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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from collections import OrderedDict"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib\n",
"matplotlib.rcParams['figure.dpi'] = 120\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Test for https://github.com/pandas-dev/pandas/pull/19074\n",
"\n",
"Based on https://gist.github.com/jorisvandenbossche/d39063411b480e1fa825b0cb5c1d56fd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I modified the `MultiIndex._engine` property slightly to choose the engine type based on the `ENGINE` attribute:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"ENGINES = OrderedDict([('codes', 'MultiIndexUIntEngine'),\n",
" ('hash', 'MultiIndexHashEngine'),\n",
" ('object', 'MultiIndexObjectEngine')])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"SIZES = [3, 10, 30, 100, 300, 1000, 3000]"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" codes \n",
"\n",
"505 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"19.5 µs ± 486 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"528 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"18.9 µs ± 224 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"353 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"18.8 µs ± 60.3 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"694 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"18.9 µs ± 419 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"5.22 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"19.3 µs ± 771 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"118 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"20.1 µs ± 306 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"1.27 s ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"20.4 µs ± 98.6 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"\n",
" hash \n",
"\n",
"636 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"94.5 µs ± 3.99 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"537 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"94.3 µs ± 4 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"633 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"97.1 µs ± 4.52 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"1.04 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"98.1 µs ± 4.06 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"7.16 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"98.1 µs ± 7.98 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"169 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"96.5 µs ± 4.27 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"1.64 s ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"96.5 µs ± 2.88 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"\n",
" object \n",
"\n",
"302 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"2.66 µs ± 71.7 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"299 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"2.61 µs ± 16.9 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"458 µs ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"2.59 µs ± 9.88 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"1.88 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"2.61 µs ± 7.85 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"22.6 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"2.61 µs ± 18.4 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"620 ms ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"2.61 µs ± 49.3 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"4.16 s ± 0 ns per loop (mean ± std. dev. of 1 run, 1 loop each)\n",
"2.39 µs ± 14.8 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n"
]
}
],
"source": [
"tss = {}\n",
"\n",
"for engine in ENGINES:\n",
" print('\\n', engine, '\\n')\n",
" pd.MultiIndex.ENGINE = engine\n",
" ts = []\n",
" tss[engine] = ts\n",
" for n in SIZES:\n",
" idx = pd.MultiIndex.from_product([np.arange(n), pd.util.testing.makeStringIndex(k=n)])\n",
" key = idx[0]\n",
" t0 = %timeit -n 1 -r 1 -o idx.get_loc(key)\n",
" t = %timeit -o idx.get_loc(key)\n",
" ts.append((t0, t))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"sizes = np.array(SIZES)**2"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"t_colds = {engine : np.array([t[0].best for t in tss[engine]]) for engine in ENGINES}\n",
"t_warms = {engine : np.array([t[1].best for t in tss[engine]]) for engine in ENGINES}"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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BkRE+fvdYe+IO69waU6mEZfrtpEDW45AKhIJWj+PevXv069cPtVqNmZkZq1atyukuSW/E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\ncdu025ibNpd/7DjA6twythRWsbWwmupGL6kuJ1/edSoAy77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"text/plain": [
"<matplotlib.figure.Figure at 0x7fab3235b278>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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PP/zA7NmzAdLl4zh9+jQrVqzI1GwyPwgODqZ27RdJL83MzAgODiY4OBgzM7MM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\nRToVAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fab322ef978>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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bGyYmJlStWhU3NzcOHDhAeHg4cXFxtG7dGkmSGDVqlEb2ZNeuXYwePRqA0aNH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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fab32137cf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for warm_w in 10, 100, 1000:\n",
