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@jcmgray
Last active October 5, 2018 14:33
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"from numpy.random import rand\n",
"import opt_einsum as oe\n",
"import random\n",
"import xyzpy as xyz\n",
"import re\n",
"from collections import namedtuple\n",
"import sys\n",
"\n",
"Shaped = namedtuple('Shaped', ['shape'])"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [],
"source": [
"def get_path_costs(eq, *shapes, path='greedy'):\n",
" \n",
" views = list(map(Shaped, shapes))\n",
" path = oe.contract_path(eq, *views, optimize=path, memory_limit=sys.float_info.max)[1]\n",
" \n",
" opt_scaling = max(path.scale_list)\n",
" if opt_scaling > sys.float_info.max:\n",
" os = np.nan\n",
" else:\n",
" os = float(opt_scaling)\n",
" \n",
" if path.opt_cost > sys.float_info.max:\n",
" of = np.nan\n",
" else:\n",
" of = float(path.opt_cost)\n",
" \n",
" if path.largest_intermediate > sys.float_info.max:\n",
" lt = np.nan\n",
" else:\n",
" lt = float(path.largest_intermediate)\n",
" \n",
" return os, of, lt\n",
"\n",
"def time_path(n, reg, n_outer, path, get='mean', seed=None):\n",
" \n",
" def setup():\n",
" eq, shapes = oe.helpers.rand_equation(n, reg, n_outer, seed=seed)\n",
" return (eq, *shapes)\n",
" \n",
" def kernel(arg):\n",
" eq, shapes = arg[0], arg[1:]\n",
" return oe.contract_expression(eq, *shapes, optimize=path)\n",
" \n",
" t = xyz.benchmark(kernel, setup, get=get, min_t=0.1)\n",
" os, of, lt = get_path_costs(*setup(), path=path)\n",
" \n",
" return t, os, of, lt"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [],
"source": [
"r = xyz.Runner(\n",
" time_path, \n",
" var_names=['t', 'opt_scaling', 'opt_flops', 'max_size'],\n",
")\n",
"h = xyz.Harvester(r, \"opt_einsum_timings.h5\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"combos = {\n",
" 'n': [2, 3, 4, 5, 6, 7],\n",
" 'reg': [2, 3, 4, 5],\n",
" 'n_outer': [0, 2, 4],\n",
" 'path': ['greedy', 'eager', 'optimal'],\n",
" 'seed': [0, 1],\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"{'n': 7, 'reg': 5, 'n_outer': 4, 'path': 'optimal', 'seed': 1}: 100%|##########| 432/432 [07:22<00:00, 1.03s/it]\n"
]
}
],
"source": [
"h.harvest_combos(combos, overwrite=True, verbosity=2)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [],
"source": [
"combos = {\n",
" 'n': [8, 9, 10, 20, 50, 100, 200, 500, 1000],\n",
" 'reg': [2, 3, 4, 5],\n",
" 'n_outer': [0, 2, 4],\n",
" 'path': ['greedy', 'eager'],\n",
" 'seed': [0, 1],\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"{'n': 1000, 'reg': 5, 'n_outer': 4, 'path': 'eager', 'seed': 1}: 100%|##########| 432/432 [19:47<00:00, 2.75s/it] \n"
]
}
],
"source": [
"h.harvest_combos(combos, overwrite=True, verbosity=2)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 700x600 with 1 Axes>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p1 = h.full_ds.mean(['reg', 'n_outer', 'seed']).xyz.lineplot(\n",
" 'n', 't', 'path', ylog=True, xlog=True, markers=False, line_widths=[2, 2]\n",
")\n",
"\n",
"h.full_ds.xyz.scatter(\n",
" 'n', 't', 'path', ylog=True, xlog=True, markersize=40, marker_alpha=0.5, add_to_axes=p1,\n",
" ytitle='time',\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Relative Max Size (to greedy)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x600 with 1 Axes>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(h.full_ds / h.full_ds.sel(path='greedy')).xyz.scatter(\n",
" 'n', 'max_size', 'path', \n",
" ylog=True, xlog=True, \n",
" markersize=40, marker_alpha=0.5,\n",
" hlines=[1],\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Relative Flop Cost (to greedy)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 700x600 with 1 Axes>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"(h.full_ds / h.full_ds.sel(path='greedy')).xyz.scatter(\n",
" 'n', 'opt_scaling', 'path', ylog=True, xlog=True, markersize=40, marker_alpha=0.5,\n",
" hlines=[1],\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 'Real life' test:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"import quimb.tensor as qtn"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"mera = qtn.MERA.rand_invar(128, dangle=True)\n",
"norm = mera.H & mera"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"norm.graph()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"24"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"norm.contraction_complexity(optimize='greedy')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"26"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"norm.contraction_complexity(optimize='eager')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Time to find the path:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"723 ms ± 11.2 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
],
"source": [
"%%timeit\n",
"greedy_path = norm.contract(all, get='path', optimize='greedy')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"68.9 ms ± 3.32 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
]
}
],
"source": [
"%%timeit\n",
"cheap_path = norm.contract(all, get='path', optimize='eager')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Compute the relative flop cost:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3.860642288294236"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"greedy_path = norm.contract(all, get='path', optimize='greedy')\n",
"cheap_path = norm.contract(all, get='path', optimize='eager')\n",
"\n",
"cheap_path.opt_cost / greedy_path.opt_cost"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Check the actual time to perform contractions, these are path-cached so will ignore any differences from path-finding time:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"575 ms ± 17.3 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
],
"source": [
"%%timeit\n",
"norm.contract(all, optimize='greedy')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.02 s ± 123 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
],
"source": [
"%%timeit\n",
"norm.contract(all, optimize='eager')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Test with OBC MPS"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [],
"source": [
"%load_ext snakeviz"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"psi = qtn.MPS_rand_state(1000, 64)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"norm = psi.H & psi"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dunTBZrORlZXF008/XWkkeOjQIeLi4tTEptFoqKioQK/XqwUyv2++7ljzu3Y90Gq1cuXKFS5evEhycjInTpxg8uTJ+Pn5qV83c+ZMGjRooK57OsOMGTP4+uuvGT16tPqYI77k5GQWLVrExx9/zOOPP17peLP/paSkhKSkJDZv3kxiYiJHjhxh5cqVDBs2DKvVCkD9+vVJT0/H29ubli1bsnnzZkJDQ5k4cSIRERF06tQJDw+Pm/6cBeHPiOlZ4a5QUFDAjz/+yKpVqygrK2PLli14eXkRHByM0WikT58+NG7cmPfeew+4mhjy8/PVkZMkSWi1WsLDw5FlGavVilarxW63A5CYmEiHDh2w2+14eHhw4cIFwsLC1JHZ9u3bcXFxobS0lJSUFFxcXGjQoAE6nY6HH35Y3aN5baL19/dnyJAhzrlg/58kSZWOLnM89ssvv7Bx40aGDRvGk08+iU6nu6HvtXbtWioqKnj88cfVNxtt27YlNjaW3Nxc3nvvPebPn8/gwYMJCAhg3bp19OzZk/Lycvbu3atewwceeABPT0+eeOIJnnvuOWrWrHlLr4MgOIiRpnBHS01N5fPPP+fgwYNs3boVo9HIs88+y8mTJ2nbti0mk4mioiK0Wi0BAQHXHajs4EhkjhFiYGCgOuVqt9vJzMwkKioKvV6PVqvl3LlzGI1G9Ho9paWlpKam0rlzZ/V76fV6tcXc739OUVERa9asISEhgRo1alTRlfpjq1ev5uLFi5WKlQ4fPsyCBQt48sknWbBgwf9cw9y2bRs//PADa9eu5ezZs7Rs2ZLWrVuzefNmunfvTr169TAYDOpI/eTJk9SpUwe9Xo/FYsHV1RW73c7+/fuJi4tDq9WyefNmdQQ+ffp0zGYzr7/++t+eHhaEGyWSpnBH+u2335gyZQrffvster2eyZMnc+rUKSRJIj4+HkVR0Gq16HQ6ZFlGlmV1tORIkI4kqdVq0ev16uOSJGGz2XB1dVUfKy8vx2g0ql8ny7K6Buj4mmunbx3/7vh5gPrYggULiImJYfHixZhMJqddw2XLlrF8+XIGDBhw3Vrs0qVLycjIoH///jz00EN07dq1UvIsLCxkyZIlpKSkcObMGXbv3k1UVBT9+/cnMjISFxcXbDYbdrsdd3d37Ha7ev0rKirU0e211yk/P189USUtLY2ioiJiY2M5evQoS5cupVWrVuzZs0f0uxVuKZE0hTvKmTNnePPNN1m9ejW+vr7k5+fTvn17+vTpA0BOTg7BwcHqjVij0VBWVqaujUmShCRJnD9/nsjISC5cuMCvv/5KfHw8hYWFBAYGsnbtWsLCwmjYsCGSJOHt7c3q1atp3bo1fn5+6shIp9Oh0+mw2+2UlZVhMpnQ6/VIksSFCxfw8vLCaDSSlJSEi4sLsixz/vx5li9fTkBAgJo4nOX48ePs3LkTrVZb6Q0AoLbLmzJlCjabjWnTppGVlUX//v2ZOnUqBw8exGg04unpyauvvkpOTg5+fn54eXlVeuPgePOiKAo2mw2j0agmSrvdjizLldaPHVt+fvrpJ0aMGKFetw0bNtCiRQuuXLnCiy++KKZrhVtGJE3hjlBUVMTbb7/NqVOnWLNmDfXq1eP5559HURT27dtHq1at0Ol0ZGVlERERUWnUd+XKFWrUqIFGo2Hr1q0ArF27FpPJRElJCQDR0dGcPHmS3r17s379egA1Kffr10+dKtRoNIwcOZKvvvqKQYMGcerUKZo2bcqyZcto2bIlWVlZjBkzhtdffx2TycQ777zDq6++Ss+ePfnPf/6Dq6sr9erVc85F/J29e/fStm1bRo0aRYsWLSolTcfI02q1cu7cOTIyMli9ejVubm7Ur1+f7OxsHn/8cWrWrIlWq0WWZcxmMyaTCY1Gg81mU6uJHX8vKyujRo0a7Nixg8jISA4dOkRoaCgNGjTAZDKh1WqpqKjAbrdjMpnU9WTH1HFFRQXjxo0jLi6OXbt24ebm5szLJ9yhRNIUqr3CwkJiYmK4dOkS8fHxDB06FLPZrBbXnDlzBhcXF4KCgtQqVsdWkIqKChYvXkx6ejpxcXEcOHCA2NhYwsLCiIqKonbt2oSEhKDX63Fzc8NkMqlTsYWFhVitVsLCwsjNzaWwsJDS0lI8PDzYtGkTISEhJCUl0bVrV/bv34+Pjw8Gg4EXXniBffv2UbduXdq2bYu7u7vT2+T9EbvdTuvWrenVqxc1a9ZUE+W1U6bXJk/HKN6RCCVJUqewZVlWR5KOEaNjpHnmzBl+/vln0tPTiY2NVQulHFW0AHXr1iU6OhpZlunduzdGo5GSkhKOHDlC69atMRgMWK1Wxo4di6IoPProoyxbtsxZl064g4mkKVRry5cvp7S0lBMnTpCRkUG7du3w8fGhoqICAL1eX+kmL8syu3btwmKxsGfPHqxWK2VlZXTs2JH777+fXr16ERMTIzbo/3+bN29mxIgRTJkypVJ1b1FRESaTSW14cK3fn9QCqAVWjjXkiooKtm7dSt26dZk1axbu7u50796d2NhYmjRpgq+vL97e3mRkZJCamspnn33G+fPn8fHxYcqUKWoyliSJffv2UaNGDc6dO0fr1q3Vdn7t27fn8ccfr/JrJtzZRNIUqq29e/dy7733EhYWxosvvgiA2WxWKygdHXuaNm2KoiicO3eOvLw8li5dit1up3v37jz88MP07