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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# V2.0 星冕仪可见光相机仿真"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "%reload_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "from CpicImgSim.camera import CpicVisEmccd\n",
    "import numpy as np\n",
    "\n",
    "from astropy.io import fits\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "emccd = CpicVisEmccd()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 测试读出功能"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 206, 'bias images have a $\\\\sigma$ = 3 DN variance\\ncontroled by `emccd.bias_level_std`')"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "blank = np.zeros(emccd.flat_shape)\n",
    "\n",
    "bias = emccd.readout(blank, 1023, 0)\n",
    "fits.writeto('image_files/_test_bias.fits', bias, overwrite=True)\n",
    "\n",
    "emccd.switch['bias_vp'] = False\n",
    "bias_no_vp = emccd.readout(blank, 1023, 0)\n",
    "fits.writeto('image_files/_test_bias_novp.fits', bias_no_vp, overwrite=True)\n",
    "\n",
    "emccd.switch['bias_hp'] = False\n",
    "bias_no_vphp = emccd.readout(blank, 1023, 0)\n",
    "fits.writeto('image_files/_test_bias_novphp.fits', bias_no_vphp, overwrite=True)\n",
    "\n",
    "emccd.switch['bias_ci'] = False\n",
    "bias_no_vphpci = emccd.readout(blank, 1023, 0)\n",
    "fits.writeto('image_files/_test_bias_novphpci.fits', bias_no_vphpci, overwrite=True)\n",
    "\n",
    "bias_level = []\n",
    "for i in range(50):\n",
    "    imgout = emccd.readout(blank, 1023, 0)\n",
    "    bias_level.append(imgout.mean())\n",
    "\n",
    "plt.plot(bias_level)\n",
    "plt.ylim([192, 208])\n",
    "plt.xlabel('image index')\n",
    "plt.ylabel('average of the bias frame (ADU)')\n",
    "plt.text(0, 206, f\"bias images have a $\\sigma$ = {emccd.bias_level_std} DN variance\\ncontroled by `emccd.bias_level_std`\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1ff189bbd30>"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "emccd = CpicVisEmccd()\n",
    "emset_values = list(range(100, 500, 50))\n",
    "emccd.time_syn(0, initial=True)\n",
    "emccd.switch['bias_vp'] = False\n",
    "emccd.switch['bias_hp'] = False\n",
    "emccd.switch['bias_ci'] = False\n",
    "emccd.bias_level_std = 0\n",
    "emccd.cic = 0.2\n",
    "\n",
    "emccd.switch['bias_shift'] = True\n",
    "bias_average = []\n",
    "for emset in emset_values:\n",
    "    bias = emccd.readout(blank, emset, 0)\n",
    "    avg_bias = np.mean(bias)\n",
    "    bias_average.append(avg_bias)\n",
    "\n",
    "plt.plot(emset_values, bias_average, '.-', label='trun ON `emccd.bias_shift`')\n",
    "\n",
    "emccd.switch['bias_shift'] = False\n",
    "bias_average = []\n",
    "for emset in emset_values:\n",
    "    biases = []\n",
    "    bias = emccd.readout(blank, emset, 0)\n",
    "    avg_bias = np.mean(bias)\n",
    "    bias_average.append(avg_bias)\n",
    "\n",
    "plt.plot(emset_values, bias_average, '.-', label='trun OFF `emccd.bias_shift`')\n",
    "\n",
    "plt.xlabel('EMGAIN set value')\n",
    "plt.ylabel('Average bias')\n",
    "plt.title('Average bias vs EMGAIN set value')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 测试倍增功能"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Flat image ADU')"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "emccd.switch['bias_vp'] = False\n",
    "emccd.switch['bias_hp'] = False\n",
    "emccd.switch['bias_ci'] = False\n",
    "\n",
    "flat_input = np.ones(emccd.flat_shape) * 100\n",
    "emset_values = list(range(1024, 100, -50))\n",
    "flat_values = []\n",
    "for emset in emset_values:\n",
    "    output = emccd.readout(flat_input, emset, 1)\n",
    "    flat_values.append(output.mean())\n",
    "\n",
    "plt.semilogy(emset_values, flat_values, '-x')\n",
    "plt.xlabel('Em set value')\n",
    "plt.ylabel('Flat image ADU')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CIC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199.4295804987726\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x12799963850>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "emccd.switch['bias_vp'] = False\n",
    "emccd.switch['bias_hp'] = False\n",
    "emccd.switch['bias_ci'] = False\n",
    "emccd.switch['bias_shift'] = False\n",
    "\n",
    "blank = np.zeros(emccd.flat_shape)\n",
    "\n",
    "emset = 170\n",
    "img = emccd.readout(blank, emset, 0)\n",
    "out = plt.hist(img.flatten(), \n",
    "    bins = np.arange(200, 350),\n",
    "    log=True,\n",
    "    histtype='step',\n",
    "    density=True,\n",
    "    label=f'emgain={emccd.emgain:.0f},emset={emset}')\n",
    "\n",
    "emset = 200\n",
    "img = emccd.readout(blank, emset, 0)\n",
    "out = plt.hist(img.flatten(), \n",
    "    bins = np.arange(200, 350),\n",
    "    log=True,\n",
    "    histtype='step',\n",
    "    density=True,\n",
    "    label=f'emgain={emccd.emgain:.0f},emset={emset}')\n",
    "\n",
    "emset = 230\n",
    "img = emccd.readout(blank, emset, 0)\n",
    "out = plt.hist(img.flatten(), \n",
    "    bins = np.arange(200, 350),\n",
    "    log=True,\n",
    "    histtype='step',\n",
    "    density=True,\n",
    "    label=f'emgain={emccd.emgain:.0f},emset={emset}')\n",
    "print(emccd.emgain)\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## NOISE factor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 370,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10.000066260870149 100.00011150518404\n"
     ]
    },
    {
     "ename": "UFuncTypeError",
     "evalue": "Cannot cast ufunc 'add' output from dtype('float64') to dtype('int32') with casting rule 'same_kind'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mUFuncTypeError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[1;32m~\\AppData\\Local\\Temp\\ipykernel_30272\\3277449684.py\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m     22\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0memset\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m1024\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m100\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m-\u001b[0m\u001b[1;36m100\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     23\u001b[0m     \u001b[1;31m# print(emset)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 24\u001b[1;33m     \u001b[0mimg\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0memccd\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mreadout\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mflat\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0memset\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     25\u001b[0m     \u001b[0memgains\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0memccd\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0memgain\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     26\u001b[0m     \u001b[0mall_img\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mimg\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32mD:\\workdir\\Project\\cpic-img-sim\\CpicImgSim\\camera.py\u001b[0m