LennartNaeve_code/merging_tweezer_code/bosons/2025_03_19 (calc wf).ipynb
2025-04-25 20:52:11 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Use this notebook to diagonalise 3D Hamiltonian"
]
},
{
"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 scipy import sparse\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 DoubleTweezer"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Trap parameters:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"initial_power = 100* si.uW\n",
"initial_waist = 1.1*si.uW\n",
"initial_distance = 1.27*si.um\n",
"\n",
"trap: DoubleTweezer = DoubleTweezer(\n",
" power=0, # Set pancake laser power to 0, no 2D trap\n",
" grad_z= 0*si.G/si.cm,\n",
" grad_r=0,\n",
" power_tweezer1 = initial_power, #stationary\n",
" power_tweezer2 = initial_power, #transfer tweezer\n",
" waist_tweezer1 = initial_waist, #stationary\n",
" waist_tweezer2 = initial_waist, #transfer tweezer\n",
" distance_tweezers = initial_distance,\n",
"\n",
" a=180*(4 * np.pi * const.epsilon_0 * const.value(\"Bohr radius\")**3)/(2 * const.epsilon_0 * const.c),\n",
" wvl = 532 * si.nm,\n",
"\n",
" g = 0,\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$\\displaystyle \\frac{\\omega_{t r}}{\\omega_{t ax}} \\approx 9.19$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$\\displaystyle \\frac{\\omega_{t r}}{\\omega_{t ax}} \\approx 9.19$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"omega_z1 = sp.sqrt(4*trap.power_tweezer1*trap.a/sp.pi**3/trap.m) * trap.wvl/trap.waist_tweezer1**3\n",
"omega_z2 = sp.sqrt(4*trap.power_tweezer2*trap.a/sp.pi**3/trap.m) * trap.wvl/trap.waist_tweezer2**3\n",
"\n",
"omega_r1 = sp.sqrt(2*trap.power_tweezer1*trap.a/sp.pi/trap.m) * 2/trap.waist_tweezer1**2\n",
"omega_r2 = sp.sqrt(2*trap.power_tweezer2*trap.a/sp.pi/trap.m) * 2/trap.waist_tweezer2**2\n",
"\n",
"aspect_ratio1 = omega_r1 / omega_z1\n",
"_aspect_ratio1_latex = sp.latex(trap.omega_r_tweezer / trap.omega_ax_tweezer)\n",
"display(Math(f\"{_aspect_ratio1_latex} \\\\approx {trap.subs(aspect_ratio1).evalf():.2f}\"))\n",
"\n",
"aspect_ratio2 = omega_r2 / omega_z2\n",
"_aspect_ratio2_latex = sp.latex(trap.omega_r_tweezer / trap.omega_ax_tweezer)\n",
"display(Math(f\"{_aspect_ratio2_latex} \\\\approx {trap.subs(aspect_ratio2).evalf():.2f}\"))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 500x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"left_cutoff = -0.5*float(trap.subs(trap.distance_tweezers))-3*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"right_cutoff = 0.5*float(trap.subs(trap.distance_tweezers))+3*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"\n",
"\n",
"# Solve the hamiltonian numerically in axial direction\n",
"energies, states, potential, coords = trap.nstationary_solution(\n",
" trap.x, (left_cutoff, right_cutoff), 500, k=4\n",
")\n",
"\n",
"# States that are below the potential barrier\n",
"bound_states = energies < potential(left_cutoff)\n",
"\n",
"\n",
"z_np = np.linspace(left_cutoff, right_cutoff, num=500)\n",
"ax: plt.Axes\n",
"fig, ax = plt.subplots(figsize=(5, 5))\n",
"ax.plot(z_np / si.um, potential(z_np) / const.h / si.kHz,color=\"cornflowerblue\" ,marker=\"None\")\n",
"ax.set_title(f\"{np.sum(bound_states)} bound solutions, tweezer distance: {trap.subs(trap.distance_tweezers)/si.um}um\")\n",
"ax.set_xlabel(r\"x ($\\mathrm{\\mu m}$)\")\n",
"ax.set_ylabel(r\"E / h (kHz)\")\n",
"abs_min = np.min(potential(z_np))\n",
"ax.fill_between(\n",
" z_np / si.um,\n",
" potential(z_np) / const.h / si.kHz,\n",
" abs_min / const.h / si.kHz,\n",
" alpha=0.5,\n",
" color=\"cornflowerblue\"\n",
")\n",
"\n",
"count = 0\n",
"for i, bound in enumerate(bound_states):\n",
" if not bound:\n",
" continue\n",
" energy = energies[i]\n",
" state = states[i]\n",
" ax.plot(\n",
" z_np / si.um,\n",
" np.where(\n",
" (energy > potential(z_np)),\n",
" energy / const.h / si.kHz,\n",
" np.nan,\n",
" ),\n",
" c=\"k\",\n",
" lw=0.5,\n",
" marker=\"None\",\n",
" )\n",
" ax.plot(z_np/si.um, state *1e1, marker=\"None\",label=f\"state {count}\")#, c=\"k\")\n",
" count += 1\n",
"\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Diagonalisation parameters"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"files saved with ...._2025-03-21_16-20-09\n"
]
}
],
"source": [
"n_grid_1D = 100\n",
"\n",
"n_pot_steps = [n_grid_1D,n_grid_1D,n_grid_1D]\n",
"n_levels = 8\n",
"\n",
"left_cutoff = -0.5*initial_distance-2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"right_cutoff = 0.5*initial_distance+2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"back_cutoff = -2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"front_cutoff = 2*np.max([float(trap.subs(trap.waist_tweezer1)),float(trap.subs(trap.waist_tweezer2))])\n",
"bottom_cutoff = -1*np.max([float(trap.subs(trap.get_tweezer_rayleigh1())),float(trap.subs(trap.get_tweezer_rayleigh2()))])\n",
"top_cutoff = 1*np.max([float(trap.subs(trap.get_tweezer_rayleigh1())),float(trap.subs(trap.get_tweezer_rayleigh2()))])\n",
"\n",
"extend = [(left_cutoff,right_cutoff),\n",
" (back_cutoff,front_cutoff),\n",
" (bottom_cutoff,top_cutoff)]\n",
"\n",
"\n",
"# Solve the hamiltonian numerically\n",
"energies, states, potential, coords = trap.nstationary_solution(\n",
" [trap.x,trap.y,trap.z], extend, n_pot_steps, k=n_levels,\n",
" method=\"matrix_free\", export=True)\n",
"\n",
"\n",
"x = coords[trap.x]\n",
"y = coords[trap.y]\n",
"z = coords[trap.z]\n",
"x3D,y3D,z3D = np.meshgrid(coords[trap.x],coords[trap.y],coords[trap.z],indexing=\"ij\")\n",
"pot = potential(x3D,y3D,z3D)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualise results"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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bb8HV1RX19fWor6/HL7/8AgBobGzE0qVLodfrceLECezfvx9Tp06Fh4cHZsyY0YOr3TfJLa/knFX9nb2yivoGZpV9suqHH37ApEmTcObMGeh0OowYMaJbr5MzZhX1hNyyCug7eTV27FjcddddeOSRR/DJJ59AEAQsX768W6+VI2YV9QSz6vpm1TvvvIMPP/wQL774Is6fP48ff/wRP/74IwCgqakJP/74I5qbm7t1HnJjzzEr6hvklldyzipLZsyYgUGDBuHTTz+1+rVywqyinmBWXf/fBd52223w9/cX2xUKBSZPnozTp0/j7Nmz3ToPOWJWUU/ILasAeefV1XJycgCgzz9mEGBW2ZKTvU/AHi5evIgxY8bg0UcfxaxZs2x+vB9++AHjx4/HxIkT8cEHH2DYsGH47rvvrnmykVKpxKpVq/D3v/8dX375ZZf1b7zxBgICApCXl2e0stTly5e7fUwPDw+MHj0af/7zn83u9/HxsfjakSNHYsCAAfjiiy9M9n3xxRf4n//5nz47e7QVrWiVsC9rJCQk4Ny5c1izZg3q6uoQHByMwsJC8Ya3rq4OtbW1Yn1AQAAKCwuRmpqKV155BT4+Pti0aZPR35GIiAjs3LkTzz33HFauXImRI0ciLy8P48aNE2uysrIAANHR0Ubns23bNsybNw+Ojo744osvsH37dvz444/w9vbGxIkTkZeXB1dXV2svS58n57ySW1b1d1LllXSpR3LCrLr+WfXDDz/g3nvvRU1NDT766COMHj2628eXM2YV9YScswqQb15dzdXVFbfddhu++eYbq18rF8wq6glmVZvrlVVffvklWlpacNddd5nse+211/Daa6+hoKAA06dP7/b5yIU9x6yob5BzXsktqzojCEKfX/mY91bUE8yq6/u7wIEDB5rdJwhtv6Dvy3nFrKKekHNWAfLLq46amprwj3/8A2q1GiEhId0+vlwxq2ynX068io2NFZeZM6epqQnPPfcc3nzzTfz4448IDg5Genq6yUSS7kpPT4evry+2bdsmtg0fPrxbr62rqzP7+LX2ZfY6hoZKpRJXFepIoVDA2dnZKLjq6+uxZ88ek1pLfTzwwAMoLCzEyJEjceONN3br3Ns5OTlh6tSp2LVrF1588UVxck1tbS0++eQTpKamWtUfdV9ycjKSk5PN7svNzTVpi4qKQkVFRad9xsXFIS4uzuL+9htoSwYMGIB9+/Z1WkO/kkte9YWsIqJrx6y6vlnVPunqX//6F3Q6HUJDQ63ug6g/kktWAX0nr8xpaGjAF198gfHjx0vSH1Ffw6y6vlk1b948s9du4sSJmD59OpYsWYLg4GCr+iTqL+SSV30hqyx555138PPPP5udPEpEbZhV1/d3gdOmTcM777yDEydOiO9bEAR8+OGHGDlyJDw8PKzqk6i/kEtWAX0jrzrau3cvGhoa+DhU6rG+O7W4Bx599FH885//xM6dO/H555/joYcewn333Yfjx49fU3979+5FWFgYHnroIQwbNgyhoaHdfu765MmTMWXKFGRlZeGTTz7BRx99hL/97W+YOXMmbrjhBixZskSsHTVqFI4cOYK8vDx89tln4gpTDzzwAL7++mskJyfj448/xuuvv467777bbCiOGjUK+/fvx7vvvouysjJ8/fXXAIA1a9ZAqVQiIiICWVlZ+Pjjj1FYWIjMzEw88MADOH36dKfv409/+hN+/vlnPPDAA/jggw9QUFCA+++/Hx4eHnjqqae6eyllxyAIkm5EV+stedVXsuo///kP3nnnHbzzzjvieX3wwQd45513rHoetBwxq8iWmFXSZdUvv/yCyZMno7KyEn/605/Q0tKCTz/9VNy+++47ay+nrDCryJZ6S1YBfSOvzp8/jzvvvBNarRbvv/8+Pv74Y2RnZyMyMhKXL1/GqlWrrLmcssKsIltiVkmbVcOHD0d0dLTJBgC//e1vER0d3Wd/QcgxK7K13pJXfSGrTp48ifHjx+Pll1/GBx98gA8//BBpaWmYO3cubr/99j7/WBxmFdkSs0ra8fW1a9di0KBBuO+++7Bz504UFhZi1qxZOHLkCP7yl79Ycyllx95ZlZmZiYCAALi4uECtVuPAgQOd1peUlECtVsPFxQUjRoxAdna2SU1+fj6CgoKgUqkQFBSEgoICo/3WPh7v8ccfh0KhgFartfbt9Xu9JauAvpNX7XJycjBgwADMnj27W/VyZ++s6tOEfg6AUFBQIP787bffCgqFQjhz5oxR3T333COkpaVd0zFUKpWgUqmEtLQ0oaKiQsjOzhZcXFyE119/vcvX5uXlCbNnzxZuvvlm4YYbbhCUSqXg5+cnJCYmCl999ZVR7YkTJ4SYmBjB1dVVACD4+/uL+/7yl78Iw4cPF1QqlRAYGCi89tprwqpVq4Sr/xOoqqoSxo8fLwwcOFAAIERFRYn7/vOf/wiLFy8WAgICBKVSKQwZMkRQq9XCihUrhMbGxi7fS1lZmXDPPfcIAwcOFNzc3ITp06cL3377bZevk6Pz588LAISTx3yEH87cJMl28piPAEA4f/68vd8e2Ulvzqu+klWffPKJAMDs1vEYfYnUecWsImbVr2yRVTU1NRZzCoAwd+7cbl9HOWFWkdR6c1YJQt/Iq0uXLgkLFiwQAgMDhRtuuEFwcnISbrrpJuEPf/iDcPTo0e5dRJlhVpHUmFXXb8zqagCERYsWWf06OeCYFdlCb86rvpBV//3vf4UZM2YIw4cPFwYMGCA4OzsLN998s/DMM88IP/74Y/cvoszw3oqkxqz6lS3vq7744gvh/vvvF1xdXQUXFxfhrrvuEt59992uL55M9Yas2rlzp6BUKoXXXntN+Oqrr4QlS5YIgwYNEk6ePGm2/l//+pcwcOBAYcmSJcJXX30lvPbaa4JSqRTeeecdsebQoUOCo6OjsG7dOqG6ulpYt26d4OTkJHz66adiTWFhobBixQohPz/f5O/X1QoKCoQxY8YIPj4+wt///vduv7f+qDdnlSD0rbyqra0VHBwchDlz5nRZK3e9Iav6OoUg9O/paAqFAgUFBZg+fToA4O2330Z8fDwGDRpkVHf58mXMnDkTeXl5OHHiBAICAjrtd9GiRcjIyAAAODs7IywsDIcOHRL3L168GJ999hn0er20b4h6hQsXLsDd3R0nj/nAzVWaheUu/NQK/9u+x/nz5+Hm5iZJnyQvzCuyBanzillFzCqyBWYVSY1ZRbbArCKpMavIFjhmRbbAvCJb4L0VSY1ZRbbQG7Jq3LhxGDt2LLKyssS2wMBATJ8+HevXrzepf/bZZ7F3717x0XAAkJSUhCNHjoj/nSYkJODChQv44IMPxJr77rsPN954I3bs2GHS59V/vzo6c+YMxo0bh3379uH+++9HSkoKUlJSuvXe+iNmFdlCb8iqvs7J3ifQ27S2tsLR0RHl5eVwdHQ02nfDDTcAaFtqvOP/jMzp+CxRb29vBAUFGe0PDAxEfn6+RGdNvVUrBBggzdzGVon6ob6DeUVSkiqvmFV0NWYVSYlZRbbCrCIpMavIVphVJCWOWZEtMa9ISry3IlthVpGUpM6qCxcuGLWrVCqoVCqT+qamJpSXl2PZsmVG7TExMUaTajrS6/WIiYkxaps8eTJycnLQ3NwMpVIJvV6P1NRUkxprHxPY2tqKxMREPP3007j99tutei21YVaRlHhfZTuceHWV0NBQGAwGnD17FpGRkWZrlEolbrvttm73OX78ePF5o+2++eYb+Pv79+hciah/Y14RkRwwq4hIDphVRCQHzCoikgvmFRHJAbOKejNfX1+jn1etWoXVq1eb1DU0NMBgMMDT09Oo3dPTE/X19Wb7rq+vN1vf0tKChoYGeHt7W6yx1Kcl6enpcHJywuLFi616Hf2KWUUkD/1y4lVjYyO+/fZb8eeamhpUVVVhyJAhuOWWW/DII49gzpw5+Nvf/obQ0FA0NDTg448/xqhRozBlyhSrj5eamoqIiAisW7cO8fHx+L//+z9s3rwZmzdvlvJtUS/UCkGyGZ+cOdo/Ma/oepEqr5hV/ROziq4XZhX1BLOKrhdmFfUEs4quF45ZUU8xr+h64b0V9QSziq4XqbPq1KlTRo/vMrfaVUcKhcLoZ0EQTNq6qr+63do+r1ZeXo6XXnoJFRUVVr2uP2JW0fXC+yrb6fkDHGWorKwMoaGhCA0NBQBoNBqEhobi+eefBwBs27YNc+bMwVNPPYVbb70VDz74IA4fPmwyu7i77rjjDhQUFGDHjh0IDg7G2rVrodVq8cgjj0j2nqh3MgiCpBv1P8wrul6YVdQTzCq6XphV1BPMKrpemFXUE8wqul44ZkU9xbyi68WeWZWZmYmAgAC4uLhArVbjwIEDndaXlJRArVbDxcUFI0aMQHZ2tklNfn4+goKCoFKpEBQUhIKCAqP9paWlmDp1Knx8fKBQKLB7926zx6qursaDDz4Id3d3uLq64q677kJtba3V77GvY1bR9SJ1Vrm5uRltliZeeXh4wNHR0WQlqrNnz5qsWNXOy8vLbL2TkxOGDh3aaY2lPs05cOAAzp49Cz8/Pzg5OcHJyQknT57EU089heHDh3e7n/6AWUXXCz8D2o5CEHhViKR24cIFuLu745tqT7i6SjO/8aefWnFL4L9x/vx5o1nuREQ9IXVeMauIyBZ6S1ZlZmbir3/9K+rq6nD77bdDq9VaXOIbaBt012g0OHr0KHx8fPDMM88gKSnJqCY/Px8rV67Ed999h5EjR+LPf/4zZsyYIe4vLS3FX//6V5SXl6Ourg4FBQWYPn26UR+WvjX44osv4umnnwYAREdHo6SkxGh/QkICdu7c2e33T0Sd6y1ZRUTUGY5ZEZFc2PveKi8vD4mJicjMzMT48ePx6quvYsuWLfjqq6/g5+dnUl9TU4Pg4GAsXLgQjz/+OP75z38iOTkZO3bswKxZswAAer0ekZGRWLt2LWbMmIGCggI8//zzOHjwIMaNGwcA+OCDD/DPf/4TY8eOxaxZs8x+Bvzuu+9w5513Yv78+fj9738Pd3d3VFdX44477sCwYcN6fK2IqPvsnVUAMG7cOKjVamRmZoptQUFBmDZtGtavX29S/+yzz+Ldd9/FV199Jbb9v//3/1BVVQW9Xg+gbczop59+QmFhoVgTGxuLwYMHY8eOHSZ9KhQKk7w6d+4c6urqjOomT56MxMREPProo7j11lu79f6IqOd6Q1b1df1yxSui66VV4o2IyFbsnVX2+Abh+vXrcccdd8DV1RXDhg3D9OnTTZ5rPm/ePCgUCqPtrrvuusZ3SUQ9Zc+sysvLQ0pKClasWIHKykpERkYiNjbW4jeKa2pqMGXKFERGRqKyshLLly/H4sWLkZ+fL9bo9XokJCQgMTERR44cQWJiIuLj43H48GGx5uLFixgzZgwyMjIsnltdXZ3RtnXrVigUCnFwv93ChQuN6l599dVruBJE1BV731cREXUHx6yISC7slVUbN27E/PnzsWDBAgQGBkKr1cLX1xdZWVlm67Ozs+Hn5wetVovAwEAsWLAAjz32GDZs2CDWaLVaTJo0CWlpabjtttuQlpaGe+65B1qtVqyJjY3FCy+8gJkzZ1o8txUrVmDKlCl48cUXERoaihEjRuD+++/npCsiO7LnfZVGo8GWLVuwdetWVFdXIzU1FbW1teKX/9LS0jBnzhyxPikpCSdPnoRGo0F1dTW2bt2KnJwcLF26VKxZsmQJioqKkJ6ejmPHjiE9PR3FxcVISUkRaxobG1FVVYWqqioAvz4er32sbOjQoQgODjbalEolvLy8OOmKyE74GdB2OPGKyIYMECTdiIhsxZ5ZZa/JDCUlJVi0aBE+/fRT6HQ6tLS0ICYmBhcvXjQ63n333Wc0UaHjt3yI6PqyZ1b15kF3Ly8vo23Pnj2YOHEiRowYYVQ3cOBAozp3d3errwMRdY2fAYlIDjhmRURyIXVWXbhwwWi7fPmyyTGbmppQXl6OmJgYo/aYmBgcOnTI7Hnq9XqT+smTJ6OsrAzNzc2d1ljq05zW1la8//77uOWWWzB58mQMGzYM48aNs/hIQiK6Pux5X5WQkACtVos1a9YgJCQEpaWlKCwshL+/P4C2L+x1HGsPCAhAYWEh9u/fj5CQEKxduxabNm0y+gJfREQEdu7ciW3btmH06NHIzc1FXl6euDof0PXj8Yio9+FnQNtxsvcJXE+tra34/vvv4erqavFxHERdEQQBP/30E3x8fODgwLmLJD1mFUlBTlnVcTID0DYRYd++fcjKyjK7FHLHyQwAEBgYiLKyMmzYsEH8cNhxMgPQ9q2ekpISaLVacSnkDz/80Kjfbdu2YdiwYSgvL8eECRPEdpVKBS8vL8nft9wxq0gq9syrCxcuGP2sUqmgUqlM6toH3ZctW2bUfi2D7jk5OWhuboZSqYRer0dqaqpJTceJV9b697//jffffx+vv/66yb4333wTb7zxBjw9PREbG4tVq1bB1dX1mo8lB8wqkoqc7q1InphXJAVmFdkas4qkYO+s8vX1Nfp51apVWL16tVFbQ0MDDAYDPD09jdo9PT1RX19vtt/6+nqz9S0tLWhoaIC3t7fFGkt9mnP27Fk0NjbiL3/5C1544QWkp6fjww8/xMyZM/HJJ58gKiqq2331Vcwqkoq988oaycnJSE5ONrsvNzfXpC0qKgoVFRWd9hkXF4e4uDiL+6OjoyEI1k2+OHHihFX1fRmziqQip6zqy/rVxKvvv//e5Kaa6FqdOnUKN910U6c1BqFtk4JU/VDvx6wiKXUnqwDp8qq9DzlOZjh//jwAYMiQIUbt+/fvx7BhwzB48GBERUXhz3/+M5duB7OKpHc9763a++jOgDvQuwfdr/b666/D1dXVZIWsRx55BAEBAfDy8sKXX36JtLQ0HDlyBDqd7pqPJQfMKpKaPbKK+gfmFUmJY1ZkK8wqkpK9xqxOnToFNzc3sd3ceFW7q38RLghCp78cN1d/dbu1fV6ttbXt4T7Tpk0Tx75CQkJw6NAhZGdnc+IVmFUkPX4OJFtgVpHUmFX21a8mXrV/m/tuTIETlHY+G5KrFjTjIAr7/OoAZD/MKpKCvbNKbpMZBEGARqPB3XffjeDgYLE9NjYWDz30EPz9/VFTU4OVK1fid7/7HcrLyzsdmOsPmFUkFXvmlTUD7kDvHHS/2tatW/HII4/AxcXFqH3hwoXin4ODg3HzzTcjLCwMFRUVGDt27DUfr7djVpFU7H1vRX0f84qkwKwiW2NWkRTsnVVubm5GnwPN8fDwgKOjo8k40tmzZ03Gm9p5eXmZrXdycsLQoUM7rbHUp6Vzc3JyQlBQkFF7YGAgDh482O1++jJmFUnF3nlFfRuziqTCrOod+tXEq/ZfYDhBCScFA4yu0ZUZnN35hVjrlU0KUvVDvR+ziiRhRVYB0uVVex9ym8zwxBNP4PPPPzcZoEpISBD/HBwcjLCwMPj7++P99983WU2mv2FWkWTscG/V3kd3BtyB3j3o3tGBAwfw9ddfIy8vr8vasWPHQqlU4vjx43164hWziiRjx6yi/oF5RZLgmBXZGLOKJGHnMavucHZ2hlqthk6nw4wZM8R2nU6HadOmmX1NeHg43n33XaO2oqIihIWFQalUijU6nc5olfaioiJERERYdW533HEHvv76a6P2b775Bv7+/t3upy9jVpFk+DmQbIhZRZJhVvUK/WriFdH11goFDJDmubytEvVDRGSOVHnVnlVymszw5JNPYu/evSgtLe1yGVZvb2/4+/vj+PHjXb43IpKe1FnVXb150L2jnJwcqNVqjBkzpsvao0ePorm5Gd7e3td0LCKyzF5ZRURkDY5ZEZFc2OveSqPRIDExEWFhYQgPD8fmzZtRW1uLpKQkAEBaWhrOnDmD7du3AwCSkpKQkZEBjUaDhQsXQq/XIycnBzt27BD7XLJkCSZMmID09HRMmzYNe/bsQXFxsdEXARsbG/Htt9+KP9fU1KCqqgpDhgyBn58fAODpp59GQkICJkyYgIkTJ+LDDz/Eu+++i/3791/r5SGiHuLnQCKSA2aV7TjY+wSIiIio/+o4maEjnU5nceJB+0SFjixNZri6pmOfgiDgiSeewK5du/Dxxx8jICCgy/M9d+4cTp06xYkKRP2QRqPBli1bsHXrVlRXVyM1NdVk0H3OnDlifVJSEk6ePAmNRoPq6mps3boVOTk5WLp0qVizZMkSFBUVIT09HceOHUN6ejqKi4uRkpIi1jQ2NqKqqgpVVVUAfh10r62tNTq/Cxcu4O2338aCBQtMzv27777DmjVrUFZWhhMnTqCwsBAPPfQQQkNDMX78eAmvEhERERERUd+QkJAArVaLNWvWICQkBKWlpSgsLBRXlaqrqzP6XBYQEIDCwkLs378fISEhWLt2LTZt2oRZs2aJNREREdi5cye2bduG0aNHIzc3F3l5eRg3bpxYU1ZWhtDQUISGhgJo+ywaGhqK559/XqyZMWMGsrOz8eKLL2LUqFHYsmUL8vPzcffdd9v6shARERGRGVzxisiGWoW2Taq+iIhsRaq8upY+7PUNwkWLFuGtt97Cnj174OrqKq6Q5e7ujgEDBqCxsRGrV6/GrFmz4O3tjRMnTmD58uXw8PAwWvGGiK4fe2ZVQkICzp07hzVr1qCurg7BwcHdGnRPTU3FK6+8Ah8fH4uD7s899xxWrlyJkSNHmh10nzhxovizRqMBAMydOxe5ubli+86dOyEIAn7/+9+bnLuzszM++ugjvPTSS2hsbISvry/uv/9+rFq1Co6OjtZfDCLqlD2zioiouzhmRURyYc97q+TkZCQnJ5vd1/HzWLuoqChUVFR02mdcXBzi4uIs7o+OjoYgdH2yjz32GB577LEu64jo+uDnQCKSA2aV7XDiFZENGSRctl2qfoiIzJEqr66lD3tNZsjKygLQNqDV0bZt2zBv3jw4Ojriiy++wPbt2/Hjjz/C29sbEydORF5eHlxdXa1+n0TUc/bMKqB3D7r/8Y9/xB//+Eez+3x9fVFSUtJlH0QkDXtnFRFRd3DMiojkgvdWRCQHzCoikgNmle1w4hURERHZnT0mM3Q1kWHAgAHYt29fpzVERERERERERERERERE1H9x4hWRDfHbg0QkF5zlTkRywKwiIjlgVhGRHHDMiojkgvdWRCQHzCoikgNmle042PsEiIiIiIiIiIiIiIiIiIiIiIiI5IYrXhHZUKugQKsgzYxPqfohIjJHqrxiVhGRLTGriEgOmFVEJAccsyIiueC9FRHJAbOKiOSAWWU7nHhFZENctp2I5ILLixKRHDCriEgOmFVEJAccsyIiueC9FRHJAbOKiOSAWWU7fNQgERERERERERERERERERERERGRlbjiFZENGeAAg0TzGw2S9EJEZJ5UecWsIiJbYlYRkRwwq4hIDjhmRURywXsrIpIDZhURyQGzynY48YrIhgSJnpPa3hcRka1IlVfMKiKyJWYVEckBs4qI5IBjVkQkF7y3IiI5YFYRkRwwq2yHjxokIiIiIiIiIiIiIiIiIiIiIiKbyMzMREBAAFxcXKBWq3HgwIFO60tKSqBWq+Hi4oIRI0YgOzvbpCY/Px9BQUFQqVQICgpCQUGB0f7S0lJMnToVPj4+UCgU2L17d6fHfPzxx6FQKKDVaq16b5x4RWRDBigk3YiIbIVZRURywKwiIjmwd1b11kEshUJhdvvrX/8q1kRHR5vsf/jhh6/pOhBR5zhmRURywawiIjlgVhGRHNgzq/Ly8pCSkoIVK1agsrISkZGRiI2NRW1trdn6mpoaTJkyBZGRkaisrMTy5cuxePFi5OfnizV6vR4JCQlITEzEkSNHkJiYiPj4eBw+fFisuXjxIsaMGYOMjIwuz3H37t04fPgwfHx8rH5/nHhFZEMGwUHSjYjIVphVRCQHzCoikgN7ZlVvHsSqq6sz2rZu3QqFQoFZs2YZ1S1cuNCo7tVXX7X6OhBR1zhmRURywawiIjlgVhGRHNgzqzZu3Ij58+djwYIFCAwMhFarha+vL7KysszWZ2dnw8/PD1qtFoGBgViwYAEee+wxbNiwQazRarWYNGkS0tLScNtttyEtLQ333HOP0WpVsbGxeOGFFzBz5sxOz+/MmTN44okn8Oabb0KpVFr9/pjeRERERERERER9QG8exPLy8jLa9uzZg4kTJ2LEiBFGdQMHDjSqc3d379lFISIiIiIiIiIiyV24cMFou3z5stm6pqYmlJeXIyYmxqg9JiYGhw4dMvsavV5vUj958mSUlZWhubm50xpLfVrS2tqKxMREPP3007j99tutem07TrwisqFWKNAKB4k2Li9KRLYjXV4xq4jIdphVRCQHUmdVXxnE6ujf//433n//fcyfP99k35tvvgkPDw/cfvvtWLp0KX766adrPg4RWcYxKyKSC34OJCI5YFYRkRxInVW+vr5wd3cXt/Xr15s9bkNDAwwGAzw9PY3aPT09UV9fb/Y19fX1ZutbWlrQ0NDQaY2lPi1JT0+Hk5MTFi9ebNXrOnK65lcSEREREREREZFN+fr6Gv28atUqrF692qTOFoNY3t7ekg1idfT666/D1dXVZIWsRx55BAEBAfDy8sKXX36JtLQ0HDlyBDqd7pqPRURERERERERE0jt16hTc3NzEn1UqVaf1CoXx5FJBEEzauqq/ut3aPq9WXl6Ol156CRUVFVa97mqceEVkQwYoYJBodrpU/RARmSNVXjGriMiWmFVEJAdSZ1VfGMS62tatW/HII4/AxcXFqH3hwoXin4ODg3HzzTcjLCwMFRUVGDt27DUfj4hMccyKiOSCnwOJSA6YVUQkB1JnlZubm9GYlSUeHh5wdHQ0+RLf2bNnTb7s187Ly8tsvZOTE4YOHdppjaU+zTlw4ADOnj0LPz8/sc1gMOCpp56CVqvFiRMnutUPHzVIZEMGwUHSjYjIVphVRCQHzCoikgOps6p9EKt9szTxqjcPYnV04MABfP3111iwYEGXtWPHjoVSqcTx48ev6VhEZJm9x6wyMzMREBAAFxcXqNVqHDhwoNP6kpISqNVquLi4YMSIEcjOzjapyc/PR1BQEFQqFYKCglBQUGC0v7S0FFOnToWPjw8UCgV2797d6TEff/xxKBQKaLVaa98eEUmInwOJSA6YVUQkB/bKKmdnZ6jVapMVzXU6HSIiIsy+Jjw83KS+qKgIYWFhUCqVndZY6tOcxMREfP7556iqqhI3Hx8fPP3009i3b1+3+2F6ExERERERERHJXG8exOooJycHarUaY8aM6bL26NGjaG5uhre39zUdi4h6p7y8PKSkpGDFihWorKxEZGQkYmNjUVtba7a+pqYGU6ZMQWRkJCorK7F8+XIsXrwY+fn5Yo1er0dCQgISExNx5MgRJCYmIj4+HocPHxZrLl68iDFjxiAjI6PLc9y9ezcOHz4MHx+fnr9hIiIiIiKifk6j0WDLli3YunUrqqurkZqaitraWiQlJQEA0tLSMGfOHLE+KSkJJ0+ehEajQXV1NbZu3YqcnBwsXbpUrFmyZAmKioqQnp6OY8eOIT09HcXFxUhJSRFrGhsbxQlVQNvny6qqKvHz59ChQxEcHGy0KZVKeHl54dZbb+32++OjBolsqBUKtEq0LKhU/RARmSNVXjGriMiWmFVEJAf2zCqNRoPExESEhYUhPDwcmzdvNhnEOnPmDLZv3w6gbRArIyMDGo0GCxcuhF6vR05ODnbs2CH2uWTJEkyYMAHp6emYNm0a9uzZg+LiYhw8eFCsaWxsxLfffiv+3D6INWTIEKOl2i9cuIC3334bf/vb30zO/bvvvsObb76JKVOmwMPDA1999RWeeuophIaGYvz48VZfCyLqnD3HrDZu3Ij58+eLK99ptVrs27cPWVlZWL9+vUl9dnY2/Pz8xJWnAgMDUVZWhg0bNmDWrFliH5MmTUJaWhqAtrwrKSmBVqsVMy02NhaxsbFdnt+ZM2fwxBNPYN++fbj//vutem9EJD1+DiQiOWBWEZEc2DOrEhIScO7cOaxZswZ1dXUIDg5GYWEh/P39AQB1