Correlation.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Correlación lineal de Pearson"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Correlación Downstairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"motionsense-dataset/A_DeviceMotion_data/A_DeviceMotion_data/dws_1/sub_1.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>attitude.roll</th>\n",
       "      <th>attitude.pitch</th>\n",
       "      <th>attitude.yaw</th>\n",
       "      <th>gravity.x</th>\n",
       "      <th>gravity.y</th>\n",
       "      <th>gravity.z</th>\n",
       "      <th>rotationRate.x</th>\n",
       "      <th>rotationRate.y</th>\n",
       "      <th>rotationRate.z</th>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <th>userAcceleration.y</th>\n",
       "      <th>userAcceleration.z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>1.528132</td>\n",
       "      <td>-0.733896</td>\n",
       "      <td>0.696372</td>\n",
       "      <td>0.741895</td>\n",
       "      <td>0.669768</td>\n",
       "      <td>-0.031672</td>\n",
       "      <td>0.316738</td>\n",
       "      <td>0.778180</td>\n",
       "      <td>1.082764</td>\n",
       "      <td>0.294894</td>\n",
       "      <td>-0.184493</td>\n",
       "      <td>0.377542</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1.527992</td>\n",
       "      <td>-0.716987</td>\n",
       "      <td>0.677762</td>\n",
       "      <td>0.753099</td>\n",
       "      <td>0.657116</td>\n",
       "      <td>-0.032255</td>\n",
       "      <td>0.842032</td>\n",
       "      <td>0.424446</td>\n",
       "      <td>0.643574</td>\n",
       "      <td>0.219405</td>\n",
       "      <td>0.035846</td>\n",
       "      <td>0.114866</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>1.527765</td>\n",
       "      <td>-0.706999</td>\n",
       "      <td>0.670951</td>\n",
       "      <td>0.759611</td>\n",
       "      <td>0.649555</td>\n",
       "      <td>-0.032707</td>\n",
       "      <td>-0.138143</td>\n",
       "      <td>-0.040741</td>\n",
       "      <td>0.343563</td>\n",
       "      <td>0.010714</td>\n",
       "      <td>0.134701</td>\n",
       "      <td>-0.167808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>1.516768</td>\n",
       "      <td>-0.704678</td>\n",
       "      <td>0.675735</td>\n",
       "      <td>0.760709</td>\n",
       "      <td>0.647788</td>\n",
       "      <td>-0.041140</td>\n",
       "      <td>-0.025005</td>\n",
       "      <td>-1.048717</td>\n",
       "      <td>0.035860</td>\n",
       "      <td>-0.008389</td>\n",
       "      <td>0.136788</td>\n",
       "      <td>0.094958</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>1.493941</td>\n",
       "      <td>-0.703918</td>\n",
       "      <td>0.672994</td>\n",
       "      <td>0.760062</td>\n",
       "      <td>0.647210</td>\n",
       "      <td>-0.058530</td>\n",
       "      <td>0.114253</td>\n",
       "      <td>-0.912890</td>\n",
       "      <td>0.047341</td>\n",
       "      <td>0.199441</td>\n",
       "      <td>0.353996</td>\n",
       "      <td>-0.044299</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Unnamed: 0  attitude.roll  attitude.pitch  attitude.yaw  gravity.x  \\\n",
       "0           0       1.528132       -0.733896      0.696372   0.741895   \n",
       "1           1       1.527992       -0.716987      0.677762   0.753099   \n",
       "2           2       1.527765       -0.706999      0.670951   0.759611   \n",
       "3           3       1.516768       -0.704678      0.675735   0.760709   \n",
       "4           4       1.493941       -0.703918      0.672994   0.760062   \n",
       "\n",
       "   gravity.y  gravity.z  rotationRate.x  rotationRate.y  rotationRate.z  \\\n",
       "0   0.669768  -0.031672        0.316738        0.778180        1.082764   \n",
       "1   0.657116  -0.032255        0.842032        0.424446        0.643574   \n",
       "2   0.649555  -0.032707       -0.138143       -0.040741        0.343563   \n",
       "3   0.647788  -0.041140       -0.025005       -1.048717        0.035860   \n",
       "4   0.647210  -0.058530        0.114253       -0.912890        0.047341   \n",
       "\n",
       "   userAcceleration.x  userAcceleration.y  userAcceleration.z  \n",
       "0            0.294894           -0.184493            0.377542  \n",
       "1            0.219405            0.035846            0.114866  \n",
       "2            0.010714            0.134701           -0.167808  \n",
       "3           -0.008389            0.136788            0.094958  \n",
       "4            0.199441            0.353996           -0.044299  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "    .dataframe tbody tr th:only-of-type {\n",
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       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>attitude.roll</th>\n",
       "      <th>attitude.pitch</th>\n",
       "      <th>attitude.yaw</th>\n",
       "      <th>gravity.x</th>\n",
       "      <th>gravity.y</th>\n",
       "      <th>gravity.z</th>\n",
       "      <th>rotationRate.x</th>\n",
       "      <th>rotationRate.y</th>\n",
       "      <th>rotationRate.z</th>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <th>userAcceleration.y</th>\n",
       "      <th>userAcceleration.z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.528132</td>\n",
       "      <td>-0.733896</td>\n",
       "      <td>0.696372</td>\n",
       "      <td>0.741895</td>\n",
       "      <td>0.669768</td>\n",
       "      <td>-0.031672</td>\n",
       "      <td>0.316738</td>\n",
       "      <td>0.778180</td>\n",
       "      <td>1.082764</td>\n",
       "      <td>0.294894</td>\n",
       "      <td>-0.184493</td>\n",
       "      <td>0.377542</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.527992</td>\n",
       "      <td>-0.716987</td>\n",
       "      <td>0.677762</td>\n",
       "      <td>0.753099</td>\n",
       "      <td>0.657116</td>\n",
       "      <td>-0.032255</td>\n",
       "      <td>0.842032</td>\n",
       "      <td>0.424446</td>\n",
       "      <td>0.643574</td>\n",
       "      <td>0.219405</td>\n",
       "      <td>0.035846</td>\n",
       "      <td>0.114866</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.527765</td>\n",
       "      <td>-0.706999</td>\n",
       "      <td>0.670951</td>\n",
       "      <td>0.759611</td>\n",
       "      <td>0.649555</td>\n",
       "      <td>-0.032707</td>\n",
       "      <td>-0.138143</td>\n",
       "      <td>-0.040741</td>\n",
       "      <td>0.343563</td>\n",
       "      <td>0.010714</td>\n",
       "      <td>0.134701</td>\n",
       "      <td>-0.167808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.516768</td>\n",
       "      <td>-0.704678</td>\n",
       "      <td>0.675735</td>\n",
       "      <td>0.760709</td>\n",
       "      <td>0.647788</td>\n",
       "      <td>-0.041140</td>\n",
       "      <td>-0.025005</td>\n",
       "      <td>-1.048717</td>\n",
       "      <td>0.035860</td>\n",
       "      <td>-0.008389</td>\n",
       "      <td>0.136788</td>\n",
       "      <td>0.094958</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.493941</td>\n",
       "      <td>-0.703918</td>\n",
       "      <td>0.672994</td>\n",
       "      <td>0.760062</td>\n",
       "      <td>0.647210</td>\n",
       "      <td>-0.058530</td>\n",
       "      <td>0.114253</td>\n",
       "      <td>-0.912890</td>\n",
       "      <td>0.047341</td>\n",
       "      <td>0.199441</td>\n",
       "      <td>0.353996</td>\n",
       "      <td>-0.044299</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   attitude.roll  attitude.pitch  attitude.yaw  gravity.x  gravity.y  \\\n",
       "0       1.528132       -0.733896      0.696372   0.741895   0.669768   \n",
       "1       1.527992       -0.716987      0.677762   0.753099   0.657116   \n",
       "2       1.527765       -0.706999      0.670951   0.759611   0.649555   \n",
       "3       1.516768       -0.704678      0.675735   0.760709   0.647788   \n",
       "4       1.493941       -0.703918      0.672994   0.760062   0.647210   \n",
       "\n",
       "   gravity.z  rotationRate.x  rotationRate.y  rotationRate.z  \\\n",
       "0  -0.031672        0.316738        0.778180        1.082764   \n",
       "1  -0.032255        0.842032        0.424446        0.643574   \n",
       "2  -0.032707       -0.138143       -0.040741        0.343563   \n",
       "3  -0.041140       -0.025005       -1.048717        0.035860   \n",
       "4  -0.058530        0.114253       -0.912890        0.047341   \n",
       "\n",
       "   userAcceleration.x  userAcceleration.y  userAcceleration.z  \n",
       "0            0.294894           -0.184493            0.377542  \n",
       "1            0.219405            0.035846            0.114866  \n",
       "2            0.010714            0.134701           -0.167808  \n",
       "3           -0.008389            0.136788            0.094958  \n",
       "4            0.199441            0.353996           -0.044299  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "del df['Unnamed: 0']\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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8Pui+Nfvc0ZXo94TDJxq0LXsMpE1nyLmX7YRQrlMtc6camAO9w1eNlmCLo91VW45Kry7NDdYN2pJPzjkMonNI701G2z96Km1bTIqHokf4O2ah0UaBwpiew9+i/eLbb49+l+8NXxXnaFBy+PR5afIIf1I1GO0gIOodvmLUjmy3lQYe+4DeQEX4kwgduqGRcxiPtpSNRCq0xNX2T0vdqaJBPnxqjPffdWRD19Fb3lanfNLOO5beNmfv+4mvxBdcsSe5n2vM4ecSrzzCb2nSQcfKa9omPu6U9Q5fMZrFuwKWF6KRhGxPDuF7lU4orZAL+hGCX5nEjVQIYWrfo8lBa77y4ld/BC/5/Y/1iHSLxlUjpekpna0Yry47LA3KIu1URe/MAuPwUyln6/AJ4RcmCf6STaq6R/hn28jR77YG0BGlowy4sDwt0AL8PMI/5RC+7I1732OrAPTAbNXRQP3e9nuTTAZibxszz+GPXLZ0P4GeuXHHPSwLVU7J35mcSocmXXL4ruOVAojqBo3duW5XQO/wVaPU6N22HB5XNYalcc2Wlclsjcky18u0JYcvB/dDJ9YAAFdduph8h5a6XU6d6DQAOLYyxTUve7uqBOpNN8/ht5zy2ZBlWmvxtk89HD273WCcmpkbuAqyXRz+MKPSURF+R2mTPmh7jmy39XOlwkw5hBFROh21dOrG+sC23M/psXvptQJSNJFOFIRPxhtw33/Mof4f+ZOb8hfVW2ScUy46Eny2Yj//1lvxE2/6lP/9lodO4YffcBN+5i9u2fZjnUubVeHe7V8YOoQvHT5z0oP1VDqE8Iuis5ZVT+mcI9uNCN8tPXWEQWhlbtDd4nB5XIH+LB37qbHTHJPj57YyqdrzYAlgdYMXvepD/ndOEc23SKenoTdu41mNwoRnuBNj+DUfvhdv/sSD/vfjq06x9ZYbH1ID8heqTeowFo0xKItUTknXO1cGlU4O4VNuS5F5Ln5ffdD23Nhu4/DHsxpzgzKb6TeuaozapWsXwj89mfmf5X4ePemoHq18wnI7CXAO//o7DuOm+0/434mSOHx6HPUS7W1jRs2yyUHl8ii205YnYXJ/162P7PwBz5KR4/6Vb3sWAF1OSU56xHX4OVlmGTh8ndJxY79H+OfIdptKx9W6L1puV5NlNphvA0akldcoAf6C86XpJ+47hveyRKw7Hzntf37Hpw/h4XYy4A6faBsyonRufXh3Jb2dLVubhUYbRbH90mINwZ8eBwCwm4LudK3DQd5Rc4dfFgbGKJQOBW1NN4c/7Tn8c2v3Pray/kYXkE2oX22Ww6+x0Fb066J0iJoZiozB24STvudIQPm//f7PhvNgTiGRdc7cvmVCV28bs0kVUvN3gtI5sRrqJ5FskdN3u4nSIbpyVLbvhOKop3WNkq2Ih4p0M+XwM4Cr5/DPjR1YdJUGHxDo80K3SdU2W+7g8KlSHw1ObWKgF/zA4ihaBS0JJ80dARWOouOQSWUHIfxcg4jeum3KyusWHQk+D51Yw/f+3t/j5gdPqJ/njK/uyLHx53wmLRXrxkarwfPFPMIvQ4asfB9mtfWfA9S+sDtoWxYGjU0lz0Tp9Bz+WTZyNkeXN1cN8ny39Th8mhCAMDg1HTe99AcWhlHQlnwLTZin2FJ/flTi8y5fwrOv2h913uIOBAgcfo4aWJlU+PBnj3Zf6EVs3OGXHaUV/uwTD+KDdx/F73/wc5va/w33Hfc/UykOKg4GwCtVNmO//u478c9f8YGkbs25NlKV+fupIXxRCmFQmGymbcEybYFU8uxlmb0O/+waIZeVye7SFY9nTadKZ8JqcXtKR+PwW0R3yeIoQjz0grzp3z3f749/Z8/cAEtzgwjVr7ZBRjJS6fD+u9x+6R2347t/9+/xmUfPP0R4PhhvkddVWuGm+53j1moeddl/fvPN/udxOzkfOrnm/0bjZjNGJTXuO88o1KmgWDQO3zUsCeN3qPSrlUHbXPvQSRVPMDthvcMXZq31jotrws8nW55UeOcth6LU742Yq7Wd5/B5Le5iIwh/cRitFAjZ7G8RPv9sZeIc/p65QUQBrEwqPG5foHvonvNVADdyUH0TFd044ixMXod/qA2gH13enMPnRs/o1Fp4nhabjxkQ8uUrhfPBZgLha3LKWd1gtB6lI4K2g4zDn/YI/+wbd4Qr52nm4G9dfzf+/etuxIc/+9imvhcjfF2lwxUCuSJP5PD3C0qHBqyrpx+rFZYnFZbmBtgzP4honJVphcv2zOHtP/LlAILDlwifjkN00X94/Y041tGA5WOfO4a/WUcieHJ1phZ5u5AtonQ6ED5lSmv5Ehs1onRmdYOnXr4EIF9Ou8toUjrVcS7HV6b41Xfd0fnMt9tozJHcUstc5vfbbZPSpSmHTwlaPaVzVuzo8iTLbXIHtnaeIvwHjrtg8mbR2aSqfRZtjsPn7dW0VHLA0TOLoxKjQaFSOqPSZR1ytcLypMLeuQH2zgmHP3G9Pr/oCfuxNCqZVl/WHQ81S8h+4913Za/1xa/+CF76R5/Ifl43Fs/+hb/By97y6ew256OdXJvhx9/4SZxc1dHwpA4UgwvaptuMZzWOt9/fbDmEL7hiT7QfwD13UnedSbE2euW4vFPaG294AK9832fxlhsfzG6z3TatJIdf6Bw+c9CjQZ7S4Sod/neyiU987IO222aPLU9w3S++B69472fUz7msTCsPcD4YFUHjA+a/vOXTkfRRs/HMSfZyNVZke7Vc0G+5pWeGZREhZEpFH5ZOCcQ/W55U2DPfIvxx5ekoonoAYN/C0L/0EuHTBMBP5/ZD62v1c7QXlYbgGaMXgr3x4/fjLTc9hFe9/271c07plEan5AjdX753btO0ZdVYXNKusuiZTKvGx2HqM3hn1tpJZ5Kh8QD33gJnV+c/FQ17ykKhYWqJ8PMqnYKpdIBUr0+AqUf422i3H3LBvjd+/H718ymnKM5Th0/ntcJe1jd87H68/K/v6PzeuE3KGZQpUgFiDTeAbKYmOW85cczqxmuSB2VA/9ZarBClMzdE1Vj/4q5Oa99oZu/8wCt75MtPaJI7cK4Y4ca3yT3Dh1mg8UIySqrivDm3KZu0c5QOrQyvObiIqrGb0s7XjcWeefe8YoTv/nYmuYrE3Xc5c1otSlXXTprk1EulBs6sbqIObnJlCygNULIIvw/abrt95rBz+PMZrSs9LGPO3yQSWvqtbmLwW2vbTNuyM9M2onRMPtN2z9zAOfU6dq6kSR6WJqqOOautC9q2zoIcu9uXO+a++aHnlMcJwne/bySRiNfjGU8zwd82aLk02rnl804YOQtkgqOz2sZBRuX5nWjpnCccWACwOVqnqi32zTuETyo2h/C7G+bkrGmsd/hd79tppSzHenb49Bg/+PobO6miLtM4fPk+yA5VMhkRCDRXYQTCr9PJgx9vJ+yicfhHTk/w9J99J/7m1kc7tyMN/p7R4LytlknL8M1MSDwg1JX4EQVtM2WUSWI5LI1vTE7nE16OMBkQKtvTcvi0D3ctFRbndIS/OCrxu993HYBAH2yk3AWPvazOdGdGqyNzBjLCc2l0/TmqPKJ0MgifHOyV+8nhb9yJVk2Dy9okuhPtfmZ14wHUZssxn56EQnw5KS4Q+P2cekuzX3vXXXj7pw/hbZ86tKlzIks5/JSuSYO2aXyMmp0MBIcvJw+6d4Ny58bkRePwP3T3UazNanzkHqdsyUX7aZZdnCvPW4RPg38zMYYJK33clfjBKR0nQ4v38z/f8xnccN9xh/CLAtYG1D2rw/cHbDJYYQ6f+PrlSYVpi/wJZe9lCN8lgZU+SEuIf7KBa16LMnl1J0LbnMs2lo8tTzYdJ1rPOW9Ehx8c/ny7T31SnFR18g5UtQ0Ov10p1E1ApfJ+roeu+eS8EYTfVVqb23tuexRvvOEBAMDS3Jmt4gLiztfAcbJMSel0N0DJZbHLVog7YReNw9fqtmsDjJDw0tzgvOPw3/HpQ3j4xJpXWEw3sQLxaduDwsvCtMQPTumURboK+I333NUeu/FIhAY4R/hDRvfQy0pBW8AhfJoIqCTDaFD4FZbLCi48cqSlvOT2teQ4vuzPOVQKFAaK5Oza2rTGl/7ie/Df/+q2TX2Prvf9dx3B229OkauUZWoTGjnqx3uHnzrRurH4op97F77gZ/4ah9v+xYC7n3vnB5gbFDix5kCTtaG8AB9TP/bGT+KZP/83uOHeY9nr4ZNzF4dPFVol1Zezt7KmORQj2qw9tjLFsDQ+IK3JlCXCHyo5LnVjYUxYTQ4y759U8+yEbYvDN8Z8rTHmTmPM3caYlymfzxlj3th+/vfGmGu247ibMY1bPL6aonyP8EfleaXSqRuLH3j9jfiWV37I0x6bOb+xgvD596u6Qd3YRKWTk9kdX5km8jIewOJxAg3hn55UWG1f9sUW4Q/Lwk9itNqYH5DDbycVcc0fujsts7A25delnz9tc64c/j1HXeLYX9z00Ka+R7khh06O8YN/fGPyuSytkEP4e+cG2NtOvrKAHQB87uiyd1zvYBNL3ViUhcGBxSFOrLhx2FirOrE/b6/tb+/MN6fnk3OXpDMg/I2N+UUWm+miirrss4eX8eSDS75chF48TdPhpyod3vIzx+E3Np4YdsK27PCNMSWAVwL4OgDPAPBdxphniM2+H8Bxa+3nA/gNAL+81eNu1gp2w5/9pAMA9KQT4u0XhwNYhec+W/bg8dUIwdGLcfj0xPO35LA3knFLg35+WHhkzgev1l6tLGNZJj/OXKv2AcLqiQcMuVqBc/gU8FseV57bpBXHiAW8KCvYUzqkCBEv76eU4l8cNeY45bVNBIF3wiiGsdnjryrOmYyyxH2mbYbSObU2w76FoUe+GqVz5yMhkzkqmNZYDEqDvfND//fGwquzaEzy43bRZvxZ5Rp7A+Fd3ajOnyYzwFVqPROn/9CJNTzpkgX/e6nImWdK0DZR6VjrA7a0H0BH+DtJ5wDbg/C/DMDd1tp7rLVTAH8C4JvFNt8M4LXtz28G8NXmLEfLeGbpl159CQBd4kUDdn4LiSTbYT/8hpvwg398o9dMa+oEOlc+CP/f13wcf/rxB5JtCSHPDQLCrzSHzykdUR1wyjjNX/uOZ4f9MDVOhPDbvy8z6sZTOpPKOwJ6X4ZloHQISSaUTiUpnfS+RE4kU70xTCCbW8VNq+aMVR/cyIFpxcYOnx7jy3/5etzxSJpnsNyhqEmKfWVKK5xYm2H/wtDHTjRKh+gaIFBAQECr88MiioNQ2QGqi8OD/V2qk/F0/cnZWuvv+UYnSP5cb3no1Kaz0ulYIyFTliBwWjcYSoQvVTp1jPDD+5euBHZ6xbkdDv+JALiHebD9m7qNtbYCcBLAQbkjY8xLjTE3GGNuOHIkvww8E+OD6flPdYfW+F96aUhmdi6aoNSN9V2gHmnlg2uKw5+2iU78HK+/4zD+85/dnEwQY4bwNQ7fd9vhQVvBWZKz/cmv/UI86dLFZKXA64rwvrnk8PfOD3wA7fR45p0RoZ/hIKwKaPDP+aBtiBOQzQ8LFZ3yQGBOaUXbTOtmUzWJ/tUffAzP/Pm/2fD2TWPx8IlU80+c9FBRZHzgrqN48PgafvP6NLlKSnEj55PoxnWEvzp1KqsF7/Djfd50/3Fcf/thvy967tba1uEXWBiWLDfCSXiB0LiGH7dLV845+dzkTLJeYOPvoxQg0Hu0GaubGJlrYoekWmapqHSsjRgGX4nWKgj/AnD422bW2t+x1l5nrb3u8ssv39Z984dA6gQN4dNLs+BlZmefx+cKoi79MSH8mXKOsuyCptKJEP4sdhZAmmnre96yIJY7PnP47feHXJY5DpTO3MCVZOByPFrsOQ7fOeDaugmHEP5EQfgHFkZR8pk8T6CDw2fOajO0CiHFezdYyve/ve1W/MOXX4+v/59xu0Z6rl3od6C8/HJFw+s9SRlh0cpvpVHnM9pOrnJe9KoP4713HPZcPYEBGi/D0j2XCOGLc+UT7es/el/2GimWsjgqswifv6cbfVaTqsH+haH/fb3Kt39z6yP4P6JUdCOoGK3KJdFZZK5aZjdyDyvjdGK4ECidhwA8if1+Vfs3dRtjzADAfgCbX2Ntwcg5/vTXPz1IA1UOv3X4RM/5Lh4AACAASURBVOmcA46X1wWnpeyaSCB6/L754PAVWuL4Skw7RA3KaeCyAadSOgIh+kmDeHpaKbT7iXT4ZRy0NSYE0vbMDdpG6ITw3f5HXvVjYa1FacCCtikFs2d+oAbxYg4/o9KZrb8K6LKv/B9/u6GVAZVuuO3QqWgiCpRO+oIfW3GTtdb16+hKPJFzZ8hrGQGutILe6MapsebaTk45dcyeuQHmh6X/vGIxl/lh6VdJFGz8iX/2Be35T6PjPnxyjM8e0aub0j3ZMzfIvmvcWW8UgE2qOuLx+TX+8jvvSJz7S//oE/jvf3Vb0t+hUBy1jE/wuU7V4WeCtvJ6myadOLfbtsPhfxzAtcaYpxhjRgD+BYC3im3eCuAl7c/fDuB6u9navls0Qg/f8w+u9jyyVg3TO/zhIPre2bKHTqzhxa/+iP+dHAN3UHvmBrh0aaRy+GSnBM9MA96VViBk3rDPw4RAJh1+KGDWIny2H2stbrjvuA8o86DtyrTGYttYm44xrZrA4fsMxEA10XJ6WBoUJq7bQjY/LFQaYCMIf6PqkC67ZwMon3cBO8xqzxON8sCxtWS1QI13tOX9YVG/noMWDeHnmmVHCD+j9to7P8CoLPx+ydkOS+MktO33Gutouec+2cXGbn34ZKJUyRUiXNuAwz8ThD8VEmM611seOon//befzcphj7PVtXTmWpXLhPZRSivIlQK9N4l801p1VbedtmWH33LyPwTgXQBuB/Cn1tpbjTG/YIz5pnaz/wPgoDHmbgA/DiCRbu600QAcFEWU/CONCoAtjHSt7E7bXaLVGzlu7vCXJxVGgyBh1OSZCYdPznpQqghDVekIDp9LO4FYT/yJtq4NJbYNmSxTLmmHbXIK+WqaCGiTpuWKi8LAmJg+4GqLUZnWNpH3KqvSYQ6oSx3C7TFBk33m0YBa33fnYfz5TWkhNo7S+STMJ66f+vO4YmeOxqvqBsuTCi94+uP83zhyTTJDM0Fb16y+zFI6ZIM2hpIifINhEdQotnWMVx1YBOAko/K+556DR/jzXQg/xJ82CsBmtcVwUOBbn/vE6Bq/4Tc/2Pm9x5jDT9Q17Y/8POUqYKSUVqhE0Jb2qal0dhrhb0unaGvtOwC8Q/zt59jPYwDfsR3HOlOjwemCZE5CplE6IWh7ZqniWzWpmPAIX/x9xBQtGoqVQd6x75dZeEfNvzdhKh4y2fCBB36BgEBndZMMVB68Sh2+wayxCaXjJyJrI233PAsQcucka/n485xujtLZKML/RuEseJzkX//BxwEAL3rOVdE2exmPnHP4kscnCmNN0FUEUP7hUy/D9zzvyfjXr/l4NNlLWi4XtCWET1JKfi584V01ViB899mgLPykDQSETwH5tWmdPJdcNi+ndHJZxHQ/9i8MNwzAZnWDYWHw6y/+Erzzlkc61Vh8nzx+1jSIHb6XIYd9JZQOey/9/kWMY5Cph3+hyDLPK2sai//2tluT/phV06BokxqMMdgzN9BVOlWMYjeK/taz//8dt+Of/o+/xTtv6W7KsdyqN77/y5+CURnQ1RqrCfOCpz8Ow0HQPNP/X/OMK/CGf/sP3Pbi5Qn8e6lykdNap3SaCOELSofth3jjn/r6L2w/CxU5a6sgfEbpFB7hhy5bPBi2OCrVXre5InBrmwjaAhvnhR8WSo8TSuJewlSy33neB8+S5jX+geAc5TOk7++dH/hJYqbEYeKgrY7w6Tlzhw5ISauN6inR/4PCRIoqx+EbH/caz+rknmryWToeyW9zzvw0c/gbR/ghnsTpJ253tW0y33/XYf83jvCtws8DAL80ja7R6uHz8Z/X4e98IuCuc/j3HVvF6z56H37mL+JlclXbCEntmRtgWRmEIdOWOPztUem8+gP34HNHV/DvXxeacoxnNd78iQcjvpNe6h/56mtbSVxbGbN9+X/+G5+Bn/+mL4oQFr143/bcq/D5j9vj982NI/zSc4gMHRLCF5SOtgqgQCrnIsmxfN5le/x3aUA3guekF5DGewt4oheB0tEBYGk0wMq0QtPY6IUfbIHS4auAzT7i61quWivkJfnwSdXg6VfuA+ASnvx2zMlyNQkQkLxMKqMVwt75oXfqMcKPJ+1cpu24bYQDoKUGwz6iJKuWiqB98B6vwzbJylrrZZk0LtZmdTLR5FQya1NXS19LapLf3RzCt14fPyoLNU7xU23zG/4s+Ko/lzAVI/w4M3ak1dKRKh0l8dHty/p3Yads1zn8p1y2hK/94ivx4PFY+zyrbaSXlQM9bBdkYsCZc/iUMKUZvZhv/eTD+Ik3fQqv+fC9/rPTXMI4DOiL0N6LnnsVrrpkMSpDEAXTSgrExec9ZrJLDeHThMDvkeSAJaXDqSGtqw+9wDqHb1OELygd+s7SXImVSR09r8v3zqmKCHevGj9Z5FoYrs1qfx0bmdQ5cv/u512NxRHXoYfPZCbstGpw2Z4RgLiFH7+WP70h5v5pcj9yeoLDbBzR2Ni3MPD6/ah/g1LdUeOJZ3UooTEaxAifn3/VNJEj5jEcAhx06YUxKAoXzHUOPzos/uMbPxnV5CGjycdNTvpzWIkQ/sZmZ54TMmQr5ahjVzue+XN5+MSavx+NReSAS8G9W0FJAkgKCtL25ToTh/s90Jg7ZbvO4QPAwaURji3Hy+0ZK/YF6J1pgOAo6YU4Ew7/E/cdw/N+6b34y0/qdVJo8B1rKYHDpwMXvDypsDRyiIdTOuQEaCLiSIJzt8NBWifHbeOKkRlj1Gp9ExGQBTSVTswRD9hKwTvvIjhvj/BtzIUOSxMlPPk64Z7SiV+SxdEAq9PKn+PPfcMz8LGf+ups567xrPZlmLtKK1BAdSM+hHbzZU+5FC96zhNdXKF1GDwX4OaHTkbfm1ShnPDJCOHXeNoVe9VjcTTMxwZ16bpkcRQoHS1oGzUxj/c9FTy/RL+cR3/ywaUI4fM2k8OBi5/IOMzcoMBk1qhU0sc/lzasGU/dxFuW+f67tOrYNz/cMMU6qxvvPOfYpGYQxuHBJfdc+IT9W++7G//2D2/wf9fUNXxcA2JsK+9fToevyjJ3ltHZnQ5/77yjAOIAVBOlsWvyKSCUO6VtzwThf/aIix984K60sBcQXrqgHApP+WRb5wRwCU7c4Y/aYBkQNxgh9L8w4gFZ4fAZb6sGbavU4cueqLKvLE8gocORk+b8ulyqUmtE+cLQ42msbdFVyNqtG4tJHbKBjTFtYFjn8Pe2NXu0z5vGYjxrvMPfSNCWxsFXXHuZUw4NCj8BchrgJ998c/S9SeX6ve6bH+Ak4/wd5WDwjc9+Ap5y2VL0Hc53/2/WtvLj9x7DoDC45uASo3S0Z5jmQpDJZzgnEX4bP/ie512N3/u+61yXp/YY77vzcPvdEsPCTdoyeY6ahGiTKMWJuK3Naiy0yYBdOvz5YYG5M1DpADGHX1uLr/vixwMArtjnHL4cIlQeQgIVyb3LyQ5wCYfu+HFglzt82qcatO05/M3b4miAxkrJml23M43bznVt0rJRN378OGVdBpDpBaP/+UR05PQEl+91A9EF1NxLsjatfFDMnX9QA6yxYOqQJS9xmzDeVltSajr8QbFOpi2bFEPfTvhj+KCtWNK6Tkys12f7kWFLZo52Bq0EkK6JniMPDHNbm4akG713r7tu0sjnqARucgXDlUO8ts4jgsqbVG6ivmRp5BuGACElf9/8IOL2AZcfQrz/228+5OWgR05PcM1lS1gYlX7i5040IPy2ibkxieOVSp6E0iHq8DlP9LQZ3eNXvOcz7bUXSdZpmLRjuo6bpoobz2osjLo5/OWJW43lVEeazaLua+Eam9apftET9uGhtuRFrrhbLRB3KRw1fc+I1SsQg6lqgxy+jBnshO1Kh0/yMJmhl1I6OsIf8mzUbH2PGt/6qg/hle9L651Yj3rc/y9tl4hkNPhubzX33BkePj3B5S0FwDXQrvcrc/hMh+8RfpvcpKlXxrPQlUgOyodOrPlkH9kARSuwJhG+C8Da6FoiDj+RpTm+VjpRT+lYGyl76EWnyYfHCbSyEuOq2+HzZB8gRXiaeUlie+wRQ/gn1/LF1KiMwYGFYVSEjMoY718Y4rGVKT71gAvQUv/fg0sjvy05JtcUJqzwgJA3Qp/TuQFt0+2kyU08sctYFoEUEi2UCjDavzDyz4ruP5+c66aB5kM1kcTarPbKsS6Ev9Q23NmMSoeAAb9GGlfPuuoAbnnI1f3J5YDKkhEJwm9vi0y8ouOTbVSl0zR2R7tdAbvU4Yeyr3EjjLTZsB60HZZFRFdodseh07jx/hP41XfdmXxGDp0GwhNZiVUgBNpuawtNcZR25PQYj2uXmrTcruoGb/rEgzjEZIGcw6c+vcRJDpQSrdRQBECSYfmPXn49fucD92BQmGi1IRugjGc1jGEImyEVGbQtGfpuJMIvXCctHvDj3w0InygdJw2Uq4hBaVROd20a+HmN0iGn5rfZAMKXSNaVHHDPjRzy855yaaS4sdb6jM/9iwLh1w1Gg9LTd9/8yg8BcE67scAlzOHzRKx5hsxpP36fG1DpyOQ5KcuUsSLNEV+6NPKOkN6P8KzcRG/bnrtPu2IvfvirPr89P41+azA/KtUG4WQrkwpLo80i/OA8Xc5KQOWlMbjqkgWcXJthUtWZ8hN1qz7q4vBpzIfv0bvBpZlyhZtrgFL1OvwzMyr7yksnkMSMjHPg3BwSLrKzMNmR0xP1701jfXML2sfVly5G20wrF7CkxB1eD4YahAPupZ5UjW8Uwo2f//K4wv6FIfYvOucxLNLJ7LGVKQ60n3slj3gBObqn85fVMucHZcTXAm5w1wKtD0pB6XCE0xZlkxwofbcRKh1yOlLVUxZFonkG3Mu6hzj8zOcAfImNDQVtxYQ2Pyz8fm556CTKwuDpV+6LMoHJGc8NCOEHDt9ROsb3ByCj1doXPj4EdCloOZ7VkaMGYiQpyyP7+xmt0hSEz8YBBaAX5wL9R/eQ3qtLl0aMh26DoRHCt57bf9nXfSH+0z97WlQrn9tkVmNhWHQifHoncnkXms1497VB4VtjNg18Hg7gJlPtsKfaaq6c0pHcuxyPACs3Uq2P8OXY1IrQbbftSodPTbF58Ov0eJZ2plH5Xdd4I1fvguxwxuH/6Bs/iVe+zwXa/LJX0eVOqsYvwXmsoWlCzY65QRn1FaXiVAAiHb6swTFQJrNHT41902q6D7IpxBwL2ALEAccIfz7S6RNSCYqbkqF1/mLEGYsmQuw0gQTZW8xnli2Hn5RTzig71lonUphMFvI05vClE3nV396ND9wVl+eWfUl5UTHqy7tvYYjxLNwL3jj+wKKgdNrKovsWQrI7zzPYNz/A+37iKwEEapLAiLv21OEvj12ROsoS9/dTKXFN+RaS0lkTlA53xFfsn8cLn3Vlex/c9hLhU+5G4LfRnq/u8CloqzUIJ1uZVliaKzeH8BtG6bBVjHO+oUEKL+LHbTJr0jo57Xin7WXA2l1nKvXNq3RSv9Aj/DOwJRE0ven+4/joPcdw84NBMkdacGkB4XerdDjC5xzg21gvTRoIshphY22UZs8dr+MY3c9E6dD3Sd7Hz59qlEcceZkGMyumvaaAnUT48wLhS9kjR5j0Oe2b3tWCof9OhG8DpRNooHB/eFr7sKWHUlWP7kRWJjX2zA3XTcwi6aZ84X/lnXfi+37/Y7jzkdN44Niq20ZQOiQ/5Nc3J2gWXp9+/8IQp8YzP1aIOuTF1SZVHNcg507Pf9yCEYA7/HDuJ9dm2Dc/jKSxdH7+2lm8B0gpHQJJftJgwMjaMIkUAswEDt/Rb1Jyy7Xw3NamrQ6/0Es50zkteYQfb7Q8qXDNy96OP/zIvdHfZyzRck6odMpCInw9sC/r5MjWhJoO3+dHsNiKzDTvamLeI/wzMEInNHi1bjfDjKTPI/x1VDqcLtIyLgGwlztduvE0+4lc/pkQGJxUTXAcDF1zWV5SflXhbnkeQkD4TbRdgvAFolpjgV8gzrTNqXQsSSy52qFdmktKh6t0CIkBtCLgcQL396EysdWNdRTA/MAHEKWRw/cInz0fvqL556/4AP7xr7zP7VcgfF73nF7o0J0rXrmN2mbs1oa/0XN+/ucdxBMPLLTfC3xyaUxAi5RvMWv8GCDHwsfOybaTFdlQWaXK8hiS0uGIG0gnbnpWoY6STuXJyVnLQKXzoR4NObqGKJ2yTWriz+iRky5+8ur33+P/RuNn4FU6oV4QaetJtnt6MvNg5c/+w/Px4utcLaRJVSvVMiWHH1+jO5ZSbycXtF2njPJO2K50+FKloxVuyqG/lMPXByEvXaApRQB43nBWNXjaFXvxuu9/HgA3UCKHPwuSMSBWrdSNTeR2AFNp1A2qJk0B79L4ciTKX0LZfUlm2vIcASAuAtUIh8izEjW1Q9OkLwxX6XAaSKp6jKAPuNFEvG9+4KkgaYRyNR3+6UwJAO6IgZhSowAz3Vdq1sKTnOYGMVqn2ufzwxI/1AY1xyyAWBTGa7pDY/ewwvJqrDrv8LVYzZri8PmksTypIjUYp1r4c5TSXh7XqRrLVkTwx8nFzEiWmVtNj6dOuqnRrMdXU4VUyDxP4xRE0xClwxH+Fz9xP77+mY6ymlRNvhetp3RShK+pdGQwVqPa6Pdeh38GJpsza7wY1QKRNmYyMWD9sq5AXsnj9fZ1g+HAhPK/jY2021wyxs/XOUbm8BnlwjlcDUHI5us8bZs7As7fSg2wfAmlQ+E9baVDLAX6lwOeK3voo0ilI5xLVdtAAXmqJ0WFvLtWLhAog7Ya5SFNLR0hqoH67lw+NhMCpLJzF1/1hKxZNnG2iWVAQPjjtqwxGW8jCYRetWTDQep8CFxQTsec4PBPrIbgPl2nVhOJHHzg8OHvj+Pw2x2wa0yaezeu6Tq9b9l2lGLVwZ85PS/+bkj1VxTvap8VTWpr0zqi62g/qkpHgMAuHT6/FklpFoXzBXqmbe/wN22h3n06GMi03pNA0E2vp9LhNI42cdC+6PNhWfiBwRH+pUsjr+Pm6A4ISJ1WEFyjGxJvGtQ2ztbVuM6qbvw2ReHQ4ZTRRUA8cOn4EcJfncYOv4wdND93nj4uucmiPT/J83KVDp8khu1qLKWNCjRiiU+Klj3zg3U5/KDDTykPspCNKSgdwQtzhO8brs9iSsd9FtNA/F7xQHZZMEqnCQif03pSjbU6qf3qFlgH4VMrSkG1vPf2w7hkMUhCy5IH39mELhQrYTXWcviQHL5JalfRfVoYFaqiCAgr2IW23g6g93HgwFgm9HGE37ROnL8/fKUpYyNq8TTP4SPZJtBweYcf7lOP8LfF5luZF7WK4zXeyXjZV24B4acPjlskv8vU2iZdNLX+8wjfBoT/1MuXfACYBip3zI21iQIG4LI8i7ppEodKDvh/vfczuOHeY25ZySYMegn4y37NwVg+Kqkhh/BDkHFQ8HOQq5OY7omLR4XyCXQc/t26iV8Sn3glJgitcxfd14Dw9UAhbeOOxxy+UC7RikFOaLwBCK2wpFMPskxO6dT+O/I65MQZAoAuCMoDkfQ9fu7TOu7ypGn117yTDcFfLiFsrI3EARGHz0pkBJWOCNqWFLtB+/cwacv3xJ8L67MsaQ5+vqWfFMLndD950TE5Tni9oKYVRXhas4pjScGppxOJBIFyYqH7BYjEK8WR64Xt+vLIZ2SmzRD93b/7HKzVs9f4C8vNI/xM+jPZRhD+lCF83kuWB22fevkeHD49bht3K7SBEgADWJGmNvAqEX7dWBxbmeLX330X/s0f3pBsIwPCe+cG+MVv+eLo/HkDFGstTrV6f38cf4+aBAFLhB/L0grhwNvjtaORHAbXds+atH6+Vp/8sTZj+NKlUTZdXwZtI8QoAvAr0xqzuvGBPY3Dr627bloN+MxYVnJaTgYyzwAg+ischwrduQA3om2BUMYgnHsdrWY1hM87n4XrcPuY1Q1mtcUznrAvOgatxngxsaDSUeIqyrPVOHyaeOeGZVYVR2Ws5zOUDt3jOx89jX/08utxdHnCym7HK0TaP6duyOEb465BSqnVnraSw2fbaHJZSbn6+5RQXE0vyzxTo4JUJ1ZnfhD99vd+qf980BbwkuYyUjfH4dOgl/yvl+cplA6VZH3KZUsYzxqcWqsS6R85XA1J8IEl9cL0PUKnJ1ZnSelVkuPRwPylb30mDjJkB8SxgL/7zFHUjY0cfsle+qRMAqcpbPxS0PlJDpSugSY/HsuwVtd80zHIHm1XS4/fN58tnzGe1ShMkB5qTV6AIINdHleJQoh326K6P0+93JXevbvNfKYM6mFZMIml+xt/ZrKXLz/OsKUe6RrjMtMhoLo6rVqEr8d5yNbaSYGeB+nwrbVJli3AJlUrzzm+93wS5hy+YShbq+AKoOXn0e5PR/iLDOFreQWAm2g//eDJRC5Jqw4eG4piYGKsASFQ3lU8rYvS4ROxlkFbKqtPjfrZbtu1Dv/Hv8YlKR1ZnvgX+suvvcx/rnWmAdp+n0Pe9zWj0lHK0soa+IQ+ZpX1zbiBQOnsmRv4ielzj62oKDnKSFWQBEkrZXGmurEJZcXRoavTU/sXRrbZo/Ogl+vfvNbVAzrKyk7z4JNWLRNw6NtaC77ICpSO7sBrG68KON/qjot4e87h+65QQzUfAXAT88JQV33Qc33WVfvx777i89w+J5VCExjfvJ3OdWlugCfsn8fdh12mNU0Ig8J4qiUg/HSlEiNjoo6cQ5ZjAwhB29sePoVn/Ny7cHR5GiN8pWftZNb4iY6ug44dqq7GKh33uVtlcJqN3zs6LVoRSIQ/ZOUNwnNoA8gc4SetEfmkkD5vmTz46KkxA0jx+CFwVAqEXzfpGJwpsQHJ4avVMpXmQhrCH7B3y28ngNFO2K51+BS8Wp3WiTMC3IskEX7TqgZ4k5Acwp/Mav9w6cHJSonkoGZt3RSOYI+tTLF3foDL2sqYJ1anSXkCvzxuTzPqGsUGsazGR0XPZEIJ5/CXRq6HKCERWVaBjk8vz/OfehAA8I3PekK0DQVGw6QUvguEQKRcgfASujKZR1Pp0LXy7bRntDZ12aYUx8m1QOScsBa0/aUXPRNPaktinBrP0sm4DI0uuHzv6oOLvvkOd96E8MdepcPyDBhvnB7HRA1mYurO3fu7j4Rm6pqSK86kjbOluTOk+xvFCdg9aprQhSxV6ZBzpeJp4u9Kw6HQUGd9Dn8+87xkMtex1WlC6dC7QvQoiRaMge/a5eszZcYaoMkykWwzVGg0+X7SvrQckh2unbZ7Hb6XZnJ0xq7WBTbjLFleE349lc6kapLyurLHKT30SVtymQbGrQ+dwl9+8mEcOjnGEiv0Jh0gqWS0Ik186SjrbVNNcslYDdkNWJpzPQOmXQifcfgHFoe4+tJFPPOq/dE2pAXPovUmVekY4+69TL/nMQ6HgMMx+P0MKLNNdWfPaLVF78R/qwh/Fros0TmS8XrxPP2+Eo6YK2g4gju4NIfj7TjwQKNIJZt8Eow4fBkcFoXj5HOu6gYHGM2mBm05h1/VEcLPSULJOJKPqA/v8EmHH7bnIIX+PipNGrSdhnvti7HJKq8c4SvPS+7z1FqlUjp828K4MTgsXY0d/iwK6fDFBMuPL8cvEI8LMvl+un1pHL71Y3qnbBc7/IDwJTcO8CSf8B1f733AGol0cPjkrOnBrQoOn8syR2XhJ5w72+bJ/DxXJpUf7APv0GKkrut9U0qnKGJU6K+ZbbM0N8DyuPIDW5Ou8klRlmcmo8ByqtLRHQXgXjjqhUrH4d/1Kh2xLynB0xD+6qyOKj3q5TOkrjsN2s4NSjU5Jzj81onUTaTC2L84DDJb9p15T+kEhB+yU4MjacR9dOqWUGMnrpnkAq78uc4pQVsqwfHZI8u+lAHZkCl5/DEYzOQ0Bi9zTfhgJt4tcmR0R6Vck1skoc0ArEjJowgpJKUzZu0VJaVD957u7Vwbx2psSkUGWWbYN72/odRE6lcG7L0kUxG+UgfKvcfYUdu1Dp8G9dqsThKagDBgteXhRhD+eBY0z7R/6fB5dt+AIXxe6zyemNzfOJVBtAEgVTpMhy+CQr7rUMIRht/3zJVYnlRqUhcZnxSrttiXtLR0cXjB6dqTCYmC0VmVToyuBsxxAbEihI5BttZmZdL3shx+JPNLHcj8sAz1ViazZEKL6whZf04LwzJo7VmglfTzRGNwJ8MnHpXSUe4vEOgT7lxk32bAjcPXfvhefPWvvR8fveexyOGPmIPSgFFE6bC4g68cKaiPUiiwPPIvU8UUNX7ZNz/Mvm9clskpPzKpqppUdTKuZBkKv3pqlUOk0uHXoVE6A7Gi7KJ0ZOJVktRolGz4Xod/5hbUBSzNW6Bg+pxsjS3n16uHP541iawvUemQw285Xs/h8/PkASVB3UiJmKrDJ1mmQGVVY5MBxauH7pkbRI3BZVkFd25hma2hFCAtXZwE9eq4XSEQVg6SQghcve5cPaUj9OsRwp9WrPCXzuGvsoJdQMwbh3rxhacFx7MmGUM8i7VhQen5YeHHEY8dEcLnBdfkSqVuGuasGKWT4fD9c2ZjNObww/i57ZDrvXBqXGU5fCkL5tdL7xF9lAvaUic5iX61rGcqILi3C+EzSkfj+SWHLzNn+TXSZE7nPvIIn6+2pMMP+5bX3BW0lbJMWSNHoxv7TNstGE8Kamya0KDxgbzbT9EGdTSVjrUWk4pROk2M8H/9xc/G9z3/yaG4VkMOH/6cAODXvuPZUYErieQL4QA1rpCSnmRwqWlSSocPwqW5QYTwc0FbOv+qtlEMgIxok5xKxyN8vjRuf6YXU8oyK4HwvVSufWElyuTPaHVaY0Ep7cuNKB36vtbGMW4XmTpD3ruUr2AWhiXqxkaIuSxjhJ/UTOKTI+P96RpilU6aacsntbmMSmfPXOD5eX8GqWDh95WOD4RAOp1XQPjiGXoAgGg7TXdOmfDU3ARIKVT+PGTTFSBuVWO98AAAIABJREFUL+m2bxK55MBTOrETd7kBcVY3/e9lmWKCdfcivNf82gGeadtN6WjtOWWZ852w3evweVKQTbvBa+iOHDZRNVqJAiBMIp7SIQ5/VmE0KPCtz70Kly6NfGU/2y6FZUDoyQcXwZuOS5S8EcVA1TTJUpCWi5LS4de6ZwNBWx7Qq5pGR/ilSKKi1QlbHcigrWwk4SkdWtFUseNJ0viFoqJqLO569DQeOTnG2rTGIkP4avE0weFHQdvKafQHhQm0WZU6Q0p8IyfNO2HRMXyg1/CyC01CMUZVR8Uqjxq+h6Axv/fOic4yCN8nXtVNhOqpLwLt311jOtnw6yUnbgQYCTp8+GviqzeP/BUHt9auxorCqPQa3S8gXnXzcX1CtJdcm9XJWCTaiuoYReUeWg5f0oSSqgL45Od+p9OQgXQgpnS0oK2WFFjXO18eebD+JhemRdpmjUOjh8ceDFXX9P08cwixCsgECI6U9N3y+BSMkbxnWRjwYku5wOeMbS/Pn9Q48jOexEPGf6dyvRQ40/h5z++2lM78UHH4hYnQoYbweYYmEJxALpFq6q8X6t+T5J/a4ht+8+8wNyjw1Mv34Mr9beevHIdPskxyZmwT6v1rjImCnulkHFM6tG3IqGVcckGqEOO3d3+P71VcZTI4JSqf4Y4fnlOg7hiHn0H4XL3Di6ONBmGM0XnJZjr0uTuv9tgmjFt+voVBhPC9I1U4fC4EyMmgeXmKQtnmseVYGRfddxM/q7FQeY0GZVv3PpXIdlE6snga34Y/ZzIV4ZdK4pUQN+yE7VqEH6kLlBuuIfw1kWmY64pFy0zJ4fMB7CWDNmjKJaVTFnH6vAzMBUeXDqxY0dKIgHTc9PsFT39cdJ78Gilw1onw6wZVrS83eRYjP+coEClVOvRSiSzNJK29/Z2+qvVP5dc1qRrvzOkc1NIK06alCNzvaVcv2WSkiZKo+PU1Ng62eYc/bRLFzaDN/ZB5FSHAncovw+SN6Ph0flXTRGiSO3Z+/nwiiGvmxxMXAHU1JuMqXrEikuFk/Sd6drKu0d/f8xhe//f3+xIjWkAWCKh8WBqWzBe2ebgtY0E2rvQcAL6vcG9Dob4k8UrLtBUrTS1o666VN40JK3xuKsLPxMm203atw49rtac3XONvqZ/n0joInwJv1PeTHlykEOGoTQRtpUOjhy8Dc0nWH38RmbOqm7gwWlm4LD6azOil5tdCKxGSEOYUOO74tkUpGs8fEq+M4XXRuUpHdyK150nja8qWUEiQv/thhdWw/9zRFdGAO43BSFmmDNpSJcmynaQjZ8iQLF0fX0HSfR1XgdKhe0HN5ZPgPAcnSj4Dz5pOdfjxSi6H8Lkf4Qg/qrqqJCjylQyQSmjpGnkchmhMeR3cwf3RR+/zx6V7Q/eT26RyiZC8zg3fD+8rsTQqMZ5qskzj98XPlfJMuH/IrSbp2o3hKp00tkbH4wo9dx+FwzdK0PYsqHR2L6XDOHzZuQbIcfgtpRNx+KnDmEhKp92GNyDnlBEFhTxSFShuSC+ukmnrtu/O+pOyzOAk3P7oxefcJ01M3uGrCD8g8bppdCVPERKv4vNDe28o2Be+U4j7kBTkEs7NI3/hXOglmtTxM4pUOoLDt9a2q4BCl/lVQqdeFrEzLOJzbdqJNSB8d6GRWoTz8VoROF4tU0H4GmUW9mejACF/jjwGxCfc/QujaB9uGwuD+Hzd8d3/0gHKACp3mBqHLwPoqWpFz3shh8/vCd2jurFR9u6BxVHcRMbE1zgRKi+XAEgrcDqPGFxIjMPjepoOn45H72yIO6UIXzr8nBJuO23XOny+NFODJuJlbxqLP/jQvQDAaJmcysM9zEDpuL+vTis/CXBJY2MRBaYkJ0+F3CQFkPKk+vlrPTO58/jO656Eqrb44a+61m8zLxC+RumMBKWhB21pdQIx6QgdfsTh6xNZWNHEL0khXkJZikFmW1JXLi3oTrESjvBjSqeJWj2O2howOVROMRQtaKtWP61Tnt5fdxS0pc8KVA0LAEv5bR1TOhzhG+NqxkzqJlKSPH7/fHR9gFtF+pWl9qzEGJSr1eBEHQiRKLsU9KhcLWqqOcA56dEgvI9AcKKyd8GBxSGOnJ4k1FSSeMWeITn8/DuXMgMh0xbqNrxukBYXAdx7w3MIctTPdtsupnSYQ1SCtqHhgvv9nbc+gs8dXQEQSsd2VVsEXPKSOwYh/NpPApL7LEz6kkSBuQ4ePKSEx8tLoHU4darS4bz6voUhXvk9z8Xle0M1TELBp8YzlGwy4jYUlI42Kfi6OAwl0b0DWNCc7V/WYaHLov99gHKdl3AglupkxFFriVe8xZ/Was71NGbSR0rOyaxGaGLlqhq6Nvk8qRRxklzlC4elaiBfQE+hBogiyskygZBNyre5go2DIQvaevqhjI9Bn/NzDpNUGsy1LOkv5vC7EH7O4dcJwvciCeHwL1kc+U5V7pzilaB8j/h7kqN0ZFMgDiJkG0e/TVtYD0hX8+F64wlQjomdsl3r8DkaIITNTSZx8EqXnlJR0p+B4GB8E+x2m9VpFUk6gRgByeAjf+GrOk26SRQDwqkDDOGb+CWNpJIKalj0lE6l0jm0H6BNu691WWZpXH9ajVZy59ck50f+RL4MgdKJXyR5H4z8e87hK5TcmGduqghfFhcTlIpYdcig7SCiweIVG2XNemQovsOltPye8CQ6/gyGRRq0leUv5oatw2fbDEp+fZzDT8eLX0UJBxhq6bT7ZciflFn8+7Tq9M18BD3YyeEPhcPPlCM/uGeEsWhows9BriiLgqq5hmdhTBu3EfQPGV/106nKSYH3GKgzKwU5AWpJbzthu9bhU5PnummiDEGyoggD7IFjq2rXqnVVOi19Qw5jZVL5SSAJ/hRp0HbAXngt6aZLIsbPv27iF8iXLlB01WREPZxam6kBW4BVGWx14JpKh5bwUmsfqXQEN8nPnc4XYEheBKll/gKnSAAkVRjJ4WscvmwAQgHu8HmT4fClI3afhwzUFsWzMr8pkqda8Sm/TfdDS2DjSXTRxEllsNk1XrEv0DWAU+1MqjApfOS/fFX0edw5LXU6PmjrHaD7u1TpBPUOcfjtdgJl54KY0imTTWZBUioRvqR0nnxwqe3xkANO6Qraj112OgPWOjJF7wVz+DrC530KcrWqZBD7bCH8XcvhA+GF1/StHCH/4195X/b7G+HwK+/wayz5Oi7pMjKXxTcsC8warsQIxwdSSRz/zHHIsSyTam1L3pnbApNlcs6aWygf4BCm1jmMgooyTsIpD2tjFGQSxBV/pxLOTaLJZPm9CQ4/JPKUft98vqAWl2QjomEkt56JofBAO4kF6HqpS1Yu3yLS4bMxwCW7UV/jIqZ0fvSrr/Vjkmyu7WxWNQ0OLA6jpCs6JyDOJo6pQ7Sfi7iKeFbh7/D3BYhr6dD2gzJ1bFpSFeAm85GkdJqY0vlf3/UcPPfqA3jbpw65v7fIXxZ6k7V0CBhJwUFRpNfrPzO8x6/upPmEMc05fBMryLQJfSds1yJ8IKgYeK0MMq14mrScSoeQBS2faalKGZxu/0ESR8dLEq8Y+okzbYvo85lYTvPPfGVJgaDrTLIOGZ3n6UmlllWg86LjuyboOQ4/T+kEFQv/Dtr7QE4hLLH59Qb6xP1dNkAZiHv87LZ08xdcsdd93snhF35f3MlMqiapNUP1igAenOQTLm+4HiZpqbqgAHeaeMUC3AoVQvfX/c5UOG2wf1a7xK8fa5v+cBsNCkxmrk2jnmsRJk2pEOLnpkmJgTSYK4OvnMPnf6db/h1fepW6P7LJjHH4Yt/k2A8ujXDVJYtJHZtACcbXkJYfjye5GOGnE5MsnpZQOoNA6fjihOLeS7pYFk7cKdv1CF/qpMm4rI7bq77nucn3pVGm7R6G8AMCazXXCR1jYGgZrKK4dDmfU/Xw73qHE72ktFSN98eN10TnDo6brLOSpXSUSTVX6ph/NqvjpXRanyXePkX47nOaCL7v+dfgG559pacAOjn8COFLDp+XD9azY4PCB1FQmqNQOe7IkcjEqzAB6olXVLyOrsnvr6TiaY26+gJcv1iidIbK8+P5KhqPnJVlZgQIST15/6xi2eWkarA0KvHyb3tWct+4TarGl6nOIXwav16mqwRnAV4uAf5zTXBQGJ1GpXPoKp4GtDLrhigdt41E+FkOf2f9/dYQvjHmUmPMu40xn2n/v0TZ5kuMMR8xxtxqjLnZGPOdWznmZozS/hurRcnTATYoDL7+mVdGv+scvpRlpkE1KRnUEq94zXP+sktN8GZlmUVhVHqAG29jN5+hdEaM0pk1Ngm00TlagXL5MWWpY7oX9JlGAyU6fEaT8GsnJ+L11YWJMk27OHyisYoidfiyL2zE4YvJxq9g2LN09yztU0D9aSXVRvGmKhPsdEHxFHHSd7r0247SqdtJIR0IBELoGdIxyZIxK8emiMPI3IYchz+tGhxYHCXxGNnxalIpHH67DyoLsnc+qLIAHmBur6GDlqobJP0aqM8A35bMgcDG3zN+jWRclplF+DkOf4cL4m917y8D8F5r7bUA3tv+Lm0VwPdZa78IwNcCeIUx5sAWj7sh82n/NtS7JiuUASYdX57DjxE+l0AOxACeMnQuqQyu7FAVGgItRZROhCQFKjNtoK8j8j83KPz55Cgd6by0apmFMV53LXMB3PWn3CT9WDU2uib5YvJAIN+XdCKy7C2ZdKJAXIyLvhM1Ma/ioK2UuHI1BwC/kpKKm1pxxNQERFPDZEtUGOLwkVwjVVzM0TVA4PBnuRgMBw4KjyyDtqlKRyJ/9z1ZGE9O2lL+mkP4U02W2W5zas05/H3zVDupHQ+i0YkUUPBJmwLi0Tg0ppPSIQyhtR4FYlmmLz++HsK/QDj8bwbw2vbn1wL4FrmBtfYua+1n2p8fBnAYwOVbPO6GjFQ2VgnaanU5pONzcknd4RcmOA1NNlcyLhfQVTo+aFvowTxJcfCX3Zg2zdu2lSwV5Nc1iIwxHhnlED6ftCRaJXOp9Ij6nfJjqmUh2HVplI5cFUjnYiTKrDLBs9YJch/Cy+3Svnny3bSKE6/8aikTtCXNuYZ8k9aTrW5e7ZTUjlUabt4plQ6FaqUVyMGNZ41KtwGtSmfmYjDahM2VLyrCz0zCdOqydLfk4mVWNFFd41kd0RxZDl/JtCUg88DxVQDAvgUqhx0j/LS8drpyrNuEJ0mJ8naI8n7J4mny9RqVIQZAYET6lkSH3yGw2E7b6u6vsNYean9+BMAVXRsbY74MwAjAZ7d43A2ZW9KnTbSBNAAEbBzhU5u40De1ySN8NnDWlWVKntgrITKDz6sM5Esql+G6M6AXZT1Kh5yk5lQKk5YXAFIljob+q6ZRNd95WV0a7AaAaR2XvZXH4ZULJYdPxb4A3vGMBUYLt1qSHHqYnOIYRZBlpp3IfH9alSuPs6M9rWeoKTiU74Tnk0X4Q6J0dITPa0ppxdNSJxqfh3y+OQUWd+gv/M0P4j23H44URV0cvtTh07N41y2PRI1qtN61AI8ZCarHBMlrRJcWAaFrOnyalOhUNYTv255OYoFH2E98rVq3sZ2wdYO2xpj3AHi88tFP81+stdYYk3rHsJ8rAfwRgJdYa1Ppi9vmpQBeCgBXX331eqe2rhHSbawirypi5wIogZXS+AAtN94I2r2obOCX8eAkZ1SatFqmLCwlKzIm3KMMPBdGdepJ0lfG4e9fGOIBrK0btCU1hMYBU+Arp9LRJKWc0onT+Ol6Y754vYlAIrdw/rGDALoRvm9vKOIAtU3LIYQYRZxJzOWHWnN5noGb8vHpZEATQfhOen3jWZ0P2raUzjRD+wRHG0qExM/R/b++SodACvz1AwzhM6rr9rb7Fke9XqkkOfxZHTh8NjkBbvxf+7i9yT6mkn4S5yoRfloHyiT74J/RxCjr7pNR3Of3/u4evP+uIwBCyXV+riqlk3lXt8vWdfjW2hfkPjPGPGqMudJae6h16Icz2+0D8HYAP22t/WjHsX4HwO8AwHXXXZedPDZqIaEpXzyNN0GWip08hx94XkruShE+cZ/hhZDJJTxgRSiZtgVSZKKtUjRnVwhHmJN6UYISD3Ryo5d0rQPhk2wwp9IJL074Dg/s8b8TTZXT2+cybbn0lVsoDdEAbTWBsUDxNGEDqUafzsGhwPiY9L+VQVvWaU3WHyIdvo7W9cnAO3yVBgrPp5PSaTNtteJ39LU4byNdRSRqnGRstvsTSD0g/FilAwB3PboczkMo2Mi4Dn8g9lE3Fk+5bCncD4Hw0xiQ4PBNUOlwyXGZAVLuHDSVjgQajgr+xbff7v+WIvzYt+RKMGy3bZXSeSuAl7Q/vwTAX8oNjDEjAH8O4A+ttW/e4vE2ZSGgmPLPcsACaeZerpbOGku/d0G1FJ0ncrbCJKsKrjbhRbVk0FZqncnKwoSgqILwtYApN3L4OYRPygLv8BWHYQwr0awEYDVKJ+LwleeS1m1xn+XquWilbIE46ExGqxVC8VyHf2LNNdMgGSAdo44m4/gafLVScU6h0xp7LmUcW+GX7lejYgyQxFbVyLPn0xm0ndWoGj2PgiZZay1qxcnJOkapcipG8jLuJMELd3K/8Z3PZtcfqDAy10o0cPiyf8G0iuWoPqdArkYysTND8Scbo/TC5GWZXNWVo3RkAxQAuGzPXPS7lAznkri227bq8F8O4GuMMZ8B8IL2dxhjrjPG/F67zYsBfAWAf2WM+WT770u2eNwN2aAktYq+NAPiwluPnpok22gIf8K02mUZp77TAEySPTw9EfbDMwE5ivMOnwaq4jRpX1qD81RKpw8iGoQ5hJ9QOlmEn9a8TyidyOG7/yWHT9eRLZssJjByElR1UDo03uKPbFy5YCGPk9CzO3LaPf/HseJiXrrXxFmzIY8jXt3wxKtGBLo9ite48jZJTLY/JAejoW96HuNZlw6/8Dr83DZeiSQCxu747n9ZeMw/Q5kkJ1axcjVWNxYHFod4yfOfjH98bdBuhIBsOC8X4A7Uj0T4VRMHolNKJ953SkuxHBIRQA/B6BThh+QxHYhxWSfgAIRWWuFcqHS2lHhlrX0MwFcrf78BwL9pf34dgNdt5ThnauQ8miZuok2fAXFa/pc95dJoG5LRSVueVFGTjVilEyeBpC+KUbjdQuWJc4oHfw2FTunkji3t8tbha0t92mdhNsLhU/OG+O+5c+ArHXlujtLR6YNp1cAYRX0hAopkoRJkeLEmrMEJnQs506PLzuHzqqJeupeUjnD/y9VNCOQ7BypXNq4MbvpyS4TP2x9GwdxoxRCCtvtYFytuoZZOXrpJ90DL20iCtiZ8B0hzROgQctLmDl/r3cpXRmREt44kwm/vX1Vb/4zducYgTq5GgporHJOuW47PHFiieBs/DzmGuUqHnw83meMjZb87ZTssAjq3RgqMXBNhIAzkFz7rSvzmdz0n2UZD+A+dWPM1SWRQTXar0hw+IANjeQ020DawUMZBjmuUx87xuwu+NIT6sftuWXhKR1spGKPXvE+UNQqlI9URtJ2kqfi+pJPk1ynRUY7S4UlnlLMAAEdPO0rnssjh606BOzApCiCVh4wdlSbOgJb785VFxb1qrB7Uo4l6dVphroPScdvU+Ynd5PM2kiJpYmzKCpSh9HX891Au211jUh9eUERAeK4hc7pF+FS2QJT7kIlX8l3TsoUbReXGnbE2PoOMF9H+ou93vVRw48XatHtW7l3dLtvVDp/QkUysAPis7x7MP3zqwaTSYC7T9vS48m3iPIevBGKB1OHJZWY4TpMsqXkgS3O2RSZoK+v45FDDl197Ga66ZAEvfJYmwnI2KotOWSavf673QtUcfrgureRF3ehosmrEMcSknap04vsAuNWZlAPSCywlm3Q+JMscKNcns3+B0MEsKShXGC/jdL+Hcw1B2xT5A5ls6/aX1UmdrXhKDn95UqkrtHAP9ElF0iRydSUzUsNEIJG/+8HljaTtMv3n7H0joOE5/HZfNUf4Su1+KcvMyZR9fEZMzNo4DudZJAhfLqAHbTFEOs4/fVqadiQzi3OdsbbbdnUtnYL4YJs6AxlU1ZwZZT9Km1aN54cTDl+8EBOxFJaoFUBa7KyMVwNV3SQTFu1Dc3Y8yNkVBPrCx+/DB3/yq7KfAw5FhqBtV6ZtTmKZ0hf8uuTpOUpHdyKzqklQPE+Skdc6UhD+8qTCXubwiWIDQpmAQXQvmVNQJpsQo0D8nSZtvFO2AWKV0mHZ1lEAUUxqmkZ+dZZH75REtjKp1Fo67h6EmkzyvJKgbRJXkc7V/U/70qSRLsgdn4OcKAD4hkQExHjei9s2pqmGCYcfP0dtta1z+HmHz4unkdpKOulRG7Q9uDSHQWHws9/wDEjjHeGGZZjozvdM2/PayiIsVSW/Kznmrgbd0mZ141OlKUMyybT1Kwg9AMnHSK7YGUdR2rsaKVqiwd0GM+vUQW7WhmXRGbR1Khckzo0aSWgTEkfsalxCXBOvlqlRc5Kz5ecOxBz+8dWpzzCm75Bzoto+siopOQVdvZI6YpJfJvpuEwdgpfP2vQM2SFsNmbZ9PYS/Oq07EX7k8Pl1CuVLCM7CH9v9LkGKyLxmFFitIHxqEM4B1s0PngQAfPET94f9tEF0a20biOaUjnynY4efVGE1La2iPKdwXum9Wq942qAsYK0rC/HPvugKXHXJIqRJCuts6fB3vcOvlBmcPgNCQEVF+EWK8JvG+nK0gHvYMYcfJ16lg8ztR3K+5FTcZ+02zKlojjsXtPUIv2rUwmmbsWFZYG2Wv0cUiGwa/eXQSyu4/6smdeCFMWmCTEcsI06Dlw4/fgYA8NnDy/j8x+0JxytCbZSqTrnlojC67NSE7/BzpPPOZUDz1aBElZTPoaud0ufM0e0oo7SKC8HlEH4Yf8boZbiz3cZEaYXcmJUxs428byuTCmVhcNme0HSdED45ylEZ30N+jIj+MkaRliLznOJ7w40ynwFAy40AeA/d/ArbT4DUGSuzr+22Xe/wZUciMo/wFYTGvy+DL7KhASl5tLaFgNJHUzgxt61e+8Yvg5Xzp8812aPn8Gtde70ZG5YGa1NXpCqXmk+oVXPeXbJRWUvHfZaX9MkXkz7LZtoONFlmEyXBlCYsp2d12reXAq1JjEI4F4kmA6WT7qsr8SpZSQiEz8dB5PCzQdtwrbmxQOIGOalpx+dqJGP0GvNAuuJL9pN537jDX5vVWGxLmIRrcO+KL08SIXz9naN9y5UgVyfxy+b3KXH4jOalU5WvJs8HyAVhw7vdTh4EGHe4PvKudvhe0pZxFEC3kkVD+L5lGSuhwANeQYevTygheBs7D60lHp3SrG7UCakwmeUro6u2ukIclgVWPaWj0V5GpXToM43jNv66colX4j4oDpBs0Kaxa595Dr8KL5WkPzRKJzof9nxzkxb/nX7WJgk+Ebjt+HWEzzaqduLXsR6lAyAry+RUU04uqarBjFEktO6zWaMX08s9K78/7vCFogoIDpfGSNQfwK/a445XdF7J5GRIpaO34OTXw48hdfg5dZi7zjyNBoCNvR7hb9k8+mxSJJlwo9oALFOVjq9vTQi/pCWmrtJJ+GiPhOJzIQfBl9Q8zpBLelpPlrlVTnDAOHzNYRiDrPS1MEbNgu2iqgrmRPiLKb8bHWODHL7WX5ScM+CclKQ9AtWiT6q5+69nH+slNNx3Cl9hU5vgQmnocG4c1edKXG+E0vGgRaO02l81xVdRmGw9fNn0PrdSSM8jvG+r0zopSUDxkUp5lp7DV+7VoCyy1TKTjOgiP974pJQreMZReq76pVTpXCiZtue1cW48cRRniPAlpUNKIKnSSerZmHBO9L1wniHwKxUiQBfCN0l3H/m9rQ6gUWmwOiOHr5+D5tzcZ6l+m/8snQJ9lkj9FBTHf8/r8GOnTPdqVMYIn15crY1jQOWiWQtTQvFz9d/JBAN5EpW8LuLwdZVMk/DrPOkoi/CHqUOURuUltN7PpIzRynTw50slq2O6rsPha++baEm5Oq2TSq7Uxzcg/JR+kYCBPpPPygdtG73Wk3aefLzQqeY4fLd9N8KnFaIUbOyU7X6Hr1TDA1KEpnP4oZ4+Galu6KFS4TOp0klaHApHL+V6vuqiMtgam0dEstQy/3lSpaULNmtD9hJqKo+I0tmA