in \u001b[0;36mreadout\u001b[1;34m(self, image_focal, em_set, expt_set, image_cosmic_ray)\u001b[0m\n\u001b[0;32m    684\u001b[0m         \u001b[0mbig_cte\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mem_cte\u001b[0m \u001b[1;33m**\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0memreg_num\u001b[0m \u001b[1;33m/\u001b[0m \u001b[0memregister_num\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    685\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 686\u001b[1;33m         \u001b[0mimage\u001b[0m \u001b[1;33m+=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mrandom\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpoisson\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mimage\u001b[0m\u001b[1;33m)\u001b[0m \u001b[1;33m*\u001b[0m \u001b[1;33m(\u001b[0m\u001b[0memgain\u001b[0m \u001b[1;33m-\u001b[0m \u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    687\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    688\u001b[0m         \u001b[1;31m# for _ in range(emregister_num):\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mUFuncTypeError\u001b[0m: Cannot cast ufunc 'add' output from dtype('float64') to dtype('int32') with casting rule 'same_kind'"
     ]
    }
   ],
   "source": [
    "emccd = CpicVisEmccd()\n",
    "emccd.time_syn(0, initial=True)\n",
    "emccd.switch['bias_vp'] = False\n",
    "emccd.switch['bias_hp'] = False\n",
    "emccd.switch['bias_ci'] = False\n",
    "emccd.switch['bias_shift'] = False \n",
    "emccd.switch['badcolumn'] = False\n",
    "emccd.switch['nonlinear'] = False\n",
    "emccd.switch['flat'] = False\n",
    "emccd.bias_level_std = 0\n",
    "emccd.cic = 0.0\n",
    "emccd.em_cte = 1\n",
    "emccd.readout_noise = 0\n",
    "emccd.max_adu = 1e100\n",
    "emccd.emreg_cal_num = 100\n",
    "\n",
    "flat_photon = 100\n",
    "flat = np.zeros(emccd.flat_shape) + flat_photon\n",
    "emgains = []\n",
    "all_img = []\n",
    "\n",
    "for emset in range(1024, 100, -100):\n",
    "    # print(emset)\n",
    "    img = emccd.readout(flat, emset, 1)\n",
    "    emgains.append(emccd.emgain)\n",
    "    all_img.append(img)\n",
    "    # emgains.append(emccd.emgain_fun(emset, -80))\n",
    " \n",
    "    # print(emset, emccd.emgain)\n",
    "all_img = np.array(all_img)\n",
    "fits.writeto('allimg.fits', np.array(all_img), overwrite=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 371,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "all_img = fits.getdata('allimg.fits', lazy_load=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 372,
   "metadata": {},
   "outputs": [],
   "source": [
    "emgains = np.array(emgains)\n",
    "\n",
    "all_img_ph = (all_img[:, 100:-100, 100:-100] - emccd.bias_level) * emccd.ph_per_adu * 1.0\n",
    "for i, em in enumerate(emgains):\n",
    "    all_img_ph[i, :, :] = all_img_ph[i, :, :] / em\n",
    "noise = all_img_ph.std(axis=(1, 2))\n",
    "mean = all_img_ph.mean(axis=(1, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 364,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([33.60574038, 34.21298461, 34.93249602, 35.3217174 , 35.19854437,\n",
       "        34.28232075, 33.04651874, 32.07992281, 31.68921613, 31.62831879]),\n",
       " array([ 999.92559802, 1000.05289806, 1000.03528245,  999.98571607,\n",
       "        1000.01594887,  999.96571835, 1000.01703224, 1000.00263845,\n",
       "        1000.04036409, 1000.01030035]))"
      ]
     },
     "execution_count": 364,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "noise, mean"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 369,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1ff1a1002b0>"
      ]
     },
     "execution_count": 369,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(emgains, noise, label='measure')\n",
    "F2 = 1 / emgains + 2 * (emgains - 1) * emgains ** (-(604 + 1) / 604)\n",
    "plt.semilogx(emgains, np.sqrt(mean * F2), label='theoretical')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 357,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = np.zeros(100000) + 10000\n",
    "\n",
    "Ci = 0\n",
    "N = 604\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 337,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100000.0 100000.0 100000.0 100000.0\n",
      "928092.2498427965 60400000.0 60400000.0 928092.2498427966\n",
      "4299645.697049777\n",
      "13257514.596016003\n",
      "30607707.474308204\n",
      "56437303.49475673\n",
      "86575704.63943209\n",
      "113645799.00501536\n",
      "130314258.72184795\n",
      "132601945.40838607\n",
      "121233060.46245432\n",
      "100593295.48602746\n",
      "76382996.34457779\n",
      "53447728.50342154\n",
      "34669126.95609617\n",
      "20953562.1872998\n",
      "11852429.613183215\n",
      "6299266.714736975\n",
      "3156529.1230267915\n",
      "1495918.8099283434\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "test = np.zeros(100000) + 100000\n",
    "ps = np.random.poisson(test)\n",
    "plt.hist(ps, bins=100, histtype='step')\n",
    "\n",
    "emgain = 10000\n",
    "\n",
    "gm = np.random.gamma(test, emgain) / emgain\n",
    "plt.hist(gm, bins=100, histtype='step')\n",
    "\n",
    "n = 100\n",
    "pEM = np.exp(np.log(emgain)/n) - 1\n",
    "dtest = test.astype(int)\n",
    "for i in range(n):\n",
    "    dtest += np.random.binomial(dtest, pEM)\n",
    "dtest = dtest / emgain\n",
    "x = plt.hist(dtest, bins=100, histtype='step')\n",
    "\n",
    "N = 604\n",
    "pEM = np.exp(np.log(emgain)/N) - 1\n",
    "from math import comb\n",
    "\n",
    "stest = test.astype(np.int32) * 0\n",
    "test_int = test.astype(np.int32)\n",
    "\n",
    "for k in range(20):\n",
    "    if k < 2:\n",
    "        xi = comb(N, k) * test_int\n",
    "        print(xi.mean()*pEM**k, comb(N,k) * test_int.mean(), xi.mean(), comb(N, k) * pEM**k * test_int.mean())\n",
    "        ci = np.random.binomial(xi, pEM**k)\n",
    "    else:\n",
    "        print(comb(N, k) * pEM**k * test_int.mean())\n",
    "        ci = np.random.poisson(comb(N, k) * pEM**k * test_int)\n",
    "    stest += ci \n",
    "x = plt.hist(stest / emgain, bins=100, histtype='step')\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 342,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([1.000e+00, 7.000e+00, 8.000e+00, 2.200e+01, 3.200e+01, 4.500e+01,\n",
       "        1.180e+02, 1.480e+02, 2.290e+02, 4.490e+02, 5.640e+02, 7.950e+02,\n",
       "        1.324e+03, 1.467e+03, 1.878e+03, 2.930e+03, 3.038e+03, 3.648e+03,\n",
       "        5.239e+03, 4.947e+03, 5.567e+03, 6.963e+03, 6.232e+03, 6.454e+03,\n",
       "        6.275e+03, 7.300e+03, 5.561e+03, 5.178e+03, 5.405e+03, 3.762e+03,\n",
       "        3.317e+03, 3.157e+03, 2.082e+03, 1.552e+03, 1.414e+03, 8.850e+02,\n",
       "        6.320e+02, 5.460e+02, 2.760e+02, 2.020e+02, 1.270e+02, 8.300e+01,\n",
       "        6.200e+01, 4.100e+01, 1.200e+01, 8.000e+00, 9.000e+00, 3.000e+00,\n",
       "        2.000e+00, 4.000e+00]),\n",
       " array([ 874.  ,  879.32,  884.64,  889.96,  895.28,  900.6 ,  905.92,\n",
