgG64MuL6CtTl9ELLzjBLiY9z9b1QSIfnv3P/7xUMFaH5vnqejatreSPVcNw6Nprg12vqy3Daf4SEf30oq1kgD+H91YLsn9XBPhwJzOxJrN0wLa15Sdv0L+9aFHxv33JJeX9bV3t5/bdtj74i2mxNhjG7l94dGwKunwAjqg/dLTDHZ/ODn26aFH5PoiITv2GXeDHoZNOCnZ9qWd7wQW71wfR8H6+HB/bAzKA6JpryvdBpGec6AMw8vvR0bd7qwXZvysi7AK4Q2Sw/y9lfX0AilRELbdGzcKFgBfu8cxxgOee2/m1pf7GlVeWTxXW1gLF2l9TU971Cxfu2Ffltn9bH7w+KNUGIuCUU8pvQ18JTWXQWkPF+iKISfvC85E/LCDfrt35TABg5cod2wEAq1aV72PxYuAPdxsFfgz86U/ApZeW76O2tvjn111X/jyZNClfyJjrAxg+z9e1HX3MnFn+1W74Z8fPZ80K1ic6xkmpZ/z44+X7SCaBq68Gtl8Pg95PsWdMBFxxRfk+qlYhmg93Mm9r5U7mRYuAYhNnyZLy/napOG058dtJk/JVWbe3Rx8t7++77dzRydKl5V1fqp333Vfe9YP5CKpR2N7mz3c3r3LMfY472u23l//3HnkEKNaXF11Uvo9d2Z+7+5ls3lz884cfLt/HM88Axfo0CMAeDECWu2Enk8C0acW/K3euAcOnX5cvL/6C9cAD5c+ZUutPUCCk435KPePZs4MBB/ela0fgEGQOl7LbbuPpRyrVKgJ8SEwdlrmDRaPlXb9xY/HPOzp2fm0yCRx7bPHvli0r7++/847s+lKHhD70UPkTTdIHADB1aunvHnusPB9jxxb//JFHyr+PdeuKf37PPeX70NGfu9JHMaBeypqbi38epD+OOqr0d+VucIOB9FIbXzEbObL45+XOFWDX9uu99wZjckr1SblzJpkETj65+HdBgMOuvJ+gQEjHHB5sPQrOTlWuVQT4mDp1x4FrGMAnP7nzaw88MNjn29vBBxf//KCDyrv+q1+VXS/9+yeeWPq7ct/mpG1IJkuHWMaMKc/HYPdR7oKhoy+Gu4/HHtu9i/CUKcDHP178u3KBQzKpstmKWKmNr5hJxymgr19LbbTlPt/BgEO5cwYAvvjF4p8HAQ67+n6CAEwdcyeZdLN1qia03aBBCWS7QnBKtK1qG0b52RJSsWMx8Riwu6/f8SeIOOqkk3ZsQxCluY42SPuBiOjss4u3Y+7c8n1I+2I4+fjCF+QiPh19ev/9ch/FxhhHYCkdp0R6+vXaa+XPV9e82379G6r70TFOiPTMHR3jbW+0arZLCbvwzmXUMm0hXXjnskDXtbYSmV5KYgDg4tlF1y4jt664O0CDXv+b2RtF17e25iebAV6q7NmnrfTbYFnMVFlhG+64wyGolF+D8Rx0ZBEQEZ16/oDvh9MXRETf+Havfy9cH5ec8x4ZgmdSrD94i7COzAz5Qu6OMW982Kw+1TFOdfQrkZuFYRje8+W1pXDug3k/OoADkXs/Jvj3o2ucEBFdfFG2YD3j961RkIZcTbetgo+SduXf3qQJsx6lnz3yRuBr267+Gs2bfhy1zXsy8LUvrH2BDr7hs/Spn13KmijptnZ6av+j6c4DZrCR9e0/fJXOPXEpzX+sg3X9qldeoh+ecBrN+tov2G149eblNHfaK/TWA2t5Dojo4otvoenTf0cvvriRdf1vbu0mw8i6QJJZs+T1nn4aef/rNPGm99h98fLqrbTvOU/QoWcs4b8tbXiT2mZOpnln/jfbx3U3byWYfABD5G3YOVGfFm76HIDv2R+v/wN9+5iL6IGb7uc5IKK3H15Hc6e9Qq/84h22j1//OuXX+uBubkREjz12Dl13/TR68cUn2G356XMbqemG5TT9Sf5r+U+uyBaAZf79tF1/mruO/uNh1vWtrUSGV+/DyIk2/KcP/yL9ftyptPxf77J9/P3edjr3xKV011Vv8RuyF1mQ/Ts0WEhmbzNLBR5tosDXJps7kZz4PNDy7cDXRqwIwiM2oGHCS0gmA18OIxzGmPAGjLE2sa4HgNHNORy0TydGN+/Duj4UiaAxsRmNY95gtyE5htA0vgv1TY08BwDGjMkhElmFESN452aceYaFxsajsWbNBPzXV+dgwoR4YB+NIQvWqCxyo7ux776EYtkaO/WRCCNUnwJFOtj9iZpRSNavRbJ+LTA2ByD4dD7jDAN3ZL6A9IZxeOqc27HfhPDOL9rOZswADmqdhvfWxDB1zsWY9G+HsHyYa97Cy0tS+M9v7oNjvxxAmFBgyaSBA0e/hobEeNb1ADBuvIma8V2IJtgucPbZYSxffiO2bBmBWbO+ikMOqWP52TeZQzT2AkaPLiG+KMMmT7QQGehFXxPbBX54sYXWtU8hszWBv//ocHzkkBJK/J1YcmIUye4FQOJzrOtnzABaDn8F35v7SxxwAGHGjN+z/ABAcpyBUf2LMcZcA2B/lo8DDw7joH06kTCC7ymVbpUFPkxVXp0zTryTbRnns3hnu2SYp6kaEbUh2DbItmEUHC9frnmHyznMg91C6lyVHPNEWQAwwupwOeYBdwAQVWlGqVJpBTsx04xh1KgNGDVqPcaM7QPAAB/qYLgsEfpsxz+6PJCPuNuf/Rkb6ZyNKMMHogUbWqYXiDcGdpEIJxAesQHhERswYkw/gIbg7QCwb0sWI7e+hrGxAOq/7WzCRAP9aztRHx3B9hH1TrcdEJxuqw5Tc9L8Q8NM08TYsTbq61ehsbEXAA98hCz3ulyOf5hai1o/NqT555CYpoHRYwmb6rYg0pABwAMfqFNpZ90l0k7KsIP2S6D2kCXIxvjjBABCLaORfucd5DZsYPuoaXTXo77OtKgtlWgVke3imeExH5yjoX3wEXxB8k61zdrMc1HC+dNsibn5+yfbMo+09w6Xs5mHugF6wId3uFyW2Q+GYcKy3FdaO8c7zTVhmv7E6WWCubpYCAoL8w/sCkUBS42NTMBqacrCZhgR0/UhOd3WanBBi93FPyk0kpAfUx6JJ5QPyem26uwP4aFhNaqSn+R021DYAx/8w/9GR91+3Sg4lRoARta642Rzn2CjrVfMa89avgvvdNt0N4j1JulauKUFAJAtVQugDEs0qLnTlQZx9pUKtooCH5KwCxSA4ICPsOVu3FmHuWFG8lQ4F3yY6lRZm3mqbCisk/ngv1GGQu5zyOX4G4MPPmzepmAYBuKWey+poCVOlZmmgbhiUPozgmO51cm0SPM3p5qw2iSz/E0yDz462T4iUcUoCRiHiAbmw1QnllJKD/joK1VetwzLMx/85+sxH505G2nmeAWAZg989PJfQHQwHw1Rd6zlKIf+nADYjRrt+tkgAB/1bp84NiEjHC+VZhUFPrxcc17YxQMfwQeY92bJBh+hfHSMzXyozdLhMh9qAbOzQ8t8eODDtvkbVB588DeFmKrFPcBkPgAgHnE321ROAD680Euax3wAbugFAPqYTBCgh/kIqzd0GfjwmA8NYZeULXqz1gI+wu5bvgR8NIQsX5XULRhrzTVuiGFTr4D5SKhQSaqT7SJmxfw1tTvND0eFFPORK7faYTEfYQuWWtfS/VXwEcQqC3z4/8VYUAy55oMNPkwTUJuumPngaj7CHsK34TA3fkO96esAHzLmw90UuMwHAMQttz8HBG+Sns5jQMJ8eOAjw9+cfPAhCLuYaqMlQYghHNPJfMjDLnBIiz4pneZv1j7zYfOfr2kYqFUvHyLwoZiPTRLmI+qCKaT4oMEwDNQrP10ZPtj1AXM33wcARFW4sAo+gllFgQ9Th+CU+GGXnJODQ7zFzFCaCznzIQMfAGBz9RYamY+hDLsAQFwn8yHojzzzIQi7hFzgMJDlb9hG3BUgOv18H2EVdpHQ11qYj4jlv6lIQi8e+MgIdFKhkAIfWf5mDQD1Cuj2MOc/kBdJd6cE2pGYEjQLGAsAaIi4frrSAvBR7/at082fOwAQTbhrc4qr3apQqyjw4ZmzuzUfZl6zkWMwJwBgKKElMUVjugSnAJBjhl6Gi+YjpCHs4oGPlEBk5mk+UoL+yGs+hjbsYqpN3xEwDmEtmg+54NQwjG1CL+y2qDkrYj5CKuwiYD4A+BlZPQLmo1b1Sa9E2xBTzEcuBeT4oMxjProzfBBj1rngw+6V9W3MYz76qsxHEKso8CHTfMjDLoAg9OIzH7wJKw27mJYFU6X4ysHH0DIfpgIfOQHzEbPkzEdM9ceABHyEVcpjjr/Z6hCcmirc4aQE4ENj2CWbTsFhvCh4piPjxQMfWpgPgeYDAOrV3O0RaKXqlCanV5Cy64ddABH7oYX5qNPFfHhhlyrzEcQqC3woLpX1rqqJ+eCn2yrwIWQ+uIJTALBU6MVmtkGH5sPyAJAk7GKqEIHDqxUCFDIfEvChgfkIqTolWcG9KB8izUfC9UGCsEvEE5xK2IZ4vjJYllkLBgDMmDzjRWvYRVDnAwBq1fyXhF20MB+mlWfrUnzgoIX5qHd9OL29IAEo88IuVc1HMKss8DFE2S6WacFSglU588EUnFoy5gMAQqoNbOZDsS8kWAD1MB/upuDY/M0ppvpTR9hFD/PBvxeP+RCBD4/5GOKwSygchml5b6J6Ml64pjXskusFMfViAFAXkjMftQoc9kiYD6BAdCoAH6rWh4j5qK31/9vp5Yctq4JTnlUU+PCKOhEr20V1FVOzIa5yKhWcesyHhHXwCo1xa32oNgw5+PCZD/6moCPV1mM+RNkuIX3gY0AQujFiGsCHhrALAEQSctGpH3aRiF81hl0AEmmU/LCLDs1HWhhe8HQfkrBLVB52MSIRGAo02z380Es17MKzigIffthFxHzwJq+fbssNu3iCU2mFU1sQdvFqbDA3fmOYgA8v7GILwIeOsIvHfKQF/aEDfCRCGlJtEx74EKTaKubDzjkihi4S05Buq6HQmI6wi2lGYRiqwJ9A9+GFXSSptr7mQ1pMS0O6rQc+JGEXIM9+ON18P37YRVgRt9KsssCHH3YRZLswUm0BDVVOpYJTFSbgptoCgBVSzEdOmmrLB0B6wi5yzYcnOO3XkGqrhfkQaD68bBdJtUgv7CLRfHjgA5DpPnSc72IOk7CLYRgIhdwNUgI+vFRb7nEAQCHzkRMVX9PBfBSWWJeYp/uwewRhl5pq2IVjFQU+POMJTvnZLoCGQmOaBKci5kMYdhkuzIdpyjUfcdPTfAiKUCkwJhKcash20cF8GBo0H1bI9LOyRBkvXthFkHljDJNsF0BPxkudCrtImA9P85G1ScbWebU+BJoPP+wiKDIGFGS89GhgPvqqYZcgVlHgw1TUB0sjKBCcAhrBxxCd7QLoC7vAdthvTlrKqyvwYUuYD0/zMdSCUz/swn+71pJqm3B9SMAHoKnWhxd2EQhOdWe7SJiCvOhUwBSE5OCjJhLy2eMeUa0PD3wMB+ZD1frokoCPKvPBsYoCH7KwC/9UWyAfdsnYQyQ4FVY4BQqYD27YxQMfBIDJwOgVnPLfSBPewXI6BKc6wIegOqkPPiRhlxqXbaBUSpS2GBkm57voDLsQEfsUZkAP81GvQfNhmgZqIxpqfQwr5sMLu1TBx+62igIfHvPB2vYMGfgQHy6nq8iYpM6HxzoIwy4AP/SiVfMhCbt4RcYEYZeETs2HRHCq42yXRL6+hpaMF1GJdbng1NCQ7RIuqAosy3hxN8jsEDMfgK4qpx746GS78IqM9WX72GsqoOdAxFiB4FSkhakwqyjwoUVwKgy7iMurS1NtBW/qecEpc+EJFRztN4TgI5/tIi8yJjrbRTEf/RLwEZaHXTzNhyTsYkQigNIVOH3yjBcdzEdawnxoyHYxTVNruq2tQXAqBh9+rQ/J+S6N7m8B81EXqfP/u0dwqKLZoAqNaQi7kEMioXSlWYWBD6X54OwXUvBhCVNtNYVdRMyHVHBqGD4AGVLmwxOcSsCHBuajRi3kIuZDhUyQkZ/tIgm7GIbhsx9OP59B0QM+VIl1geDUD7sMCGuODJMS63nwIRCKQjfzISgQZlqoC7v9IjtczjvZlg8+QhHLf7mrHi5XvlUW+FC/WUXGrKrg1BSm2gIFGS/MYmc6yqvnwYekzofbnzpOte3LaDioSyDeKywyZkvOQ/HBh5z5yGgosS6rcCoPuwB6q5zqCLsMOA6yApF0rY7zXTSAD0BPiXXLS7XtlrWlqvsIbhUFPkzDQK47hvY369DeHvTiENq798G8V/YPfi00VjhlvkGFwha29kbx2opaVvsBoLOnESs2Hoa168M7/8clLJ9uO3SCU8vXfAjAh2XC7ghj7aIYuz9rIhqYj6iin9P8t2IPfACyKqcbzHF4of9jaF/JB6fRRAhbe6N49jmL3a8RjXU+KGODBJt1LOaONRn4kNf5qLMs2B1hZF6qxdurBIXGYhrAR7zR/T3QyfcBTSXWNYRdgCr44FhFgY9/PVKDNbcei79ddTAmTADmzCn/2jmPHYYJN76OYy8/P/C1gJ6wy/psC555o4W1KP/xwQguu3cqrr73g6z2z5kDnH75mbj1X7PxnzP+PfD1nvmiU0HYpbu7HsuW7cvenEwNmo/H74lg07RD8dJ3xrP6E3AFp7nuGNa9zQDDnnnVIgUphxEz4p89xBWdzpkDHP2vO/HNtjsx+T8/zB4fTzzfjMvunYpvXzSG3a9RlfYrYT488AECSBACGhhoxsqVE7FSAMjCGlJt7/ydgU3TDsXW/z0QH5lksZ+Px3x0D8g0H+3d+2Demx/gj3voKbHuFxkThF0AoDeTwLI1jVi1sqr5KNe0g49cLocf/vCH2G+//RCPx7H//vvjpz/9KRxBbFyHtbcDrbNHAJTXfZx9Nsoa/O3twFlXHwOHrMDXeiYNu9z3yhH43HtP4qu/+a/Ai3J7O3D+rCiIce/e9WedBTikRKtkBL5/z6Rhl3vvjePGG8/DnDmnsDcn04yho2MMli75IOse2tuBq86LAg6vPz179E9RrLn1WLw95wj2vSBW7y7ky6egfRWTVTMMRHr2R+9bU7BsZfAN2x8fajlxHN74aG8HrrltNHuceharrUNnfzNeenMse3MzwibWDcSw8P0GrF7Om7Nz5gAzZ34Fd911Oo477lD2hh8Oj0BHxxg89xwPcHvPJz9e+fO3uTaKXHcMixeG2H075/7R7ovcnLmYMIHY/TIiNgLZLS14dn6E3RaroQHrsy14tu0A/v3MAb591WG46dGP4ujjm9n3U3FGmu2KK66g5uZmevTRR2nlypX0pz/9iWpra+nGG28s6/quri4CQF1dXVrb9dRTRO6pLtv+zJu3a6/17Jw//Zwmzvom3fjkA4Hb3tZGZBr2Nn/bstzPyzFp+0tdf8EFgW+F/m/mm/Sjz6yg+Q90Br62rY3INB12P3j2m99sJcPIEUBkmkStrcGu1zEedN1L6+02mf69OIHvhci9f6jxZRgOXXttsOt1jQ8d/UpEdMNVG8mAzX6+RO41puGw+9V9viR+vkREv/rV6iEfr56dftFGgt8vwduia9wTEX3th/8gCPqFiOi26zvJBH/+6HzOe4MF2b+1g4/jjz+evvWtb23z2Ve+8hX6xje+Udb1uwp8tLW5C2vhIDHN8gZJWxuRgW2vNYzyB1hrK5FhKvBgOHTppcHaLl08Fi0iwnbtB9zPy7FiEyxI/3k2fXphOxw6/vjyryXSt+lzx4Fn0v7Uey/bXh9kXHo+ij3ba66R++C0RfpsivnQ0SdB26ELkOm6H+k4KdUWXf0SFAi1tREZQhCjo291vpjtDRZk/9Yedvn0pz+NJ598EsuWLQMAvPLKK1iwYAGOO+64ov8+nU6ju7t7m59dZUSD/38pW7cOO+THELmf78w8ypMcr7qngZ//HDjppPL+NgC4By/u2Niamh0+KmorVwL5XJ+8rVpV3vXJJHD++Tt+7jjAihXl+Vi8GLjzzsJ2GHjsMeD448u7HgD6SsgRHnywfB8LFwIere+Z4wDPPVe+j95eoFh/lmpfMVOHae5gjz9evg/3Xrb9jAi44oryfSxfXjz1fNas8mn5ZBI488wdPycK1q/eNYUWNFpb7Pnq6BPHAc44o3wfkyYBZpHV9brrgoU7dNxPMSMCZs4Mdo2OuVNq3F97bbC2LF8OkLNtW2y7/PUI0NO3up5zJZp28DFr1ixMmzYNkydPRjgcxuGHH47zzjsP06ZNK/rvZ8+ejYaGBv9n3LhxupsEwB1o228Y5S6Ojzyy47UA8NhjO7+21OL+wAPuhlyOLVlS/O8vXVre9aUmZJCJevTRQDEA1FtmeYlnnin++d/+Vn4/LFpU/PObby5/ope65/vuK+96QA8IcgHhjnblleXfy+bNxT+/7bbyfUyalC++V2hBgcOHP1z881JtLGal5tlFF5XvQ1efFNtQ/vGP8sdqMgmUWPIC3U8pC3I/y5cXf9EKsgYBpfv24YfL91FqvQiyDgDeHNzxpoLMwVIWpG939XPem007+Lj//vtx9913495778WLL76IO++8E9dddx3udF97d7CLL74YXV1d/k9bW5vuJolNZcvtYOrcqEGt1OIOlAdeAOCdd4p/rsilndrGjcU/7+go73oAeOIJoNjG8NRT5V1/1FGlvyu3H8aOLf1duRtlqkSCy0MPlb/glOr3ICBoMCv3Xpqb5T6SSeBLXyr+XRBwqsNKMYn33FN+v+rqkxJEbdljFQD237/450HuZ+rU0t+Vez861iCgdN8GuR9dbXHn4I6OgsxBHX0L6HnOlWjawccPfvADXHTRRfj617+Oww47DKeeeipmzpyJ2bNnF/330WgU9fX12/zsCttvP6AYUp44cefXHnhgsM8LbbDFvRzwAgAHH1z884MO2j3X67ApU4CPf7z4d2PGlOfjxBPl7RjMR7kLzmBAqlwfgy185bIFg/kIYh/8YPHPBaUpWKbj2ejqk09+svjn5c5ZYPD7KRfYJZPAKacU/67ccZJMAiefXPy7cuceoGez1tUWHXNQR98Cep5zJZp28NHf3w9zO87SsqwhT7WVxOmnTgUMY1vgYhilF6jt7etfL/55OeAF8Ab3jsDphBOCXL+jlXs9UHqSlqIci9kDDwCS+0gmvdgw/1lMmeKFkPimw0cy6aaRFrPB3t639yHtD6D0+AiixynV5nLvBdDXrzr6RPLC4dmUKZ62a9u2WFYwP1/8YvHPg/TtVVcV/zzIGjDYmA1iOtqiY6wAevpW13OuONOtdp0+fTrtu+++fqrtn//8Zxo5ciRdeOGFZV2/K7NdJClerTdtIRNZX+EdJCWrrY389DSuqvqOOxyCSgkzjOApYa2t22aacNLSts9WmT49uI/bf531M4c490FEdNll3QRBKmVb247ZKpwMguHgg8jNTDEE6YJE8merM6NCV59488VkjDNd90NEdP75/f54tayha4ubUi1bA9zno6ctXjq0gdyQtUXnc77kkvzY5c7DPd2GNNW2u7ubvv/979P48eMpFovR/vvvT5deeiml0+myrt9V4IOI6KfX9fv1DCwr4KbVt5naZk6medOPo7ZV2cB/+/yr3xDnpD99+Bfp9+NOpeVPvxv8YiL6+73tdO6JS+mea99mXU9E9LMZN9GJH76N5ra+yLreyeRo0TnP09xpr9D7y4P3IxHRli1baObM6+lb37qLnU//m990kWFkRQvFTbflCmoeCGpsaFiw2q6Z5o7NJ//Oc0BE3/3d76ll2mz63u/uYl3v1sZQoJC5oRAR3frrnA9QJX1y+0XX07ePuYj+cc9TrOu3qfXBBMpERI7j0A9+8EuaPv139OqrW9htMfxaLDa7Lf96Z4CablhOEx94k+eAtgUx3BcIIqK255e6Y/byzwrbIuuXwufMBUKe3X3N23TuiUvpb3dXZqGPIPt3SDeTUldXhxtvvBE33nijbtdi+9opOdz27kLEUw2Y99MjkUwGuDgUQ7J+LZL1a4ExKQAlcsZK2BendeCx8LnYN3U07jz1R8H+trKxtZ0Y1b8MyZG8suD77gsctE8nmmr5Z7Mcsn8H4j0v4tADD+A5CJkYW59xf1r4Jdbr67tRX9+NffclFAun7czOOMNAY9PRWLNmAk76r99h/PgAwXxl3z3TxM8a30RuTRRPfXECPnJA8H6dMQO4473nsGqlgdbvTcYJn2wK7AMAkvvkkOxbADT+N+t6APjQR9N42rgHIyZ9lXX9jBnAp2qfxws/uBWTDktg6oxbWX7OPsdC5