{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "An experiment yields two samples $x_1$, and $x_2$ that are drawn from a Cauchy distribution with unkown mean, $\\mu$. The null hypotheses is $\\mu=0.5$, and the alternative is $\\mu=0.5$. If we apply a likelihood ratio test, our test statistic is\n",
    "\n",
    "\\begin{equation}\n",
    "\\lambda=\\frac{\\mathcal{L}(\\mu=0.5)}{\\mathcal{L}(\\mu=1.5)+\\mathcal{L}(\\mu=0.5)}\n",
    "\\end{equation}\n",
    "where,\n",
    "\\begin{equation}\n",
    "\\mathcal{L}(\\mu)=\\frac{1}{\\pi^2}\\frac{1}{(1 + (x_1-\\mu)^2)(1 + (x_2-\\mu)^2)}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import cauchy\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.rcParams['figure.dpi']=150"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def lambda_(x1, x2, mu_0, mu_a, type_=1):\n",
    "    L = cauchy.pdf\n",
    "    L_0 = L(x1, mu_0)*L(x2, mu_0)\n",
    "    L_a = L(x1, mu_a)*L(x2, mu_a)\n",
    "    return L_0 / L_a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "dx = 0.05\n",
    "bound = 3\n",
    "x1s, x2s = np.mgrid[slice(-bound,bound+dx, dx),\n",
    "                    slice(-bound,bound+dx, dx)]\n",
    "\n",
    "lambdas = lambda_(x1s, x2s, 0.5, 1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum level of lambda: 6.852 @ x1=-0.10 x2=-0.10\n"
     ]
    },
    {
     "data": {
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qplAvjx79e7x09S9KqUeF7k09HOv5AIMd76jYhtcT4FDXu7g08QNeuf5N9red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\nF5daV8ZkFfbPMPycHPx9ouE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2MzlMNapczKXUI+FYTbuBVWp7JeXrGnRlup32bxuSxoEo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\nT85vfRZwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3b5f7624a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "levels = list(range(7))\n",
    "plt.pcolormesh(x1s, x2s, lambdas)\n",
    "plt.colorbar().set_label(r'$\\lambda$')\n",
    "CS = plt.contour(x1s, x2s, lambdas, levels=levels, colors='k')\n",
    "plt.clabel(CS, inline=1)\n",
    "plt.xlabel(r'$x_1$')\n",
    "plt.ylabel(r'$x_2$')\n",
    "max_idx = np.unravel_index(np.argmax(lambdas), lambdas.shape)\n",
    "print(f'Maximum level of lambda: {lambdas[max_idx]:0.3f} @ x1={x1s[max_idx]:0.2f} x2={x2s[max_idx]:0.2f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Now, what are the $\\alpha$  and $\\beta$ values for various values of $\\lambda$?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f3b5f1bfeb8>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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KgjdLmgk577i2NaBZREaRptYOPthTwqtbCli1v5wOZ+/F0fwchmvmpPDtCzNJ\niw21KaWIiG9TUfBmyT3GKRSrKIiIvZxOi3UHK3hlayHv7Sqmvp/Zi4yBq2ancPeSTMbHh9mQUkRE\njlFR8GY9Zz6qyYfGSgiNtS+PiPgcy7LYfbSWN7Yf5c3tRymq6X/tg+SoYK6bl8Z1c1P1BEFEZJRQ\nUfBmkSkQEgtNla79ou0w8QJ7M4mITyisbuLFTfm8sf0oB8sa+r0mPMifZdlJfHFOCgvHx+FwaHpT\nEZHRREXBmxnjeqpw8GPXfvEOFQURGVaF1U387qMDvLgpn7YOq895P4fhvMlj+OIZKVw0NZGQQD8b\nUoqIyGCoKHi75FndRUEDmkVkmBTVuArCio39F4S56TFcMWssy2cmEx8eZENCEREZKhUFb5fUY5xC\n0Xb7coiIV3I6LZ5Ze5j/fW8vzW3OXudSokO46cxxXDFrrMYdiIh4IBUFb9dz5qOKA9BSD0Hh9uUR\nEa+xPb+aB9/dw7qDlb2OJ0cFc9eFk7hubhqB/g6b0omIyOlSUfB2sRMhIAzaGgALSnbDuDPtTiUi\nHmzrkSoeWbmfj3PKeh2PDQvk3osyuX5+GkH+GnsgIuLpVBS8ncMBSTMgf51rv3iHioKInJJ9JXX8\n/O09rNpX1ufcJdMT+e8vztD4AxERL6Ki4AuSZ3YXhaJt9mYREY/T3NbB7z/O5Q8fH+gzUHlmahTf\nWZLJhVMSMEbTm4qIeBMVBV/Qa0CzZj4SkcGpa27jr+vyeHL1YcrrW3qdm5UWzT1LMjk/a4wKgoiI\nl1JR8AU9V2gu3QPtreAfaF8eERnV2jucPL8xn4c/2EdFQ2uvc2OjgvnpldlcNFVPEEREvJ2Kgi8Y\nMxUcAeBsc32V7e1dHkTE57W0d/DermLe21XMmtwKapraep0P8nfw5YXp3HvxZMKD9KNDRMQX6G97\nX+AfCAlTXQOZwbWegoqCiOBaSflv6/N4fkN+n6cHACEBftx+dga3nTVeA5VFRHyMioKvSJ7ZXRSK\nNU5BxNeV1jbzwJu7eW9XMc6+CykT4Ge4anYK370ki8TI4JEPKCIitlNR8BVJs4BnXdtaoVnEp32c\nU8q/vbC9zxOEIH8HV8way7IZSZw5Po4wvWIkIuLT9FPAV4w9o3u7aDt0tIFfgH15RGTEfX60lt/8\ncx/vf17S6/i42FC+sjCd6+alEh2qiQ5ERMRFRcFXJM3oHtDc3gwlu3qXBxHxSq3tTt7acZTnN+az\n4VBlr3NB/g7u/8I0bpw/DodDMxiJiEhvKgq+IiDYNU6hcLNrv2CTioKIl1u9v5z739jFwbKGPuey\nUyL51XWzmJIUaUMyERHxBCrAFFO1AAAgAElEQVQKviRlXndRKNwM3GFrHBFxv9LaZl7YlM/7n5ew\no6Cmz/lpyZF856JMlk5L1DoIIiJyQioKviR1Hmx4wrVdsMneLCLidp/sK+Puv2/tswaCw8A1c1K5\neWE6s1KjVBBERGRQVBR8Scrc7u2K/dBUBSEx9uUREbc4UtHIc+vz+OOnB/tMdTpnXDQ/uzKb7JQo\ne8KJiIjHUlHwJbETICQWmjoHNBZugUlL7M0kIqfscHkD97+xm1X7ynodDw5wcOd5k7g0O4nJieF6\ngiAiIqdERcGXGON6qnDgA9d+4WYVBREP1Nru5Jm1h/nV+zk0tzl7nUuLDeGJL89j2lgNUhYRkdOj\nouBrUud3F4WCjfZmEZEhae9w8vq2o/xm5T7yK5t6nZuUEN45DmEckcFaI0VERE6fioKvSe0xTqFg\nIzid4HDYl0dETqq5rYOXtxTwxCcHOVLZ2OtcXFggP7sym8tmJOkVIxERcSsVBV+TMg8wgOUazFy+\nDxKm2J1KRPrR2NrOc+uO8MdPD1Ja19LrnJ/DcP28NL53SRaxYVpNWURE3E9FwdeERENiNpTsdO0f\nWauiIDLKOJ0Wr24t5Jf/yKG4trnXOT+H4cpZY7l7SSYZ8WE2JRQREV+gouCL0hf1