8wbiZb+aaSuSebQsXX6MdXX47edydUbf4VpobZXSWKhZs0BOdtqWGxaB7MJQKYZwbLJQSbNjtSbuFZ+4srLMDXD4voiY8gzpc0ndhO+Fn/n5zppG8OKEvol718FDROnMqhThDxzCp3HPrzuRikb3kRUoS2JkMsAcjidfn0GZqnSMuK1DJZAsjVcP5f/3CH8LxjlTjZsF1lcNAHEDDSp3TE6j9C9qt0pHBm3jpJtCPc+IA90EpcOvbasDaLiOUzEGqg4/OT/DryuP8IsOJyJ/BmLHIZ0VoVvqgORXZ2WMCgPCTymdeDKOrw1IayUBIZCvtZ4E9P4G0WpUaPrpOPL64qDt1lU6WuCdzkErX6ElKNFjlpVCaVuqe6QBEa5xB4jSkWWF3ftGTncoVmt0bHkMTWpZsHONKZ180JbuFcB0+J0IX7/nsnpo7/C3wWgJba2ODIH1VQNAeEHd9rEcjIJtOYQvS/d6akfhDBMpW8fS0u1r/Vo6W+fww/fVeuqG9bRVnLeqwzdhIs09FyB9Mel4ue3lpE10AJU9Xh/hp31fScmRm4zlasR/p8nru7X+BhE4yVAhCcLfUNC2XHeboNLRHXFZBHltbvKlr0UTlDLGuwBWWawftKVa8zNlpRBWjgqlU6TPgdOumgJLXiOdN40XWUE1bFNE22smq4fSOOpVOlswHzyzSs2W9oYHHX56K3hbNrI8hx8PZDmhFGKQqfymQHFdyJb+plejZBPIFh0+R8M5HX5jHdqRvoIj/BzakuNbW9VQEheQThBdATYqgUwlEz5091EkG52SAAAgAElEQVR3TTJo287nMyVoyevMaNcwVdorUkatVpTLHUefpH0AUaN0lGcZ6/DX5/Bz0k0eW8g5Yik+SH4W41pKienzXJIc/Y0XT8sFbauI0mHPku4vJTsKYYQ8l0F0b/Vt0zFdeO18Veu+YzRIj6VdKxAcPb3HWhvK7bRd7/B956EkaOv+zzXPoO8DekEnWkJ7Dl843pBpGqM5iS74dyaVDAyu4/AzCJpQgtzfmVhM6aQ3qTDI0gF8BcKRSxdVpal5+Haaqie3r2HpnsG4qvGpB07gZ/7iFgAyaBvUFnWTlhD2caBG18fn5IraPeHB6vTcQ0+E3OpPOh/u5BcybSrnolWAvg2tSHI1m8rCZFU6/mcRb0lyEPwYzxfic5Oe+7lpbFSVlmzY9gWm943TVLmCbvJc5eQkV9a5Mei+G/zBTDkHdx3rI3xPF7fzG40JHojfCdvVDt9Xy2yU0sKE0PwL24HwWWq+DBbRi6olTgyKInEIYbClx5lWeo9Xfr7x9bHrUV6+yUxvXL0ZW4/S4U1a0jiJTl90vlDrbJcgfOWFJzPGYH5YYjxrsDKp/N9zlM5MUemQkkM6Q8OcRXKubNypqwIlkM0L/eWCw9qERrY0l3P4Jfs5pxgJ0lptuPDciPiZIPmZ/pdjeaMUKiH8F73qQzi2MsXCUHD4ZRy0lZ2qAL0Hg7Ya4aIIGeDVvuc+K2IKsDCJb4k4/NyqyrfCJISfZxq203a1ww89bZViTWIAqkvZMg6s8O1D0BYqh08/51rD5V6GQWaQ5jKB/ecKKpxU+V6nG7X1lCBdmnqXzq4Fldk24rpy6D+8pPHx+UStvSvO4de+iBiQUjrdQVt2fZLuyVBqvP5O5BTlqoCPgVIvA8LrwySyU3bBe+b0Oogb4fn9ikSR1gJuPKnnrATi6T7IiYsnA7p96oovQu6fauvoSIQ/Kos20zYN2oaAcV6qzP+eowPLjqAtTczTqsHpcaW+XxtS6bD7BORXC9ttu75apla1EGCUS5cuWDwUIKwIgiyzVWQIlQ7tM9SSCX+Tx4u5RN0x6tyqvnTkyGWr9bX5C5WTZQItOhaDtdiAo9CcqLqdoMT8OUX3MT2/+UGB8ayJSiTPZRC+FniOHH7HhJYGbVO07ht8Z2q9eB1+9CwpeSxV6fDflzIOn+8r5/CNCQlh2RIjlGSkqHS0lY8LgKeS0C4KlZKquMmg7aA0mI1DoqNG6WilpDXnn4+X8WuMz5Ge7be88kO47dCpqPIqvw5tv9wkXRyCtj3CP2MjmZemBgFiBL5RlQ5tP8dkmY3VmxBrwS4taBurBdjx10P466BhYOsDiL9wOVkmoHev4gWr+HVFZSU6OHmjOJeNqHq4zQ9LjKs6qqcT1cM3QWY3a9KuUD7bWSkDYYzes7fMONAQgE0pHa/SkfQCQ8ZdSTk5hM8ti/CLoMPPBW27fi6UcSjHA6946rZLz2VuUETPCUjH3LBtH6gFbf2xlWeiUX85+rBLlkn357ZDp5L98nOU20uTKp2zhfB3tcPnQVvtvnel5QMZhF9JhN82L2lSaiiq5EhoqP1Y8rdAd/BIGwfrvYjyfM7EeENvPWgbVieJwqUIzjReUkP9Wf6uVafMdUqS25PNDUtMZrXX4gPAlfsWwn6LmNJJr8H9r9Xidys4G21Hf/dy4C6VjqDhSCmjTeTr5VTkED63XFcsmvS6ivTxbeXPRnlOMsdCInxtXM4NC6/TJ+MrMyA0CPeZtpEYwP1MirEcsNDAg9aeU/7stot/j/PwnW1EpTPwHH5c9qNX6WzBuqoAAjEC70I2nMP3D8b32XSFzzSE7ygNodJRUVF4GXIqCI2uyHGU/OdcwayNGkeOuY5XQIZyyNA4Xcqa9WSpXS+g9nLND1tKp31u3/IlT8D+RVYP38hM2xzCVzh8k6kVVDi1SS2ct0z9j+5DGUp05NRAXb5gIwifSzS5FYVTi0glkjwHIHai9KNGnbheB/ExgCDL1Fas1H+XG+8vDHTLMvm55sZJDgzlMm3lPZfvgJyg5DnlKR23DQcbhdHvy3barnb4oVpm2mgDcA+ZHpiO8N3t0RD+KEL41it5EoSfK56mBll1FAnodEUW4StBvzM13ixEu4f0J6vEC+Tk53/eIKWj/Zzj2Aujn9/8wAVt6bn9xxd8QXy8Iujwq7pRi6cB6WRM39VlmaG5uUbPaDSXV+lIvX+GIiH71W9/Fl74rCujmvE5y2XjUhwjm2m7DrBQq4g2evZqV/G0UVl42ebnXbYEAPi2514VbeOUb1yWKRx+Jtaj/T03PruCtvL+SApKntN6QVuO8LcKzjZiuz5o21g9GAe4hzzuaNDtET6TZRL/6h1+ST1tdQ7flz0VQVuVw6+bJDmmNAY18ufPt5PnDWyd0tkz3z1Eci8N0EHPdKh0cnSPhtCANNFN2sKoxOnTMzXL1n0v1ESpGpvEPKKgtDLZ5DqOUQ0mLQ6TLTXcUjoaQsxx+N9x3ZPwHdc9Sb12adlM2w5xg3ae/Hv8f75trmEMOXQNiMwNi2gF8MJnXpk8j9GAKB19Ze5XHRlVXk7ZlkX46zh8WVzRnSN/fvm4ift+SLw6Gw5/VyN87rBzHH1XfW6Nw5cldodlgVkV1BWyjyZZVy2drlIItDu1BeMGKJ2t6nr3ruPwNTmo/yxzTl3F0NaT0uVeQM1RASmlkzh8FrStmibp+8qdtLYayXUcU7NzKR6QSbwCEDW/BmIF11aX+11BW2pEvx6lo03WEXXDfjbRz67q5sTHwBSHPwgcvqb6AkJuC62S0gm8e5zkwFAe4cvjr/8MzgThO1XT1p7vRuyicPhTJUsRcA+ZCiCpumCRHAHwoK1p/y8wa1uu5egG/vN6OvzcPs44aLtVSmcdbjiH4uXvOUonlzkrg255hF+ofyeTlI50EDJom1tBuKzleN9lwYKQZXyu1KNYu26tuBfX28f1YboR/mZMatr5Meo2W3zdlaRG6WyAuqPtAoWqqXRKPzHPKp3icBy+DTJG+b5kKJ2gjtOvKzcm057L67tMWX5bMzo2V+n0CH+LlluKan/bDMI3JmxPqd51ky75tcSOLqQxVVBkqBh5boK2nMPXLBdklr9ry3sgz8lnYxmZv+eQ1FybaavVwqfjhEzblNLpqktUGFYnXvC+DVE6CiLOtUUEHOWRi8FsFeFfsqjz/FRPSCtBAuQTlGSjHvmzFuT2lI5yLQ7hu89nje4Ah6Vpi6fpJbuz8l2TnlOOxukCSRsBUJtJvKLJf1anq8udsN3t8DuCg0DeScq/yUzbUVn4wT5oSxtrqe9aGjr9L1scAq30L+M09Vo/mWvpoFk2a+tx+F2UzkYCZGlCnP53+kouMCwbZZD93/auPeiSorr/zn1837evbx/ssi8WdxcW2F1AWBZlZcHoygKrCLqaYChBRMUyaqzEskCiklBaQcukyphojFEh8ZmKlpQhFdGkYsqKKCIKRnAXQhRc2VUTFvbxvW7nj5me6ek5p2fm3jtzX/2r+uqb2/M609Nz+vTvnD490QyUiO1sN89PUDq209awvDlKh+fw+ZWUzIgm85nM57JHeRwlVBQ37NyAiWbNQenETuYspy0XKsyFZdrbQPCMU8yISMPk8GfmWokFyjWa0Uxb/n3a31n8jGlDq86MpMxtbkCVJ06+kcPCjzh87T+aS2dqLQPDrfAd1mdQFm/z+fCZKB3Lsao/ouMzc2kL3xrmA2aUTvre09xsToHKsMvsafqcDO1gmWAVakhD5JR8OZVYnDMnWR6NqATOVgo5NCdeNevEjkK003bO0Wm3VPod1GsChy84Qc28QxJlNWVROq5soHnxnpdtwcO3XS7ujzso/jvJog6zRgDRPlPhC5TObEsFYZezvALU6cg5Ks2USY7mkiz8dJvkaruoT0z6/mzdMsMk7isDQx2lk1QyzP4MSse28B//1RF8+tuPJ47Rjf34zFyKdknmeUk2RDH0LqUA09eK9/GKPWnhd2em7ebVk+z+3E7bDikdfR8pbHJcyAQ50ahjZk7h2PQcmx44a6atixas14x5HBb10moxGTY1H+/o2KWkY0D7Cj8LmoKyJ33xMiTPS+13jJobtTgqjrOUtfGkKRuJwweAYzM8NZTl3M/j99LfGhfmW5QizVziMGx7mjkoGyOj8Plsk+79MYcffNTffvRXqWPMBpimNNLXYmf5ORQ0NyKIzjOukcx50z0LHwD+8+YXi1y+O6be2DYey51aIfgvdQT2R6GfT8oEORFa/oePzyQSqMVy6Xz+ip1py+UoMmXlZhJrv0BL8Z0bN0nNVPjSPSV6oFPETmZ3lE5NGJVIxoZ9KdPC5+6j3+HUTAszLYnSCcqOTc+hWU9nqpTma7iCJVLl4SZX23ZH9e49ZzBHxZAc7XEm3qA+jkzN5pot3SlGRuFzQ1Vd6UTuoewsM6lKQzeA4zNp/p1L3RpPwDKOczjmoo+No6QE6zqZ4bJzq2H14nniPinMDXANmWUlFvlGBEvbfh49mUhW+MH+w8dmRAsfQJQPSbIYOVklg0JP5rJz6ehD9KxKE2aG0zrTbux7dBMmBSVlsQQYByln4TMjAA09SRHg26UepR2dmYNS/DG67Oj0rFNW0bnP0Kyp7bq28FOXT9TBLXs2440Xb0wfxNzXRrzcZeDcPzI1i8UZ9Gk3MNwcfobTVpeJnnRroWFi+vyEhS/wiaYs/NDS+MBtq8gho9RgiSgxE7hMmNUqOZwB3oFtlwPperKPs+tY0wASpaP3Pzs1yzot7dh4qaOxn8eW3eaAdTIyrtObYVJ9RFPtVdKvkbw/+4gdQ1NQsy0+X4/UBnV9SPHsrlnULgv/2ePB2gU8h68V/hyfrruW/B/dL6IEk9FU9n5zm/3eC464JCevGQG44ea78cMnnsZCYU2DbmK4Fb71EUr7pRdnT47QIWW37z0rPqYeO22dFqBleUjWeVpp8uVmGTe01YqxbIXPTR6KfucZPgvPK0Xj2Fa6HvZLESj6eEnh24tr5+m0ueewaQ2d0oPl8JlorGQbqKXOsWXpJoLsnrxj2pRNoiylVASpPDTmYjqc07ap39VMcAzH8ycoHXnEJvlIpElRbCK1DAs/D11qp3e25dFROgCwYKx8wmVkFL4rLFNybNYtT7rmH/ectTo6xuQUJSVlcp+6vWTljImuIVi85rEuxyzHW3cTrk5VjCJy8uL883IWGhAreqljGzOsRheloztzWxG5ZHU5/ebCtNxs+C0X0y9QY1LoYDdRqwWKZ5aZSwLIlA4XpeMaVdeF59LQo7Rnp4J3wXXQuq0fneYX98ly2jYFSidBsTq+J3tFuyzMF5Q4t5peFRz+UCt81/DSLJMMJzNtMRArfJM+0Erk+Gw6SqfBdCj6mAT3LTRC8xlYa0Zbw0zD14aDFJ/eLZjipjJNChaUK9RQpLDCn5LCl3RhNqWjFT7vTHQpMCmbab0mrGrlUPiiozaDluwGdJQOF5ZqyiP5NxIpimvp/dF1HBFdQLJzBgQOPzzm6Axv4UsTr7jvSBppRqG/TO5j0yDIM3qWZjfbUTpAvoynnWKoFX5D6ME1JMtFwwwTA4CpmTkQWTPpNKc4NcdO2zfvA8Q8pcR9p2cIBr9d1inX8HVsueTM7BbcMfW6PPlMOq9KkXN0+oMUhx9eQDEfJxC/w8PHBUonsvD5HC/OEYz5Di1LPk6Qlr6XK4VG3u1uQkfpuBYxBxwKX+yg+Otw1wIMDj+kdNggibDseFFKh5GVS2EBxLRRi2lULuPMxEtDFkD6/vQ3YK7wNd9z+J0hy0lkpyy2oZXJdJgc7aFfHMZ4o5YYpmsFcXR6LhVGxmVyjNbCFaydPFZUtM/hg9BttUqFL9JRDjpNGhXYw2XNddodn85tb1pKJsaNd8jVhUnJAW6nbXqehbHP4vC1OFwYI7dcotQGsmjJbqBmROk4Fb5QN3n9M1l54mOF76B0tIE1M8t2CPr2dlVxHL5o4de1Az3dppLGnvw+/uI15+JHt+5mY/mj82uEo9Pxwjzewu8Qro/V3M/F+wKxE2lqtoXPf/dn+NeHD+K4teCBGaUjTdpJNqZ0J+NKJqZ/FrFmAECF49HSKR1DrNQcgmh4nT5PS5zKTil0cK0onC9ZvmReEMq2bhkfOppYxJsLBQzr58h0QCO4Le/kuXkc7xw9MzXbSnHY0ihPyvfSTdRrFGX3dC1yI0fpGErUkNFWdnGG2XSQARBTpUemHJSONrCYEbV+FvO/XS5z+JzCT10+8awuDr9WI0xm5KEaq9fwTEhfAeUbZ8CQx+FLwzcN/cIlx6Zp4f/8yFH2GLNRSqlaExY+swiFKw5fWxmswndYGK0eWPhpyoO31oGYHk3HdoflVj1oC99OrbBz03K874ot2HtecqEMDfOdcOkX7FBAJ6XjckJKVi4TtcJb+HL0CFEwYiub0qnNpVf80jIATAQTxedHxzooHf09Sc8RR+m4FH7stOX9Wm6Fn4iyEd6fFPEVnJ+P0smDZqMWdW5A+cYZ0KGFT0TLiOgeItoX/l/qOHaSiJ4goo92cs8ikByF9n5pSnOjXkONAoUv5YVPhJrlsPB1YzIpCJdSmRMsWyC2iLihpy4r32krj6K4lLQ2JAWb5vD18cl7NOs1XH/hBtGayrLwJywLX5rpDDD+FdESj7c5Xw3H4bsWhYknCJZH6bRaegGY9D1ialKi3/JROpGFL1jGuvN9JorDT8uir3Fshk+VoetImoFrniOtaeuarGju63TB8UaNos5ty+pJ7Nq8sqPr5UGn5t9NAL6plNoE4Jvhbwm3AfhWh/crhMxcOWGRq0cP1tmcExVnIpGaPe2f+SD0vZQRApAcEtsWfvCfn5koc41VcfjusMz0MRGidQh4S9dWvDG1Vewj4xLdmdDv9RkhMkRKGxDIpJWLrTzclj8X756I8hGUVWkzbWuIUiu4wpftus+aaStROtLI1IyoAgQKzniHzYb8TUuL0ctpIMxRuMPC76ITvVmvRc964ws3DgSHfyWAO8LtOwBcxR1EROcBWAng6x3erxCSUQEODt+hFMcaNUzPtiKL/I7XPy+x32xAeVbfifwFho528bTKQenoxs8tsxYdU7KFn7Rgred3zCHQsCkdXZ9SfH7RVBEJC595z+OWkkmNOFwWvqBccuVryekANq9fVjbFwMns4PAlmoQLyyQSU1zHcyYkCz+bw88asen2lFb46XubYiQ4fKYjsa9vX6sdjBmUjjRTvNvoVOGvVEodCLd/iUCpJ0BENQAfBvDOrIsR0ZuI6D4iuu/QoUMdimYpfMckDVePPtaoYXquFaVj3Xnq8sR+1xCvznyosYVvHOeYzKGPczkcpQgVIE4eVhZclim3QIYNu87MtYJN6BHRvIIdWFJBpM+NLXw9u5OnLThZZb7YOF+ccJaUwxmpxYwUuwmiYOW3rCgdm4qJo8T4jt6WV0dMSaPOLH9KcEz8DtkOoV5j941njKy5KB0OeaN08qBZJ0Phl++wBXI4bYnoGwBWMbtuMX8opRQRcZrnLQDuVko9kcVBKqU+AeATALB9+3ZZi+VEVtxv7LR1UTrBOpuad02FmhmNxrYgo+X3mAgApcyGx1uBiWsxjWtCUzoOha+jWMqCFPVg/uYsa/3h2R2crh+Jw5emqktITJJzWfgSpeMYJUpUi5RqgMvXEp8jt4HYwi9HKeT9TqSOjR/hpEcLcd6jDIXvsPCTlA7n1OXpp0jhCyNrKfmgDcm53g6a9Rqe6TeFr5R6ibSPiJ4iotVKqQNEtBrAQeawHQAuIqK3AFgIYIyInlVKufj+riBr0kqW0xYIGunUXAtTs3N8HHcjrcyj6zOUhm5jCQvfYflJ1wZiC3+O4fBfee5afPkHT2LFonH+gl2CK7aai322YXdk+rf9ttp1QpsjnHwcvkzP5F5sI0FzGds5OkeAoyO0hV0SpWNFBaX2C6GyYqK7GoA5ZpJcWP8ShUpEGGvUciv8cWZ/MxohJvfpe5r+rkRIcYavJ76+W6cUQbMeUzque3YTnd7lLgDXhdvXAfiqfYBS6hql1MlKqfUIaJ07q1D2gN2DM40jD4dfDzj86dmWM7eHPjaxj+GjtQKRLA37g1M5nLbcLNPbX3U27n/PJaWF8mk400JEvHtaBum5pM5h99ZgkFk0wZT5TrgOO4oMEZSMK3dKTbC8JWvd5fBL5s/hr1eWhe9axCZxf2sfCdSNlONJvwuXNTtu8NospdN0Uzra6pcsfHMwbMpnHu8yUIgZrbeLZp2M8OnB4PD/FMAlRLQPwEvC3yCi7UT0yU6F6xRZHH6WxQEEDWxqtpVa2jC6hsMykBKBAbalETu67KG+pj54PpOnP4Lja1i2oPz82hIPGvyOZZHPt6xATXlZx71j1ybc/faLcPqqRYXkMz9QbnSgyyRKR1pQ3NyXtnB5he8acTrj/QXF2i0kRiEOhW9TslnOXCks0x0VVxM7X71fg3OuaiNOMiSUZOEzyj/LWOqGha9RlYXfURyQUurXAHYx5fcBeANT/hkAn+nknkWQxU3qXtXVu47Xa5iencPUTIvl+l1x+FxY5qknLgQA7Np8YupYbiF06dqm3GWF6+VBwoklRnFwHH54jkDp2G6JWo2wZQ2/zGJecIms9Iem4/BTlI7DaaufN7UwujRl39E5urhhTQWVFaWT18K390iUnRRCmxWlAwRtenp2mr2ulk9PROOc8BGlY91Dtycp789Yw9wOzn3BKSeIctrXagfNjNFnGRjqmbZZlkuWE0kfc3R6FlOChZ+M0uGH4qbS2LpmMR68dXdqycBgsQV+xSFAcNqGHZBrxm3ZMJW5lE3S9WFITlslZUPrAJzCz3IUJn0UPC8sJc2zt5McvtVWTMPBslxdM5a7gWRIaPoesYWfLBdTWQvRO1mZTQHLgmfaNRFhvFHD8ZkWb+ELlI7+PWOkI5bCtscbdXztbTuxYfkCWVB0TrH1wsKv5i49Qj1hNcnDw6wh5lTE4XMWhUkZyFyuCWl9WCCt2HV0yqLx9DnLF41j/lgdf3jJaeL1yoZrBSAXpaUVetHsl52AC+nUFmPEG1ttwXynttM0UvguC1/i8K0q4SK5NFRUXhalI9NJZlk6x3zw3+5IJd+NrieXwh9LUDb8d6lHti6K1a7DM1YFo8MdhtVODrruzLWLM/PTd2rhm6MKb+F3AS7+FchePEMfMz3bwpSQbdFsNLZC0ffMo7w0V28rR335hUxqh8mJJn78x5eWNuU+DxoJC5i39FzfheQk5WYPdwpuMQq9HOSRMEOjpKQC2XgnZMoiF3xH0qpW9jkpha/4c7qFvJSOrYC1tWyHykb+KDsOP4dSSzhlhefV74gfcfP01+mrFuG7794lRq2144B1hXPnQcMR0l0WhtrCNyvRlQUwa4gZWPh8dj4TtlNQN9gi9IQt5/UXbgAALF/IO2B7qewBd5gaFxlhw35eKQ6/G5g3JlmMRihgKqWDbDRIFr7E++edeGVfz+W47wYy04gLYaFTM0EnaRs6UgRWROlwaweGyKJ0ACMxIKNw9T25zuDEyQnxe2nHWu80T1WSw68mSmeoLXyz8XANOY+u1Bb+9Gwrc4hnUzq6weZR94pxKgHADTs34IadG3JcoTeQ1ggFYsuPS/1QC6fzS5x5Gbnf5zX59xdQdTylY0LqnFJhmUI4MBGhUSN2oRGTw7cNC03rVRGl48oqaz+nThVuKz4SqLw8Vqy5QJDU6c+Es94XMjRn/E6K1VU7fPxEh0p6rMEbBmViqC180wJwObxcBrhOniZROiZSFn5k0WRDi8A5zfoZ0kLQQGz5cakfGsLQWwr16wak5ebyWJUAE1cutIeEArWjcaKQPz6iK5BBuG4FcfhF0mDodYDt70JfIh1yW0/s56Cv1azXRGtcr0C3gFkhql3F6Zp8KaFTJR2NRhrys3Ybg6VdCsIcJrUb0jbRDCICpIlXyWN5SifXUCI6p7cUTVHUHVREpPDnkovGAPGwfL5ldWvuvpsW/sYw2mLV4gl2f0LhOwwDaTKPjUSwQCpUN6SsbKetI/wzSqBXwUxbbhRxPKRu7PerFW/eNQ2iVCYZ2WkB97NqA4LLLtmu4iyiH85Zt6Sje2lohV+VwxYYckonqyFrPeRSLhPN2MLPsgJsLlM78/J8p/qjLntmbLdhNnq7Q5wY0wo/beHrZHRLFiSH5UvnB76KrR3G3Jv4+zc8H48dOiKnuDac91xqAQ1pur4NF0UiWfh5onSqyKXDU5/akZ4s18pZdwga8aplvGN6mmkP8TWDc1z8uKYIXRRrUZ9/EbrsSzfuwP8dmy52Awa9UPhDbeGb4Bry08eCDIlL5sthkuONGloKODo9m+lYSVn4Ogwth3xx6N3gvhK74caUTtrC37stWKFqkfXRnr9+KT79uvNxw0Xd81usWTIPOzctF/drxZ2VmE2aFWwjkWpXoG7sUxMjJZvDV9U5bTlLd++2tbj4tBV482+dkijXkwc3hZMJ7evZ9XX2SYsBAFc+d40oi6Zh8/D9nIWv69GVMpxDEWt9rFHDiYv40WIRuKKNysJQW/gmOOvoxhduxM9+cwSv3r5OPE8r8cPHZnNQOvzwPQ89EYfeDZaFb0KidLiP7/a9Z+G9V2xJfWhEhBedcWLq+DKhOyqJ49eQonRsuCzmiNJxRAPJYZnlUzpc6OeS+WO401oHAgBedvYavOCU5akUHhGHbz3HyskJPPaBPc5RVDz7vT2Fr+uqhGkcXYfk9C8Tg2tOFgT3Ma+cnMAnrzsfi+c5LPxQaU3PZXP4dipi3QEUiSkvKxKjCkhLAHLD80a95qz3KjEWKfysiTZ8RJGtXZL0DF8nYw5rXVxXoYI4/KJpOrh8TZKFD/DZOE1oRe8aTf/RSzdjolnDSUvTC9drf9EgGE4RA1ChqCOj8NulShLpWAWF/6pwAe3FFjWkFV0RB2SVvX3Z0BzrhcVwB7oAAAoaSURBVKfKdEo/QI9EshZXkXLD2EispZwKO6Xwv/yeUzN3o5w1VVj4nd8jtvCLXytPgrU3XLQRD992OfutXHXuWqxYNI6rz5dH7f2C+Y6w5bIwMpROuzCtU6kRfnDv2Xj/K85MlWtFX2TRjkG28G1sWL4AX3vbTpxRMMNl1ZgXWvZZlI6tpHUHoSwTP1due2fOdZ7SyRqBtAtTxG4kaJPSI+eBNqqyRgIS1i2bj+/dIi7hkcItezZ3xQHbDuY7ghrKwtArfD3RpV1MGB+my6Ibr6WVxbaTl+D6C9fjjRdtzH2/sjIi9gpnrl3caxEyMV9b+BkKf9KioMT24HCCaiXotPAbtsKXwxC7AWkB9nahr9CO8VLVjFONN16c/9vsNvQIuBP9VBRDr/C/9OYdHaUPNnN7FF1PtVGv4X1XbC10ziBwjzb+410vKiX3TVXQij7Lwl9g7dd5WbadvDRR7loWUY8GXBy+TR3qNlia07YDDp+DVmBFl6MEOs9PM0jIam9lYOgVvv0xFoVp4RdV+O2gLMdcmVi3bH6vRegIWjFJcd1/cuVWfO7en6Uiik5ZsRD/9PadOH1lkrJKZHxMTaLS5Y4UDta+P/+dc/CBu3+CjSvc6XrbRbc5fO04bUvhVxiT3mvE7c1b+H0Dk8NvpwEXxbBROoMATelMCmmrr92xHtfuWM/u27omTVll5XACeIX/sWu2Yf/BZ1Pl56xbgi/duIO9TjeQFYdfFNrCb8eCrZrS6SW8hd+HMIeYVTTGYXLaDgq0fcXlZmkHppEgLYrDOW0vP2t1V+5fFNJCIO1iy5pJHHzkUOH1hwFjdDTAFGFe6GisKgxJDa/wM2BmxKvEwh9ASmfQoZc35JbMawemwpeSp433UfitKUo3KJW/umYbvvXTQ21RfXkWJRoWrF++AC9/7hq87cWnVnbP4a/VDjHRgdO2HXhKp3pcsnklAODCU91rmOaFOeNammnLLc/XK5iUTqc53oEgfPSyM9sbrUjr5A4jmvUaPvKac7FpZXVhy97Cz4Bp1Veh8HvB6406tq9fhn3vv7xrSsak/mxHb6MPFVpiPdceR8noUcHuLSt7Ksewwiv8DJjJvaQVk7qJExbwS7B5lItuKmBXpEsjx0zbqtHswdqqEk5ZsRD3vnsXTmBSNnh0jv5pdX0Kc1JKmU7bv37tebj4tBWVOnA8qkc88ap/KB2z86kyc6OElZMTQ5VipJ/gLfwCsHPldBOXbl2FS7euKu36Hv0Bbf271nWtGqaS7/UayR7lwnejBWDnbvfwKAqdXdJO09BL9BO95FEuvAbLgbe+6FT84ulj3vrxyI3brjoTqyfTi2TcvOcMnL9+GbadvKQHUvEYhRBIjwBe4efAOy89vdcieAwYXnvBc9jyExdN4Heff3LF0rjRT/4Ej3Lhu3YPjxGHt/BHB/5Ne3iMOEYpf82owyt8Dw8PjxGB5/A9PDzwoVedjbVL0mvEegwXvML38PDAq7f3/xqwHp3DUzoeHh4eIwKv8D08PDxGBF7he3h4eIwIvML38PDwGBF4he/h4eExIvAK38PDw2NE4BW+h4eHx4jAK3wPDw+PEQEppXotAwsiOgTgfzq4xHIAv+qSOGVjkGQFBkveQZIVGCx5B0lWYLDk7UTW5yilVnA7+lbhdwoiuk8ptb3XcuTBIMkKDJa8gyQrMFjyDpKswGDJW5asntLx8PDwGBF4he/h4eExIhhmhf+JXgtQAIMkKzBY8g6SrMBgyTtIsgKDJW8psg4th+/h4eHhkcQwW/geHh4eHga8wvfw8PAYEQydwieiy4joESLaT0Q39YE864jo34jov4jox0T0+2H5rUT0JBE9EP7tMc65OZT/ESK6tAcyP05ED4Zy3ReWLSOie4hoX/h/aVhORPSRUN4fEdG2CuU83ai/B4joMBG9o5/qlog+RUQHiegho6xwXRLRdeHx+4jouorl/RARPRzK9BUiWhKWryeiY0Y9f9w457ywDe0Pn4kqkrXwu69CZwiyftGQ83EieiAsL69elVJD8wegDuBRABsBjAH4IYAtPZZpNYBt4fYiAD8FsAXArQDeyRy/JZR7HMCG8HnqFcv8OIDlVtkHAdwUbt8E4PZwew+AfwZAAC4AcG8P3/0vATynn+oWwMUAtgF4qN26BLAMwGPh/6Xh9tIK5d0NoBFu327Iu948zrrOd8NnoPCZLq9I1kLvviqdwclq7f8wgPeWXa/DZuE/D8B+pdRjSqlpAF8AcGUvBVJKHVBK3R9uPwPgJwDWOk65EsAXlFJTSqn/BrAfwXP1GlcCuCPcvgPAVUb5nSrAdwAsIaLVPZBvF4BHlVKu2dmV161S6lsAfsPIUaQuLwVwj1LqN0qp/wVwD4DLqpJXKfV1pdRs+PM7AE5yXSOUeVIp9R0VaKk7ET9jqbI6IL37SnSGS9bQSv9tAJ93XaMb9TpsCn8tgJ8bv5+AW7lWCiJaD+BcAPeGRW8Nh8mf0sN69MczKABfJ6LvE9GbwrKVSqkD4fYvAawMt/tBXgC4GskPpl/rFihel/0iNwC8HoFlqbGBiH5ARP9ORBeFZWsRyKhRtbxF3n0/1O1FAJ5SSu0zykqp12FT+H0LIloI4B8BvEMpdRjAxwCcAuAcAAcQDOn6BTuVUtsAXA7g94joYnNnaF30TTwvEY0BeDmAfwiL+rluE+i3unSBiG4BMAvgs2HRAQAnK6XOBfAHAD5HRJO9ki/EwLx7A69B0lgprV6HTeE/CWCd8fuksKynIKImAmX/WaXUlwFAKfWUUmpOKdUC8DeIqYWeP4NS6snw/0EAXwlle0pTNeH/g+HhPZcXQcd0v1LqKaC/6zZE0brsudxE9DoALwNwTdhJIaRHfh1ufx8BF35aKJtJ+1Qmbxvvvqd1S0QNAK8E8EVdVma9DpvC/x6ATUS0IbT6rgZwVy8FCvm5vwXwE6XUnxnlJs/9CgDae38XgKuJaJyINgDYhMBRU5W8C4hokd5G4LB7KJRLR4dcB+CrhrzXhhEmFwB42qArqkLCQurXujVQtC7/BcBuIloaUhS7w7JKQESXAXgXgJcrpY4a5SuIqB5ub0RQn4+FMh8mogvC9n+t8Yxly1r03fdaZ7wEwMNKqYiqKbVeu+2N7vUfgkiHnyLoFW/pA3l2Ihiy/wjAA+HfHgB/B+DBsPwuAKuNc24J5X8EJUQ3ZMi7EUGkwg8B/FjXIYATAHwTwD4A3wCwLCwnAH8ZyvsggO0Vy7sAwK8BLDbK+qZuEXREBwDMIOBcb2inLhFw5/vDv+srlnc/Ap5bt9+Ph8fuDdvIAwDuB3CFcZ3tCJTtowA+inBWfwWyFn73VegMTtaw/DMA3mwdW1q9+tQKHh4eHiOCYaN0PDw8PDwEeIXv4eHhMSLwCt/Dw8NjROAVvoeHh8eIwCt8Dw8PjxGBV/geHh4eIwKv8D08PDxGBP8P0WD8TXsQtdAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YG74x6VQWLvDlUTkX9FHKQy7vqCbUKBPE5cREywxJuy3w84w5vrnLbjjZVfAzQ2q1bdl88EURCaXhx56qly7pJACgJRP/O9YWRZgDjLyvKFzgy6YbLnuLUbichZbOM8I9JJtnSCWjpxc3RsMPCdcSUvLimRKkaLwLr4KvKWYIGxUu8FsznXuzj2I+pZH3/sxeuRW/enphbM/jIRRk7Zo5Gn445q/Zrg3DELYJ14hFp74EPmMM1z+5ALNXbg11fTaXx2+e+RDbmjOOSSctOVOryjFoyTan0l46lah0Kfv71OLuTo/PXo0v3vpGLM+KZMPnAsYY8X353M2v49aXP47N3p1IaAR+xOec9MfXcP2TCwBEC3lci6VdVwK/PZfHHa8uwZdvfzPU9U/PW4ebXlqM659c4Jh05NWSqroZVpOOtf0rkpQbTiWUDJ5GLQam+sGDs0Ob3YIozoYfDxOufQ43vbgopqfVHnFVHT4Yl9tjvogOuNRRQq24TdeVwOdaZ5dUuNfmrleZXF6rpeUVBa+qsOXWrlWPl9P84wvlFxKFTqY2Knjc8PIvpgHH1cF/srMdv3n2IwDAiGlPxGoGqQXimuDk0Unl53FHu2KKo1D+7t9BGJNOFdhlC/yuDeFmT/JCDBSdL7XSpBOydOOsBKWMNOKkRup12Ymk4SOaNhg+D9Zzb33544ArK8Oarepw39wcGpa46m1CY8PPxzjk8n2EcLJW2kVdCfwW2/+9qUHtnPTOss3Y1ZZ1fjtxzJNUmNmX7lHZG//nodmemBsqRUBXCT7euBPXPTE/2uIexdOqUckcN9VaqeFlIopQiurRERZZkC3ZuBMPvr0i1jTC8vbSzfjUDS/isffcoUduf+VjjL3yKewU2lUQcWn4skdNnERdTGf88KtAe9b66Kqdh1ozOXzptjdxnrC0Opcv2O11DVx19KkP1uHyR+a4rwthY+ecfdfb+PNrSz0rBP1QPz/07bFT7qQ3bG91FrBVkmKESJzlIDoEyO6Gp938Oqb9a25VhMsCe1cnecHd9PfXAAAW+cSVl50c/FbAbtnVjmmPzCnJC0xlho1KQcHSP0U8Uxvivs4EPi9o1QpXrs2/LcTdcMLaEuknejQlWYrXDBdkDSHnGnTZqM5EkZVmuYXOxOtfwOduft2dcmhTWmW/S8HeW/qzRGEoLfrGjlar3lRjkU9hjst9nO8B4Dci8vjJ++T/d899hAffWYl/lLB5UMEPP3qBOLdE/MQ1ouDXl8DnDUFV0CohkHNs+Amtp4VOqIb1i39rySZPA+WTxVGqoyr/1ahklUzzo/XuMBZh044jj9E0fK5Rli7xcz4aPq/WmVzlC55nS1amwuRErv9+HRaLoFDovnZe0zlFIcziLZecMQK/8uQcDd97TlUebhu+upLo6l0YgTBj6Wacccdb+JPkYteazWnzpKNWNIhK+Oj88KHZvmlHYVtzBqOueAKvLYq2u1qU0VOc30J0d5UFI18D0R5xkjQOtO/ImPiPEo/A97mYdyil1PdS7r379WV47L3VkSfijVtmFeBDRZVJx8/LhUh0tQz2wwfCFfD67ZaNfpFGUy3VW6Gzavj/ek+9d05ok47w97w125BnwC0vRfN0ifSeESf4AKA9m8e2lozneE7Q3uX35WtEonrFxInO4ulnZfKadHye7zyv+IoW1Yde5pKHZkcOz1ArClldCfycI/AVJwMKRFfBCi5e4ToCEX6LtvKWODEYVqt4bdFGzFiyKXxifvlwhtyxPC4SYU3XoqAsNq5KNHkfXcBccO9MHPDzZz3HxWitXg3fas5ysLBKoOtsC15b+jzJNns5Iq0IFaHhy+2gFBu+88wQZroatOjUp8BXFbRK6IqFqZuU0hVkFA1E35l4j9375jKMmPaEYrm492L1AjDr4M0vLXYW7Hz9rrfxlTveCp1fP6rrGRRdwy82dHG54+G/+pHaxORnw68JDV8SgLxu+3XG8qpsXw1fiE78yLurMPUP+k3Gdd87TNv0K1+ijuuWWVfRMnU2/NZMLtDuqVudV4pyzhuHrjGoBNhVj1s7bmVyeSQT1gKyf767Cv+YudJ7v2Yilwi48ZkPAQCXTx0XIqfhCaPRqe9jaM/l0VhCSMFiJm11k42Bz4h0tUUck7aicJQFY1Vt+M53VB+PouHzdvreii0YO6gHujcWxBT/howxXPqP90vKq19p+HVQKXEhZtg0Q15XbupSw5cb97ifPo3Drn/B9179zL7/UNaPgk93eA1fxf/+433MWOrdu1N1e6VW30ZN5Z43lmGvnzyNDdvDrz0oFrEjjd4xuf8Nl55FLG6ZITT8aph0tE4Nznn9vfJ75PIMze1ZnH7LG7job++6zqnWQRSjXKjyqrpGhbgux88s5PLDrxGJX1cC3/HDVxrxg+61/pULTu+lE8WkE/0ZYR6vnogOmakicYRpxHQem20t0FmlWZ4fKu0iNHz+p6wEzF+zXWka8YsV9OpHG/Fve6GRSBxugJycS8OvHZNOoVOT57K4SUdfOKoNSvirvbfCvZAr4Zh0xE47IG/SeZ0DhvoaL0ki3PLyYv9EIe14VSM6fl0JfN4OkiFbnkoT9GyXpr03mCCPA7+KHEpTVwr88la8oh9foucEUFyjUml725ozOOmPr+F/FO6fjriXkmrP5nH2X97GxQ+857mnlE5W7vT93DKTVTTpBOFX7+RzuTxz6oFs31dN2kat06p5G/k7Bz3z4ZkRF37VhryvN4HPNfxo9xEKsXS8YVLV94SqgxRgwy9R4Cvj61So4lWjfhcjWFW22LactQ7iP3PWKm5w/eMgxv+fs2orRkx7orBZfYjhvw75nVwavlSYfFVrNUw6hUWKam+1SH74eSaYgiSBz58rHIta7qq4WGFH7nLaYpG+sfgTfKQJIbG9NYu2bPX3iKgrge8XWiHsvWG8Y8TrnesUNeh9eyMWvQ3fTyvS57WQpvqZcblgApZL54hpTzixUortUHQmgUjPCOuHz7x/i3UiTGOXrxGVCG7W4Yu5dIH3RFozOVz1+Ace33u5vokui//zcGHS8o2PP0F7thDOW8UHq7eVzVuEx7ZplMKB8PbhG1pBEc2Sadob/4ji83TP1tUllYlNfoLfaFFMTnzGmXfOwAm/f9UpBzH143/3Cs6IyROuFGIR+EQ0lYg+JKLFRDRNcf5cItpIRLPt/y6II92o+Lll+sHAnEqiswfKT5y3Zjs27Ag3AalrCx/6BJwKo0KrGkKeMZcLZtjduXQ8OXcdgEIMoihL30Wiej0onxH6Oq+wEKuE79J+pn4/8Ra+SX2THYY7zLf416zVuPfN5fiN7T0l50+Vt/eFndvO/PMMrLbnP1QmndcXf4JT/vRf/H1G8dE0Z63Yglc07qJ8n2bZy4pnN+qkbUHDd19b8NIpHIvah6l86L2bpOjvDxpdf+2uGcrj761Q77S3eMNOvLhwve8z46JkgU9ESQA3AzgRwD4AvkpE+ygufYgxdqD9352lplsMBQ0/3PVuP3zrX7ly+jXmHzxQsAH7dTI6beJbkoeCSDiTjuo+92+/ZexhkL0mitfwvYI38jNCpq1yyxS7Gv9YLu5/C88sHGlx9l2w3Am5hUU2d4jwU/Kw36vhB7+kyqSzeovVGczWCB0/7puxHN+7fxY+f8sbOOcvbyuvabM1fN0rRtHwc3mmLUtV/cgzhkXrdzgRO4PQjXz9frvuF/OjUFHeVnjM+XH8717BN+6ZGemeYonDD38igMWMsSUAQEQPAjgNwPwYnh0rvCGUYtJpjrBX6462wvA87qF0uMUjqmN6jbEYdMEDoz61oOGXIvGjX6ZSAorxgBI/Y5utYfNopzzMtl+9S2ns7yrtNwiVSacxbT2/tQg78pWPfhCcpp0vT0A3+1+/+q8S+G9+rDY7qr5gnjF85vfWAqxlN5zsOS+nrFpd7bHh+8x7i+/S0bYpjsOkszsAcdXPKvuYzBeIaA4R/ZOIhuoeRkQXEtFMIpq5cWO0gFY68nmGJ+eu9Q+tEPQMRX294l9z8YMH1YG8gMJS9yDkyiZWomwuj4Xrtrvs5EA42RZm0rbUvWcLwayYK19BQnNXWxZZQTAxRSOMSvidxgrXZR0zX+G836inMJLRa4RM6kScMNs+FY/v0ZCRysMTdiDEhGwml8fKzc0YMe0JzF21DQDQJW2ZWtoy5fXg0dVlX5NOnrni2+cYw0V/945uV21pxi2K3b2i1mBVPHyPwA9rw7f/VXWytdgZVGrS9t8ARjDG9gfwHIC/6i5kjN3BGJvAGJswYMCAWBK/981l+M59s/DPWZYrVeh9KAMW6DwQsLsQn7wJTEc9LwUAaM3m8Z/3LW+Rpz9Y5xyPyy2zVA2fyzAumAqC398OPv5nz7gmHeMg7Jus29bq5PcZ+5uK2ndO0QkU0nB3bBy/0Bx5jcAX61QhDo67zkQJHczJ5Jhja7//7eWB18dJcQ4IzJkDAPShFfgqc0+aAc3M64HDy9cqj4/W78CP/umui1Ft+KVsyFJJ4hD4qwGIGvse9jEHxtgmxlib/fNOAIfEkG5olm+2thvctNPKQjEafjEWmRWbC9sc+nt+6E+2ZnJKLalIee/r5vfiwvV4RLOxRCaXxx+e/8izyxRvNC2ZPK6ePg/bW4N3odrSbJm6xEVKcRi8VMLm4F88hzP/7PaO+MzvX8Wtr3wMxhiemGt1pqJwF0dSu9qyOOKXLzieTaq5ilc+2og3FhdMELpRlGzSEcsiZWv4nrgynmcFKxGZXB4NtonogbdX4shfvagNfRA3uklW31g6OebSkOUR1i+fWgDGGF5cuEGTpvrhBXOj+7x8+ffun+VxwfXroIb2bfIca1EK/NpT8eOw4b8DYCwRjYQl6M8AcKZ4ARENYYzxL3oqgAUxpBsarj1wLSqqDZ9ARU1ujhrQLdR13mFwITqTJfB5oylcWA4bPp84+sIhe3jue+idlfjD84vQns3jMiH+Dv+U/5i5Eks+2YXZjqupN+0drRn8891VOHm/Idp8lTLVobp18652vKGwB7+2aKPLy0WcO/j2fbOcvz9avwNrt7Xi+icX4PHvHSlM2jJMf38NPtnRhmv+456uks1TOq3creFbF7dmcrjkwcLiLdnjJqwNf/2uduf3qi0tocIJcOat2YbbX1mC33/lQF8zlAqP33xA+BDAEvCiwJfNWLe/sgTD++rbUlBb8JtvAQrmLk57Nu/7zPG79cRyac9qlamsU5p0GGNZAN8D8AwsQf4wY2weEV1DRKfal32fiOYR0fsAvg/g3FLTjYJcgcIKfLHMizF9HD6qn/O3X5Izlm7WmocyOVZYTu6yEwenrxo5FDMJCBS2XZTNVAmpM3IPzZnL6+Tn/56Pn/97Pl7WuPaJz4nKSx9uwM4QowvOtpYsnp1fcIUjAuau2oaJ1z3vHGMM+M2zlpvkDr4Jt6Dhf/+B9zzC3rrEbSPWfWPxMA/38eG6HU6YCQD4yaNzXfeEmXNpz+bxh+fdm+rwcn9mXrD733fvm4Xp76/B8k27Aq/lBHlp+Zp08kAmWziv+l5+Ls4rt/iH45Dbv+yKKwv8ix+Y5TvkdC9+s/4VNfxDR/TxzU81icWGzxh7kjG2J2NsNGPsOvvYVYyx6fbfVzDGxjPGDmCMHcsYWxhHumHhKxC58Anb83KBwMACBaPSXcy+Z9ojc/CbZz/yvf+Kf1kNe83WFlda7dl8wfdYfHYIwajK8q4299AzjIkAEMJSSBvA819c8HMbNIP1Tnv95Gnn2q22KadF4enEX6cYgb92WwvOu/sdfP9Bb1gDzs42d2cga5xEhJteWoQNO9pcx1+3TTWt7XwXMrUNX4Ws4XtMC8Jv/h27NriFz0sfujvHMB20qlOIorA44QtC31G4evHGncqzftUsm8+7RjKq0XSrz2SzvLexOmdCXgIE/jPz1geaoDhcGRNt+PLzaom6WGnLBT6vNGGGqZt2trmG/MVo+PyWB9/xhi7W8akbXnT9zuTygoZfOB7OddB70dbmdtdvVUPM5xk+f8vreOidwqiDuxbKcYi4ZqoyXzwkhWyWvVZceXVWZKrexB9+jxPKQEHQZCjBf+TH31PnpSMia7tOWp7JQ++9unq2cnMzjvr1iyP0LWUAACAASURBVJ7d0VRkFM4CUfa5LbhShr7FqUdPzFmLOasEU5nCHOm5N8CkE3S/FsWq3LD43SPb63N55lJiinWEqETM/LoQ+HxCjGv4YUw6QUvcwxBHoLK2bL4gTGOw4cvrCFQa/vy12zFrxVZc/kjBnOBo+FJnyfPGG7aTRyFt3oALnQL3S7d+Pz9/vbMheTGVntu/5Y7EFUpYOie70SXIP4oqf++CDV+PLN91ZhiXex//fpprH5+9Gis3t+Cvby7zSdlC5SKYE8o58BsX49QgfJFlkn3bSlN/by7vzrPqexVlD3dGje7DBbdMt0ux6hoVYhtatqkZo3/8pDOCbEgmCq6+UbNbfnlfHwKfo4uHr8IlGFlxK1Lj6LHbs3mlh0Wxj27LBk8CrrGX6I/sX5go4+/vEfh2teZH+XBXFAA6zxMu5LidXDwXBV3jHP3jJ52/ZQ1X/p1IkL+GL603iBLaomDSUZ8HCp2i/K34xH+TvWpXpb3LyL78Vh4Kf4evO+ELQ0xSHE2Rc17/rFw+79bwVQK4iIrh3CGvmeCbGSlGzppbXKhMkjvs+aNujcmiw5WUuuo9DHUh8OXJszCOBzuECUCG4jT8qHeoKkoml3cakyiQitXwua3x8wdba+OU9lJbqCz9ZJfjyqoz6XDB7qwUta8THytrVPK37Nk17bnWeka4LximaGStVxVvxq9eiFvrWf/6Jeo2T/Fv7LdY67x73rGOSS8zedxAV7phhIKqU4ji4VWUSUe4WOy0wiy8yuYZ2gMmbWVFxTcveYYfPzoXH67b4Un72XnrPDtlRYkqO3Zgd+xq9zoH8GPdGlPKxXxhKHVNTBjqQuDzGhylIHa0Fkw6+XzwpK2KqCadSxTx10UXMXHUESY7qorMG05Xe2JJtXKzTbBRfsd2UeTy0WP2sG/nZhXVd2rN5HDna0scYeWYeOzz3GcckAWT8rU8hOkYvPumen/77ZOQdDR8uP5VwW28TsRH6Rv/Z84ajJj2hGcCHfAKdD4S0UaPVCDO+3BcHWnA/cVM2orZVtUpVVvgeVy3rdXth6+pQ2FZ8sku3D9jhbP4TEz7QiE+1fJNzbj5pcWhYusAltyYOLKvUsPnx7o3pgoL9yIadSqxG119CHybKB90u6ThFxOCIOo+FNMVuyW15/JOY7/rv0uFM8Vp+Hweg3sSBGlTM5ZuxuuLP3E6D53ZIyHZ0cWn3vnaUlz7xAI8Z3s9caFW0JpFrb5w30MhJ7vDFKs8aeux9zP/Fdjye/ulyUeHvL4538S+5+aXrPAAHys8WuTOgZcP/zdMHc7kGRJE6N+9wTkmdnDyMzbuaHO5BRdjLhefKQpvPz/83k1W/jbvag806cheOv6dPPP55ebBd1aEFvgJIjQ1JJXxtPixboLAj4rR8IvkS7e9gbtfX+o5Ljc8P1qEYVuesaLscnFseCCadET8ssN9llWX8AUijoYfQpuaPtvbEXH43c7EqUK72+zxDHJrQOK8sdjQnp63DmEIIwRlE45Kw/cz6cgjG78UucBfv70N1z+5ALvsCT1+T6+ulj2eu6mKyBo+L5+sJPj9aG3PIZtn6NNUEPhiscif67x73sYV/5rr8XWPoiC5NHzRpOOz0pYJHaJbw/deK9dJ/9AH8m/9xT0a02qTjuLaBFkRUFWrapsVGn5UQnpIl0SnFPgL1+5whTWQY2iHKQ5Ry2UsWMNXyYo4AlW1aVb9+VXiide9gPdXblVrSlkeutcS+CqPDtle2rNr8IJsZwNtx4Yv2HRll0h+TqHh512CKVzDURWNR6PPqQWpkydbK9bhsWT55I0vTnt01mrc8eoST8fFY8arzBSecMj2e/D8h5El3GOkb7eCwPdbtDfPdmd1isV+1y27vB2SjrxPecvnC8esf9uzebQL5aOap5DrZJQtE4OqkV9nJEIgR1GSaW4vTNryNqCrTo/PXu0K31HIh9Hwi6JLQ9LVmOQPH+a7ulaMMlZUYcQRUKk9m1c2gCBtYNmmXcr3/PXTlkfMwB6NAMIJ/FRSX014w0j6uBV6hav1r2p9Af/OVz3+AV5b9Ik2XRFV2YgafTpJHvdTT1AyxkK5ZXL8agNPq0cXd0fJmBWbh3cIqnzL+Zq7epvrmWFQCXyxDK75z3zX6JNng9cFriB99c/hdmhqy+ZcHWrYSVtedzK5vGuiWTWajqLhezZFD+olFafFSWQRXVNobs+hMZVAKpEoeKFpkvvBg7OdcM4ilfDSiSOWTs3RJZ3wXZn3yKxVOGBoL5x9xAhlT84Yc01c5hkLFZZ2QI9GbBRWaqoDKkUjk8srBTcDQzaX96wX4Fg2en2eh9kBoJQC39O4vA2IyLJ581NJHxu+N+KjW7CIj+flce+by5X5Vu0ZqipDMQREt8aUxw1TblyBJh1Ja7jj1SXaa3XuvwxWlFCOHP5Ala+F63ZgzqqtkeaQdilszKLW/cDbKzB+t5742uHDXdfwbxTVu0RcTW2lJZp0LNTtjKebjzxp6zfCkhWWIGu/yqSj2zdANwrc3pJB98YUUgmvciGi2/MWMH74RdM1nVTOpIvwUKuqynXna0slDT/ccEvez7Mtm/ct4DC0ZvJKDeWFBRtw7t3v4JBrn1fcZVUevyxzrV0VwtnTYITn/OrphRj14ydx8h//a52zj/vtfKXT8Ims7d1ENzc/RfadZZtxgkIzUslC8R1SiYSnYxPLPZmwguNFMem8u3yL9tqC3d1fK+dbEoqoymzN1halmURHs63hHzi0t3NM7vBUo88oafiheu88Y/jy7W/ihqcWYntrxrWNYUaKlqlywYxi0pHLOs8Y7nl9KU76v9c81zKm3l1L1S4YmHaV/vbWDHp2TSORIGfiXeUEcPH97vAfblOb0fCLoks6GXpnH5WweHvZZuzeu6vzmzEWakgtl1c2z5QCKgpbW9qVQ73fPecfm6c9l/fVbNLO6mPve8khkBljHhez+dJ2cn51VfY84U29uT2H43/3iuucX0N+b4VayCpNOvZ7NTUkA0doXVIJ24avvSRShFX+vnJHV2x7ZixaaAQ+gTioZxdcPnUcfvX0wlDrEPgxUVAVMwHpyqsTWsHa+u/tpZvx8MyVGDOgu8ukI9rw5foHlGbSufv1Zb75VT1Kt5eFTuBva8miRxeu4eszJ+9TLVoEKqDgd04Nf3tLBi9/uNH5mH4NTSUs2rJ5j40zjPLj3VykdI1py672UOYkmdZMzve9nYByCtPX9hZ3g/NrXIWJcP1FUQSfX1q6SXDVZ+bl19SQQlYyGch0bUghH2DDTyQIX7n9TX3mBDJ2hmQhze3xxRBF8HJTYjqZcGzOchlkFDZqXs/Er+D33dYoRihWXv1X2m7e1Y63l212ylo26ahG57KJ1k8xiDLfYY2Evc/Svbeu42/LWDb8ZIJCWQNG2yuo5bnCctMpBT6P5XHPG0sB+A+VlAI/k3MJlzxjoYS3/KxiBLVMSyYfqQJzrp4+TyuEf/3F/QsB5RQjIXEvXsB+L40sdKJHKpKSY+dw/N5HV1bLN+3SCmQ/v23La4L5al09u6QCvXTArDUJYeBpy+/tZwbyg0H9zY4c0x/fPGqk5zh3A00lC+EiZI21Pacw6SjS8BP4n7rhRc3qcL293nUMXMNnrklbVZqt2Ry6pAviStekWcj5NjEPqqqhNOkwvYafyeeRIEIyQMPnfLxxF0ZMewIbdxY0/Aq44XdOgc/ZbLuV+X1HpfcA5J43rIbv/l3qfrEA0C55QISluT2ntYd/ecJQZ3Wrypa7o1U26UD7EXnD842VIp3y01Z1p4658eVIZhVunmhqSHn8vGV6dEkhn/cPrfD2snDCXiSO8geALc3qUd6FR49yFi+J8LrbkEw46yO8cxjedLhniviZg0xJKnOj2HE4XjqKb6HT8NsVabZmco47q+55APDbZz/CwnX6qKkqlCYdTX3RrcbOZBlSSUvg5wImv8UFcWKEVxMts0S4t4mucuR0IROYZRIYv1tP7NGnaygN3/JYkTX80k06mZy/duqHnxBuSPmZdBQafmBa3mPOcF42J/gIEb+0VAJ52iNzlPfw0NbdGpLI5Zlvmt0aU8gxFnqv47DEMcIDgNte+djZilEkQf4B37gAAlQC31vuKv/xq6er95EtPEdvGpqzaitW2ZuTyPsMAHAkLffD53VSpV23ZvIupwhdk7jppcWBe0+4ssCgHC7ozIc6DT+bzyOZsDpYeSW5TP/ujc7fYt1tbs/hp499gPXb9Zu9lEqnFvg8aqCuclh2bu/J1Vtb8PyCDVi0YScStuthmLZbHg3f3/7sx9JP9DsW8UlbpUmnNYsxA7s7v3VCWOzQVJ0qF6CyqcBvfcJ/5qzBzS8tVp5TCbcH31mpLF++3qCrLfB1ne/tXz/E0sryxa2m9iMur5eVm1uUy/kTicIKZxXpZKIQ8sITssF7fSaXx3srtrhcfVXhPtzPUWn41rFTb3rdmUf721teN1terzK5vK3BWzZwXX3v3pjy3FsqusGrapU8g49JJ8eQJCCZSAS2e/G8+P2+e98s/O2t5bj3zWXBGS+STi3wuRajqxwtmZyywnJ3ufasFYSqWBt+lAh/Ov67+BMsXFeca+fFD+h3gEqn3JvCiGxvzaCnsGhI17Z2tRc6TL9FRPKnkzeMFnlm3nrc+MyHynNRbPh84rKbHVZY1ckQASfsM8iZaIt74UtcJh0dSSLfieZ0MuGYIDyhJRifeynksT3LcPotb2DlZv8tA0VU7xi2o+N3ZnIMm3a1o1+3BiRJL/B7NRWiqsZl/tC5Zeraru57Z3KWhp9MFOq9LniaGJhR7IgXbQje3KZUOrXAf3KufyyWlvac70TJ2UcMR4LItuGHMGtI1zS3hd9j1Y/FUkVo8Fn5GhY/G34mx5z464B+hLRLeD+/EVAmBm8lAEhqZJtf429qtOy+LYqOLZ1MgIiQpDJp+GUW+A2pRICGTz4avvX7fiFoWksmen1VtYtMnoUSyKJb5qadbejXvRGJhH6iuJcrjHbkrCohIt+osjJaG34uj2TC0vBz9vurLj10RB/XSLXcdUSmUwt8ALjuiflaYd2SyfkODc84dBjgaPhhKrD7t2rFYxzIC7yKQd720Xu+UCl1jbe5Pes0FT9hGVcUQL2Gr7/HT8NP289L2CaduDX8Yk1xYRFNNrrzXEB5bPj2u4qThlE2gedskQLjAdY6hI0qm72EOGm7tTmD3l3TSBJphe2QXl2Ee+MpK4LOrVflpcO0oRUyOYZUotAB6+pkWnpAJVwxRTq9wP/za0sxY+km5TlLw9d/8DR3a2PheuJKFV5jDJskJxPWhJ5ugVoyUagaOoG9s63g6+8n1OOavNTh19l076IX+F3tziBJtkknZvlc6ntPHT8Ynz1gN+35hlTCN4Z/Wpy0lb4R/2ZbWzKOkNqpiM8fxOTfvuI5ls3nlauIdbRmrBAhvbqmkUyQdtHTHn2anL/jUoyj2PAB/wV4vE0BetfjVDLhMvSUu23IdHqBD+g/qs6Gz0klE0iQjzePRKVGZ2F27ApDQzLhiZvDEU0F2bw6eNyutqyw+Xj5NXzdc1QxaTh9bbdFlcDnwc3KNWlb6nsnEv7mu3QyyKRTGAHIu2BxBWb9tlYMteMq7WwLHx3Tj0xO7duuY0drBttbMujVlA49aRuXDT+vMT9FXWnLz/Hz+bx66UpDkqSVzOUdBcrEIvCJaCoRfUhEi4lomuJ8IxE9ZJ+fQUQj4kg3LPIwitPS7r8aNWXvc5oLadKplIa/eZd3GC2y16AeoZ6TTuqHz8kk4f4LDgOgj8nvsuH7fJ+4TBu6JN5coh7BAaIN3yvwuQBJJOx5mtgnbUt7byLyFehhJm11fvi8c9vWksEA203whQUbSsovJyNs2hOG7a1Z7GjLOhq+zoW2W8xeOsfvPUj7HKVJB8Eb3acEDV/l5ptKJFymKdX+w+UUIyULfCJKArgZwIkA9gHwVSLaR7rsfABbGGNjAPwewK9KTTcKuoansuGLPXg6mUAqScjbC3d8e3chcmS5GdK7i+/54/YeGOo5DamE1kUylSB8akx/7DWoB7I5tYa/sy0bauGVbhFLVIrR6ngDVM1V8NjmSXsUJ2r4fQSPkCi4XQeLeoRDIkCgMzDfDkFcaasKKAZYgo2bvXRabVSsbTmj39enqQEJHy+dbg3CwqsY2lqPLintc7R++AHbYPLvrVOAUknCzWcd7PxWB2krH3Fo+BMBLGaMLWGMtQN4EMBp0jWnAfir/fc/AUymuFe5+KCbmGxp95p0xN/WwhXLr7Ytm0cXabLUNdymymn4U8cPxt5DemrP60Y0qut034Z3bkk73KvK3PHDh993FtT4NcC4BEnY7/uXcyc4f/O5CFXHxhf6qCZtxTmMKDx44eG+52WbfL9uDXjk20coryX4m+96dkn7dgjdGlJOOcqrV9uyecxZtRXt2byjOTfE4AxgpeXetMevUxI5YGhvXxt+U8waPtkdvRgTiJefSklhzP9dGtOWgghYz1Vd2b0xhX7CPgWquYK4TYsicZTw7gDEzUdX2ceU1zDGsgC2AeinehgRXUhEM4lo5saNG4vKEN/cg6PTYv8+Yzl++dRC7XPSiYSj/bVl8s4+sBxXA2GVnXHfdze1wL/z7AnK4yqCNHzAMvv42WSX2Yu7/Ew6cewLAITX6kRdgr+HKg/cE6kwaRtdSMl0bfCfUJddS5MJwiHD+yqvJVJPEh4wtDdm/uR49OnWoM1njy4pdGtMFYKnSQLsqQ/W4dSbXse67a3obpu94lg3AnANv/AtR9mBwoIYO7A7EkTaEaGo4aua2sj+4dLhJOzV8eL+1Y3OCnTNpK1fB9tY6GB//u/5SiN+r6a0q0xVnVs5XTVrbtKWMXYHY2wCY2zCgAEDinrGw986AsfvPcj5rRM4763Y6mysrSKVJKRsv9q2bM5X4OuCMAHA6QfJ/Z+bo8b29z0vk8vD0SRkBvXsomwN6SThS4fsgRu/uL9wLBHopZNKJpDNq3fdAgqdnF9nF7Q3QVjCdqgE4L+XH4vXLjvWaYB+Gr4zacvco7tiSBDhp6fIFk3hvCQw/Ma5rZmc0ozYmEw4y/N1XiP8VXQmHRG+5kIn5KLSLm3aI67pkBHbaVND0qXhj5Y6iq4uk467Llw+dRy+edSoSPlM2mtsRHi8Hm0sHR+B370x5Zh8dCuUe3ZJu8pc1cmWczPzOAT+agBDhd972MeU1xBRCkAvAPqZthIZ0b8brjhpnPO7WJNCKklI2Cvn2rJ5NKbdn0v0Vfcro28d418Ro44MMrk8UhqTg+1F6oEx4MYvHYAvTSgUlZ9Jh2uOKXsSTWc//3ijpeH7DUPj0ljCDnWJCHv0acLQvk2FEBKahVcAn7SNR8NPEHD+kSO19/vZgGV0ZSMWvV9sF/G8XyyhxlQC6SShtUwavmjCkJkwoo/zN9nRJrmCJitYXdJJ/PUbE9Gj0Wt7//ak0c5cRFgSCW/b84sxBfi7ZTYkE74dAmDJDHEEqkpnxeZmrNtWnng6cQj8dwCMJaKRRNQA4AwA06VrpgM4x/77iwBeZGUODScuTooicMTyTCesPSpzjNvw9Rq+rlfu0ZgKjPIY9UsETSCHfV5DSu+WmXRMOglkc3nX4hTVhGYl9uMMbdIR/uYjlZ2KVc98DoavtBWVOr99fP3gZa0rcrnc/COHqkM2i529rmPhj9UtvBJpsPdiFevCpL2KG10DwKotLfjrG8uc335zSgkCXv3Rsbj/m4c5v1s1Ar9rOolj9hyAgT0blUpSOmInTeQNZeyYdLQjX30aZx0+zDUyVF0pK2qqkcSLCzfg8F++oE2nFEoW+LZN/nsAngGwAMDDjLF5RHQNEZ1qX3YXgH5EtBjADwF4XDfjptgJKFEDSyQsL4lsnqE1447HDbgrsk5Lt+yw/mlG1fDbc3mtQLE0fIWrl+LaBkGrS0smDP78VNJ6f1Gg/+oL+0OmzItKAYSP0SJ+mxH9LB9zVSA5P5NOz4jaopy2zidBNun4jT6zOfXKTlHoaFcf24LM8cP3+XaNqaTHRbcpYC4iiOcFF08/91QCYVi/JnxqtGXWFN0y5fbGV01z27tM1E46Sd4JYi7wZ63Yqr1HR1ODW7lT1QG5nek6FqA84ZJjseEzxp5kjO3JGBvNGLvOPnYVY2y6/XcrY+xLjLExjLGJjLElcaTrR5TY6X6kEoRcPo+2bN4zISfG59ZpaplccNjdqBaP4X31k1O6gE0q0smEU+Hl78U7M2s/WLcwVGlslYjl3RZW4AvfoGdXvXulY9JRxEu68GjLDDdl/CAcNKy38n4V/DvqOnlZwPiZWuRNWfj6ClGr12n4vINOhTDpNKQS2N6adWm7XdPx7X7antPvBSsjekfJI+qeXQsCX9WHRJ13SZBXw25M+Xd0Qc5bOlOrc15qO7oOf+II9UR+qdTcpG1c9GlqwLjB4RYg+cEnkXJ55qmA3LsB0Av8lkwu0G4bZY7hoGG98d1jR2sFOxFw9hEjsO/ubi8elUAWR0G8QfKJskPtCpdOkm3SKdyv0iorYdIRt+U7amx/3PD5/ZTXidnzMyfwczzCodipTRk/GEuuPwm3f32CK345ANx93qG46xy1N1RB4KvLh4ce5uXjp3mLmvFlU/fCPrZnlkvDD5q0DaXhe79RqRq+SHs2Fzrgn3gZN+kM69uE2752iKM4kcYFOh3RlZYUGn6QZSCo4xLPq006soavLpfP7DMo9v0ZgE4s8JMJwl+/MdFz/Og9B+ChCw/XFtydUkNOEmFXm9qm2JBKOMvz/Tfu8KYlJh/FHe7IMf19h65ElqfOv793ZOCzxEbIO6XPH7wHnvj+kfjMPpb3hOWl4/ZAUnVglYgJ8omwHRyf4FMiHPbT+vjwOpHwrqYmYdGTPAwf1b+bVjBwmSOX+Tc+PRKv/GiSI2D46la/+SWGgiKREpbti+8UKIA0Nvwl15/k/N2QSuCLh+zhOh8k8L9w8B6+50UyOeZxeODI5kexbvGOaOq+gzF138HOcT4ik4mu4XuvDxT4AUJYFOiqS2UFRKfs9fGZ6C6FTivwAXVj6NOUxmGj+mkbyj6Sf3sySWhutyb8xEp70LDe+OXp++O/lx+HvYf09BTcrcJqOlXBi0M/nR1vWN8m5XHdM4GCOUPWDlRiRTRRceGWTBDG79bLOZ62Y5uIHZpKkSp1cdXU8YMDr3lLCKFgbTahGeUIEt9Ps3TemazV1Lk8w/B+TXjmkqNd18nD9N5NDXoPGs2k7cgB3TC8XzdHa+/RJXglrxjuIWGHcQbcZo+wGqcsIMVRWmMqgcE93au3ZeVG5qIAzzOR9qzeq0zGlS87D7JgTiTUI1a5Yw4iaH5Epl+3Bl8/fMCSF/5phtPwi/USC6JzC3ylZm0dO+PQoZ5zgNW4zzxsGAb1tDSwrukktjRbw3CxEVw2ZRyG9WtCr65pDOrZ6BF4otBUVRJRGzl8lHINmqsCc82Da3y6AUWUUWBX4X14FuWsppLkCa2g0oxKDZ8QRjsTt8kTA1XJuDythFbdTdJaCwLU0vDzjGG3Xl2xl2QKlPPWozHlKAEyOpPO4vXWJjZ8JNQjzKQwK4R7SCXIESaiMAgS+L5bINr3dk0nPc8J0nSjmBvyzD8EhIhKw5dvTdgL5Tz3RjTpRJ3n+/oRwwPfQzSPqdqo3CnpFKVi14EE0akFvkrQ8jL++anj8cKlx3jOJxOE60/fDzN+fDwAa6EER7Thi3WF4BV4TY1eYSoiVpyrPzse004c57lGrJCNtuAKspXrqonqNrED4w1ebgR84ZU4SRZ2Ai4KYcNBcPz2cxWPJhPklJWsVSeEd2bMMq+o3o2PEj534G54fdpxSCRIu5iM3y6bUHhIBW7CCavh8+uTQmx7MY86AcRj+viVFX//poaURxAFactRq0DYOiO2WW7Ck+s8aUw6qk74giNH4n+O31OZVtAG7ZxkgnD2EcPxzaNGBXYS4qSvylwnj3R0o3uj4ReB6qMVhtyE3Xt39ZyXK6aoiYluYuJVqskfl3un0j2r8KyGVMKZYBa10FsEsxBPkNd9P7fMsLhMOhrNNG27yeUkDf+NaceFTygEUbUtcYNuz7MSsvCyvrWsVfP64cQwzzGlksBjzXRrTDl15jB7VLaPFNOIa77yHrR9bZssFwLc48QPBobvHTcGR+85AKcesFvBhh9i0vbbk0bb76Z/Pn9MU2PSox0HmWCilBdjeu8W2flA7NS4wF8lbbmYIPWcmWpF74AejRjeT20afWae/454nK7pJK45bV9X6AQdYtmoVnfLmrsu8m2xsZyC6NQCX1U44iHVebmTEN36dHZNlYbPBUfvprTahi8VPK+sXLD2796AsUKYY65lcpOOvt6Fb4iiSUf0SXfn01p4JdpMkwnCborOspKE1fCBwoKcAVKMpYKXjnU+k8srt1HspXDtHNm/G5bdcDKmSHMPunLh35fHpQ+l4eeBIb264t5vTHRCB4v5Bbz1qHdTGnOvPgHfPXaMnR8fDZ+4hp8sQsOPZtIJu8K4sOCPcOZhw7VpqwT+gUN747QDvRvG6DzodmnMcjJi3Q/SvEXFSLnLmmfHK/VzjIZfBGqB7z8cDq3huxZYeG1xfAXhi5dOUmpL8jHuFaGz0ffrbmmIvKLr/IWLteF3dSbIpHwmCZkQXjoi5xwxHJ8/2D9+kIzOj78hmcAfvnKg53hYGz5Q2GpycC91WGleJ9o1K5i5eUQ1USsv5+fPOnm/Ia7jvMPmZge+MYsfslCTRyRiepwB3RtdnYmfps4FUv/ujZ73DjKxRfUY1LqPSu4EXFFqSCbQkPS+Lz/Xns07ndKE4YXwDMeNc4cGlxcNilxw5MgIb+DOn8wvbRdhUaaoJmR1gvyiY0bj6UuOchQDY8MvApVgcgtqhcCXjokrLsUho/syr00xQdYKwr7dGjwrBgGvBtUogiYLngAAHNdJREFUTcrK3H3eRAzv14RzjhgBwG2OOUKY9I1STboIz+DPk79JOmFp+G6XRf/ndmtM4fCR6olozin7uwWiX8bFeCucJJGPuUL9MHFyPJ0kx9WPPyeTy2vMb9wM6H2m7L7IhZO8WIs3ZL6NYN8i3O4SCoEv/v3rL+yPe893uyL7CY6vHW5p0H2bGjyuvkGrViML/NCTtta/DakEjhs3CGcfMRw/OWVv1zUNKUvgM2YFX7v7vEOdc90ks05Le86Z+P7yhD2w8BdTnXOfCwhqyBFbpEpg/2jKXvjqxGEAgP1274UD9rAcNlozOY/ZWPddp504DuMG93QUrnLMkwGdXOCrKlnQd5TvESdtRdc1tw3f+xzxmLxgC/AWKNfYeYU4RoplsnvvrnjlR8dihB0CdrztPvr7rxyAB4QY7FG8J0QNn5urvCYd7yrUMJ4hQQ1cdpfULSTLM6Z0rUwkSGvn1H2C/XYveE4tuu4kJ5wuf7WVm1uU78bTUT1WFvg87WP2HIBRQrheXi7ctq4bbYjoNHzdStsvHzoUQ3q5BYxYxrKScfVnx2PhL6YikfDurBWnSYex8EHj+Lfukk6iIZXANafti4E93N+qMZVAmx2gbdzgHq4RjegsAVijNr6rVEoKblaMUFXVa/FbERG+Pckyp+WZty6GdR0N68YalU4t8FVEnRwUK5O405TspSMjCjB1JXF/eu7jP7BHIx7+1hG4yifELgBM2msgnv/h0fjcgW4tJcrbhTHp8HyKJqtggR9sg5Td/nTFwuCeR+GT2knBL92bvvq4rrHx1a9AdCWhqzSvw9MeO6gHXvzfSfjPxUfi/CNHOiPF848ciWU3nIxujWqTHADc9rVDAHjNeqqJ9aCOVRwJynUukSCno/cK/ATO/dQI7XP92tF1p+/r+s2gngxXwbMof1cRR8OHt2xEDf9rhw/DdyaNRs6eX0sn3HUmbCckloOqXuvaMqDwerMF+TtXHo9fnDbe8yxuNjQafonwYVbU79hbiAypW8QjlulhIwshCfyQh9oDezTiu8eOxj3nHYqJI/uidwgb75iBPTwafTQvHbenEKCqoNZvMW5+UGWkEBq+3Eh0V+cZc02Wd+UBtBLk4/mhJkxnrxICvL2r7pcndOVr9t29F356yj6ectLNwXRJJ7DnoO4AvPMDjrAhxTENjalEIRCez7WezoAIP/vsPrh8qtdd2Dpf+PuiY0a7zskjWsb8vYVEeN1atGGn9prGVBJttklHrvDiiOvaz+2H3k0NBdfWRMJVL8N2QiJhVueKvvjy5bzdD+jRiAE99KO8oX3L4xRRNwKfN56o8Sn26NMVJ+8/BLeedbDUSIVhnPD3j0/aG8tuONljq/vRlL1cvx0zAW/DRPjRlHEYM7C0+D9RgqeJgpR3Zio/fMDtcTCop785Ip3Ua9+Fa7wCRgXXrn4weSwAYO8hhQBiujR0SetX5vpf4+cKO3FkX1whrKEIK0O4YJKF5fyfT8XI/t1w5Ul749azDnGd4wLKNXoM+M5EhCa7nP0mYuX3Zoz5bqIutiOPu6ukzLAQ+eR8slPtpijSkEo4/uty9lQ7jnGBLythoTV8wYofSsMX5IROgQKAhpQ+fdmMFRd1I/D5hKuu0fdoVPtFExFuPvNgnLjfEFdP7jLpiBqXRrPnbnKctNN4g4kSqrdYLx3diIQf55tSfOPTI10bdavvSQRqdGFNOpyLjxuD5/7naCdipK+Xjuar6oTO7n0K2pSqQfMGr56rIXxLENphFYp0MoGPrj0Rl091KwKJhLVBxjePHhXKzh9m6M9HRWHiCnG4kNRpwX7JqmNH+XfonLXbLJ97v1g9janCxj1yWatcp3OOhu++NqyG7/JQU9wjB5/z0/Bd62+S3rxefNwYHDLc66QQF/HFQK1xGjTLtDnP/fAYbG3x1y5cBSkcFws1bFRA3viCNJ/3fvoZpGPaXFpG1Ib495HXE3CbY2smj+PGDcRVn/WfWwCsUUHQezVEdDtLJRMYO6iHM+LwmxiWk/6/Mw5EY0q/G9FXDx2GKx/9AACU37rQ4OO1qxa7Z4P4fuEEvpWOv4bvPsdXCuuKSVe+ew/pqRwt6LIpu0w2215M356kj9XTKOzFLD9XJfC5p4y8562Yz29PGh1qvwV1jHv3t9Mt0ATca0FU5X/pCXvh0sBcFE/daPhco9ZV1EE9GzFusHpjcE6jzg9fKNawIQLSGhOKTJ9uDYEatUixGr6zMEgW+HyLwPacR/v91Oh+GNKrC24+82DX8XRSvyiqkE957iFcxh1PlRBmI85pB+6OqfsO8V2Ze/SelleUatckZ9KvTL7RpRBG4DfZse39lBFZ++eT9Npvpvj235k0Gk/94CiFwAdO12jscpRVXg6De+lt2GLsfjkbXRRC9LQDd8MD3zzcExFUrD+XTx2HK0+2lBlPuOiACAzydxVNOqJDwPF7D3R1SNWoT3Uj8LnmqhMsYQSOtsGEMOnIOI0ipjLnzxPfY8r4QS7XQBmXhm8PL+UFZM6esNmc593u/+bhePOKyZ4wAWFeafFG96Rc2I6K5yHtF1ohovcOUGjkKj/pgg24fM3ltq8dgpvOPMj3Gr44TXyLMCsy+XoLv7opP2dvO2SEbmKRhE8hL5pTdcRfO2wYPrr2ROc39wCStepffn4/vHDpMb5KziPvrirkQzPn5MorEY4Y3c9zrW7SX3RzDoM8KhQ7DHFO4s5zDnVdV+wIrxTqRuA/OdeKm7Fg7fainyFWJpdJR/hbFc9D+ayEv4kpKl+xo3+KG0bf/vUJePF/J2nvUWn48upAns9Mjml9g+XjYUJSNUt7zEb9DNbCq3gmbYGCKUAlFLmyUK7Vj4AV8/2U/b1hAYIIMxna5Lhe+mj4wrk5V5+AA4ZaC8cm7z1Q6Z6pSpcf8mj4sISuKOD4vFS7pOF3SScxekB3/cvArajoypTn3w/dCPHgYW4bumrLUBGPhi+0K7+9gVUbz5SbuhH4nE272oIvCoF70rbwI6z5xVm9GZOK//NTx2P2VZ8JjGMu4hL4dn5kDX/2ysLenjptUiUIg+SQHFwsrIYv7tU6qGcX5YS2VuCH0PBVozi+01bY+ZlKEkbD5x5BqhXfHNG8IC42TCcTuPrU8Z50xJ/yxKsc80cVNoN7zYXdp1jkG58e6fzdTdHeXrvsWNx/wWGBzwnr6x60mZvsbSM6gPiF0CjniFFH7dXgMvGbLx0AwLvZdrF2NHK5ZVo0phKhh2mFyceikveQTiZC+e6r8nDMngO0Nvwjx/QXrtcIfIXNNmhDFNlrKWzHxydQk0To260Bc66e4tFA23Sbk/gUjRPDRHHRKHvbRzlOfrUQ+60wnibcpOO3X2vUuPpKDd8uQy4fubumKC9P3m8IGpIJR9j57fil4/uTC3VH5V03tG+TsiPw5JcIg3o2KkcwU8YP0t6nW5zonBdWLvuVTzVMOnXjpcOX1eek3Y/fumKys4VhFFRumUH+6YN7dsG67a0AgieRK8X8a6YgnUzg7teXAvAK6k+NKcSf0YUykIVkl3TCtVBL5Fu2uyGfnOPIn2HSXgPw8ocbPfc7O0AJDenqU8fjkOF9cPED7wHQR0H0E2pce1d1aqfsPwSjBnRzbWoj85OT98bKzc3a83FQ7LbB3KSj22YQCKFtSp9F/JZytvjmQUePHYDp769x5ftmO+T3tpYMXvlooxNqIgrFjKh1vDltslIo3/71CXhm3jp862/vet4vmSDkBVOUSnA3pBLItvvvZ10NDb9uBL4T81zSKPp1b0Q/f5OhElVohd16+wv8Vy6bhHP/8g7eXLIp9knbYuFzDifvvxv+8PwiZy6A05iyQudmckxrc5SFZNeGFHa1qYXuFSftrTwufwZdY3BMOlJDEq/XjS78OtctzdbkmiqoGRH5CnsAuOAovRthteHlo9tBCggXLsP1TMX1/POOG9wTL1x6DJrbcpbAV9jAe3VN457zvHtOR0VejRyG/Xbv5Yw+/DRw3RmrHhXeSVVXnTAYRsOvLA9/6wj07JpyKqguGmVU3IsrrGf7xf+w7kk6WhZvHNXW8Dm79+6K+ddMVZ7rkkoik8tqK6jY+If06oKjxvTH0k27AFh71T6t2WhCHPEQEZ78/lGYuXwzrnp8nracCoto3MenjB+En312H6zZ2oKjxqonyvzs3SP6WWabA/YInuyrFly4bW8JF8ddhs/vqOpp1GBpopatGnmMHtAdi+xtHfPRzfShKUbD//fFR4a6jr+zPAchfwtlcD9nAlv//GrMCZUk8ImoL4CHAIwAsAzAlxljWxTX5QDMtX+uYIydWkq6UZhox7bhw23Z77dY0gqPnTATpnKzKlOMpFiRNUTv+cLxN6+YDMBaPzDrp5/B+yu3agX+yz+ahLv+uxQ3PvMhAGsD+Y32Lkft2Txu+9ohnvCy4qbeIkSE84TJPBV+Wuz3jhuDE8YP8mxiX0scNdaaT/m0MK8CAGcdNgzH7jVQdQuAgkDm5ddV4UkWtMNSMdWUzxnI80JxwAOo9QyxkUyx6HQx+bhKEXJCWfsodB1O4AOYBuAFxtgNRDTN/n254roWxph3F4sKwhu7aqecYnAVsl2mQRo+UPyCo1pAK/A1grRvtwanYxw3uAd+++UDXOe7pJPOM/lnGG1PkE7dd7ATr16EF18xIyP+rS85fqznXDqZCDTbVJsxA3tg8XUnenzNrzt9P9/7+KjI0fAbvOUY5O0T5nvLV3CvINVGIKXyp68ehGc+WIc9+pRv5zVHw5eOyzJEJbiTIUw6xQRvK5VSBf5pACbZf/8VwMtQC/yqk9LY8IvFreHbGnAIgc/LmDe+g4fVrgmBw7+YzsvDzz+dy4k+TQ2+ApU3rj36NGH+NVO0nacuLkpYlt1wclH31QpBG5Oo4N+MT66L+wJwStnhSuenztuDbqPuUpgyfrBne8m44e8s64jyb1U4Dq5chF0NXilKFfiDGGNr7b/XAdD5MnUhopkAsgBuYIw9pnsgEV0I4EIAGDZsWInZK9C3WwMOGtYbl2h2sI+KS+A7QjxMY7Qu7tElhX9/70iMHqhfCVsr8IlSnZdHmM0adELBiUQpHPNbvFYw6QQmabDhG4Dsv0cv3PjF/ZULvAInbYXzN35x/1DpdnUEfhmN+GVEN/qWa7Jq/qNgw6+tihoo8InoeQCqrvRK8QdjjBGRTn0ezhhbTUSjALxIRHMZYx+rLmSM3QHgDgCYMGFCPOo4LM3o0e98uuTnJMjyBW8o1oYvTNbut0dtmxA4sg1Yxs8cwP2hdS6rQasYZc6cOAz3z1iBY8fpbdYGN9wFuDGV0G7rFzRpy8/efe6hob89f+ZXJgwNuLI20VZrqcoqTToh/PCrQaDAZ4wdrztHROuJaAhjbC0RDQGwQfOM1fa/S4joZQAHAVAK/Frnb+cfhr+/tVypzau2MpQh6d9KMOPHk0vyBgraON3PpHOArVWq7PGAf6x5Ffvu3qvDm2UqzcWTxyKVJBw5tr/2miBNlFtCxZHtPy46Av26NWD6+2usA4r5qYW/mFoVf/M48Nt2EwCuOHEc+nRrUI4EEp3UpDMdwDkAbrD/fVy+gIj6AGhmjLURUX8Anwbw6xLTrRqfHtPf4yXBG4tqMkxG3PCkUgQtCAuCN3a9W6b+vYkIX/LR8LgHRzV8kuuFkf274ddfPMD3mqDvz4WcOBI4dITlAefnBxEl1EetoesD+euOHtAdx++jtmI7I/mOpuEHcAOAh4nofADLAXwZAIhoAoCLGGMXANgbwO1ElIcVyuEGxtj8EtOtKZLOkDmMhm9dW2Mdvy8FDT/cwqsocPtumG9nKB+NqSR+NGUv7DlIHT6Cz+P47c3Qgap0ODQvlCAgByDpU++TIdwyq0FJAp8xtgnAZMXxmQAusP9+A4C/31gHJ8rEDLdZ18qCqzAUbPgak04JWgzfyKIakQMNbuT4RiLOKE9hnoltoq3G0LXRLmlrIWLaZ2TrmHQCqvXtXz/Esy9yOen0K20rAS/cKC6fHUfcA1l7qaTOC6kU8xTX8Dvy0L8eKJh0vHXg64cPx4wlm/C1w4dXOltlxU/g72jVrzwHwpt0yu1aKmPUqhjgGm4+gsCvNdueH/y1epRhVePptteI30pRQ/VR2fA5A3o04qFvHeHavq8zoNNjeHtvUmyYzkl20klbAwq2vLgWddUqPYoIVBXEQcP6GK+bDoDKS6ezo9PJCk4aeoFfMOnUlsCvn9IrIwfZu+vsPSQ4XjqftO1INnxO76bK2RoNtQVfreun1XY+1G2Ud3p+LZiP4EuZ3yoHRsOPgan7DsFrlx2LoX2bQt/TAeV94PaNew4qIs60oUMRZmORzoJOVt/+9UNw12tLMbyffpW8s9K2xkZE9VN6ZSassC+stC1jZmLmvgsOC9wL+K0rJpfF5GOoLerJm0o3Ct9zUA/8KiC8BL83XWMNvX5Kr8aIay/bSvDpMf0DN/gY3KtLXWl/9caln9kTvbqmO1R011Ip5VV1G7pXG9NCq0QdtRtDJ+DiyWNx8WRvWOnOTCnzbM3t1vqSgSWuco8bo+FXiXrSlAyGeuO8T49A76a0s79DrWA0/ArTEW34BkM9UoqGf9Zhw3HWYcOxozUTY45Kx2j4VcLIe4OhtoljEF5rNnwj8CtMIXhabVUEg8HgJo61MrW23sYI/EpjTDoGQ4cgjjZaY/LeCPyqUWs1wWAwuIgj3pXR8A0AjIZvMNQ6cYRFMALfAKBjLbwyGOqROCZca02xMwK/wvDyr7WKYDAY3MQRGbTWnDOMwK8SNVYPDAaDRK25VMaBEfgVhvf4tdbzGwwGN7UW2jgOjMCvEp2vKhkMnYtUjYU2joPO90Y1TsGGb0S+wVDLGA3fEBtG3hsMtY2x4UsQ0ZeIaB4R5Ylogs91U4noQyJaTETTSkmzs2A0fIOhtolLwx/YoxE//MyesTyrVEqNlvkBgM8DuF13ARElAdwM4DMAVgF4h4imM8bml5i2wWAwlA3uWHHWYcNKes7bVx4fR3ZioSSBzxhbAAR6nEwEsJgxtsS+9kEApwGoS4FvFHuDoeOw6LoTkexEjbYSNvzdAawUfq+yjykhoguJaCYRzdy4cWPZM1ctGFi1s2AwGAJIJxOxxNSpFQI1fCJ6HsBgxakrGWOPx50hxtgdAO4AgAkTJnQ6qdh5qo7BYOhoBAp8xlipBqjVAIYKv/ewj9U1rNN1ZQaDodaphEnnHQBjiWgkETUAOAPA9AqkazAYDAaBUt0yTyeiVQCOAPAEET1jH9+NiJ4EAMZYFsD3ADwDYAGAhxlj80rLtsFgMBiiUqqXzqMAHlUcXwPgJOH3kwCeLCWtzoKJoWMwGKqFWWlbJYwN32AwVBoj8CsM1++NvDcYDJXGCHyDwWCoE4zArzS2is+MTcdgMFQYI/ArjNnL1mAwVAsj8A0Gg6FOMALfYDAY6gQj8KuEseAbDIZKYwR+hTHrrgwGQ7UwAr9aGBXfYDBUGCPwK4xR8A0GQ7UwAr9KmA1QDAZDpTEC32AwGOoEI/ANBoOhTjACv8IYLx2DwVAtjMCvEiaUjsFgqDRG4FcYE0vHYDBUCyPwq4RR8A0GQ6UxAr/CNKatT55MGE3fYDBUlpL2tDVE53+n7IWuDUl87sDdq50Vg8FQZxiBX2F6dknjihP3rnY2DAZDHWJMOgaDwVAnlCTwiehLRDSPiPJENMHnumVENJeIZhPRzFLSNBgMBkNxlGrS+QDA5wHcHuLaYxljn5SYnsFgMBiKpCSBzxhbAABklo8aDAZDzVMpGz4D8CwRvUtEF/pdSEQXEtFMIpq5cePGCmXPYDAYOj+BGj4RPQ9gsOLUlYyxx0OmcyRjbDURDQTwHBEtZIy9qrqQMXYHgDsAYMKECWZ9ksFgMMREoMBnjB1faiKMsdX2vxuI6FEAEwEoBb7BYDAYykPZTTpE1I2IevC/AZwAa7LXYDAYDBWEWAlhG4nodAB/AjAAwFYAsxljU4hoNwB3MsZOIqJRAB61b0kBuJ8xdl3I528EsLzI7PUH0FG8gjpSXoGOld+OlFegY+W3I+UV6Fj5LSWvwxljA1QnShL4tQwRzWSMadcG1BIdKa9Ax8pvR8or0LHy25HyCnSs/JYrr2alrcFgMNQJRuAbDAZDndCZBf4d1c5ABDpSXoGOld+OlFegY+W3I+UV6Fj5LUteO60N32AwGAxuOrOGbzAYDAYBI/ANBoOhTuh0Ap+IphLRh0S0mIimVTs/AEBEQ4noJSKab4eT/oF9/GoiWm2HjZ5NRCcJ91xhv8OHRDSlwvn1hLMmor5E9BwRLbL/7WMfJyL6o53XOUR0cIXzupfw/WYT0XYiuqRWvi0R/YWINhDRB8KxyN+SiM6xr19EROdUOL83EtFCO0+PElFv+/gIImoRvvFtwj2H2HVosf1OsUdY1OQ1crlXSmZo8vuQkNdlRDTbPl6eb8sY6zT/AUgC+BjAKAANAN4HsE8N5GsIgIPtv3sA+AjAPgCuBvC/iuv3sfPeCGCk/U7JCuZ3GYD+0rFfA5hm/z0NwK/sv08C8BQAAnA4gBlVLv91AIbXyrcFcDSAgwF8UOy3BNAXwBL73z72330qmN8TAKTsv38l5HeEeJ30nLftdyD7nU6sUF4jlXslZYYqv9L53wK4qpzftrNp+BMBLGaMLWGMtQN4EMBpVc4TGGNrGWOz7L93AFgAwG9T29MAPMgYa2OMLQWwGNa7VZPTAPzV/vuvAD4nHL+XWbwFoDcRDalGBgFMBvAxY8xvdXZFvy2zggRuVuQhyrecAuA5xthmxtgWAM8BmFqp/DLGnmWMZe2fbwHYw+8Zdp57MsbeYpaEuheFdyxrXn3QlXvFZIZffm0t/csAHvB7RqnftrMJ/N0BrBR+r4K/YK04RDQCwEEAZtiHvmcPlf/Ch/ao/nuowlkPYoyttf9eB2CQ/Xe18ypyBtwNpha/LRD9W9ZCnjnfgKVVckYS0XtE9AoRHWUf2x1WHjmVzm+Ucq+Vb3sUgPWMsUXCsdi/bWcT+DUNEXUH8AiASxhj2wHcCmA0gAMBrIU1pKsFjmSMHQzgRADfJaKjxZO2ZlFT/rxE1ADgVAD/sA/V6rd1UYvfUgcRXQkgC+A++9BaAMMYYwcB+CGA+4moZ7XyZ9Mhyl3BV+FWVsrybTubwF8NYKjwew/7WNUhojQsYX8fY+xfAMAYW88YyzHG8gD+jIJpoarvwYRw1rAC300EsJ6baux/N9RCXgVOBDCLMbYeqN1vaxP1W1Y9z0R0LoBTAJxld1KwzSOb7L/fhWUL39POm2j2qVh+iyj3Wvi2KVhbxT7Ej5Xr23Y2gf8OgLFENNLW+M4AML3KeeL2ubsALGCM/U44Ltq6T0chbPR0AGcQUSMRjQQwFtZETSXyqgtnPR0A9w45BwDf/GY6gLNtD5PDAWwTzBWVxKUh1eK3FYj6LZ8BcAIR9bFNFCfYxyoCEU0FcBmAUxljzcLxAUSUtP8eBetbLrHzvJ2IDrfr/tnCO5Y7r1HLvRZkxvEAFjLGHFNN2b5tOWajq/kfLE+Hj2D1iFdWOz92no6ENWyfA2C2/d9JAP4GYK59fDqAIcI9V9rv8CHK4OHgk9dRsDwV3gcwj39DAP0AvABgEYDnAfS1jxOAm+28zgUwoQrftxuATQB6Ccdq4tvC6oTWAsjAsreeX8y3hGU7X2z/d16F87sYlp2b193b7Gu/YNeR2QBmAfis8JwJsITtxwBugr2qvwJ5jVzulZIZqvzax+8BcJF0bVm+rQmtYDAYDHVCZzPpGAwGg0GDEfgGg8FQJxiBbzAYDHWCEfgGg8FQJxiBbzAYDHWCEfgGg8FQJxiBbzAYDHXC/wNf3ujJNO4MPwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for feat in df:\n",
    "    plt.figure()\n",
    "    plt.title(feat)\n",
    "    plt.plot(df[feat])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>attitude.roll</th>\n",
       "      <th>attitude.pitch</th>\n",
       "      <th>attitude.yaw</th>\n",
       "      <th>gravity.x</th>\n",
       "      <th>gravity.y</th>\n",
       "      <th>gravity.z</th>\n",
       "      <th>rotationRate.x</th>\n",
       "      <th>rotationRate.y</th>\n",
       "      <th>rotationRate.z</th>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <th>userAcceleration.y</th>\n",
       "      <th>userAcceleration.z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>attitude.roll</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.174992</td>\n",
       "      <td>0.017448</td>\n",
       "      <td>0.244522</td>\n",
       "      <td>0.176398</td>\n",
       "      <td>0.989750</td>\n",
       "      <td>0.300941</td>\n",
       "      <td>0.137303</td>\n",
       "      <td>-0.058952</td>\n",
       "      <td>0.255000</td>\n",
       "      <td>-0.104904</td>\n",
       "      <td>-0.365342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>attitude.pitch</th>\n",
       "      <td>-0.174992</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.408419</td>\n",
       "      <td>0.870057</td>\n",
       "      <td>-0.997818</td>\n",
       "      <td>-0.259796</td>\n",
       "      <td>0.024358</td>\n",
       "      <td>-0.081630</td>\n",
       "      <td>0.079436</td>\n",
       "      <td>-0.316406</td>\n",
       "      <td>0.245931</td>\n",
       "      <td>0.111762</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>attitude.yaw</th>\n",
       "      <td>0.017448</td>\n",
       "      <td>0.408419</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.393436</td>\n",
       "      <td>-0.414980</td>\n",
       "      <td>-0.019386</td>\n",
       "      <td>-0.132540</td>\n",
       "      <td>-0.054435</td>\n",
       "      <td>-0.019424</td>\n",
       "      <td>-0.103988</td>\n",
       "      <td>0.189223</td>\n",
       "      <td>0.038412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.x</th>\n",
       "      <td>0.244522</td>\n",
       "      <td>0.870057</td>\n",
       "      <td>0.393436</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.861289</td>\n",
       "      <td>0.166455</td>\n",
       "      <td>0.173899</td>\n",
       "      <td>-0.002022</td>\n",
       "      <td>0.064475</td>\n",
       "      <td>-0.166032</td>\n",
       "      <td>0.210132</td>\n",
       "      <td>-0.062217</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.y</th>\n",
       "      <td>0.176398</td>\n",
       "      <td>-0.997818</td>\n",
       "      <td>-0.414980</td>\n",
       "      <td>-0.861289</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.262819</td>\n",
       "      <td>-0.023037</td>\n",
       "      <td>0.085809</td>\n",
       "      <td>-0.079014</td>\n",
       "      <td>0.317511</td>\n",
       "      <td>-0.250575</td>\n",
       "      <td>-0.110683</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.z</th>\n",
       "      <td>0.989750</td>\n",
       "      <td>-0.259796</td>\n",
       "      <td>-0.019386</td>\n",
       "      <td>0.166455</td>\n",
       "      <td>0.262819</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.304289</td>\n",
       "      <td>0.150985</td>\n",
       "      <td>-0.062916</td>\n",
       "      <td>0.277098</td>\n",
       "      <td>-0.124270</td>\n",
       "      <td>-0.373650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.x</th>\n",
       "      <td>0.300941</td>\n",
       "      <td>0.024358</td>\n",
       "      <td>-0.132540</td>\n",
       "      <td>0.173899</td>\n",
       "      <td>-0.023037</td>\n",
       "      <td>0.304289</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.194066</td>\n",
       "      <td>0.357653</td>\n",
       "      <td>0.176945</td>\n",
       "      <td>0.068974</td>\n",
       "      <td>-0.003272</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.y</th>\n",
       "      <td>0.137303</td>\n",
       "      <td>-0.081630</td>\n",
       "      <td>-0.054435</td>\n",
       "      <td>-0.002022</td>\n",
       "      <td>0.085809</td>\n",
       "      <td>0.150985</td>\n",
       "      <td>-0.194066</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.586079</td>\n",
       "      <td>-0.053177</td>\n",
       "      <td>-0.073973</td>\n",
       "      <td>-0.186613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.z</th>\n",
       "      <td>-0.058952</td>\n",
       "      <td>0.079436</td>\n",
       "      <td>-0.019424</td>\n",
       "      <td>0.064475</td>\n",
       "      <td>-0.079014</td>\n",
       "      <td>-0.062916</td>\n",
       "      <td>0.357653</td>\n",
       "      <td>-0.586079</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.123178</td>\n",
       "      <td>0.029901</td>\n",
       "      <td>0.182828</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <td>0.255000</td>\n",
       "      <td>-0.316406</td>\n",
       "      <td>-0.103988</td>\n",
       "      <td>-0.166032</td>\n",
       "      <td>0.317511</td>\n",
       "      <td>0.277098</td>\n",
       "      <td>0.176945</td>\n",
       "      <td>-0.053177</td>\n",
       "      <td>0.123178</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.061279</td>\n",
       "      <td>-0.280189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>userAcceleration.y</th>\n",
       "      <td>-0.104904</td>\n",
       "      <td>0.245931</td>\n",
       "      <td>0.189223</td>\n",
       "      <td>0.210132</td>\n",
       "      <td>-0.250575</td>\n",
       "      <td>-0.124270</td>\n",
       "      <td>0.068974</td>\n",
       "      <td>-0.073973</td>\n",
       "      <td>0.029901</td>\n",
       "      <td>0.061279</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.227141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>userAcceleration.z</th>\n",
       "      <td>-0.365342</td>\n",
       "      <td>0.111762</td>\n",
       "      <td>0.038412</td>\n",
       "      <td>-0.062217</td>\n",
       "      <td>-0.110683</td>\n",
       "      <td>-0.373650</td>\n",
       "      <td>-0.003272</td>\n",
       "      <td>-0.186613</td>\n",
       "      <td>0.182828</td>\n",
       "      <td>-0.280189</td>\n",
       "      <td>0.227141</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    attitude.roll  attitude.pitch  attitude.yaw  gravity.x  \\\n",
       "attitude.roll            1.000000       -0.174992      0.017448   0.244522   \n",
       "attitude.pitch          -0.174992        1.000000      0.408419   0.870057   \n",
       "attitude.yaw             0.017448        0.408419      1.000000   0.393436   \n",
       "gravity.x                0.244522        0.870057      0.393436   1.000000   \n",
       "gravity.y                0.176398       -0.997818     -0.414980  -0.861289   \n",
       "gravity.z                0.989750       -0.259796     -0.019386   0.166455   \n",
       "rotationRate.x           0.300941        0.024358     -0.132540   0.173899   \n",
       "rotationRate.y           0.137303       -0.081630     -0.054435  -0.002022   \n",
       "rotationRate.z          -0.058952        0.079436     -0.019424   0.064475   \n",
       "userAcceleration.x       0.255000       -0.316406     -0.103988  -0.166032   \n",
       "userAcceleration.y      -0.104904        0.245931      0.189223   0.210132   \n",
       "userAcceleration.z      -0.365342        0.111762      0.038412  -0.062217   \n",
       "\n",
       "                    gravity.y  gravity.z  rotationRate.x  rotationRate.y  \\\n",
       "attitude.roll        0.176398   0.989750        0.300941        0.137303   \n",
       "attitude.pitch      -0.997818  -0.259796        0.024358       -0.081630   \n",
       "attitude.yaw        -0.414980  -0.019386       -0.132540       -0.054435   \n",
       "gravity.x           -0.861289   0.166455        0.173899       -0.002022   \n",
       "gravity.y            1.000000   0.262819       -0.023037        0.085809   \n",
       "gravity.z            0.262819   1.000000        0.304289        0.150985   \n",
       "rotationRate.x      -0.023037   0.304289        1.000000       -0.194066   \n",
       "rotationRate.y       0.085809   0.150985       -0.194066        1.000000   \n",
       "rotationRate.z      -0.079014  -0.062916        0.357653       -0.586079   \n",
       "userAcceleration.x   0.317511   0.277098        0.176945       -0.053177   \n",
       "userAcceleration.y  -0.250575  -0.124270        0.068974       -0.073973   \n",
       "userAcceleration.z  -0.110683  -0.373650       -0.003272       -0.186613   \n",
       "\n",
       "                    rotationRate.z  userAcceleration.x  userAcceleration.y  \\\n",
       "attitude.roll            -0.058952            0.255000           -0.104904   \n",
       "attitude.pitch            0.079436           -0.316406            0.245931   \n",
       "attitude.yaw             -0.019424           -0.103988            0.189223   \n",
       "gravity.x                 0.064475           -0.166032            0.210132   \n",
       "gravity.y                -0.079014            0.317511           -0.250575   \n",
       "gravity.z                -0.062916            0.277098           -0.124270   \n",
       "rotationRate.x            0.357653            0.176945            0.068974   \n",
       "rotationRate.y           -0.586079           -0.053177           -0.073973   \n",
       "rotationRate.z            1.000000            0.123178            0.029901   \n",
       "userAcceleration.x        0.123178            1.000000            0.061279   \n",
       "userAcceleration.y        0.029901            0.061279            1.000000   \n",
       "userAcceleration.z        0.182828           -0.280189            0.227141   \n",
       "\n",
       "                    userAcceleration.z  \n",
       "attitude.roll                -0.365342  \n",
       "attitude.pitch                0.111762  \n",
       "attitude.yaw                  0.038412  \n",
       "gravity.x                    -0.062217  \n",
       "gravity.y                    -0.110683  \n",
       "gravity.z                    -0.373650  \n",
       "rotationRate.x               -0.003272  \n",
       "rotationRate.y               -0.186613  \n",
       "rotationRate.z                0.182828  \n",
       "userAcceleration.x           -0.280189  \n",
       "userAcceleration.y            0.227141  \n",
       "userAcceleration.z            1.000000  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.corr(method=\"pearson\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>attitude.roll</th>\n",
       "      <th>attitude.pitch</th>\n",
       "      <th>attitude.yaw</th>\n",
       "      <th>gravity.x</th>\n",
       "      <th>gravity.y</th>\n",
       "      <th>gravity.z</th>\n",
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       "      <th>rotationRate.y</th>\n",
       "      <th>rotationRate.z</th>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <th>userAcceleration.y</th>\n",
       "      <th>userAcceleration.z</th>\n",
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       "  <tbody>\n",
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       "      <th>attitude.roll</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.174992</td>\n",
       "      <td>0.017448</td>\n",
       "      <td>0.244522</td>\n",
       "      <td>0.176398</td>\n",
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       "    <tr>\n",
       "      <th>attitude.pitch</th>\n",
       "      <td>-0.174992</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.408419</td>\n",
       "      <td>0.870057</td>\n",
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       "      <td>-0.081630</td>\n",
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       "      <td>-0.316406</td>\n",
       "      <td>0.245931</td>\n",
       "      <td>0.111762</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>attitude.yaw</th>\n",
       "      <td>0.017448</td>\n",
       "      <td>0.408419</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.393436</td>\n",
       "      <td>-0.414980</td>\n",
       "      <td>-0.019386</td>\n",
       "      <td>-0.132540</td>\n",
       "      <td>-0.054435</td>\n",
       "      <td>-0.019424</td>\n",
       "      <td>-0.103988</td>\n",