+LnsHZTFGf95BB84PA4y8/4CRa633sNDfHDWdfPmAEcPakLL926GgceZODwGYex/BiGgX32cZBIrEJjYy+A4M94xgzg0EPvxsLn/o7DP/IBHHvspay2HLF/GJGP9GIAQE/ORp06cC5oW94wluHeJ7bg9H8fiRmnTWK1JXnwKCQnLnBPDHdswOS1ZdnoWzD32Rdx+tGfxoz/mMHycewRmzH/i+djfLQdx0z/JwDe1njgwWF0vtuJOBKs6yvJtIOP4WyWCYTqU6gdYwff/AsnBgWv3x82wwiP2IARI15lAQ8AMNShasQ8VC0UcbU4uSz//AFLHXBnM0/XNQwDRtgEZR12ifVwOL/J53K5bf6/XDPNGEaNWo9Ro9Zj7NgUgODgwzQMNI110DWqF4kxNgAeqBs91sF6uwuJJv6x6zpOCk2E3AWTe74LAIzbLwRKLEbE2Y/tAwCS4wzURjrRmEgB4IEP/3RbwQFz4w8MITa+CyZjjBVaIpFAZ2cn+gXnzUyYmED/wAtoGhFh+6gNWWgIWejK2ViTzmByiNe3h04KI7ZsC/rCJVIBy7G6sYBhuieF924E6gdJZxvEDpqYQO2WJcjU7cNuysTDmpCqexGwbeQ2b0a4pYXlJ1HvPpuBHsHZNxViFXWwnKFyvFiHVBoF4INx7Lj0YDmg4GRb5sYfCqvj6DN88a8VctuQY7YBcM/NAABiHi5XCDayzHaYZhiG4YI52+Gf5Nqg3hy7cnxAF1PPZUDwXHSAD+902/4cf4O0VBUpJ0jFtSLmnRKaERxp74GPjGDDtxRL6PRlRafbJhJuWyTgIxoZDQDIpEvkzpdpY6PuPa1L8edwY8LdZLskB8xZIReAAED3GrabUYlRAIBNA5vYPgzLQmiU6ye3YQPbT7xOgY9ewYtEhVhFgQ/TBx+MRWQb5iP4JuEdLJdxBIMyrJiPrJD5EBzhHvKYj5wAfAgPl7Msy8+oyjFZICB/uq1j88FHnbqXPpvfp4mIO7b6M4LjuDWAj3jYfQvuzwpOg1Vld51yq8+VsHDU7ZNMit+v0bh7PxkB82EmFNB1AGeA/3x0gI9I1AUf6UyAAj1FrFEDYG6Mu/3S2S/cZD3w0VNGuegS1hBxx3634GRnAAi1uP2bK1UYqQyL17n9UmU+dm4VBj7c3xzs4VbGUQ44zIfwVFsAMMIuqmYzH2qTy0qYD2HYBShgPgThH4/94DIfAGBZ7uZk2zwNDQDEFQgasPl9GlfMR0rQHzrDLhLmw/SYj/5+kCC93gMfWcFx9pGEPOxihEwYMXWadR9/rGkBH+ERAIBsthPEWsRcq1fgo0cAmJtqPPAh3GTjSv8iGLd1kToAQHdGBj7Co91QS1YH89FTZT52ZhUGPgTMB5BnPxiaj5DpshaisIuv+eCCDznzkQcf/MmVBx+CzUkH+DBd8OE4fPAR88CHgJKP+8yHBHyo4nwp/gLsgw8NzAfgAhCuRWLysEs04bZFwnwAgBlV804AhHSAj1DIE7k7cAShQg98dDPDngDQEHc3WTHzoQE010fcsS8FH9ZIt7iHHaTC2HbmMR/p/hxswQtJJVhFgQ+vrC8bfHi6D4nmQ8R8yDQflgoR2IJFR4fmA+pNf6jBh2m5YRdbEHaJW26fpjQwHwMS5iOs1PUC4JAIy5kPIxoFFEiW6D60MB++5oP/fAHAUG1x0nwgFFchoIEBfltMMw5vyc7l+GEtL8OlRxB2aVLhqO5UDjnJJqsBfHjMR0+mR8QIWfVuW+weft/GEmF/n0n1VkMvg1mFgQ+B4BQQMR9awi5qUQdT52Ba6v5t/gQNRdw3nqHUfAB6wy4S5sMDH/2CEIOn+RiQMB9Kr4Ec/1485mMgy98gDcPQovsIq1BHVqD5yGe7yMSvpgIfEuYjouZNJiNgDA3DZz8k4CPPfPDvpyGeF313C9gpLcxH1GU+bLJlYml1tIfTzW+LYRqI1VZ1H+VYRYEPT/NRpMJ3eSZgPiKmu/gMKfOhNkoJ+PCYDz2ajyFmPkwNzIdGzYeI+fBSJjUxH6I3SA98CJiPiA8+BGEXT3AqCHUABcyHQCvlgQ/JeAWAkOWCD9seWvARskzUqXCUKPSiAXzErJj/cicRnZr1LoNid/ewfQBV3Ue5VlHgw4BU86G6i5PtosIuOSfHXth98CFmPoaJ4FSw+GkVnAri5zGFaFMC5iMecRdxkebDYz6ycubDJluUlaWF+VAbmw7BqVTzYfjMhyDtVwPzAQCWz3zwN8h6xTxKBKcA0KhEp1slolMN4MMwDC2iU6tOMSg9Mu1ITPVLSiBQrgSrLPDhZbuwHQg0H2ZBYSyHt4gZfqots7aFx3zkBGGXsMY6H8OE+XAk2S6Wx3wIBKeqP2SaD1XsSRB2iRcUnBKJTlXGiy3RfCjmI6NB82HncqLxOlzCLkBedJoTMB91lkq1lYw3AHWqXkivAJTpAB+AHtGppZgPR8h8ROJKLC1Iza4Eq0jwMRTZLoXggxt6yYddhMyHQ2z2RQvzMWw0HyrsImA+/LCLSPPhLlYpCfOhIeximZYPQCRVTvPMhwbBqUjzkQdTEvYjLziVM3Vi8OGFXXL8vtWRagsAtYqd6hsO4CMqBx+mz3zIwEdUgY90FXwMapUFPlTYhR3O1sR8sHUfISnzkT8DxWGqbn3Nh0RwqoH5CKm+0JFqK6rzYck1HzEdqbYawi5Anv3QUutDpPmQp9qapoVw1AWYEt3HcGI+LA3Mh45UWwCoVc+oVyQ4bXR/C8GHH3YRaD585qNL1pYq81GeVRb4KDh/jPXmL2A+LNOCabjdLWY+mJoPL9UW4Ide9NT5GC6pthqyXRTzIdF8JLSk2nrZLgMCdK2r1ofrQ6b5kKfaApoKjWlgPgoFp45grOSZj6FNtQXyzEfPcGA+VNilJ8NnLUwv26W/n73GAkAkrkKGA7L+3dutosCHWYA+eFVOPeaDeSaJl27LLDRmhLywC2/j34b5YL6ph1SV1Rwz9APIz3YB8uBDUl7d0pHtYsnDLnGdqbbkADYfGOqo9aHjfBcdqbZAQa0PSYn1iD7mAxCOWc2CU0lWkx7mQ4GPdA97XQU0aT7q6vz/loReoioNOS0596YCrKLAR+HB66wp52e78BYhaa0PXdkuAD/dVm959aHWfCjmQwA+vGwXUaptRAPzUXg6qaBOh45aH77mo4//dh7RIDgF9JzvYqg3fAnz4YUJAVnoJRRyN0hR2EUJTm0C+gXj1td8iM4kUpV5QYAgZKIDfBihEEzFlDkC8FFlPsqzygIfBeiDJToVaD4ADeDDW8Akx9mbskJj+TofOsqrD22qremn2g51tosGzYcVzo9PCfjQwHyYNRqYD7Wx5dK26DRZHSfbGho0H6ZpahGd+uBDwHwkLBPee0i3QHTqh10kzEcomgfOGkqsS8IuAGA2qCqnAt1HVfNRnlUY+Ch489/Nmg9AI/MhCHlYatXhlli3IsNDcKrnbBf5qbYJLdkuGg6WM4xtdR/ctmg838WWZLvE8qdIZwWgzK9yOsSCU0CP6NTTfEjAh2EYPvshOdnWAx+iVFtAa5VT8fkuPvjg+4kmVLZLfxV8DGYVBT7MbQSnDAdS5sMSaj6EdT4AeYn1kIazXXzBqQbNx/BhPuRhl/4MvwAdAD2FxnQwHxo0H6Gw6TOVEt2Hd7hcup/flnyFU2EIKBp125JOs33oYD6AgowXAeD1wUdKqG3QeL6LJNsFKAQfnWwfVeajPKsw8CEVnOrRfHCrR0o1H0BBobGh1HwMlzoffqrt0ApOa1SdD4eAlKBP8rU+NDAforCLPNvFMAw/40V0sq1iYSTZLqZiYUgSXoCew+V0gY9G9QLQKWE+Yl6dD6G2wT+ReejDLj746Oxk+/DqfEjGbSVYxYIPXthFdRc320V6sq1X50NA23rMB/e4Z+9guZzkgKzhEnZRRcYkx5N7YReJcM/TfABC8Z5f5VSD5kNSrEwD8wEUvEGKmA8VdhGIX021yTopGTOlA3x42S6SVFsAaFRriY6wiyjVFijIeBlawSlQyHzINR/pgZxIr7S3W0WBj23qfLAcaNJ8MMMuZjSK9dkWLHh3HNrbWS7QNRDDsjWNaGtjhl0iLnW8N4CP/MFyGsIuAubDNA3UqNCLpFpke99EzFt5FNrf5/eJx3zoqXAq2yCj6tj2tODskGiiVvkQCE7VZgIHIEHoJaGAUL+gLSGrDh0dY7B48cHsNQAAGsJyzUe9SintlqaU6gy7SMFHo9sWSaEx72wXULXK6WBWUeDDNAzkumNIvd/M23xNmeYju6UFvW9Nwdo1vG6/+9nJ+Nx7T+K/H/gOJkwA5swJdv2cOcD5txyBmx79KKYcVRf4egAIqbi1Y+fgMJXyOut8SFNtpQt53DRhd4TRs7QG7zMBHQAkhOK9OXOACRffj2PvehQTjj2G9WwBV7iX3dKCN14Yze4THZoPoEC41ycIu3iHy0k0H2ETXnqII9hMdDAff/jDKJxy8nzMnNmKCROI/ZwbleajU6D5aEqEkeuOoe2NWhEQ0ik4TdtppATnG1mNjQAAu5PfFitkos9OYNmaRqx4p1rro5RVFPj4/e+ANbceiw1//AQ+eHAo8MRt7xzjvlmuDe38H29nc+YAfzn9Rqy6+reYNnVq8L/dDsy8YwocKPGbA5x9Nsqe9O3twFlnAUTe+S5GoOs9C0ei6OxvxoqNh2HVe8xiZxEL67ojWPBWDXvR0gE+7rlnLE45eT6+f+6vWGAOAObeaWLTtEOx9X8PxP4TeT4AIDRQg9T7zVj5fnBA5j1bh5Seh/lsAeD5v3wA7/zvP/DA+TyACwBmXR3WZ1vw3KYPom2lhLXwsgYEPmpq0NnfjKVvjmGPNcMwYKq2OIIMhng8ju7uerzwQoLVlvZ24LvfrYXjeGsA/zk3hCzYHWG8ssBi98sjf4piza3Hou3uj4mAkA8+BjqZDoC6cB2MrnHofWsKXl2xhe3HamjA+mwLnnmzhd0vc+YAF835OG569KP48JQ4v1/2dqNhZl1dXQSAurq6tPptayMyTYdcqan7Y1nu5+VYayuRadgEuH5aW4P+bWL/bSKip57a9nrvZ9683XO9Z3fc4ZABXj94dttNGTINR/kglo8NGzbQzJnX01ln3ReoHz2TjgddPojc+4fqD4PRp7qera77ueN2m0zkRGOEiOjJO9+kn52ygH5z5TrWMyYiuvonqwvGK2+sEREt/dHLdP/XX6Hlz3TyHBDRJZe8S4bBb4uu50xEdPLVnQSTPwd1jRUiIlp4C7XNnExPXTab/ZzdOSRbl4iIfjXz9YKxy+0X2Vq/J1uQ/btiwIdk4koHlI5Fo62NyDC2neymWX4b3Ou3/fuGEXyz3d5HkDZ4PnQsWr/8Zc+QL+T6nqv8uWw/PgGia64p38dwuh/PLvr2ejIg2yAlc8Yz98VDgUPDoUsvDXa9rrbo6tu2NhfkDuXLUKG1/vQlMg29Gz7nORd7RkH7t1S/XHBBsLbsqRZk/66YsIsKQ+9gShs3qC1fvmOCi20DK1bI/vbjj5d3vWfbC+2Dahy3v54IuO++8q9fuLB4G557rnwfbl8a23wWpC8Bl2b+/vdrQH6YATjzzGD086RJxT8/8MDyfeh4rsX6lAg45ZTyfSSTwNVXA9hORj1rVrA+ce+Hdvi8nDniWan7ueKK8n0AbruvunU0CF6YMPgzdtuy7VgLOl7zIS3vRGwDP/85cNJJ5fvQ1ZZiRgTMnBnsmuXLARLOQV1rWns7cOZlH4ZD+XBy0OdcbH12HOCMM4K1pdgzCjp2J03KJ0UW2vXX88Jje7NVDPhYubL456tW7fzaUrq5Bx+U/e0rryx/QD7yCLDt6TSuPfpoedcvXFj88wsvLL8NmzcX//zhh8u7HgDef7/45+U8B8+K9QURcNFF5ft4+eXin7ubeHmm47mWsvnzgcWLy//3LkDYsU/KHR8AsGTJjj4A4Je/LN9HKbvttmB9UuoZB7mfUuP1+uvL91FsYwOABx4I9nx0taVYpm/Qtrjr2Y6Oyl3PAKBUIlPQsf/II/ABpmdB53KpDf8f/wjWL6UsyNhNJl3wtL0RyYHm3mYVAz4ktmxZ8c9vvlm+yZQ7IN2NYUdbulT294FgC3oxu+ee8vvhqaeKf3777eX/vXfekbfjb38r/rmOZwqU/1ynTi393WOPlf/3SvVJqbFbzNatK/55kH4d7H6CjLNS9xNkg2xuLv75Cy+UvylNmrRtin6hBXk+w6kt7pjY0VGQsT9YW4I8Zx1jLpkEjjuu+Hc/+1n5bRls7AYBDh/+cPHPg7ykVYJVDPjYb7/in0+cuPNrjzqq9HflDMrBBnWpN6LtreC057I+D9KGcjeoUgsoUP7knDy59PXlLjYHHyxvR6nFKogPHc81mQS+/OXi36ms5rJs9Ojin48aVb6PE08s/V25fZJMAiecUPy79evLb0upZ/zEE3qA0LPPlucjmQS+9KXi3wV5PsOpLdL1zGvL8ccX/y7Ic9Yx5oDS8/mRR4KBmFLhznLnM1B6nbz33mropdAqBnyUognLKUUwZQpw9NH8v51MummxxWywDb3QSk2KadPKb0MpHwcdVJ6PwRbQcu2000p/V27MebAFq1w74YTy77uU6XiuAPD1rxf/PIj+pNS/DeJDOs49u+yy4p+X2qyK2WDPuNxxkkwC3/seUCzEEKRfdDyfZBK49NLibfnUp3ZvW4bTc9bVFh3jBQC++MXinweZz1OnFmeFiIK1Za+33SCADWS7NtWWn7HS1kYElbLHUUK718uU1NOnF/pwaPr08q8t1QYgWBuuvVZ+H8V8BFXb62iHjmfi+tCfRTQUPvL3I+sTIvlYJdIzToZbBs9Xv+qI57C+5yz3o+M562qLjvGiq3/dtvD3mz3Vqqm2JaywngInF7z1h8+QiSxxU8IuunY5QZBSRkT04NTv06xRP6en57wW/GIi+s0tWX+CGgYvH/5HszYQBLnwRERXXtRPpmqHZfF8/PCHnT4g5Lbj1lt7yDCy7DFBJK/Tsb0PMJ/LNrVojBy71sHtt9sF45RfM+FvZ95Os0b9nP4+8x6eAyK67OJ+P92WM0501V0oTLc1we8TIqJLLnmIvvCF/6N7713Our61NZ+ubgies45xS0T0x0d7qOnY1+mgs57jOSCvf9WYM2x2W66+Oj92LUvDPAK/f6+5hgpSxWVjZk+xKvgYxD730xeoZdpC+uO8jcEvXnoXtc2cTPMuuZyFYBetW0QH3/BZmvqzS9gI+N0vfZnePHgy9cyfz7o+l7XpZ6csoHNPXEorlmVYPja+v5J+eMJpdN7xV7DvI7Ohjxad8zz96fTX2T46Oztp5szr6fTTf0+rVzssH45j031//DRdd/00WrGCMSaUHfPYu9R0w3K662X+uL3kD8upZdpC+n7rW2wfbc8tpnnTj6O2n3ye7YOI6NO3fp0mzjqd/vnym2wfG2/6Fb158GRae9nlbB/9PWl/vK56z2b52LZAIH9je3dxL82d9gotvmApz4GyuXPn0uWXX07PPcffrN955z267vppNPdPsud8ztNrqemG5TRrwXq2j87+DE2Y9ShNmPUo9aaybD9tD97ujt3bfsD2QUR09G2n0MRZp9PfX3qd7WPZP9+k3487leZP+YqoLQ/c8i6de+JSeui290R+9hQLsn8HrxO+h1tiRBax8Z1oHs04V8QMIVm/FskDXgWSwS8PmSGER2xA44SXkWRcDwBGxC0rzj3Z1gqZaG7IoKk2jZaRNoBwYB+hcBiNic0YHX+Ffx8hE2PrM9inuRP7Mn1Eo1HU13ejvr4bY8bkwLkXwzAxdmwPRo16AWPG9AAIoNAssGQSeCveC3NUE+t6AJgw3kBs/BaYtXG2j+SBjUhOXACEylQil7CWsVl0xl5HYqSgVLV/TkYn20c0EUZTbRpNtWmMHpkDEAnsY8YMoL5vLp566BV85ouH4WszTma1ZcLkMCLjuwADIJtgWCXSPXZiOg6Y22+/EfjIR14AANh2GpYVQHFaYAeMMxCxe5Fr5l0PAA3xMOpjIXSncljTOYCDWnhjLzm5BclXFwAG/2wWAJgwzsLm6BJQYxuAD7B8TPxQM3KJxUCvCXIcGMVyecuw/Q8MYf0+nUgwn8/ebBUjOPXMWy+cYgnzO71YbW4O73yHkOFivRzzegAww+7iywUfABCOugV9smneoVKWaoOd1XCybc4BcZ4FgFAoj51zOX6fWpZbRcu2+YePNaiDunoEp4TGI+799AtOTkVihPs70wMwT08GgJqw2yf9Of4GqQN8mKaBkBqvmRS/XybuF8GBo19DXSRAKsb2bUmE3RWTAKePP/ZrVNW2PsHBe6FQPQzDnYeZzCa2n2Y15rZkZaev7tvkAqo1W/mH5qG2xf3dz78fAGhJuH429G1g+wg1Nbr/4TiwBSfc1jS5z6ivM832sbdaxYEPU8mQHc5+JzzVNqzAiwR8GJGhBx8h1QY7lwMxj5I3QmroEVzZBsMsy4Khnqf0dFsAsG3+whm33PsZYPYHACTUMed9GcFGEC1468zwj7SPh90+6cvyN0gffAgWbwCI+OBDcLpt3N0c0wK2wTANmDVq7Hfz558O5sMwDEQjIwEAmSx/sx4R1gM+Rqhj5LsGBKe4ajhgDgBaalzwsbF/I9uHEYnAbHDbYwfJs93OahtdxqMKPna0CgYfjA3PVG/aQuYj6/AnqA8+BJttKOIu5jnmG3YonA9v5HK8dvjgAy77wfJhGD77IWI+THczsB3+ZhBXtOyALQAf6rkMSJgPKwx4FG+aDz5qQor5yEqYD7V4C5gPAIjE1bwRgI+IOs4+M8C/HwD5020FbdHBfABAxAMfaf4mO0IB3s1C8FEfc9eE7pQAfMQb3d/p7uBnRxTY6IRb9GZDP5/5AIDQCJdFzG3hhx5jte56neoT9MteapUHPtQdy8AHbyCFTHnYxQMfjoD5sEIuALNzTMahAHzYGeakCuXj5VzwAQBh1RYZ86HAhy0AHxqYj7gCH6KwCwBE1cEbAuYjEVZv55Kwi/fm2N3N9gEAkZhiPgb4/RJRbIMYfMTcOUyCEJDHfEjBRzjcCADI5vjMUrNiPqTgo071S7eI+Wh0f5Pjhg2Z1hRzdVed6U5+WwBYzS74sAXgI6rAanogB2LR7XuvVRz4MFRZYZszEKTMhwc+aGjDLqbaKG3mpm9aIb+Kjs1lPgwDCOV1H1zTwnz4YRf+xhQz3f4YYIaQACCh4u8DWSH4iCjwIWE+wnLmw1SbLA0MsMNzABBWG1smLQm7uPcjBR+GCgE5GsDHwIBAHwHAUqLiXI6/UXvgozNrw2Zqr4A889EjYIQQjuVZO0HopT5S77ZFAGAAIDTCrSyWE4RdYgn1okaysOHeaBUHPpiiZXWxUPNhqrd0gRAwDz4Eb/qKdXCYG6VhGAgp0WlOAIK80Atlh5b5MH3mQ6D5MDVoPnzmQ7hIeboPweKbCKm3c4Hmw1ShDhCBUvwMBp3Mh0TzAQCmaosjAEKRiCcU5c8dAAiFXJBp5/ggs0mBDwcuAOFafVxD2AXIh15SfDbHAx/daRnj5jMfmwUZX2EToYi7NqT6quCj0CoOfHjMBwvkm8JslwLmg5vhYYRlqbaAnPkA8rqPnCjjRT0LAfjQwXyEdIZdNGg+xGEXDcyHjrCLEc+nDDuCt/yIx3xoEJxmpOAjKg+7RNVBLLlcDrbN9xPSwHyETQM1auz2CNpS74ddhBusF3pJdfLb4jEfWSHz0eRpPvjMB+CmiwNAur+q+yi0ygMfSmpARc5Y2KlpCrsA/NCLjrCLlPkAAMvLeBEwDoYSuw215sMcJpoPP+wyHDQfGpgPwzR9AOIINn2P+cgKNvyIAh+5bIYdKgQAQyPzAcjYj5AlBx8AUGfJ08S1MR8aMl7qIm6/9GR64BB/PnqCaadb1r++7qO/ynwUWsWBD894zIcMfHhhF4AvOpUWGQPcQmOAJuZDFHZRSHCINR8e8+HoCLsImA9PcJpzCBlBn0ClyUKg19BR5wPIh16cfn7fhuNy5iNSwMJIQi+m0nxImI9QKARLbfgi8OExHzYfZAJArVoPegVj1892kQhOAT1hl6jLfDjkyMKGNSqs1SsDHzGVhlzNeNnWKg58GDrqfNhy8MFNt9WRamuqxUbEfOgoNDbsNB9DzXxY/n+LdB8htdHm+LUF/LCLAMAAhaJTOfMhKTJmWhZCKtyRTfGBkKHCCw6zRo5nHvuRTvOfkY6wCwDUamA+vGwXkeAU0BJ2iVpRREy3fyWiU7POBR9OjwzcVZmP4lZ54EP9ZmkudIZdmD5MHWEXy8tUkTAfSnAqCbsMl2wX092UbIcvioxryHYJWybC6tmIdB/hmPs7y99kddT5AAqZDwn4UHU+hHoCHYXGPMEpCTdZHaLTPPiQbY51OpiPYRR2AfLsR3eGLzq1ahX46NUFPqrMR6FVHPgwfc0H52IZ+DAMQ1xiXUuqrYawixXRIDjVAD485kMCPkzL3awdh/8WqiPbBQDiYQ2i05ACHzk+mPKYDwltDeSZD5ngVF7hFCgoNCZhPqJekTEZ8+GJTiXMh6WyXYaV5mOAL6YHoCXsAmyr++CaWef6sKXgQ4Vd0tVsl22s4sCHYQjQh/BsFyDPfrDDLt7ZLoJN32M+HGaRMSDPfMgEp17YRdAOxXyIioyZ7matpby64O0R0CQ6DcmZDx3ZLgBgJOTMh1/nQ7jhe6JTSa0Pn/kQCE4BvcyHLQ27qJcAEfjwnpHtIC3RK2kIuwB60m1Nj/noEWo+FPORqjIf21jlgQ/1m1fhVFbnA5BXOfUEp5IKpz7zIdgovSqnIvDhMx/8/tTCfJge8yEIu2jQfACaan14glMJ8xHSpflwwzdOnyDsEtcNPiTMh7zIGKCH+fCzXWw9zIck7FITCfmsskh06jEfwrBLQ9QN33Rl+AyKH3bp6xMVyfMEp1XNx7ZWeeBjCMMuQF50ygYfGk61tdRGKWM+5NkuGC7Mhxd2sSWajzzzIaGd/RLrkiqnPvPBvx8v2yVlp2ALwLYfdtGSaqsp7CJiPvSEXbQyH3Y/HMGaVKfhRGbTNFCn43wXT/MhDLs0RhsBAFtS/AJhXtgFRKLx64VdUr1V5qPQKhB86DhYTnCom5j5kFc4Nb2zXUTMh8Zsl6HWfHhhF4nmwwN0ADIC8FGjwi79kmwKX/MhD7sAstCLWaMDfCjmQyg4jWgoNFYYdpGAzFjMfUYpQeVXD3wAgC1It63VUGQMAOoVQ9UtAYmawi4jYm6BsK2prWwfRjQKqPVFIjqNVYuMFbWKAx++4FRa4ZS58Ig1H1qKjOlgPjRku4T1ZbuIUm11hF0K6vaLqpxGdYRd5MxHxIz44mjZ+S5e2IUvXA17gtO0LdrwIzF9glOQLEVcB/gwzbA/diWiU4/56JVoNQDURTXU+tAUdvEOlxOBD8OApU4glug+ojVK81EVnG5jFQg+vPLqAs0HID7fRVxkTBJm0MB8hCI6iozpq/MhO1hOHnYJm4Z/UG//UJdY9+t8CDZZw0BcaUf6cpJCTRqYj3h+w88KGCEdJ9saEdMXjkkKjekAH0Bhui1fWOmDj2HBfHhhl072Cx4ANEUV+EjzwQdQkPEiqPXhaz6qRca2scoFH5yLrXyRMG7oZTgwH97ZLo5g09dbZExWLRKQMh/yOh8AUKOEe30i8OHeT98QMx+ArpNt5cxHKGzCUJSlpMR6VIfg1DAK0m35z0gf+HCzOiTMhx92ETIfWqqcemEXOyMSTOtgPoCCjBdBlVNP85HLOshJj07Yi6ziwIcnOHU4JU4LioRJC41xwYeWImN+tsvQCk4N9ZZPGf6iF4lE0N1dj1deGYH2dp4Py1LpoELw4S3isqwBt09EqbYR+am2gKaTbTUwH4ZhaKn1EY7F0dnfjMWvjmKPFaBQ9zGcmA8NYRcx86FBcBqtAwzFMA/wgYMu8BFqagQA5LbwhauRmIXO/hiWrWnEu8uqoRfPKg589G2JIPV+MzZtsHb+j7c3M4z27n0wb+VRaF8tK7E+pEXG/DofgnBHNOYu5K+NZC/kZkTOfDzyyGjceON5uOaaf8eECcCcOYx2+HU+UiJNQZ754N9PIhpCrjuG1xdH+Rtk3F14pXFzq3sCet+agvfeF4w1j/kQniYb0VDr49F5B+Dnj/4OP/z1NPZYAfLgQ8p8uKC5SQSEdIAPXcxHgwIfXRJhpWGgPfMBd41dzs94GRFVglNh2MVqHon12Rb869kI+zn99rcGfnT3J3HTox/FoR+OsMfd3ma7BHysWbMG3/jGN9Dc3IxEIoGPfOQjWLp06a74U4FszhzgznM/gA1//AQuPGlc4EEw53cWJtz4Oo6961FMmNzIGkSZLaPR+9YUrF3D63ojEsH6bAsWbjyU/6YfMrG1N4qX3kqwfTw2/2D8/NHfYdYNX2Ev5EbEwrruCJ55JcZqR3s78KMfjQaRCiM5wNlnI7Av04yho2MMXn7pY2hrE2hpNkeQeakWK1fzAcwrTzRhza3H4vc/nMjfIDWI9ubMAf7yzRux6urf4pRPfZq/UXvMhyDsAgDd6TiWrWnE+6t44KO9HfjJ9YeAIBsrQF50KmE+Hn54JG688TzccMOJIiCki/mwO8LYsJg3Dz1rro0g1x3Di8+H2X7mzAEmzP6Xu8Z+bDK7XzzmYyA3gJQgfDP3vc/gc+89iS9fdxzrObW3A2edBRCpFz7HYI+7vc5Is23ZsoUmTJhAp59+Or3wwgu0cuVKeuKJJ2jFihVlXd/V1UUAqKurS2u72tqITJPIVTG5P5blfr47riciam0lMkybACLDdKi1Nfh93HpVB5nIEeC2h+PjZxdvJQMO24fbF46oL4iIfn15N5kGvx1PPbXt8/B+5s0L5uf227Nkml6f8p5LaysRVJ8YhkPXXhvcR1ubOy6k/Up9m6lt5mR66rTjqW1VhtUO6Vj3m7JkCT21/9H0hyN+wLqeSM0bf5zwno+usUJE9Mp1b9H9X3+F3nl0Q/CLSd/8ISJ66+0f0X1/nEp/+MP97P69+TbbH7vc/iUiOvvSzQTBfNY57hzHoUNv/DxNnPVNWvL2+uAOvPYYtqg9OsfdnmBB9m/t4GPWrFn06U9/mn39rgIf0kEgvV7HxNKxaLW15Rdy78c0d/+E0tGORYuIAGeHdixaFKwdep7Ljv1xzTXl+yDSt1C13m6TafDBlM4F8zezN5IBW+uGFHSceH62H2+GEdxPayv5gNkwHLr00mDXE+nt36uueooMg/8yorN/pWtTqX654IJgbSFSLwOqX7gvA7rWOR1rw55iQfZv7WGXv/71rzjyyCNx0kknYfTo0Tj88MNxxx136P4zgW3SpLzYtNAWL+ZfbxjAgQeWd/3y5S7VW2i2Dfzyl+Vdn/exbSNsG1ixonwfCxcCHgXomeMAzz1Xvg9XAE47fK5S4ndbO9y6Pzs+1CAMf6nnEqRPi/kAgFmzgtGrOvq1vR0482wTDildgmPgzDODtWPSJMAssjLcckv5Pry2fOfikduEOoK2pVjfOg5wxhnB2gK4y/72/3/ffeVf71HoDnnp+gZ+/nPgpJOCtUPHc/bac/HFx4D8Zz10/atjbSo17q6/Ptg9ec8Jql+IDPzgB8C115bvA9DznJJJ4Oqrd/QTdG3YG007+Hjvvffwm9/8BpMmTcI//vEPfPvb38a5556Lu+66q+i/T6fT6O7u3uZnd1q5g2DduuKL17p15f0dlbG1g113XfmD0N1Ud5wMQYrvlVoMgiwSS5YAxTb9ILKezZuDfV7MdPRHKaDy05+W76MUsCUKBqZ09OsjjxQfpxddVL6PZBK4+GJg+7594IHywbrflu3uJ2hbSm1I//hHsLYsXAgU69sLLyx//pUCmUH7ZeXK4m254ILyfQDFATwRcMUV5fvQ1b+l5uKDD5bvI5l0wdP2FnQelXpOQZ41oO85jR+/o5+gz2lvNO3gw3EcfPSjH8WVV16Jww8/HGeffTbOPPNM/OY3vyn672fPno2Ghgb/Z9y4cbqbBMAdkMUSGcod2I88Uvzzxx4r7+8PtiE++mh5Pp54Aig2GZ56qrzrAWDjxuKfd3SU78PdJHe0IJvk1q3BPi9mixYBxfrj0kvL97FsWfHP580rf/FNJoEvfan4d0FA3TvvFP88yAJeCgzfc0+whbcUqxSEKdDRlmQS+Mxnin93ySXlt2UwK3djKwUygfLXgcFs/vxgG34poH7bbcH697jjin8X5J7cebRj59x8c7Bx9+EPF//84YfL9zHYcyp3rR3MhuI57Y2mHXyMHTsWhx566DafHXLIIVi9enXRf3/xxRejq6vL/2lra9PdJACDD8hyTKXl72DqcErR3y+1AW5vpSr8Bqn8O3p08c9HjSrfhw7TAYLGji3++auvlr84HHVU6e+CLL7u282OFuR+Dj64+OdPPFH+InXiiaW/C7Lw6hhrg7UlyJvsBz9Y/PMg/TJ1aunvymXbBgOZr75ano+dtSXImGtuLv1dkP795CeLf17u2gYMPo+CtKXUPQUFrMcfX/y7IP072HN69tny/Qz2nIK8nOxtph18fOpTn8I7273CLVu2DBMmTCj676PRKOrr67f52RWWTALXXANsTw0aRunJV2iltB3laj6SSeDkk4t/d9BB5fk48sjinx9xRHnXA0BTU7DPd1U7Sm205fYFMPjmVu7iMGUK8PGPF/9uzJjy27Kr76fcRWrKFOBDHyr+3fr15bdFxzMerG+DhNdOOaX0d+X2SzLpptYWs8E2h+3t618v/vlf/hJscyx1T0HG3GCbYxCTrm2Avmc92D0FATGXXVb888ceC/acvve94t8F6ZupU0u/eAbV+exVplvtumjRIgqFQvTzn/+cli9fTvfccw8lEgm6++67y7p+V2W7ePa172wiMNT3rlp+W8VyULV8W1vx7Iwg6b7F1NdB2nD//cV9zJ0b9D5k7dDhg4jo0kv1ZLxInovO+7n22h3bEjRrwM0C2vEneJ/I70fHeCMiOukkeb8UuyfOHN5+HeBmQeyq8aLjnjiZQLqe9dln6/HzhS/In5OuzKQLLtDjZ7jbkKbaEhE98sgj9MEPfpCi0ShNnjyZbr/99rKv3dXg466FK2nfc56gEy9+m5lmp9LaDJuVD3/ZDasIyPkTPKiP1lbyUxcNBG+DroWmtZV8EAdGOzwfXr0RA/z6Ascd17vNAjx9Oq8t+eciqPXht4N/P+f/sN/vW8vi1XKZPn3btrD7xE9PzbHaoWu8ERF9/zv9/j1x+2Wb+cOcwzoAoteWvB9eW4jctE1AXqfGrzFjOHTHHU5gH7qetQ6QmPcjB6w6ao8U6xtuDZPhbEMOPiS2q8HH3c+vogmzHqUz7lzMur7tjkto3vTjqO3B8gFVob2x6Q06+IbP0uGXz2QPvFeuvIt+P+5UWnIuI3mdti3axN1oiYjunj2Hvn3MRfTw7Q/zHBDRsr930Nxpr9DLV7/J9rFp0yY644zb6Ljj/hno7X57e+gv/0XXXT+NXn/9ZbaPWQvWU9MNy+m7T69l+9jQPUD7nvMEjZm2kFa9H3wT8GzRVT+jX3xhFi26/V62j/mvvUcTZ51OR978JbaP1lYi02MbmRs+EVFXRz/97JQFNPNLL9Hq1fx+uf/6u+nbx1xEf/rlH9k+rr7aIdMHQvw59Pjjb9H06b+jq6++h90WIqL/+/t5dN3102jx4kfZPla8b1PTDctp5P2v05ZMluWjcG2BYG3R8aJHRHT77TZBFRDkPqfWViLLK8LGBOGeH1NDMbfhbEH279BgIZm90SzDK3NLrOuTo3uQnLgAGHkM6/qYFUN4xAYkxi5CMslygX1bcggnFqMhVkJxuRObMQMYbbXhiT9vwqc/V4+TZgQIYBbY2JYsDhz9GkbUHbrzf1zCkkkgPr4Lkdo6to9YLIZ9912LffddiyOO+Cy4UqZ998mhru5FjB4dQCW6nU0YZyCS6QWNDO/8H5ew5poowg0phOpTSDRlAARQ/hXYlA/3Y8rAb4CJ32e3ZdJ+cdQesgQ5MwQigsFQbc+YARz+5k147U8v4sPf+n/4yAxGkQ4A8foImmrTaKpNY/RIGwBv+dp/Uhxto19DHCNY1wPAhRca+FzPK3j3XQOHnzMBBx7VwPJz8ME1mDhxFSKRRnZbAGDC+BjC4RfQ3FyGgK2EHTDexKgjB9CVs9GRyaEpHLx/Z8wARh7cibN//Tb2PwCYMYPXnhkzgC9ErsaKJ5/Fgf92NJKnXMjyc+aZJv5kfAvLVxB+8dXv4ktTSoiZdtKWz3xgDZ752iWYULsBR3/r7yiW2VOOn/2bN+Ivv12DDx8RwbdmlFBSV4hVHPgw1dHcNvHAh3+yrcM71yFiuQfDZWzBabBR14eT5vvYZ4yDg/bpxIiGEmk8ZVhIHXKXy6TZPgx1wi5JDrkL5zf6bDaLaBCZfoGZGk63bQi7hY06BYflWaaB2mgIPakcelJZjKrj3Q9iSryd4tfOqQ27BWpyTg4ZJ4OoxWvLuP3CiCcWo9HZj92WcMRCJGYhk7LR35VGNM5bvmpHuArT3q0BlJBFLJkERme7MKKBPw91nW4bVS8iqXSZhYdK2KhISIGPLA6q4a0Nhx0cRmz8FnSbsu0leWAjku8uACKyVLz9J0awLvwsqLENQHDwAQATDx+FdGIx4ABOVxesxkaWn4MOieCgfToRseOs6/cmq7hTbT3mw2YyH3nwwTvRMhZSi02Of4KqqTZXSvM3fUtt+naO2Q8oBB8CIBX2Trblg49QKL/I5XL8k0YtBT5se4Dto0EdT94laAcAJCKun/6M4JjzqAc++KeDJsIJ/7/7svzD4awRbjqVvZV/NDngsh8A0N8t2PBrXECVFh52Z6pTXJ1+2em2gAs+nGKVscq0aLQFAJBOb2D7AICRiu3oyPDvaXS9e0+96Rx604J5kFDMlPB0Zu+E2840348ZjcJSKYHZDfw+rhvp9k3PlhSIuwftJVZx4KNYNb9gDtxNgQs+POaDQMgxfRgawEco7IEPwaYfcdshAx+qBLIAfJim6QOQbFZwKq3lbrS2wwcfNep48n5bdjx5IuLejwh8eMxHms98mIaJRMjtl74Mf7MOjXA3gNyWrWwfABBNuBt+ZoC/qUUSCeWjX9QWM+E+I0fQllhBAaGMYB6FQ27YJ5eTVYgeFXH7d1OWf0+10RBq1cm/G7oFjE6s0f2d6uT7ANCo/GxNy8ZeSOVBZ8sta13EahujMEwDTo7Q18V/3nuDVR748DQf7LCLDHyEjIK3dGKCD7XpO4JwhxnSAT5cIJWVhF3C8rALAD3gw3Q3AgnzEVfodkDwFgsUMh+CN8eY0iEIwi4AUBN2ixH05fjgw1SaHkfINkRibr9kUnxQFom74CM9wH/OAGDGPfDBH3PhcBiW5d6TJPQSCrn9m8sFqAJXxEZF5MwHAIyud9coEfiIq+JDAzLQMCLmAt+tKZmfcIvLLuU2lKiQWIaZlol4nQvwBnqq4KOizPAFp0wHQs2H5YEXAA7xGuFpPkig+fDDLpJwhwbNB0LysAuQ131IwIev+RCAj4Q25sMdJwM6wi4C5gPIg4/eTIBDc7YzU7ENTr+MbfB0HhLmI5pw7yfT388OfQIFzIcg7ALo0X3oBh+bMvx5BABNCXdt6BYAM8Qb3d/CsEtj1PXTKWRQrAYXzNvd/DAmkGfv0v2yPt7TreLAh9KbCpgPmebDNPJdzg276NV8DHXYRQ/z4YEPPZoP/gapC3zEdYZdhMyHJzqVaD7MGj3gI+yBj5Qg7KKYD8fOIZflj90886EHfKQlYVQffPABIgDUKc1St3A+1sXcvukWPKd82KVL8LYINEVdBmVLWqY3Mhvc+eQIDz+NKdCaFoLWPd0qEHx4x2FzHQiZD0MD8xHxmA8B+AjrZD4E4EOBINgkEmDpYD4sU4EPQbaLtrCL0sL0C7JmEFKK+pwsvOCHXSTgQxPz4YddBgRhl0KdhaA9nuCUhODDy87SwXzYdi+I+H1Tq8Bzny0Yd4Cv+eiRgA+P+QABaT7b0BRzwYeY+aj3mA8ZuxTxwIdw3OzpVoHgw/1NRY5/Ls+BTPNhGiYMeOm+vAme13xIwi6qDVqyXeSaD0BPxotMcKov7JIjICMAIPmwi2CBCqtNNitL4/TDLll52IX6+0GCfonE5MyHYZqIxN1nLRGd6mY+dIAPQMZ+1Cr9SZ+QuauLucCsJyUILYSigJdtJdB9+IJToebDqlcATxx2UeCjrwo+KsoMbam2kjoO7gRnZ7t4zIcIfGgIu4Q1hF1CheCD36c6NR8SwakHPgBZ6CWuwEdfWhPzIdA21EY0hF0S+ZRdEgg9dYAPAIh4ug9BW4yo+4wcyTOCHvBhmlGYppqPAt2Hl63VK2Q+6mMamA+gQHTayXbhaT56sj2wBeu2qQ49dbpkYZeq5sO1igMfftiF7UCm+QDyoRd22EXl4pNE36Al1VZD2MU0AEs9Ew2FxkSaD1Oeahs2DO92RKGXGkVbD0jCLuGCIlGConZ+qq0AfBixmH+0pyT0EonLwy4AEPUyXvoFgEqBDxoG4AMo1H0IisopzUevJs1HrxR8eLoPAfNRF86zQhL2zg+79MjCLp5ouhp2qTDziuKy5QUawQcXhRteUS1JiEFjqq0o2wV6Co1p0XxY8lRbwzCQMOWi03hYQ6ptqKCKYpZ/TzqYD8MwtOg+wmrDzwo3fC/skhaEXYzI8GE+AD0ZL7U+86Ep7JIWvt17zIdArxG2wn5lXhH4UIJTbWGXquC0sswvMsaloQ2Z5gMoAB9czYcCHzTk4EMedgH0Vjkd6lRbQE/Gi5YKp1YY8LKrcvyNTYfgFNAjOg2pfslJ+gX5jBeJ4NQLuyDngGx+WEtHtgsAhELu5qgj7NI/HASnQEG6rUyv4WVsidLF61StmmrYRYtVHPjw63ywmQ8N4MOUgQ+ENIRdhkl5daCgyqmGsIuebBcZ+IirBXxAA/gQ1fkwjDz7IWA+dAhOAT3gI+yDD9mbuV/rQyI4jeYz10hQRlxHtgsAhCwNzIcKuww4hJwg+0xLqi2grdaHx97JmI982EVSH6bKfLhWeeBD/ZbX+RAIl9TbKJv58A5SIwIx31A88OFoSLV17BwcQX8YGgqN6Qm7yAWnAPJhF4HmQ0udDyCv+xAwHzrqfACAoaHWRyiisok0MR9pCfMRMn29kiMAQ8NJ81FTIJiWpNtqyXYBtJVY18F8WEpwCtuG08cfN1Xw4VrFgQ9tdT4EufReiXWx5gN89sMKe5VeCQ7zDSccyZ9wOtSHy+kpMqYEp5rCLkPOfABamA/vcDltYRfBwq0r7BJNyFNtgULRqZ7D5SSmQ/MRNU2E1Rop0X34zIdUVKkr7KKYj54sv2+MWMx/8XO6Otl+qmEX1yoWfAxVhVPAPQgNkGs+AICYB0BZBSmuXN2Hx3wAetJth1zzoc52cTSFXXSk2vYLDvgCMKyYD62CU2HYxdd8CMGHjnRb7eDDlmVj6BCdNqoNtnsgKwpR6Ei1BQrGsOBwRMMw/JNtc5389hQyH6K+2cOt4sCH4RUZG0rNhybBKQAgx9tsrYLiXtwqp4ZpwlJt0VJobKg1HwVhF8mi4AtOJam2XthFmEmBsMd88DdZn7IWaz5cnYXkcDldYRdP8yEJuwD5jBdJuq128JEVltNXuo+eHP+eGtXZLhnbQUpybpOfatvJ94H8GJYwHwBgNbrtsTWAD8cmsXZpT7aKAx/6mA9BkTFhqi00hF1M0/AFMEOd8eKBD2eIi4x54AMgOI6gLoaGVFsv7NIroPMBFBwux190dYVdrDp3A3D6+CDGC7s4NsEW9K8u5kNHrY/CbBcJ6M0zHzKQOEIJwLcIWLeaiAVLlZPuHBAI0jWk2gJAXcTtG4nmAygAH1v57QlHLbe+ESpb91GB4MP9LQYftiSrQsh8GIY448UwDM21PgTgw3t7HHLBab4Kpy1YwHUUavJSFcWC06gqsCQ4XK4w7CI6BbbWK0/NB0Ie8wEAtuCtUYfgFNATdvGyXWzbFmmWdKTaAkCzKmK4SQA+DMNAozr7plOibdCk+dCVsaWD+TAMoyD0Urm6j8oDH6Y01dZjPgSbnCErrw4U1PrQkG7rDJPzXSTgw1vAJbUSDMPyAchQl6j2Kpz2ZYRxYZ/5EGRAqIXbIQcpW1AC3GM+BBUirZDph06zAmAW1XC2C1DAfAjaEolE/BIAOs53EYMPFfLbIilwB6BB6T66BgQbbGKk+7uvQ3REgMd89GSGPuwC5EMvqb4q+KgYE4ddLI/5EOT1q2p7GUHJaz2FxrzD5YZH2EWygOsAH0BBrQQJ86HhcK4ab1MjIfsRq0d79z6Y91wT2tt5LuKhuJ8eLgm9WB7z0SvIODAMLRkvkYQuwamK3wuYD9M0tZ5sK0m1BfLMx2ah2DmaqkHq/WYsf08wfmtb3N92RhR6aYo1IbulBW88P5o9DwAXfKzPtmD+iw0iP4n6CLb2RjFvHkR+9mSrQPDh/uaHXVSNDQHzkds6Br1vTUFbOx/J+6JTLYXG+Jtkd2o0Vmw8DKtX830YEQvruiOYvzTCnojRaBTd3fV44w3Z4rJ5y354+aVP4P33+SCm1jJhd4TxzsIwf8MPW3B6Ymrx5j/jOU8djQk3vo5jL/gGJkwA5swJ7sMwDNSEFG0trBC5PtuCBe/sK3pGPZk4lq1pxKr3BEyZJzgVHCwH6DvfJZ0ehZUrJ+Ldd/njTmfYxe4I45UFFvs5zZkD/ONHR2LDHz+B6V8YxRp3ANxsrZhb3Au9G5lOgOceOhTv/O8/8Nis/2XPAwC477WP4XPvPYn/+h1/PgHAM6+24LJ7p+LUbzeJ/OzRRsPMurq6CAB1dXXtEv8vr95KE2Y9SlNnP8lzsOpZaps5mZ76nzOprS345a2tRIZpE0BkmA61tvKaMf9jX6XfjTuNlj3+Ns8BEf3y+0vo3BOW0uL5nazrW1uJDMO9F1NwL786fxOZhqP8EMvPL37RXdAWno/WViLTlN/PjOt6CML7aW2lAh+8trS15e/H+7EsYo3bT/3mv2nirG/SE6/yx9vN//sGmciJ+8VQ/WIYDl17La8t3Zs76IcnnEbnfOYSWv2+zXNCRJ3/WEmLznmeHv5pO6tfifTNo/7+1XTfH6fS9Teczm4LEdGZ1/UQTP74dccdaRl3RET0qyOJLq8nevdfrMvd9jji9rS1kb9ODQc/w9GC7N8VBz5ea++kfc95gibPWMoDD9e8R6bBW0B1TcrWViIDarEyeItV4SLOWfB03UtbW74d3o9pBvOjY3EZbvdjGNu2xTCCt+Wpp7b14f3MmxfMjwuEbNGGv6ueEUB0zTXB23P7bbn8HBJs+DdfvFUEnIvdU9Dx4tltt/WRodamoXxOpcbdBRcEbw8REf3ueFp0xtF0/f++RIsWBb9c1zwYbn6Go1XBxyD2s+v62W+l0o1Fx6TUsTHp8KFrgbn//uJ+5s6VtyXIZNa1IOi4n1I+zj47WFsWLSJypdXb+gmygOva8HflMxqK8Z/344j8lLqnL3xB3pahek6lxgwXVE0/+pltxvH06cGuLzUPLrlEj5+ggEiXn+FoQfbvitJ8tLcDl/0gBpBXWhw466zyBT8LFwJExjafOQ7w3HPlXV9bW/zz664rvw2PPOIO1UIjAv7rv8q7HvDuY0cfp5xSvg8d9wIAmzcH+7x0W2iHzx9/PKiPHe3cc8v3Aei5n1J2223B+nblSiB/mlHeVq0q38fy5e4Y394uvDBYW9y6Yjs+owcfLN/HpEn5IoGFRlT+HAT0jP+8n20bRARccUX5PiZNKjhpu8D+8Q9g8WJZW4CheU7JJHD++Tt+7jjAL39Zvh/A7YM7n/4UCsfxnXcG65veXqDYPJg9W898CqrXKNWeuXOD+dnTraLAhxQ8rFgR7PPtrXcQrd6jj5bnY9264p+/8EL5E7LURjh/fvk+dNwLAGzdGuzzYrZkCVBsMl95ZfmLS6n7ee01Pffzz3+W72Pq1NLfBWlLqXF5333l+yi14Qdty6JFQLFndPPN5T+jZBL40peKfxfknkpZkPEPlJ5HQUBiMgkcd1zx7x57rPy2DGZBgNmyZYD0OQHA0UcDxUBM0JeTRx4p3p6f/ax8H7pAaykL+lKg68VtT7eKAh/St9KNJcTWHR3lXT/YQu5O+p3biSeW/q7cxaq5We5Dx70A8j4FSgMyoPzFZdKk0t898ED5bSmVKfnQQ8E2pM9+tvh3QfpWV1s+9ani3y1dWn5bxo4t/V2QDeCDHyz+eZB7GgzcBdnwB5tHQe7pk58s/vmrr5bvY7B7KvflCACOOqr0d0HAZikQAwTrG1X8dQd75JFgY/jkk4t/9/DD5bdlsD4Ock+DvbjpAEN7ilUU+Ci1WAy2iBTawQcX//ygg8q7frBJUK6PKVOAww8v/l00Wvzz7W2wSVSuj8HeQkeNKs8HAIweLfcxGCArF1gmk8C//3vx78aM0dOWIAvLsccW/1xXvwRpyxFHFP+8rk5PW4KYjntKJoEvf7n4d+WOf2DweRQkzHbggcU//8tfgm2wJ5xQ/LsgpW+mTAE+9KHi361fX76fwUBMECvVN0AwUPXFLxb//N57g/VxqdBckOc92IubjvDsnmIVBT6mTgUMY1sq0DBKv3lsb6UWvlKTvphddRVQjI4M4uOii4p/PthELbRkEjj7bJkPAPj61+U+Sv3bID6mTPFo3h2tXGAJAN/8ZvHPS22+QdsSxHZ1vwSxUgvutGnl+0gmgWuvBbYf+0HmH6DvnnSM3cHmUZBx565LO35OFGyDveyy4p8ff3z5PgCgtVXuZ8oU4KSTdvw86PMu1TemGexZ6erjUiAmyPNOJl2todTPHm+7QQAbyHZ1tktrKxEEKXZumms+nY2Tojf7po0E3wcvPU+qsm9r21FxPRRZAzozD4bD/eyNbSFyMwzyfpzAGQeeXXNNfv5w08SHX//K/Vx77Y73xEn11vWcdPm55JK8H+566ZYFKOxfnh8dfTzcxs1ws2qq7U5s4veeopZpC2nR6/2s69uu/DLNm34ctc2fz7p+dfdqOviGz9LBl5zNHmy/uWJdfhFnFmy67VabDMgKWemqOeLXSmD6ICK65ZaUCFh6bckXfLLZbbn+N1lxkbDCQmMQ9EtrK5GJrKgtREQ3PvQstUybTcfdeDnPgbJFp/+Qfj/uVHr1pj+zfdx+m6ax6xUsA/9Z6xq/11yTfzGyLEEBwvkb6dvn/JRu+fVXyHFyPCdEdM3fO6n2O+306bveZ/sgIvrR3SuoZdpCOufWN9k+2tqI5p5zJc39r1Op7Z9/Zfu55hoieHWamH3sFiP0xk2Obv91itWWbf3wn/dwsiD7d2hwXmTvtHhjGpToR8uYHcMf5VhyZBeS6SXAKF4Z44gZQXjEBljNm5BMslzgW99I4+DffhZt1sE49qnbWH7OPMvAxgUL0dEVx3ev+gAOOjRAwFvZjBnAwKtX4o1X+3Dy+V/FUSceyfLxqYb1eO3PHZj86RocNuOAwD4A4OyzQ1ix4kZs2TICl1zyNRx0UGLnFxVpy6SDbsbixc/jY1M+haOO+i6rLd87y8LsEW/CXhPFv/5zIj60f/CpNmMGsLlxNW54cC3+Y2odZswoobYsw88X2o/DipVhHHjOFUh+vIRoaCc29RNhjOq6B0b9BNb1nu07xkZtYjFGRfnCgDPPMtH98iKsbg/hm5dMwkc+EUCAomzGDODDk97FnMvnYL8JGcyYcT2rLTNmAFPr1+H1hzaJxu8PfgAA9+ONN9I49dRP4rOfLSEy24l9+tMjkM39AUQ2MplNiEZbWH4++4kQro90oC8aZl3v2WEHRxB7bQt6QvwofzIJnPT5NuDlh4HoYQB4IqIf/ACYP+p/8PrbKVz95TPxtY8PItwpYTNmAF/4goF5n/8ukuk38Mmjfw3gUJafo4/K4VcXvIZR9QM47dRPALAC+9lTrSLBh6UOeMkVK2BQjplqgBDvPIeI5Z4Ea5MN27FhmcEHnBGLYUx4A8aENrMBjGEYGN2cQ1NNJ0aP5J9N0TJyAOnRr2Fk0xfYPpJJQu34LsTr+EPSsiyMHJlCff0qNDcPAAgOPgBg3DgL2ewLGDmSv8mGTQP1Y2z0jepF7Rgb3Kk2fpyB2PgtsAT9AgDJln4k6TWgma9oGxV31a4d/QFSkYqYjtNtAWBc0kDM6URjTRpAcPABAJMm1+HA0a/ByoVBRP7pskFt/EQTdeO7EIvLZHQTJljo61uFmprJbB+GYSEaaUEqvRap1Fo2+EjG3HVqfTqLrEMIm7y+GV3vpqx09MgOfUTjePd352qRm0kT41hlLEC2/nMAgoMPQGWBHbwO6bc2IBckNW87O/CgMA6d2I1cxkF/VxoNo3hr1p5oFSU49cw72ZbHewAw1Ubg8A788sAHAGQc3mmwppeDlsuJTrYNq4OxsoKDsUIR935yWcnJtm47nCz/sDAAiKuj0gcEB4aFQ40AgGw2QLGRIlZrqZNgbX7fJtSpqX3Cg8ugjhRHmn8wXGO0EQDQn+tHjjn2AT2n2wL5Y8nT/fy2JLwj0rNZpPv5J/aaNS47YAuPSK9TKUQ9QmAWjbm5zan0IHnoO7FRkRCipgEHwLo0f26PrnMZ1Y26wMfW90Vu9q3dFwCwpneNyE9o1EgAQG7TJpGfRL27fvZ3y8bOnmYVCj7c37R9mcOyHSimwpExHwCQsXmT2ihIgHcEx8j74CMlAB9hBT4yEvDhDkXKyjbZmOoXydHk4XADACCb6xK1pdZy+7bX5gOqGnV8fH9Gdrw5Iu4prsjwN9iacI3/331ZwUZd6zEffCAEFIIPAfiORBGJu2+b/V2dbD8e+HAEQAgAalXf9PXx+xcAIhE3bSKb4QNowzAwIuz2cWeOPy+ba931YWt/Bo7DfuUD6lTOe5+MeRtT4/rZ0LdB5Cc00mUCJcwHkAcfA9389XNPtIoEHx61yp4Hhgx8hIwQDFWAhw0+IhE/d4wEb/khtenbAsbBUsyHLQEfapMlIfMRDrubQFbABlmWu8nadr+oLTU+88G/p0REMR8ZIfMRVWUVM/wNP2yFEbXct1gR+PDCLoNVWyrDomrDlzAfABBTG76I+VBAyBEyHzrAMwCEQi6AzgkBdH3InZddgpeCxri7PhAB3SlB/8RHuL/7t/B9AKiP1AMAujPdIj+hZrc9uc2y9sTrPOZDyAztYVaR4CPPfHAdqLALU/NhGIbPfnDDLoZh+OyHhPmwlAjMzvE3SD/sooX5kIGPUMh9Nrkcf0MyLbdfbVu2AdSovu0VvDXWKGaqPy1lPhT4SMvofI/96M3ygYNVpyfsEvOYjz5Z33jMR6afD+ItBYQobYMEc8kDH2nBnAYK2Ltsp8hPgwc+BGM4EjJ9Bq9TwFIhocDHwBbB4g00RN2+6UrLgJnV2AQAsDs7RX7yYZcq87HXW575kIZd+ItexFTgg8l8AICpyjGS4C1JK/gQaT70gA89zIe7GTkOfzMC8mGX/mHBfCjNh4D5APLgoz/LZ4XMGl1hF/dZpyQbGvLgIz3AZz6MWMivJu4I2qOL+QiHvNCh7O3eAx/dAvABAI0Jd43oHNDAfNgZUfjQAx9S5sPy9EJC8BH3wEdPVfOx15vHfPDBh0xwCrgUNiADH4YCHxLmw9QBPrRoPlTYRbjJeuBDwnxYpsd8yMCHF3bpFQhOfeZjGGg+AF3Mh6awiwbBKQBElUg5088HVIZpwFDiYEegn9IedtHEfEg0HwDQEHfn5dZ+wdt9pAbw9HIDfC1LQ0QT89GkmI8gp2AWsYQXdumqhl32evOyXbiZtjBUtzE1H0BedCoCHyrEAMlGO0zCLqbmsIuM+XA3Iyn48JgPHZqPrE3ICJ5RPuyih/mQgA/TD7vI2hKJqb5JaQq7DMg0PqYCiiTITIqqFwox8xEeXsxHkwpLdUlYKsPIsx8DfJ2Fx3z0ZnuRdQTrhCbmwxec9lTDLnu9ednqxE229ZkP/oS0lGjVZupGAABqYSDBm7UVcnvDzvFjqJYO5iOSz3ZhZyFBT9jFLAi7SNriaz5E4CNfA0bEfviCUz2aD1HYpTbPfIietYY0cQCIJtx7SgvBh6Ha4wjaU8h8SPpGF/NRr4n58ESnnRLmA8jrPgSi0zov7RxAj2A+6AIfMQXMUkLt0p5mlQk+pNkuQsEpAISUD4f4G5MRUiK3rID50JDtEtZY5wMO3ArTTNMhOPXCLgDgOHwq1A+7CBbusGUiokCMSPehoc4HUMB8CLQjlgIfsG1ZppYm8BFJKM2HIOwC5MGHhPnwwAcRISMA87rSxfVpPrywi1DXoIH5CJkh1IXd+SAJvVhNjQAUiBa87ERr5Cnje6JVJPgw1V3L63wINjgNzIcXdqGcgDrUEnZxqWId2S4ARNkCegSncf+/Jem2OsIuQEGtD0nGiybNR21Y1aHICcSZiYQ/CW2B6NRnPoQ6oYin+dAUdnEE7QmHwzBV30gyXkIhd3PN5WRMV0NYnmoL5MGHmPmIN7q/pem2UXm6rVVf75c7kLAfnnA63Z8TsV17mlUm+BAzH7I6H24b3K6XVIocLpoPyxN5ZgSCKcvw42GUkYMPCfNhGBZMlY3kOPzYe60GwSmgKeNFQ50PIM989AlAjGEYBaEX/uaoLezip9oKmY+InPkwDEOL6NRS4MO2+0ACdjWfaisLCTQlvEJjUuaj0f2dFmpZNKTbGpblAhBIwYdiwW1CTrD27WlWkeDD13xwUaawyBigJ+yiR/Ohj/mwBWyDYRj5jBfBW5YOwSkAmKZcdFqrnk+vRCgKTbU+NIVdEmF3o5YIToF86EWS8aILfEQ0aT50CE4BPaLTkJWvRith73TU+QCAETX5KqciU6ABKWHxNFVoTFvGiwB8hKMWDJWCKc3c2pOsIsGHnPmQp9rqCbto0HxoEJzms11kqWJ50enQhl2AwowXSdhFLjgFdDMfMho+EXLBR0pYgM3PeNEQdnFyBFvQx9qYD19wKqy4qoH5MM0YDLXG5Gx+H+sCH00KfGzpE4KPmAsakNLDfIhrfTS4fuwuAYNiGFqOCtjTrCLBhyGt86FqdOgAHzrCLkOu+fCyXYQbvqf7kMbMAVnYBSgAH6Kwi6f5kC3cWmp9aNJ8xEPq4L6sLA1ZZ9gFAHICtkFXqq0OwSmgB3wYhpE/JkCgz6nXJDgd4YVdxOBDL/PRLQzfmI0KfAgzXnTVrNmTrELBh7TCqcd8CDZ9pRuRZbto0HyEdYRdNDEffthF0BbNYRdHFHbRzHxINjWvzoedAXL8DcAHHzkZ+NARdrFCJkzLncvZNL+PIwn3nqTZLmZEnmoL6CuxHrLcPpYwH43qYLmUQxgQjGMv7LK5LyMTVSqhqDbNR0YGYkJeuq2A+QCAaLzKfFSEWR71MYSCU5/5IAHS9TQfgrcSj/mQHGWvo8gYMNzCLqrKqaDEun+qrfCtUcvJth74AESiUw98DIewC1Co++D3TazWbUuqT9YWMzZ8mA8AsEIe88G/rzrLhMJ3otCLF3ZJ5xwMSDJnNDEfuqqcml7YpVMIPjQdkrgnWUWCj3zYhenA1Bd2cdhlVgs0H8Olwqk07BLKFxrjmrawi+lS8SLBaYHmQ/K2l4hqYD6sEKCAg+RwuVjI3RilzId/sm2PTIPiVTlND8jBRzY1AFsQwjRUyqQjaAugr8qpDubDMAw0KjZxq0BbVhOx/Ho1It2HJs2HjlRboEDzUQ27BLaKBB+mrrCLLQ+7DH2dj+EkOPXOdxkGYRfFfEjCLl6FU4LscDmP+eiTnu/iiU4F4EN72EXINngFmjKCRTuaSPhvJClBGMhU1LkUfOhjPtw+lmg+AKBJhUO3Cl4KDMMo0H0I5qausIuu8110hV00HZK4J1llgg/vaJYhPFhOp+BUovnQcbBcYXl1yRu+jpNth5PgNGGa/gST6D7qYu499aSEC5NHWQsWbn2CUz1hl3ysXDAHTAsxlW6rBXwINxBth8v5zIcMfDT6JdaFtT68jBdJuq0uwWlUU6ptQyMAHeCjynxUhHnMB3uftPSd7SITnFpYn23B/NdHob2d2Q6NYRcQwbEFm0DYxLruCJ5+PsS+H13Mh2XKU20Nw0B0cxSZl2qxfDV/rNSr0EK38I3af2sULNx+2EV46F4+7CJ7g81Xh5Q976hiYlKC7BszoYf5iMfj6O6ux9Kl9ex5ABQyH7LQVpMSnXYKq5yOULoGUcaLBz6y/SLm2c92GWZhFwmDt6dZRYKP4ZDt0r95BHrfmoKN6yJsH/e98Ul87r0n8eXrjsOECcCcOcF96Coy1tnfjBUbD8PK9/gLy90LmvCJWz+GE2aOYt+PLsGpacmzXebMAVb992Rs/d8DcfTkKOt+AJf5yHXHsOzluGgzyr818hdcr86HNOwSah6J9dkWPPP6aNE9RRMhbO2N4lkBYAWAWI1cdGrGQ1jXHcGz79SibTWfAfzb38bgxhvPw9VXf4E9DwAgEm5CR8cYzJ9fK+qbxrAFuyOM5582RH68KqcizUe0Hu3dScxbeRTal/OPsm+MNiK7pQVrXp6E9wUvBlZjI9ZnW/Dsyomy8ZcIY2tvFItfjsjm+J5ktIvtyiuvJAD0/e9/v6x/39XVRQCoq6trl7Xpy7csoAmzHqW/v76O5+C5X1PbzMn01OVXU1tb8MtbW4kMwyaAyDAdam0N7qOtjchUPrwfy6LA7XnvlQ66+ewnae6Vi4I3QllrK5EBty2m6H4c8f309PTQ5ZdfTpdffjk5jhO8IcqWr7iGnnhyf3pn2c9Y17e1EZkmie+HiGjmTzsJqm9Mk1j9S0RE95/qjttb/spqBxFRV7qLDr7hszRx1jdp+coBZkOIfn35ajKRE9/TrG+vJ0ND3/zpih/SdV87nl7/1xM8B0R0x+22P4ZF88CUzwMioquvnk+mKe/jE36+hWDK+/hHf3mNJsx6lK77x9s8B+T+bdPIifqYiOi223MEHX5u7CkYx3w/V/6oS8s4HmoLsn/vUvCxaNEimjhxIn3oQx8aVuDj+CuXUMvXn6O7/rmedX3rpU8XTIBgA6Wtjcgwtt2UDCP44vLUU9v68H7mzQvm5/03NtEFX15E3/jCKlrEwB+6Nlld9zMwMEBnnHEbff7z/0fPPpsJdnGBvffer+jmW/6TLpz1KKtfdN2Pzs2o9X/uZo9bz+64wxEv2u4c2PaeTDP4PekCrEREj9x4Nf3whNPo1isXsK4fbvNA17hpa3NfkHT08Q3/fIf2PecJOvkn7w5pH+v1o6ePdc3xobZhAT56enpo0qRJ9Pjjj9PRRx89bMBHayv5b5GGEXzxlC6c999ffHE5++xg7Vi0iMhNFt7WT9CN8qQvpbbxM316sOt1LZa67ue00+wCPw4df3yw6z376lffEfXLcAOZOjZ8XfdUag7MnRvMj66+ISI6f/pTPntnGMGBWam2XHBBMD/FntNQjhudffzNizr8OcUBv7r6eE/xw+njobYg+/cu03x897vfxfHHH4/Pfe5zg/67dDqN7u7ubX52lbW3A2eeCYA8wamBM89EoBjbwoXudYXmOMBzz8nadtttwdqxciWQPyIvb6tWle9j8WLgT3+JbOPnzjvdz8u1vhJC+gcfLN8HALhJBjveTyn/xWzxYuCuu8wCPwYeeww4/vhgbVm8GHjwwUmQ9EsxIwJmzgx2jauDpB0+r6nZ4aNBTce4dX1s+xkR8NnPBmtLKbvllmD/vlTfPP54MD/t7cANdx4DUhI4IuCMM4LNx9ra4p9fd10wP+7fN7b7f33jJmjfuPNvRz9Bk4La24HfXdUMb045DgKvvZMm5TMVCy1oHw83P6We1c9+Vr6PPdF2Cfj44x//iBdffBGzZ8/e6b+dPXs2Ghoa/J9x48btiiYBAB55pPji+eij5ftYsSLY59vb1Kmlv/vDH8pvx9KlwT4vZrfdBhTb8G+/vXwfixYV//zmm4NNwPffB4pNwCBg6pFHin/+t78FAw46+mX58h3HGgA88ECwtixZUrwt3/te+T4APeOllC1bFmwO7bdf8c+fflpP31x5ZbCxd9ddxf0E6ePBNuMgfbNwYfHPg46bUi8nQfvGnd87+rn00vJ9AN7c3BFU/dd/le8jmQSmTSv+3UUX7bl+Sr14PfVU8H7ek0w7+Ghra8P3v/993H333X6++mB28cUXo6ury/9pa2vT3STf1q0r/vn69eX72Lix+OcdHeVdn0wCH/1o8e9efLH8dpQCO+++W76PNWuKf752bfk+xo4t/V2QRbfY4gQAjz2mpy1B/JTql+efL9/HpEn5Srrb2333le+n1Jh94YVgm1Gp8RLkTXgw4PzAA+X7GWyjDvKcSvUNEIzRefvt4p//5S/lb9SDPe+gLGAp0/UmHGRelppTr74abPzpGsf771/883vuCQaqhpOfwcZOULC4J5l28LF06VJs3LgRRxxxBEKhEEKhEJ5++mncdNNNCIVCsLc74TMajaK+vn6bn11lH/tY8c+PPLJ8H6NHF/981KjyfZSKRB1wQPk+DjxQ7uNDHyr++WGHle/jxBNLf7dsWfl+VIZs2Z8HbYuqWF2WHXVU8c9ff738hSCZBD71qeLfBakoPtg9Bdmojzii+Ocvvhjsnv7934t/N2ZM+W0ZbLEN8pwG65vNm8v