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pandas autocorrelation_plot 0.24.2 proposed enhancement.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "pandas autocorrelation_plot 0.24.2 proposed enhancement.ipynb",
"version": "0.3.2",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/shadiakiki1986/a7ad08252d015fc1edd373ae32b4caf0/pandas-autocorrelation_plot-0-24-2-proposed-enhancement.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"metadata": {
"id": "yRR2v-rQfenY",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"The `pandas.plotting.autocorrelation_plot` function in pandas 0.24.2 has a bit of controversy over what it does\n",
"\n",
"- [issue 17098](https://github.com/pandas-dev/pandas/issues/17098): Why does autocorrelation_plot() generate plots where auto-correlation proportionally decrease with lag?\n",
"- [issue 24608](https://github.com/pandas-dev/pandas/issues/24608): autocorr() and autocorrelation_plot() output mismatch #24608)\n",
"\n",
"The stackoverflow question [How can I use numpy.correlate to do autocorrelation?](https://stackoverflow.com/questions/643699/how-can-i-use-numpy-correlate-to-do-autocorrelation)\n",
"shows multiple aspects of autocorrelation: statistical versus signal-processing, global versus local mean/std, etc\n",
"\n",
"The below function `autocorrelation_plot_forked` is based on the original implementation in `pandas.plotting` with some added features:\n",
"- `n_lags` parameter to limit the maximum number of lags calculated/shown\n",
" - The idea was prompted in https://stackoverflow.com/a/45386394 and modified for this notebook\n",
" - the default number of lags is limited to 100 to avoid lengthy computation for long series in the case of unspecified `n_lags`\n",
"- `change_deno` parameter that only changes the denominator in the calculation to address issue 17098\n",
"- `change_core` parameter that uses `pandas.Series.autocorr` instead of re-implementing the calculation.\n",
" - This solves issue 17098 and 24608,\n",
" - avoids any controversy on what calculation is done here,\n",
" - and separates responsibilities by making the `autocorrelation_plot` just a wrapper function for plotting instead of implementing any calculations on its own\n",
" - reduces the code in this function\n",
" \n",
"This notebook will be the basis for a potential PR in which, if approved, the suggested `autocorrelation_plot` will not have `change_deno` and `change_core` parameters because they are here just for visual comparison of the resultant plots."
]
},
{
"metadata": {
"id": "b0yxXpigicS-",
"colab_type": "code",
"outputId": "2573227a-1080-458c-c89a-1701842dadeb",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 359
}
},
"cell_type": "code",
"source": [
"!pip install --upgrade pandas"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Collecting pandas\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/19/74/e50234bc82c553fecdbd566d8650801e3fe2d6d8c8d940638e3d8a7c5522/pandas-0.24.2-cp36-cp36m-manylinux1_x86_64.whl (10.1MB)\n",
"\u001b[K 100% |████████████████████████████████| 10.1MB 3.1MB/s \n",
"\u001b[?25hRequirement already satisfied, skipping upgrade: numpy>=1.12.0 in /usr/local/lib/python3.6/dist-packages (from pandas) (1.14.6)\n",
"Requirement already satisfied, skipping upgrade: pytz>=2011k in /usr/local/lib/python3.6/dist-packages (from pandas) (2018.9)\n",
"Requirement already satisfied, skipping upgrade: python-dateutil>=2.5.0 in /usr/local/lib/python3.6/dist-packages (from pandas) (2.5.3)\n",
"Requirement already satisfied, skipping upgrade: six>=1.5 in /usr/local/lib/python3.6/dist-packages (from python-dateutil>=2.5.0->pandas) (1.11.0)\n",
"\u001b[31mfastai 1.0.48 has requirement numpy>=1.15, but you'll have numpy 1.14.6 which is incompatible.\u001b[0m\n",
"Installing collected packages: pandas\n",
" Found existing installation: pandas 0.22.0\n",
" Uninstalling pandas-0.22.0:\n",
" Successfully uninstalled pandas-0.22.0\n",
"Successfully installed pandas-0.24.2\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"application/vnd.colab-display-data+json": {
"pip_warning": {
"packages": [
"pandas"
]
}
}
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "5qTj82gaiYGw",
"colab_type": "code",
"outputId": "15dd5c45-bbb3-4bf0-d810-318e9c71d02c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 217
}
},
"cell_type": "code",
"source": [
"!pip show pandas"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Name: pandas\n",
"Version: 0.24.2\n",
"Summary: Powerful data structures for data analysis, time series, and statistics\n",
"Home-page: http://pandas.pydata.org\n",
"Author: None\n",
"Author-email: None\n",
"License: BSD\n",
"Location: /usr/local/lib/python3.6/dist-packages\n",
"Requires: python-dateutil, numpy, pytz\n",
"Required-by: xarray, vega-datasets, statsmodels, stable-baselines, pymc3, pandas-profiling, pandas-gbq, pandas-datareader, mlxtend, magenta, gspread-dataframe, fix-yahoo-finance, featuretools, fbprophet, fastai, cufflinks, altair\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "L4Kd4yPnYw7t",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"# fork of the pandas autocorrelation_plot with added \"maximum number of lags\" and some other utility parameters to illustrate\n",
"# https://stackoverflow.com/a/45386394\n",
"\n",
"from pandas.compat import lmap\n",
"\n",
"def autocorrelation_plot_forked(series, ax=None, n_lags=None, change_deno=False, change_core=False, **kwds):\n",
" \"\"\"\n",
" Autocorrelation plot for time series.\n",
" Parameters:\n",
" -----------\n",
" series: Time series\n",
" ax: Matplotlib axis object, optional\n",
" n_lags: maximum number of lags to show. Default is len(series)\n",
" kwds : keywords\n",
" Options to pass to matplotlib plotting method\n",
" Returns:\n",
" -----------\n",
" class:`matplotlib.axis.Axes`\n",
" \"\"\"\n",
" import matplotlib.pyplot as plt\n",
" \n",
" n_full = len(series)\n",
" if n_full <= 2:\n",
" raise ValueError(\"\"\"len(series) = %i but should be > 2\n",
" to maintain at least 2 points of intersection when autocorrelating\n",
" with lags\"\"\"%n_full)\n",
" \n",
" # Calculate the maximum number of lags permissible\n",
" # Subtract 2 to keep at least 2 points of intersection,\n",
" # otherwise pandas.Series.autocorr will throw a warning about insufficient\n",
" # degrees of freedom\n",
" n_maxlags = n_full - 2\n",
" \n",
" \n",
" # calculate the actual number of lags\n",
" if n_lags is None:\n",
" # Choosing a reasonable number of lags varies between datasets,\n",
" # but if the data longer than 200 points, limit this to 100 lags as a\n",
" # reasonable default for plotting when n_lags is not specified\n",
" n_lags = min(n_maxlags, 100)\n",
" else:\n",
" if n_lags > n_maxlags:\n",
" raise ValueError(\"n_lags should be < %i (i.e. len(series)-2)\"%n_maxlags)\n",
" \n",
" if ax is None:\n",
" ax = plt.gca(xlim=(1, n_lags), ylim=(-1.0, 1.0))\n",
"\n",
" if not change_core:\n",
" data = np.asarray(series)\n",
" mean = np.mean(data)\n",
" c0 = np.sum((data - mean) ** 2) / float(n_full)\n",
" def r(h):\n",
" deno = n_full if not change_deno else (n_full - h)\n",
" return ((data[:n_full - h] - mean) *\n",
" (data[h:] - mean)).sum() / float(deno) / c0\n",
" else:\n",
" def r(h):\n",
" return series.autocorr(lag=h)\n",
" \n",
" x = np.arange(n_lags) + 1\n",
" y = lmap(r, x)\n",
" z95 = 1.959963984540054\n",
" z99 = 2.5758293035489004\n",
" ax.axhline(y=z99 / np.sqrt(n_full), linestyle='--', color='grey')\n",
" ax.axhline(y=z95 / np.sqrt(n_full), color='grey')\n",
" ax.axhline(y=0.0, color='black')\n",
" ax.axhline(y=-z95 / np.sqrt(n_full), color='grey')\n",
" ax.axhline(y=-z99 / np.sqrt(n_full), linestyle='--', color='grey')\n",
" ax.set_xlabel(\"Lag\")\n",
" ax.set_ylabel(\"Autocorrelation\")\n",
" ax.plot(x, y, **kwds)\n",
" if 'label' in kwds:\n",
" ax.legend()\n",
" ax.grid()\n",
" \n",
" return ax"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "ImYgG-h8Y0-x",
"colab_type": "code",
"outputId": "54c786d2-587a-4669-e3dc-0b0787ba266c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 362
}
},
"cell_type": "code",
"source": [
"# Use the same sample data in the example of autocorrelation_plot in the documentation\n",
"# https://pandas.pydata.org/pandas-docs/stable/user_guide/visualization.html#autocorrelation-plot\n",
"\n",
"from pandas.plotting import autocorrelation_plot\n",
"import numpy as np\n",
"import pandas as pd\n",
"from matplotlib import pyplot as plt\n",
"\n",
"spacing = np.linspace(-9 * np.pi, 9 * np.pi, num=1000)\n",
"\n",
"data = pd.Series(0.7 * np.random.rand(1000) + 0.3 * np.sin(spacing))\n",
"\n",
"data.plot()\n",
"plt.title(\"original data\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
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47CVzv3uzh0ICUS0rCIJhW22uoUzhKJfM9SFPuuIVpJpgfBByKhUarFr+uDoX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\nHKHMBQKBQCDgHKHMBQKBQCDgnP8PSE+bw0UdPzkAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "Jz_Vt150kvVI",
"colab_type": "code",
"outputId": "2dac8f73-1c74-4d5c-a9b6-88a2b2135ab8",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 35
}
},
"cell_type": "code",
"source": [
"len(data)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"1000"
]
},
"metadata": {
"tags": []
},
"execution_count": 9
}
]
},
{
"metadata": {
"id": "GEFpqVxNY9PC",
"colab_type": "code",
"outputId": "8a506f78-fae3-4f62-a55a-da008e1a9f3e",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1094
}
},
"cell_type": "code",
"source": [
"# generate plots for visual comparison\n",
"\n",
"autocorrelation_plot(data)\n",
"plt.title(\"original autocorrelation_plot in pandas 0.24.2\")\n",
"plt.show()\n",
"\n",
"autocorrelation_plot_forked(data, n_lags=len(data)-2, change_deno=True)\n",
"plt.title(\"change denominator to n-k instead of n\")\n",
"plt.show()\n",
"\n",
"autocorrelation_plot_forked(data, n_lags=len(data)-2, change_core=True)\n",
