{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "thick-cedar",
   "metadata": {},
   "source": [
    "# Permutation tests\n",
    "\n",
    "We demonstrate the tests from the permutation module. \n",
    "\n",
    "Permutations are generic way to estimate the distribution of the test statistic under the null hypothesis that both samples originate have been drawn from the same population. Once the distribution of the test statistic under the null is known, we can compute the p-value for the actually obtained value of the test statistic.\n",
    "\n",
    "The results are compared to the corresponding tests in scipy, which compute the p-value either exactly, if possible, or with asymptotic theory. Our example samples are drawn from the normal distribution, where the mean and the variance is varied."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "related-costa",
   "metadata": {},
   "outputs": [],
   "source": [
    "from resample import permutation as perm\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "lesbian-professor",
   "metadata": {},
   "outputs": [],
   "source": [
    "rng = np.random.default_rng(1)\n",
    "\n",
    "d = {\n",
    "    \"x\": rng.normal(0, 1, size=100),\n",
    "    \"y\": rng.normal(1, 1, size=100),\n",
    "    \"z\": rng.normal(0, 2, size=100)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "reverse-boxing",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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rp//85z8U4QBgJ86IAwAAAADgQPwdcQAAAAAAHIhCHAAAAAAAB6IQBwAAAADAgSjES4AdO3Zo7NixOnv2bJ76P/HEE7JYLNaXh4eHateurdGjR+vSpUsFOrYFCxaoXr168vT0VK1atTRz5sw8r7tv3z51795dISEh8vT0VOXKlXXXXXfZtY3cfPTRR2rSpIk8PT1VrVo1jRkzRpcvXy6w7QPOnM9M27dvt+7vr7/+sllWvXp1m/Fc/apVq1au205NTdWMGTMUFhYmX19flStXTg0aNFDfvn31448/Fvhc+vTpI4vFoq5du9q0f/HFF9edh8Vi0cSJEwt8LChZyDJZRvHijJk9fvy4xo0bp2bNmsnPz08BAQFq27atPv/88zxv4+eff1b37t3l5+cnb29vtWrVKts/HXg927dvV+fOnVW5cmXr77/33HOPli5dmp8p2XCG+RUnPDW9BNixY4fGjRunJ554QuXKlcvTOh4eHpo/f74kKSkpSWvXrtWECRN05MgRLVmypEDG9fbbb+uZZ55RdHS0hgwZom3btum5557ThQsXNGzYsBzX3bFjh9q1a6dq1aqpT58+CgoK0vHjx/X1119rxowZevbZZ294fJ9++qnuu+8+tW3bVjNnztS+ffv00ksv6eTJk5o9e/YNbx+QnDefmTIyMvTss8/Kx8dH58+fz7J8+vTp+ueff2zafvvtN40aNUqdOnXKdfvR0dH69NNP9fDDD6tPnz5KS0vTjz/+qHXr1qlFixaqW7dugc3l22+/1aJFi+Tp6ZllWb169bR48eIs7YsXL9Znn32Wp7ng5kaWyTKKF2fM7Nq1azV58mTdd9996tWrly5fvqz33ntPd911l9555x09+eSTOa5//PhxRUREyNXVVUOHDpWPj48WLlyoTp06afPmzbrzzjtzXH/lypV66KGH1LhxYw0cOFB+fn46evSovvzyS82bN0+PPPJIsZ5fsWNQ7L366qtGkjl69Gie+vfq1cv4+PjYtGVkZJg77rjDWCwWk5CQcMNjunDhgilfvryJioqyae/Zs6fx8fExp0+fznH9Ll26mAoVKpgzZ85kWZaYmHjD4zPGmPr165tGjRqZtLQ0a9vIkSONxWIxBw8eLJB9AM6Yz6vNnj3blC9f3gwcONBIMqdOncp1nQkTJhhJ5quvvsqx365du4wkM3HixCzLLl++bP766698j/taGRkZJiIiwjz11FMmJCQky3vP9dSsWdPUqlWrwMaBkossk2UUL86Y2f3792fJ5qVLl0zdunVNlSpVcl2/f//+xs3Nzfz444/WtvPnz5uqVauaJk2a5Lp+/fr1TYMGDUxKSkqWZQXx+3VRz6+44dL0Ym7s2LEaOnSoJCk0NNR6Oc2vv/5q13YsFotatWolY4x++eWXGx5XbGys/v77b/Xv39+mPSYmRufPn9f69etzXP/IkSNq0KBBtt9gVqxY8YbHd+DAAR04cEB9+/aVm9v/Lgzp37+/jDFatWrVDe8DcNZ8Zjp9+rRGjRql8ePH5/lsgSQtXbpUoaGhatGiRY79jhw5Iklq2bJllmWurq4qX768XePNyeLFi7V//367LkvdtWuXfv75Z/Xs2bPAxoGSiSyTZRQvzprZBg0aKCAgwKbNw8NDXbp00e+//65z587luP62bdsUFhamOnXqWNu8vb117733avfu3frpp59yXP/IkSMKDw+Xu7t7