t2boKAgZz6V21Z+fj7Hjh1jwoQJjBo1qlKP3D+7dWg0Gux2u1pA5VizdHFxYdeuXRw7doyjR48yaNAgevfuzSOPPPKna7h2u52FCxfy2muvUVZWxogRI4iLi0OWZVJSUkhMTGTChAm4urpis9mYPn06hYWFHD9+nFq1at306yLcvUTSFKqlrKwsRo4cydGjR+nWrRvx8fHo9Xqys7NZv349I0aMAK42Py8vL0eSJBYvXozNZmPQoEFMmjSJxo0bO/lZVA8pKSmMGDGCZs2aqU3bf584FUWhrKwMs9lMaWkpJpOJnTt30r17d4qLizEYDMyZM4fQ0FB1mvWll16iffv2f2lUn5GRQa9evZBlmfj4eGJiYtRtOfn5+fj5+WEwGMjLy6O4uJhRo0ZRt27dm39RhLuWSJpCtWOz2WjevDmpqanMnj1b3apw5MgRLl26RPv27dWTQS5fvsykSZMAiI+PZ8GCBTRq1MiZ4VdLZ8+eJSkpiS+++IKsrCxGjBiBVqslNzeXqKgodu7cyapVq5BlmZiYGAoLC8nJyaFv375s3LiRUaNGceTIEXr16sXLL7/8jyqDT548yX333cfp06d56623CAgIwGazsXbtWuLj4wkJCUGWZbZv38769eu5fPmy0yuRhTuHSJpCtbNhwwZycnJIS0ujTp066lTgwoUL1e40siyTlZXF7t27SUpK4q233uKVV15R1zaFv2fx4sUUFRXx7bff4u3tzebNm8nMzKRnz57079+fAQMGEBkZyenTp7FYLPj7++Pm5kZ4ePhNTVzp6ek0b96c0NBQxo0bpzaZ2Lx5Mz179kSr1bJ69WoSExNJSEigR48eN+1nC3c3kTSFaiU3N5eIiAjuvfde+vXrh06no7y8nMzMTOrWratumpckiZdeegmTycSSJUvo37+/s0O/ozg6IxUWFlK/fv1KU7ZVZfLkybz11lvMnj0bd3d3rFYrc+bMYezYsbi6uiJJEgADBw4kMDCwSmMT7lzibbdQrVy+fJkWLVrQvn17tFotNpuNXbt2qSMZu93Ovn37mDFjBq1bt2bXrl0iYd4CLi4u6h7Ka4uDqtKIESPQaDQsX75crZDu06cPRqNRrdxNTExk//79VR6bcOcSSVOoVrZu3Ur37t3V00CsVit5eXm4u7ur+wV/+OEHZFlm2bJlYv3yDla3bl3c3NwoKipCkiT0ej21a9fGZrOpSdwxbSsIN4tImkK18tVXX/HNN9+ordcuXbqEn5+f2m80PT0di8XCihUriIqKcnK0wq2UlJSE2Wymfv366uuhpKRE7Ry0cuVK8vLy6N27t7NDFe4gImkK1cozzzzD0KFDK3X2caypybJMZmYmGo2G9u3bOztU4RayWCw899xz6PV6oqOj1Q5Pvr6+akOLrVu34u7uLk4+EW4qkTSFamX58uV89tlnatcZT09PMjMz1cbfUVFRBAUFkZmZ6exQhVvojTfewG6388477xAVFYXNZqO4uBidTqc23G/atCnPPfecs0MV7jAiaQrVypNPPskzzzyjFnp4enqSnZ2N3W5Ho9EQHR3NxYsXWbhwobNDFW6RDRs28Omnn+Lv74+npycGgwGDwYCPj4/6Zuqrr76ivLycbt26OTtc4Q4jkqZQrfj6+jJp0iSysrLUxBkVFaUWfphMJpo2bcqXX36JxWJxcrTCzbZ48WIef/xx/P39GTx4sJokS0pKsNvtWK1W7HY7EyZMYPLkyaKHsHDTiaQpVCvt2rWjS5cu2O12NWnGxcWRk5OjTtEOGzaMixcv8vjjj/9pf1ShennllVcYNWoUAQEBTJgwQU2YjoOsDQYDubm5vPrqq3z77bcMGzbM2SELdyCRNIVqxdXVldatWzNr1iy1GEiv1+Pi4oIkSWg0GmrUqMGTTz7Jb7/9xrRp05wdsvAPFRUV0b9/f1xcXOjUqROjR49WT1e59vQUu91OUVER5eXlTJ8+XYwyhVtCJE2h2hk7dizvvPMO69atU0ebAQEBXLlyRb2JxsbG4ubmxhtvvMHy5cudHLHwd2VkZNCjRw+2bduGTqdj8ODB6uHVkiSp+zMVRSEtLY0PP/yQmTNnirVM4ZYRSVOodoKDg3F3d+fChQucP38euHoUVWBgIOXl5ernDRw4kMcee4zp06ezadMmZ4Ur/E2bN2+mffv2nD17ltdee42QkBAMBgN2u53c3Fy0Wi0uLi4oisKVK1dwdXWlQ4cOPPvss84OXbiDid6zQrUkyzI9e/bk3Llz6n49x3Td6dOniYqKUje8r1y5kjNnzrBlyxYiIiKcHbpwAwoKCoiKiqJPnz7Ex8er07GKonD69Glq1qypjjBtNhsvv/wyQUFBpKen4+rq6uzwhTuYburUqVOdHYQg/FUajYYePXpQWFjInDlz6NChg9oDVZZl9Hq9eqMNCAhg7dq1FBUV0atXL/UoMeH2lJKSwvHjx+nUqRPh4eGVEmZ+fj6BgYHqmySr1cqUKVOIjY1lxYoVBAcHOzt84Q4npmeFais4OJihQ4eiKApLly5VC4P8/PzUTe6yLOPn58d7771HSkoK77//vrPDFv6EJEk89NBDDBkyhIqKikqHXWdmZuLj44PBYEBRFLKzsyksLCQoKIg5c+ZQv359J0cv3A3E9KxQ7X333XfY7Xa2bt1KXFycOm1XUFCAt7e3Ok27b98+9u/fz4YNG6hZs6azwxb+wPbt2/nmm28IDg4mNDQUuHroeHZ2NjVr1lSTaFlZGRMnTiQgIIC0tDRMJpMzwxbuImKkKVR7Q4YMwdXVlSVLlrBp0ya1otbb27vSfs7atWuTmprK5MmTnR2y8AdycnLo27cvZ8+eVROmoihs3bq1UsLMy8vD19eXWrVqsXXrVpEwhSol1jSFO0KDBg0oLS2lRYsWpKSkEBISglarVU+80Ol0GI1G4uLiKCoqIiYmhoCAAGeHLVzjk08+AaBTp05qMU9BQQHR0dGV1jBfeeUVysvL2bt3L35+fs4MWbgLiZGmcMeYOXMmBw4cYOHChZVa6On1eiRJwmAwEBISwv79+/n666+dGKnwe9nZ2fz4448EBwfj7e2NRqPBbDaze/dujEajui/z008/5dFHH+Xzzz8XzQsEpxBJU7ijLFiwgO+++46MjAy1kESn06HVXn2pK4qCyWRi7ty5lJSUODlaweGDDz5g165dNGjQQK2UzczMpG3bturnlJWVkZ6eTq9evUSVrOA0ImkKdxSj0UhMTAwfffQRv/zyi7qe6diKotPpeOCBBxgwYABZWVnODlcAzGYzBQUFTJw4EZPJpO69lCSJgIAAdVp248aN7N69myFDhjg7ZOEupnd2AIJwszVt2pTvvvsOk8nE0aNH1ek+x3ReYGAgy5Yto6CggLVr1zo5WiE5OZny8nJCQkLU/0d79uyhZcuW6qiR0pIrAAAgAElEQVQzKyuLrVu3YrfbnRytcLcTI03hjtS/f38effRRvvnmG/Uxx+4qRVGoXbs2v/zyC5IkOStE4f/74Ycf+Oabb9RZAUVRaNy4Ma6uriiKgtVqxWg0MmbMGNq3b+/scIW7nBhpCncknU7H1q1bGTNmDJcvX1an+RwNEAIDAykuLubEiRM0aNDA2eHe1bp06YLBYECn06lnY/r5+anFP2+//Tbl5eWcOXPG2aEKgkiawu1PlmVKS0s5fPgw586d4+TJk1y5coWRI0dy4MABjh8/TseOHRk4cCBWqxU3Nzfg6jaUvXv3otVqGT58uDrS1Gg0tG/fnl69eok+pbeB+fPnU7duXbVYy9PTUx1xXrx4ES8vL8aOHcuFCxdIS0sjKCiIS5cuqdO5Go2GgoIC3Nzc8PX1xWQyYTAY0OvF7U24+cSrSrgtybLMgQMH+Oabb1i1ahXdu3cnNzeX9evX4+npidlspn79+nz55Zekp6ezc+dOXF1dGThwIB999BH169cnKCgILy8vWrRoAXDdFoWJEycyefJkateu7YynKPx/CQkJfPnll5SVlan9gxVFwWKx8Mknn1BeXs7EiRP59ttvOXbsGK+//jrvvPOO+vWDBw9m586d5Obmqo/VrVtXndoNCQmhpKSE8vJydDodffr0ITExkeXLl5OcnMzgwYPx8vJyxlMXqiGRNIXbSkFBAadOnWLAgAGYTCZOnTqldveJi4ujYcOGREREUFhYiF6v59///rd6hubZs2cZPHgwiqLwwAMPMH78eAoKCoiMjKz0MxxTgP7+/jRq1MgJz1K41qpVqxgxYgSTJ08mPDxcfdzV1ZXnn38egJMnT1KnTh169epFaGgoQ4cOpbi4mLCwMGrXrk1UVBRfffUV3bp1o7S0FKPRSHZ2Ntu3b8fV1RWNRsOZM2do06YN586do0aNGixdupR58+bx3HPPsXDhQlq1akV0dLSzLoNQTYjes8JtQZZlli5dyquvvkrXrl3Jz8+ndu3aNGvWjN9++42aNWuqhSGOkci1f8J/C30cNBoNdru90ikZjs9PS0tj7ty5/Prrr2JN08msVquaHJs2bXrdjIDj/5ujh7BjrdNut2MwGNS1asfatePzHN/baDQCV/d5urm5qa8Fu93O999/j8FgoKKigr1797Jo0SKGDh2qfo0g/J5ImsJt4bPPPuOpp54C4KWXXiIyMlJNdna7Hbvdrq5ROabutFqtuiZ57ZaSa2+61ybXax07dowvv/ySy5cv4+LiUhVPUfgTq1ev5qGHHmLOnDkYDIbr/l1RFCRJQqfTqXs49Xq9+pqQJEltm/j7/9+/f5N17fdUFAVZlrFYLPz8889UVFRQUFBAQkKCaOov/CGRNAWnKi8v54EHHuDZZ58lKSmJK1eucM899+Dp6ane4GRZxm63q8lNlmV15CFJEleuXEGn01FSUoKnp6daeXmt349Io6KiCAoKIjY2tmqfsPCH8vPzOXjwIEePHsXd3V0tCnIc72Y2m3FxcUGr1WI0Gjlx4gT16tVTR5WKoqjVt4CaDBVFUROr3W5Ho9GoyfXawjDH5x8/fpyPP/4YNzc3vvjiCwYPHuycCyLctkTSFJxq3bp19O/fn/Hjx1O3bl0kSWLfvn20a9eu0sjRMcr4oynY348eZFmmpKSE7OxsCgoKaNGiBS4uLurnnjlzhnnz5rFnzx6RNG8jly9fpk+fPrRt27ZSO70/+tOxdcihvLxcTbRJSUns3bsXuNp3+PTp0+j1euLi4sjNzaVfv35ERkaqPW2vff3YbDbS09NZtWoVQUFBrFu3jlq1alXthRBuayJpCk6TmprKmDFjePDBBzEajerB0VeuXMHPz089bNhut5OYmEh4eDg+Pj4oikJ5eTl16tRRR5z/19Ssw7U3xx07dqDT6fj888/R6XRV+6SF/1NxcTFdu3alYcOGxMbGqluHHBxvnCRJIiMjAx8fHzw8PMjOzubzzz8nMjKS5s2bs2DBAnx9fYmIiKBdu3acPn2aoqIiMjIyyMnJQafTERcXh8FgoFOnThiNRgIDA6+bnTh8+DCbN2/mrbfeYujQoVV5KYTbmEiagtOMHDmSpUuXMnXqVEJCQrDZbGpzdUmSOHLkCGlpaej1erZu3QpAdHS0etN89913+eqrr/D29mb48OFYLJbrbrTXJsucnBwKCgp4+OGHCQwMJCoqqsqfs/DniouLycrKYurUqSiKwq+//sqzzz7Lzp07uXDhAmfPnqVly5asXbsWRVF46KGHSElJwWKxULduXebPn4/NZvvDGQRFUUhPT2fXrl2sXLmSlJQU8vLyMJlMdOzYkSZNmhAVFaUmT1mWWbRoEVqtlv3791f1pRBuUyJpCk6hKAqDBw/m/PnzDB06FBcXF3XUJ0kSVquVCRMmoNFo6N27NwMHDiQ2NhY/Pz8sFgunTp2iZcuWjBw5kuTkZPbs2UOdOnWYNm0aSUlJ9O3bVx2B2u12ysrKyMvLIzExkYMHDzr52Qt/RlEUzGYz77//PhkZGTzyyCPMmjULrVaLn58fDRs2RKvVEh4eTlxcHOHh4X9rn2VZWRmbNm3is88+Y+PGjRiNRgYNGkT79u3VxGm1WpkyZQonT54U568KgEiagpPs3buXxYsX06BBA0wmE7Iso9VqsdlsHDt2jM2bN1NeXs53331Hhw4d/uf3s1gsLFu2jObNm/PUU08xZMgQpkyZwiuvvIKrqytff/01R48eFWcwCn/ozJkzDB48mOTkZMaPH09MTIy6lv7MM88wfPhwli1b5uwwhduASJqCU8yaNYsXXniBd999Fx8fHwC19H/27NlUVFSQkJDwtwt1Lly4wJ49e2jQoAHe3t74+fldN3UrCNeSZRkvLy+aNm3K8OHD1QrbXbt2MXz4cO677z5nhyjcBkRHIMEp7HY7Pj4+6rFdiqKwadMmfvzxRyIiIvj5559p3Ljx3/7+YWFhPPTQQzcxYuFOd+rUKUpLSyu9JgECAgLYs2cPnTt3Fk0PBHE0mOAcLi4u1KlTp9LNKT09HUVRWL58+T9KmILwV9ntdp599lmMRqPat9Zhx44dzJgx4w+bLgh3HzHSFJzi/fffJzg4WG2FJssysizj5uZG69atnR2ecJcZN24ciYmJTJkyBX9/f7XDlM1mIzo6Gl9fX3UfqHB3E68CocpJksTly5crHd+k0Wjo0KEDZWVlJCUlOTlC4W4yd+5cPv74Y0aMGEFoaChGo7FSv9stW7aIAjJBJUaaQpWz2+1Mnz6d/Pz8StOzzZs3Z9++fTz22GOkp6eLxgPCLffNN9+wceNGGjVqRJMmTdRuQ/DfPb5jx44lLCzMyZEKtwsx0hSqnFar5YUXXmDbtm2V+n/qdDpatmxJRkYGu3fvvq5lniDcTKtWreKll16itLSUZ555Bnd390o9a+12O8ePH+f8+fOiB62gEklTqHIGg4GePXvSqlWr606faN26NbNnz+bll19m1apVTo5UuFPt3LmTyZMnY7fbefjhh9U1zOLiYrRardqZ6pNPPmH37t3qaTqCIJKm4BTDhg0jOTlZXTu69qxLV1dXDhw4wOjRozl79qyzQxXuMHv27GH8+PG0aNGCN954Qz2CTpZlatSooe7PTE9Pp3379syePVtUzgoqkTQFp7BYLOzevRuz2azesGw2mzrifPPNNykrK2PUqFGUlpY6OVrhTvHbb7/Rr18/8vPzadeunbpuXlJSAvz3RB1FUfj+++/x9/enR48ezgxZuM2IpCk4xZAhQzhy5Ag1atRQD5R2bBzXaDQEBATw8ssvYzabGTRoEDabzckRC9VdWVkZn376KQaDgc6dOyNJEnC11+21Z3jm5uYyffp0FixYwCeffOLMkIXbkEiaglN4enri6enJM888w9tvv61OzwJqqX9AQAAmk4mEhATmz58vCoOEv02SJPr3788HH3zAyy+/TIsWLdDpdFitVrXvMVw9T3Pv3r0UFxcTEhJCcHCwkyMXbjciaQpOExkZyRdffIHNZiM5OVmdonXcyAwGA/369ePFF1/khRdeYOnSpc4OWaimioqKuHDhAuPGjcPd3V3dH6zT6dDr9UiSRFZWFikpKRw+fJgtW7YQFxfn5KiF25Fu6tSpU50dhHD3aty4MVFRUUiSxLfffgtc7RvrWGvS6XT4+vpiMBg4cuQILVu2xN/f35khC9WQm5sbUVFRGAwGtFqtuq1Ep9OhKAoFBQW899575OXlceDAAerWrevskIXblBhpCk730EMPYbVaSU5OZvfu3QCVtqI4ugVt3LiRkSNHqpvPBeFGlJWVMXfuXI4dO6ZWxjq2mFRUVHDw4EEmTpxInz59SEpKElOywp8SI03httClSxeCgoLYu3cvmZmZNGzYELvdrt7kXFxciIiI4Pz58/j7+3PPPfc4O2ShmqioqKBfv35EREQQFBQEoCbNRYsWkZaWRps2bfj666/x9fV1crTC7U6MNIXbxpgxY3j99ddRFIUZM2awb98+JElSb3ANGjTg9OnTjBo1Crvd7uxwhWrCYrFQWlrKlStXKs1gJCcnk5KSQmxsLGvWrMHDw8PZoQrVgDiEWvjbFEWhvLyc48ePk5OTQ35+PjabjVGjRrFx40Y6deqEu7v7X/6+ixYt4oknnqBRo0aMHj0avV6v3ujMZjMFBQVERUXx2GOPiUbawp+yWq1kZmaybNkywsPD1UYGiqIwevRoYmNj2b9/v2heINww0bBduGGKonDu3Dl27drF1q1b2bRpE/fffz+7d+/m2LFjAAQGBtKsWTN69+5NSEgITzzxBE2aNKFdu3ZcvnyZsLAwfH19/zTZjRo1CpvNRm5uLosWLeLf//43BoMBjUaDu7s7+fn5PP3003h4eIieoMKfSkpKolevXrz55puVDgBQFAWDwYCrq+v/mTBlWcZut/PZZ59x/PhxJEmia9euLFy4kFatWlGjRg06d+5MREQEoaGhVfWUBCcTSVP4n86cOcOSJUvw9PTkpZdeonbt2pw5cwadTofJZOLRRx8lPz8fLy8v3N3dOXDgAGPGjOHKlSvMnDkTs9lM586d2bZtGw0aNCArK4uIiAjGjBlDaWkpderUIS4ujlq1aqlbAcaMGcPGjRuZN28eEydO5JVXXsHPzw+NRkN4eDgREREcOHBAJE3hTx06dIiKigrc3d3VEaajcvbhhx/m1KlT7Nixg06dOqlfc+zYMUpLSxk0aBATJkxgxYoVuLu7YzabiYyM5PTp05jNZvbu3au+roODg4mJiSE8PJx3332XvLw8YmNjnfjMhVtFTM8Kf8hms7Fu3ToSExP59NNPURSFxx57DFmWiYmJwdfXl7179xIXF4fRaFQ3iDv+dNycSktL1Xf1V65c4eLFi3z99dfUq1ePZs2a8dVXX6k/c8WKFWzatIlBgwbRo0cPNBoNBw4coFWrVgwbNoyOHTsCqFsEBg4cSL169Zx1iYRqoKioiISEBPLy8tDpdOpauF6vR1EUJk6ciI+PDz///DPFxcWcOnWKf/3rX3z44Yd899139OjRAx8fn+sOFpBlGY1GQ0FBAYsWLaJhw4bs3LmTunXr0r17d6ZPn05sbCwjRozg4YcfVguQhOpPJE3hOhs2bKCoqIhHHnmEOnXq0LBhQ3Jzcxk2