"plt.title(\"change core function to pandas.Series.autocorr\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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AwAsvvICPP/4Y06ZNQ2JiIl566SWsXr0ap0+fxoQJE7By5Up8+OGHdfZ59913kZCQgOjo\naCxcuBDvv/9+veO2Vnh4OB566CFMnToVc+fOrZeBP3fuXAQGBmLq1Kl48MEHMXbsWH68fvLkyXj1\n1VexcePGdrXBYuTIkXj33XcRFRWFnJwcPPvss03+zTQVHIwbNw6DBg3iP7/as0JefvllLFy4ENOn\nT4dGo8Gjjz6KZcuWwdnZGcHBwZg2bRqmTp2Kf/3rX3jrrbfqHTs6OhqjR4/GjBkzMGvWLEyaNAnj\nx48HULfuxI8//ojy8nI8/PDDiI6ORnR0dIvqO/zjH//AoUOHAJiD2PPnz/P7R0dH27yuBbEPjjWW\nwUWIA2KM8cHAiBEjsGnTJvTs2dPOrSKtNX78eHzyySf1egnsYfXq1fy0TEII9RiQ28iiRYuwfv16\nAMDJkyfBGENoaKh9G0UIIXcYuyQfpqSk4MUXX8T8+fMxZ86cOs+dOHECq1atglgsxpgxY7Bw4UIA\nwAcffICkpCRwHIeYmJgWd62SO8fLL7+MN998Ezt27IBUKsUnn3wCuVxu72aRBljGtxsyc+ZMG7eG\nENIaNh9K0Gg0eO655xAaGooePXrUCwymTJmCDRs2ICAgAHPmzMF7770HpVKJDRs2YN26dbhx4wZi\nYmL4RChCCCGEWI/NhxKcnJywfv36emVJASAzMxOenp4ICgriS6CePHkSJ0+exIQJEwCYS32qVCqo\n1WpbN50QQgi549k8MLBUMWtIYWFhnYp3Pj4+KCwsRFFRUZ057pbfE0IIIcS6bssCRy0Z/SgstN4c\nZ0IIIcTR+fu7N79RCzhUYKBQKFBUVMQ/zs/Ph0KhgFQqrfP7goIC+Pv726OJhBBCyB3NoaYrBgcH\nQ61WIysrCwaDAYcPH0ZkZCQiIyNx8OBBAEBycjIUCkWdal6EEEIIsQ6b9xhcvHgRH3/8MbKzsyGR\nSHDw4EGMHz8ewcHBmDhxIpYvX47XXnsNgHmGQlhYGMLCwhAREYHZs2eD4zjExsbautmEEELIXeGO\nrXxIOQaEEELuJtbKMXCooQRCCCGE2BcFBoQQQgjhUWBACCGEEB4FBoQQQgjhUWBACCGEEB4FBoQQ\nQgjhUWBACCGEEB4FBoQQQgjhUWBACCGEEB4FBoQQQgjhUWBACCGEEB4FBoQQQgjhUWBACCGEEB4F\nBoQQQgjhUWBACCGEEB4FBoQQQgjhUWBACCGEEB4FBoQQQgjhUWBACCGEEB4FBoQQQgjhUWBACCGE\nEB4FBoQQQgjhUWBACCGEEB4FBoQQQgjhUWBACCGEEB4FBoQQQgjhUWBACCGEEB4FBoQQQgjhUWBA\nCCGEEJ7EHif94IMPkJSUBI7jEBMTg379+gEA8vPzsWTJEn67zMxMvPbaa6iqqsIXX3yBTp06AQBG\njhyJF154wR5NJ4QQQu5oNg8MEhMTkZ6ejm3btuHGjRuIiYnBtm3bAAABAQHYvHkzAMBgMGDu3LkY\nP348Dh48iClTpmDp0qW2bi4hhBByV7H5UMLJkycxYcIEAEDXrl2hUqmgVqvrbbdr1y5MnjwZrq6u\ntm4iIYQQcteyeWBQVFQEb29v/rGPjw8KCwvrbffTTz/hoYce4h8nJibi6aefxrx583Dp0iWbtJUQ\nQgi529glx6A2xli93509exZdunSBm5sbAKB///7w8fHB2LFjcfbsWSxduhR79+61dVMJIYSQO57N\nAwOFQoGioiL+cUFBAfz9/etsc+TIEdxzzz38465du6Jr164AgIEDB0KpVMJoNEIsFtum0YQQQshd\nwuZDCZGRkTh48CAAIDk5GQqFgu8ZsLhw4QJ69uzJP16/fj1++eUXAEBKSgp8fHwoKCCEEEIEYPMe\ng0GDBiEiIgKzZ88Gx3GIjY3Fzp074e7ujokTJwIACgsL4evry+8zffp0vP7669i6dSsMBgNWrFhh\n62YTQgghdwWONTTIfwcoLCy3dxMIIYQQm/H3d7fKcajyISGEEEJ4FBgQQgghhEeBASGEEEJ4FBgQ\nQgghhEeBASGEEEJ4FBgQQgghhEeBASGEEEJ4FBgQQgghhEeBASGEEEJ4FBgQQgghhEeBASGEEEJ4\nFBgQQgghhEeBASGEEEJ4FBgQQgghhEeBASGEEEJ4FBgQQgghhEeBASGEEEJ4FBgQQgghhEeBASGE\nEEJ4FBgQQgghhEeBASGEEEJ4FBgQQgghhEeBASGEEEJ4FBgQQgghhEeBASGEEEJ4FBgQQgghhEeB\nASGEEEJ4d2xgYGLM3k0ghBBCbjsSW5/wgw8+QFJSEjiOQ0xMDPr168c/N378eAQGBkIsFgMAVq5c\niYCAgCb3acwvJ9Jwf2SYYK+DEEIIuRPZNDBITExEeno6tm3bhhs3biAmJgbbtm2rs8369evh6ura\nqn0acvhsNqaNDIWI46z+OgghhJA7lU2HEk6ePIkJEyYAALp27QqVSgW1Wm31fQBApdZDqapsf6MJ\nIYSQu4hNA4OioiJ4e3vzj318fFBYWFhnm9jYWDz22GNYuXIlGGMt2qcx2UUV1mk4IYQQcpeweY5B\nbeyWBMFFixZh9OjR8PT0xMKFC3Hw4MFm92nK1YxS9O/m1+52EkIIIXcLmwYGCoUCRUVF/OOCggL4\n+/vzj2fMmMH/PGbMGKSkpDS7T2O83JxwIDEDnm5OmDQ0BBzlGhBCCCHNsulQQmRkJN8LkJycDIVC\nATc3NwBAeXk5nn76aej1egDAqVOnEB4e3uQ+TblveGcAwLZD1xF/KV+IlyMYnd6IU1cKWtU7Qggh\nhFiDTXsMBg0ahIiICMyePRscxyE2NhY7d+6Eu7s7Jk6ciDFjxuDRRx+FTCZD7969ER0dDY7j6u3T\nEsH+NTMbCkq0Qr0kQXy1+yIupBZjXnQPRA3oaO/mEEIIuYtw7A69Lb1wNR8x38QDAGaODsP026Sm\ngVZnwMJ/HuMfU3BACCGkJfz93a1ynDu28qG3u4z/uaLSYMeWtFxmgbpOUAAA3x24Ck1llZ1aRAgh\n5G5zxwYGMqmY/zkjvxyZBc3XPrC3y2nKBn//zd5LNm4JIYSQu9UdGxgAwNevRkHEcbiSUYrYfydC\npzfau0lNcpY3nPJx/kaxjVtCCCHkbnVHBwYyJzG6dPDgH5dr9XZsTfO0uoYDFyfpHf0xEUIIcSB3\n/BWndmCg1jr2WL0ll+CVR/rX+b3JxGAy3ZE5ooQQQhyMXSsf2kKAtzP/c7nG0QMDc5Kkh4sTYucP\nhbuLFNuP3kB8cj7S8srrBDmEEEKIEO74HoPaJZHVDhwYVBlM+P10FgDARS5B50B3+HjI4eVqnl3x\n/vd/2bN5bZaRX46i0turjgQhhNzN7vjAwMdDjgX39wYAlDvoUIKJMby2Jo5/7ForCbF7iBf/8+1W\nckJfZcTyjaewdO1JezeFEEJIC93xgQEA+LjLAQBqB00+zFdq+PyHewcFw0Uu5Z/r380Xnm5OAICE\ny7dHaWetzoDPf0rCz3/eBADcXuEMIYTc3e6KwMDN2XyhddQcg/T8cgDAjNFheGJS9zrPcRyHEIV5\nbYhv9twe9QzOXivE+RvF2J+Qwf+OijQRQsjt4a4IDNxdzIGBo+YY5BVrAABdO3o2+Lyz0+2VI6qq\nqN8z8+mWc/h0y9nbbjiEEELuNndFYOAql4IDkKfUOOSFyVKy2d1Z2uDzj00I5382mkw2aVNbmUwM\nR8/l8I9njukCjjP3ilxOL7ltylMTQsjd6q4IDEQiDgxAdlEFkhspO2xPlm52l0YqH3q5yTCslwIA\nUFbhmL0eFgWlWhSUaNHBzxUblo7D9JGhiOwbxD9fUq6zY+sIIYQ0564IDGpzxPLClvoFrvKGewwA\nc3AAOPaFlTHGr2g5qLsfOI4DAHT0q1kC25HbTwgh5C4KDEb1M9+1erg42bkl9VXoDOA4QO4kbnQb\ny2qRjnxhLVXX5BZ4utasbukik9TaxnHbTwgh5C4KDMb07wAA0Oodb4xbU2mAi0zC32E3xBIY3Mwt\ns1WzWq2wViGj2rUYhvUO4IOeTfuvOPRrqC1fqcGxpJzmNySEkDvIXRMYWC5MlQ62wuLqHeeRU1TR\n5DACUBMY7ItPh1bneMENYK5yaCGV1PxpyaRiLH18EP94+5EbNm1XW8X+OxGb9l/BjWyVvZtCCCE2\nc/cFBo2sYGgvZ68VAQBcnZuekujnWbPmg7KsUtA2tdWhM9kAgMHd/TEw3L/Oc5Ypo4C5IuLtQG8w\nzwBZsfk0Ljtg0iohhAjhLgoMzBfeSgccSgAAibjpj8LbXYZO1YWOyhywHoPJxFBQokXXDh5YOKsv\nRKK6wyKutaZi6m6TwKC2T7eew4+HrmPnsVSYHHDKKyGEWMtdFBg45lCCRVP5BRajq/MkyhooIGRv\nZRo9TIzB20Pe4PMyaU1ipaN+BrVdSS+p97sDiRn45UQa0nLLG9iDEELuDHdNYCARiyCViByqx6DK\nUFOsSCxqPjDwdDXPqCjTOF5gYEko9HJrftZHqVrv8Hfde+JuNvqcqoJmVhBC7lx3TWAAAM5OYmgc\nKMfg3/su8z8/MbF7E1uaWcbpHXHK4uodFwDUBC8NeWFGHwCAwWiCSu14wY3F+r2XcCWjFJ0D3Rt8\nvtQB339CCLGWuyowcHWWOtRiPgmXzKsl9uzkhQ61igA1plOAOyRiDhdTHSsRrnagMriHotHthvZU\nYMqIzgDqTm10JCYTw8nkPACAr4ccHz1/D5Y+PrBOLYa4i3m3ZZ4EIYS0xN0VGMilqNAaHGK9hPJa\nwwEtXT/AWSZB71AfZBWqUeBAF9bMAvOY+8zRYQj0cWlyW38vcw6CowYGeUoN//OkoSFQeDmjRydv\nBPrWvK7UnDJ8d+CKPZpHCCGCu6sCAzdnKUyMISWz1N5NQZGqZsqhWtvyXoyB4X4AgORUxyntrCwz\n9xj4ejaceFibv5d52qWjBgb51YHBrDFd0D3Ei//9wpl98cCoMP5xfHK+zdvWHgUlGuhug6RPQoj9\n3VWBgSXh7eP/nrVzS4CKWkMa9w4ObvF+Qb7mIQelA41zK8vNQY6P++0fGFh6bzxvSaL0dpfhgVFh\n/GJWABw+gdKiVK3DG+vi8c8fz9m7KYSQ28BdFRgUqxynMFCF1nwBuj8yFNHDO7V4P8sFy5GS9yw9\nBt4esma2BHw8ZBBxHApLHeezqI1f6VLWcCXKZ6b1Rp8uPgAcc9rorXR6I3YfN8+wSMlSYe3PFx1y\nITFCiOO4qwKDkOoCQY7A0mMQ5OsKUQtqGFh4VS9OVOpAU+aKSrXguJb1GIhFIvh6yhyyx4Axhr0n\n0gDUXeuhNolYhA7VvTbFDlqBsrZ1e5LrrPeQeLkAn/+UdNv0dhBCbM/mgcEHH3yARx99FLNnz8b5\n8+frPBcfH49HHnkEs2fPxptvvgmTyYSEhASMGDECc+fOxdy5c/F///d/bT73nEk9AJiT+Oytojqv\noLlSyLeSOYkhdxKjzIF6DPJLtfD1kNdZH6Epvh5yqCr0uOhAeRIAcO56ET+U4NJIYACY2w+YkxAd\nFWMM++PTce56UYPPZxWobdwiQsjtwqaBQWJiItLT07Ft2zasWLECK1asqPP8O++8gy+//BJbt25F\nRUUFjh8/DgAYNmwYNm/ejM2bN2PZsmVtPr+LXILwYE9U6gx2v2OyXICaWzypIZ6uTih1kG5snd4I\nlVoPhbdz8xtXC6qemnn4bLZQzWqTfGVNL0ZTgUGPTuakxGPnHHflxcwCNX66ZbGq5+6P4H/ecTTV\n1k0ihNwmbBoYnDx5EhMmTAAAdO3aFSqVCmp1zZ3Lzp07ERgYCADw8fFBSUn9srTt5SqXgsH+iymp\nqi/s7s5tCAzcZCiv0MNoMjW/scDyS8xZ/Arvpqcp1vbYveEA6s7McAS5xRX8z00FbJ0C3NFJ4YaC\nUq1DTH1tiCXvY3D3msWshvcOwGcLI9E9xAsXUouRU1TR2O6EkLuYTQODoqIieHt78499fHxQWFjI\nP3ZzM+cAFBQUIC4uDlFRUQCA69ev4/nnn8djjz2GuLi4drXBMoxg70JHGfnlcJaJ4dOCKX638nR1\nAgNQ7gCLKRWUmO+yA1rRYyARi9ApwA15So3de25qs0xV7NnJi19bozFe7jJUGUwOW89AozP/bfTt\n6ot35g/ByhdHAjDPrhjdLwgA8Pa3CTie5Li9HoQQ+7Br8mFDd1vFxcV4/vnnERsbC29vb4SGhuKl\nl17C119/jY8//hhvvfUW9Pr1Ge1eAAAgAElEQVS2d6Nbygqr7NgVr6syIq9Yg84B7q1KPLRwpJkJ\nNT0GLQ8MAHPSZZXB5FB3rQWlWvh6yPCPxwc1u6hVqdp8R34sKdcWTWs1bXWPmLNMgtBAD/jUWtyq\nd6gP//PO4zSkQAipy6aBgUKhQFFRTTJUQUEB/P1rujrVajWeffZZLF68GKNGjQIABAQEYMqUKeA4\nDp06dYKfnx/y89teXMZSma92hTtbq9BWgQHwcmt+el9DLPtZLk72VNNj0PKhBAAIqv4c3tmQiOSb\n9i/xXFCqRala3+IhkX5d/QRuUdsxxrAvPh0A4Cyr3/Ph7S7D8r8NhZuzFCq1HlUGKnxECKlh08Ag\nMjISBw8eBAAkJydDoVDwwwcA8NFHH2HevHkYM2YM/7s9e/Zgw4YNAIDCwkIUFxcjICCgzW1whMDA\nsuxwc93VjbEsVGTPXg+LghItONSUOm6poFprQ5y6Yv8qgtv+uAYAGNqr8bUears/MhROUvN/n9qr\nZDqCT7ec5devaKweQ6cAd/Tr6gvAvNrl7UCrM+BfOy/g3Y2n8NeVAgpoCBFIs3Pl4uPjsXnzZqhU\nqjpd/z/88EOrTzZo0CBERERg9uzZ4DgOsbGx2LlzJ9zd3TFq1Cjs3r0b6enp2L59OwBg2rRpmDp1\nKpYsWYI//vgDVVVVWL58OZycml/atzGWmvd5xY4QGLRt2qRlKOH4+RyM6d/Bau1qi/wSDXw8ZJBK\nWhfk9Opck2sS6NP8AlJCUmurcO5aEUID3RHVwvdTIhZhcHd/nEzOR/ylPIzuZ9/PwaJMo8eVjJqS\n3w31GFhYep4KS7V8RUpHlVtcgbfWJ/CPv9p9ETNHh2F6ZFgTexFC2qLZK1NsbCxeeOEFdOhgnS++\nJUuW1Hncs2dP/ueLFy82uM/atWutcm7AfLctdxLbucfAPFWxrT0GliJHN7LLcDm9pM5F1pZ0eiNK\n1fo2nd/NWYpHxnXDj4ev2312xZX0EjCY16FoLregNi938+ewcd8V9OrkDT8HuLhahnYsmgo+Pap7\nnlZuPYd/vzFe0Ha1V0NrU5xJKaLAgBABNBsYBAcHY8aMGbZoi01wHIcgXxdkFlTAZGIQiVqf/Nde\n7R1K8KhVx19px+p7lhUeWzMjobawIHcAgL7KvoFBdnUCZJcOnq3az7tWjkh6vtpBAgNzwNs50B1+\nnvJ6az7U5uNe037GWKuCIlspq9Dji+3ncTPXXExq4cy+6OjvimXfJjhU9U9C7iTNBgajR4/Gtm3b\nMGzYMEgkNZuHhIQI2jAhBfq44GZuOYrKKqGww5e5pcdA1sbAwK1W7QN7Tlm0zChoTQ2D2izDD/Ye\noy9SmQMcv1bmSXjXurBmFpRjcA//Jra2DUuRpofHdq0z+6Ahg2rVOKjUGx2iImhtOr0Ri1f/yT92\nc5by73FYkAdSc8pgYqxNM3sIIY1r9pvg+++/BwCsW7eO/x3Hcfjjjz+Ea5XA+ATE4go7BQbtyzEQ\ncRyentoLG/532a49BpZ1BTr4tS0wsCTv6e2cRFZUWgkOLVvrobbaAZqjLKhk6cVpyfRRkYhDZN9A\nxF3IQ7lG73CBQUZBeZ3HvrWmXLq7mJdQ/+e2c+gd5oP7hne2dfMIuWM1+01w6NAhW7TDpgKrF8HJ\nKdKgX1fbn3/XMfPc8bYOJQBA/27m6XKZdqx5X6yqhEwqRp8uvm3a36l6bQV7DyUUl1XCy13W4rUe\nLAJ8agIitdb+xaYA81CCRMy1OMix5BmUVVRBYZ9UlQYZjCZ8+J8zAIBpI0NxPasUj4zvxj9vCcqS\n00qQnFaCvmG+CHagRdIIuZ01+01YUFCAmJgYTJ8+Hffffz/eeecdKJX2n3feHl2CPMABOJ1SYPNz\nM8b4dRIsX8pt4eYsRbdgT6RkltrlomQ0maCrMiIsqG1FmoCaoQR79hgwxqCq0MOribH4xni5yfDZ\nwkgAjhEYMMaQrzTPMGhp7oyni/l1X0pzrP/TSbUWf4rsE4h/PD4IoYEe/O/cbiklfialELeD7KIK\nvLU+Hul55c1vTIidNBsYvPPOO4iIiMCqVauwcuVKdOnSBTExMbZom2B8PeUIDXJHWm65zWvdW4YR\nACA00L1dxwoL9ABDzRi5LdWurNdWlqGES2klKLLTMsxanRFVBhM8XdtWbMrbXQa5kxhqrcHKLWu9\nikoDNDpDq4pNDempgJuzFPsTMqBygIJZFkeqF9ha+vjAOj0zFrfW8EjPvz0utPvj05FbrMHn25Ng\nMjlOOXBCams2MNBqtXjiiScQHh6O7t27Y/78+dBo7DfVz1pcnaUwmhj0Nk5801T3FoyICGh3Frgl\n+a2kzPZf6JU68+toV2BQ3WOg1lYhZn28VdrVWqrqzPb29t5U2HntDQBIzVEBaF15ah8POWaN6QJd\nlRH/q66WaG+MMVzPLkNHf1f06NTw+Mat9TvsOf24pfKVGpy/YV5qXKXWY/0vl/BrYgZ+PHTdzi0j\npK4WBQYFBTVd7nl5ee1aq8BROFcn/ml1tr3Ts1xAXBupSNcafGBghzs9jRUCA4m4JjAyGO1z92RJ\nGvRsR2Dg7iJFuUYPg9G+uRIb95sXdGroDrspo/sHwVUuwZmUQodYLTJPqYGuythkz0f3EC+seikS\nj4zrhs6B7igo0dp9dktTjCYTYjcm1hlySriUj62HruNAYgZUFXp+ES9C7K3Zb/UXX3wRs2bNgr+/\nPxhjUCqVWLFihS3aJijLBU2rM7R5zYK2sPQYuMjbnwFuCQyUdugx0FohMHCEefOWKZe+bVjl0iIs\nyAM3c8uRmlOG7iFe1mpaq1QZTCivMF90RvRuXclwsUiEiDAfJF4uQE6xBh397FuJ8v3v/wLQ/P8R\nLzcZood3QlmFHul55fj1VAam3hNqgxa2XvJNZZNJtkvWxMFoYljx7HAE+dr3/Sek2W/1sWPH4vff\nf0daWhoAICwsDDKZ7S6kQnGxLL9s4x6D//6eAgBwtUJg4Fd9MSu0w/j8dweuAqiZWdBWA8P9cPZa\nUfMbCuRyegkAoEentl/Qe3byxqEz2biRo7JbYJBVqIaJMYwb2LFNwVqfMF8kXi7AxdRiuwcGlvyV\nfi2c7TJhSDAOn8vGz3/exIQhIZBJ2z7bRyhnUsx/4wtn9kWXDh749pdLKFXrkFtdmt1YnW+QmlNG\ngQGxu0a/QXbs2IEHH3wQX3zxRYPPv/zyy4I1yhYsNeQrdbbNiM8qNN+hGq2QeOTlLoOTRMQvfWwr\nOr2RH9Ntb4Dz9wf74aMfzuBaZqldKlEWqirhJBG1q56FpS5GYan9akpcTDWPXYcHt656o4UlMEqz\nc7a8wWgCxwEd/FxbXDDKx0OOcQM64kBiBq5nqRAR1nRhJ1syGE3462oB0vLKIBFz6N/NFxKxCK8/\nNhCAOZ/iyNlsbP7VfMNwO+RKkDtfo7d7IpH5KbFY3OC/213toQR7GNar7StEWog4DgpvZ+SXaG06\nNvzRD2f4n0f2CWr38VzlEjDYvvcGALSVBrjIJe0a1rBUTLRHzw1g/hv+7a8sSCUifsXE1vL1lMNJ\nKuKHVuyltFwHxoAQhVurPpO+XczBgCOs1Fnb/333F77ZcwkZ+WoE+bpCIq77lctxHMYNCsYXi0aB\nA5CSWdrwgQixoUZv92bOnAkAcHNzw/z58+s89+WXXwraKFuwBAZqG2aTmxgDByA8xKtdY9q1+XjI\nkVVYYdOStpapYR6uTm0u61yba/Wc9IrKqnrz04Wm0RnaNSMBMFew9HCR2i0wyFNqoNZWIWpAB7jI\n2/b+iTgOQb6uyC603xoiAJBTbA5M/D1b14PTo7M33JyluJLuOBfWC6nFdQqQDWtiSW93FyeEB3vi\nWpYKJeW6OuW2CbG1Rq8k8fHxiI+Px549e6BSqfjfGwwG7Ny5E4sWLbJJA4XSoXocNS23HBhgm3Pq\n9EYwAM5WuJhauFZfCCq0VTYvaWuwUha4G/8aDIANq+8xxqCpNPBDAe3h7+WMtLxyGE0miEXty7to\nLcvMCr92BpsdfF2QnleOQpW2VbUQrMlyYe/eypwPEcfBz9McJDvKglCWqYkW941oumzz0F4BSMlS\n4fTVAkwY4vhr0fx5PheMMYy289LvxPoavZJ06dIFhYXmamK1hw4kEglWrVolfMsE1jnAHc4yMa5l\n2e4OwxqZ/Ley3GGrK6vgB9uu+2CtioWuzub3w9a1AHRVRpgYs8oMEX9vZ9zIKUNJmc7mqyxaFtJy\nd2lfz4clWM4t0tgtMLicXgKJmEO3jq3PlfB2lyEtrxwVlQab9zw1JC2vDGIRh7efHAIXuaTZCqG9\nQ81RcUa+/cqct9TmX6/i8BlzEaq4i3l4aVZfh3jPiXU0+o2oUCgwffp0DBw4EMHBwXWe+/777zF8\n+HDBGyckkYhDoI8rMvLLbdZ1Kkhg4FIdGNihJO9EK93V1O71sCV+6qgVPg9L13dBqdb2gYHW3GPg\n0d7AoDobPqtQjQHhfu1uV2tpKquQkV+O7iFebZpZYBm//9fOC3jjiUHWbl6rnL9RhBvZZfB2l6Fz\nCyucWnp8/ryQi1lRXWw6jbo5RpMJJy/mQ1lWCXdXJz4oAMx5Ef/+32UseqifHVtIrKnZb8Ty8nK8\n/PLLKCkxT+vS6/XIy8vDk08+KXjjhKbwdsbN3DKUlOusNubfFK1lVUWZ9YYS+B4DG15UXWTmZMFZ\nUV2scryaHAPbJR8yxrD96A0AgLMVegwswxG5xZpmlzu2tsTL5gJk7i7tu2MLDTKvRZCaU9buNrVW\nfokGb66Lr25H20qFdw/xwqkrBQ6RwPf5T+cBACXlLa8xYlk7BAA++e9ZfLBghNXb1Va/ncrCj4cb\nr9B47noRnvrIvODeoof6oX9XX4cYziFt0+xg6LvvvotJkyZBpVLhqaeeQmhoKD755BNbtE1w/tXZ\n5AU2Shqz3KE6t3G55YbwgYHGNoEBYwy6KiM6+rlabSzdMuXRlkMJeUoN4pPNGey9O7f/Qt7R33y3\nnV1o225gtbaKX5CnvTkG3u4y+HrIcDPX9oHByYt5/M+trdxoETWgA5+0t2bXBYeo4tjaWSI9q3Mr\n8pQah6rkmKesP1tl4pAQfLBgBGaODqvz+y+3n8feuDQbtYwIodlvdrlcjqlTp8Ld3R1jx47FihUr\nsGHDBlu0TXCWrldb3W1bvnCtkexm4VZ9UbXVazAYTTCamFVmI1i41k4+tJF8pTkYHDeoY4vnyzcl\nyNcFIo5Dlo2n+1mmFw7u7g9PK3Q9+3rIUVahh9Fk24tS7TtrzzYOiUjEIkQNMCfCnb5aaJeKoID5\n/4gln+CZab1bte/fH+yHAdVLqjtKTQMTYziWlMs/7ujvipdm9cVjE8IR6OOC6ZFhePepYXUqbp5M\nzmvoUOQ20eytq06nQ0pKCmQyGRITE9GtWzdkZ2c3t5vdbd78bYO/HzBgCPr2NU9DSL1+CYAUh48c\nxpVTNYVdAgKCMGnSVADApUvncfp0YoPHevzxv0EsFqOkRIlfftnZ4DZjx05ESIg5G/nP01cAyHA+\n4RdcPlXzxdujR28MGzYSABAXdxSpqdfqHcfd3QMzZjwCALh58zr+/PMIAEBd5QQgGKfPJaE87RBm\nznwUbm7uqKysxE8//afBNg0fHonu3XsBAP73v11QKovrbRMSEoqxYycAAM6ePYWLF5MAAHqjCEAo\nCnIzsWVLEh57bB4AIC8vB7/9tq/B802ePB0KhflL44cf/g3TLRcdyzGzqu+2Dx06iOzszHrH8fNT\n4L777gcAXLmSjFOnTjZ4vtmzn4RU6gSVqhR79mxvcBuJ/xAAQO/O3ti5cysqKurf6Xfr1gP33DMa\nAHDy5HFcv3613jaurm6YNWs2pBIxfNwlSMtW4vvvv8Wtvaj33/8QPD29UFWlx9at3zfYpqFD70HP\nnhEAgP3796CoqP6y4B07hmD8+MkAgKSkMzhw8hoAf1QUXMLmzQkAzDVInnjiKQBAQUE+Dh7c2+D5\nJk6cgsBA84V0y5bvYDBUoUSpAIMbNn7/HWRiI/r06Y+BA4cCAI4c+R2ZmWn1juPj44upU83Tm1NS\nLiMhIa7B8z388BzI5XKo1eXYtWsb/3sTA47nmIelBnZxRd/qu+zdu39EeXn93osuXcIRGRkFAEhM\nPIGrVy/xzxVqXQAEAgDKNHr4esqRmZmOI0d+a7BN06bNgre3D4xGI/77340NbjN48DD07m0eP//1\n1/8hPz+33jZBQR0xYcJ9AIA/E87CxBiCXMqwa/t3dbabO/cZAEBxcSH27fu5wfN1ChmBc9eB40k5\nECsToNfXD3B69eqDIUPMQw3Hjx9CWlpqvW28vLwxffqDAIAbN1Jw4sSxBs/34IOPwcXFFRpNBXbs\n2FLnOcaAhPwQAObgfd2SKBzYvxvJCReQnHBLm0K7QB3mg4s3lShWaRv8f+DkJMOjj84FAOTkZOGP\nPw402KYpUx6Ar685YG/Jd/nvv+9Hbm7965JQ3+Xbt/8ArbZ+T3N7vstv1Zbv8vnzrTPE32yPwZIl\nS5CRkYFFixZh2bJlmDRpEqZNm2aVk9ubJb/JwGwzFqY1iOEkMkAqst7dmFRkzluoMtmm6JSRVRe+\n4qz3GpzEJvi5i3AtS2Wz7tPicnMPS1u7rRui8JTCwMRQ6myXfKgxmL+wnSXWWdjMqfrvSW+0XRGz\nQm1NCeBpQ33rFQFqDW9ZzZf1rUsz20pJhfk9dJG0rRdvYFcPeLvLEHcxD/ZemVmll0NrNP+NPTu9\nd508iIa8+ugAjIgIgMEEaA00S+F2xTFHGIgTQGFh86Vdk9OU+GzrOcwYHYb7I8Oa3b49GGN4/rOj\n6ODnitj5Q6123CqDEc+tPIqIUG+8Nnug1Y7bmLPXCrF6xwXcHxmKGaOtk3wIAP/+32X8eSHXZovI\nfPLfM7iaUYqvX4uCk5Vq6//85038/OdNAMCqlyJtklX+xU9JSLpRjC9fHm2V6WJ7T6Rh17FUvPpI\nf/Rp4VoF7bUn7iZ2Hze/b/9+Y3y7jxd3IRcb/ncZfp5yfPLCyHYfrzUYY1i17RyS00rw9wf7YmB4\n24ap/vtbCn4/nYXXZg9AhI2TWWvbeSwVv5xIw8wxXTB9ZGiL9jl8NhubD17F3EndMW5QcPM7EKvx\n929b4u6tGg0MHn/88SazSn/44QerNEAoq1b9s9ltyvQynC7siBC3UnTzVAraniqjCH/mhcJPXoG+\nvtYt23o0JxQukioMVQg/xHNd5YNMtRcG+OXAW2a9tQHSyrxws9wH/Xxz4SsXPhn0RG4ngGMYGVh/\nyKKtCrUuuKg0d2MP8suGp0z4Me74vGAYmBijgtKtcrzcCjdcKVWgh1chOrjaZt2Ea6W+yKrwxGD/\nLHg4tf8uX1npjKRic6nukYHpkIlttx5KcaUzzhcHwVWiw2D/HIhFbbvvKtHJca7IPMzT3zcXPjb4\nP3ErnVGMhPwQMACRgemQtPC1aA0SxOeHQC42YIBfLuRiQ70hBUdjYgAHOHw7m/Pqq69Y5TiN5hgs\nXrzYKidwZJbucKNJ+Ep1muruOJnY+gl2UpEReqMYjAn/h62pMr8ON6l1u2nlEvP7UmkQvnqjwcRB\nZ5LAW2bd5K7aXceVRgk8IWxgYDBx0Bql8HKyXoDmKjW/BnPuim3oqoct5Fa6gHvVGk4o0Tkj0MV2\nM0XyNW4AgJ7ehW0OCgDA06kSfvIKFFW6Iqk4ECMCMuEsseV0XiC1zAdGJkKwq6rFQQEAOEsMCHBW\nI1/rjvj8TvCVVaCfn2OtYQGYX6NKL4PG4ISrpf4QwYRunsXo6GbfhcQcQaPfwsOGDeN/PnLkCLKy\nsjBnzhxkZGQgJMTxy3VaknyaUlKuQ+KaOISEhmPu/TMEbc9/f08BCrMwK3pUm7sXG2PYdxnHz+ci\nfNA03NMn0KrHvtVb6+PhAj2emveUVY97M7cM//fdXwjo3A9zp/Sy6rFvlZFfjuMbT2FARDjmTrJu\nvoyuums/YsBI3De86RK47XUxtRjHf0xC5OCeeDBqqlWOWWUw4oXPjsHZqxPmzp1plWM2Z8Xmv6DM\nLcff5s1vtjpgSw25qcRn286he8RwPDBK2GFCi4upxTj8YxJ8PGR48am57Z7HbzSZ8NnWc7iSUYqO\nPcdi6j2h1mloMy6lKfH5T+dhMJrg6yHH8hfGtfpzMZpMeOubBBSUalGsc8X0mXPtXrDpeFIO3Fyk\nOHouBy5yCT9d2cIEEVJU/igTd8bEoSHoE+YDfxsXK3MUzd4qf/rpp9i+fTt27jRnau7duxfvv/++\n4A2zBbmTZell4SPxG9nm8qh9BRi3nR4ZChHH4fA5YYcSGGMoUlUK8p+lc4A73JylSE4TdkgHqJkG\nFihA2d+ZY8x5F8Uq4ZdgtizhHRroYbVjSiViBPm5ILNADZONMt9Ky3XwdHOyWlAAmJckB1pXYKi9\n/vmTeeZO3y7WKe4jFokwZ1IPAEBBie2GErb8cQ0Go7k3dcyADm36XMQiEWLmDsbUe8zB8f74DKu2\nsbUOJGRg4/4rWL3jAs7fKK4XFET2DcSkoeYb3jylBpsPXsXStScRXz3tUmPjcu321my/7alTp/Dj\njz9i7lzzFJOFCxdi9uzZgjfMFmROYog4DhUCBwYmE0N2oRod/eovu2oNfp7OcHWWCF5SuKLSgCqD\nCT4e1o/8RSIOwf6uuJJRCoPRJMj7ZFFcZr5oW5ZLtiYfD/MxbTGH3hJ8+Fv5dXRSuCO7sAL5JRrB\nE0FNjKFUrUdoC8sGt5R39d3psaQc9O/qi4HdrdtLdyuTicGSrdXSJL2W8PeSg4Ntl/SuqqqZGTSq\nb9uXVfdwdcIDo8Lw66lMXM0osUbTWk1VoUdVlbFe1caRfQLRraMnRvYJ5JOPtToDUnPKcD27ZtHA\nb/ZewrbD16FS6zGgmx9eerCvVQNYR9VsYCCTmf+DWSJgo9EIo9F2yTxCEnEcPFylUKmF/RJXllVC\nbzChg79wX7IyqRiVemE/l3KNOa+gvaV3G2NZBKhcUyXosrOWQkpCLPriKpdA5iTmgw8hFanMFwtr\nl/Pu0sEDJ5PzkJJZKnhgoNZUwWhi/B2+tTjXKju+eucFq8x2aIqlBsfIPoF8cGgNUokYXu4ymwUG\nVzNK+Eqwzz8Q0e7/hxKxCEE+LsgoUOMfX5/AI+O6YUjPxpeftqaCUi3eWFu31oncSYzZ94ZjTAMr\nQjrLJIiZO5h/nHApH+v2JEOlNn/vnbtehGNJORg7oKOwDXcAzd6WDRo0CG+++SYKCgqwceNGzJkz\np07+we3O000GlVovaPlUy0XC14pfGLeSO4mhEzwwsM4qfo3xcLUEBsLOP9forLd40q04joOvh1zw\noQSD0YSMAjWcZWKrv44+YebpcRdvCjuswxjDLyfTANTc4VsLx7Vthca2OnIuBwAwUIDFp/y9nKEs\n09mkxse3v5iLRXm6OWFYr4Bmtm6ZQF/zkF2RqhJf7b5olWO2RNotpb2XPj4QX70a1WBQ0JDhvQPw\n9NS6+U7fH7h6V1R1bDYweOWVVxAVFYV77rkHeXl5+Nvf/obXX3+9zSf84IMP8Oijj2L27Nk4f/58\nnedOnDiBhx56CI8++ijWrFnTon3ay9tNBr3BxK98KARl9Tinj4B3wTInMXRVRkEDHEvZZaGWV7UE\nBmUCF6axjBe6yIV5Hd7uMmh0BuiqhAvUrqSXoKRchyE9FFZfrEbh7Qw/TzkupZUIWhr5Qmoxfv8r\nCwDQO8z6c/VfeaQ/APNMHaHLteRX5620dm2EllB4OYMBOHwmy+rHvpXl/8SC6RFWO+aEwSF1enCE\nvoExGE1YvzcZa39OBmBeQ+SzhZHo0cm71ceK7BuE5+6PqFPGfv3eSygT+ObF3poNDL755htER0cj\nNjYWb775JiZNmtTmkyUmJiI9PR3btm3DihUrsGLFijrPv//++1i9ejW2bNmCuLg4XL9+vdl92svT\nzXwxKlEL90Erq3sMrNnFeCu5kwRGE4PBKNwXoNBDCZ7VgYHQFessqzi6WmFVxYZY1uAQMsCxvEdd\nBbgr5jgOvUO9odUZkF0o3NoPp6pXhZx9bzi/PoA1OcskGBjuB8aEX0ukVK2Dm7O02cqAbWFJkt56\nqPHVDa2lTKOHv5ccvTq3/iLamG7Bnlj5YiQiQs3HFHJYxGRi+M+vKThZK7nwuXYOiQzvHVBvpcvF\nX/6JGzmqRva4/TX7zZiSkoL09HR07tz+qVcnT57EhAnm+vtdu3aFSqWCWq2Gm5sbMjMz4enpiaAg\nc7JLVFQUTp48CaVS2eg+TRk8uE+L2hTQOxqBEVPw+Ny5UBektOPVNa5D/5nw7z4OC5+fC22J9Qrq\n1Nb5nqfgFTwAkaNHwKgXZvEVRc+JCOo7HTFLF6E877LVj+8W0BNdx7yIFR9/hvzLDddQby+ZmwI9\n73sbAHDPiP6CnCOo3wNQ9LgXsx5+GBplmiDn8Asfi44DZiH27SUoy7FuL1rt4y+K/RcyTwlTzCz8\n3iWQe3bAmy9MxZtMmJ6JjgMfhl+30YieNg2VqhxBzgEAfWZ8An1FMQYPfsHqx5Z7dkCPSW8AaPn3\nWltInb3Qe9p7KM+/isGDF1j9+P7dx6FD/5l459+JuLzvPegriqx+Dr9uUeg48ME6v3v8ockw6Npf\ny8LFJxRdxy6CSGy+bK74/jTS4zehNPNMu4/dFLlHELxCBkLmEQSv4P4wVlVCXXANnEgEjhOhSqsC\nYwyMGXFy96dWOWezgcHVq1cxdepUeHp6QiqVgjEGjuNw5MiRVp+sqKgIERE1XVQ+Pj4oLCyEm5sb\nCgsL4ePjU+e5zMxMlJSUNLqPNVRpzVGfVC7ceKRIYo5WjVXCjTubDDr+XEIFBmIncyKaNf6TNUSv\nNn9ROLkJV4rXu/MQwY5tYag0F0iRyK2baV+bpPqzMOqFuaO3fBY+ocORk7RbgPNwkHkEQFeeDwgU\nFACArtzcKyH3CBQsMFzDJ/wAACAASURBVBBJZBBL5fx3ibVVqnJQlpsMj6AIiCRymAzW/x5xU3RH\n16iXAACqrCSrHx8AynIvQdFzIiQyNwQPfgSpx76y3sE5EToOfAh+XUfBZDTg8r7lYEYDnFx9rPZ9\npVGm4cLOVyGSOqNj/5nwCRuBDgNmQVdeAG2pdYZ5OJHUfNz+M2Ay6vn/57WJpXJ4duxrlfM1ptnA\nYO3atYKdvC3jfi3d5/TpliW5nLtehC+3n8erS5djyghhCtKs/fkiEi8XYN8vBwTLtt/861UcPpON\nHTv3o6O/dYKm2gpKNHhjXTwAYPf2nfAToJaBwWjC8yuPYtioSdi99k2rHx+oqf3u5ylv8d9Ia524\nmItvf7mM2P9bKVgG8+aDV3H4bDa2/OcHQT5vZVkllnx1AgDw3dYDVu1aBsxd+4u+OI6RQ/tjy0fC\nJaRdTi/Bp1vO4vnF7+Dhsd0EOUdKZik++uEMZk6bhCe+eEmQc3x34AqOnsvBax9swaPju1k9r2Tn\nsRv45UQ6JGIO+7Z+Jeh04WXfJiCH64nEU+chFlnnPFczSvDxf88CALp39sWmuBNWOW5Tdh9PxZ64\nNHSf+A8A5lyQF2b0Qec2TL0tq9BDra3CzmOpOJNSCAAQiaurzDpL0SPEC/27+UGrM6B7iBe83JzA\niTjIpGKUqnVgDFatO9JsYPDpp5/i888/t8rJFAoFiopquo8KCgrg7+/f4HP5+flQKBSQSqWN7mMN\nlmzoUgELoVimEVrGCoUgr56LK9SUxW21xjeFmpUgEYvg7+2M7MIKmBgTZL6w5XN+7dEBVj+2hY+7\npZaBcD1EljFzV4ESQX085Hgwqgt2HE1FVqHa6oFBRaWw7bcIrp4ivD8+A36ezhg30LqB2pmUQvxr\n5wUAQNeO1is0dauuHTxx9FwOfj2Vie4hXhhk5boMucXmXsaPnx8paFAAAGEdPJBdVIF/7biAhbP6\ntvt8jDEk3TAvHe/h6oQnJnS3RjObdf+oMHQOdMfOo6nILqpAQakW7246BQCYf19PDO2pgETMNZp3\nUlKuw39/T8Hpq4Vwkoigr5514uYsxaShIRjdvwPkUjHEYq7J9yhAgEJtzX4iwcHB2L59O27cuIHM\nzEz+X1tERkbi4MGDAIDk5GQoFAp+SCA4OBhqtRpZWVkwGAw4fPgwIiMjm9zHGvy85BCLOJy7XiRY\nBrblYi0TMDBwqU6kEyrJqnbbnaTCfXGEBbpDqzOgUKBKbyXVNSusPW++NoW3uTdFqGp1BqMJN3PL\nIOI4uAo0swIAelev6ifE1Et+houA7QfqBrGbD161+vEtq2kCQO/Owq2CGNk3kO/RPHut0KrHZowh\nPa8czjIJvNyEXyPjvuGdAABJN4qx4NMj/IyOtvrwP2dwICEDnq5O+Pi5e9p0x94WIo7DwHB/vDN/\nCD7/+6g6z23afwUL/3kMz608iv+dTMOxpBy8u+kUVv14DtezVUi6XoTX1sTh9FXzZ6k3mCCTijGs\nlwIfPTcC00aGwtPVCTInseCBWkOa7THYt29fvd9xHIc//vij1ScbNGgQIiIiMHv2bHAch9jYWOzc\nuRPu7u6YOHEili9fjtdeew0AMGXKFISFhSEsLKzePtbkKpdiREQA4i7kISNfjbAg60f9lXoDZFKx\noBWzLHXIhcrod3eu+cKwdjdmbSEBboi/lI/sogoE+Fg3EjYYTUjLLYOvhwwyKy213BAvdxkkYhHy\nBQoM0vLKUaSqxD0RAZBKhPvSsMwSKRWgAFhO9WwHV2fhF82ycLZyvYdyjZ6ftbHi2eH8dFshcByH\nB0aFYl98OuIu5GFIDwX6W2kmx39+TUGRqhLDell/6mtDbi2atXHfZbwxZ3AjWzduf0I6fjp8g3/8\nwow+gt58NUYqEUMqEWPB9N74Zu+les/vOJpa5/HF1Jr6IE5SEYb0UOCJid2t/vfZHs225NChQ1Y9\n4ZIlS+o87tmzJ//z0KFDsW3btmb3sbaenbwRdyEP17NVAgUGRkGHEYBaU/0EquJoqyqglm54IWrc\nZ+SrUVFpwFArFW5pjIjjoPB2RkGJlk/WtaaCEvMdVrdgL6se91Yerk7gAL7ymzVt3H8FgHA1MWpb\n/rehWL7xFLQ6A9TaKqud82pGKUyM4cGoLoJXiARQp0v6y+3nscEK1RxL1TocSzInZQq96FdtYwd2\nxJGz5rVdCtvQI2VirE5Q8Ni94egeIuz/h+aMiAjEiIhAMMaQklmKjHw1tvxxjX9+VL8g3MhWQSIW\nQV9lxH0jOre42JKtNRsYFBQU4PPPP8eFCxfAcRwGDBiAxYsX15lBcLvrWD0OWVQqzJiwzhaBgSVX\nQqAeA0uxntj5QwU5voUlOVOIu1RLXQGFDVZMU3g5I6eoAmptldVzMixDFJYhC6FIxCK4u0it/llY\nFugBYJNqfp0C3BEe7IlrWSqcvJiHiUOtszqs5X0RYoy3OQzmVUI7BbS927zKYMKybxNgNDE8ObmH\nzbrgAWDOxO7wdHXCz3/eRFmFHjq9sVV3+1fS6669MHag41xgOY5Dj07e6B7ihcoqI37/KxPvPT2c\nv3m7HTTbD/nOO+8gIiICq1atwsqVK9GlSxfExMTYom02