387Wvlf6uXBCTTAInn1z8uyeeKL+PBwN4jzyix0+Qealr/A3m59ln9fgJAjiHk5/Bxk7Q9uxJph18fPazn8Vrr72Gl19+2f858sgjccopp+Dll1+GZVk7d7KLrFScvFS8tpiV2vRLfV7MSm0EpT4fzj6SSeCUU4p/d9BB5fs5+ujin/+//xesLWefXfy7IM/ntNNKf1dueA0ovaAE6d8pU4CPf7z4d0E2fF339M1vFv886Jg566zi3wV5TlOmlB43zc3l+znhhGBjtZRddVXp78rt42QSuPZaPX50zMvB/AQZf1OmeNqrHWORpUB6KT+lnnkQG25+Bhs7e63tBgHssMl20ZFipUONrs+HLPNAV/ZCW1vxTJWgbSmm+NbRFs49XXvtjn44Y2VX3RPHj6570jdmhpuf4TFuiIguvXS4jT+5HyKi444rvC8ncBZZqfYM/diR+yk2djh+htKGRaptoQ0X8EGkCmKpnGpuga/WOxwykSWAX+vATfmV1UtobaV8gRtG2rDnwxCkHnt2xx0OQbWF68ctVqbaAn5bWluJICx6RkT0k5+sIkM9I8vi1cVw25JfbGX3pPwIntM1P8sXRbIswXPy6hIYOdE9md5zgi3y448bQd+4fmTziYjo6tk2mao93D4mIrrssi5/HEvGX/5FR/asYMjHMRHR929aRU3Hvk6nXrWM7cMtNqbGjiEbO/CKNQr9+GNZ4Oeaa/LzXDKWh8qGHfgIYrujyNhP7nuPWqYtpO/c/ibbR9sFH6F504+jttdWs318+JfH08RZp9MLb61h+3juq+fR78edSm/8nl+Z8em/bqBzT1xKd1z2GtsHEdFVp86kbx9zES2Zv4Lt453/66C5016hl6/mPxsioquvvoemT/8dPfUUf4Hr7V1B9/1xKv3iF98SvX1c8XwHNd2wnKY/KXuF+cIVi6hl2kK663FecTwiInIcajv/g+7YfZNZ4ZeI/vnymzRx1ul01K3T+G0hold/8QD9ftyptOhbl4v8/PEXy+jcE5fSo3e+L/Lzy//5MX37mIto/iNLRX4Wn7+E5k57hd5d0sf20d/fTzNnXk/Tp/+O3n03zfbz9tvv0nXXT6O5f/o82wcR0dxXe6jphuU05a/8OUVE9NCL7TRh1qN00q0LRX7aHr7THce3fE/k55dPPkgTZ51OZ8z9scjPixfdQr8fdyq9OOtmkZ+5N62gc09cSn+5/T2Rn6GwIPt3aChDPkNlzS02YuO3oLYpYLGEAkuO3IpkzXvAaP6JkTWjtsJueB8jx/JPr9x3ZAoNicUYkxhE+bQTSyYNHLRPJ5pqZGLf0SMHEEovw6gmfp+MGwckxnchok495VoyCfT3r0J9fQD17HYWiYzEqFHrMWrUeowdmwYQQA1ZYOOSQOQjvcBImcRqwngDb/dsAdUMktazMzMMJEd1I1m3ABjZDSBA4L7ADpgYRe0hS2BHZGNmwuQahBKLEU/xzxYCgIn7W9j0didqQvw5DQATJ4aR3bgYteFPASiRllaGjRtvYEy4C801KQAJlo9YLIbm5gHU169CfX03gJEsPwccMAof+cgLAIBcrg8hZh997MAwIpt6scE0QET+GVlBbb+R7t9ftUl22m5y8hgkJy4AsFXk55AD6lB7yBIM1MjOg5rwgQbEEotR19cg8jP5sCg2vtGJUHbv3p4r8mA571TbrCNY8MJqQcnyTz0Nm+oQNMHpjGbCbQcN8A/6siLuMMgJjrIH8qfb5rJptg8j4gqSKSNrS0S1JZPhH2IVCtXDmyK5HP8k2Fp1JHmv4PA+ABhd56aud/Tw+xdA/nTbNP+009qwq9Luy/aBihU0KdNCI90NNbepzFz1ElbT6ALDvk5Z39SOcJWqvZs3ifxYqj22oD2GYaBBnZoqKb4YCtXBstznlU4HqCuwnY2MqGPfHUKfzR/LYxrccby5LwPH4Y8dNE10f3fJyjOMTrgpjBv7S9RRKNPCyX0BAJn2Ern6ZVrdCLd/pGN5uFtFgg9L3bVgzQQslQMqAA4Ry90gs4LTcY2EOn21nw8+QmG1wQo3/FBELbgZwf2otjjC47t1nG5rGAYsywV3ts0HmbVqwPUKFmwAqIu5i39vWnjsdlSld2Xk4MMmW3TCralS651u2bHv/pHkwuPsE/XuZj/QIzxqvdad206f7G26rs5lAHuC5GcXsVjMZcsk4KPGshBXJT03Zfn97J1uazuErgFB/yRUSlO6W7QOj4674KNjoEMEpCPJJAAgKyzMkWhw+6evqwo+9jrzmA9Hgj4MlTJM/E3SAx8Zm/92bsbdzdHp52+OobB7L7aU+VAbfi4jeNsLDx/mA4AW8FGjwEefLQNUNVF3g+1Py/wgqkJaAuYjHorDUEXh+rJ8+txSee52b69o4Y/GFfhIycBHVLUn1Rewfvh2ZsTccewIgWJCMZsDAmYTAMLhEQCAbFYWovDYj80Z/n1FQqYPpDf3CeZnvBF+YcIB/n01xhoBADknJxrLIZV77PT0wBE8r5oG9yVuoCcrY4aGuVU0+LAlD9ZU4MPhbwR+2EXAfJiqiqyTEjAffthFtql5YZesYMM3VFtoGDAfgB7w4YddhMxHQoWk+gQLPwAgopgPAfgwDMNnP3qz/I3aVG/2yGZBgnETiethPmIJV4+QDnKoUBEz1eZKA7JxHI+7zKYYfIRchimbkzE6zWH3viTMBwA017hrxRYJ+DAtIKb0Ff1b2G7ioTjiIbeft6b5IMasqYGh1h17K99PvC4MGAA5hFSvbP0azlaR4MMyvYPlBE40MB8e+JAwH4ZaDJDjt8MK6dJ8qLBLVgI+FPMhbMuwAh9e2EXwjIA889EnDrt4zIfs7b4m4m7UkrdFs6bGL3fqCEILYcU0ZISbvS7mw/SYDyET4x1RIQUfIQU+cjlZ+MZjPjYJAfAIH3wIQwsJl9GRMB8A0BhtBABsTfH9GIYBq6kJAJATgA/TMhGvddevvTn0UpHgwzQ1hF10MB9KN5JxBOg/pN6wcvzFwGM+bKnmww+7CMJISvMBm0ACpmB4hV0UY2E7otBCjVr4+zK6wi6yt2AdzIdhmi4AAWALwEdh2EXSx7EaJcyUhl1Ue6Tgw2M+Uil+RhwAhMIe+NDDfGwWMh8jatwXFVHYBQDi7maPAT7zAQBNMddPZ7pT5McDH/ZWmZ+ECr30dwn7ZxhbZYIPFSbMScIuhqdaFWyQpgbBqaXAhy0AH0pn4TgER7Dhe8yHBHx4zAcgYz90MR8hH3zw3+495sMB0C/IsEpE3b7pl4ZdPPCRETIfYcV8ZIQhCsU2OEHPaS+wiApzODaJtEvRGl3Mh2qPMAykK+ySZz40gQ/hGPTDLr1S8KGYD0HYBQCaoi5okDAfQCH4kLWnpgJEpxUJPkIe8zHEmg8/20Wg1DZCXtiFvxh4qbaALPSST7UVLCiW4WvIJKJTXeDD9MEHf/FPWPn+7ReAu1o/7DL0glNAD/MBAFadHHyEo5Y/bjIpfv/4zEd/P0gAFH3Nh6AtgE7w4T7zbJafMg4AjepFpVMYQhyhsoHEzIcfdpFt9p7oVA4+XD8SzQcAxFX/pITZUsPZKhJ8+ILTIc520SE49TQfJKBBQ6EC8CHY8H3wIWE+DKMg40UA7DSFXXQwH6Zh+BkvklofvuBUqvnQIDgF8syHFHyYqqCcJOximAYiUU/3we8fj/kAETICEbcxzDQfYU3MR4MST3cLwYcWwSmQZz6Emg+f+RAITgEg1OS2R6L5APQJqIezVST48ASnQ53toiPVFkpPQII0TsM0CkSnAuFq2AMfMqrQy3hxhkHYxWM+cgLNB1BY64Pfv57mo1+b5kMGGuoirh+J4BQATI/56JG1J6Ih3dYKhWCoWhZZgc7C1KT58MCHWPMRcrNCpIJTD3x0CphWAGiu1QU+lOZDGnaJaQ67bJGCDz0C6uFsFQ0+ZIJTFe4QMB8h5UPEfITcTVYiOAUAK6T6xBZUq9TAfACFGS8CVklbtosq4iYIuwBArSVPt/WzXTIyUaUuwanPfAi1I5av+ZBtjDreFg3DQCTmPvOMBHzEvHAoibRL0airoxIzeJqYDy/s0iVMhdcmONUUdmmIqEqyGWFxOR98yNpTZT72cpOl2qqukzAfppz5MNSbiETzAbjpXQDg5CTgQwlOhRu+V+V0OIRdTPWMHElGElAQdhEwHyqsQAQMSBZ/TYJTXZqPfNhFyHxoSrcNqw0/Kwm7FGhQJOyHN46z2SwcgQZFV7ZLg9KYdQnDLvUKnPWkhJoGn/mQMQ316sgBKfjwjwvokB0X4GVvpavgY+8y70AkEfjwwi6CbBeP+cg5gjc1Dam2AGAq5sMWZbtoCrt44GM4hF1MdyNyHNk91YS8Kqf8e4qHLa8khkx0qklwqk3zoVJtJVV6gXzGi7TKaVgxH9k0n/kwTMMFINADPgDZWNal+WgM6RGc+tV6pSFETXU+6tUBiV1pmSA31OKWas9u3CDyU2U+9lLzzmLUUl5dwHx44MMWhG501PkAANMaRmEXT3A6LMCHYj5Idk86wi6GYRToPgTPW5PgtDaSP1xOYqbK6HAGhOBDU4n1cNTVWUg0H4CedNtwOOy/LKXTfADsZbs4Tga2zb+vhnC+Zk1WoJnTJp72U203i9w0RPWEXcItLQCAXMcmUbZULOGuX9Vsl73MvLdHUdV8U57tooX50FDnAwAsP+wytNkugB7mI6RAmeM4Iro6z3xIwYd7Tz3CN8b8oq2D+dBT50Oq+TDV4Yg0INvs82EXKfOhwi4C5gPQk25rGIaWEKJl1UDHCc31Vr4OjyT04oHodM5BTnLsQKHmQ/Ay6TEf3UIdlDVCtSebFTF5sToXfAxUy6vvXWZAA/rQwXwYGsCHV15dWHHQVGEBWwvzIQtRmD74EPStV/8EgC3IMDENPZqPJvWctgqfU6HolG0e+Mj2icavp/mQMh9GzGM+ZKLePFUt1HxoEJwCBVVOhWBIB/gwDNMXnUpqfYRMwwfSXQK21SuYBwD9Ev2Sx3zYGUBQ7M4DH/25flkCQDTqZyA6fXzw4df56M2C9tLD5SoSfJg+9tCQaquD+SDB4qQh1RYoDLtIRG3e2S6aBKcC5sMqeEPLCRZJXZqPUd6ZGELwEVe094AkVu6BD0AkOtWm+dAcdkmLwy6amI9hBD4AIBxuBABks50iP166rYT5iFimX+xRdEpzpAZQJQskGS9e2jggYz8Mw4CpTiJ2BIcTeme7kEN7rei0IsGHH3YZ4mwXSwEYmeBUU6qtBz5E2S666nx4RcaGA/jQw3zEVe2IlPAtJq76RpTtEormF2yB7sN7W+zJyLQjftilXxPz0S/c7D3BqVTzoanWh5duK9F8AEA47GaGZHPCQ9g0pNsahuGzeL1pwcuKYQCJZve/BboPy7RQF3YBiFT34QuoBeDDCpt+GHGgZ+8836UiwYcnORVtA+pQOB2CUy3ZLtJ6Fn7YZe/QfBiG4Yde9DAfsnuKqLe8jEB/AmhiPgAtolPvbbE32wtHkPVleMyHcLOP1egR6YV8wakMDO29zIeedNsmJarcIhVVajrfxUu3lWa86MreitXlQy97o1Uk+MgzHwL44b05Cmp0eOXVJdkuZtxdKEn6ljassl3kmg8AmsCHx3zI3jojXtVMEd0GxMIamA9AS7qtt1g75Ih0H2Y8gfXZFjzbfiDa29luEKvVAz68810GBGfNAICp3lxpLwMfutJtm3SVWNecbitmPjSEXYB86GVvFZ1WJvgAkOuOYcM7DfzFzgqjvXsfzFs8mu1Di+A0Fsf6bAsWrj9EtHB7glNptktnfzPeapskaouOVFsA6O1txMqVE9HWxt/wTTOKjo4xWLx4suieIqYBuyOMtheiIj9+2EXIfLSnD8a8lUeh/V3+Bhu1okBnEr1vTcE7K/kL7V3/Nxafe+9JnPrCbEyYAMyZw/MTS4SxtTeKl95IiPq4RlWp7BOeTKor7BKPx9HdXY8FC8Ki+wqHm9DRMQbPPFMn8tOgqcqptvNdPPAhTLfVVWhMR9gFKAAf1bDL3mN//3Mca249Fgtv+iB7sZsz7xhMuPF1HDvz62wflmkhu6UF7y4Zz14M7vzrSHzuvScx/c1fiRbuLd0RLFvTiDXrjJ3/4xJ2zx9r8fNHf4dfP3kFJkwgdlt0hF3mzAGuvPIs3HXX6ZgyZRS7LffeOw4nT5uP7/3PtaL+nX9fFJumHYp5Z+4r8pPQwHzMmQNMuPh+HHvXo5hw7Gdw3XV8P6/PfBSrrv4tPn5oC+ue2tuB//lZEg5UhoADnH02WPNh7sNRXHbPVFx9H39eA0Bt4wh09jdj0ctNMkCfCGNddwTzl0ZEfp59djJuvPE8nHfeh0T39ec/fxKnnDwfp516sshPQ8iC3RHGSwtM0X0110SR645h4TMyP4iPcF8EF9TIQFWkAdktLXhufkzkx2pqxPpsC+YtCMmYvLoItvZG8cwCS9Y/w9VomFlXVxcBoK6url3iv62NyDQdcuWm7o9luZ8H82GLfBARnfmz5wlGjgAi0yRqbd3990Lk/l3DcP0YhkPXXhvseq8tng/vxzSDt4WIqGfhGlp0zvP00MUrWde7bSFxW3TdU1sbkaHhORERXf7w6zTm1GfohLPW06JFwa93x8y2fQMQXXON3A/nnp56ase2AETz5gVvj67xd90Va8iAzZ6Xnv1mdh+Zqk1cP7rmuC4/RET/fVUnQXhfRET/ff46LX5aL/w7mYJ11LMvXvywaD327IaT/o9MyP1c+r2NZEDeP7vTguzfFQc+dCx2OnzoWCz1tUO+Gd1/f/G2zJ0bzA8R0S0/7PQnnWEEn3S62qLLj64Nlojoo5/dSkB+3EyfrqctQzH2iIgWLaJt7sf7CQqsdD2rYvPSMIZus9fVz7sS5HH7Zzj1c1sb+UBouNyXDj+724Ls3xUXdnEP0KQdPldhut3mY+FCgGjbEIfjAM89V76PUiHFIDo5tx07fn7hhcGo7xUrgn1eytrbge9eUQ9C/vydM84I1pbNJUK/s2YFa0spPw8/HMyPjvECAIsXAy8+2YD8AQHAnXe6n5drkyYBZpFZ7zjBnpU6iHYHO/fc8n0AwMqVQOH9eHbBBcH8lLJbbgn274vNSyLgiiuC+Vm+HHCcbf3YNvDLXwbzU2rsPP54MD/uWrGjn6CaWl39M9z6eeFCAMPovnT5Gc5WceBjyRKg2GK3dGn5PtyJv6OPJ54o30epvxekHaX+XtCJV8r+8Ify/+3GjcU/v+uuYH/T/fc79m2QtjQ3F/985Urg0UeDtaeY3XNPMDBUarycdVawv3vbbcX9zJxZvo9kEpg+HSi2Ed15Z/l+Sm1ar72mp4/nzw8GqqZOzWexFdrTTwfzUwpw3nZbsGde6sXguuuC+Sm1Xl15ZTA/ixYV93PppeX7APT1j95+3nEsB+3n4XZfpUyXn+FgFQc+3nmn+OfLlpXvoxRAePHF8n28+mrxz197rXwfPSWyJJ94ovwBOnVq6e8WLCi/LQcfXPzzt98Otvg/80zxz++9t3wfg91TkA22FIgBgm2wb79d/POXXw7WN2vWFP/82WeDLUhu5vGOG9Hvf1++n0mTSn935ZXlt2WwZ3XffeX7SSaBY4+V+9H1zAdbT4L4Wbeu9HdBWNKxY4t//uqrwcagrv4ZzM9FF5Xvx+3n4iL5IP2jqz2D+QnSnsHmRZD2DGerOPBRapM86KDyfRx4YPHPDzigfB8NDcE+L2ZHHln6u3IHejIJTJkib8uJJ5b+7rHHyvezzz7FP3/99fI3xsHuSR12W5YNtgAEAatf+1rp74L0zVFHlf4uyMI2ebLcTzIJ/Pu/l/YR5Fl9+tPFvwuyKQLAhAlyP7qe+WDPKoifweZVkPCfrvmpq38G8xOEWRysn4P0j672DOYnSHuSSeCEE+TtGc5WceDD3bB3pOmOOKJ8H6X+bRAfRx9d/PP/9//K9zHYglKK/itm3/ymvC3JJPDlLxf/TlWHLsu+/e3S3wXZYHf1PY0aVb6fE04A9tuv+HdjxpTv57TTyv+3u8NPqT4GgulHTj65+OcLFgRbZEuB8SB+kknglFOKfxfkBWXKFODjH9fjp9Race+9eu4ryBjU1T/J5OAhn3LHj87+0dGeZNJNFZe2BwAuu0zenmFtu0EAG8j2hGwXHUrktrbi7QiqZj77bLnKX1dbdGUcHH303ndPutpz7bU7ZodwVPA6/JTKlAqaOVOqbzjzclf6YWVQ7EI/e/p9EREdf/yO45BT+kBH/wzH9px0krw9u9OqqbaDmK76BK2/7iETWbXYOqwc7NZWIqh8cMBm1wHQsRm5bfH88O5HZ5qZ/nvi9+/2Gyw35W2b9hi8PiZy06A9PwZz7BERXXNVhgy/HoFgDBc8c4N5X8XAEGde6vLT2kp+ujeQ49egKKyhw5xXRJrvy9BzX/nn7tDtdzg8R0T03ZkpgqqrYllDO36IiC68OOWvy8OhPZdckvdlCeb77rAq+NiJFU4c7uCidC+1zZxM86YfR20retltOf2+H9LEWafTbU8/xvbx68tXF2wi/GI0c3+1gs49cSn99ber2G1xF23VFsEGe9sNKTI1FNj5v/97jaZP/x398pcP8hyQt2DbanPlgRjPTvj7Smq6YTn9eukWvhMiOubHz1PLtIU09+lNIj9tF3/CHcNL32L7WL3aoQP+5yJKnjOTnnuT/0p29eysP3bY85KIrvx51gcOEj/L3uyibx9zEf3whNMom07znBDRqjfTNHfaK7ToO8+Tk7PZfn7+c/kmTUT03nvddN310+i+P06lbLaH3Z6V7zvU/IvlNPL+12ltit8/tu3QQefNo5ZpC+lfS/ntueZqxy/uJekfIqJ/u+ObNHHW6fRnTiU/rz3XUL49pmzdaL38NTr3xKX01EPr+E52gwXZv0NDGfIZKpsxA5j96r/Q2xHDXy/+CD52WDy4EyuKZP1aJOvXAmPTAAIWbVA2Ykw/ag9ZgtpR/8a6HgC+9Y00Jv/hs2iPfgCf+ectSCZ5fvYZSzhon06MqK9nt2XGDKDrhR9h+XLC6Zeeho9/7hC2n8OXL8Kqrjg+cdVhGDeOV/Z9wgQLEyeuQiLB7BTVlsmH/B7PP/8EPvrRD+MzxwQsGFLYnnEGFkd6YTfXsX0AwJixhJUDWxCplx0omBxnIhlZANS1ARhEiTqIjRtnYL+jl2B933rUjvoWAF5fX3hRCJ+Y+59YuakBn7r7xzjw/+3P8nPxJSFY7z6HNR1RnPnjyfjgRxMsPwdOrsMh41cgmxpA96aNGLEP777GHxyGtV83YBPsrgxCI2IsPxdfHEFX183YsKEO55//RXzoQyNYfvbbrw5TpixHNrsFAwOrUVd3KMvPxPEGxn8sjbXpLNalsxgbjbD8mKaB/SaYeDu6BUbtAIASRWR2Yj+40MA0fAMr3uzGgd/4HyQ/9x8sPwBw4MQY1oWfgdOwGkAJ9frO2vMD4DOrr8MbD7+Bj5x1LD4843R2eyZNjiC1fiOiDn9tHm5WkeADAGKNGeTi/Rg1lnl+iFXQda/8Efjkd1huoparxswITsc1EwmMCW/A2HAnG3gAQDji6o9zwkPLRjcPgLqWY9QI/qFlRsTC2PoMxtZnsO8YQql0up1ZVKld02nZqbTjx4eQSr2A5uYmkZ+REXfcdGRlh401quPIO/uFJ17WjgY2AOgtUailXDdhd8PoyfBPyQWAfUalMKp/Gfap7RT5GTuWUBPuRHMDv38Mw0Bt0whsXbcG/Z2dbPBhmAZCTTHkNg0gtzXFBh+GYWD8eBPx+CokElsA8MAHAESjLchmtyCT2cT2AQBjo2EffEisKeECl639skPUkvsnkOz/G5DgAw8AGFPjqnDX968X+Rl/QBQ1icVocgbJTS/Dmsa4ALpzQ7/Iz3Cyist28cwy3c3MdmQnpwIAXglQSGA7i1jupEvb/M3RO8KZ0mmQ4Pj4kDoxNZeWgY+w2vCzgg3fUG0BAEcAhmIxd6FPpWQMQTjUCADIZreK/IyKuKBhU0YKPtxxIwYfsQb3d1p2kqd3HLkUfFi1LiNkd8vaE6tx+zndJ+ufqCpDm+qXnVBqqhNKHWF7GlT+e7ewf8JhF0RLx/OYqHtfUvAxolbTCbc1Kg2tr0PkxgcffTLwERrhFv7IbZGdkFyrAGtfp+wlajhZxYMPhzQ4c/gbicd8SMCHkcjTys7AANuPBz6yGRkgCynwkcsI7sk