       "         911.24,  916.56,  921.88,  927.2 ,  932.52,  937.84,  943.16,\n",
       "         948.48,  953.8 ,  959.12,  964.44,  969.76,  975.08,  980.4 ,\n",
       "         985.72,  991.04,  996.36, 1001.68, 1007.  , 1012.32, 1017.64,\n",
       "        1022.96, 1028.28, 1033.6 , 1038.92, 1044.24, 1049.56, 1054.88,\n",
       "        1060.2 , 1065.52, 1070.84, 1076.16, 1081.48, 1086.8 , 1092.12,\n",
       "        1097.44, 1102.76, 1108.08, 1113.4 , 1118.72, 1124.04, 1129.36,\n",
       "        1134.68, 1140.  ]),\n",
       " [<matplotlib.patches.Polygon at 0x1ff1b158730>])"
      ]
     },
     "execution_count": 342,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "test = np.zeros(100000, dtype=int) + 1000000000\n",
    "pEM = 0.000001\n",
    "bi = np.random.binomial(test, pEM)\n",
    "plt.hist(bi, bins=50, histtype='step')\n",
    "\n",
    "ps = np.random.poisson(test * pEM)\n",
    "plt.hist(ps, bins=50, histtype='step')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 346,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([6.2000e+01, 1.9810e+03, 1.3619e+04, 3.1270e+04, 2.5244e+04,\n",
       "        2.0126e+04, 6.4080e+03, 1.1510e+03, 1.3500e+02, 4.0000e+00]),\n",
       " array([ 4. ,  7.8, 11.6, 15.4, 19.2, 23. , 26.8, 30.6, 34.4, 38.2, 42. ]),\n",
       " [<matplotlib.patches.Polygon at 0x1ff1b99e280>])"
      ]
     },
     "execution_count": 346,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a1 = np.zeros(100000, dtype=int) + 10000\n",
    "pEM = 0.001\n",
    "d_a1 = np.random.binomial(a1 + a1, pEM)\n",
    "plt.hist(d_a1, bins=10, histtype='step')\n",
    "\n",
    "d_a2 = np.random.binomial(a1, pEM) + np.random.binomial(a1, pEM)\n",
    "plt.hist(d_a2, bins=10, histtype='step')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 351,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([3.0000e+00, 6.0000e+00, 2.3000e+01, 1.2900e+02, 4.1300e+02,\n",
       "        1.7080e+03, 3.5310e+03, 6.6380e+03, 1.3570e+04, 1.4655e+04,\n",
       "        1.5910e+04, 1.7933e+04, 1.0932e+04, 7.1130e+03, 4.6700e+03,\n",
       "        1.6460e+03, 7.1200e+02, 3.1900e+02, 6.7000e+01, 2.2000e+01]),\n",
       " array([ 54.  ,  58.35,  62.7 ,  67.05,  71.4 ,  75.75,  80.1 ,  84.45,\n",
       "         88.8 ,  93.15,  97.5 , 101.85, 106.2 , 110.55, 114.9 , 119.25,\n",
       "        123.6 , 127.95, 132.3 , 136.65, 141.  ]),\n",
       " [<matplotlib.patches.Polygon at 0x1ff1b74d8e0>])"
      ]
     },
     "execution_count": 351,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a1 = np.zeros(100000, dtype=int) + 1000000\n",
    "pEM = 0.01\n",
    "d_a1 = np.random.binomial(a1, pEM**2)\n",
    "plt.hist(d_a1, bins=20, histtype='step')\n",
    "\n",
    "d_a2 = np.random.binomial(np.random.binomial(a1, pEM), pEM)\n",
    "plt.hist(d_a2, bins=20, histtype='step')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 241,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "39999.98017907021\n"
     ]
    },
    {
     "data": {
      "image/png": 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zjx1wVid1jdgzAQAwnhFiLOlTiXFDzIg9EgAA4xohxpJo3OokKjEAAHiLEGNJ/Ookjh0AAMBbhBhLEh07wMReAAC8QYixxJkT46xKcoaV2OwOAABvEGIscYaN/D6OHQAAYDgQYiyJX53kHjtAiAEAwBOEGEuoxAAAMLwIMZY4q5OoxAAAMDwIMZYYE7s6iUoMAADeIsRYEn/sgLM6KcrqJAAAPEGIsSR+x960y6dYR6OEGAAAvECIsaTP6iQqMQAAeIoQY0n86qQAxw4AAOApQowlXXGrkzg7CQAAbxFiLOk5dqD7ayoxAAB4ixBjiTucRCUGAIBhQYixpCtudRKVGAAAvEWIsSQatzrJz+okAAA8RYixJNrV/Wf86iR27AUAwBuEGEtM/D4xl88fYLM7AAC8QYixJBq3OonN7gAA8BYhxpL41UlM7AUAwFuEGEviVyexxBoAAG8RYiyJX51EJQYAAG8RYizpclYnsdkdAADDghBjCccOAAAwvAgxlrjDST42uwMAYDgQYiwwxsjJKvGrk9jsDgAAbxBiLOg9ZORUYpwJvl2EGAAAPJFUiNm+fbtmz56tnJwc5eTkqKysTL/61a/c+8YYbdq0Sfn5+crMzNTChQt1/PjxmPdoa2vTmjVrNHXqVGVlZWnFihU6c+ZMTJumpiZVVFQoFAopFAqpoqJC58+fH/qn9FjvISOnEpNGJQYAAE8lFWKmTZumLVu26I033tAbb7yhr3/96/rLv/xLN6g8/PDD2rp1q7Zt26YjR44oHA5ryZIlamlpcd+jsrJSu3fvVnV1tfbt26cLFy6ovLxc0WjUbbNy5UrV19erpqZGNTU1qq+vV0VFhaWPbF/vaS9pfioxAAAMC5OiSZMmmSeffNJ0dXWZcDhstmzZ4t67dOmSCYVC5rHHHjPGGHP+/HmTnp5uqqur3TYffPCB8fv9pqamxhhjzNtvv20kmYMHD7ptDhw4YCSZ3/3ud4N+rkgkYiSZSCSS6kcc0IVLHWb6939hpn//F+ZiW4cxxpgD/+9jM/37vzBf/1+vev7zAQAYL5L5/T3kOTHRaFTV1dW6ePGiysrKdPLkSTU0NGjp0qVum2AwqAULFmj//v2SpLq6OnV0dMS0yc/PV3FxsdvmwIEDCoVCKi0tddvMmzdPoVDIbXMlbW1tam5ujnkNl5jhpPg5MRRiAADwRNIh5ujRo7rqqqsUDAa1evVq7d69W9dff70aGhokSXl5eTHt8/Ly3HsNDQ3KyMjQpEmT+m2Tm5vb5+fm5ua6ba6kqqrKnUMTCoVUUFCQ7Ecbst5DRvHDSZ3OLngAAMCqpEPMjBkzVF9fr4MHD+p73/ue7rjjDr399tvufd/lSoTDGNPnWrz4NldqP9D7bNy4UZFIxH2dPn16sB8pZVdcneRz5sQM22MAAPCZknSIycjI0Be+8AXNnTtXVVVVmjNnjn784x8rHA5LUp9qSWNjo1udCYfDam9vV1NTU79tzp071+fnfvTRR32qPL0Fg0F31ZTzGi79r04ixQAA4IWU94kxxqitrU2FhYUKh8Oqra1177W3t2vv3r2aP3++JKmkpETp6ekxbc6ePatjx465bcrKyhSJRHT48GG3zaFDhxSJRNw2o4270V2vQlGae+zACDwQAACfAYFkGj/wwANavny5CgoK1NLSourqar322muqqamRz+dTZWWlNm/erKKiIhUVFWnz5s2aOHGiVq5cKUkKhUJatWqV1q9frylTpmjy5MnasGGDZs2apcWLF0uSZs6cqWXLlunOO+/U448/Lkm66667VF5erhkzZlj++HY4w0lpvVJMz9lJpBgAALyQVIg5d+6cKioqdPbsWYVCIc2ePVs1NTVasmSJJOn+++9Xa2ur7r77bjU1Nam0tFR79uxRdna2+x6PPPKIAoGAbrvtNrW2tmrRokXauXOn0tLS3Da7du3S2rVr3VVMK1as0LZt22x8Xk84Icbfa84Op1gDAOAtnzHj84TC5uZmhUIhRSIRz+fHvP/JRS34n69pYkaa3v7RsphrWRlpOn75GgAA6F8yv785O8kCdzipdyXGx7EDAAB4iRBjQVfcCdaSFEhzNrsjxAAA4AVCjAVOUIlZnUQlBgAATxFiLLjS6iTn78ZwCCQAAF4gxFhwpdVJAX9P10YZUgIAwDpCjAXOcFLvSkyvDMMyawAAPECIsWDASgwhBgAA6wgxFvSsTuq5FlOJYTgJAADrCDEWuMNJiSoxUUIMAAC2EWIscIeTes+J6bXcmkoMAAD2EWIs6LrCjr0+n6/XSdaEGAAAbCPEWBC9wuokqSfUEGIAALCPEGOBO7HXFxdiqMQAAOAZQowFXe6cmNjrhBgAALxDiLHgSqdYSz0hhvOTAACwjxBjgTMnxh8/J8bPSdYAAHiFEGPBlVYnSb0qMewTAwCAdYQYCxJWYnxUYgAA8AohxoKe1Umx15kTAwCAdwgxFrjDSQnmxES7uob9mQAAGO8IMRZc6RRrSQq4IWbYHwkAgHGPEGNBoh17/e5wEikGAADbCDEWJFqd5FRiyDAAANhHiLHAndgbX4nxUYkBAMArhBgL3CXWcauTAmkssQYAwCuEGAsSrU5yKzFsdgcAgHWEGAsGWp1EJQYAAPsIMRZ0Dbg6iRADAIBthBgLEp1i3bNPDCEGAADbCDEWOBnFl+AASEIMAAD2EWIs6BlOir1OiAEAwDuEGAuiCVYnMZwEAIB3CDEWJFqd5HwdZXUSAADWEWIsSLQ6ydnsjkoMAAD2EWIs6DIDVGIIMQAAWEeIsSB6+WikRJvdEWIAALCPEGNBotVJfkIMAACeIcRY4E7sTbA6iR17AQCwjxBjQaIde52Jvl2EGAAArCPEWJBodVIalRgAADxDiLHACTF9jh1gdRIAAJ4hxFjgrE7qO5zU3b1sdgcAgH2EGAu6uhKdndT9J5UYAADsI8RY4FRa4lcnuZUYQgwAANYRYizoSrg6qftPQgwAAPYRYixIvDqJSgwAAF4hxFgQvZxREq1OYok1AAD2EWIs6BlOir3unGLNZncAANhHiLHA3bHXf+VTrKnEAABgHyHGgkSrk5yzk7rYJwYAAOsIMRYkWp3k59gBAAA8Q4ixwKm0+H0JKjGEGAAArCPEWOCsToofTuqpxHQN9yMBADDuEWIsSHTsgFOJiZJhAACwjhBjgbM6KX44qecUa1IMAAC2EWIsiCbcsfdyiGFKDAAA1iUVYqqqqvTlL39Z2dnZys3N1Te+8Q2dOHEipo0xRps2bVJ+fr4yMzO1cOFCHT9+PKZNW1ub1qxZo6lTpyorK0srVqzQmTNnYto0NTWpoqJCoVBIoVBIFRUVOn/+/NA+pceMSXR2EpUYAAC8klSI2bt3r+655x4dPHhQtbW16uzs1NKlS3Xx4kW3zcMPP6ytW7dq27ZtOnLkiMLhsJYsWaKWlha3TWVlpXbv3q3q6mrt27dPFy5cUHl5uaLRqNtm5cqVqq+vV01NjWpqalRfX6+KigoLH9k+Zzipz7EDboihFAMAgG2BZBrX1NTEfP30008rNzdXdXV1+upXvypjjB599FE9+OCDuvXWWyVJzzzzjPLy8vT888/ru9/9riKRiJ566in97Gc/0+LFiyVJzz33nAoKCvTKK6/opptu0jvvvKOamhodPHhQpaWlkqQdO3aorKxMJ06c0IwZM2x8dmuc4aL44aQAIQYAAM+kNCcmEolIkiZPnixJOnnypBoaGrR06VK3TTAY1IIFC7R//35JUl1dnTo6OmLa5Ofnq7i42G1z4MABhUIhN8BI0rx58xQKhdw2o0mi1UlsdgcAgHeSqsT0ZozRunXrdOONN6q4uFiS1NDQIEnKy8uLaZuXl6f333/fbZORkaFJkyb1aeN8f0NDg3Jzc/v8zNzcXLdNvLa2NrW1tblfNzc3D/GTJS/R6iQ2uwMAwDtDrsTce++9euutt/TP//zPfe7Fzw0xxvS5Fi++zZXa9