LgrzbrM3j4h0\nyato4Hsv7mDD4cpexwP9HVw/L5WvnzuRtNhQm9KJiIgvUVHwReMWwob/c23nrbU3i4gAUNPYxnMb\n8njswwM0tnZ0HQ/0c3DL4nTuOHcCCRHBNiYUERFfo6Lgi8Yt7t6uOQI1BRCVal8eER9W09jG7z4+\nwLPr8noVBIBLpyfxw+VT9QRBRERsoaLgiyKTISYDqg679o+sgxnX2plIxOfUNrfxwsZ8fvfRAaoa\n23qdiwkN4L+uyubymWNtSiciIqKi4LvGLe4uCnlrVBRERkh9SzsPf7CP5zccoeG4JwjRoQF8+cx0\nbj0rg/jwIJsSioiIuKgo+KpxC2H731zbRzROQWQkbM6r5N4V2/ushRAW6Mc3L5jEbWdlEBqov5ZF\nRGR00E8kX5XeY5xC6efQUAFhcfblEfFia3LL+dOnh/hwb2mv41EhAdwwP42vnjNeA5VFRGTUUVHw\nVXGTIDwR6ktc+3mrYdqV9mYS8TKVDa38+PVdvL2jqNdxh4G7LpjEnedPIiTQz6Z0IiIiJ6ai4KuM\ngfHnws4XXfuHPlVREHGTnOI63t5xlL9tyKe8vveKylOSIvjvL85gbnqMTelEREQGR0XBl2Wc06Mo\nrLI3i4iHsyyL1QfK+e2HB9hwqLLP+XnpMdy9JJNzMuMxxtiQUEREZGhUFHzZ+HO7t8tzoK4EIhLt\nyyPioXYUVPPzt/b0WU0ZIMjfwfcvncJtizNwOFQQRETEc6go+LKYDIhKg5p81/7hTzVNqsggWZbF\nxsNVPL3mEO/sLO5zfmZqFMtnJHPF7LEkR4XYkFBEROT0qCj4smPjFLY959o/9ImKgshJHCyr57Vt\nR3lnZxEHSuv7nD8nM55vX5jJgvGxNqQTERFxHxUFX9erKHxqbxaRUayqoZWHPtjHc+vzcFp9z09J\niuCHy6dyTuaYkQ8nIiIyDFQUfF3GOd3bVYegOh+i0+zLIzLKNLS08/SawzzxSS61ze19zi+eGMet\nizNYMjURP41BEBERL6Ki4OuiUiB2IlTmuvYPfwqzb7I3k8go0NTawV/XHebxTw5S2dDa61xGXChf\nWjCOy7KTGRcXalNCERGR4aWiIK7Xj44VhUOrVBTEpzW3dfC39Uf4/ce5fdZACA/y5+4lk7h18XgC\n/R02JRQRERkZKgoC48+BzU+5tg+tAstyDXQW8SHFNc28vKWAv67No7i2ude5kAA/bj0rg6+dM4GY\nsECbEoqIiIwsFQXpPU6hthAqD0LcRPvyiIyggqpGHnp/H69tK+wzSDnI38G/LErn6+dNJD48yJ6A\nIiIiNlFREAhPgDFToWyPa//QKhUF8XrNbR08snI/f/70EK0dzl7nAv0c3HTmOL55/kQSIoNtSigi\nImIvFQVxGX9ud1E4/CnMu83ePCLDaE1uOT94ZSd5FY29jqdEh3D9vDRumJ9GUpQKgoiI+DYVBXEZ\nfy5seMK1rXEK4qVqGtv4n3f2sGJTfq/jSZHB3HfxZK6Zm6opTkVERDqpKIhLxlmAASxoKIPSPZA4\nze5UIm7R2NrOX9fm8cSq3lOdOgzccc4E7rloMiGBfjYmFBERGX1UFMQlJAaSZ0LRdtf+wY9UFMQr\nrDlQzj0rtlFa13uq02nJkfzimpnMSI2yKZmIiMjoponApdvEJd3bB/5pXw4RN3A6Lf7wcS5f/vP6\nXiUhJMCPf790Cq/fdZZKgoiIyAnoiYJ0m3QRrH7ItX34M2hthECtOiueJ6+igX9/eQfrDlZ2HQv0\nd3Dr4gy+du4ETXUqIiIyCCoK0i1tAQRGQGsddLRA3hrIvMjuVCKD1tDSzh8/Pcjjn+TS3NY95Wlq\nTAh/uHmuniCIiIgMgYqCdPMLgAnnwd63XPsH/qmiIB7jg89L+MErOymv7z0W4dLpSfzvNTOIDtWK\nyiIiIkOhoiC9TVrSuyiIjHKWZfGnTw/xP+/uweqxsnJcWCA/vXI6y2ckYzTVr4iIyJCpKEhvPQc0\nV+yHqjyISbcvj8gJ1DW38ZM3dvPKlsKuY8EBDm4/azzfOH8ikcEBNqYTERHxbCoK0ltMOsRlukoC\nwP73YcEd9mYS6cea3HK+9+IOCqubuo6lxoTw1K3zyUyMsDGZiIiId9D0qNLX5Eu6tz9/3b4cIv1o\nbuvgp2/u5qY/ru9VEuamx/DqN89SSRAREXETPVGQvqZdBWsfc23nfQb1ZRA+xt5MIsD2/Grue2Eb\nuWUNXcf8HYbvLMnkzvMn4u+n332IiIi4i9t+qhpjgo0xPzXG7DPGNBtjjhpjnjTGpJ7i/SYZY/5o\njDnceb8yY8waY8z33JVZBpAyFyJTXNuWs3tws4hNWto7eOj9HK7+w5peJWFyYjivfessvr0kUyVB\nRETEzdzyk9UYEwysBO4HwoHXgXzgNmCLMWbiEO/3RWAn8K9ABfAqsBUYD3zdHZnlBBwOmHpF975e\nPxIbrTlQzrLffMqjHx6gw+ma1sgY+Nq5E3jjrrPJTtHaCCIiIsPBXa8e/SewGFgLLLUsqx7AGHMf\n8GvgSeC8wdzIGDMLeB6oAy62LGt1j3MOYI6bMsuJTLsS1v/BtX1oFTRWQmisvZnEp+wrqeMX7+5l\n5d7SXsfTYkP41bWzOHNCnE3JREREfMNpFwVjTADw7c7dbx0rCQCWZT1kjLkFONcYM9eyrM2DuOVv\ngUDg1p4lofN+TmDT6WaWQUg7E8ITob4ErA7Y+zbM+YrdqcQHtLY7eXTlfv7wSW7XEwQAh4FbFmfw\nb0uzCA/S8CoREZHh5o5Xj84GooFcy7K29nP+pc7PL5zsRsaYqcA5wD7LsvRivJ0cDpja43+ynHfs\nyyI+Y1t+NVf+7jMe++hAr5IwZ1w0r3/rbH7yhekqCSIiIiPEHT9xZ3V+bhng/JbjrjuRY6t9fdA5\n7uEGYB5gATuAFyzLqj3VoDJEWZfBxj+5tnM/gtZGCAy1N5N4pfL6Fn75Xg4rNuX3Op4WG8IPL5vK\nJdOTtLqyiIjICHNHURjX+VkwwPmC4647kemdn03ANiDruPMPGmOusSxr1WDDGWN2D3BqSAOsfVLG\nORAYAa110N4EBz+GKZfZnUq8SHuHk2fX5fHrD/ZR19ze69xXFqbzH8umEKYnCCIiIrZwx6tH4Z2f\njQOcbzjuuhOJ6fy8B4gFrsb1WlMW8DcgHnjNGJN8alFlSPwDIfOi7n29fiRulFfRwLWPr+WBNz/v\nVRKyEiN4/msL+a+rslUSREREbOSOn8LH3gewTnJ+MPw6P/2BL1uW9X7nfg1wszEmE5gPfAv40WBu\naFnW9P6Odz5pmDaEbL4p6zLY/apre9974HS6xi+InCLLsnhxUwE/fXM3Da0dXccjgv257+LJfGVh\nutZEEBERGQXcURTqOj/DBjh/7KX2+gHO93evwh4loaencBWF8wedTk5P5sVg/FwzHzWUQeEmSFtg\ndyrxUAdK6/jPV3ex4VBlr+NXn5HCfy6fSnx4kE3JRERE5HjuKApHOj8HWoE59bjrTuRw52feSc4n\nDOJe4g4hMZC+GA5/6trPeUdFQYasua2D3310gMc/yaWto/vhY0SwPw9ePYPLZ461MZ2IiIj0xx1F\nYXvn50ALoR07vmMQ9zo2vepAK3sdW2FpME8nxF2yLutRFN6Fix6wM414mB0F1Xzn+W0cKm/odXzp\ntER+euV0kqNCbEomIiLDwbIsLGugN9JlKIwxts76546i8BmuMQQTjTFn9LOWwrWdn4NZF2ElrsHP\nE40xaZZl5R93/vzOz4GmYpXhkLUM/vED13bZXqjIhThNGiUnZlkW/7fqIL/8Rw7tPdZEGBsVzE+v\nzObiaYk2phMREXexLIu6ujpqa2tpbGyko6Pj5N8kgxYYGEhERARxcXH4+fmd/Bvc6LRHDFqW1Qo8\n1rn7mDGma6yCMeY+YCaw2rKsjT2O32WM2WuMefC4ezXiWpk5APjDcfe6FLgF16Dp/zvd3DIEseMh\noce475x37csiHqG5rYPvPL+NB9/d21USjIGvnj2eD+47TyVBRMRLOJ1OioqKKCwspK6uTiVhGLS2\ntlJRUcGRI0dG/L9fd809+HPgImAxsN8Y8ymQDpwJVAC3HXd9PK4pT/ub5vSnuFZnXt55r/W4xiQs\nxFVsfmhZ1gY35ZbByloGpZ+7tnPehcV32ZtHRq1D5Q1898XtbM6r6jqWHBXMb26YzZkT4k7wnSIi\n4mlqamqoqakBIDY2loiICIKCgrRIpps4nU4aGhooKSmhubmZiooKEhJGbqiuW4qCZVnNxpgLgB8A\nNwFXAVXAX4Af9/MK0cnudSHwXeDLwDKgGfgIeNiyrLfdkVmGKGs5fPpr1/aRNdBYCaEDDSURX1TT\n1MZjH+7n6TWHew1YXjwxjt/fPIfo0EAb04mIyHCoqnL9UighIYG4OP0yyN0cDgdRUVEAHD16lLq6\nOs8rCgCWZTUB93d+nezaB4AHTnC+Ffifzi8ZDcaeAeGJUF8ClhP2vw+zvmR3KhkFOpwWz288wq/f\n30dlQ2uvc9fPS+XnV80g0F/rIoiIeBvLsmhpaQEgMjLS5jTeLSzM9TZ+a2srlmWN2BMbLXsqg+Nw\nwORLYctfXPs576goCPmVjdz3wjY2Hq7qdTwlOoT/WDaFy2cm6/GziIiX6jmz0UgPsvU1jh6L3aoo\nyOg0ZXl3UTiwEtpbwF8LZPmq93YV8d0Xd1Df0t51LCTAj2+eP5E7zp1AcIB+aIiIiHgyFQUZvPHn\nQkAotDVCaz0c+hQyL7I7ldjg9W2F3LtiGz1mPWX5zGR+vHwaSVHB9gUTERERt9GLwzJ4ASEw8cLu\n/Zx37MsitnlhY36vkhAR7M8jX5rN726ao5IgIiLiRVQUZGiyLuveznkXtPKiz6hrbuPeFdv4/ss7\nukpCbFggL3x9EVfOTrE3nIiIiLidXj2SoZl8CWAAC+qOQtE214xI4tUOlNZzxzObOFTe0HUsLiyQ\nv92xkKykCBuTiYiIyHDREwUZmrB4SDuze1+rNHu9j3NK+eLvP+tVEuamx/Dat85SSRAREfFiKgoy\ndFN6vH60V+vfeSvLsvjTpwe5/emN1DV3z2x094WTWPG1haTFhtqYTkRERIabioIMXdby7u2SXVC2\nz74sMizqW9r53ks7+Pnbe7rGI4QG+vH4l+dy39Is/P30V4eIiIi30097Gbr4SZA0o3t/9yv2ZRG3\n+3BvCRc/9AkvbS7oOpYSHcJL31jMpdlJNiYTERHxPO+88w5Lly4lKiqKuLg4vvCFL3Do0CEAHnzw\nQYwxbN261eaU/VNRkFOTfU339q6XNfuRF2hsbecHr+zk9qc3UVTT3HV8fkYMr991FtPGRtqYTkRE\nxLNYlsWdd97J8uXL2bVrF5deeinJycm89dZb3HjjjTQ1NfGb3/yGK664gjPOGJ0Tw2jWIzk106+G\nfz7g2i7fByW7ISnb1khy6nLL6vnaM5vILesesBzgZ/jm+ZP41gWTCPTX7xRERGToLMuitsc4N08Q\nGeyPMea07/Ozn/2Mxx9/nAsuuIA333yTsLAw2tvbmT9/PuvXr+cXv/gFpaWl3H///W5IPTxUFOTU\nxKRDyjwo3OTa3/WyioKH2nqkituf3khVY1vXsRkpUfz6+llMTtSsRiIicupqm9uZ9dP37Y4xJNt/\nspSokIDTukdxcTEPPvggwcHBPPnkk4SFhQHg7+/PJZdcwrZt2/jFL37B5Zdfzty5c90Re1jo14Ry\n6nq+frT7Fb1+5IE+2lvKTX9c36skfOO8ibx852KVBBERkVP07LPP0tLSwm233UZGRkavc9HR0QA0\nNzeP6qcJoKIgp2P6VbgWXwOqDsPRLXamkSF6cVM+X31mE01tHYDrVaPf3ngG/7Fsil41EhEROQ0f\nfPABAFddddWA1yxbtoz58+ePVKRToleP5NRFjoX0xZD3mWt/1yuQMnofn4mL02nx6If7+c0/93cd\nCw/y54mvzOWsSfE2JhMREW8TGezP9p8stTvGkEQGn/4/j7dscf3ydPHixX3O1dbWAvD973//tP+c\n4aaiIKcn++ruorD7Vbj4v8Ch30aPVtWNrdy7Yhsf5ZR1HYsPD+Lp2+aTnRJlYzIREfFGxpjTft/f\n07S0tFBeXk5ERATh4eG9zlVWVvL4448DkJqaake8IdG/6OT0TL0STOf/jWoLIX+9vXlkQEerm7j6\nD2t6lYTx8WG8cudilQQRERE3a2xspLW1tdexH/3oR1RVVQHg5+dnR6whUVGQ0xM+Bsaf172vxddG\npYNl9Vz7hzUc7DH96cXTEnntW2cxLi7UxmQiIiLeJSgoiAkTJtDR0cGf//znruMvvPACjz/+OIGB\ngQBdi66NZioKcvqyr+7e3v0qdHjWfMneLr+ykRv+bx1Heyyi9p0lmTzx5bk+9zhYRERkJNx1111d\nn8uWLePiiy/mhhtuICsri1/+8pcA3HLLLXz3u9+1M+ZJaYyCnL6pX4C37gNnGzSUwf5/wJTldqcS\nXGMSbn1qA2V1LV3HfnrFdG5ZnGFfKBERES93zz33YFkWTzzxBB9++CEhISFcc801PPHEE4SHh7Np\n0yZefPFFtm/fbnfUE9ITBTl9ITEw9fLu/U1P2pdFutQ1t/Gvf+m92vKDV89QSRARERlmxhjuu+8+\ncnJyaGlpobq6mpdeeom4uDiCgoJ45plnaGpq6ppGdbRSURD3mHd79/aBlVA5+t+782aVDa3c9Mf1\nbM6r6jp2z0WZ3LhgnI2pRERExJOoKIh7ZJwDcZmdOxZsfsrWOL6suKaZ659Yy87Cmq5jNy4Yx3eW\nZJ7gu0RERER6U1EQ9zCm91OFrc9Ce8vA18uwOFzewLWPr+FAaX3XsVsXZ/DfV2VjjLExmYiIiHga\nFQVxn9k3gn+wa7uxAna+ZG8eH7OnqJZrH19LQVVT17HvLMnkJ1+YhsOhkiAiIiJDo6Ig7hMSAzOv\n795f+zuwLPvy+JDNeVXc8MRayuu7n+Lcf/k07r14sp4kiIiIyClRURD3Wvit7u3S3XDwI/uy+IjV\n+8v58p/WU9vsWr/CYeCX187k9rPH25xMREREPJmKgrhXwhSYdHH3/prH7MviA97bVcztT2+kqa0D\ngEA/B7+/eQ7XzUuzOZmIiIh4OhUFcb/Fd3Vv566E0j32ZfFiL27K55vPbaa1wwlASIAfT946n0uz\nk21OJiIiIt5ARUHcb/x5kDije3/rs/Zl8VJPrj7E917agbNzCEhksD/PfvVMzs6MtzeYiIiIeA0V\nBXE/Y2DuLd37O1+Ejnb78ngRy7J4+IN9/Oytz7uOxYcHseLri5ibHmNjMhEREfE2KgoyPKZfDQ5/\n13Z9CRz62NY43sDptPjZW5/zyMr9XcdSokN46RuLmJocaWMyERER8UYqCjI8wuIg85Lu/e0r7Mvi\nBZxOix+8spOnPjvcdWzimDBeunMRGfFh9gUTERERr6WiIMNn1g3d23vehJY6+7J4MMuy+OFru1ix\nKb/r2IyUKF74+iKSo0JsTCYiIiLeTEVBhs/kSyE4yrXd3gS7X7U3jweyLIsH3tjN3zcc6To2PyOG\nv91xJnHhQTYmExEREW+noiDDxz8Isq/t3l/zGDid9uXxMJZl8fO39/CXtXldx+aMi+ap2xYQERxg\nYzIRERHxBSoKMrzO/AZgXNvlObDvPVvjeArLsvjFezn8efWhrmOz0qJ5+vYFhAf525hMREREhuql\nl17iggsuIDo6moCAAFJTU7n99tspKSmxO9oJqSjI8BozGaYs797/7BH7sniQhz/Yx+Of5HbtZ6dE\n8sxtC4jUkwQRERGP8r3vfY/rrruOdevWMW/ePK666ioAnnrqKW666Sab052YfjUpw++se2DvW67t\n/HVwZB2MW2hvplHstyv38+iHB7r2pyRF8NfbzyQqVCVBRETEk3z00Uf86le/Yty4cXz00UdMmDAB\ngPr6etLS0vjkk09sTnhieqIgwy9tPqSf1b2/5rf2ZRnl/rouj19/sK9rPzMhnOe+eiYxYYE2phIR\nEZFT8cgjrjcpfvvb33aVBIDQ0FD8/f0ZM2aMXdEGRUVBRsbiu7u3974NVYdtizJavb+7mJ+8vqtr\nf8KYMJ7T7EYiIiIeqaOjg5UrVxIZGcmyZct6nXv77bcpLy/n4osvtind4KgoyMjIXAqxx5q0BRv+\naGuc0eaDz0v49t+34rRc+8lRwTz31TNJiAi2N5iIiIickr1791JfX8+CBQsICOh+ffiDDz7glltu\nISAggO9///s2Jjw5FQUZGQ4HnHln9/6WZ7QAG67Zjf706UG+9tdNtLS7po6NCPbn6dsWaDE1ERER\nD7Z582YA5s6dy+7du7niiiuYPHkyS5cuxbIsVqxYQXZ2ts0pT0yDmWXkzL4RPvwvaKl1fW37G5z5\ndbtT2er/Vh3kwXf3du1HBPnzp3+ZR1ZShI2pRERE3MSyoLnG7hRDExwFxpz2bbZs2QK4isL777/P\nm2++2XUuJiam11OG0UpFQUZOUATM+RdY+5hrf/3jMP8O19MGH/SP3cX873vdJSElOoQnb52vkiAi\nIt6juQZ+kW53iqH59zwIiT7t2/QsCtdeey233347OTk5/P3vf+fRRx/li1/8IqtWrWLRokWn/WcN\nF9/8F5rYZ8EdYDr/b1d5EPa/b28em+wqrOGe57dhdY5JSIsN4dVvLVZJEBER8QKWZbFt2zaio6OZ\nMGECxhiioqJYsGABDz/8MN///vdpb29nxYoVdkc9IRUFGVkxGZB1Wff+ut/bFsUu1Y2tfOPZzTS1\ndQCu142evGW+Bi6LiIh4iX379lFXV8fcuXP7Pb9gwQIA2tvbRzLWkOnVIxl5C7/ZvQDboU+gZDck\nTrc30whxOi2+8/w2CqqaAHAYeOzmOWQm6kmCiIh4oeAo16s8niQ46rRv0fO1o/7s3LkTgGnTpp32\nnzWcVBRk5KUvhqSZULzDtb/uD3DlY/ZmGiGPrNzPJ/vKuva/d8kUzps8uhdbEREROWXGuOV9f09z\nrChkZmb2Odfe3s7zzz+Pw+Hg8ssvH+loQ6JXj2TkGeN6qnDMjhegvtS+PCPkw70lPLJyf9f+JdMT\n+cZ5E07wHSIiIuKJjk2N+tBDD1FcXNx1vKWlhbvvvps9e/bwla98hXHjxtkVcVD0REHskX01/PMB\nqC+GjhZY/wQs+bHdqYbNkYpG7nl+W9f++PgwfnndLIwbpl8TERGR0WXr1q0A7Nmzh0mTJnHhhRfi\n5+fHpk2bKCgoYMGCBTz66KM2pzw5PVEQe/gH9V5DYeOfoKXevjzDqKyuhdue3kBts2vAUkiAH49/\neS6RwaN//mQREREZmoMHD1JdXc3ChQu59957iYmJ4d1332XlypWMHTuWhx9+mE8//ZTIyEi7o56U\nioLYZ97tEBju2m6uhm3P2ZtnGJTXt3DTH9eRW9bQdex/r5mhaVBFRES81LHxCYsWLeKhhx4iPz+f\ntrY2amtrWb9+Pffccw+BgYE2pxwcFQWxT0g0zLmle3/NY9Deal8eN2tp7+DWpzawv7T7Scm9F03m\nytkpNqYSERGR4XRsfMJAMx55EhUFsdfCO8HROVSm5ohXPVV45J/72VVY27X/nSWZfOeivrMfiIiI\niPc42dSonkRFQewVnQazb+7eX/UraG+xL4+bbM6r4vFPcrv2bzpzHPeoJIiIiHi9rVu3Eh4ezuTJ\nk+2OctpUFMR+534PHJ0De2sLYMsz9uY5TaW1zdy7YhtOy7WfERfKj5ZP1QxHIiIiPqC0tJS6ujoc\nDs//Z7bn/ycQzxedBnN7jFVY9StobRj4+lGstK6ZG/+4jiOVjYBr5eVfXz+b0EDNRCwiIiKeRUVB\nRodz/g38glzb9cXw2SP25jkFdc1t3PzH9b1mOPr3S6cwNz3GxlQiIiIip0ZFQUaHyLGw6Fvd+589\nAtX59uUZIsuy+I9Xdvaa4ei+iyfz9fMm2phKRERE5NSpKMjocc59EJbg2m5vdq3c7CGeW3+Et3cU\nde3fef5E7l6iwcsiIiLiuVQUZPQIioAl93fv73oJCrfYl2eQdhRU87O3Pu/aXzwxju8uzbIxkYiI\niMjpU1GQ0WX2zZA0s3v/o/+xL8sglNQ2c8czm2htdwIQHx7Ib740Gz+HZjgSERHv1nM2v46ODhuT\neD+n09m1PZKzKKooyOjicMCFP+7eP/AB5G+wL88JNLd18LVnNlFS61r3wc9hePRLZ5AQEWxzMhER\nkeFnjCEoyDURSW1t7UmultPR0OCaKCUwMNAzi4IxJtgY81NjzD5jTLMx5qgx5kljTOpp3jfTGNNk\njLGMMe+5K6+MYpkXQ0E7L2EAACAASURBVMq87v2P/tu+LP+/vfsOs6sq9zj+faeXTCY9k95IbwQw\nkFBDr1JEkKZYuPeqwQKKCIogCOoVLGAXVKSIIl3KpUpCh0A66b0nk5lMr+v+sfacM5mSTDJnzp5z\n5vd5nvXsvfbeZ52XYZKc96y2D3e/soL5G4sj9Zs/OZGZh/QJMSIREZH46tnTr+y3fft2tm3bRnl5\nOXV1ddTX16vEoNTW1lJcXMy2bdsAyMvLi+v/35gs7m5mWcDLwExgC/AkMBz4PHC2mc1wzq1qvYV9\n+j2QGYs4JUGYwYk3wt/O9/XVr8H6d2DokaGG1dimogr+NGdNpH75UUO54qhhIUYkIiISf/n5+VRW\nVlJUVERhYSGFhYVhh5S0srKy6N27d1zfM1Y9Cjfgk4S3gDHOuYudc0cC1wJ9gfsOplEz+yIwC/hj\njOKURDFyFgydEa2/89vwYmnB/z7/MVXBvIR+eZl894zxIUckIiISfykpKRQUFDBo0CC6d+9Oampq\n2CElnYyMDHr37s3QoUPj/vNtd4+CmaUDVwfVrzrnIgvJO+fuMrPPAceZ2eHOuQ8OoN1+wP8CLwEP\nA//V3lglgZjBjNmw/i1fX/IUFG+C/EHhxgV8tKGIJz7aHKl/69Sx5GZq52UREemazIzu3bvTvXt3\nwO8t5JwLOarkYGZxnZPQVCw+3RwD9ABWOec+bOH+o8AU4BygzYkC8CsgG/gy0K55DpKgxp4B+UOh\neD24Onj/Pjjp+/t/XQcqqazhm498FKmPK8jjU4fr11NERKRB2B9uJXZiMfRoanBsbcH7eU2e2y8z\nOxO4GLjdObeyHbFJIktJhelXResf/BlqKkMLxznHdY8uYM1Ov/KAGfzgnIlaClVERESSUiwShaHB\ncWMr9zc2eW6fzCwX+A2wDPhJ+0KThDftckjL9uflu2DhP0IL5a9vruW5RVsj9atPHM2MUfGdVCQi\nIiISL7FIFLoFx/JW7pc1eW5/bgOGAV92zlW3JzAAM1vcUgFGtbdtiYOcXjD1M9H63J9Dffw3ddlQ\nWM5Pnl8WqR87ug9fP2l03OMQERERiZdYJAoN4y5am7XS5nEZZnYEfmL0/c65V9sbmCSJmVeDBb+q\nhath8eNxfXvnHDc+sYiKGp+g9MrN4BcXa/dlERERSW6xSBRKgmNuK/dzgmNpK/cBMLM0/DKoxcC3\nYhAXAM65iS0V4GD3dZB46z0KJl0Yrc+5ExptZd7Rnpq/mdeX74jUbzp7Ar27aWsPERERSW6xWPVo\nfXBsbemXwU2ea81g4FBgK/DPJrPlewTH6Wb2GlDqnDv7wEOVhHXsNdH5CduXwPLnYNxZHf62u8uq\n+eHTSyL148b05dxDB3b4+4qIiIiELRaJwvzgeFgr9xuuL2hjewVBaUlP4Hh8r4N0Jf3Gw7iz4eNn\nfP31n8HYM/3SQx3otn8vZVeZnyqTnZ7Kj86bpCXfREREpEuIxdCjN/Af3EeZ2bQW7jeMGXlmX404\n59Y656ylgt+dGeCF4FqPfbUlSeq4RiPSNs+D1R07jWXuip38a150Ma9rTx3DkF45+3iFiIiISPJo\nd6IQrEx0T1C9J1jeFAAzuwa/2dpc59x7ja7PNrOPzeyO9r6/dCEDp8Gok6L11+/ssLcqrarlu49H\nO8EmD8rnypnDO+z9RERERDqbWPQogF/S9B1gJrDCzB4xs7eBO4FdwOebPN8HGAsMiNH7S1fRuFdh\n3VxY91aHvM3NTy1mQ2EFAKkpxh0XTCYtNVZ/XEREREQ6v5h88nHOVeKHB92K30/hPGA48FdgmnZX\nlpgZNhOGzozWX/0RuNZW5j04zy7cwqMfRIcczZ51CJMG5cf0PUREREQ6u5h9Reqcq3DO3eScO8Q5\nl+mcK3DOXemc29DCszcHcw2ubGPbrwXPnx6reCWBHX9d9HztHFj+QsyaLiqv5sbHF0bqhw7pwewT\nD4lZ+yIiIiKJQmMpJPGMmgWjTozWX/w+1NXGpOm7X1nJ7vIaAHIyUvn5xYeSriFHIiIi0gXpE5Ak\nplNuJbLp987lMO8v7W5y7c4y7n9rbaQ++8RDGNGntX0ERURERJKbEgVJTAWTYNpl0fqcu6Cupl1N\n/vi5j6mp8/MdBvXI5gtHj2hXeyIiIiKJTImCJK4TboCUdH++ZxMsfvygm1q4sZjnF2+N1K87fSxZ\n6antjVBEREQkYSlRkMSVPwgmfzpaf/Pug14B6d65qyPnUwbn88mpA9sbnYiIiEhCU6IgiW3GV6Pn\nWxfAmtcPuImtxZU8s2BLpP5fx43EzGIRnYiIiEjCUqIgia1g0t4rIL35qwNu4v631lJbH52bcPrE\nghgFJyIiIpK4lChI4psxO3q+8iXY/FGbX1pRXcdD766P1D83c5h2YBYRERFBiYIkg1EnwoCp0fqc\nn7X5pb9/fRVFjfZNuPgTQ2MdnYiIiEhCUqIgic8Mjvt2tL70adi+dL8vW72jlN+8uipSv+zIoeRn\np3dEhCIiIiIJR4mCJIexZ0G/CdH66/vuVXDO8f0nF1FdVw9A/+6ZfO2k0R0ZoYiIiEhCUaIgySEl\nBY69Nlpf/BgUbWj18cc/3MQbK3dF6jefM5G8LPUmiIiIiDRQoiDJY+L50HO4P3f18P59LT62fU8l\ntzy9JFI/cVw/Tp+klY5EREREGlOiIMkjJRU+cVW0Pu+vUFO51yPOOW58YhHFFX4Cc7fMNG49b5L2\nTRARERFpQomCJJdpl0Fatj8v3wWLH9/r9vOLtvLikm2R+nfPHMegHtnxjFBEREQkIShRkOSS3ROm\nXBStv/uHvW7/ae6ayPnMUb25dLqWQxURERFpiRIFST7TGw0/2jwPNs0DYOX2Ej5Ytzty6/ozxmnI\nkYiIiEgrlChI8imYDEOOitY//BsA/3h/Y+TS+AHdmTwoP96RiYiIiCQMJQqSnA7/XPR84aPUVJTw\n2LxoonDxEYPVmyAiIiKyD0oUJDlNOBcy8vx51R6WvvwAO0urAchIS+G8aYNCDE5ERESk81OiIMkp\nIxcmXxipZi18IHJ+2sQCeuRkhBGViIiISMJQoiDJ67DPRk7HVC1ilG0C4KIjBocVkYiIiEjCUKIg\nyWvgNOg/KVI9P3Uu/fIymTmqT4hBiYiIiCQGJQqSvMxg6iWR6nmpb3Du1AJSUzSJWURERGR/lChI\nUtsw6EzqnE8MBttOLh2wOeSIRERERBKDEgVJav9aUcsb9dHhR8M3Ph1iNCIiIiKJQ4mCJK36ese/\n5m3ksbpjI9dsyZNQUxliVCIiIiKJQYmCJK3/rNjBhsIKXqg/gjKX6S9WFcOyf4cbmIiIiEgCUKIg\nSeuBt9YBUEEW8/OOi954776QIhIRERFJHEoUJCltKCznlWXbI/WcmVdFb66bC9uXhhCViIiISOJQ\noiBJ6eF31+OcPx/eO4cpR54CBVOiD7z3p3ACExEREUkQShQk6ZRX1/L39zZE6pcfNYyU1BT4xJei\nD83/O1SVhBCdiIiISGJQoiBJ56F31lNYVg1AdnoqFx4+2N+YfCFk5vvz6lL48MGQIhQRERHp/JQo\nSFKprKnjd/9ZHalfMWMYPXIyfCUjF6ZdFn147l1QXR7nCEVEREQSgxIFSSp/f3c9O0urAMhMS+FL\nx47Y+4GZV0Nalj8v3Qbv/iHOEYqIiIgkBiUKkjQqquv47X9WReqXHjmUfnlZez/UfeDecxXe+AVU\nFscpQhEREZHEoURBksZ9b6xh2x7fm5CRmsJ/Hzeq5QePuQYyuvnzit3w5j1xilBEREQkcShRkKSw\no6SK37y6MlK/8ujhFORntfxwbm846ivR+pt3w57NHRyhiIiISGJRoiBJ4RcvLaesug6AHjnpfPWE\nQ/b9gplXQ25ff15bAa/c1sERioiIiCQWJQqS8FZsK+Hhd9dH6l8/aTT5Oen7flFWd5h1Q7T+0UOw\nZX4HRSgiIiKSeJQoSMK747mPqW+0C/NlRw5r2wunfRb6jgsqDp69DurrOyRGERERkUSjREES2hsr\nd/LKx9sj9evPGE9GWht/rVPT4NQfResb3oZ5f4ltgCIiIiIJSomCJKy6esdt/14aqU8f3ovTJvY/\nsEZGnwwTzo3WX/wB7NkSowhFREREEpcSBUlYT83fxNIteyL1G84aj5kdeENn/BQy8/151R547tsx\nilBEREQkcSlRkIRUXVvPz19cEamfM3Ughw7pcXCN5RXAKbdE60ufhqXPtDNCERERkcSmREES0j/e\n38D6wnIAUlOMa08Z074GD/scDJ0ZrT/7bajc0/rzIiIiIklOiYIknMqaOu5+JdqbcNERgxneJ7d9\njaakwDm/hNQMXy/ZDC/fsu/XiIiIiCQxJQqScP721jq27akCICMthatPHB2bhvuOgeMazU94717Y\nujA2bYuIiIgkGCUKklBKKmv4zWsrI/UrjhrGwB7ZsXuDo78BfRqGMTl44QZwLnbti4iIiCQIJQqS\nUO6du4bd5TUA5Gak8pUTRsX2DdIy4NTbovU1r8Py52P7HiIiIiIJQImCJIzCsmr+NGdNpP7FY0bQ\nu1tm7N9o9Kkwcla0/sKNUFMR+/cRERER6cSUKEjCuOvFZZRW1QKQn53Ol44b2TFvZAan3Q4W/PEo\nXOWTBREREZEuRImCJIT31xbywNvrI/UvnzCK7lnpHfeG/SfAUV9pFMC9fn8FERERkS5CiYJ0elW1\ndVz/WHT1oTH9u/GFo0d0/BufdBMMmBqtPzkbdq3q+PcVERER6QSUKEin98fXV7NyeyngRwXdccEU\nMtLi8Kublgmfug/Sgz0aKovgoYugvLDj31tEREQkZEoUpFPbWlzJr1+Nfot/+ZHDOHxYz/gF0OcQ\n+OSvovVdK+GRy6G2On4xiIiIiIRAiYJ0av/7wjIqauoA6J2bwbdPHxv/ICZfCLMaTWZe9wY8f338\n4xARERGJIyUK0mkt3FjMv+ZtjNS/ecqYjp3AvC/HfRumXhKtv38vfPhAOLGIiIiIxIESBemUnHP8\n8JnFkfrY/nl85hNDwgvIDM7+BQw8LHrtmWtg/TvhxSQiIiLSgZQoSKf03KKtvLd2d6T+vbPHk5Ya\n8q9rehZc/DfI6ePrdVXw0Kdh66Jw4xIRERHpAEoUpNOprKnj9meXRuonjevHsaP7hhhRI/mD4aL7\nITXD1yuL4YELoHB1uHGJiIiIxJgSBel0/vzGWjburgAgLcW44azxIUfUxPCj4cI/R3duLt0G958H\ne7aEG5eIiIhIDClRkE5lR0kVv351ZaR+xYxhjOrbLcSIWjH+bPjk3dF60Trfs6A9FkRERCRJKFGQ\nTuWuF5dRWlULQH52Ol8/aXTIEe3DtMvh1Nui9e1L4B+fhbra8GISERERiRElCtJpLN2yh0fe2xCp\nf/Pk0fTIyQgxojaYeTUcc020vnYOvPSD8OIRERERiRElCtIpOOf44dNLqHe+PqpvLpcdNSzcoNrq\npJtg0qei9bfugUX/Ci8eERERkRiIWaJgZllmdouZLTezSjPbbGb3mdngA2ijh5ldamYPmdkSMysz\nsxIze8fMvm5mIe22JR3t4Xc38NbqXZH6986aQHrYy6G2lZmfr9BvYvTak7Nh2+LWXyMiIiLSycXk\nk5iZZQEvAzcB3YAngQ3A54F5ZjaqjU19C3gQuBgoB54G3gWmAr8AXjGznFjELJ3HhsJybvv3kkj9\n5PH9OGFsJ1kOta0ycuEzD0BWvq/XlMPfL4OK3ft+nYiIiEgnFauvbG8AZgJvAWOccxc7544ErgX6\nAve1sZ1S4HZgqHPuCOfcZ5xzJwGTgfXAMcD3YhSzdAL19Y5vPzqf8uo6wE9gvv38yZhZyJEdhF4j\n4VP3AkHsu9fAPz4H1eWhhiUiIiJyMNqdKATDga4Oql91zpU23HPO3QUsAI4zs8P315Zz7sfOuRud\nc5uaXF8BXB9UL2lvzNJ5PPbhJt5eHV1S9NbzJtGve1aIEbXT6FNg1o3R+pr/wIOfhqqS8GISERER\nOQix6FE4BugBrHLOfdjC/UeD4zntfJ/5wXFgO9uRTqK4ooY7Gu3AfNrE/pwzZUCIEcXIsdfC5E9H\n6+vmwt/Oh4qi8GISEREROUCxSBSmBsd5rdyf1+S5gzUyOG5tZzvSSfz8xeXsKqsGIDs9lZvOmZiY\nQ46aSkmB838Ph14WvbbxPfjrOVC2q/XXiYiIiHQiaTFoY2hw3NjK/Y1NnjtYXw+OTx7Ii8ystaVn\n2jrBWjrAmyt3cv9bayP12ScewqAe2aHFE3MpqfDJeyAtC96/11/bugD+chZc/i/IHxRufCIiIiL7\nEYsehW7BsbUZm2VNnjtgZvY/wMlAEfDjg21HOodVO0r5nwc+iOyZMKJPLl86dkS4QXWElBQ46044\n6qvRazuWwr2nwPalrb9OREREpBOIRaLQMFbE7ef+wTVudjzwy6D9LzjnNh/I651zE1sqwKr2xCUH\np7iihi/+5T32VNYCkJWewi8uPpTMtNSQI+sgZnDaj+C466LX9myCe0+DlS+FF5eIiIjIfsQiUWhY\nziW3lfsN+x6UtnK/VWY2BXgCyAC+7px7/MDDk87kzv9bxtpd0c6nuy46lKlDeoQYURyYwYk3wpk/\nI5I3VxX71ZDe+BXU14canoiIiEhLYpEorA+Ore3APLjJc20SbNL2An5FpZudc3cfXHjSWSzaVMwD\nb6+L1L920mjOnJwEqxy11fSr4OK/QXqQO7t6ePH7cN9psGX+vl8rIiIiEmexSBQaPuEc1sr9husL\n2tqgmQ0EXgQKgF865245+PCkM6ivd9z05KLIvISRfXOZPeuQcIMKw/hz4AsvQP6Q6LWN78IfToDX\nfgz1daGFJiIiItJYLBKFN4BiYJSZTWvh/oXB8Zm2NGZmPfE9CSOAPwPfjEGMErLHP9zEvPXRfQR+\n+MlJZKTFamPwBDNgCvzXazDh3Og1Vw+v3QH3nws7V4YVmYiIiEhEuz+pOeeqgXuC6j1mFpmrYGbX\nAFOAuc659xpdn21mH5vZHY3bMrMc4FlgEvAP4CrnXGuTpCVBVNXWcdeLyyP1MycXcMzoPiFG1Ank\n9oGL7ocrHoeew6PX186BX0+Hp66Gsp2hhSciIiISi30UAG7DL186E1hhZnOAYcCRwC7g802e7wOM\nBZoOUP8RcBRQB9QC97a0AZdz7soYxS1x8ODb69lUVAFAeqpx/enjQ46oExl1Ivz36/D0N2DxY/6a\nq4N598Oq1+DSR6D/hFBDFBERka4pJomCc67SzGYB3wUuBc4DdgN/Bb7vnNvQxqZ6BsfUoJ3WXHmQ\noUqclVbVcs+r0aE0l04fytDeOft4RReUlQ8X3gfjz4aXb4Xda/z14vVw76n+3phTw41RREREupyY\nDRJ3zlU4525yzh3inMt0zhU4565sKUlwzt3snLOmPQPB87a/EquYpeP97rVVFJZVA5CTkcrsE0eH\nHFEnZQaTPgWz34OTbyGyjGp1CTx8Mbz9O9AoPBEREYmjLjqbVOLh4617+N1/ovvafeHoEfTNywwx\nogSQmg7HfAMu+TtkBJuZu3p4/jvw+P9A6Y5w4xMREZEuQ4mCdIi6esd3/rWQ2mA91EE9svnyCaNC\njiqBjD3dL6PavdH2JAv+DncfDu/8Hupqw4tNREREugQlCtIh/vrmWuZviC6HevsFk8nNjNXc+S6i\nYBJc9QoMOiJ6raoYnrsOfn8crJ0bXmwiIiKS9JQoSMztKKni542WQ71g2iCOH9M3xIgSWF5/+MLz\ncPqPIbN79Pr2xfCXs+DRL8KezeHFJyIiIklLiYLE3J3/t4ySKj80Jj87ne+dreU92yU1HY76Mlz9\nARx6+d73Fj0Kdx8Bc38OtVXhxCciIiJJSYmCxNSiTcU88n50oatvnjyaXrkZIUaURLr1g/N+DV98\nCQYcGr1eUwYv3Qy/nQkrXgotPBEREUkuShQkZpxz/PCZJZFVPEf368ZlRw0LN6hkNOQTfu7COb+E\n7F7R67tWwoOfgocvhd1rQwtPREREkoMSBYmZV5dt5901hZH698+eQHqqfsU6REoqHH6lH470iavA\nGv2cl/0b7pkOr94O1eWhhSgiIiKJTZ/iJCbq6h0/eW5ZpH7cmL4cpwnMHS+nF5z1M/iv/8DQGdHr\ndVXwn5/Ar4+EpU9rszYRERE5YEoUJCae+HATy7aVROrXnTY2xGi6oAFT4PPPwQV/hG4F0evF6+GR\ny+Fv58OO5a2/XkRERKQJJQrSbpU1ddzVaDnUcw8dyKRB+SFG1EWZwZSL4Or3YebXIKXRvhWrX4Xf\nzoD/+x5U7gkvRhEREUkYShSk3f74+mo2FVUAkJ5qXHuKehNClZkHp94KX34LRs6KXq+vhTfvhrsP\ng7d/BxVFrbchIiIiXZ4SBWmXbXsq+c1rqyL1K2cOZ2jvnBAjkoi+Y+CKx+HiByB/aPR62Q54/jtw\n5zh44iuw4V3NYRAREZFmlChIu/zk+Y+pqKkDoFduBrNPHB1yRLIXMxh/Dsx+F064AdKyo/dqK+Cj\nB+HeU+D3x8LyF5QwiIiISIQSBTlo8zcU8di8TZH6taeOIT87PcSIpFXp2XDCd2D2ezBj9t77LwBs\nXQgPXQR/PhPWvxNOjCIiItKpKFGQg9KwuVqDcQV5XHzEkBAjkjbpMQRO+xFc+zF86l4Yfuze99e/\nCfedCg9fAps/DCdGERER6RSUKMhBeXrBFj5YtztSv+nsCaRpc7XEkZYJky+EK5/xezCMOmnv+8ue\nhT+c4JdVXTtXQ5JERES6IH2ykwNWVlXLj59dGqmfMqE/Mw/pE2JE0i4DD4UrHoPPPQ2DDt/73qpX\n4C9nwb2nwpv3wJYFShpERES6iLT9PyIS5Zzje08sYnNxJeCXQ73hzPEhRyUxMeI4+NLLvjfh9Z/B\n5nnRexvf9QWg5wiYeglM/Qz0HBZOrCIiItLh1KMgB+Sf72/k8Q+jE5i/fPwoRvTJDTEiiSkzGHcW\nXPUKfPZJnzw0tXsNvHY7/HIK/OVs+OghqCqNf6wiIiLSodSjIG22YlsJNz21KFKfPrwXXztJy6Em\nJTMYeYIvGz+ApU/B2jmwaR7QaOjR2jm+/PtbMOFcOPQSGHYMpOg7CBERkUSnREHapLKmjq/9/SMq\na+oBv2fCLy85VBOYu4LBh/sCULwRFjwCHz0Mu1ZEn6kpg/kP+ZI/1A9LOvQS6DUynJhFRESk3fQp\nT9rkp88vY+mWPZH6nZ+eyoD87H28QpJS/mA49lq/H8MXX4IjvgBZ+Xs/U7weXv8p/Goa3H8uLH4C\nairDiVdEREQOmnoUZL9eW7ad+95YE6lfOXM4s8b1CzEiCZ0ZDPmEL6fd4SdAz38YVr4Erj763OrX\nfMnoBmNOh8OugBHH+9eLiIhIp6ZEQfZpZ2kV3/rngkh9bP88rj9jXIgRSaeTngWTLvClZCss+Ad8\n9CDs+Dj6THUpLHrUlz5j4BNf8sOTmvZGiIiISKehoUfSKucc33l0ATtLqwDISEvhV5dMIys9NeTI\npNPKK4CjvwZfeRs+/xxMvgjSm6yKtXM5PHcd3DkenrkGtn/cclsiIiISKvUoSKseenc9L3+8PVK/\n4YxxjC3ICzEiSRhmMGymLzUVfkjSB3/1x4ZVk2rK4P17fRl5Akz/bxhzGqQoERUREekMlChIi7aX\nVPLj56Lf9M4a25fPzRweXkCSuNKzYfw5vhSuhvfuhQ8fgMqi6DMNcxky82HAFL9D9KhZMOQoP7RJ\nRERE4k6JgrTotmeWUlJZC0BeVho/+dQUTBNQpb16jYTTfgSzbvTzFd75A2xbGL1fVRzdm+GNX0Ba\ntu+VOOQkGHuGllsVERGJI81RkGbmrNjBU/M3R+rXnT6Oft31ra7EUEYOHPZZ+J85cOWzfrM2a2HI\nUW0FrHoZXrjBL7f6mxnw7h+huiz+MYuIiHQx6lGQvZRW1XL9v6Lf8B46pAeXTR8aYkSS1Mxg+NG+\nVO6BrQth8zxY8zqsnQs15Xs/v30JPPsteOU2GH0qjDgORh4PPfQ7KiIiEmtKFGQvdzy7lE1FFQCk\npRi3nz+ZlBQNOZI4yOoeTRpmXg21VbDhXd+jsPwFnyQ0qCyChf/wBaDncJ80jDgeCqZA/iDIyG3x\nbURERKRtlChIxBsrd/LgO+sj9a/MOoQJA7uHGJF0aWmZMOJYX06+GXau9Cskzbvf78vQ2O61vsy7\nP3qt5wgYeyaMPR0GT9ekaBERkQOkREEAqKyp44bHo0OOxg/ozuxZh4QYkUgTfQ6B0++AE66HVa/C\nmv/4IUq7Vrb8/O418PavfUnNgEFHwPBjfI/F4Ol+noSIiIi0SomCAHDv3DWs2+XHg6emGD/79BQy\n0jTXXTqhrHyYeJ4vAMWb/CpJa16HdW9C8Qaor937NXXVsP5NX14HUtJh0GE+cRh2tB+ulNvHz5kQ\nERERQImCAFuKK7jnlei3sp+dMYyJA/NDjEjkAOQPgqmf8QWgvs4nCytehGXPwfq3mk+Krq+BDe/4\nMudOfy2rR7CHwxHQb4Kf99B3jE9MREREuiAlCsKP/r2Uipo6AHrlZvCNk8eEHJFIO6Sk+g/506/y\npbYatnzkV1Fa9wasf7v5HAfwE6TXvO5LhEGfMVAwGXqN8PMeeo2A3qOhW994/ReJiIiEQolCF/fY\nvI08s2BLpH7daWPJz04PMSKRGEvLgCHTfTn2Gqirha3zYe0bfsjSxvegYncrL3awc5kvTfUcDkNn\nwJAjfek1UhOmRUQkqShR6MJW7yjle08sitSPGNaTTx8xJMSIROIgNQ0GHe7L0V/z18p2+eVXN8+D\nzR9C4WrYtRqqS1pvp2GlpfkPR6/l9oX+k2DwEcF7HKGeBxERSVhKFLqomrp6vvb3Dymv9kOOumel\n8ctLppGqPROkK8rtHV2KtYFzsGsVbPoAdq2AwjU+MShcDRWFLbdTtgNWv+pLg4aeh0GHQ7/x0He8\nfz8REZFOTolCt3IT5QAAGzdJREFUF/XnN9awaNOeSP2nF05lUI/sECMS6WTM/JKsfVpYJrhog58I\nvf5tX7YvBlffcjut9Tz0HecTh37joWAq9J8A6fozKCIinYcShS5o4+5yfv7iikj9oiMGc/qkghAj\nEkkwPYb4MvlCX6+rgZItvgdi8zzY+AFseh9Kt7X8+rIdvqyd0+iiQd4AyB/sV3LKHwy9RkGf0dB9\nEOT0hsw8LeEqIiJxo0Shi3HOcfNTi/da5ei7Z4wPOSqRBJeaDj2G+jJqlr/mHBRvjC7Dum0xbF/a\n+rAlHJRs9mVjK49k5UP/yX4VpoJJ0H+iX5UpI7cj/qtERKSLU6LQxTy9YAsvLd0eqd945nh65maE\nGJFIkjJr3vPgHJRuhx1LYfvH/rhtMWxdBLUV+2+zshjWzfWlse6D/Z4PfZqUbv3UAyEiIgdNiUIX\nsqOkih88GV3laOao3lxw2KAQIxLpYswgr78vI0+IXq+rhaJ1sGeT74Uo3gi718Gulb6U7wJc6+3u\n2ejLqlf2vp6V3zx56DsWegzzqz+JiIjsg/6l6CKcc3zviYXsLq8BICcjlZ98agqmbxtFwpeaBr1H\n+dKS+jooL/T7OWxdBFsXwraFsGP5vnsiKov9PhEb39v7ekq6f6+GxKHfeOg30V9L1T4qIiLiKVHo\nIh7/cBMvLI5OrPzuGeMY0isnxIhEpM1SUv1+DN36wvBjotfr66F4A+xcEWwMt9yf71gG5Ttbb6++\nBnZ87MvSRtdTM6D3IX5SdV4BdOvvz7sP9JOr+4yBDP29ISLSVShR6ALW7yrnpicXR+ozRvbmsiOH\nhRiRiMRESgr0HObL6JP3vldeGCQOQdkRHIvWtb6Ua12133hu+5KW71sq9JvgJ1H3HOaHMDUcuw/0\nCY2IiCQNJQpJrraunm888iGlVbUA5GWl8bOLppKijdVEkltOLxh6lC+N1VRC4Srf67Bzue9V2LbE\nz4Vwdftu09X5IU/bFja/l5IO3QdATh/fEzFgqt9krv9En0RomKOISMJRopDk7nl1JfPWF0Xqt58/\nWRuriXRl6Vn+w3v/iXtfr6n0iUPhKr8yU8lWvw9EyRYo3gRF6/c9H6K+xj9TtN7Xlz8XvZeR5+dC\n9B3nk4ac3n6viF6joNcIbTQnItJJKVFIYh+s282vXo5urHbBYYM4Z+rAECMSkU4rPQsGTPGlJfV1\nvhdi8zwoXO1XZSpa549l21t+TYPqEr8B3ab3W7hpfv5D3gA//yG7l59c3Xcc9BrpEwntEyEiEgol\nCkmqpLKGbzzyIfXBiopDemVzyycn7vtFIiKtSUmF/hN8aaq63PcklGz2cyMK1/ikYPNHULp1Pw07\nPyG7eEP00uImj+T28wlD/4lQMMWf5w3wJat7e//LRESkFUoUktTPXljGhkI/TCA1xfjFxdPIy9Ky\nhyLSATJyoN84X5qqKIrOhdi5HMp2QtkO2L3Wl/ra/bdftt2XDe+08N7d/ApNeQN8z0TPEX54U0Zu\ntKTn+Ocyu0FuXy0BKyLSRkoUktCSzXv429vrIvXZsw7h8GE9Q4xIRLqs7B4wZLovTdXVQvF62LXa\nbypXUwZ7NsP2pT6p2L3Wr8S0L9Wl0Y3p2sQgt0902de8Asgb6PeQKJjij1q9SUQEUKKQdJxz3PzU\n4siQo5F9cvnqrEPCDUpEpCWpacE8hJEt36+v98OZCtf4xGHrQti22CcTpVvb1hvRjPM9GmU7YOuC\n5rdT0n3PRI+h0GOIX/o1f4i/lt0zKD18L4VWchKRJKdEIck8NX8z764tjNRvOmcCGWkpIUYkInKQ\nUlL8B/T8wTDi2L3v1df7TeVKtsCeLT6hKFrvk4qynb53orocqsuC87L9906AX71p9xpf9iU1ww9j\n6tY/KP2aHBuda5M6EUlQShSSSFlVLbc/G91m9eTx/TlhbL8QIxIR6SApKcEH8X5+z4a2qKn0iUXJ\nVp9YlGz1vRN7Nvm9JHYuB1zb2qqr9q/bs2n/z2bkRWPN7hXtlWjoocjp5Sdsd+sPef0hM69tMYiI\ndDAlCknknldXsm1PFQAZaSncdHYLq5OIiHRV6Vl+xaReI1q+X10W3QuiaL1fialoPRRt8AlGRZHv\nnThQ1SVQWOL3qGhTnLk+YehWEByDklfQ6Fjgk4wU9RiLSMdRopAk1uws409zVkfq/33cSIb2Vne3\niEibZeT6PRz6jW/9mdpqqCzyy8CWbfeb05VuC8r2vY9lO2lzD0VjNWV+r4rC1ft+LiU9OrypIYlo\nGOrUMDSqzxg/3yIrX3MqROSAKVFIEj98ejE1df4fpIH5WXzlBE1gFhGJubSM6DAiWlgOtrG6Wj+P\nIpI8bI8mGRW7o6V8l79Xth1cfdtjqa9p+/CnlDS/I3ZOb8jq0Wj52G4+sWio5/b1vRXd+vnkI7ef\nn3QuIl2S/vQngZeXbuPVZTsi9RvPmkB2hpb3ExEJVWpasPxqQduer6/zvRANPRQlW/3qTiXb/LF0\ne3BtG9RWHlgs9bXRdg9IsJxswzCo7oN8L0XPYZDZ3e9NkZEXHIOi4VAiSUOJQoKrrKnjlqeXROoz\nRvbmzMlt/EdJREQ6j5RU/2E8r/++n3MOKosbJRPbg4QiOK+t8EOkijf6/SXqqtoRVKPlZLctbMPz\n5nfLzuoRnbDd9Dynt0+ecnr5+Rjp2X652fRsX7SPhUinoUQhwf1pzmrWF5YDfgfmW86diGkcqohI\n8jILPnj3gL5j9/1sfX0w3GlXtFQUQU2536yuYQnZ6lKoKvEJQUOvRdWegwguSGIqi6Fo3f4fb0lq\npk8icnr7Y3Yvf2yWfDRePaqXlqEV6QBKFBLY5qIKfv1qdBWNz84Yxpj+WlZPREQCKSnBh+5ewOgD\ne211+d5Dn0q2+d2yd63we1dUl0BVkGDU18Qu5rqqYBnbLQf2uoy8FlaJ6gdp2ZCa7pedzerhJ3Zn\nB8esHn41LBFpkRKFBPajZ5dSUVMHQO/cDL5x8piQIxIRkaSRkbPvnbMbq60KkoagN6Fit++5qNjt\nezQazhsmb5ds9ee1lQc+36I11SWwq8QPtzoQKWmQluVXikrL8olDRrdgDkYw/yIzr1HpHtxvVG/8\nXHqu5mlI0ohZomBmWcB3gUuAoUAh8Dxwk3Nu4wG21QO4GTgfKAC2Ak8AP3DOFcUq5kT25qqd/HtB\n9NuW75w+jvzs9BAjEhGRList05fc3gf+2vp6P6+ipiIYElUWTSjKd/kJ3pVF0eSjcSJSWeSHTbVH\nfW3729iLRZOI9BywFD9cLD07OuE7s1ujVaeCemqGf21ahu8Rye3rn0nP9slHRo7vHVESInEUk0Qh\nSBJeBmYCW4AngeHA54GzzWyGc65NO82YWW/gLXwf6Wp8gjAR+Bpwppkd5ZzbFYu4E1VVbR03P7U4\nUp86pAcXHj44xIhEREQOUkpKdHnWg1FbDRWF0bkVjY9l2/39umqfDDQkFxVFsR0utRfn53cc1ByP\nNkjL9klDelAan6dnRxOQyBCrRsOtMrsHPSeZ0Xkfmtco+xCrHoUb8EnCW8CpzrlSADO7BrgTuA84\nvo1t/RyfJDwGXOycqw3a+hVwNXAX8LkYxZ2Q/vf5ZSzfFv3245ZPTiQlRX/QRUSkC0rLOLBlaMGv\nHFVTEfRIlPmhU3VVPqlomOhdVbLvUt3ovHJPByYeTdRW+EIMvjNNywr2BQlWoWoYSpXV3fdipKb5\njf1Sg5KWFfQeZQfHYKhWepDoNSyTm6oRDsmi3YmCmaXjP8ADfLUhSQBwzt1lZp8DjjOzw51zH+yn\nrQLgMqAG+EpDkhD4NvAZ4DIzu845d6CLQSeFuSt28qe5ayL1K2cO59AhPUKMSEREJMGYBRvNxXCl\npNqqFpKJMn/P1fsdt6vL/FyO6jKfaETqpVAXJBrVZb4npHyXn1BeWxG7GJvFXAlF632JpYaJ5Tm9\ng16PJpv7NSQWGTnB9dzguW7Nl8tNy/S9IClp6v0IQSx6FI4BegCrnHMftnD/UWAKcA6wz0QBOANI\nAV5tmgg456rM7GngC8Fzf2ln3AlnQ2E51/zjo0h9dL9uXH/GfnYGFRERkY4XmafRJ7btNszhqC73\nvR015U3Oy4Lziuh5VanvLaksjg63qiyO9nzUVoGri22cjR3sxPJ9SQ3mbuT0jiYdDUlIZAhWkHw0\nzOvI7hndST23r///IwckFonC1OA4r5X785o81962vtDGtjol5xzFFQfePbmztJor//wu20v8xjnp\nqcYvPnMoWenamEZERCRptXcOR0vq6/2E8MYb9VUW+USiao9PKmoq/ETv+lrf29EwNKu2wicatZVQ\nUxlNYtq1sV8b1FVD8QZfDlZWPuT288OsGuZqpGYGw6qCnovIilYNE82DHcjTsnyvRqSk+mNq+t71\nps9kdEvoTQRjkSgMDY6trWy0sclz8WoLADNb3MqtUW1tI5Zq6hyH/vDFdrfzw3MnMXFgfgwiEhER\nkS4lJcWvUJXbG/pPjE2bdTXB3I5SKN/p992oLI4Ouapu2OSvrIUN/8qizzX0jHREj0fDZoDxXBLn\nqldh0GFxfMPYikWi0C04lrdyv6zJc/FqK2nddPYELpne5lxJREREpGOlpge7ZPeEHkPa315djU8Y\n6qp9r0blHt8DUl7YaPhVWXQYViQBKYveL9/l53tUFrc/noOVkthblsUi+oaZJW4/9+Pdlm/IuRZT\n5aCnYcKBthem9FTj+jPG84VjRoQdioiIiEjHSU33S7o26D4Q+h3kvMyaSijb4ZOG0h1+mFVddbDa\nVcOxxg+nqi5rtKpVabSXpK4qGIpV559tOG8YnlVf23IviBIFSoJja4PnGpYUaMtuJrFsq1NKTzUW\n3nzqQb02My2VjDRttCIiIiLSZulZvpcjFj0d++JckDzURJOHjLyOfc8OFotEoWFNrdZ2/Brc5Ll4\ntdUpmRl5WVpfWERERCSpmPm9J1ITuxehsVh8PT0/OLY2U6Ph+oI4tyUiIiIiIgcpFonCG0AxMMrM\nprVw/8Lg+Ewb2noeqAeONbN+jW+YWSZ+L4Z64LmDD1dERERERPan3YmCc64auCeo3mNmkfkFZnYN\nfrO1uc659xpdn21mH5vZHU3a2gI8DGQAvzGzxn03PwX6Ag8557a2N24REREREWldrAZR3QacDMwE\nVpjZHGAYcCR+tdrPN3m+DzAWGNBCW98AjgI+BXxsZu8DE4FJwCrgmzGKWUREREREWhGTJXScc5XA\nLOBW/B4I5wHDgb8C05xzbd7D2zm3E/gEcDe+Z+F8IB/fazE9uC8iIiIiIh3InGtty4LkZmaLJ0yY\nMGHx4tY2bhYRERERSSwTJ05kyZIlS1rbS+xAaFF+ERERERFpRomCiIiIiIg0o0RBRERERESaUaIg\nIiIiIiLNKFEQEREREZFmlCiIiIiIiEgzShRERERERKQZJQoiIiIiItKMEgUREREREWlGiYKIiIiI\niDRjzrmwYwiFme3JzMzMGzVqVNihiIiIiIjExKpVq6iqqipxznVvb1tdOVHYCuQAG0IKoSFDWRXS\n+3c1+nnHn37m8aWfd/zpZx5f+nnHn37m8RWrn/cQoNw5V9DOdrpuohA2M1sM4JybGHYsXYF+3vGn\nn3l86ecdf/qZx5d+3vGnn3l8dcaft+YoiIiIiIhIM0oURERERESkGSUKIiIiIiLSjBIFERERERFp\nRomCiIiIiIg0o1WPRERERESkGfUoiIiIiIhIM0oURERERESkGSUKIiIiIiLSjBIFERERERFpRomC\niIiIiIg0o0RBRERERESaUaIgIiIiIiLNKFGIIzPLMrNbzGy5mVWa2WYzu8/MBocdWzIys8PN7Hoz\ne8zMNpmZM7PKsONKRmaWY2bnmdm9ZrbAzPaYWZmZzTezm8ysW9gxJiMzuyb4/V5hZsVmVmVm68zs\nr2Y2Mez4kp2Z9TKz7cHfLR+HHU8yMrPXgp9va+X0sGNMVmZWYGY/Dz6zVJhZoZl9YGY/DTu2ZGFm\nJ+zn97uh3BRajNpwLT7MLAt4GZgJbAHmAMOB6cAOYIZzblVoASYhM3sCOLfJ5SrnXFYY8SQzM/sS\n8MeguhhYAnTH/77nAR8DxzvntocTYXIys51ALrAA2BRcngiMAaqB85xzz4UUXtIzs78AnwUMWOac\nGxduRMnHzF4Djgf+BZS28MidzrmFcQ2qCzCzGcCzQA/83+eL8H+XTwAGO+fSQgwvaZjZOOD6Vm6n\nApcH5yc6516NT1R7U6IQJ2b2Q+D7wFvAqc650uD6NcCdwOvOueNDDDHpmNl3gBzgvaBsRYlChzCz\nzwJHAT93zq1odH0A8G9gGvCwc+7SkEJMSmZ2NPCBc66yyfUvA78BNgNDnXN1YcSXzMzsJOAl4A/A\nf6FEoUM0ShRGOOfWhhtN12BmA/Ff+GQClznnHm9yf7pz7t1QgutCzOwMfLK2ARjunKsPJQ4lCh3P\nzNKB7fjM/DDn3IdN7s8HpgBHOOc+CCHELsHMHEoU4i74ZupNoAro7pyrDjmkLsHMVgCHABOdc0vC\njieZmFk2vhenGjgPWI4ShQ6hRCH+zOx+4ArgaufcPWHH01WZ2YPApcCPnXPfDSsOzVGIj2PwScKq\npklC4NHgeE78QhKJm/nBMRPoHWYgXUxDL4ISs9j7ATAK+DJQE3IsIjFjZj2Bi4Bi4E8hh9NlmVku\n0aHTD4QZi8aYxcfU4DivlfvzmjwnkkxGBscaoDDMQLqKYCjYWPw33atDDiepmNkU4Frgz865181s\neLgRdRlfNLPeQD3+9/oJ59z6kGNKRkfjv9R5CagxswvxX3am4+ea/cM5ty3E+LqKC/Dzzz50zi0O\nMxAlCvExNDhubOX+xibPiSSTrwfH551zVaFGkqTM7Nv4Scy5wPjgfDNwaVjjWpORmaXgJ+0XAdeF\nHE5X870m9Z+Z2a3OuVtDiSZ5NayWtg2/6MqMJvfvMLPPO+f+Gd+wupyGScx/CzUKNPQoXhqWhixv\n5X5Zk+dEkoKZnQl8Ed+b8P2Qw0lmpwGfAy7E/0O/AZ8kaM5TbF2NX6nu2865XWEH00W8jh8vPwq/\nOMVY4EagFvihmX19H6+VA9czOH4WP3fyi0BfYARwF/7LiAeCnjXpAGZWAJyEHz76cMjhKFGIEwuO\nrc0ct1auiyQsMxuPH1tp+A9W8/fzEjlIzrmTnXOG/0f+OGAZ8JqZ3RhuZMnDzIYAtwH/cc79JeRw\nugzn3E3OuQecc6udcxXOueXOudvxk8gBbgkml0tspAbHNOAa59x9zrmdzrm1zrlr8XMqM1CPWke6\nFP//4UXn3Nawg1GiEB8lwTG3lfs5wbGlNaJFEk6wieDz+A+udznnfhlySF2Cc67IOTcHOBP4ALjV\nzD4RcljJ4jf4D0hfDjsQAefc/wHvA/n4pZklNho+r9QDf23h/n3B8YS4RNM1dZphR6A5CvHSMOGq\ntR2YBzd5TiRhmVkf4EX8nJs/A98KN6KuxzlXY2aPAIfjV1N7L+SQksHZ+LkJvzXbqxO4YbnlocFS\nngBnN+yVIx1qBXAEMCDsQJLI2uC4tZU5ZQ33+8Ulmi4m6Imfhv/i+ImQwwGUKMRLw5CLw1q533B9\nQRxiEekwZpYHPAeMAx4DrnLarCUsO4Nj31CjSC498Gv6tyS70T392xofDePplZTFTsMS7j3NzFr4\n+7thiWv9zDvGFcHxMedca/Na40pDj+LjDfyaxKPMbFoL9y8Mjs/ELySR2DKzTOBJ/Dd8LwCXaEfg\nUDV8aF0VahRJwjlnLRX8JE/wG641XC8KM9auwMz6AscG1daWHpcD5JxbCKzBJ75HtvDICcFRP/MY\nM99VeWlQ7RTDjkCJQlwEO9E27G54T7CRBgBmdg1+ZYG5zjkND5CEZGap+NUZZuGX1LtAOzB3LDM7\n1swuNrO0JtfTzexq/DdTFcAjoQQo0k5mdpSZzbImY72CvSsex8/7e8o519rS43JwfhIcfxUMJQXA\nzA7H7yEC8Lu4R5X8jgWG4Ze2fiXkWCLUPRo/twEnAzOBFWY2B/8LcSSwC/h8iLElJTM7i+ZLcmaY\n2duN6rc65/4dx7CS1Wzg/OB8J/CbJv+2N/iWc25nSzfkgI3CzwHZaWYf4P8e6QNMxo/ZrgSudM5t\nCC9EkXYZh/8d32Jmy4Gt+Dl9h+PnhiwGrgovvKT1R/zynJ8GlpnZm/jl22fiJ/T/0Tn3aIjxJauG\nScwPdqb9b5QoxIlzrtLMZgHfxXctnQfsxq8q8H39Y94h+tK869SaXNP47djo2ej8/FafgpuJjp2X\n9vkPcDt+iNEUfJJQjZ9s+CjwK+fcytCiE2m/d4Df4v/OnoDfNbgM+Aj4J/Bb51xFeOElJ+dcvZl9\nBngN+BJwIn559/eB3znnOs2wmGQRDN1tGIb+QJixNGWaZygiIiIiIk1pjoKIiIiIiDSjREFERERE\nRJpRoiAiIiIiIs0oURARERERkWaUKIiIiIiISDNKFEREREREpBklCiIiIiIi0owSBRERERERaUaJ\ngoiIiIiINKNEQUREREREmlGiICIiIiIizShREBGRDmNmx5qZM7MSM3vKzHqHHZOIiLSNEgUREelI\nKcCDQA1wDnBjuOGIiEhbmXMu7BhERCTJmdm5wBPAu865I8OOR0RE9k+JgoiIdDgzyweKgDIgz+kf\nHxGRTk9Dj0REpMM554qB9UAuMDLkcEREpA2UKIiISIczs0nAgKA6JcxYRESkbZQoiIhIhzKzFOBP\nQHpwaXKI4YiISBspURARkY72deBIYGNQV6IgIpIAlCiIiEiHMbMRwK3AVuDy4LISBRGRBJAWdgAi\nIpLUfo+fwHwF8CZQDRxiZlnOucpQIxMRkX1Sj4KIiHQIM7sSOAX4p3PucedcDbAUSAUmhhmbiIjs\nnxIFERGJOTPrD9wJ7AJmN7q1IDhq+JGISCenREFERDrC3UAv4GvOue2Nrs8PjkoUREQ6OSUKIiIS\nU2Z2LvBp4Gnn3ENNbqtHQUQkQZhzLuwYREQkSZhZPrAEP4F5onNuU5P7/YBtwFbn3IAWmhARkU5C\nPQoiIhJLPwUGAtc2TRIAgmFIW4ECM+sb7+BERKTt1KMgIiIiIiLNqEdBRERERESaUaIgIiIiIiLN\nKFEQEREREZFmlCiIiIiIiEgzShRERERERKQZJQoiIiIiItKMEgUREREREWlGiYKIiIiIiDSjREFE\nRERERJpRoiAiIiIiIs0oURARERERkWaUKIiIiIiISDNKFEREREREpBklCiIiIiIi0owSBRERERER\naUaJgoiIiIiINKNEQUREREREmlGiICIiIiIizfw/RsTuWO0DthYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3b5f399320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Nlambdas = 300  # Test Nlambdas values of lambda\n",
    "Nexps = 10000  # Run Nexps MC experiments\n",
    "\n",
    "test_lambdas = np.linspace(0, np.max(lambdas), Nlambdas)\n",
    "\n",
    "def mk_sample(mu):\n",
    "    return cauchy.rvs(mu, size=Nexps)\n",
    "\n",
    "sample_lambdas = lambda_(mk_sample(0.5), mk_sample(0.5), 0.5, 1.5)\n",
    "alphas = np.zeros(Nlambdas)\n",
    "for i, test_lambda in enumerate(test_lambdas):\n",
    "    Npass = np.sum(sample_lambdas < test_lambda)\n",
    "    alphas[i] = Npass / Nexps\n",
    "    \n",
    "sample_lambdas = lambda_(mk_sample(1.5), mk_sample(1.5), 0.5, 1.5)\n",
    "betas = np.zeros(Nlambdas)\n",
    "for i, test_lambda in enumerate(test_lambdas):\n",
    "    Npass = np.sum(sample_lambdas >= test_lambda)\n",
    "    betas[i] = Npass / Nexps\n",
    "\n",
    "\n",
    "plt.plot(test_lambdas, alphas, label=r'$\\alpha$')\n",
    "plt.plot(test_lambdas, betas, label=r'$\\beta$')\n",
    "plt.xlabel(r'$\\lambda$')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Suppose we want to define our rejection region with $\\alpha=0.2$. This corresponds to a rejection region of $\\lambda<0.73$, and a corresponding $\\beta$ value of $0.45$."
   ]
  }
 ],
 "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": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