08qfbCsCQNvARbgQA5HJdIj8j1Km0W3QxHwPCxdoDHynZZlYXcUFDb5bPdgGAWe/6cXpkfqIJl2FKC8FZrMZldNJ9wvtSz8sZkD33eNwNEQ8I5jmQBx+ZrGxT3EcX+EjoAh8j3d99MkZHF/iwRrjslC0EH4l6t3/6u4X9M4ysYsGHwh6wdaAPmz/xdIRdjHAYCLmLrdPPp+VCXthFcFw7AITC7kSRgA8gz36QBuYjm83Ctvl+QiH3zT6XlW3SI8Luc9oq7OPGuKawS1TFkIXMR21ET9jFZz56ZO2JKuYj1Sfb7KMJl/mQgw9vfsqelwc+pGA6EnY3RTnz4c71DdKwS40m8FE72v0tZT4SmpiPZrefc1sCFF4qYoXgg7S8MQ+9VTD48JgPDQ/S4U88HWEXwzBcAAKAsvy2hKPDJ+wCAIZqjyTsEi2ocCbRfViWu+jbjmzRbwq597RVyHw0+WEXXcyHjNGpC7ugQQo+9DEfCnxImQ91gl5KF/gQgiEPTOtiPqTgo0GN5x4BsAeA5ho9mo982EWmYRqVcP1sGpAxKJYKu9ib9TAfjk1I98vG0HCxigUffthFg+QDNn8weOAj48gmnaGYDwn40B52EYIPMyIPu1iWBctS9yXoG9N0F33Hkd1Tk8d8CLQ5AFAfd/10p4QLkS7wEdEDPjzmwxEyHzE/7CJkPmp0gQ+9YRdxGDGiwEdGBj5qLHeO9uVka4bHfGzu1QU+ZKDBG8992T44xL83j/mwOztFejwrZPo6pr7uvUP3UbHgY7gwH17YJZWTLSYe+IBIcKon2yUcUczHMAi7AEBI9U1OMvktF3zY9gBIMGa8xXrAlo27qNKOpIThG11hF13gw2M+bCnzoUtw6oddhIJTTWEXfRomPZoPH3zYMvChn/nocGt7Mc0bzwRCX5b/7K3GRve4ZSLYnZ1sPwCQaFChl669Q/dRueBD3bmtA3wcOYN9acgMqXYINxFFf0rQddjLdpFu9r7gVMjm+GEXIROjAXyYplcLxgGRILSlGLesW+CP7ScW0gQ+NAlOfc1HVsh81OlhPqKamA9tYRel0XGk7RlmYRcPfPQKwy5NvuBUqGHywEcuBaT5YzFqRRE23WcmAdRGKARLZShJM172NtFpxYIPy2M+JOKdAz/n/m4cx3YRMhT4cGST1wgpzUdOEKIIe4JT4Wb//9t78zgpivN//N3dc+69C3vBwnKIHAHlWkFBUWNEBTUeMSoSMZiYBFQ0/jxiFBMVUYz6ySeCRgjRaDzi8fkpaqIIIgqKIgSU+15gF/aeveeq7x9d3bPLzizT/dSsg1vv12tfu3TPPDxVXV31rucqFw84pcZ8GJYPYgyKSMsHAIRC9nedbjXyyvkJ5MPrMsgH0W/oSTLLR7quT8hHk+MxA06plg8j2yU5LB/iAk4N8lFLkpPKXZpNVMtHWsTyQZqTXSkAJ8LUoFNhrsQePO5DFPmQlo8TG6qQVFueMkNYRDSVWxsYbUdkxnwECXENGu8ToktAlNtFFex2ocR8KIoTisItMWH7u06nEimWFiAMPg8nisLcLoICThv8NAuBZgac0iZ8YZYPQam2WmryWj5EuBEbiOTDSB0PhRnqqXFMgtJtRZEPB0+3DVo5ajwKvOk6+Wiul+TjhIYR80FKtTUXEgL54Asa3fJBj/nQ+ERCJR8Otz5BUi0f4GSIESc2EZYPRVHMoFOK5cOlRsgHxfIhzO3i4scC+GmVE4VZPsxUWzGWD2qdD7PIGNntwi0fzQHSYt/W8kGRY5APxgIIhey3LYvHHvmCIZIL2+3QkObW+6iqkThvCMp4yXJnAQDqWmnE3LR8EDNevOn6mJbk4wSHJiTglG75EBXzEbF8EOIaDMsHMXLddLtQA04dPNslSCRDAsgHEMl4CREsH5qiGJyKZPkw3S7BMGkRgpPHsgSbSeNYWMyHaMtHY5AWW5Mqxu2icPKBsJi6NeFwGH5CTJWmec04JkrcR7Yx74BeOC9HVNCpWbWXNoayPTpBq2qhWSxMy0eNILdLPTEuJknQfckH34EGvyeWDzhFkA9Blg9OPsjZLsYqnQSWDwDQNL2SbDhEsxK4+LhpIeR5G5aPUJghQHleDh7LwsKkYnlGefUGfwMpNVFNF2P5MLJdwmGGACFmyM0DTgOtLQhRLGfOyFTLCHE6LpcLKo8bEhX34SeQD4eqmLVrqolWuEihMeLi6uQVnwO09zTHo5OGmhZaUK5mpNuSLR/S7fK9gFuIz1xczAfZ8iGgyJhp+QjTMjGcgrJdkGSWD7PQWIjmb/ca6bYE8uFus5i1EIKMTcsHoFs/bMI4WI6BoYkw6RvZLqylBYwwfhxO1Xw9SeSjzdEFrYTzXRRFARzcjUiwLCqKIjzdNuCnLYpG1d4q4nlFPUzyQXS7GOSD6ErMduv9U9NKIx+m5YNY5VSSj+8JHGpyxHyY2S5E8qHyIE/KhG2QD4CWBeRwiikypgiK+XBxSwzFTA1ELB8houXDzBAgLEJuh2oOvxZKQK7mQmSVJmTxCEpNVNMix6mHGginIisKNE5eQwRLg6pqcHn1595C0AcAFCMdnpihJCro1OHkKaBBWqZTD35SM9XtIizd1iDUAVr/GG6X6hYaORNV5dSI+Wiq99NcrUmCbks+FD7h0p6hvWPe28K0fFADTrm1gREW/Hbkg2DKF1bnQzOLsZDkiCMfYiwfIgozKYqCVD7pN1LIh6JEXC8Ey4eiKGbQqc9vfzFTNA0qD/Kkxn04uHUoRIxh8nJrTDOx9oji5HMOkXyISreNkGnaeO5hWD6I5KNtui0JRhA1oTgYIM7tIux8F275CAcZ/C1EN30SoNuSD9NjQrBamKC4XRRBqbZ8wQ+Tzi+JDAcS+RAecJoslg99UguFaJNamqDCTBkefdKvb6HuFDn5IFg+AIEn2xpxH8Rj41XD8kF026VkZgEAmupoi5DiNAoBJoflQxMQQA1ETmqmkg/D8kEusS7I8mGQD2GWj2oiiXFp5vlb3wfXS7clH6bDhJTsIiDgVJDlQ+WnS7JWQW4Xwq5cVMBpJNX2+2b50J85tSR1ukc3w/qI54XA0SbjhaKPoMPljIqQoToa+dB4jAXV8hEhH7SUS8Uh1vJBJR8qH89hQuo4ELF80LNd9PGcNDEf3O0iyvIRrq9HmDgHuXjWlJ/6zicBui/5MC0fAkBJtRUU86GYMR+E03FVBYoRCxP47gNOk8/yYZipaZYPUedhGIfLCbN8BGmTvgi3C9CWfNSS5Dj4jpwS8wG0JR80fUzLB1GfVO6WaiSm/5rnFZEtH2ICTvPSdX2OUA9OM2vX0Eiw6XZppRViUzMyAB70Tq1y6vLoY0i6XU5gGEXGSIE7Cu8+QmqhWeE0/N27XQDAKeBwOQcnQqFAAIyQ0WGm2iYJ+XA49MU1GKRNaqkOMVUhMwzLB5V8GDEfRDN1D69uXq5qpvm2I+SDWNxJlOUjIwsA0OSrJckxC40RAyrTeFBuAzEAVlMFWT5cYmI+irJ1fQ7W0CwWSC/Uf9cdIokxyEcwHCTVr1EUBQ5eaCx4lFb4TFo+vgdQ6LGiPFMApPoImqIhUJ2Po5t+gIMH7auiCHC7AEC934sdh7Kwf5/9Cdsorw7QrB/mwXLEs11cLhd8vgxs2JBF6mOHIwMVFQX47LNckpwsnvVQS5ysM7xOBH0erPvMQdJHFPnI9eqVJSuaaWdqaFlZKA/k45N1qaR2ich2AXTLR21TD3z+VQZNn0w3ynwurPwYJDnp6enw+TKwbl0KSY6qpaCiogBr1hSQ5PRwOhCqcGLXWhdJTq8snXz4WoJoaCW8G9nF+u+affZlAHBpLqQ6dStKdTPRYtFHP//Lv38/SU59qz4/H9hPPNMpCdB9yYeIbBeHGwd9vbDyyzzbL93b/8zF9t/+B+semI/iYmDJEntyVLcb5YF8rN6Sb1uXJUuAO54pwZ+XjcboM1Jt62LEfAC0uA/V60CZz4XVmzykSW3Zsnw89dQczJt3HqmPX399NKZd+wluuOEXJDnZfLL+76c00rDn01wceuZcPHFbL5I+SMnRx/EqjaSPUeWUUucDAF7ZPgHn7fkIl/3PpaR2edJcqGlwY+VKRmrX+6sH4+FlS/H7RdNI+ry0tgfGP3MaLr4jnyTn/fcL8dRTczB//mTieB6Fadd+ghkzfk6S89krHlReMwwbftOXJCfFpcHFXZK1lIyX7H76eP52KA7upme8BKrz8Z/lraQx5OrfHwDg37vPtowlS4CZDwzDn5eNxg8vz7P/vicLmGDMmzePjR07lqWlpbHc3Fx26aWXsm3btsX9/bq6OgaA1dXViVatHa5b/DkrvmsZe/PrUtsyFs/+J1OVIAMYU1XGFi+29v3SUsZUNcx0CqT/aJp+3SqenLaCqaDqwoTowhhjT027jD1+1RRWd/SIPQGMsWcWNDNVCdtuE2O6/orSvo9V1Xq7RD6rGQt8DCLaJUgf6jg28MK3L7DBT/yQ/fTJZ2yPG1HPizHG7vxlGVNA72cRz13KiQ8j7viE5V+9ln30pc+eAKY/Z3M8K2G2YIFtUWzinKUMAt6No08/zbYMHsIO//73tr4ven5OFKys38LJx+TJk9nSpUvZN998wzZu3MimTJnC+vbtyxoaGuL6fleRj7Nnb2VpI/eye546auv7IibJFSvaDybjZ+XKE1cXAzedN5+N7vshu+fOalsviKhF6NVXo7frtdesyUmmZ5WM+jDG2K8e+pJBCTGAMUWxN1GLel7J1s9SzvGxeDEzSTkQZjffbF1GtEUaYOyxx+zJwjFjSFHsvRvVr7zKXu17Jbt19DK2cKG4cXjdddZ1SSS+U/JxLI4ePcoAsFWrVsX1+a4gH2ecoQ9uY5CPHWtdhohJct26tnpEftat63pd3nknuowhQ6zpwtix/av/WF2IRC1CCxdGl7NokTU5ev90fFbvvGNNjqh2JdPYYYxP1FH0sTrJinpeiW6X1cUs1vO66CLr+hxLqkTqc+65duR0/LEqJxZpsDr/xFqk7YzFWGPoppusyWGMsWvPP0SaE2P1D8DYlCnW9UkUrKzfCY/5qOMR6zm8vv2xaG1thc/na/eTSCxbBqxZA0QqfSj46ivg5putydm1y9r1aPjww7Z6RLB8uTVd1q+3dj0aduyIfn3bNr3P4kXH/tVx443Wguxi6X7rrfHLAICamujXn33Wmhz9mXR8VnfeaU1OrPExb541ObHGzi9/aU1OrH5+4AFrcl54Ibo+Z5xhTY6o5xWrn3/7W2tyysqiX7/zTmvjee9eIFr/vPce8OWX1vRhLPo4FKHPihXAvffGLydWwo1VOTt3AtES47ZtA849N345gwbFTia48sr45QBAVYykrWeftdbXX34J/PODQlDmxKIi4Be/iH7v3Xet9XWyIKHkgzGG22+/HRMnTsTw4cOjfuaRRx5BZmam+dOHRwUnCq+9Fv36X/5ibUDt3h39+p498cvQF5COeP75+GUAwKZN0a9v3hy/jDPPjH3Pij7vvRf73j/+Eb+cWJN+WZk1MhQrs23jRmuTfixs3WpNjih9tm0TIydWP2/ZIkaf0lJrzytWxXCr7Yolx6o+q1cDsY5RuPvu+OV0ht/9Lv7P6vpEh9XFNRbmzYt/LuxssRclZ+XK+J99UREwZUr0e198YW0M8ezYqLDy7DsbQ1aeWWckzEpfJwsSSj5mz56NTZs24eWXX475mXvuuQd1dXXmT2lpaSJVwpAhse9ZsVrEqu9jpe4Pr5LcAdu3WxtI/EDbuK9HQ0mJ/uJGg5WDci+6KPa9r7+OX85VV8W+9/rr8csZPDj2vXffjV/OtGmx73UyvBOmT2f9Y0WfzuSI0sfK87r44tj3rLSrMzlWrEydkfKXXor/Pe3MArR8efxyOtPHyuJ6PIvU2rXxySkqAq69Nvb9eIleUREwe3bs+1bG4v33x75nZQx11kdWnn2yPbNkQcLIx80334y3334bK1euRFGsVQ2A2+1GRkZGu59E4mc/i32PFw6MCwUF1q5Hw6xZse9ZGUgDBli7HgtXXEGXM3Uq0KtX9HsDB4qRY6WPO1uE3O7Y945FSQlw0knR71k5/0yUPlOnAnl5dH2mTgX69hWjj4jnVVICDB0a/+c7kzNqVPR7a9fGv3CUlADjxsW+H++Gpaioc9N4vO97SUnsnT0AfPZZ/PosWBD7fiyXQzTMnx/7Xnl5/HL+/OfYY8jquypiDH2fn1kyQDj5YIxh9uzZePPNN7FixQr05/nNyYKiIuCOO6Lfs2K10HfCrMP1a66JX8bUqcDJJ8f/+c516QgruoiU8+ST0a+PGdP1coqKgJtuin4vFpmIhdtvTy59YsVlWO3nWBOaVX1EPfdYbj6r4/Dtt2Pfs2LljGW5UVVrffTQQ8D48fF/PhaWLTN2wR3nnwkT4pdzxx2x3/nOXA7HorNFurNFNxpijSGrY1HUGPq+PrOkgOho11//+tcsMzOTffzxx6ysrMz8aWpqiuv7XZHtEi2Fyk7O9PXTA6xt1sz119vUBfR0ruuvZ2RdRMnRI/IZuU0i5RwbIS5Kjp0o+mTUJ5meF2PixvOCBR3fLzvv+uLF7eUoSth23RAR7ztjeqaMmPlHzDO78srkmTsYizKGfhayLoR9v5+ZaHynqbbQqV2Hn6VLl8b1/a6q83HT76vMmgSaZrN4TCjI1t04iT05+S62blWNbV3ueHSrkEI2H9z1Brsr92G2bMbTtnVhjLGFf9jDLj99O/v7k4dsy1i8mDEFRs0HexO1IccsNEaUoyhi9AEv5qYoIZoc3i5FpeoTmcxo/Rzi/RwU0s8gyGGMsU+WfsPuyn2YvX7abPtCGGPzHg6axcY0zX4fHTgQZjPOepxdN34e27SO9m6ooI9pxhh79NEVbPLk99mzz35N00c13g3aM1v4QT1L+81BNupve4j6GGM6xBY9a480MMbYus+D7MnJv2PrbpzEWM1+kk7GHE157xmLzNPvXPMESR9jXlQI771oWFm/HQmwpIgWmRBMvrwJy6o2YGhqIZbeOixmsGWnUDWUFG1CSe8NwMhbAWTZ0uWqn9XjHedk9Ggch1dnPGxPFwCjh/hQlPMPZORYtHUeg+FDAggfPojB/Ypty5g5E3CVLcaaj/biousm4uKZ9nSaORM4rXUPtn3aiBGX52LIlYW25YRC/8aaNUdx6aU/wGWXldiW06/fw9j4322YMGEqxo/rJNruOHK2Dj6Cv33ZgOljUzHzTPvtKkvfh7/8XzkuPSsTM2cOsy1n8qDV2PW3x3DSyS4UzXzLtpyCUZsx+7Wn0H9gCDNnvmBLDgCMv6AHes7/B9DoAAsGoTjsTVf3/E6DumstDle68cs/DMUPRnltyenTR8FZo3ei+vBBZHguBBAjQOE4mDkTGFOxDTs3BTDy+l4YNLmnLTkAMHYsQ1PT5+jVayyAGEEucegztmQNli9fiMEnp2Dq1MW29Tn3DAdSHRVo4ucX2dXn/POBs+5bh0BKPc655DQA6bZklYzTUHLJCuDoFuDIt0BWjACnOHT6tuf/4K21mzHznEmYOXmGLTkAcPqFPVD0f/+Au/4kALfZ1ue0U5qw+MHtKCoIYObMTgKTkhTd9mwXTVXhyGhBj0F1thd7XRA/xyRs/3C5VGcqnDlH4Bn8OUkXlafPhFtpp1QaR5EH/bTDi3oXMZyUtxnZqbRIqKLCME7vW4fCTNqheX37qujXbx/S0mpp+vQJY+TIL5DbM0aeapw4uViFa2QDWnJoJxEPHuCAp281mpy003aLBqTh7H6fosi7kyTnlJNykDb0K9R7t5I2I47cXD3/MhhEKFYBkDhRWMhwcq9a9CCOobQc3bHeWEM7aKzvQA2n961Dnko7e8QI0KfWR+pXnIaRI79Adk6Mgj9xopdbT7GrDYbQGLJ/IGSfPgpOKQnAkdGC3RW003tROFL/XW6h9kAUDBuQgbShX6EphdZHbh7o17p3Hxjh4M2Th7txcq9apKiN8LeceKfcdlvy4VT1vGvCie86BJxsm+bUD+RqDNAmIoWTD9ZMJB8ufVgEArTTZN0pevpQi5VI3igwTrdlfqI+PGS+tZW22DscmQCAQJA24WfynbwvSGtXXob+3Cvqae2CR28XWmhH2eem6KfbtoRa4PPb7yNF06BlZQEAgkTy4U3TF8XmejHko76aRqideSkAgGAV7SThzEz9mRnFHO3C5dLb5fdXkQhjukNDOj8crqzV/pwIAMU5eh8drKEdVIgsXjuq3kLqTRT0TusNADjUcIgkx1FQADU9HQgG0apXe7MFt9cBbzone0eIffQdoNuSD5WTjyCVfWi8mEbI/qTmdehm4OYgbSISZvlwGZYPMeSjtZG2c1FdyUU+nJx8BMnkQ29XHZF8ZHn1MVhP3f0Y5KPVB4Tt6+RxeJDp1mUdbYpRVS1OaNnZAIBQNZF8pOubhOYG2oJokI8GIvlQORkKN9L0EWX5MMhHONyCUIi2kBW69b4+3EJrW06qLqea2EdI4znpDUdIYgzycbCBVs1LURS4ef0C/779JFk5vfQ5tvowbYP3XaDbkg8HJx8haoiKafmwTz4cqr4DDrMwwsw+GVL44spaiIsrt3xQ3S5uXjjF30ybzBSTfBD1EWb50Cf8YJC228zk7i2q5SPdwy0ozcRJ2tOmxk4rbTHL8ejHKdS21pLkmOSjlkY+PHyxb0kW8pHKyUcTjTAa5KO5uRl+gglf01KgqvomKBCgta23R2/boVaalakHJx81jTQ5SOOFZgRZPiqaKuAnzPcATIteuJ72nmX00J9ZQw3R6vkdoNuSD82wfISolg8eBEdwu2hqJDgrRNhxGpYPlmSWD1Ful3CrGMsHZZIGAKdTn/ADATGWj1qieyvDsHy0BhEKE9i0ww1wKxxaaG3zaPpYbAkSx2IOJx/J4nbJ1klVQw1tgdZSxVg+PB4PXC59kRZl/fD7aW0r5HEfVLdLTprerioy+cjXfzfQrHA5nhx4HV4wMBxuOEySpXLSGKqnWYVTMvQ+avIR++g7QLcnH6TJGhBj+VAiUfxBZn8npLi524Vo+YiQDxox0xz6JBSyUp89CpLN7RKxfBB3LY6I5YPkZ/dExk+DKNcLMe7D4+DkI0QjH1qWTj6C1bQAT8PtQrV8eNL0rIvWJpo1T03h1k4i+VAUBancwthE1EkU+eglyu2SYrhdiLv6dIN8lOvZuzahKIqwuA8tXY/zo1o+UjL1Oa2pTlo+Thho/BSjMDU1WKDbBQCCYfuLh+rllo9Yp2rFq4/pdqEt9hoPqAyHaAuiknTkw4j5ILpdOPnwM4YWAgl2OzR4nPoz8xEnfGHkQ5DlQ+OnYYdqamn6GJYPIvlwOPX3PRSg7TQNtwsLhBEmjmsnP8QpQCT5LicnH0S3Sy/udjlMdLsYMR81TcQxncpjPkJ+oKWWJEoU+VA5iZWWj24I0+1CtnwYAacEt4sixu1iWj6oiytfyIIBmuVD1QzyQZtcFbeujyi3Czng1Ckm4DRNU80XkBr3kcEn/Dpy3IcY8uF26H1NtnxkZwEAQkTLhydVEPngLo4g0XWnuDVA4xsg4uIqinw4ueUjQLZ8GOSDpk8Pw+3SQNzVOz2AJ0v/u15M0CmZfJiWD1p6fEqm3keNknycOHBoRszHd2/5UJXIY6C4XVQPDzhtpmXNiIr5UPnOPlksH4ZvnG750Hct4bAfIcLiqihKJO6DSj5EZ7wQd4heTY8dIcd89NALcAUrK0lyDMtHK3GhF0Y+FCUSdNpIe2bGuCZbPgS5XQo4+Sinxnyk6vOZryWIADU2L50HnRIzXrLcWboYP81iofEU6VBtLUlOaqa0fJxwcGn6pE8e1ALqfCiKYrpeKG4Xs85HIABGsDYY5CNAjfnglo8QcWFVBdf5CAaDCBH6R9PSYLw65HRbnvFSFyBmPRgZL8LcLrR2pbr0OATqJO0s0P31ASvHo0aBJ4WTD+JCrznFkA8A0FLEBJ0alg9qILUot0s6n1ubiHNrptcJ7h1HTRM16FRMum2KU6890hSkxdc4+ClwomKZgq2hE67QWLclH06HPqrp5IPudgEiQaekmI82504zwu5eVMyHyiehcJAYVOcysl3EpNoCNOuHoihm0GlAUNyHKMtHHdU/bqTbEt0uGS5ef4JQZAwAND5JU3eI7lT9/WptCoARXK2G5SMcCiJMcJECgMp1Sha3iyjLRwovMuZnjOTW1lQF2WbQaXKk2xo1mZoCYshHqIrW1y6PA06+OWuqO7GsH92WfCjQyQf5KBoBbhcAQi0fAC3uw9km24WShWEEnFKsDECEfCAYBiO4yTRNMydqetwHz3gJ0BbpLN5HVPJhFBpLlpgPUeRD4Ys9pQw1ELF8MAbSDtHpihDYkJ+YxcXdLiFiHIrhdiGnkAuK+fCqkWWlhVjEMVJo7Ptl+TBIdbCKVlEWOHGDTrsv+eDmPPIxeILIh4vL8Yfty1E0DeCLqwjLBwszhAmLvSoo28VwuwAAo5Z859aPFmJGkMuVx+XQ8v2zTLcLkXzwHWJtM3ECEkU+3Jx8EIuVKdzNwYi7es2pmuO6heB6cbhcJqlu8tH6KFJojNa2lBS+IFJTbU23C80V4FaNrR3d9SKMfAiK+UhxiHW7sJYWhBtpssyg0xMs3bb7kg/+m3wKryC3i0k+iCRGNauc2l9cjZgPgOZ6MbNdiLt6aArAs5MYMePFw61DVPLhduvkIxCsJclJ5SZqyiFcgO4fB5LH8pHp0uXQLR/G+xUixTEBkYwXStCpoqrIyNMXstojtIMFVUExH0adj4YGWnyN4XYJBKrBKJWWFQVePq6biZaPnmbGi6hCY4IsH0S3i5qSApWTxlBlBU2nDF7rQ1o+TgwIs3yo9LNdAMCt8eqbRDlGiXWK20XVFChGKjIh6NSM+aBmuyhKm7iP5Ei3VXh6NGM0fRx8IAaJA9EgH7XkmA/Blg8q+eCWD4DuenHzxb6FuNin89ojTXW1JDkaDxYMEReNtDR+MCWxkrDTqRd0YyyEQKCWJMtwvVAtHz14xkslNd2Wj0e0EutqOMSQDwDQcnkmFzHuIy1L76MTrcR6tyUfEB7zQYwh4CSmlShHhOVDUZQ2tT4IWSFGzEcwSLYwmRkvSUc+aMTKaZIPWv8YVU7FpdoKivkgul1Uw/IBuuvFYwSdEjNePGn8PBVijQZHjm6FC1bTrHCG5YNKPlTVCadTJ1atrTQLgZeXMmgmko+eaQb5IO7qnfzYgACtDEG2Rydo1S3V5DnNTCOvoKWRp/fUx1F9Ja1tXY1uTD4EwUFPtQUEWj48ggqNcf94gJBh4myTXRL0Exd7j2H5IMaP8B0ZdeJQFB5bQ8x4MA44DBD1cTk4WaSe0mwUYxJEPur8NDlGDBMgwPKRKsby4eGWhpYGYiYPDxQMExdWUW4XAPB4egEAWlppsUw5fONRRUwhNwqNkS0fBvkgnhye680FoBfPqw8QyWdPMTVsMnrqbauT5OPEgOl2Icd88AU2SHs5TPJBCDgFAMUoNEbN5uA76QAlM8DjhaIaQX60iVGU5cMgH2HiIi3K8uEQZPlwch97gOq/Eex2aQ21kqx5iqJAMYKoieQjLVt/N2qP0Ezm3nS9j5qJ53IonDAy4jNre7YLNbPM7dbjWaiWj3xeaOyIn/Z+RCwfgsgH0fLhcXhMYl3RRIvVMMlHFY18eNPF1LDpanRf8sF/k2M+HGKyXZyaILeLSwz5cHFLg5+w2CuKAneqvktspZ5sy8lQuCVZyIeujzC3C7HMv2lBoVo+UvWdHVrrSAQk3Zlu1q6paaGdSGta84hBwjmF+iLtq6LJScnMAgA0EWuPgLs2GfEYg9TUVCh8HFFdLw5N76MwsSy+qCqnwgJOeaAolXwAQF6KHmx+tIl2Sq7Wk9f6IFo+XG79PfMTrcJdje5LPkRFnBoxH4IsHwGi+8bcJQaJJZv5Yu9vJvrH+a5MWj6ig7vGyW4Xw/JBPi7AmwV4db8/6uyfX6EoCnI8upyqZlpAnYMHeFLN00YWV4iY1pyalQUAaKwjkipu+UCYkerXqKpqBp3WE+NQVH4gYChMW6TzXWLIR266Pi8e8bXQTiDnpyyLIB+G66WimWj5yNXlBMppViYn3ygGiBuzrkb3JR/8N73OhxsHfb2wckNfHDxoX4y/Og8NW0tw+BDtkZjkg1rt0BjQxMW+Mdgbu46OwL49RHeSuUtMDvKhmpYP4omkioJQhRN7P3eRxo9xVhG5Yi8Q2SUSz2Xp4e2BQHU+PlwRpLUtLw/lgXysWB6myRF0YGJqph50SM12McY0ALAgTaf09HT4fBlYvjxE6iNV5VamEG2RNi0fxEJsRdkp8DhVtAbD2FdFsOo4vfo8vXs8Du6nbRhyU3IRqM7HJx9rpL529+8PAGjdvYukj1HhNBxiCBHHUVei+5IPQTEfS/49CsVPfYNz77sFxcXAkiU2ZCwBllx9H/Y9+jfMPvcS/P739vWJ+MepB2hFqpzaxZIlwJxF9+OZjx/BWVNH4vHH7etjptoSz5upqUnF3r39UF7uIMlRFA0VFQVYu7aINAF9+ZoXlVcPw+sz8m2PH0C3fLQezsTuFb3w5Zf29QEA8BNpqa7Eox9Pxfbf/ge3/fRUUtv+VXExztvzES65dzxJjsYX+xCRfKRkZeFA1Ul457MJpL5WHCrKfC6s2Z+J0v0RnQ4eBFauhKVxtX79SDz11BzMmNGX1kf8QMBQmEY8810OhCqc2PKZg/R+aKqCfj1062lptf1YnSUvpunz9AvLUDxAs90/ALDng3Ow/bf/wZ9unELqa9fAgQCA4OEykkvR5dFQ0+DGjkNZ2Lv7BLJ+sCRDXV0dA8Dq6uoS+v/sr2xkxXctY0Pve9+2jNJSxhSEmZ6wq/8oin7digxVZe1kAIxdeaU9nQ7MmsW2DB7Cql9+xZ4AjuVLv2V/uekjtv7f+2x9P1a7HnvMnj41y3az0rs+YTXv7rEngDG2eDFjihLmzynM7r3Xtij2yCMfMEUJMUBv5+LF1mWUlkb0MX5U1dr4MTDlimaGNmPx+uutyzDx9HjG5mYwtnulbRGlpYwpaqhd2zTNetuivWN2++jA1ir24LRP2b0zttj6voHrpvnb9HXYdl8vXsyYyp+/qobZ4sX8msosjSuR42jPnj+zvzx9KbvzrmVs3Trr3zfw0NN+hjbv2oIF9mX99Nk1rPiuZeztjYdsfV+fi8LksWjIUgTJCofDbMvwEWzL4CHMf/iwdQEcx85rlL6mwsr63W3Jx4GqRpZ19mbm6V3F/vQnezIWLuy4uAKMLVoUv4wVK6LLAJitl3/dzLlsZvYz7OwfHGRLl1r/voGVL21jl43fxkYMabLVP521y86LWvufvey+s3eyksH29BFJ8kpLWbuF3g7pZIyxV1+N3j+vvWZNzrp1HfWxO34YY6x0/pXszjMeZz8646jtMRTr+a9caU2OqD5ijLHH5zWaREZRmC3yqfc1/V3VCQPrMIaOJRHxLGwi++iKK7a3G0tTpliXEY0MUTYev3j+S5Zzwdds1MQGW+Mx1li87jpxsu64w7osxhj7pORydmuPx9m1F1ezd96x/v1Y8xplY0WBJB9xIKdHqN1LlptrXcZ990UfiHPnxi8j2iRk/Dz5pDV9Fi/uuAgNHGhNhoHMDD+pfzpr17x51vXpmRlop09GhrXviyR5IkhnZ3LGjbMmJ9Y4LCy0Joex6GOooMC6nGgEzQ7xjNVH06aJ0cfq4vqnP0XXx+r7EYsw2CFssWRZXVxjkdgxY8S1zc7GIzO/vVUvJ0eMdRlg7NxzrekSq4/stC3au9a3rzU5nc1rN99sTR8RsLJ+d8uYjyeeAKqrFETCToGKCv26FQwYACBKyGq/fvHLKCoCZsyILocH1ceFgweBX/wCaNsmANi9G/j73+OXA+j9UOdzgNI/RUXAqFHR773+unV9Kuu0dvr4fNb6edCg2PfOOceaPp98Ev36zTdbk1NTE/36F1/AUixBm8OM26GszJpOscZQeTlw0knxywGA5cujXz/1VGtyYvXRSy9Zi4l45x3g2HYBwLvvAvfeG7+cM8+Mfr2iAhg6NH45sdF+HtC04/e9fkRIx/njxReBBQvi/59fegmI1kfr14tqG3DGGdY+//e/A3VH3GirV3U10KdP/LEWRUXANddEv7diBTBlSvz66HXcOvYRAFxySfxyYr1rBw5Ya9ugQZH4xWPxv/8LTJ0av05djW5JPvTFuOMTe/55a3L+/e/ocj74wJocvbR/RzlvvRW/jJ07db4bDVYDPRcujK7P/PnW5MQiB19/bW3hiPW89u8Hli2LT0ZREcCDyzugsdEaQYtV6yoYBK66Kn45ncWY/eQn8cvpbHH6y1/i7+vOxtDu3fH3NWCM3Y7PrLoauOGG+OV01keTJ8cvp6yTM+DmzYu/j0pKjE1HR2zbFn8fxV6EFRhEQtOAZ5/Vx25n2LHD+F5H3HmntXctFrZti5/IdkYwSkutEeJY4wgAbrwx/rbFemYA8N578ZP9zhb7DRviJ7KdvWtA/G0rKuqcPFkl112KLrDEWEJXuF0mToxupjrrLGtyTjstupzx463JGTIkupyhQ+OXoZuVo/9kZVnTZ9AgMWbTH/0othwr/uiLL44tx0rMxp13xpZj5dm/807nZvJ4+yhW/IDxE687qLNnD8TvDjqenL5945PDGGNLlyZXHx1PjhWX2cMPx5YzYED8cm64oTOdwnHHAIhq2/HkWHlu994rRs7xxlG87rfjte2UU+KTw5j+f1Lb1plb2vi56SYxbbPS31RIt8txcPLJ1q7Hwpgx0a/HcjfEwrBh0a9bMXUWFcU2adfWWtv9XHZZ7HtWdr/XXhv73i4Lqe333Rf7XpujP46LznZc2dnxy5k6FcjPj30/3raVlAATJsS+/+678ckpKuq8bfrOOD45ne2SDhyIf4c4YwaQmRn7/tq18ckR1UclJcC558a+H28fAcDPfhb73p498ffR3/4G9OgR666Cr76KT46otpWUHN/iFu/Yfugh4Ac/iH0/3nlkxgygoCD2/Xjdb8dr26ZN8T+341mA4xnbRUXAc891/plnn42/bcdzHVmZb7sK3ZJ8jB0b/XosMhELZ58d/brVGIJYL+mIEdbkdDaYrQy+zhay8vL45cyYEXtRt1L9vaQEGDcu+r2zzopfTlERMG1a9HsXXBC/HAAxFwZVtRYf8emnsRfpzibdY/HnP+u+4miwQqofeqjzheyzz+KX9c038X+2M4jqo48+AgoLo9+z0kdFRZ3HUljpo8pKgBcB7oDvom2vvRb7/bc6tnW3dHRYmUfKyoDevWPfj3du66xtQPzP7XjPP17MnKm7oXgB36iIt23LlsV+b60+ty5DF1hiLKEr3C6xzMu2ahBESZezKkdU+h5jjP3kJ7rJtq0cO3noutmUnr4pKg1U5DMTZZY8NlpdUezX+xCRGSKybWecIea5LVjQUY6ddyQZn//NNydybIcFtc26HMb0tNj2Yztsa2zHcr/YmduijUk7c5v+3Og6RWubooh6bvZqtfzudx31sfPc7EKm2saB9guH/QekFwrixaaUkG0511/fXh9Kkag7rtvLgKD5ctrV6YorQkJ0EtW2xYsjBacU4jOL6GP/mTHG2I4dh9h9981i991/CztwIGhbTjudCBOGqHHNGGMXXdAs5LnpC1mQT4b2+1t//iH+/IM0OUqkXX/9a9ieIKbHHCVibC+4YLt9OUpkbC9c2GJPIaYvfI8teIb9/r5Z7IsvXrUt59g+umJawLasWbe1MPAxoGn2x7eo5/bYY236Wwmy+5/Yb0uO/tzEkIbSUsYeuecIu+G8Tez5h7fYE2ITknzEiTmLt7L8a9aw37+4iySn9KUFbOX1F7HSF2wUsGiDR19fwfKveYSd9sgskpyGNWvYigGT2Evj7yYHGv1/l61jl5++na1abn8SY4yxeb/8C7v41GfZK88QyiYyxr55fj977Zr/sm+W7iPJ+eKLQ+z665ey++//K0lOOBxkH60YwpZ/NIA1NdE6+6oP9rPsJ3ayR9dVkuS8vOIoy79mDTv7gc9JclgwwNbdeA57cvJdbN2KoyRRM1+dy/rdNYM9vfL/J8nZ8f5m9vc+09mKAZNYsL7Btpz9+8Psth9vYA9O+5TVHm0i6fTne15hF5/6LFv8iP1qyYwxtmNlNXvtmv+ydb/+nJXe9YltOaWljP385y+w2277E6upqSHptGv3n9jyjwawLVvuJslZ+0WYpf3mIMteuI2trvaRZJ11/1qWf80a9uLyIyQ56154Tx/bv5tNklNaytikh+eywU/8kK0qXUWSs/BHz7EnCm9hm558naRT2Z5a9pebPmLP3b6KhUP2ybVVWFm/aQdcnODIzA3B07caGT0tRBtGQVFeI4r6fQrs/hTAPfblDCtDbsNLsH+CgQ7F5UKB8wj6Zmw4bpre8TCwqBHFefUYeWqMgII4MXpUEK7a99G3ZzqAEttyigrCyOxbh9TsFJI+J5+cgn799kFVVYTDYfPAOatQFA1eb180Ne1CU9NeeL32O/zUAQ6sclSjMsMNIGYk4nExepgHnr7VqKS+3poDJcOOoqT3IuCkywHk2haVV+hH2tCvkNJzEkmlgZMGIpiiRwY2f70eaVaCftqgb18FJaNaUX24FbVHm5CZ67Wt04gh9fDvfhsnFV1uWwYADBidCm/fOpIMQI9JGDKkHI2NjWi1ElwVBWmpgwEADY0WInKjYPxpCs7UGvG1rxmNxMMPRw/zYH/rIdSquQDybMspmTIYJbuvBlQnEHgMcNobA0VFwEljDqKq/Ah8fp9tfYqKgCunNqHywAfIrEgDcIVtWbl90uFwqmhtDKLmSBNyCmMEFn2H6JYBpwYih8sRBW22WDUrBvpl9hMiR3G5AADhAO1gMCByGBf1JNCsfD0arrL0AEmOwo+Ob91ZS5KTnp4OQD/dtrmZdoJnSko/AEBT8z6SnEGperWwtbUNJDlF2fokWt8SRF0T7YBBZHLSWUt7bl6HrlOdn7a4ql4v4OAnChNPbs7K1wls7REa3Xd69LYFiAu9luEifb8tXHwOoI7ttDSdfDQ27gBjtDkgjb+7DUHa4Wcn5aUBAHYdpb0nyO4PeHOAcACo3EkSleHOAAD4Wu2TDwBwDxkCAGjduo0kR3OoyOun61S2q5YkK1Ho3uSDF6+hcg9MvJWsCwD0y+gnRI6ok20BwOEQdBJoZhYAIOinTdDhZv047DBxUdU0Dak8zcDno00YKd5iAMDevX8myRmUopOPnU2t8BEm6BSXAz3T9MXnAOEkUABAFicfdaUkMalOva+3Vm+l6QMgheeys1jV3uJEVp4g8uHWTwFuqK4iyREJN9fp66+/JsnxeouhKC6EQk1oatpDkpWm6SdTNxAtHwb52Hm0niQHigJ4MvW/AzSSluHSF3oqufYY5GPXLjK5zi3WN1g15VRbemLQvckHt3yEqaaPzL7678KRJDGqoj8Ol0rbARmWD+rgBdocQx6kTRiKIDOTZ1CWIZAkBwAyMvhuhUg+NIf+krtd9t0SADA0LVIn/Ugr7dkV82PId1UQJ2jT8kEjH0Ny9En1UP0hmj5oS66J5CNft1hQyYdbr2+O/Zs3kOQAQNqZneSUWoDGF/oAcQ5QVSeysvQaBFXVq0myUgzLB5F8DGpj+QiHiXO34WoJ0shHXoru/ilvtJBDHE2doiKoqalgfj9a9+4lyXJ7dQthwE+zNCUK3Zp8qMb6RTZ9GBAjKAzay6l69Rcq3NQERlzsNac+iQWJA1jhMRUsTGublq0v0Iw4gQERQrRq1SqSnKxMfXIOsyBJjltVkcP7O0QcS8YEXVpNm1SRxYn1V0uAsP0x8IOeejGbI01HyGNSFLnu0Vvvo/I9dSRyXTRUL8gTbG1FkEiIUkbr1evUNAvV86LgLB4LUxPrcBwL8Hp0AhoK0UhaukMf2xSrHgD0zUmBS1PREgjTLXsG+SBaPoozdOvnvrp9JDmKqkLlZHbvJZeSZDlcYubuRKFbkw9j8SFbPgTt6g3LB5XDaMaJdIEAwo2NJFmeVJ09tzTSFlazr6nkg0/KrCUERrTGNOinRJkmartQFI30/bZw8H4KUTd0fJcZou4MDfIBAHs+ti0mP0VfVJuDzaSgPKBNTBNxoe9RpJOPoD+MQIv9CTqndxEcfAz5KitIOhlTAHUuyeGVq2pqashkT1X1toXDtP7u7dbf3dIWmhyHpmJEke4uWbevmiQLDjHkw4jX2+fbR9MHgBa77K0lOF08Xs9P36glAt2bfPDf5IDTGAcfWZfCF2gBlg+FWz9C1bSXM4UHwTXW0WI1TMsHddfrcZijNtxI2/mO42VTDfeLfaWM14j+kmsm+SBarFRBxLrglDZC7bsDPQ4Pcjz6gni44TBJJcPtArJLIfLeUsz3iqIgM1cnV77KoySdjI0MMbYTWXwD0traSg46VVRO+MO0/u6fopOYvU20uQQABubqbsWKeqIsJ3d1UskHj9erbqkmk+v8u+4kfd+Aw80tH63S8pF08HATd6MwsxRxYTUtMfRFjPEJp2rJ30hyUtL1BaelgTbxRGI+iLEjqgKVB1OG6mk7KEMnMiFSDGJFH0fGC0m1fBjdTbZ8pLbZham01N3CVD3j6XAjkXwIsnwoimISkDCxwzNydZ+/r+IISY7pCyY+N6fTaWZ0UV0vKo9BCzNaf/f36uRjXzOdfDi4ZS9Adb8KivlIdaYi16vHfFFdL05eH0FJoZUTcPD1TcZ8JCFcPJODHLQkKHZEaWNBoS6IBmpffZX0fTd3c5DJhxnzQW9X2KdPgs1bxGQXkMkHNC6HThodglyBoiwoAICe/HAQIrnqldYLAFDqowWvmjEfLfRFTNHEuAMzehrkg2b5UMSZY+Hx6Lv65453gtlxoCr6HBAmWj6KvfpzqwmGsL2xhSTLxclHkMrSTbcLTR9AnOvFHN9Ecu2QbpfuADFuFzPmAwATFwVLgidVn3i++YSWpSAq5qMtWvfS0tqS0fJhkIagKLeLALIHI6aFEHAKAL3T9EyOTw99SpLjyNcX+kB5GUkOAOGWjy/eeg2hIGGRFuR2AYCKClr8iYGI24W2GKZqGhx8qpy0jlbHwslJozDLx6dP0uQAGJA5AACw4Sgt68kgHwgGSQH6TrcMOE16iFvoBQWcQpzlg4rGWvruEhAX8wEAKaP0id5VlE7TSRj54IuzgBVDM9wlxG4yFlUBSUGAarSPNokZk3Mz0cTt4mbpwEF62q6qGYs9rcOzC3qZf9dSSJHhdhHwnkw53jnrcUKU2wXQT/gRgYjbhSiwh7jjXif0mgAAWH9kPUmOGdMEmvXDyHbxN9OSBRKFbk0+hFU4FSYoAmrQafZ11wEAXCcNJMnJ7UNb4A1ErAP01VBNF1MJUhT5MCwDTEDAqWpYiIhE1nS7iLA0GaSYKKuHV48fCRFJjNMkHwdJcoAI+aBaPvqPGtvmX/YtoaKyXQBg4ED93Xc6aWm7EbcLnXz090beXYpL0Ckq5mPsDfrvpkqgmRYbk+PVA6r9IWIskivSR5R08rRsNxRVQWOdH5UHidVgE4DuTT5EVThNhNuFWoxrqF7UydWbdrhL0ZDIuTcUnRRjJy6g8FnEL06VIzZLSYjbhf8WZvkQQYgFWT6M8U0NqDbJR1kZudaHIsg95XC5zCq+YYp7yqx8SFIHAMzzisiWPW75oGa7AMCS4f3NvymuRZcot4s7HUjXA6FRuYskysndUwFiP4myfKRmutH75CwAwBGiizoR6N7kQ8za0wbUwMU2AadkSmQsiIIqkwKk5rU26cWAju7dTdIHgDBLk2i3i8iAU3LMhyLQ7SIo5kPjcoLEYmyOXF5JNhxG47p1JFmiYj6AiGsxHCL0U5v0X0bUySAf1DgrVRHndiluY/kIEgifMLcLEHG9VNHOd3HwbLBgmF4TSVQV3568ls2ql3fAV0ksOCgY3Zp8GEgWt0tbywc53dY4pVUMh9FFEdpXdTByMFkoSPRBCrZ8CIv5gIBUW2F1PvTfQgJOBVk+DPJBXQzbEuLqvz9PkiUq5gMAVN5PlCBB1euAYhzmSKxOK4p8aBo/qLD+WzLBdrR5dhSCLcztAkTIx//9GgjZt1qIIh9AmyMEiJa9nF46+WBhhrf/ZyNVLaHo1uQjsoYJXKEFgR6HYAqiiRFj+MBpl15p/t1QXUmQBLNtooJy6XL4YhEknqOCyGP7so5WmVao20WQ5cMg19SYDwDwjh5tCCXJUTXDWiGAfGh0y4eiKnAW6AW0jjz1NcKETAWDfAA0ApKTcyYAFX5/JVpaaHE2znbkw74cYW4XABhwduTvBvt1Wpw8NkYI+RCUbtujd6r5d12FtHwkDUTFDkQgMNtFUMEyUa4JACQ/tDslFd4MvSRyoIWYU2+2jSpGlOUj0keBAK26oVF6up44qRpul51H6IRImOWDyxFRRC/tnLMBAI4cWilq49FVlzUiTOxzVTMsO8SA2l58wQgxNH1p/6AyUeTD6cxAetpQAMCOnQ/blgPolj3jbaFYPoS6XYZeEvk7aD+7z6mJifkABJIPbvlIRnRr8iEMCVjo6ZYPMRVFRbldgMhJm1S3i6hCTKLIh8ORZf7tq99EkvX7gXrw2/ZG2i7lvwdr+W8BgWaCsl1EWj4UTTdxsxBtLBnHja/653as+Aet9oSZ0UWJ+QDgLIwsGJS4D1HkAwBSU3XXRGXlcjQ3i7F+iHC7rN9PPNsF0F3UPFMFhEyVRLhdwq20UgeaU8XwSXp9HeMgxWRBtyYfSZft0uZxUFNtYaa2CiREJEmA6uAvFHFyFm35oMLpzIDbXQAAaG7aR5I1PE33r29toFmHdh+NuG2O+IiWJtExHwIsH4qDl3qnxg+1wfbPacehm5YPogXFOywnIpNwuq1I8pGROdL8OxSiuQRFFNIL8j6uaQrgKHV8A4CDHy5JsHw4FE6IwRCiWr94Rlfzxv+S5ABAv1N6AmiTxp0kSDJ1uhaK4NgBAfXVI5KEWT7EiAHoQXkaXzBIFSCBpAs4BYDsrPEAgFCYZrHI5yd/1gZDJL0uGRkpevXVPuKx6kkY86E4+URPPJ593KUDyLoYUDQj4JRI0jLccPXXXZSUPYhI8tG717VtZNF24zyelkQ+6lsipPO0eR/hUC0xnsE4NFGA5QOgZ3Sl//BcAMDRRx9F7ZtvkWQ5+DEioUBylVnv1uRDGERlu7R5HMkScNrOqEOtPWHuDMVYPkRZdUSQD4VPPIxocnUJCsj7xZmRRbWmiZgiWbNP/72PVhZdpOUDxkJPtHyMnlxM14XDyHYRcYSA6jXcSvZltbXskdNtVQe83n5cFvHMEa5XgPDeXTGmff2iD76lWa1EWD6MmA8ACBCyZgAg/Uc/Mv8+8jAtzkbjbC8UlOQj6ZA0bhdFnNvFqDlA9dOLdLto3O3yfUu11WXxxYJaw6JN9gZlcnY5VEw9RY8f8VMnnXpeLvzIZpIY0/JBtAwAgMLHEiNa0VRVwemX6ZVACwZk0mQJyHYxoAios6+f2ism3RYANNXNZdEsHwb5oMSK5qS6sO7eH5r/TnPTTlyGxslHiO52AehxH87CQrh4hVrP0KEkWVp3s3wsXLgQ/fv3h8fjwZgxY7B69epE/Ve2EVl8RElMxoBTgam2RLeL6jAsH/QiPLpCyWP5MEtQE8mHqw0BDRAXDOPUZr+oEtQ5tFL9RraLSLcLiG4XAMjh2SXUnaGiisl2AQCFPztG1Ekk+VAFk48AcT7JS/fgvKH5AICWALHPTcuHfauOpmpmHCHV7QIAPX/zay5Y6/yDx4Fh+Qh2B8vHq6++ijlz5uDee+/Fhg0bcOaZZ+LCCy/EgQMHjv/lLoSwTFuBZ7tEgmAFVTgVGvRBExWJ+UgOy4dImG4XquWjTXf7iePJOHacbPnI7qf/TqaAU0FuF0CcWdqwfFCKjJkwip8lSZVTXZa+QIeEWT7oL3CmVyf9jdSTWx10ywcQmW/f3fMuTR8AaqpOisMNtHNZupXl44knnsDMmTNx4403YujQoXjqqafQp08fLFq0KBH/nW2IK68ubjU0j54nVzhNQMAptY4JT48Mk8lHEsZ8GG4X6rkOiiIkFRGIWD7IhZgc/NjxAC2rQGTAKRxGTISA83Q0QeRDFRTThG5i+RDw3qXyY+ObWolzihFwSrB8tMXjXz1OlqGl6amx4UZadpHDJNdJtFsDQHSUdYTf78f69etx9913t7t+/vnnY82aNR0+39raitY2ucw+H61Ikx2889/DeODiYeiR5rYnwKxUtAf4cglQMtO2LipUhBHG/HXz8ZtTf4OTsm0e+cx1al6/HhVPP43cWbNsiomwj9Wv7sSwib1QNDi7k2/EhmH5+Obj5SjbuR2Tps80g1CtKaX/ChxsQO07u+Hqm4GUU3Oti+Ftq6qqwvvvvw8AmDBhAjIyMizLUjn5qK5Zix07HoQ3pRh9in5mWQ4AOFUFgRDDo3vKke5Q8dOCHAxPT7Esx7B8fLy9Ag2tQaS7Hbj9/ME2FOLk4+gW4H3+Xg/6EXDSD2N/JwoMy4c/5Mej6x41r88ZMwduzdq7Z8R8+A/sR/m8eQAA7/DhyLzkks6+Fl0vvtA3+fxY/doOAMDI8/oiPcdjSY4xlr9d9RHKd+ly0nvmYuzUyyzrZMR8tGyvBuOZHSmj8uAqsnbKtEE+PvnkE3i9+nN0Op0477zzLOuk8mdUXvYm6n16/E9OzkT07HmOJTkG+XjuYAXerag1r9/VvxBpDmvzQYpLf+9WbD+Kek5AhhVm4Cdj+1iSY1o+/vtP4PCGyPVxvwRy7GVEtR3juSm5+Pnwn1v6vmH5CBw9ao5xAMi48EKkjBoVtxzDssfCDKtf3WHOn6qqYMKVgyzpJBLCyUdlZSVCoRDy8/PbXc/Pz0d5eceI5EceeQR/+MMfRKsRFzI8kejk+pagffLhbrNYbXuXRD7SXGmoba3Fh/s/xI9P+rFt8qGlRyapujffsk0+AMDldcDfHMTOL48grzjdNvnwpOk67d+0Afs3bcBZ192AyDmu8UP18GI+lc1oqGxGaiBsi3x4PPriUl9fjy+++AIAMHr0aFvkw+nU+6ShYQsaGrYgK2ucbfKR7dDQFArjlXK9gNJpmWm2yEd2qr6b23yoDpsP1SE33W2PfKTyvvUdAr7g1svUHpbJR6ozFaqiIsRCeHHri+b1WSNnWSYfWpYeHBqqqETNC/8AAIQvvcQW+fDwWhqBlhA2rdALaJ18WoFl8uFO1XeqxvgGgIKTTrZFPtQUrtPBBgT4cejOonTL5MPj8aCpqQmbNkWK37ndblvkw+nU649U13yG6prPAACaI9Uy+ch26u/8uxXtC+DdUpyPNIvzQW66Pm6+OeTDN4f0jeuUEYXWyUcKr5S752P9x8CwS2yTj7Zj/OTsky2TD61HD0BRwJqazDEOAO5BgyyRD6dLg+ZUEQqEsWllpECc5lC/X+TDwLEFnBhjUYs63XPPPbj99tvNf/t8PvTpY3Hg2MRFIwpR0+RHTZPf9B3aQt5Q4NKFQPVuclDeE2c/gbWH1wIA+qTb74eUkhIUzL0fgfIj0Gwspm1x4a9G4OBWfSHM62df1sSrpyO7sLcZcKrYrHrjPaUnws1BhJt0F4eryF7lvn79+uGiiy5CfX2kBHlKivVFHgB69boKjAXN8108XvvP7pkf9MPyqogF8KQUe6T4unHFUBUFDa16Pxm7RMsongBM+RPgOxy51me8ZTGZ7kw8MekJfFv1bbvrbVMU44V35EgUPPAAAmVl5jXP0CGW5QBAZq4X590wDDVlEfN2aqark29Ex5nX/Aw5vYraBVSn5fS0pVPq+EJAU8BaIy4cZ771sXn55Zdj+/bt7a45HPbGwYD+t8Dj6Q3Wxu2SlXWaZTnzTy7C20drO+TzpajW54OrxhYhGArD1xJxd56cb42gAQDOvgfIKu4Y85HR25KYf1z4D/zvhv/Fqbmntrvew2v9GABnXh56P/kEWra2r7zrGWIt+0VzqrjwVyNQtrO23XUzo+o7gsLEVdgCoLtdUlJS8K9//QuXXRZh/Lfeeis2btyIVatWdfp9n8+HzMxM1NXV2dqBSkhISEhISHQ9rKzfwgNOXS4XxowZgw8//LDd9Q8//BBnnHGG6P9OQkJCQkJC4gRDQtwut99+O6ZPn46xY8fi9NNPx1//+lccOHAAv/rVrxLx30lISEhISEicQEgI+fjpT3+Kqqoq/PGPf0RZWRmGDx+O9957D8XF4koZS0hISEhISJyYEB7zQYWM+ZCQkJCQkDjx8J3GfEhISEhISEhIdAZJPiQkJCQkJCS6FJJ8SEhISEhISHQpJPmQkJCQkJCQ6FJI8iEhISEhISHRpZDkQ0JCQkJCQqJLIcmHhISEhISERJdCkg8JCQkJCQmJLoUkHxISEhISEhJdioSUV6fAKLjq8/mO80kJCQkJCQmJZIGxbsdTOD3pyEd9fT0AoE+fPt+xJhISEhISEhJWUV9fj8zMzE4/k3Rnu4TDYRw+fBjp6elQFOW7Vidu+Hw+9OnTB6WlpfJMmmMg+6ZzyP6JDdk3sSH7pnPI/omNRPUNYwz19fXo1asXVLXzqI6ks3yoqoqioqLvWg3byMjIkAM9BmTfdA7ZP7Eh+yY2ZN90Dtk/sZGIvjmexcOADDiVkJCQkJCQ6FJI8iEhISEhISHRpZDkQxDcbjfmzp0Lt9v9XauSdJB90zlk/8SG7JvYkH3TOWT/xEYy9E3SBZxKSEhISEhIfL8hLR8SEhISEhISXQpJPiQkJCQkJCS6FJJ8SEhISEhISHQpJPmQkJCQkJCQ6FJI8hEnampqMH36dGRmZiIzMxPTp09HbW1tp99hjOGBBx5Ar1694PV6cfbZZ+Pbb78171dXV+Pmm2/G4MGDkZKSgr59++KWW25BXV1dgltDx8KFC9G/f394PB6MGTMGq1ev7vTzq1atwpgxY+DxeDBgwAA888wzHT7zxhtvYNiwYXC73Rg2bBjeeuutRKmfUIjum+eeew5nnnkmsrOzkZ2djfPOOw/r1q1LZBMShkSMGwOvvPIKFEXBj3/8Y8Fadx0S0T+1tbWYNWsWCgsL4fF4MHToULz33nuJakLCkIi+eeqppzB48GB4vV706dMHt912G1paWhLVhITBSt+UlZXh2muvxeDBg6GqKubMmRP1cwmfj5lEXLjgggvY8OHD2Zo1a9iaNWvY8OHD2dSpUzv9zvz581l6ejp744032ObNm9lPf/pTVlhYyHw+H2OMsc2bN7PLL7+cvf3222zXrl3so48+YoMGDWJXXHFFVzTJNl555RXmdDrZc889x7Zs2cJuvfVWlpqayvbv3x/183v27GEpKSns1ltvZVu2bGHPPfccczqd7PXXXzc/s2bNGqZpGps3bx7bunUrmzdvHnM4HOzzzz/vqmYJQSL65tprr2VPP/0027BhA9u6dSu74YYbWGZmJjt48GBXNUsIEtE3Bvbt28d69+7NzjzzTHbppZcmuCWJQSL6p7W1lY0dO5ZddNFF7NNPP2X79u1jq1evZhs3buyqZglBIvrmxRdfZG63m7300kts79697D//+Q8rLCxkc+bM6apmCYHVvtm7dy+75ZZb2PPPP89GjhzJbr311g6f6Yr5WJKPOLBlyxYGoF3Hr127lgFg27Zti/qdcDjMCgoK2Pz5881rLS0tLDMzkz3zzDMx/6/XXnuNuVwuFggExDVAME477TT2q1/9qt21IUOGsLvvvjvq5++88042ZMiQdtduuukmNn78ePPfV111FbvgggvafWby5Mns6quvFqR11yARfXMsgsEgS09PZ88//zxd4S5EovomGAyyCRMmsMWLF7Prr7/+hCUfieifRYsWsQEDBjC/3y9e4S5EIvpm1qxZ7Nxzz233mdtvv51NnDhRkNZdA6t90xaTJk2KSj66Yj6Wbpc4sHbtWmRmZmLcuHHmtfHjxyMzMxNr1qyJ+p29e/eivLwc559/vnnN7XZj0qRJMb8DAHV1dcjIyIDDkXTH7gAA/H4/1q9f365dAHD++efHbNfatWs7fH7y5Mn46quvEAgEOv1MZ32VbEhU3xyLpqYmBAIB5OTkiFG8C5DIvvnjH/+I3NxczJw5U7ziXYRE9c/bb7+N008/HbNmzUJ+fj6GDx+OefPmIRQKJaYhCUCi+mbixIlYv3696cLcs2cP3nvvPUyZMiUBrUgM7PRNPOiK+Tg5V7gkQ3l5OfLy8jpcz8vLQ3l5eczvAEB+fn676/n5+di/f3/U71RVVeHBBx/ETTfdRNQ4caisrEQoFIrars76Itrng8EgKisrUVhYGPMzsWQmIxLVN8fi7rvvRu/evXHeeeeJUz7BSFTffPbZZ1iyZAk2btyYKNW7BInqnz179mDFihWYNm0a3nvvPezcuROzZs1CMBjE/fffn7D2iESi+ubqq69GRUUFJk6cCMYYgsEgfv3rX+Puu+9OWFtEw07fxIOumI+7teXjgQcegKIonf589dVXAABFUTp8nzEW9XpbHHs/1nd8Ph+mTJmCYcOGYe7cuYRWdQ3ibVdnnz/2ulWZyYpE9I2Bxx57DC+//DLefPNNeDweAdp2LUT2TX19Pa677jo899xz6Nmzp3hlvwOIHjvhcBh5eXn461//ijFjxuDqq6/Gvffei0WLFgnWPPEQ3Tcff/wxKpJd4AAABK9JREFUHn74YSxcuBBff/013nzzTSxbtgwPPvigYM0Tj0TMnYmej7u15WP27Nm4+uqrO/1Mv379sGnTJhw5cqTDvYqKig7s0EBBQQEAnUG23b0ePXq0w3fq6+txwQUXIC0tDW+99RacTqfVpnQZevbsCU3TOjDgaO0yUFBQEPXzDocDPXr06PQzsWQmIxLVNwYef/xxzJs3D8uXL8cpp5wiVvkEIxF98+2332Lfvn24+OKLzfvhcBgA4HA4sH37dgwcOFBwSxKDRI2dwsJCOJ1OaJpmfmbo0KEoLy+H3++Hy+US3BLxSFTf3HfffZg+fTpuvPFGAMCIESPQ2NiIX/7yl7j33nuhqsm/N7fTN/GgK+bj5O/dBKJnz54YMmRIpz8ejwenn3466urq2qU3fvHFF6irq8MZZ5wRVXb//v1RUFCADz/80Lzm9/uxatWqdt/x+Xw4//zz4XK58Pbbbyf9btblcmHMmDHt2gUAH374Ycy+OP300zt8/oMPPsDYsWNNohXrM7FkJiMS1TcAsGDBAjz44IP497//jbFjx4pXPsFIRN8MGTIEmzdvxsaNG82fSy65BOeccw42btyIPn36JKw9opGosTNhwgTs2rXLJGUAsGPHDhQWFp4QxANIXN80NTV1IBiapoHpiRgCW5A42OmbeNAl87Gw0NXvOS644AJ2yimnsLVr17K1a9eyESNGdEi1HTx4MHvzzTfNf8+fP59lZmayN998k23evJldc8017VJtfT4fGzduHBsxYgTbtWsXKysrM3+CwWCXts8KjNSuJUuWsC1btrA5c+aw1NRUtm/fPsYYY3fffTebPn26+Xkj7e22225jW7ZsYUuWLOmQ9vbZZ58xTdPY/Pnz2datW9n8+fNP6FRbkX3z6KOPMpfLxV5//fV2Y6S+vr7L20dBIvrmWJzI2S6J6J8DBw6wtLQ0Nnv2bLZ9+3a2bNkylpeXxx566KEubx8FieibuXPnsvT0dPbyyy+zPXv2sA8++IANHDiQXXXVVV3ePgqs9g1jjG3YsIFt2LCBjRkzhl177bVsw4YN7NtvvzXvd8V8LMlHnKiqqmLTpk1j6enpLD09nU2bNo3V1NS0+wwAtnTpUvPf4XCYzZ07lxUUFDC3283OOusstnnzZvP+ypUrGYCoP3v37u2ahtnE008/zYqLi5nL5WKjR49mq1atMu9df/31bNKkSe0+//HHH7NRo0Yxl8vF+vXrxxYtWtRB5r/+9S82ePBg5nQ62ZAhQ9gbb7yR6GYkBKL7pri4OOoYmTt3bhe0RiwSMW7a4kQmH4wlpn/WrFnDxo0bx9xuNxswYAB7+OGHk3pzEwui+yYQCLAHHniADRw4kHk8HtanTx/2m9/8psO8fiLAat9Em0+Ki4vbfSbR87HCFZGQkJCQkJCQ6BJ065gPCQkJCQkJia6HJB8SEhISEhISXQpJPiQkJCQkJCS6FJJ8SEhISEhISHQpJPmQkJCQkJCQ6FJI8iEhISEhISHRpZDkQ0JCQkJCQqJLIcmHhISEhISERJdCkg8JCQkJCQmJLoUkHxISEhISEhJdCkk+JCQkJCQkJLoUknxISEhISEhIdCn+H0lm2qbvsiufAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"max_spill_steps = 200\n",
"\n",
"#range for gradients to do scans at\n",
"many_grad = np.linspace(-2.5,10,25)*si.G/si.cm\n",
"\n",
"#step sizes that were found in previous step\n",
"dp = np.linspace(0.075,0.55,len(many_grad))*si.uW\n",
"dgrad = np.linspace(0.0015,0.01,len(many_grad))*si.G/si.cm\n",
"\n",
"many_power = np.zeros_like(many_grad)\n",
"step_grad = np.zeros_like(many_grad)\n",
"step_power = np.zeros_like(many_grad)\n",
"\n",
"data = {\"gradient\":np.zeros_like(many_grad),\n",
" \"power\":np.zeros_like(many_grad),\n",
" \"gradient_step\":np.zeros_like(many_grad),\n",
" \"power_step\":np.zeros_like(many_grad),\n",
" \"gradient_rel\":np.zeros_like(many_grad),\n",
" \"power_rel\":np.zeros_like(many_grad)\n",
" }\n",
"\n",
"for i, initial_grad in tqdm(enumerate(many_grad),total=len(many_grad)):\n",
" #print(i)\n",
" many_power[i] = 4/3/np.sqrt(3)*zr * np.pi* trap.subs(trap.m * trap.g + trap.mu_b * initial_grad) * trap.subs(trap.waist_tweezer**2/trap.a)\n",
"\n",
" gradients, atom_number = sweep_gradient_old(trap, many_power[i], dgrad[i], 250, -0.5*zr, 1.9*zr,max_spill_steps=max_spill_steps)\n",
" step_grad[i] = calculate_stepsize(gradients,atom_number,plot=True)\n",
"\n",
" powers, atom_number = sweep_power_old(trap, initial_grad, dp[i], 250, -0.5*zr, 1.9*zr,max_spill_steps=max_spill_steps)\n",
" step_power[i] = calculate_stepsize(powers,atom_number)\n",
"\n",
" print(f\"For {initial_grad/si.G*si.cm}G/cm ({many_power[i]/si.uW}uW): dB'={step_grad[i]/si.G*si.cm}G/cm (rel: {step_grad[i]/np.abs(initial_grad)*100}%), dP = {step_power[i]/si.uW}uW (rel: {step_power[i]/many_power[i]*100}%)\")\n",
"\n",
" data[\"gradient\"][i] = initial_grad\n",
" data[\"power\"][i] = many_power[i]\n",
" data[\"gradient_step\"][i] = step_grad[i]\n",
" data[\"gradient_rel\"][i] = step_grad[i]/np.abs(initial_grad)\n",
" data[\"power_step\"][i] = step_power[i]\n",
" data[\"power_rel\"][i] = step_power[i]/many_power[i]\n",
"\n",
"\n",
"# Save dictionary to numpy file\n",
"np.savez(\"data/sweeps_532.npz\",gradient=data[\"gradient\"], power = data[\"power\"],gradient_step = data[\"gradient_step\"],gradient_rel = data[\"gradient_rel\"],power_step = data[\"power_step\"],power_rel = data[\"power_rel\"])"
]
}
],
"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
}