/c+VVVV7iTgUCikgoKCwXwMK5wdewP+2O6kEgMAgHeGFGLWrFmjl156Sa+++qqmTZvmXg+Hw5LUp1rS2NjoVmfC4bDa29vV1NTUb5tz5871+bkfffRRnyqPY+PGjYpEIu7r9OnTQ/loQ+KEFH/Cze4IMQAA2JZUiDHG6N5779WLL76oX//61yosLIy5X1hYqHA4rNraWvdae3u79u7dq/nz50uSSkpKlJ6eHtPm7NmzOnbsmNumrKxMkUhEhw8fdtscOnRIkUjEbRMvGAwqJycn5jVcEh0A2bPZHSEGAADbkpoTc8899+j555/Xv/7rvyo7O9utuIRCIWVmZsrn86myslKbN29WUVGRioqKtHnzZk2cOFErV650265atUrr16/XlClTNHnyZG3YsEGzZs1yVyvNnDlTy5Yt05133qnHH39cknTXXXepvLx81K1Mkgaz2R0hBgAA25IKMdu3b5ckLVy4MOb6008/re985zuSpPvvv1+tra26++671dTUpNLSUu3Zs0fZ2dlu+0ceeUSBQEC33XabWltbtWjRIu3cuVNpaWlum127dmnt2rXuKqYVK1Zo27ZtQ/mMnot2DRBiqMQAAGCdz5jxWSZobm5WKBRSJBLxfGiprOr/6mzkkl669yuaPe2P3OtvnmrSf/npfk2blKl93/+6p88AAMB4kMzvb85OsiDhAZBUYgAA8AwhxoKugebEEGIAALCOEGOBE1IChBgAAIYNIcaCnn1iEpydND6nHQEAMKIIMRYk2ifGmSMTjRJiAACwjRBjQaJ9YpxjCKjEAABgHyHGgq6u7j/jQ4xzDAFnJwEAYB8hxoKBKjGcYg0AgH2EmBQZYxLuE0MlBgAA7xBiUtQ7nySqxEhUYwAAsI0Qk6Lee8Ak2uxOkjqciTMAAMAKQkyKukziENN78zsyDAAAdhFiUtR7vkv8PjFUYgAA8A4hJkW9h5P8cb2ZntZzoZMN7wAAsIoQk6LeE3YDcSkmze+TU5zppBIDAIBVhJgU9d6NN25KjKSeeTFUYgAAsIsQk6KePWIkn69vinGqM4QYAADsIsSkyAkx8SuTHIG0y5UYhpMAALCKEJOiAUOMM5zEZncAAFhFiEmRs09M/PJqR+DyCqWOKJUYAABsIsSkyJ0Tk6ASk375epRKDAAAVhFiUjTQcFLa5TkxHUzsBQDAKkJMipwl1oGElRhndRLDSQAA2ESISVHPEuv+VycxnAQAgF2EmBQ5K6cTDiddrsR0EGIAALCKEJMiZ/+XRJWYdGefGIaTAACwihCTIneJNfvEAAAwrAgxKXIKLIkm9jr7xHDsAAAAdhFiUjTQPjE9lRiGkwAAsIkQk6LB7thLJQYAALsIMSnqHOSOvVRiAACwixCToq6u/je7cyb8smMvAAB2EWJSNODZSZeHk9jsDgAAuwgxKYq6c2KufD/gnp3EcBIAADYRYlI04AGQ7BMDAIAnCDEpGijEOAdAMpwEAIBdhJgUDbhjL8NJAAB4ghCTogFPsXaGk1idBACAVYSYFHUOMJzkbnbHcBIAAFYRYlI00D4xAU6xBgDAE4SYFDlLrAccTqISAwCAVYSYFHUNNJzkd4aTqMQAAGATISZFA+/Yy8ReAAC8QIhJUeeAZycxsRcAAC8QYlLk7hOTYE5MOhN7AQDwBCEmRU42STSc5FRoOqjEAABgFSEmRQNVYtKcU6yZEwMAgFWEmBQ5E3bTEhxjne4usWY4CQAAmwgxKYoOUIlxduztoBIDAIBVhJgUDbxPTPd1TrEGAMAuQkyKBtyxl1OsAQDwBCEmRU6FJZBgTkyAfWIAAPAEISZFzsTeRJvdZQSoxAAA4AVCTIqcVUeJQkz65Ym97Z2EGAAAbCLEpMhZdeSsQoqX4a5OIsQAAGATISZFUacSk2ifmMDlSgwhBgAAqwgxKRpwToxTielkYi8AADYlHWJef/113XLLLcrPz5fP59PPf/7zmPvGGG3atEn5+fnKzMzUwoULdfz48Zg2bW1tWrNmjaZOnaqsrCytWLFCZ86ciWnT1NSkiooKhUIhhUIhVVRU6Pz580l/QK91uKdYJxhOohIDAIAnkg4xFy9e1Jw5c7Rt27Yr3n/44Ye1detWbdu2TUeOHFE4HNaSJUvU0tLitqmsrNTu3btVXV2tffv26cKFCyovL1c0GnXbrFy5UvX19aqpqVFNTY3q6+tVUVExhI/oLWc4KT3RcJJbiSHEAABgUyDZb1i+fLmWL19+xXvGGD366KN68MEHdeutt0qSnnnmGeXl5en555/Xd7/7XUUiET311FP62c9+psWLF0uSnnvuORUUFOiVV17RTTfdpHfeeUc1NTU6ePCgSktLJUk7duxQWVmZTpw4oRkzZgz181rnTOxNG6AS00YlBgAAq6zOiTl58qQaGhq0dOlS91owGNSCBQu0f/9+SVJdXZ06Ojpi2uTn56u4uNhtc+DAAYVCITfASNK8efMUCoXcNvHa2trU3Nwc8xoOndEBJvb22rHXGObFAABgi9UQ09DQIEnKy8uLuZ6Xl+fea2hoUEZGhiZNmtRvm9zc3D7vn5ub67aJV1VV5c6fCYVCKigoSPnzDIazE2+i4aRgWpokyRjOTwIAwCZPVif54s4RMsb0uRYvvs2V2vf3Phs3blQkEnFfp0+fHsKTJ69zgOGk9EDP8zK5FwAAe6yGmHA4LEl9qiWNjY1udSYcDqu9vV1NTU39tjl37lyf9//oo4/6VHkcwWBQOTk5Ma/h4OzYmz7Ajr0Sy6wBALDJaogpLCxUOBxWbW2te629vV179+7V/PnzJUklJSVKT0+PaXP27FkdO3bMbVNWVqZIJKLDhw+7bQ4dOqRIJOK2GS0G2rE34PfJKR619Vp9BQAAUpP06qQLFy7o97//vfv1yZMnVV9fr8mTJ+vaa69VZWWlNm/erKKiIhUVFWnz5s2aOHGiVq5cKUkKhUJatWqV1q9frylTpmjy5MnasGGDZs2a5a5WmjlzppYtW6Y777xTjz/+uCTprrvuUnl5+ahamST1OsU6QSXG5/MpPc2v9s4uN/AAAIDUJR1i3njjDX3ta19zv163bp0k6Y477tDOnTt1//33q7W1VXfffbeamppUWlqqPXv2KDs72/2eRx55RIFAQLfddptaW1u1aNEi7dy5U2mXJ8FK0q5du7R27Vp3FdOKFSsS7k0zkjoGWJ0kSUEnxLBXDAAA1vjMOF3329zcrFAopEgk4un8mMVb9+r3jRf0z3fOU9l1U67Y5s/+R63+cLFde/7bV/UnedlXbAMAAJL7/c3ZSSlyh5P6qcQ45ye1U4kBAMAaQkyK3OGkBHNipJ5l1iyxBgDAHkJMipx9YtITrE7qfY85MQAA2EOISZGzY29aP5UYdziJSgwAANYQYlLUOcAp1lLPIZAdhBgAAKwhxKTIGU4KJDh2QOo9sXdcLgQDAGBEEGJS5FRi+htOSmc4CQAA6wgxKRrUxN4AE3sBALCNEJMCY4w7sXdQ+8RQiQEAwBpCTAqcje6k/veJybi8TwwTewEAsIcQk4LO3iGmn+EkduwFAMA+QkwKeldW+t2xl+EkAACsI8SkoPdwUn8Te919YlhiDQCANYSYFHREe0JJP4UYN+C0dUa9fiQAAD4zCDEp6L1br8+XOMVkZqRJktqYEwMAgDWEmBQMZrdeSZoQ6A4xrR1UYgAAsIUQkwJ3j5j+xpIkZWZ0d/OldkIMAAC2EGJS0Hl5tVF/G91JUmY6lRgAAGwjxKTAmdjb3x4xkhS8HGIuEWIAALCGEJOC6GCHk6jEAABgHSEmBR1dyQ4nsToJAABbCDEpcE+wHmh10uUQ00YlBgAAawgxKXD2iUkb5OokhpMAALCHEJOCzsFO7HX2iWGJNQAA1hBiUuAcAJk+0JyYDFYnAQBgGyEmBc4xAs6OvIlkukusmdgLAIAthJgUOJWVYPrgJva2R7tiTr4GAABDR4hJgVOJCQ6yEiMxpAQAgC2EmBQ4gWTCAJWYYKDnPiuUAACwgxCTgsFWYvx+nxtkWKEEAIAdhJgUDLYSI/WsUGrrJMQAAGADISYFg63ESL2OHmhnhRIAADYQYlKQTCVmAodAAgBgFSEmBUOpxHza3unpMwEA8FlBiElBMpWY7AkBSVLLJUIMAAA2EGJS0FOJGbgbczLTJUnNlzo8fSYAAD4rCDEpaHN37B14OIlKDAAAdhFiUuCenTSI4aScCZcrMa1UYgAAsIEQkwL37KRBTOzNoRIDAIBVhJgUJFWJYU4MAABWEWJSkEwlhjkxAADYRYhJAXNiAAAYOYSYFCRXiWE4CQAAmwgxKUhuTgzDSQAA2ESISUFyq5MYTgIAwCZCzBAZY3p27E1iddLF9qg6opxkDQBAqggxQ9Qe7ZIx3X8fTCXmjzLTFfD7JEkfX2jz8tEAAPhMIMQMUXNr99wWn0+6KhgYsL3f71NudlCS1BC55OmzAQDwWUCIGaKmT9slSaHMdKVdrrAMJDdngiTpXDMhBgCAVBFihqjpYneImTwxY9DfE3ZDDMNJAACkihAzRE4l5o8mpg/6e8Kh7hDTQCUGAICUEWKGqOnT7qXSk7MGX4nJcyoxzIkBACBlhJgh6qnEJDGcFOqe2HuWEAMAQMoIMUPkzolJohJTOPUqSdJ/nGuRcdZnAwCAISHEDJEznJTMnJgvhrOV5vfpk4vtTO4FACBFhJghGsrqpAnpafrC1d3VmOMfRjx5LgAAPitGfYj56U9/qsLCQk2YMEElJSX6zW9+M9KPJElqbOmupExKYjhJkr6UnyNJqnu/yfozAQDwWTKqQ8y//Mu/qLKyUg8++KDefPNN/cVf/IWWL1+uU6dOjehzfdreqXfONkuSrr8mJ6nvXTDjaknSv9Z/qK4u5sUAADBUozrEbN26VatWrdLf/d3faebMmXr00UdVUFCg7du3j+hz1Z86r84uo2tCEzRtUmZS33vTl8LKDgb0wflW/Z83Tnv0hAAAjH8DH/ozQtrb21VXV6cf/OAHMdeXLl2q/fv392nf1tamtraeybLNzc2ePFfLpQ79rz0nJElf/txk+XyDO3LAMSE9TasXXqf/+fIJ/eDFo9r95geaNmmiMjO686RPPvl8kk9y3zvJHwEAwLC47uqr9Nfzpo/Yzx+1Iebjjz9WNBpVXl5ezPW8vDw1NDT0aV9VVaUf/vCHnj/Xvxw5rd+eOq/M9DT91698bkjv8b0F1+mD8616/tApHTr5Bx06+Qe7DwkAwDD46p9cTYjpT3ylwxhzxerHxo0btW7dOvfr5uZmFRQUWH+ev/1KoU794VP9VUmBZk0LDek9/H6fNv+XWfq7Gwv1xvtN+uRCuy51RGUkyRg5M2WMkXq+AgBgdPnclKwR/fmjNsRMnTpVaWlpfaoujY2NfaozkhQMBhUMBj1/Lr/fpx/9ZbGV9/r81Vfp85eXXAMAgOSM2om9GRkZKikpUW1tbcz12tpazZ8/f4SeCgAAjBajthIjSevWrVNFRYXmzp2rsrIyPfHEEzp16pRWr1490o8GAABG2KgOMd/85jf1ySef6Ec/+pHOnj2r4uJi/fKXv9T06SM3iQgAAIwOPjNOTyJsbm5WKBRSJBJRTk5yG9IBAICRkczv71E7JwYAAKA/hBgAADAmEWIAAMCYRIgBAABjEiEGAACMSYQYAAAwJhFiAADAmESIAQAAYxIhBgAAjEmj+tiBVDgbETc3N4/wkwAAgMFyfm8P5kCBcRtiWlpaJEkFBQUj/CQAACBZLS0tCoVC/bYZt2cndXV16cMPP1R2drZ8Pp/V925ublZBQYFOnz7NuUwDoK8Gh34aPPpq8OirwaOvBmc4+skYo5aWFuXn58vv73/Wy7itxPj9fk2bNs3Tn5GTk8M/9kGirwaHfho8+mrw6KvBo68Gx+t+GqgC42BiLwAAGJMIMQAAYEwixAxBMBjUQw89pGAwONKPMurRV4NDPw0efTV49NXg0VeDM9r6adxO7AUAAOMblRgAADAmEWIAAMCYRIgBAABjEiEGAACMSYSYJP30pz9VYWGhJkyYoJKSEv3mN78Z6Ucadq+//rpuueUW5efny+fz6ec//3nMfWOMNm3apPz8fGVmZmrhwoU6fvx4TJu2tjatWbNGU6dOVVZWllasWKEzZ84M46fwXlVVlb785S8rOztbubm5+sY3vqETJ07EtKGvum3fvl2zZ892N9AqKyvTr371K/c+/XRlVVVV8vl8qqysdK/RV902bdokn88X8wqHw+59+inWBx98oL/+67/WlClTNHHiRP3pn/6p6urq3Pujtr8MBq26utqkp6ebHTt2mLffftvcd999Jisry7z//vsj/WjD6pe//KV58MEHzQsvvGAkmd27d8fc37Jli8nOzjYvvPCCOXr0qPnmN79prrnmGtPc3Oy2Wb16tfnjP/5jU1tba37729+ar33ta2bOnDmms7NzmD+Nd2666Sbz9NNPm2PHjpn6+npz8803m2uvvdZcuHDBbUNfdXvppZfMv//7v5sTJ06YEydOmAceeMCkp6ebY8eOGWPopys5fPiw+dznPmdmz55t7rvvPvc6fdXtoYceMl/60pfM2bNn3VdjY6N7n37q8Yc//MFMnz7dfOc73zGHDh0yJ0+eNK+88or5/e9/77YZrf1FiEnCn//5n5vVq1fHXPviF79ofvCDH4zQE428+BDT1dVlwuGw2bJli3vt0qVLJhQKmccee8wYY8z58+dNenq6qa6udtt88MEHxu/3m5qammF79uHW2NhoJJm9e/caY+irgUyaNMk8+eST9NMVtLS0mKKiIlNbW2sWLFjghhj6qsdDDz1k5syZc8V79FOs73//++bGG29MeH809xfDSYPU3t6uuro6LV26NOb60qVLtX///hF6qtHn5MmTamhoiOmnYDCoBQsWuP1UV1enjo6OmDb5+fkqLi4e130ZiUQkSZMnT5ZEXyUSjUZVXV2tixcvqqysjH66gnvuuUc333yzFi9eHHOdvor17rvvKj8/X4WFhfrWt76l9957TxL9FO+ll17S3Llz9Vd/9VfKzc3VDTfcoB07drj3R3N/EWIG6eOPP1Y0GlVeXl7M9by8PDU0NIzQU40+Tl/0108NDQ3KyMjQpEmTErYZb4wxWrdunW688UYVFxdLoq/iHT16VFdddZWCwaBWr16t3bt36/rrr6ef4lRXV6uurk5VVVV97tFXPUpLS/Xss8/q5Zdf1o4dO9TQ0KD58+frk08+oZ/ivPfee9q+fbuKior08ssva/Xq1Vq7dq2effZZSaP739W4PcXaKz6fL+ZrY0yfaxhaP43nvrz33nv11ltvad++fX3u0VfdZsyYofr6ep0/f14vvPCC7rjjDu3du9e9Tz9Jp0+f1n333ac9e/ZowoQJCdvRV9Ly5cvdv8+aNUtlZWW67rrr9Mwzz2jevHmS6CdHV1eX5s6dq82bN0uSbrjhBh0/flzbt2/X3/zN37jtRmN/UYkZpKlTpyotLa1PomxsbOyTTj/LnNn//fVTOBxWe3u7mpqaErYZT9asWaOXXnpJr776qqZNm+Zep69iZWRk6Atf+ILmzp2rqqoqzZkzRz/+8Y/pp17q6urU2NiokpISBQIBBQIB7d27Vz/5yU8UCATcz0pf9ZWVlaVZs2bp3Xff5d9UnGuuuUbXX399zLWZM2fq1KlTkkb3/6sIMYOUkZGhkpIS1dbWxlyvra3V/PnzR+ipRp/CwkKFw+GYfmpvb9fevXvdfiopKVF6enpMm7Nnz+rYsWPjqi+NMbr33nv14osv6te//rUKCwtj7tNX/TPGqK2tjX7qZdGiRTp69Kjq6+vd19y5c3X77bervr5en//85+mrBNra2vTOO+/ommuu4d9UnK985St9tn/4j//4D02fPl3SKP9/lWdThschZ4n1U089Zd5++21TWVlpsrKyzH/+53+O9KMNq5aWFvPmm2+aN99800gyW7duNW+++aa71HzLli0mFAqZF1980Rw9etR8+9vfvuJSvGnTpplXXnnF/Pa3vzVf//rXx93Sxe9973smFAqZ1157LWaZ56effuq2oa+6bdy40bz++uvm5MmT5q233jIPPPCA8fv9Zs+ePcYY+qk/vVcnGUNfOdavX29ee+01895775mDBw+a8vJyk52d7f7/mn7qcfjwYRMIBMw//MM/mHfffdfs2rXLTJw40Tz33HNum9HaX4SYJP3TP/2TmT59usnIyDB/9md/5i6X/Sx59dVXjaQ+rzvuuMMY070c76GHHjLhcNgEg0Hz1a9+1Rw9ejTmPVpbW829995rJk+ebDIzM015ebk5derUCHwa71ypjySZp59+2m1DX3X727/9W/e/q6uvvtosWrTIDTDG0E/9iQ8x9FU3Zx+T9PR0k5+fb2699VZz/Phx9z79FOvf/u3fTHFxsQkGg+aLX/yieeKJJ2Luj9b+8hljjHd1HgAAAG8wJwYAAIxJhBgAADAmEWIAAMCYRIgBAABjEiEGAACMSYQYAAAwJhFiAADAmESIAQAAYxIhBgAAjEmEGAAAMCYRYgAAwJhEiAEAAGPS/wc7qP7Wr8QNxgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 604\n",
    "emgain = 40000\n",
    "p = np.exp(np.log(emgain)/N) - 1\n",
    "\n",
    "import math\n",
    "bi_curve = []\n",
    "for i in range(N):\n",
    "    bi_curve.append(math.comb(N,i)*p**i)\n",
    "\n",
    "plt.plot(bi_curve)\n",
    "\n",
    "print(np.sum(bi_curve[:30]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 温度变化\n",
    "连续曝光时温度值的变化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-80\n"
     ]
    }
   ],
   "source": [
    "emccd.time_syn(0, initial=True)\n",
    "times = []\n",
    "temps = []\n",
    "imgs = []\n",
    "emgains = []\n",
    "for i in range(100):\n",
    "    img = emccd.readout(blank, 250, 0)\n",
    "    emgains.append(emccd.emgain)\n",
    "    imgs.append(img)\n",
    "    times.append(emccd.system_time)\n",
    "    temps.append(emccd.ccd_temp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 35.0)"
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "imgs = np.array(imgs)\n",
    "stds = imgs[:, 100::-100, 100:-100].std(axis=(1, 2))\n",
    "\n",
    "f, ax = plt.subplots(3, 1, sharex=True)\n",
    "\n",
    "ax[0].plot(times, temps)\n",
    "ax[0].set_ylabel(r'$T_{ccd}$ (℃)')\n",
    "ax[1].plot(times, emgains)\n",
    "ax[1].set_ylabel('emgain')\n",
    "ax[2].plot(times, stds)\n",
    "\n",
    "ax[2].set_xlabel('Time (s)')\n",
    "ax[2].set_ylabel('bias std (DN)')\n",
    "ax[2].set_xlim([0, 35])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1279f2a9a00>"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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jI7lp1iyMRqPjcV9+8w39R4zAKySE4JgYJl52GcXFxY79yz7+mN5DhuAZHEyvwYN55z//cezr3LcvAIPHjEHj68u4KVPO+fWlnTrF3AcfZEV8PO7u7k778vPzif/oI155/nkmjh/P4IEDWR4fz/6DB1n/yy8AHD5yhLU//cQHb7/N6JEjGT1yJO+/9Rbf/fADR//6q0GxrF6zhqEXXIBncDBd+vVj8fPPY7FYHPs1vr68Fx/PZddei3doKL2HDGHLtm0cT0hg3JQp+ISFMfqSS0g4ccLpvM8tXUpYbCx+ERHMvvdeHnvqKQaNHu3Yv2PXLi6/fBIxMSFERRmIi7uYvXt3O52jcpffyZNJ+Ppq+Pbbr5k6dTyhod6MGjWQbdu2NOj1VjZ06HCWLHmJ6667sc7EraioiDvvvIW33nqfgIDAc36+piQJlWhdTm+FlLVobWX4Zf/u6miEaHaKomAss7b4RVGUBsX55OLFLPv4Y/792msc3LGDB+bO5dbZs/n1d+fP6dPPP89br7zC5p9/JiUtjetnzuS1t9/mk2XL+P7LL/lpwwbefPddANIzMrjp9tu5Y+ZMDu/axcY1a7h6+nRHbO8vW8YTixezZNEiDu/axfNPP83C557jfytWALD9118BWL96NekJCXz9yScArPjsM3zDw+u8rPjsM0fMNpuNGbNn8/D999O3T59qr33Xnj2YzWYmT5jg2BYVGUm/Pn3YvHUrAFu2b8dgMDBy+HDHMaNGjMBgMLB527Z6v8/r1q/n1tmzmXfPPRzauZP33niD/65YwZIXX3Q67tmlS5l5003s3byZXj16cPMdd3DXvHkseOghdv72GwBzH3zQcfyKzz5jyUsvsfTZZ9n1++/EdOzIvz/4wOmchYWF3HLLbfz44+9s2LCVbt26c/XV0ygsLKwz5sWLn+D++x9i8+a9dOvWg9tvv8mRAKakJBMe7lvnZd68u+v9/pSbP/9e4uIuZfz4iQ1+bHORiT1F62EphQNvOu56GJNcF4sQLaTEbKPP0pb/4+HQoxfi7VG/CQyLi4v511tvseH77xk9ciQAXTp3ZtOWLbz34YdcfOGFjmOfW7iQsfZWjztnzmTBokUk7N9Pl86dAbj2yiv55bffeHT+fNIzMrBYLFw9fTqdYmIA6N+vn+Nczy5dyivPP8/VV1wBQOfYWA4dOcJ7H37IbbfcQmhICADBwcFEhIc7Hjd92jRGDhtW52sKDwtz3F76r3/h5ubGvL//vcZjMzIz8fDwIDDQuSUkPCyMjNOn1WNOnyYsNLTaY8NCQx3H1MeSF1/ksfnzue2WWwD1fX524UIeefJJFj3+uOO422+9leuvuQaAR+fPZ/Qll7Dw0UeJm6gmGPffcw+333OP4/g3332XO2fO5PYZMwB4asECftywgaKiIscxl4wbRzE+jvtvvPEeHTsGsmnTr0ydelmtMd9//0NMmXIpAE88sZjhw/uSkHCcnj17ERkZxebNe+t8zX5+/vV5axy++OJT9uzZxe+/72zQ45qbJFSi9Ti+Aozpjrt6SaiEaBUOHTlCaWkpk6ZPd9peVlbG4IEDnbYNqJQQhYeF4e3t7Uimyrdt37ULgIH9+zNh3Dj6jxxJ3IQJTJ4wgWuvvJLAwECysrJISU3lznvvZc599zkeb7FYMPjX/QPs5+eHn59fvV7brj17eP2dd9j9xx8Nnh9MURSnx9T0+KrHnDWevXvZsXs3S156ybHNarVSWlqK0WjE21tdGqbq+wzQ394FWr6ttLSUgoIC/P39OXrsGH+vUs81YuhQNthb+QAyMzNZ8NxSfvttA5mZp7FarRiNRlJSkuuMuXINU0SEWn+WlZVJz569cHNzo2vXbvV+/WeTmprCI4/cz6pVP+Lp2bpmdZeESrQOxWmQ8Ll6O3oqpPyA3njStTEJ0QK83LUcevTCsx/YDM9bXzabDYDvv/ySDlFRTvuq1rlUrj/SaDTV6pE0Go3jfDqdjp9Wr2bz1q38+PPPvPnuuzyxeDHbNm7E20tdDuT9t96q1tqk09Xdsrbis8+4a968Oo957403uOWGG/h982Yys7KI6dXLsc9qtfLgggW89vbbJB06RERYGGVlZeTm5jq1UmVmZTHG3mIXER7O6czMas+TlZ3t1Bp2NjabjcVPPMHVVZJXwCmBqPo+17at/L2uvK1c1W7fWXffzensHJYufY3o6E7o9XouuWQ0ZnNZnTHX9bwpKckMG1a9G7WyG264lTfeeLfOY8rt2bOLrKxMLrhgqGOb1Wrljz9+47333iInx3TW/x/NRRIq0TocfBdsZggdDl2vq0ioFIVGT18rRCum0Wjq3fXmKn169UKv15OcmurUvdcUNBoNY0ePZuzo0Ty1YAGdevfmm9WrmX/ffXSIiuJEYiK33HBDjY/18PAAcBppBw3r8ptx441MHDfOaV/clVcy46abuP3WWwEYOngw7u7u/LRhg6ObLT0jgwOHDvHic88BMHrECPLz89m+cycj7M+9bccO8vPzHUlXfQwZNIijx47RrWvXej+mPnp27872nTuZcdNNjm07dzsXnP++eTOvvvoOcXHTALU16MyZ7EY9b1N3+Y0bN4Ft2/Y7bbvnntvp0aMXDzzwqMuSKZCESrQGWbvh9B+g0ULfe8BLHSqrsxSgM+di9QhycYBCtG9+fn48NG8eDzz6KDabjQtGj6agsJDNW7fi6+vrqPdpqG07dvDzxo1MnjCBsNBQtu3YQVZ2Nr179gTg6ccfZ97DD+Pv58fUyZMxmUzs3LOH3Lw85t93H2GhoXh5ebH2p5/oGBWFp6cnBoOhQV1+wcHBBAcHO21zd3cnIjycnj16AGAwGLhz5kwefPxxgoOCCAoK4qHHH6d/375MHD8egN69ejFl0iTmzJ3Le2+8AcDf7ruPy6ZOdZynPp567DEuu/Zaojt04LqrrkKr1bLvwAH2HzzIc4sW1fs8Vd13993MmTuXYUOGMGbkSD776iv2HTxIl9hYxzHdunRh5cqPGTx4GIWFBTzxxMN42VsKz1VDu/zKyso4cuSQ4/apU2ns27cXHx9funbthp+fH3379nN6jLe3D0FBwdW2tzQZ5Sdcy2aFg/YJ9GKvAL9YcPPErFcLTKWOSojW4dmnnuKpxx7jhZdfpvfQocRdcQWrf/iBzp06nfM5/f38+O2PP5h29dX0GDSIJ599lleef56pkycDMHvWLD54+23+u2IF/UeO5OKpU/nv8uWO53Rzc+ONl17ivQ8/JKp7d66opSWrKby6dClXXnYZ1992G2MnTsTb25vVX3zh1CKyIj6e/n37MvmKK5h8xRUM6NePj99/3+k8sX368PSSJbU+T9zEiXz35Zf89MsvDL/4YkZdcgn/eustR9H+ubrlhhtY8OCDPPT44wy54AIST55k1i23OHUjfvjvf5OXl8vYsYOZM2cG99wzj9DQ+ndXNoX09FOMGTOYMWMGk5GRzuuvv8yYMYO5997ZLRrHudAoDR07K85JQUEBBoOB/I0b8ff1dXU4rUfSt7D/dXD3h0s+Ag+16bdo0wJ8c7eRMPS/5EVd5eIgW4+h7HJ1CKIRSoFENzc6R0fj2YyTI4rWqaSkhKDoaNZ89RXjL77Y1eEw6fLLiQgP5+NK0ydUHuXXnphMpaSkJGKxdAaci92LigoYN85Afn4+/nUMiJAuP+E65iI4sky93fM2RzIFYPLuhG/uNmmhEkKcN37dtIlLLr7YJcmU0Wjk3fh44iZMQKfTsfKLL1j/yy/8tHp1i8dyvpKESrhOwmdgLgDfGOjkPKLF5B0LICP9hBDnjSmTJjFl0iSXPLdGo2HNunU89+KLmEwmenbvzlcrVjhqwETjSUIlXKP0DJz4Sr3d607QOo/MKPNWayT0xUktHJgQQpx/vLy8WP/dd64O47wmRenCNY4tB2spBPaBiAuq7S5vofIokRYqIYQQrZ8kVKLlFafBSftfSr3m1DjPlMneQuVhTAHFWm