bBgGg0Ht2FNcXIzRaFRPhVAUBUmS/nC6y3HDsdvtnDhxgnr16qlfk5qaypUrV2jXrh1z5szhzJkz3HvvvbRo0YJmzZrxyiuvEBAQwFNPPaV+P4vFQlhYGIMGDarKSyNUMwkJCSxcuJB7770XnU5HUVERXl5e6muvuLiYWbNmcenSJTQaDevWrSMpKYnw8HB1CcHx5+8Tp0ajwWq1qh9LkoROp0OWZd58802Ki4uJjY3l4MGDdOvWjb59+9KnTx9q167tnIsh3BQiaQoqs9nMc889x5IlS2jTpg39+/fHZDKh0+mQJEnt0gNXbyCZmZmEhobi6uqq3kzy8vIIDAz8wxuM4+Pi4mI8PT3Vxx0Nsh1rTufOnWPz5s1UVFRw5MgRvLy8eOWVV9S1UEVRmD9/Pp6eniQlJTnhSgnVxddff82wYcMYN24c9evXR5IkUlNT1QOnHa/JS5cuYTKZMJlMAJXW3B0tHq1WKyUlJXh4eKjnvzpe5443kxqNBovFQlJSEh07dsRqtbJkyRLCw8PZsGEDAC+88AITJkwgJCREFLJVQ2JNUwAgKyuLKVOm8Ntvv1G7dm26d++Ot7e3eiOQJImkpCSaN2+uJrzIyMhKNw+73U56ejpGo7HSTSYsLAy9Xo9Wq0Wr1apf75gqk2VZXcvUaDTUqlWLkSNHYrfbkSQJvV5fqepRURQiIyOpU6eOcy6WUG107dqVkSNHEhQUhEajQa/Xc88995CTk0NwcLCatAIDAwEqvcZkWeb8+fNcuHCB1q1bo9fr8ff3Vxu9O6Z7LRYLZWVlnD17lujoaHJycqhXr576mnbMkDjaQ8bExNC2bVuaNm3K999/j4uLixOujPB3iZGmwNmzZ2nTpg25ubnMmDEDg8GgTjU51if1ej02m01tQ+aYis3NzcXPz49jx45RVlbGd999V+lcwrKyMux2OxqNhmnTpuHj41Pp/EK4ejM5dOgQLVq0UEey13YD+v2oVVEUjhw5QmxsbKUpW0H4I4MHD2bHjh1MmzZNfR2dOHECX19fAgICgMrJsqysjISEBLKzsytteQKuOzTg2mUHx5ao3Nxcjh49Sv/+/dUZFI1Gw6VLl/D19UWr1aqdr/Ly8li6dCkhISFVe1GEv00kzbtcVlYWY8aMwcvLixo1atCsWTN1XcZsNmMwGNSRo0ajURNgQUEBeXl5fPjhh+rUbdu2bQkJCSE2NpaQkBDuueceQkNDWbx4MbNmzeK+++6jqKiIfv36qe/CtVotGo1GXWvKycnBbDZTq1atSlsEHIUXWq0WSZL46KOP8PDwYO/evc66dEI1kZKSQlFREVu2bCE8PFx9vLy8nJ07d+Li4kLDhg05d+4cGRkZhISE0Lp1a3UEeG1CzcnJwW634+HhgcFgQKfTYTab8fPzU9f6HS0ha9WqRUpKCk2bNsVgMFBYWEhMTIz6hjE/P59Jkybx5JNP8umnnzrr8gh/kUiad7Hi4mLi4+M5fvw4M2bMoEaNGmpycvwny7JaEWuz2Vi6dCm//fYbsizTqFEjPD09eeCBB+jSpQv33HPP/7lGc/HiRVavXs2rr75Kt27d2LBhA2PHjqVu3brYbDZ0Ol2lad7CwkL1ZqXX6zGZTOooVJZlWrZsibu7Ow0aNKjKSyZUU08//TSLFi1i2rRpeHt7X1cJ65j1cLyZg8oFQMnJyeTm5vLjjz8CUK9ePU6dOgVAQEAAo0ePRpIkQkND1eSp1+vVk3vWrFnDoUOHeOyxx9SpW8fIdMSIEaJ9XzUikuZd7NChQ/Tt25e6devywAMPqG3EHAnTkcDWr19PWVkZ+/btw9vbm7Zt2zJgwAAeeOABdX3yRpWWlrJmzRrmzZtHeno6jzzyCJs3b2bEiBFqWb7jpuP4+PdTtDt27GDXrl389ttv6sHVgvBnLBYL7777Lo8//jjff/89NWrUqPS6guurYwEKCgpo1aoVPXv2ZPjw4fTr1w9/f39kWSYjI4Njx46xY8cOzp07x5UrV2jTpg3nzp1TjyBzTM3abDbKysrYs2cPOp2Obt26qUn1119/paSkhM8//9xJV0f4K0TSvEsdPnyYvn37MmHCBHX6VZZldc+lRqMhKyuLxMREkpOTadq0KWPGjGHIkCF4e3vflBguX77Myy+/zPLly2nSpAkWi4XevXtjNBrVkv9rX54ajYaMjAz27NnDf/7zH7p06XJT4hDuHikpKcTFxdG1a1d69OiBh4dHpf3FcDXBnj59mpSUFHbu3MmGDRto167dn75BPHnyJMuWLWP16tWkpaXRsGFDQkJC6NOnDzqdrlItQHp6Oi4uLurWk/3792O1Wvnyyy+r5BoI/4w45eQutWLFCn7++We6dOmijtYcBQ+yLPPxxx+zevVq/Pz8WLJkCR988AEtWrTA1dX1psVgMpl48MEHGTNmDB4eHly6dImlS5eSlJREREQEBoMBWZaxWCx89tln1KxZk9deew0XFxcGDBhw0+IQ7h6BgYGEhobStm1bxo0bR0xMDCtXrsRut7Nw4UIeeughPvjgA3bt2kXnzp2ZMGECXbt2/Z8zKn5+fnTp0oWnn36arl27UlhYyOrVqykuLmbz5s00bNhQ3Zrl4+ODyWRSp4ItFgu1a9cmPj6+Ki6B8A+JkeZdSJIkBg0aRFxcHH5+fmrxgmOd5ZdffmHlypWMGTOGmTNnVirIudWOHz/OTz/9xK+//sq5c+do0KAB9913H2PHjmX8+PGMGzeuymIR7lyyLLN//34CAgKYPXs2oaGhpKWl8eabb3Ly5Ek6deqEm5vbP/oZGRkZzJw5k4ULF+Lm5sZzzz1HrVq1KjVNkGWZ1NRUysvLWbhw4c14asItJpLmXej48eM0btyYTp06MWjQILWCFeDUqVPMmzePDh06sG3bNqfGWVZWhtVqxcfHx6lxCMJfpSgK48aNIzc3l969e1NQUFApCTuWHk6fPs2YMWOIiIhwYrTCXyHO07wLZWdnExISQrdu3dTGBY4KwtzcXGRZZunSpc4OE5PJJBKmUC19//33rF69muDgYCwWC25ubpWq0h37nGfMmMEbb7zh7HCFv0B0BLoLubu7M2LECPz9/dUiCEchUEJCAlFRUURGRjo7TEGotvr378/x48cJDQ2ttM8T/ruVZfHixbRu3Zr58+c7M1ThLxIjzbvQwYMHee+99ygvL1fL7B2l8eHh4dhsNmeHKAjV1tatW9UzNv+oAlxRFPLz83nwwQeZM2cONWrUcGK0wl8lkuZdqE+fPsydOxej0VjpXbBWq6VFixb4+vqqm70FQbhxdrud3bt3Vzrp59qGH5IkYbFYmDRpEoWFhbRq1coZYQr/gEiadyE3NzfGjRvHggULMJvNahWf45zKI0eOkJCQ4OwwBaHaSUtLY/bs2Tz//PPqY46R5tmzZ/noo4+IiYnhww8/ZNKkSc4KU/gHRNK8C4WGhtKyZUsKCgrUaVnHmZhdunTB3d2dF198kezsbGeHKgjVSuPGjdmzZ0+l4/LgauI8fvw4JSUlXLx4kTFjxogit2pKJM271MyZM3n55ZepqKioNBWr1+uZNGkSV65coVWrVixdulSscQrCDfruu+94+umn/3Ats1evXvj5+Yl2edWc6Ah0l/Lz82PAgAHs37+fDh06VDpQ183NjTZt2rBt2zbWr19PQkICJpPpTxuyC4IAV65cQafTYTKZrutpC5CTk8OxY8fo0KFDpRNXhOpDNDe4iy1ZsoTt27cTEBBAdHR0pV9uuHrOpaOFnVarxc3NjWXLltGkSRMnRi0Ity+bzUbnzp0ZOHCgujfz2mPtZFlm+vTptGvXjuXLlzs7XOFvEEnzLjdgwAB++OEHXn/9dSIiItRfcEc1rWP/5i+//MLevXvp27cvpaWlzJ079x+3GROEO1Fubi7x8fF07tyZuLi462ZniouLKSsr4/nnn79phx8IVUesad7lFixYQPPmzfnll1+4dOmSmiTNZrO6lqnT6YiPj2f8+PEcPnyYhQsXEhkZKU5lEIQ/EBAQQK1atViyZIl6aDugVqhnZWXx5ptvsn//fidHKvwdImne5QIDA5k3bx67du1i5cqV6gjT3d0dgMLCQiRJQlEUdDodPXv2ZOzYsWg0GpKTk5kzZ456GK8gCKDValm6dCkeHh6cPXv2usOuo6Oj6dChA2KSr3oS07MCAAsXLsRgMLBixQp69uyJm5ub+s74wIEDREVF4eXlhV6vVxu8y7LMSy+9hNFo5KeffqJt27bOfhqCcNvw8vIiJiaGkSNHVjrZRJIkDh48SL9+/bj//vudHKXwV4mRpgDAE088gU6nIyEhgS1btqhTtTqdjubNm2O32zl8+DCSJKlNp202G4MGDSIyMpKnnnqKxMREZz8NQbgtFBUVER4eTufOnStV0cqyTF5eHosXLyYtLc3JUQp/h0iagurRRx9l48aNHDlyhGnTplFeXo4sy+j1esLCwmjVqhVlZWWcOHECu92Oi4sLrVu35oknnqBOnTo899xzrFu3ztlPQxCc7j//+Q9paWl4enpWWtPUarX4+fnx7LPP0q5dOydHKfwdYnpWuM7p06eZNWsW69ev5/z580ybNg0PDw/1MOri4mKys7OJiorCaDQCV3tuvvjii0iSRGJiIh06dHDmUxAEp9m3bx/33nsvWq1WPcTdMcrUarUkJCTwww8/cOrUKerWrevscIW/SCRN4Q9ZrVZmzZrFtGnTaNeuHf7+/moidKxpWiwWjEYjWq0Wu91OZmYmv/32GxaLhblz5xITE+PkZyEIVcvRhN3f35/+/fvj4eGhdtwyGAzY7XYSExPZt28f58+fF81CqiExPSv8IRcXF1599VVSU1Px9vYmMTGRZcuWsXPnTuBqQYOLiwtFRUWkpqaiKArR0dH06NGDjIwMvvzyS9F+T7irSJLEyJEjiYiIoEePHnh6eqLT6SgpKVH3PBcWFlJeXs7KlStFwqymRNIU/lRERAQrV65k9erV5Ofns3LlSjIzM7Hb7Wi1Wnx8fKhXr556U9DpdIwYMYK3336buXPnOjt8QagyH330ET/88APe3t4EBQUBVxOpt7e3OkX7448/kpiYSEhIiJOjFf4uMT0r3DCr1cqLL77IhQsXSEtL45lnnkGv1wOoU1Ba7dX3Yb/++is2m4133nlHnOYg3PEyMzNp1KgRY8aMoV69emp1ucVioUaNGuoWrZUrV9KuXTumTZvm7JCFv0mMNIUb5uLiwty5c+ncuTPZ2dnMnz+fsrIyAPWIMbg6dVu/fn0uXbrEhjyuf4sAACAASURBVA0bnBmyINxykiQxfvx4XnrpJaKjo9FqtUiSRFFRkZowJUlixYoVNG/enDFjxjg7ZOEfEElT+Es0Gg3PPvssK1euJDs7m88++0xtgnDtGo1Wq+WXX35h5syZToxWEG69o0ePsmnTJgoLC9XHFEXB29tb7eNcUFDAtm3biI6OJjQ01InRCv+USJrC39KtWze+/vprMjIySEpKUluClZSUqB8/8cQTFBUV8euvvzozVEG4pRISEpg4cSL33HMPcHWpIiUlRV3HtFgsLFmyhP/H3p3Hx3y1jR//zJZ9FYkkJYkQREjsu4glltipUlWlllqqivbuqlSrG1W9taUU9diqtJQitlZD7YIQIYtEJBHZ92T23x9+85WpPs99tyWT5bxfr77CiLi+05m5vuec61zn+eefZ+rUqRaOVvinRNIU/rbBgwczZ84cDh48SFpaGkajEXt7e+D+SNPb25vNmzcTFBRk4UgF4fFRKpXk5uZKMy0lJSV4enpKv79w4QJJSUm8/PLLomK2FhBJs47S6/UkJyfzyy+/sGbNGrZs2UJ5eTn79++nuLj4v/4506ZNIzc3l1u3bklnBpoYDAaOHj3KzZs3H8clCEK1YGNjI90sAuTl5ZklzcDAQKysrOjTpw9PP/0077//PteuXaOiooKcnBwyMjKA++9JofoT1bN1SExMDPv27eP69eukpKRw6tQpOnfuzNmzZ+nZsycvvfQS48ePR6fT8fLLL1NaWkqXLl0IDQ3F39//f71LfuaZZ0hMTGTy5MnS1hOj0UhcXBz//ve/+eGHHxg1alQVX60gVI1u3bqhUqkYP368VCWbkpJC48aNpTVNrVZLXFwcW7duxd7enuzsbGxsbGjWrBlXr16loqKC8PBwZDIZ48aNIyQkhJYtW0qnDQnVh0iatZzRaCQyMpIjR44QExPDsWPH8Pb2ZsKECSQkJNCzZ08SEhJo2bIlKpWKwsJCfv/9d3x8fPjmm28wGAxoNBqGDh1KUFAQ7dq1o1evXnh4eEj/RlRUFL169eL555+nU6dO0uPnz58nISGBH374gfr161vi8gXhsUtISGDVqlUEBQVJSfLo0aP06tULlUoFID1uEhcXh5ubm3QUn6enJ0eOHOHu3bvY29sTGRmJg4MDBw8eZM2aNUybNo3u3btLW7wEyxFJsxa7du0aGzZs4LPPPsPV1ZUXX3yR/Px8/P39pTtYUzm8qTUePNhzKZPJyMzMpKSkhOvXrwNw4MAB7O3tCQ0Nxc3NDZVKRXJyMsePH+fJJ5+kX79+0gfEF198gY2NDefPn7fMEyAIVSAxMZH3338fg8FA9+7dpdf/gQMHCAwMxM/PTzoZyKTyx27lU1Dg/vsvISEBa2trrK2tWbp0KQMHDuTy5cts3LiRrl27mk0HC1VLJM1aqLS0lMWLF7NixQoCAgLo3LkzjRo1omHDhhgMBmQymVTZp9frzXpjVk6gpje/6ater6eoqIjU1FQSEhI4ceKEtJ7z5JNP0rJlS+kDQK/Xc+LECQoLC9m/f78lnw5BeOymT59OVFSUVOxjes8UFBSwe/du2rZti7e3Nx4eHtJ76o/vL5PKvzcYDCgUCm7fvs3Bgwfp0qULx48f58qVK9IoVqhaImnWMhkZGRw+fJgZM2Ygk8l48803zaZSgYcSISAlUr1eT1lZGTY2NlLDgj97g5va6FUu/DH9HNNLavPmzVy4cIHy8nJRNSjUaoWFhRw6dIiFCxcyb948s/eMwWAgOTmZI0eOkJaWhpOTE56envTs2ZOMjAxkMhlqtZq2bdvi7Oz80Hul8nu1uLhYKuKbMWMG7du3t9AV110iadYi9+7do0OHDhQUFPDWW2/h4uICIBXnVE5opjez6bgipVJp9meVp2qzsrJwcHDA1tZWGoWa1mJMf+fP7pbLyspo1aoVffr0eSi5CkJtc+XKFaKioli3bh1jxoyR+s+a3hd6vZ7y8nJUKhVarZb8/Hzs7e1JSkqSRpR5eXn4+/tjb2+PWq3GwcEBV1dXsxtUnU7H/PnzcXNzIzY2VnqfC1VDJM1aoqCggOnTp7N7925GjhxJ3759pURmSpAymYwzZ87g4ODAnTt3qKioID09HU9PT/r27YtCoUChUGBvb//QGqdOp6O8vJzk5GTpiKNWrVohl8sxGAzo9Xru3r1Lw4YNpanf27dvs2fPHmJjY8VIU6gTMjMzef7554mPj2fo0KHY2tpK74nKszXAn07NVmb685KSElJTU6XlD6PRyJ07d7C2tsbJyYm5c+dW5SXWeSJp1gIajYbQ0FBiYmJYunQpdnZ20psrISGBmJgYLl68SHFxsdlxXfb29uh0OtRqNUFBQdy5c4eSkhLmzJmDt7c3zs7O0vdWTsA6nY6bN29SWlpK/fr10Wq11KtXD3d3d7Npqf379/Pee+8REhJiiadFECzCaDSya9cuNm/ezL59+5g0aRIODg7S+bJ/thb5Z8mzcnLV6/XEx8fj4eGBm5sbAGfOnOHbb7/lxo0b4uzaKiSSZi2wc+dOZs2aRbdu3YiIiDDbG/bRRx+Rnp5OvXr1mD17Np06dSIwMBBvb29sbW2lvpj37t3j5MmTXLx4kby8PA4fPoyfnx/9+vXDwcHBbLN25Tf4/1bE4OHhweHDh5kyZQodOnSwyPMiCJZUUVHBsWPH+PDDD3F1deXIkSPY2Ngwd+5cLl++TMuWLcnJycFgMNCmTRuSk5Np0KABRUVFlJaWEhAQIG0xMe3/vHHjBi1atJB+n5+fj7u7O9OmTbPw1dYdImnWcKdOnaJHjx6MGDGCvn37Sm8yvV7P+++/T35+Pu+++y4LFixAoVD8Vz/TaDRy+vRp1q5dS2ZmJocOHWLAgAF07NgRT09Ps6lbML8jzsnJ4fr165SXl/Pjjz+KaVlBAHJycti5cyc3b97E39+fNWvWMG7cOFasWMETTzzB3LlzmTlzJjNmzOCnn34iKysLGxsbbG1teeutt7C2tgZAq9Wi0+mws7NDo9Hw73//m+LiYqmgSHj8RNKswdRqNe3ateP69es899xzdO3aVboDXbRoEVlZWf+4G09hYSHff/8927dv59dff2Xu3LlERkYydOhQ7ty5g5WVFV5eXri7u1NWVsaiRYuYNWsW/fr1Y+TIkY/wagWhdtJoNNLMkF6vx9ramry8PDZt2sT3339PfHw8M2bMoGnTpigUCsrKyrCyskImk3H27FkuXLjAsWPHpMIj4fESSbMG27x5Mzt37qRBgwY0adIEZ2dnFAoFarWa+fPnEx4ezoEDBx7ZvxcbG0thYSGvv/46w4YNY9WqVeh0OkJCQpg6dSpRUVH079+fPn36YGNj88j+XUGoq1JTU+nSpQseHh7MmDFDOqvTYDBIBXmRkZHMmzeP3r17WzrcOkEkzRqqoKAAf39/vL29eeGFF7C2tpYKBmJiYvj666/ZuHEjkyZNeuyx6HQ60d5LEB6Tb7/9lhdeeIF58+bh4+MjVafLZDLKy8uZN28e69atE8eOVRGxea6GOnr0KDqdjg4dOqBUKtFoNBgMBpRKJT4+PrRr146mTZtWSSwiYQrC4zNp0iT8/PzYtGkTgFnDEWtra/71r3/Ro0cPC0dZd4ikWQNVVFQwc+ZMRowYITVIv3v3LhkZGZSUlLBt2zaio6Px8vKycKSCIDwKo0ePlirYK7fY279/P5988ol0vJjw+ImkWQPt2rWLnJwc0tPTpa4+Go0GDw8PVCoVjo6OANJ+LkEQarbevXuTk5NDTk6OVCUrl8tp1KgRdnZ2tGjRwsIR1h0iadZAbdq04aWXXmLkyJHIZDISExO5d+8eKpUKlUqFv78/cH9EKghCzdetWzfS09PZtWuX2UjzwoULzJs3T8wqVSGRNGugsrIymjdvjkKhQKVSYW1tzcGDB7l37x75+fmcPn0auH/otCAINZ+dnR1WVla4u7sDD9Y1L1y4QGJiotijWYVE0qyBli5dymuvvSa1tatfvz75+fnSMV1z5szBzc2NHTt2WDpUQRAegW+//Ra1Wi214DO1s5TJZGJqtoqJsscaaNCgQWYnjtjb22NnZ4eTk5N0vJdcLmf//v2o1Wqpm4ggCDVPeno6Fy5coGnTpgwfPtxsTbNBgwaEhYVZNsA6Row0a6DWrVuzY8cOLl68KI02w8LC2LNnDwaDAaPRyMyZM7l37x5Lly61dLiCIPxNBoOBqVOnsnr1aubMmSMdx2c0Grl16xaZmZlcvXrV0mHWKSJp1kAdO3bEzc1NamigUCho3749arUarVaLUqnE3d2dxo0bs3z5cqZPn05paamlwxYE4S9asmQJV65cYcCAAWano8hkMvz8/Ojdu7dU+CdUDdERqIaqqKjgu+++IzY2Fl9fX2la9sqVK7Rt2xa4/8b69ttvOXfuHNOnT+fNN9/E19fXwpELgvCfaLVaFixYwJdffkmLFi2YOXMmVlZW0qHxRqORu3fv0qFDBwYPHiwKgaqQSJo1VEVFBSEhIcTHx/PBBx/g5uaG0WikuLgYACcnJ6mtXnJyMq1bt2bq1Km0aNGC6dOnM3bsWKkSTxCE6iMtLY3XX3+drVu30qFDByZPniy1zqv839GjR8nLy+P48eMiaVYhkTRrsKSkJPr164eNjQ0vvvgiKpVKOilBpVKZ9ag0Go2cOXOGc+fOERcXR/369Rk4cCDh4eEEBweLg6IFoRr44YcfmD59OhEREdjb2+Pj40P9+vWl4j6ZTIZOp2PdunVcuXKFmJgYWrVqZemw6xRRPVuDNWnShDVr1jBmzBjp9AOlUimdfpCUlIS3tzc2NjbIZDK6dOlChw4dyMnJoaioCHt7e15++WXKy8vJzMzEycnJ0pckCHVSZmYmn332GZ988gnBwcG0b98eW1tbdDqdWcI03QRrtVqeeuopkTAtQIw0a4G8vDzmz5/Prl27ePvtt7G3t0cmk6FQKCgqKsLR0VEqGDKth8D9vV6lpaWo1WomT57M9u3bmT9/voWvRhDqltOnT3Ps2DE2bNhAeHg4gYGB2NnZYTQapWp4uVyOTqdDLpfz2Wef8eabbzJs2DDRKtMCRNKsJfbu3cvUqVOlytmZM2dKCdJ0hFB5eTkuLi7Sm7By8+dbt26xYsUKXn75ZZYtW2bhqxGE2s9oNLJ06VKWLl2Ki4sLixYtktYmKxf8yOVyDAYD0dHR7N27l7CwMObPny8d1iBULbHlpJYYNmwY586dw9/fn5iYGNLS0qS7VNMdq2kEanoTajQa4EH5etu2bVm+fDljxoxh8+bNaLVaC1+VINROFRUVHD58mLVr1xIYGMjo0aPN6g/0er2UMI1GI+Xl5Zw8eRKdTscrr7wiEqYFiZFmLVNRUcGSJUt49dVXCQkJwd3dnaZNm3Lr1i0mTpyIlZWVVEwA98/CNL0E9Ho9Z8+e5ddff0Wr1ZKWlkZWVpZoBi0Ij1BZWRkjRozgl19+kUaZlT+GTX1lTWuZFy9eZN26dSxdupSRI0cSGBhowegFkTRrqeLiYt544w1iYmI4ceIEAMOHD8fDw4N27dqhVquB+0nzj4dIG41G1Go1xcXFLFu2jKioKFFdKwiPQG5uLuPGjSM6OppWrVrx1FNPmfWTBcxGm4sWLUKr1TJs2DBWrVqFs7OzJcMXENWztZajoyNffPEFRqOR2NhYdu7cSXR0NOvWrePrr7/mlVdewdbWFn9/f4YNG8YTTzxhttfL1taWiooKGjRoQHFxMRqNBisrKwtekSDUbBUVFWzYsIFjx46xYMECfHx8zGZ6ZDKZtKSSlpbG77//TsOGDXn55Zd57rnnLBy9YCJGmnWIKYHK5XI2bNjA+fPniYmJoaioiLFjx9KrVy+z4iC4X5CwfPly5s+fz+zZsy0YvSDUbOPGjePWrVuMHj0aFxcX6b1WuTq2oKCAFStW0KtXL7Kzs9m5cycNGjR46Gfp9Xqio6O5ffs2W7ZsISMjgxMnTjBs2DAGDx7MoEGDCAgIsMBV1n5ipFmHyGQyaV/X8uXLgftJsWfPnly5coXQ0FDgwTSRXC5HLpcTERHBhQsXLBO0INQCCQkJ7Nmzh9DQUBwdHaVZHZlMhkajoaCggG+++Ya8vDyaNWvGxIkTGTZs2EOdflJSUvjuu+/4/PPP6dKlCxkZGdy7dw8HBwd27tzJ5cuXUSqVzJ07l3fffZd33nnHEpdbq4mRpsCWLVt48803efXVV6Um8EVFRVKzg4SEBKnc3cHBwcLRCkLNM2fOHGxtbfH19UWpVEqjTIPBwJdffklsbCyDBw9m1KhRTJw48aE6g99//50lS5ZQWlpKcXExLi4uRERESO0yTVXxpo/z6OhoRo4cyblz5+jYsSMRERGWuOxaSSRNgfz8fOrVq8esWbMIDg5GJpORlpaGt7e3NG306aefsnTpUsaNG2fpcAWhRikvL2fy5Mk0btwYPz8/4EGxz4oVK4iPj2fWrFksX74cW1tbiouLSUlJITU1lcjISI4fP05mZiZyuZxOnToxZMgQs59fuVNQ5a8Gg4F3332X0tJSLl++TJMmTSxw9bWPSJoCSUlJBAcHM2/ePBo1agRAbGwsQUFB0hswNzeX4cOHExQUZOFoBaFmuXr1Kt9++y1NmjQxK/yB+zesCxcuRKfTYW9vj6enJ0lJSXh5eXH37l3c3d2l83G9vb2l7SiAWfP25ORknJyccHFxQaVSSUVFubm5lJaW0qJFCyZMmIBcLrbm/1NiTbMO02q1bNiwQVr3aNCggZQkTedvmu5Yly5diqenp0iagvAXJSYmsmLFCj7++GOzLSMymQxXV1dWrlxJQkICWVlZODs7ExgYiJ+fH+7u7ri6ukpJsHJ1rUwmk/pHy+VyaRRpMBiIj4/H2dkZd3d36tevT35+Ps899xwuLi4MGzbMUk9DrSGSZi2m0+nIzMwkKiqKM2fOcOvWLQICAsjKymL//v0UFxfTtGlTvLy8mDx5MlZWVtKda0lJCfBg6uepp54Sm6oF4W8IDw/n1KlTXL582WzmxsXFBYVCgUqlIjAwUHp/BQcHYzQapVFp5Spb0+8BKQFXfkwul9OsWTMMBgMGgwG4v/3M1dWVI0eOiKT5CIjp2VqmvLyc48ePc/DgQbZt20ZgYCC2trZkZ2eTlJTECy+8gFwuZ+/evfj6+jJo0CBsbGyABwkyNjYWLy8v6tWrB0BOTg7Lly8nNjYWb29vS16eINQ4arUad3d3+vfvT3h4uNTt59KlS4SEhDxU9FO5/aVCoZAer1xxC0gdg9RqNSqVitLSUhwcHKQp2NzcXJycnFAoFOh0OjQaDZMnT8bV1bWKrrx2EkmzhtNqtZw9e5bi4mJWrlzJyZMn6dixIwqFgvj4eIYPH07r1q2l7zV1H9Hr9QAoFAqzNZJ79+6h1+ul9ROj0cjXX39N586dWb16tWUuUhBquMjISGQyGfHx8VIrS4PBQFJSEvHx8bi7u+Ps7IyNjQ1arRZra2s8PT0xGAxYW1sDSF2CTG0wf//9d3744Qd0Oh2+vr7cuXOHUaNG0bt3bxQKhZRUjUYjly5dYt26dZw8eZLu3btb+Nmo2UTSrIE0Gg0rVqwgKSmJ+fPnExISQvPmzXFxccHBwYEBAwZga2uLVqtFoVBId6uVp3F0Op3ZFFB5eTnW1tZSEjW9LAwGA02bNkWv1zNw4ECLXbMg1GRarZbmzZtjb2/P7NmzpTVK0/usvLwclUolvR9NhyqYqteVSiXZ2dmkpaWxdu1afHx8CA8PJy0tTWrHt2zZMr7//nu6d+/O008/LY1gjUYjZWVlbN26VWqcIPx9ImnWIEVFRXz++efMnDkTT09PHBwcWL58OTk5OdjZ2Ul3pCYymUyaupHJZBQWFqJQKDAYDOj1epydnR8acZqmdgwGA/fu3SMmJoa+ffsya9asKr9eQahNzp49S1lZGVOmTOHFF1+UTh0C8xtaU/FdSUkJGo2G7777juvXrxMUFISNjQ2tW7dm0KBBDB48GFtbW7N/Y+zYsezevZulS5fi7Oxsdmh1YGAgvXr1MpvyFf46kTRrgOLiYq5evcqQIUPIz89n0aJFuLu7o1KpHjodAR509FGr1dy4cUOqrrOxsUEul6PValEqlWbnbWq1WnQ6HSqVipiYGGxtbVm5ciXHjh2jXbt2uLi4WOTaBaE2iYuL4/XXXyc1NRW5XM7EiROlmgLTe1GtVhMVFcXhw4cpLi4mMDCQjh078swzzxAWFvZ/9oC+d+8ezZs3p1OnTowaNUp6j589e5aNGzeSnJws7RUV/h6RNKu5mJgYRowYwbhx4zh//jzh4eE4Ozs/lCBNX00bmdu0aYOtra1Z8YDpDaTT6bh79y4+Pj7Exsbi6uqKlZUV7733Hq6urty9e5ddu3ZhZWXFkCFDHmrlJQjC36fX6/n666/JzMzkgw8+YPPmzbz00ks888wz7N+/nxkzZvDGG28watQonn76aQYMGCAl1v+Gh4cHOTk5fPbZZ9Lf++abb/D392fHjh2P67LqDLHlpJoyGo2sW7eOF198kaFDh+Lo6Mjo0aMfWgvJy8vjxo0bxMbGYmdnx+jRo+nRo4dZUtXr9dLerbKyMnQ6HatWrZJGmAA7d+4kICCACRMm8OSTT+Lv72+xaxeE2kyhUDBr1izUajX9+vXDxcWFAQMG0KpVKzQaDVOmTGHChAl/2qj9P7ly5QrZ2dn06NEDGxsbqWjo5s2bYo/1IyKSZjW1YMECUlNT6d69O3379jUr0NFqtVy9epXIyEgcHR15+umn6dSpk9RgvXJS1el0HD16lP3790sJ8q233qJr1660adOG1q1b4+fnR2hoqJSUBUF4/KytraVDErZs2fKPf15FRQXffvstHh4eUrN3UxFQcXGx1O1L+GdE0qyGVq9eTdu2bTEajfTr189sdHnu3DlOnjxJaGgor7/++kNtteB+EU90dDRZWVmMGDGCn3/+mV69ejFt2jQ6dOhA48aNRTstQahlPvjgA1auXMmiRYtwdHSU1kgdHR0ZNmwY/fr1s3SItYJY06xmfv/9d0JDQ+nRowdPP/20lBDz8/PZsWMHgwcPpmHDhn+aLPV6PZmZmWzYsAEHBwfKysq4desWqampYrpVEGqx69ev06ZNG7RaLYsWLcLLywu4X8tw48YN9u7dy/Hjx2nYsKGFI635RNKsRkpKSmjbti0BAQFERERI1bFFRUUUFRVJ0yt/TJaJiYkkJCRgZ2fHjh07eP311wkPDycsLMxSlyIIQhXRarVERESQkJBAREQEer0eX19f6tWrJy3PpKSkEB0dLWaYHgExPVuN7Nu3j4iICDw9PaW9lcXFxdja2koVs6b2WgC7du0iKSmJkJAQzp49y+HDh3nttdcICQmx8JUIglBVFi9ezNGjR3nhhRdo3bq1WUX9+fPn2bt3LwsWLBAJ8xERSbOayMrKYsqUKbRt25bx48dLCdLR0VH6HqPRiFqtZtOmTRgMBpydnQkICGDTpk1mp8ELglA3nD59mujoaMaMGUOrVq0ApIJAAHt7e+nABeHREEmzmjh58iSBgYH07t3b7Mw9U/IsLi7m9OnTNGjQgNTUVEaOHMnq1atFdw9BqKM0Gg1Tp07l+vXrrF69Grlcjl6vl9rvmZZ2/v3vf9OhQwdLh1triPF6NaDX65kzZw5ubm5So3R4kDATEhL45ZdfOHToEE888QS3b99m7dq1ImEKQh22a9cuunTpwrx584D7a5tyuVxqlVlYWMju3btxcnISs1CPkBhpVgO3bt1i/PjxODs7o1AozM7Qu3LlCqtXr2b8+PHcuHFDVL8JgoBGo2H+/Pm4u7szc+ZMaWQJ92+2NRoNS5Ys4dlnn2XChAkWjrZ2ESPNaiAyMpLly5ebLdSbpmTXr1/PkCFD2LJli0iYgiAA95dzpkyZwpQpU8xutE0322fOnMHb25uZM2f+nzNSWq2WsrIy6cBq4T8TI81qwMbGhq5du+Lk5GT2eFZWFgAbNmwQ0yuCIEjmzZvHnTt3+PDDD6VEafpaUVHBxYsX6dmzJyEhIZSUlHDt2jViYmIoLi6mrKyM3bt3S81P8vLyOHDgAE8++SRqtZpp06YREhKCs7OzpS+zWhJJsxq4cOECjo6OKJVKsxZ4iYmJ2NjY4O7ubuEIBUGoLoxGI5MnT+bu3btmj5mmaK9du8bNmzdxd3enf//+HDlyBDc3N2xsbDAajQwaNEg67ahBgwb4+vqi1WpxdHRk9+7dODs7M2jQIMaPH8+ECRMIDQ0VN+2ViKRZDTzxxBOo1eqHKmZ9fHzElKwgCGZu3bqFl5eXdIpR5b3bAPXr16dp06YYDAYaNWrElClTCAoKks7bVSgUtG/fHo1GI52C0q9fP4xGIx988AGlpaUolUq2bNnChg0baNy4sXRcoEieImlWC9evXycyMpIOHTqYrWvKZDICAwMtGJkgCNXNoUOHmD17Nl988QVK5f2P8KKiIlxcXJDJZPj5+fHKK6+YHWz9x8OuFQrFQ4fWmz57VCoV77zzDvb29vz6669YWVmxf/9+1q5dy65du+r8tK0oBKoGPD09cXZ2lk4oMblx4waRkZEWjEwQhOpmzJgxXLx4UVrOAaQ9mZULgip/lphGo6bD5nU6HZcvX+b69etcvnyZ8+fPk5eXJ+3zVKlUyOVy+vTpQ/fu3Tl+/DhRUVG89tprUq1FXSWSZjUQGhqKRqMxm2YxGAx4eXmxc+dOC0cnCEJ14ubmxttvv01eXp70eeHq6oq9vT0pKSkYDAZ0Oh35+flotVoqKiowGAwYjUaUSiUGgwGZTCb1uQ4KCqJVq1ZERkayZs0a3n33XbRaLXq9Hr1ej1wup3Xr1nz44YesX7+esLAw7t27Z+FnwXJEw/Zq4LfffuPVV19l7NixUts8o9HIyy+/TP/+/fnpp58sHKEgCNVJcnIygwcPpm/fKRZ21gAAIABJREFUvrRq1cqsgNB0822abv3j1GzlryYymQy9Xo9Op+PatWtkZGRw5swZhg8fTseOHaXDrM+cOUNaWhoFBQUcOHAAT0/Pqr94CxMjzWogJCSE8+fPs23bNrNplIqKCuzt7S0dniAI1YyPjw9du3Zl1KhR3Lp1i/LycmkEWfkw+j8WCun1epKTk0lLS+P27dukpaWh0+nQ6/XIZDKsrKxo06YN/fv3p0uXLuzbt4/ffvtNSsLdunVjwIABODo6smrVKtRqtYWfiaonCoGqARcXF9zc3MzuDFUq1UML9YIgCHC/Anb9+vVkZGQwe/Zs4uLi+PDDD1GpVCiVShQKBSqViuzsbNRqNdu3b+fu3busXLmSTz75BJlMJjU0aNeuHQUFBUyePBk7OztsbW1RKpUMHDiQQYMGcfLkSb788kumT5+OSqXCxcWFsLAwlixZQmlpKStXrrTws1G1RNKsJrp168bZs2eBB+dkuru7c/HiRUuGJQhCNebt7c2vv/7KRx99xPTp0/H29kapVOLj48PRo0fx9/enSZMm9OnThzt37tC/f3+++OILAgICUCqVZGdnc+DAASIjI/nwww9RKBQ89dRTNGnSBDc3N4xGIz179sTJyYkLFy7QuXNn5HI5Hh4eDB48GJlMxqlTp+jWrZuln4oqI9Y0q4nx48ezY8cOVq1aJZ1ysmfPHiIjI7ly5QrBwcGWDlEQhGrMaDRy6dIlbt68iUwmY9y4cVy/fp0WLVr8x7M0NRoNkZGRvPvuu0RHR9O8eXNefPFFVCqV9LMNBgOnTp2iR48eUiOF999/n4kTJ/L+++/XmT2cisWLFy+2dBDC/Q3LN27coGfPntIL3NfXl5SUFPLy8hg8eLCFIxQEoTqTyWR4eXnRunVr6WxNd3f3/yqZKRQKmjdvzvTp0/H39yc1NZXt27djZ2dHw4YNpXVSDw8PdDqdtD80ODiYzz//nG7duuHr6/tYr6+6EIVA1UR5eTnp6enSor1pXfOJJ55g9erVHDx40NIhCoJQy8lkMiZOnMjmzZvp2bMnmzZt4urVq9LnkqkVn16vB0CpVFJRUcGhQ4csHHnVESPNasLBwQGtVou3t7d0aoFcLqdZs2ZcuHABOzs7AgICqFevnqVDFQShlrO3t2fs2LE4OzuzbNkycnJyCA4ORi6Xo1KpyMvLw87ODisrK/z8/Ni2bRuzZ8+WRqC1mRhpVhOFhYVs2LCBjRs3UlJSAjyool20aBGRkZH06tWLO3fuWDhSQRDqAplMxrx581i4cCHp6elkZ2dLRYqVT2Rq2LAhnp6e/PLLL5YKtUqJpFlNtGvXDkBqxAyY7bsaOXIkWVlZdOvWjS+++EKaHhEEQXic3njjDRwcHPj6668BpP2cps8gKysrrl27xq+//mrJMKuMSJrVhIuLC4cOHSIsLMysg4fBYEAul+Pj48NHH32ETCZj+/btFBQUUFBQYOGoBUGo7eRyOTNmzCA/Px+dTic9XlFRIc2GTZ06VYw0hap3584dFixYYDY9m5ubi06nQyaTYW9vz1tvvcVzzz1H586dCQwM5Nq1axaOWhCE2m7UqFGUlZVJy0OVuw3B/f2i3t7eZGZmWjLMKiGSZjXy7LPP0rVrV5YtWyaNMN3c3KRWV/DgrM2xY8eSk5PDCy+8wPr16ykrK7Nw9IIg1FZeXl74+/tTUlIiJUqdTmfWnm/fvn3ExMRYMswqIZJmNWJlZcXzzz+PnZ2dWdPlRo0aERcXx6VLl6TtKD4+PqxatYrg4GDWr19Pp06dyM7OtvQlCIJQS8nlchITE4EHS0dw/0be3d2doUOHUl5ebskQq4RImtXMpEmT+Omnn1i+fDnFxcVS4mzdujXNmjWTjvuB+y/iNm3aEBoaSkhICOHh4SJxCoLwWLi6utKgQQPp9yqVyqxxgp2dnUiaQtVTKpW4u7vj4eHBxx9/LL0ITWuarq6uKBQK9Hq9NDXSuHFjQkNDCQ8Pp2XLlqSnp1vyEgRBqIVSUlLMztG8e/eu9Dmk1WrZsWMHycnJFoywaoikWQ2ZDp8ODg6mT58+5OTkoFarpalZuVyOQqFAq9WandTu4+PD+PHjWbx4sdiSIgjCI6PX62nevLl0tqZMJkOtVqNQKKQK2nHjxtG8eXNLh/rYiaRZTTVq1Ihjx45hbW3NN998w/z580lISJBOYDe9UE2L8UajESsrK7y9vZHJZKLtniAIj4zpxt3Kygp4cNC1aV3TYDBw4cIFqfK/NhNJs5pr3rw5P//8M5MmTWLDhg28/PLLUo9auL+uUHmLipOTE5GRkSxYsECMNgVBeCTu3bvH+fPnuXXrlpQwY2JipGr+O3fukJiYiIeHh6VDfexE0qwBgoKCWLduHceOHaNt27Zs3rxZKu2WyWTY2tqSlZUlFQ1Nnz6d9957r84c1SMIwuN17949unfvTtu2bZHJZOh0Onx9faU95O7u7gwYMAAfHx9Lh/rYiaRZg7Rr146oqChatmzJt99+S35+PgaDQVpXgAfl36+99hpr1661cMSCINQGaWlpFBQUSOdrqlQqOnXqhEqlQq/Xc/v2bdasWUPLli0tHOnjJ5JmDaNSqdi9ezfu7u58+umn0qK8u7u79D1GoxEXFxdKS0stGKkgCLXFtWvXiI2NNavaN205uXHjBp9//jkbNmywcJRVQyTNGsjKyormzZuTm5srvYABaa2zqKiIq1eviq0ngiD8bTqdjj179jBkyBC++OILWrVqJd2kw/1ZLb1ej1KpJCIigtdff93CEVeN2n/4WS1TUFDAkSNHOHPmDAMGDJBewHq9XqqcdXR0ZObMmXTu3NnC0QqCUNMYjUYOHjzIli1b2L59O4MHD2bkyJGEhoZKZ/0CaDQaoqKi+PHHH7l06RJ2dnYWjrxqiJFmDVBRUcHu3btZvXo19evXZ8KECXTo0IGhQ4dK1WumSlnTC/rrr7/m6tWrlgxbEIQa5sqVKwwaNIjBgwfTpEkTpk6dyqBBgwgLC5MOmJbJZFRUVPDRRx+hVCo5ePAgrVu3tnDkVUeMNKsxnU7H9evX6d+/Py1atKBhw4YMHz6cdu3aUb9+fbPvvXHjBsHBwVLzg+3btxMYGGihyAVBqEmys7OZNGkSSqWSO3fuMGHCBLy8vHjiiSeA+y07TTfkpi0mmZmZDBw4kPDwcEuGXuVE0qym8vLyeO655+jSpQutW7ema9eu0gsYHpx2otVqSU9Pp2nTptL+qby8PD799FMuX75swSsQBKEmGDp0KC+99BJXrlxh8ODBREREmP25RqNBoVCgUCgwGAxER0fz/fff8+OPPzJs2DALRW05Imk+Bnfv3iUzM5OtW7eycOFC/vWvf9G4cWM6dOiAt7c3jRs3xtbW9v/8Gc888ww5OTlUVFQwevRo5PIHM+mm6diSkhIOHz4s/bnBYOD8+fN89913bN26tc6sMQiC8NeZOovl5OTw008/sXDhQgCzJZ+kpCT8/f2ltcysrCx+/PFHQkNDGTp0qIWvwDIUixcvXmzpIGqT1157jTFjxtC2bVvWr19P48aNWbhwIYcPH6aoqIjFixdz6dIlvvzyS1JSUrC2tsbV1dWsPVV8fDzdu3fH2dkZNzc3s8Nei4uL2bhxI3l5ebRo0YKWLVsil8ulgqATJ05QUVHBJ598go2NjcWeB0EQqq/c3Fy6dOmCTCajXbt2eHh4mB0sbVoaCgwMNNsHnpqaytmzZ4mMjMTZ2dnCV2EZYqT5iPn4+NC7d2/0ej2vvvoqubm5rFq1itzcXFxdXenSpQvp6en8/PPPFBcXc/HiRQ4fPsxTTz1FYGAg9erVY9asWbz11ls0atQIuJ9I09PT+fTTT+nVqxfTp083S5R6vZ6Kigqsra3x9fXlyy+/rLMvaEEQ/jOFQkFQUJB0M175xjw9PR0vLy+pRgLufwadPHmSnj17EhcXJ3021UUyY+WNfsLftmDBAoqLi+nUqZO0BlC5jZ1pKsR0Fwf3jwHTaDQcOXIErVZLZGQk7u7ulJaW8vbbb+Pq6orBYODs2bPcuHGDZ555Bmtra7MXMkB8fDwrVqxg6tSpLF682GztUxAE4Y/Wr1+PTCZDq9Wa9Y+1s7OTZrcAs+Kf+fPnM3v2bJYtW2bJ0C1OJM1HoKKigqlTp5KVlcXo0aOlF6FpXcD0e7lcjlwuR6/XS7+G+ycE6HQ6MjMzsba2RqfT4eXlhVwu5969e1hbW+Ps7PzQC/nChQsUFhZy6dIlevXqxXvvvYeXl5fFngdBEGqG9u3bExISIu3lVqvVfPXVV8ybN++hz5lNmzbRrFkzFi1aROPGjS0Wc3UhpmcfgR9++IG9e/dKTdINBgNRUVGcO3eOESNG4OPjg1qtRq1WY29vT15eHg0aNEClUkkjUIVCwRNPPCElUlOiNZ0aUHn6JCYmhujoaORyOU2aNGHv3r1ie4kgCP+1s2fPsmfPHnJzc6XPn8p7LY1GI8uWLcPa2pqJEycSGBgoEub/J5LmI5CYmIhKpUKpVEqjy27dutGzZ09pcd3GxkZKeqaq1tzcXKKjo2nWrBl6vZ5GjRpJa5WVp3NNX/Py8jh69ChKpRJXV1c++ugjgoODLXnpgiDUQE899RQnTpzg/fffl2bB4uPj6devn/Q9BQUF9OnTh9dee82CkVY/Imk+Ardv32bSpEkA0l2bKVmaDmk1deypXMDj5uZGeHg45eXlXLt27aG1SNP6Z3JyMjKZjJs3b6LValm4cCFhYWFVdn2CINQuU6ZMISgoCEBqiFKvXj2z75kwYQJubm6WCK9aE2uaj4CTkxMODg68+eabKJVKs4T5008/YTAYKC0tpbCwkMGDB+Pn52fW9LhyBRs8WEu4evUqZ8+e5cKFCxw9epS7d+8ybtw4qZ2VIAjC35GamkrTpk1ZuHChtAQUExNDo0aNcHV1BeC7775DrVZz6tQpS4Za7Yik+Q+VlZXRsmVLunXrRrdu3aTjcoxGI4cOHWL37t14eHgQFBREamoqFRUVFBcX06NHDyIiIv40ARYVFbFjxw4aNGjAO++8g4eHh1miFQRB+KfCwsJITExk4cKF0k1+amoqvr6+wP3WnEePHuXKlStmzVXqOvFM/ENZWVncvn0bR0dHqWuGwWAgLy+PvXv30qpVK+7du8cvv/xCYmIi0dHRLFmyhLKyMj744ANWrVqFra0taWlpHDhwgKKiIjp06CBVs3Xu3JnGjRuLhCkIwiM1fPhwvL29MRgMUu1EaWmpNNPl5uZGcHCwOJf3D0TS/IcKCgoAOHPmDGq1WlofsLW1Ra/XM2DAALPv9/DwYO7cuRw9epR33nmHrl278uyzz6LVajl//jxKpZLevXtz+fJl6Y5PEAThURs+fDhFRUUkJSVJjxUXF6NWq9FoNGzevJlt27aJG/Y/EItj/5CNjQ3Dhg2je/fu2NnZSfszTf63F5xCoeCFF17ghRdeAGDp0qV89NFHZn8uCILwuPj7+0tFiAEBAchkMjp27CidaNK7d2/Ky8tFD+s/ECPNf6iiooJjx46RmZmJRqPBYDBgMBhQKBTUr1+fqKio/+rniCQpCEJVKywspKKiQvp95X3iWq2Wl156Saxn/oF4Nv4hV1dXSktL+eqrrzhx4gRqtVpa22zYsCFXr16lqKjI0mEKgiCY2bVrF+Xl5WaNUUzrm6Ybf1PLT+EBkTT/IU9PTwCCg4Pp0aMHKpUKrVaLXC6ndevWaDQaNm3aZOEoBUEQHigrK+Oll16iX79+tGnTxqz1p9FoZOfOnaxbt44OHTpYOtRqR2w5eQQ+/PBDNBoN7u7u0rmWpmbsq1atwsrKipiYGLGgLgiCxen1evr27StV5pvWMOHBtOzu3bu5desWiYmJYnr2D8Sz8QicOXOGZcuWkZOTIyVGrVaLUqmkRYsWpKamsnfvXgtHKQiCANu3b6ewsFDaU16Z0WgkOzubjIwM1q5dKxLmnxDPyCMQERFBaWkp9vb2yGQydDodCoUCuVzOgAEDsLa2ZunSpYhBvSAIljZ27FgmTZpEo0aNzKZl4f6aZmFhIXK5nO7du1s40upJJM1HoHv37iiVSqKioqQF9JKSEjQaDUajES8vL86fP09kZKSlQxUEoQ4zGo2cPXsWg8HwUAtPo9HIb7/9xsqVK9m0aRO2trYWjrZ6Emuaj4DpCC8vLy+mTZuGlZUVubm5VFRU0KBBAwAOHDhAenq6dKSXIAiCJbi7u9O5c2eGDh1q9vi9e/eIjIwkLCyMDz744C//XKPRSGFhIUVFRTg5OWFnZ4eVldWjCrvaUCxevHixpYOo6WQyGb6+voSEhEjN2m1tbdHpdDg4OACQnZ3NqVOnGDFihNQgWRAEoaqZlo48PDykNU2NRsMXX3xBfHw8RUVF0lY5X19frK2tpb+r1+u5cOECp06dYv369ezcuZPLly8zZswYvvnmGy5dusSaNWtIT09n0KBBKJVKMjIysLW1fegUlZpKjDQfkUuXLtG+fXvmzp1LixYtMBqNJCcn4+Pjg1KpRK/Xc/LkSSoqKvjxxx8tHa4gCHWQVqvF2dmZ0NBQRo4caTZFazAYKCsr49y5c6Snp/P7778TGBiIvb09zZs35/r16xiNRm7dukXTpk2JiYlh1KhRNGvWjMOHD9OtWzf8/PwA0Ol0HDlyhIiICN555x2Ki4sJDQ3l448/plOnThZ8Bv45kTQfEaPRyPDhw7l48SL/+te/sLGxQa/XU1JSgpOTEwD/8z//w9mzZ4mLi6NZs2YWjlgQhLqmpKSElStXolAozEZ+fzzwXqPREBsbS25uLhcuXKCgoABbW1uaNGlC3759qVevnjT1WvnvVq7GNTVJuHv3LikpKezfv5/vv/+ePn36oNfra+wRhyJpPkIHDx5kyJAhLFmyhPr16wP3X6R2dnYoFAr0ej0bN27kq6++EpuGBUGwmC1btlBaWvpQ9awp8en1eul7/5gMKydJQPr7f7Z95Y/f6+joyIYNG+jatSvvvffe477Mx0JUpDxCAwcOpH///nz33XfA/ReXg4OD9MKRy+V07NiR8PBw1Gq1haMVBKEu+vzzz/mzUhaj0YhWq5WSnFwul/4DzJKk6avp10VFRajVarRaLfn5+URHRxMVFUVaWprUik8mk5Gfn8/t27f56KOPSE1NrYKrffRE0vwHjEYjubm5aDQali5dSlJSknRqQOWejcXFxdKvAwMD2bZtm2jQLgiCRXTu3JmQkBCsra3NRpgKhUJqeFB5dPlnSfKPI0hnZ2dsbGxQqVS4uroSEhJCt27dcHR05O7du2RlZUnb8V566SWefvppZs+eXSP3rtfMSeXHJD8/H41Gw+nTp3F2dqZx48bUq1dPWpM0Go3cuHGD3bt389tvv/Hll18SEBBATEwMb7/9Ni4uLly8eJHg4GCzBXbTqNL0wly+fDkeHh60b9/eYtcqCELd1KVLF3744QdKSkqYPXs2zZs3x8bGBnt7e/Ly8nB2dkan06FUKomPjyctLY3y8nISExOpV68erVu3pkGDBmRkZNC+fXvpgIrKSVShUKBUKlGpVDg6OmI0GtHpdFhZWaFQKFCr1URGRpKQkFDj6jvEmiZw/vx5kpKSWLRoEXPnzuXFF1/Ez8+PkSNHkpKSQlJSEjY2NiQkJODj48OVK1eYMGECPXr04O7duzRo0ECafq3MlDhv374tHSidmZnJ4sWLuXTpEm3atLHE5QqCIFBUVISfnx9jxoxh7dq19OnTh19++YW5c+fy1VdfERQUJM2aDRw4kOjoaACysrIICwvj+PHjKJVK9uzZw4YNG1Cr1XTo0AG9Xo+zs7O0NAWYDSLgfnXt4cOH6du3L+PGjatR2/BE0gQ++eQTvvzyS2bOnImTk5PZHVNJSQmnTp1CpVKRkZFBREQEDg4OWFtbP/SC+LOF8LKyMmxtbc0W2NPS0liwYEGt2bckCELNpNfryczM5MKFC5SUlJCUlETnzp05ffo0AQEB0n+urq7S3ykvLyctLY2YmBguXbrE+++/T69evYiLi6NXr17s27cPR0dHRo4cSVpaGv369cPOzu6hz8vCwkKWLFlCy5YtOXr0qDSjV93V6aR5+fJlNm7cyNChQ0lKSgLM74j+eHdk8r89XplpukIul0vfbzAY6N69O8HBwY/+YgRBECzMaDQSFxfHrVu32Lx5M3v27GHevHn8/PPPdOjQgU6dOqFQKJDJZBgMBlJTU/nll1+wt7fn8OHDNaLWo04nzWnTprF582ZWrFiBUqn8XxNh5QVxUwKsqKigrKyM7OxsUlNTSU9Pp127dnh7e+Pi4oJSqXxoIX358uUolUri4uKq5gIFQRAsKCcnhzt37jBq1ChSUlIICwtj7NixZp+NpmYJ06dPt3C0/506mzSLi4u5du0a0dHR0p2PTqcjOztbmkZVKpXY29tjY2MDQGJiImVlZdy6dYvffvsNlUrFqFGj6Nixo7Tw/cdNwgC5ublotVr69u1LSUkJAwcOtOSlC4IgVCmj0ciwYcNISUlh+vTpZj1pTSPOI0eOcP78+Wp/7nCdrZ69ePEivXv3Zvny5VJ/WKVSiZeX10PTr6Yk6OnpiZ2dHcHBwYwePfpPF7lN07ClpaUkJCQgl8vR6XScOHGCN998E5VKVfUXKwiCYEEymYzWrVvz888/U1JSgouLC/DgszUuLo6LFy9y+fJl2rZta+Fo/291NmlaWVkxZswYbGxs/rTDRWWmqlgXF5c/vQsyfX96ejqFhYWkpKSwd+9eevbsiYuLC//zP/8j7WESBEGoiwICAggJCcHR0RGFQoFGo0GhUKBQKBgwYADl5eVERUWJpFldpaSksHPnTjp37mzWA9FgMHDp0iWcnZ2xtrbGyclJqqj9M0ajkfLyco4dO8b+/fvx9fVlwYIFDBkyhDFjxkh3VIIgCHVZkyZNuHLlCjt27OCpp56isLAQV1dXqevQ7du3SUtLs3SY/1GdTZoymQx3d3ezrSMAaWlprF27lqZNmyKXy4mPj0ehUDBt2jR++OEHwsPDcXBwwM3NjcOHD5Oens65c+fYtm0b27ZtY9iwYdjb21vwygRBEKofLy8vAFq2bCl1DiouLqZevXoYDAaeeeYZs2PIqqs6mzSdnJxo166dNPVqmp719vamZcuWTJgwgfHjxxMTE0NSUhJOTk7k5OTg6uqKjY0NLVq0oKCggHbt2tGwYUPOnz9v4SsSBEGovkyzbiUlJcD9rkHJycm4urpiMBhYt24dSqWSf/3rX5YM8z+qs0mzvLycQ4cO0b59e3x8fKTHFQoFbdq0ITo6mjfeeEPq5APw/PPPm/2MiRMnVlm8giAINZmtra3UmhTuD1SaNGkizfT169ePiooKS4b4X6mzDdutrKwICgrCzc3N7Hgcg8FARUUFu3btIiEhwdJhCoIg1ArW1tYkJydz48YN9Hq91MDdaDSiUCg4c+YM9+7ds3SY/1GdHWlaW1sTGxuLTqcz21epUCjo27cv9evX58aNGwQEBFg6VEEQhBrPVHBpOsDCaDRKLUZ1Oh29evWiadOmlgzxv1JnR5p2dnZ06tRJanOn0WikClmFQsGuXbvYunWrhaMUBEGoHUxTr/7+/tIJKKbBSnJyMl9//TWOjo4WjvI/q7NJE+DcuXPExsZK0wSFhYXA/W0nERER3Llzx8IRCoIg1A75+fkMGzYMPz8/6TFTN7bS0lKMRiO9evWyXID/pTqbNFUqFR07dqRly5ZSBW1ycrI0XRsdHc3p06cpLS21cKSCIAg1X05ODnv37iUjIwODwQA8ONji8uXLTJ8+vUacrVlnk6aVlRWXL1+mrKxMOo0kJydHGnU+++yzDB8+nNu3b1s6VEEQhBovPT0dV1dXPDw8pIGKqc+3RqPB3d292vedhTqcNE2nmuTn50unihcXF0tH0xiNRvbs2cP169ctHKkgCELNp1arKSgooEGDBtJjZWVlrFmzhvz8fF577TULRvffq7NJU6VSodPpKCwsxGAwIJfLKSkpkSpp69WrR8+ePcnOzrZ0qIIgCDXe1q1bsba2xsrKCplMhkwmQ6FQcPXqVUJDQ2tEERDU4aTp5ORE3759adKkidQ02N3dnbKyMvR6PQUFBZw4cYKbN29aOlRBEIQaLSUlhT179tCwYUPpMaPRyK5du+jevTtvv/22BaP7a+p00iwsLESj0Ujz6DY2NqjVauRyOfb29oSFhZGYmGjhSAVBEGquoqIihg8fjq2tLcOGDZMeNxqNnDhxgoCAAJo0aWLBCP+aOps0HRwcSExM5NChQw+dhQn3p28dHBy4c+cOer3ekqEKgiDUSLm5uQwZMoTY2FhmzJhBQECANEi5efMmRqORhQsXWjjKv6bOJk2ZTEbLli2pX78+BoMBmUxGjx49iI2Nlf7cx8eHmJgYfv75ZwtHKwiCULNER0fTsWNHTpw4wSuvvELjxo3NWpbu27ePQYMG4e/vb+lQ/5I6mzQBFixYQGZmplT+rFKpiIuLk/ZqNm/eHEdHRxYtWkRxcbGFoxUEQaj+CgsLmTVrFl27dkWpVDJlyhT8/PyknQmmkWZ+fj6dOnWyZKh/S51Omu7u7rRo0ULadiKXy+nWrRtw/3+stbU1b7/9NlevXuWNN95Ap9NZOGJBEITqKSUlhXnz5uHn58fq1avp06cPkyZNokOHDhgMBrMe3xcvXmT48OG8+uqrlg77L5MZTQt6dZBOp6Nx48a4uLgwa9YsqeP+8ePHCQsLk/4HZ2dnc+rUKVq3bs3HH39s6bAFQRAeC51OR25uLmq1Wjo/2N7eHhcXF6ysrNDpdGRnZ3Pnzh0yMjKIj4/nxo0b/Pbbb9y6dYv69evj4uKCp6cnY8eOlZq0V25aUFBQwKlTpwgJCWHJkiWWutS/rU4nTYB9+/YRFxeHjY0NNjY2UsODpKQkOnbsCNx/Ie3cuZPU1FT1cKKLAAAgAElEQVTWrFlDeHi4haMWBEF4NJKSkti0aRP9+/dn0KBBlJWVMWDAAA4ePEhISAhWVlacP3+ewMBAiouLSUtLQ6lUotPp8PX1JSMjAw8PD0JDQ2nZsiXOzs7odDpUKpXZ0V9wv6/3nj17OHfuHHFxcXh6elr46v+6Op801Wo13bt3x8vLi4EDB0p3Rvn5+dy+fZuQkBBkMhkGg4GvvvqK0NBQPvnkE+zt7S0cuSAIwt+XlZWFRqOhX79+xMfHM2fOHBwcHNBoNNSrVw8rKysqKirQaDScPHmSoKAg4H6Pbj8/Pxo2bIi9vb30+WhlZQXcH1VqtVq0Wq109JdpZ8KxY8fo2bMnXbp0oXPnzpa8/L+tzidNgKioKMLCwnjxxRdp1aoVcP+O6NChQ3Tp0gVXV1eMRiN6vZ7PPvuMMWPG8MEHH1g4akEQhL/nypUrjB49Gm9vb0aOHImtrS3An/Z+NSU9E71ej9FoRKVSSeuUpq5qpp0Ipu83FVlqtVo+/fRT2rZtS7du3ViwYEEVXOXjUacLgUxCQ0PZvXs3O3fuJCMjQyoKGjhwIL/99pv0wpDL5SiVSvbt20d+fr6lwxYEQfjL4uPjsbW1pV27dowYMQI7OzvpXGGTyknS9GvTn5s+D027DEyjSNN+dtNnpakZ+507dzAYDOTl5TFmzJganTBBJE3J0KFD6dy5M++++650ILVMJqNt27bs2rVLupOaM2cOt2/f5vPPP7d0yIIgCH/ZzJkzefLJJ+nbt6+0zGSaSSssLESn0z004jRVv5qYzsGs3EPW9JhpJBofH89rr71GZGQk169fJyUlhXHjxlXptT4OImn+f3K5nI0bN9KqVSt+/vln6Q6qYcOGFBQUSC8ahULBxIkTKSoqEp2CBEGoUbZu3UpAQADPP/888GD0eOrUKZKTk3F2dkapVJolxMojR1OCNH01Go1oNBoMBgMGg4EzZ87w66+/smDBAmmv+7vvvstXX32Fi4uLJS/9kVFaOoDqxNXVlVmzZjFr1ixat25Ns2bNkMv/H3vnHdhUuf7xT9Ik3S2dlA5oC4UKZbbsMgrIECyoTL2AeJWfioKLKlyVoQwFr4oIKPeiskEQGbJBhsgsUHYL2EkLLS2lO+vk90dvXhtxM1Lg/fwDOUlznpPknO95nvcZalq0aEFSUhItWrQAKpOHPv30U/r37y/qOiUSiaS6k5ubi16vt0nQ2bhxI7Vr16ZevXo2HXuqYo20WUVSp9NRXFzMDz/8QGpqKleuXMHX15esrCzc3NwYM2YMQ4YM4YMPPrgrZmT+FWQi0C9QFEWMBevTpw8qlYrCwkLef/99JkyYgFarxWAwsGzZMrp3786kSZPsbbJEIpH8IVlZWYSEhDBixAhat26NSqUiLy+PGTNm8N577wnBNBgMfPXVV2RkZBAdHY1Go2Hbtm00bNgQHx8fdu7cySuvvMLMmTMJDQ3FxcWFjh070rhxY3r16kVoaOg9J5RVkZ7mL1Cr1SxcuJBVq1ZhNptxcHDA3d0df39/kSDk6OiIRqPh4MGD9jZXIpFI/hTp6ek899xzNG7cWAjkypUrGTRoEPDzuqa14UBcXBxt2rTBbDbTsGFDNBoNAQEBtGvXjh49etC9e3datmx5z4Rd/yxSNH8FFxcXFi9eTIMGDfD19UWtVvPQQw9x5swZmjdvjkqlomfPnnz99dekpaURGhpqb5MlEonkd7FObrKWgQBkZ2dTv3598Xjz5s0UFRVx9OhRUZcpsUUmAv0KXbp04fnnn2f27Nmi7qhevXqkpaWJeL9erycpKYkdO3bY21yJRCL5QzZt2sRHH30krmEWi4Xi4mKb9U2DwUDnzp2lYP4O0tP8FdRqNdHR0SxevJjy8nLR9aJWrVoiRBsUFISHh4ccUi2RSO4K4uLiKCgoEFmwAA0bNhT/V6lU7Nu3774Lt/5VpKf5Gzz++OOEhISwf/9+sS0sLEyUmVgsFl5++WWCg4PtZaJEIpH8aawzLPV6vdjWsGFDm2zZAQMGUFhYyL/+9S97mVntkaL5Gzg6OhIYGCh+YCqVCn9/f65cuSIaH+zcuZOZM2fa2VKJRCL5Yzp27EirVq3YuHGjuIZ16NCBc+fOAZXXuNatWxMfH8+CBQsYMGAA+fn5dra6+iFF83fo37+/6DsLlT8qa0N3gNatW4tetRKJRFKdUalUNGzYkGbNmtnUYYaEhIiWeCqVio4dOxIdHU1SUhKPPvooO3futKPV1Q8pmr+DTqdj4cKFNp1/jEaj+L+iKOzatYuKigp7mCeRSCR/iYSEBJYtW0Z2drZIcvTw8MBsNtu0yuvduzejR48mKyuLefPm8cknn9jZ8uqDFM3foXHjxri7u9usATg6OgKVd21+fn4EBgZSXFxsLxMlEonkT+Pk5MSWLVuYNWsW+/btE96lo6Mj5eXllJSUiHahWq2W1157jVOnTjF69Gh27dp1Q6eg+xGHiRMnTrS3EdWVgIAAjhw5wvnz52nQoAFQ6X1aey8ajUYSExOJj4/Hz8/PztZKJBLJH+Pr64ujoyPbt2/HyckJPz8/1Go1Wq0Wk8lESkqK2AYQExNDhw4d+PLLL8nNzaV9+/Z2PgL7Ij3N30GlUuHp6YmiKGKbVqsV/3d2diYnJ4fvv//eHuZJJBLJ3+Kll15i0KBBfPnll2JAhUqlwsXFhUaNGlFQUEBhYSEqlQqtVouXl5do+mIwGOxtvl2RovkHxMfH4+bmhtlsvqGfolarxcPDg/nz58uwhUQiuWtQqVS8/vrrDB48mF27dokB0tbnvLy8uHTpkhiTCNCrVy9WrlxJeXm5PU23O7Jh+x+Qn59PrVq16N27Nz169BA/LmvH/8uXL/P+++/TqVMnVqxYgbu7u71Nlkgkkj+Foijk5OTg5uZG06ZNGTp0KEFBQaJD0NWrV/H09MTR0RGLxcKhQ4dYvHgxJSUlNlG3+wnpaf4BPj4+DB8+nOTkZJvOGdZwRkBAAI899hibNm3i008/ZejQoZhMJjtbLZFIJH+MtbtZQUEBRqORrVu38t1334nMWl9fX86cOSOud15eXhgMBr755ht7m243pGj+CR5++GHatm0rapkA0UVDpVLRvn17Zs+ezY4dO9iwYQNTp04lOjqalJQUKaASiaTaExYWRkZGBm5ubmzYsIGSkhJUKhWKopCfn4/ZbMZisRAWFkZCQgIxMTH2NtluyPDsn2TMmDGsX7+ehIQEEZq1YvVArdtOnTrF999/T9euXfn6668ZM2YM7dq1Q6fT4enpiYeHBz4+PqJ8RSKRSKoDhYWF+Pr60rp1a4YNGwZULlEpiiLGI7Zs2ZIWLVrY2VL7IRu2/0kee+wxwsPDWb16NX379kWn09l4nfCzeEZFRREVFUV+fj4uLi688cYb+Pn5kZeXR9u2bdm/fz+RkZHodDqcnJyIjIzkySef5NixY8TGxhIREYGXl5fdjlUikdx/KIrCuHHjAIiOjgYqr2lubm5oNBosFgtFRUX07t2bTz75hP79+9vTXLshRfNP0rFjR9LT09m+fTtNmzYlIiLihtf8Ujx9fHwYO3YshYWFAGRkZODj40NQUBC1a9fm1KlTFBcXk5WVJVK/CwoKCAwMpHv37uTm5hIbG8uzzz4rRVQikdw2FEXhueee4/PPP2fs2LHUrVtX5G6o1WocHBywWCwUFhaSm5tLZGSkvU22GzI8+xfZs2cPK1as4OTJkzRu3FhMQQfbMG3VZKFf+9eKdcFdpVJRWlrKpUuX0Ov1uLi4MGfOHHQ6Hb169eLixYt8+umntGjR4obSF4lEIvm7mM1mRo4cyalTp/D29qZfv37iOlVQUICbmxuOjo4YDAYmTpzIpEmTGDVqlL3NthtSNP8GZ8+e5bXXXmP//v289dZbVFRUoCgKPj4+qFQqDAaDKAr+I6oKoFVAoVJ4S0pKcHd358CBA+zfv5/w8HDKy8v59NNPadiw4W07PolEcn+gKAojR47kwoULBAUFERsbK3I2SktLcXR0FEMqDh8+zPnz55k/f77okHY/IkXzb6IoCufPn2fu3LmcP3+ejRs3Mnr0aDIyMti4cSMNGjQgJyeHRx55hPDwcGrUqCE8SrPZjFqtxmQyodfr0Wg0Yo3U2vcREKERi8WC2Wxm69atrF27lsGDBzN06FAeeughO38KEonkbsVisbBixQqGDBlCfHw8PXr0EGHY/Px83N3dcXJyQlEUNm3axLp165gyZQrjx4+3t+l2RYrmLSA3N5f9+/fj4ODAqVOnuHDhAl5eXmzdupVTp07h7u7O0KFDqVevnmiEbA1/VE0mKiwsxGg0YjAYqKiowNvbmxo1aqBWq1Gr1ZSVlaFSqcjOzub9999nzZo19OvXz85HL5FI7kbWrFnDE088weuvv07NmjVFiYnBYMDJyUlco0pKSigpKWH79u3s3Lnzvm1qYEWK5m3m7Nmz7Nixg5deeokGDRpQo0YNunTpIrpuwI0lK1DpySqKQlJSEiEhIcJT1el0KIrC4cOHSUpK4qWXXuIf//iHXY5NIpHcnVy8eJH27dvTrl07evToIQTT2i5Uo9GgKArXr1/njTfeoEePHmzcuFE0cb+fkaJ5hzh58iRr165l+vTpNGzYkOvXrzN48GA0Go2of/qliMLP8zutYVu1Wo1KpcJkMvHGG29QVlbGvn37aN26tV2OSyKR3D1YQ60jR46krKyMt99+G1dXV5vMf4vFgslkIiMjgwMHDqBSqfjiiy8ICwuzs/XVAymad5iioiK2bt3K/PnzKSkp4dixYwQFBdGwYUNcXFyoW7cunp6eooetVSx/7Wu6cuUKS5Ysoby8nLVr19K8efM7fTgSieQuISkpiYKCArp06YJWq2XKlCl4eHiI562CaTAY+PLLL4mJieHChQusXr2aGjVq2NHy6oUUTTtSUFDA6dOn2bZtG2lpaRQUFHD58mUSExPx9PSkd+/eJCcnM3ToUAA0Go2omYJKQS0rK+OVV14hKCiIefPm0adPH3sekkQiqYacPn2a1q1b0717d8LDw/H09MTf3x/4WSwVReHEiROUlJTw9ddfM3PmTJ5//nkZkv0FsrmBHfH29qZDhw506NBBbLt27RqbNm2irKyMjz/+mFOnTqHT6Th8+DD9+vWjrKyMPn36iDCti4sLH330ESdOnCAjI8OORyORSKojy5cv5+mnn+aZZ54hPDwcnU5n87yiKGzevJkdO3bQqVMnXF1dSUlJoXbt2nayuHojPc1qTk5ODnv37mXbtm3s3LmTn376CXd3d15//XV8fX1tkog8PT2pU6cObdu2tbPVEomkOnDy5EliYmIwGo3Mnj1btMODnz3MCRMmoNfr6dy5M5MnT6Zx48Z2trp6I0Xzb2INZ5hMpjvWeN1isfDNN98wdOhQAgICeOWVV2zSv/fu3cvy5cspKSnBycnpjtgkkUiqJ6WlpdSvX5/BgwcTGhqKg4MDKpVK1H5bLBY2b95MVlYWEyZMID4+3t4m3xVI0fwTWCwWjh49ire3N+PGjSM3N5djx46xfPlyevbsSWRkJAEBAbi6uqLVaunRowcajYZmzZpRp04dG4/wZjEYDAwZMoRvvvmGxx9/nA4dOog1h4KCAqKioujevfsNIRiJRHJ/sWzZMlxcXMjJyRHNVKyiCbBr1y6WL1/O5MmTeeutt+xs7d2DXNP8Az755BMOHz7MokWLePPNNzl06BDBwcFER0eTnJxMjx49CA4ORqfTsX//ftLT09Hr9SQlJZGdnQ3AiBEjSElJ4cEHHyQyMpIOHToQGBj4p22wivbXX3/NmjVrSElJISIigkaNGtmEZ8vKyujatasUTInkPicvL4+hQ4fSu3dv0TnM6mFaazJ3795N06ZNxWQTyZ9Depq/gTWLbMqUKVy8eJH4+HhCQ0PFOoA11FH146t6J2cymVi/fj0Gg4GYmBjmz59PmzZt2LJlC1A52NrPz4927drRunVrIiMjRY9HRVFITk7m8OHD7Nu3j127dpGSkgJAt27dxN9VDc0qikJCQgLfffcdHTt2vIOflEQiqW4UFRXx1VdfAYib6GvXronSkW+++Ybvv/+eHTt23Nbrhclk4urVqxiNRoKDgwFuWdTNXkjR/BXy8/OJiorCycmJN954A/h50byqUFofV03ZttZUWu/mjEaj6K6hVqvZvn07ly5dokGDBixevBhnZ2dKS0vRaDTiB339+nV8fX3JyclBpVLRtWtX8vPzuXr1KmPHjhVt+Kw/PkVRmDRpEgEBARw8eFB6mhLJfU5KSgpLliwhMDDQpmGBVqvFYrGwY8cONm3aRHFx8S3d7/Xr11mxYgUDBw6kadOmdOnShZ07d2IymdiwYQOxsbE88cQTqFQqwsLC6Ny5M40bN8bV1fWW2nE7keHZX5CVlUW7du2Ij4+nQYMGNk3ToVKgysrKcHBwoKCggJ9++omgoCBcXV3JyMigcePG6HQ6DAYDJSUluLm5Ce/TwcGBDh06CC81NDQUT09P1q9fz549ezCZTLi4uODs7MyAAQOwWCxkZ2fTqVMnAH744Qfxt4BYzC8uLkaj0TBs2DApmBKJhKKiIvLz8/H390er1WI2m8nNzRXLQp6enpSUlDBz5kxee+21P/2+1mvewYMHCQwMxNvbm+3bt3Pq1ClatmzJv/71L9RqNTk5OXTt2pXQ0FBGjRpFcXExP/74I7169cLV1ZXExEQOHTpEamoqe/fupV27djz11FO0a9fudn0ktwzpaf6C7OxsevTowbBhw/D09LyhE88vPU6j0WgzqLWkpIR169bRtWtXIZrXrl0T9VEFBQVioHTVUK7FYkGj0WAymSgsLMTX1xeoXJvw8/MDKlvqWeszrZNS0tPT2bdvHzt37hTNDyQSyf2NxWKhXbt25Ofn8/LLL4ttUNkkxWw2s3nzZpKSknj22WdJSEj4zWvHxYsXWblyJadPn2bp0qU88cQTLF68mCZNmnD58mVyc3NRq9UMGTKE/Px8GjVqRERExA2RuF/DYDCQlpbGrFmzaNGiBS1btmTcuHEEBQXdng/mFiBFswoFBQUsWLAAJycnNBqNTS/YXxsgDZUxe0VRRNmJXq9HrVaLMEjVsK2iKOJ9rl+/LsTTbDaL9UzrY2uYNy0tjTp16qBWq0WI12QysWbNGnx9fdHpdBw/fpwtW7YQEBBwhz4piURS3Xn11Vf5/PPPmTFjhk20DCqvaUajkfHjx1NUVIRKpaJGjRq4ubnh6emJp6cnJpOJrKwsLl26hFqtpn///hQXF9O5c2eKi4upWbOmjdBW3UfVrmW/pOqapvX6WFJSgoODA2vWrOH555/Hz8+Pbt263a6P5qaQolmFNWvW8OijjzJp0iRq1qwJ/CyYqampeHl5ce7cORITE+natSseHh7s27ePmJgYQkJCUKvVVFRUoNfr8fT0RK1WYzabhRdpFU1FUdi7dy8dOnRApVJx8eJF6tati0ajwWAwkJKSQmRkJIqiMGfOHNHK6ujRo4SGhnLixAlWrVqFVqtl9+7dNG7cGDc3Nzt/ehKJpDpx9epVSkpKSEhIIC4uDgcHB0wmkxA0qLzp//LLLwkNDSU9PZ20tDS0Wi3l5eUiz8LHx4fg4GA6duyITqcT+RpVs3F/y6kAxPUTKpe33N3d8fPzE4JbdViFxWJh9uzZtGjRgoULF96BT+mvI0WzCu+99x5vv/02s2bNspkl9/XXX3Pw4EFiYmI4f/48Op0Of39/3NzcOHjwoAirPvjgg+zatQsXFxeeeuopkpKS8Pb25siRIwwYMIDvv/+eyMhI8vPz2bJlC/Xq1SMoKIi9e/fi6OiIq6srubm5AAQHB1NQUEBZWRlubm4MHjyY//znP3h6ejJv3jwOHTrEq6++Wq3DGBKJxL5s3ryZvn378u9//5vCwkJcXFxwdXVFURQROrX+HxBiCAiBtY4p/OUczV8TyaoCCj8LotVhgMouRZs2bcJoNNKtWzf8/f0JDw+3abqQk5NDcnIyy5cvv90f0V9Giub/KC4upm7durRp04bevXuL7VOnTiUrK4tXX32VF154gZCQEPHDKCoqIisri6ysLNLT0ykuLhY9YJs3b86qVatwdnYmOzubjh07snHjRvz8/MSPx9PTk27dupGVlYWHhweRkZFkZWWh0+mIioriyJEj4of92GOPkZaWRuPGjWnTpo1cu5RIJH+KzMxM3nvvPT799FNat27NsGHDMBgMODs7i9f8lthVFb2qS0TWCJper2fPnj2oVCrc3NyIjo5GURQ0Go3I8v/l+1uvfyUlJcyZM4fU1FR69uzJww8/LJalzp07h8ViYdy4cSLqV12Q2bP/49tvvyUvL8+mL6N1IGtwcDDvv/++zetVKpWI/Tdq1OhX3/Pf//73bbdbIpFIfo+QkBAmTJiAWq2mvLycL774guPHj/Pss8+Snp6O2Wymd+/eVFRU4OLiYpNoCD+vOxoMBs6fP4+TkxP5+fls2rQJR0dH0tPT0Wq1GI1GevTowfDhw3Fzc6Nv376sX7+eUaNGCQ/X0dFRCKe7uzsJCQns27ePRYsWodfrGThwICqVigYNGjBq1Ci8vLyYMGGCnT9BW6Ro/o8NGzbg4eFBREQEFRUVODo6YjabcXZ2JiUlhfz8fHx8fOxtpkQikfxl/Pz8mDVrFhaLhS+//JKtW7eSn5/P+vXrgcqQaWZmpo2n6ejoSM+ePTGbzSQmJtKiRQs2bdqEoigMHDiQOnXq8Oyzz9KxY0fCw8PJzs7Gx8cHjUZDWloa9erV48iRI/Tp04c2bdpQo0YNGjduTGxsrMgBUalUtG/fXswEfvTRR0VSZL9+/di4cWO1E00ZnqXyB7J9+3aSk5NtFskdHBwoLy9n48aNjB492iZsK5FIJHc7FRUVXLhwgdTUVA4fPoxer+fs2bPk5+dz7do1YmNjOXHiBMXFxQwdOpTr16/Ttm1bYmNj8fb2/lP7sIZwly5disFgYOnSpQQGBvLyyy/j7u4uPM85c+bQs2dPwsLCUKlU/PDDD+zcuZOjR49WqxCtFE0qv1QnJycGDhxIly5dAGzKO8aOHUvXrl3FXZlEIpFI/jpms5l58+YxefJkioqKmDJlCq6urqhUKgwGA3PnzmXUqFFoNBqMRiNvv/027777Ls8995y9TRfIbBIqRbNTp05ERESI8IS1jyxAo0aN2LNnD3l5efY0UyKRSO5qHBwcGDVqFCdPniQ8PJx33nkHo9EoMnjLyspEwxiojALu37/fzlbbIkWTStHcvXs3p06dEl9WcnKyyAJ79NFHUavVTJ482c6WSiQSyd2Pv78/EydOpLCwkJ07d4pa9iFDhpCXlye6pXXu3Fmso1YXHCZOnDjR3kbYG+sXFhERIYY3Jycni048Tk5OZGRkcObMGaKjowkJCbGzxRKJRHJ307BhQ1JTUwkPD8fT0xOVSoW7uzupqakEBASgUqlwdnYWjRWqlsjYE+lpAs7OzsyYMYPz58+LWqLQ0FD27t0rHo8YMQJFUVi3bp29zZVIJJK7HpVKxeDBg5k2bRpZWVlim7e3NwaDAZVKhZOTE//973+rVYhWiiaVcfZmzZpx8uRJoNLz9PHxYenSpZSWlopQwUsvvcSVK1fYuHGjnS2WSCSSux/rcIxly5ZRWFiISqUiMDBQdBC6cuUKFouFq1ev2ttUgRTN/zFy5Eji4+OByrsdV1dXQkNDWbZsmVik1mg0/PDDD2RnZ9vZWolEIrn7UavVPP3006SmpgqnRavVih63jRo1Ijo6WopmdSQwMJBPP/1UtIcCeOSRRzhy5AilpaXidX379mXt2rX2MlMikUjuKTp06ICXlxc5OTni2mvtQ6soipgcVV2oPpbYmdjYWMrKyjh79ixQ6W3Wr18ftVpNUVGR2Obs7FytvkCJRCK52wkKCqK4uPiGySdmsxlFUcjJybGzhT8jr/7/w9XVlX79+rFlyxaxzZoQVFRUJLrv63Q6vL29f3OoqkQikUj+GrVq1cLf39+mPt4a9UtNTaW4uNjOFv6MFM0quLi4kJ6ebiOINWvWpGbNmuKLzMzMJDs722aQqkQikUj+PsXFxRw/flxMOVGpVDg4OKDRaIiJialWbfSkaFbBaDTi6+trI4hXrlzB09NTPM7MzKxWX6BEIpHc7aSmptKmTRsxCrEqrq6u1WpYhpxy8j8MBgNZWVmi9yz8HFe3LkpD5bSAuLg4e5kpkUgk9xSXLl3iypUr+Pj42AzDhsqZm5cuXfrN8Yv2QHqa/+PMmTPodDpatWoluu5nZGTQtm1b8Rqj0cjFixfx9/e3o6USiURy7zB37lyCg4N54IEHRO6IldOnT3Py5Em8vLzsaKEtUjT/x9dff82lS5fQ6XRi27p162jWrJl4nJubi9FopHPnznawUCKRSO4tjEYjGzZsIC4uDmdnZ+FpWmdtGo1GunbtSuPGje1s6c9I0fwfnp6edOjQQTy2WCycO3dOjK0BOHHiBD4+Pri6utrLTIlEIrln2Lt3L2lpaQQEBAAIT1OlUqEoiogAVp1zbG+kaFL5RR0+fFgk/FgsFoqLi3F0dLRZlD5x4gTBwcH2MlMikUjuKWbMmEFMTAzh4eFCKIuLi7FYLOTm5qJWq3n99dftbaYNUjSBy5cvc+zYMRsP8tq1a7i7u9u8TlGUahUmkEgkkrsV63ziuLg4kUcClVE/g8HAypUrSUpKon79+vY08wakaAI//PADhYWFNp5ldnY2QUFBNq8rKSkhMDDQHiZKJBLJPcWhQ4fYvHkzRqMRqIzwlZaWYjabUavVeHh4EBcXR61atexsqS1SNIHvv/+e+vXro9H8XIFz9OhRIiMjxWO9Xo+rq2u1u+uRSCSSu5Fu3bqxc+dOatWqJZwVq+OSm5vLwYMH6du3r52tvJH7XjQzMzPZt28fbdq0EdtMJhOnT5+mUZm7BzYAACAASURBVKNGImyQlZWFt7c3devWtaO1EolEcm8wdepUunbtKtrlVa2Jd3V1ZeTIkXTv3t3eZt7AfS+akydPRq/XExERIQTyyJEjODs723ShSE5OpnXr1jJzViKRSG4BZWVlv9qOtKCggKlTp7J7924iIiLsYNnvc1+L5vHjx1m3bh19+vSxmVyyevVqRowYIR4rikJAQEC1DBVIJBLJ3UhOTo4IzVrFU6vV4urqyvXr1/nnP/9ZLXt837dt9CwWCwkJCbRp04Z69eoJL/PYsWNERkbahGZzc3PJzc0lKirK3mZLJBLJPUHHjh0pKioSwmixWCgvL2f58uXExMQwfPhwO1v469y3nubGjRvx8fGhefPmwss0Go2sXr2aJ598UsTWy8rKmDx5Mh07diQkJMTOVkskEsm9Qffu3SkpKRHOiXV28cGDB6lfv361bVd6X4qm0Whk+vTpXLx4UaQzWywWVqxYwdNPPy3G0yiKwtSpU+nfvz/PPvusna2WSCSSe4dZs2aRnJwMIITTZDIB8Nhjj9nTtN/lvhTN999/n9LSUvHFWDsAWYdOW7/AtWvXEhISwvjx43F2draz1RKJRHLvcPLkSRwdHcVEE5VKRUBAADExMbz++utkZmba2cJf574TzcOHDzN37lwaNGhAjRo1RDz9m2++YeDAgUCliGZnZ5Ofn88TTzxB06ZN7WnyHWXatGns2LGDkydP2tsUiURyD2M0GsU12NpzVqPRMGjQIEpLS2nVqhXLli2juLjY3qbaoLJUncNyj1NUVESLFi0ICwvjscceE+uWOTk5XL9+ncjISFQqFWazmSVLluDs7MzmzZurVbPgW0lRURFz5szBwcGBwYMHU15ezoIFC9i+fTv9+/cnJiaGtm3byjIbiURyW9i4caONR1k1TLts2TIAPDw8CAoKonfv3vTu3RutVmsvcyttvF9E02Kx0L9/fwwGA507d8bNzQ0As9nM4sWLefLJJ8XrEhMTOXDgAEuWLLmne80WFRXh5+fHyy+/jNFotOl2pFareeGFF+jVqxdz586tdq2sJBLJ3c2sWbOYP38+L7zwgk3v2ar/N5lMXLx4kczMTFatWsXAgQNp06YNL7/8st3sdpg4ceJEu+39DjJ+/HiSkpJo164dfn5+4otZvXo1/fv3R6PRYLFYKCkpYdOmTfTu3ZvHH3/c3mbfFl599VVOnz7NxYsX6dGjBzVq1MDX1xdA1ExZLBbatWvHZ599xuXLl2nYsKF4jUQikdwsV65c4bPPPiMqKgoPDw8AG+G0dgjy9fUlLCyMTp06sXPnTiwWC7NnzyYgIIB69erdcbvvC0/z5MmTNG3alEGDBtG5c2chCj/++CNBQUHUqVMHqPzC1q1bR2ZmJocPH8bJycnOlt96ysrK6NOnD926dcPHx8emRurX7vYqKir45ptvSElJYd++fYSHh9vTfIlEco9gNpt5/fXX6dixIzk5OeKaU1xcjLOzs00vcPj5mmQwGJg+fTpOTk7ExsYyZ86cO7qEdM+L5uXLl3nllVd44IEH8PPzE+uYRUVFHD58mK5du4ov4/DhwyxevJgjR47cs40M5s2bR2ZmJrVr175BJAHRzMHX11eU3uTk5PDjjz+SnZ3N5s2b5UxRiURyS1AUhebNm1O3bl169OghrknWAdRGo5GIiAhcXV1tomCKovDdd99RUlLCzp07bTq63W7u+exZvV5PcXEx3t7eQjBNJhPnzp2zEUy9Xs/y5cv517/+dc8KJlQuvCcmJorHv3bP5O3tTW5urqiZqlWrFq1bt+bMmTOMHj2awsLCO2avRCK5MxQVFQGwZMkS8vPz78g+1Wo1TZs2xcnJSVyfVSoVDg4OREVF0bx5c3Q6HYmJiZw5c0aUpzg4ONCnTx+GDh2KwWC4I7Zauec9zUceeYSGDRsKz0pRFI4cOULLli2FYJrNZsaPH8/YsWNJSEi4o9lZxcXFFBYW3pFuQx999BErV65k+PDh4tjLyspwdnZGrVZjNpsBxI/XOohbo9GgUqkoKipi3rx51K9fnw0bNtyzWcUSyf3EtWvXyMnJ4eGHH+bo0aPUqFGDkydP8uGHHzJixAhiY2Nvuw3Xr18nOjqaoUOHEhAQILZXjYCZzWYSExNp2rSpGCGmKArl5eXExMTQoUOH224n3OOepsVioWHDhuh0OvE4PT2dmJgY8dhsNjN58mSGDx/OP//5zzsmmBcuXCA9PZ2FCxcyYsQIrl27Rs+ePX/V87tVaLVaysrKbLaVl5cLAd20aRNHjx7FbDajUqnw9vbGZDKJx46OjoSEhLBlyxZmz5592+yUSO5FrBGu/fv3U1BQQEpKir1NAmDVqlUMGjSIZ599luXLlzNnzhx+/PFH8vLyGDJkCHPnzr0jdrRo0YI5c+awbt06kpKSKCsrE/WbVu+zVatW6HQ6m0buCxcuZN26dXfERrjHs2ctFgtz586lRo0a1KhRQ2x3dnYWH/qkSZMoKyujtLSUY8eOcebMGX766Sfy8vIAcHV1vWFB+mbZuHEjH3/8McuWLaNFixaEhISQnJyMr68vBQUFHD16lCZNmtzSfaampmIymcRgbWtI2s3NTawHbN26VUxSDwkJwcnJCZVKRWZmJu7u7mi1WiIjIwkLC+Odd96hSZMmPPDAA7fUTonkXiM9PZ1x48YRGRlJZGQkZ8+excXFhbFjx9KtWzdWrVpFixYt7DbRIzIyEq1WK66LVjvq169PQEAAdevW5dNPP6V379631Mbi4mLWrVvHzJkzeeeddzh+/Dj5+fniuuTm5oanpydGo1Fco365fwcHB+bOnUuPHj1umV1/xD0fnh0/fjyBgYHodDqbuxaovPNbv349arWaHTt2EBgYSGZmpghTxsfHs2HDBsLDw+ncuTO1atWiRYsWQuj+zg/o8uXLfPjhh+zatYsRI0bc8B579+5l3LhxNGrU6OYPvgpjxozhs88+46OPPhLh11OnThEVFSU8zZycHA4ePMjmzZt56KGHeOihh1Cr1ahUKhGq1el0ZGdnM2PGDGrWrMmpU6dwcXG5pbZKJPcCeXl5vPLKK4SEhDB//nzefPNNysrK8PLyAsBgMLB//36+/fZbMjMzcXFxuePn0siRIwkICCAoKMgmMdCK9Tqxbds2hg8fzoABA8RUqL/KpUuX+PHHH9m3bx979+7l+PHj1K1bl/Pnz/PAAw8wbNgwjh07RmxsrIgOVl1CsyYmVg3ZGgwGLl68yMcff3zzH8af5J4XTYCKigqmTp1KYGCgzWKz9dDNZjMlJSW4urpy9epV3n33Xfr160fjxo1ZvHgxly5donv37mzYsEEkx0RERFCvXj1atWpFq1at6NSp0++mPRsMBo4cOULPnj1p06YNjz76qLh7+mWZxzPPPHPLs8FWrlzJV199RXx8PFCZtWYwGHB2dsZisXDixAmMRiNz587l3XffZcqUKbi6ujJ9+nRUKhUGg4H8/HxRpqIoCgcOHKCwsJANGzZUy7l3Eok9UBSFlStX8uKLLxIVFcWDDz5IjRo1RA5A1XPFWtZ14cIFdu3axY4dO+7YdA+TycQbb7xBcHCw8DKtjoV16oj1eL744gtOnDiBXq8nLCyM7t270717d7p06WITxatKZmYmO3bsYPfu3Rw7doykpCSgMtGwoKAAFxcXXnvtNby9vYHKCKBer8fBwUHUzZvNZpKTk8nKyuL69esoikK/fv1wdHQEKssJFyxYQEZGxh2rI78v5mmuX7+ed955h8cff5zo6GhxN2f9kTg4OIgv3t/fnwcffJAOHTrg5OTEU089hVarRafTERERwYwZMwgJCSE2Npa1a9eyadMmAP7xj39w+fJlBgwYwCOPPIKfnx8Wi4W9e/eyaNEioqKieOmllwgKCiI+Pt5GtBVFsRHQ6OhoatasyX/+859bVt5RUVHBgw8+KI77ypUr1KxZUzx/8OBBrl69ioODAxMmTKC4uJgPPviAs2fP0qBBAwoLCzlw4AAdO3bEx8cHvV5PcnIyiYmJfPfdd/Tp0+eW2CmR3M1cv36dpUuX8tJLL/GPf/yDmJgYEa0BhCDBz+Lp5OREWFgYy5cvJzs7mxo1aghP63ah1+uJjo7mmWeeERmpVpus16aqI7ueeuopLBYL27dvR6PR8NVXX/HZZ5/RsmVLLBYLPj4+hIaGkpmZSVFREXl5eWKCiaurK507d6awsJA+ffoQFRXFuXPnOHToEL6+vjg6OmIwGDAYDKhUKr799ltiY2PJycnB09MTrVZL165dcXBwwGw224RqY2Ji+Oijj275EtrvcV94mhaLRXzBrVq1wsvLiwEDBojQZNU7QKvLb91u/UFptVpRjDtlyhQcHBwoKSlh6dKlPPLII5w8eZLVq1cDldmnrq6uVFRUoFarMRgMjBkzhrKyMqKiosRCdtVQg9VOKzk5Ofzf//0fFRUVhIWF3fRn4OfnR1xcnCizuXLlCl5eXmi1WioqKnjllVd48803mTRpElAp5J07d2bv3r00aNCAUaNG4eDgQH5+Pt7e3uTn57Nz504SExMJDw/nwIEDchKM5L7m2rVrPPnkk6SlpTFo0CB8fHwA27ZwaWlpHDx4EA8PD7p06SKyQK3PL1iwgLKyMo4ePXrbkxI3bNhAZmbmDaJuxXoz/0sRNZlMZGZmUlhYSEVFBWvWrEGlUnH9+nVUKhWenp6Eh4cTFBTErl27GDNmDDVr1hTXVLVajaIofPvtt6KXbHFxsXBmiouL8fT0/NV9W6NcVns7dux4x/Mq7gvRtFJRUcGmTZvYsGEDKSkpJCcn4+DgwDPPPINKpaJmzZpoNBqMRiMbNmygT58+aLVa9Ho9Op0Os9nMyZMniYqKQqvVYjQaURRF3ClNmzZNDE89d+4cZrOZDh06EBERgaOjIw4ODjZ3csAN/7disVj44IMPGDduHCNGjLip4zYajfj7+9OtWze6desGQGJiIs2aNUOj0WA2m1m5ciUjR45kyJAh4u8yMzNp1KgRgYGBjB49Go1Gw5UrV5g+fTrTpk1DpVJRUVHBG2+8wauvvsr7779/U3ZKJHcrJpOJvn37cvz4cUaPHm0zvUNRFHbt2sXWrVtp3749rVq1wsnJiZ9++gl/f3+b9cQLFy6QmprKk08+ecsTb6pisVjYtm0bqampNtut+1MUhaNHj9KoUSOREKgoiojMGQwGce2w2n7w4EHatm0r3sP6N3q9HhcXlxtySoxGI6dPn6ZJkyZim1qtxmg0Cs/RKtLWm3uVSsX69esJDAzk0KFDnD179rZ8Pr/HfSWaVSksLGT06NGsXbuWoKAgzp49S9OmTenSpQvbtm2joKCAcePGYbFYuHTpEoGBgTg5OVFYWEh+fj5hYWGYzWYsFgtarVb8CLt37w5g8+OoulZQVTQvXryIn5+f6Lv4S8LDw0VI9Wa4dOkSQ4YMoVevXvj4+KAoCocPHxaho5ycHCZNmsTOnTuJi4uz+dslS5awfPlyLBYL9erVw9PTE09PT5ycnNBoNJhMJkaNGoVarWbfvn20adPmpu2VSO4mzGYzffv2JTAwkNq1a+Pr6yu8qZycHBYuXEjv3r1thj9UvVkuLCwUIqsoCpcvX+add94RN7a3g8aNG9OyZUtat24t9mswGMRaodW+8vJymwhSaWkpUBly/WWf2F8m6Vify8jIwN/fHycnJ/R6PRaLBUdHR4xGI1u2bKF79+7CBq1Wy+rVq4mKiiIrK4uAgABWrFhBWVkZZWVlvPDCC8ydO5fBgwcTGRnJG2+8cUdDs3Afi6YVo9HI7t27WbNmDcXFxaxevVrUMkZGRuLq6sqZM2d4/vnnCQkJYdmyZfTp0wd/f3/0ej1arVY0BigtLcXDw8MmxPFra5dVwxxVv/BfiuqxY8eoXbs248ePv6lj3LhxI48//jgJCQn4+vqiKIrInIVKUT1//jyzZs26IQnBYrHwyCOPsHbtWtq3b8+gQYNwdHSksLCQsrIyDhw4gMFgIDExkW7durFkyZJ7smevRPJrWCwWRo8ezdatW3nwwQeJiooSgnnmzBnKy8uJjo62KeX4tSiTNTvUKh7nz59n8+bNJCYm3pbzacuWLSxevJjY2NgbIly/zKKt+rzBYBDrrVanwZq0c+XKFdGqND8/Hy8vL8xmM2vXruWnn37iySefJC8vj++++44ePXqwf/9+jh8/TqNGjWjQoAFr1qyhffv2/PDDDwBoNBoeeughKioqaNSokahiqF279m86GneC+140q2KxWMjIyOD48eMcP36cS5cusXXrVtLT0/Hz8xO1m02aNOHpp58mPT2d8vJymjRpwunTpykvL6dZs2aiRMMal09NTaVOnToinv9rcfpfE1pXV1ecnJzo37//TR3XzJkzGTt2LGPHjiUsLAxFUbh+/Tq+vr6YzWYWLVrExYsXuXz58q+GgwoKCmjWrBm+vr4iISAxMZEffviBMWPGoFarKS8vJyEhgbfeekusi0ok9zrbtm3j448/xtnZmS5duojs/KSkJMLDw/Hw8LhBLHNzcykvLxeDIn4ZiQI4e/YsH3/8MUuXLrVZMrlVHDx4kPLycq5du0Zubq6NHVUTE39JaWkpP/30E40aNeLKlSt4e3vj4ODA4cOHWbp0KREREeTl5ZGXl4ePjw8+Pj42TRysyTxhYWHi7728vOjXrx8FBQU0bdqU2rVrU69ePUJCQm57QtTfQYrmn+DatWvs3buXgwcPsmXLFhITE3n//fdJSEgAoFWrVhw6dAi1Ws1jjz3G7t27yc3NtRHFLl260KZNG9Euz2g0otVqf/WHqlKpMJlMTJ8+naSkJFHX9XeZMGECqamptG7dGo1GQ35+Pm5ubiIUM2/ePB544AGWLl36m++xdetWevfuTY0aNejYsSNxcXHiBNdqtZSXl/PSSy+h1Wo5fvw4DRs2vCmbJZLqTmpqKo0bNyY2Npa+ffsKwczKyqJWrVqi/aT1Env27FlUKhUfffQRWq0WR0dHpk+ffsProPL6sG7dOs6dO8fFixdvW1JQWloasbGxPP744wQGBrJs2TL0ej2DBw8W152qNZI7duxg1apVtG3blgMHDuDp6cm7777Liy++KLJoGzRogI+PD35+fnTu3Jnk5GSCgoIIDg7Gz8+PwMBAfH1979r67vui5ORm8fLyIj4+nvj4eKZMmUJeXh4lJSUEBgZSVFREaWkpsbGx5OXl0aVLF5o3by6aAZjNZo4cOcKePXuIiIggODhYrINaT5QFCxZQXFxM3bp1ad68OaWlpXzwwQcMHToUd3f3m7Z/4cKF1KpVi/bt2wOVYWJrBq+iKDRq1IhWrVr97nt0796dUaNG8fHHH+Pv749Op0NRFJKTk3F0dBTrplu2bOE///kPH3zwgazdlNyzKIrCM888Q+fOnenevbsQzIKCApFQaD2/MzIymD17NjVr1qR3796kp6dTVlbGf//7Xz766COeeOIJMeTd+jcajYawsDB27drF4sWLbzoZ8LcwGo0888wzHDt2jG7dupGXl0dubi6LFi1i9OjRAEIw4ec1zY4dO9K8eXOKiooYOHAgiqLQs2dPIiIiboud1Qkpmn8DPz8//Pz8/nQpSF5eHv7+/mKttGqI9urVq5w9e5Z+/fqRkZEhpokAt0Qwr169SlZWFn369BEiVlpaKkKze/bsYfPmzYwbN+4P32vKlCkcOXKEvLw8rl+/jl6vZ9GiRYSHhzN06FA0Gg2hoaFMmzaNNm3aMHDgwJu2XyKpjnz++efs2LGDuLg4IZB6vV40MbCe399//z3Xrl2jSZMmrFixgsDAQPEekyZN4sCBA/j4+HDs2DGaN28unlOr1TRr1ozatWvzwgsv0K9fv5uOOP0aERERTJgwQTz+6aef+OCDD5g4cSJ6vR4nJycbD7ht27Y89NBDjBo1yuam+MUXX7zltlVX7umG7dUFb29vRo4cib+/v6j7tP4Qs7OzMRgMzJ8/n127dtG7d2/Gjh17y/Z94MABTCYTKSkpmM1mjEYjAQEBqNVqTCYTx44dw9HRkQYNGvzhe7m6ujJjxgzWrFlDQkICb7/9NvHx8QwZMkTcaVvHhiUkJFBRUXHLjkMiqS4UFRVx5coVhgwZIjp7mUwmHBwcbASzsLCQrVu3EhwczJ49e2wEE8DFxYW9e/fi6+vLokWL2LVrl02jAbVaTXx8POXl5Xz66aeiG9ntpmfPniiKInI4oNIDNpvNfPLJJ8yfP/++jiJJ0bwDODg4sGPHDpYsWQLYFhDXqlULf39/9uzZc1v2vW3bNmJiYoiPjxeL8GVlZUJAvby8GDVq1J9O227bti1vvvkmAKGhoTRv3lykn+/YsYOVK1fi4eFBeno6H3744W05JonEnsyaNYuJEyfSrFkzdDodRqNR1BZalzy+/fZb3n77bXbv3s1///vf3xWZIUOGsHz5ciIiIhg7diwFBQUiF6JBgwbMnDmTOXPmMHz48DtyfNaa8oqKihsyfdu2bXtDWdr9hhTNO8Tjjz/OgAEDbmgD5e/vz6VLl1i2bNkt36fFYmHjxo1kZGSIfWq1WmrUqIHZbGbdunUcOHDgL7fAe+utt2jTpg3l5eVAZdOItLQ0Dhw4wNtvv83UqVMZPnw4y5Yt48qVK7f8uCQSe1FSUsKsWbOIj4/H3d1d5CdYGwBYcxTOnz/P1KlTbWozf4+HH36Y/v374+joyJQpUzAYDEI4nZycaNy4McuWLbsjN6LZ2dkUFxfbzMu1WCxkZ2ezYcOGOzJfszojRfMO0aRJE2bPns2JEyfECWFtSNy3b19WrlzJ5cuXb+k+U1JSCA4OZuTIkUBlFtzVq1fFyRgdHU2vXr3+cgG1RqPhww8/JD8/nwkTJrB161bCwsJISEhAo9Gg1Wrx8/Pj5MmTsvxEck/x4YcfkpeXJ5JjqpaKKIrCli1bOHHiBAkJCbz66qt/6b2bNGnCqVOn8PHxYdKkSeI64eDgQHx8PPXq1eO1115j5cqVt+noKtm0aRNarZY6derYNGjJzc1FURRat259W/df3ZGieYew3p2dOnXKZoKAWq0mOjoaR0dH/u///u+G0Tw3w7Rp09i1axfwc9cOb29vjEYjS5Ys4d///jcvvPDC31qfaNOmDc8++yzXrl0T8/is/XlNJpPodvTZZ59x/vz5W3ZMEom9MBqN1K1bl1deeUXUZFpDmHq9noKCAtasWcM///lPcaP6VwkICCAhIYH8/HwKCwvFeatWq3nyySdp0aIFw4cPv23CeenSJWbMmIGHh4fIUwAoKyvDZDKRlpYmyubuV+7pIdTVCTc3N65fv46TkxPBwcHiZFCpVGi1WkpKSti1axdqtZoOHTrc9P7WrFnDW2+9RVhYGN26dRMnnjXksnbtWmrWrMmHH35oE4b5K0RHR/Pdd9/h6upKUFAQFouFTZs2odPpaNKkCZ07d6aoqIj9+/czaNCgmz4micSeWJcyOnXqJMZQWW8Ut2/fzldffcWTTz7JrFmz/vY5BZUt7qKiopg3bx5BQUFoNBp0Oh2urq40adKExMRE9u7dC1TWiN+qpJyUlBRiY2MxGAz06tWLsLAw8d7jxo3j6NGj/POf/7xjo8uqK9LTvIN06NCBxYsXc+jQIbHN2m/x4YcfJjo6mvHjxzNq1Kib8jhnz57N4MGD6dKlC08//bTI6rM2UUhMTKRly5bMnDnzpoqm/f39efTRR1m2bBnz588HoFevXoSGhopU9ZycHL755hsOHDjwt/cjkVQHjh07RrNmzWw8Let5euzYMXQ6HePGjbvpLjbOzs74+vpy+vRp3nnnHdGxxxqqfeONN1AUhdGjRzN06FBKSkpuan9Go5FPPvmEJk2akJuby5QpU+jSpYvY5+XLl/H19WX69Ok0atTopvZ1LyBF8w4SHx9P3759iYuLQ1EUjEajeE6r1dK7d2+aNGnCnDlz6NChw18Ka5pMJpYvX07nzp158cUXcXd3p3v37mI8UdWQ8MKFC7l69Sp9+/a96WN65ZVX8PDwwNXVFZVKhaOjIwUFBVy9epVjx45hNBpRqVQ899xzmM3mm96fRGIvli9fTnJyss06n8FgYMGCBfj6+vLFF1/ckjF+AN26dcMaBCwqKhKlKNYa78cff5yBAweydOlSwsLCmDhxImlpaX9pHyaTiQULFlC/fn1Gjx5NUFAQb7/9tjiXoXINd+LEiXTt2vUvr9Heq8g2enbg888/55133qFTp060b99eeIHWWqixY8ei1+vRaDQ8+OCDzJs374YaL0CEPletWsWGDRvIy8vDy8sLf39/nnvuOVFGYk1SKCkp4ciRI4SGhjJgwABiYmJuyfFMmTKFGTNm8Nhjj1GnTh0uX77MDz/8wLBhw3B0dCQ9PZ0PPviAqVOn/qkmChJJdcNisdC6dWvRNNx6TmVmZjJt2jReeumlW57ZajabefHFF1m+fDlPPfUUERER4hphndN7+PBhDh06JAY+t2/fnqZNm9KqVSuaNm1KvXr1cHNzAyqbrWdlZXHhwgUWLVrEnj17yMjIICIiAo1Gw7Bhw/D29rZpIp+QkICnpyfp6el3fJpIdUWKph349ttvGTp0KC4uLowaNQp3d3dcXFzEiWgdsvrZZ5+RlJSESqXCx8eH8PBw4TleuXKF48ePoygKderUoby8nJYtW9KrVy8RxrEO0Var1ej1ehYsWMDx48eZOXPmLb1rvHr1KnXq1MFgMPDhhx+i0+kwmUyYzWYcHR1RFIW1a9cSERHBiBEjbDqfSCR3A3v37qVjx47MnDlTiND169eZPHky3bp1Y8WKFaKX863k6tWrREdH06ZNG9q1a4dGo7FpoKAoCmazmblz5xIZGcnp06dJSUkRNdkAHh4e4qa5Vq1a5OTkoFar8fT0JCIigmHDhonZuFYvMy0tjXnz5tGpUydmzZp13yf/VEWKpp04e/YsQrx49QAAB7tJREFUCxcuZPr06dSpU4exY8eK6edWYSwvL6e0tJTU1FS+/PJLHB0dxYy7mJgY0ddy/PjxYjCsm5ubCPtakxT0ej1Xr17l0KFD+Pv7s2jRolve0eP5559nxYoVTJ48Ga1WK+7Ca9euLe6Ox4wZQ4sWLdi/f/993VFEcvcxbNgwrl69Snx8vFjmuHjxIjNmzODkyZO3da0vNzeXoUOHsm3bNgYPHkzHjh3Fc1aP02Qy4ezsLEYdxsTEsHPnTg4cOEDbtm25cOECjo6OdOvWjQMHDtCjRw9q1apFaWmpaNdZXl4ulnE+++wz0tPT2bdv322b6Xm3IkXTjpSXlzNp0iQWL14sEmdCQ0NterZWnegeHh6OoiicPn2aqKgozGYzaWlpRERE2LTyAjhy5AhNmjRBo9HwySefcPbsWRYsWMCQIUNuy3y+w4cP06pVKwYNGkSnTp1Qq9WcOnWKunXrisLv9PR0atWqRadOnWjSpMktt0EiuR2kpqbyr3/9i3r16hEUFCS2nz59mtWrV5OSkoKrq+ttteHMmTP07NmT0NBQWrdujbu7O76+vmJqkbXnrbXVnkajwWw2k5eXJ2boqtVqNBoNRqNRjCmsWmd6+fJlsY66cOFCmjVr9qebM9xPyEQgO+Ls7Mz06dM5d+4cMTExpKamsnPnTlavXs2RI0fEkFeAunXr4uDggFarpUmTJjg4OKDT6YRgWiwWkUVnMBjYt28fn3/+OUlJSdSqVYs333yTYcOG3bYB0S1btuTll1+mffv2omlDvXr1+P7774FK8a9Tpw7Tpk27pb11JZLbzcWLFzl37hwBAQE2ERJFUcjJyRGdsW4nDRs25Mcff6Rt27bMnDmTr776SjSJP3v2rEgUUqlUNlNJvL29RcMR63VCo9GI1yuKwrZt29i9ezdffPEFKpWKUaNG0adPHymYv4Fc2a0GuLm5sXz5ct577z2mTp3Kd999x7Zt26hduzb9+/cnPz+fli1bihPWZDKh0+nQ6/Vi3dBkMjF37lweeughDAYDZ8+eBSA4OJjNmzfftnl8VRk5ciQtWrSgefPmPPHEEzg7O9OzZ08qKipwcXHBYrHQsmVL1q1bx8mTJ+VJKbkrWLZs2Q3duqz11U2bNv3Ngc23muDgYN599110Oh1r1qzBaDQya9YssrOzadq0KWazmZycHIKDg8USSXl5OTqdDrPZLK4VBoOBVatWERcXR05ODmvWrMFisTBp0iT69u1L06ZN78jx3K3I8Gw1RK/X8/HHH7NixQqOHTuGxWIhPDycli1bsnv3btq2bUtYWBirVq2ioqKCuLg49u/fT0ZGBgBvv/02OTk5vPDCC3c0DGqxWIiJiSE5OZnp06eLE3fDhg306dNHhJC1Wi1xcXH3xew9yd1P+/btuXTpEq+//roQSIvFwuLFi9m3b58Igd5J9Ho9c+bM4d1336WgoIAWLVqgKAonT54kLi6Otm3bsnbtWlxcXPjHP/5BTk4OGzZsID4+nhMnTrB27VoAxowZQ3p6OuPGjfvDmbqSSqRoVnNycnKYP38+RUVF7N69myNHjgCVDZ7Xr1+PRqOhb9+++Pr6EhAQQFxcHK1bt75tYdg/wjowd9q0aXh4eGAymdi0aRPdunXD2dkZi8XCqlWrSE1N5cKFC3axUSL5syiKgoeHB0OGDCEmJkZkuAOcP3+ezZs38/3339utS47ZbGb//v1cvXqVuXPncvbsWS5dukTbtm3Zt28fAP/f3r2rtJaGARj+kBAsIlEkpAhaBZFgYcpgr1iJCDYW1uK9iHgBdjbWtqKFvV6AKCiRBDwgWEjwsIuBDDKzZz4GZ2vYz1Ou6q/Wy1r/aXV1tX/s3szMTLRarbi8vIylpaVYXl7+ME/LvxPNAfPy8hIPDw9RKBSiUChEqVT6VitRe71e7O3txdHRUczNzfU3gHe73ZiYmIj39/c4PT2N3d3duL6+jmq1+tVDhp+6vb2Nzc3NaDabH/YwRkScn5/Hzs5OtNvtX/6l+U+enp6i0+lEp9OJ+/v7qFarcXV1FePj41GtVqPRaHyrd8agMac5YAqFQlQqla8exk8Vi8U4PDyMg4ODaLVa/cVLZ2dn/TN3m81m3NzcfKsXDfydbrcb+/v7UavVYmxsLCL+PDpveno6tre3o1wuf+UQ/6JUKkW9Xo96vd5/9rvfTPKZrJ7l062vr8fj4+OHxRONRiOen58jIqJcLgsmA2FqaiouLi5idna2v9844o+L5VdWVmJjY+OXLLLj+/B7lk/39vYWW1tbcXJyEouLi/29pgsLC9Hr9WJycvLL5lzhv2i323F8fByjo6MxPz8vlL8xv2f5dENDQ1EsFmNiYiKGh4fj9fU1RkZGPlxqC4OkVqvF2traVw+Db8CXJv+rXq8Xd3d3UalUHPgMDDzRBIAkC4EAIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASBJNAEgSTQBIEk0ASDpBxkwby5qIEXYAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"norm.graph()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 10.4 s, sys: 55.6 ms, total: 10.5 s\n",
"Wall time: 10.1 s\n"
]
}
],
"source": [
"%%time\n",
"greedy_path = norm.contract(all, get='path', optimize='greedy')"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 526 ms, sys: 0 ns, total: 526 ms\n",
"Wall time: 526 ms\n"
]
}
],
"source": [
"%%time\n",
"cheap_path = norm.contract(all, get='path', optimize='eager')"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.000504825421115"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"greedy_path = norm.contract(all, get='path', optimize='greedy')\n",
"cheap_path = norm.contract(all, get='path', optimize='eager')\n",
"\n",
"cheap_path.opt_cost / greedy_path.opt_cost"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"158 ms ± 36.1 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
],
"source": [
"%%timeit\n",
"norm.contract(all, optimize='greedy')"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"151 ms ± 43.4 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
],
"source": [
"%%timeit\n",
"norm.contract(all, optimize='eager')"
]
},
{
"cell_type": "markdown",
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"source": [
"# PBC MPS"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"psi = qtn.MPS_rand_state(100, 32, cyclic=True)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [],
"source": [
"norm = psi.H & psi"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"norm.graph()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"91 ms ± 1.9 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
]
}
],
"source": [
"%%timeit\n",
"greedy_path = norm.contract(all, get='path', optimize='greedy')"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"16.3 ms ± 152 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
]
}
],
"source": [
"%%timeit\n",
"cheap_path = norm.contract(all, get='path', optimize='eager')"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.8022488338725077"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"greedy_path = norm.contract(all, get='path', optimize='greedy')\n",
"cheap_path = norm.contract(all, get='path', optimize='eager')\n",
"\n",
"cheap_path.opt_cost / greedy_path.opt_cost"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"280 ms ± 40.7 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
],
"source": [
"%%timeit\n",
"norm.contract(all, optimize='greedy', backend='numpy')"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.49 s ± 213 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
],
"source": [
"%%timeit\n",
"norm.contract(all, optimize='eager', backend='numpy')"
]
}
],
"metadata": {
"kernel_info": {
"name": "python3"
},
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.6"
},
"nteract": {
"version": "0.11.7"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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