       "      <td>0.189223</td>\n",
       "      <td>0.038412</td>\n",
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       "    <tr>\n",
       "      <th>gravity.x</th>\n",
       "      <td>0.244522</td>\n",
       "      <td>0.870057</td>\n",
       "      <td>0.393436</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.861289</td>\n",
       "      <td>0.166455</td>\n",
       "      <td>0.173899</td>\n",
       "      <td>-0.002022</td>\n",
       "      <td>0.064475</td>\n",
       "      <td>-0.166032</td>\n",
       "      <td>0.210132</td>\n",
       "      <td>-0.062217</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.y</th>\n",
       "      <td>0.176398</td>\n",
       "      <td>-0.997818</td>\n",
       "      <td>-0.414980</td>\n",
       "      <td>-0.861289</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.262819</td>\n",
       "      <td>-0.023037</td>\n",
       "      <td>0.085809</td>\n",
       "      <td>-0.079014</td>\n",
       "      <td>0.317511</td>\n",
       "      <td>-0.250575</td>\n",
       "      <td>-0.110683</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.z</th>\n",
       "      <td>0.989750</td>\n",
       "      <td>-0.259796</td>\n",
       "      <td>-0.019386</td>\n",
       "      <td>0.166455</td>\n",
       "      <td>0.262819</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.304289</td>\n",
       "      <td>0.150985</td>\n",
       "      <td>-0.062916</td>\n",
       "      <td>0.277098</td>\n",
       "      <td>-0.124270</td>\n",
       "      <td>-0.373650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.x</th>\n",
       "      <td>0.300941</td>\n",
       "      <td>0.024358</td>\n",
       "      <td>-0.132540</td>\n",
       "      <td>0.173899</td>\n",
       "      <td>-0.023037</td>\n",
       "      <td>0.304289</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.194066</td>\n",
       "      <td>0.357653</td>\n",
       "      <td>0.176945</td>\n",
       "      <td>0.068974</td>\n",
       "      <td>-0.003272</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.y</th>\n",
       "      <td>0.137303</td>\n",
       "      <td>-0.081630</td>\n",
       "      <td>-0.054435</td>\n",
       "      <td>-0.002022</td>\n",
       "      <td>0.085809</td>\n",
       "      <td>0.150985</td>\n",
       "      <td>-0.194066</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.586079</td>\n",
       "      <td>-0.053177</td>\n",
       "      <td>-0.073973</td>\n",
       "      <td>-0.186613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.z</th>\n",
       "      <td>-0.058952</td>\n",
       "      <td>0.079436</td>\n",
       "      <td>-0.019424</td>\n",
       "      <td>0.064475</td>\n",
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       "      <td>0.357653</td>\n",
       "      <td>-0.586079</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.123178</td>\n",
       "      <td>0.029901</td>\n",
       "      <td>0.182828</td>\n",
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       "    <tr>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <td>0.255000</td>\n",
       "      <td>-0.316406</td>\n",
       "      <td>-0.103988</td>\n",
       "      <td>-0.166032</td>\n",
       "      <td>0.317511</td>\n",
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       "    <tr>\n",
       "      <th>userAcceleration.y</th>\n",
       "      <td>-0.104904</td>\n",
       "      <td>0.245931</td>\n",
       "      <td>0.189223</td>\n",
       "      <td>0.210132</td>\n",
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       "      <td>-0.124270</td>\n",
       "      <td>0.068974</td>\n",
       "      <td>-0.073973</td>\n",
       "      <td>0.029901</td>\n",
       "      <td>0.061279</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.227141</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>userAcceleration.z</th>\n",
       "      <td>-0.365342</td>\n",
       "      <td>0.111762</td>\n",
       "      <td>0.038412</td>\n",
       "      <td>-0.062217</td>\n",
       "      <td>-0.110683</td>\n",
       "      <td>-0.373650</td>\n",
       "      <td>-0.003272</td>\n",
       "      <td>-0.186613</td>\n",
       "      <td>0.182828</td>\n",
       "      <td>-0.280189</td>\n",
       "      <td>0.227141</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    attitude.roll  attitude.pitch  attitude.yaw  gravity.x  \\\n",
       "attitude.roll            1.000000       -0.174992      0.017448   0.244522   \n",
       "attitude.pitch          -0.174992        1.000000      0.408419   0.870057   \n",
       "attitude.yaw             0.017448        0.408419      1.000000   0.393436   \n",
       "gravity.x                0.244522        0.870057      0.393436   1.000000   \n",
       "gravity.y                0.176398       -0.997818     -0.414980  -0.861289   \n",
       "gravity.z                0.989750       -0.259796     -0.019386   0.166455   \n",
       "rotationRate.x           0.300941        0.024358     -0.132540   0.173899   \n",
       "rotationRate.y           0.137303       -0.081630     -0.054435  -0.002022   \n",
       "rotationRate.z          -0.058952        0.079436     -0.019424   0.064475   \n",
       "userAcceleration.x       0.255000       -0.316406     -0.103988  -0.166032   \n",
       "userAcceleration.y      -0.104904        0.245931      0.189223   0.210132   \n",
       "userAcceleration.z      -0.365342        0.111762      0.038412  -0.062217   \n",
       "\n",
       "                    gravity.y  gravity.z  rotationRate.x  rotationRate.y  \\\n",
       "attitude.roll        0.176398   0.989750        0.300941        0.137303   \n",
       "attitude.pitch      -0.997818  -0.259796        0.024358       -0.081630   \n",
       "attitude.yaw        -0.414980  -0.019386       -0.132540       -0.054435   \n",
       "gravity.x           -0.861289   0.166455        0.173899       -0.002022   \n",
       "gravity.y            1.000000   0.262819       -0.023037        0.085809   \n",
       "gravity.z            0.262819   1.000000        0.304289        0.150985   \n",
       "rotationRate.x      -0.023037   0.304289        1.000000       -0.194066   \n",
       "rotationRate.y       0.085809   0.150985       -0.194066        1.000000   \n",
       "rotationRate.z      -0.079014  -0.062916        0.357653       -0.586079   \n",
       "userAcceleration.x   0.317511   0.277098        0.176945       -0.053177   \n",
       "userAcceleration.y  -0.250575  -0.124270        0.068974       -0.073973   \n",
       "userAcceleration.z  -0.110683  -0.373650       -0.003272       -0.186613   \n",
       "\n",
       "                    rotationRate.z  userAcceleration.x  userAcceleration.y  \\\n",
       "attitude.roll            -0.058952            0.255000           -0.104904   \n",
       "attitude.pitch            0.079436           -0.316406            0.245931   \n",
       "attitude.yaw             -0.019424           -0.103988            0.189223   \n",
       "gravity.x                 0.064475           -0.166032            0.210132   \n",
       "gravity.y                -0.079014            0.317511           -0.250575   \n",
       "gravity.z                -0.062916            0.277098           -0.124270   \n",
       "rotationRate.x            0.357653            0.176945            0.068974   \n",
       "rotationRate.y           -0.586079           -0.053177           -0.073973   \n",
       "rotationRate.z            1.000000            0.123178            0.029901   \n",
       "userAcceleration.x        0.123178            1.000000            0.061279   \n",
       "userAcceleration.y        0.029901            0.061279            1.000000   \n",
       "userAcceleration.z        0.182828           -0.280189            0.227141   \n",
       "\n",
       "                    userAcceleration.z  \n",
       "attitude.roll                -0.365342  \n",
       "attitude.pitch                0.111762  \n",
       "attitude.yaw                  0.038412  \n",
       "gravity.x                    -0.062217  \n",
       "gravity.y                    -0.110683  \n",
       "gravity.z                    -0.373650  \n",
       "rotationRate.x               -0.003272  \n",
       "rotationRate.y               -0.186613  \n",
       "rotationRate.z                0.182828  \n",
       "userAcceleration.x           -0.280189  \n",
       "userAcceleration.y            0.227141  \n",
       "userAcceleration.z            1.000000  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x117a8a250>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "features = ['attitude.roll', 'attitude.pitch', 'attitude.yaw', 'gravity.x', 'gravity.y', 'gravity.z', 'rotationRate.x', 'rotationRate.y', 'rotationRate.z', 'userAcceleration.x', 'userAcceleration.y', 'userAcceleration.z']\n",
    "plt.matshow(df.corr(),)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'gravity.z')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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MXH55GHLKo6ifgoQUTNpaT6cCbyT0KJ4PfJoQMESKrV4uYuvW5q87erS77apHlV+loNLWevoO8BngGndX6Q7pH/VyEUVTKoVSHMpHSEGlHXr6BXd/h4KE9I14uKko6yAa2bABDhxQkJBCS9ujWGJmfwRcAJwUP+juv9WVVol0olIJOYY8ho/S0n7W0kfSBooKcAvw28B6YC2gdRVSTBs3FjtILFoETz6ZdytEUks79FRy948DR939H9z9CkC9CSmmvMt/J1m4EK6/vvlxIgWSNlDEX88eNrPXRiXHz+xSm0QGU6kEN96o4SbpO2mHnv7YzE4D3gX8T8J+FO9o903N7EzCUNZyYC/wZnd/rOaYC4Gt0XsdBza7+y3tvqcMkUWL4NChvFsxV7kMe/fm3QqRtjTtUZjZKHCeu//M3b/n7r/p7i9191s7eN+rgT3ufh6wJ7pf6zBwqbtfALwa+AszO72D95RhUKkULz8xPj670lukDzUNFO5+HHhrxu97CbMru3cAb6jzvv/k7vdHt38MPAIszbgdMiji6bCrV8ORI3m3Zla5DNu3a7hJ+lraoac7zOzDhOGiZ/r07v6tNt/3LHd/OLr9E+CspIOjOlNjwD+3+X4yKCqVsIhu376wX0T8Tb169XURmOVXTFAkY2kDxYXR7/8a/TbASZj5ZGa3A8+p89Sc8pzu7mbWsKCOmZ0N7ATWunvdvzwzWwesA5iYmGh0Kul39cpxrFkThnaKFCQgBDGRAZE2UHyOEBgsuu/A42Z2obvfXe8F7r6y0cnM7Kdmdra7PxwFgkcaHHcq8LfAJnf/eqPzuft2YDvA5ORkj6u4Sc/UK8fhXrzE9diYchIyUNJOj30pYaHd2cAy4O3Aq4CPRiu2W3UrYdEe0e/P1h5gZmOE4oM3u/sn23gPGTRF3MO61uLFcMMNyknIQEkbKM4FLnL3d7v7uwiB49nAbwCXtfG+1wKvNLP7gZXRfcxs0sw+Fh3z5vj8ZnZ39HNh/dPJUDizwEt3yuWw0dATTyhIyMBJO/T0bODpqvtHCQnpp8zs6QavacjdDwIr6jw+Dbwtur0L0MZIUmzaZEiGQNoeRQX4hpm938zeD9wB/C8zWwTc17XWicDs1NcileZYvDj0IBQkZAikChTu/kHCrKJ/jX7Wu/s17n7I3dXPlvbV7j5Xqcx/ft264pQL1xCTDKG0Q0/xsNB0F9siw6bedNd16+COO+C224oTHEAVX2WopQ4UIpmrN9318GHYtq33e1UnUcVXGXJpcxQi2Ws03bVIQQJU8VWGngKFZK9Z3iHWL6uXFSRkyClQSLaqk8/us3mHSmV+ALn44lB+o5pZvbPmp1TKuwUiuVOOQrLVKO+wcSM89dTcxPWOHbB2LezePTv1dXy8OCU5xsbguuvyboVI7tSjkGw1yjscPFg/gOzeDY8/PvtYUYJEqaRSHCIRBQrJVqt5h4MH6280tGhRPsM+pVJYJ3HggIKESERDT5KdSiW7tQaHDsHPf57NudIyCwFCROZQoJBs1C6eS8MseSrs8eOdt6sV/TILS6THNPQk2aiXxG7GvTizirSvtUhDChTSuupprkuWhJ92ym2Uy2FW0dhY5k1M/f5m2tdapAkNPUlraoeY2q3oGn+DX7Uq1HbaujW7NqZRLsPevb19T5E+pR6FtKadIaZao6Nzv8Hv3t15u1phpmEmkRYoUEhr0m5HWi6HTX1qV1qPj4eFdtXDPL3eZ2L9eg0zibRAgUJak2ZmUDysc/vtsHNncXIB8RqJLVvyeX+RPqVAIbPSFPPbvHl+faZ6x8Tn27QpJLpHRsLvTZtmzxu/X7eNjmoRnUgHzItW0rlDk5OTPj2t/ZVaVm8dRLzOoVyeTTwDrFwJe/bUP8/ixeGb+8xM8jqJFSvgzjs7z3c0UyqFmVUKECKJzOwud5+s95xmPUkIEmvXzl/gFl/k4wqwsS9/ufG5nn56dqps0peQRoEmK7t2KTiIZESBYtjFPYlmq6APHw7B5PTTkwNAvbpNvaQehEjmFCiGXSvTXY8f7/0MpbRGR+HYsbxbITKQlMwedmmnuxZd9dCYiGRKgWJQpd2O9Mwze9mq7tiwQVNeRbpIQ0+DqHYGU20yetOm0JOYmOh9Ke9uUJAQ6SoFikHUynak/a5czrsFIgNPgWIQJW1HmqVm+0l028iIajaJ9IByFIMkzkv04uI9Ph7Kc9TWcuqVRYvg5ps1DVakB9SjGBTt7DAXGxmBM85I3+OIV2pD73sUpZK2KxXpMQWKQdFJ+e8TJ+CJJ8JFuFmwqJ5h1Is6TdUWLAiL6USkpzT0NCjSJqZLpbA4rdaRI+l6FNu2dbarXbsWL4abbtJQk0gO1KMYFKOjzctwxNIeV497b1dnq2aTSO7Uo+hXU1NhKMYs/E578S9qCY56ymUFCZECUKDoJ/GsJrOwx3QcHDrpIRRVvKe2iOROgaLoqoPDmjWDsUguSRF2whOROZSjKLLaKa8DtsnUPKoAK1JI6lEUWSdTXvuRKsCKFFIugcLMzjSzL5nZ/dHvMxKOPdXMHjSzD/eyjT1TPbQUJ6fjaq+DUgK8kXhV9+ioKsCKFFheQ09XA3vc/Vozuzq6/54Gx34Q+GrPWtZLlQpcfvnsrnBxUnpmBq64Iv9aSt1kFhb6iUjh5TX0dAmwI7q9A3hDvYPM7KXAWcAXe9Su3oh7EatXN9469MiRwb6QTkzk3QIRSSmvQHGWuz8c3f4JIRjMYWYjwH8H3t3sZGa2zsymzWx6//792bY0a3GCetBnLzWjqa8ifaNrQ09mdjvwnDpPbaq+4+5uZvXGV6aA29z9QWtSodTdtwPbASYnJ4s9VjNsCep6SiVNfRXpI10LFO6+stFzZvZTMzvb3R82s7OBR+oc9mvAr5vZFLAYGDOzJ9396i41uTcGPUHdzPi4CvuJ9Jm8hp5uBdZGt9cCn609wN1XufuEuy8nDD/d3PdBAro3Nn/SSd05b5a0kE6kL+UVKK4FXmlm9wMro/uY2aSZfSynNvXG5s3hW3XWirr3tVmY+uoOe/cqSIj0oVymx7r7QWBFncengbfVefwm4KauN6ybKpWQn9i3rzuBoogWLw5lyRUcRPqaSnj0Qm0pjkOH8m1Pt42MwNvfrgV0IgNCJTyyEq+NGBmZXVkd6/ZMp7z2ra5VKoX9I44fV5AQGSDqUWShtscwMzNbt2jVqu7PdCrC6m2V4BAZWOZFuMhkaHJy0qenp3v7psuXN15AVy7Dk0+m2zBoZKR/V2MP2P9HIsPGzO5y98l6z2noKQtJPYaZGXj8cRgba3xMPGRz880hWPSbcjnvFohIF/XhVamAmq2NOHoUTjklOQjEM4NGR5PPtWtXsS7MCxeqHIfIgFOgyEKatRGPPtp4WOngwRBE1q5tXCQQQhBZtQouvrj9tmZp0SK48UZNfxUZcAoUaVTPaFqyJPzUzm46+eTkczTrdbg33/v6hS8MaxO2bk3b8u6Ih8qefFJBQmQIaNZTM7UzmqqT0jMzcNll6bbvvPhi2L07XVK7kfvua/+1WSiV4MCBfNsgIj2nHkUzzdZApN3j+bbbQjG8hQuzaVe7RkdhxbxF8c2NjamYn8iQUqBoJB5uymrfiH37wjDNjTeGZLRZ88R1Nxw/Dnv2tPaakRG44QYNM4kMKQWKerqxudCZZ4bfq1aF4ngnTsCOHcWv+2QWpu0qSIgMLQWKerpRcuOxx+aW9YBw8V27tv7xRWAG69crSIgMOQWKepIW0JVK4adVJ06EAFRr9+7Wz5VWu22NX7tzp8pyiIgCRV2NprKWy2HWz4EDYXpo7bBRs+J89QJQJ7OgkoyOhnO3ev54/4gDB9STEBFAgaK+egvoxsfnrkBetSrs1hYnpsvl8A08adV0N3a3a5QQb7Ymo574M6gXISJVFCjqqQ0CpVJYULdmzdxFdtWJ6c2bw9BSowR4o1IXixZ11tZOigguXBh6Ru7agU5EGlKgqBVPi12zJtxfvx6eeioM4bjPlhCvTkw3myVVKs2WuojPbwYLFnS+iVG7VVtHRlR+Q0RSUZnxarWrsCFc0Ov9G5XL4Rs4NF5vUX1Mo/PnYXw89JgUJEQkojLjaVQqYapq7UW8USCtTkw3miVV+3i3d7pLo1xWkBCRlihQwOw3/VYSwBMTs8NIjYLJmWfO3R41ywV8rVq2THkIEWmLAgU0/6ZfO+11fDwU+UvKS4yNhQ2LZmZmcxvdECfbGxkdDdNdH3qoO+8vIgNPgQKSF9iNj4eEdvU02O3bQ5G/pOBy5Ejy3hJpxUnvRtzhiSfmFxscHw8zmo4d03RXEemIAgU0Xt8wOhqCwpYts9Ng46GbrHsItcEgvtCfOAE33ZS8PuPIETj11PnBTENMIpIBBQpovMBux47GF9usKr+WyyEgxMGg9kJfqYShsX37koPFo4/OD2YiIhnQxkUwe1GNL8gTEyF4JF1s21n5XE/19Nna95uagm3bZpPlMzONp+t2Y9W3iAgKFLNWrWrtW3i53PnwU1ISulKZGyRi7vODRW15ERGRDGnoqV31hquS1M6cWriw8Y5x8ZqORtNu3ZWPEJGeUaBoV716UKVSuL1oUVg7AbPTU+OCgfHFvVH5jDRrOuIV38pHiEgPqIRH0TRbmGcWgo6Cg4hkSCU8+knSmg7tOCciOVCgKJqkNR3aK0JEcqBAUTTtrOkQEekiBYqiqbdznmY1iUiOtI6iiFpd0yEi0kXqUYiISCIFChERSaRAISIiiRQoREQkkQKFiIgkGrgSHma2H+h0V6ElwIEMmlME+izFNCifZVA+B+izlN19ab0nBi5QZMHMphvVPOk3+izFNCifZVA+B+izJNHQk4iIJFKgEBGRRAoU9W3PuwEZ0mcppkH5LIPyOUCfpSHlKEREJJF6FCIikkiBQkREEg11oDCzV5vZD8zsATO7us7zE2b2FTP7tpndY2YX59HOZszsBjN7xMy+1+B5M7O/jD7nPWZ2Ua/bmFaKz7Iq+gzfNbOvmdmLe93GtJp9lqrjftnMjpnZm3rVtlal+Sxm9gozu9vM7jWzf+hl+9JK8f/XaWb2v83sO9HnuLzXbUzLzJ4bXZ/ui9q6sc4x2fztu/tQ/gCjwD8DvwCMAd8Bzq85ZjuwIbp9PrA373Y3+Cy/AVwEfK/B8xcDnwcM+FXgG3m3uYPP8u+AM6Lbr+nnzxIdMwp8GbgNeFPebe7gv8vpwH3ARHT/2Xm3uc3P8V7gT6PbS4FHgbG8292grWcDF0W3TwH+qc41LJO//WHuUbwMeMDdf+juR4BPAJfUHOPAqdHt04Af97B9qbn7Vwn/QzdyCXCzB18HTjezs3vTutY0+yzu/jV3fyy6+3Xg3J40rA0p/rsA/AHwN8Aj3W9R+1J8lt8HPuXu+6LjC/l5UnwOB04xMwMWR8ce60XbWuXuD7v7t6LbTwDfB86pOSyTv/1hDhTnAD+quv8g8/+RPwCsNrMHCd/4/qA3Tctcms/aj64kfFvqS2Z2DvBGYGvebcnAC4AzzOzvzewuM7s07wa16cPALxG+FH4X2OjuJ/JtUnNmthx4CfCNmqcy+dsf5kCRxluBm9z9XEIXbqeZ6d+sAMzsNwmB4j15t6UDfwG8px8uRCksAF4KvBZ4FfBfzOwF+TapLa8C7gaWARcCHzazU5Nfki8zW0zolf6huz/ejfcY5q1QHwKeW3X/3OixalcCrwZw9zvN7CRCsa1CdqsTpPmsfcPMXgR8DHiNux/Muz0dmAQ+EUY5WAJcbGbH3P0z+TarLQ8CB939EHDIzL4KvJgwbt5PLgeu9TDA/4CZ/Qvwi8A/5tus+sxsISFIVNz9U3UOyeRvf5i/HX8TOM/MnmdmY8BbgFtrjtkHrAAws18CTgL297SV2bgVuDSaAfGrwM/c/eG8G9UOM5sAPgWscfd+uwjN4e7Pc/fl7r4c+CQw1adBAuCzwMvNbIGZjQO/Qhgz7zfVf/NnAS8EfphrixqI8igfB77v7h9qcFgmf/tD26Nw92NmdhXwBcLMkxvc/V4zuwaYdvdbgXcBHzWzdxCSXJdF3zQKxcz+CngFsCTKp7wfWAjg7tsI+ZWLgQeAw4RvTYWU4rO8DygBW6Jv4se8oKw/prwAAALgSURBVBU/U3yWvtHss7j7983s74B7gBPAx9w9cVpwHlL8N/kgcJOZfZcwU+g97l7U0uP/HlgDfNfM7o4eey8wAdn+7auEh4iIJBrmoScREUlBgUJERBIpUIiISCIFChERSaRAISIiiRQoRGqY2Xurbp9uZlNV95eZ2Sej2xe2U1HYzD5gZu/OprVzzrs8rooaVXL9XNbvIcNJgUJkvvdW3T4deCZQuPuP3T0uB34hYY56z5jZ0K59kvzofzoZamb2GUKJg5OA6whl50+OFjDdS1iM+fzo/peAjwCfI5SqviY69uXAnxCKyT3p7v8tOvf3gN92971mtglYSyj/8iPgruiY50fnXEpYEPWf3P3/1bTxMuA/EqqZjprZK4A/I5RZd+CP3f2WzP9xRCIKFDLsrnD3R83sZEJZl/8AXOXuF8IzVTn/bc193P2Imb0PmHT3q6LnPlDvDczspYQSMRcS/ua+RRQoCHuerHf3+83sV4AtwG/VOc1FwIuitv5OdK4XE2pEfTOqrSTSFQoUMuz+s5m9Mbr9XOC8LrzHrwOfdvfDAGZ2a/R7MWEjpr+OypEAPKvBOb7k7vE+Ci8H/srdjwM/jXaT+2VC+QyRzClQyNCKhnBWAr/m7ofN7O8JQ1DtOsbcvF+zc40A/xr3Vpo41HarRDqkZLYMs9OAx6Ig8YuErSIBjkblmwGeIGwzWU/tc3sJQ0REexM/L3r8q8AbzOxkMzsFeB1AtHfAv5jZ70avMUu3B/j/AX7PzEbNbClhe89ClsGWwaBAIcPs74AFZvZ94FrC1qoQ8gb3mFkl2u/iDjP7npn9ec3rvwKcb2Z3m9nvEfYFONPM7gWuItqLIdqu8hbCvuyfJ+RCYquAK83sO4Tk+SUAZvb6qJJxPZ8mDDN9h7Df9h+5+0/a/lcQaULVY0VEJJF6FCIikkiBQkREEilQiIhIIgUKERFJpEAhIiKJFChERCSRAoWIiCT6/81K9ZCgpiIQAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df[\"attitude.roll\"], df[\"gravity.z\"], \"ro\")\n",
    "plt.xlabel(\"attitude.roll\")\n",
    "plt.ylabel(\"gravity.z\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'gravity.y')"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df[\"attitude.roll\"], df[\"gravity.y\"], \"ro\")\n",
    "plt.xlabel(\"attitude.roll\")\n",
    "plt.ylabel(\"gravity.y\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'gravity.x')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df[\"attitude.pitch\"], df[\"gravity.x\"], \"ro\")\n",
    "plt.xlabel(\"attitude.pitch\")\n",
    "plt.ylabel(\"gravity.x\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'gravity.y')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(df[\"attitude.pitch\"], df[\"gravity.y\"], \"ro\")\n",
    "plt.xlabel(\"attitude.pitch\")\n",
    "plt.ylabel(\"gravity.y\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Correlación Upstairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>attitude.roll</th>\n",
       "      <th>attitude.pitch</th>\n",
       "      <th>attitude.yaw</th>\n",
       "      <th>gravity.x</th>\n",
       "      <th>gravity.y</th>\n",
       "      <th>gravity.z</th>\n",
       "      <th>rotationRate.x</th>\n",
       "      <th>rotationRate.y</th>\n",
       "      <th>rotationRate.z</th>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <th>userAcceleration.y</th>\n",
       "      <th>userAcceleration.z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>attitude.roll</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.295751</td>\n",
       "      <td>0.231689</td>\n",
       "      <td>0.719953</td>\n",
       "      <td>-0.335986</td>\n",
       "      <td>-0.844102</td>\n",
       "      <td>0.073836</td>\n",
       "      <td>-0.248058</td>\n",
       "      <td>0.127036</td>\n",
       "      <td>-0.149889</td>\n",
       "      <td>-0.300989</td>\n",
       "      <td>0.335535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>attitude.pitch</th>\n",