2/EEII0ZpIQiVa3pEP1SQpbASEDKzxELNXFDaNO1rFjHvJqRYOUAghhGiYNpFQbdy4EY1GU+Nlx44djuN27NjBhAkTCAgIIDAwkMmTJ7N3795az5uTk8N9991Hz5498fb2JiYmhnnz5pGfn+90XGxsbLXnfeyxx5rr5Z7fCk7AqV/U273m1H6cRkeZdzQgc1EJIYRo/dpEQjVmzBjS09OdLrNnzyY2NpZh9in+CwsLiYuLIyYmhm3btrFp0yb8/f2Ji4vDbDbXeN5Tp05x6tQpXn75Zfbv389///tf1q5dy5133lnt2Geeecbp+Z988slmfc3nrb8+Uq+jxoGh7qUVZKSfEEKItqJNjPLz8PAgIiLCcd9sNrNq1Srmzp3rWIjx6NGj5Obm8swzzxAdrbZsLFq0iAEDBpCcnEzXGtZF6tevH1999ZXjfteuXVmyZAm33norFosFN7eKt8fPz88pBnEOChIh/Tf1dvcZZz3cMdJPWqiEEEK0cm2ihaqqVatWkZ2dzaxZsxzbevbsSUhICPHx8ZSVlVFSUkJ8fDx9+/alUwOWRiifCbVyMgWwdOlSgoODGTRoEEuWLKGsrO7Vt00mEwUFBU6Xdu/Yx+p15EXg3/mshztG+kkLlRBCtAq+vhpWr/4/V4fRKrXJhCo+Pp64uDhHSxSoLUgbN25k+fLleHl54evry7p161izZk215Kg2Z86c4dlnn+Wuu+5y2n7//ffz6aef8ssvvzB37lxee+01/v73v9d5rhdeeAGDweC4VI61XSpMglO/qrd7zKzXQ0yOFipJqIQQ1SWdPInG15e9+/ad8znMZjOPLlxI/xEj8AkLI6pbN2bOmcOp9HSn40wmE/c9+CAhMTH4hIUx/frrSU1LczomNzeXGbNnY4iKwhAVxYzZs8nLyzvn2FqjhIR0Jk+e2iLP9cUXn+Lrq+HGG6+s9ZiXX34BX18NjzzyD6ftRUVFzJ8/lx49OhIS4sWQIb15//1/N2u8Lk2onn766VqLzcsvO3fudHpMamoq69atq1bnVFJSwh133MHYsWPZunUrf/zxB3379mXatGmUlJScNZaCggIuvfRS+vTpw6IqK3o/8MADXHzxxQwYMIDZs2fz7rvvEh8fz5kzZ2o934IFC8jPz3dcUlJSGvDOnIf++hhQIOJC8O9Sr4eUOWqokpotLCFE+2Y0Gtm9dy8LH32U3Zs28fUnn/DX8eNMv/56p+P+8cgjfLN6NZ/+739s+uknioqKuOzaa7FaK6Z1ufmOO9i7bx9rv/mGtd98w959+5gxp47BN21QeHgE+hZYhzI5+SRPPPEQY8ZcWOsxu3btYNmy/9Cv34Bq+x577AHWr1/LBx8sZ9euw8yd+wAPPXQf3333bbPF7NKEau7cuRw+fLjOS79+/Zwes2zZMoKDg5k+3Xmpkk8++YSkpCSWLVvG8OHDGTVqFJ988gmJiYl8+23db2BhYSFTpkzB19eXb775Bnd39zqPHzVqFADHjx+v9Ri9Xo+/v7/Tpd0qSoFTG9Xb9WydgooWKnfTaTQWYzMEJoSoL0VRePHVV+nSrx9eISEMHDWKL7/5xrF/42+/ofH1Zd369QweMwavkBAumTaNzMxMfvjxR3oPGYJ/ZCQ3zZqF0Vjxef7ym2/oP2IEXiEhBMfEMPGyyyguLnbsX/bxx/QeMgTP4GB6DR7MO//5j2Nf5759ARg8ZgwaX1/GTZnS4NdlMBj4afVqrr/mGnr26MGoESN48+WX2bVnD8n2P4Tz8/OJ/+gjXnn+eSaOH8/ggQNZHh/P/oMHWf+LOmr58JEjrP3pJz54+21GjxzJ6JEjef+tt/juhx84+tdfDYpp9Zo1DL3gAjyDg+nSrx+Ln38ei8Xi2K/x9eW9+Hguu/ZavEND6T1kCFu2beN4QgLjpkzBJyyM0ZdcQsKJE07nfW7pUsJiY/GLiGD2vffy2FNPMWj0aMf+Hbt2cfnlk4iJCSEqykBc3MXs3bvb6RyVu/xOnkzC11fDt99+zdSp4wkN9WbUqIFs27alQa+3KqvVyp133sITTyymc+ea/wAvKirizjtv4a233icgILDa/m3btnDzzbdx0UXj6NQpljvu+Bv9+w9k9+6dNZytabg0oQoJCaFXr151Xjw9K1Z9VhSFZcuWMXPmzGpJj9FoRKvVOorUAcd9m81WawwFBQVMnjwZDw8PVq1a5fR8tdmzZw8AkZGRDX3J7VPCF4ACYaPOOrKvMqt7IBY3AwD6kuRmCk4IF1MUKDO2/EVRGhTmk4sXs+zjj/n3a69xcMcOHpg7l1tnz+bX3393Ou7p55/nrVdeYfPPP5OSlsb1M2fy2ttv88myZXz/5Zf8tGEDb777LgDpGRncdPvt3DFzJod37WLjmjVcPX06ij2295ct44nFi1myaBGHd+3i+aefZuFzz/G/FSsA2P6rWkawfvVq0hMS+PqTTwBY8dln+IaH13lZ8dlntb7W/IICNBoNAQb1+2fXnj2YzWYmT5jgOCYqMpJ+ffqweetWALZs347BYGDk8OGOY0aNGIHBYGDztm31fp/XrV/PrbNnM++eezi0cyfvvfEG/12xgiUvvuh03LNLlzLzppvYu3kzvXr04OY77uCuefNY8NBD7PxNHfwz98EHHcev+Owzlrz0EkuffZZdv/9OTMeO/PuDD5zOWVhYyC233MaPP/7Ohg1b6datO1dfPY3CwsI6Y168+Anuv/8hNm/eS7duPbj99pscCWBKSjLh4b51XubNu9vpfC+88AzBwaHcdlv1Effl5s+/l7i4Sxk/fmKN+0ePvoA1a1Zx6lQaiqLw66+/cPz4X0ycGFfna2mMNjHKr9yGDRtITEyscVqDSZMm8fDDD3Pvvfdy3333YbPZ+Oc//4mbmxvj7Ys/pqWlMWHCBD766CNGjBhBYWEhkydPxmg0snz5cqfi8dDQUHQ6HVu2bGHr1q2MHz8eg8HAjh07eOCBB5g+fToxMTEt+vrbpNIcSF2n3u52Y8Meq9FQ5h2DW8F+PIwnKfXr1fTxCeFq5hJ4vVvLP+/9x8HDu16HFhcX86+33mLD998zeuRIALp07symLVt478MPufjCim6Z5xYuZKy91ePOmTNZsGgRCfv306WzOhDl2iuv5JfffuPR+fNJz8jAYrFw9fTpdLJ/n/av1Cvx7NKlvPL881x9xRUAdI6N5dCRI7z34YfcdssthIaEABAcHExEeLjjcdOnTWOkfUqd2oSHhdW4vbS0lMeeeoqbr7/e0bOQkZmJh4cHgYHOLSHhYWFknD6tHnP6NGGhodXOFxYa6jimPpa8+CKPzZ/PbbfcAqjv87MLF/LIk0+y6PHHHcfdfuutXH/NNQA8On8+oy+5hIWPPkrcRDXBuP+ee7j9nnscx7/57rvcOXMmt89QR1g/tWABP27YQFFRkeOYS8aNoxgfx/033niPjh0D2bTpV6ZOvazWmO+//yGmTLkUgCeeWMzw4X1JSDhOz569iIyMYvPmvXW+Zj+/ih6cLVv+4KOP4ut8zBdffMqePbv4/ffaW5tefvkN5s6dQ48eHXFzc0Or1fL22x8wZkz1pc6aSptKqOLj4xkzZgy9e/eutq9Xr16sXr2axYsXM3r0aLRaLYMHD2bt2rWOliSz2czRo0cdzc27du1im/0vh27dnL/QEhMTiY2NRa/X89lnn7F48WJMJhOdOnVizpw5PPLII838as8Tid+Azayu2RfUv8EPN3nH4l2wX+qohHChQ0eOUFpayqQqpRZlZWUMHui82sGASglReFgY3t7ejmSqfNv2XbsAGNi/PxPGjaP/yJHETZjA5AkTuPbKKwkMDCQrK4uU1FTuvPde5tx3n+PxFosFw1lKKPz8/PDz82vw6zSbzdw4axY2m413Xn31rMcriuLUK6KpYRmtqsecza69e9mxezdLXnrJsc1qtVJaWorRaMTbW02Cq77PAP3tXaDl20pLSykoKMDf35+jx47x9yr1XCOGDmWDvZUPIDMzkwXPLeW33zaQmXkaq9WK0WgkJaXuHoLKNUwREervbVZWJj179sLNzY2uXev3B0NhYSGzZ9/KW2+9T4g9Wa4qNTWFRx65n1WrfqyzR+nf/36DHTu28vnnq4iJ6cSmTb/xwAN/JyIistZWrcZqUwnVJ/bm3NpMmjSJSZMm1bo/NjbW0ZQMMG7cOKf7NRkyZAhb7U26ooEsRjhpr1/remONa/adjYz0E+c9dy+1tcgVz1tP5WUT33/5JR2iopz2VS1QrlyOodFoqpVnVC7D0Ol0/LR6NZu3buXHn3/mzXff5YnFi9m2cSPeXmp877/1VrXWJp1OV2e8Kz77jLvmzavzmPfeeINbbrjBcd9sNnP9jBkkJiWx4fvvnepeI8LCKCsrIzc316mVKjMrizH2FruI8HBOZ2ZWe56s7OxaW8NqYrPZWPzEE1xdJXkFnBKIqu9zbdsql7xUTeyq/v7NuvtuTmfnsHTpa0RHd0Kv13PJJaMxm+ueJqiu501JSWbYsD51Pv6GG27ljTfeJTExgZMnk7juussd+8rPYzC4sWfPUQ4e3E9WViYXXDDUcYzVauWPP37jvffeIifHRFlZGU8//TgrV37jaDnr128A+/fv5fXXX5aESrRBJ78HcxH4dISIMed0CsdIv+KkpotLiNZEo6l315ur9OnVC71eT3JqqlP3XlPQaDSMHT2asaNH89SCBXTq3ZtvVq9m/n330SEqihOJiU6JT2UeHh4ATiPtoOFdfuXJ1LGEBH5Zs4bg4GCnY4cOHoy7uzs/bdjg6GZLz8jgwKFDvPjccwCMHjGC/Px8tu/cyQj7c2/bsYP8/HxH0lUfQwYN4uixY3SrYTLqxujZvTvbd+5kxk03Obbt3O1ccP775s28+uo7xMVNA9TWoDNnshv1vA3p8uvRoxfbtu132vfss09SWFjIiy++TseO0YSGhlU75p57bqdHj1488MCj6HQ6zGYzZrMZrda5TFyr1dVZU91YklCJ5mGzwIkv1dtdbwDNuY1/cEzuWSItVEK4ip+fHw/Nm8cDjz6KzWbjgtGjKSgsZPPWrfj6+jrqfRpq244d/LxxI5MnTCAsNJRtO3aQlZ1N7549AXj68ceZ9/DD+Pv5MXXyZEwmEzv37CE3L4/5991HWGgoXl5erP3pJzpGReHp6YnBYGhQl5/FYuHaW29l9969fPfll1htNkfNU1BgIB4eHhgMBu6cOZMHH3+c4KAggoKCeOjxx+nfty8T7TW6vXv1YsqkScyZO5f33ngDgL/ddx+XTZ1Kzx496v2ePPXYY1x27bVEd+jAdVddhVarZd+BA+w/eJDnqkzp0xD33X03c+bOZdiQIYwZOZLPvvqKfQcP0iU21nFMty5dWLnyYwYPHkZhYQFPPPEwXl71b8msSUO6/Dw9Penb13lkv8EQAODY7uHhUe0Yb28fgoKCHdv9/f254IKLeeKJh/H09LJ3+f3KypUf8cIL/2rU66lLm5zYU7QB6b9BaRboA6Fj7d2wZ+Po8itOavCoJCFE03n2qad46rHHeOHll+k9dChxV1zB6h9+oHMDVqKoyt/Pj9/++INpV19Nj0GDePLZZ3nl+eeZOnkyALNnzeKDt9/mvytW0H/kSC6eOpX/Ll/ueE43NzfeeOkl3vvwQ6K6d+eKWlqy6pKalsaq778nNS2NQaNHE9m1q+OyuVK5x6tLl3LlZZdx/W23MXbiRLy9vVn9xRdO3Y8r4uPp37cvk6+4gslXXMGAfv34+P33nZ4vtk8fnl6ypNZ44iZO5Lsvv+SnX35h+MUXM+qSS/jXW285ivbP1S033MCCBx/koccfZ8gFF5B48iSzbrnFqRvxw3//m7y8XMaOHcycOTO45555hIbWv7uyNfnf/z5l6NDh3HnnLQwb1odXXvknixYtYfbsu8/+4HOkUc5WRCSaREFBAQaDgfyNG/H39XV1OM1v032QexB63AY9b2vww3eh9o9rrKUMWaOO3tk7+QRWfXBdDzvvDWWXq0MQjVAKJLq50Tk6Gs8WmBxRtC4lJSUERUez5quvGH/xxa4Oh0mXX05EeDgfV5o+ofIov/bEZColJSURi6Uz4FzsXlRUwLhxBsfSdLWRLj/R9PKOqsmUxg06XX724+ug6Dwp84zEozQdvTEJYztPqIQQbdevmzZxycUXuySZMhqNvBsfT9yECeh0OlZ+8QXrf/mFn1avbvFYzlfS5SeaXqJ99uSoceAZ1OCH/5hWymvb9lBiVieGM8kSNEKI88CUSZP4/quvXPLcGo2GNevWcWFcHEMvvJDVP/zAVytWOGrARONJC5VoWqYcOKUuxUDnqxr88IRCC/dtzcNky2NgeCjjYztS5t0JcrZIQiWEEOfIy8uL9d995+owzmvSQiWa1snv1Yk8A3pDYPUJWOtiVRQe2p6PyT6q9VShOoOvY6SfzEUlhBCilZKESjQdmwWSVqm3O1/d4Ie/f7SYPTlmx/30InVG+4rJPZMaHaIQLqcoZ51QWAjRshRFafRAckmoRNPJ2AymM+pUCVEXNeihJwot/Oug2iI1tYM6+imjSF1x3jG5p7RQiTbOHUBRMJpMrg5FCFGJyWS0J1TuZzu0VlJDJZpOsr1/PnoqaOv/n1JRFBbsyqfMBheFe/BgPz9+SDORXliMoiiOFiqPkhS1FUwr/21F26QDAmw2MrPV2ae99foGrfMmRHMzUfeyPucbRVEwmYxkZ2diswVAI16//DKJpmFMhyz7yt8x0xr00C+SStiWZcZLp2HJUH/CPHVogVKrlbxSE4Gekdi0HmhtZXiUpqlF6kK0UREAZjOZp0+ry85IQiVakTI8XB1Ci1IU9aImUxGNOpckVKJpnFyjXocOA5+ouo+tJKvUypI/CwGY39eXaB/1v2SItxeZxhJOFRUT6OVJmVcMnsXH0RuTJKESbZoGiATCbDbMZztYiBZ2kJ6uDsEF3GlMy1Q5SahE49kskPKDejvmsgY99Nm9heSbFfoGuHF794oFYiP9fMg0lpBRZKRvaDAm71g8i4/LSD9x3tDRFF/hQjQ1z7MfImokRemi8U5vUeef0gdCxJh6P+yP0yZWpZSiBf45