dXVGX8YJCAhAYWEhUlNT8corr8DHxwebNm0SPwMCQEREBHbu3InnnnsOK1euxMiRI5GXl4dx48aJNWVlZZg4caL4s0ajAQDMnTsXubm5Vr8PS2S14tWZM2fwhz/8AUOHDsXAgQMREhKC8vJye58WkUWtcIBBoq1VXn9d+zVmFcmRVHnFrJIX5hXJDbOqf2JWkdzYM6sSEhKg1WqxZs0ahISEoLS0tFuDWPv370dISAjWrl1rcRBr27ZtGD16NHJzc80OYoWGhiI0NBRA2yBWaGgonn/+eaPz27lzJwRBwO9//3uTc3d2dsZHH32EyZMn49Zbb8XixYsRExOD4uJiODo6Wn0trjdmFcmNLcasLly4YLRdvnzZ5LhNTU0oLy9HTEyMUXtMTAwOHTpk9lz1er1J/eTJk1FWVobm5uZOayz1afG6tLYiMTERTz/9NG6//XarXisHzCqSI34O7J+YVyQ3zKr+iVlFcmPvrEpOTsaJEydw+fJllJeXY8KECeK+3Nxc7N+/36g+KioKFRUVuHz5MmpqasQvFnYUFxeHY8eOoampCdXV1Zg5c6bR/ujoaAiCYLJ1NunqxIkTRqtmdYdsVrz64YcfMH78eEycOBEffPABhg0bhu+++w6DBw+296kREYmYVUQkF8wrIpIDZhWR9ZKTk5GcnGx2n7lBpfZBrM7ExcUhLi7O4v72Qayu/PGPf8Qf//hHs/t8fX1RUlLSZR+9EbOKqI2vr6/Rz6tWrcLq1auN2hoaGmAwGODp6WnU7unpifr6erP91tfXm61vaWlBQ0MDvL29LdZY6tOS9PR0ODk5YfHixVa9Tg6YVUQkF8wrIpIDZhURdSSbiVfp6enw9fXFtm3bxLbhw4fb74SIusEgOMAgSDM73dCNQWyyP2YVyZVUecWskg/mFckRs6r/YVaRHDGr+h9mFcmRLcasTp06BTc3N7FdpVJZfI1CYfxoCkEQTNq6qr+63do+r1ZeXo6XXnoJFRUVVr1OLphVJFe8t+p/mFckR8yq/odZRXLErLId2axXuHfvXoSFheGhhx7CsGHDEBoaitdee63T11y+fNlkiWsiIltiVhGRXFibV8wqIrIHZhURyQE/BxK1cXNzM9rMTbzy8PCAo6OjyUpUZ8+eNVmxqp2Xl5fZeicnJwwdOrTTGkt9mnPgwAGcPXsWfn5+cHJygpOTE06ePImnnnqqT/wSjVlFRHLBz4FEJAfMKiLqSDYTr/71r38hKysLN998M/bt24ekpCQsXrwY27dvt/ia9evXw93dXdyuXu6ayNZarzzjVKqNej9mFckVs6r/sTavmFXUGzCr+h9mFckRs6r/4edAkiN7jVk5OztDrVZDp9MZtet0OkRERJh9TXh4uEl9UVERwsLCoFQqO62x1Kc5iYmJ+Pzzz1FVVSVuPj4+ePrpp7Fv375u99NbMatIrnhv1f/wcyDJEbOq/2FWkRwxq2xHNo8abG1tRVhYGNatWwcACA0NxdGjR5GVlYU5c+aYfU1aWho0Go3484ULFxhidF0ZBAUMgjRLk0vVD9kWs4rkSqq8YlbJh7V5xayi3oBZ1f8wq0iOmFX9Dz8HkhzZc8xKo9EgMTERYWFhCA8Px+bNm1FbW4ukpCQAbX8/zpw5I/7SKikpCRkZGdBoNFi4cCH0ej1ycnKwY8cOsc8lS5ZgwoQJSE9Px7Rp07Bnzx4UFxfj4MGDYk1jYyO+/fZb8eeamhpUVVVhyJAh8PPzw9ChQ8UVtNoplUp4eXnh1ltvtfq69DbMKpIr3lv1P/wcSHLErOp/mFUkR8wq25HNxCtvb28EBQUZtQUGBiI/P9/ia1QqldklrYmIbIVZRURyYW1eMauIyB6YVUQkB/wcSGSdhIQEnDt3DmvWrEFdXR2Cg4NRWFgIf39/AEBdXR1qa2vF+oCAABQWFiI1NRWvvPIKfHx8sGnTJsyaNUusiYiIwM6dO/Hcc89h5cqVGDlyJPLy8jBu3DixpqysDBMnThR/bv/F19y5c5Gbm2vjd21/zCoikgt+DiQiOWBWEVFHspl4NX78eHz99ddGbd988434gZyoNzLAAQaJltozQJCkH7ItZhXJlVR5xaySD+YVyRGzqv9hVpEcMav6H2YVyZG9x6ySk5ORnJxsdp+5SVBRUVGoqKjotM+4uDjExcVZ3B8dHQ1BsO5cT5w4YVV9b8asIrnivVX/w7wiOWJW9T/MKpIjZpXtyGbiVWpqKiIiIrBu3TrEx8fj//7v/7B582Zs3rzZ3qdGZFGr4IBWQZpBrFYrB4bIPphVJFdS5RWzSj6YVyRHzKr+h1lFcsSs6n+YVSRHHLPqf5hVJFe8t+p/mFckR8yq/odZRXLErLIdaT5dXwd33HEHCgoKsGPHDgQHB2Pt2rXQarV45JFH7H1qREQiZhURyQXziojkgFlFRHLArCIiOWBWEZFcMK+ISA6YVUTUkWxWvAKABx54AA888IC9T4Oo2+y9bDvZB7OK5IjLi/ZPzCuSG2ZV/8SsIrlhVvVPzCqSG45Z9U/MKpIj3lv1T8wrkhtmVf/ErCK5YVbZjmxWvCIiIiIiIiIiIiIiIiIiIiIiIuotZLXiFZHctAIwCArJ+iIishWp8opZRUS2xKwiIjlgVhGRHHDMiojkgvdWRCQHzCoikgNmle1w4hWRDbXCAa0SLSwnVT9EROZIlVfMKiKyJWYVEckBs4qI5IBjVkQkF7y3IiI5YFYRkRwwq2yHV4SIiIiIiIiIiIiIiIiIiIiIiMhKXPGKyIYMggMMgjTzG6Xqh4jIHKnyillFRLbErCIiOWBWEZEccMyKiOSC91ZEJAfMKiKSA2aV7XDiFZENtUKBVvT8OantfRER2YpUecWsIiJbYlYRkRwwq4hIDjhmRURywXsrIpIDZhURyQGzynY4FY2IiIiIiIiIiIiIiIiIiIiIiMhKnHhFZEPty/VJtRER2QqziojkgFlFRHLArCIiOeCYFRHJhT2zKjMzEwEBAXBxcYFarcaBAwc6rS8pKYFarYaLiwtGjBiB7Oxsk5r8/HwEBQVBpVIhKCgIBQUFRvtLS0sxdepU+Pj4QKFQYPfu3Z0e8/HHH4dCoYBWq7X27RGRhHhfRURywKyyHV4RIhsywEHSjYjIVphVRCQHzCoikgNmFRHJAcesiEgu7JVVeXl5SElJwYoVK1BZWYnIyEjExsaitrbWbH1NTQ2mTJmCyMhIVFZWYvny5Vi8eDHy8/PFGr1ej4SEBCQmJuLIkSNITExEfHw8Dh8+LNZcvHgRY8aMQUZGRpfnuHv3bhw+fBg+Pj5WvTcikh7vq4hIDphVtsMrQkRERERERERERERERHTFxo0bMX/+fCxYsACBgYHQarXw9fVFVlaW2frs7Gz4+flBq9UiMDAQCxYswGOPPYYNGzaINVqtFpMmTUJaWhpuu+02pKWl4Z577jFarSo2NhYvvPACZs6c2en5nTlzBk888QTefPNNKJVKSd4zEclXb1yhr7m5Gc8++yxGjRqFQYMGwcfHB3PmzMH333/f4/dLRNTbcOIVkQ21CgpJNyIiW2FWEZEcMKuISA6YVUQkBxyzIiK5sEdWNTU1oby8HDExMUbtMTExOHTokNnX6PV6k/rJkyejrKwMzc3NndZY6tOS1tZWJCYm4umnn8btt99u1WuJyDbseV/VW1fo+/nnn1FRUYGVK1eioqICu3btwjfffIMHH3zQ6vdIRNLgZ0DbcbL3CRARERERERERERERERHZ2oULF4x+VqlUUKlURm0NDQ0wGAzw9PQ0avf09ER9fb3Zfuvr683Wt7S0oKGhAd7e3hZrLPVpSXp6OpycnLB48WKrXkdEfVPHFfqAttX19u3bh6ysLKxfv96kvuMKfQAQGBiIsrIybNiwAbNmzRL7aF+hDwDS0tJQUlICrVaLHTt2AGhboS82Ntbiebm7u0On0xm1vfzyy7jzzjtRW1sLPz+/Hr93IqLeghOviGyoVcJnnLZygToisiGp8opZRUS2xKwiIjlgVhGRHHDMiojkQup7K19fX6P2VatWYfXq1WZfo1AYr+YgCIJJW1f1V7db2+fVysvL8dJLL6GiosKq1xGRbUmdVd2ZJAr8ukLfsmXLjNqvZYW+nJwcNDc3Q6lUQq/XIzU11aSm46NRr8X58+ehUCgwePDgHvVDRNeGY1a2w4lXRDbUKjigVZBoEEuifoiIzJEqr5hVRGRLzCoikgNmFRHJAcesiEgupL63OnXqFNzc3MR2cxMZPDw84OjoaLIS1dmzZ01WrGrn5eVltt7JyQlDhw7ttMZSn+YcOHAAZ8+eNVopxmAw4KmnnoJWq8WJEye63RcRSUfqrOruJNHevkJfR5cuXcKyZcswe/ZsoxwmouuHY1a2w4lXRERERERERERERERE1Oe5ubl1+Qt/Z2dnqNVq6HQ6zJgxQ2zX6XSYNm2a2deEh4fj3XffNWorKipCWFgYlEqlWKPT6YxWkSkqKkJERES3zz8xMRH33nuvUdvkyZORmJiIRx99tNv9EFHv1p1Joh31xhX6OmpubsbDDz+M1tZWZGZmXlMfRES9GaeiEdmQAQpJNyIiW2FWEZEc2DurMjMzERAQABcXF6jVahw4cKDT+pKSEqjVari4uGDEiBHIzs42qcnPz0dQUBBUKhWCgoJQUFBgtL+0tBRTp06Fj48PFAoFdu/ebdLHvHnzoFAojLa77rrLqOby5ct48skn4eHhgUGDBuHBBx/E6dOnrb8IRNQle2cVEVF3cMyKiOTCXlml0WiwZcsWbN26FdXV1UhNTUVtbS2SkpIAAGlpaZgzZ45Yn5SUhJMnT0Kj0aC6uhpbt25FTk4Oli5dKtYsWbIERUVFSE9Px7Fjx5Ceno7i4mKkpKSINY2NjaiqqkJVVRUAoKamBlVVVaitrQUADB06FMHBwUabUqmEl5cXbr311mu8ykTUU1JnVfsk0fbN0sSr3rxCX7vm5mbEx8ejpqYGOp2Oq10R2RE/A9oOJ14R2VD7cn1SbUREtsKsIiI5sGdW5eXlISUlBStWrEBlZSUiIyMRGxsrDn5fraamBlOmTEFkZCQqKyuxfPlyLF68GPn5+WKNXq9HQkICEhMTceTIESQmJiI+Ph6HDx8Way5evIgxY8YgIyOj0/O77777UFdXJ26FhYVG+1NSUlBQUICdO3fi4MGDaGxsxAMPPACDwWD1tSCizvG+iojkgGNWRCQX9sqqhIQEaLVarFmzBiEhISgtLUVhYSH8/f0BAHV1dUafBwMCAlBYWIj9+/cjJCQEa9euxaZNmzBr1iyxJiIiAjt37sS2bdswevRo5ObmIi8vD+PGjRNrysrKEBoaitDQUABtE8BCQ0Px/PPP9+QyEpGN2SurOq7Q15FOp7O4ml776nsdWVqh7+oaa1boA36ddHX8+HEUFxeLE7uIyD74GdB2+KhBIiIiIiKiLmzcuBHz58/HggULAABarRb79u1DVlYW1q9fb1KfnZ0NPz8/aLVaAEBgYCDKysqwYcMGceBdq9Vi0qRJSEtLA9D2jemSkhJotVrs2LEDABAbG4vY2Nguz0+lUsHLy8vsvvPnzyMnJwf/+Mc/xEdSvPHGG/D19UVxcTEmT55s3cUgIiIiIiLqB5KTk5GcnGx2X25urklbVFQUKioqOu0zLi4OcXFxFvdHR0eLj/zqrhMnTlhVT0R9i0ajQWJiIsLCwhAeHo7NmzebrNB35swZbN++HUDbCn0ZGRnQaDRYuHAh9Ho9cnJyxLEooG2FvgkTJiA9PR3Tpk3Dnj17UFxcjIMHD4o1jY2N+Pbbb8Wf21foGzJkCPz8/NDS0oK4uDhUVFTgvffeg8FgEFfRGjJkCJydna/H5SEiui448YrIhgyAZEvtcS0CIrIlqfKKWUVEtiR1Vl24cMGoXaVSmV26vampCeXl5Vi2bJlRe0xMDA4dOmT2GHq9HjExMUZtkydPRk5ODpqbm6FUKqHX65GammpS0z5Zyxr79+/HsGHDMHjwYERFReHPf/4zhg0bBgAoLy9Hc3Oz0fn4+PggODgYhw4d4sQrIonxvoqI5IBjVkQkF7y3IiI5sGdWJSQk4Ny5c1izZg3q6uoQHBzcrRX6UlNT8corr8DHx8fiCn3PPfccVq5ciZEjR5pdoW/ixInizxqNBgAwd+5c5Obm4vTp09i7dy8AICQkxOicP/nkE0RHR1/DuyWinuB9le1w4hUREREREfVLvr6+Rj+vWrUKq1evNqlraGiAwWCAp6enUbunp6f4Tb2r1dfXm61vaWlBQ0MDvL29LdZY6tOS2NhYPPTQQ/D390dNTQ1WrlyJ3/3udygvL4dKpUJ9fT2cnZ1x44039vhYRERERERERETUu/TGFfqGDx9u9Qp+RERyxYlXRDYk5TNO+axUIrIlqfKKWUVEtiR1Vp06dQpubm5iu7nVrjpSKIy/DSQIgklbV/VXt1vbpzkJCQnin4ODgxEWFgZ/f3+8//77mDlzpsXXXcuxiKhrvK8iIjngmBURyQXvrYhIDphVRCQHzCrb4cQrIhsyCA4wSBQ8UvVDRGSOVHnFrCIiW5I6q9zc3IwmXlni4eEBR0dHk9Whzp49a7JiVTsvLy+z9U5OThg6dGinNZb67C5vb2/4+/vj+PHj4nGamprwww8/GK16dfbsWURERPToWERkivdVRCQHHLMiIrngvRURyQGziojkgFllO7wiREREREREnXB2doZarYZOpzNq1+l0FicuhYeHm9QXFRUhLCwMSqWy05qeToY6d+4cTp06BW9vbwCAWq2GUqk0OlZdXR2+/PJLTrwiIiIiIiIiIiIiIuoBTrwisiEBCrRKtAmw/jEwmZmZCAgIgIuLC9RqNQ4cONBpfUlJCdRqNVxcXDBixAhkZ2eb1OTn5yMoKAgqlQpBQUEoKCgw2r9+/XrccccdcHV1xbBhwzB9+nR8/fXXxtdFELB69Wr4+PhgwIABiI6OxtGjR61+f0QkHany6lqyioiou+yZVRqNBlu2bMHWrVtRXV2N1NRU1NbWIikpCQCQlpaGOXPmiPVJSUk4efIkNBoNqqursXXrVuTk5GDp0qVizZIlS1BUVIT09HQcO3YM6enpKC4uRkpKiljT2NiIqqoqVFVVAQBqampQVVWF2tpacf/SpUuh1+tx4sQJ7N+/H1OnToWHhwdmzJgBAHB3d8f8+fPx1FNP4aOPPkJlZSX+8Ic/YNSoUbj33nutvhZE1DneVxGRHNh7zIqIqLt4b0VEcsCsIiI5YFbZDideEdlQ+3J9Um3WyMvLQ0pKClasWIHKykpERkYiNjZW/CXd1WpqajBlyhRERkaisrISy5cvx+LFi5Gfny/W6PV6JCQkIDExEUeOHEFiYiLi4+Nx+PBhsaakpASLFi3Cp59+Cp1Oh5aWFsTExODixYtizYsvvoiNGzciIyMDn332Gby8vDBp0iT89NNPVl5hIpKKvbKKiMga9syqhIQEaLVarFmzBiEhISgtLUVhYSH8/f0BtK0g1fE+KyAgAIWFhdi/fz9CQkKwdu1abNq0CbNmzRJrIiIisHPnTmzbtg2jR49Gbm4u8vLyMG7cOLGmrKwMoaGhCA0NBdA2ASw0NBTPP/88AMDR0RFffPEFpk2bhltuuQVz587FLbfcAr1eD1dXV7Gfv//975g+fTri4+Mxfvx4DBw4EO+++y4cHR2tvhZE1DneVxGRHNhzzIqIyBrMKiKSA2YVEckBs8p2nOx9AkRkGxs3bsT8+fOxYMECAIBWq8W+ffuQlZWF9evXm9RnZ2fDz88PWq0WABAYGIiysjJs2LBB/AWhVqvFpEmTkJaWBqBtZYeSkhJotVrs2LEDAPDhhx8a9btt2zYMGzYM5eXlmDBhAgRBgFarxYoVKzBz5kwAwOuvvw5PT0+89dZbePzxx21yPYiIiIh6Kjk5GcnJyWb35ebmmrRFRUWhoqKi0z7j4uIQFxdncX90dDQEQbC4f8CAAdi3b1+nxwAAFxcXvPzyy3j55Ze7rCUiIiIiIiIiIiIiou7hVDQiG2oVFJJuAHDhwgWj7fLlyybHbWpqQnl5OWJiYozaY2JicOjQIbPnqtfrTeonT56MsrIyNDc3d1pjqU8AOH/+PABgyJAhANpW1qqvrzfqR6VSISoqqtN+iMi2pM4qIiJbYFYRkRwwq4hIDmwxZkVEZAvMKiKSA2YVEckBs8p2uOIVkQ0Z4ACDRPMb2/vx9fU1al+1ahVWr15t1NbQ0ACDwQBPT0+jdk9PT9TX15vtv76+3mx9S0sLGhoa4O3tbbHGUp+CIECj0eDuu+9GcHCweJz2113dz8mTJ832Q0S2J1VeSZV5RETmMKuISA6YVUQkB7YYsyIisgXeWxGRHDCriEgOmFW2w4lXRDJz6tQpuLm5iT+rVCqLtQqF8WxTQRBM2rqqv7rdmj6feOIJfP755zh48GCPz42IiIiIiIiIiIiIiIiIiIioN+HEKyIbknKpvfZ+3NzcjCZemePh4QFHR0eTlajOnj1rstJUOy8vL7P1Tk5OGDp0aKc15vp88sknsXfvXpSWluKmm24yOg7QtvKVt7d3t86NiGxPqrzi8qJEZEvMKiKSA2YVEcmBLcasiIhsgfdWRCQHzCoikgNmle1wDTCiPsjZ2RlqtRo6nc6oXafTISIiwuxrwsPDTeqLiooQFhYGpVLZaU3HPgVBwBNPPIFdu3bh448/RkBAgFF9QEAAvLy8jPppampCSUmJxXMjIiIiIiIiIiIiIiIiIiIi6m244hWRDbXCAa0SzW+0th+NRoPExESEhYUhPDwcmzdvRm1tLZKSkgAAaWlpOHPmDLZv3w4ASEpKQkZGBjQaDRYuXAi9Xo+cnBzs2LFD7HPJkiWYMGEC0tPTMW3aNOzZswfFxcVGjxJctGgR3nrrLezZsweurq7iClnu7u4YMGAAFAoFUlJSsG7dOtx88824+eabsW7dOgwcOBCzZ8/u6WUiomskVV5JlXlEROYwq4hIDphVRCQH9hyzIiKyBu+tiEgOmFVEJAfMKtvhFSGyIYOgkHSzRkJCArRaLdasWYOQkBCUlpaisLAQ/v7+AIC6ujrU1taK9QEBASgsLMT+/fsREhKCtWvXYtOmTZg1a5ZYExERgZ07d2Lbtm0YPXo0cnNzkZeXh3Hjxok1WVlZOH/+PKKjo+Ht7S1ueXl5Ys0zzzyDlJQUJCcnIywsDGfOnEFRURFcXV2v9VITUQ/ZK6uIiKzBrCIiObB3VmVmZiIgIAAuLi5Qq9U4cOBAp/UlJSVQq9VwcXHBiBEjkJ2dbVKTn5+PoKAgqFQqBAUFoaCgwGh/aWkppk6dCh8fHygUCuzevdukj3nz5kGhUBhtd911l1HN5cuX8eSTT8LDwwODBg3Cgw8+iNOnT1t/EYioS/YcsyIisgaziojkgFlFRHJg76zqjWNWzc3NePbZZzFq1CgMGjQIPj4+mDNnDr7//nur3hsnXhH1YcnJyThx4gQuX76M8vJyTJgwQdyXm5uL/fv3G9VHRUWhoqICly9fRk1Njbg6VkdxcXE4duwYmpqaUF1djZkzZxrtFwTB7DZv3jyxRqFQYPXq1airq8OlS5dQUlKC4OBgSd87ERERERFRf5OXl4eUlBSsWLEClZWViIyMRGxsrNGXbjqqqanBlClTEBkZicrKSixfvhyLFy9Gfn6+WKPX65GQkIDExEQcOXIEiYmJiI+Px+HDh8WaixcvYsyYMcjIyOj0/O677z7U1dWJW2FhodH+lJQUFBQUYOfOnTh48CAaGxvxwAMPwGAw9OCqEBERERERERGRPfXWMauff/4ZFRUVWLlyJSoqKrBr1y588803ePDBB616f3zUIJENtQoKtEo0O12qfoiIzJEqr5hVRGRLzCoikgN7ZtXGjRsxf/58LFiwAACg1Wqxb98+ZGVlYf369Sb12dnZ8PPzg1arBQAEBgairKwMGzZsEFc/1mq1mDRpEtLS0gC0Pba+pKQEWq1WfDR9bGwsYmNjuzw/lUoFLy8vs/vOnz+PnJwc/OMf/8C9994LAHjjjTfg6+uL4uJiTJ482bqLQUSd4pgVEckFPwcSkRwwq4hIDjhmZcrd3R06nc6o7eWXX8add96J2tpa+Pn5dev9ccUrIhsSBAe0SrQJAv+6EpHtSJVXzCoisiVmFRHJgdRZdeHCBaPt8uXLZo/b1NSE8vJyxMTEGLXHxMTg0KFDZl+j1+tN6idPnoyysjI0Nzd3WmOpz87s378fw4YNwy233IKFCxfi7Nmz4r7y8nI0NzcbHcvHxwfBwcHXdCwi6hzHrIhILvg5kIjkgFlFRHLAMavuOX/+PBQKBQYPHtzt1zC9iYiIiIiIiIh6KV9fX7i7u4ubuW8BAkBDQwMMBgM8PT2N2j09PVFfX2/2NfX19WbrW1pa0NDQ0GmNpT4tiY2NxZtvvomPP/4Yf/vb3/DZZ5/hd7/7nTgoV19fD2dnZ9x44409PhYREREREREREdlWXxmz6ujSpUtYtmwZZs+eDTc3t26/jhOviGzIAIWkGxGRrTCriEgOmFVEJAdSZ9WpU6dw/vx5cWtfPt0ShcI44wRBMGnrqv7qdmv7NCchIQH3338/goODMXXqVHzwwQf45ptv8P7773f6ums5FhF1zd5jVpmZmQgICICLiwvUajUOHDjQaX1JSQnUajVcXFwwYsQIZGdnm9Tk5+cjKCgIKpUKQUFBKCgoMNpfWlqKqVOnwsfHBwqFArt37zba39zcjGeffRajRo3CoEGD4OPjgzlz5uD777+3+v0RkXT4OZCI5IBZRURywDGrzjU3N+Phhx9Ga2srMjMzrXotJ14RERGR3dlj0H39+vW444474OrqimHDhmH69On4+uuvjWoEQcDq1avh4+ODAQMGIDo6GkePHu35GyYiIiLqJjc3N6NNpVKZrfPw8ICjo6PJt/rOnj1r8u2/dl5eXmbrnZycMHTo0E5rLPXZXd7e3vD398fx48fF4zQ1NeGHH36Q/FhE1Lvk5eUhJSUFK1asQGVlJSIjIxEbG4va2lqz9TU1NZgyZQoiIyNRWVmJ5cuXY/HixcjPzxdr9Ho9EhISkJiYiCNHjiAxMRHx8fE4fPiwWHPx4kWMGTMGGRkZZo/z888/o6KiAitXrkRFRQV27dqFb775Bg8++KC0F4CIiIiIiKgP6EtjVs3NzYiPj0dNTQ10Op1Vq10BnHhFZFOtAtAqKCTa7P1uiKgvky6vrD+2vQbdS0pKsGjRInz66afQ6XRoaWlBTEwMLl68KNa8+OKL2LhxIzIyMvDZZ5/By8sLkyZNwk8//WT9GyWiHrNnVhERdZe9ssrZ2RlqtRo6nc6oXafTISIiwuxrwsPDTeqLiooQFhYGpVLZaY2lPrvr3LlzOHXqFLy9vQEAarUaSqXS6Fh1dXX48ssve3wsIjJlzzGrjRs3Yv78+ViwYAECAwOh1Wrh6+uLrKwss/XZ2dnw8/ODVqtFYGAgFixYgMceewwbNmwQa7RaLSZNmoS0tDTcdtttSEtLwz333AOtVivWxMbG4oUXXsDMmTPNHsfd3R06nQ7x8fG49dZbcdddd+Hll19GeXm5xc+nRGR7/BxIRHLArCIiOeCYlXntk66OHz+O4uJicWKXNZysfgURdVur4IBWQZr5jVL1Q0RkjlR5dS19dBx0B9oGzPft24esrCyzz4PuOOgOAIGBgSgrK8OGDRswa9YssY/2QXcASEtLQ0lJCbRaLXbs2AEA+PDDD4363bZtG4YNG4by8nJMmDABgiBAq9VixYoV4sD866+/Dk9PT7z11lt4/PHHrX6vRNQz9swqIqLusmdWaTQaJCYmIiwsDOHh4di8eTNqa2uRlJQEoO2e6MyZM9i+fTsAICkpCRkZGdBoNFi4cCH0ej1ycnLE+yUAWLJkCSZMmID09HRMmzYNe/bsQXFxMQ4ePCjWNDY24ttvvxV/rqmpQVVVFYYMGQI/Pz80NjZi9erVmDVrFry9vXHixAksX74cHh4emDFjBoC2CQ/z58/HU089haFDh2LIkCFYunQpRo0ahXvvvfeariERWWavMaumpiaUl5dj2bJlRu0xMTE4dOiQ2dfo9XrExMQYtU2ePBk5OTlobm6GUqmEXq9HamqqSU3HiVfX4vz581AoFBg8eHCP+iGia8fPgUQkB8wqIpIDjlmZjlm1tLQgLi4OFRUVeO+992AwGMRVtIYMGQJnZ+duvT/Zpvf69euhUCiQkpJi71MhIrKIWUX91YULF4y2y5cvm61rH3S/ehD9Wgbdy8rK0Nzc3GmNpT6BtgF1oO1GCmi7+aqvrzfqR6VSISoqqtN+5IhZRURywbwi6lxCQgK0Wi3WrFmDkJAQlJaWorCwEP7+/gDaVpDquGpLQEAACgsLsX//foSEhGDt2rXYtGmTOJkdACIiIrBz505s27YNo0ePRm5uLvLy8jBu3DixpqysDKGhoQgNDQXQNpgWGhqK559/HgDg6OiIL774AtOmTcMtt9yCuXPn4pZbboFer4erq6vYz9///ndMnz4d8fHxGD9+PAYOHIh3330Xjo6ONr1uUmNWUX/Vnc+BDQ0NMBgMJo9+8PT0NHlERLv6+nqz9S0tLWhoaOi0xlKf3XHp0iUsW7YMs2fPtvoxE3LArCIiOWBWEZFcMK+IOtdbx6xOnz6NvXv34vTp0wgJCYG3t7e4WfO7QFmuePXZZ59h8+bNGD16tL1PhahTrVCgFQrJ+iJ5YVaRnEiVV+19+Pr6GrWvWrUKq1evNqm3xaC7t7e31YPugiBAo9Hg7rvvRnBwsHic9tdd3c/JkyfN9iNHzCqSE6mziuSFeUVyYe+sSk5ORnJystl9ubm5Jm1RUVGoqKjotM+4uDjExcVZ3B8dHQ1BsLzO/IABA7Bv375OjwEALi4uePnll/Hyyy93WdtbMatILmwxZtXdz4EAoFAYH1sQBJO2ruqvbre2z840Nzfj4YcfRmtrKzIzM6+pj96MWUVyYu97K7IfZhXJCbOqf2NekVzYO6t645jV8OHDO93fXbJb8aqxsRGPPPIIXnvtNdx44432Ph2iThkEhaQbyQeziuRG6qw6deoUzp8/L27tj/yzxN6D7k888QQ+//xzoyVKr/Xc5IRZRXLD+6r+i3lFcsKs6r+YVSQnthiz6s7nQA8PDzg6Opp8Kebs2bMmX3pp5+XlZbbeyckJQ4cO7bTGUp+daW5uRnx8PGpqaqDT6frcalfMKpIb3lv1T8wqkhtmVf/FvCI5YVbZjuwmXi1atAj3338/7r333i5rL1++bLLENRHR9cCsov7Ozc3NaFOpVGbresOg+5NPPom9e/fik08+wU033WR0HACSDd73RswqIpKL7uYVs4qI7In3VtTfdedzoLOzM9RqNXQ6nVG7TqdDRESE2X7Dw8NN6ouKihAWFgalUtlpjaU+LWmfdHX8+HEUFxeLnzH7EmYVEckBs4qI5IJjVkQEyOxRgzt37kRFRQU+++yzbtWvX78ef/rTn2x8VkSWtQoOaBWkmd8oVT9ke8wqkiOp8sraPjoOus+YMUNs1+l0mDZtmtnXhIeH49133zVqszTonpqaalTTcdBdEAQ8+eSTKCgowP79+xEQEGDUZ0BAALy8vKDT6cRnPzc1NaGkpATp6elWvc/eiFlFcmSvrCL7siavmFXUGzCr+ifeW5Hc2HPMSqPRIDExEWFhYQgPD8fmzZtRW1uLpKQkAEBaWhrOnDmD7du3AwCSkpKQkZEBjUaDhQsXQq/XIycnx2jF4iVLlmDChAlIT0/HtGnTsGfPHhQXF+PgwYNiTWNjI7799lvx55qaGlRVVWHIkCHw8/NDS0sL4uLiUFFRgffeew8Gg0H8Is6QIUPg7Ox8zdeot2BWkRzx3qr/YVaRHDGr+ieOWZHcMKtsRzZX5NSpU1iyZAneeOMNuLi4dOs1aWlpRstbnzp1ysZnSUT9HbOKyHoajQZbtmzB1q1bUV1djdTUVJNB9zlz5oj1SUlJOHnyJDQaDaqrq7F161bk5ORg6dKlYs2SJUtQVFSE9PR0HDt2DOnp6SguLkZKSopYs2jRIrzxxht466234Orqivr6etTX1+OXX34B0PaIwZSUFKxbtw4FBQX48ssvMW/ePAwcOBCzZ8++PhfHRphVRCQX1uYVs4qI7IH3VkTWSUhIgFarxZo1axASEoLS0lIUFhbC398fAFBXV4fa2lqxPiAgAIWFhdi/fz9CQkKwdu1abNq0CbNmzRJrIiIisHPnTmzbtg2jR49Gbm4u8vLyMG7cOLGmrKwMoaGh4hdrNBoNQkND8fzzzwMATp8+jb179+L06dMICQmBt7e3uB06dOh6XBqbYlYRkRwwq4hILjhmRUQdyWbFq/Lycpw9exZqtVpsMxgMKC0tRUZGBi5fvgxHR0ej16hUKouPNiK6HlqhQKtEzzhtBZ+VKgfMKpIrqfLqWrIqISEB586dw5o1a1BXV4fg4OBuDbqnpqbilVdegY+Pj8VB9+eeew4rV67EyJEjTQbds7KyAADR0dFG57Nt2zbMmzcPAPDMM8/gl19+QXJyMn744QeMGzcORUVFcHV1tfp99ibMKpIre2YV2Ye1ecWsot6AWdX/8N6K5MjeY1bJyclITk42uy83N9ekLSoqChUVFZ32GRcXh7i4OIv7o6OjIQiCxf3Dhw/vdL/cMatIrnhv1b8wq0iumFX9D8esSI6YVbYjm4lX99xzD7744gujtkcffRS33XYbnn32WZMbLaLeQIBCsuARGGCywKwiuZIqr641q+wx6N6dAXWFQoHVq1dj9erVXdbKCbOK5MreWUXXH/OK5IhZ1f8wq0iOOGbV/zCrSK54b9W/MKtIrphV/Q/ziuSIWWU7spl45erqiuDgYKO2QYMGYejQoSbtRET2wqwiIjlgVhGRXDCviEgOmFVEJAfMKiKSA2YVEckF84qIOpLNxCsiOWoVJFy2XaJ+iIjMkSqvmFVEZEvMKiKSA2YVEckBx6yISC54b0VEcsCsIiI5YFbZjqwnXu3fv9/ep0DUqVbBAa2Cg2R9kTwxq0gOpMorZpV8MatIDphVBDCvqPdjVhHArKLej2NWBDCrSB54b0XMKpIDZhUBzCvq/ZhVtsMrQkREREREREREREREREREREREZCVZr3hF1Ntx2XYikgsuL0pEcsCsIiI5YFYRkRxwzIqI5IL3VkQkB8wqIpIDZpXtcOIVkQ21QoFWSDSIJVE/RETmSJVXzCoisiVmFRHJAbOKiOSAY1ZEJBe8tyIiOWBWEZEcMKtsh48aJCIiIiIiIiIiIiIiIiIiIiIishInXhHZUPtyfVJtRES2wqwiIjlgVhGRHDCriEgOOGZFRHJhz6zKzMxEQEAAXFxcoFarceDAgU7rS0pKoFar4eLighEjRiA7O9ukJj8/H0FBQVCpVAgKCkJBQYHR/tLSUkydOhU+Pj5QKBTYvXu30f7m5mY8++yzGDVqFAYNGgQfHx/MmTMH33//vdXvj4ikw/sqIpIDZpXtcOIVERERERERERERERER0RV5eXlISUnBihUrUFlZicjISMTGxqK2ttZsfU1NDaZMmYLIyEhUVlZi+fLlWLx4MfLz88UavV6PhIQEJCYm4siRI0hMTER8fDwOHz4s1ly8eBFjxoxBRkaG2eP8/PPPqKiowMqVK1FRUYFdu3bhm2++wYMPPijtBSAiIiKibnOy9wkQ9WVSzvjkzFEisiWp8opZRUS2xKwiIjlgVhGRHHDMiojkwl73Vhs3bsT8+fOxYMECAIBWq8W+ffuQlZWF9evXm9RnZ2fDz88PWq0WABAYGIiysjJs2LABs2bNEvuYNGkS0tLSAABpaWkoKSmBVqvFjh07AACxsbGIjY21eF7u7u7Q6XRGbS+//DLuvPNO1NbWws/Pz6r3SUTS4OdAIpIDZpXtcOIVkQ1xEIuI5II3W0QkB8wqIpIDZhURyQHHrIhILqS+t7pw4YJRu0qlgkqlMmprampCeXk5li1bZtQeExODQ4cOme1fr9cjJibGqG3y5MnIyclBc3MzlEol9Ho9UlNTTWraJ2tdq/Pnz0OhUGDw4ME96oeIrh0/BxKRHDCrbIePGiQiIiIiIiIiIiIiIqI+z9fXF+7u7uJmbvWqhoYGGAwGeHp6GrV7enqivr7ebL/19fVm61taWtDQ0NBpjaU+u+PSpUtYtmwZZs+eDTc3t2vuh4iIiIiuHVe8IrIhfnuQiOSCs9yJSA6YVUQkB8wqIpIDjlkRkVxIfW916tQpowlKV6921ZFCYXxcQRBM2rqqv7rd2j4709zcjIcffhitra3IzMy8pj6ISBr8HEhEcsCssh1OvCKyIQFAK6QJHkGSXoiIzJMqr5hVRGRLzCoikgNmFRHJAcesiEgupL63cnNz63JlKA8PDzg6OpqsRHX27FmTFavaeXl5ma13cnLC0KFDO62x1GdnmpubER8fj5qaGnz88cdc7YrIzvg5kIjkgFllO3zUIBEREREREREREREREREAZ2dnqNVq6HQ6o3adToeIiAizrwkPDzepLyoqQlhYGJRKZac1lvq0pH3S1fHjx1FcXCxO7CIiIiIi++CKV0Q2xGXbiUguuLwoEckBs4qI5IBZRURywDErIpILe91baTQaJCYmIiwsDOHh4di8eTNqa2uRlJQEAEhLS8OZM2ewfft2AEBSUhIyMjKg0WiwcOFC6PV65OTkYMeOHWKfS5YswYQJE5Ceno5p06Zhz549KC4uxsGDB8WaxsZGfPvtt+LPNTU1qKqqwpAhQ+Dn54eWlhbExcWhoqIC7733HgwGg7iK1pAhQ+Ds7HzN14iIrh0/BxKRHDCrbIcrXhERERERERERERERERFdkZCQAK1WizVr1iAkJASlpaUoLCyEv78/AKCurg61tbVifUBAAAoLC7F//36EhIRg7dq12LRpE2bNmiXWREREYOfOndi2bRtGjx6N3Nxc5OXlYdy4cWJNWVkZQkNDERoaCqBtAlhoaCief/55AMDp06exd+9enD59GiEhIfD29ha3Q4cOXY9LQ0S9UGZmJgICAuDi4gK1Wo0DBw50Wl9SUgK1Wg0XFxeMGDEC2dnZJjX5+fkICgqCSqVCUFAQCgoKjPaXlpZi6tSp8PHxgUKhwO7du036EAQBq1evho+PDwYMGIDo6GgcPXq0R++ViKg34opXRDbEbw8SkVxwljsRyQGziojkgFlFRHLAMSsikgt73lslJycjOTnZ7L7c3FyTtqioKFRUVHTaZ1xcHOLi4izuj46OhiAIFvcPHz680/1EZB/2zKq8vDykpKQgMzMT48ePx6uvvorY2Fh89dVX8PPzM6mvqanBlClTsHDhQrzxxhv45z//ieTkZPzmN78RJ4vq9XokJCRg7dq1mDFjBgoKChAfH4+DBw+Kk0UvXryIMWPG4NFHHzWaZNrRiy++iI0bNyI3Nxe33HILXnjhBUyaNAlff/01XF1drX6vRNQzHLOyHU68IrIhDmIRkVzwZouI5IBZRURywKwiIjngmBURyQXvrYhIDuyZVRs3bsT8+fOxYMECAIBWq8W+ffuQlZWF9evXm9RnZ2fDz88PWq0WABAYGIiysjJs2LBBnECl1WoxadIkpKWlAWh7vGpJSQm0Wq34CNXY2FjExsZaPC9BEKDVarFixQrMnDkTAPD666/D09MTb731Fh5//HGr3ysR9Qzvq2yHjxokIiIiIiIiIiIiIiIiIiKSkaamJpSXlyMmJsaoPSYmxuLjR/V6vUn95MmTUVZWhubm5k5rrHmkaU1NDerr6436UalUiIqK4qNRiajP4YpXRDbEbw8SkVxwljsRyQGziojkgFlFRHLAMSsikgveWxGRHEidVRcuXDBqV6lUUKlUJvUNDQ0wGAzw9PQ0avf09ER9fb3ZY9TX15utb2lpQUNDA7y9vS3WWOrT0nHaX3d1PydPnux2P0QkHd5X2Q5XvCKyIUFQSLoREdkKs4qI5MDeWZWZmYmAgAC4uLhArVbjwIEDndaXlJRArVbDxcUFI0aMQHZ2tklNfn4+goKCoFKpEBQUhIKCAqP9paWlmDp1Knx8fKBQKLB7926j/c3NzXj22WcxatQoDBo0CD4+PpgzZw6+//57o7ro6GgoFAqj7eGHH76m60BEnbN3VhERdQfHrIhILphVRCQHUmeVr68v3N3dxc3cIwM7UiiMM04QBJO2ruqvbre2T6nOjYhsh/dVtsOJV0RERERERF3Iy8tDSkoKVqxYgcrKSkRGRiI2Nha1tbVm62tqajBlyhRERkaisrISy5cvx+LFi5Gfny/W6PV6JCQkIDExEUeOHEFiYiLi4+Nx+PBhsebixYsYM2YMMjIyzB7n559/RkVFBVauXImKigrs2rUL33zzDR588EGT2oULF6Kurk7cXn311R5eFSIiIiIiIiIiktqpU6dw/vx5cUtLSzNb5+HhAUdHR5OVqM6ePWuy0lQ7Ly8vs/VOTk4YOnRopzWW+rR0HAA97oeISA74qEEiG2qFAq2QaNl2ifohIjJHqrxiVhGRLdkzqzZu3Ij58+djwYIFAACtVot9+/YhKyvL7LcOs7Oz4efnB61WCwAIDAxEWVkZNmzYgFmzZol9TJo0SRw8S0tLQ0lJCbRaLXbs2AEAiI2NRWxsrMXzcnd3h06nM2p7+eWXceedd6K2thZ+fn5i+8CBA8VBLyKyHd5XEZEccMyKiOSC91ZEJAdSZ5Wbmxvc3Ny6rHd2doZarYZOp8OMGTPEdp1Oh2nTppl9TXh4ON59912jtqKiIoSFhUGpVIo1Op0OqampRjURERHdfi8BAQHw8vKCTqdDaGgoAKCpqQklJSVIT0/vdj9EJB3eV9kOV7wiIiIiIiLqRFNTE8rLyxETE2PUHhMTg0OHDpl9jV6vN6mfPHkyysrK0Nzc3GmNpT676/z581AoFBg8eLBR+5tvvgkPDw/cfvvtWLp0KX766aceHYeIiIiIiIiIiOxLo9Fgy5Yt2Lp1K6qrq5Gamora2lokJSUBaPui35w5c8T6pKQknDx5EhqNBtXV1di6dStycnKwdOlSsWbJkiUoKipCeno6jh07hvT0dBQXFyMlJUWsaWxsRFVVFaqqqgC0rf5eVVUlrg6vUCiQkpKCdevWoaCgAF9++SXmzZuHgQMHYvbs2ba/MERE1xFXvCKyoVZBgVaJnnEqVT9EROZIlVfMKiKyJamz6sKFC0btKpUKKpXKpL6hoQEGg8FkGXRPT0+T5dLb1dfXm61vaWlBQ0MDvL29LdZY6rM7Ll26hGXLlmH27NlG34x85JFHxG8afvnll0hLS8ORI0dMVssiop7jfRURyQHHrIhILnhvRURyYM+sSkhIwLlz57BmzRrU1dUhODgYhYWF8Pf3BwDU1dWJk6GAtpWoCgsLkZqaildeeQU+Pj7YtGmTuEI7AERERGDnzp147rnnsHLlSowcORJ5eXkYN26cWFNWVoaJEyeKP2s0GgDA3LlzkZubCwB45pln8MsvvyA5ORk//PADxo0bh6KiIri6ulr9Pomo53hfZTuceEVkQ4KggCBR8EjVDxGROVLlFbOKiGxJ6qzy9fU1al+1ahVWr15t8XUKhfGxBUEwaeuq/up2a/vsTHNzMx5++GG0trYiMzPTaN/ChQvFPwcHB+Pmm29GWFgYKioqMHbs2Gs6HhGZx/sqIpIDjlkRkVzw3oqI5MDeWZWcnIzk5GSz+9onQXUUFRWFioqKTvuMi4tDXFycxf3R0dHiWJclCoUCq1ev7nS8jYiuH3tnVV/GiVdERERERNQvnTp1ymhVKHOrXQGAh4cHHB0dTVaiOnv2rMmKVe28vLzM1js5OWHo0KGd1ljqszPNzc2Ij49HTU0NPv74Y6P3Zc7YsWOhVCpx/PhxTrwiIiIiIiIiIiIiIrpGDvY+AaK+rH25Pqk2IiJbYVYRkRxInVVubm5Gm6WJV87OzlCr1SaP5dPpdIiIiDD7mvDwcJP6oqIihIWFQalUdlpjqU9L2iddHT9+HMXFxeLErs4cPXoUzc3N8Pb2tupYRNQ13lcRkRxwzIqI5IJZRURywKwiIjlgVtkOV7wisiEu205EcsHlRYlIDuyZVRqNBomJiQgLC0N4eDg2b96M2tpaJCUlAQDS0tJw5swZbN++HQCQlJSEjIwMaDQaLFy4EHq9Hjk5OdixY4fY55IlSzBhwgSkp6dj2rRp2LNnD4qLi3Hw4EGxprGxEd9++634c01NDaqqqjBkyBD4+fmhpaUFcXFxqKiowHvvvQeDwSCuojVkyBA4Ozvju+++w5tvvokpU6bAw8MDX331FZ566imEhoZi/Pjx13QNicgy3lcRkRxwzIqI5IL3VkQkB8wqIpIDZpXtcOIVERERERFRFxISEnDu3DmsWbMGdXV1CA4ORmFhIfz9/QEAdXV1qK2tFesDAgJQWFiI1NRUvPLKK/Dx8cGmTZswa9YssSYiIgI7d+7Ec889h5UrV2LkyJHIy8vDuHHjxJqysjJMnDhR/Fmj0QAA5s6di9zcXJw+fRp79+4FAISEhBid8yeffILo6Gg4Ozvjo48+wksvvYTGxkb4+vri/vvvx6pVq+Do6Cj5tSIiIiIiIiIiIiIi6i848YrIhgQJl9rjzFEisiWp8opZRUS2ZO+sSk5ORnJystl9ubm5Jm1RUVGoqKjotM+4uDjExcVZ3B8dHQ1BECzuHz58eKf7AcDX1xclJSWd1hCRdOydVURE3cExKyKSC95bEZEcMKuISA6YVbbDiVdENiQA6OL3YFb1RURkK1LlFbOKiGyJWUVEcsCsIiI54JgVEckF762ISA6YVUQkB8wq23Gw9wkQERERERERERERERERERERERHJDVe8IrKhViiggDRL7bVK1A8RkTlS5RWziohsiVlFRHLArCIiOeCYFRHJBe+tiEgOmFVEJAfMKtvhildERERERERERERERERERERERGQTmZmZCAgIgIuLC9RqNQ4cONBpfUlJCdRqNVxcXDBixAhkZ2eb1OTn5yMoKAgqlQpBQUEoKCgw2l9aWoqpU6fCx8cHCoUCu3fvNulDEASsXr0aPj4+GDBgAKKjo3H06FGr3hsnXhHZkCAoJN2IiGyFWUVEcsCsIiI5sHdW9cZBrObmZjz77LMYNWoUBg0aBB8fH8yZMwfff/+9UV10dDQUCoXR9vDDD1/TdSCiznHMiojkgllFRHLArCIiObBnVuXl5SElJQUrVqxAZWUlIiMjERsbi9raWrP1NTU1mDJlCiIjI1FZWYnly5dj8eLFyM/PF2v0ej0SEhKQmJiII0eOIDExEfHx8Th8+LBYc/HiRYwZMwYZGRkWz+3FF1/Exo0bkZGRgc8++wxeXl6YNGkSfvrpp26/P068IrKhVkEh6UZEZCvMKiKSA2YVEcmBPbOqtw5i/fzzz6ioqMDKlStRUVGBXbt24ZtvvsGDDz5oUrtw4ULU1dWJ26uvvmr1dSCirnHMiojkgllFRHLArCIiObBnVm3cuBHz58/HggULEBgYCK1WC19fX2RlZZmtz87Ohp+fH7RaLQIDA7FgwQI89thj2LBhg1ij1WoxadIkpKWl4bbbbkNaWhruueceaLVasSY2NhYvvPACZs6cafY4giBAq9VixYoVmDlzJoKDg/H666/j559/xltvvdXt98eJV0REREREREREfUBvHcRyd3eHTqdDfHw8br31Vtx11114+eWXUV5ebjIpbODAgfDy8hI3d3f3nl8YIiIiIiIiIiKyi6amJpSXlyMmJsaoPSYmBocOHTL7Gr1eb1I/efJklJWVobm5udMaS32aU1NTg/r6eqN+VCoVoqKirOqHE6+IbEgQpN2IiGyFWUVEcsCsIiI5kDqrLly4YLRdvnzZ7HF78yCWOefPn4dCocDgwYON2t988014eHjg9ttvx9KlS61a1p2Iuo9jVkQkF8wqIpIDZhURyYG9xqwaGhpgMBjg6elp1O7p6Yn6+nqzr6mvrzdb39LSgoaGhk5rLPVp6Tjtr+tJP5x4RWRDUj4nlc91JiJbYlYRkRwwq4hIDqTOKl9fX7i7u4vb+vXrzR63Nw9iXe3SpUtYtmwZZs+eDTc3N7H9kUcewY4dO7B//36sXLkS+fn5FlfRIqKesfeYVWZmJgICAuDi4gK1Wo0DBw50Wl9SUgK1Wg0XFxeMGDEC2dnZJjX5+fkICgqCSqVCUFAQCgoKjPaXlpZi6tSp8PHxgUKhwO7du81cFwGrV6+Gj48PBgwYgOjoaBw9etTq90dE0uHnQCKSA2YVEcmBvcas2ikUxhknCIJJW1f1V7db26dU53Y1J6uPSERERERERERE18WpU6eMJiepVKpO63vzIBYANDc34+GHH0ZraysyMzON9i1cuFD8c3BwMG6++WaEhYWhoqICY8eOvabjEVHvk5eXh5SUFGRmZmL8+PF49dVXERsbi6+++gp+fn4m9TU1NZgyZQoWLlyIN954A//85z+RnJyM3/zmN5g1axaAttX5EhISsHbtWsyYMQMFBQWIj4/HwYMHMW7cOADAxYsXMWbMGDz66KPi66724osvYuPGjcjNzcUtt9yCF154AZMmTcLXX38NV1dX210UIiIiIiIimenumJWHhwccHR1NvsR39uxZky/7tfPy8jJb7+TkhKFDh3ZaY6lPS8cB2r546O3tfc39cMUrIhuy97cHiYi6i1lFRHLArCIiOZA6q9zc3Iw2OQ5itWtubkZ8fDxqamqg0+mMBufMGTt2LJRKJY4fP271sYioc/Ycs9q4cSPmz5+PBQsWIDAwEFqtFr6+vsjKyjJbn52dDT8/P2i1WgQGBmLBggV47LHHsGHDBrFGq9Vi0qRJSEtLw2233Ya0tDTcc8890Gq1Yk1sbCxeeOEFiyvpCYIArVaLFStWYObMmQgODsbrr7+On3/+GW+99ZZV75GIpMPPgUQkB8wqIpIDe41ZOTs7Q61WQ6fTGbXrdDpERESYfU14eLhJfVFREcLCwqBUKjutsdSnOQEBAfDy8jLqp6mpCSUlJVb1I5uJV+vXr8cdd9wBV1dXDBs2DNOnT8fXX39t79MiIjLCrCIiuWBeEZEcMKuIuq83D2IBv066On78OIqLi8WJXZ05evQompubjb5x2Bsxq4jaXLhwwWi7fPmySU1TUxPKy8sRExNj1B4TE4NDhw6Z7Vev15vUT548GWVlZWhubu60xlKf5tTU1KC+vt6oH5VKhaioKKv66a2YVUQkF8wrIpIDZhWRdTQaDbZs2YKtW7eiuroaqampqK2tRVJSEgAgLS0Nc+bMEeuTkpJw8uRJaDQaVFdXY+vWrcjJycHSpUvFmiVLlqCoqAjp6ek4duwY0tPTUVxcjJSUFLGmsbERVVVVqKqqAtD2ua+qqgq1tbUA2lZ5T0lJwbp161BQUIAvv/wS8+bNw8CBAzF79uxuvz/ZTLwqKSnBokWL8Omnn0Kn06GlpQUxMTG4ePGivU+NyKJWQSHpRr0fs4rkilnV/zCvSI6YVf0Ps4rkyJ5Z1VsHsVpaWhAXF4eysjK8+eabMBgMqK+vR319PZqamgAA3333HdasWYOysjKcOHEChYWFeOihhxAaGorx48dbfS2uJ2YVyZEtxqx8fX3h7u4ubuvXrzc5bkNDAwwGg8mqeZ6eniar67Wrr683W9/S0oKGhoZOayz1aek47a/rST+9FbOK5IqfA/sf5hXJEbOq/2FWkRzZM6sSEhKg1WqxZs0ahISEoLS0FIWFhfD39wcA1NXVieNIQNtKVIWFhdi/fz9CQkKwdu1abNq0yeix8REREdi5cye2bduG0aNHIzc3F3l5eeLj5gGgrKwMoaGhCA0NBdA2dhYaGornn39erHnmmWeQkpKC5ORkhIWF4cyZMygqKrLqcfNOVl8RO/nwww+Nft62bRuGDRuG8vJyTJgwwU5nRdQ5QWjbpOqLej9mFcmVVHnFrJIP5hXJEbOq/2FWkRzZM6sSEhJw7tw5rFmzBnV1dQgODu7WIFZqaipeeeUV+Pj4WBzEeu6557By5UqMHDnS7CDWxIkTxZ81Gg0AYO7cucjNzcXp06exd+9eAEBISIjROX/yySeIjo6Gs7MzPvroI7z00ktobGyEr68v7r//fqxatQqOjo7WX4zriFlFcmSLMatTp04ZPULU0mMmgLZvFRv3IZi0dVV/dbu1fUp1bnLBrCK54ufA/od5RXLErOp/mFUkR/bOquTkZCQnJ5vdl5uba9IWFRWFioqKTvuMi4tDXFycxf3R0dHi50dLFAoFVq9ejdWrV3da1xnZTLy62vnz5wEAQ4YMsVhz+fJloyWtL1y4YPPzIiLqiFlFRHLRVV4xq4ioN2BWEXWtNw5iDR8+vMtBLl9fX5SUlHRaIxf8HEj9lZubm9HEK3M8PDzg6OhosoLU2bNnTVaaaufl5WW23snJSXxsqaUaS31aOg7QtvJVx0ecWtuPXDCriEgu+DmQiOSAWUXUv8nmUYMdCYIAjUaDu+++G8HBwRbr1q9fb7S8ta+v73U8S6L2WaMKiTZ7vxuyFrOK5ES6vLL3O6Fr0Z28YlZRb8Cs6t+YVSQXzKr+jZ8DSS7sNWbl7OwMtVoNnU5n1K7T6RAREWH2NeHh4Sb1RUVFCAsLg1Kp7LTGUp/mBAQEwMvLy6ifpqYmlJSUWNWPHDCrSE54b9W/8XMgyQWzqn9jVpFcMKtsR5YTr5544gl8/vnn2LFjR6d1aWlpOH/+vLidOnXqOp0hURvpBrDaNpIXZhXJCbOqf+tOXjGrqDdgVvVvzCqSC2ZV/8bPgSQX9hyz0mg02LJlC7Zu3Yrq6mqkpqaitrYWSUlJANr+fsyZM0esT0pKwsmTJ6HRaFBdXY2tW7ciJycHS5cuFWuWLFmCoqIipKen49ixY0hPT0dxcTFSUlLEmsbGRlRVVaGqqgoAUFNTg6qqKvERrAqFAikpKVi3bh0KCgrw5ZdfYt68eRg4cCBmz559jVe6d2JWkZzw3qp/4+dAkgtmVf/GrCK5YFbZjuweNfjkk09i7969KC0txU033dRprUqlgkqluk5nRkT0K2YVEclFd/OKWUVE9sSsIiI54OdAou5JSEjAuXPnsGbNGtTV1SE4OBiFhYXw9/cHANTV1YmToYC2lagKCwuRmpqKV155BT4+Pti0aRNmzZol1kRERGDnzp147rnnsHLlSowcORJ5eXkYN26cWFNWVoaJEyeKP2s0GgDA3LlzxUexPvPMM/jll1+QnJyMH374AePGjUNRURFcXV1teUmuK2YVEckFPwcSkRwwq4gIkNHEK0EQ8OSTT6KgoAD79+9HQECAvU+JqEvClU2qvqj3Y1aRXEmVV8wq+WBekRwxq/ofZhXJEbOq/2FWkRzZe8wqOTkZycnJZve1T4LqKCoqChUVFZ32GRcXh7i4OIv7o6OjIXTxTAyFQoHVq1dj9erVndbJEbOK5Ir3Vv0P84rkiFnV/zCrSI6YVbYjm4lXixYtwltvvYU9e/bA1dUV9fX1AAB3d3cMGDDAzmdHRNSGWUVEcsG8IiI5YFYRkRwwq4hIDphVRCQXzCsikgNmFRF1JJuJV1lZWQDavpnU0bZt2zBv3rzrf0JE3SDlM075rFR5YFaRXEmVV8wq+WBekRwxq/ofZhXJEbOq/2FWkRxxzKr/YVaRXPHeqv9hXvWAQgF0sbpjr+q3D2FW9T/MKpIjZpXtyGbiVVfLQBP1SvZet52uO2YVyRbXF+13mFckS8yqfodZRbLErOp3mFUkSxyz6neYVSRbvLfqd5hX10ChMP/nnlxLhcL8z/z3Yx6zqt9hVl2Dq3MFkCZTbNVvX8SsshnZTLwiIiIiIiIiIiIiIiIiIur3jCZbOVgoam37hzUTENr77apPa/slov6r01y5hpyydb9E18DS/zWJSApXluuTYsM1LNmXmZmJgIAAuLi4QK1W48CBA53Wl5SUQK1Ww8XFBSNGjEB2drZJTX5+PoKCgqBSqRAUFISCggKj/aWlpZg6dSp8fHygUCiwe/dukz7mzZsHhUJhtN11111Wvz8ikpAds4qIqNuYVUQkB8wqIpIDO49ZERF1G7OKyDKFAxSOjlA4KNr+2b45KKBwUPw6GUGhML8ijFFfCqNJDO19mPTr6NjJpKx+jFlFZJ7iShZ1zJUOm1FOWdsv0Hm/Cgfr++3rmFU2w/8zEtmQIEi7WSMvLw8pKSlYsWIFKisrERkZidjYWNTW1pqtr6mpwZQpUxAZGYnKykosX74cixcvRn5+vlij1+uRkJCAxMREHDlyBImJiYiPj8fhw4fFmosXL2LMmDHIyMjo9Pzuu+8+1NXViVthYaF1b5CIJGWvrCIisgaziojkgFlFRHJgzzErIiJr2DOreusXmwVBwOrVq+Hj44MBAwYgOjoaR48etf4NknyZPAbwyq97Hcys/mLtJClzrzXXr7nz6Md4X0VkRoeMMJ4M5dCznDL3uqv6Vjh0yCdmlYhZZTuceEXUR23cuBHz58/HggULEBgYCK1WC19fX2RlZZmtz87Ohp+fH7RaLQIDA7FgwQI89thj2LBhg1ij1WoxadIkpKWl4bbbbkNaWhruueceaLVasSY2NhYvvPACZs6c2en5qVQqeHl5iduQIUMked9EREREREREJAPtqyp0ZwWG3tQ3EfU/tswS5lSv1Zu/2Pziiy9i48aNyMjIwGeffQYvLy9MmjQJP/30k3QXgHq/9okFjo5QODpAoXRqW5VK6QSFo8OVdseuV74yt9KVo2Pn/Xbsk4ioM1dnlZgrZnKqu/dEV1bRMp9XDswqsgv+l0ZkQ1It2S4u2wfgwoULRtvly5dNjtvU1ITy8nLExMQYtcfExODQoUNmz1Wv15vUT548GWVlZWhubu60xlKfndm/fz+GDRuGW265BQsXLsTZs2et7oOIpCN1VhER2QKziojkgFlF1IWrfrln9AiInkxAMJpsddW3qDmxwYQtxqyI+pSrM0mKnDLX99U5xawyYa+s6q1fbBYEAVqtFitWrMDMmTMRHByM119/HT///DPeeustq94jyVT7hANHRyicnKBwdobCRQWFSgXFAJe2f7qo2to7TGwwe2901T2Z0QSGzvp1curQJ3ML4OdAIhOWsqo9V9rzROlkPEmqW49F7TCZS3lVDrowqzrDrLIdTrwisiVBIe0GwNfXF+7u7uK2fv16k8M2NDTAYDDA09PTqN3T0xP19fVmT7W+vt5sfUtLCxoaGjqtsdSnJbGxsXjzzTfx8ccf429/+xs+++wz/O53vzM7iYyIrhOJs4qIyCaYVUQkB8wqIsuunnAF/PoIiKt/Gdgb+u3LbDBmRdRnmJsc2vHnjjU97dvscfh3yojEWSX3LzbX1NSgvr7eqB+VSoWoqKhr+oI0ycyVfFBcmRwFpRIKZyWgUkGhcobC2RlwVgLKtgkHUCrbJh04KIzvjYz6vLJqjIOirc7Rse11Tk6Asq0/hbMzFCrntuM4K6/0e2WiVofz6td4X0X0q6uz6srkKyjbckTMKWflr5Oj2idfdXi9xX7FFbTaJ3UpxbyCSvVrBrZPJO2q3/6EWWUzTvY+ASKyzqlTp+Dm5ib+rFKpLNYqrvofiCAIJm1d1V/dbm2f5iQkJIh/Dg4ORlhYGPz9/fH+++93+YhCIiIiIiIiIpI/cfD7yp+FVuGqAgUgXNVmtiPTMYn2vtv/adI3EZEVJMuSTvKKOXX9+Pr6Gv28atUqrF692qjNFl9s9vb2luSLze215vo5efJkt/shGWufOOXg0Pa7GYWi7Z+Ojm1/BiCgtW0SlUIBQdH+TwcoHFrb8sbco7cUV/XXPhHLoW3SBAQBCoPh1/4cHABDa1tfQut1vQREJAMdsgoODkD7IwCv3A8JaG2bvOPQwwk8Dm25JeYVACgECMKV4wpXMk8hMKvIpjjxisiGBKF7Y4Td7QsA3NzcjCZemePh4QFHR0eTD2xnz541+UDWzsvLy2y9k5MThg4d2mmNpT67y9vbG/7+/jh+/HiP+iGiaydVXkmVeURE5jCriEgOmFVEFnR8JITCQRxgVygUV77U1fYfvWC4Ui+0dj35quPKMcCvqy60/6JR/EKZAAjtk7ta+RcMthmzIuoTLGRV264r/7F3zBPAukmiHfsGfs1CRwCtzCpzpL636gtfbJayH5KZ9tWpHB3EFV4UA10gOCuvTG5QAIZWKFoMQFMzBIcmKFpaIDQ1tf0laO0w+UrsskPeOTq2rZrl5NS2wpWzEoKTI+Do0JZRra1QNDVDUFxqe11rKyC0Qmh16HAT1z/xcyBRB+ayykUFQXUlq4C2nDIYgMtNba9pVkAArtwPdTJBSvHrCloKpRMULi6AyhlwdGzLK6Atqy43t9U2NzGrOmBW2Q4nXhH1Qc7OzlCr1dDpdJgxY4bYrtPpMG3aNLOvCQ8Px7vvvmvUVlRUhLCwMCiVSrFGp9MhNTXVqCYiIqJH53vu3DmcOnUK3t7ePeqHiIjIpq4ewJTy04Ut+yai/qc9U2yRJbbsm4j6ro4TGa48EgJXJkkp2idXtba2DbwDHQbFW83nTsd7pw6TGNofYyGuANH+GoMBgsEABQxt/XJCAxGZYy6rFArxF4Rtv7QTjPPEmpUTrO2bWWUTcv9is5eXF4C2la86jqdL8QVp6uUUil8zxNkZigEDABcVWl0HoHWgMwRHBwgOCjg0G6BoNsDhl2YoLjoATc1tk6ouoe2eSFD8OpEUECesw9ERCheV+LhCYdAAtA5QQlA6olXpCEWrAIWhFQ4/N8HBwQG45Ai0Cm2T/tDWLzOLiDrLKkGlRKuTA6AAHJoMUDS1QPGz05UMamrLqVbhytyoVtPPgAqHXx8veCWvhEEDIAxUQXB2QquzIyAADi1tE68cfnJkVtF1Y2YtSSKSjCDxZgWNRoMtW7Zg69atqK6uRmpqKmpra5GUlAQASEtLw5w5c8T6pKQknDx5EhqNBtXV1di6dStycnKwdOlSsWbJkiUoKipCeno6jh07hvT0dBQXFyMlJUWsaWxsRFVVFaqqqgC0PXO+qqoKtbW14v6lS5dCr9fjxIkT2L9/P6ZOnQoPDw+jSWJEdJ3ZKauIZMPct0al+iapLfvua5hVRJ278lgIiz/31r77GmYVkWWOjr/+Ys/RAQonp1//fGUyVtvjJ65aEQb4NXe6mHSlaO+jfUC+/c/tj+ChNnYcsyLq9doft+Xo2LaSwpVH4/yaU47GOdXVPdFVq2h17Mekb8VV2Ud2yaqOX2zuSKfTWfwScvuXljuy9MXmq2us+WJzQEAAvLy8jPppampCSUlJj78gTfKgUCgApVPb5CgXZxgGqdAySIlmVyWaXZ3QMkgJw0DntklTzkrAWQk4OBrnjEOHRwmK92aOgINjW7+qttcbBjpf6dsJza7Ktr4HqSC4tE3OgtKJK621430VkZGrs6p1oDNablCiZZATWm5QwjBI2TZp1EXVlidOTldySGH0WHqjPttzy9ERcGrvW4XWgc4wDFIa9d860PnXDGRW/YpZZTNc8YrIhgRB0TZzVqK+rJGQkIBz585hzZo1qKurQ3BwMAoLC+Hv7w8AqKurEydDAW0f2AoLC5GamopXXnkFPj4+2LRpE2bNmiXWREREYOfOnXjuueewcuVKjBw5Enl5eRg3bpxYU1ZWhokTJ4o/azQaAMDcuXORm5sLR0dHfPHFF9i+fTt+/PFHeHt7Y+LEicjLy4Orq+s1XRsi6jmp8kqqzCOSja4ef9Od11O3MauIrhGz6rpiVhFd5UqGiIPnDh1WphJXs1IACqEtqwyGK4/JaX+9hRVlOk5McLiyaoxD+4pXCqO+FQAEgwNgMEDhoGj7BnVPs1Hm7DlmRdQrdcyqK5liMmFTIUBhMEBon7TQ6oBfw6o7x3AQ80nsuz0b2/t2cAAEAQqBWdXOXvdWGo0GiYmJCAsLQ3h4ODZv3mzyxeYzZ85g+/btANq+2JyRkQGNRoOFCxdCr9cjJycHO3bsEPtcsmQJJkyYgPT0dEybNg179uxBcXExDh48KNY0Njbi22+/FX9u/2LzkCFD4OfnB4VCgZSUFKxbtw4333wzbr75Zqxbtw4DBw7E7Nmze3KJSA4UV+53HNomUQmOjhCcHWBQOaBVqYDQYbKCQ7Mj4OQItBiguLIaFgSHX++3xML2PtseC9Z2P+XQttLVlb4NKgcoWoX/z96/R9lV3Gfe+Keq9u2cvqq7dTWSEL7EYMD2iLwEjA0TGwh2MsSGgbWSxXjGNolHKxMDSTyWE8eMHcfjhBCFOBh7hZh4SAx/+CVx3mH9DKxlZBPkrAHbGV/jS4TBWEJqdau7z21fqur3R+19zumb1MJSdOn6rHWW0D51vvuoQQ9VtZ96vlghkYXE9hu1pCznZau9fZdfB3o8XZbQKhMqdKywCqdHxoK2yMCNFVLO07AjIgWi0q5Autphn1ZpEIVFhgEiL7xW9eG16sThjVcezxnMjh072LFjx5Lv3XfffYuuXX755Xz1q189Ys3rr7+e66+/ftn3r7jiim7v+qWo1Wp84QtfOOI9PB6Px+M5Zage2FWnk/uwpvr/Xfkg8Fg2w/vqul+Wqv0i6no8ntXJMlrV1amqVdeL0ZNl9Oqn0kCPx7P6ELLXaiIKuy1suglWhXZttrIclIS8KK8XAIvbeS2VdBUGELr6bgNeOW2ytqyrIMuxWeY2+Y+lPZjH41kd9GtV2cKGIOiZowrtzAp53m3ZBSzdDqdbs68tTqVXSYwIQ6dLQWnsMtZpXieFovBadQpwqh5sBnjve99Lu91mx44dTE9Pc/HFF/PII4/4g81nOuW8p9InM1ynGIlprYtIhyUmBKsEQVsStC3xjCQGpFJIa0EbhCiwwLxdqDIllCBw7cAGapjBiHQsJh1RFDVBURMIbVEZRHOSOhAEEpkXkKZgjDO529VtaPB4PCyrVe21EemQ0yoEhE1J2AqIIkVUGGS5LhRZ7vachJ2vKUL2kkPDCGoJZjAhG6uRjQbkdUE+IMCCzCGek9Sk1yrPvx0+s9bjOdH4uD6Px3O6cBK16u6772bbtm0kScL27dv58pe/fMTxu3fvZvv27SRJwjnnnMM999yzaMznPvc5zjvvPOI45rzzzuOhhx6a9/6XvvQlfumXfolNmzYhhODv/u7vFtX4z//5PyPKk6jV6+d+7ude/B/Uc3pRtXioFnTlJjxVWwml5rfAWWkizAKDxHK1q3v7pJkF+HmVxzOffq2Sok87fgqd6q8Ni/VqYW2vVYvxWuXxOPoNB0GAiCNEkmAH69jBOmbYvexQHTtQQ9ST0jwVzZ8bLdS36vdSdE0ShBGinmAHatihvtrlvUSSuPtXLSy8dvk9K4+nYimtqtd6ejI0gBkawA7WoV5zehJFEIY9U9bRkAJCZzwVSQL1mtPBqnZXB2teq5biJGnVjh07eOaZZ0jTlKeffpo3vOEN3ffuu+8+Hn/88Xnjq4PNaZqyd+/ebjpWP9dffz3f/e53ybKM73znO7ztbW+b9351sHnhq/8gtRCC22+/nX379tHpdNi9ezfnn3/+i/tDek4PRNl6S5WtAOsJ+WhCZzyiuUHRfImgsQUamy3NTYLWBklrbUA2EqGHYmzdzYMIgm6r5+pVma5EHGHrCXo4JhuJaK0NaG2QNDcJGputq3+WoLlB0RmPKEZcXSJnJBX9iaOrFT+v8qx2VqJVm6GxGZqbJM31ks54gB5JMPX+9drSFpauoSuOMPUEPZTQGQ9orpc0N8le7Zf0tCofTbxWLcRr1QnBG688nhNIFdd3vF4ej8dzojiZWvXggw9yyy238Lu/+7t87Wtf4/Wvfz3XXHPNvFOD/ezdu5c3v/nNvP71r+drX/sa73//+/nN3/xNPve5z3XH7NmzhxtvvJGbbrqJf/7nf+amm27ihhtu4J/+6Z+6Y5rNJq9+9av5+Mc/fsTv9wu/8Avs27ev+3r44YeP+c/oOb3ptcXpGfAWba6LY5xWLxy/RO3letmvZvy8yuNZnnkmhP5Xv0HhxRU+em3PPLxWeTxLI6oHfIGCMMBEAbbvRRiUD/8UqNIAscTcaNHcTJXjg7J+OL+uqWqX74v+tmGrGL9n5fEszUKtslGAjZV7hQG2qyeyd0jrSHOtysDebS/oEvmqWt3alVaVLVO9VvXwWuXx9FG1VQ4UOpYUiaAYgHzIUgwZihFNPmjJB6CogU4kNpLYQJbzKzlvD6qaa7lEPjfORAqdSIoa5AOQD1qKEe3qD1qKAdx9E9WdXyH942avVR5PSdVmULn5TqVV+WClVZZ8qNSpuqBIJCZy7U0J1NFN7VKUcynXDrVIJPmAcHrVX3/QaZWOpZu/VVr1YvfHzhC8Vp04fKtBj8fj8Xg8J5U777yTd77znbzrXe8CYNeuXXzhC1/gE5/4BB/96EcXjb/nnnvYsmULu3btAuDcc8/lqaee4o477ujGt+/atYsrr7ySnTt3ArBz5052797Nrl27+OxnPwvANddcwzXXXHPU7xfHMRs2bDgef1TP6YSYb1ZwG1O9k8bCWhAGawUC3Wu5dbRWXn2naarTP26Ta4naGoQ0rrXOcm0rPB7P6mY5raowBisBIwFdbi6tUE9E3wNE0ducn1ffa5XH41kBovswTyHCEBuFmFqISUJsILBCIDPpXtYi8gJhLbYoQEqEMVjhWg12TVdC9jSpSmqIQmwSudqRwkQKYS2isCBB5gVCG2yWu+9jje8w4fF4uiypVfUIEwfYMnVByQKUAGMQaYC11rUb1AY311qwHuxv2VwaQ6vaNgmxUYBO3CMaoV2LHVlop4Feqzwez0LK+Y+QEtM1HAiKukUPaUSikYFBa4EwEp0ITCjQoURVhgOlXFvTfmODEF1DglUKEwh0JNCJoBiw6CGDHMqxhaQIFaqjKBLRNUrIsnW0FeW60+PxrHqEkl2t0okkrzmtKoY0xAYEFHmALCQ6Bh1JgkD2jFHS7XXN7zYv5r1vQ4mOJDoBXYNiwGCHCqwFE0lUqshrgjAptUqWBtOT92PxnOF445XHcyI5nnF7/v8EHo/nRHK89KqsMTs7O+9yHMfEcbxoeJZlPP3007zvfe+bd/2qq67iySefXPIWe/bs4aqrrpp37eqrr+bee+8lz3PCMGTPnj3ceuuti8ZUZq1j4fHHH2fdunWMjo5y+eWX85GPfIR169Ydcx3PaURlgKqMUdXDPNV34sZUG+waCwhhwQqs1r3N9aU23KHXLkKKXvuIpWoXBVZrZ+zSHN3UtRo4zlrl8ZzWrESrqgeButz8tis0SC00dFUpNOXDSMBr1ZHwWuXx9OiaDUJEEruWXYMJ6XhCPigxgcAKCDqWoG0IZxUBINopAsDYUmOYZzzomiOUcm1zagm2FlOM1siHI4qaexApLMjCEjZCYimRgUJo7Uxd1jotW62OBr9n5fH0OJJWDUiscnOrsBmg2oYwVChtEG3h1oRFgbBiSTkRZVKoCAPXarUWY0bq5MMxRV1R1J2pS2hL2DTEgdeqRfi5lcfjkMIl40UheiCiM6roTAjSl2Rs2DTNeK1FJAt+ODjB3OE6HRMRzkmEDgjaIbIVIoxB6NI4WuJaDarScBqSDwWkw5LOhKXYmDE02uKlY5NkJmCyNcAL4ShhI0LmingqQsYR5Dmkqzz9xGuVx+OQAoIA4gg9WGrVWkF6Vsb6DYcZiTsIYfnX+jidWs1pyYxCZSGyEbrPFsXStZWCIMDGIXogJBtWdMYF7Y0F4ViHl607hLWC6U6Ng8kIQStCFk6rVKVVqz253WvVCcMbr85klutPejw2wU9kbY/Hs7pYSk+Op5ac6PqeJdm8efO833/wgx/k9ttvXzRucnISrTXr16+fd339+vXs379/ydr79+9fcnxRFExOTrJx48ZlxyxXczmuueYa/uN//I9s3bqVvXv38oEPfICf//mf5+mnn17SSOY5gxDu9EzXGBXH7gFfqSnWGNASUZQGgzL1BVHqizWL9acvOaZ3kjpwi0mlEFWKjLVYbdzDRiFcmpawzDvi4/F4PLBYq6LQbZpXWlVohNKQu2QG97zuGB7alXolgqr1TdkCDJxWFYXXKo/Hc1REZdxMYsxgQjYS0R5XZEMCEznjVdi0hC2BFREyN0hAFBrC3JmurGXezEq6VoSEAYShMzIMxGQjEekaRV4X5AOl8SqzRLFA5hEhoDoZot12rS/yZTb0PR7P6qFsFdg1sfdpVWes1KrAKVCUCMKWm+uIToG0FvIcoVSZgryk88rpVTeZLyYfjknHAvK6JBtytWVh0Qu1qpP2Dvz4KZbHs3qpDsYIZ2awUUgxEJCNCDpjlvUbD/OGDT9kW3yQukzZHb2Sb8fr2d8eJ58MCDqCKFGoMACt3RxL94mK6rU/1YlyLbuGBdl4wYb1hzlvzQtcPvpdWiZmb7qW3byMqYNrCVqCYiAgKPe2RDf1yichezyrkn6tUqqrVemoIB2zbNo0xWXr/5WzomkAHlXn8oNggnRuiHxAEjYVYRQgyz14u7AlYJX6pyQmCihqimxQko5aautavGLtQd448V0Ank3HeFJt48Dk+q5WhdWhQq9VnhOEN155PCcUUb6OVy2PZ5VwvJISljOJepbgeOmVq/Hcc88xPDzcvXo0k5JY8O/KWrvo2tHGL7x+rDWX4sYbb+z+8/nnn89FF13E1q1b+d//+3/ztre97ZhqeU5DqtMv5QlllOolzEBpMpA/ndaUJ6uF7EuRsda9pHD79tWvHo63Vnk8ZwT9WlUl6HXfM2BLDZMSrF02jWEhVToD0iX0UW5udVsNGlOmaxVeqxbhtcrjAbpmBvfPbs5kAokJpWt7EwtMBAjQuUDmYAM3RkjZM72XGrSwdve6klgpMYHEBgIduvY4JgYsWCEwHdx9A4nqa6UqpMDa1ZrU5/esPJ5FSIFVsqtVOir1JHRv6xRkLrCBAOXGsvCh4HII6cYr0adVoMvtEivd7yutkkoubgW2KrUK/NzK41mAEBglMAHY0DIQZawPZ9kQzlAXKRNxg8FoDYTGjVHCJfdJSmNEOY8ytjefEu59q3q1CQ2DUcZE3GBDMEPLxrRMzECUMRlaTODGzmtHv6rxWuXxAO6QjHAt5a0CG4CJLENRyvpwlvXhYRSW8bjJj6MRslJPrBRY2bcGXLJ22dpUylLbXO0kylkTt9gUTqMR5FYxFKXsjywmdOO632vVa5bXqhOFN16difRvRi1c+FXpCz/NIq2/N/1StWEVLwIX4GPbPZ7lWU6rqiN8x0urlqrvtWoxxzledHh4eJ7xajkmJiZQSi1Kojpw4MCixKqKDRs2LDk+CALGx8ePOGa5mitl48aNbN26le9///s/VR3PKU7ZXksohYgilyBTS7Bh0N2MEnmB0BrSzLXukhJB3tUwayQLmtB3HzwKJV0LiyBwrXHiqHu6sDJdibwoWxg6o4Q74SxXd3sJ8FHIHk8/y2lVoHomq7yAQmPTDMokvW4y1XIn+ypDQpnO4