       "      <td>0.295751</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.086416</td>\n",
       "      <td>-0.090897</td>\n",
       "      <td>-0.969392</td>\n",
       "      <td>-0.633120</td>\n",
       "      <td>0.066378</td>\n",
       "      <td>-0.245499</td>\n",
       "      <td>0.023203</td>\n",
       "      <td>0.053691</td>\n",
       "      <td>-0.141064</td>\n",
       "      <td>-0.001364</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>attitude.yaw</th>\n",
       "      <td>0.231689</td>\n",
       "      <td>0.086416</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.211820</td>\n",
       "      <td>-0.098959</td>\n",
       "      <td>-0.269213</td>\n",
       "      <td>-0.011572</td>\n",
       "      <td>0.044963</td>\n",
       "      <td>-0.004301</td>\n",
       "      <td>-0.086657</td>\n",
       "      <td>-0.028925</td>\n",
       "      <td>0.212218</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.x</th>\n",
       "      <td>0.719953</td>\n",
       "      <td>-0.090897</td>\n",
       "      <td>0.211820</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.005171</td>\n",
       "      <td>-0.504166</td>\n",
       "      <td>0.050712</td>\n",
       "      <td>-0.144598</td>\n",
       "      <td>0.086753</td>\n",
       "      <td>-0.089148</td>\n",
       "      <td>-0.232948</td>\n",
       "      <td>0.247679</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.y</th>\n",
       "      <td>-0.335986</td>\n",
       "      <td>-0.969392</td>\n",
       "      <td>-0.098959</td>\n",
       "      <td>-0.005171</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.663824</td>\n",
       "      <td>-0.053808</td>\n",
       "      <td>0.250399</td>\n",
       "      <td>-0.005030</td>\n",
       "      <td>-0.064891</td>\n",
       "      <td>0.163218</td>\n",
       "      <td>-0.008894</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.z</th>\n",
       "      <td>-0.844102</td>\n",
       "      <td>-0.633120</td>\n",
       "      <td>-0.269213</td>\n",
       "      <td>-0.504166</td>\n",
       "      <td>0.663824</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.060420</td>\n",
       "      <td>0.272056</td>\n",
       "      <td>-0.085367</td>\n",
       "      <td>0.112178</td>\n",
       "      <td>0.337527</td>\n",
       "      <td>-0.297006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.x</th>\n",
       "      <td>0.073836</td>\n",
       "      <td>0.066378</td>\n",
       "      <td>-0.011572</td>\n",
       "      <td>0.050712</td>\n",
       "      <td>-0.053808</td>\n",
       "      <td>-0.060420</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.150664</td>\n",
       "      <td>0.684690</td>\n",
       "      <td>-0.094753</td>\n",
       "      <td>-0.056494</td>\n",
       "      <td>0.032014</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.y</th>\n",
       "      <td>-0.248058</td>\n",
       "      <td>-0.245499</td>\n",
       "      <td>0.044963</td>\n",
       "      <td>-0.144598</td>\n",
       "      <td>0.250399</td>\n",
       "      <td>0.272056</td>\n",
       "      <td>-0.150664</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.004354</td>\n",
       "      <td>-0.198060</td>\n",
       "      <td>0.096660</td>\n",
       "      <td>0.006102</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.z</th>\n",
       "      <td>0.127036</td>\n",
       "      <td>0.023203</td>\n",
       "      <td>-0.004301</td>\n",
       "      <td>0.086753</td>\n",
       "      <td>-0.005030</td>\n",
       "      <td>-0.085367</td>\n",
       "      <td>0.684690</td>\n",
       "      <td>-0.004354</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.099668</td>\n",
       "      <td>-0.069432</td>\n",
       "      <td>0.073396</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <td>-0.149889</td>\n",
       "      <td>0.053691</td>\n",
       "      <td>-0.086657</td>\n",
       "      <td>-0.089148</td>\n",
       "      <td>-0.064891</td>\n",
       "      <td>0.112178</td>\n",
       "      <td>-0.094753</td>\n",
       "      <td>-0.198060</td>\n",
       "      <td>-0.099668</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.100170</td>\n",
       "      <td>-0.174623</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>userAcceleration.y</th>\n",
       "      <td>-0.300989</td>\n",
       "      <td>-0.141064</td>\n",
       "      <td>-0.028925</td>\n",
       "      <td>-0.232948</td>\n",
       "      <td>0.163218</td>\n",
       "      <td>0.337527</td>\n",
       "      <td>-0.056494</td>\n",
       "      <td>0.096660</td>\n",
       "      <td>-0.069432</td>\n",
       "      <td>-0.100170</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.347131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>userAcceleration.z</th>\n",
       "      <td>0.335535</td>\n",
       "      <td>-0.001364</td>\n",
       "      <td>0.212218</td>\n",
       "      <td>0.247679</td>\n",
       "      <td>-0.008894</td>\n",
       "      <td>-0.297006</td>\n",
       "      <td>0.032014</td>\n",
       "      <td>0.006102</td>\n",
       "      <td>0.073396</td>\n",
       "      <td>-0.174623</td>\n",
       "      <td>-0.347131</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    attitude.roll  attitude.pitch  attitude.yaw  gravity.x  \\\n",
       "attitude.roll            1.000000        0.295751      0.231689   0.719953   \n",
       "attitude.pitch           0.295751        1.000000      0.086416  -0.090897   \n",
       "attitude.yaw             0.231689        0.086416      1.000000   0.211820   \n",
       "gravity.x                0.719953       -0.090897      0.211820   1.000000   \n",
       "gravity.y               -0.335986       -0.969392     -0.098959  -0.005171   \n",
       "gravity.z               -0.844102       -0.633120     -0.269213  -0.504166   \n",
       "rotationRate.x           0.073836        0.066378     -0.011572   0.050712   \n",
       "rotationRate.y          -0.248058       -0.245499      0.044963  -0.144598   \n",
       "rotationRate.z           0.127036        0.023203     -0.004301   0.086753   \n",
       "userAcceleration.x      -0.149889        0.053691     -0.086657  -0.089148   \n",
       "userAcceleration.y      -0.300989       -0.141064     -0.028925  -0.232948   \n",
       "userAcceleration.z       0.335535       -0.001364      0.212218   0.247679   \n",
       "\n",
       "                    gravity.y  gravity.z  rotationRate.x  rotationRate.y  \\\n",
       "attitude.roll       -0.335986  -0.844102        0.073836       -0.248058   \n",
       "attitude.pitch      -0.969392  -0.633120        0.066378       -0.245499   \n",
       "attitude.yaw        -0.098959  -0.269213       -0.011572        0.044963   \n",
       "gravity.x           -0.005171  -0.504166        0.050712       -0.144598   \n",
       "gravity.y            1.000000   0.663824       -0.053808        0.250399   \n",
       "gravity.z            0.663824   1.000000       -0.060420        0.272056   \n",
       "rotationRate.x      -0.053808  -0.060420        1.000000       -0.150664   \n",
       "rotationRate.y       0.250399   0.272056       -0.150664        1.000000   \n",
       "rotationRate.z      -0.005030  -0.085367        0.684690       -0.004354   \n",
       "userAcceleration.x  -0.064891   0.112178       -0.094753       -0.198060   \n",
       "userAcceleration.y   0.163218   0.337527       -0.056494        0.096660   \n",
       "userAcceleration.z  -0.008894  -0.297006        0.032014        0.006102   \n",
       "\n",
       "                    rotationRate.z  userAcceleration.x  userAcceleration.y  \\\n",
       "attitude.roll             0.127036           -0.149889           -0.300989   \n",
       "attitude.pitch            0.023203            0.053691           -0.141064   \n",
       "attitude.yaw             -0.004301           -0.086657           -0.028925   \n",
       "gravity.x                 0.086753           -0.089148           -0.232948   \n",
       "gravity.y                -0.005030           -0.064891            0.163218   \n",
       "gravity.z                -0.085367            0.112178            0.337527   \n",
       "rotationRate.x            0.684690           -0.094753           -0.056494   \n",
       "rotationRate.y           -0.004354           -0.198060            0.096660   \n",
       "rotationRate.z            1.000000           -0.099668           -0.069432   \n",
       "userAcceleration.x       -0.099668            1.000000           -0.100170   \n",
       "userAcceleration.y       -0.069432           -0.100170            1.000000   \n",
       "userAcceleration.z        0.073396           -0.174623           -0.347131   \n",
       "\n",
       "                    userAcceleration.z  \n",
       "attitude.roll                 0.335535  \n",
       "attitude.pitch               -0.001364  \n",
       "attitude.yaw                  0.212218  \n",
       "gravity.x                     0.247679  \n",
       "gravity.y                    -0.008894  \n",
       "gravity.z                    -0.297006  \n",
       "rotationRate.x                0.032014  \n",
       "rotationRate.y                0.006102  \n",
       "rotationRate.z                0.073396  \n",
       "userAcceleration.x           -0.174623  \n",
       "userAcceleration.y           -0.347131  \n",
       "userAcceleration.z            1.000000  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\"motionsense-dataset/A_DeviceMotion_data/A_DeviceMotion_data/ups_3/sub_1.csv\")\n",
    "del df['Unnamed: 0']\n",
    "df.head()\n",
    "df.corr(method=\"pearson\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1179a5850>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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FowSAwlECQOEoAaBwlABQOEoAKBwlABSOEgAKRwkAhaMEgMJRAkDhKAGgcJQAUDhKACgcJQAUzpO/RayiO7N3S9oyw82WScrZQZaniZmkZuYi0+xUnenMiFh+tA9UWgKzYXsoIgbqznGkJmaSmpmLTLPTpEw8HQAKRwkAhWtiCQzWHeAomphJamYuMs1OYzI17jUBANVq4pEAgApRAkDhKAGgcJQAUDhKACjc/wFvG4mUgWoItwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.matshow(df.corr())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Correlación no lineal de Spearman"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>attitude.roll</th>\n",
       "      <th>attitude.pitch</th>\n",
       "      <th>attitude.yaw</th>\n",
       "      <th>gravity.x</th>\n",
       "      <th>gravity.y</th>\n",
       "      <th>gravity.z</th>\n",
       "      <th>rotationRate.x</th>\n",
       "      <th>rotationRate.y</th>\n",
       "      <th>rotationRate.z</th>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <th>userAcceleration.y</th>\n",
       "      <th>userAcceleration.z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.528132</td>\n",
       "      <td>-0.733896</td>\n",
       "      <td>0.696372</td>\n",
       "      <td>0.741895</td>\n",
       "      <td>0.669768</td>\n",
       "      <td>-0.031672</td>\n",
       "      <td>0.316738</td>\n",
       "      <td>0.778180</td>\n",
       "      <td>1.082764</td>\n",
       "      <td>0.294894</td>\n",
       "      <td>-0.184493</td>\n",
       "      <td>0.377542</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.527992</td>\n",
       "      <td>-0.716987</td>\n",
       "      <td>0.677762</td>\n",
       "      <td>0.753099</td>\n",
       "      <td>0.657116</td>\n",
       "      <td>-0.032255</td>\n",
       "      <td>0.842032</td>\n",
       "      <td>0.424446</td>\n",
       "      <td>0.643574</td>\n",
       "      <td>0.219405</td>\n",
       "      <td>0.035846</td>\n",
       "      <td>0.114866</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.527765</td>\n",
       "      <td>-0.706999</td>\n",
       "      <td>0.670951</td>\n",
       "      <td>0.759611</td>\n",
       "      <td>0.649555</td>\n",
       "      <td>-0.032707</td>\n",
       "      <td>-0.138143</td>\n",
       "      <td>-0.040741</td>\n",
       "      <td>0.343563</td>\n",
       "      <td>0.010714</td>\n",
       "      <td>0.134701</td>\n",
       "      <td>-0.167808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.516768</td>\n",
       "      <td>-0.704678</td>\n",
       "      <td>0.675735</td>\n",
       "      <td>0.760709</td>\n",
       "      <td>0.647788</td>\n",
       "      <td>-0.041140</td>\n",
       "      <td>-0.025005</td>\n",
       "      <td>-1.048717</td>\n",
       "      <td>0.035860</td>\n",
       "      <td>-0.008389</td>\n",
       "      <td>0.136788</td>\n",
       "      <td>0.094958</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.493941</td>\n",
       "      <td>-0.703918</td>\n",
       "      <td>0.672994</td>\n",
       "      <td>0.760062</td>\n",
       "      <td>0.647210</td>\n",
       "      <td>-0.058530</td>\n",
       "      <td>0.114253</td>\n",
       "      <td>-0.912890</td>\n",
       "      <td>0.047341</td>\n",
       "      <td>0.199441</td>\n",
       "      <td>0.353996</td>\n",
       "      <td>-0.044299</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   attitude.roll  attitude.pitch  attitude.yaw  gravity.x  gravity.y  \\\n",
       "0       1.528132       -0.733896      0.696372   0.741895   0.669768   \n",
       "1       1.527992       -0.716987      0.677762   0.753099   0.657116   \n",
       "2       1.527765       -0.706999      0.670951   0.759611   0.649555   \n",
       "3       1.516768       -0.704678      0.675735   0.760709   0.647788   \n",
       "4       1.493941       -0.703918      0.672994   0.760062   0.647210   \n",
       "\n",
       "   gravity.z  rotationRate.x  rotationRate.y  rotationRate.z  \\\n",
       "0  -0.031672        0.316738        0.778180        1.082764   \n",
       "1  -0.032255        0.842032        0.424446        0.643574   \n",
       "2  -0.032707       -0.138143       -0.040741        0.343563   \n",
       "3  -0.041140       -0.025005       -1.048717        0.035860   \n",
       "4  -0.058530        0.114253       -0.912890        0.047341   \n",
       "\n",
       "   userAcceleration.x  userAcceleration.y  userAcceleration.z  \n",
       "0            0.294894           -0.184493            0.377542  \n",
       "1            0.219405            0.035846            0.114866  \n",
       "2            0.010714            0.134701           -0.167808  \n",
       "3           -0.008389            0.136788            0.094958  \n",
       "4            0.199441            0.353996           -0.044299  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>attitude.roll</th>\n",
       "      <th>attitude.pitch</th>\n",
       "      <th>attitude.yaw</th>\n",
       "      <th>gravity.x</th>\n",
       "      <th>gravity.y</th>\n",
       "      <th>gravity.z</th>\n",
       "      <th>rotationRate.x</th>\n",
       "      <th>rotationRate.y</th>\n",
       "      <th>rotationRate.z</th>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <th>userAcceleration.y</th>\n",
       "      <th>userAcceleration.z</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>attitude.roll</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.140588</td>\n",
       "      <td>0.103890</td>\n",
       "      <td>0.246469</td>\n",
       "      <td>0.140586</td>\n",
       "      <td>0.994852</td>\n",
       "      <td>0.308231</td>\n",
       "      <td>0.131870</td>\n",
       "      <td>-0.041406</td>\n",
       "      <td>0.257723</td>\n",
       "      <td>-0.136073</td>\n",
       "      <td>-0.379456</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>attitude.pitch</th>\n",
       "      <td>-0.140588</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.301719</td>\n",
       "      <td>0.875059</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-0.210412</td>\n",
       "      <td>0.017204</td>\n",
       "      <td>-0.076355</td>\n",
       "      <td>0.087176</td>\n",
       "      <td>-0.331043</td>\n",
       "      <td>0.290343</td>\n",
       "      <td>0.114605</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>attitude.yaw</th>\n",
       "      <td>0.103890</td>\n",
       "      <td>0.301719</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.332761</td>\n",
       "      <td>-0.301720</td>\n",
       "      <td>0.078384</td>\n",
       "      <td>-0.141627</td>\n",
       "      <td>-0.004842</td>\n",
       "      <td>-0.060878</td>\n",
       "      <td>-0.068949</td>\n",
       "      <td>0.204624</td>\n",
       "      <td>-0.007069</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.x</th>\n",
       "      <td>0.246469</td>\n",
       "      <td>0.875059</td>\n",
       "      <td>0.332761</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.875059</td>\n",
       "      <td>0.181526</td>\n",
       "      <td>0.176933</td>\n",
       "      <td>-0.007286</td>\n",
       "      <td>0.089048</td>\n",
       "      <td>-0.166549</td>\n",
       "      <td>0.227793</td>\n",
       "      <td>-0.074165</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.y</th>\n",
       "      <td>0.140586</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-0.301720</td>\n",
       "      <td>-0.875059</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.210410</td>\n",
       "      <td>-0.017207</td>\n",
       "      <td>0.076354</td>\n",
       "      <td>-0.087176</td>\n",
       "      <td>0.331045</td>\n",
       "      <td>-0.290343</td>\n",
       "      <td>-0.114606</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.z</th>\n",
       "      <td>0.994852</td>\n",
       "      <td>-0.210412</td>\n",
       "      <td>0.078384</td>\n",
       "      <td>0.181526</td>\n",
       "      <td>0.210410</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.306343</td>\n",
       "      <td>0.141573</td>\n",
       "      <td>-0.044746</td>\n",
       "      <td>0.276417</td>\n",
       "      <td>-0.154721</td>\n",
       "      <td>-0.386758</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.x</th>\n",
       "      <td>0.308231</td>\n",
       "      <td>0.017204</td>\n",
       "      <td>-0.141627</td>\n",
       "      <td>0.176933</td>\n",