zICbtqLrI9JXXf4g3V6Y7rSmnxBCCNHKSEIlGu/k9+p19JR6F4ybbQqL96pdfTO6edM/0LmI3ZFQFdpH+vnEAqAvkRYqIYQQrY8kVKJxjBmQtUO93YBi9I8TjPxVYCHQQ8P8vtUXi470U7v/HC1UXvaRftJCJYQQohWShEo0TupPgALBg8CnQ70ekl1q5VX7nFMP9/fD4FH9v2F5C1VGkVEd1lreQiU1VEIIIVohSajEuVMUe0IFRMfV+2EvHSii0KzQL8CNGzp71XhMmI83Wo0Gk9VKTqnJMbLPvSwLraWo0aELIYQQTUkSKnHucg9BcSroPCGyfjOjH8wz83liCQCLB/ujq2UOHjetljBvNdlKLyzG6h6AxT0AAA9jcuNjF0IIIZqQJFTi3KX+qF5HXgRuNbc0VfXPfYUowOXRngwNqXsCuQhHt1+VkX6ypp8QQohWRhIqcW6sZXDqF/V29OR6PeS3DBO/ny7DXQOP9K9eiF5V1cJ0WdNPCCFEayUJlTg3pzeDuQg8w9SC9LOwKQov7FOnSZjZzdsxI3pdapuLykNaqIQQQrQyklCJc5OyTr3uOAk0Z/9v9H/JpRzOt+DnrmFu77O3TkHluaiMAJikhUoIIUQrJQmVaDhTTsXcU9GTznp4qVXhlQNq69Tfe/kQqK/ff7tIv4oaKpuiOEb6SQ2VEEKI1kYSKtFwp34FxQYBvcA35qyHf5ZoJM1oI8JLy+3dfer9NGHeXug0GspsNnJKSjF5dwZQ1/NTlHMOXwghhGhqklCJhkuzF6N3uOSsh5ZaFd4+rNZAze3ti6eu5mkSaqLTagnzqShML/PqiIIGndWIW1lWw+MWQgghmokkVKJhjKch9wCggciLz3r4igQjmaU2Onhrub6WSTzrEulbnlAZUXR6zJ7qbOyySLIQQojWRBIq0TDpG9Xr4AHgFVrnoUaLjX8fUVun7uvti4e2/q1T5SKqLJJs8lG7/fTFCQ0+lxBCCNFcJKESDVPe3Rc1/qyHLk8oIdtkI9pHxzWxDW+dgorC9PKpE0p9uwPgWXTsnM4nhBBCNAdJqET9FaVC/l/qNAln6e4zWmy8e0Rdc29eHx/cz6F1CqrPRVXq2wMAz6K/zul8QgghRHOQhErUX/nM6CHDQG+o89CVJ0rIKVPo5KPjqphza52CioTqdJERm6JUtFAVHz/ncwohhBBNTRIqUT+KAmkb1Nsd6u7uK7MpfPCX2qJ0dy8f3M6xdQog1NsTN40Gs81GtrHEkVDpixPAZjnn8wohhBBNSRIqUT+FSVB0ErTuEDG2zkP/72QJ6SU2wjy1XN3p3FunwD51QqWRfmVe0di0nmhtZehLZMZ0IYQQrYMkVKJ+Mn5Xr0OHgnvtS8dYFYV37SP7ZvfwQd+Aeadq41RHpdFS6tsNAH2RdPsJIYRoHSShEvWTbk+oIi+q87B1aSZOFFkxuGu4uUvjWqfKlSdUGdVG+klhuhBCiNahTSRUGzduRKPR1HjZsWOH47gdO3YwYcIEAgICCAwMZPLkyezdu7fOc48bN67aOW+88UanY3Jzc5kxYwYGgwGDwcCMGTPIy8trhlfaShWnQUGCOrovfHSthymKwr/tI/tu6+aNr3vT/PdyTO5pn4uq1EemThBCCNG6tImEasyYMaSnpztdZs+eTWxsLMOGDQOgsLCQuLg4YmJi2LZtG5s2bcLf35+4uDjMZnOd558zZ47Tud977z2n/TfffDN79+5l7dq1rF27lr179zJjxoxme72tTsYm9Tp4EHjUPrpvS1YZ+3MteOpgVgPW7Dub6nNRlU+dIAmVEEKI1sHN1QHUh4eHBxEREY77ZrOZVatWMXfuXDQatUbn6NGj5Obm8swzzxAdHQ3AokWLGDBgAMnJyXTt2rXW83t7ezudv7LDhw+zdu1atm7dysiRIwF4//33GT16NEePHqVnz55N9TJbL0d334V1HvbhMSMA18V6E6RvulzdMXVCcQnWylMnSJefEEKIVqJNtFBVtWrVKrKzs5k1a5ZjW8+ePQkJCSE+Pp6ysjJKSkqIj4+nb9++dOrUqc7zrVixgpCQEPr27ctDDz1EYWGhY9+WLVswGAyOZApg1KhRGAwGNm/eXOs5TSYTBQUFTpc2qTQbcg+pt+sY3ZdUZOHnUyYAZnX3btIQgr29cNNqsdinTjDZi9Ldy7LRleU06XMJIYQQ56JNJlTx8fHExcU5WqIA/Pz82LhxI8uXL8fLywtfX1/WrVvHmjVrcHOrvSHulltuYeXKlWzcuJGFCxfy1VdfcfXVVzv2Z2RkEBYWVu1xYWFhZGRk1HreF154wVFzZTAYnGJtUzL+UK8D+4BnSK2H/feYEQUYH6Gnq1/TNnzqNBoifCrqqGxuvpTZF0n2lJF+QgghWgGXJlRPP/10rcXm5ZedO3c6PSY1NZV169Zx5513Om0vKSnhjjvuYOzYsWzdupU//viDvn37Mm3aNEpKSmqNYc6cOUycOJF+/fpx44038uWXX7J+/Xp2797tOKa8W7EyRVFq3F5uwYIF5OfnOy4pKSn1fVtal3p09xWYbXyRpL7Hd/Zo2tapctXrqNRWKun2E0II0Rq4tIZq7ty51UbUVRUbG+t0f9myZQQHBzN9+nSn7Z988glJSUls2bIFrVbr2BYYGMi333571ucpN2TIENzd3Tl27BhDhgwhIiKC06dPVzsuKyuL8PDwWs+j1+vR6/X1es5Wq6wAzuxVb0dcUOthnyeWUGxR6OHvxtgwj2YJpXykX0aRWqdV6tsD/+xf8SyWwnQhhBCu59KEKiQkhJCQ2ruRqlIUhWXLljFz5kzc3d2d9hmNRrRarVOrUfl9m81W7+c4ePAgZrOZyMhIAEaPHk1+fj7bt29nxIgRAGzbto38/HzGjBlT7/O2SZnbQLGBfxfw6VDjIRabwrJjaqvRHd2962y1a4xaF0kulIRKCCGE67WpGqoNGzaQmJhYrbsPYNKkSeTm5nLvvfdy+PBhDh48yO23346bmxvjx6trz6WlpdGrVy+2b98OQEJCAs888ww7d+4kKSmJNWvWcN111zF48GDGjlULsHv37s2UKVOYM2cOW7duZevWrcyZM4fLLrvs/B/hd3qrel3H3FO/ZJhIM9oI9NBwZSOXmalLRHlCVejc5aeXFiohhBCtQJtKqOLj4xkzZgy9e/eutq9Xr16sXr2affv2MXr0aC688EJOnTrF2rVrHa1NZrOZo0ePYjSq3UYeHh78/PPPxMXF0bNnT+bNm8fkyZNZv349Op3Oce4VK1bQv39/Jk+ezOTJkxkwYAAff/xxy7xoV7FZIFNNPOtKqFYkqO/l9Z298WyCZWZqU15DdbrYiNVmq2ihKj4BtrrnGRNCCCGaW5uYh6rcJ598Uuf+SZMmMWnSpFr3x8bGoiiK4350dDS//vrrWZ83KCiI5cuX1z/Q80HOAbAUg0cABNTcEpdSbOHXjDKAJltmpjbBXp54aLWU2WxkGUuI8InCqvNBZy1Gb0zCZJ+bSgghhHCFNtVCJVrQ6S3qdfhI0OhqPOSTEyUowIXhHnTybd7cXKvREF6+BI19kWSTjzpZq8yYLoQQwtUkoRI1K0+owmru7jNZFT5PVKdKuLVr80yVUFVk1Toqv/IlaGTqBCGEEK4lCZWorigFilNB4wahQ2s8ZF1aKWdMNiK8tEyIbJnpISrmorJPnSCLJAshhGglJKES1ZWP7gseCO41L3K83F6MfmNnb9y0zVeMXln1qRMkoRJCCNE6SEIlqsssny5hVI27jxdY2J5tRqeBG5u5GL2yWueiki4/IYQQLiYJlXBmLoIz+9TbtSRU5cvMjI/QE+FVc8F6cyifLT2zuASLzUapvSjdzZyLznSmxeIQQgghqpKESjjL2g2KFXyia5wd3WJT+PqkmlBd27nlWqcAAr088dBpsSkKmcUlKG7emLxiAGmlEkII4VqSUAlnWTvU67DhNe7+7bSJrFIbQR4aLmmhYvRyWo3G0e13qrAIkEWShRBCtA6SUIkKilKRUIXWnFCVT5VwVScvPFqoGL2yjv5+AKQWlCdU5TOmS2G6EEII15GESlQoSoGSTNC6qyP8qsgx2fj5lAmA61q4u69cjMEXgOSCQkBG+gkhhGgdJKESFbJ2qtdBA8DNs9ru/0suwaxA/0A3ehncWzg4VbS9hSo5X02oTJJQCSGEaAUkoRIVHN19NU/m+YW9u++6WNe0TgHEGNSEKq2gCKuiOLr89MYkNFaTy+ISQgjRvklCJVTWMjjzp3q7hoL0Q3lmDudb8NDC9BjXJVRhPt6ORZJPFxkx6yOwuvmhUazojYkui0sIIUT7JgmVUOUcAGsp6IPAr0u13d8mlwJwSaSeAA/X/bfRaTR09FfrqFIKCkGjodSnfKSfdPsJIYRwDUmohMrR3TcMNM6j92yKwqpktbvvShe2TpUr7/ZLyS8vTJcZ04UQQriWJFRCVcd0CTuyzaSX2PBz1zCuheeeqomjMF1G+gkhhGglJKESUHoGCk6ot2soSP/W3jo1tYMnnrqWn3uqqmhHC1X5XFRqQqWXhEoIIYSLSEIlIHuPeu3fDfQBTrvKbAprUtX6qStiqk+l4ArR9hqqU4VF6pp+ji6/Y+rkpEIIIUQLk4RKVCRUoUOq7fo9w0RemUKop5ZRYR4tHFjNQr298HTTYVEU0ouKMfl0QUGDmyUft7IsV4cnhBCiHZKESlQkVMGDq+0qH913ebQnOo3ru/sANBqN0wSfis6TMu9OAHgWSmG6EEKIlicJVXtnTIeSDNDoILi/065ii42f7EvNXNEKRvdVVj7SLzm/amG6JFRCCCFaniRU7V32XvU6oBe4eTvt2pBuosSq0MlHx4BAt5aPrQ4x9haqlGqLJB93WUxCCCHaL0mo2rvy7r6Q6t19P9iL0S+N9kTTSrr7ykXbF0lOkRYqIYQQrYAkVO2ZotSaUBktNn5JLwNgWsfWMbqvsvIWqoyiYsqsVkp9ZC4qIYQQriMJVXtWnAKmM6B1h8C+Trt+zSijxKoQ7aOjb0Dr6u4DCPDU4+vujg1IKyyi1E/t8vMwnkRjLXVtcEIIIdodSajas/LWqcC+oHOeEqG8u29qB32r6+4D+0i/SoXpFo9QLO4GNChSRyWEEKLFSULVntXS3VdqVfg5XR3dN7UVdveViymvoyooUhdJ9u0FgFfBIVeGJYQQoh2ShKq9UmwVI/yqJFS/nzZRbFGI8tIyKMi95WOrp8pzUQEY/fsB4FVwwGUxCSGEaJ8koWqvChPBXAA6T3XKhErKu/umdGx9o/sqi3Gs6acmVCWSUAkhhHARSajaqzN/qtdB/UFbUXRusiqOyTxb4+i+yspbqDKNJZRYLJQY1IlJvSWhEkII0cIkoWqvzuxXr4OcZ0ffklVGoVkhzFPLkODW290H4K/3IECvByC1oIgSvz4oaHA3ncbNJGv6CSGEaDmSULVHigI59oSqynIz60+p3X0To/RoW3F3X7nKE3za3Hww+XQBwKtgvyvDEkII0c5IQtUeGU+BKUedfyqgt2Ozoij8bO/umxTVurv7yjkK0wuc66ik208IIURLkoSqPTqzT70O6OU0/9TBPAvpJTa8dBpGh3nU8uDWpeoiyUZ/tcXNK18SKiGEEC1HEqr2KMeeUAVV7e5TW6cuivDAU9f6u/sAov0rzUWFjPQTQgjhGm0iodq4cSMajabGy44dOxzH7dixgwkTJhAQEEBgYCCTJ09m7969tZ43KSmp1vN+8cUXjuNiY2Or7X/sscea8yU3r1oK0ivXT7UV5bOl55SUUlRmpsRfXULHq+goGqvJlaEJIYRoR9pEQjVmzBjS09OdLrNnzyY2NpZhw4YBUFhYSFxcHDExMWzbto1Nmzbh7+9PXFwcZrO5xvNGR0dXO+/ixYvx8fFh6tSpTsc+88wzTsc9+eSTzf66m0XpGbWGCg0EVazfl260ciDPgga4JLJt1E8B+Li7E+KlxptSUEiZV7S6BI1iwbPoLxdHJ4QQor1ofave1sDDw4OIiAjHfbPZzKpVq5g7d65j4smjR4+Sm5vLM888Q3R0NACLFi1iwIABJCcn07Vr12rn1el0TucF+Oabb7jhhhvw9fV12u7n51ft2DapfHSff1dwr3iN6+1LzQwNdidY3ybybIdogx/ZJaWk5BfSOySIEr9++OX8gVfBAcfcVEIIIURzalu/nHarVq0iOzubWbNmObb17NmTkJAQ4uPjKSsro6SkhPj4ePr27UunTp3qdd5du3axd+9e7rzzzmr7li5dSnBwMIMGDWLJkiWUlZXVeS6TyURBQYHTpVUoL0ivZbqECW2ou69ctZF+BhnpJ4QQomU1qIXq6NGjrFy5kt9//52kpCSMRiOhoaEMHjyYuLg4rrnmGvT65v9Bjo+PJy4uztESBWoL0saNG7niiit49tlnAejRowfr1q3Dza1+LzM+Pp7evXszZswYp+33338/Q4YMITAwkO3bt7NgwQISExP54IMPaj3XCy+8wOLFi8/h1TUzR0H6AMemIrONLZlqgthWpkuorGIuKrUwvWJNP5mLSgghRMuoVwvVnj17mDRpEgMHDuS3335j+PDh/OMf/+DZZ5/l1ltvRVEUnnjiCaKioli6dCkmU/2KgZ9++ulai8LLLzt37nR6TGpqKuvWravWilRSUsIdd9zB2LFj2bp1K3/88Qd9+/Zl2rRplJSUnDWWkpISPvnkkxpbpx544AEuvvhiBgwYwOzZs3n33XeJj4/nzJkztZ5vwYIF5OfnOy4pKSn1ek+albkIChLV25VaqDZlllFmg04+Orr66VwU3LmLqWUuKq+CA+okpkIIIUQzq1fTzZVXXsnDDz/MZ599RlBQUK3HbdmyhVdffZVXXnmFxx9//KznnTt3LjfeeGOdx8TGxjrdX7ZsGcHBwUyfPt1p+yeffEJSUhJbtmxBq9U6tgUGBvLtt9+e9Xm+/PJLjEYjM2fOPGvco0aNAuD48eMEBwfXeIxer2+R1roGyTkAKODTEfQV/46/ZqgJ8PhIfateDLk2Hf190QAFpjLyS01o/HqjoMW97AzupgzMnpGuDlEIIcR5rl4J1