Y+nC0eqFqX5o7jEQtpvIUqhJqCRKS7Uy\noYobWVjG/oVYhIhPeBOosFFtQuUZGE0mnLhoLskaZOWhlob4ezmjSFVp1UTK2j0Q1k6ia8zM0eZV\nL7f8cQ03sq0zrdAybCfkEMKtaq9f8Oup9tVE2fC/S6ioNMDNWYqRAi/XfiuRiMMDo8IQPawTjCaG\nF1YdxQurjuJ6VtOfzbo9yXjqo0NYufUc/7vnH4gQpLBUe3Ech+kjQ/HFotG3VVAAtCAw0Gq1eOKJ\nJxAeHo7u3btj/vz50GiEmSdvL87VF20hll9Wa6ugqzLC3VXgJCtnKWROYsGqitXMrBD2ourtJty4\ndsX/t3fn8VHU9//AX3sm2dybOyHcR7gPCVe4PFALFSs11GgU+7NVxFpsbTG1fIVWK6jQapUeyCGl\nChZQC2hRqWBFAhgiN4gYAiH3fSd7ze+PzUw2F5vd7M4s8Ho+Hnk8sruzu5+dbGbe8zneby/P5HcU\nIwYGHv57VNY0o6y6CSP7R3g1k6ZoyohYWG0Cjl3wXDIa8W9754TesnwGoO1k0/0eKk8uBgahMkzY\nE00YGoNVi6YgNEiP7POlbXpfXFHbYMKRlsyTS+4fK1UYlNsYh9oSzSYrXvznUel/xiYIaDJZkHWu\nBDabgJp6Ew6fac1oOH10HDZk3OKxmg7USiU4SQwwf/58vPHGG4iOtlfEKioqwlNPPYWtW7fK0kB3\n/fGPf+r2tjYB+LygP8L9GjAm0rMFMiqb/XGsLB69gyoxINS7pUe/KklAg1mH6fG5Hp8T8HVZHKqa\nAzAjPgdqL883OFDYBzq1FRNjPJsbPqcmHJdqwzE2sgBhft4tclTRFIDj5XHoG1yBfiFVHnvdapMf\nsksTkBhUhYGh3i1yBAA1Jj8cLU1Ar8BqDAor98hrljYacKoiFgNCytE7WJ60smabGgcK+wIAEgKr\nMbiHn8VkVePLIvvrTYu7CK3au7UY2ssqiUet2R9R/nUYEVHi8vOLGoJwtjJaluPS1QgCcK4qCgat\nCTk19sRmofpGjI0sxLmqKBQ1dD28MSX2Evw010elX0/55S9/4ZHXcXr5t2jRIsybNw9RUVEQBAEV\nFRUer1egNLUKUEGA1eb5Gd71ZvvVRJDO+0U3DFoz6sx+aLZq4K/17D+M1aaCGjavBwUAoFdb0GT1\n/FW9ueXvq1N7/2ASoLX3TjRaPPs5zFb7lZ1ehs8AtH6OBg99DqtNhVMV9m5rP433Cpe1p1W1Xlmr\n0POTeElj65JpuYMCAAjQWlBrBkqbggC4Hhjk14UAEBBn8E4W0+5SqYCh4fYlewJUuFhjRLUpAPsL\n+ne6fbyhBonBVTBo5fvu3IicBgYzZ87E3r17kZubCwDo168f/Py8twbc28aMGY+RI+3Jbfbu/Q8K\nC+3dilq1DRbBfuKIiYnD7bfPAQCcOXMCR48e6fS17r//x9BoNKisrMDu3e91uk1MwkB8W12Fu+d8\nD8cPfYjGxo5dy0OGDMOECVMAAF9++Tlycr7tsE1wcAh+8IP5AICLFy/gwIH9HbYxtBzEp9x8NwbE\nGrBt2z87bdPEiSkYPNheTvTDD99HRUXHq6fExL6YOdNeo+Lrr7/Cob0V0KrbdltqtTqkpS0AABQV\nFeDTTzsubQWAO+64C9HR9u6+t9/eAFsn+SJGjRqH0aPHAQBOvL4X9fVq5NWFIjGo9YoyMjIa3/ve\nXADAuXOn8dVXmR1eBwDuu+8h6HR6VFdXYefO7dL94klVq7Zh+vRb0adPPwDAe+9tRX19xwPkwIFD\nMHnyNABAZuYXuHCh4zr4wMAgzJt3HwDg0qWL+N//7Mt4/TQWqCBIJ9S5c+9FaGgYzGYTtm79R6ft\nTk6ejKQke/rv//xnJ8rKOh7wDSGRQAUwc9pUBNkKceJExzztarUaDzzw/wAAJSXF+PjjXZ2+36xZ\nsxEba5+0tWXLJlgsHXNgjB01Eserm6D1i0Bioj/y8nI7bGM0RmDOnHsAAOfPn8Xhw192+n6pqenY\nm10EFNqXb+k7udqbOnUm+vWzZyj84IN/oba2psM2/fsPQkrKDADAkSMH8c03HZeIBQQE4N57HwAA\n5OVdwv79n0qPWYXWC4Dvf38ewsONsFqteOedjZ22+6abJmDYsFEAgE8++RDFxYUob7LP75gSewkA\nEBeXgNtu+x4A4OTJYzh2LKvT13rwwZ8AAMrLS/HRR//udJtbb70T8fG9AADvvrsZJlPHYbXvjY/E\npi+aoFap0KdPf1y6lNNhm7CwcNx1l71uwHffncfBg/8DANSZdagx+8Po1wCDzowf/jANBkMgGhrq\nsWPHlk7bNGXKdAwYYE8ctGvXDlRVdexl6Nu3P6ZNs6+UyMo6hLNnO2a01Ov98KMfPQgAKCi4gv/+\nt7UmSt/gKsQZanGwqOPqCH+NGeOiCtr0EHR1LHfkyWP5zJmzkJhob9v27W979VgOAPfc8yMEBQWj\nqamp28dyT3F6iZyVlYVly5YhKSkJSUlJWLhwIb766iuPNcBXaFQ27/QYNNm/yHJMUBKv7nqaMKQ9\ni1VAo1Urvb63CYK9W+JCtedqJggCUG3yh05tkeVqW60CAnUm1Jv18GCmUlTU2/eNnBPeYowGlFU1\nwRP5vxwTcMnZYwAAIyMKAQBmm6ZHfxPxuxSgMSnWlR3op8ZNg6NgEwS4uhCpsN7ePR8f2DHoUpqf\nxopREYXQaVUY2iccAxJCEB9YjUkxeRw2kJHTOQZpaWlYuXKlVF3xypUr+PWvf40tWzqPLH1FaWmt\nS9sv33AExVWN+OsvZ3i0HX/613GczCnHX3453esT9y4W1uD5TVm49aZeeGCW59KCXimpw3MbjmDG\nmHgsuDPJ+RN6qKCsHkvXHUavqED8/pGJHnnNsqpGLPlbJpKTovH4D7xXoc7Rho/O4sCJQjxz/1i3\nasG319hsweI/H4BGo8JLCydL5Z29bf2HZ/DlySK8+OikNnXp3fHWf85J6+bl+J9wZBMELFz1OSxW\nGwL8NHjl8RQpY6grxLok00bF4cezh3qhpd2z5/Bl/GufPVX5I3OGIj4ysFt5WH775iFU1Dbj9cXT\nFMmqR94TFeWZJadOvxWCILQpudyrVy+oPVT4wpcYQ/zRbLJ6PLFOdX0z/HQaWQ6A4kH78Jlit2cr\nd0Zc6SDXeu34yEBEhwegpsFzPRRiKuTIMHlmwQPApGH24ZOeLisTnbtUCYvVhlnje8kWFABAdMvf\n/fdvfSXls3BHk8mCYw7pfOUMCgB74qnZk+zpeBubrcgrce3iAbB/hn3Z9i7rW2/q5dH2uWrqqDiE\ntCwfXv/hWTy/KQufZV99wu7p3AoUljegb0wwgwLqktNvRnx8PF555RV8/vnn2L9/P55//nnExsq7\n5lUOYtasby57boauxWpDSWUjjCHyzMkQ8zHUNZrx36Oem9GvxLKs8CA/1NabPBbgiGvnwwLlmx8z\nrK8R4cF+uFjomS7byyX2eRCDvZzxsD1xDXaTyYrM0+6v2vmuoAY1DWYM7ROOZx90PQWuJ9w9tR9u\nG28/oeeXuV5KWsxLMW5wVI+SC3lCUIAOf3pyaptMjv/85HyX218pqcPWlkx8/b1Y8ImufU4DgxUr\nViAwMBBbtmzB1q1bERMTgxdeeEGOtskqPtJ+VVTuwUQuOQU1aDJZPV6Z7mqSk+zLSg+dLnayZfdJ\ngYGs49oBEGAfVvCEkzn2CZZyBjcA0CcmGFV1Jo/UsJAr42F7jr0TReXuz1/JK7YHNjePTcDAhNAe\nt8sdKpUKKSPiAECqc+AKsfdsUC9l2t+eSqW66nd618FcLPnrQVwursVzG45In1lM+ETUGad9eX5+\nfnj44YeRk5MDtVqNfv36ISBA3gOTHMQqdfVNnpsQdbnY3lUp50Hw8R+MQO7fDno0wBHrL4hpl+Uw\nICEU/zteiG+vVPf4ysxqs+GLE/aJZ3JnIIsMtQ9dVNU29/i9S6oaoFGrEBEq33AIgDbJuXryvRL/\nHxJjPFcd1R1xEQaoVO71GBS1TOyVOzi7muiwAOmEr1Gr2tTneP9/9tUKyze2Thg3+Gk5jEBX5TQw\n2Lt3L5YvX47Y2FjYbDaUlZXh+eefx4wZnp2kpzRxElJDk+fGtYsr7FcXsRHy5lIPC/JDWXU1bILQ\n44qOgiDg25YUsnKeVHtH24OB4sqer7AQ0zkDQK9oeU9KwS37rLah5z0GpZWNiAjxh0bmOT6OPQY9\nSbl9qbgW/noNomSoVXE1ep2m5WRa53KRKzGYSIj0ftGk7nrwjiHQadUoKGvAldI6PPLSPkweHoNH\n5gzrdPsJQ6NlbiFda5wGBuvWrcPOnTuloknFxcVYvHjxdRcYiGly6xs902NgtdlwIseeRlbuIiuB\n/joIAtDUbHVr1rWjvJI65JfWo09MsCw1BkRiTYZaD0xAbDbb5ylMHBYj9QzJRZwc1tOhhMZmC2oa\nzIqMazsGBpVupqpuNltRVNGAQQmhXi0/3l1940JwuKW8d6+o7gWL5y5V4tDpYvjpNIhUOLhxFBbk\nh4V3j8CGD8/iSql9uCbzdLFUil00Y0w85qb0k6WiJV3bnF566HS6NpUUY2JioNNdf18sQ8vEvXoP\n9Rh8l1+D0qomDO9nlL3Otid7P8RiRsky1WoXiRUJazwwNi/OpPfTyd99KuYb6GntB6XmFwCAn16D\njAfGITRQj4qaZrdWJlwprYMgAIkKT9gTjehnP6b99YNT3ZrgWlrViJe3fA0AMIb4+URw0177Qkj/\nOXwZALDoByPwt6dnYMGdSQgP9oNOy2EEujqn35DAwEBs2LAB586dw7lz57Bu3ToEBvpON5qnaDVq\n+Ok1HrlCBVq7jkf291ySnu5qDXJ63vshXiGGyzi/AAB0WjUC/LQe6YIXhxKUKBQjXm3v+DynRyss\nxElvcpSM7szgxDCMbamE6M7yy8stEw97Kzy/QJTYMqRUWN6AXV/mOt3+gkNFRl+ZeNheUp9w/Oln\nKR2GOcYMilSsSBJdm5wGBn/4wx+Qm5uLjIwM/OY3v0F+fj5efPFFOdomu8gQf+SX1eNSkevrm9ur\nbcnw5u0yxZ3xZI+BmNfBsTqdXEIMOo/kMmjtMZD/4OhY474nyxbFuRbRMg9LOfr+ZHs+E3fKFue1\nTDzs4yM9Bo7zHC4VO/9/Lyy3zy0Y2T8CP7plkNfa1VOhQX54/icTkfGAPb348H5GTjQklznt4z50\n6BB+//vft7lvy5YtSEtL81qjlHLzuAT885PzOH+lqs0B3R11LSe0YAXG8zy5wkKcbBauQGAQGuSH\nkrwqWKy2Hh3clAwMtBo1nrhnJNa8fxInc8oxyM0cBFKPgYKz4Y0h/ggL0uNSUa3LE1svFddBo1Yh\n3kcm7TkO7534rhyVtc1dfscFQcD5PHsw9OPZSbIPDbpjcGIYVjw2Seo9JHJFl9+aM2fO4PTp09iw\nYUObYhEWiwVr1qy5LgMDcVlhkQdqDYhDEkEK9BiIy8s8sXZeqaEEAIgK88f5PKCsuqlHqXjFoQQl\nAgPAPp7tp9Mg61wp5k0f4NZrFFU0QgX7PlHSiP4ROHCiEP/NuoJZyYndeo7VZsOV0jokRAb61NXr\nE/eMwJr37YV+cgtrEB4c1WEbs8WK1987ifN59tLZ7Sf0+TK5Jz3T9aPL/1I/Pz+Ul5ejtrYWR48e\nlX5OnDiBJUuWyNlG2Yj/SJ4oQlTXaD8pKzEDODqs5XN4YKlfVW0zAvy08NPLf1IVx9PFiXfu+ssH\n9oO/Ep9BfN9+ccEormiAyY2JezZBQF5JLWKMBui0yo4V3zWlLwDg06zuzzMoqmiE2WJTPFNgezcN\nicZjc+3VLE/mlOPr86Udtvkw8xJO5VQAsCdmIroRdNljMGDAAAwYMACTJk3CmDFj5GyTYvz0GgT4\naVFT3/Nx7cZm+wlAia68GKNnTqgArtrF6m1RLd3mYje6O5zUCJNNrNGAc5erUFzZKE18667MU0Vo\nbLZi1ADlT6xRYQHoExssjbl3x1dn7Vk4lU5s1BkxXfn+YwXYf6wA/7dgPLQaNUIC9Qgx6PDFiUIE\n+GmQ8cBNPpXUiMibnJ61Xn755U6Xqb399tteaZDSAv21aGj23IQ3JWYDB/rrEBSgQ3EPA4MmkwUN\nzRb0i1PmhGQMtneb96SwlRigAYDZ4rnCUq4Sh0KKKhpcDgyyW65kU0b4Ro2SEIN9nkGTydKtQkiZ\np4ugUaswYWiMDK1zTfugd9XWY2hstsAY4odf3TcWlbXNmDA02uW/GdG1zOl/9VNPPSX9bjabcejQ\nIRgM1+/YVaC/ziNzDEwWKzRqlWJjqjHhAcgtqoXVZnM7U564xCyhmwlgPE08aPckMLjsMON82qi4\nHrfJXTFiYODClbaopt4EjVqFYf2MzjeWgZi0qabB3K3AoKbejISoQNnTUXdHRIg/BvUKxbdX7JML\nG5vtE3Yraprx7NpDAIAhifIWrSJSmtP/6gkTJrS5nZKSgp/+9Kdea5DSDP5aNJutPZ8Jb7IpunY4\nOjwA3xXUoLy6ye0lbuLa7f7xylRiEyd6uZscqKCsXkpKM3tSH0X/HmJa7KIK13txahpMCDbofCap\njpi0qabe5DSvwtFvStFstspaJtoVKpUKGQ+Mw+mLFQg26PG7t77qsM3ogZEKtIxIOU4Dg7y8tpOM\nCgoKcPHiRa81SGlSauQmS4+ucEwWqyKZ9kRiMFBa5X5gcOxCGVQAknrLVx3SkU6rRrBBhwo3C/c4\nVmZUOg1sZKg/NGqVy71RWedKUFrVJHtVyKsRizh9/W2p0wJha94/CcA+gdJXqVQqjGhJRDY4MQyl\nVY0IDdSjvsmMicNiYAxRdiUIkdycBgYLFiyQfler1QgKCsK8efO82iglifUA6hvNPQoMms1WxZbH\nAUBYy4mkut69q22zxYac/Br0iw+RrhCVEBNuwIX8anxzuRJDXAxQHDMNDuurTHAj0qjViA4PQFFF\ng0uFe8QVFdV1PV966ikpI+Lw3uc5OHKmGPfOGNDlZ3EM6MqqPVft05syHhjncmElouuN00vazz77\nDJ999hk++ugjPPnkkwgNDcU777wjR9sUIV4d5BS4n6UOAEwKBwat3b3uTaQsrmyATRDQK0rZhDTq\nluPzS+987fJzG1vyFzw6d5hPLJWLNRrQ2GzB4j8fQJPJefKpBocEVfdM6+fNprnET6/B0L7hKK9p\nvuqKkbOXKqXfZ43vXs4DX8CggG50TgODY8eO4bnnnsO0adPwu9/9DvPnz8e+ffvkaJsiJiTZS5Ke\nyCnv0euYzDboFRxKCA20j8+722NQVG7v8o6LUDYwmDLS/QmDTS0TyQK6MUFODuK+rGs0dyvttjjs\ncNtNvXBXiu8EBgAwtI+9B+aMw8lfZLHaYDJbcTrXvv7/1/eNwS3jmAOA6FrR5RHzzTffxPvvv4/G\nxkbcfffd2L59OxYvXow5c+a4/WZmsxkZGRkoKCiARqPBihUrkJjY9krio48+woYNG6BWqzF58mT8\n4he/wHvvvYfXXnsNvXv3BgBMmTIFjz/+uNvtuBpx/LS+0f0li5mni2C1CYr2GIjDIO5mPxRXAkSG\nKju+OnVUHN7+9Dz0blSEa2y5KveVFLb94loncZq6sXRSzBUQF+F7q4DEwOCD/+Wgf1wImkxWBBt0\niIsIxOqtx/BNS6ZAABjcO4xX4UTXkC6PmK+++ioGDhyI5557DpMmTQLQ8y623bt3IyQkBKtXr8aB\nAwewevVqvPrqq9LjjY2NWLVqFXbu3InAwEDMnz8fd911FwBg9uzZeOaZZ3r0/t2h1aih16nR0Oxe\nnQGzxYo3d50BAJRVKTeuKpX7dXOpn/j5Df7KTtpTq1ToFxeC83lV3V43LxKXW/orlPGwvYEOVfm6\nUzXym8v2k2vvHtbt8Ia4iEDcObE39hy+jA0fnsXlEvu+Xv/MzW2CAgBuL5clImV0+R+7f/9+zJkz\nB8uWLcOsWbPwl7/8BWZzzxL/ZGZmYtasWQDsV/3Z2dltHg8ICMDOnTsRFBQElUqFsLAwVFVVdfZS\nXmXw07pdmbDSYZKYUil4AfuM/tBAPcrdnNFf3/L5faEIi5iY6PUdJ7v9nMraZpz4zj4c5Cs9BqGB\neimlcHfKe5+9VIFgg65NT4MvmX/zQCT1DpOCAgAdqmHezCEEomtOl4FBVFQUHn30UXz88cd48cUX\ncfnyZeTn52PhwoX4/PPP3XqzsrIyGI32JC1qtRoqlQomU9srp6AgezKdb775Bvn5+Rg9ejQA4MiR\nI3jkkUewYMECnDlzxq337y6Dv67NxC9XiFfoQQE6PNqSh10pEaH+qKhpdmupWGOT2GOg/ElVnOB2\n9lJlt1McO06KNPeiKQAAGLFJREFU85XAAABG9Ld//684nEw7Y7XZUFHbjFijwWfyF3Qmot1Q09b/\nfiv9fteUvnjgtsFyN4mIeqhbR8zk5GQkJydj6dKl2L17N9asWYMZM2Zc9Tnbtm3Dtm3b2tx3/Pjx\nNre7Osjn5ubiV7/6FVavXg2dTofRo0fDaDRi5syZ+Prrr/HMM89g165d3Wm6Wwz+WhSW17u1bEkc\nm797aj8kKFxi1hjij5yCGlTXmVyud9A6lKD8SfX/zR6KP+84AcC+f7uzrrymZW6Fv16jeA4DRzFG\nAzRqFY6cK0H67UO67FWqqjVBEODza+jb/38cPmOvi5B++2DcMq6XEk0ioh5y6agfFBSE++67D/fd\nd5/TbVNTU5GamtrmvoyMDJSWliIpKQlmsxmCIECvb7tGvqioCE888QRefvllDB06FEBrQScAGDt2\nLCoqKmC1WqHReKer3uCnhSAATSary1ebJS0VDY0KFR5yFNlyUimvaXIpMLDabPj62zIAvjGjf8yg\nSNw5oTf2HLmMyrpuBgYtY/gP3TnE281zSYhBjwlDY5B5ugjFlfa6Ce1PrnWNZpxsWRXjC9+jq5k7\npS8OnCjscL+zxEdE5LtknRWUkpKCPXv2AAD27duHiRMndtjmt7/9LZYvX47hw1u74d98803s3r0b\nAHD+/HkYjUavBQVA68Q9d5KynMmthArAgF7KHxjFynGuZg7894HWzJZqtW90Y4sJm6pqu7fKQuwx\nCPXBVLx9WiYTLt/4Fd7c3XFY7I/vHsM/Pv4GgPKrQpyJDAtARLtALcSgQy+F6msQUc/Jejk4e/Zs\nHDx4EGlpadDr9Vi5ciUAYO3atUhOTkZYWBiysrLw5z//WXrOww8/jLvuugu//vWvsXXrVlgsFvzh\nD3/wajuHJIbhwIlCnMmtcLmqWkF5PaLDA3wiN7w4/lvuYoAj1p8fPSDC421yV1iwa3UTxO1Cgnzv\nittx+eGh08V49K62c1FyHXIcjB0cJVu73PWzeSPxj4/PYcqIOJzMKcc90/r7TEBJRK6TNTAQcxe0\n9+ijj0q/t5+HINq8ebPX2tWeWDQov8z1SnjNZqvPjAuLV3JlLvYYNDbb60QsTh3tjWa5xdWCSkXl\nDVCpgOgw3/hbOBraJxyDe4XifEtFv2azFVV1zYgI8YfjtJt7Zw6QPrcv6xMbjP9bkAwAuPUmzisg\nutYpP4Dsg4zB9pOJq+V+bYIAk9mmaGIjR+K8AldzGdQ3WRStj9AZsUu9pNJ5dcKKmiacv1KN6LAA\n6LS+8bdwpNWoseSBcdj0n3P44kQh1u8+g6xvSpHUOwznWnIX3DIuAbMn9VG4pUR0I2Jg0Ak/vQb+\neg1OX6xAs8na7XwEZrN9vb2vBAZBATpo1CpUuVCAxyYIqG8y+1y2vbBgP+h1ahQ7qU546HQR3v70\nvP05PlSRsD21SiUNU2V9UwoAUlAAABOGxijSLiIipiTrQlNLAZ7Pjxd0+znNZvtzlCy37EilUiEs\nyM+leglXSuogCECgwhkP21OrVIgJN