" fig, ax = plt.subplots()\n",
" for idx, engine in enumerate(ENGINES):\n",
" t_cold = t_colds[engine]\n",
" t_warm = t_warms[engine]\n",
" ax.plot(sizes, t_cold, label=ENGINES[engine])\n",
" ax.plot(sizes, t_cold + t_warm * warm_w,\n",
" label='{} + {} * get_loc'.format(ENGINES[engine], warm_w),\n",
" linestyle='--', color='C{}'.format(idx))\n",
" ax.set_xscale('log')\n",
" ax.set_yscale('log')\n",
" ax.set_xlabel('MultiIndex size')\n",
" ax.set_ylabel('Time (s)')\n",
" ax.legend()\n",
" plt.savefig('perf_warm_w_{}.png'.format(warm_w))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Zoom on small values"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" codes \n",
"\n",
"19.3 µs ± 327 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"19.2 µs ± 57.2 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"18.9 µs ± 66.2 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"18.9 µs ± 108 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"\n",
" hash \n",
"\n",
"95.9 µs ± 5.84 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"96.6 µs ± 5.83 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"95.5 µs ± 3.88 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"92.9 µs ± 4.9 µs per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n",
"\n",
" object \n",
"\n",
"2.37 µs ± 11.3 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"2.36 µs ± 15 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"2.41 µs ± 22.4 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n",
"2.35 µs ± 5.31 ns per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n"
]
}
],
"source": [
"import timeit\n",
"\n",
"ITERATIONS = 100\n",
"\n",
"tss = {}\n",
"\n",
"for engine in ENGINES:\n",
" print('\\n', engine, '\\n')\n",
" pd.MultiIndex.ENGINE = engine\n",
" ts = []\n",
" tss[engine] = ts\n",
" for n in SIZES[:4]:\n",
" results = []\n",
" for it in range(ITERATIONS):\n",
" idx = pd.MultiIndex.from_product([np.arange(n), pd.util.testing.makeStringIndex(k=n)])\n",
" key = idx[0]\n",
" t0 = timeit.timeit('idx.get_loc(key)', number=1, globals=globals())\n",
" results.append(t0)\n",
" t = %timeit -o idx.get_loc(key)\n",
" ts.append((min(results), t))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"t_colds = {engine : np.array([t[0] for t in tss[engine]]) for engine in ENGINES}\n",
"t_warms = {engine : np.array([t[1].best for t in tss[engine]]) for engine in ENGINES}"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
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4Q1knsLA0Y4cUT0tKWgpWFlZsvrSZD/76gLc83mJ80/Ema08IcVhK6ZNbPnWSX6EoCqSl\nQloKWNlqDuTYWt3axz+Pp7A6ToFmb2hp60do5ewq6KaoXMDaTkur5g1Df9Ocin01sLLJ2Jb9c+D+\nSuH2T2Ey/rj6B9+GfcuU5lOYtW8WTZyaMNp7tLnNAtQI5okRTHJyMpGRkSQkJJjJKkWJJC0VEGBh\noS2iJ94HqXMqaanaZecAtuW0tPvXtTD1FpYgLLVpLJvSYFVKi92VlqK7Z7759cKgVKlSuLi4YG1t\neu2S4kjUgyj6/LcPzmWdSZNpRD2MYt3L66hatqpJ21UjmHwSGRmJvb09rq6uhX4oSVFMSUuF1CTt\ny97KVnsfG6mlpSZrF2naVFW5apCaAjdPgqU1WNo8/mlbTguTIiXIRppjeYY/g1JK7ty5Q2RkJLVq\n1TK3OUWOlLQUJu2eRKpMpX6F+my8uJGvO35tcueSF5SDyURCQoJyLorHpKVBms5RCEttFCHTIObS\nY+eh7T/RdOHLV9ecQmKc5jis7bSzIZbWYFNGy2dhqZ1oz+4zJgQI9acphKBSpUpER0eb25QiyaKw\nRYRFh/GG2xusOr2KgQ0H0qlGJ3OblQH1Kc4C5VyeEaTUOYkk7bKw0rTdpYTb57W0tJTH+e0qgI2r\nNlKRaWBpq404LGweOxPQ7ldpnH276vNlNOpvMWsSUxP54+ofdHftzoaLG2hUsRH/8fmPuc16AuVg\nFCWT9HUK/TSVzoGkx7+6dUaLj2WIbTnNwQihrXVY22WcwrK0fZy3cuFFpFUoMmNracv3L3zPmD/G\nkJyazBftv8DG0ib3goVMyV4hNCWpyZCSBCmJuitBe59OcgIkx2uH2pIealfyo8f3kx5q0yiJcVpA\nwIT7Whraf22vD+yvnWd4dJeUuGgcHSvT48Xuj8s/uqfpaTy8rZ26fhgNj+5RtqwW6jzizFF+DFis\nbUmNu0Horq2MH63tPAoMDGTsyDe1heT713RbXa/BA4OpiLgbcO8fuHcV7l1l6MA+rPv+u8f3Y69B\nzGXddUm77hsEW7h3Fe6Ew+0LuNZw4fa5A1p9QEhICD26dYLocwQumM3YNwdpX/h3rzwufyccbp6C\nm6eIOLSNHxfN1drQlXcoZ4+3e0Pd1YAdwUvhdvjj8tFntXWO2+fh7mWtn+kh4UGbtir7HKEX7zD+\nk6Xg2BAquD6+X6EmlK+hnUQvXUk7RJh5N5ZCUcikyTS+P/09j1Iesfr0asKiw5jaYio1yxVNYTY1\ngskvd8Kf/A/Yugw46v6zvXs55/v3rmZ7v0yZMpw8cYxH189gZ1eK7X/uxdmpkubI0omLyrq8joiz\nx/nxxx8Z2L0FAD71nsPn4/ce501JgAe3tNfp0xDWZaCso/Y64T6kprcndKOAxIzlUxINpnuEtkaR\nTvrOKMOwchlmO4Q2okjfJWVlq40U0rGy0+4jiLgRw48btzHw9Tf0t9u2asHm4ACDSkVGB1BaJwek\nH33YZDzrUa6a9lzaVsOn7fMoFMWBlSdX8tWRr7ibcJfvTnxHrzq9eLnOy+Y2K1vUCCa/2FcFhxra\nf7nla2qXYdylcs5QoZZ2VaytXQ4GAaHL14BKdaFSPe2qXF9bINbxwosvs+XQZXBsyNqt+xgw6HX9\nHP+MGTP4MnAjOLnDc+407jqYiEdloVJtffnJcxfx16HjeL84jPlBOwk5d5cew9593L5dBajmzdAP\nv2L87BW0+tcoavt1Zd26dQDIyvUY+8lSGrTvw/OD/82tuGRtFxRw+PBh2r/qT7MXX6fb6/8mKrU8\nKRXr4tu1DyEhIQB88MUypny1WnOoFlZQqY6mVJiOtZ2WVtZJm5aqWJuh4z9k/PjxtGrVitpN2rLu\nj1CoUJPJn37FX/tD8W7bnfnz52vlrWy1+tJPmjs4ExH9kEaNGvHWW2/h3rwDXV8dxCNswaY0h44c\nxdPLC29vbyZOnEjjxtoaSUhICD169NA/V39/fzp06EDt2rVZsGCB3tw1a9bg5+eHt7c3I0eOJDU1\nNX+fG4Uin4TdCuObo9/QsXpHfr3wKzXL1eTD5h+a26wcUSOYHPj4v6c4ff1+gdbpVq0c0192f7yj\nKBv6DxrMzJkz6fHKqxw/eQr/4W/x198GCgYWVgb/sQvtP3WLx7/OOXPm8uWXX7J582YA/Rd/VkRF\nRbFnzx7Onj1Lz5496dOnD+vXr+fcuXOcPn2amzdv4ubmhr+/P8nJyYwbN46NGzfi6OhIcHAwU6ZM\nISAggMDAQPr06cOCBQvYunUrBw4cyPPzycqWOXPmPNGXv/76C29vb325X375BUtLSy5cuMDatWtZ\nvnw5r732Gr/88guDBw9m2LBhLFu2jFatWjF5cvZ65GfPnmXnzp3ExcXRoEEDRo0aRXh4OMHBwezd\nuxdra2tGjx7NDz/8wJAhQ/LcP4UiP6RLH1cpU4X4lHjikuJY2mVpoUkf5xflYIoonp6eREREsHbt\nWl588UWTtvXKK69gYWGBm5sbN2/eBGD37t0MGDAAS0tLqlWrRqdO2vbHc+fOcfLkSbp06QJAamoq\nVatq++7d3d15/fXXefnll9m3bx82NpoDzGonUHa7g7KyJSvatm2rdzjpREREUKtWLb3jadasGRER\nEdy7d4+4uDhatWoFwMCBA58om85LL72Era0ttra2ODk5cfPmTf744w8OHz6Mr68vAI8ePcLJySnL\n8gqFKfj0wKdEx0fzWoPX+PHsj0xpPoUGFRuY26xcUQ4mB6a/7G7W9nv27Ml7771HSEgId+48XqC2\nsrIiLe1xqPSnjTpga/t4d5RhZIesnICUEnd3d/bt25dlXSdOnKB8+fIZnEOlSpW4e/culStr6yIx\nMTH618baYiyG5S0tLXn06FGe6slcPiUlBSklb7zxBrNnz86zPQpFQTDcYzg17Guw4sQKnq/xPP0a\n9DO3SUah1mCKMP7+/kybNg0PD48M6a6urhw5cgSAI0eOcPny5SfK2tvbExcXl++227VrR1BQEKmp\nqURFRbFz504AGjRoQHR0tN7BJCcnc+rUKQB+/fVX7ty5w+7duxk/fjz37t0DoEOHDnz//feANuJZ\ns2YNHTt2NNqWp+1LhQoVsLe3Z/9+bYoxKCgoT+U7d+7MunXruHVL2xQRExPDlStXcimlUDw9cUna\n575KmSpsvrQZp9JOZpE+zi/KwRRhXFxceOedd55I/9e//kVMTAzu7u4sXLiQ+vWfPJPh6emJlZUV\nXl5ejxfG80Dv3r2pV68ebm5uDBkyhJYtWwJgY2PDunXreP/99/HSLZr//fff3L59m8mTJ7NixQrq\n16/P2LFj9bZ/9NFHhIeH4+XlRZMmTahbty6DBw/Oqflc+5K+BpN+pW9OyI4VK1YwYsQIvL29efjw\nIQ4ODka37+bmxieffELXrl3x9PSkS5cuREVFGV1eocgP8cnxDNwykHmh8/j474+58fAGc9vNxcHW\n+M+uuVHBLjMFuzxz5gyNGjUyk0UKU/HgwQP9GaE5c+YQFRXF119/bWarFMbwrP5NTt0zlU0XNzHY\nbTDfn/6ed5q+w3CP4eY2C1DBLhWKDGzZsoXZs2eTkpJCzZo1CQwMNLdJCkW2/Pfif9l4caNe+rhl\n1Zb4N/Y3t1l5RjkYxTNBv3796NeveCyMKp5tImIjmLV/Ft6O3oTeCKWsdVk+a/uZWaWP84tJLRZC\ndBdCnBNChAshnjh8IISwFUIE6+4fEEK4Gtz7QJd+TgjRzSA9QAhxSwhxMlNdXwghzgohjgsh1gsh\nypuybwqFQmEKwu+FU86mHFXKVCHifgSz286msl3Wuy6LOiZzMEIIS+Bb4AXADRgghHDLlO1N4K6U\nsi4wH5irK+sG9Afcge7AIl19AIG6tMxsBxpLKT2B88AHBdohhUKhKASer/k845qMY2vEVt70eJOW\n1Vqa26R8Y8oRjB8QLqW8JKVMAoKAXpny9AJW6V6vAzoLbf9dLyBISpkopbwMhOvqQ0q5G4jJ3JiU\ncpuUMj22+n7ApaA7pFAoFKYi5J8Q/nvxv1y9f5XZB2fj7ehdZKSP84sp12CcgX8M3kcCzbPLI6VM\nEULEApV06fszlXXGePyB4LwarFAoFOYg6kEUU/ZMoVrZaggEFsKCue3mYm1RvKWiTTmCyeokUOY9\n0dnlMaZs1o0KMQVIAX7I5v4IIUSoECK0qCrlCSF4/fXX9e9TUlJwdHTUB2XMCX24/ogIfvzxR316\naGgo48ePB3Th+seOzZNNQ4cOzfWsSXa4urpy+/Zt/XvDAJPG2JK5LyEhITg4OGQ4B7Njx4582Wb4\nXAqTO3fu0LFjR8qWLftE/w8fPoyHhwd169Zl/PjxWUYikFISEhJCSEhIviIeZMVnn32Wa570z5ei\n4EhJS+H9v94nVabSoGIDzsScYVarWVQrW83cpj01pnQwkYBB+FxcgOvZ5RFCWAEOaNNfxpR9AiHE\nG0APYJDM5q9OSrlMSukjpfRxdHQ0siuFS5kyZTh58iSPHmn6Mdu3b8fZOS8DuCe/lH18fDJEBy5O\nZO4LaLHIwsLC9Nfzz+cv5L6pnourq2uO90uVKsWsWbP48ssvn7g3atQoli1bxoULF7hw4QJbt27N\ncP/Ro0cMHTqUkydPcvLkSYYOHar/rDwNxjgYRcGzKGwRR28dpW+9vmwM30j/Bv3pXLOzuc0qEEzp\nYA4B9YQQtYQQNmiL9psy5dkEpIt89AH+1DmGTUB/3S6zWkA94GBOjQkhugPvAz2llPEF2A+z8MIL\nL7BlyxYA1q5dy4ABA/T3ZsyYkeGLqXHjxkRERGQoP3nyZP1p9/nz52cYNRgydOjQxyHya9d+HK5f\nSsaOHUuDBg14/vnn9WFSQBeuv317mjVrRrdu3YiKiiIlJQVfX9/H4fo/+IApU6bkqc/Z2ZK5L9kR\nERHxOFy/uztdu3bVf/EeOnQIT0/PIhOuv0yZMrRp04ZSpUplSI+KiuL+/fu0bNkSIQRDhgxhw4YN\nGfLY2dmxePFiVq5cycqVK1m8eDF2dnYZ8kRHR9OlSxfc3d0ZPnw4NWvW1I8is+rL5MmTefToEd7e\n3gwaNChX+6WU+ufo4eFBcPDjGenPP/8cDw8PvLy8coxcrYDzd8/z3Ynv9NLHDSo04D3f93IvWEww\n2RqMbk1lLPA7YAkESClPCSFmAqFSyk3ACuB7IUQ42silv67sKSHET8BptOmuMVLKVAAhxFqgA1BZ\nCBEJTJdSrgAWArbAdl2cnv1Syrefth/9lj4Z1LFzIydGtKuTr/vBI43bEdK/f38tXH+PHhw/fhx/\nf3/++usvo+3OKsR9dqhw/Y8xd7j+a9eu4eLyeH+Ki4sL165dy5Dn0aNHjBkzhmHDhgEwZswYFi1a\nlMHJfPzxx3Tq1IkPPviArVu3smLFCkA7FZ9VX+bMmcPChQsJCwszys5ff/2VsLAwjh07xu3bt/H1\n9aVdu3aEhYWxYcMGDhw4QOnSpYmJeWI/jsKAeuXrMbvNbILOB5GYmsgX7b/A1lCau5hj0oOWUsrf\ngN8ypU0zeJ0A9M2m7KfAp1mkD8giO7qtziUGFa6/+IXrHzNmDHv37gXg+vXrejv69u1r9Gguq5nd\nzM/Kzs6OgIAAdu3apW83c549e/awfv16ALp3706FChUACkx6YM+ePfrPx3PPPUf79u05dOgQu3bt\nYtiwYZQuremUVKxYMc91PwukyTSiHkbhXNaZK3FXCLsVxqdtPqWWQy1zm1agqJP8uZDbiONp7+eE\nCtdfvML1f/vtt/rXrq6uRo8GDHFxcSEyMlL/PjIykmrVnlzsFULQoUOHbOvJrs8FJT2QU/3FJdKv\nOQk8FciSY0v4qMVHLD2+lJdrv0zPOj3NbVaBU/xiDzxDqHD9BdOX4hSuv2rVqnpbpZSsXr2aXr0y\nHx/LnTZt2vDTTz8BsG3bNu7evQvk3Bdra2uSk5ONqr9du3YEBweTmppKdHQ0u3fvxs/Pj65duxIQ\nEEB8fLy+fkVGjkUf45sj39C8anPmh86nun11praYam6zTIJyMEUYFa4/+76UhHD9rq6uvPvuuwQG\nBuLi4sLp06cBWLx4McOHD6du3brUqVOHF154Ic91T58+nW3bttG4cWN+/vlnqlSpgr29fY59GTFi\nBJ6enka36T+SAAAgAElEQVQt8vfu3RtPT0+8vLzo1KkTn3/+OVWqVKF79+707NkTHx8fvL29s9wl\n9yxzP+k+k3ZNwqmME4kpidxLuseX7b8s8tLH+UWF61fh+p8JnrVw/YmJiVhaWmJlZcW+ffsYNWpU\nvqbsigIl5W9SSsl/dv2HnVd30q9BP344+wMf+H3AwEYDzW1anlHh+hUKA561cP1Xr17ltddeIy0t\nDRsbG5YvX25uk555UtJSsLW0pV+DfgSfD6ZT9U4MaJjlnqUSQ64jGCFES2Aw0BaoCjwCTgJbgDVS\nylhTG2kq1AhGoXiSO3fu0Lnzkwf9/vjjDypVqlTo9pSkv8m4pDj6bupLGmn8/PLPxUqd0pACGcEI\nIf6HdoJ+I9qW4VtAKaA+0BHYKISYpzvTolAoSgCVKlUqttNpRZH45Him7p3KaK/RLD2+lBvxN1jZ\nfWWxdS55IbcpstellLczpT0Ajuiu/xNCFE+hAoVCoSgEPjvwGTuu7KBqmapsjdjK+CbjaeLUxNxm\nFQo57iJLdy5CiDJCaHJqQoj6QoieQghrwzwKhUKhyEi69HGf+n346dxPtKjagjc93jS3WYWGsduU\ndwOlhBDOwDbgdTThL4VCoVBkgaH08ZGbRyhtXZrZbWcXS+nj/GJsT4UugOSrwCIpZV80lUqFCShp\n4fo7dOiA4WaKiIgIfbDJvJJduPgZM2bg7Oyc4WxM+kHPvLJkyRJWr16dr7IKRToLwxZiY2lD1TJV\nuRh7kdltiq/0cX4xdpuy0O0mG4Qmc5yXsoo8Yhiu387O7qnC9Q8cqO2x9/Hxwccn100fxZoJEybw\n3ntPH4n27befOkaqQsHMVjP54cwPLDi6AP/G/rRybmVukwodY0cw76Bp3K/XRTquDew0nVmKZyVc\nf0REBG3btqVp06Y0bdqUv//+G9CiKrdr1w5vb28aN26cIZL0lClT8PLyokWLFjkGxARttPbqq6/S\nvXt36tWrx6RJk/T30qMO+Pn58dZbb+lHdYbPt0OHDrz//vv4+flRv359vR2pqalMnDgRX19fPD09\nWbp0aa59VTwbnLpzikcpj7iTcIeAkwF4OnoytkneZgxKCkY5GCnlbillTynlXN37S1LKwpcBfIbo\n378/QUFBJCQkcPz4cZo3z6w2nTNz5szRi3JNmDAhx7zpIfI3b96sD2VvGK5/9erV+i/+9HD969at\n4/Dhw/j7+zNlyhSsrKwIDAxk1KhRbN++na1btzJ9+nR9G4MGDdJPXRlGh3ZycmL79u0cOXKE4OBg\n/TTejz/+SLdu3fQh4dMjEz98+JAWLVpw7Ngx2rVrl+EA4fz58/VtGMY6CwsLIzg4mBMnThAcHMw/\n//zD9evXmTVrFvv372fv3r2cPXs22+eTkpLCwYMH+eqrr/j4448BzTk5ODhw6NAhDh06xPLly7OM\nCad4trjx8AYjto1g+t7pTNo1CSEEn7f7vNhLH+eX3M7BLAO+kVKeyOJeGaAfkCilzFKeuNjzv8lw\n44muPx1VPOCFOblmK0nh+gF++OEH/RRdRESEfjSVnJzM2LFjCQsLw9LSkvPnzwPg6+ur15955ZVX\n9A7GxsZGX7ZZs2Zs375d30Z2U2SdO3fWxx5zc3PjypUr3L59m/bt2+vDyfft21ffdmZeffVVfXvp\nI8Vt27Zx/Phx/YgvNjaWCxcuUKtWyQq3rjCelLQUJu2eREpaCqUsS3HyzknmdZiHc9m8TW+XJHJb\nR1kEfCSE8EA7vR+NdtCyHlAOCABKpnMpApSUcP05MX/+fJ577jmOHTtGWlqaXuGxXbt27N69my1b\ntjB06FDeffddhgwZgrW1td6u9HD6eemfYQh+Y0kvb9ielJJvvvmGbt26GV2PomSTLn081H0ogacC\n6degH11qdjG3WWYlRwcjpQwDXhNClAV8eBwq5oyU8lwh2GdejBhpmBJ/f38cHBzw8PDIoEjp6uqq\nF8wyZbj+pUuXMmTIEG7dusXOnTsZOHBghnD9LVu2JDk5mfPnz+Pu7p4hXH+PHj04ePAg5cuXz7Gd\n2NhYXFxcsLCwYNWqVXop4itXruDs7Mxbb71FYmIiR44cKVAFST8/PyZMmMDdu3ext7fnl19+eUIW\nISe6devG4sWL6dSpE9bW1pw/fx5nZ2fKlClTYDYqig/7o/bz3Ynv6ObajY3hG6lfoT4TfSea2yyz\nY+wazAMpZYiUcq2UcoOxzkUI0V0IcU4IES6EeEKnVghhK4QI1t0/IIRwNbj3gS79nBCim0F6gBDi\nlhDiZKa6KgohtgshLuh+VjDGxqJMSQnXnxOjR49m1apVeHl5cfbsWf0XdEhICN7e3jRp0oTg4GCj\n6jJcg/H29n5i44Mhzs7OfPjhh/j5+dG6dWtcXV3zFMJ/+PDhuLm50bRpUxo3bszIkSONGk0pSiYV\nS1WkY/WORMdHk5CaUOKkj/ONlNIkF2AJXARqAzbAMcAtU57RwBLd6/5AsO61my6/LVBLV4+l7l47\noClwMlNdnwOTda8nA3Nzs7FZs2YyM6dPn34iTVEyiYuLk1JKmZycLHv06CF//fVXM1ukyIqi/DeZ\nlpamf70obJFsHNhYrr+w3owWFQ5AqDTCD5jySKkfEC61HWdJQBCQWZqvF7BK93od0FloE+y9gCAp\nZaKU8jIQrqsPKeVuICuZPMO6VgGvFGRnFCWPGTNm6LdB16pVi1deUR8ZRd5YeWol0/ZOY//1/Sw5\ntoSXar9Erzp5VyAtqeTpsKQQooyU8qGR2Z2BfwzeRwKZ99rq80gpU4QQsUAlXfr+TGVz24rxnJQy\nSldXlBDCKZs+jABGANSoUcO4nihKJEptUfE0pEsft3Fuw4d7PsSlrAsftfgoy80xzypGjWCEEK2E\nEKeBM7r3XkKIRbkVyyIt89ad7PIYUzZfSCmXSSl9pJQ+jo6OBVGlQqF4xjCUPk5OS+Ze4j2+aP8F\nZazVJg9DjJ0imw90A+4ASCmPoa2F5EQkUN3gvQuatkyWeYQQVoAD2vSXMWUzc1MIUVVXV1U07RqF\nQqEoUKSUzPh7Brfib9Gpeif2Xt/Lf3z+g1slFZ4xM0avwUgp/8mUlJpLkUNAPSFELSGEDdoifmZh\nsk3AG7rXfYA/dQtIm4D+ul1mtdDO3RzMpT3Dut5AE0lTKBSKAuVy7GV2R+6mX8N+BJ0LokP1Dgxs\nONDcZhVJjHUw/wghWgFSCGEjhHgP3XRZdkgpU4CxwO+6vD9JLY7ZTCFET122FUAlIUQ48C7a7i+k\nlKeAn4DTwFZgjJQyFUAIsRbYBzQQQkQKIdKDb84BugghLgBddO8VCoWiQKldvjZrXljDrn92UalU\nJWa1mqXWXbLB2EX+t4Gv0RbaI9E0YcbkVkhK+RvwW6a0aQavE4C+2ZT9FE2mOXP6gCyyI6W8Azwp\nJK5QKBQFQHxyPHuv7+X5Gs8TcCqA6w+vE9AtgPKlcj5M/Cxj7EHL21LKQVLK56SUTlLKwbovdIUJ\nUHow2VOS9WB2795N06ZNsbKyeuJZr1q1inr16lGvXj1WrVr1RFmpC30zY8aMDO+fhsyfoazILkp3\nSWT2wdn8J+Q/LDu+jP9d/h+jvUbT7Llm5jarSGPsLrJaQoh5QohfhRCb0i9TG/esYqgHAzyVHkw6\nPj4+LFiwoEDtLGpMmDCBsLAw/ZVbmJrsePvttws0LA1oX8RDhw7NMU+NGjUIDAzUa/ikExMTw8cf\nf8yBAwc4ePAgH3/8MXfv3s2QJywsjPHjxxMTE8OGDRuMkkrIDWMczLPC5kub2RC+gb71+/Ldie9o\nXqU5wz2Gm9usIo+xazAbgAjgG+D/DC6FiVB6MM+eHoyrqyuenp5YWGT8s/z999/p0qULFStWpEKF\nCnTp0oWtW7dmyNOkSRNGjx7N999/z++//85nn332RP2HDh3C09MTb29vJk6cqB9FZteXzJ+h3IiJ\nieGVV17B09OTFi1acPz4cQAePHjAsGHD8PDwwNPTk19++SVfz8dcXLl/hVn7NOnjwzcPU9q6NJ+1\n/QxLC0tzm1bkMXYNJkFKWbL//c2OlS89mVa/G7Qen7/7w7YY1Wz//v2ZOXMmPXr04Pjx4/j7+2f4\nks2NOXPm8OWXX+qDYhoGy8xMuh7M2bNn6dmzJ3369MmgB3Pz5k3c3Nz04fPHjRvHxo0bcXR0JDg4\nmClTphAQEEBgYCB9+vRhwYIFbN26lQMHDujbGDRoEHZ2dgAkJSXpv0TT9WBKlSrFhQsXGDBgAKGh\noXo9mClTppCamkp8fDzwWA/m008/ZdKkSSxfvpypU6cCWiyyNWvWAFChQgV27tQ08cLCwjh69Ci2\ntrY0aNCAcePGYWlpyaxZszhy5Aj29vZ06tQJLy+vLJ9Puh7Mb7/9xscff8yOHTsy6MEkJibSunVr\nunbtapJw/deuXaN69ce79l1cXLh27VqGPGFhYQQEBDB48GA6d+7M1KlT+eSTTzLkGTZsGMuWLaNV\nq1Z63R8g275k/gzlxvTp02nSpAkbNmzgzz//ZMiQIYSFhTFr1iwcHBw4cUKTvsg8+irKJKclM3HX\nRKwtrXEp68Lmy5tZ/PxinEpneY5bkQljHczXQojpaIv7iemJUsojJrFKofRgSogeTPPmzUlMTOTB\ngwfExMTo+zF37lyjQ/1ntZ6SedeSl5cXCxYsYMaMGbzyyiv06pUxXMm9e/eIi4ujVStNtnfgwIF6\nx5FdXwx/f8awZ88e/eikU6dO3Llzh9jYWHbs2EFQUJA+X4UKxScOrZWwon/D/kTERrDy1EqGuQ+j\njXMbc5tVbDDWwXgArwOdgHQhEql7X7LJbcTxtPdzQOnBFH89mPRRXEhICIGBgQQGBhrdbjouLi4Z\nRqCRkZF06NAhQ570Z5K+yJ/5d5dTf7PrS06j3uzqyYwQAillsdzGm5yajLWlNX5V/Pjy0Jd4VvZk\nXNNx5jarWGHsGkxfoLaUsr2UsqPuKvnOxcz4+/szbdq0J3RKXF1dOXJEGzyaUg8mKCiI1NRUoqKi\n9NNNhnowoI1ATp06BZBBD2b8+PFG7eKKjY2latWqWFhY8P3332fQg3FycuKtt95i+PDh+v4WFH5+\nfuzatYu7d++SkpKS53WBdD2Y5ORkAM6fP8/Dh8aG6csb3bp1Y9u2bdy9e5e7d++ybdu2PAudVahQ\nAXt7e/bv10L8GY4osutLXj9D7dq144cfNP3BkJAQKleuTLly5ejatSsLFy7U5ysOU2Q3Ht7gpfUv\nsePKDt7f/T4Ac9vNfWalj/OLsQ7mJKA2excySg/m2dKDOXToEC4uLvz888+MHDkSd3d3ACpWrMhH\nH32Er68vvr6+TJs2TT+1lxdWrFjBiBEj8Pb25uHDh/r+ZteXvH6GZsyYQWhoKJ6enkyePFm/nXrq\n1KncvXuXxo0b4+Xlpf9npaiSkpbC+7vfJzYxlr+u/cXx28eZ3mo6LvYu5jat2CGMmSoQQoQAnmjh\nXwzXYHpmV6Y44OPjIw3PZwCcOXOGRo0amckiRWHy4MEDypYtS0pKCr1798bf35/evXub2yyTkd5f\n0DaBREVF8fXXX5vZqtwp7L/Jb45+w7LjyxjmPoyVp1bSt35fprWclnvBZwghxGEppU9u+Yxdg5n+\nlPYoFEWOGTNmsGPHDhISEujatWuJ14PZsmULs2fPJiUlhZo1a+ZrPaiksz9qP8uPL9ekjy9upG75\nukzynZR7weJGajJYmn66zygHI6XcZWpDFIrC5lnTg+nXrx/9+vXLV9nff/+d999/P0NarVq1WL9+\nfUGYVmTYHbmbmuVqcif+DvHJ8QR0C6CUVSlzm1VwxMdA6Ao4sAwG/wJVPU3aXI4ORgixR0rZRggR\nR0Y9FgFIKWU5k1qnUCiKBN26dcvzxoLiyESfiZSyLMXyE8uZ2WomdcrXMbdJBUPMJdi/GI6ugeR4\nqPs8CFMKGmvkNoIpAyCltDe5JQqFQmEmNl3chHsld2ITY1lxcgUv1HqBV+qWgCnTfw7B3wvg7GYQ\nluD5GrQcC88VjnZNbg6mQFQkFQqFoqhyPPo40/dOp1ONThyLPoZzWWemtZhWLM/uAJCWCuf+B39/\nA//sh1IO0Prf4DcCylUtVFNyczBOQoh3s7sppZxXwPYoFApFoXE/6T6Tdk/CqbQTD1MecifhDmte\nWENZm6yjdhdpkuLh2FrY9y3EXITyNaD7XGgyGGzN05/cJuEsgbKAfTaXwgSUtHD9SUlJ/Pvf/6ZO\nnTrUq1ePXr16ERkZqbczu9D9w4cP5/Tp03luLywsjN9+eyxDFBgYiKOjY4YzMvmpF2DTpk3MmaO0\n7EoC6dLHNx/epHPNzuy9tpd3m72Le2V3c5uWNx5Ew87P4KvGsOVdbcTSZyWMOwot3jabc4HcRzBR\nUsqZ+a1cCNEdTajMEvhOSjkn031bYDXQDLgD9JNSRujufQC8iSbNPF5K+XtOdQohOgNfoDnNB8BQ\nKWV4fm03J4bh+u3s7J4qXH966HcfHx99LLDC5sMPPyQuLo7z589jaWnJypUrefXVVzMEw8yK7777\nLl/thYWFERoamiGGW79+/TKcJs8vPXv2pGfPYn38S6Fj86XNbL+ynYENBxJ0Noj2Lu0Z3Giwuc0y\nntsXYN9CCFsLqYnQ4EVtfaVmKygi03u5jWDybaUQwhL4FngBcAMGCCEyryy9CdyVUtYF5gNzdWXd\ngP6AO9AdWCSEsMylzsXAICmlN/AjMDW/thcFSkq4/vj4eFauXMn8+fOxtNTCmw8bNgxbW1v+/PNP\nQBuhDRo0iEaNGtGnTx995GRDobJt27bRsmVLmjZtSt++fXnw4AGgnX5v1aoVXl5e+Pn5ERsby7Rp\n0wgODsbb25vg4OBsn3FISAgdOnSgT58+NGzYkEGDBunjaf322280bNiQZs2aMX78eP2zMxz9Zffs\nAL744gt9+Pvp09UxsqJI5xqdGddkHHuu7aFCqQrMal0MpI+lhCt/w9oBsNBHcy7eA2DMIRiwFlxb\nFxnnArk7mKeRIPYDwqWUl6SUSUAQ0CtTnl5AujzfOqCz0H7DvYAgKWWilPIyEK6rL6c6JZC+bdoB\nuP4Utpud/v37ExQUREJCAsePH6d58+Z5Kj9nzhzatm1LWFgYEyZMyDFverj+zZs368O4G4brX716\ntV6nJT1c/7p16zh8+DD+/v5MmTIFKysrAgMDGTVqFNu3b2fr1q1Mnz6d8PBwatSoQblyGXe0+/j4\n6GOYnTt3jtGjR3PmzBnKlSvHokWLMuS9ffs2n3zyCTt27ODIkSP4+Pgwb948kpKS6NevH19//TXH\njh1jx44dlClThpkzZ9KvXz/CwsL05z7SHU76lS7mdvToUb766