lmUF8ft1Uc+vuOHS9GLu/vvv1+HDh7Vs2TJNmzbN+sNfoUIFu7eV+ebk5+dn037mzBmlp6fnur63t7e8vb0lSXv27JEk3X777TZ9mjZtKhcXF+3Zs0ePPvrodbcVEhKiuLg47d+/Xw0bNsxxv0lJSUpLS8t1fJ6enipdunSO4wsODlaVKlWsy4Eb4az5zPTiiy8qKChITz/9tCZMmJCncezZs0cHDx7UyJEjc+0bEhIiSVqyZIlatmxp86XXtdLS0pSUlJSnMfj7+8vF5X/fI587d07Dhg3Tf/7zHwUFBeVpG5njksQv78gVWSbLKF6cPbPXSkhIyFO/lJSULOPI3IckxcfH5/jMh5CQEG3evFm///67qlSpkuO+iuP8ip0iPR+PApHfS29OnTplTp06ZX7++WczdepUY7FYTMOGDU1GRoZN/5CQECMp19eYMWOs68TExBhXV9ds91+hQgXTo0ePHMf42WefGVdXV+Pq6moiIiLMCy+8YDZu3GhSU1Oz9G3Tpk2exterV68sx+zYsWNZthceHm7uuOOOHMcH5JUz5tMYY7777jvj6upqNm7caIwxZsyYMXm6nPXf//63kWQOHDiQ61wyMjKs+QwMDDQPP/ywmTVrlvntt9+y9I2Njc3TPLI7ls8//7wJDQ01ly5dsh6T3C5nvXz5sgkMDDTNmjXLdR6AMWSZLKO4cdbMXuunn34ynp6e5rHHHst1jPfcc48pV66cSU5OtmmPiIgwkszUqVNzXH/BggVGknF3dzft2rUzL774otm2bZtJT0/P0rc4zq+44Yz4Ter8+fNZvhVs1aqV3n33XVksFpv2JUuW6OLFi7lu85ZbbrH+98WLF7O97EW6cmY6t+3dddddiouL06RJk7Rx40bFxcVpypQpqlChgubPn697773X2ve1117TmTNnch1fcHCwzfikK5fLZDe+5OTkXLcHFJbCzqckPffcc+rcubNdDzbKyMjQBx98oLCwMNWrVy/X/haLRRs3btTUqVP1/vvva9myZVq2bJliYmL04IMP6u2337ZeRtuoUSNt2rQpT+O4+kzZ4cOHNWPGDC1btizbPF/P5s2blZiYqP/85z95XgewF1nOGVmGs3FEZq924cIFPfDAA/Ly8tIrr7yS67b69eunjz/+WA899JAmTpwoHx8fvfXWW/r2228lKdfxPPXUU6pcubJef/11xcbGKjY2VhMmTNAtt9yixYsX29ymUhznV9xQiN+kPD099fHHH0uSfv/9d02ZMkUnT56Ul5dXlr7Z3ROWGy8vL6Wmpma77NKlS9nu51rh4eFavXq1UlNT9d1332nNmjWaNm2aunfvrr1796p+/fqSrlzunp/xSVcugcnv+IDCUtj5XL58uXbs2KH9+/fbtd7WrVv1xx9/aPDgwXlex8PDQyNHjtTIkSN14sQJbd26VTNmzNCKFStUqlQpvf/++5KuXPLXsWNHu8YjSQMHDlSLFi0UHR1t13pLliyRq6urHnroIbv3CeQVWc47sgxnUNiZvVp6erp69OihAwcO6NNPP7U5YXQ9nTt31syZMzV8+HA1adJEklSzZk1NnDhRL7zwgvUWzJxERkYqMjJSFy5cUHx8vJYvX645c+aoa9eu+vHHH633ihfX+RUnFOI3KVdXV5sPysjISNWtW1dPP/20PvroI5u+p06dytM9IqVLl7YGpFKlSkpPT9fJkydtHv6Qmpqqv//+O09hzOTu7q7w8HCFh4erdu3aevLJJ7Vy5UqNGTNG0pWH1Fyv6L+al5eXypYtax2fJJ04cUJVq1a16XfixAk1a9Ysz+MDClph53Po0KF64IEH5O7ubr33LfPvrB4/flypqanZZnTJkiVycXHRww8/nK95VapUST169FB0dLQaNGigFStWaNGiRXJzc1NqaqpOnz6dp+1UqFBBrq6u2rJlizZs2KDVq1fbPIDn8uXLunjxon799Vf5+/vL19fXZv2LFy9qzZo16tixowIDA/M1FyAvyHLOyDKcTWFn9mp9+vTRunXrtGTJErVv3z7PYxwwYICefPJJff/993J3d1fjxo21YMECSVLt2rXzvB1vb2+1bt1arVu3VkBAgMaNG6dPP/1UvXr1klT851csFPW18bhxU6dOveE/z2DM/+4ri4uLs2nPzz0i69atM5LM+vXrbbb11VdfGUnmvffes3uexhizb98+I8k8/fTT1rb83CO+f/9+I8nMmjXLZvt//PGHkWTGjx+fr/EB13LGfObWt1GjRln2f+nSJVOuXDnTvn17e6Z/XdHR0UaSOXHihDEmf/eVLly4MNe+06ZNy7LvDz744Ibeh3BzIsvZI8twVs6Y2UzPP/+8kWSmT5+en6ll8cADDxgvLy9z9uzZfK3/8ccfG0lm0qRJ1raSND9nxRnxEsDHx0fS/74Fz69nn31Wr776ql555RV9+OGH1vb83CPSvn17+fv7a/bs2erSpYu1ffbs2fL29lZUVFSO24qNjVXbtm2z3I/zySefSJLNnzXIzz3iDRo0UN26dTV37lw9/fTTcnV1tY7PYrGoe/fuuW4PyAtnzOeaNWuyLP/ggw+0fPlyvffee9k+SfWTTz7R2bNn7Xoq8U8//SQPDw9Vq1bNpv3s2bOKi4uTn5+f9V68/NxX2r59+2zn0rdvX4WEhGjkyJG69dZbsyxfunSpvL299a9//SvPcwHIMllG8eKMmZWkV199VVOnTtV//vMfDRw48LrrJSUl6cSJE6pUqZL1is7s7NixQ6tXr1a/fv1y7CddeaZChw4dsrRn9/t1cZxfsVPU3wTgxu3atctIMl26dDHvvfeeWbZsmfnnn3+u2/963/gZc+Vp5xaLJU9PUc3NrFmzjCTTvXt3M2/ePPP4448bSWbixIm5rtugQQMTGhpqhgwZYubOnWvefPNN88gjjxhXV1dTvXp1c+bMmRse38cff2wsFotp3769mTt3rnnuueeMi4uL6dOnzw1vG8jkrPm8Vm5PWo6OjjYeHh52fRu9cuVKU6pUKXPvvfeaV1991SxYsMCMHz/e1KhRo0C/Kb9WTk9a/vvvv02pUqVy/csNwLXIMllG8eKMmV29erWRZGrVqmUWL16c5ZWQkGDtm3mlyMKFC61tv/76q2nWrJl56aWXzPz5883gwYONl5eXCQsLy/Kk8ez4+PiYhg0bmhEjRpj58+ebGTNmmHvuucdIMuHh4SYtLa1Yz6+4oRAvISZMmGAqV65sXFxccr0MJ6c3miNHjhhXV1eby7hvxNy5c02dOnWMu7u7qVGjhpk2bVqWP/+QnU8//dQ89dRTpm7duqZ06dLG3d3d1KxZ0zz77LMmMTGxQMZmjDFr1qwxjRs3Nh4eHqZKlSpm1KhR2f6JNOBGOGs+r5bTL+9JSUnG09PT3H///XZtMzEx0bzyyiumTZs2plKlSsbNzc34+fmZ9u3bm1WrVhXU0LPI6Zf3OXPmGEnmo48+KrT9o+Qiy2QZxYuzZTYzn9d7xcbGWvtmV6iePn3adOvWzQQFBRl3d3cTGhpqhg0bluciddmyZaZHjx6mRo0axsvLy3h6epr69eubkSNHFkihW9TzK24sxhhTiCfcAQAAAADAVVyKegAAAAAAANxMKMQBAAAAAHAgCnEAAAAAAByIQhwAAAAAAAeiEAcAAAAAwIEoxAEAAAAAcCAKcQAAAAAAHIhCvBAsWrRIFovF+vL09FTt2rU1YMAAJSYm5rr+1etaLBb5+vqqTZs2Wr9+fYGN8cSJExo+fLjatWunMmXKyGKx6IsvvrBrG3/88YcefPBBlStXTr6+vurWrZt++eWXbPsuWLBA9erVk6enp2rVqqWZM2fmeT/79u1T9+7dFRISIk9PT1WuXFl33XWXXdvIyfLly/Xoo4+qVq1aslgsatu2rd3byOv87DlmKHrFIcuSdPbsWfXt21cVKlSQj4+P2rVrp927d+d5/YMHD+ruu+9W6dKl5e/vr8cee0ynTp3K0i8jI0NTpkxRaGioPD09ddttt2nZsmV53s/27dvVuXNnVa5cWZ6enqpWrZruueceLV26NM/byM2NvNekpKRo2LBhCg4OlpeXl5o3b65NmzZl23fHjh1q1aqVvL29FRQUpOeee07//PNPQU0DBYgc2yLH/0OOixeybOvnn39W9+7d5efnJ29vb7Vq1UqxsbF53k9JyXJaWprGjRunW265RR4eHrrlllv00ksv6fLlywU2j0JjUOAWLlxoJJnx48ebxYsXm3nz5plevXoZFxcXExoaas6fP5/j+pLMXXfdZRYvXmzee+89M2HCBBMcHGwsFovZsGFDgYwxNjbWSDK1atUyERERRpKJjY3N8/rnzp0ztWrVMhUrVjSTJ082r7/+uqlataqpUqWK+euvv2z6zpkzx0gy0dHRZu7cueaxxx4zkswrr7yS636++uor4+7ubmrWrGkmTJhg5s2bZ0aPHm06depkatSoYe+0s9WmTRtTunRp065dO+Pn52fatGlj1/p5nZ89xwzOoThkOT093bRo0cL4+PiYsWPHmjfffNPUr1/flClTxhw+fDjX9Y8fP24CAgJMjRo1zIwZM8zEiRONn5+fadSokUlJSbHpO3z4cCPJ9OnTx8ydO9dERUUZSWbZsmW57mfFihXGYrGYsLAwM3nyZDN37lwzYsQI07JlS9O2bdt8z/9qN/JeY4wxPXr0MG5ubub55583b7/9tomIiDBubm5m27ZtNv327NljPD09TVhYmJk9e7YZOXKk8fDwMHfffXeBzAMFixyTY3JcMpDl/2X52LFjJiAgwAQGBpqJEyea6dOnm0aNGhk3NzezdevWXPdTkrL84IMPGovFYnr37m1mz55tevXqZX2Pc3YU4oUg843im2++sWkfMmSIkWSWLl2a4/qSTExMjE3bgQMHjCTTuXPnAhljcnKy+fvvv40xxqxcudLuQnzy5MlGktm1a5e17eDBg8bV1dWMGDHC2nbhwgVTvnx5ExUVZbN+z549jY+Pjzl9+nSO++nSpYupUKGCOXPmTJZliYmJeR5vTo4dO2bS09ONMcY0aNDArkLcnvnl9ZjBeRSHLC9fvtxIMitXrrS2nTx50pQrV848/PDDua7fr18/4+XlZX777Tdr26ZNm4wk8/bbb1vbfv/9d1OqVCmb+WRkZJjWrVubKlWqmMuXL+e4n/r165sGDRpkKQqMKZgs3+h7zc6dO40k8+qrr1rbLl68aGrUqGEiIiJs+nbu3NlUqlTJJCUlWdvmzZtnJJmNGzfe8FxQsMgxOSbHJQNZ/l+W+/fvb9zc3MyPP/5obTt//rypWrWqadKkSa77KSlZ3rVrl5FkXnzxRZv1//3vfxuLxWK+++67G55LYeLSdAdq3769JOno0aN2r1uvXj0FBAToyJEjBTKWMmXKyN/fP9/rr1q1SuHh4QoPD7e21a1bVx06dNCKFSusbbGxsfr777/Vv39/m/VjYmJ0/vz5XC8HOnLkiBo0aKBy5cplWVaxYsV8j/9qVatWlYtL/qJgz/zyeszg/Jwpy6tWrVJgYKDuv/9+a1uFChX04IMPau3atUpJSclx/f/+97/q2rWrqlWrZm3r2LGjateubfNzuXbtWqWlpdn8rFssFvXr10+///674uLictzPkSNHFB4eLnd39yzLCiLLN/pes2rVKrm6uqpv377WNk9PT/Xu3VtxcXE6fvy4JCk5OVmbNm3So48+Kl9fX2vfxx9/XKVLlybLxQg5voIck+Pi7mbM8rZt2xQWFqY6depY27y9vXXvvfdq9+7d+umnn3LcT0nJ8rZt2yRJPXr0sFm/R48eMsZo+fLlNzyXwkQh7kCZIS9fvrzd6yYlJenMmTPy8/OzaU9LS9Nff/2Vp1dGRkaBzCMjI0Pff/+9br/99izLmjVrpiNHjujcuXOSpD179khSlr5NmzaVi4uLdfn1hISEKD4+Xvv37891XElJSXk6DgV5/1de52fPMYPzc6Ys79mzR02aNMnyZVKzZs104cIFHT58+Lpj+eOPP3Ty5Mnr/lxenc89e/bIx8dH9erVy9Ivc3lOQkJCtHnzZv3+++859pOkM2fO5Ok4XLhwwWZ8Uv7fa/bs2aPatWvb/FJ+9fz27t0r6cozKy5fvpxlP+7u7mrcuHGu+4HzIMe2/TKX54QcwxndjFlOSUmRl5dXln7e3t6SpPj4+BznXVKynPnFxrXHIq/Hoai5FfUASrLMwvDSpUv66quvNH78eHl5ealr1665rnvp0iX99ddfMsbo2LFjGjVqlNLT09W9e3ebfl999ZXatWuXp/EcPXpU1atXz89UbJw+fVopKSmqVKlSlmWZbX/++afq1KmjEydOyNXVNcu3a+7u7ipfvrz+/PPPHPf1/PPPq3PnzmrcuLGaNWum1q1bq0OHDmrXrp1KlSpl07dbt27aunVrruPv1auXFi1alGu/vMjr/Ow5ZnA+zpzlEydO6M4778zS5+qfq1tvvTXb7Zw4ccKm77XrZ/7cenh46MSJEwoMDJTFYrnufnIybNgw9e7dWzVq1FDLli3VqlUrderUSS1atMjyC0tYWJh+++23HLcnSWPGjNHYsWOtc7mR95oTJ07kms/Mfle3X9s389t5OB9yTI7JcclAlj1Up04dbdu2TefOnVOZMmWs/bZv3y7pSlGfk5KS5czfm7/66iuFhoZa+2VmOLfjUNQoxAtRx44dbf4dEhKiJUuWqHLlyrmuu2DBAi1YsMD671KlSumFF17QkCFDbPo1atTouk8DvVZQUFCe+uXm4sWLkiQPD48syzw9PW36XLx4MdvLXjL7Zva7nrvuuktxcXGaNGmSNm7cqLi4OE2ZMkUVKlTQ/Pnzde+991r7vvbaazpz5kyu4w8ODs61T17ldX72HDM4H2fO8sWLF/P9c5XXn0sPD48b2o8kPfXUU6pcubJef/11xcbGKjY2VhMmTNAtt9yixYsXq0WLFta+S5YsyVMebrnlFpu53Mh7TV7nl9sxI8fOixyTY3JcMpBlD/Xr108ff/yxHnroIU2cOFE+Pj5666239O233+a6H6nkZLlLly4KCQnR888/L29vbzVt2lQ7d+7UyJEj5ebm5vRZphAvRLNmzVLt2rXl5uamwMBA1alTJ8/3Infr1k0DBgxQamqqvvnmG7388su6cOFClvX9/PyyvCEVtszLP7K7z+XSpUs2fby8vJSamprtdi5dupTtZTXXCg8P1+rVq5WamqrvvvtOa9as0bRp09S9e3ft3btX9evXl3TlchdHy+v87DlmcD7OnGUvL698/1zZm+Ub/fmNjIxUZGSkLly4oPj4eC1fvlxz5sxR165d9eOPP1q/OW/ZsmWu28puLjfyXpPX+eV2zMix8yLH5JgclwxkWercubNmzpyp4cOHq0mTJpKkmjVrauLEiXrhhRdUunTpXMdaErLs6emp9evX68EHH1R0dLSkK19kTJkyRRMnTszTcShKFOKFqFmzZtne55EXVapUsb4BdOnSRQEBARowYIDatWtn8wCI1NRUnT59Ok/brFChglxdXfM1nqv5+/tbL3G7VmZb5lnnSpUqKT09XSdPnrS5PCU1NVV///23XWen3d3drQ87q127tp588kmtXLlSY8aMkXTl8u/rhf5qXl5eKlu2bJ73m5O8zs+eYwbn48xZrlSpUr5/rjIv8bre+pk/t5l9Y2NjZYyxuaw1Pz+/3t7eat26tVq3bq2AgACNGzdOn376qXr16iVJOnXqlNLT03PdTunSpa0fsjf6XlOpUqVsL2HL7j3t6vZr+5Jj50WOyTE5LhnI8hUDBgzQk08+qe+//976fIPMs/21a9fO09il4p1lSWrQoIH279+vAwcO6MyZM6pfv768vLw0ePBgtWnTJvcDUIR4WFsx8fTTT6tGjRoaNWqUjDHW9h07dqhSpUp5emU+YfBGubi46NZbb7Ve/nK1nTt36pZbbrHer9K4cWNJytL322+/VUZGhnW5vTLfgK9+s7r//vvzdBwGDhyYr31mJ6/zs+eYoWQr6Cw3btxYu3fvzvIwxp07d8rb2zvHD+PKlSurQoUK2f5c7tq1yyafjRs31oULF3Tw4MEs+8lcnh/ZZTk8PDxPx2Hq1Kk245Py/17TuHFjHT58WMnJyTnOr2HDhnJzc8uyn9TUVO3duzffxwHFCzm2RY5RXBXXLGfy8fFRRESEmjZtKldXV33++efy8vLK11lsqfhlOZPFYlGDBg3UqlUr+fv7KzY2VhkZGQ6/athenBEvJtzc3PTvf/9b/fv319q1a3XfffdJcsw94seOHdOFCxdUt25da1v37t01fPhwffvtt9bQHjp0SFu2bNHzzz9v7de+fXv5+/tr9uzZ6tKli7V99uzZ8vb2VlRUVI77jo2NVdu2bbM8WOaTTz6RJJuHmxX2PeIXLlzQsWPHFBAQoICAAEn2zS+vxwwlW0FnuXv37lq1apVWr15tfdjMX3/9pZUrV+qee+6x+fY888myNWrUsLZFR0fr3Xff1fHjx1W1alVJ0ubNm3X48GENHjzY2q9bt24aPHiw3nrrLb355puSJGOM5syZo8qVK9vcT5adzZs3q0OHDlnas8tyfu5HsyeLmU94rVatmvXJqt27d9fUqVM1d+5cax5TUlK0cOFCNW/e3HpsypYtq44dO+r999/Xiy++aP0CbfHixfrnn3/0wAMP5DpuFH/k2BY5RnFVXLOcnR07dmj16tXq169frld+lpQsZ+fixYt68cUXValSJT388MO5jrtIFclfLy/hFi5caCSZb775Jl/rSzIxMTFZ2i9cuGACAgLMHXfccaNDNMYYM2HCBDNhwgTTo0cPI8k89dRT1rartWnTxlz7o5KcnGxq1KhhKlasaKZMmWKmTZtmqlataoKDg83Jkydt+s6aNctIMt27dzfz5s0zjz/+uJFkJk6cmOsYGzRoYEJDQ82QIUPM3LlzzZtvvmkeeeQR4+rqaqpXr27OnDlzw8dh69at1nlXrFjRVK9e3frvrVu3WvvFxsYaSWbMmDH5mp89xwzOoThk+fLly+aOO+4wpUuXNuPGjTOzZs0yDRo0MGXKlDE//vijTd+QkBATEhJi03bs2DFTvnx5U6NGDfPGG2+Yl19+2fj5+Zlbb73VXLp0yabv0KFDjSTTt29fM2/ePBMVFWUkmSVLluQ6Th8fH9OwYUMzYsQIM3/+fDNjxgxzzz33GEkmPDzcpKWl3fCxyGsWx4wZYySZ2NhYm/YHHnjAuLm5maFDh5q3337btGjRwri5udm8DxhjTHx8vPHw8DBhYWFm9uzZZuTIkcbT09N06tTphueAgkeOyTE5LhnI8v+y/Ouvv5pmzZqZl156ycyfP98MHjzYeHl5mbCwMJOcnJzrOEtSlh944AEzcOBA8/bbb5tXX33V1KtXz3h4eJjPP//8hudQ2CjEC0FhvVEYY8zYsWOz/WHN736u97padoW4McYcP37cdO/e3fj6+prSpUubrl27mp9++inbfc2dO9fUqVPHuLu7mxo1aphp06aZjIyMXMf46aefmqeeesrUrVvXlC5d2ri7u5uaNWuaZ5991iQmJuZv4tfIfAPI7nV10X29Qtye+dlzzFD0ikuWT58