       "      <td>-0.017207</td>\n",
       "      <td>0.306343</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.167011</td>\n",
       "      <td>0.427993</td>\n",
       "      <td>0.160054</td>\n",
       "      <td>0.026168</td>\n",
       "      <td>-0.022559</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.y</th>\n",
       "      <td>0.131870</td>\n",
       "      <td>-0.076355</td>\n",
       "      <td>-0.004842</td>\n",
       "      <td>-0.007286</td>\n",
       "      <td>0.076354</td>\n",
       "      <td>0.141573</td>\n",
       "      <td>-0.167011</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.548294</td>\n",
       "      <td>-0.081897</td>\n",
       "      <td>-0.074539</td>\n",
       "      <td>-0.153012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.z</th>\n",
       "      <td>-0.041406</td>\n",
       "      <td>0.087176</td>\n",
       "      <td>-0.060878</td>\n",
       "      <td>0.089048</td>\n",
       "      <td>-0.087176</td>\n",
       "      <td>-0.044746</td>\n",
       "      <td>0.427993</td>\n",
       "      <td>-0.548294</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.078114</td>\n",
       "      <td>0.046678</td>\n",
       "      <td>0.190706</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <td>0.257723</td>\n",
       "      <td>-0.331043</td>\n",
       "      <td>-0.068949</td>\n",
       "      <td>-0.166549</td>\n",
       "      <td>0.331045</td>\n",
       "      <td>0.276417</td>\n",
       "      <td>0.160054</td>\n",
       "      <td>-0.081897</td>\n",
       "      <td>0.078114</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.013183</td>\n",
       "      <td>-0.288232</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>userAcceleration.y</th>\n",
       "      <td>-0.136073</td>\n",
       "      <td>0.290343</td>\n",
       "      <td>0.204624</td>\n",
       "      <td>0.227793</td>\n",
       "      <td>-0.290343</td>\n",
       "      <td>-0.154721</td>\n",
       "      <td>0.026168</td>\n",
       "      <td>-0.074539</td>\n",
       "      <td>0.046678</td>\n",
       "      <td>0.013183</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.274842</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>userAcceleration.z</th>\n",
       "      <td>-0.379456</td>\n",
       "      <td>0.114605</td>\n",
       "      <td>-0.007069</td>\n",
       "      <td>-0.074165</td>\n",
       "      <td>-0.114606</td>\n",
       "      <td>-0.386758</td>\n",
       "      <td>-0.022559</td>\n",
       "      <td>-0.153012</td>\n",
       "      <td>0.190706</td>\n",
       "      <td>-0.288232</td>\n",
       "      <td>0.274842</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    attitude.roll  attitude.pitch  attitude.yaw  gravity.x  \\\n",
       "attitude.roll            1.000000       -0.140588      0.103890   0.246469   \n",
       "attitude.pitch          -0.140588        1.000000      0.301719   0.875059   \n",
       "attitude.yaw             0.103890        0.301719      1.000000   0.332761   \n",
       "gravity.x                0.246469        0.875059      0.332761   1.000000   \n",
       "gravity.y                0.140586       -1.000000     -0.301720  -0.875059   \n",
       "gravity.z                0.994852       -0.210412      0.078384   0.181526   \n",
       "rotationRate.x           0.308231        0.017204     -0.141627   0.176933   \n",
       "rotationRate.y           0.131870       -0.076355     -0.004842  -0.007286   \n",
       "rotationRate.z          -0.041406        0.087176     -0.060878   0.089048   \n",
       "userAcceleration.x       0.257723       -0.331043     -0.068949  -0.166549   \n",
       "userAcceleration.y      -0.136073        0.290343      0.204624   0.227793   \n",
       "userAcceleration.z      -0.379456        0.114605     -0.007069  -0.074165   \n",
       "\n",
       "                    gravity.y  gravity.z  rotationRate.x  rotationRate.y  \\\n",
       "attitude.roll        0.140586   0.994852        0.308231        0.131870   \n",
       "attitude.pitch      -1.000000  -0.210412        0.017204       -0.076355   \n",
       "attitude.yaw        -0.301720   0.078384       -0.141627       -0.004842   \n",
       "gravity.x           -0.875059   0.181526        0.176933       -0.007286   \n",
       "gravity.y            1.000000   0.210410       -0.017207        0.076354   \n",
       "gravity.z            0.210410   1.000000        0.306343        0.141573   \n",
       "rotationRate.x      -0.017207   0.306343        1.000000       -0.167011   \n",
       "rotationRate.y       0.076354   0.141573       -0.167011        1.000000   \n",
       "rotationRate.z      -0.087176  -0.044746        0.427993       -0.548294   \n",
       "userAcceleration.x   0.331045   0.276417        0.160054       -0.081897   \n",
       "userAcceleration.y  -0.290343  -0.154721        0.026168       -0.074539   \n",
       "userAcceleration.z  -0.114606  -0.386758       -0.022559       -0.153012   \n",
       "\n",
       "                    rotationRate.z  userAcceleration.x  userAcceleration.y  \\\n",
       "attitude.roll            -0.041406            0.257723           -0.136073   \n",
       "attitude.pitch            0.087176           -0.331043            0.290343   \n",
       "attitude.yaw             -0.060878           -0.068949            0.204624   \n",
       "gravity.x                 0.089048           -0.166549            0.227793   \n",
       "gravity.y                -0.087176            0.331045           -0.290343   \n",
       "gravity.z                -0.044746            0.276417           -0.154721   \n",
       "rotationRate.x            0.427993            0.160054            0.026168   \n",
       "rotationRate.y           -0.548294           -0.081897           -0.074539   \n",
       "rotationRate.z            1.000000            0.078114            0.046678   \n",
       "userAcceleration.x        0.078114            1.000000            0.013183   \n",
       "userAcceleration.y        0.046678            0.013183            1.000000   \n",
       "userAcceleration.z        0.190706           -0.288232            0.274842   \n",
       "\n",
       "                    userAcceleration.z  \n",
       "attitude.roll                -0.379456  \n",
       "attitude.pitch                0.114605  \n",
       "attitude.yaw                 -0.007069  \n",
       "gravity.x                    -0.074165  \n",
       "gravity.y                    -0.114606  \n",
       "gravity.z                    -0.386758  \n",
       "rotationRate.x               -0.022559  \n",
       "rotationRate.y               -0.153012  \n",
       "rotationRate.z                0.190706  \n",
       "userAcceleration.x           -0.288232  \n",
       "userAcceleration.y            0.274842  \n",
       "userAcceleration.z            1.000000  "
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.corr(method=\"spearman\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>attitude.roll</th>\n",
       "      <th>attitude.pitch</th>\n",
       "      <th>attitude.yaw</th>\n",
       "      <th>gravity.x</th>\n",
       "      <th>gravity.y</th>\n",
       "      <th>gravity.z</th>\n",
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       "      <th>rotationRate.y</th>\n",
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       "      <th>userAcceleration.y</th>\n",
       "      <th>userAcceleration.z</th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>attitude.roll</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.174992</td>\n",
       "      <td>0.017448</td>\n",
       "      <td>0.244522</td>\n",
       "      <td>0.176398</td>\n",
       "      <td>0.989750</td>\n",
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       "    <tr>\n",
       "      <th>attitude.pitch</th>\n",
       "      <td>-0.174992</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.408419</td>\n",
       "      <td>0.870057</td>\n",
       "      <td>-0.997818</td>\n",
       "      <td>-0.259796</td>\n",
       "      <td>0.024358</td>\n",
       "      <td>-0.081630</td>\n",
       "      <td>0.079436</td>\n",
       "      <td>-0.316406</td>\n",
       "      <td>0.245931</td>\n",
       "      <td>0.111762</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>attitude.yaw</th>\n",
       "      <td>0.017448</td>\n",
       "      <td>0.408419</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.393436</td>\n",
       "      <td>-0.414980</td>\n",
       "      <td>-0.019386</td>\n",
       "      <td>-0.132540</td>\n",
       "      <td>-0.054435</td>\n",
       "      <td>-0.019424</td>\n",
       "      <td>-0.103988</td>\n",
       "      <td>0.189223</td>\n",
       "      <td>0.038412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.x</th>\n",
       "      <td>0.244522</td>\n",
       "      <td>0.870057</td>\n",
       "      <td>0.393436</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.861289</td>\n",
       "      <td>0.166455</td>\n",
       "      <td>0.173899</td>\n",
       "      <td>-0.002022</td>\n",
       "      <td>0.064475</td>\n",
       "      <td>-0.166032</td>\n",
       "      <td>0.210132</td>\n",
       "      <td>-0.062217</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.y</th>\n",
       "      <td>0.176398</td>\n",
       "      <td>-0.997818</td>\n",
       "      <td>-0.414980</td>\n",
       "      <td>-0.861289</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.262819</td>\n",
       "      <td>-0.023037</td>\n",
       "      <td>0.085809</td>\n",
       "      <td>-0.079014</td>\n",
       "      <td>0.317511</td>\n",
       "      <td>-0.250575</td>\n",
       "      <td>-0.110683</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gravity.z</th>\n",
       "      <td>0.989750</td>\n",
       "      <td>-0.259796</td>\n",
       "      <td>-0.019386</td>\n",
       "      <td>0.166455</td>\n",
       "      <td>0.262819</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.304289</td>\n",
       "      <td>0.150985</td>\n",
       "      <td>-0.062916</td>\n",
       "      <td>0.277098</td>\n",
       "      <td>-0.124270</td>\n",
       "      <td>-0.373650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.x</th>\n",
       "      <td>0.300941</td>\n",
       "      <td>0.024358</td>\n",
       "      <td>-0.132540</td>\n",
       "      <td>0.173899</td>\n",
       "      <td>-0.023037</td>\n",
       "      <td>0.304289</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.194066</td>\n",
       "      <td>0.357653</td>\n",
       "      <td>0.176945</td>\n",
       "      <td>0.068974</td>\n",
       "      <td>-0.003272</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rotationRate.y</th>\n",
       "      <td>0.137303</td>\n",
       "      <td>-0.081630</td>\n",
       "      <td>-0.054435</td>\n",
       "      <td>-0.002022</td>\n",
       "      <td>0.085809</td>\n",
       "      <td>0.150985</td>\n",
       "      <td>-0.194066</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.586079</td>\n",
       "      <td>-0.053177</td>\n",
       "      <td>-0.073973</td>\n",
       "      <td>-0.186613</td>\n",
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       "    <tr>\n",
       "      <th>rotationRate.z</th>\n",
       "      <td>-0.058952</td>\n",
       "      <td>0.079436</td>\n",
       "      <td>-0.019424</td>\n",
       "      <td>0.064475</td>\n",
       "      <td>-0.079014</td>\n",
       "      <td>-0.062916</td>\n",
       "      <td>0.357653</td>\n",
       "      <td>-0.586079</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.123178</td>\n",
       "      <td>0.029901</td>\n",
       "      <td>0.182828</td>\n",
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       "    <tr>\n",
       "      <th>userAcceleration.x</th>\n",
       "      <td>0.255000</td>\n",
       "      <td>-0.316406</td>\n",
       "      <td>-0.103988</td>\n",
       "      <td>-0.166032</td>\n",
       "      <td>0.317511</td>\n",
       "      <td>0.277098</td>\n",
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       "      <td>0.061279</td>\n",
       "      <td>-0.280189</td>\n",
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       "      <th>userAcceleration.y</th>\n",
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       "      <td>-0.250575</td>\n",
       "      <td>-0.124270</td>\n",
       "      <td>0.068974</td>\n",
       "      <td>-0.073973</td>\n",
       "      <td>0.029901</td>\n",
       "      <td>0.061279</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.227141</td>\n",
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       "    <tr>\n",
       "      <th>userAcceleration.z</th>\n",
       "      <td>-0.365342</td>\n",
       "      <td>0.111762</td>\n",
       "      <td>0.038412</td>\n",
       "      <td>-0.062217</td>\n",
       "      <td>-0.110683</td>\n",
       "      <td>-0.373650</td>\n",
       "      <td>-0.003272</td>\n",
       "      <td>-0.186613</td>\n",
       "      <td>0.182828</td>\n",
       "      <td>-0.280189</td>\n",
       "      <td>0.227141</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    attitude.roll  attitude.pitch  attitude.yaw  gravity.x  \\\n",
       "attitude.roll            1.000000       -0.174992      0.017448   0.244522   \n",
       "attitude.pitch          -0.174992        1.000000      0.408419   0.870057   \n",
       "attitude.yaw             0.017448        0.408419      1.000000   0.393436   \n",
       "gravity.x                0.244522        0.870057      0.393436   1.000000   \n",
       "gravity.y                0.176398       -0.997818     -0.414980  -0.861289   \n",
       "gravity.z                0.989750       -0.259796     -0.019386   0.166455   \n",
       "rotationRate.x           0.300941        0.024358     -0.132540   0.173899   \n",
       "rotationRate.y           0.137303       -0.081630     -0.054435  -0.002022   \n",
       "rotationRate.z          -0.058952        0.079436     -0.019424   0.064475   \n",
       "userAcceleration.x       0.255000       -0.316406     -0.103988  -0.166032   \n",
       "userAcceleration.y      -0.104904        0.245931      0.189223   0.210132   \n",
       "userAcceleration.z      -0.365342        0.111762      0.038412  -0.062217   \n",
       "\n",
       "                    gravity.y  gravity.z  rotationRate.x  rotationRate.y  \\\n",
       "attitude.roll        0.176398   0.989750        0.300941        0.137303   \n",
       "attitude.pitch      -0.997818  -0.259796        0.024358       -0.081630   \n",
       "attitude.yaw        -0.414980  -0.019386       -0.132540       -0.054435   \n",
       "gravity.x           -0.861289   0.166455        0.173899       -0.002022   \n",
       "gravity.y            1.000000   0.262819       -0.023037        0.085809   \n",
       "gravity.z            0.262819   1.000000        0.304289        0.150985   \n",
       "rotationRate.x      -0.023037   0.304289        1.000000       -0.194066   \n",
       "rotationRate.y       0.085809   0.150985       -0.194066        1.000000   \n",
       "rotationRate.z      -0.079014  -0.062916        0.357653       -0.586079   \n",
       "userAcceleration.x   0.317511   0.277098        0.176945       -0.053177   \n",
       "userAcceleration.y  -0.250575  -0.124270        0.068974       -0.073973   \n",
       "userAcceleration.z  -0.110683  -0.373650       -0.003272       -0.186613   \n",
       "\n",
       "                    rotationRate.z  userAcceleration.x  userAcceleration.y  \\\n",
       "attitude.roll            -0.058952            0.255000           -0.104904   \n",
       "attitude.pitch            0.079436           -0.316406            0.245931   \n",
       "attitude.yaw             -0.019424           -0.103988            0.189223   \n",
       "gravity.x                 0.064475           -0.166032            0.210132   \n",
       "gravity.y                -0.079014            0.317511           -0.250575   \n",
       "gravity.z                -0.062916            0.277098           -0.124270   \n",
       "rotationRate.x            0.357653            0.176945            0.068974   \n",
       "rotationRate.y           -0.586079           -0.053177           -0.073973   \n",
       "rotationRate.z            1.000000            0.123178            0.029901   \n",
       "userAcceleration.x        0.123178            1.000000            0.061279   \n",
       "userAcceleration.y        0.029901            0.061279            1.000000   \n",
       "userAcceleration.z        0.182828           -0.280189            0.227141   \n",
       "\n",
       "                    userAcceleration.z  \n",
       "attitude.roll                -0.365342  \n",
       "attitude.pitch                0.111762  \n",
       "attitude.yaw                  0.038412  \n",
       "gravity.x                    -0.062217  \n",
       "gravity.y                    -0.110683  \n",
       "gravity.z                    -0.373650  \n",
       "rotationRate.x               -0.003272  \n",
       "rotationRate.y               -0.186613  \n",
       "rotationRate.z                0.182828  \n",
       "userAcceleration.x           -0.280189  \n",
       "userAcceleration.y            0.227141  \n",
       "userAcceleration.z            1.000000  "
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x11f8dbbd0>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.matshow(df.corr(method=\"spearman\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Autocorrelación"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "roll = np.asarray(df[\"attitude.roll\"])\n",
    "roll = roll - roll.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "cor = np.correlate(roll, roll, mode='full')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1219d0d90>]"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(cor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i, col in enumerate(df):\n",
    "    cor = np.correlate(df[col], df[col], mode='full')\n",
    "    plt.subplot(6, 2, i + 1)\n",
    "    plt.plot(cor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}