6C4svGquQzW7jqD+pYcDA/e4VsrEtqbObbr5D8DfWDyKhHd\nmHzjDOaDxEQ0pd3ouha1Bga+0WMA2K+aq2pN3U5y9NI79myUuUU9qy7pDTHhAS3j8d3rAYkx+lav\nR3tajRqDOgkAnkod5dNJjYjo+sbAoAtptw4CAJitzovdiMTAQO8jufkB+3IymyBg8WtfON1WEAQ0\nNts/gy9OIhNP9M6GE0Raje9/vdvnl4gxGjBqQKRCrSEiYmDQpcCWbHmuVFn0xR6DuJaTaX2TBVbb\n1YMcsRLjwIRQ3Dmxt9fb5qrYls9SVNl5YGBxCOK+54Pt78wt43phnMOSxAdvZwphIlIWJx92IbAl\nFXCdC4HBH989BgBulQj2likjYvFBS8Ki2gbzVZe/iUmBescE+WRFvJhwe2DwXX41Zo7pOD4vpnG+\naXAUUm8eKGvb3DU4MQyDE8NQVNGAxmaLzxZMIqIbh+8d/X2ERq2GwU/rUmAgdsO7W9HQGyLDAqRh\ngQ0fnr3qtuJnDfaB5EydiTEGAAC+PFmEs7kVsNnazptobAkMfKloUnfFGg0MCojIJzAwuIrgQD2q\n6pq7VdHPcZuo0ABvNstl4jy2UxcrrrqdGBj4UtEhR47temXrMfxt5+k2j1/LgQERka9gYHAVfWKC\nUN9kaVPCtysfH8mTfv+ejyWmcZzzYLnKZMraBrHHwDcDA5VK1SbpT9a5EtQ0mJBbVIP/W38YGz86\nBwAI8POdOR5ERNcaBgZX0b+la9cxd31X/rXvAgB7GmKdD80xAIA5k1tPpldLKSw+FuyjPQYAMG9G\n/za3n/rzAfz+rSzkl9Yjr6QOQQE63DQkWqHWERFd+3zrDOZjYiMCAQDFTnIZOA4jDO0T7tU2ucNf\nr5WutCtqOg8MBEHAlycL4afXIDEmWM7mucTZ+v6Vj012ufAVERG1YmBwFdHh9rkCJV0sjxOJCXcC\n/DRIu22Q19vlDjE9sLjyoL2qOhOq6kwY0dfos3MMusPgz/kFREQ9wcDgKiJD/aFSOc9+eKnYPtRw\nR3Jvn534JhZFulJa1+njeSX2++MifTtbIMA5BERE3sTA4Cq0GjWCA3RS4p+u5Bba0wf3ifXdLnhx\nCeLOL3Ox7+v8Do9v+e+3AIC4luETX7b0ofFKN4GI6LrFwMCJ4EC9NFu/Kye+K4dapcKABN8tfBPi\nsNIg+5uSNo+VVTeiuKIBOq0a4wZFtX+qz4mLCMQdExIBAPGRrYFMIIcRiIh6jEdSJ4IDdMgvrYfF\naus0936z2YrcoloMSQzz6bF5x6RFJkvrkkVBELDkr5kA7BMnu1tiWmnzpveHTqvGhKEx+Pp8KWob\nzJgzpa/SzSIiuuYxMHBCPKHWNpg7FLwBgNqWYQZjiL+s7XJVkEGHmPAAFFc2ShMQPz5yGf9zKCs9\nsn+EUs1zmU6rwbzpAwAAvaK4CoGIyFM4lOCEmOzn6TVfotlk7fB4TcswQ0ig7/YWAPZlfisem4yE\nqEAUVzaisdmCdz+7gMLy1hUXM8fGK9hCIiLyBQwMnIh0SG+cX1bf4XFxKaOv1hdor7Ilj8Eb751s\nc/+zD97kk4WTiIhIXjwTODGkd5j0+z8/+aZNMiObIGDtrjMAfLe+QHt3T+0HADh7qVK6b2T/CAz0\n4YmTREQkHwYGTvSJDYZGbc+2l1tUi/omi/RYbmFrqmRfzV/Q3qzkRNzVbpJeZKhvz48gIiL5MDBw\nQq1S4ZHvD5VuO9YayCmoBgD0iQnGuMGRsrfNXYMTw9rcnjwiVqGWEBGRr2Fg0A1+2tYlfFW1rYFB\nSUvVxYfuHHJNjc/HRbRmN5yb0pfDCEREJLl2zmYK8ncYJqh0DAxaUiWLNRWuFY7LLn2x6BMRESmH\ngUE3JPUOw8RhMQCAjf85h8dW7UdxRQNyCmoQGqhHoP+1MfFQpFKp8NCdQ5B266AOwwpERHRjUwmO\n0+yvI6Wltc43coFNEPDTl/dB3Fv+eg2aTFbcMSERP7rFNysqEhHRjSMqyjP1ethj0E1qlQqrn0iR\nbje1JDviFTcREV1PZF1jZzabkZGRgYKCAmg0GqxYsQKJiYltthk+fDjGjRsn3X7rrbdgs9mcPk8O\nYUF+mDQsBofOFEv39Y723YqKRERErpK1x2D37t0ICQnBli1bsHDhQqxevbrDNkFBQdi8ebP0o9Fo\nuvU8uTw6d7i07l+jViE8pGP9BCIiomuVrIFBZmYmZs2aBQCYMmUKsrOzvfo8bwlsyXIYZNBBrVIp\n2hYiIiJPkjUwKCsrg9FotL+xWg2VSgWTydRmG5PJhKeffhr33XcfNm7c2O3nyUlMfxygvzayHRIR\nEXWX185s27Ztw7Zt29rcd/z48Ta3O1sQsWTJEsydOxcqlQrp6ekYP358h22UXkih09jjKXYWEBHR\n9cZrgUFqaipSU1Pb3JeRkYHS0lIkJSXBbDZDEATo9W2rEqalpUm/T5o0CefPn0d0dLTT58lJTGik\nd8iISEREdD2QdSghJSUFe/bsAQDs27cPEydObPN4Tk4Onn76aQiCAIvFguzsbAwaNMjp8+R2z/T+\nmDk2AWm3MX8BERFdX2QdJJ89ezYOHjyItLQ06PV6rFy5EgCwdu1aJCcnY+zYsYiNjcW9994LtVqN\nW265BaNGjcLw4cM7fZ5S/HQaPHTHEEXbQERE5A3MfEhERHQdYOZDIiIi8jgGBkRERCRhYEBEREQS\nBgZEREQkYWBAREREEgYGREREJGFgQERERBIGBkRERCRhYEBEREQSBgZEREQkYWBAREREEgYGRERE\nJGFgQERERBIGBkRERCRhYEBEREQSBgZEREQkYWBAREREEgYGREREJGFgQERERBIGBkRERCRhYEBE\nREQSBgZEREQkYWBAREREEgYGREREJGFgQERERBIGBkRERCRhYEBEREQSBgZEREQkYWBAREREEq2c\nb2Y2m5GRkYGCggJoNBqsWLECiYmJ0uOnTp3CSy+9JN2+cOEC1qxZgy+//BK7du1CTEwMAGDu3LlI\nTU2Vs+lEREQ3BJUgCIJcb/b+++/jxIkTWLZsGQ4cOIDt27fj1Vdf7XTbmpoaLFq0CP/4xz+wZs0a\nhIeHIz09vdvvVVpa66lmExER+byoqGCPvI6sQwmZmZmYNWsWAGDKlCnIzs7uctv169djwYIFUKs5\n2kFERCQXWc+6ZWVlMBqN9jdWq6FSqWAymTps19TUhAMHDuDWW2+V7tuzZw9+/OMf47HHHkNeXp5s\nbSYiIrqReG2OwbZt27Bt27Y29x0/frzN7a5GMfbu3YuZM2dKvQUzZszApEmTkJycjA8//BAvvPAC\n/v73v3un4URERDcwrwUGqampHSYIZmRkoLS0FElJSTCbzRAEAXq9vsNz9+3bh7S0NOn2qFGjpN9v\nueUWrFq1ylvNJiIiuqHJOpSQkpKCPXv2ALCf/CdOnNjpdqdOnUJSUpJ0+4UXXkBWVhYA4MiRIxg0\naJD3G0tERHQDknW54uzZs3Hw4EGkpaVBr9dj5cqVAIC1a9ciOTkZY8eOBWBfkRAUFCQ9LzU1FcuW\nLYNWq4VKpcILL7wgZ7OJiIhuGLIuV5QTlysSEdGN5JpcrkhERES+jYEBERERSRgYEBERkYSBARER\nEUkYGBAREZGEgQERERFJGBgQERGRhIEBERERSRgYEBERkYSBAREREUkYGBAREZGEgQERERFJGBgQ\nERGRhIEBERERSRgYEBERkYSBAREREUkYGBAREZGEgQERERFJGBgQERGRhIEBERERSRgYEBERkYSB\nAREREUkYGBAREZGEgQERERFJGBgQERGRhIEBERERSRgYEBERkYSBAREREUlkDwyOHDmCyZMnY9++\nfZ0+vnPnTvzwhz9Eamoqtm3bBgAwm814+umnkZaWhvT0dOTl5cnZZCIiohuGrIHB5cuXsXHjRowb\nN67TxxsaGrBmzRq89dZb2Lx5MzZt2oSqqirs3r0bISEh2LJlCxYuXIjVq1fL2WwiIqIbhqyBQVRU\nFN544w0EBwd3+vjx48cxcuRIBAcHw9/fH+PGjUN2djYyMzMxa9YsAMCUKVOQnZ0tZ7OJiIhuGLIG\nBgEBAdBoNF0+XlZWBqPRKN02Go0oLS1tc79arYZKpYLJZPJ6e4mIiG40Wm+98LZt26Q5AqInn3wS\n06ZN6/ZrCILg0v2OoqI675UgIiKirnktMEhNTUVqaqpLz4mOjkZZWZl0u6SkBGPGjEF0dDRKS0uR\nlJQEs9kMQRCg1+s93WQiIqIbnk8tVxw9ejROnjyJmpoa1NfXIzs7G+PHj0dKSgr27NkDANi3bx8m\nTpyocEuJiIiuTyqhO/3yHrJ//36sX78eOTk5MBqNiIqKwoYNG7B27VokJydj7Nix2LNnD9avXw+V\nSoX09HTMnTsXVqsVS5cuRW5uLvR6PVauXIm4uDi5mk1ERHTDkDUwICIiIt/mU0MJREREpCwGBkRE\nRCTx2qoEpbz44os4fvw4VCoVnn32WYwaNUrpJl3TXn75ZRw9ehQWiwWPPfYYRo4ciSVLlsBqtSIq\nKgqvvPIK9Ho9du7ciU2bNkGtVmP+/Pkur0i50TU1NeH73/8+Fi1ahMmTJ3Mfe9jOnTuxbt06aLVa\n/PznP8eQIUO4jz2svr4ezzzzDKqrq2E2m/HEE08gKioKy5cvBwAMGTIEv/vd7wAA69atw549e6BS\nqfCzn/0MM2bMULDl14bz589j0aJFePjhh5Geno7CwsJuf4fNZjMyMjJQUFAAjUaDFStWIDExses3\nE64jhw8fFh599FFBEAThwoULwvz58xVu0bUtMzNT+MlPfiIIgiBUVFQIM2bMEDIyMoSPPvpIEARB\nWL16tfD2228L9fX1wu233y7U1NQIjY2Nwpw5c4TKykolm37N+eMf/yjMmzdP2LFjB/exh1VUVAi3\n3367UFtbKxQXFwtLly7lPvaCzZs3C6tWrRIEQRCKioqEO+64Q0hPTxeOHz8uCIIg/PKXvxT2798v\nXL58WbjnnnuE5uZmoby8XLjjjjsEi8WiZNN9Xn19vZCeni4sXbpU2Lx5syAIgkvf4ffee09Yvny5\nIAiC8MUXXwiLFy++6vtdV0MJmZmZuO222wAAAwYMQHV1Nerq6hRu1bUrOTkZr732GgAgJCQEjY2N\nOHz4MG699VYAwM0334zMzMwuU1lT93z33Xe4cOECZs6cCQDcxx6WmZmJyZMnIygoCNHR0Xj++ee5\nj70gPDwcVVVVAICamhqEhYUhPz9f6rUV9/Phw4cxbdo06PV6GI1GJCQk4MKFC0o23efp9Xq8+eab\niI6Olu5z5TvsalmB6yowKCsrQ3h4uHRbTKlM7tFoNDAYDACA7du3Y/r06WhsbJSSS0VERHRIWQ1w\nv7vqpZdeQkZGhnSb+9izrly5gqamJixcuBD3338/MjMzuY+9YM6cOSgoKMCsWbOQnp6OJUuWICQk\nRHqc+9l9Wq0W/v7+be5z5TvsalmB626OgSOBKzE9Yu/evdi+fTs2bNiA22+/Xbq/q/3L/d59H3zw\nAcaMGdPleB/3sWdUVVXhjTfeQEFBAR566KE2+4/72DP+/e9/Iz4+HuvXr8e5c+fwxBNPtCmYx/3s\nPa7uW2f7/LoKDDpLqRwVFaVgi659X3zxBf72t79h3bp1CA4OhsFgQFNTE/z9/VFcXIzo6OguU1mT\nc/v370deXh7279+PoqIi6PV67mMPi4iIwNixY6HVatG7d28EBgZCo9FwH3tYdnY2pk6dCgBISkpC\nc3MzLBaL9Ljjfr548WKH+8k1rhwnXC0rcF0NJaSkpODjjz8GAJw+fRrR0dEICgpSuFXXrtraWrz8\n8sv4+9//jrCwMAD28SlxH3/yySeYNm1al6msyblXX30VO3bswL/+9S+kpqZi0aJF3MceNnXqVBw6\ndAg2mw2VlZVoaGjgPvaCPn364Pjx4wCA/Px8BAYGYsCAAcjKygLQup8nTZqE/fv3w2Qyobi4GCUl\nJRg4cKCSTb8mufIddrWswHWX+XDVqlXIysqCSqXCsmXLkJSUpHSTrlnvvvsuXn/9dfTr10+6b+XK\nlVi6dCmam5sRHx+PFStWQKfTdZrKmlzz+uuvIyEhAVOnTsUzzzzDfexBW7duxfbt2wEAjz/+OEaO\nHMl97GH19fV49tlnUV5eDovFgsWLFyMqKgrPPfccbDYbRo8ejd/85jcAgM2bN2PXrl1QqVR46qmn\nMHnyZIVb79tOnTqFl156Cfn5+dBqtYiJicGqVauQkZHRre+wq2UFrrvAgIiIiNx3XQ0lEBERUc8w\nMCAiIiIJAwMiIiKSMDAgIiIiCQMDIiIikjAwICKXXLlyBdOnT1e6GUTkJQwMiIiISHJdpUQmIuW8\n9tpryMzMBADExsbilVdegU6nw/bt27Fp0yYYjUaMHz8eBw8exJYtWxRuLRF1hT0GRNRjFosFAQEB\neOedd7B161bU1tbiwIEDqKurwyuvvIKNGzdi06ZNyM3NVbqpROQEAwMi6jGtVgu1Wo37778f6enp\nOHv2LCorK3Hx4kXEx8cjMjISANpU5yQi38ShBCLqsaNHj2LHjh3YsWMHDAYDfv7znwOwl3dVqVTS\ndhqNRqkmElE3sceAiHqsvLwcCQkJMBgMyM/Px7Fjx2AymZCYmIi8vDxUV1cDAD799FOFW0pEzrDH\ngIhcVlFRgQcffFC6PWzYMNTV1SEtLQ2DBg3Ck08+iTVr1mDixIlYuHAh0tLSEB8fj+HDh6OgoEDB\nlhORMwwMiMglvXr1wqlTp5xul5qaCgCIiIjAO++8g7CwMGzcuLFNGW8i8j0MDIjIqxoaGrBgwQIE\nBwdDq9VixYoVSjeJiK5CJQiCoHQjiIiIyDdw8iERERFJGBgQERGRhIEBERERSRgYEBERkYSBARER\nEUkYGBAREZHk/wMlT9Y3Sp+HhwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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ApEmT8Mwzz7B1y6dOnYrMzExkZmZiyJAhKCgoAEVRWLp0qdjDJhAIBAIhYum0FfSIz55A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To/Vo\nEeBZkGSnJfiUa9ocLtS32GA06DS/xy3G4NceNSstvlssHC80jpc34v2vTgr3U5JiyNjX1NQgIyPD\nc2CdDhwA5mhKAAAR4UlEQVTHwW739SbtdjseeughzJkzB6+99lrI71OCX86+WLjNvODRg7WbQBUI\nu1cr+6/r9nd4boyGk8HEiMtSdh+t9gmDA8CVY7SdaSymM9GcgXnabuHJ8Df2H3x9SpBdBoCH54zS\nfFmqGPGWw0clZ1Ba1YLUJFO3MpZP/nKcj2Oi1V4XFzov+SUZy93KWrbl6tq1a7F27Vqfx/bv9zUw\n/p1+AOCRRx7B9ddfD47jMHfuXIwd23G/JtD7lMBo0OGqsb2xaVd7Jy+t9RoPxoRLemLf8RrUNvlm\n6S6+a7xKIwofYxeZqvfecEm3WbQAneszDOqVFvBxrRHv19zG4XTjeEUTOAB/ur0Q/XpqsxNkZwRS\nnBO3jO0O9MhIxC2XD8LO7z1VN1rt1HfB47eA7CtzK2vZroKioiIUFRX5PLZgwQJUV1ejoKAADocD\nPM/DZPLdCysuLhZujx8/HseOHUNOTk7Q9ynFrVddhEOn6gSRhED7rlqmsCAHlVMH+oSPAHSr5J2u\nylK6kxcJBB7vb24crtlmRP4E8nhtdhdSk0zdztADns6VW7875/NYdxSgEQtKdZdr6ULD32nJSo3H\n2IIcDMyVJ6qnaBh/0qRJ2LhxIwBg8+bNGDfOV/7w5MmTeOihh8DzPJxOJ/bs2YPBgwcHfZ/SsLAY\nx2mz/Wgw/Fvxyp0YIjWpXSRLJXazkGWgdp5al172p/iqwR0e07qQTmdMHp6LP90+Fo8Uj8awARnQ\n6zj86lrtSv12hk5UL0zGXluYvNuQ/ip5Rr0O9/zkElwzrm+gt0WNolfBrFmzsG3bNhQXF8NkMmHJ\nkiUAgBUrVqCwsBCjR49Gz549cfPNN0On0+GKK67AiBEjMGzYsIDvUwumV2406KDrRnt5jDy/aMSk\n4dov8RJz7cT++KjkTMDnulvIclCvVBRfOVioiACAvjndyyMePTgLqzf94PNYd6lQ8Uen49C/p8ez\nKuinXfXCUDAZdLA73UHb9xLKkRhngKETY2+QQSLX5/Nl/XQ/WI28P3fddZdw++GHHw75fWrBvEdx\n44nuhDjjuHe2GddPHqDiaMInzqjHvGuG4I2NHUUqupsXo9NxmFHYBxkp8Vj+/gE8+NORQhe27kK8\nqeM517rI1IXAkL7pOHCyVvNS3hcSqWaT0F+lg2cvs7HvHgXJGoOpuLXZuueKWbzPOmFYj24ZnRja\nidfV3QwlY8yQbPzz99NwyYBMtYcSNv5JegDQK1v75Xaxzp3XDsW0UXm4yU9Vj1COm6fn+9w3GnTC\n4svk79nL3NqXjH0EFBZ4ylouvaj7ZH37M7OwD3pkJGq6G1lX5KR7Mo7vuv5in8e748KF0V30Gvwx\n6HWYNioP11zWFxznuc9+I4R6JCeaMO+agm6r/hcLzBrfT7g9Mj8TBr0OLm91h97PuMsdKeZ4terY\nZKa6ulnWzz9d2YSs1IRul/0thuf5blU/3Bk1DW2obbJicJ+0bm3sY4FztRakmeO6lQgNQcjJL5Z8\nAcCjObH6vz/gbLUFP5kyAGcqm7H3hxrhdYvvGh91VVR2duf5PvSLjBCWxNOdiQVDD3j02bXcmvdC\nIjeTwvcEEQidjkN1gxWAR3xqWH/frUi5p2MK4xMEQRCEzOh1Oh/RpuZWj9LktRP7ITczUfaOhOTZ\nEwRBEITM6Pz25Fu8stI/mTwQN07ND/QWaY8v+xEIgiAI4gLHPwGvpc0BHcd1WATIBRl7giAIgpAZ\nf6Nud7g7dCiU9fiKHYkgCIIgLlACldbpydgTBEEQROyg13Ed+nrodcqZYDL2BEEQBCEzOh2H//n5\nWB8xNgrjEwRBEEQModdxyEiJx6ThPYXH5JbIFUPGniAIgiBkhiXoiTtz+kvmynp8xY5EEARBEBco\nzNiLJdYT45Trh0HGniAIgiBkhmXjmxPbk/RG5mcpdnwy9gRBEAQhM8zYJ8W3h/EH9lKuxwoZe4Ig\nCIKQGWbsxUl5OQo28CJjTxAEQRAyE0gWV+7mN2KoEQ5BEARByESq2YTGFjt0oh62RZfno8liV7T0\njuN5nlfsaApSXd2s9hAIgiCICxy7wwWrw4WURFPwF0dJdnZyp8+RZ08QBEEQMmEy6mEyKldi1xm0\nZ08QBEEQMQ4Ze4IgCIKIccjYEwRBEESMQ8aeIAiCIGIcMvYEQRAEEeOQsScIgiCIGIeMPUEQBEHE\nOGTsCYIgCCLGUVRUx+FwYMGCBaioqIBer8fixYvRp08f4fmDBw/imWeeEe4fP34cy5cvxzfffIMP\nP/wQPXr0AABcf/31KCoqUnLoBEEQBNFtUVQu9/3338d3332HhQsXYuvWrVi3bh1eeOGFgK9tamrC\nPffcgzfffBPLly9Heno65s6dG/KxSC6XIAiCuJDoSi5X0TB+SUkJZsyYAQCYOHEi9uzZ0+lrX3nl\nFcybNw86He00EARBEEQ0KGpJa2pqkJGR4TmwTgeO42C32zu8zmq1YuvWrbjyyiuFxzZu3Ig77rgD\nd999N8rKyhQbM0EQBEF0d2Tbs1+7di3Wrl3r89j+/ft97ne2g7Bp0yZMnz5d8OqnTZuG8ePHo7Cw\nEB999BEWLVqEf/7zn/IMnCAIgiBiDNmMfVFRUYckugULFqC6uhoFBQVwOBzgeR4mU8e