NKuIqdXgeppoTGIQnutWgqvVR7PfKp2EEmErgfkQ4p0jSBdY9Gl8SoMnRFB5ZKgGSBzjU0DRFC2wtELNKs0rYvApTPYJEDXArIhSToqyAchH7ZgQWWAFIQthcwDgiQ6cvuK1YLfs/J4elStBsu2OMVAT6uyEdCRdcGe5QO+IFWEsyEq14hAYZVyyVRiwTyobDHv9MolP+h6RD6oyIaFe41arACVOR0MWwpRBASzEcgFpvrVip9beTyOPjMDEkwAJrQMhBljQYMx1WBAZAypDrUgB2WdmUq68zhHPTgoRDnOfQZlqQU5Q6rDuGqS2JxDapCBMCsNXXTNXN7MgNcqj6ef0jxlZc8kOhx1mAhmWafmABgKOsRh4d6XfZqyEiptKz8XhwVDQYdx1QCgE4QMRx1saMv6yxzoWY14rTphrPL/C56B9JmihFJuI77vVW2gdx3sx1q7fxN+QW2hVF8LHS9cHo/nCBxJqyot+WlSZBY+MPRadcoSRRHbt2/n0UcfnXf90Ucf5dJLL13yM5dccsmi8Y888ggXXXQRYRgeccxyNVfKoUOHeO6559i4ceNPVcdzClMlMyiFiEJEvYYYqGNGBtBrBijGBynGBtAjA9jBOtRriCRBRCGEYZmKJRfMu/p+r5QzXUWhMzHUa9jBOnpkgGLM1ddrBjAjA4iBurt/FJapWH5x6PF4SpbTquE6Zs0gemygqyV2qI6oJ4g4KlsS9oygy5aXotdiMAoR9QQ71NNCPTaAWTOIGa57rfJ4PEemNEeJOEIPxnTGQ1rrJM2zDPm2DuqcBsE5DdqbC5qbLK21kmw0oBiKsLXIza8CZ8DqpvpVptCgajMYUQxFZKMBrbWS1kZLe3NBcE4DdU6DfFuH5lmG1lpJZyxAD8ZdTfSGBo/HA4AUTquiCD3U06rGZkN6Tge2tTDb2k5LNgra45JsJMIMxJC4tvRiGT2Z1251ICYfDmmPS1obBc3NGrOtDdtapNs6NDYbWusk6ViIHooRSey1yuPxzKdM+zShS+OzkWV9MsfZ4SRnBw02BznrwlmGww4yNBhVmqhW8kxQVEky7jMyNIxGLdaFs2wOcs4OGpwdHWR9MoeNTZnS576PXwOefO6++262bdtGkiRs376dL3/5y0ccv3v3brZv306SJJxzzjncc889i8Z87nOf47zzziOOY8477zweeuihY75vo9HgN37jNzjrrLOo1Wqce+65fOITn/jp/rCeUxtRpae79FATgU00m2ozvDQ6wMvCWc4JZ9kQzTIcpdjIuGSsaj/paCbOMhXLKtcO2kaGkbjDhsjVfVk4y0ujA2yqzWATjQlLrSq/k9crz4nCJ16diXQNBeWv1aa6sQhpyn7z1dgVJsosSLnqPjzsq+2oTvb4pvOAPz3o8RyJhVo1760+rTrW5Kv+VnOVVi3Ca9UiTqLL/bbbbuOmm27ioosu4pJLLuFTn/oUzz77LO9+97sB2LlzJ88//zyf+cxnAHj3u9/Nxz/+cW677TZuvvlm9uzZw7333stnP/vZbs33vOc9vOENb+BjH/sY1157LX//93/PY489xhNPPNEd02g0+MEPftD9/d69e/n617/O2NgYW7ZsodFocPvtt3PdddexceNGnnnmGd7//vczMTHBW9/61hf5A/KcFpSmTfcwr0pniNC1wG1WAUoJCCSySpSx1iVgKYVFlzIjsMb2DA5VMo2SvQeFSYSpR+hYoRO3mS61xSqJyDXCGPewUalSF32KjD+R4/GU9GtV5PRED8SYRLnNKgtKSaSUSG0QWe5SY6qEl4WJDH11AbcZFQaIMMTGESaJMLUAnQQgQBiLDCSiMF6rFuK1yuNxCJfKgHJ6YmoB2aAgGwazNuOsdYcZTdpILN+XE7RknbwZktcFqqMIogAChTABVmuE7tsgr8yhYYCNAoqaIhuQZCNQjBUMTLR42fgkBsHhTo0f2zVkhxKClsTU3OdQZWrEyfsJnVz8npXH46i0KnCao0utSkfATmRsWneY4biDNpIfMkEqYsI5ha5JdKyQYWmMEkW5BuwvXbVEdamhOlYUdZd2lY5p5ETKOesnUdIwkybsE6OkhxJUW1BLAoJA9bRqubnbasDPrTweR2VIEGVLrgCIDKNhi7WqyXoVE6AYVw2Gww5KmV4ijOirUbGwnSluXJUgo5RhMMgYVw3GZY0CzWHTZDRsQWSwVYpM3/da1ZxErXrwwQe55ZZbuPvuu3nd617HJz/5Sa655hq+/e1vs2XLlkXj9+7dy5vf/GZuvvlm7r//fv7xH/+RHTt2sHbtWq677joA9uzZw4033siHP/xh3vrWt/LQQw9xww038MQTT3DxxRev+L633norX/ziF7n//vs5++yzeeSRR9ixYwebNm3i2muvffE/J8+pTWmMskpgQouMNBNhg02qxUZVp0AzEc4xFHVAWTe2MolWLDw02P+8rzKJKkBZBsOUiXCuq4O5bTERNpBRabwK3HcRq12nwM+rTiA+8eoMpf8B34I3jmBEOIbaCz9ftc45ysnpVYcVx/fl8ZxhzNOq6nUiWFDfa9USnEStuvHGG9m1axcf+tCHeM1rXsOXvvQlHn74YbZu3QrAvn37ePbZZ7vjt23bxsMPP8zjjz/Oa17zGj784Q9z1113dReFAJdeeikPPPAAn/70p7nwwgu57777ePDBB7uLQoCnnnqK1772tbz2ta8FnAHsta99Lb//+78PgFKKb3zjG1x77bW84hWv4O1vfzuveMUr2LNnD0NDQy/qx+w5zRDuFIwN3MuEAhNJTCSxocSU16uN8Hnzo36zet/vq3+uHkK6umW9sraOevd0G1d+yt7Fz6s8nsUIiVX9WlW+Si2h1KnuRni/Xi3ccOo/cFONleXnA3cfE/XuUd3TBsprVT9eqzye+Yi+B4TKtcUJQs1glDIcdhiO2sRhAaFxLXNUOXZhgt4ye13V2O7Ge2iIgoLhqM1w2KEeZgSh7rbE6dY9wmGgVYHfs/J4lpwLVVplQ6dVA2HGcNRhKOoQhhob2K5WocTSdZa6j3DjbdkezIaWMNQMRR2Gow6DpVbZ5bRqJfc5U/Fa5fE4+g8nl93jMZCagKYNaJmcts1omohUBxgrEMaNFbb8fH+N/pCG8j1RPpAXBowVpDqgY0PaNqNlcjpWkZoAtHD3t33f61gOT5+JnEStuvPOO3nnO9/Ju971Ls4991x27drF5s2bl02Wuueee9iyZQu7du3i3HPP5V3vehfveMc7uOOOO7pjdu3axZVXXsnOnTt55Stfyc6dO3njG9/Irl27jum+e/bs4e1vfztXXHEFZ599Nr/2a7/Gq1/9ap566qlj/nN6TjMMTleMwBpBx4R0rKRtMzq2oGUiMhOAEfN1qvv5BZpiLF2Hu7UI47QKI8hMQGpCOrZwemUVHRNijejV9TkMDj+vOmH4xKsziXIhJpTqJirMW4xZC8ZgrUCgsaZMezlamkx/S7CqncVSDnZr3QlEYcvDN8ZPtDwez2JWqFVo03eQb4V60rch1U2V8Vp1WrBjxw527Nix5Hv33XffomuXX345X/3qV49Y8/rrr+f6669f9v0rrrjCJX8sQ61W4wtf+MIR7+E5AxGy215LJDFmqEYxFNOZiMjrLr4YIGpKgpYiksIlUwFoA0WBAJd6Zfo2yCu9q9JpkhhbT9BDCdlISFGXZANuvCwsYUuRWEsgBDIvIE3dPE6v4lPOHo+nx0KtGkgohmLS8ZC8LjFKIKwlrEnCpiICZF64ZKqiwBYFwoplAq+E06wwQMQxthZjBhOyNTH5gCIfcA8knVZJqLQqzb1WeTyeHtUaTDq9soGiSBR5XZAPWdavmeNVI/t4STwNwGxWI80D0oEQHQtMJJyxU0lEZUQXEqTp++ee8VTHAp1AMWAYGOmwZeQw/27YHd54PlnDXBZzYLBOPiAoEkUUqPJwTp8R1a8LPZ7VS6VVYYCOJcWAIB8ybFgzx4VrnmddNEtqQibbgzyXBhT1wLXOCSRUBvTl2uJUGqYkOnR6VdRBDedsGJ3lNSM/JpY5B2rDNPOI/UM1ilmJTtz3EUpij9Zyx+PxrA6MwRYF5AVB2xA2FNl0yFcnN7MmfA1bokOEouCx6fP4zqENmEMxYQOipkV1tNu/KrRLQa6SkA2ulX0RQK5RHU3UVBRzgvahmP87vIncSrQV5DZgb7qWr05uRh0OCBsQtA3kbo2J8a6G48ns7Oy838dxTBzHi8ZlWcbTTz/N+973vnnXr7rqKp588skla+/Zs4errrpq3rWrr76ae++9lzzPCcOQPXv2cOutty4aUxmvVnrfyy67jM9//vO84x3vYNOmTTz++ON873vf48/+7M+O/APwnL6UaesiLwjalqAB6eGIp6a2MBK02BQeJreKJ6Zexg8nxwkOK8KGRbUNIitA68WmqwpjQWtEVqDahrApCQ4rfjg5TqJexpBqEwrNT/JRnpraAocjggYE7bJrRVH4dZ/nhOGNV2cK5YaWkKJrNOj2f69OAmqN1QahNRZWZr5aynRVPjQUSvb6y5dC58YasKVhYpVvXC08QPDT1vJ4TnuOpFUVWmOtRZC731tzTM/tqlQ+oSSEYZkqM7++G+i1qp/jpVer/MfoOd0RojvfIQqxtZhiOCEbDWmtlWTDAhO60zf5rCJqSBAgswQJ3c0rCwhjum0JXelyHhUEiDjC1hPMQEw2GtIed60s8mF3UETmgmjWIosIhCBsZ9AO3aJSFli7ejXrZGvV3XffzR//8R+zb98+XvWqV7Fr1y5e//rXLzt+9+7d3HbbbXzrW99i06ZNvPe97+22Ua343Oc+xwc+8AF++MMf8tKXvpSPfOQj89qZfulLX+KP//iPefrpp9m3bx8PPfQQv/zLv7zgz2P5H//jf/CpT32K6elpLr74Yv7iL/6CV73qVd0xaZry27/923z2s5+l3W7zxje+kbvvvpuzzjrrxf0wPCePhVpVTyiGE9KxkOY6RT4kMAEII4gPW4rEzb/iNEdoA3l+5JaA/S0M4whbj8nWxE6rhgTZiEtqkIUgnBNgS63q5NBue63i5GuVx3NKUa3HwgBdk+SDoEcLzh/bx5XD3+Ts8DDaCho6oaMD/mWyTlEPKRKBiZQzNKjSEGGEM7ZX60nlDA8mUqWRQaCHC84aPcxFa37E1QPfRgnLM/Eos0XCI6Pj5DMhula2Ug0C7GpNj8HvWXk88yhbDdowcIdihpxWvWb8eX5h5P+yQTVo2oAD2RCtPOTQUExRE6U5SiFVmey3MEGvTDsWSmJChYklec2ZutaumeOCNT/hqqFvMCAKni+GaeuI/71mjHwmoqiVxqsgWL1JVyV+buVZ9VgXb2WtRRQFIs0IGjnJdICJBc//eIz/L38Vw0lKIA0/OriGfDqhtl+RTBmiGU3QyBCdDLLcmaQqY4MUWCEQWY4QgqCREc0ojIJsv2IyGOUrjYR9rREKI5ntxEy9MMzgQUEybQkauWtrXxTugKtdvYecj7dWbd68ed71D37wg9x+++2Lxk9OTqK1Zv369fOur1+/nv379y95j/379y85vigKJicn2bhx47Jjqporve9dd93FzTffzFlnnUUQBEgp+cu//Esuu+yy5X8IntMTa0HQNYmKLCdsFMTTCh1Lvv/8OhpZ3G3h/K8vTKAnYwYmBfGsJpzLEZ0cm+dYrZnXvxnK53na7Wt1csK5nDiRJJOKZn2Qr6WbmUlrKGmYTRP2HRwhOSBJpixho+hqVdck6rXqp67jmY8/KnEm0XfijypRQUmQyr0qs9RCM9WKSvfFGgvRM111a/fds/8kosfj8SxkOa0Kgq6WdFP1+lt0rSi2vdSd8uRy13S1oL7XKo/Hsyz9+lSeds7rknxQkA9BPmTJhyzFIOR1KGoSEyls2PdgsNKwqqTo1yT3gNCGCh0ripp0dQZ7tfMh3P3qEh27B4PzdMtzUnjwwQe55ZZb+N3f/V2+9rWv8frXv55rrrlmXivUfvbu3cub3/xmXv/61/O1r32N97///fzmb/4mn/vc57pj9uzZw4033shNN93EP//zP3PTTTdxww038E//9E/dMc1mk1e/+tV8/OMfX/a7/dEf/RF33nknH//4x/k//+f/sGHDBq688krm5ua6Y2655RYeeughHnjgAZ544gkajQa/+Iu/iNY+lei0pDJHKeWSGWqlnizQKqclAh1LbOQeJtKfNrrEw0H3q5tD2UBho0oLRZn+MF+rikSia6pX22uVx+NZiBBY5ZJDTWyRtYKtyRSvjKZ5RTjAK8KELdEk62pziJrGhGAC95lFCcb9+1jlHKtbOwSRaNbV5tgWH+QVYcIrwgFeHk6zNZlC1gtMbHu1V7mRwePxLKBsBVhpVVArOKd2kJ8JZ3hlGHNeqDk7OcRYrYWNbU+rFurUMrWtlG58ADa2jCZtzk4OcV6oeWUY88pomnNqBwlqBTqxmNB9H69VHo+ni7FlCIJBpZqwZQgaoKZDpg8N8fzkaNd0FR5WRHMQtixBx6XDdJOptMFqZ+Syuuw8USZpiawg6GjClnWfP6zIpxN+dHANz0+OMn1oCDUdEjQgbLnvgTa97+Y5bjz33HPMzMx0Xzt37jzieLHg/xfW2kXXjjZ+4fWV1DzamLvuuouvfOUrfP7zn+fpp5/mT/7kT9ixYwePPfbYEf88ntMUa0oTpoVCIzOnJ2ET7HTEC1PD/GhqDc9OrUFPx4QzkrBhCdpOT0RelC0Fl9ET67RG5AUy02X6nyWckRSHI56dWsOPptawf2oYOx0RNl3alcw0FNp1xKlMoh7PccYnXp1plL3fRWky6Dda2TI5VJTpVFbiDjiLZVKvFm7Gly1yum1ypEIEZYqMlVhhENZgjXHfwz/DKftbH8daHs+ZwnJaZSWWUqxsmaQnKrFaIaLfcFWaIKrTgV6rlud46ZXXKs8ZgBACIVzbCBNJdCTQMeiaxYQWLKiOQCbCtZcIJbLfbFBpnFj4YFD02uLIsi1OJNCJq1/U3Kkgq0B3ytqRGyeFq7nq/4qdRK268847eec738m73vUuAHbt2sUXvvAFPvGJT/DRj3500fh77rmHLVu2dCPYzz33XJ566inuuOMOrrvuum6NK6+8srt5tnPnTnbv3s2uXbv47Gc/C8A111zDNddcs/wfxVp27drF7/7u7/K2t70NgL/+679m/fr1/O3f/i2//uu/zszMDPfeey//63/9L970pjcBcP/997N582Yee+wxrr766mP/gXhOCUSpJSYUpZ44LTGhRWiBaoNM3Xs2cOkwQkr3V2C5eZAUvdqqT6tiQZFAUQOrLDIHmbnrJhQQVO3AvFb5eZXHswzWujWZEeRW0bGC1OZoa8ltQGYCrBa9v0OWox+jtbY31gBGkJmAjglJbYFCkOPuZ41w8aJ+k93h96w8nuUppSW3itRCags6VtMxIdrK7t8fYUCsJDbAWoS1CEP3s9pKOiakYzWSgty6+7nUUPzfq3783Mrj6aF12cJLozrWGRrmBGkUksfueV0wowjnBEHLojoGmbo2gxjjPm/N/LaAtrxuDCLXyFSjOoqgJQnnBFYocpEAIFJ3LWxZVMe6ulWC1mrnOGvV8PAww8PDRx0+MTGBUmpRutWBAwcWpVFVbNiwYcnxQRAwPj5+xDFVzZXct91u8/73v5+HHnqIt7zlLQBceOGFfP3rX+eOO+7o7lF5zjCqLlnGOHNUxxK0LOGcJAsjiigAIwjnJGGz1JOFOmVMmdTewxqL6HtfZro0oQaETYENFZ0wAWkhk0RzkrBpCTql8ar72VU+IfDzqhOGN16dKZTpVUIpRBRBFCKS2J06rlp75aWjXeYI6LXCWdhycIm6VYtBEQQQx4gohLA8MQ1u8ZgX2I5ACNk1TLi6q3jCZctNveNVy+M53TmSVlVD0twt1jIxbzF4xJaAC1sYKoWIQnePIMDGoXvfWNdu1WvVYo6XXnmt8pzuSOESpuIIPRCRjio644L2Ro2cSImjAmMEnbiOjiUyk0SzATI3yE6IaCusUe60X59eVW27RKCwcYiph+SDAZ1RSWfCkq8xRGtbSGnJsoB2LSZoK2ShiA5HyDiCPId0lf8dO85aNTs7O+9yHMfEcbxoeJZlPP3007zvfe+bd/2qq67iySefXPIWe/bs4aqrrpp37eqrr+bee+8lz3PCMGTPnj3ceuuti8ZUZq2VsHfvXvbv3z/vXnEcc/nll/Pkk0/y67/+6zz99NPkeT5vzKZNmzj//PN58sknvfHqdKTSqihED0R0+rVqLCMMC3ThNpxsIAk6kng6RKQaFYVOk8oW9Atx7XBcG0OTRBQDIemIJB2HdNwg13UIAk2RB7Tr0XytikLIAq9Vfl7l8czHWjDOoCALsLnkUD7Afj1ASAMD7MtHOZzWIFXO2FlYZJnAgClPTfdtkFtbbbobpDZufC6wHcXhtMa+fJR9+gdI4CfFMIfyAWwukUVplNDHsc/e6Yrfs/J45lMaqIS2yEKS55LJfJCDuoakzZwNOJQPMJfGiEw4PSm1xK5ET7q1QWSCRhZxKB/gJ1oxJDL26zqT+SAml4SFcBp3PHuCns74uZXH47RGa2yWgRTI6TlqShA2Y4J2RDYoMKECAWETwpYmOlwQT7YRrRTRbGNb7W6bQdtvlLIuRQttEECgDbKdIPOE5HDgkuAHFFiQOUQNQ/1ARnA4RU7PYTsdbJaVrcFWsWadJK2Koojt27fz6KOP8ta3vrV7/dFHH+Xaa69d8jOXXHIJ//AP/zDv2iOPPMJFF11EGIbdMY8++ui8fatHHnmESy+9dMX3zfOcPM+Rcn4qtlIKY/xhiDMWa7BZDqKNmmpQl06rwlZANqiwQQAWojlL2NQkh3Kig02nU81WqSdmmVaDBrIMmi2kEES5ZshC2AzJByTZUAgCRGGJGpb6gYLwcIqaajgNzHJ/EMfPq04Y3nh1JiBEzxwVBD0jQz1xbW9kaS7IXAscIQTWaGe+MgYrJEKanvmqW1d2WwwKIVztMEDEETaJnPEqKo1dxkAeIIx1Zq5y4ibQ5SmdVTzZ8ng8jgVaJeII4qinVZWpSinXUx56DwS1AXGU+M+qbaBSiDBwpqskxkYhNnZaZa07hSPAa5XH45mP6M15CJy5vKgHpMOCdMwSbWjxsnWTDIcdCiv5ltpASw0QNAPyAYnqKFQUuPmSMU5f+jcQSv0jcPOnoqbIByXZCGQTmvraJq9av59AGA5nNf41GCc9PIjqCGr1gCAMXNqoEFghAeM16ziwefPmeb//4Ac/yO23375o3OTkJFrrRScF169fv+hkX8X+/fuXHF8UBZOTk2zcuHHZMcvVXO4+1ecW1vnRj37UHRNFEWvWrPmp7uU5BVioVVFIMRCQDQs6Y5Z4Q4ttE4cYjjq0iojvsIGOSAgbkmJAoToBsq8loJBiwRJQdNut2jDA1AKKuiIbEXQmDGpth3Nfsp96kDGbJeyNxulUWjUQEEShM5l6rfJ4PBVVyxJjkNoiCiCXTGUD/CR3/18yVrI/HWEmTZyZoTReicJ2W0m4dhN9gtW95sY545UzM8ykCfvTEZ4rhpHCsL8YYSobgFwiCpD9piuvUR6Pp5/SJCpKk+jhvM5+PYJG0DQxB7NBWlmI7DdeaacjS7at6W+3o3vGK5kJmmnEwWyQ/cUQczJlfzHK4byOLbVKGPd9vE55PJ4u1mCyHKENQhtkq0McR0TPJ9gkdGs5cKkxeYFIM2yrA0WByTJnuirnVPOSZMquE1ZmiCxDtNrI6YDaVEISl88Cw7L7jTGITo5odbBphul0sJ20NF2tcjPDSeS2227jpptu4qKLLuKSSy7hU5/6FM8++yzvfve7AZew/vzzz/OZz3wGgHe/+918/OMf57bbbuPmm29mz5493Hvvvd30dYD3vOc9vOENb+BjH/sY1157LX//93/PY489xhNPPLHi+w4PD3P55ZfzO7/zO9RqNbZu3cru3bv5zGc+w5133vlv+BPy/JtRmkQpzZhSa4JWm+BATPJ8DRMFrpUyIDqFexbYTrFtZ4qypVYtaeS0Flvkrl1EowlZDo0m8WyT6Cfls8CktL5oi8wKRLMNnRTbamPStGc89fMrzwnAG6/ONKTotndAyvlmBq0Quky1qpKtpHSGhqPW7bXN6dZWyrWrEAK0cAvNqnWF9C5HcD4RcZy0+3jV8XhOCWRPSyo9oXw2J5TBqqpVjezpz0oCqaqHhVUrL+Va6lil3GSu3ORyDxq9VvVzvPTKa5XntKc6gdXXvstElsEkY23SYCxsklvFM8kYrTjBRAEmABu49oFI0TMc9J/mqowSUnTbDJoATAQi0QwkGRuSWUKhiVXB/mSIRgQmLNuDVVq44ITYauN4a9Vzzz03L7Z9qbSreZ9bkA5rrV107WjjF14/1prH67v9NPfynAJIWWqNwKiqNallMElZX5tjKOjQVDF7axmNOMKEEhMIN/epWp8esX7Z3lS6NoImBBsbklrG2rjBQJASyYIXkkFmo0E3RvXarFqvVX5e5fH002dGF2VLwMwomiamZWI0grYOyQqFMMIlFVdmg+5rsZmh/31hyoRjIyi0IjUBTRsRWk3TxGRGufVmf1uFVX7K3u9ZeTwLqNoBdtuXCtJSq4ZkSMvGZCZAa+n+/hhb/j2yR29ZY+bXFha0lmQmoGVjlDV0bEhaalU1RviHgoCfW3k8XaybSFkNdJyBgDSFTgcZBL39dq2x2jjzQpZ1f981XC2YV7lOExZhhXtfa3dYpyjcwRolXSpymcTn6ubu17zoma5WuWadTK268cYbOXToEB/60IfYt28f559/Pg8//DBbt24FYN++fTz77LPd8du2bePhhx/m1ltv5S/+4i/YtGkTd911F9ddd113zKWXXsoDDzzA7/3e7/GBD3yAl770pTz44INcfPHFK74vwAMPPMDOnTv51V/9Vaampti6dSsf+chHuuYszxlIZb4yFoObz4g0Q3RSVNDr1EVRYAvttCQtDZwLE/mWKl++b61FFIXzOXRSZOAOPVffgaLApllXC21eeK3Cz6tOJN54daZQPcwrW0LYOMLUI3QSODMDoGThjAfGIPLcPfjRer6hQSyxQV5tzpcpNTYOsbUIGwXoes85SiCRhXYLwizrO+W8itt3Ha8+qVUtj+d0R8huuy3iCBuFTqvinjEK5QykQhvIckTVBlWKI3YDFKXZQSjp6kchNomxSeC0sKpfaZUxkOcIpcoTPqtYq8D3dfZ4+hBSYoXAKmeM0rFlpNZhYzzDumiW1ISMJB2m4wFMZJ2ZQeF05mgmFiFAlbWVM0qoSDOSdHhJfJhY5sSy4JnaGDORdcYrRc/M8G/xAziVOc5aNTw8PM94tRwTExMopRalQx04cGBR0lTFhg0blhwfBAHj4+NHHLNczeXuAy7VauPGjUvW2bBhA1mWMT09PS/16sCBA92IeM9piBDOYB4Ip1WJZbTUqjVhk4ZO+HaynkZcQ4fBYp1aTq/631cCo0CHQKwZTFLOqk0zqDoMqgGer41yOLboSGAD932OqoOrAT+v8nh6GONSQPMC1TaEDQhnFP8yuY5E5ayNGuRW8a2pDUxPDRLNSMKmJWgbZKYReVG2n3fGhq5puNzTEoVGZpqgbQhbknBGcujQIN+QG6mpCwiF5mA2yL9MriOcUYQNUB33fawxq9t85fesPJ4e1T55oUutUuSHA747tZ5YasaiJs0i5nuH1tKaqlOfFQRtg0pdqgxGL68nxrj38wKVasK2IpxVtKbqfC9cy2PRqxgIUqayAb47tZ5gJnBa1XZahU9l8HMrj2cpqmT1qhNOv5nBmKMftjlq/epg4vwD1Fjruklo09POVb6t3uUka9WOHTvYsWPHku/dd999i65dfvnlfPWrXz1izeuvv57rr7/+Rd8X3J7Upz/96SPW8JyZdJ/ZVQcAlertG1lb6ko5f3qxe0ndoBnBvBAZa10yVvkdVvKMcdXg51UnDG+8OhMQpZCEISJJsAM1zEBMOhajaxKjBMJCkCiCVkAAiEJ323hhy/aA6Hnxot2WYAvbdg0kFMMJRV1RDCiscDHtqm2IAakkotBln9TMfT+vZB6Pp9IqpRCxa4far1VWupPNQUMRtJRzwecF1hpQRa/d4MKWNWXLnarNIGUbQ1tP0MMxRT2gGFTd+ou0Ks26ccpeqzweT2U2t2FAkUiKGpihgpcNT/L/DP4rm4JpWibmX4cmONyuMVVL0LFAR7KXTKX6FnUV1eKyTLvSkUTHUNQtY8Mtzhma5OL6D6nLlJ9EaziYDfHM0DqKuqRIJDYMnHHVGxpOClEUsX37dh599FHe+ta3dq8/+uijXHvttUt+5pJLLuEf/uEf5l175JFHuOiiiwjDsDvm0Ucf5dZbb5035ljMUNu2bWPDhg08+uijvPa1rwUgyzJ2797Nxz72MQC2b99OGIY8+uij3HDDDYA77fjNb36TP/qjP1rxvTynEF2tUhSJoKiDHSr4mZED/NzgDxhXDQ6bOv8yvJ6ZZg1djyhigQ4lYaBAqiPXl65NvQ4lOhLouqU+3GHr8DT/z8APGZUtDuphDhd1/nV4HUU9okgENlReqzwej6NKZLC22z4imk4Z2K8QWjInR/ny5AAiMmBBTkYkhyX1/Zb6wYJwJkPOlm0h8tztMVUnm7v13elpORsQhQos6DigVSRMTkb8fweHQYDNJMGhkKFnoX5QE02nrp1Flvdag612U4PHs1rppsdobO5aZ0WHM6dVRjKlxnlsbBgZGqwWqBdi6tOCwectyaGc4HDH6UlpkLILkq+ssQhdtvxqpwSHOyRCMFiXQMjc9BgPTw8glMXkEjUVMvicoH7AEB3Oytq5T5PxeDyOqvW8FO65XXn4mDjChkHXbCCkcPveWnfNUmizSKMWYo1FKHqmKyVLU5eaXz/vGbCoEmqMbzXv8Xj6qIJeZO+5HYEzi1bP6jC2TE1fYg9pOS2xdvGeU7UPX96rWx/cfY3t6Zp/Dug5gXjj1RmCUMqlvIQBJg4pBkLyIUVelxjlesJbgRObIkK0M5cmUxRu4VemUwnZdzKnStESohTEABsG6HpEPhhQ1CXZoMRKkBrCQKDSkKAwqNDFj7LakxmscK/jVcvjOV0RorcgrLSqNl+rrKy0yjnPZaZR7dBFhSqFlcWRT88sWHCaWkgxGJIPKLKhXv2uVhmDapVapZTbJFvNHC+98lrlOY0R3XalZcpLKNA1S1AveFn9ABdE+9moIlp2jnNqk/yoPsZkbbTXblC5Fqfd+dO84mXbrnKMazMoMIlmvN7knNok50dz1EXIuNzPv9Q38sWBl6NrASZ032e1txkETqpW3Xbbbdx0001cdNFFXHLJJXzqU5/i2Wef7Uaj79y5k+eff57PfOYzALz73e/m4x//OLfddhs333wze/bs4d577+Wzn/1st+Z73vMe3vCGN/Cxj32Ma6+9lr//+7/nscce44knnuiOaTQa/OAHP+j+fu/evXz9619nbGyMLVu2IITglltu4Q//8A95+ctfzstf/nL+8A//kHq9zq/8yq8AMDIywjvf+U5+67d+i/HxccbGxvjt3/5tLrjgAt70pje9qB+h5+TR1aqynbIJBTqxhPWMV9T3c0F0gLUq4KBusbU+xY8G1nAwHuy2LrVSug3y5TSlPCFopXQtCkOBji1j9Q5b61NcEE0yJgNe0Pt5pj7BY/VXoGuh06rye7m2zqv4JKGfV3k8PbR2LW6URM20SSZDhA4BSTYduT0rC9EshHOW2iFNfKiDbKaIVqfbGoIqub1EGOP2m4xFtDoEgUJog1U1ZK7IpyXZocQdFiwgmrUM7DfE0zlqpo3tdLqtd1Ytfs/K4+mhy0PEMiWYaVM7GCB1ACjyQ7FLDjUQT0M0VxpEp9vIuTa2k7oWNmUbr3lY464XhWuBMxcQCkE9UWADshlBOpOABFFA2IDBfZp4qiCYKWv3GU9XLX5u5fHMp/8Achhio9AZGqqUl9LQUD3jm/eMrtKphQebrZnXEUdUh50r00Sf8coK4eZdxrXyYrV3vqnwWuXxOLpJ6tU+u0SUqXm28g4Ii9Ar6B5xLPeUYn59a11niyplq9KqSitXK16rThjeeHW6U5oZ3D/3HhRaJTCBcA/1Amc2cG1wqjg/eexRo32f69YPwUpAlPWl6LWvEH0b7naVipiPbfd4FlNplZTztMoqEJpu+y0r3asbQwrLPsDr6mAZI1p91lTtvPrq97Swf7LF6tYq8PGiHs9ChOiuQYSwhEITCgiFQtmCUGiksCB6419MfQTIbn1JKFR5H1e/uw7qxiavdjMDJ02rbrzxRg4dOsSHPvQh9u3bx/nnn8/DDz/M1q1bAZcg9eyzz3bHb9u2jYcffphbb72Vv/iLv2DTpk3cddddXHfddd0xl156KQ888AC/93u/xwc+8AFe+tKX8uCDD3LxxRd3xzz11FP8+3//77u/v+222wB4+9vf3o2Kf+9730u73WbHjh1MT09z8cUX88gjjzA0NNT93J/+6Z8SBAE33HAD7XabN77xjdx3330odZTkI88pT6UTSs7XqkQUKMw8reruiRzDWnCRVuHqx6JAYd1+VfflN10AP6/yeJbCWjCufaBKFaoj3eHj0BmvVNsSpBaVGUSu+9pr9bUD7E9pUMJdt6bbHkzkBpUZgo47hBiEbr4lc1AdUKm7v2/bVeL3rDye+VSaUrYwVakiaNty78rtrwcdS9AxyMwgCtNrI2iWMF1V2PnjRK6RmSFILSYE3RbuYHMBQduiOtZpVbFAA1czfm7l8XRxB3EEQklE4JKKCQNsON94JaxFBAqb91psCStcMpU1SxwYlN3a3fFlfRsG2Kgv8UoIF+igXdswW9VerXtVFV6rPJ4uPa1SXaOoDQOnV0K4gzTWumSqwqXzzTOKLmeO6tOubsqVXFBfSkRlEi3K+VcZ7uC1Cq9VJxBvvDpTKPui2ihElwky6YggGxLYoDQzSLBSIvMA1QzdplQauKQXa8sJWd+p5/IkdZUgY6MQG4fkgwHZsCQbFGQjztQgCrdZFnQUUofIubDXp9Xj8XgqqglWElEMhGTDAZ1RQT7otEQWAG6xFnRCVCN0G+5Ztvh0zgJE2XKnilfuauGQIBstN8k06MhpldAhshG5RL9iladdeTweoIxUN72Tf8I4XcoLyYyuMaVDQtrMWcFkPkgjixG5QGiL0OVpQtv3mle877px42VhEbmglUdMFQO8oA1Dos1BHTGja+hCEhZug79bzxw9Gt5z4tixYwc7duxY8r3KBNXP5Zdfzle/+tUj1rz++uu5/vrrl33/iiuumJfwsRRCCG6//XZuv/32ZcckScKf//mf8+d//udHrOU5jag2041LIC4KxXQxwKQOgZQpEzBb1GhnIaIQCAOi/AxH05FubYvUIApBOws5nNc5aAI0KZM6dFqlJUo7rVpRbY/Hs3qwtpeEkElkq0NwOEDmBmESiiql3ULQMgRtTTCbIhrtshVg1mvftSBJxmrnKbUAKkM0JdIYIgkyj4lqimJGOuOVdvW7SVrNNibLXUKNWWLe5vF4VhelVgmtIXPtBoPDYbnOi0qtci1rwoYhbBUEMymi0eomUtkjtPCyxrX4Isuh3UEA0ZRCakM4FxDNuX0wqa3TqqkUNVem/pVpV16rPB4P4MxRQYBIYsTIMGbNEMVQTGeibP1eHjyO5gxBSxPOdFDTTUS7g227FD3XdnB+a1Qh3b66EMLVrtWglqDXDJCPJBT1sqNEWT/oWJLJjGAuRU7PIcHpobG+hZfH4+lpVRQ5rRobohiMScciilrZnUZbp1VNl/IppxtOo1otyKo2y0umMDjfQhQi6nVEEmPWDJKP1CgGglKr3B5Y0DbEUxmqkSKn5pAzs26N6bXKc4Lw/UrOBIR07vYwxNRjsuGQzqiivVbQXm9prze01xs6E4LOmCQbVuiBCBtHEEcuIrScVNGXGtM1MYSB6xEdR+iBiGxY0Vkj6UyIbu32ekt7raAzqsiG3PcQYYgIg3nxpKsOe5xfHs/pTKVVUYipR2QjAZ1RSWeeVpVaskaQjQSYeqlVQVAmVC2jJ1XscRBg4whTC139NaLUKle/s866+61R5EOuvojCsjXqKtYq8Frl8fRjLWiL1BaZC0ym2J8O82yxhh8VNZ7JR3khHWauEyNTgcxxJiptXCtnY8BYrO29XMy76Y6RhXWfSwWznZh9nRGeyUf5UVHjuWKM/ekwJlXI3G3Ao/1GO+C1yuOhfHjXTX8xSE1Xqw5kQzyvR/hxUeOZfIwD6SDtNEJmIHNn+OwmMiyXntD3vixsV6/aacSBdJBn8jF+XNR4tljDgWwI3dWq6rPWm0RPslbdfffdbNu2jSRJ2L59O1/+8pePOH737t1s376dJEk455xzuOeeexaN+dznPsd5551HHMecd955PPTQQ/Pe/9KXvsQv/dIvsWnTJoQQ/N3f/d2iGtZabr/9djZt2kStVuOKK67gW9/61rwxaZry3/7bf2NiYoKBgQH+w3/4D/z4xz8+9h+C59TBaGxeYNttzPRh2HcQ+ewL1L+zn6H/e4CRrx9k+J8PMvDtF4i//wLy2QNw4BDm8Aym0cSmaWmScpvv3VeRu+tpimk0MYdn4MAh5LMHiL//AgPffoHhfz7IyNcPMvR/D1D/zn7ksy/AvoOYmVn38DEvXALNasXvWXk8PazBZDmm3cFMH0bsO0C4d39XS0a/5vRk4DsvEP3gBcSPX8BMHcbOzJatBnM3f1ryAI5xGtZJsTOzmEPTiB+/QPTDAwx85wVGvu7qV1oYPPMC7D+ImT7svk+Ws2ya1mrBa5XH47rfKOWMUQMD6IlhmlsHOfzyhMkLFAe3w8GL3GvygoCpV8Y0tg2Srx/Bjo0ghoYQtZozQgSBq1W9KoNErYYYGsKOjZBvGKGxbZCpc2MmLwi6tQ9uh8kLFIdfltDcOoieGEYMDLjvpdTqDmPwWuXxzNeqoUH0xAitLUMcfnmNgxcGHPh3ggMXwcHtksnzQ6Z/JqG1ZRg9MQIjg85MFQZL60lVOwwQ9TqMDqHXjdDaMsz0zyRMnh9ycLvkwEVw4N8JDl4YcPjlNVpbhtATI4ihQa9VcNK16mTsWa3kvo1Gg9/4jd/grLPOolarce655/KJT3zimP5sPvHqTECWrbKCABtKikSQ1wX5oEUPFxBaKAR5JpCFoEgkJpLIUHVbbQkhsFK6uPWu+UqWfZzLlmChwkSSIpEUA5T1NQQWMkmuFUUNiprAhmXfZ/EiWhp6PJ4zk/LkTKUnOpYU/VoVWEwuUR2FygRFLDGRQgbK9WGuzKFCMs+NXumMEG5coDCRoijrFwOWYlhDaDC5BKsoasI56ysdVMprlcfj6WF7KTIYoBA0i5gpPYgShjldY66IyQrlUmS0O/En+hOvlqlLmSDT/UwhSPOAubJ+juKwrtMsYihkWbdMkfHGK4/H04+1UKVYabClVh0qBiGAw7pOI48pckWgXUqDMHbliVSmp1eyEBS5opHHHNZ1lDBLaJX7Pp6Ty4MPPsgtt9zC3Xffzete9zo++clPcs011/Dtb3+bLVu2LBq/d+9e3vzmN3PzzTdz//3384//+I/s2LGDtWvXdluj7tmzhxtvvJEPf/jDvPWtb+Whhx7ihhtu4Iknnui2Rm02m7z61a/mv/yX/zKvpWo/f/RHf8Sdd97Jfffdxyte8Qr+4A/+gCuvvJJ/+Zd/6bZGveWWW/iHf/gHHnjgAcbHx/mt3/otfvEXf5Gnn37at0Y9nTHa+RGKAtptd61qZ9NH17BpewmkR8S6uhQFNsvctUazLL9E7ZXW9Xg8qw9rS01xxk5arSV1Cl6MVrn3bZ5hCwFpCk13+G/Z+l6vPB7PQspDzQQBRCF6MKIzqlzgwqaCeKxNGGryXNGO6phYoXJJOBcitEGlGXQChDVYLefri+zVtnGIHojIh0IXwLAW0nFNtL5FGGqyLKAznRB0AqRWxFMRKgohDRBKlrVXsbHd41nt9GtVGHS1qj0h6GzSyDUpQaAp8oC2SjChQKWKaCZy7ZjbKbajnF9huWeBZeKVqUWu/hoXRpOOWdjUIQgLikLRmY5RqUJoRXQ4Qk0HEHitOpmcrD2rldz31ltv5Ytf/CL3338/Z599No888gg7duxg06ZNXHvttSv6863yeI8ziLJXqg1chJ4NwEQWIoOKNSLWmBBMAFaBlQJUaao6kjmqMjkIN94oF1dqAtdaUMQaFWuINSaymFCU95eu1eBqNzL404Mez2KkwCrpdKRPq2SsITKLtarbp/ko/8sqx1jpItqtcjplInr1u1oFpqq/2nWqwmuVx+Mok1qwVTtAEJlkKq3zk2wNz+dj/CRfw3RaJ03DMu3KxSNXqVS2PNXskq9MNz2m29pZ92rLHLI0ZDqt85O8rJ+tYSqtI3LRq933vVY1Xqs8nh6VSVS71u9kkkPpAPtKLflxNs5smqAz5RKvtEUUfQbRo5hEK6Oo1BaZgc4Us2nSrb8vX8OhdABygShKM6k3iTpOolbdeeedvPOd7+Rd73oX5557Lrt27WLz5s3LntK755572LJlC7t27eLcc8/lXe96F+94xzu44447umN27drFlVdeyc6dO3nlK1/Jzp07eeMb38iuXbu6Y6655hr+4A/+gLe97W1L/0isZdeuXfzu7/4ub3vb2zj//PP567/+a1qtFn/7t38LwMzMDPfeey9/8id/wpve9CZe+9rXcv/99/ONb3yDxx577Nh/GJ5TCyFAVqkKITIKXbJC9QqCvpPNsrcXtdLa5We6J6Cr5IbyJaMQEYSuvlzlJ5wr/J6Vx7OYUk8WpcAs1Kpqz7z6zEprQ9fQtZRW9afQHJMOnul4rfJ4lsUKQFg31RIWKS0Id90uJyFlGIP7R7G01gjhapT1pLR99W2vvn/K3MNrlcczHyGcRgj3sn06IoSFUl+otERy7PMq6Kvh6lZ6ZRfW9/Mqxyrcs1rJfffs2cPb3/52rrjiCs4++2x+7dd+jVe/+tU89dRTK/7z+cSr05lqIVhuXqEUOgnIBgXZMNjxjInxBrUwJ9OKF4pRMhMSzQqKmkJ1AmRYOjsLl/gi+ttNlAs8oSQ2DDBxgE4U+aAgG7HosZz1a2eJlKadhxySg2SHEoKmwMSqTJBxLQytkMAqfFh4xNnti6jl8ZyOLNAqG5ZaMiDIK60aaxAHBe08YCobRWhFfligE4WKAlSguovApVREVIvFQLk0rbJ+NmzJRzVja2ephQVpEXBIDZJPJeQtga4FBGHgtQqOn155rfKc7hiDLTSikxHOaZJDLkXvX368nulOjXqYkxYBP9m/BjkZkkwK4tmCcC5HdjLIcpe6oOdridUGURSQSWQnI2xEmEiQTAY0awk/zNbx/+YhcVDQykMOTA6THFDEU5Zwzn0fW+jlW4OtFrxWeTwOrV1yTJoRzhUkUxITBXxzZBMH2wMkpZbsf34N4cGwqyWqnSPSrGyvtbgdoDXWrQnzApHlqGZOmCjiKUm+P+L5Yoy/sxdSD3M6RcALh0ZIXghIDlmiWfd9bFG4k4mrmeOsVbOzs/Mux3FMHMeLhmdZxtNPP8373ve+edevuuoqnnzyySVvsWfPHq666qp5166++mruvfde8jwnDEP27NnDrbfeumhM/ybW0di7dy/79++fd684jrn88st58skn+fVf/3Wefvpp8jyfN2bTpk2cf/75PPnkk1x99dUrvp/nFKLfxBCFrrVDGEISY4PSAGUtIi8gy7FZhs1yyHOsNlitWTL5pd/AoJQ7VR2G7h5RBFGIDYNe/UJj2x03T+uk2Czv1V6N6z/we1YeTz9LaBVB4H5VCitdemh3vZdm2DR1OlK2QD2ilpStceg3c8VRN7mmW19rbCedp4erXqvArwM9nheDOI6a4f/qrAyvVR7PktjK/NQ1irqXOY7/qVd//WRZG9EzXfm/UgtYZXtWK73vZZddxuc//3ne8Y53sGnTJh5//HG+973v8Wd/9mdH+CHMx3uRzwRkzxylE9k1Ro2PN7hw4if8u4nnuGB8H0PjTYrRgmzItQPUsTNAoBSoyhQhuy8hhEutUqVRIlYUdek+P1owNN7kgvF9/OzEjzh/Yh/j4w3yEUs+5IxdtjR1HTWlxuPxrA6kRATKxYsmkmxIkI0Y1k3MdrXqVRP7Scbb5KOGfNAZr0wS9FoBLqcnshcxapIAXVNkQ4J81JCMt3nVxH4uWvssF078hHUTs2QjVX0JYeC+l9cqj2d1U6ZUWW0gz5yZYTaldshQ32cJ9ya88L21/Ov3NvCT768l3hsz8GPJwAuGeConmEsR7dS1ucmL7uZ79UJryF0bHNFOCWY7xFM5Ay8YBn4siffG/OT7rv4L31tLuDehvs9SO2QIZ1NIM8iz0tC1yjfdPZ7VTKVV1j34E52MaCajftBplfrXhH3f62lJ7ZmIgecF9YOGaDpFznWcOUrrnp7Mq296RoeOG1/VH/ixoPZM1NXCfd9bi/pXp1X1SUM4myFKA2o3+c9r1XFh8+bNjIyMdF8f/ehHlxw3OTmJ1pr169fPu75+/Xr279+/5Gf279+/5PiiKJicnDzimOVqLnef6nPL1dm/fz9RFLFmzZqf6l6eU49uClUtQQwNYtcMU6wbId84Sr7J/arXjmDGRxHDQ4h6rTRoLZH80n31JdKEzhwh6jXE8BBm3NXrr1+sG4GxEcTQoPseVbqW56Rx9913s23bNpIkYfv27Xz5y18+4vjdu3ezfft2kiThnHPO4Z577lk05nOf+xznnXcecRxz3nnn8dBDDx3zfRuNBr/xG7/BWWedRa1W49xzz132BLbnzGKhVjE2gl436rRkg9MSMzGCXTOMGC61JIq6h5eXTVGoUvmUcoarWoIYHsSOjaDXzq+v143C6DBiZMhrlcfjOSZEv9FKzHtj/q9Hott9wrsUPB7P8cX2SZEoDVhHTedbUV3R+3xfAmAled50deI51fesVnrfu+66i/POO4+zzjqLKIr4hV/4Be6++24uu+yyFfwUHD7x6kyhNElZJcrWWpbhpMP6eJY1YZMZVWcoSWnE9bKNl8AGC9oNVnWsnXdysGozaAOBKVt3iUQzlKSsj2cZCVrEsuDZZA2H4l67we4kbRVTmWqPVy2P57SmMncKgQlLrYotI3Gn1JI2sSyoxRmdMMGEChvgWhP2RbgLKeY9IxSyp1dV60ATuPo2MtTijPXxHBNhg7rM+HE8yoHYoiMwoZj3vVYzx0uvvFZ5zgjKk8YiKwjahrAlCGedBplAITSEcxDOWYK2QaYFIiug6DvtbIyrUyGckUEoBYWrLdOCoB0SNpzOmUBiFchcuPpNQ9ByY9F6fr1Vitcqj6ek1CkKpz+qbQibgmjOZbNb5dqghnMQNkqtyjQiX5zItyTWunFaIzulFjYkRglMJDCBcvUbgrBpUG1T6qDXKzj+WvXcc88xPDzcvb7UycF5n1swr7XWLrp2tPELrx9rzeP13X6ae3lOEYTs7g+JIMCGATYO0fUQHcteyou1KMDmIaKTYoPAmdmlgCOF6FV7T4Fr2WWjEJsE6CSgqPdSapQSyEy7eVgQYKuHikKCXZ0pfSdzz+rBBx/klltu4e677+Z1r3sdn/zkJ7nmmmv49re/zZYtWxaN37t3L29+85u5+eabuf/++/nHf/xHduzYwdq1a7nuuusAdxr6xhtv5MMf/jBvfetbeeihh7jhhht44oknuPjii1d831tvvZUvfvGL3H///Zx99tk88sgj7Nixg02bNnHttdf+dD8oz6lLn1ZVh5Bt5LREx27PXWgLJkSB06cgQGjdNSkcSUqEdEntou+Qs40CTBK4A8xlfSUFIgvdelKpngFiFWsV+HWgx3MsiBP0H/qJqnsm4bXK41mG/q6AC/8D7xqkXsSaf2G7wXlv+b9Iy7Fa96yONuauu+7iK1/5Cp///OfZunUrX/rSl9ixYwcbN27kTW960xH/TBXeeHUm0G9mCAQmABsahsKUibDBWNAgFJp6mCMjjQ0sVlEaGfrMUdVmVv/vq/rCPRC0CmxgkaGhHuZMhHOMqhYAQ2GKDQ0mkJigLz1rNW+QHs9+zP7/EZ4zASGwUvb0JLQMRR0mwgYjpZbUopzpyDijpyrd6sdwIsdKgZVgJRAaalHORNhgIpgjFJqhqIMNbTnGG0S7HC+98lrlOd2xZdJLUSA6OUGzIAoF8WGB1M6ELgzEhy1RwxI2NLKTI9Icm+fObGBtL+2lKmsFwpatI/Ic8gLZyQkbEXEsEQbA6ZczM1iiRmm86uTYopjfame14rXK43FUqVfaIDo5YavARIL8sEDmTqukhnjGEs0ZwmaBSJ32ULg2g8vqiTXu/aL8TBgQNguihjN1IXv1g6bTqrBV9LRqgf6tSo6zVg0PD8/bxFqOiYkJlFKLTgoeOHBg0cm+ig0bNiw5PggCxsfHjzhmuZrL3QfcScSNGzcuWWfDhg1kWcb09PS81KsDBw5w6aWXrvhenlMIIZzZoEx5IYkxwzWK4Zj2REhRk109ieYUYTMgEgKpNaItoTSKWkCgsaaXUizKxOOqtohjbM3VT8diiroiG+rVD9oGBARKoPICkWbOhKo11orVmdB3Eves7rzzTt75znfyrne9C4Bdu3bxhS98gU984hNLnpC+55572LJlS7ddxLnnnstTTz3FHXfc0TVe7dq1iyuvvJKdO3cCsHPnTnbv3s2uXbv47Gc/u+L77tmzh7e//e1cccUVAPzar/0an/zkJ3nqqae88epMZYFWiVqCHq5RDMV0JkKKxO01CW2JZxVBMyAUAlVo95++Nu4lLLDA4F4deBauHSpx7OoP1cnXJBQDinS4NHYZS9CxJEoQBBKVF5CmXqvArwM9HuiuAYV2reFluyBqGPRhSXYooK3rtJUFLYgnFdEMRHOGoOkO/om8wBrdPcRTPbh2NbUzexZunGznBKEimlPkh906sCUGQFlEIQlnZLkvZpDtokx+N34t6LXK41lWq4pEkh9SZEWdNLCIXJBMSeLDEDUMqpUj0r49K7OEntjyerVn1clRrYCoERIfdgmknaBGHlpEIYgqrWp6rZrHKtuzWsl92+0273//+3nooYd4y1veAsCFF17I17/+de64444VG69Ou75KxxpDvWqQVdqVwMQg6pqzBw9xXvI8F8Q/5oLkOc4aOEy9nqJj0KEoU6+kazOolv5PwZ3CkdjSTKUjgY5hoJ5y1sBhLkieK+v/mLMHDyHqGhPTS73yhgbPKsVr1XyE7BlEUQIdCnRiEfWCbQOHOD95jguS5zg3eZ6NA7NE9RydlFoSVi1Qj6ApXcOodOl8oUAnENVzNg7Mcm7yPBckz3Fe8jzbBg4h6gW6ZtFhqYNVi1Ufo+xZhXi96sNarLHOONDuIGYbhPtnqD/XYPQHKWPfyRn/ds7Yd3JGf9hh8Jkm8b455NQcdq4J7Q4mTbFVq0Fjuy9nuCowaQrtDsw0kFNzxPvmGHymyegPO736380Z/UFK/Tl3fzHbwLY77nuVxi6PZ7XhtaqPSquyDNtqIWbmCPfNUn+2yZrvp6z5bs74d5xWjfyww+CPmoT7ZhGH57CNJjZNl9eTfh1MU2yjiTjs6g8+02Sk0qrv5Kz5bs6a76fUny3rz8w5rcoyr1UniSiK2L59O48++ui8648++uiyxqVLLrlk0fhHHnmEiy66iDAMjzjmWMxQ27ZtY8OGDfPqZFnG7t27u3W2b99OGIbzxuzbt49vfvObp43xymvVEgiJiEJEvYYeH6J11gAz22KmzlUcutAy9Wrrfn2lYvplEY0tdYq1w9jRIcRAHRHHiDLNqttaUKnetThGDNSxo0MUa4dpbKlz+KURU69cUP9cxczZMa2zBtDjZTvDKOwlwHuOC7Ozs/NeaZouGpNlGU8//TRXXXXVvOtXXXUVTz755JJ19+zZs2j81VdfzVNPPUWe50ccU9Vc6X0vu+wyPv/5z/P8889jreWLX/wi3/ve97j66qtX+FM49fFatQTLadUrFYcuFBx6teXQBYKpnwmYOSei/ZIB9JohGBpAJEduCdhriZrAkNOg9ksGmDknYupnAg5dUNa/UDD1SsXMtj6tGhjwWuVZtXitWgKt3Tqt2SKYnGPguRYjP8wY/4Zl/GnF2NMB419VjH/LMPYvOUM/ahMeKPetGk1sJ3XrtTLduHpZbdz1jlsDyqk5wgNzDP2ozdi/5Ix9yzL+VVd/7KuS8W9YRn6YMfis+x622cKmqavn8axCvF4tYKFWPdti9AcZY9+0jH1NMv60YvxrkrHvaEZ/kDPwnBsnZhvYVrt3AHkJrNbu/VYbMdvoauHoD3LGvqMZL+uPfU0y9k2nVQNeq04JTtae1Urum+c5eZ4j5fw5t1IKY1Zu0jutEq+ONYZ6NdA1M0iBVQoTgI4tQZKzJZ7iZ8JDrFUBU2aGlySH+X6ylkZStgMMFqReidJ80Cs+L+2qag2mE8tIrcNLksO8PJxhTAaMykN8O54iSHJ0HGECXC3VMzOs4jRkzyrDa9URqIycIegY4lrO2ckkLw+nGVOKITHJhmSOf62lNOIBTOBSr1ArSM8rW64a5ZL/TGwZrKVsSOZ4eTjJpkAwJQ/xw2SSKMnRUezaEVamLo9nFeL1agmMxuaA1hitEZ0OYjognkzma1FeYIsCshyTZb2Nqv5Uqj7TgbUC0CAkxlhElmFbCtFsoaKQIAiIwqD3OW2wnQ4UBabTZ5IwfkLlWX14rVqCfq2yFtHpIMOI+GBEHJQP/ayFLMcWGvIMk+VOo6qWqMsZo0yZqJBlrkVqmiLabeRMjAoCokD1tLDQ2DTr1a9MV16rThq33XYbN910ExdddBGXXHIJn/rUp3j22Wd597vfDbgEmOeff57PfOYzALz73e/m4x//OLfddhs333wze/bs4d577+2mwwC85z3v4Q1veAMf+9jHuPbaa/n7v/97HnvsMZ544onumEajwQ9+8IPu7/fu3cvXv/51xsbG2LJlC0IIbrnlFv7wD/+Ql7/85bz85S/nD//wD6nX6/zKr/wKACMjI7zzne/kt37rtxgfH2dsbIzf/u3f5oILLljx6cKTideqBZT7TEJJCCOII/KRhNaEorVBkJ6TMjrWIA4L0jxget8w+aEAYSVBK0JYi8pyyHOENWXqVV87gNLIQBRiazHFcEK2JqK1TtI8y5KPF6zZONutf3hqEKFjrFSEcwlqOoIsR6gUqyWLUmo8L4rNmzfP+/0HP/hBbr/99nnXJicn0VovOtW8fv36RaeQK/bv37/k+KIomJycZOPGjcuOqWqu9L533XUXN998M2eddRZBECCl5C//8i+57LLLjv4DOA3wWrWA5bRqraK1XtB+acrwmhZRoGlnIc3BQYqDCmEUYTMmNAbZydzaTevFLQGrFoZKIeIIM+hS/1rrFM2zBOmEpr6pQS3KSQvF3HQdrNcqj8dr1RJY69Zx5TpNWkPQ7hAkMfH+GjZUoFwynmy7tGPRTrHtNqacU/UO4Cx8iKyxWiJkeZAwzRCtFmGzTXAwph4GmFroNFNbRK6RzTZ0yvrtztHXmR7PGYrXqwWsRKvKKY3sZC5pvd3BttvYvMBWe1d2iTmPdemiNi/c/rrWiHbb1Z9MsHGISaJufa9Vpx4na8/qaPcdHh7m8ssv53d+53eo1Wps3bqV3bt385nPfIY777xzxX++F3VU4ud//uf5H//jfyy6Pj09zc///M+/mJIroj8O+txzz2XXrl1s3ryZT3ziEyfsnqcbVriXlJZY5iQCYhGSCEEoNKHSZfPOF9cv1QpAWpQ0JDInEYJYhMQCYpkjpe1+hxfVj9XjOY54rTp1sUKAACkNodAkAhIRMCANscxRXS0RKzdFVaf/pMAK16JQlVo4IA2JCEgEhEIjpQVZ1cen83lOKidLq8Dr1bJY4xJftHGLvTRzi79WB9tsu1erDWl5UrAojmi6mvf7spWh1cZ9LstcnVa7r3a52EyzcrFpltkY83j+7fBadQpSaVW5MUXqNpLmaUknLbUqn5fGd9QNJjs/rc9m5UZYa4EWttvz6nutOvnceOON7Nq1iw996EO85jWv4Utf+hIPP/wwW7duBVyC1LPPPtsdv23bNh5++GEef/xxXvOa1/DhD3+Yu+66q9u6C+DSSy/lgQce4NOf/jQXXngh9913Hw8++CAXX3xxd8xTTz3Fa1/7Wl772tcCblPrta99Lb//+7/fHfPe976XW265hR07dnDRRRfx/PPP88gjjzA0NNQd86d/+qf88i//MjfccAOve93rqNfr/MM//ANqmRSRpfDrwFMQKbBKYiWYEEwEQVwwnKSsSdqM1DqIRGOi6qCgG4+UzmTVl/Qi+tduony/eyCxPDQYWUSiGal1WJO0GU5SgrjARJSHbyjr+3Xg8ea5555jZmam+6ra/i2FWLAO75rqjmH8wusrqXm0MXfddRdf+cpX+PznP8/TTz/Nn/zJn7Bjxw4ee+yxZb/bi8Fr1SlIpVVBeaAvgiDWDCUpo7U2Q7UONjLo2HYPCtry4LEQYtn/frvvqbJjRXlgUEcWGxmGah1Ga5VW6Z5WdbXQa5Xn5OG16tTDHXSp1oEZtDvIZhvZaCNn3Uu0OohWB9vpuLVctQ9ljrwOrPbC0Nqt8Tqdbq2qtmy0nZGhSjvOC/d9jlLb4zmR+D2rU48jatVcB9lwWjVPS7qGqyMYzas2gdb07Vm5+qLVmVffa9Wpx8naszrafQEeeOABfvZnf5Zf/dVf5bzzzuN//s//yUc+8pGuOWslvKjEq8cff5xvfOMbfO1rX+Nv/uZvGBgYAHox8SeCKg76fe9737zrR4qhTtN0XqT17OzsCfluHs9yCJzP7XjV8hwbXqs8npVzvPTKa9WxczK0qqp/LHrltcpzKuC16uThtcrjWTknW6t27NjBjh07lnzvvvvuW3Tt8ssv56tf/eoRa15//fVcf/31y75/xRVXdE0QyyGE4Pbbb1+UftNPkiT8+Z//OX/+539+xFpHwq8DPZ6VcSL2rIaHhxkeHj7i2ImJCZRSi9KtDhw4sCiNqmLDhg1Ljg+CgPHx8SOOqWqu5L7tdpv3v//9PPTQQ7zlLW8B4MILL+TrX/86d9xxx3FN3/Na5fGsnJM9t1rNeK3yeFaO16qTh9+z8nhWzsnWqpOxZ3W0+4JbT376058+Yo2j8aKbgz/22GPs37+fn/u5n+OZZ575qb7ESngxMdQf/ehHGRkZ6b4Wxl17PCecXvzX8Xl5jhmvVR7PCvFadVL5t9YqOHa98lrlOSXwWnVS8Vrl8awQr1UnHb8O9HhWwEnas4qiiO3bt/Poo4/Ou/7oo49y6aWXLvmZSy65ZNH4Rx55hIsuuogwDI84pqq5kvvmeU6e50g5f8tcKYUxxz/R0WuVx7NC/NzqpOK1yuNZIV6rTip+z8rjWSFeq04YL9p4tXHjRnbv3s2FF17Iz/7sz/L4448fx6+1PMcSQ71z58558dbPPffcv8VX9Hg8pxBeqzwez+nAydIqWLleea3yeDxeqzwez+mCXwd6PKc2t912G3/5l3/JX/3VX/Gd73yHW2+9lWeffbbbxmHnzp38p//0n7rj3/3ud/OjH/2I2267je985zv81V/9Fffeey+//du/3R3znve8h0ceeYSPfexjfPe73+VjH/sYjz32GLfccsuK7zs8PMzll1/O7/zO7/D444+zd+9e7rvvPj7zmc/w1re+9bj/HLxWeTye0wGvVR6P53TA71l5PJ6TzYtqNViJRRzH/M3f/A1/8Ad/wC/8wi/w3//7fz+uX66fFxNDHccxcRyfsO90KiKsi3YzRpBbRcdCanM61pJbhTaydCGCOEobgOXqYwTaSDompGMtqc1JLeRWYYxw3+FF1j/jsOXreNXyHBNeq05dhLVgBcbIrlZ1bEHHClITorta4vpArwhbnj41FmEtwgp0VwtFWd9plbUCTFUflu0XvZo4Xnrlf5THzMnQKjh2vVpVWiUkQgqEkogggChExDEECoRwmpHlWGMQojzHUPagt0Y6ParGdWuKRbVRChFFrr6UEIW9zxXa/XOWgzF9tfW//c/jVMJr1UnDa9UpSL9WRSEEwdJaVWiEdP/+rNZgisUatah2qVlKIZRy9cMIEahFWmVF6up7rerhteqk4teBpyDGIrRBGJAFyByyNGAujciNpJMH2I5C5gKZW4Qu14HGuBaWtpc0tPAhhrVunLuHReYWmQt0qpjtxGShopMHFGlAkrn7CwNCG+xK15pnKidxz+rGG2/k0KFDfOhDH2Lfvn2cf/75PPzww2zduhWAffv28eyzz3bHb9u2jYcffphbb72Vv/iLv2DTpk3cddddXHfddd0xl156KQ888AC/93u/xwc+8AFe+tKX8uCDD3LxxRev+L4ADzzwADt37uRXf/VXmZqaYuvWrXzkIx/pmrOOF16rTkGMBWsRhXValUGaKpppRKYV7SxEZBKVCWRhkdrtP6GdVi3XctfpWKmD2na1UGWCIpM0OjHaSNI8oEgVYaVVhfVaVeHnVicNr1WnHkIKkAIRBm5PKY6w9QQbKqxye94yzSHLXRsoa7EZiO56bfm/CPP3q9xemK3FEIWYOASJm6fl2u2/CwFaY4sCYcWqXwZ6rTp5+D2rU48japUQbg4lpdtzAqclANpUZoSl962EACHdS6le/VqCjUP3qup7rVoar1UnjBdlvFq4iPi93/s9zj33XN7+9rcfly+1FP1x0P0njB599FGuvfbaE3bfUx1rrJswGYvQ2i3aOoK0E/JMZ4Lvx2uYMk0OmxGe74wy005QqUDmIAoQ5YKSaiOrPzbbmu57wlSbV6BSwUw74fnOKN/PRxiXLfbrcZ7pTFB0QuLULT4xxgmkWcULRG+8Oql4rToF0QZRmN4GVrvUqmgN46bJfr2G/Z0hmu0YWW40Se02sVZkjtIGqXsbZK1OxE/aI3w/H2fOzHJID/NMZ4K0HRJ1N93Nys1dZzJ+snXSOBlaBV6vlkWWC7YgQAwOwPAgth6TjyYUicJKZwwNmgWqUyAbHeRcC5tm0OlAlpUb9vPnP0KWi0IpEFGESBJEHGGH6pjBBJ0EFAMBVrj5WdDRBIc7iFaKmG1AowlFgc0Bs4pXh16rThpeq04x+rRKDg1iS63KRhN0onpa0ixQ7Rw510HONrBphk1TbJY5jVpKT6RyG+5RhIhjp1XDg5ihBF0LnVaVWqg6mrDUKjnbwMw1vFaB16qTjF8HniJYt1lutUHkGaQh4UyH+qQCq7AqZuZQyHTg1mX1SUk0C/WDmmg6I5jtINopNsux2riNcu32rCwWAW7jHBDtlGA2BAH1usRKRTYXMjM31q0fz0oG9llqU5pwpgNpBnnmatoVrjfPNE7yntWOHTvYsWPHku/dd999i65dfvnlfPWrXz1izeuvv57rr7/+Rd8XYMOGDXz6058+Yo3jgdeqU4RKq6xF5BminRLOptQnFcI4rZqbjLDKmToHDgniaUv9oCaYTRHNjlsLat1dB86vX+45aY1NM0SzQ6gE9YMKqxRBS9FpjtAKLUILkjnhtOqQJpxNe1pV7d2vRq0CP7c6iXitOoUQojwUU67TRofRE8PkwxHttSF5XWAVCA3RnCFsGjenOtRAtlNsqwWdFFHNqfr1Ssie4SqJEfU6thaTjw+SrYnIByTZkOzWD1uW2sFBwtkMNTmLFLPYNIUsc4d9vFb99HU8x4TfszqFWKhVa0bQ40M9raoJrASpIZ41BE1NPJWiDs0hWm1sq41pd0pz1IK5T2m6EkohawmiXoN6DT0+RDoWUwwo0mGJUe6wTdju06pDc8jpGa9V4LXqBPKijFd79+5l7dq1865dd911vPKVr+Spp546Ll9sKW677TZuuukmLrroIi655BI+9alPzYuDXtUY0zvZl4JtKZ5pjPPNeDNjQYPDus6Pm6M0WzFBB1RukYVFFM4cVW1eLcRq407jFAZZWFRmUR1BsxXz4+Yo3xjazKhqMVUM8kxjHNtSyJTeCcXVKlqeUwKvVacOXZOotaCdlgRtSdYK2Nsc55vRZkZUi8liiH3NYbJWSL0tkLlBVEZOcwRNqQykxo2XuUW1Ja1mxP7mMN9sb2Z/MMeMrrO3OY5tBaiOQGVO31z9VWwS9ZxUTpZWgderRQjhzAZBgKglMDJEvm6IbDSiuV6RD5WbWAaiwwFR05IciogOKmSjA2WijHswqBH0mQ6q1JgggFqCGHCGq2ztAJ3xkGxQkI24hacoIGxYBl4IiQ7HhEIgtIZ2x9W2R0mq8XhOAF6rTiEqrYoiZ4oaGSLfMEQ6GtJap8gHehvu8XRI1IipTUaESiIabYCuRi3Sk34djGPE4AB2sEa+bpD2REQ2KEnX9OqHzYD6gYB4qtSqovBa5Tnp+HXgKYY12CwH0UZNhdSFIJyNiefKTfdKr+Y0QVMTTaeo6aYzXTVbziyqtdOV/vVaZUDQbr4lgCDLGSgM4Vy56d7/gLBtSCZzwtkUNdXAttruey00SXg8/0Z4rTrF0LqnVYfmqAPRTEQ0F1IkEisFUluiOU3Y0IRTHdT0HLbdwXY62LxwWrUE3eudDmJWoPKCmoGglZAPKrIhiVECYSDoaGqTOcFCrVqmtsdzovFadYqhlFunDdTRE8M0ttRpT0gaWyAfMdjAmTjjg4poRlHfrxgMJMFsB1mlIGc5gtyt10qEEBCGLuVqcAAzOkgxnNA4K6a1QZKNQLpWY5VFFIJwRjL4o4jaoYBBQOWFq13O2Tyef2v8ntUpRp9WFRNDNDeXWrW5T6tyQXJAEU8rBvYrBgSomcAdrNEaMrDF4rValcou6jXsyBB6pEZzc53mRkU6Cp11Ghv2adVzEbXJgAHh1ovgtcpz4nhRxqv++OV+XvWqV/GqV73qp/pCR2IlcdCrkipW3TozlSxA5JK5PGYyH0QjmCnqtPIQkylEIcpY4760K+glvljrXKP9vy9Tr4QGUQhMLmnlIZP5ELlVTOcDzOUxIpcuaaZrlFjFJ3Gg23bxeNXyHBteq05BrDNgdfUkF8xlCZP5ILlVTOaDtLMQconULu1KHMlw1Y/p0yrjjBHkklYWMpkPAjBT1JjLEkQu3P1XWnsVcLz0ymvVsXOytAq8Xi1JeWpGBAEmCSkGQ7IhZzTIhy0mcA/vrHAmKZUqgrkQkWtEFoJKyxaEAlu1IaTcxBKijEB2sccmCckHFemwIBsWpGssVoHMBSYUhC2JzAOCJEQGAShV1ly9C0OvVScPr1WnGEIihOhqVV4PuqaobKjUkgJc9JUkaAcEcYhIc9eSUKnSwLCEnggJUkIQQBhg45B8IHBaOCJIx5wWygJMJAhaEpkFBLNeqyq8Vp1c/DrwFMJapzVaQ5Yh2h3kbEBUuDVhFDszQzehr1Mg5zqIRgub5y6dr9901d9y0EhnIAUoCmdosBYlJbGxBM2AoBl066vUuIS+ZgfanW5tu4rXhH7P6uTiteoUYimtmlGEuUYUFl0r00R1L01UNNrYdgfSFPLSxLlUIlWZqIUVblwqsYAMFJG1qFbotEq5/XqVGpf410q9VvVxMudWd999N3/8x3/Mvn37eNWrXsWuXbt4/etfv+z43bt3c9ttt/Gtb32LTZs28d73vnfRw/fPfe5zfOADH+CHP/whL33pS/nIRz4yLyllJfdtNBq8733v4+/+7u84dOgQZ599Nr/5m7/Jf/2v//XY/5BHwGvVKUS5BkRJCAN0tQYcFWQTObXxNmGgyQtFhwGslARNQTEQINPAtY+XCqE01iiXfFW14FLKJV4FATYKMWXScTbk9qqycUOyvkkYaLI8oBMmpLMhKpXoeoAKA1Cytxe2Svt4+XXgycPvWZ1CLNAqUyv3k0YF2URBPNYmCAxZpkh1HZCEDUlSD5Gd3B1alq5rBAv1pOwmUe1Z2SRE18NSCyEdNwTr2kSRpigkaVgjnQtQHUmt5va4vFZ5rTqRvCjj1cnkaHHQq5ayn7xLvQKZCebSmBfSYVIT0NAxjU6MzaR7X7s+8VSpVNXmVbWA6/7aS6gRhXVGiBxsqmh0Yg5mg7R1yOG8zlwaI7OyjaG2R06nWS2c5Nh2z8nDa9US9JlERUFXq2bShIPZEC0TMZPXaKcRIpOuHWqBa6VqLLbUqYWpVNa4NhNQGqlMaULNQWSSdhoxmTlj11yeMJMmyL6Wq/3fa1Xj40VXLV6vlkC6TScbBehEkNcF+RDkwxYbWtAgc4XQgqIpMXG5iRUot1llbNkKou8vRNmzHikgcLVNHFDUJPmAIB90J35QzpQKkrwuCNsSGzkjQzdRazXjtWrV4rVqAaVOuY3xAF2TFHVnusqHLQQWCuHmPIWgqElMVLYnVBIrjqInQrhxYYCJ1DytykZ69a2AuC7QlVYFXq8Ar1WrGK9VS2B76cW2KBBZDkqiWgqh+8wGnQLRce9bY3rt5o+WSlyZJbTp1hedAAUgRLe+TAtEmiPyAlsUvdqrOfHK71mtWrxWLcFCrcoLyBSqU3QPKQtjkZ0Ckbn3bdmuy1bGrSOW7x0WROuyfoEUgkAKrHRJoSrVvfpeq3qcpLnVgw8+yC233MLdd9/N6173Oj75yU9yzTXX8O1vf5stW7YsGr93717e/OY3c/PNN3P//ffzj//4j+zYsYO1a9dy3XXXAbBnzx5uvPFGPvzhD/PWt76Vhx56iBtuuIEnnniCiy++eMX3vfXWW/niF7/I/fffz9lnn80jjzzCjh072LRp0xnT3sprlee0w68DVy1er34KTtB/7/2pfp4FeK06YZx2xivPEhjXKlDkBapjCBuWaEYwOTnEN4B6mNMpAmYPDRBMB4QNCFrGLeTyordBVZkPSqy1CNtbDKpUE7QVYUMSTAfMqgH+OXoJSVC49KvJIZIZQdiwqI4pF6BmXk2Px7OKMQZbaMgLgrYmmlPkM5KDh4b4ZytIgoJ2HtI5VCM6LEst0chOqVPGLq8nxpRappFZgWoHhA1FOCPphAnfrG2kVmrhoalB4hlJNGcJ2u772EJ7rfJ4VjvdHvESwgjiiHw4pjWhaG0QZNs6rJuYpRbmZFrxk6E15JMRwkqCdgjWEmYFIs3cmsOWplBj3CkcpSAMEFGErcUUQzHpWEhrnaR5lkVPZGzaOE2kNM0sYvLQEK08AaEIZ2PUVARZjlApVksW9bj3eDyrg0qrhIAoxCYR+XBEa0LS2iAotrVZPz7bnVe9UF9DMRkgtCSaixHaoDopoqVAaacnC04PClUaReMIM5SQj8a01jqtyicK1r9kmlqY085DDk4N0cxrWCGJZiLkdARp1pf657XK4/H0tdlqd9wcqZMStFNsoJyuWev2pwrtWgumGeS5MzRovfiwIADGyVd1zNYYl3ylNTLLIVDIMOjVLzR0Upek1UmP2BbM4/GsTpbSKtVOkf1aleZOnyotKXVnybSrbuEy9UprTJq69jnWIrIcFQTIOPRadYpy55138s53vpN3vetdAOzatYsvfOELfOITn+CjH/3oovH33HMPW7ZsYdeuXQCce+65PPXUU9xxxx1d49WuXbu48sor2blzJwA7d+5k9+7d7Nq1i89+9rMrvu+ePXt4+9vfzhVXXAHAr/3ar/HJT36Sp5566owxXnmOjXkmAzvvjfm/HokqTOFoxnePx+M5Fmz/sk04ObKie929XoTulD4GURmJyrr956F9KpPn3xJvvDqdKRdt1lqEcYYD1SkImyHRrCA9FDFph5GhwWiBmgqJSmNU0NbutF9ljrJu8Wf7hE1oDVpipULkBTItUG1F2FBEMwIrQw6Ew0hlMblETIVEsxA13ElFZ5Qoax5p8Xkm408PejyLtMqZRDVh05lEs8mYSS0RgcHkkvCwIpoVRA2D6mhErt0GvLXzNGr+LWx3g0qkGtXRRA1LNCOxKmAyGkKGBltIxHRIOAth05b1C+xq1yrwLnePp0JKRKCcmWFIkY4JOus1rzjrBS6b+CETwRxzJuH/F7yKH8VjdNo14mmFzEJUM0JFIRjjItuNcYYr6Ea2E4WYJCIfCkmHFe21Fl7S5mXrD3HV+m8zJDtMFkM8UXsp35s5C5Up8oOKOIkQ7Q5WyqP8Ac5wvFZ5PI6yJaqNI7LhgM64oLOh4ILN+/i5NXsZCxpMFYP8b/kqfhKsIZ2LyQ4qVDtCRqGLVy8KhBTzAhREFdkeutq6FpINOy3MN6Rs2jjNWzZ9q1v/KwPb+ObMVlSmyA4GxHGEiEKsUkB+0n48Jx2vVR5PD2vBaqx1JiqRpj2ze9+8xprqQKDtmQyOamSgr7Z0JvVOCrLhDKoL65f7X922hat17Vfh96w8nh5LaZVSPS0pjVGLtGpJY+jS9butU/My/U+K5ev3t1hd7VoFx31uNTs7O+9yHMfEcTzvWpZlPP3007zvfe+bd/2qq67iySefXLL8nj17uOqqq+Zdu/rqq7n33nvJ85wwDNmzZw+33nrrojGVWWul973sssv4/Oc/zzve8Q42bdrE448/zve+9z3+7M/+7Mg/A8/qwQqO2/+gvQytDL8O9HiWZLExyr2OpymqMnBVtStjV7/py1PiteqE4Y1XZwpley1RttgShWvhVaQSbYRrM5GDLNzLxRqXls8qSnm5un3tBqW23RoyB91R6MBCLlCZQOYWoavY5CPU9Xg8qxdjEdr0tKTUKqsF5BKZUbYsdVolTJmcd7REqnKMMMZ9TlftDIFUYYyrrzLR00KvUx6PZyF9G99WCUwANjJMJE3OiqZYG8wyp2uMJ032x0NkUc2NUQKUcC0oqqSXfpNUlVAj3LiqtgkhjnPWxC02h1MMqTaJzJlINvAvoe3V7t+Q93g8HnA6JQRWgQ2AyLA2bnBWdIjxoEFdpozEHQ7EGhOBCQQ26NOS5fSkek+48UYJTARBrBmJO/Pqr43XYiODCZX7HqUGejwezyK6pgYBuMQ90deWdF6brpUaGfprU7am14B2e8CL6h9rXY/Hs/ro1ypjl2yf3NWrYzVFdcearlYtW98brk4omzdvnvf7Nfs0egAAqIpJREFUD37wg9x+++3zrk1OTqK1Zv369fOur1+/nv379y9Zd//+/UuOL4qCyclJNm7cuOyYquZK73vXXXdx8803c9ZZZxEEAVJK/vIv/5LLLrvs6D8AzxmF6Et4MV3DQc+EsCR9B5y7nW+WGFPVpjQzGNtLqjlifY/H46moHuuVZh9rRZl61TNGYfvHHcsacH7t/vpmqfp+buU5wXjj1ZlAtRgrCkSqCTqWsGUJmwIbKGzgDAxhQxC0IOgYZOaSGDCmN8laaGooT9iI8j2hNTIzBB1D0FKYQGBit8EucuHqty1BxyJS3YtZXsWmhuM5+fSTWM9pj7FlEp5B5BqVGoKW0w4rA2xgEYUgaAqCliVIDTIr065KraJ/s7yi0pnyZCCFRmaaoKyvI0Exp7CBRBSlVrUsKnXfo9umcBVrFRw/vfJa5TkjqMwMEqwCAstAkDKqWozLJiGaoSAlCjRpYLHKGR/6zQrL1e2aGRSlWcISBa7emGowLDvkKmAgSCEwboz0ZoYKr1UeTx9CgAQrSw1STqvGgwbjsolWksEwJQg1RlmnJVIs+YBvSaTo1jbKEoSawbCnhVrJBVrlvo/Ha5XHswipEFIgoggRxxAEiCR26XqlJnVbDWY5pK59VzcdZql1IDhjuxQulaZMAiSOEVEIgcKGbttTGOtazHdSKArXzjDLXF2zelt4+T0rj2cBC7UqChG15OhtUYu+doBLPdAr13FdnQpDRFzpYalVfa0GbbsDWe61qo/jPbd67rnnGB4e7l5fmHY17zML1uHW2iOuzZcav/D6Smoebcxdd93FV77yFT7/+c+zdetWvvSlL7Fjxw42btzIm970pmW/n+c0xrr0TlEUkOWoRkYy49KGi1pA1hogK/fXa5OSaAaSaUM4lyNbOSKt9Ko65Nz3l0qUtUWBSN34MJAk0wodK1Sq6OQDpIFF5oJkVpJMWuIZjWpkkOVujlV111ml+HWgx8NirWplxDMhRil0EpA3FIWyiFyQHBLEhy3JYY1qZYh25taD1fO65Z4FarduFO0MFSqSwyE6UchC0ikSirDUwjlBcqhXn7zwWoXXqhOJN16dCZQiRqGRnYxwLsYqKBKF6khnjDIQHbau9dasRjWdgJHlTmiqNoN9ky0rcUkzuRNH0c5QUhLNBphQIDOBLKQbV0DYcOIVzebIToYt9KoXL6o4w+NVy+M5nam0KsuRrYxoJsZKgY4lqu3SX4SGeNoSz1mimQLZzhFphi2K0ii6jJ7YcsFYFIg0Q7YDwllNEklEAUL36jutMq5+y03kVr1WwfHTK69VnjOBMpXKKIEJLTLSrI0abA6m2KQy5myH9fEsQ0nKTGwxoXCG9EAilURI2WsbUVG277JKYgLpxodgYstIzdU7OzzMkLCEwt1PxhoTWowqzQzeeOW1yuOhrx0ggJQYBSa0qFizLprjJWqGCZWTiIKJuEktzpgrE69MN/FqQSpfP33vV58xEQzEGeviBluC6W79ddEcqqtV9NK0pDND2NX6jNBrlcfTQypEGCCiCDk4gB0dwgwmpGMxRd0d5sNC0DIEbU0wk6Jmmm4d2Olg2x1EX5vALn3tCkUtQSQJxBF6ZIBiJKaoKYq6BOEOIwYtTTyVIhsd5OE5TKMJWYbNWb2GBr9n5fH0kKpsxxwih4ewo0PooZh0TUxRl25PyVjChiFoFgSzHeThhjN0ttrQSUvz1YKkKiFKvVKIJEbUa4gkxowOko8mFLWAfFBipUBoS9AyxNMpai51WjU757UKjvvcanh4eJ7xaikmJiZQSi1Ktzpw4MCiNKqKDRs2LDk+CALGx8ePOKaquZL7tttt3v/+9/PQQw/xlre8BYALL7yQr3/969xxxx3eeHWmUrYstVkONFGTirqBeDoiORyR1wRWSoSxRI2CsKEJZ1LUVAPaHWwndYbOfmN7t3bV9cbpjDQG2YoYzDTxdEw+qMgGZbd+2NYkhzLUbIaamsU2m66+1qs7UcavAz2enlZ1UgDUpGKgMMSHYmpTEUXifAVSW8K5grBVEBzuIKfmnI50Oti8z9S+sHx1vdNBHAaV5dQLQzSbkNcD8iGFUe7wTdDRxIcygrnUzdu8Vjm8Vp0wvPHqTEFrZzjoZATNHKsESSKROT3j1ZwlbBrChnOtiyzH5rkTmMrh3r+JZaSbgAHkbjyBImwUmFAitESY0qClIWpawjmNarnvYYuiO1HzeDweoKdVad7VKh2HqKzUKg3xrCFoGlS7gLQ0iFbm0CNgrXVJfoWGNCNo5YRzEqxEWNmtH7Ys0WxB0Oyd9PFa5fF4YIGZoUy8MgGowDAWNFmrMiZUjcSkrAmbDEYpNqwSr8oUmeVSr/qvy6rVoMCGlnqYMRE2WCsFgzIhp81Y0EQFxrUalMwzWaxqM4PH4+kh56fzBYFmRLWZUDlrVQykjAYtalHObJXOV35GHC31qltbYMp0vlqUMxq2uvUNKSOqjVLz0/lWnKjl8XjOfEq9EUGAiELsQI1iTZ1sJKK1PiAbEq5VqoVoVhI2FUkkia1FNKU7DKg1Ni8QMG/+I5R0SVelqcvWE+xAQra2RmdNQD4gyIaFM14VEM05Y0MUSoK8QGRZN/3YtblYxRvvHs9qp5obKYWII+xAjXxNjWw0orlBkQ+KvoPNkqghqQWCqDDusE1RQJ6XBw6XKC8FQklElaA1UCMfq9GeCMkGJdmo6O6vh43/P3t3Hx5VfeeN//0958xDgiQ8RAhsAwJbFaQtNuxSUEDbCkLXUjQlbrtxXYFtrlxdHlLtNiq33Nhdl5a6qQ9AvQWpd13g3oubuq5pIbQFoeT2Vx50rYJaFwhiYgwCeZyZ8/D9/XHmnMwkk8mDM05O8n5d17mEyXe+Z2au8u6Zbz7n87WLvPyaAp9uQITDzKoM8fv9KCwsRHV1NZYuXeo+Xl1djSVLliR8zuzZs/HSSy/FPbZ//37MnDkTPp/PHVNdXY21a9fGjZkzZ06vz6vrOnRdh9LpRgpVVWF13tWEBhdp2Z3wTBMK7IID9ZIfvsYsSJ9qf9ezLIiQbnfoaw9BtrfbRQzRNfBEnUSliY4uMqYJEYlA+DSo7SGoHwcR8GmQQZ9deCUlhG5CtLYD4Qhkezus9lDHDjhERNKyO+y1SyiWhAiF4f/YD99HwY6uxFIC4QhEtDOx1dbufveThh6dp9N1T3SLeWlYQAh27oTD9vyXA/D5NCDgt9emYHdVFm0hOzfbQ7DCYWYVpRULr7xOSkhLQgAdVemGBWFKKIaEqgtYlt3uTTEkhBntamX2YwtAS7qHMCUUU0IxBKQAFDNmfiP6OqIdaGR0C7Ahydk7NlVzEQ0GTncqqyOrFENAWvYiljDtandhWPaWEDHd+GQ3uSUtCaEimlH284RhRXMKUAy483dkodW1i9ZQzSogdXk1hD9CGmSkdNvuWlJAlypMCejShAkJSyode8VHx/dnfsTODwldmtAloEsVlhRQnda/MfN3l4VDArOKqAuntbdlCZgQ0QwxYQEwEZ9V/WkD7s4fzSoL0SyUgAlhx5N0WpXzHxcAZhVRIsIuapA+BVZAwMgCjGy4Ha8U3e5QbPoVSJ8KoamAqnZ06DPNroWdToc+VY1u16XC9CswggJGln0Op+OVYgBWQED6ouPZSZRrVkSdOZmiqbD8KsyggBm0s0Rq0SwJC6i6gBlQITWn27Ha8VwkrLyyfx4dJzUFZkCFGejIKqnaRaKKIWAGBCy/nWtJu5QOJRm6tiovL0dJSQlmzpyJ2bNn45lnnkFtbS1KS0sBABUVFbhw4QKef/55AEBpaSmeeuoplJeXY+XKlaipqcG2bduwc+dOd87Vq1dj3rx52LhxI5YsWYIXX3wRBw4cwJEjR3p93pycHMyfPx8PPPAAsrKyMHHiRBw6dAjPP/88Hn/88U/4IdFAJy0JIaS7C45QTXvHGitaDOpsi6obkIazXZe9vh5XdNW5O5+0IC0FQsSMN0y7cAHo6OwupX3js2F27HrjzD3U8Xsgkasjq8xowwTDbvBiWfFbOEe3KoVlRTtRJciouIllR2aZpl1AbxhARLFv1hEdWSUM+7xOUSmzKopZlTYsvBok7PagKoRuQAnr0FoV+IIqhNnR8UprNaG1mVDbo9XuRvSQ0u4kI624wBGKBSmFvXgeHSsiOtR2e39nYalxHa+0dgtaqw4lbG9fKE2rxw41g12q9kl15iLyrGiRKGKzql2HqirwtUSzSrGzytdsQGs3IUL2RZe997zZc7GoZV/EwflCGDKgtRrR52nu/Fq7BbVNh9Iek1Wd2ysPQdzXmSj6hdBy2qtLKLqEGlIQadPw3+15eCM4Bh9pV9BmDce50GhcbBsGJaRAidhFnsK0IEynAD3BHTlSumMUA1B0CSWk4OP2bJwLjcYfI8ORrYRRb4zBf7fnwWzT4G8XUHQLMJ2Fr6F9Rw6ziigmq0wLwjTtrGpXEGrz409tY/GGvwFj1GZctEbgfNtINLUFoYYFFN0pbLfcYvWEoj8XlgVFt6JZKNDUFsT5tpF4Y3geRiutaDBH4U9tY6G3+REMRbMq+rrcG3CGKGYVUQxVhfD7IYJBmDlZaL/aj7Y8Bc0TAWOUDhEwASkQbvTBf1mB5VOhGEH4VQHVtOxFdEVAAvaCfdy8PgifDzI7CDM3C5ERAbTmq2jLF4iMsGDl6YCQkGEV4Y81QKqwNAG1LQtqaztgWkO6AzLXrIhiqKrdnS8YgJETRPvVPrRfraD5GgvmSAOK34RlKIg0+BG5bHfQU0NZ8AFQIjoQ7UwlTaVTez57W1Rnbmu43U2rbYyGlj8TiIyQMMZEoGgWrIiK8CUNgAqpCmhtQWjNAcAwIFV1yGYVkLlrq+LiYly8eBEbNmxAXV0dpk+fjqqqKkycOBEAUFdXh9raWnf8pEmTUFVVhbVr1+Lpp5/G+PHj8cQTT+Cuu+5yx8yZMwe7du3Cww8/jHXr1mHKlCnYvXs3Zs2a1evzAsCuXbtQUVGBb3/72/j4448xceJE/NM//ZNbnEVDgGkClgmp6xCaav8uzimMcna5kQl+RyeU6B3KnTu1xxd5SikhnBuoTRPQRUexhGGfF0P4OioRfg8k6sTdxtSCVO31KGHa3dWF0+wlVXUE0mkcY8XMb0E661ROwxhn7BDGrEofFl4NBtLqaAMaDkO0aVCkhF8AWkCz96CXEkq7ASVsQLSG7Bajut6xT2qCKk+3GhXRiyo1AgG7nbsmJZSwBi2k2dWjpoQSNqA0tUNE94qGUyjBln1EBCTMKlVK+GFnFRQAFuzi0JABpbUdMhzp+AInrY4Ltbh5pf1EKaJfAiOQABRNBQAoYQ1q2HLnV8IG1OYQRDuziogSiC5QCdOEGpbQ2gClWcM7V8bgav8U5PmaEbZ8eLfpalxuyobWJqCGATViQRgxC1KWjFvcElbHwpcwLKgRC2pYgdYmcLkpG+8Gr8arwSkIKDoaIjl458oYKM0atHZADUfvABrq+88TUQcnq3QTWsjOKtGs4e2mMRjhm4JRWiuumFk40zQKbU1BZLUJO3d0+65oWD0sjlt2MbtiSKgRCbVNQVtTEOeGjcT/d9UU5KrtaNSvwttNYyCaNWitgBayt5xgVhERgOgWy4p9t7HfB5kVQHhUAK1jVbT+mUTW9Zfx+TF1yAu0wLBU/H8NE9D4UQ6kFoAatm+cCeom1Ihuz2HJuBtq7e0L/UDAD2t4EOFRAbSP1tD6GYHwpBDy8prxl2NqoSkmGsNX4b8axqHFGgGpqvA1B5B1OQDoOkS7gBTRL4vMLqKhx8kqZ5vBrADCIwNozVfQNl5i5PUf4/N5H2CErw3tlh+/vzAJTQ1XAfDB1+qDMCV87RGg3d4eRyhG3PKSs4UhfBpkll3UFRrtQ8ufCbRN0jFibDNmjz+LLCWCy3o2/qtxPC6boyEVBb7mANSPAxC6DhEOM6sypKysDGVlZQl/tmPHji6PzZ8/HydOnEg6Z1FREYqKivp9XgDIz8/Hc889l3QOGoScbbZM2J1AI7q93iTsrZ3dYiorWlzu3MAXvelGKCLpDTLulvSWZWeXlJCG3fFKOM9zGjXE3DDtdqlhPhER0PE7O6gda+WGAIzoNoOWcPNJxux4E8cpJE30eGfRdXhnq3p3/piOV+7Nh/w9IKURC68Gi2hLPWEY9p6oQkBVFLvrgrOXacjuWCXCescdfU6gyQSB41S+W4q7sC91HSKsAYpibwUWc7GlhAyIcMRtCxjXEnCoYtt2onjdZZVuAap9MaS063aOuFliX3z11DXB3dbUtCCE/eVPqEpH9xoh7A42EQMiFAGiRV3Mqii2FyXqEM0SxZBQIvZ2Elfag7gQGoF20wddqrgSCsIIqwhGBBTDgjDR0ZWqx7lldMsbCSWiIBzWcCUUxIXwCPiEiY/1YbjSHu1QE7HH2Z0DmVXMKqIYznVPNKvUkMDHbVm4MGwEmrQg2k0/WkIBIKxC1e1ttuJyKlnb9uh/7a2bAVUHEFbR1B7EB6ERuKJl4eNINj5uy4IaElAjgDBkx12EQx2ziqiDYm/FJX0azKACfTigjzAxI68Bt448jT/zXUJEqmg3fXjNErh82Qd9mICvTYEV0KD4NHuLCFWBkDGdGFQlunWhBiugwchSoA8DIiMsjB7dgi/kfYAFI96AX5i4oI9ExFLxhxHDoTfZrwM+zX5dQ3kLL65ZEXUQHQVSZpYC/SrAGGlg6uh6fHnkKeRrl9Fs2dc/b5gK9MYcGFkCZpYKn0/r2G4wEWebQZ8GM0uFnq1Az5HIHt2G6/IasGDEHzFcaUe9MQK6VHB4RC4iTT6YWXZWcXtU8NqKKBHnBj8h3OIoCNGxRbPTTabf81sdczhdraLr7O7vF3uzS8VQwqwiiuP+zk7KjpuShYgrEoXVwxpVjyeJPs/p7G4pAJzfFXbcHN2b3zEOGcyqtGHh1WBj2b+UE9EqdmHEFF657UWdrWqSbC/RZV6ro+VftArV3pM1+oXSqZx3finI8CKiZKyOLHHzRDpFntGtuqLtkNGXTHFyTTrzWpBmTBY6d/g4WcisIqLO3Dtt7OxQdAk1ArSF/PgodBV0S4UhFbSG/EBYtQujTMRt3+Vs4Rx3nRVt7y6i23cJS0a3GwRkSEVryI+G8HBowsLlSBbaQn577ujWYO5cLL4iIqAjq6SEYkooup0nbaEAPgpdhXafDyHDh3DIBxFW7J8b0YWu3lwDWR0LY4puzy8iAuGQDx+FrkKzFkBTJIi2UABKBBAGoESLupwMJSJyOcUIwm5UDAXwKyaGKWFkK2EEpYIsVYdfMyEVaRdDCXQsyEc70sQRSseivRD210lFQCoWNNVEQDGQo4SgCAtBRYdfMQElen7R6XUREQF2lgjRkROKRCCaVUGhQxca/IoBVbUQcTJHwN4NQumhMEqJn1sKQFUt+BUDQaG7RyCaVc4YKQSGeMkVEcWK7dIXDEAEg3a3vuwgLL/PvrEZsDsR69Gbj0NatENVxC7QEhKQ8Z2vhBK91lJER1dRTYPIDkL6fZA+DdJn7y4BU9oNHlrb7RunQyEgFI7ussobcYgIdhc+VQVUFUogAJGdBQT8kMOyIP32Tl0AoIQMO6vaw3b+6AZkJBIt2EqyriSUjqzyaRDZ2ZBZAfumnGC0q5YpISIGRGs7RDgCKQQswG4yw07tlCYsvBoMolWaAqZ94RTRIRFdR9I72osK3QAM0966SzfsNqDRXwwmDDFpQVoKhGJBSgFEq+alYm85aLfoM93XIHQDMhR2W4zCNDuqWYeqFO2T6sxF5HWxWYVwxM4OwL6Dz9kjXo+2Ko5EIPVO2wwmn9zdblACHdujOq1MY+ZnViWQqrwa4h8jeZjTrl1KCMOA0A1obQYC0TuNmz/MxtvGWPgDOixLQeijLPgvqfBfAXwtFrR2EyJixLQv7pQrzl09hgERMaC2GfD5FfgvKzCGqWizhuF168+gKBYiYR/MiwEM/1gg0GRBa7NfT+y125DNLGYVDXWdsyqiQ2s1ELhid3Bpqc/GaX0sfD4TpqHA/DALgY8V+K9IaG0mlPZonkRvykm43bzTml03oLQb0No0+K+oCDSqiFhZeAv5UDULuq7CcrLqigWtNfpdlFnFrCKKFV2TkooCSxWQGgCfhVH+VuRrV/BnagtMCOQHriDHfzXq/RKWD7A0AalFuzYowj5ii6/cx+xxliZg+QDpl8gNhJAfuILxWjNUSFhSwSh/K+CzIDXAUmPush7KXWS4ZkXUlRK9L1ADhM/CCF8brlabkK+2YbgSwSh/G7L9Olr90s4pVXQUOghn69IY0S1XhbDHSlXA0gDLL5Ht13G1vwXjtSsYLgwAwAhfG0Q0q6SCaBHWEM4pB6+tiGxCgeL32UVXuTkwR+XAyA2g/WofIsMVWBoAAfhaJbR2icBlA/6L7RBtYSit7ZBt7fHdqpxpowUSQtMgsrPs4ojsAMKjsxAeocHIEtCHCUDanZT9zRayPtKhXQlD/bgJ8koTZCgMK6IjWoE1NDGriNyiK+H3QwQCECNyYOblIJLrR/sYHyJX2d/dhJTwN0v42iQCH+vwN7RAtIWA5hYoaLN3wjH0+HUlISA0n73TzbBsiOFXQWYHER5zFcKjfNCzBSLD7WJ3xZDwt0hkNejwX4lAbWyCcrkJMhy2C1GHcvEVsyptWHg1WESLpGCaQCQCES2mEqrSschlmIBldhRdRS+u4oquOgWYW3wF0/33IwBIywQUFUJT3edJ0wJ0u1BCdp53qGLbdqIOzi8Kk2WVkyWG0VEUZcb8UjDZljgieqeOadk5FdHtQgfD7Do/s6orthclslkS0O3iULU1gsBlPyxNwMhSEWnPQsgfBCQQvKTA3wQEL1vwtRhQ2pztnM2ObUxjOr7Y26zaC/EirENt1eHTFAQvK7D8CpSwhkh4GCAAJSKQdVkg+LFE4LIJtTW6PapusFMfs4rI5hRzRnSorREEL/sgVQEzqCLSloWIT0JYQPCiAv8VRAujdCghe2t4aZp2cVQCMtqOXUTs8VqrisAVDUZQhaIrCBtZMBVA0QWyrggEL0oEnayK6MwqgFlF1JkQbjGDFS1mGOlrw3itGZ/RAjClxBhfE0YG24CACcun2YUJqmJvKajYhQsypqOMcLbSURVYquIWXiFgYkSgHeN8l/EZ1QdVCERkC0ZGixmsaDGDVO1CiCGNa1ZE8dwOegKWJqH4LIzU2pCvtmGc6keb1DHG14zhgTAafDGFV05hVS/mdwqvpF9ieCCM0b5WjFdNZAs/LLRhpNYGxWfB0qSdebHb8QxlvLYiii9mCAZhjRyO0PhstOVpaJ4oEBllwQpYduHVZRW+KwqyGhRc5Vfgv+KDpir2DdBh+4bk2GwRqgr4fRCBAGTOMBgjsxHJ9aNlvIb2MQJ6roQ+wrQLr8IK/B+rGJ6tILtRRZZlQQlHAEvau08M8RtwmFVEsAvP/T6I7CyYo4ej9TPZaM9T0DwRiIwyAZ8EJOC7qMF/WcGwOgXDAfgua1BMy15XikQgTSW+mFModtGV3w+RnQ1rxFXQRwbRXBBA6ziByAgJfbRhFzLows6qYX5kNWoYJiXUiG7XPegGgKFdJMqsSg8WXg020e4K0rQghAEplY47Ai3TbaEnY/deTlR05fw9WnwFqPbWObC7xjjtk6WBjjmiW3px+y4i6lF3WRXNEueuG7dbQl9Iu0ufcLpcAV3mZ1YRUTLO9l3CsKBELKhhCTUkoLYLCMO+I0QLAWpIQo1IKLoVs6WzFdftSkpp/1LPyRxnK9ToVoZqREINS2ghAbM92mZZF1BDgBqWUCL2OGcveiIiV3SbebjbotpZpfkFLB0QVjSrwvbPhBG9DnK3Lu0mU6KPS8se3yWr2uwtvRQjJqt0CRgxcxMRJSIEICSEIhEQBoJCIiB8MGEhKCLwKwaEKu0tthQRv91g0jkR3RYMEKq0t+5SdASEBlUoGKaEERAGhBK9tZdFDESUTDRTBBDNEiAgNFiwty5VhdWxHaACyN4URznbGEaLUCEANboValCoCAgNPhFBUNHtbcBit0UlIoqlqoBmb/1nZCnQhwnowyXkCB2+gL1opVtBQKrwtQqYQQVWuwrpUyEUxX6+2qk4KtrxCooC6VNhBVSYQQXGMAE9R0LPNeEbEQKkgBHWoOt+6MMEjFYF0q8BmmY/n4gIsDsTRzPF8qswgnbXPD3HhDYi4u4oEdazIQwFejZgBlVoPhXQOvJIKCLu14NCcW6+scdZfhVmQIWeDehXSRg5FoIjQ1AUC+GwD7oRgD5Mha9FwPKrUJ3n9rRFNFE/sfBqMHG22XIWu50vfEr0AiraOca9oJJdt5bofmoJoUQLsJxiidgBzh3Xsb90ZAcZ3j1IlEiyrIpmiZTS/nlsgWhPBQfRjlpOoShEdBsep21yzPzMqgRY5U5kixZGwbS7hKphC1rIgq/VuTvZziytBfC12cVXSsS0CxoM0y5qiCm6cv4rnP+a9jihm1DDJtSQhNYWjUVnf3sj2hY+ZEENR+/yic2toYxZRWSTlt1JL7oloBo2obUrdlYp9rZbwgK0Vrttuxq2ICIGhNFpi+UE28073/lgSQg3ryz42hVIFbB89i8NRWxWtduvw7nRh1kFZhVRLCkhTAnFkFDCCqx2De+HR+JdPRch2QQAqI3koaF9OGRIhaIDimE/x77+ifnHYMmOhfLo90Z3bl1AhlQ0hq7CuXAe3gvWAgDO6iPxfngkrHYNSlhAMeznDNluDA6uWRHFkxKIyapISMPZ0Gi8nZWLZqsZbVJDbXgULoeyIMKiI6s651Q3cwvLimYVIMICl0NZqA2Pwtu6gmwRwgdmLs6GRsMIaQhGswrMKhuvrYhszlbLqmIXG2QpMK4CzBEGRo5qQU4wDFWxcF6OhI4A9GZ7m0A1pELza4CmQlia/V1SKh3XVaoCodk/l36727GeLaBfBegjTPhGhlCQdxmmpaApFMAlPQfGVT7ozfbrUNWYraGHMmYVkbvNMoRwi6Ps7UoBjNAxZlQThvvDMKWCM7oK3QjCuKzADAqYARWKT3O3lE88v5010qdF544WieaaUEaG8ZlRl6EKC82RAOqMETCy7fNb/mhRl9OpVHTqpjWUMKvShoVXg0WnbbbcL2SmaVd/On+2LHfriG63GEwwb+ctB4Vl2S3+VOduaStakGVG77zuYVuwIULIFO2TitTNQ5RRybIqdoxld6WSZt8vfJxCUWkCAjqkonSZn1nVVaryillFnibtXBDR7btEexhaU8h+XAnA1xotvJKAr82Cr82C/7IOpTUM0RaC1PWYbVLNuG4yEqZdfAUAug7RFoICIHBJhZA+6G0KfK2KvdWgIeFrlQhcjEBrDkO0h+3tU81OBRNDELOKCF2zqi0E7bIPsOwOMb6W6LY3EvC3WNDaTPguhyHawtFtSyPJi6Ocoi49AoR9EIqA77IGKQCtXYXWbmeVMO2iLjer2kLMqihmFVGM6BoUdANquwVfi4rIZQ2vXxyP4drn8Bn/JQDAicsFeP/yCKhNKrR2Ge38aXYUtptWTPdQxb4h0LQ78ykR0+7K1yahNqmovTQSx9QJGK6GAADvR0bi9YvjoV7W4GsB1PaYwnZmVcrmIvI0KQHDgNANaG0W/M0q9EsaXrv4GWSpOsb6mhCyfHj94z9D46Xh8DUr0EIWlLAFods3Oyfs2i6dtXh7nBK24GuX8DUraLw0HK/7/gxjfJ9DUNFRF8nFaxc/A/WSBn8zoLVZdmG7YQzprAJ4bUVkd/iMFjNoGqTfB+MqH8IjBUJ5EuMLLuLW/HfxGf/H8AkTv8u+HqeuGoNLxkj4m1QIE/C1+aC0+iGiNypLKYFokyqhaYBPg8wKwBzmQyRXRXikgvZ8E6M+cxlTRzfg1pGnoUsVteHROOT/czRcGgs1JGB85IPP7wM0raOYAUNzu0FmFQ15bpMFu5hT+n0whqkIjxQIX23hs3/WgC+PeRvjfJegSw0v+z6H0/6xCLUPR6hRhRL2QWvyQWgahGpE8yR2fsXectXngxX0QR/uQzhHQehqiaw/a8HUMR9iUd4f4RMG3o+MxiHfZ/Gnjz8DNazAGKbC77fnlk7dhLNLxRDDrEofFl4NJtFuL9IEhIwWNsRWmMd0julV0VXsvJ2Lr4TSsR1Y7Pyxcw/BsCKiXuhNVvU1pxLMDRF9vlCSz8+sIqJYMvqLPcMAQmGIVh80KREUAlqbahczANDaTShhE2qLXWyAcARwCg6coqvYRXdLcYuvENHtL6AAVE2BX0pobSp8WfaKlzAltDYTWlMIoi0MGQpDGka0c+kQ7yJDRC43qyIRiNaQnVUAfFkqLFXY26K2GlDCBtTmkF3EGQ5D6kZ8AXrneS0JIaQ9Lhy2s6pZgx+AFtKgtdtFWIopobZ3k1VERFLa22RFb6oRhgktZMLXpsHXIvDRpeF4IzAedcEcAMDZy6PQeiWIQKtib+cctrdIFaYV363YkoDi/NmeVxjO1tCA1qqgrSmIc76R+INvIgCgMXQVPro0HL5mAV+bhBYy7Q6AztzO6yWioSuaVTDtTp9aq10cVR8tjhoRGAXDUlB/OQdmkw/Btuh2zroVvbEwJk8SzA1pj1N1K1ooCoSbfKj35+BEsACaYuFSKBv1TlFXa7RjqW7EZxURDW1OMYNPg5GlIDIcMEYaKMw7j6/nnsBkLYKgUOETBnzKVBxuGobI8CxobQJGlmZ3vTLs6yCnyzGUaDGXz9m+UENkmEAkB1BGRzDj6g8wf8Rp3HnV+whJE38KBtFiBvDSyNGIXPHByFIAnxZfzEBEQ5voyBU9W4E+HJAjI/iL0efwV8P/CxM1AV1aaLaCiFga3mzMhj5Mg5llb1+qaJq99Xwi0W0Mpd8er18loI8wcH3eRdw86k+486r/hk8oOGecR5vlx7sjx0C/HISerUBGs4pbz1O6sPBqkJKWhFAR34Ld/kGvtxdMOrcSLWZwROf8pHMT0dASl1Xp1Gl+ZhUR9Yq0f5kHw4IwLCi6Amna+SF0C4puPw7Tguy8DWD0z/Z1k+jYviv6M2nZv0i057UgFQElWtQlLNi/aDTs80sWWxFRZ7GZYprRbUydTBEQpt3xSpgWhPMLQWcbHJmkuN0plIj9uWVFuzRYEJoFRbXsjleW7Mgq04rPKuYWEcVybniRgDABRQfCuoqWSAB+xYQiLEQMDdAV++emtDOm8/c25++dHnfGCsueX+oKwroPLXoAllTQEgnA0FX4DPvnwuqchcwsoiHLufaJEqZl54lpb6tsRrNKERKmpUDXVQhdQDHs723uVoC9ubE5upWhk1VCFzB0Fc2RIFTFQqvuh6mr0PRussqZh4iGLqdYQAg7uxQAqkRAMTBMGBiu+BEQPgxTIshSdSiKBanAPoTzvJjQi/3dYfRn9jj7OYpiIaAaGKZEcJUShE/qGK5EEFAMQJX2+UWn10VE5FBg54oiIVSJoKIjW5jIEtnwCRPZSgRBVQcUO09kbJ4AXbcvVURHbYIQbr5BlfArBrKVCLIVHzSoyBZtCCo6hCI75mVtKKUZC68GI6fDi/OlLHaHrZiuV/Z/+9BFJtr1CkLpKL5KtAsYF6yIqDc6Z1Xcj2Kyqa+LSk5eIaZQtLvzExEl4myzZRiAbkCEIlB9ql1YoNrf0JSIARE2IUIRQNeBaJeX2C0GZcx/hSLsDjMwAVO15xYCIhSBUBSolgXhFHWZFpSwEZ3biM6dZFswIhqaYrMqokMIAdWnQjE0tzuf0q5DRAyIiA6p63amWD0UGjhFXdGtwaSiQkR0KKoCYVluIYQwpT13KNrxj1lFRJ1Ft9gSpr21n9qmw9/ih9EkEGr044IyAh8FroIQEu0Xs6Bd0uBvgt2Vqt2EiNjXYvZWztHtuqKEaUEaBoSiQEQMqKHoNtBNKoyPNbRa2ThtjYWUApGwBtHoh78J8LdIKO1GdKvB+DmJaIhyssowAMOE2m7YWXVFIPxRAB/IEWjwG4AUsBoD8F9S4Wu2uxSrYTPalcp0t4OOn1pCRLdcFboBNWxCazPhb1KgX1IRQQBnxGhASBiR+KxS242O7VYTbWNIREOPc2OMjBadGwB0gct6Nj4yh2G40oRsEcFlMx8thh+mqcBnRW/wkzFzOGIbN0QfFxJusbxpKmgx/LhsZqPRrEOblKg3c3FZzwYiCoQRUyTq3OhDRATYOWXah6IrsMIqGvWr8KGZBZ9ogwWgUR+OFj0AmAJwcqpzRsXqtEuOU8wOQ6BFD+CSMQwfmmEoAD4ws9GoXwUrotoF89HXwpyidGLh1WATuy2gifiuVEDfC646zw0AcDo4dDN3f+cfjKIXqSmbi2iwSJZVqciS6JaDANIz/2CUqrziR0peF10sFzAhIzog2gHDgGJZED4NiLZNF7phFyWEI5DhiP0LQV13t2GO2y4V9nWTUCzAUgBdt/+pWNK+QdE0gTYVii96aW5Ft5RoDwER3X4dphmdc4j/I2NWEdmSZJX0dbRNF3q0aCG6HaqzFWBP3T+lJe0uWYZhN8AC7O28fBpEu+a+BmZVN5hVRB1M075OCkegtoQR+NgPKXww/QrCrUEYfgACyLoi4GsBshot+C8b0Fp0iPaYAnfDcK+zgGguKXZnBtEega/ZBwAwgnaLBr3JB/2KBliApgOBSwLZDRaCF3WoLeGO6zcz0R2FQwTXrIg6WNLOhEgEanMYwYs+AD5YPgWR5iAsv921b9hlAV+TRNZFC74mHUpr2L4Ocm7CSUCa0ZtvIvZ4n6Yg66IKqSjwtaoIt2QDAvBHBPxX0JFVzWHISDSrhnrndl5bEXWQ9nc1RZdQdECEFXwUugpn9Tz4hIGgMFCnj8DlSDYsXYFiRjv09aE7n/McS1dwOZKNOn0Ezhk+hKSG8/pofBS6CiIioOiAoke/Ow7174AAs4rI4RRjWhbUiIQSAURIxQftuXhn2FhE0AhLKqiP5OBKOAgRUaAYMYVRPW2x7BSgmtJ+XkTBlXAQF8Ij8N96DhRh4WwkDx+050KEVCgRQI10vKYhn1fMqrRh4dVg5ASG06Gqu59/kvnTNfcgI2TMnQQpmItoUPm0sgroOj+zqotU5RWzigYFadkF5qZpFx1Iy/7lnh6zB7xp2tsLRnTISMT+e2wxQ5fcic4ZbRcqoNvPB+wviooCEVHdv9u/oAxDRu+e7lzINVQxq4hixGZVJNI1q6LdFaRhuEULbkcqmWShySlgl8L9BaJQBKS0IAzNzqro/MyqxJhVRJ0411ShCLRWA36fgmCWvS2qFS280loAX6uEv8WC2m5AtOt2cadTHOUskjuEsDNOCAjdHq9qCvwtKixNQNEFVN3edlWJAIErEr5mE2qb/TqGfNEVuGZFFEdablYhHJ9ViiFgafb3QH+TtLOq2YTaFokrPkei6yBp2Y+b0WL5iA61XYO/2QfTH92y0Ih2KtUBf7OEv8mE1mq/DjhZNcSvr3htRRRlOR3wJGABigEoukCr4cfHxlX4SM1Btgij2Qyi3fB1dJFJ1EkmESk7Ol5ZAEyBsKGh2QziojkMbTKAj42r0Gr4oUS3XUW0qEv2plhikGNWEcWQ0r7p2JL29Y4u0BQJotHIQVDRoUKi2QgirGvuFs7CgtNPoWdWx3OECYR1Dc1GEBfNq2BCoNHIQVMkGLNFtIxeq/EfGLMqfVh4RUREA0+qLn5ii6+IiPrKii4aCeEultv7wSt20VQqFsCjC/x21wal464b58ug8zqIiLoTmxVOTjnbLpuxmWL/4q+nblcOaUkIEV1xjy5OSdOCEDFbUcRsr8qsIqIu3O58cAs+FcOCottdGtQIIKSAFPYdyKou7e4NhgVhWR3dExItkMc+btrj7bnteawIYIUFhES0I4S0z2tE55RON3cuvhNRDMveHjUuq8KAsKKFnDqg6hLCkIBpj5W9/U4oreg2qRaEYWeVqQuoYQCia1aJXnQpJaIhSkooZkcxQ3M4gEb9KmQrYWQrYXwcGYaWiB9wO15FO8nEdr6K/R4XU8wlTGduAegKWnQ/Po4MQ72RizYrgA/1HDSHA24xg2Ky4IqIunKKRIUJe1tSXaA5YmeVT5hQhIVL4WyEIj4IQ9jjTGl/D4zNqM6imSUsK7p9oF2AGtY1XApno97IhSUVO6siASgRYZ/fBItEKe1YeDWYpXPhiItSvcePiii5dOcJ86r3+FERdZDRbi+GEe1IJSCtaEcqIexfBJqm3eHF2frB3dI5wdbOTnc/ocDdZjX6c2FJQI1uTeE8JzpvXHcasjGriDp0zipEi62UmO58bl71I0ucvHLmV82OLHS6NzCrEmNWEbncbbZCYXubLQEEfQrUiGJ3kRGA1i6hhiz4o1t3ifawvc1gtKMeLMvOsSgRnVcAgK5DtIehAPD7VUACWrsCX1u0UMKQ8LVY8F+JQGkJAaFw0m3BhhRmFZFbJNrRnS8+q7SQ4na88rVa0NpN+JrCECF7m0HEXgslnN/OG2EYQESHUBX4mjRAAGpIhRayt7NXDAmtLZpVrWE7q4zYrqJD/B/sEH/7NMRFuxJLKSEMAyKiQ20z4G/yIXBJ4MP6ETik/DlGZ42HXzHw3sd5uHJpGPwfq/BFO/WpIdPuEqo73URjroNMxX5cVaGGTPjaNBjNEv6PVdRlj0Bb2I9LkSxELA0ftQ3Dh/UjMOySgL9J2t1Eo11KpVPcPpTzagi/dSI3q0wTwjQhIjq0VgOBKxqMbIEP6kbid/KzyA2EoAiJ9xryELkYRPZlAX+LCa3dhIgY9ne1mJtlOuaPPm5aEBEDWrsJf4sC/2UVbQ3DcMpQEbFUWFLgcigLH36Yi+xLAoHLElqrnZ3SNJlVALMqTZRMvwCiQU2m+CAiShdmFVGH6JcuZ/Fd6gZkKAzZHur4bzgMGenYpkZGD/dLW6KuDNEvde5Yp2AhErHni50/ZG/dBWeRPeZ1DWnMKqIOibIqNk+cLIlEum4F2IstJuytDKX9PGfuUMzc4Y65mVWdMKuIOjjbd+k6ZCgM0dQK9VIrgg1tyK4LY1hdBMPqIsj6MITgR+3QLrVBtLYD7SHIcOy1lrNNqhW9nrI6rqXCEaA9BNFqPz/4UTuyPgy5c2fXhRFsaINyuRWiuQ0yFC3qGurbd3HNiqhDsqyqD2PYB/YRbGiHv7ENyhU7q2QoZF8LJekqKqPdjO3vlXZWKVfa4G9sQ7Ch3Z07uz4mq5pamVWxmFVENksCul3EqbVEELxkIusjCf8FHz44m4c/nh2P12oLcOX9XGh1fgQ/Egg0WfA1G1DadIiIDhhmx5bLMWtTMOwiCaVNh6/JQOCKhWCjgPZBAFfez8VrtQX449nxqD83Gv4LPmR9JBG8ZEJrsbddRTQLh7QMZ9XmzZsxadIkBINBFBYW4vDhw0nHHzp0CIWFhQgGg5g8eTK2bt3aZcyePXswbdo0BAIBTJs2DXv37u3XeU+dOoWvf/3ryM3NxfDhw/GlL30JtbW1/XujNPBZ0t2+WXWyqkHC/74f9WdH4+2z43Dq7DiY72cjq05DVqO91bLaqkOE9Y6tlhNxCuXDOtRWHf5mC1mNElkfaDDfz8aps+Pw9tlx+PDcKPjf9yOrQSJ42YTaEunYxplZxeuqNGHhFRERERFRZzFFB84v92TsolRsF5nYL2u9KWZw/ugUS3Q3d8z5WchARAl1k1Xu4W7FFdORr7d5Ijs9z7JbssfNz6wiol6wizij1026/Us/pd1eKNdaItBadKht9mMiZP/yzv2FoBV/t3NHkafVsU2E8wvDiP18pd2eT2ux51dbo3NHdMhoEYPkFl5E1EnCrGqLQG2NQG2zD6VNhwjF5InTOSZR1+PYv7uFXYY7twjZBQ7O3GprBEpbhFlFRN2LXv9Iy4LQTSgRC1pIwtcqoDarQJMPZpMParMCrVVADcnods4WRPS6Ck63dSvmcLeRt8cpRvR57dKep1mB2eQDmnxQm1X4WgW0kIQSsV+HtLrpTkOfmt27d2PNmjV46KGHcPLkScydOxeLFi3qtrjpzJkzWLx4MebOnYuTJ0/iwQcfxKpVq7Bnzx53TE1NDYqLi1FSUoLXX38dJSUlWLZsGV599dU+nfe9997DzTffjOuvvx4HDx7E66+/jnXr1iEYDKbvA6GMs69h7IxQQxZ87XZWaU0qlCYNoskHrUWB1gaoIUCNWBC6ZeeUtP/b+RrILmbv+LnQLahh035+O6C1KBBNPihNGrQmO6t80c7KblaZzClKH241SJRGQtpHquYiIkqXVOUVs4oGI2lJCBV20YFz20Lnxe9+bN8FEXMPRIK5ucDeFbOKqHvSkhCKBVhK5x90FEb1b2JIS0k+N8VhVhEl5mw5AcMuPlCEgFQFIASEHn3ctBfE4RSSOr8YRMe1kZ13ouP6yTQhTBVSjf5SUTcg3G6jEsKMdocwOorciWtWRN3pnFVCCECxr4HcbboM084pGS1MT3atFb2WcjNJSruzjG7EDROWxazqBq+tiGI4xVOGCTVsF15prYAvIGDqCqQKu7ihDdDaES04sCAMy80t56Yah4j+XZj2OCViQg2r0NoBrQ2AEIBQIUxADQtorYAWklDDlptZsFjMkMmsevzxx7F8+XKsWLECAFBZWYl9+/Zhy5YteOyxx7qM37p1KyZMmIDKykoAwNSpU3Hs2DFs2rQJd911lzvHbbfdhoqKCgBARUUFDh06hMrKSuzcubPX533ooYewePFi/OhHP3LPP3ny5L6/SfKOaGEUTPt6JzarLJ+AGQEgAF8roLVJaCHLLeSEYfbckcpyrqWcAlQLvlYFUKLfLyWgRuKzqmObVWvIF4nyuip92PGKKJ1S2a6PAUZE6cSsIurK3e/d6thG0OlM5WwZGNdJpg9dZAC3YKG7uTu20+E/LFeGs2qgtm0XQiQ8fvzjH7tjbrnlli4/v/vuu/v3QdDAEptVlozJjk+QU7FzA13zKuH5mFUuXlcRdYjdajnalUqGQhAtbRAtbVCa26E02Vt2idZ2yLYQEN3K1F4Yl4nzzfm700E0ErGf1xZy51Ka7Pmdc8lQyO2mFbdF9FDFNSuiDp2ySoYj7raAorkNSot9iNZ2oC26xaBh2FsB9rYI3ZL2VobRHERbNKucuZtjti+MbrXKrIpiVhEBTpGnadpdPttC8F0OIXgxgmH1JoZdkLjqPHDVeYHsDySG1VvIbjTgvxKB2hSGaLOzJa6zaOxWgxEdMhyBaAtBbQrDfzmM7EbDnucDiavOC1x1Hhj2vsSwehPBixH4Locg2uzrK7cj/FDOqxRnVVNTU9wRDocTnjYSieD48eNYsGBB3OMLFizA0aNHEz6npqamy/iFCxfi2LFj0HU96Rhnzt6c17IsvPzyy7j22muxcOFCjBkzBrNmzcIvf/nLhK+LBoHOWRUKd82q94Fh7wPZdRLZDRaCFw2ozSEobbHXQImLo6RpuddqSlsIanMIwYsGshssZNdJDHsf9vwXOmVVKMyscvC6Km3Y8YqIiIiIqDtS2nf2SQuyuxuO+/NFzX1OdNucRHMP5S+AA5DTPn3z5s246aab8LOf/QyLFi3CW2+9hQkTJnQZ77RtX7lyJX7xi1/g97//PcrKynD11Ve7dw86bdsfffRRLF26FHv37sWyZctw5MgRzJo1q9fnraurizv3r371Kyxfvtw9j2PlypXYsGGD+/esrKyUfkaUQTGZktKscp4XzUEgQV4xq4ioN6JF5m5BlWkCkUi0g4ICWHaRlfOLQGcb5titBTvPJy0FQExRgpSAaQGGASgCUNSOn5kmpG7EFboTEXWRKKtU1f6ZEHbGOFsuG4adWz0VR0mJuGs0GbG7LeiGPbeqdDzXNO3CLGYVESUS3V4ehgGEwlCa2qBZFrIB+Fo1WD6724sasuwOM6061Cvt9lbOoTCgRzq2VI3pqidg//5cSAsIKVCEgLAsBACoIR/MgAIzqECYEoou4Ws1oF1qh9ISggyFO4okmFkpVVBQEPf3Rx55BOvXr+8yrrGxEaZpYuzYsXGPjx07FvX19Qnnrq+vTzjeMAw0NjZi3Lhx3Y5x5uzNeRsaGtDS0oJ/+Zd/wQ9/+ENs3LgRv/71r3HnnXfid7/7HebPn9/zB0HeE5tVbSEoqgrNsJBtAf5mDZYmAAGo7dHOfc1hKM3tMTkVc9Nfp3khhd2dVI8A7SoUKeFXFCh6AP4sFWZAASSgGBKak1VtIci2ELOK0o6FV0RpxLbtROQVbC9KlIRTdNDdz9I1N3XBtu2Jz5ufnx937hdffBG33nprl9bt2dnZXcbSEMGs+lTxuoqok5gMsbexMSEVBQKIbr0cXfy2pF2MYFnxHWSSbN/lbt1sSUBY0cIIE5CiYw5n4T+6dWFHMdfQ/kfGNSuiTqJZJS0JIexMkaaFuCsgZ3suZxvU/mw5H9120MnD2Dmk2ZGBzKoOvLYiiuFs4WWZ0W28TIiIBVWzICwFUrG31XK37Yrmirt9s3OtFcuKXkMJYWeTZcVs46W6w4QFKLoF4c5tRovnWcgApD6rzp8/j5ycHPfxQCCQ/HmdvrNLKbs81tP4zo/3Zs5kY6zo/9aWLFmCtWvXAgBmzJiBo0ePYuvWrSy8Gsw6Z5VpQtFNqGEBYQhAEVB1C4puAkY0pzp/D0zGkpCWFc2r6DxKx88UU0LRo9tHM6vi8LoqfbjVIBERERFRTxItdqdqATydc1NSg6Fte2cffvghXn75ZSxfvrzLz1544QXk5eXhhhtuwP3334/m5uaEc5CHdc4O5xeDqZo7dq5Uzk1EQ4K0ZEfRgmm620S4f3a6XJmdthN0J5AJsqhjXGwHB/fPzl3N0aKrXi/kE9HQJq2OrNKNaEbF5pQZn1M9XRM5Wxm6eWXG5ZU0Lbcrn5SSvxQkoqSklHbXvIgOEYpAbYtAa9WhtejwNRtQ2wyobREo7TpERLe313K2L429Joq9NpPRDn7RbQdFRIfSrkNt16G2GfA1G9BadLuLVlvE7qIV0QHdcAt2KLVycnLiju4Kr/Ly8qCqapfuVg0NDV26UTny8/MTjtc0DaNHj046xpmzN+fNy8uDpmmYNm1a3JipU6eitrY22dunQcC5lnKySmmLQG3VobXZeaK26lDaIhDRbVDdnIotQO88p5NbsXkVjpm7xZ7fndvJKif7iNKIhVdE6ZTKfVL78f8HmzdvxqRJkxAMBlFYWIjDhw8nHX/o0CEUFhYiGAxi8uTJ2Lp1a5cxe/bswbRp0xAIBDBt2jTs3bs37uevvPIK7rjjDowfPx5CiIR7NUspsX79eowfPx5ZWVm45ZZb8Oabb/b9DRJR6mQwq4g8I/aXfan+opbOuQeTFGdVQUEBcnNz3SNR5yogPW3bk43pS9v2zn7+859j+PDhuPPOO+Me//a3v42dO3fi4MGDWLduHfbs2dNlDA0S6c4S5lTPeF1F1JVTdOD8wk83ICOR+MMw3MKGuKKrRLkT+1i0mEHGFHN1mVs34oolmGPI+JoV0YAUWyDlZFVsphhGR570s+NVn+ZmVtmYVUQ2p3OnU1weCkO2tUO53AL1Ygt8F1vhu9gK7WIL1EutEM1tkK3t9rjYLQHdwk8z/trMmTMUhmxth2hug/pxC7SYudWLLVAut0C2tEG2t3cU0Vv8npiprPL7/SgsLER1dXXc49XV1ZgzZ07C58yePbvL+P3792PmzJnw+XxJxzhz9ua8fr8ff/EXf4G33347bsw777yDiRMn9u2NknfEZlVEt7OipQ3KlVY7UxpboF20/6xcaYVobu2UU918Z4v5TmlfQ+mQoTBEc2vH3BdboTW2uHO7WeUUXzGreF2VRtxqkCidUhk8fZxn9+7dWLNmDTZv3oybbroJP/vZz7Bo0SK89dZbmDBhQpfxZ86cweLFi7Fy5Ur84he/wO9//3uUlZXh6quvdrfDqampQXFxMR599FEsXboUe/fuxbJly3DkyBHMmjULANDa2oovfOEL+Lu/+zv3eZ396Ec/wuOPP44dO3bg2muvxQ9/+EPcdtttePvttzF8+PC+vVEiSo1U5RUvtogonVKcVYOhbXtn27dvx7e//W0Eg8G4x1euXOn+efr06fjsZz+LmTNn4sSJE/jiF7/Y7Xsgon7gdRVRYlICsCBNAEJCyOj2g86PY7YGjH9OD3MK4T5HmgBMQCgi7p9Ql0IuyuiaFdGA1imrnEwB+plTseOiedWruZlVHXhtRdRBWpCWYne8AuwtnE0TIuIDFMXddllalttpximucrZI7dxJRloSQoluhWqakJGIPa+0IHTNXn9QVTuXogUPiOhuwWi/ClEHowxmVXl5OUpKSjBz5kzMnj0bzzzzDGpra1FaWgoAqKiowIULF/D8888DAEpLS/HUU0+hvLwcK1euRE1NDbZt24adO3e6c65evRrz5s3Dxo0bsWTJErz44os4cOAAjhw50uvzAsADDzyA4uJizJs3D7feeit+/etf46WXXsLBgwf79/mQN3TOKkvamaJpHdvQOznlFFE5WdVTnkjLzSp3+0DDAFQVQon2HJKSWdUdXlelDQuviAapxx9/HMuXL8eKFSsAAJWVldi3bx+2bNmSsJvD1q1bMWHCBFRWVgKwW30eO3YMmzZtcguoKisrcdttt6GiogKAfbF26NAhVFZWuhdkixYtwqJFi7p9XVJKVFZW4qGHHnK7LPz85z/H2LFj8W//9m/4zne+k7LPgIiIiCgZp117TwZy2/ZYhw8fxttvv43du3f3+J6++MUvwufz4d1332XhFRERZYTzSz+hiMRbSfS1mKHT3N3OS0TUR91mSV+Lo7rJKyKiPpEWABWw7G1RhZSQlgURzRhpWXaRlWl1bCPYeRvT2D8LxX1MSmHPJyWEaUEKC0JVosUQMn4+y+o6F2VEcXExLl68iA0bNqCurg7Tp09HVVWV21Wqrq4ubmu/SZMmoaqqCmvXrsXTTz+N8ePH44knnohrpjBnzhzs2rULDz/8MNatW4cpU6Zg9+7dbhOG3pwXAJYuXYqtW7fisccew6pVq3Dddddhz549uPnmmz+FT4YyqnNWRTMFirALOp3uU5/kWsh5vvNf4eRTTAYyq+hTwsIrojQSdsanbC4AaGpqins8EAh06c4QiURw/Phx/OAHP4h7fMGCBTh69GjC+WtqarBgwYK4xxYuXIht27ZB13X4fD7U1NRg7dq1XcY4xVq9cebMGdTX18edKxAIYP78+Th69CgLr4gyJFV5larMIyJKJFNZFds+fenSpe7j1dXVWLJkScLnzJ49Gy+99FLcY921bY+9vuqubXtvzrtt2zYUFhbiC1/4Qo/v6c0334Su6xg3blyPY4mob3hdRZREpw5VEMon6yCT7nkHsXSsWRENGp0zBbALE1KRJwnyqssvAplVcXhtRRTDKa4yTbt4QdchEe18JRRAER2drUwL0HW3CCHhtVH079Kyi6+EkJAwIWA3MxHSgjS6n1eaZsfrGuIynVVlZWUoKytL+LMdO3Z0eWz+/Pk4ceJE0jmLiopQVFTU7/M67rvvPtx3331Jx9AgE5tVAAR0N1MgFLtZkpMnzrancTmVpOhd2DfYOHnlPC5U086r2Ll13d3OPum8Q0ims2owUzL9AogGNZniA0BBQQFyc3PdI1H3qsbGRpim2aUTwtixY7t0THDU19cnHG8YBhobG5OO6W7O7s7jPO+TzENEKZbirCIiSosMZlV5eTmeffZZbN++HadOncLatWu7tG2/55573PGlpaU4d+4cysvLcerUKWzfvh3btm3D/fff745ZvXo19u/fj40bN+L06dPYuHEjDhw4gDVr1vT6vI6mpib8+7//u9vtNNZ7772HDRs24NixYzh79iyqqqrwzW9+EzfeeCNuuummvn8YRJQcr6uIkot2SrD/bMUcMv5n/Z3X6ejgHJ3PSbY0rFkRDSqdMykVOZVo7s45xazqillFFC+aHVI37C20IhHIUBgyHIZsD9n/DYXtx2OLGhJdG3W6JnO2+pJ6D/NGt+5ys5GYVUSdOVkV3aLUzZT29vg80Y1OOdXDP4KYeRPnVXt8VvV23qEiw1m1efNmTJo0CcFgEIWFhTh8+HDS8YcOHUJhYSGCwSAmT56MrVu3dhmzZ88eTJs2DYFAANOmTcPevXv7dd5Tp07h61//OnJzczF8+HB86UtfiusW2BMWXhF5zPnz53HlyhX3cLb9S0R0bl0tZZfHehrf+fG+zpmq10ZERESUScXFxaisrMSGDRswY8YMvPLKK71q237w4EHMmDEDjz76aLdt25977jl8/vOfx44dOxK2bU92XseuXbsgpcRf//Vfd3ntfr8fv/nNb7Bw4UJcd911WLVqFRYsWIADBw5AVdVUf1RElGEDdRFLCJHw+PGPf+yOueWWW7r8/O677+7nJ0EDXlzhQYoXwdM5NxENPenMEuYUEfWXtOzuMKZpd3TR7QID+78dBVfSSlDkGTdPfAGWtGRHQUN388bOSUSUTOescnMlQU71Zbv5bvPKYlYNULt378aaNWvw0EMP4eTJk5g7dy4WLVrUbXHTmTNnsHjxYsydOxcnT57Egw8+iFWrVmHPnj3umJqaGhQXF6OkpASvv/46SkpKsGzZMrz66qt9Ou97772Hm2++Gddffz0OHjyI119/HevWrUMwGOz1++NWg0TplMrq9Og8OTk5yMnJSTo0Ly8Pqqp26SDV0NDQpdOUIz8/P+F4TdMwevTopGO6m7O78wB256vYrW36Og8RpViq8oprhUSUThnOqoHctv3v//7v8fd///cJf1ZQUIBDhw4lfT4RpVAGs8pZTNq8eTNuuukm/OxnP8OiRYvw1ltvYcKECV3GO4tYK1euxC9+8Qv8/ve/R1lZGa6++mq3UNRZxHr00UexdOlS7N27F8uWLcORI0fcQtHenLeuri7u3L/61a+wfPnyuIJUAFi5ciU2bNjg/j0rK6vvHwQR9SwNa1ZERGnBNSuirpxtS92/29t3IeFWy30sOnDm6mle53WQjVlF1FVMVklLQijdbLXc3+KoRHkVncvdttB5HWTLYFY9/vjjWL58ubtjQ2VlJfbt24ctW7Yk3OFr69atmDBhAiorKwEAU6dOxbFjx7Bp0yZ3LamyshK33Xab26imoqIChw4dQmVlJXbu3Nnr8z700ENYvHgxfvSjH7nnnzx5cp/eHzteEQ1Cfr8fhYWFqK6ujnu8uroac+bMSfic2bNndxm/f/9+zJw5Ez6fL+mY7uZMZNKkScjPz4+bJxKJ4NChQ32ah4iIiIiIiOLFLiZNnToVlZWVKCgowJYtWxKOj13Emjp1KlasWIH77rsPmzZtcsfELmJdf/31qKiowFe+8hV34au3583Pz487XnzxRdx6661dFrKys7PjxuXm5qb2QyKiAWGgducDPvkWE0RERJ8ap+NLtOuLjOke02Onqy5zJeh81dO8REQ9idkKPi5XEuVUX+cFks/LLQYHjEgkguPHj2PBggVxjy9YsABHjx5N+Jyampou4xcuXIhjx45B1/WkY5w5e3Ney7Lw8ssv49prr8XChQsxZswYzJo1C7/85S/79B5ZeEWURkKm9uiL8vJyPPvss9i+fTtOnTqFtWvXora2FqWlpQDsis977rnHHV9aWopz586hvLwcp06dwvbt27Ft2zbcf//97pjVq1dj//792LhxI06fPo2NGzfiwIEDWLNmjTumpaUFr732Gl577TUA9h3Ur732mrtAJYTAmjVr8M///M/Yu3cv/vjHP+Lee+9FdnY2vvWtb/XvgyaiTyxTWeXIxKL7K6+8gjvuuAPjx4+HECLhRZSUEuvXr8f48eORlZWFW265BW+++Wb/3iQRfWKZzioiot5IdVY1NTXFHeFwOOF5B/IiVmcffvghXn75ZSxfvrzLz1544QXk5eXhhhtuwP3334/m5uaEcxDRJ5PJNavBvsUEEaUWvwcSdcMplLLMmAKDzofsXzFDTKFEl8MyuU1qAswqoiSS5sonyJN0zTuIZWrNqrGxEaZpdtn9auzYsV1223LU19cnHG8YBhobG5OOcebszXkbGhrQ0tKCf/mXf8Htt9+O/fv3Y+nSpbjzzjv7tIsEC6+I0kmm+OiD4uJiVFZWYsOGDZgxYwZeeeUVVFVVYeLEiQDsbR5iF5YmTZqEqqoqHDx4EDNmzMCjjz6KJ554Im7bhzlz5mDXrl147rnn8PnPfx47duzA7t273e0lAODYsWO48cYbceONNwKwC8BuvPFG/I//8T/cMd///vexZs0alJWVYebMmbhw4QL279+P4cOH9+1NElHqZCirgMwture2tuILX/gCnnrqqW5f249+9CM8/vjjeOqpp/CHP/wB+fn5uO222/gLQKJMyWBWERH1WoqzqqCgALm5ue6RqP06MLAXsTr7+c9/juHDh+POO++Me/zb3/42du7ciYMHD2LdunXYs2dPlzFElCIZXLMayN35YreYuPHGGzF58mR87Wtfw5gxY/r2Jokodfg9kKhncd2qZGoKDjrPwyKG5JhVRD2LzZVUZkq65h2MMrRm5RCx2+QCkFJ2eayn8Z0f782cycZYlt11bcmSJVi7di1mzJiBH/zgB/irv/qrhE0fuqP1eiQReU5ZWRnKysoS/mzHjh1dHps/fz5OnDiRdM6ioiIUFRV1+/NbbrnFDb3uCCGwfv16rF+/Puk4IhoaMrWv86JFi7Bo0aJuX5eUEpWVlXjooYfcX/j9/Oc/x9ixY/Fv//Zv+M53vpOyz4CIiIioO+fPn0dOTo7790AgkHT8QFzE6mz79u349re/3aWDzMqVK90/T58+HZ/97Gcxc+ZMnDhxAl/84he7fQ9E5B1Ol7wf/OAHcY/3pzvftm3boOs6fD4fampqsHbt2i5jnO+NvTmvs8XE97//fSxcuBAnT57EpEmTUFFRgW984xuf4F0TERF9StJVbMAiBiIiSqC3a1Z5eXlQVbXLDXoNDQ1dbuRz5OfnJxyvaRpGjx6ddIwzZ2/Om5eXB03TMG3atLgxU6dOxZEjRxK+tkQ80fHq7NmzWL58OSZNmoSsrCxMmTIFjzzyCCKRSKZfGlFSmWzbTp8+ZhV52VDbEqc3zpw5g/r6+rh5AoEA5s+f36d5BiLmFXkVr6uGFmYVeVWqsyonJyfu8OIiVqzDhw/j7bffdovuk/niF78In8+Hd999t8exmcKsIq9Kx5pVb74HDuTufKnaYmIgYlaRl/F74NDBrCIvY1YNLcwr8qpMrVn5/X4UFhaiuro67vHq6mrMmTMn4XNmz57dZfz+/fsxc+ZM+Hy+pGOcOXtzXr/fj7/4i7/A22+/HTfmnXfecXcS6w1PdLw6ffo0LMvCz372M/z5n/85/vjHP2LlypVobW2NaylNNOBIpK4tKC+2BjxmFXlaqvIqOkdBQUHcw4888kjCLnfpWHQfN25cj4vuveGMTTTPuXPnej3PQMS8Is9KcVbRwMasIs/KUFbFLiYtXbrUfby6uhpLlixJ+JzZs2fjpZdeinusu0Ws2E4y3S1i9ea827ZtQ2FhIb7whS/0+J7efPNN6LqOcePG9Tg2U5hV5FlpWLPq7fdAAAOyO1/nLSYAYMaMGTh69Ci2bt2K+fPnd/v6BjpmFXkavwcOGcwq8jRm1ZDCvCLPymBWlZeXo6SkBDNnzsTs2bPxzDPPoLa2FqWlpQDsnWsuXLiA559/HgBQWlqKp556CuXl5Vi5ciVqamqwbds2d1cbAFi9ejXmzZuHjRs3YsmSJXjxxRdx4MCBuE5VPZ0XAB544AEUFxdj3rx5uPXWW/HrX/8aL730Eg4ePNjr9+eJwqvbb78dt99+u/v3yZMn4+2338aWLVsYXkQ0YDCriDp4ZUuc3kjVPAMJ84qIvIBZRdR3A3kRC7C74fz7v/87fvKTn3R57e+99x5eeOEFLF68GHl5eXjrrbfwve99DzfeeCNuuummdHxcKcGsIurQm++BA7k7X6q2mBiImFVE5AXMKiLyCuYVUd8VFxfj4sWL2LBhA+rq6jB9+nRUVVW5XaXq6upQW1vrjp80aRKqqqqwdu1aPP300xg/fjyeeOIJ3HXXXe6YOXPmYNeuXXj44Yexbt06TJkyBbt378asWbN6fV4AWLp0KbZu3YrHHnsMq1atwnXXXYc9e/bg5ptv7vX780ThVSJXrlzBqFGjko4Jh8NxLa2bmprS/bKI4rHj1ZDHrCLPSHGVu9NWtCeZWnTvjfz8fAB256vYLgt9nccresorZhUNCLx7cMhjVpEnZDCrBvIiFgDs2rULUkr89V//dZfX7vf78Zvf/AY//elP0dLSgoKCAnzta1/DI488AlVV+/5hZBC/B5InpGHNqjffAwdyd75UbTHhFcwq8gx+DxzSmFXkGcyqIY9rVuQJGc6qsrIylJWVJfzZjh07ujw2f/58nDhxIumcRUVFKCoq6vd5Hffddx/uu+++pGOSUfr9zAx677338OSTT3a5c7Kzxx57DLm5ue7Rud01EVE6MauIepapfZ17Y9KkScjPz4+bJxKJ4NChQ32axwt6k1fMKiLKNGYVUe+UlZXh7NmzCIfDOH78OObNm+f+bMeOHV3apDuLWOFwGGfOnEn4b6yoqAinT59GJBLBqVOncOedd/bpvI6///u/R1tbG3Jzc7v8rKCgAIcOHcLFixcRDofxpz/9CT/96U97/EXbQMPvgUQ9Ky8vx7PPPovt27fj1KlTWLt2bZfufPfcc487vrS0FOfOnUN5eTlOnTqF7du3Y9u2bbj//vvdMatXr8b+/fuxceNGnD59Ghs3bsSBAwewZs2aXp8XsLeY2L17N/7X//pf+NOf/oSnnnoKL730Uo+L9F7DrCIiL2BWEZFXcM2KiDJaeLV+/XoIIZIex44di3vOBx98gNtvvx3f/OY3sWLFiqTzV1RU4MqVK+5x/vz5dL4doi5Eig/KDGYVDQWZzKpMLbq3tLTgtddew2uvvQYAOHPmDF577TW3C4QQAmvWrME///M/Y+/evfjjH/+Ie++9F9nZ2fjWt77Vj3eafunMK2YVDQS8rhocmFU02DGrBgd+D6TBLpNrVsXFxaisrMSGDRswY8YMvPLKK73qznfw4EHMmDEDjz76aLfd+Z577jl8/vOfx44dOxJ250t2XqBji4kf/ehH+NznPodnn322z1tMfJqYVTQU8NrK+5hVNBQwqwYHrlnRYMesSp+MbjX43e9+F3fffXfSMddcc4375w8++AC33norZs+ejWeeeabH+QOBAAKBwCd9mUT9x60GBwVmFQ0JQ3BLnGPHjuHWW291/15eXg4A+Nu//Vu3pen3v/99tLe3o6ysDJcuXcKsWbOwf/9+DB8+vO9v9FOQzrxiVtGAwLbtgwKzigY9ZtWgwO+BNOhleM1qMG8x8WliVtGQkMFrq82bN+PHP/4x6urqcMMNN6CyshJz587tdvyhQ4dQXl6ON998E+PHj8f3v//9Lt1P9uzZg3Xr1uG9997DlClT8E//9E9xW6D29rynTp3CP/7jP+LQoUOwLAs33HAD/s//+T+YMGFC399omjGraEjg98BBgWtWNOgxq9Imo4VXeXl5yMvL69XYCxcu4NZbb0VhYSGee+45KIond0kkIg9iVhGlXyYW3W+55RZImfzqUAiB9evXY/369UnHDRTMKyLyAmYVEXkBs4qIvIBZRZQ+u3fvxpo1a7B582bcdNNN+NnPfoZFixbhrbfeSljcdObMGSxevBgrV67EL37xC/z+979HWVkZrr76avdmwZqaGhQXF+PRRx/F0qVLsXfvXixbtgxHjhxxbxbszXnfe+893HzzzVi+fDn+5//8n8jNzcWpU6cQDAY/vQ+oD5hVROQVzCsi6q+MFl711gcffIBbbrkFEyZMwKZNm/DRRx+5P8vPz8/gKyNKTkj7SNVcNLAxq8jLUpVXzCpvYF6RVzGrhhZmFXkVs2poYVaRV3HNamhhVpGXZera6vHHH8fy5cvdbaMqKyuxb98+bNmyBY899liX8Vu3bsWECRNQWVkJAJg6dSqOHTuGTZs2uYVXlZWVuO2221BRUQHA3nbq0KFDqKysxM6dO3t93oceegiLFy/Gj370I/f8kydP7tsbHICYVeRl/B44tDCvyKuYVenjicKr/fv3409/+hP+9Kc/4TOf+Uzcz3rqVEGUUdxqcEhhVpGnsb3okMK8Is9iVg0pzCryLGbVkMKsIs/imtWQwqwiT0vxtVVTU1Pcw4m2fopEIjh+/Dh+8IMfxD2+YMECHD16NOH0NTU1WLBgQdxjCxcuxLZt26DrOnw+H2pqarB27douY5xird6c17IsvPzyy/j+97+PhQsX4uTJk5g0aRIqKirwjW98o8ePYSBjVpGn8XvgkMK8Is9iVqWNJ3re3XvvvZBSJjyIiAYKZhUReQXzioi8gFlFRF7ArCIiL2BWEXUoKChAbm6ueyTqXtXY2AjTNDF27Ni4x8eOHYv6+vqE89bX1yccbxgGGhsbk45x5uzNeRsaGtDS0oJ/+Zd/we233479+/dj6dKluPPOO3Ho0KE+fBIDD7OKiLyCeUVEnXmi4xWRp/H/Y4nIK5hXROQFzCoi8gJmFRF5AbOKiLwihXl1/vx55OTkuH/v3O0qlhAi/mVI2eWxnsZ3frw3cyYbY1kWAGDJkiVu96wZM2bg6NGj2Lp1K+bPn9/t6yOiNOO1FRF5AbMqLVh4RZRGqdon1ZmLiChduK8zEXkBs4qIvIBZRURewDUrIvKKVF9b5eTkxBVeJZKXlwdVVbt0t2poaOjSjcqRn5+fcLymaRg9enTSMc6cvTlvXl4eNE3DtGnT4sZMnToVR44cSfq+iCh9+D2QiLyAWZU+nthqkIiIiIiIiIiIiIiIiCjd/H4/CgsLUV1dHfd4dXU15syZk/A5s2fP7jJ+//79mDlzJnw+X9Ixzpy9Oa/f78df/MVf4O23344b884772DixIl9fKdERERElArseEWUThKpa9fHylEiSqdU5RWziojSiVlFRF7ArCIiL+CaFRF5RYaurcrLy1FSUoKZM2di9uzZeOaZZ1BbW4vS0lIAQEVFBS5cuIDnn38eAFBaWoqnnnoK5eXlWLlyJWpqarBt2zbs3LnTnXP16tWYN28eNm7ciCVLluDFF1/EgQMH4jpV9XReAHjggQdQXFyMefPm4dZbb8Wvf/1rvPTSSzh48GD/Px8i+mT4PZCIvIBZlTYsvCIiIiIiIiIiIiIiIiKKKi4uxsWLF7FhwwbU1dVh+vTpqKqqcrtK1dXVoba21h0/adIkVFVVYe3atXj66acxfvx4PPHEE7jrrrvcMXPmzMGuXbvw8MMPY926dZgyZQp2796NWbNm9fq8ALB06VJs3boVjz32GFatWoXrrrsOe/bswc033/wpfDJERERE1BkLr4jSKFX7pDpzERGlC/d1JiIvYFYRkRcwq4jIC7hmRURekclrq7KyMpSVlSX82Y4dO7o8Nn/+fJw4cSLpnEVFRSgqKur3eR333Xcf7rvvvqRjiOjTw++BROQFzKr0YeEVUTqxbTsReQXbixKRFzCriMgLmFVE5AVcsyIir+C1FRF5AbOKiLyAWZU2SqZfABERERERERERERERERERERERkdew4xVRGrFtOxF5BduLEpEXMKuIyAuYVUTkBVyzIiKv4LUVEXkBs4qIvIBZlT4svCJKJ7ZtJyKvYHtRIvICZhUReQGzioi8gGtWROQVvLYiIi9gVhGRFzCr0oZbDRIREREREREREREREREREREREfURO14RpRPvHiQir2CVOxF5AbOKiLyAWUVEXsA1KyLyCl5bEZEXMKuIyAuYVWnDjldERERERERERERERERERERERER9xI5XRGkkpH2kai4ionRJVV4xq4gonZhVROQFzCoi8gKuWRGRV/Daioi8gFlFRF7ArEofFl4RpRPbthORV7C9KBF5AbOKiLyAWUVEXsA1KyLyCl5bEZEXMKuIyAuYVWnDrQaJiIiIiIiIiIiIiIiIiIiIiIj6iB2viNJISAkhU1Pymap5iIgSSVVeMauIKJ2YVUTkBcwqIvICrlkRkVfw2oqIvIBZRURewKxKHxZeEaUT27YTkVewvSgReQGzioi8gFlFRF7ANSsi8gpeWxGRFzCriMgLmFVpw60GiYiIiIiIiIiIiIiIiIiIiIiI+ogdr4jSSEj7SNVcRETpkqq8YlYRUToxq4jIC5hVROQFXLMiIq/gtRUReQGzioi8gFmVPux4RURERERERERERERERERERERE1EfseEWUTqnaJ9WZi4goXbivMxF5AbOKiLyAWUVEXsA1KyLyCl5bEZEXMKuIyAuYVWnDwiuiNGLbdiLyCrYXJSIvYFYRkRcwq4jIC7hmRURewWsrIvICZhUReQGzKn241SAREREREREREREREREREREREVEfseMVUTqxbTsReQXbixKRFzCriMgLmFVE5AVcsyIir+C1FRF5AbOKiLyAWZU2LLwiSiO2bScir2B7USLyAmYVEXkBs4qIvIBrVkTkFby2IiIvYFYRkRcwq9KHWw0SERERERERERERERERERERERH1EQuviNJJpvggIkoXZhUReQGzioi8gFlFRF7ANSsi8gpmFRF5QYazavPmzZg0aRKCwSAKCwtx+PDhpOMPHTqEwsJCBINBTJ48GVu3bu0yZs+ePZg2bRoCgQCmTZuGvXv3fqLzfuc734EQApWVlX1+f0SUIryuShsWXhGlmdOy75MeRETpxqwiIi9gVhGRFzCriMgLuGZFRF7BrCIiL8hUVu3evRtr1qzBQw89hJMnT2Lu3LlYtGgRamtrE44/c+YMFi9ejLlz5+LkyZN48MEHsWrVKuzZs8cdU1NTg+LiYpSUlOD1119HSUkJli1bhldffbVf5/3lL3+JV199FePHj+/fmySilOF1VXqw8IqIiIiIiKgXBurdg/feey+EEHHHl770pbgx4XAY//AP/4C8vDwMGzYMX//61/H+++/341MgIiIiIiIiIqKB4vHHH8fy5cuxYsUKTJ06FZWVlSgoKMCWLVsSjt+6dSsmTJiAyspKTJ06FStWrMB9992HTZs2uWMqKytx2223oaKiAtdffz0qKirwla98Ja5bVW/Pe+HCBXz3u9/FCy+8AJ/Pl5bPgIgo01h4RZROUqb2ICJKF2YVEXlBBrNqoN89ePvtt6Ours49qqqq4n6+Zs0a7N27F7t27cKRI0fQ0tKCv/qrv4Jpmn3+LIioB7yuIiIv4JoVEXkFs4qIvCBDWRWJRHD8+HEsWLAg7vEFCxbg6NGjCZ9TU1PTZfzChQtx7Ngx6LqedIwzZ2/Pa1kWSkpK8MADD+CGG27o03sjojTgdVXasPCKiIiIiIioBwP97sFAIID8/Hz3GDVqlPuzK1euYNu2bfjJT36Cr371q7jxxhvxi1/8Am+88QYOHDiQ2g+KiIiIiIiIiIg+kaamprgjHA4nHNfY2AjTNDF27Ni4x8eOHYv6+vqEz6mvr0843jAMNDY2Jh3jzNnb827cuBGapmHVqlW9eNdERN7FwiuiNErFHqncL5WIPg3MKiLygkxl1UC/exAADh48iDFjxuDaa6/FypUr0dDQ4P7s+PHj0HU9bp7x48dj+vTp3b5+Iuo/XlcRkRdwzYqIvIJZRURekOqsKigoQG5urns89thjyc8vRNzfpZRdHutpfOfHezNnsjHHjx/HT3/6U+zYsSPpayGiTw+vq9JHy/QLIBrUZPRI1VxEROmSqrxiVhFROqU4q5qamuIeDgQCCAQCXYan4+7BcePGpezuwUWLFuGb3/wmJk6ciDNnzmDdunX48pe/jOPHjyMQCKC+vh5+vx8jR47s9esnok+A11VE5AVcsyIir+C1FRF5QYqz6vz588jJyXEfTrReBQB5eXlQVbXL+k5DQ0OX9SRHfn5+wvGapmH06NFJxzhz9ua8hw8fRkNDAyZMmOD+3DRNfO9730NlZSXOnj2b8PURURrxuipt2PGKiIiIiIiGpMFw9yAAFBcX42tf+xqmT5+OO+64A7/61a/wzjvv4OWXX076fnp6/URERERERERE9OnLycmJO7orvPL7/SgsLER1dXXc49XV1ZgzZ07C58yePbvL+P3792PmzJnw+XxJxzhz9ua8JSUl+K//+i+89tpr7jF+/Hg88MAD2LdvXy8/CSIib2DhFVEaCSu1BxFRujCriMgLUp1V58+fx5UrV9yjoqIi4XkH8t2DiYwbNw4TJ07Eu+++654nEong0qVLfZqHiPon09dVmzdvxqRJkxAMBlFYWIjDhw8nHX/o0CEUFhYiGAxi8uTJ2Lp1a5cxe/bswbRp0xAIBDBt2jTs3bu3z+e99957IYSIO770pS/FjQmHw/iHf/gH5OXlYdiwYfj617+O999/vx+fAhH1hGtWROQVzCoi8oJMZlV5eTmeffZZbN++HadOncLatWtRW1uL0tJSAEBFRQXuueced3xpaSnOnTuH8vJynDp1Ctu3b8e2bdtw//33u2NWr16N/fv3Y+PGjTh9+jQ2btyIAwcOYM2aNb0+7+jRozF9+vS4w+fzIT8/H9ddd13/Pmgi+kQyfV01UNesYn3nO9+BEAKVlZV9em8svCJKJ5nig4goXZhVROQFKc6qwXD3YCIXL17E+fPnMW7cOABAYWEhfD5f3Dx1dXX44x//mHQeIuqnDF5X7d69G2vWrMFDDz2EkydPYu7cuVi0aBFqa2sTjj9z5gwWL16MuXPn4uTJk3jwwQexatUq7Nmzxx1TU1OD4uJilJSU4PXXX0dJSQmWLVuGV199tc/nvf3221FXV+ceVVVVcT9fs2YN9u7di127duHIkSNoaWnBX/3VX8E0zb5/GESUHNesiMgrmFVE5AUZzKri4mJUVlZiw4YNmDFjBl555RVUVVVh4sSJAOw1oNjvZpMmTUJVVRUOHjyIGTNm4NFHH8UTTzyBu+66yx0zZ84c7Nq1C8899xw+//nPY8eOHdi9ezdmzZrV6/MS0QDENauk5/3lL3+JV199FePHj+/z+2PhFRERERERUQ8G6t2DLS0tuP/++1FTU4OzZ8/i4MGDuOOOO5CXl4elS5cCAHJzc7F8+XJ873vfw29+8xucPHkSf/M3f4PPfe5z+OpXv/opfHpE9Gl5/PHHsXz5cqxYsQJTp05FZWUlCgoKsGXLloTjt27digkTJqCyshJTp07FihUrcN9992HTpk3umMrKStx2222oqKjA9ddfj4qKCnzlK1+Ju/Ovt+cNBALIz893j1GjRrk/u3LlCrZt24af/OQn+OpXv4obb7wRv/jFL/DGG2/gwIEDqf2giCjjBvOdzkRERESftrKyMpw9exbhcBjHjx/HvHnz3J/t2LEDBw8ejBs/f/58nDhxAuFwGGfOnHHXmWIVFRXh9OnTiEQiOHXqFO68884+nTeRs2fPxq17EdHQMdDXrC5cuIDvfve7eOGFF9wbp/uChVdEaSRkag8ionRhVhGRF2Qyqwbq3YOqquKNN97AkiVLcO211+Jv//Zvce2116KmpgbDhw935/nXf/1XfOMb38CyZctw0003ITs7Gy+99BJUVe37h0FESaU6q5qamuKOcDic8LyRSATHjx/HggUL4h5fsGABjh49mvA5NTU1XcYvXLgQx44dg67rScc4c/blvAcPHsSYMWNw7bXXYuXKlWhoaHB/dvz4cei6HjfP+PHjMX369G5fPxH1XybXrAb7nc5ElFpcsyIiL2BWEZEXcM0q8Xkty0JJSQkeeOAB3HDDDT18iolp/XoWERERERHREFNWVoaysrKEP9uxY0eXx5y7B5MpKipCUVFRv8+blZWFffv2JX0+AASDQTz55JN48sknexxLRANLQUFB3N8feeQRrF+/vsu4xsZGmKaJsWPHxj0+duxY1NfXJ5y7vr4+4XjDMNDY2Ihx48Z1O8aZs7fnXbRoEb75zW9i4sSJOHPmDNatW4cvf/nLOH78