+bXr37m3Kly9vvL29TZs2bbIdc3Yf+sYYs3//ftOpUyfj7e1typUrZ3r27GkSEhKy9EtPTzcvv/yyCQkJMe7u7qZBgwbm/fffz9MYly1bZnr06GFq1KhhvLy8jKenp6lfv74ZOXJknn5pyKu8ZPF6H/oXL140zz//vAkKCjIeHh4mPDzcbNiwIdv9bNu2zbRo0cJ4enqaChUqmJiYmAKdBwoOObZFjv+HHBcvZNl2H926dTNBQUHG3d3dhIaGmmHDhuX557ckZXny5Mmmbt26xtPT0/j5+Zl7773X7Nmzp8DmUJgsxlx1QwQAAAAAAChUPKwNAAAAAAAHohAHAAAAAMCBKMQBAAAAAHAgCnEAAAAAAByIQhwAAAAAAAdyK+oBFJaMjAz9+eefKlOmjCwWS1EPB3BKxhidO3dOwcHBcnFxvu/lyDGQN2QZKP6cPccSWQbyIq9ZLrGF+J9//qmqVasW9TCAYuH48eOqUqVKUQ8jC3IM2IcsA8Wfs+ZYIsuAPXLLcoktxMuUKSPpygHw9fXNsvz8+fMKDg6WdOVNxcfHx6HjA5xBcnKyqlatas2Ls8ktx0BJZs/nFFkGnFdes+zsOZYKNsv8Lo6SKq9ZLrGFeOblMr6+vtm+Ubi6ulr/29fXl/Djpuasl5fllmOgJMvP5xRZBpyPvVl21hxLBZtlfhdHSZdblp3zBhQAAAAAAEooCnEAAAAAAByIQhwAAAAAAAeiEAcAAAAAwIEoxAEAAAAAcCAKcQAAAAAAHIhCHAAAAAAAB6IQBwAAAADAgdyKegDOoN6LG+Ti7pml/ddXoopgNAAAAACAkowz4gAAAAAAOBCFOAAAAAAADmRXIZ6enq4XX3xRoaGh8vLyUo0aNTRhwgQZY6x9jDEaPXq0KlWqJC8vL3Xs2FE//fSTzXZOnz6tnj17ytfXV+XKlVPv3r31zz//2PT5/vvv1bp1a3l6eqpq1aqaMmXKDUwTAAAAAADnYFchPnnyZM2ePVtvvvmmDh48qMmTJ2vKlCmaOXOmtc+UKVP0xhtvaM6cOdq5c6d8fHwUGRmpS5cuWfv07NlTP/zwgzZt2qR169bpyy+/VN++fa3Lk5OT1alTJ4WEhCg+Pl6vvvqqxo4dq7lz5xbAlAEAAAAAKDp2Paxtx44d6tatm6KirjzErHr16lq2bJl27dol6crZ8OnTp2vUqFHq1q2bJOm9995TYGCgPvzwQ/Xo0UMHDx7Uhg0b9M033+j222+XJM2cOVNdunTR1KlTFRwcrCVLlig1NVXvvPOO3N3d1aBBA+3du1evv/66TcEOAAAAAEBxY9cZ8RYtWmjz5s06fPiwJOm7777T9u3b1blzZ0nS0aNHlZCQoI4dO1rXKVu2rJo3b664uDhJUlxcnMqVK2ctwiWpY8eOcnFx0c6dO6197rzzTrm7u1v7REZG6tChQzpz5ky2Y0tJSVFycrLNC0DxQo6BkoEsAyUDWQYKj12F+PDhw9WjRw/VrVtXpUqVUlhYmAYNGqSePXtKkhISEiRJgYGBNusFBgZalyUkJKhixYo2y93c3OTv72/TJ7ttXL2Pa02aNElly5a1vqpWrWrP1AA4AXIMlAxkGSgZyDJQeOwqxFesWKElS5Zo6dKl2r17t959911NnTpV7777bmGNL89GjBihpKQk6+v48eNFPSQAdiLHQMlAloGSgSwDhceue8SHDh1qPSsuSbfeeqt+++03TZo0Sb169VJQUJAkKTExUZUqVbKul5iYqMaNG0uSgoKCdPLkSZvtXr58WadPn7auHxQUpMTERJs+mf/O7HMtDw8PeXh42DMdAE6GHAMlA1kGSgayDBQeu86IX7hwQS4utqu4uroqIyNDkhQaGqqgoCBt3rzZujw5OVk7d+5URESEJCkiIkJnz55VfHy8tc+WLVuUkZGh5s2bW/t8+eWXSktLs/bZtGmT6tSpIz8/PzunCAAAAACA87CrEL/nnns0ceJErV+/Xr/++qvWrFmj119/Xf/6178kSRaLRYMGDdJLL72kjz76SPv27dPjjz+u4OBg3XfffZKkevXq6e6771afPn20a9cuffXVVxowYIB69Oih4OBgSdIjjzwid3d39e7dWz/88IOWL1+uGTNmaMiQIQU7ewAAAAAAHMyuS9NnzpypF198Uf3799fJkycVHBysp59+WqNHj7b2eeGFF3T+/Hn17dtXZ8+eVatWrbRhwwZ5enpa+yxZskQDBgxQhw4d5OLioujoaL3xxhvW5WXLltVnn32mmJgYNW3aVAEBARo9ejR/ugwAAAAAUOzZVYiXKVNG06dP1/Tp06/bx2KxaPz48Ro/fvx1+/j7+2vp0qU57uu2227Ttm3b7BkeAAAoxqoPX59t+6+vRDl4JAAAFC67CnEAcFbZ/QLPL+8AAABwRnbdIw4AAAAAAG4MhTgAAAAAAA5EIQ4AAAAAgANxjzgAAACAAsNzW4DccUYcAAAAAAAHohAHAAAAAMCBKMQBAAAAAHAgCnEAAAAAAByIQhwAAAAAAAeiEAcAAAAAwIEoxAEAAAAAcCAKcQAAAAAAHIhCHAAAAAAAB6IQBwAAAADAgSjEAQAAAABwIApxAAAAAAAciEIcAAAAAAAHohAHAAAAAMCBKMQBAAAAAHAgCnEAAAAAAByIQhwAAAAAAAeiEAcAAAAAwIEoxAEAAAAAcCAKcQAAAAAAHIhCHAAAAAAAB6IQBwAAAADAgSjEAQAAAABwIApxAAAAAAAciEIcAAAAAAAHohAHAAAAAMCBKMQBAAAAAHAgCnEAAAAAAByIQhwAAAAAAAeiEAcAAAAAwIEoxAEAAAAAcCAKcQAAAAAAHIhCHAAAAAAAB6IQBwAAAADAgSjEAQAAAABwIApxAAAAAAAciEIcAAAAAAAHsrsQ/+OPP/Too4+qfPny8vLy0q233qpvv/3WutwYo9GjR6tSpUry8vJSx44d9dNPP9ls4/Tp0+rZs6d8fX1Vrlw59e7dW//8849Nn++//16tW7eWp6enqlatqilTpuRzigAAAAAAOA+7CvEzZ86oZcuWKlWqlD799FMdOHBAr732mvz8/Kx9pkyZojfeeENz5szRzp075ePjo8jISF26dMnap2fPnvrhhx+0adMmrVu3Tl9++aX69u1rXZ6cnKxOnTopJCRE8fHxevXVVzV27FjNnTu3AKYMAAAAAEDRcbOn8+