itOnz7NpUuX2Lt3LwkJCYwcOZL/\n/e9/HD58mOjo6Dw9u23btnHhwgUOHjxIWFgYhw8fZvfu3cb+6hQm5lHKIx6lPMLOyo7LsZeJfBDJ\n3LZzqVCqCEd5Tk2Bk7/Cd51h5QtwdT+0fx8mnIKXvwbHJ8NFFQVynCKTUsY8Rd3OwD8G7yOBzN+S\n+jxSyhQhRCxQSZe+P1PZ9Dmi7OocDvwmhHgE3AdaPIXtAMw9OJezMWeftpoMNKzYkPf93s81X0kJ\n159dJF3D9OrVq9O6dWsABg8ezIIFCzKE3d+/fz+nT5/W50lKSqJly5acO3eOqlWr4uvrC/CEEzMk\nuykyPz8/XFy0GFPp8cvKli1L7dq19aH3BwwYwLJly4x+dtu2bWPbtm00adIE0EK0XLhwgXbt2mVr\nn6LwmH1gNifvnGRgw4FsvrSZ0d6j8alinunjXEl8oJ1d2f8t3LsKFWvDS/PAawDYlDa3dblibKiY\n/JDVOC3ztufs8mSXntWIK73OCcCLUsoDQoiJwDw0p5OxQSFGACNAk6gtypSEcP1169blypUrxMXF\nYW//eF/IkSNHePnll7NsJ6tQ8126dGHt2rUZ0o8fP/7UUxoFFco/3c70nx988AEjR458KtsUBc+W\nS1tYH76ePvX78Pmhz/Gt4ssIjxHmNutJ4m7AgaXaqfuEWKjeArrNhgYvQDFS0jSlg4kEqhu8d+HJ\naav0PJFCCCu0qa2YXMo+kS6EcAS8pJTpq8bBQEZNWR1SymXAMtCCXebUAWNGGqbE398fBwcHPDw8\nMmhzuLq66sWiTBmuf+nSpQwZMoRbt26xc+dOBg4cmCFcf8uWLUlOTub8+fO4u7tnCNffo0cPDh48\nSPny5XnjjTd49913WbJkCZaWlqxevZr4+Hg6derElStXuHr1qr6+tWvX0qZNRkGnFi1aMGbMGMLD\nw6lbty7x8fFERkbSsGFDrl+/zqFDh/D19SUuLg47O7un7nvDhg25dOkSERERuLq65riOkxXdunXj\no48+YtCgQZQtW5Zr165hbW2Nk5NSQTQnV+9fZea+mXg5enHs1jFKWZZiTts5RUv6+OZpbZvx8WCQ\nqdDoZWg5Dqr7mtuyfGHKWAGHgHpCiFpCCBu0RftNmfJsAt7Qve4D/Cm1fwM3Af2FELZCiFpAPeBg\nDnXeBRyEEOkTkV2AMybsW6FQUsL1z549m1KlSlG/fn3q1avHzz//zPr16/WjjwYNGvDtt9/SqFEj\nYmJiGDVqlN4OIQSOjo4EBgYyYMAAvd772bNnsbGxITg4mHHjxuHl5UWXLl1ISEigY8eOnD59OsMi\nf+Y1mPQ1payws7Nj0aJFdO/enWbNmmFvb5+nUP5du3Zl4MCBtGzZEg8PD/r06fNUDk/x9CSlJvHe\nrvewsrCiun11Lty7wCdtPika0sdSwqUQWPMvWNwSTv0KPsNg3GF4bXWxdS6ANpw31QW8CJwHLgJT\ndGkzgZ6616WAn9EW8Q+iiZqll52iK3cOeCGnOnXpvYETwDEgxLCu7K5mzZrJzJw+ffqJNIV5aNy4\nsbx06ZJZ2o6Li5NSSpmWliZHjRol582bZxY7FAXzN3k97rp8ef3Lcl7oPNk4sLH84uAXBWDZU5KS\nJGVYkJSLW0s5vZyUn9eVctfnUj68Y27LcgUIlUb4AKP0YEoqSg+m6NKlSxccHR0zHBYtTObPn8+q\nVatISkqiSZMmLF++nNKli/6iakmkoP4mr9y/woAtA6hpX5PVL6zGuhDC1WdJQiwcXgUHlsD9a1C5\nAbQaCx6vgXXxiNxc0HowCkWhsn37drO2P2HChFy3dyuKPjce3iDwVCCjvUYzZc8UpJR83v5z8ziX\n2EgtovHhVZAUB65tocdXWmRjC9NHNjYHysEoFIoSSbr08ZmYMySmJHIs+hhftPuC6vbVcy9ckEQd\ng78XamsrUoJ7b23EUq1J4dphBpSDUSgUJZIlx5Zw5NYRvfTxv+r9i+61uhdO41JC+A4tVP7l3WBT\nFvxGarHByhft4xEFiXIwCoWixHEw6iDLji+ju2t3vfRxoRw7SEmEEz9rI5boM2BfDbrMhKZvgF15\n07dfxFAORqFQlChS0lKY/vd0Tfr4kSZ9vKLrCuys7EzXaHwMHF6pHY58cBOeawy9l4L7q2BlY7p2\njSQ1TfL3xdtsOHqdcZ3q4lq5TKG0qxyMQqEoUVhZWLGg0wJ+ufALP5z5gRktZ1C3Ql3TNBZzWSdF\n/L0mRVyns+ZYancwe9BJKSUnr91nQ9g1/nvsOrfiErG3taKb+3OF5mBK5taFYo7Sg9FQejCPOXv2\nLC1btsTW1jZDJG2ArVu30qBBA+rWrZujbYGBgUREROQpFE523Lt374mgpJnJ6XdrKi7FXgLgQfID\ngs4G0d21O6/We7XgG4o8DD+9Ad80hdAAcHsF3t4Lr/8KdTqa1bkkpqQCEB2XSM9v97B6XwTe1cuz\naFBTDk19nq7uVQrNFjWCKYIoPRiNZ0UPJiIigqFDh2YIB5SZihUrsmDBAjZs2JAhPTU1lTFjxrB9\n+3ZcXFzw9fWlZ8+euLk9Vsa4du0a06ZNo2bNmuzZs4fZs2ezdOnSp7I53cGMHj36qeopSE5En2DI\n/4bwTtN3+PHsj1QtU5VpLQtQ+jgtDc5v1aSIr/4Ntg7Qajw0HwnlqhVMG/nkzoNEtpyIYv3RazjY\nWRM4zA+ncqVY9roPfq4VcShtnjM/agRTRFF6MEoPxhAnJyd8fX2xts74RXHw4EHq1q1L7dq1sbGx\noX///mzcuDFDHmdnZz777DMCAgIICgpi8eLFT9R/8eJFWrRogYeHB1OnTtWPhLPry+TJk7l48SLe\n3t5MnDgxV/sTEhIYNmwYHh4eNGnShJ07dwKag3zvvffw8PDA09OTb775Js/PBiAuKY6JuyfiVNqJ\ngzcOEv0omi/af4G9TQEI7yY/0kYp3/pC0ADtPEv3OfDuKejysVmdyx9nbjJs5UH8PvuDaRtP8Sgp\nldZ1Kuvvd3F7zmzOBdQIJleGbR32RFp7l/YMbTw0X/dXdl9pVLv9+/dn5syZ9OjRg+PHj+Pv789f\nf/1ltN1z5szhyy+/1AfFzOm/43RNk7Nnz9KzZ0/69OmTQQ/m5s2buLm54e/vr9eD2bhxI46OjgQH\nBzNlyhQCAgIIDAykT58+LFiwgK1bt3LgwAHOnj2box5MnTp1OHfuHCtWrKB169b4+/uzaNGiDOH6\nDfVgypQpw9y5c5k3bx6TJ0+mX79+BAcH4+vry/379yldujQzZ84kNDRUP2IJDAwkODiYPXv26OtM\njwZ99OhRTp06RbVq1WjdujV79+7Fx8eHkSNHsnv3bmrVqpXBuRvz7Az1YKSU9OzZk927d5skXP+1\na9eoXv3xuQ4XF5cnRobXr19n+vTp+Pv7U6tWLcaMGfOEk3nnnXd45513GDBgAEuWLNGnZ9eXOXPm\ncPLkScLCwoyy89tvvwW0aNtnz56la9eunD9/npUrV3L58mWOHj2KlZUVMTF5VwiROunjGw9vMKjR\nIFafXs17Pu/RuPJTTs89vA2HvoODyyD+DlT1hj4B0KgXWJrnqzMlNY094bdpXbcy1pYWHL5yl3M3\n4k3CsZoAACAASURBVHirbW1eaVKNhlWyl6wwB8rBFFGUHkzJ14Pp3bs3ly9fJikpiatXr+Lt7Q1o\nX/bDhj35j0tWZLWekvl5V6tWjeXLlxMYGEjbtm0ZPPhJWeB9+/bpp98GDhyof/7Z9SWvUhd79uxh\n3LhxgBatumbNmpw/f54dO3bw9ttvY2WlfRVVrFgxT/UCrLuwjm1XtjGo0SDWnl1LW+e2vO72eu4F\ns+N2uKa/EvYjpCRA/e7QahzUNI9apJSSsH/usTHsOv89dp07D5NYOdSXjg2dGNepHu91bYCFRdFR\nsTREOZhcyG3E8bT3c0LpwTxusyTqwaxfvx4wbg0mO1xcXPjnn8cafJGRkVSrlvWUzdChQ/Ncf3Z9\nyTwla0w92aU/7e/QxsKG9i7t2RO5hwq2FfikzSdYiDzO/kupqUT+/Q2c+w0sbcCrP7QcA44Nnsq+\np+Hy7YcMW3mQiDvx2FhZ8HwjJ3p5O9OqbiUA7GyKkNRAFqg1mCKMv78/06ZNw8PDI0O6q6srR44c\nAUyrBxMUFERqaipRUVH6OXNDPRjQJJTTpY8N9WDGjx/PvXv3KFOmjF4PJjVV291iqAcD6PVggGz1\nYPbu3Ut4eDgA8fHxnD9/PoMeDEBcXBwpKSkFqgcD5EsPJiAgQL9OdO3atQxrWAWJr68vFy5c0I+E\ngoKC8rUJoUWLFvzyyy8ABAUF6dOz60ten3G7du344YcfADh//jxXr16lQYMGdO3alSVLlpCSkgKQ\nrymyXnV7Uc6mHP88+Ic57eZQsVQeRkFpqXBqA3z3PKzsri3et5sIE05CzwWF7lxuxSUQsOcyQQev\nAuBc3o56z9nz+b88CZ36PIsGNaObexVsrYq2Y0lHjWCKMDnpwaxevRp3d3eaN2+eqx7M0P9v77zD\no6ry///6TEkmjSSEFAgJJQnSpQqIDQXBsgK7rrK2tS+Wdd39uqt+1UfX1Z/uusW1rLqriN2vawmx\nrFhYewEUlA5JQEggEEp6m5l7fn/cOzczaZCQSQI5r+eZJ/fcU+65czL3fc/5nPM5l15qD3EcKvPn\nz2fZsmWMHDmSzMzMZvvB3HDDDZSXl+Pz+bjxxhtJTU3llltu4cMPPyQjI8PeD+aZZ57hvvvu46ab\nbmLYsGE4HA6GDx/e4n4wl19+OSNHjmxzP5j6+noA7rnnHoYNG2bvBxOYcffBBx8wY8YM7r//fsaN\nG8ett94K0MwG09YU2+D9YGJiYuwhuEPl9NNPZ8OGDfZ3Fhsby/PPP39YG46VlJQwadIkKioqcDgc\nPPjgg6xfv54+ffrwyCOPMHv2bPx+P5dffjmjRo1qd/kPPvggF110Effeey9z5syx979p7V6ysrKY\nPn06o0eP5owzzuCBBx5os/xrr72WhQsXMmbMGFwuF4sXLyYyMpIrr7ySzZs3M3bsWNxuN1ddddUh\nT6G/7+v7GNXPvNc3C9/kmmOvYXLaIbZVQzWsegG+fATKfoDEIXDmn2HcBRDRNWtEAlTV+1i6toTc\n1cV8nr8XQ8HsUaksOC6TCJeDf13SQ7dzPgS0u37trr/HMmbMGPLy8mxbSFdSVVVFbGwsSimuu+46\ncnJyjmrvyjU1NURFRSEivPzyy7z00kvNZqN1Fy39Jt8ufJtbPr2F84adx5uFbzIyaSRPnv4kLsdB\n3pkrS0yj/YqnoK4MMqaY9pVjzuzSrYj9hsJp2U0uX7yCZRv3MDAxinnj0pk3fgDZKZ0w+y2MaHf9\nmiOaWbNmMWbMmG4RF4B//etfIfvBHMyecqTzzTffcP3116OUIiEhgUWLFnV3lVple8V2/vDVH8yt\nj0u/I9IZyf0n3t+2uOzZYPZWvn8F/F4Ycba5FXHmlC6rt1KKb344QO7qYt5dW8I7N5xISh8P15+a\nzbWnZDFxUGLnrdnpIWiB0fRI9H4wXcuJJ57Id99916G8a9asCfE8Aebkh4MtpO0IDf4GfvvJb3GK\nk0F9BpFXkMcjpz5CWkwLq9OVgm2fmob7Le+BKwomXAJTr4WkrE6vW2vsrqjjuS9/IHd1MUUHavG4\nHcwckUqt17RJTshM7LK6dDVhFRgRmQP8HXACTyql7m8SHwk8C0wE9gHnK6W2WXG3AlcAfuAGpdTS\ntsoUU/rvAX5q5XlMKfVQOO9Po9GYQ5mHuh7mcFm6bSnr963n8tGXs2jtIi4eeTEnZ5wcmsjvNQ33\nXz5s7sUSkwwzbodJl0NMUpfUs6S8jjqvn8H9Yqiq9/GPj/KZnt2PX88cxuzRacRG9o53+7DdpYg4\ngUeBWUARsEJE8pRSwU6grgAOKKWyRWQB8EfgfBEZCSwARgEDgA9EJGDJbq3MS4EMYLhSyhCRDltU\nO2PqpEajOXya2ojPHno2Me4Y7vj8DkYmjeTGCTc2RtZVwLfPms4nK4qg3zD40UMw9vwu2Yq4os7L\nu2tMY/2Xhfs4c0x/Hr1gAlnJsay8fRZ9Y7rfq3JXE04ZPQ7IV0oVAojIy8BcIFhg5gJ3WcevAo9Y\nPZG5wMtKqXpgq4jkW+XRRpnXABcopQwApVSH5oV6PB727dtHUlKSFhmNphtRSrFv3z48Hg8l1SVU\ne6sZ1GcQT699Gr/y88BJDxDhjDBdt3z9uLkVcX0FDDoBzvoL5JzeZVsR3567hldWFtHgMxiUFM0v\nT81h3rjG9Ui9UVwgvAKTDuwIChcBTS1qdhqllE9EyoEk6/xXTfIGvD22VmYWZu9nPlCKOay2pb2V\nHjhwIEVFRZSWlrY3q0aj6WQ8Hg9pA9JYuGwh2yq2MTdrLqtLV/PHE/9IZnUZfHAPrH3N2op4Hky7\nHtInhLVOhqFYvm0/yzbu4ZY5w3E4hKSYSC44LpO54wYwLiNBv5xahFNgWvqGm86Jbi1Na+dbeh0J\nlBkJ1CmlJonIj4FFwInNKiVyNXA10KK7C7fb3W0zlzQaTXMeXf2ovfXx4nWL+XHKFM787Ako/Ajc\nMXDc1TBlISQOCms9NpZUkLtqJ3mri9lZXkd0hJMFkzMYmhzLr2c1X4umCa/AFGHaRAIMBHa2kqZI\nRFxAPLD/IHlbO18EvGYdvwG06KNFKfVP4J9groM59NvRaDRdzfJdy3niuyeYnTmLvE2vMMSAm5e/\nCrFpMPMumHgpRIVvFlbAHvv++t1c9exKnA7hpJx+3HzGcGaNTCU6oncY6ztKOL+dFUCOiAwBijGN\n9hc0SZMH/Bz4EjgXWKaUUiKSB7woIn/FNPLnAMsxezatlZkLnIrZczkZ2BzGe9NoNGFmf91+bvnk\ndwxyx1GWv5QqF/yzLpbouY/B6J+EbSvi8hov76zdRe6qYk4bkcLVJ2UxPTuJu+eO4qwx/UmKjTx4\nIRogjAJj2VSuB5ZiTilepJRaJyJ3AyuVUnnAU8BzlhF/P6ZgYKV7BdN47wOuU0r5AVoq07rk/cAL\nIvJroAq4Mlz3ptFowsyBH/B88TAn7ismytfAC/F9uCPrpwybfkdYPBorpXh3bQlvrCrmo02lNPgN\nhibHkBBlilh0hItLpg3u9Ose7WhXMU1cxWg0mm6k+Bv44hGM9bk4xMHqEbO5tHYdp2XO5M8n/7lT\njed+Q7FlT6W9h8r8f3xO0YFazjl2APPGpTM6vY821reCdhWj0WiODAwDtiw1V9z/8DlrYhP5Q84o\n7jr+Hm5eeR9pMf258/g7O+Vhr5Ri3c4KlqwuJu+7nRyo9rLitpnER7t57MKJJMdF2j7CNIePFhiN\nRtM9eOvg+5fhi0dg3xaIz6By5p38tmQpBorHCl5jT80enjnjGfpEHP5OjZ9t2ctdb64jf08Vbqdw\n8rAU5o0fgCfCnJyaFh/+xZg9gTqvnw827Oa04alh309GC4xGo+laqvfByqdMr8bVpdD/WPjJU6gR\n5/D7z/+XkprdXDTiIp5Z/wy/mfgbxiaP7dBl9lc38PaaXRw7MJ6xAxNIiHaTGO3mnnmjOWtMfxJ7\n0eJHv6H4qnAfb6wyHW1W1ft49IIJnDW2f1ivqwVGo9F0DfsK4MvAVsS1kDPbdJU/+AQQ4dXN/2bp\ntqVcONzc+viE9BP4+aift+sStQ1+3t+wmyWrivl4cyk+Q3HdjCzGDkxgdHo8/154fJhurufRdDhw\nd0U9sZEu5oxOY/74dKYODb9fNi0wGo0mvGz/Gr54CDa+DU636Rts2vWQMtxO4jf8/HvTvzku7Tg+\n3/k58ZHx3DO9fVsf+w3FjD9/RElFHWl9PFxxwhDmjktnRP+evbdKZ7Njfw153+0kd1UxW/ZU4XII\npxyTwh1nD2DmiFQ87q7b90YLjEaj6XwMvykoXzwMRcvNxZAn/o+56j4utVlyp8PJ4jmLuevLu1hR\nsoJ/nf4vkqJaf8NWSvF9UTm5q4vZVFLJC1dOwekQfnP6MAYmRjFlSFKvMtaX1ZjDgbmrilmx7QAA\nkwYldvtwoBYYjUbTMQwDavdD1R6o2m3aU6p2m58Nb8GBrZA4+KBbEecV5DEzcybLdizjP1v/wy/G\n/oIp/VveCGzH/hpe/7aYJauLKdxbTYTTwYzhydQ0+ImJdHHepIwW8x2N1Hn9fLhhD7mri/lo0x68\nfkV2Siw3nT6MuePSyegb3d1V1AKj0WiCMAyoPQDVeyzh2GMd74aq0ibHpWCufw7FGQEDxsOs38Pw\ns9vcividwne47bPbKBxdyEsbX2JCygQWHrswJM3eqno8biexkS4+3lzKgx9uZsqQvlx90lDOGN2f\n+Gh3Z38LPZaAsT7XMtZX1vtIiYvk59MGM298OqMG9Ky1O3qhpV5oqTnaUcoSjUAPI1g4mhxXl4Lh\na16Gww2xKeYnJgVikyE21ToOPp8CnvhDWm2/vWI75711HtkJ2dT76tlVs4tXf/QqaTFpVNf7eG99\nCbmrdvJZ/l5+f84oLpo6iMo6L5V1PgYkRIXhi+qZKKVYv6uC3FXNjfXzxqUzLavrhwP1QkuN5mhG\nKagra96rqNpthUuDhq32gOFtXobDFSoWqWOChMP6G5tiHkcldqqLFq/fy28/+S0OcTA0fihv5L/B\nQzMeIt6dzK9eXsV763ZT6/WTnhDF1ScN5fgs0x4T53ET5+kdPZaiAzUsWd3UWJ/MHWend7mxvqNo\ngdFoegpKmRtmtdTDCBaLQJy/oXkZ4rTEwepNpI4KCjcRDk9Cl23I1ZSHVz3M+n3ruWL0FTy19imm\nJs1lRuYMlFLsKq9j/oR05o1LZ9KgRBy90Fi/ZNVOlm/bD/QMY31H0QKj0YQTpaC+MnR4qsWhKuuc\nv755GeIwhSEwBJV8TOiQlH2cavY0ukk02sO4vqcxJqaMRd+/hL8+nW9WTcd3hoHL6eD/rp7ao+wI\n4abO62fZxj2Wo03TWJ+VHNOjjPUdRQuMRtMR6quazJwKFo4mQ1W+2ub5xQHR/RqHoJJymtg1go6j\n+7ZpKD+SqPPV8cRHO/jbBz8QPWgV7ig/N4y5iwsnTsTlNIWxN4iL31B8HbSyvrLeR3IPNtZ3FC0w\nGk2Ahuo2Zk41Gary1rRQgEB0kjUElQxJWS0MT1nH0UlHjWi0RWWdl6XrdrNkdTH/c3o2f193E4mu\nTE6b5mJ52TbuPfE+zh46tbur2SUEjPVLVu9kyepi21g/e5S5sr47jPXhRguM5uimoaaJ0buFmVOB\nj7e65TKikxqHozKOCx2aCh6eik4Cp/5Jef0GH20qJXd1MR+s3029zyCjbxQvbFrEyt0ruXz0WD4o\nfpp52fM4e+jZ3V3dsBMw1i9ZXczm3Y3G+tvPMo314XY42Z3oX8PRjFLmimrDZ65XMHxW2N8k7ANl\nNAn7G9OG5Dc6sbwwlm94oeYANFS2/N1EJTb2KtInNg5VBQzgAeGI6We6NzlKUUpR7zOorvchIvS1\njMgfbdpDZZ2P6nofVfU+quv9ZKfE2s4Rr3xmJRV1XqrrA2n8zBmdyj3zxlDT4Oe6F74l1uPi/MkZ\nzB2Xjj9iC1e9/zyzB80mryCPwfGDufW4W7vz1sNKWU0D76wpIXdVsW2snzgokT9Yxvq+R5ixvqOE\nVWBEZA7wd8zdJ59USt3fJD4SeBaYCOwDzldKbbPibgWuAPzADUqppYdY5sPAZUqp2LDdWOHHULKm\nmx667ShLGWH7Cg4Lh8v8iNM6dhwk7DQ/IWEXuDyhYXGEhqP6mkNVgR5GwK4R3S9s2+12FY0P9sZP\nH4+b0enxADz5aSHltV5bJKobfBw7MIFfnJwFwMy/fszeqnqq6nz4DHMt3DnHDuChn40H4NoXvqWm\nIXQR5bxxA2yBKa9tQERI7eMhJtJFbKSL8RmJAMRHuXntmuMZ3j8Ot9PB/rr9nJt3CxlxGZQ3lFNR\nX8HjMx8n2n3kGq9bImCsz11VzH+PMmN9RwmbwIiIE3gUmAUUAStEJE8ptT4o2RXAAaVUtogsAP4I\nnC8iIzG3Tx4FDAA+EJFhVp5WyxSRSUBCuO7JZkMerHiyhQhp8sBzNj4cWw238kB1RRz8Adv0gdqe\n8rutvJ4/wykc+PwGXr+yh0O+21FGea03RCT6x0cxZ3QaAP/7xhpKK+ttIams9zF1aBL/b/4YAKbd\n9yEVdaELImePSuWJi821b4/+N5+yWi+xES5iIl3ERDoZmNj4gAusKwmIQ0yEk5zURqeQ/3f1NDxu\nh5XXjA8Y4YGDeiUeMzDePt6wbwP1/nrmDJ7Dcxue4/Ypt3NM32Pa/R32RAxD8dVWc2X9f9Y0Gusv\nmTaY+UeRsb6jhLMHcxyQr5QqBBCRl4G5QLDAzAXuso5fBR4RszXmAi8rpeqBrSKSb5VHa2VagvYA\ncAEwP4z3BbPu5k/e8ymp8iIOJ+J04XQ4GZzch2tOMd8Qn/i4gH3VDTgdgsshOB1CekIUP7V8Jb32\nTREVdV4rzoHLISTHRTJjeAoAn24ppabBb+d1ORzER7ntH+6mkkq8fiOk/OgIl71p0v5qc42E085v\n/nU7e+cDvr0Eho6qgnoKkS4H2SnmQ/j1b4vYV9Vgx1c3+BjaL5arThoKwEVPfs2OAzV23jqvwcwR\nKTz588kAXPnsSkorQ6ckzzgm2RaYjbsqbP9aCdERDEyMZmi/Rl9