OAKBAOrr6+H3+zFy5Mhev34i8qbYO44B+y7lffv2YcuWLXjssce6jI+90xkApk6dimPHjmHTpk1uUXvsnc6A3Y300KFDqKysxM6dO/t0XudO53379uFrX/ta2j4HIiIiIiIiLxssa1YbN26EpmlYtWpV8jechOc6XoXDYcyYMQNCCLz22muZfjlEyUmZ2oM8g1lFnsOsGrKYV+QpzKohi1lFnpLirDp//jyuXLniHk5RQXeEEJ1ejuzyWE/jOz/emzl7GlNcXIyvfe1rmD59Ou644w786le/wjvvvIOXX3456fvp6fUPJMwq8pQ0rFn15m7noXCn80DHrCLP4ffAIYlZRZ7DrBqymFfkKVyz6jLm+PHj+OlPf4odO3Z8ovUnzxVeff/732eLZ/KMTLZtp8xiVpHXMKuGLuYVeQmzauhiVpGXpDqrcnJy4o5AIJDwvHl5eVBVtcudgg0NDV3u7HPk5+cnHK9pGkaPHp10jDNnf84LAOPGjcPEiRPx7rvvuueJRCK4dOlSn+YZSJhV5CXpWLMqKChAbm6ueyTqXpWOO52TjcnEnc4DHbOKvIbfA4cmZhV5DbNq6GJekZdwzarrmMOHD6OhoQETJkyApmnQNA3nzp3D9773PVxzzTU9f6hRniq8+tWvfoX9+/dj06ZNmX4pRETdYlYRkVcwr4jIC5hVRL3j9/tRWFiI6urquMerq6sxZ86chM+ZPXt2l/H79+/HzJkz4fP5ko5x5uzPeQHg4sWLOH/+PMaNGwcAKCwshM/ni5unrq4Of/zjH5POM1Awq4j6drfzYL7TeSBjVhGRFzCriMgrmFdEvTOQ16xKSkrwX//1X3jttdfcY/z48XjggQewb9++Xr9HzxReffjhh1i5ciX+9//+38jOzu7Vc8LhcJcW10SfKpnigwY8ZhV5FrNqyOlrXjGraEBgVg05zCrypAxmVXl5OZ599lls374dp06dwtq1a1FbW4vS0lIAQEVFBe655x53fGlpKc6dO4fy8nKcOnUK27dvx7Zt23D//fe7Y1avXo39+/dj48aNOH36NDZu3IgDBw5gzZo1vT5vS0sL7r//ftTU1ODs2bM4ePAg7rjjDuTl5WHp0qUAgNzcXCxfvhzf+9738Jvf/AYnT57E3/zN3+Bzn/scvvrVr/b9w/gU8XsgeVIa1qx6c7fzULjTeaBiVpFnZfDaavPmzZg0aRKCwSAKCwtx+PDhpOMPHTqEwsJCBINBTJ48GVu3bu0yZs+ePZg2bRoCgQCmTZuGvXv3fqLzfuc734EQApWVlX1+fwMRs4o8i2tWQw7XrMiTuGbV5byjR4/G9OnT4w6fz4f8/Hxcd911vX5/nii8klLi3nvvRWlpKWbOnNnr5z322GNx7a0LCgrS+CqJukpH23YauJhV5GXMqqGlP3nFrKKBgFk1tDCryKsymVXFxcWorKzEhg0bMGPGDLzyyiuoqqrCxIkTAdgdpGpra93xkyZNQlVVFQ4ePIgZM2bg0UcfxRNPPIG77rrLHTNnzhzs2rULzz33HD7/+c9jx44d2L17N2bNmtXr86qqijfeeANLlizBtddei7/927/Ftddei5qaGgwfPtyd51//9V/xjW98A8uWLcNNN92E7OxsvPTSS1BVte8fxqeE3wPJqzK1ZjUU7nQeiJhV5GWZurbavXs31qxZg4ceeggnT57E3LlzsWjRorhrqVhnzpzB4sWLMXfuXJw8eRIPPvggVq1ahT179rhjampqUFxcjJKSErz++usoKSnBsmXL8Oqrr/brvL/85S/x6quvDpotrphV5GVcsxpauGZFXsU1q67nTZWMFl6tX78eQoikx7Fjx/Dkk0+iqakpaXvqRCoqKuLaW58/fz5N74SIBjNmFRF5RTrzillFRKnCrCJKr7KyMpw9exbhcBjHjx/HvHnz3J/t2LEDBw8ejBs/f/58nDhxAuFwGGfOnHHv+ItVVFSE06dPIxKJ4NSpU7jzzjv7dN6srCzs27cPDQ0NiEQiOHfuHHbs2NFloTkYDOLJJ5/ExYsX0dbWhpdeeilji9H8HkiUPoP9TudPE7OKKH0ef/xxLF++HCtWrMDUqVNRWVmJgoICbNmyJeH4rVu3YsKECaisrMTUqVOxYsUK3HfffXHbT1VWVuK2225DRUUFrr/+elRUVOArX/lKXLeq3p73woUL+O53v4sXXnjBLUIdqJhVROQVXLMiSq+BuGaVyNmzZ+O+S/aG1qfRKfbd734Xd999d9Ix11xzDX74wx/i//2//9elPfXMmTPx7W9/Gz//+c8TPjcQCCRsaU30qZHSPlI1F2UEs4qGhFTlFbMqo9KZV8wqGhCYVYMCs4oGPWbVoMDvgTToZXDNqri4GBcvXsSGDRtQV1eH6dOn9+pO57Vr1+Lpp5/G+PHju73T+eGHH8a6deswZcqUhHc6JzuvFzGraEhI8bVV562dEv3vPBKJ4Pjx4/jBD34Q9/iCBQtw9OjRhNPX1NRgwYIFcY8tXLgQ27Ztg67r8Pl8qKmpwdq1a7uMcQqventey7JQUlKCBx54ADfccEMPbzzzmFU0JPB74KDANSsa9JhVaZPRwqu8vDzk5eX1OO6JJ57AD3/4Q/fvH3zwARYuXNjlyzMRUTowq4jIK5hXROQFzCoi8gJmFVF6lZWVoaysLOHPduzY0eUx507nZIqKilBUVNTv8yZy9uzZXo/NBGYVUd917qb5yCOPYP369XGPNTY2wjRNjB07Nu7xsWPHor6+PuG89fX1CccbhoHGxkaMGzeu2zHOnL0978aNG6FpGlatWtXzGx4AmFVE5BXMKyLqr4wWXvXWhAkT4v5+1VVXAQCmTJmCz3zmM5l4SUS9ksr9mLmv88DHrCIvS1VeMau8gXlFXsWsGlqYVeRVzKqhhVlFXsU1q6GFWUVeluprq/PnzyMnJ8d9PFn3ESFE3N+llF0e62l858d7M2eyMcePH8dPf/pTnDhxIulr8SJmFXkZvwcOLcwr8ipmVfp4ovCKyLNk9EjVXERE6ZKqvGJWEVE6MauIyAuYVUTkBVyzIiKvSPG1VU5OTlzhVSJ5eXlQVbVLd6uGhoYu3agc+fn5CcdrmobRo0cnHePM2ZvzHj58GA0NDXG/9DdNE9/73vdQWVk54Dv1EQ1a/B5IRF7ArEobTxZeXXPNNe6dAkREAxWzioi8gnlFRF7ArCIiL2BWEZEXMKuIkvP7/SgsLER1dTWWLl3qPl5dXY0lS5YkfM7s2bPx0ksvxT22f/9+zJw5Ez6fzx1TXV2NtWvXxo2ZM2dOr89bUlKCr371q3HnWbhwIUpKSvB3f/d3n+BdDzzMKiLyCuYVEXmy8IrIK9i2nYi8gu1FicgLmFVE5AXMKiLyAq5ZEZFXZOraqry8HCUlJZg5cyZmz56NZ555BrW1tSgtLQUAVFRU4MKFC3j++ecBAKWlpXjqqadQXl6OlStXoqamBtu2bcPOnTvdOVevXo158+Zh48aNWLJkCV588UUcOHAAR44c6fV5R48e7XbQcvh8PuTn5+O6667rz0dDRCnA74FE5AXMqvRh4RVROlnSPlI1FxFRuqQqr5hVRJROzCoi8gJmFRF5AdesiMgrMnRtVVxcjIsXL2LDhg2oq6vD9OnTUVVVhYkTJwIA6urqUFtb646fNGkSqqqqsHbtWjz99NMYP348nnjiCdx1113umDlz5mDXrl14+OGHsW7dOkyZMgW7d+/GrFmzen1eIhqg+D2QiLyAWZU2LLwiIiIiIiIiIiIiIiIiilFWVoaysrKEP9uxY0eXx+bPn48TJ04knbOoqAhFRUX9Pm8iZ8+e7fVYIiIiIko9Fl4RpZOMHqmai4goXVKVV8wqIkonZhUReQGzioi8gGtWROQVvLYiIi9gVhGRFzCr0oaFV0RpJJC6PU5FaqYhIkooVXnFrCKidGJWEZEXMKuIyAu4ZkVEXsFrKyLyAmYVEXkBsyp9lEy/ACIiIiIiIiIiIiIiIiIiIiIiIq9hxyuidJLSPlI1FxFRuqQqr5hVRJROzCoi8gJmFRF5AdesiMgreG1FRF7ArCIiL2BWpQ07XhEREREREREREREREREREREREfURC6+I0kjI1B59tXnzZkyaNAnBYBCFhYU4fPhw0vGHDh1CYWEhgsEgJk+ejK1bt3YZs2fPHkybNg2BQADTpk3D3r17+3zee++9F0KIuONLX/pS398gEaVMJrOKiKi3mFVE5AXMKiLygkyvWRER9Razioi8gFlFRF7ArEofFl4RpZNM8dEHu3fvxpo1a/DQQw/h5MmTmDt3LhYtWoTa2tqE48+cOYPFixdj7ty5OHnyJB588EGsWrUKe/bsccfU1NSguLgYJSUleP3111FSUoJly5bh1Vdf7fN5b7/9dtTV1blHVVVV394gEaVWhrKKiKhPmFVE5AXMKiLyggyuWRER9Qmzioi8gFlFRF7ArEobFl4RDVKPP/44li9fjhUrVmDq1KmorKxEQUEBtmzZknD81q1bMWHCBFRWVmLq1KlYsWIF7rvvPmzatMkdU1lZidtuuw0VFRW4/vrrUVFRga985SuorKzs83kDgQDy8/PdY9SoUWn5HIiIiIiIiIiIiIiIiIiIiIjSgYVXRGkkpEzpAQBNTU1xRzgc7nLeSCSC48ePY8GCBXGPL1iwAEePHk34WmtqarqMX7hwIY4dOwZd15OOcebsy3kPHjyIMWPG4Nprr8XKlSvR0NDQ08dJRGmU6qwiIkoHZhUReQGzioi8IB1rVkRE6cCsIiIvYFYRkRcwq9KHhVdE6WSl+ABQUFCA3Nxc93jssce6nLaxsRGmaWLs2LFxj48dOxb19fUJX2p9fX3C8YZhoLGxMekYZ87ennfRokV44YUX8Nvf/hY/+clP8Ic//AFf/vKXExaREdGnJMVZ1VebN2/GpEmTEAwGUVhYiMOHDycdf+jQIRQWFiIYDGLy5MnYunVrlzF79uzBtGnTEAgEMG3aNOzdu7fP57333nshhIg7vvSlL/XvTRLRJ5fhrCIi6hVmFRF5QRrWrIiI0oJZRURewKwiIi9gVqUNC6+IPOb8+fO4cuWKe1RUVHQ7VggR93cpZZfHehrf+fHezNnTmOLiYnzta1/D9OnTcccdd+BXv/oV3nnnHbz88svdvjYiGrx2796NNWvW4KGHHsLJkycxd+5cLFq0CLW1tQnHnzlzBosXL8bcuXNx8uRJPPjgg1i1ahX27NnjjqmpqUFxcTFKSkrw+uuvo6SkBMuWLcOrr77a5/PefvvtqKurc4+qqqr0fBBERERERERERERERERE5Clapl8A0WCWylZ7zjw5OTnIyclJOjYvLw+qqnbpbtXQ0NClG5UjPz8/4XhN0zB69OikY5w5+3NeABg3bhwmTpyId999N+n7IqL0SVVe9WeOxx9/HMuXL8eKFSsAAJWVldi3bx+2bNmSsKvf1q1bMWHCBFRWVgIApk6dimPHjmHTpk2466673Dluu+02tzi1oqIChw4dQmVlJXbu3Nmn8wYCAeTn5/f5fRFR6mUyq4iIeotZRURekI41KyKidOC1FRF5AbOKiLyAWZU+7HhFNAj5/X4UFhaiuro67vHq6mrMmTMn4XNmz57dZfz+/fsxc+ZM+Hy+pGOcOftzXgC4ePEizp8/j3HjxvXuDRLRgNfU1BR3dLeVaCQSwfHjx7FgwYK4xxcsWICjR48mfE5NTU2X8QsXLsSxY8eg63rSMc6cfTnvwYMHMWbMGFx77bVYuXIlGhoaenj3RERERERERERERERERDQUsPCKKJ1kio8+KC8vx7PPPovt27fj1KlTWLt2LWpra1FaWgrA7v5yzz33uONLS0tx7tw5lJeX49SpU9i+fTu2bduG+++/3x2zevVq7N+/Hxs3bsTp06exceNGHDhwAGvWrOn1eVtaWnD//fejpqYGZ8+excGDB3HHHXcgLy8PS5cu7dubJKLUSXFWFRQUIDc31z0Sda4CgMbGRpim2aUr3tixY7t0z3PU19cnHG8YBhobG5OOcebs7XkXLVqEF154Ab/97W/xk5/8BH/4wx/w5S9/udtCMiJKswxdVxER9Qmzioi8IINrVkREfcKsIiIvYFYRkRcwq9KGWw0SpZOU9pGqufqguLgYFy9exIYNG1BXV4fp06ejqqoKEydOBADU1dWhtrbWHT9p0iRUVVVh7dq1ePrppzF+/Hg88cQT7rZdADBnzhzs2rULDz/8MNatW4cpU6Zg9+7dmDVrVq/Pq6oq3njjDTz//PO4fPkyxo0bh1tvvRW7d+/G8OHDP8knRESfRKryKjrH+fPn47ZFDQQCSZ8mhOg0jezyWE/jOz/emzl7GlNcXOz+efr06Zg5cyYmTpyIl19+GXfeeWeyt0RE6ZDirCIiSgtmFRF5QQbXrIiI+oTXVkTkBcwqIvICZlXasPCKaBArKytDWVlZwp/t2LGjy2Pz58/HiRMnks5ZVFSEoqKifp83KysL+/btS/p8IvK+nJycuMKr7uTl5UFV1S7drRoaGrp0o3Lk5+cnHK9pGkaPHp10jDNnf84LAOPGjcPEiRPx7rvv9vjeiIiIiIiIiIiIiIiIiGhw41aDRGkkZGoPIqJ0yVRW+f1+FBYWorq6Ou7x6upqzJkzJ+FzZs+e3WX8/v37MXPmTPh8vqRjnDn7c14AuHjxIs6fP49x48b17g0SUUrxuoqIvIBZRURewDUrIvIKZhUReQGzioi8gFmVPux4RZRObNtORF6Rwfai5eXlKCkpwcyZMzF79mw888wzqK2tRWlpKQCgoqICFy5cwPPPPw8AKC0txVNPPYXy8nKsXLkSNTU12LZtG3bu3OnOuXr1asybNw8bN27EkiVL8OKLL+LAgQM4cuRIr8/b0tKC9evX46677sK4ceNw9uxZPPjgg8jLy8PSpUs/yadERP3FVshE5AXMKiLyAq5ZEZFX8NqKiLyAWUVEXsCsShsWXhEREVFGFRcX4+LFi9iwYQPq6uowffp0VFVVYeLEiQCAuro61NbWuuMnTZqEqqoqrF27Fk8//TTGjx+PJ554AnfddZc7Zs6cOdi1axcefvhhrFu3DlOmTMHu3bsxa9asXp9XVVW88cYbeP7553H58mWMGzcOt956K3bv3o3hw4d/Sp8OEREREREREREREREREQ1ULLwiSiNh2Ueq5iIiSpdU5VV/5ygrK0NZWVnCn+3YsaPLY/Pnz8eJEyeSzllUVISioqJ+nzcrKwv79u1L+nwi+nRlOquIiHqDWUVEXsA1KyLyCl5bEZEXMKuIyAuYVenDwiuidGLbdiLyCrYXJSIvYFYRkRcwq4jIC7hmRURewWsrIvICZhUReQGzKm2UTL8AIiIiIiIiIiIiIiIiIiIiIiIir2HHK6J0ktEjVXMREaVLqvKKWUVE6cSsIiIvYFYRkRdwzYqIvILXVkTkBcwqIvICZlXasOMVERERERERERERERERERERERFRH7HjFVEaCSkhUrTHaarmISJKJFV5xawionRiVhGRFzCriMgLuGZFRF7Baysi8gJmFRF5AbMqfVh4RZROUtpHquYiIkqXVOUVs4qI0olZRURewKwiIi/gmhUReQWvrYjIC5hVROQFzKq04VaDREREREREREREREREREREREREfcSOV0TpJAFYKZyLiChdUpVXzCoiSidmFRF5AbOKiLyAa1ZE5BW8tiIiL2BWEZEXMKvShoVXRGmUqn1SnbmIiNKF+zoTkRcwq4jIC5hVROQFXLMiIq/gtRUReQGzioi8gFmVPtxqkIiIiIiIiIiIiIiIiIiIiIiIqI9YeEWUThKAlCk6Mv1miGhQS1leZfqNENGgxqwiIi9gVhGRF3DNioi8gtdWROQFGc6qzZs3Y9KkSQgGgygsLMThw4eTjj906BAKCwsRDAYxefJkbN26tcuYPXv2YNq0aQgEApg2bRr27t3bp/Pquo5//Md/xOc+9zkMGzYM48ePxz333IMPPvigf2+SiD45XlelDQuviIiIiIiIesHLi1i33HILhBBxx913393PT4KIiIiIiIiIiAaC3bt3Y82aNXjooYdw8uRJzJ07F4sWLUJtbW3C8WfOnMHixYsxd+5cnDx5Eg8++CBWrVqFPXv2uGNqampQXFyMkpISvP766ygpKcGyZcvw6quv9vq8bW1tOHHiBNatW4cTJ07g//7f/4t33nkHX//619P7gRARZQALr4jSKWV3DkYPIqJ0YVYRkRdkMKsGwyLWypUrUVdX5x4/+9nP+vw5EFEv8LqKiLyAa1ZE5BXMKiLyggxm1eOPP47ly5djxYoVmDp1KiorK1FQUIAtW7YkHL9161ZMmDABlZWVmDp1KlasWIH77rsPmzZtcsdUVlbitttuQ0VFBa6//npUVFTgK1/5CiorK3t93tzcXFRXV2PZsmW47rrr8KUvfQlPPvkkjh8/3u16GhGlGa+r0oaFV0TpZKX4ICJKF2YVEXlBBrNqMCxiZWdnIz8/3z1yc3P7/kEQUc94XUVEXsA1KyLyCmYVEXlBirOqqakp7giHwwlPG4lEcPz4cSxYsCDu8QULFuDo0aMJn1NTU9Nl/MKFC3Hs2DHoup50jDNnf84LAFeuXIEQAiNGjOh2DBGlEa+r0oaFV0RERERENCQNtUWsF154AXl5ebjhhhtw//33o7m5uds5iMi7uC0qEXmBl7OKiIiIKN0KCgqQm5vrHo899ljCcY2NjTBNE2PHjo17fOzYsaivr0/4nPr6+oTjDcNAY2Nj0jHOnP05bygUwg9+8AN861vfQk5OTjfvnIgGs8H8PZCFV0RpJKRM6UFElC7MKiLyglRn1VBaxPr2t7+NnTt34uDBg1i3bh327NmDO++8M+EcRPTJZPK6ituiElFvZXLNajBkFRF9erhmRURekOqsOn/+PK5cueIeFRUVyc8vRNzfpZRdHutpfOfHezNnb8+r6zruvvtuWJaFzZs3J3knRJROXLNK3/dArc+fCBH1nkzhHqf8YkhE6ZSqvGJWEVE6pTirzp8/H1ecFAgEkj7Ny4tYK1eudP88ffp0fPazn8XMmTNx4sQJfPGLX+z2PRBRP2Twuip2e1LA3tJ037592LJlS8Li0thtUQFg6tSpOHbsGDZt2oS77rrLncPZFhUAKioqcOjQIVRWVmLnzp29Oq+zLWqsJ598En/5l3+J2tpaTJgwwX3c2RaViNIsg2tWgyGriOhTxDUrIvKCFGdVTk5Or7pC5eXlQVXVLjfoNTQ0dLmRz5Gfn59wvKZpGD16dNIxzpx9Oa+u61i2bBnOnDmD3/72t+x2RZRJXLNK2/dAdrwiIiIiIqIhyVnEco7uCq+8tohVXV3d4yLWF7/4Rfh8Prz77rtJxxFR5nFbVG6LSjSYDJasIiIiIhoI/H4/CgsLuxQNVFdXY86cOQmfM3v27C7j9+/fj5kzZ8Ln8yUd48zZ2/M661XvvvsuDhw44K6JEdHgMNTWrJLxVOHVyy+/jFmzZiErKwt5eXncGoMGPqdqNFUHeQKzijyJWTUkMa/IczKUVYNxEevNN9+ErusYN25cj2MzjVlFnpPirOK2qN74N8+sIs9Jw5pVbxbdB0NWeRmzijwpg2tWmzdvxqRJkxAMBlFYWIjDhw8nHX/o0CEUFhYiGAxi8uTJ2Lp1a5cxe/bswbRp0xAIBDBt2jTs3bu3T+fVdR3/+I//iM997nMYNmwYxo8fj3vuuQcffPBBn9/fQMWsIk/KYFaVl5fj2Wefxfbt23Hq1CmsXbsWtbW1KC0tBWB3gLnnnnvc8aWlpTh37hzKy8tx6tQpbN++Hdu2bcP999/vjlm9ejX279+PjRs34vTp09i4cSMOHDiANWvW9Pq8hmGgqKgIx44dwwsvvADTNFFfX4/6+npEIpF+ftADC/OKPIdrVj2et7/fAz2z1eCePXuwcuVK/PM//zO+/OUvQ0qJN954I9Mvi4goDrOKiLyCeUXUN+Xl5SgpKcHMmTMxe/ZsPPPMM10WsS5cuIDnn38egL2I9dRTT6G8vBwrV65ETU0Ntm3b5rY4BuxFrHnz5mHjxo1YsmQJXnzxRRw4cABHjhzp9XmdRawTJ07gP//zP91FLAAYNWoU/H4/3nvvPbzwwgtYvHgx8vLy8NZbb+F73/sebrzxRtx0002f1kfYL8wqIm6L6oVtUZlVRLaCgoK4vz/yyCNYv359wrFeziqvYlYR9c3u3buxZs0abN68GTfddBN+9rOfYdGiRXjrrbcSbjlz5swZLF68GCtXrsQvfvEL/P73v0dZWRmuvvpqdzucmpoaFBcX49FHH8XSpUuxd+9eLFu2DEeOHMGsWbN6dd62tjacOHEC69atwxe+8AVcunQJa9aswde//nUcO3bsU/2M0oFZRdR3xcXFuHjxIjZs2IC6ujpMnz4dVVVVmDhxIgCgrq4OtbW17vhJkyahqqoKa9euxdNPP43x48fjiSeecLMKAObMmYNdu3bh4Ycfxrp16zBlyhTs3r3bzarenPf999/Hf/zHfwAAZsyYEfeaf/e73+GWW25J0yfy6WBeEQ2tNaueeKLwyjAMrF69Gj/+8Y+xfPly9/Hrrrsug6+KqBf6WZ3e7Vw0oDGryNNSlVfMKk9gXpFnZTCrvLyI5ff78Zvf/AY//elP0dLSgoKCAnzta1/DI488AlVV+/xZfFqYVeRZKc4qZzvUnnhtW9Tf/va3fdoWdaAWXjGryLPSsGbVm0X3wZhVXsCsIk/L0PfAxx9/HMuXL8eKFSsAAJWVldi3bx+2bNmSsJvD1q1bMWHCBFRWVgIApk6dimPHjmHTpk3u98DKykrcdtttqKioAGDfwHPo0CFUVla6N+n0dN7c3NwuXZGffPJJ/OVf/iVqa2sTFoV5BbOKPC3D6+tlZWUoKytL+LMdO3Z0eWz+/Pk4ceJE0jmLiopQVFTU7/Nec801bpHEYMO8Is/imlW35/2k3wM9sdXgiRMncOHCBSiKghtvvBHjxo3DokWL8OabbyZ9Xjgc7tLimuhTZaX4oAGNWUWexqwaUvqTV8wqGhAynFVlZWU4e/YswuEwjh8/jnnz5rk/27FjBw4ePBg33lnECofDOHPmjNulKlZRURFOnz6NSCSCU6dOJWxJnuy8ziJWosO5c7CgoACHDh3CxYsXEQ6H8ac//Qk//elPMWrUqP59EJ8SZhV5VoayituiZga/B5JnpWHNyll0d45EhVeDMau8gFlFnpbirOrNtqiRSATHjx/HggUL4h5fsGABjh49mvBl1tTUdBm/cOFCHDt2DLquJx3jzNmf8wLAlStXIITAiBEjuh3jBcwq8jSurw8pXLMiz+KaVcLzpuJ7oCcKr/77v/8bALB+/Xo8/PDD+M///E+MHDkS8+fPx8cff9zt85zqf+fo3O6aiCiVmFVE5BX9yStmFRF92phVRH1XXl6OZ599Ftu3b8epU6ewdu3aLtui3nPPPe740tJSnDt3DuXl5Th16hS2b9+Obdu24f7773fHrF69Gvv378fGjRtx+vRpbNy4EQcOHMCaNWt6fV5nW9Rjx47hhRdecLdFra+vRyQSAQC899572LBhA44dO4azZ8+iqqoK3/zmNwf8tqj8HkjUd17OKq9iVhF1KCgoiPvfdaLuVY2NjTBNs0snhLFjx3bpmOCor69PON4wDDQ2NiYd48zZn/OGQiH84Ac/wLe+9S3Pd+hjVhGRV3DNiqjvBvv3wIwWXq1fvx5CiKTHsWPHYFl2ydxDDz2Eu+66C4WFhXjuuecghMC///u/dzt/RUUFrly54h7nz5//tN4aEQBASJnSgzKDWUVDAbNqcEhnXjGraCBgVg0OzCoa7DKZVcXFxaisrMSGDRswY8YMvPLKK73aFvXgwYOYMWMGHn300W63RX3uuefw+c9/Hjt27Ei4LWqy8zrbor7//vuYMWMGxo0b5x5O9wZnW9SFCxfiuuuuw6pVq7BgwQIcOHAgI9ui8nsgDXaZXLPyclYNNMwqGgpSnVXnz5+P+9+1s+1fwnMLEfd3KWWXx3oa3/nx3szZ2/Pquo67774blmVh8+bN3b6uTGNW0VDANavBgWtWNNhxzSp93wO1Pn8iKfTd734Xd999d9Ix11xzDZqbmwEA06ZNcx8PBAKYPHly3IffWSAQSNjSmuhTI1O0T6ozF2UEs4qGhFTlFbMqo9KZV8wqGhCYVYMCs4oGvQxnVVlZGcrKyhL+bMeOHV0ec7ZFTaaoqAhFRUX9Pq+zLWoyzraoAwW/B9Kgl+E1K69m1UDDrKIhIcXXVs52qMnk5eVBVdUuXaYaGhq6dKNy5OfnJxyvaZq7XU13Y5w5+3JeZ0ucM2fO4Le//e2A7nbFrKIhgWtWgwLXrGjQ45pVF6n6HpjRwqu8vDzk5eX1OK6wsBCBQABvv/02br75ZgD2ReXZs2fdSjQionRhVhGRVzCviMgLmFVE5AXMKiLyAmYVUXr4/X4UFhaiuroaS5cudR+vrq7GkiVLEj5n9uzZeOmll+Ie279/P2bOnAmfz+eOqa6uxtq1a+PGzJkzp0/ndYqu3n33Xfzud79zC7sGKmYVEXkF84qI+iujhVe9lZOTg9LSUjzyyCMoKCjAxIkT8eMf/xgA8M1vfjPDr44oCUsCIkXV6Rar3Ac6ZhV5WqryilnlCcwr8ixm1ZDCrCLPYlYNKcwq8iyuWQ0pzCrytAxdW5WXl6OkpAQzZ87E7Nmz8cwzz6C2thalpaUA7C2jLly4gOeffx4AUFpaiqeeegrl5eVYuXIlampqsG3bNuzcudOdc/Xq1Zg3bx42btyIJUuW4MUXX8SBAwdw5MiRXp/XMAwUFRXhxIkT+M///E+Ypul2yBo1ahT8fv8n+pgyiVlFnsbvgUMK84o8i1mVNp4ovAKAH//4x9A0DSUlJWhvb8esWbPw29/+FiNHjsz0SyPqHrcaHHKYVeRZbIU85DCvyJOYVUMOs4o8iVk15DCryJO4ZjXkMKvIszJ0bVVcXIyLFy9iw4YNqKurw/Tp01FVVeV2Mqmrq4vbTmrSpEmoqqrC2rVr8fTTT2P8+PF44okncNddd7lj5syZg127duHhhx/GunXrMGXKFOzevRuzZs3q9Xnff/99/Md//AcAYMaMGXGv+Xe/+x1uueWWPr3PgYZZRZ7F74FDDvOKPIlZlTaeKbzy+XzYtGkTNm3alOmXQkTULWYVEXkF84qIvIBZRURewKwiIi9gVhH1XVlZGcrKyhL+bMeOHV0emz9/Pk6cOJF0zqKiIhQVFfX7vNdccw3kIP5lJ7OKiLyCeUVEsTxTeEXkTSm8exCD98sUEQ0EqcorZhURpROzioi8gFlFRF7ANSsi8gpeWxGRFzCriMgLmFXpomT6BRAREREREREREREREREREREREXkNO14RpVOq9kl15iIiShfu60xEXsCsIiIvYFYRkRdwzYqIvILXVkTkBcwqIvICZlXasPCKKJ0siZS12rMYYESURqnKK2YVEaUTs4qIvIBZRURewDUrIvIKXlsRkRcwq4jIC5hVacOtBomIiIiIiIiIiIiIiIiIiIiIiPqIHa+I0kla9pGquYiI0iVVecWsIqJ0YlYRkRcwq4jIC7hmRURewWsrIvICZhUReQGzKm1YeEWUTqnaJ9WZi4goXbivMxF5AbOKiLyAWUVEXsA1KyLyCl5bEZEXMKuIyAuYVWnDrQaJiIiIiIiIiIiIiIiIiIiIiIj6iB2viNLJkgBSVPFpsXKUiNIoVXnFrCKidGJWEZEXMKuIyAu4ZkVEXsFrKyLyAmYVEXkBsypt2PGKiIiIiIiIiIiIiIiIiIiIiIioj9jxiiidUrVPqjMXEVG6cF9nIvICZhUReQGzioi8gGtWROQVvLYiIi9gVhGRFzCr0oaFV0TpJJHCRazUTENElFCq8opZRUTpxKwiIi9gVhGRF3DNioi8gtdWROQFzCoi8gJmVdpwq0EiIiIiIiIiIiIiIiIiIiIiIqI+YscronRi23Yi8gq2FyUiL2BWEZEXMKuIyAu4ZkVEXsFrKyLyAmYVEXkBsyptWHhFlE6WBcBK4VxERGmSqrxiVhFROjGriMgLmFVE5AVcsyIir+C1FRF5AbOKiLyAWZU23GqQiIiIiIiIiIiIiIiIiIiIiIioj9jxiiid2LadiLyC7UWJyAuYVUTkBcwqIvICrlkRkVfw2oqIvIBZRURewKxKG3a8IiIiIiIiIiIiIiIiIiIiIiIi6iN2vCJKJ949SERewSp3IvICZhUReQGzioi8gGtWROQVvLYiIi9gVhGRFzCr0oaFV0TpZEkAKQoeiwFGRGmUqrxiVhFROv3/7d1/bFX1/cfx1wVub0GhEwhcKg7qjFZSdbX4W7DoRMfchOQraBB1IUYU2dCYBX/EGmOk23T+IVrEGOMfmm6TdXOZLrAIVfEXFn8goBsCgsUGMFqq39lLue/vH3wpXlvae9tzes7nnOcjudk4PZzz+VTvc+eefHYurQLgAloFwAXcswLgCq6tALiAVgFwAa3yDV81CAAAAAAAAAAAAAAAAAAF4olXgI/MsjLLenYsAPCLV72iVQD8RKsAuIBWAXAB96wAuIJrKwAuoFUAXECr/BOrhVf2/9812aEDnj1JG/HToQOSjvz71CMz7x61x3elxgatghcKatWhHb3pFa2KDVoFrwRybUWrYoNWwSu0Cn6jV/AC96zgN1oFL3DPCn6jVfAKnwPhJ1oFr9CqcIjVwqu2tjZJ0mt6MeCRIAra2tpUUlIS9DAQQbQKXqJV8AutgtfoFfxAq+A1WgW/0Ct4iVbBL7QKXqJV8AutgtfoFfxAq+A1WhWsWC28Ki0t1a5duzR8+HAlEglPjrl//36dcMIJ2rVrl0aMGOHJMYPEfHpnZmpra1NpaWk+O8uzZcqsHI0NP1olRev9HaW5SCFo1aG/IE96Ratig1b1LkpzkfybTyDXVrQqNmhVfqI0H1oFV3HPqnfMp3fcs4LfuLbqXZTmIoWgVYf+gri2QiFoVe+iNBeJz4FwE63KT5TmQ6uiLVYLrwYNGqTx48f7cuwRI0Y4/2b/LubTs7xXi2azUsKj7zjlu1Jjw89WSdF6f0dpLlKArZK86xWtig1alb8ozUXyZz4Dfm1Fq2KDVhUmSvOhVXAN96zyx3x6xj0r+Ilrq/xFaS4S96zgFlqVvyjNReJzINxCqwoTpfnQqmgaFPQAAAAAAAAAAAAAAAAAAMA1sXriFTDgeGw7AFfweFEALqBVAFxAqwC4gHtWAFzBtRUAF9AqAC6gVb7hiVf9lEqlVFNTo1QqFfRQPMF8gOiK0vshSnORojcfoD+i9H6I0lyk6M0H6I+ovR+iNJ8ozQXor6i9H5gPEF1Rej9EaS5S9OYD9EeU3g9RmosUvfkA/RG190OU5hOluaCrhBnL0QCv7d+/XyUlJbp42NUakijy5JgdltHL/1uv1tbWyHyHLYDged0rWgXAD7QKgAtoFQAXcM8KgCu4tgLgAloFwAW0yn981SDgJx7bDsAVPF4UgAtoFQAX0CoALuCeFQBXcG0FwAW0CoALaJVv+KpBAAAAAAAAAAAAAAAAACgQT7wC/JQ1KcH/exCAA7zqFa0C4CdaBcAFtAqAC7hnBcAVXFsBcAGtAuACWuUbFl4BfjKTlPXwWADgE696RasA+IlWAXABrQLgAu5ZAXAF11YAXECrALiAVvmGrxr00I4dOzR//nyVlZVp6NCh+tGPfqSamhplMpmgh5aXxx9/XGVlZSouLlZVVZVeffXVoIfUJ0uXLtVZZ52l4cOHa8yYMZo5c6Y+/vjjoIcFhIbrrZKi0StaBfSMVoUHvQKOjlaFB60CeuZ6r2gVEA+ut0qKRq9oFdAzWhUe9Ao4OloVHrQqHlh45aGPPvpI2WxWTzzxhDZt2qRHHnlEy5cv11133RX00Hr1xz/+UYsXL9bdd9+td999V1OmTNFPf/pT7dy5M+ihFayxsVELFy7Um2++qdWrV6ujo0PTp0/XN998M+Bjsax5+gK84HKrpOj0KkytkrztFeAFWhUeYeoVrULY0KrwoFVAz1zuFa3yB/esEEYut0qKTq/C1CqJayuED60KjzD1ilYhbGhVeNCqeEiY8RwwP/3+979XXV2dtm3bFvRQenTOOefozDPPVF1dXee2U089VTNnztTSpUsDHFn/7d27V2PGjFFjY6OmTp06IOfcv3+/SkpKNG3I/2hIIunJMTvsgNZ0PK/W1laNGDHCk2MCh7nSKim6vQqiVZL3vaJV8BOtCocoXFvRKviJVoUDrQJ650qvaJW3uGcF17jSKim6veKeFdA7WhUOUbi2olXwE60KB1oVTTzxymetra0aOXJk0MPoUSaTUVNTk6ZPn56zffr06Xr99dcDGpV3WltbJSmYfw6W9fZVoEIfwdjY2KiqqioVFxfrxBNP1PLly7vss3LlSk2aNEmpVEqTJk1SQ0NDwec1M913330qLS3V0KFDVV1drU2bNhU8P3jHhVZ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gFl4BAAAAAAAAAAAAAAAAQIFYeAUAAAAAAAAAAAAAAAAABWLhFQAAAAAAAAAAAAAAAAAUiIVXAAAAAAAAAAAAAAAAAFCg/wPz85dGawQNIQAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 2400x500 with 16 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_states = 8\n",
"\n",
"# Create a 1xn_states grid of subplots (1 row, n_states columns)\n",
"fig, axes = plt.subplots(1, n_states, figsize=(18/6*n_states, 5)) # Adjust the size as needed\n",
"\n",
"# Loop over the state numbers from 0 to 5\n",
"for state_number, ax in zip(range(n_states), axes):\n",
" # Slice through the y-direction and rotate the x-z plane (by swapping x and z)\n",
" im = ax.imshow(np.abs(states[state_number, :, int(len(y)/2), :].T)**2, extent=[*extend[0], *extend[2]], origin=\"lower\",\n",
" vmin=np.min(np.abs(states[state_number])**2), vmax=np.max(np.abs(states[state_number])**2))\n",
"\n",
" # Set labels for each subplot\n",
" ax.set_xlabel(\"x\")\n",
" ax.set_ylabel(\"z\")\n",
" ax.set_title(f\"State {state_number}\")\n",
" fig.colorbar(im, ax=ax) \n",
"\n",
"# Adjust layout for better spacing\n",
"plt.tight_layout()\n",
"\n",
"# Show the plots\n",
"plt.show()\n"
]
}
],
"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
}