2f5s3b0Zx\ncbFwf8SIEcLtK664AkuXLpVr2ARBEAQRcygaxp80aRI2btwIwGPQx40bF/B1Bw8eREFBgXB/0aJF\n2LVrFwBg586dGDx4sPyDJQiCIIgYQdHSu1mzZmHbtm0oLi6GyWTCkiVLAAArVqxAYWEhRo8eDcCT\niW82m4X3FRUVYeHChTAYDOA4DosWLVJy2ARBEATRrVG09E5JqPSOIAiCuJDQTOkdQRAEQRDKQ8ae\nIAiCIGIcMvYEQRAEEeOQsScIgiCIGIeMPUEQBEHEOGTsCYIgCCLGIWNPEARBEDEOGXuCIAiCiHHI\n2BMEQRBEjEPGniAIgiBiHDL2BEEQBBHjkLEnCIIgiBiHjD1BEARBxDhk7AmCIAgixiFjTxAEQRAx\nDhl7giAIgohxyNgTBEEQRIxDxp4gCIIgYhwy9gRBEAQR45CxJwiCIIgYh4w9QRAEQcQ4ZOwJgiAI\nIsYhY08QBEEQMQ4Ze4IgCIKIccjYEwRBEESMQ8aeIAiCIGIcMvYEQRAEEeOQsScIgiCIGEdxY79z\n505MmDABmzdvDvj8+vXrcdNNN6GoqAhr164FADgcDjz00EMoLi7G3LlzUVZWpuSQCYIgCKJbo6ix\nLy0txWuvvYZLL7004POtra1Yvnw5Xn/9daxatQpvvPEGGhoasGHDBqSkpGD16tWYP38+li1bpuSw\nCYIgCKJbo6ixz87OxksvvYTk5OSAz+/fvx/Dhw9HcnIy4uPjcemll2LPnj0oKSnBjBkzAAATJ07E\nnj17lBw2QRAEQXRrFDX2CQkJ0Ov1nT5fU1ODjIwM4X5GRgaqq6t9HtfpdOA4Dna7XfbxEgRBEEQs\nYJDrg9euXSvsuTPuu+8+TJkyJeTP4Hk+rMfFZGcHjh4QBEEQxIWGbMa+qKgIRUVFYb0nJycHNTU1\nwv3z589j1KhRyMnJQXV1NQoKCuBwOMDzPEwmk9RDJgiCIIiYRFOldyNHjsSBAwfQ1NQEi8WCPXv2\nYOzYsZg0aRI2btwIANi8eTPGjRun8kgJgiAIovvA8aHExCViy5YteOWVV3Dy5ElkZGQgOzsbr776\nKlasWIHCwkKMHj0aGzduxCuvvAKO4zB37lxcf/31cLlcePzxx3H69GmYTCYsWbIEubm5Sg2bIAiC\nILo1ihp7giAIgiCUR1NhfIIgCIIgpIeMPUEQBEHEOLJl46vF008/jf3794PjODz22GMYMWKE2kPq\n1jz77LPYvXs3nE4n7r77bgwfPhyPPPIIXC4XsrOz8dxzz8FkMmH9+vV44403oNPpcMstt4RdiXGh\nY7Vace211+Kee+7BhAkT6BzLwPr167Fy5UoYDAbcf//9GDJkCJ1nCbFYLHj00UfR2NgIh8OBe++9\nF9nZ2XjiiScAAEOGDMH//u//AgBWrlyJjRs3guM4/OY3v8G0adNUHPkFAh9D7Nixg7/rrrt4nuf5\n48eP87fccovKI+relJSU8HfeeSfP8zxfV1fHT5s2jV+wYAH/8ccf8zzP88uWLePfeust3mKx8DNn\nzuSbmpr4trY2fvbs2Xx9fb2aQ+92PP/88/yNN97Iv/vuu3SOZaCuro6fOXMm39zczFdVVfGPP/44\nnWeJWbVqFb906VKe53m+srKSv/rqq/m5c+fy+/fv53me5x988EF+y5YtfGlpKX/DDTfwNpuNr62t\n5a+++mre6XSqOfQLgpgK45eUlOCqq64CAOTn56OxsREtLS0qj6r7UlhYiL/85S8AgJSUFLS1tWHH\njh248sorAQCXX345SkpKOpU5JkLjxIkTOH78OKZPnw4AdI5loKSkBBMmTIDZbEZOTg6efPJJOs8S\nk56ejoaGBgBAU1MT0tLSUF5eLkRX2TnesWMHpkyZApPJhIyMDPTq1QvHjx9Xc+gXBDFl7GtqapCe\nni7cZ3K7RGTo9XokJiYCANatW4epU6eira1NEDTKzMzsIGcM0HkPl2eeeQYLFiwQ7tM5lp6zZ8/C\narVi/vz5uPXWW1FSUkLnWWJmz56NiooKzJgxA3PnzsUjjzyClJQU4Xk6x+oSc3v2YniqKpSETZs2\nYd26dXj11Vcxc+ZM4fHOzi+d99D54IMPMGrUKPTp0yfg83SOpaOhoQEvvfQSKioq8POf/9znHNJ5\njp7//Oc/yMvLwyuvvIIjR47g3nvv9Wl6RudYXWLK2AeS283OzlZxRN2fr7/+Gv/4xz+wcuVKJCcn\nIzExEVarFfHx8aiqqkJOTk6nMsdEcLZs2YKysjJs2bIFlZWVMJlMdI5lIDMzE6NHj4bBYEDfvn2R\nlJQEvV5P51lC9uzZg8mTJwMACgoKYLPZ4HQ6hefF5/jUqVMdHifkJabC+JMmTcKnn34KADh06BBy\ncnJgNptVHlX3pbm5Gc8++yz++c9/Ii0tDYCnxTA7x5999hmmTJnSqcwxEZwXXngB7777Lv7973+j\nqKgI99xzD51jGZg8eTK2b98Ot9uN+vp6tLa20nmWmH79+mH//v0AgPLyciQlJSE/Px+7du0C0H6O\nx48fjy1btsBut6Oqqgrnz5/HoEGD1Bz6BUHMKegtXboUu3btAsdxWLhwIQoKCtQeUrflnXfewYsv\nvogBAwYIjy1ZsgSPP/44bDYb8vLysHjxYhiNxoAyx0R4vPjii+jVqxcmT56MRx99lM6xxKxZswbr\n1q0DAPz617/G8OHD6TxLiMViwWOPPYba2lo4nU789re/RXZ2Nv70pz/B7XZj5MiR+MMf/gAAWLVq\nFT788ENwHIcHHngAEyZMUHn0sU/MGXuCIAiCIHyJqTA+QRAEQRAdIWNPEARBEDEOGXuCIAiCiHHI\n2BMEQRBEjEPGniAIgiBiHDL2BEGExdmzZzF16lS1h0EQRBiQsScIgiCIGCem5HIJglCPv/zlLygp\nKQEA9OzZE8899xyMRiPWrVuHN954AxkZGRg7diy2bduG1atXqzxagriwIM+eIIiocTqdSEhIwNtv\nv401a9agubkZW7duRUtLC5577jm89tpreOONN3D69Gm1h0oQFyRk7AmCiBqDwQCdTodbb70Vc+fO\nxffff4/6+nqcOnUKeXl5yMrKAgCfrokEQSgHhfEJgoia3bt3491338W7776LxMRE3H///QA87Us5\njhNep9fr1RoiQVzQkGdPEETU1NbWolevXkhMTER5eTn27dsHu92OPn36oKysDI2NjQCAzz//XOWR\nEsSFCXn2BEGETV1dHW677Tbh/sUXX4yWlhYUFxdj8ODBuO+++7B8+XKMGzcO8+fPR3FxMfLy8jBs\n2DBUVFSoOHKCuDAhY08QRFj07t0bBw8eDPq6oqIiAEBmZibefvttpKWl4bXXXvNpmUwQhDKQsScI\nQlZaW1sxb948JCcnw2AwYPHixWoPiSAuOKifPUEQBEHEOJSgRxAEQRAxDhl7giAIgohxyNgTBEEQ\nRIxDxp4gCIIgYhwy9gRBEAQR45CxJwiCIIgY5/8BsWZQfEJPFWQAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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RQATM1ZulWPO/mhoHzWNr7psz1wqh0zeMBeTBs7fw8abTAIDQICUAQKmwPLrs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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "Hv3SQ0anZY8N",
"colab_type": "code",
"outputId": "815c333f-fd07-4c7d-d905-9a211e3854ea",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1094
}
},
"cell_type": "code",
"source": [
"# demonstrate the n_lags argument\n",
"autocorrelation_plot_forked(data, n_lags=200)\n",
"plt.title(\"add n_lags parameter\")\n",
"plt.show()\n",
"\n",
"autocorrelation_plot_forked(data, n_lags=200, change_core=True)\n",
"plt.title(\"add n_lags and use change core\")\n",
"plt.show()\n",
"\n",
"\n",
"autocorrelation_plot_forked(data, change_core=True)\n",
"plt.title(\"skip n_lags and use change core\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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xsahUKpYtW0ZoaGjDYxMnTsTDwwONRgPAq6++iru7+1WvuZJnPzrM7AkBDPB3abfXIoQQ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\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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59AhwZvHcvnTzc6K4rL6ZvIuP8SQDAGq1irEDfPnrQxH4e9hx9HwOyZdlXRHR\ncUgy0IK8XG2wtzHn3KVCtHLXINq5X1fXnHFXF0xN1Nw3KhgTtQoTtYpAz47ZLdAUjZM104cFAbD3\nZKaBoxGi5Ugy0IJUKhVhgS4UlVXrRlwL0R5V19RxNrkAd2drPF2sgfpk98HxIcweFYyFmYmBIzSc\nED8n3J2sOHo+h9KKGkOHI0SLkGSghd0R6g5A9LlsA0cixO07d6mQqpo6+nRxvW6WwJ09OjGst5cB\nIzM8tUrFsN5e1NZpORh7xdDhCNEiJBloYSG+TjjYmnP8Qo5uxzOtVroMRPty4mJ9F0Hva+sIiOtF\n9uyEqYmafSczpUtQdAiSDLQwtVrFgG7ulFXWEpuUz/ELOTy+8meOSEuBaCe0WoVTF/NwsDE32rEB\nTbG1MiOim4bswgrOy4Bh0QFIMtAKBoZ6APDD/mQ+3hhHda2W/WdkfXPRPiRmFlFaUUPvLq6oO+BC\nQi1l+LXukn0ykFB0AJIMtAJfd1s6uViTkVuGSqXCxd6C+LSrMthItHm1dVo2HboESBdBUwI97fHR\n2HIyIY/CkipDhyNEs0gy0ApUKhXDe3thZqrm8Sk9GNbbizqtwunEPEOHJsQNKYrC/227QFxKAT0D\nXQj171h7DbS0X//OtYrCftnZULRzek8Gli9fzowZM5g5cyZnzpy57rXo6GjuvfdeZs6cycsvv4xW\nq+XIkSPccccdzJ07l7lz5/L666/rO+TbMrKfDx8+M4TwLq707aoB4MS1edtCtEWbDl3i4NksAjrZ\n8fiUHqjV0kXQlAHd3bEwN+Hn05ep02oNHY4Qt81Un5UdPXqU1NRU1q1bR1JSEosXL2bdunW615cs\nWcJ//vMfPDw8WLBgAfv378fS0pKIiAhWrVqlz1BbhJlpfa7l4WyNl6sNZ1MKqKyuxdJcrx+7EE1S\nFIU9MRnYWpnx9D29sDA33nUE/ggrC1PuDPVg78lMTl3Mp29X6VoR7ZNeWwYOHz7MyJEjAQgKCqKo\nqIjS0lLd61FRUXh41A++c3Z2prCw44zS7RPsRk2tlrPJsm+BaHtyrlZQXF5DNz8n7K3NDR1OuzKi\nT/1Awq3Rl2S/AtFu6TUZyMvLw8nJSffY2dmZ3Nzfms5tbW0ByMnJ4eDBgwwdOhSAxMRE5s+fz6xZ\nszh48KA+Q24xfa4NxvrlzGW5YIg2JzGjCIAu3g4GjqT98XKzpW9XN1KulBB7LdmPPpclyxWLdsWg\n7dWNfSnm5+czf/58li5dipOTE/7+/jz55JOMGzeO9PR07r//fnbs2IG5efu6e/F1tyXE15GzyQX8\ncvoyQ8ONexU30bZczKhfPruyrw23AAAgAElEQVSLEe1G2JImRwYQE5/LxoMp5F6tYO3OBAACOtnh\n7yFrNYi2T68tAxqNhry830bU5+Tk4Ob2Wx9baWkpDz/8MM888wyDBg0CwN3dnfHjx6NSqfD19cXV\n1ZXs7Pa3gI9KpeIvE7tjbWHKN7svciW/zNAhCaFzMaMICzMTvDU2hg6lXfLR2NIn2I3ky8Ws3ZmA\n5bUxF//dn2LgyIS4NXpNBiIjI9m+fTsAcXFxaDQaXdcAwIoVK3jggQcYMmSI7rmNGzfy+eefA5Cb\nm0t+fj7u7u76DLvFONtb8sC4EKprtHyy6ZwsUyzahNKKGq7klxPkZY+JWmYb367Jkf4A2Fia8vKc\nvgR7O3A6KZ+UK7LVsWj7VEoTHdjR0dGsWbOGoqKi65r1165de1sVvvvuuxw/fhyVSsXSpUs5d+4c\ndnZ2DBo0iP79+9O7d29d2YkTJzJhwgSef/55iouLqamp4cknn9SNJbiZ3NyS24pPHz7ZFEd0XDbz\nxoUwpJenocMRRu7UxTxWbTjD5Eh/pgwONHQ47Vp8WiFO9pZoHK04f6mAv317irAgF565p5ehQxNG\nwM3N7raPbTIZGDNmDI899hientd/aUVERNx2pfrQlpOBwpIqXv7kMJZmJrz16ECsLGSqoTCc7/cl\nsi06jYUzw2WhoRakKApvf32ShPSrDOnlyb3Dg7C2NDN0WKIDa04y0OS3kLe3N1OmTLntCkRDTnYW\nTLjDjx/2p7D58CXuGdbZ0CEJI6MoCmdTCjA3VXMh9SoqFQR2koFuLUmlUvHA2K7888ez/HL6MqeT\n8lh4bzjeGtumDxZCz0yWLVu27GYFCgsLiY+Px8bGhtLSUoqLiykuLsbBoW1PQSovrzZ0CDcV0Mme\nQ3FZnL9UiKerDZ6uMnBL6M+pi3l8sP4MB2OzuFpaha+7LaP6+Rg6rA7Hztqcwb08MVGrOJ2YT25R\nhW4jMyFamo2NxW0f22Q3wYgRIxoepFKxe/fu265UH9pyN8GvYpPz+SgqlupaLcP7eHHPsCBZnVDo\nxeebz3HwbBZDwz2pqq5jQHd3enV2NXRYHdo7X5/gQtpVXn2gHwHSCiNaQauOGWiv2kMyAJCZV8bH\n/z1LRm4ZNpamjOrnw6j+PjKOQLQarVbhmdUHMDFR8d4TkbJNsZ78OqCwdxdXnro7zNDhiA6oOclA\nk/OIcnJyWLx4MZMmTWLy5MksWbKEggJZUreleLna8P/u78eUQQEA/HgghTU74g0clejIki4XUVpR\nQ68gV0kE9CjEz4kgL3tOXswjPae06QOE0KMmk4ElS5YQGhrKypUreffddwkMDGTx4sX6iM1omJuZ\nMHlQAH97/E7cHC05dTGP2jrZAU20jlPXttIOl24BvVKpVEy60x+AqJ+TZFly0SISM4rIu1rR7PM0\nmQxUVFQwe/ZsunTpQnBwMPPmzaO8vLzZFYuGLM1NCQtypbK6jovX1ooXoqWdTszHzFRNN3+npguL\nFtUz0IUQX0dOJ+Vz7EKOocMR7VxFVS3vfHOCv39/Gm0zk8tbSgZycn77pc3KyqK6um2P1G/PwoJc\ngPrBhUK0lO/2JvLqZ0fYeDCFy3llhPo7Y2Em2xTrW/10wxDMTNV8vTOB0ooaQ4ck2rH0nFJq6xSu\n5JdzIj636QNuoslk4PHHH2fatGlMnTqVKVOmcO+99/LEE080q1JxY119HDEzVRObJMmAaBl1Wi37\nTmaSmVfGj9fWyu/V2cXAURkvd2dr/jQogOLyGtbtuWjocEQ7lpb920D5TYcuNetcTQ5ZHzZsGLt2\n7eLSpfqKAgICsLC4/bmM4ubMzUzo5ufEmaR8Coorcba3NHRIop27lFVCZXUd/UM0aJysyMwto3+I\nxtBhGbUxET4cOpvF4bPZzLyrCzayMqG4DWnXBqL6uduRmt28GXQ3TAY2bNjA3XffzQcffNDo608/\n/XSzKhY31jPQhTNJ+ZxJzmeYbHUsmun8pUIA+oVoJAloI0zUau7o7k7UL8mcScxnYA9ZiEj8cWnZ\nJZiZqnlwfAjLvjzWrHPdsJtAfW33MhMTk0b/idbTM7B+ffgzidJVIJrvfGp9MtDV19HAkYjf6x1c\nv337iYvN6+sVxqm2TsvlvDK83WzwdbdjRJ/m3TjesGVg6tSpANja2jJv3rzrXlu1alWzKhU3p3Gy\nxtPVhlOJeXy/L5FpQwJla1lxW2pq60jMLMLbzRZ7a3NDhyN+x9PFGncnK84mF1BTW4eZqdxkiVt3\nOa+M2joFH039QkNzRndt1vlumAxER0cTHR3Nxo0bKSr6bZpbbW0tUVFRLFiwoFkVi5ub/6dQPoyK\nZVt0GimXi3n6nl4y+lv8YYmZxdTUauku0wjbHJVKRe9gN346ksa5S4WyHLT4Q9Kyfx0v0DIbX93w\ndjMwMJCgoCDg+q4CS0tLVq5c2SKVixvzdrNlyQP9Ce/syoW0q/y4P9nQIYl26Hxq/WqhIX6SDLRF\nvbvUJwAnpatA/EFpOfUDBn3cb38J4t+7YcuARqNh0qRJ9O7dG29v7+te+89//sOAAQNaJABxY9aW\npjz6p1CWfnGUHUfT6RusobN3294tUrQt51MLUatUdPWR8QJtUZCnA/bWZpy6mId2jIJaLctDi1uT\nll2KCvBxa+WWgV+VlJTw9NNPc//993P//fczc+ZMvvjiixapXDTNwsyEP4/vBsAXW89TXVNn4IhE\ne6BVFDYeSCEps5hAT3vZ+KqNUqtVhHdxpbi8hosZVw0djmgnFEUhPacEDxdrLMxbpvu4yWTgtdde\nY/To0RQVFfHnP/8Zf39/3nnnnRapXNyaYB9H7urrTVZBOQdjrxg6HNHG1dTW8eGGWH48kIKLvQVz\nRgcbOiRxEwO6uQNwOC7bwJGI9iLnagUVVXX4aFqmVQBuIRmwtLRkwoQJ2NnZMWzYMN58800+//zz\nFgtA3JpR/X0AiLs2Z1yIG9kdk8mpxDy6+TmxZF5/fFuoT1G0jq6+TjjZWXDsQg41tdLyJ26utKKG\nf/0YB9T/7rSUJtsOq6qqSEhIwMLCgqNHj9K5c2cyMzNbLIDWsmbNZ40+Hx7ej549wwHYtWsbV640\nfC/u7p0YPXoCAOfOnSEm5mij57rvvgcxMTGhsLCAzZujGi0zbNgofHz8AFi/fi0VFQ13l+ratTsR\nEXcCcPDgzyQnN1yi1M7OHlcHby6kFpKUdJFDh35utL6pU2dga2tHZWUl33//VaNlBgyIJDi4vuth\ny5YfKChouJ6Bj48/w4aNBODkyWOcPXu6QRlTUzNmzXoAgKysy+zcubXR+saMmYRGU3/3s3btF2i1\nDXdkDAvrQ69efQDYs2c7mZnpDcq4umoYN24yABcuxHHs2OFG65s5837MzMwpKrrKxo3rGy0zZMhd\n+PnVbxsdFfUtZWUNt5Tt3LkrAwcOBuDw4f0kJjbcWtrGxpZp02YCkJqawi+/7G60vsmTp+Pg4EhN\nTTXffvufRsv07z+QkJBQALZt20heXsONbLy8fBgxYgwAp0+f4MyZE9e9XqdVEZ3ti6W5OY9N6UF5\nSQE/btjUaH2jRo3Hw8MTgG+++T9qaxuuk9+jRy969+4PwL59u0hPv9SgjLOzCxMm1E9FTkg4z5Ej\nBxut75575mBpaUlpaQk//LCu0TKDBg0jIKAzAD/++B0lJcUNygQGdiEycigAR48eIj7+XIMyVlZW\nTJ8+G4D09FT27dvZaH0TJ07DycmZuro6vv76y0bL9O0bQffuYQDs2LGF7OyGrXOdOnkxcuQ4AGJj\nT3Hq1PFGzzV37l8AyM/PZevW/+qet1WcKaxyZPUX65g5cQienvXjtNatW0N1dVWD83Tr1