ev5tjeiKO87iIsUQktU+kHf/F\nLafhcTtafbjdPXd0m/cfLBCHy/T06fz1lL+y8P2FzBo0i/OOOa/Tyu4OlFJs2FVJ7upi8lbvpKSi\njpgIJ3NG92fe+AEcn9XvqDPWd5RwCkw6sCMoXAQ09WBnp1FK+USkHEiyzn/VJG+6ddxamdcDeUqp\nXWF/Y4iIYVOZsHWfF8NowGco/IZiX03jkMJb3+9iy55KDAN8hoGhYPLgRFtg/vFRPgWloUblyYMT\nbYG5K29ds/hJgxJ59RrzzfG6F78lf09Vq/HnPfFlm/Fn/P1TCkurGgXM6WBCZoL9ALxk0XKK9tc0\nCpRTGD0gnvt/Ym7+dNO/v6OkvC5EvIalxnHTbPPN9E/vbmRvVT1OhwOnA1wOB4OSorls+hAAFn++\nlQM1lsA6zTL6x0fxo2MHAPD297uorvfZ13Y6hKSYSKZZb94rt+2nzmuExPfxuGwB2La3OqSHUN3g\nIyEqwv5+//b+ZnaW1dq9h+p6HyP69+Feq4dw8gMfsX1/6EyxE7L78fyV5r/bX9/fTNEBc/pxlNtJ\nTKSLk3IahyQz+kaRFBth9xBiI11kpzSO2j78s/E4HUJMhMsUCauXEeD1a6fTFhdNHdRmfE8wHK/d\nu5aCsgJmZM7gzi/uJCU6hbuOv+uIfaMvLqtlyepiclc1GutPHpbMbWeNOOqN9R0lnALT0n9RU8dn\nraVp7XxLr99KRAYAPwVOOWilRK4GrgbIzMw8WPJWeerSyW3Gv/nLE0LChqEwgvy+5V43HZ9f4Vem\nOPkMhSvoreefl0yitsGPoZQtYNFB/8B/mDuayjpvSHxCdKNd4ZenZnOgugG/Ar9h4DcIecP9yYR0\nSivr7Wv7DUVm0Bjx8LQ4+nhcZvl+Mz4+qtHY7fUb1DT47PJ9fkWsp/HfadX2Mrburbbvz28oxmUk\n2ALz3Fc/NBPQ4wb3tQXmL+9tonBvk/ghfZmWNQ2A3732PYUt5H9loRl/+TMrWowPCMzHm0vZXVFn\nDg9ZAhB8f5dMG0S9zwiKd5IW3+j/6o1rpxPpdhAT4WrxbfW+H7e9C2NXbPbUnVQ2VPLbj3+LX/lZ\ntn0ZJdUlnbb1cVdSXuM13eCvLmb51iBj/dxRnDV2QK8x1neUsDm7FJFpwF1KqdlW+FYApdR9QWmW\nWmm+FBEXUAIkA7cEpw2ks7I1KxP4HngKqLPCmUChUiq7rTpqZ5fdiwoSV79laI6JNEVqT2UdDT7D\n7gH6DUWky0lmkimCa4vLqWnw2+LlMwziPG4mDjINzf/duAe/oYiJbOwhxEe59QOhC1BK8btPfsf7\nP7zPJaMu4em1T3PjhBu5YswV3V21Q6LO6+e/9sr6Uhr8BkOTY5g/Lp2549Lt/8HeTE9wdrkCyBGR\nIUAxptH+giZp8oCfA18C5wLLlFJKRPKAF0Xkr5hG/hxgOWbPplmZSql1QFqgUBGpOpi4aLofEXN4\ny9XCyEJKnKfNvIHZUq0R6KloupZdVbtYvG4x7257lwtHXMiLG17k+AHHc9noy7q7am0SMNYvWbWT\nd9buorLONNZfPG0Q88alMzq9dxvrO0rYBMayqVwPLMWcUrxIKbVORO4GViql8jB7Hc9ZRvz9mIKB\nle4VzAkBPuA6pcyNJ1oqM1z3oNFoQlFKUVJdQn5ZfsjnstGXMWfwHPbV7ePFjS9yasapfFH8BXER\ncdx7wr3t2vq4K9lgucFfEmSsn23tWT9taFLIzDlN+9H7weghMo2mGUop9tXtI78sn4KyAoYlDmNy\n2mS2lm/lnNxz7HTJUclkJ2Rz4YgLOTnjZHyGj3p/PX9a8Sfe2PIGT8x6gmkDpnXjnTSnuKyWPMsN\n/qbdlbaxfu74dGZpY/0h0ROGyDQazRFAeX05db46UmNSqfHWcN2H11FQVsCB+gN2motHXszktMlk\nxGVw+5TbyU7MJjshm/jIxqHKsroytpRt4etdX/P6lte5asxVPUZcymu8vLN2F2+sajTWT8hM0Mb6\nMKMFRqPpRSilyM3PZUvZFvIPmMNbpbWlnDX0LO4/8X6iXFFEOCM4NfNUchJzyErIIjshmySPOevN\n5XBx5tAzKSgr4P0f3m8cJjuQz766ffZ1pvafyrXjru2u2wQajfW5q4v578ZGY/1vZg1j7rgBDEqK\nOXghmsNCC4xGc5RR56tja/lW8svy2VK2hYKyAlKiU7hz2p2ICE98/wT7aveRlZDFtAHTyEnI4diU\nYwFz4sUTs54AoMZbQ2F5IZ8Vf2aKUbkpJLtrdtvXinJFkZ2QzYkDTyQ7Idv+pESndItR3DAUX2/d\nT+6qYttY3y82koumDmLe+AGMSY/XxvouRAuMRnOE4vV72VaxjYKyAqq91fxk2E8AuPg/F7Nx/0bA\n7HEMiR/CoD6NCzOfP/N5+nr62ob3en89W8u38lbhW+QfMG0uW8q2UFxVbOeJcESQlZDF5LTJjUKS\nmE3/mP49woC/YVeFvbJ+V3mjsX7euHSOz9LG+u5CC4xG08PxG3521+xmQKy5CPWx1Y/x3g/vsa18\nGz5l+iPr6+lrC8zVY69GKUV2QjYZfTJwO8wFpF7Dyw/lP9g9kYKyAvLL8tleuR3DcozqEheD4wcz\npt8Y5mfPt4VkYOxAnD1s/5qdZbW2G/yNJaax/qRhydx65ghtrO8haIHRaHoYa0rXsLxkuW3f2Fq+\nFaUUyy9cjtPhRKEYGDuQUzJOISshi5yEHAbHD7bzn5pxKjsqd1BQVsB7P7xnC8m2im34DFOQHOIg\nMy6T7IRs5gyZY5eT2SfTFqSeSHmtl/+sMY31XwcZ6++eO4qzxvQnKTbyICVouhItMBpNF6OUorS2\nlPwDjTaS/LJ8njz9SaLd0by//X2eXvs0qdGpZCdkMyVtCtmJ2fiVHydO23huKIOdVTspKCvg0+JP\n7XK2lm+l3t/oSHNg7ECyE7KbCVKk88h4GNd5/Xy0yVxZbxvr+2lj/ZGAFhiNJowcqDtg90TOHHIm\n8ZHxPL3uaf72zd/sNH09fclJyKGioYJodzSXjbqMK8dcafvtUkqxu2Y3K0pWhMzaKigvoNZXa5eT\nGp1KdmI2U/tPtYVkSPyQI3LflYCxfsnqYt5eo431RypaYDSaTqCyoRK3w43H5eGb3d/w2HePNZu6\nmxWfxXH9j+P4AcfjcXrsacB9PX0BU0j21u61eyK2kJQVUOlt3JkzyZNEdmI2P875sW1wz0rIIi4i\nrlm9jjQ2llTwxqpi3ly9k53ldURHOJkzKo1547Wx/khEC4xG00721+3n06JPQ6YBl1SX8OCMBzkt\n8zQEocZbw0kDTwqZcZUclQzA8L7D6R/Tn/yyfN7f1riWpOnixvjIeLITsjlz6Jm2iGQnZJPoSeyu\nWw8LO8tqyfvOXFm/saQSp7Wy/uYzhjNrZCrREfoxdaSiXcVoVzGaFmjwN9hrSQKfednzOC3zNNbt\nW8eCtxbYU3cDD/7TMk8LMbYDVDVUUVBeYC9qDAhJaW2pnSbGHROyhiQrIYucxBySPElH7TBQwFif\nu9o01isF4zMTmD8+XRvrjwC0qxiN5hDwGT62V2wnvyyftJg0xiaPpbiqmLNePwu/6V8Vl7gY1GcQ\nNV5zA7JhCcN4c96bZMRl2FN3a321FJYXsiR/ib2OpKCsgF3Vu+xreZyekMWNASFJjU49aoUkmHqf\ntbJ+1U6WbdxjG+t/PVMb649WtMBoegWGMqjx1hAbEUu9v547Pr+DgrICtpZvxWt4ATh32LmMTR5L\nWnQaV4650u5NDO4zGLfTnLob3LPJK8izhaSosghl7afndrgZGj+U8SnjOS/xPLLis8hOzCY9Nr1H\nLErsSgxDsXybtbJ+zS4qLGP9hVMzmT8+XRvrj3K0wGiOCPyGH0MZ9oN+b+1e6nx1eA0vDf4GEmL/\n0QAADtRJREFUfIYPj8vsIQB8UfwFmw9sNn1uWVN3T8k4hT+d9CciHBFsK99GanQq09On20NTQ+LN\n3TadDie/OPYX7KjYwZayLSE+t7ZXbG/WsxnRdwQ/yvqRXU5GXAYuR+/+aW0sqSB31U7yVheHGOvn\njk9nujbW9xq0DaaX22D8hh+v4bXf4gMzkXZU7KDGV4PP8Nnx0e5oRiWNAuCjHR9RXl9ux3n9XlKi\nU5gzZA4AT615ir21e/EaXruMwX0Gc9XYqwC47bPb2Fm1szG/4WVk35Hcc8I9AJz/1vlsr9huxxnK\nYEr/KTx5+pMAnPHaGRRVFYXcy5S0KTw5OzQ+OSrZtpFMSpvEaZmnNbv/4qrixvUols+treVb7UWJ\ngpDZJ9PuiQSEJLhnc7SglKLOa1BZ76WqzkdVvY/KOvNjHgedt+Kq6rwh6SrrvFTU+XA6hJNy+jFv\nfLo21h9laBtMNxP84G7wN+A1vDjFSXK0OZNo84HN1Hhr7Iez1/ASGxHLxNSJALy79V0O1B+w47yG\nl9ToVObnzAfg0dWPsqdmT0j8kPgh/GrCrwC46eOb2FG5I6T8UUmj+MspfwFg/pL5FJYX2i5CACan\nTWbR7EUALPxgIdsrt4fc06TUSTw952kA/rLyL2yr2NYsPiAwb299m11Vu3A73ObH6bYf2GAONQFE\nu6JxO800AVcoAKcMPIWKhgo7zu1wMzBuoB1/48QbqffXN5bvcNvTfQEeOvUhkqOSSfAkAOaDc1f1\nLj4p+sSe/ptflk9heWHIosT02HSyErI4Mf3EkJ6Nx9X2DpvdjVKKep9hC0FVnY/Keq8lAI3iUBmI\nC0lnCYcV9hkHf+mMdDmI87iJ87iIjTQ/mX2jifW4iIt0kZUSy5lj+tNPG+t7NVpgOsgvP/wl2yq2\nhTzAR/YbyeMzHwdgft58tpZvDckzIWUCz5zxDGAKQFvxj333GIXlhc3iAwLz9a6vKa4qDnmABxbm\ngTkzqV9Uv5AH8NCEoXb8vOx55gM8KL5/bH87/ubjbqbB39Bq+Y/NfAzAjnM73EQ4G/fUeP2c19v8\n/h44+YE2468Zd01IWCmFz/DZojwxdWKIuAZE/Jvd3+A1vNT76vly55f2rK38snxqfDV2eSlRKWQn\nZnNe2nnkJOSQnZDN0IShxLi73tBc7/OHPPRDegshPQivnS4gFMHpvP6DC0OEy0FcpMsUBksc0hOi\n6OOJs8NxHrctFLFBaeMiTUGJiXQR4dJDXJqDE9YhMhGZA/wdc3vjJ5VS9zeJjwSeBSYC+4DzlVLb\nrLhbgSsAP3CDUmppW2WKyAvAJMALLAd+oZTytlW/jg6RffPDAR77/q9U+/fjdkTgdrhxOVykRg1k\nZvpPcTmEz3a/SZ1RTaTTjI90uennSWFK2nScDmHd/m8x8OFxRhDpjsDjdBMf2YehCYNxOIS9tXsR\nhAgrv9vhDouzQaUUPuULeVj7DJ/9wA4W0KbhBqOhWb6m6UPKaaOsFuOscw1GQ0jvpz309fQNWUMS\nOA7eKKujNPgM+62/IqgHEBheatpbCAwfVdUH9R7qfDT4jYNey+0U88EfeOBbfwPnAuLQxxYOd0i6\nQJpIl3YAqTl8un2ITEScwKPALKAIWCEieUqp9UHJrgAOKKWyRWQB8EfgfBEZCSwARgEDgA9EZJiV\np7UyXwAustK8CFwJPBaOe3tjVREffDW1xbhnWW4dJQNJIH4QHyJ+kFKQ16xjH4jfOg4Ni8OP02Hg\ncPhxOvyIdexwmHEOK40EpSdQDj67PCV+wI/ChxIfyjo28KGU+degYw/ug+EUJy6HG5e4cTtcuJ1u\nXA43EVZPJ9DziXC4iYqIssMuh8vuDQX3roKHygKfCGeEmb6VuPTYdJKikprVzes3OFDd0OJDv8Ie\nUmreW2hql6j3HVwYXA4J6i2YD/20Ph6zR9CGEPRpIhwetxYGzZFHOIfIjgPylVKFACLyMjAXCBaY\nucBd1vGrwCNizlmcC7yslKoHtopIvlUerZWplHonUKiILAcaB+w7mQGZXzGepXjtN/YGfIYXr/Lh\ns97k/cprT1s9XBRmN84PCA4EF4ILBy4EJ6JcEPQX5QTDBSoSpVwoZZ5ThhOlnBiGA2WF/YYDw3Dh\n9zvMfMplprXygBNlncOwjq1r2GlC8rhAOYBDH0JxCLgcDpwOweUUXA7B6XDgdop5zmH+dTsdIWGX\n09F6nMNPTcNWquq3NBtmqvMeXBicAWEIGiZKifMwtJ/LFofGIaSgIaWgXkWcx0Wky6Gn4Wp6LeEU\nmHRgR1C4CJjSWhqllE9EyoEk6/xXTfKmW8dtlikibuBi4FeHWf9W6RsdR3pcWrO3a5fDdfA3b6eb\nCEdEszf2pmlbKsclrrDuyWEYCq9h4DcUPkPh8yt8gbDfPOc3jKA4K2wdtxb2+pVdpt9vBMUpvP7G\n6zUN+6y0weGmdfP6DWq9LdcnOsJJbKSLpJgIBiXFNA4rBfUMQgzVtnC48bi1MGg0h0s4BaalX2fT\nV/rW0rR2vqXX4qZl/gP4RCn1aYuVErkauBogMzOzpSQHZcHwBSwYvqBDeXsyDocQ2cM2ldJoNEcu\n4ZwKUgRkBIUHAjtbSyMiLiAe2N9G3jbLFJE7MY0fv2mtUkqpfyqlJimlJiUnJ7fzljQajUZzqIRT\nYFYAOSIyREQiMI32eU3S5AE/t47PBZYpc1pbHrBARCJFZAiQgzkzrNUyReRKYDbwM6XUwQfZNRqN\nRhNWwjZEZtlUrgeWYk4pXqSUWicidwMrlVJ5wFPAc5YRfz+mYGClewVzQoAPuE4p0z9HS2Val3wc\n+AH40ho7f10pdXe47k+j0Wg0baNdxfRyVzEajUbTXg51HYxejqvRaDSasKAFRqPRaDRhQQuMRqPR\naMKCFhiNRqPRhIVebeQXkVLMmWcB4oHyFpK2dL6lc/2AvZ1WwUOntXqHu4xDzXOwdO353ls7r9uj\nc9qjI3G6PTqep6O/jbbiuqI9BimlDr6QUCmlP9YH+Oehnm/l3MqeVO9wl3GoeQ6Wrj3fu26P8LZH\nR+J0e3Q8T0d/G0dKe+ghslDebMf51tJ2B51Rl46Ucah5DpauPd97a+d1e3ROe3QkTrdHx/N09LfR\nVlyPaY9ePUTW2YjISnUIc8M1XYNuj56Fbo+eRVe0h+7BdC7/7O4KaELQ7dGz0O3Rswh7e+gejEaj\n0WjCgu7BaDQajSYsaIHRaDQaTVjQAqPRaDSasKAFJkyIyFAReUpEXu3uumhAROaJyL9E5P9E5PTu\nrk9vR0RGiMjjIvKqiFzT3fXRgIjEiMg3InJ2Z5WpBaYdiMgiEdkjImubnJ8jIptEJF9EbgFQShUq\npa7onpr2DtrZHrlKqauAhcD53VHfo512tscGpdRC4DxgenfU92inPe1hcTPwSmfWQQtM+1gMzAk+\nISJO4FHgDGAk8DMRGdn1VeuVLKb97XG7Fa/pfBbTjvYQkXOAt4F3uraavYbFHGJ7iMhMzA0ed3dm\nBbTAtAOl1CeYO28GcxyQb/VYGoCXgbldXrleSHvaQ0z+CPxHKfVtV9e1N9De34dSKk8pdQZwYdfW\ntHfQzvaYAUwFLgCuEpFO0YawbZnci0gHdgSFi4ApIpIE3AuMF5FblVL3dUvteh8ttgfwS2AmEC8i\n2Uqpx7ujcr2Q1n4fpwA/BiLRPZiupMX2UEpdDyAilwJ7lVJGZ1xMC8zhIy2cU0qpfZjj/ZqupbX2\neAh4qKsro2m1PT4CPuraqmhopT3sA6UWd+bF9BDZ4VMEZASFBwI7u6kuGt0ePQ3dHj2LLm0PLTCH\nzwogR0SGiEgEsADI6+Y69WZ0e/QsdHv0LLq0PbTAtAMReQn4EjhGRIpE5AqllA+4HlgKbABeUUqt\n68569hZ0e/QsdHv0LHpCe2hnlxqNRqMJC7oHo9FoNJqwoAVGo9FoNGFBC4xGo9FowoIWGI1Go9GE\nBS0wGo1GowkLWmA0Go1GExa0wGg0gIgoEXkuKOwSkVIReesQ8lZZfweLyAVB5yeJyEPW8aUi8kg7\n67RYRM5tT552lH1OE1ftGk2no32RaTQm1cBoEYlSStUCs4DidpYxGNMb7YsASqmVwMrOrGRnoZTK\nQ6+o14QZ3YPRaBr5D3CWdfwz4KVAhIjcJSI3BYXXisjgJvnvB04UkdUi8msROaWlHpDVM3lIRL4Q\nkcJAL8XaUuARazOoD4CUoDwTReRja8fBpSLS3+plrbA8EyMi94nIvS1c7wYRWS8i34vIy9Y5u0dl\n1TfwqRWRk8Xc3XCRVf4qEdFbUGjajRYYjaaRl4EFIuIBxgJftzP/LcCnSqlxSqm/HSRtf+AE4GxM\nYQKYDxyDuRHUJcDxACLiBh4GzlVKTQQWAfdabj8uBR4TkVmYm0v9vpV6jVdKjaUFD99WfccBd2D2\nuL4AbgOWKaUmY+4V8oCIxBzSt6DRWOghMo3GQin1vdUr+Rnh36Mk19pzY72IpFrnTgJeUkr5gZ0i\nssw6fwwwGnhfRACcwC6rzuss29GbwDRrE6mmfA+8ICK5QG5LlRGRHOAB4FSllFdETgfOCeq1eYBM\nTP9VGs0hoQVGowklD/gzcAqQFHTeR2iP33OY16kPOg7eo6Ml54ACrFNKTWulrDFAGZDaSvxZmOL1\nI+A2ERkTUrjZM3kFuEopFXDdLsBPlFKb2rwLjaYN9BCZRhPKIuBupdSaJue3ARMARGQCMKSFvJVA\n3GFc+xPMITqniPTHHJoC2AQki8g06/puERllHf8YUwhPAh4SkYTgAq2tbzOUUv8Fbgbigdgm130a\neFop9WnQuaXAL8XqMonI+MO4L00vRQuMRhOEUqpIKfX3FqJeA/qKyDpMd+ebW0jzPeATke9E5Ncd\nuPwbwBZgPfAspqt1rGGvc4E/ish3wGrgeBHph2m/uUIptRl4BGhadyfwvIisAVYBDymlygKRIjLI\nKvvyIEP/JOAPgBv4XkTWWmGNpl1od/0ajUajCQu6B6PRaDSasKAFRqPRaDRhQQuMRqPRaMKCFhiN\nRqPRhAUtMBqNRqMJC1pgNBqNRhMWtMBoNBqNJixogdFoNBpNWPj/EiOiws9W8uMAAAAASUVORK5C\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fab31df2828>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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8+c9/pnnz5syaNYuvv/6aNm3amGnkrfNn1GTatGnm8QwfPtw8Ea9fv56///3v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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fab2f85a550>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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uRcD4Rfrw4cNLLdOoUSOSk5PNMUhssrOzefnll1m/fj0bNmzg5ZdfNk/+I0eO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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fab2fa752e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for warm_w in 10, 100, 1000:\n",
" fig, ax = plt.subplots()\n",
" for idx, engine in enumerate(ENGINES):\n",
" t_cold = t_colds[engine]\n",
" t_warm = t_warms[engine]\n",
" ax.plot(sizes[:4], t_cold, label=ENGINES[engine])\n",
" ax.plot(sizes[:4], t_cold + t_warm * warm_w,\n",
" label='{} + {} * get_loc'.format(ENGINES[engine], warm_w),\n",
" linestyle='--', color='C{}'.format(idx))\n",
" ax.set_xscale('log')\n",
" ax.set_xlabel('MultiIndex size')\n",
" ax.set_ylabel('Time (s)')\n",
" ax.legend()\n",
" plt.savefig('perf_warm_w_{}_zoom_1000.png'.format(warm_w))"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"9 0.000178\n",
"100 0.000147\n",
"900 0.000059\n",
"10000 -0.000757\n",
"dtype: float64"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"warm_10 = {engine : t_colds[engine] + t_warms[engine] * 10 for engine in ENGINES}\n",
"\n",
"diffs = pd.Series(warm_10['codes'] - warm_10['object'], index=sizes[:4])\n",
"\n",
"diffs"
]
}
],
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