TJk1W1alUtXLjQ2hYaGmr9b2OMpk+frlGjRqlbt26SpPfee0+BgYH68MMP1aNHDx08eFAbNmzQN998o9tvv12SNHPmTHXp0kVTp05VcHCwlixZotTUVL3zzjtyd3dXgwYNtHfvXr3++us2BTsAAAAAAMWNXWfEP/roI91+++164IEHVLFiRYWFhWnevHnW5UePHlVCQoI6duxobStbtqyaN2+uuLg4SVJcXJzKlStnLcIlqWPHjnJxcdHOnTutfe688065u7tb+0RGRurQoUM6c+ZMtmNLSUlRcnKyzQtA8UKOgZKBLAMlA1kGCo9dhfgvv/yi2bNnq1atWtq4caP69eun5557Tu+++64kKSEhQZIUGBhos15gYKB1WUJCgipWrGiz3M3NTf7+/jZ9stvG1fu41qRJk1S2bFnrq2rVqvZMDYATIMdAyUCWgZKBLAOFx65CPCMjQ02aNNHLL7+ssLAw9e3bV3369NGcOXMKa3x5NmLECCUlJVlfx48fL+ohAbATOQZKBrIMlAxkGSg8dt0jXqlSJdWvX9+mrV69evrvf/8rSQoKCpIkJSYmqlKlStY+iYmJaty4sbXPyZMnbbZx+fJlnT592rp+UFCQEhMTbfpk/juzz7U8PDzk4eFhz3QAOBlyDJQMZBkoGcgyUHjsOiPesmVLHTp0yKbt8OHDCgkJkXTlwW1BQUHavHmzdXlycrJ27typiIgISVJERITOnj2r+Ph4a58tW7YoIyNDzZs3t/b58ssvlZaWZu2zadMm1alTx+YJ7QAAAAAAFDd2FeKDBw/W119/rZdfflk///yzli5dqrlz5yomJkaSZLFYNGjQIL300kv66KOPtG/fPj3++OMKDg7WfffdJ+nKGfS7775bffr00a5du/TVV19pwIAB6tGjh4KDgyVJjzzyiNzd3dW7d2/98MMPWr58uWbMmKEhQ4YU7OwBAAAAAHAwuy5NDw8P15o1azRixAiNHz9eoaGhmj59unr27Gnt88ILL+j8+fPq27evzp49q1atWmnDhg3y9PS09lmyZIkGDBigDh06yMXFRdHR0XrjjTesy8uWLavPPvtMMTExatq0qQICAjR69Gj+dBkAAAAAoNizqxCXpK5du6pr167XXW6xWDR+/HiNHz/+un38/f21dOnSHPdz2223adu2bfYODwAAAAAAp2bXpekAAAAAAODGUIgDAAAAAOBAFOIAAAAAADgQhTgAAAAAAA5EIQ4AAAAAgANRiAMAAAAA4EAU4gAAAAAAOBCFOAAAAAAADkQhDgAAAACAA1GIAwAAAADgQBTiAAAAAAA4EIU4AAAAAAAORCEOAAAAAIADUYgDAAAAAOBAFOIAAAAAADgQhTgAAAAAAA5EIQ4AAAAAgANRiAMAAAAA4EAU4gAAAAAAOBCFOAAAAAAADkQhDgAAAACAA1GIAwAAAADgQBTiAAAAAAA4EIU4AAAAAAAORCEOAAAAAIADUYgDAAAAAOBAFOIAAAAAADgQhTgAAAAAAA5EIQ4AAAAAgANRiAMAAAAA4EAU4gAAAAAAOBCFOAAAAAAADkQhDgAAAACAA1GIAwAAAADgQBTiAAAAAAA4EIU4AAAAAAAORCEOAAAAAIADUYgDAAAAAOBAFOIAAAAAADgQhTgAAAAAAA5EIQ4AAAAAgANRiAMAAAAA4EAU4gAAAAAAONANFeKvvPKKLBaLBg0aZG27dOmSYmJiVL58eZUuXVrR0dFKTEy0We/YsWOKioqSt7e3KlasqKFDh+ry5cs2fb744gs1adJEHh4eqlmzphYtWnQjQwUAAAAAwCnkuxD/5ptv9Pbbb+u2226zaR88eLA+/vhjrVy5Ulu3btWff/6p+++/37o8PT1dUVFRSk1N1Y4dO/Tuu+9q0aJFGj16tLXP0aNHFRUVpXbt2mnv3r0aNGiQ/u///k8bN27M73ABAAAAAHAK+SrE//nnH/Xs2VPz5s2Tn5+ftT0pKUkLFizQ66+/rvbt26tp06ZauHChduzYoa+//lqS9Nlnn+nAgQN6//331bhxY3Xu3FkTJkzQrFmzlJqaKkmaM2eOQkND9dprr6levXoaMGCAunfvrmnTphXAlAEAAAAAKDr5KsRjYmIUFRWljh072rTHx8crLS3Npr1u3bqqVq2a4uLiJElxcXG69dZbFRgYaO0TGRmp5ORk/fDDD9Y+1247MjLSuo3spKSkKDk52eYFoHghx0DJQJaBkoEsA4XH7kL8gw8+0O7duzVp0qQsyxISEuTu7q5y5crZtAcGBiohIcHa5+oiPHN55rKc+iQnJ+vixYvZjmvSpEkqW7as9VW1alV7pwagiJFjoGQgy0DJQJaBwmNXIX78+HENHDhQS5YskaenZ2GNKV9GjBihpKQk6+v48eNFPSQAdiLHQMlAloGSgSwDhcfNns7x8fE6efKkmjRpYm1LT0/Xl19+qTfffFMbN25Uamqqzp49a3NWPDExUUFBQZKkoKAg7dq1y2a7mU9Vv7rPtU9aT0xMlK+vr7y8vLIdm4eHhzw8POyZDgAnQ46BkoEsAyUDWQYKj11nxDt06KB9+/Zp79691tftt9+unj17Wv+7VKlS2rx5s3WdQ4cO6dixY4qIiJAkRUREaN++fTp58qS1z6ZNm+Tr66v69etb+1y9jcw+mdsAAAAAAKC4suuMeJkyZdSwYUObNh8fH5UvX97a3rt3bw0ZMkT+/v7y9fXVs88+q4iICN1xxx2SpE6dOql+/fp67LHHNGXKFCUkJGjUqFGKiYmxfuP2zDPP6M0339QLL7ygp556Slu2bNGKFSu0fv36gpgzAAAAAABFxq5CPC+mTZsmFxcXRUdHKyUlRZGRkXrrrbesy11dXbVu3Tr169dPERER8vHxUa9evTR+/Hhrn9DQUK1fv16DBw/WjBkzVKVKFc2fP1+RkZEFPVwAAAAAABzqhgvxL774wubfnp6emjVrlmbNmnXddUJCQvTJJ5/kuN22bdtqz549Nzo8AAAAAACcSr7+jjgAAAAAAMgfCnEAAAAAAByIQhwAAAAAAAeiEAcAAAAAwIEoxAEAAAAAcCAKcQAAAAAAHIhCHAAAAAAAB6IQBwAAAADAgSjEAQAAAABwIApxAAAAAAAciEIcAAAAAAAHohAHAAAAAMCBKMQBAAAAAHAgCnEAAAAAAByIQhwAAAAAAAeiEAcAAAAAwIEoxAEAAAAAcCAKcQAAAAAAHIhCHAAAAAAAB6IQBwAAAADAgSjEAQAAAABwIApxAAAAAAAciEIcAAAAAAAHohAHAAAAAMCBKMQBAAAAAHAgCnEAAAAAAByIQhwAAAAAAAeiEAcAAAAAwIEoxAEAAAAAcCAKcQAAAAAAHIhCHAAAAAAAB6IQBwAAAADAgSjEAQAAAABwIApxAAAAAAAciEIcAAAAAAAHohAHAAAAAMCBKMQBAAAAAHAgCnEAAAAAAByIQhwAAAAAAAeiEAcAAAAAwIEoxAEAAAAAcCAKcQAAAAAAHMiuQnzSpEkKDw9XmTJlVLFiRd133306dOiQTZ9Lly4pJiZG5cuXV+nSpRUdHa3ExESbPseOHVNUVJS8vb1VsWJFDR06VJcvX7bp88UXX6hJkyby8PBQzZo1tWjRovzNEAAAAAAAJ2JXIb5161bFxMTo66+/1qZNm5SWlqZOnTrp/Pnz1j6DBw/Wxx9/rJUrV2rr1q36888/df/991uXp6enKyoqSqmpqdqxY4feffddLVq0SKNHj7b2OXr0qKKiotSuXTvt3btXgwYN0v/93/9p48aNBTBlAAAAAACKjps9nTds2GDz70WLFqlixYqKj4/XnXfeqaSkJC1YsEBLly5V+/btJUkLFy5UvXr19PXXX+uOO+7QZ599pgMHDujzzz9XYGCgGjdurAkTJmjYsGEaO3as3N3dNWfOHIWGhuq1116TJNWrV0/bt2/XtGnTFBkZWUBTBwAAAADA8W7oHvGkpCRJkr+/vyQpPj5eaWlp6tixo7VP3bp1Va1aNcXFxUmS4uLidOuttyowMNDaJzIyUsnJyfrhhx+sfa7eRmafzG1kJyUlRcnJyTYvAMULOQZKBrIMlAxkGSg8+S7EMzIyNGjQILVs2VINGzaUJCUkJMjd3V3lypWz6RsYGKiEhARrn6uL8Mzlmcty6pOcnKyLFy9mO55JkyapbNmy1lfVqlXzOzUARYQcAyUDWQZKBrIMFJ58F+IxMTHav3+/Pvjgg4IcT76NGDFCSUlJ1tfx48eLekgA7ESOgZKBLAMlA1kGCo9d94hnGjBggNatW6cvv/xSVapUsbYHBQUpNTVVZ8+etTkrnpiYqKCgIGufXbt22Wwv86nqV/e59knriYmJ8vX1lZeXV7Zj8vDwkIeHR36mA8BJkGOgZCDLQMlAloHCY9cZcWOMBgwYoDVr1mjLli0KDQ21Wd60aVOVKlVKmzdvtrYdOnRIx44dU0REhCQpIiJC+/bt08mTJ619Nm3aJF9fX9WvX9/a5+ptZPbJ3AYAAAAAAMWVXWfEY2JitHTpUq1du1ZlypSx3tNdtmxZeXl5qWzZsurdu7eGDBkif39/+fr66tlnn1VERITuuOMOSVKnTp1Uv359PfbYY5oyZYoSEhI0atQoxcTEWL9xe+aZZ/Tmm2/qhRde0FNPPaUtW7ZoxYoVWr9+fQFPHwAAAAAAx7LrjPjs2bOVlJSktm3bqlKlStbX8uXLrX2mTZumrl27Kjo6WnfeeaeCgoK0evVq63JXV1etW7dOrq6uioiI0KOPPqrHH39c48ePt/YJDQ3V+vXrtWnTJjVq1Eivvfaa5s+fz58uAwAAAAAUe3adETfG5NrH09NTs2bN0qxZs67bJyQkRJ988kmO22nbtq327Nljz/AAAAAAAHB6N/R3xAEAAAAAgH0oxAEAAAAAcCAKcQAAAAAAHIhCHAAAAAAAB6IQBwAAAADAgSjEAQAAAABwIApxAAAAAAAciEIcAAAAAAAHcivqAQAAAOSk+vD12bb/+kqUg0cCIL+uzXFG6qUiGgngHDgjDgAAAACAA3FGHECJxVk0AAAAOCPOiAMAAAAA4EAU4gAAAAAAOBCXpufgepe1SlzaCgAAAADIH86IAwAAAADgQBTiAAAAAAA4EIU4AAAAAAAORCEOAAAAAIADUYgDAAAAAOBAFOIAAAAAADgQhTgAAAAAAA5EIQ4AAAAAgANRiAMAAAAA4EAU4gAAAAAAOBCFOAAAAAAADkQhDgAAAACAA1GIAwAAAADgQBTiAAAAAAA4EIU4AAAAAAAORCEOAAAAAIADUYgDAAAAAOBAbkU9AAAAAAA3r3ovbpCLu6f137++ElWEowEcg0IcwE2n+vD12bbzwQ8AAABH4NJ0AAAAAAAciDPiAACgWOLqFgBAccUZcQAAAAAAHIhCHAAAAAAAB+LS9Hy63uVwEpfEAQAAAACujzPiAAAAAAA4EIU4AAAAAAAOxKXpAAAAAJxGdreAcusnShoKcQD4//jgB0oG/qwZAMDZOfWl6bNmzVL16tXl6emp5s2ba9euXUU9JAAAAAAAbojTFuLLly/XkCFDNGbMGO3evVuNGjVSZGSkTp48WdRDAwAAAAAg35z20vTXX39dffr00ZNPPilJmjNnjtavX6933nlHw4cPL+LR5SynP20mcWkcUJxwiStQcpBnoPgivyhpnLIQT01NVXx8vEaMGGFtc3FxUceOHRUXF5ftOikpKUpJSbH+OykpSZKUnJycbf/z589b/zsj5YJkMgpi6HlSbfDK6y7bPy7SYeMAMvNhjCnikVxhb46vlpFyodDGlZ3sckx+UZCu/pxKTk5Wenr6dfuWlCw7OseZ8vIeA+RXXrPsbDmWCjfLGamXbPvn83dxPo/hbPKcZeOE/vjjDyPJ7Nixw6Z96NChplmzZtmuM2bMGCOJFy9e+XgdP37cEdHOFTnmxevGXmSZF6/i/3KWHBtDlnnxupFXblm2GONEX7v9f3/++acqV66sHTt2KCIiwtr+wgsvaOvWrdq5c2eWda79xi4jI0OnT59W+fLlZbFYst1PcnKyqlatquPHj8vX17fgJ1JCcdzyxxmPmzFG586dU3BwsFxciv6REfnJseScx7Y44LjljzMet5KQZWc8rsUBxy3/nO3YOVuOJbLsSBy3/HHG45bXLDvlpekBAQFydXVVYmKiTXtiYqKCgoKyXcfDw0MeHh42beXKlcvT/nx9fZ3mf1xxwnHLH2c7bmXLli3qIVjdSI4l5zu2xQXHLX+c7biVlCw723EtLjhu+edMx86ZciyR5aLAccsfZztuecmyc3zddg13d3c1bdpUmzdvtrZlZGRo8+bNNmfIAQAAAAAobpzyjLgkDRkyRL169dLtt9+uZs2aafr06Tp//rz1KeoAAAAAABRHTluIP/TQQzp16pRGjx6thIQENW7cWBs2bFBgYGCB7cPDw0NjxozJcskNcsZxyx+OW+Hh2OYPxy1/OG6Fg+OaPxy3/OPYFQ6Oa/5w3PKnOB83p3xYGwAAAAAAJZVT3iMOAAAAAEBJRSEOAAAAAIADUYgDAAAAAOBAFOIAAAAAADgQhTgAAAAAAA50Uxfis2bNUvXq1eXp6anmzZtr165dRT0kpzFp0iSFh4erTJkyqlixou677z4dOnTIps+lS5cUExOj8uXLq3Tp0oqOjlZiYmIRjdg5vfLKK7JYLBo0aJC1jeNWsMhxzshywSDLhY8s54ws3zhyXPjIcc7IccEoKVm+aQvx5cuXa8iQIRozZox2796tRo0aKTIyUidPnizqoTmFrVu3KiYmRl9//bU2bdqktLQ0derUSefPn7f2GTx4sD7++GOtXLlSW7du1Z9//qn777+/CEftXL755hu9/fbbuu2222zaOW4FhxznjizfOLJc+Mhy7sjyjSHHhY8c544c37gSlWVzk2rWrJmJiYmx/js9Pd0EBwebSZMmFeGonNfJkyeNJLN161ZjjDFnz541pUqVMitXrrT2OXjwoJFk4uLiimqYTuPcuXOmVq1aZtOmTaZNmzZm4MCBxhiOW0Ejx/Yjy/Yhy45Blu1HlvOOHDsGObYfObZPScvyTXlGPDU1VfHx8erYsaO1zcXFRR07dlRcXFwRjsx5JSUlSZL8/f0lSfHx8UpLS7M5hnXr1lW1atU4hpJiYmIUFRVlc3wkjltBIsf5Q5btQ5YLH1nOH7Kcd+S48JHj/CHH9ilpWXYr6gEUhb/++kvp6ekKDAy0aQ8MDNSPP/5YRKNyXhkZGRo0aJBatmyphg0bSpISEhLk7u6ucuXK2fQNDAxUQkJCEYzSeXzwwQfavXu3vvnmmyzLOG4Fhxzbjyzbhyw7Blm2H1nOO3LsGOTYfuTYPiUxyzdlIQ77xMTEaP/+/dq+fXtRD8XpHT9+XAMHDtSmTZvk6elZ1MMBbJDlvCPLcGZkOW/IMZwZOc67kprlm/LS9ICAALm6umZ5kl5iYqKCgoKKaFTOacCAAVq3bp1iY2NVpUoVa3tQUJBSU1N19uxZm/43+zGMj4/XyZMn1aRJE7m5ucnNzU1bt27VG2+8ITc3NwUGBnLcCgg5tg9Ztg9ZdhyybB+ynHfk2HHIsX3IsX1KapZvykLc3d1dTZs21ebNm61tGRkZ2rx5syIiIopwZM7DGKMBAwZozZo12rJli0JDQ22WN23aVKVKlbI5hocOHdKxY8du6mPYoUMH7du3T3v37rW+br/9dvXs2dP63xy3gkGO84Ys5w9ZdhyynDdk2X7k2HHIcd6Q4/wpsVku2mfFFZ0PPvjAeHh4mEWLFpkDBw6Yvn37mnLlypmEhISiHppT6Nevnylbtqz54osvzIkTJ6yvCxcuWPs888wzplq1ambLli3m22+/NRERESYiIqIIR+2crn6qozEct4JEjnNHlgsOWS48ZDl3ZLlgkOPCQ45zR44LTknI8k1biBtjzMyZM021atWMu7u7adasmfn666+LekhOQ1K2r4ULF1r7XLx40fTv39/4+fkZb29v869//cucOHGi6AbtpK59o+C4FSxynDOyXHDIcuEiyzkjywWDHBcucpwzclxwSkKWLcYY47jz7wAAAAAA3NxuynvEAQAAAAAoKhTiAAAAAAA4EIU4AAAAAAAORCEOAAAAAIADUYgDAAAAAOBAFOIAAAAAADgQhTgAAAAAAA5EIQ4AAAAAgANRiAMAAAAA4EAU4gAAAAAAOBCFOAAAAAAADvT/AIDnmL/QSRWIAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1200x300 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for test_name in (\"anova\",\n",
    "                  \"kruskal\",\n",
    "                  \"pearsonr\",\n",
    "                  \"spearmanr\",\n",
    "                  \"ttest\"):\n",
    "\n",
    "    test = getattr(perm, test_name)\n",
    "    fig, ax = plt.subplots(1, 4, figsize=(12, 3),\n",
    "                           sharex=True, sharey=True)\n",
    "\n",
    "    correspondence = {\n",
    "        \"ks\": \"ks_2samp\",\n",
    "        \"pearsonr\": \"pearsonr\",\n",
    "        \"spearmanr\": \"spearmanr\",\n",
    "        \"ttest\": \"ttest_ind\",\n",
    "        \"anova\": \"f_oneway\",\n",
    "    }\n",
    "    sc_test = getattr(stats, correspondence.get(test_name, test_name))\n",
    "    \n",
    "    for axi, (a, b) in zip(ax, \"xx xy yx xz\".split()):\n",
    "        r = test(d[a], d[b], random_state=1)\n",
    "        sc = sc_test(d[a], d[b])\n",
    "        plt.sca(axi)\n",
    "        plt.hist(r.samples)\n",
    "        plt.axvline(r.statistic, color=\"k\")\n",
    "        plt.title(f\"{test_name}({a}, {b})\\n\"\n",
    "                  f\"t R={r.statistic:.2g} S={sc[0]:.2g}\\n\"\n",
    "                  f\"P R={r.pvalue:.2f} S={sc[1]:.2f}\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}