oN+/e4A\nYP/+PVy61HCAsaOjE5Mm3Q1AUlIChw790mhMd989C2trG8rLy9iw4ZtGy9x55xCCgupbmDZt2sDV\nqw1vSvz9Axk8eAQAx49Hc/782QZlzM0tmDFjLgCXL2ewe/dPjdY3fvyfcHGpX4ehI17Lp0y5F4CU\nlEQOHNjXaH2NXcur69ScyutEWa0FnayL6WRdBNSvL7Blyw/Mm3d/o+e6FU22DDz//POkpaWxYMEC\nXn31VUaPHs3EiRNvu0Jx+7r5OVFeVUvWVdkoSjTucrkd1VoT7urrja2VLHHbXnhY1yejWeXSiiNu\nLLHIhbJaC7xsiujqmIda1XIDTlVKB91UOze3ees0t0XR57L4ZOM5pg8LYvwdfoYOR7QxNbV1vPCv\nw1RW1fHOYwOxk0WG2pVXPz9CdkE5f39qkOxVIBpIyy5h2ZfH8HW3Zcm8/o0mAm5ut59M3jAZuO++\n+1DdJOtYu3btbVeqDytX/t3QIbS46joTDmb54WRRTrhrlqHDEW1IRa0piUUu5FXa4Gt7lSCHAkOH\nJP6g1BIHkotdsDKpwcu2CA/rUszUDbvUhHE6k+dOfpUNYS5XcLFs2EUB8Nxzz972+W84ZuCZZ565\n7ZOK1mFuUoeNaTVF1ZZoFZApyQLqv0RSip1RUGFnVomvrUxRa4+8bYqpqDUju9yWxCJXkoud8bAq\nxdfuKlamtYYOTxjQ1SpL8qtscDSvwNmi8USguW6pm2Dfvn1kZGQwZ84c0tLS8PHxuWmrQVvQEbsJ\nAL7emcCumAxevK93i44kFe3T/jOX+XLrBZzsLJgxojP9QjQt2o8o9K+kvJoDZ66w50Qm+cWVuDtZ\nsfyRO9r8NVe0nve+PUncpUJemduXIK8bLzzXnG6CJgcQ/u1vf2P9+vVERdWPsNy0aRNvvPHGbVco\nmqfbtTXmz8kUQ6N3PrWQ//wUj42lKYtm9Saim7skAh2AnbU54+7w4+35A+kR4Ex2YQWFJQ1nFAjj\nUFRWzbnUQoI87W+aCDRXk8nAsWPH+PDDD7GxsQHgiSeeIC4urtUCEjcX4uuEuZma/Wcuy5xkI1Ze\nWcM/f6yfuvXktJ54OFsbOCLR0tRqFcHXlpFOudIxWzpF02Lic1AU6H9tcarW0mQyYGFhAaBroqqr\nq6OuTr6EDMXKwpS7+npztbSafScvGzocYSA/HU2jtKKGKYMDpLuoAwvwtAfgUlbD9RaEcTh6PgcV\n0D9E06r1NJkM9OnTh5dffpmcnBy+/PJL5syZQ0RERKsGJW5ubIQvFuYmbIlOpUr2KjA6RaVV7DiW\njoOtOSP7+Rg6HNGKAjzq+4CTL0syYIwKS6q4mH6VLt4OONlZtGpdTSYDzz77LEOHDmXgwIFkZWXx\n4IMPsmjRotuucPny5cyYMYOZM2dy5syZ6147dOgQ06dPZ8aMGXz00Ue3dIwxsrM2Z1Q/H4rLqtl7\nou2vBila1uZDqVTXaJl8pz8WZi2zSYlom6wtzXB3tuZSVgnajrkkjLiJ4/E5KLR+FwHcwnLEn3zy\nCY888ghjx45tdmVHjx4lNTWVdevWkZSUxOLFi1m37rdlSd944w0+//xz3N3dmTNnDmPGjKGgoOCm\nxxirMRE+7I7JYNuRVIb38ZIvBSNRUFzJvlOZuDlaMriXp6HDEXoQ0MmO6LhscgorZGyIkTl2IQeV\nCvp1dWv1uppMBhISEkhNTcXPr/kr3h0+fJiRI+vXuw8KCqKoqIjS0lJsbW1JT0/HwcGBTp06ATB0\n6FAOHz5MQUHBDY+5mb59ezQ73rbOI3QC7t3HMGn2k+Qn7Td0OEIPnP3vwKf/fZzau5YBnz5i6HCE\nHrh2HoJX7+nMfuhxrqY1vueB6HhMLe0JnfQGpTkXGTF0wS0dk5aWetv1NdlNEB8fz4QJE4iMjGTY\nsGEMHTqUYcOG3VZleXl5ODn9NtjJ2dmZ3NxcAHJzc3F2dm7w2s2OMXa5F39GW1uNputdoGryRyk6\nAGvX+s2VyvKSDByJ0JfygjQArJ19DRyJ0CcHz54AFGU23CSuNTTZMvCvf/2r1Sq/nW0RbvWYmJiG\nO2Z1RGt3JrA7JoNVX24nsmcnQ4cjWtkrn0ZTUFLFzzu3YqKWBNAYVNfU8cTff+GOoZN55fO/Gjoc\n0UqKy6uJuZDD4F6emJqoeW/dKeJSCvj6k5W4OFi2ev23tOiQl5dXg3+3Q6PRkJeXp3uck5ODm5tb\no69lZ2ej0Whueoyon1lgolax5XAqV/LLDB2OaEWlFTVcyS8nyNNeEgEjYm5mgpebDWk5pdTWyV4F\nHdWu4+ms2ZHA9qNplFfWcCG1ED93O70kAnALyYC3tzfr168nKSmJ9PR03b/bERkZyfbt2wGIi4tD\no9Ho+v69vb0pLS0lIyOD2tpa9u7dS2Rk5E2PEeDiYMmgsE5kFZTzyqdHeO3LY6RckWlIHVFiRhEA\nnVtxFTLRNnX2cqCmVsu5S7IBVUd16drCUlujUzl0Nos6rULvYFe91d9kN8HWrVsbPKdSqdi9e/cf\nrqxPnz6EhoYyc+ZMVCoVS5cuJSoqCjs7O0aNGsWyZctYuHAhAOPHjycgIICAgIAGx4jrzR4VTFdf\nR6LjsolNyuedb07y5NSehAY4N32waDcuZtZvQNTF29HAkQh9GxzmyZ4Tmew5kUlYkP6+IIR+KIpC\nanZ9MlBRVce6PYkA9AnWXyv4LW1U1B511I2KmhITn8PHG8+hKApP3d1TLhwdyFtfxZCYWcSHzwzB\nyqLJPF50MMvXxJCUWcTyR+/A3UmmGHYkBcWVPP+PQ/QKcuFyfhm5VyvROFrx1qN/bIOqVt2oKCcn\nh8WLFzNp0iQmT57MkiVLKCiQpqq2qm9XDQtn9EKrVdgWnWbocEQLqanVknKlBB83W0kEjNSIvl4o\nIAuNdUC/tgoEejlw99AgAPqGuOl1p8omrypLlixh8ODBPPjggyiKwqFDh1i8eHGrzjIQzdPV1wlf\nDzsSM4uorK7F0ly+PNq71OwSauu0dPaW8QLGql9XDd/aJHLgzBWmDg7EwlwWGusoUrPqkwE/dzvC\nglxwtrfER6PfsXFNtgxUVFQwe/ZsunTpQnBwMPPmzaO8vFwfsYlmCPV3pk6rkJB+1dChiGZSFIX9\np+s3pZJkwHiZmqgZ2suT8qpafj4lrQMdSVp2KQB+1/ai6OzloPdVZZu8ZayoqCAnJweNpn7HpKys\nLKqrq1s9sOZas+YzQ4dgUIVVloAn67fu57RjvqHDEc2QWuJAcrELNqZVXDi2hYsxHXKYj7gF1XVq\nTFU+rN8bT8a5XZiZyFTDjuB8li/matgY9Z9mnee555697WObTAYef/xxpk2bhpubG4qiUFBQwJtv\nvnnbFQr9cDCvRK3SUlhlZehQRDPkVNiQXOyChbqWMNcsTNSSCBgzcxMtfnZXSSp2IaXEiWBJ9Nu9\n6jo1VXWmuFgadp2YJpOBYcOGsWvXLi5dugRAQEAAFhatu5ViawoP70fPnuEA7Nq1jStXGja3ubt3\nYvToCQCcO3eGmJijjZ7rvvsexMTEhMLCAjZvjmq0zLBho/Dxqd/XYf36tVRUVDQo07VrdyIi7gTg\n4MGfSU6+2KCMnZ09U6bcC0BKSiIHDuxrtL6pU2dga2tHZWUlsf/cRUGVNVV1JliY/LbV8YABkQQH\ndwNgy5YfKChoeEHx8fFn2LD6PSFOnjzG2bMNl8Q0NTVj1qwHAMjKuszOnQ2noQKMGTMJjaZ+1621\na79Aq214NxMW1odevfoAsGfPdjIzG65l4eqqYdy4yQBcuBDHsWOHG61v5sz7MTMzp6joKhs3rm+0\nzJAhd+HnV7+0b1TUt5SVlTYo07lzVwYOHAzA4cP7SUyMb1DGxsaWadNmApCamsIvvzQ+5Xby5Ok4\nODhSU1PNt982nv337z+QkJBQALZt20hObg6JRS6oVVrCXK9gaVKHl5cPI0aMAeD06ROcOXOiwXnU\najWzZ/8ZgJycbLZv39RofaNGjcfDo36zo2+++T9qa2salOnRoxe9e/cHYN++XaSnX2pQxtnZhQkT\npgKQkHCeI0cONlrfPffMwdLSktLSEn74ofHNxgYNGkZAQGcAfvzxO0pKGq6ZERjYhcjIoQAcPXqI\n+PhzDcpYWVkxffpsANLTU9m3b2ej9U2cOA0nJ2fq6ur4+usvGy3Tt28E3buHAbBjxxays680KNOp\nkxcjR44DIDb2FKdONb6HwNy5fwEgPz+XrVv/22iZu+4ai6enNwDr1q2hurrqute9bYvIq3XlSrkj\n82eNJvn8ES5dSm5wHkdHJyZNuhuApKQEDh36pdH67r57FtbWNpSXl7FhwzeNlrnzziEEBQUDsGnT\nBq5eLWxQxt8/kMGDRwBw/Hg05883XAXW3NyCGTPmAnD5cga7d//UaH3jx/8JF5f6aXU3auXtKNfy\n/+46Uv+82fUt7r+/ln///VeNxvS/1/LmaHLMwPHjx1m6dCkhISGEhIQwf/58jh071qxKhX44WdT/\nshZUSutAe5RXaUNVnSmdrEuwNWv4RS2Mk1oFkV3M0CoK/952nkZya9GOlNbU31zbmlU1UbJ1NbnO\nwKxZs1ixYoVu18KMjAwWLVrEN980nkG2Fca6zsDvZeSUsuSLo9zR3Z1HJocaOhzxB634KoaEjCLe\nfHgAnVxsDB2OaEMUReHjjXEcPZ/DuAG+3DO8s6FDErdp5bpTnE0p4G+P3dnspYdbdZ0BRVGu277Y\n29sbtayL3i54udngbG/B0fM57I7JMHQ44g9Iyy4hIaOIHgHOkgiIBlQqFQ+MDUHjZMW2I2mcScpr\n+iDR5sTE53I2pYAgL3uc7Q3b/d7kt7qnpyd/+9vf+Pnnn9m3bx+vv/46Hh4e+ohNNJNKpeKxP/XA\n1sqUtTsTWLsz4bZ2ihT6t+t4ffI2sp+3gSMRbZWVhSmP/akHpiYqPtt8noLiSkOHJP6AkvJq1my/\ngKmJmj+P76bXBYYa02Qy8NZbb2FjY8M333zDt99+i7u7O2+88YY+YhMtIMjLgf/3QD+8XG3YHZNB\nyhXpPmnLauu0fLv7Igdir+DuZEWPQBdDhyTaMD8PO2be1YXSiho+3hhHnQwgaDe+3nWR4vIapg0J\nbBOtf03OJrCwsGDevHkkJyejVqsJCAjAykoGpLUnrg5WTBsayOoNscTE5xDoaW/okEQjyitr+ft3\np0i6XIyHszWPT+2B2sB3C6LtG97biwuphRyPz+Vf/42jvLKW1KwS7hvVhTt7dDJ0eKIR2YXlHDmX\njb+HHaP7+xg6HOAWkoFdu3axbNkyPDw80Gq15OXl8frrrzN06FB9xCdaSI8AZyzMTTgen8P0YUEG\nb5ISDX21I56ky8VEdNMwb1yILCMtbolKpWLeuG6kZpcQE58L1K9W+Nnm81RV1zG8j3Q1tTUHztRP\nTx3V3we1um1ci5u82nz22Wds3LgRZ+f67XCzs7N5+umnJRloZ8xMTegV5MLR8zmkZZfqlr0UbcPh\ns1lEn8smyNOehyd1x0QG6Yo/wNrSlIUze5OQdpXQAGdKK2p479uTrNmRgLmZCZE9pYWgrajTajkQ\newUrC1P66nGL4qY0ecUxMzPTJQIA7u7umJmZtWpQonX061q/pHRMQo6BIxEAVTV1nE3OZ8exdNbs\niMfC3EQSAXHbNI5WDArrhJOdBT4aW16c3QeVCvbJPgZtSmxSAUWl1QwMdcdcz/sP3EyTLQM2NjZ8\n8cUX3Hln/apKBw4cwMbG8IMdxB/XM8gFczM1xy7kMnVwoHQVGNhnm8/pmnUB/jKxGxrZp160kE4u\nNgR5OpB0uYjSihpsreQmri345dqmY4PDPA0cyfWaTAbefPNNPvjgAzZu3IhKpSI8PJzly5frIzbR\nwizMTOgZ6EJMfC5RvyTTxduR0AAnuRM1gKKyak4m5OHhbM2UwQH4utvh4SyJgGhZPQOdScws4tyl\nAiK6uRs6HKNVXFbNjmPpZOaWEptcgJ+7XZvrqm0yGYiOjuavf/3rdc998803zJo1q9WCEq0nsmcn\nYuJz2XI4FUildxdXnpzWU1oJ9Cw6LgutojCij5dcpEWr6Rnkwg/7U4hNypffMwP678EU9p6o766x\ntzZjUqS/YQNqxA2TgXPnzhEXF8cXX3xx3YYMtbW1fPTRR5IMtFPhnV1574lIUrNK2HoklZMX8/j5\n1GWG9fYydGhGQ1EUDsRewUStYkB3uUCL1uPrboe9tRmxKQVoFUWmqhpAZXUth89m4WRnwbIH+2Nn\nbW7okBp1w2TAwsKC/Px8SkpKiImJ0T2vUql44YUX9BKcaB1OdhY42Vng627L0i+O8u3ui3T1dWwT\nC18Yg7TsUjJzy+gb7NZmLwyiY1CrVPQIdOHQ2SzSZRaRQUTHZVNZXcfYCN82/fd+w2QgKCiIoKAg\n7rjjDsLDw/UZk9ATZ3tLHhgbwj9+PMv/bbvAS3P6Gjoko3Agtn6OsUz3EvrQ81oyEJucL8mAnimK\nwt6TmahVKgb3alsDBv9Xk2MG3nnnnUb7k9euXdsqAQn96heioZufE+dTC8krqsDVQVaXbE2KonDs\nfDZ21mb0CHRu+gAhmik0wBmVCk4k5DJhoJ+MD9KjpMvFpOeU0rerG052ht2IqClNJgPPPPOM7v81\nNTVER0djbS2jnjuS/t00nE8t5PiFXMYO8DV0OB1afnElxeU19AvRYGoiszhE67O1MiO8sysnL+Zx\n7EKODCTUoz0n6jccG94OxmQ1eTWKiIjQ/YuMjGThwoWcOHFCH7EJPekT7IZKBTHxshhRa0vLLgXA\nz93WwJEIYzJjRGdMTdSs25NIZXWtocMxCnlXKzh6LgcvVxtC/JwMHU6TmkwG0tPTr/t35MgRUlJS\n9BGb0BN7a3NCfJ1Iulws26C2stSs+l0j/dyl71boj8bJmnEDfCksqWLzoVRDh2MUfjqahlZRGH+H\nX7uYxdFkN8EDDzyg+79arcbW1pZp06a1alBC//qFXOsqiM9tM7todURp2fXJgK8kA0LPxg/049DZ\nK2w/msbAHh54ucrsodZSVFbN/jNXcHWwJKK7xtDh3JImWwb27NnDnj172Lp1K0899RQODg58/fXX\n+ohN6NGvXQXHL0hXQbrlUVIAACAASURBVGtKyynF0dYce5u2O8VIdEwWZibcNyqYOq3Cv7edR6tV\nDB1Sh7XzWDo1tVrGDvBtNyu8NhnlqVOnWLJkCYMHD+a1117j3nvvZe/evfqITeiRg405XX0cScws\n4t1vT3Ix46qhQ+pwisuqKSypki4CYTC9u7gR0U1DUmaxbnCbaFnxaYXsPJ6OvY05g9rR9OEbJgOf\nfvop48eP59lnn8XZ2Zn169fj6+vLhAkTbnvXwpqaGhYuXMisWbOYM2cO6enpDcps3bqV6dOnc++9\n9/L3v/8dgKioKIYOHcrcuXOZO3cu//znP2+rfnFz948Nobu/E+cuFfLWVye4kFpo6JA6FOkiEG3B\nfSODsbE0ZcPPyTJGqIWlXCnmg/Vn0GoVHprQrU3tStiUGyYD77//PmZmZrz11ls888wz+Pk1f37q\n5s2bsbe355tvvmH+/Pm89957171eUVHBu+++y7///W/WrVvHoUOHSExMBGD8+PGsWbOGNWvW/P/2\n7jSuyjr///jrcNg3AdnEPTRB3DAQl3IrW6xsxZEZJm1syqmxmrFRmnHSx+PXjFo5U03OvywzW2zB\npjItW7UycUVRcCFEFJEdlE08cLj+NyhmGHHcgMPhvJ+3PNc5l+dzvDznvM935Te/+c1l1SEtCw3w\n5LFp0Tx4+yAAtu4vsHFFncvRH8OAFn4RW/L1ciV+Qj/O1Fn5Sq0DrSbjSBl/e3cPZ+qs3D8lisFX\ndLV1SRflnGFg06ZN3HzzzSxYsIBJkybxz3/+k7q6ust6spSUFCZNmgTA6NGjz5qi6OHhwdq1a/H2\n9sZkMuHn58fJk2qubm/DrwzC19OFPVmlNBjqV7wUZ+qs5JVUU29taDp29Mdphb00rVBsbFRUCF7u\nzny/r6DZ/1G5eA0NBv/6Npu/vbuHWouVX02OJDbCPgYN/qdzhoGgoCDuv/9+PvvsM/76179y7Ngx\n8vLymDVrFt98880lPVlJSQkBAY2rrjk5OWEymbBYLM0e4+3d+EF56NAh8vLyGDp0KADbt29n5syZ\nTJ8+nf3791/S88uFcXIyMaRfIBXVFo7kV9i6HLu0fG0Gf35lGw/+7Vv++sYutu0v5GhBBV7uznT1\ndbd1eeLgXJzNjBoUSkW1hbSsEluXY9fWbDrMui05dO3izh9/eZXdLjN+3qmFALGxscTGxjJ//nzW\nrVvHsmXLGDdu3P88Jzk5meTk5GbH0tLSmt02zvGrMycnh8cee4ylS5fi4uLC0KFDCQgIYPz48eze\nvZt58+bx8ccfX0jpcomi+wWyeW8+e34oITysi63LsSvZJyrY/UMJgV3c8XJ3IftEBVl5GQBE9vbX\ncrDSIYwbGsaXO4/zTdoJrhpgf79kO4KMnDI2bD9GiL8H86fH4OV+aePpOoILCgM/8fb2Ztq0aUyb\nNu28j42Pjyc+Pr7ZsaSkJIqLi4mIiKCurg7DMHB1bT7FqqCggIceeoinnnqKyMhI4N+bJgFER0dT\nVlaG1WrFbLafwRn2ZmCfAFycndjzQwl3jQu3dTl25cPN2QD8anIkEb39KTp5mo83H2FLRoHd9SNK\n59U9yJvw7r5kZJdpX5JLUHW6jlfW7cfsZOL+KVF2HQTgAqYWtqYxY8awYcMGADZu3EhcXNxZj/nT\nn/7EwoULiYqKajr28ssvs27dOgAyMzMJCAhQEGhjbq5movoEkFdSTVF5ja3LsRtZx0+Rnl1GRC+/\npiVIg/08mHnLQF6cM57rR2hBJ+k4xg4NwwA2pubZuhS7869vDnOqysLt1/SlbzdfW5dz2S6qZeBy\nTZ48mS1btpCQkICrqyuLFy8GYPny5cTGxuLn58fOnTt5/vnnm86ZMWMGt956K3/4wx945513qK+v\n5y9/+Ut7lu2whvUPZE9WCZt2nyB+Qriat8+j6nQd73z9AwC3X3PFWfe7ONvH4iPiOEZEhvDhd0f4\nYudxJkR3J9BPrQMXwjAM9mSV4OPpwk1xvW1dTqswGefquLdzxcWVti7B7lWdrmP+K9uoqLYQNzCE\n6TcOwN21XfOj3cg4UsYr6/dzqspCTERw0/RMkY4uJaOAlz/er/+3FyG/tJo/vbyNEZHBzLqt4/yb\nBQVd+rRl/VSRc/L2cOGJ6TGEd/dl2/5Cnkvee85Bn46srKKWZ5PTqKqp4+7x4cyaEnX+k0Q6iJED\nQwgP82XnwSIOHdNCYxdif07jv9PAPgE2rqT1KAzI/xTg6868nw9n0BUBHMo9SdrhUluX1OH8cPwU\n1gaDO8de0bhDmZO6U8R+mEwmEq67EoD3NmYp8F+A/TllQOPsoM5CYUDOy9nsxNQJ/TABH3ybrYWI\n/ktOQeNaDOHdNQVT7NMVYb7EDAjiSH6lliE/D2tDAwePnSTIz52gTjTGQmFALkiPIG/iokLILapi\n58Eicouq2HWoSMEAyMmvxIRWFhT7dtPIxoFwn2w9auNKOrajBVWcPlNPZO/O00UA7TybQOzbbVf3\nZceBIl76KIOfIsCvbxnIqEGhNq3LlhoMg6OFlXQL9NLgSrFrfbv5Etnbn4yccnIKKugTav/T5VpD\nvbWBI/kVZOWdokeQNzk/rso6sE/n6SIAhQG5CCH+ntwY14vv9+XTr4cfOw8WkZJR4NBhoLCshlqL\nVdsSS6cweWRvDhwt55OtxzSzADicd4q/v5dGzZn6pmM/jQjqTOMFQGFALtJd48KbViR88vWdZOSU\ncaraQhcv1/Oc2TnlFDROYe3TTWFA7N/APv70DvFh18Eiik+e7lR94pfiu7351JypZ8ygUAb2DeDA\n0XK27y8kvHsXfDw712eexgzIJYsbGIJhwI4DhbYuxWZy8hvDQF81qUonYDKZmBTbAwPYtNuxVyVs\nMAzSDpfg7eHCvZMjGRUVyq8mR/L8I9fwu6lDbV1eq1MYkEs2IjIEkwm27nesMGAYRtO2rzkFFZhM\n0FODB6WTiI0IxsfThW/TTmCps9q6HJs5WlDJqSoLQ8O7Npsu7Opixtnc+b46O98rknbTxcuVgX0C\nyD5R4VD7FyRvOszDz33HzoNFHC2spHugF24u2itDOgcXZzNjh4ZRXVvPNgdu9ftpa+eh/QJtXEn7\nUBiQyzJyYAgAH23OcYhphhU1Fr7ceZxai5V/fpiOpa5Bo66l0xk/rDsmE3y9K89hFyHak1WC2clE\nVN/ONYXwXBQG5LLERATTK9iblIwCVn5ygIaGzv3BsSk1j3prA+Oju9PFu3EAkQYPSmfTtYs7w/oF\ncrSwktTM4qbjhmF06tC/eW8+X+7MpaCshmOFVUT08sPDzTHG2TvGq5Q24+Zi5rGEaP727h6+31eA\ni7OZe24YYOuyWs0Zi5XVX2YS3r0Lo6JC+Dr1OB5uzkydEM4to3qzeV8+Iwc67tRK6bymjOlLRk4Z\nL63dz6PxzlSdruPtr35gQE+/DrU5T2tZn5LD+99kA+BszgIcp4sAtGuhtJKa2nqWrE4lt6iKOT8b\n1ima1gzDYMX6A2xJLwAaV2E8XlzFjXG9mDqhn42rE2l7GUfKeG5NGg0NNGsRWDJrVKeadrhh2zHe\n25hFgK8bIyJD2Lg7j/r6BhY9MJLALvbzOrVrodicp7szv5ociZPJxKoNBzljsf9RyJv35rMlvYDe\noT70696F48VVOJlMXHdVD1uXJtIuovoGMOu2QTg5QUQvP6aM6QM0vjc6i/zSat7bmIW/jxtzE6KZ\nOqEfT/9mNP93X5xdBYHLpW4CaTW9Q324YURPPt12jI82H2HqRPv99Xy0oJK3vsjE082ZB28fhL+P\nG5/vyMXL3ZkAX3dblyfSboZfGcQ/Hh2Lq7MTlroGPt+Ry+Z9+dx2dV/qrQ3klVTTt5v9DqLd9uPU\n6Pjx4QT7ewKN27d7e7jYsqx2p5YBaVVTru5LsJ8Hn+/IpbzyjK3LuSR5JdUsfXcPdfUNzLw5kiA/\nD5zNTkwe2Ztxw7rbujyRdufmYsZkMuHmaiZuYAjllWfYdqCQJat383+rdrLdTqcgGobBjoNFuDg7\nOdT4gJYoDEircnMxc+PIXjQYBpv3nrB1ORctv7SaZ97ZTdXpOqbfFEH0lUG2LkmkQ7lmSBgAL3+8\nnyM/btrzScpRu5yCmFdcTX5pDUPCuzrMrIFzURiQVhcXGYKrixPf7c23m2lIZyxW/vXtYRa8up1T\nVRamXdufsUPDbF2WSIfTt5sPPYK8ALg+ticxEcEcK6oiI6fMxpVdvO0HG1s0RkSG2LgS23PsKCRt\nwsPNmRGRIWzem8+BnPIOP7PAMAz+/t4eMo+fwt/HjYRr+xMTEWzrskQ6JJPJxEN3Dqbgx1/Uxwqr\n2HmwiE+3HmNQ3662Lu+CGYbB9gNFuLo4MeQK+6m7rahlQNrEuB9/VX+T1vG7CnIKKsk8forI3v78\n5ddxCgIi5xHi78nQfoGYTCZ6h/owsI8/B46Wk1NQYevSLki9tYFv005QVH6aYf0CcXPVcuIKA9Im\nrgjzpXugF7sziyk5eRqA0lO1/PXNXSRvyrJxdc19+2NguWFEL9xd1VgmcrFujOsFwNepHX+nw/Qj\npSS9lMKqDYdwMpmYEK1BwaAwIG3EZDJxXUwPrA0GT76+k+/35bPorV1kHT/FFztyqamts3WJAJw+\nU8/W/YV09XVjUAfvzhDpqAb2CSDA141dh4qoq++4a4ycqrbw0kcZVFRbuHZ4D/56fxwDevnbuqwO\nQWFA2szYoWH8YtKVVNfWs2L9AcoqztAn1Id6a+N0HoCTVWf4atfxpi2B20NljYUvduSSX1rN9gOF\nnLFYuWZIWLNtSkXkwjmZTMQNDOH0GStpWaUAWOqsFJ083a7v7f/FMAze+OwQ1bX1xE/oxy+uv7Jp\nXQHRAEJpQyaTiWuv6kGPIC/e25jFNUPDGNy3K3/4f1tIyShk7NAwXlm3n/055ZhMMHF426/styer\nhNc+PUhFtQXTV42DHU0muHpItzZ/bpHObFRUKJ9uPUZKRgFD+wWyZHUqR/IrMZkgrKsXv//ZMPx9\n3Nq9rpNVZygoreHwiVOkZhZzZU8/rtUqomdRGJA2N6CXP3+eHvvv2z39OJR7ks+257I/pxyAT7ce\nZezQMJzNbddY9dP6485mEzeO6MWBo+UcLawkun+gVhUUuUw9grzpGezN3sOlrPz0AEfyK+nbzQdr\ng8Gxwiq+23uCKWP6tmtNR/IrWPxWKnX1ja0Tri5O/GpyBE4mtQL+N4UBaXejBoVyKPdk0xfz4Cu6\nsvuHElLSC7imjeb25xZV8f43h/HzduX3PxtGjyBvDMPgaGElwX5qKhRpDaOiQnlvYxZbMwrpEeTF\n3J8Pp6HB4Hf/2MyW9AJuHd0HUxt+EZ+xWMktriI8zJdai5UXP0qnvr6BG0b0xN/bjYF9AtQ1cA4K\nA9LuYgYE8ebnmdRbG7hhRC8mDu/BvuxS1qccZfTgUMxOrds6UG9t4NX1B7A2GMy4KZIeQd5AYzdG\nn1D7XVNdpKOJGxhC8sYs3FzNPHjHYNxcGqfsDR8QxNaMQg6fqKBf9y6t9nyGYTSFi7r6Bpa+u4es\nvFP0CfXB29OF4pO13DyqN3eNC2+15+ys2jUM1NXVkZSUxIkTJzCbzSxatIiePXs2e0xUVBTDhw9v\nuv3aa6/R0NBw3vPEfni6uzA+OozM3JPcMqoPbq5mrh4Sxqbdebyy7gA3jOhJgI87heU1+Pu4Nds5\nrKLGgo+HywX/uqirt7JmUzZHCyu5enA3hoRrcRGRtuLv48ZDdw6mi5croQH//gU+elAoWzMK2bIv\n/6LDwFe7jlNWWUv8+OYbn52qOsOTr+8iyM+de26MYH1KDll5pwj29yCnoHEL+/Duvtx2dft2Tdir\ndg0D69atw9fXl6VLl7J582aWLl3Ks88+2+wx3t7evPHGG82OrV279rzniX35+XVXNrt9y6jeHDha\nzrb9hU27iAE4m008fNcQBl3Rlc+2H+Pdr7PoHeLDHWOvYPAVAecMBYZhsHF3Hh9vyeFUlYUAXzem\nXWu/uyiK2IvhLeznMbB3AH7ermw/UMQto/uQfaKCID8Peof6/M+/q97awPvfHKbWYiVmQHCz3RHf\n+iKT0opaSitq+fMr27A2GPQJ9SHpF8PJL61h+8FCrruqZ5uOQ+pM2jUMpKSkcPvttwMwevRo/vjH\nP7bpeWI/Anzd+cuv40jPLmPzvnys1gYCfN35Nu0EL/xrH6MGhfLNnhN4uDlzrLCSZ5PTuDGuF1Mn\ntPwF//GWHD787ghurmYmj+zN9SN64unuWFuSinQUTk6mxtkG247x2D+3NB2P6uPPlKv70r+HX4vn\nHTxWTq2lcd2CL3bkcv+UKABSM4vZeaiYft27cF1MD1Z/kYnZ7MTsu4bg6mKmd6jPeYOGNNeuYaCk\npISAgMaFXZycnDCZTFgsFlxdXZseY7FYmDNnDnl5edxwww3ce++9F3Se2D8nk4kh4V2bNeUPviKA\nf7y/j2/2nCDA140/JERTV9fA35PT2Lg7j9uv7ourS/OlRDemHufD744Q2MWdxxOvssl0JhFpblx0\nd3YeKqKrrzsRvf05dOwkGTnl7D9azrRr+zMp5uyu3z0/lADg7mpmx8Ei4if0w9ls4s3PD+FsNjHj\npgjCAr2I7h+ItcHQCqKXoc3+5ZKTk0lOTm52LC0trdntlra8nDt3LlOmTMFkMpGYmEhMTMxZj7HH\nrTLl0gwJD+ShOwezeW8+Uyf2I9ivcfzAyKgQPt16jL2HS5vtJZCVd4o3P8/Ex9OFOTaa1ywiZwv2\n82DJrNH/PjAGDh0r58WPMnj7yx8oKjtNwqT+TdP+DMNgT1YJnm7O3DU+nDc+O0Typiyy8yo4WWXh\njmv6EhbYuHuii7MZtftdnjYLA/Hx8cTHxzc7lpSURHFxMREREdTV1WEYxlm/7hMSEpr+PHLkSDIz\nMwkODj7vedJ5DesXyLB+gc2OjRzYuMDJtv2FzcLA59uPYQCzpkQREqApRCId2YBe/sy/J4bn1qTx\nVepxgv09mBTb2EKQW1RFWcUZRg4MYcygUD74NputGY3jiW4Z3ZubR/exYeWdT7uOrBgzZgwbNmwA\nYOPGjcTFxTW7Pzs7mzlz5mAYBvX19aSmptK/f//znieOp0eQF2GBXqQdLqWmth6AsopaUjNL6BXs\nTURvrTcuYg+6dnHnsWnReHu48P43hyksrwH+3UUwrH8gri5mbhndB3dXM7++dSB3jg3XwkGtrF07\nWCZPnsyWLVtISEjA1dWVxYsXA7B8+XJiY2OJjo4mNDSUu+++GycnJyZOnMiQIUOIiopq8TxxXCaT\nibjIYD747gipmcVcPaQbm/acoMEwmHhVjzZd2EREWpevlyuJ11/Jix9lsHL9Ae6e0I8dB4swO5kY\n1LdxDNH1sT257qoe2kOkjZiMTtoBX1xcaesSpI0Vltfw+EtbCQ/z5f4pUfzl9Z1YGwyeeWhM02In\nImIfDMPgnx+ksyuzuOnYoCsC+P3UYTasyr4EBV36DAoNvRS7FeLvSWRvfw4cLWfeiykA3Diil4KA\niB0ymUz88sYBuLuZ8XJ3ISzQ66yxQtJ21DIgdq3WUs/WjEK+35dP8ala5t9zVbMVC0VEHMXltAwo\nDIiIiHQClxMGtE6jiIiIg1MYEBERcXAKAyIiIg5OYUBERMTBKQyIiIg4OIUBERERB6cwICIi4uAU\nBkRERBycwoCIiIiDUxgQERFxcAoDIiIiDk5hQERExMEpDIiIiDg4hQEREREHpzAgIiLi4BQGRERE\nHJzCgIiIiINTGBAREXFwCgMiIiIOTmFARETEwSkMiIiIODiFAREREQenMCAiIuLgFAZEREQcnMKA\niIiIg1MYEBERcXDO7flkdXV1JCUlceLECcxmM4sWLaJnz55N96enp7NkyZKm21lZWSxbtozvv/+e\njz/+mJCQEACmTJlCfHx8e5YuIiLSaZkMwzDa68k++OAD9u7dy4IFC9i8eTNr1qzh2WefbfGxFRUV\nPPjgg7z++ussW7YMf39/EhMTL/i5iosrW6tsERGRDi8oyOeSz23XboKUlBQmTZoEwOjRo0lNTT3n\nY1esWMH06dNxclJPhoiISFtq12/akpISAgICGp/YyQmTyYTFYjnrcbW1tWzevJlrr7226diGDRu4\n9957eeCBB8jNzW23mkVERDq7NhszkJycTHJycrNjaWlpzW6fq4fiyy+/ZPz48U2tAuPGjWPkyJHE\nxsayfv16nnzySV566aW2KVxERMTBtFkYiI+PP2uQX1JSEsXFxURERFBXV4dhGLi6up517saNG0lI\nSGi6PWTIkKY/T5w4kWeeeaatyhYREXE47dpNMGbMGDZs2AA0fuHHxcW1+Lj09HQiIiKabj/55JPs\n3LkTgO3bt9O/f/+2L1ZERMRBtOvUwsmTJ7NlyxYSEhJwdXVl8eLFACxfvpzY2Fiio6OBxpkE3t7e\nTefFx8ezYMECnJ2dMZlMPPnkk+1ZtoiISKfWrlML25OmFoqIiCOxm6mFIiIi0vEoDIiIiDg4hQER\nEREHpzAgIiLi4BQGREREHJzCgIiIiINTGBAREXFwCgMiIiIOTmFARETEwSkMiIiIODiFAREREQen\nMCAiIuLgFAZEREQcnMKAiIiIg1MYEBERcXAKAyIiIg5OYUBERMTBKQyIiIg4OIUBERERB6cwICIi\n4uAUBkRERBycwoCIiIiDUxgQERFxcAoDIiIiDk5hQERExMEpDIiIiDg4hQEREREHpzAgIiLi4No9\nDGzfvp1Ro0axcePGFu9fu3Ytd911F/Hx8SQnJwNQV1fHnDlzSEhIIDExkdzc3PYsWUREpFNr1zBw\n7NgxVq5cyfDhw1u8v6amhmXLlvHaa6/xxhtvsGrVKk6ePMm6devw9fXl7bffZtasWSxdurQ9yxYR\nEenU2jUMBAUF8cILL+Dj49Pi/WlpaQwePBgfHx/c3d0ZPnw4qamppKSkMGnSJABGjx5Nampqe5Yt\nIiLSqbVrGPDw8MBsNp/z/pKSEgICAppuBwQEUFxc3Oy4k5MTJpMJi8XS5vWKiIg4Aue2+ouTk5Ob\n+vx/Mnv2bK655poL/jsMw7io4/8pKKjl1gcRERFprs3CQHx8PPHx8Rd1TnBwMCUlJU23i4qKGDZs\nGMHBwRQXFxMREUFdXR2GYeDq6traJYuIiDikDjW1cOjQoezbt4+Kigqqq6tJTU0lJiaGMWPGsGHD\nBgA2btxIXFycjSsVERHpPEzGhbS5t5JNmzaxYsUKsrOzCQgIICgoiFdffZXly5cTGxtLdHQ0GzZs\nYMWKFZhMJhITE5kyZQpWq5X58+eTk5ODq6srixcvplu3bu1VtoiISKfWrmFAREREOp4O1U0gIiIi\n7U9hQERExMG12WwCuXxPPfUUu3btor6+ngceeICvv/6ajIwM/Pz8AJg5cybjx4+3bZGXaNu2bTzy\nyCP0798fgCuvvJL77ruPuXPnYrVaCQoK4umnn7brWSPJycmsXbu26XZ6ejqDBg2ipqYGT09PAObN\nm8egQYNsVeIlyczM5MEHH2TGjBkkJiaSn5/f4nVbu3Ytq1atwsnJialTp1707CJbaen1Pf7449TX\n1+Ps7MzTTz9NUFAQUVFRzVZTfe211/7nOiodxX+/vqSkpBY/VzrL9Xv44YcpLy8H4OTJkwwbNowH\nHniAW2+9tem95+/vz/PPP2/Lsi/Yf38vDB48uHXef4Z0SCkpKcZ9991nGIZhlJWVGePGjTPmzZtn\nfP311zaurHVs3brVmD17drNjSUlJxieffGIYhmEsXbrUeOutt2xRWpvYtm2bsXDhQiMxMdE4dOiQ\nrcu5ZNXV1UZiYqIxf/5844033jAMo+XrVl1dbVx//fVGRUWFcfr0aePmm282ysvLbVn6BWnp9c2d\nO9dYv369YRiG8eabbxpLliwxDMMwRowYYbM6L1VLr6+lz5XOdP3+U1JSkpGWlmbk5uYad9xxhw0q\nvDwtfS+01vtP3QQdVGxsLM899xwAvr6+nD59GqvVauOq2ta2bdu49tprAZgwYQIpKSk2rqj1LFu2\njAcffNDWZVw2V1dXXn75ZYKDg5uOtXTdzrW0eEfX0utbsGABN9xwA9D4C/LkyZO2Ku+ytfT6WtKZ\nrt9PsrOzqaysZMiQITaorHW09L3QWu8/hYEOymw2NzUlr1mzhrFjx2I2m3nzzTe55557+N3vfkdZ\nWZmNq7w8WVlZzJo1i4SEBL7//ntOnz7d1C3QtWtXiouLbVxh69i7dy/dunUjKCgIgOeff55f/OIX\nPPHEE9TW1tq4uovj7OyMu7t7s2MtXbdzLS3e0bX0+jw9PTGbzVitVlavXs2tt94KgMViYc6cOUyb\nNo2VK1faotyL1tLrA876XOlM1+8nr7/+OomJiU23S0pKePjhh5k2bVqz7ryOrKXvhdZ6/2nMQAf3\n5ZdfsmbNGl599VXS09Px8/MjMjKS5cuX88ILL/DEE0/YusRL0qdPH377299y0003kZubyz333NOs\n5cPoRDNe16xZwx133AHAPffcw4ABA+jVqxcLFizgrbfeYubMmTausPWc67rZ+/W0Wq3MnTuXkSNH\nMmrUKADmzp3LlClTmtZEiYmJYfDgwTau9OLddtttZ32uREdHN3uMvV8/i8XCrl27WLhwIQB+fn48\n8sgjTJkyhcrKSuLj4xk5cuR5W0w6iv/8Xrj++uubjl/O+08tAx3Yd999x4svvsjLL7+Mj48Po0aN\nIjIyEoCJEyeSmZlp4wovXUhICJMnT8ZkMtGrVy8CAwM5depU0y/lwsJCu3ljns+2bduaPlwnTZpE\nr169APu/hj/x9PQ867q1tLS4PV/Pxx9/nN69e/Pb3/626VhCQgJeXl54enoycuRIu72WLX2udLbr\nt2PHjmbdA97e3tx11124uLgQEBDAoEGDyM7OtmGFF+6/vxda6/2nMNBBVVZW8tRTT/HSSy81jfKd\nPXs2ubm5QOMXw3CmRAAAA3xJREFUzE8j8e3R2rVrWbFiBQDFxcWUlpZy55138tlnnwHw+eefX9Sm\nVh1VYWEhXl5euLq6YhgGM2bMoKKiArD/a/iT0aNHn3XdzrW0uD1au3YtLi4uPPzww03HsrOzmTNn\nDoZhUF9fT2pqqt1ey5Y+VzrT9QPYt28fERERTbe3bt3KokWLAKipqeHgwYP07dvXVuVdsJa+F1rr\n/adugg7qk08+oby8nEcffbTp2J133smjjz6Kh4cHnp6eTf+Z7dHEiRN57LHH+Oqrr6irq2PhwoVE\nRkYyb9483n33XcLCwrj99tttXeZlKy4ubuq7M5lMTJ06lRkzZuDh4UFISAizZ8+2cYUXJz09nSVL\nlpCXl4ezszOfffYZzzzzDElJSc2um4uLC3PmzGHmzJmYTCYeeughfHw6/k6iLb2+0tJS3Nzc+OUv\nfwlAeHg4CxcuJDQ0lLvvvhsnJycmTpxoFwPTWnp9iYmJZ32uuLu7d5rr949//IPi4uKmFjmAmJgY\nPvzwQ372s59htVq5//77CQkJsWHlF6al74XFixczf/78y37/aTliERERB6duAhEREQenMCAiIuLg\nFAZEREQcnMKAiIiIg1MYEBERcXAKAyJyUY4fP87YsWNtXYaItCKFAREREQenRYdEpFU899xzTTtN\nhoaG8vTTT+Pi4sKaNWtYtWoVAQEBxMTEsGXLFt5++20bVysi/0ktAyJy2err6/Hw8GD16tW88847\nVFZWsnnzZqqqqnj66adZuXIlq1atIicnx9alikgLFAZE5LI5Ozvj5OTEz3/+cxITEzlw4ADl5eUc\nOXKEsLAwAgMDAZrtsCYiHYe6CUTksu3atYv333+f999/H09Pz6ZNfQzDwGQyNT3ObDbbqkQR+R/U\nMiAil620tJTu3bvj6elJXl4ee/bswWKx0LNnT3Jzczl16hQAX3zxhY0rFZGWqGVARC5aWVlZ0y5+\nAAMHDqSqqoqEhAT69+/P7NmzWbZsGXFxccyaNYuEhATCwsKIiorixIkTNqxcRFqiMCAiF6VHjx6k\np6ef93Hx8fEAdO3aldWrV+Pn58fKlSvtYt94EUejMCAibaqmpobp06fj4+ODs7MzixYtsnVJIvJf\nTIZhGLYuQkRERGxHAwhFREQcnMKAiIiIg1MYEBERcXAKAyIiIg5OYUBERMTBKQyIiIg4uP8PKYSG\nWCIKRNwAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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/R2YH+9XZXKgtaNG7CY4fP86ECRMA8PPzo7CwkJKSEv3xLVu20LFj7Q5Mrq6u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\niBicwoCIiIjBKQyIiIgYnMKAiIiIwf0f+pFsJL8eaMUAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 576x396 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "EefFJd6RdsxH",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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