bFjx/DwOPtEj6NHj2b06NFnrS8qFxISQkhISL2OBXUm72XLljFz5kzc3Z3XmTMajWi1WqeEoPy+zWY767nj4+OZPn06oaGhZz12z549AERGtrEf6txD6nVgxeg+RVH41V6QfnFEK0sA68nTzY0wH29OFxtJLijEEBZCqW93vIqO4pV/QBIqIYQQza5eXX71SaYac3x9bdiwgcTExBq75SZNmkRubi733nsvhw8f5uDBg9x+++24ubkxfvx4ANLS0ujVqxfbt293euzx48f57bffmD17drXzlre67d27l8TERD7//HPuuusupk+fTkxMTLO8zmbjSKj6ODYdL7RyqsSGhxZGhbaN2dFrUj5jekp+ebeffT4qqaMSQgjRAuo9yu+nn37iqquuwmKxVNtnNBq59NJLWb9+fZMGV1V8fDxjxoyhd+/e1fb16tWL1atXs2/fPkaPHs2FF17IqVOnWLt2raMlyWw2c/ToUYxGo9NjP/zwQzp06MDkyZOrnVev1/PZZ58xbtw4+vTpw1NPPcWcOXNYuXJl87zI5qJYIfewejuoIqHaaG+dGhXqgZdb2+vuK1fbjOky0k8IIURLqPcov+eff55bbrmlxhFz3t7eTJs2jWeeeYaJEyc2aYCVffLJJ3XunzRpEpMmTap1f2xsLEoNRcrPP/88zz//fI2PGTJkCFu3bm1YoK1RYRJYS0DnBX6xjs3l9VNttbuvXK1r+hUcdFlMQggh2o96tVDZbDa2bt1arRC8smuuuYZt27bVmLCIViCnvLuvF2jUkXxGi43t2Wq927jItp1QVZ6LSlEURwuVZ/ExNNZSV4YmhBCiHahXQpWVlUVZWVmtI9pALTA3m81kZmY2WXCiCeVVr5/aYp8uoaO3ji6+bW+6hMo6+Pmg1Wgwmi3klJowe0ZicQ9Co1jxKjzs6vCEEEKc5+qVUAUEBKDVaklISKj1mISEBNzc3AgMDGyy4EQTyqk+wu/XDLV16uIIjzY5XUJl7jodUb4+ACTl5YNGg9FQaT4qIYQQohnVK6HS6/VceOGFvPDCC7Ue88ILL3DhhRc22wg/0QhlBVBsn1g0UC3oVxSFjfb6qbbe3VeuS6ABgIRcdZmfEkcdlSRUQgghmle9i9KXLFnCuHHjSEtLY/78+XTv3h2NRsPRo0f517/+xe+//86vv/7anLGKc1U+XYJPR/BQk46kIivJxVbcNTC6DU+XUFnXIAO/JaeRkJMHVCxBIyP9hBBCNLd6J1SjR49mzZo13HXXXUybNs3RRaQoCl27dmXNmjWMHDmy2QIVjVDD/FObTqvdfUNDPPB1b5NrZFfT1d5CdSI3H6i8BM1+dQmaNt6tKYQQovVq0OLIEyZM4NixY+zZs4fjx48D0K1bNwYPHtzma3DOazUkVH9kqt19F4SfH61TALEB/miBnFITuSWlaHx7omjccDPn416Sitk7+qznEEIIIc5FvROqw4cP8+yzz+Ll5cWzzz7LkCFDmjMu0VQUK+QdUW/bC9KtisLmTLWFakzY+ZNQebm5EeXvS2pBEQm5+QRGhVPq2wOvwkN4FxwgXxIqIYQQzaTefT3XXnstd9xxB1OnTuXmm29uzphEUyo8CRYj6DzBPxaAg7kWCswKfm4aBgS61/34NqabozBd7fYz+stIPyGEEM2vXglVTk4OXl5eTJw4kWuvvZbU1NTmjks0lfLlZgIqJvQs7+4bGeaBm/b86qrtWiWhKpGESgghRAuoV5dfUFAQvr6+LFq0iPz8fIYOHdrccYmmkndUvQ7o5dj0h70gfex51N1XrkulhEpRFBnpJ4QQokXUu8tvzZo1REVFMXDgQJYvX96cMYmmVF4/FdATgFKrwo7s8zeh6hxgQAvklZrIKTVRYlDnotIXJ6C1FLs2OCGEEOetehele3t7c9dddzVnLKKpWcugMFG9bU+odp8pw2SDUE8t3f0bNMizTdC76ejo70dyQSEncvMJjgrHrA/D3ZSJZ+FhjIHDXB2iEEKI89D5MQGRqFlBgjrKz8MAXuEAjtF9Y8Pa/nIztekapHb7Ha82wed+V4UkhBDiPFevhGrKlCls3rz5rMcVFhaydOlS3n777UYHJppA5e4+e/JUPqHn+TRdQlVSmC6EEKKl1avP57rrruP666/Hz8+P6dOnM2zYMKKiovD09CQ3N5dDhw6xadMm1qxZw2WXXcZLL73U3HGL+qhSkF5gtrEvxwzA2PDzY/2+mlSeMV1RFEdC5Z0vCZUQQojmUa+E6s4772TGjBl8+eWXfPbZZ7z//vvk5eUBoNFo6NOnD3FxcezatYuePXs2Z7yiIRwJlfpvsj2rDBvQ2VdHB2+d6+JqZp0C/NFqNOSbyjhTUopXeQtV4UFZgkYIIUSzqHdVsoeHBzfffLNjUs/8/HxKSkoIDg7G3f38mhzyvGAxQlGyetueUG3LUrv7Rp0niyHXRq/TEe3vy8n8QhJy8wmJ7IFN64HOUoiHMYkyn86uDlEIIcR55pyL0g0GAxEREZJMtVZ5xwAFPMNAHwTA9iy1u2/keZ5QQZU6Kq27o9vPJ2+XK8MSQghxnpJRfuerfOf5p4rMNg7kqQnViPaQUAUFAGodFUBxgDpdgk/uTleFJIQQ4jwmCdX5qkr91K4zZqwKRPvoiDqP66fKOVqoctTC9OLA4QD45ElCJYQQoulJQnW+qpJQlddPjQhpH120nQx+6DQaCsrKyDKWUByoLpfknf8nGqvJxdEJIYQ430hCdT4y5YMxXb1daYQftI/6KQAPnY4Ygx+gdvuZvLtgcQ9CayuT+aiEEEI0uXNKqPLy8vjggw9YsGABOTk5AOzevZu0tLQmDU6co/y/1GufjuDuS4lF4c+c9lOQXs6pMF2joTiwvI5qhyvDEkIIcR5qcEK1b98+evTowdKlS3n55Zcd81F98803LFiwoKnjE+ci/5h6begOwJ6cMswKRHhpifE5/+unylWdMb1I6qiEEEI0kwYnVPPnz2fWrFkcO3YMT09Px/apU6fy22+/NWlw4hxVSagq6qfO3/X7atKlUkKlKArFAWodla+0UAkhhGhiDU6oduzYwV133VVte4cOHcjIyGiSoEQjFRxXrw3dgPY1/1RlnQx+uGk0FJWZyTSWYLQXpuuNSbiZsl0cnRBCiPNJgxMqT09PCgoKqm0/evQooaGhTRKUaARzMRTba9n8u2OyKuw+074K0su5VylMt7oHUOLbA5BuPyGEEE2rwQnVFVdcwTPPPIPZrLZ6aDQakpOTeeyxx7jmmmuaPEDRQOWtU56hoDewP9eMyQbBei1d/dpP/VS58gk+j+fYJ/gsr6OSCT6FEEI0oQYnVC+//DJZWVmEhYVRUlLCxRdfTLdu3fDz82PJkiXNEaNoiPzy7j61fmpntto6NSzEvV3VT5UrL0yvmDFd7faTkX5CCCGaUr0XRy7n7+/Ppk2b2LBhA7t378ZmszFkyBAmTpzYHPGJhsp3rp/aeUZtSRwW3L66+8pVjPTLqzJj+m5QbKCRqdiEEEI0XoMSKovFgqenJ3v37uWSSy7hkksuaa64xLkqqBjhpygKu+0tVEPbyQzpVUUb/HDTaik2WzhdbCTCrw9WnTc6SwGeRX9R6tfL1SEKIYQ4DzToz3M3Nzc6deqE1WptrnhEY1jLoPCketu/G0lFVnLKFDy00DegfSZU7lotsfbC9ITcfNC6YTQMBqSOSgghRNNpcH/Hk08+6TRDumhFCpNAsYK7P3iFscve3Tcg0B29rv3VT5XrUmWCT5kxXQghRFNrcA3VG2+8wfHjx4mKiqJTp074+Pg47d+9e3eTBScayDGhZzfQaNh1pry7r33WT5XrGmSAE5UK08sTqrxdrgxLCCHEeaTBCdWVV17ZDGHUbePGjYwfP77Gfdu3b2f4cLXQ+Oeff2bhwoXs378fX19fZs6cyZIlS3Bzq/1lmkwmHnroIVauXElJSQkTJkzgnXfeoWPHjo5jcnNzmTdvHqtWrQJg+vTpvPnmmwQEBDTdi2wKVSb03JWttlANCW6f3X3lKi9BY6tUmO5VcBCtpQibm68rwxNCCHEeaHBCtWjRouaIo05jxowhPT3dadvChQtZv349w4aprQ379u1j2rRpPPHEE3z00UekpaVx9913Y7Vaefnll2s99z/+8Q9Wr17Np59+SnBwMA8++CCXXXYZu3btQqdT5226+eabSU1NZe3atQD87W9/Y8aMGaxevbqZXvE5Km+h8u9OfpmNvwosAAxt5wlVtL8f7lotRrOFjKJiovwiKfPsgEdpGt55eykKucDVIQohhGjjGpxQuYKHhwcRERGO+2azmVWrVjF37lzH3EqffvopAwYM4KmnngKgW7duvPDCC9x0000sWrQIPz+/aufNz88nPj6ejz/+2DHtw/Lly4mOjmb9+vXExcVx+PBh1q5dy9atWxk5ciQA77//PqNHj+bo0aP07NmzuV9+/ShWKDih3jZ0Y0+O2joV66sjxLP9TehZmZtWS7cgA4ezczmcnUuUny/FgcPwSE/DJ2+HJFRCCCEarcFF6VqtFp1OV+ulJaxatYrs7GxmzZrl2GYymZwWawbw8vKitLSUXbtqrpXZtWsXZrOZyZMnO7ZFRUXRr18/Nm/eDMCWLVswGAyOZApg1KhRGAwGxzE1MZlMFBQUOF2aVVEaWEtB5wm+HR3TJbT37r5yvUOCADicrQ6mqChMl5F+QgghGq/BLVTffPON032z2cyePXv43//+x+LFi5sssLrEx8cTFxdHdHS0Y1tcXByvvfYaK1eu5PrrrycjI4PnnnsOoFp3YbmMjAw8PDwIDAx02h4eHu5Y6DkjI4OwsLBqjw0LC6tzMegXXnihxd4PoGL+Kf8uoNE5RvgNbacTelalJlQJHM5SE6qigEpL0CgKtMNZ5IUQQjSdc1rLr/Ll2muvZcmSJbz44ouOou36evrpp9FoNHVedu50bkFITU1l3bp13HnnnU7bJ0+ezEsvvcTdd9+NXq+nR48eXHrppQANbjlTFMVpmZaalmypekxVCxYsID8/33FJSUlpUAwNVt7d598Vi01hT3lC1U4n9KyqZ0ggGiCj2EhuSSlGw0AUjQ4PUwbupWmuDk8IIUQb12TrbowcOZL169c36DFz587l8OHDdV769evn9Jhly5YRHBzM9OnTq51v/vz55OXlkZycTHZ2NldccQUAnTt3rvH5IyIiKCsrIzc312l7ZmYm4eHhjmNOnz5d7bFZWVmOY2qi1+vx9/d3ujSrgkT12r8LR/ItGK0Kfm4aevi3iTK5Zufj7k5sgPpvcCg7B8XNG6O/+n9L5qMSQgjRWE2SUJWUlPDmm286TTVQHyEhIfTq1avOS+W6KEVRWLZsGTNnzsTdveaWF41GQ1RUFF5eXqxcuZLo6GiGDBlS47FDhw7F3d2dn376ybEtPT2dAwcOMGbMGABGjx5Nfn4+27dvdxyzbds28vPzHce0CuUtVH6dHQXpg4Ld0UpXlkO1OqoAqaMSQgjRNBrcfBEYGOjU1aUoCoWFhXh7e7N8+fImDa6qDRs2kJiYWK27r9xLL73ElClT0Gq1fP311/zzn//k888/d3T5paWlMWHCBD766CNGjBiBwWDgzjvv5MEHHyQ4OJigoCAeeugh+vfv7xj117t3b6ZMmcKcOXN47733AHXahMsuu6z1jPAzF0Fppnrbvwt/nlATqsFB0t1XWe+QINYcT+JQVnlh+nA4GY+vJFRCCCEaqcEJ1auvvuqUUGm1WkJDQxk5cmS14u6mFh8fz5gxY+jdu3eN+3/44QeWLFmCyWRi4MCBfPvtt0ydOtWx32w2c/ToUYxGo2Pbq6++ipubG9dff71jYs///ve/TnVXK1asYN68eY7RgNOnT+ett95qpld5DspbpzzDwN2XP3OyARgoCZWT3qHq/8/k/EKKy8zo7SP9vPP3gs0MWnm/hBBCnJsGJ1SXXHIJ0dHRNRZkJycnExMT0ySB1eSTTz6pc/+GDRvq3B8bG4uiKE7bPD09efPNN3nzzTdrfVxQUFCzt741iqMgvQuFZhvH7RN6DpCEykmgpycRvt5kFBk5ciaHoRFdsbgH4GbOw7vgAMaAwa4OUQghRBvV4Bqqzp07k5WVVW37mTNnai3+Fs2ssKIgfX+uGQXo4K0ltJ1P6FmTPvY6qkNZuaDRUhwwFACfPOn2E0IIce4anFBVbeEpV1RUVG1iTdFCChLUa//O/FlekB4k80/VpHdo1Qk+K81HJYQQQpyjenf5zZ8/H1BH0T311FN4e3s79lmtVrZt28agQYOaPEBxForNacqEP0+qCZXUT9WsvIUqIScPk9UqI/2EEEI0iXonVHv27AHUFqr9+/fj4VHRAuLh4cHAgQN56KGHmj5CUbeS02AtUQuqfaL5M0dteZGEqmbhPt4EeurJLTVxPCcP70C1y8+z+Di6shysHkEujlAIIURbVO+E6pdffgHg9ttv5/XXX2/+iSpF/ZQXpPvGcNqkIb3EhhboFygTetZEo9HQOySIzanpHM7KoW9od0p8e+FVdAS/M3+QF3m5q0MUQgjRBjW4hmrZsmWSTLUmlUb4lddP9TC44ePWZJPgn3fK66gO2euoCkMuBMAv+zeXxSSEEKJtO6dmjB07dvDFF1+QnJxMWVmZ076vv/66SQIT9VRDQiXdfXUrr6M6eiYXq81GYchFhCW9LwmVEEKIc9bgZoxPP/2UsWPHcujQIb755hvMZjOHDh1iw4YNGAyG5ohR1MWx5IwkVPUVbfDD292NUouVpPxCCoMvQEGDV9ER3EyZrg5PCCFEG9TghOr555/n1Vdf5bvvvsPDw4PXX3+dw4cPc/311zfrpJ6iBlYTFKcBYPPrzJ+5klDVh06joVewOmv64Sy1EL3EvlCytFIJIYQ4Fw1OqBISErj00ksB0Ov1FBcXo9FoeOCBB/jPf/7T5AGKOhSeBGzgYSDRbKDQrOCpgx7+UpB+NtXrqC4GJKESQghxbhqcUAUFBVFYWAhAhw4dOHDgAAB5eXlOa+SJFlBY3t3XmT9z1eVm+ga4466tviyQcFZeR3U4OwdFUSgIuQgAvzO/uzIsIYQQbVSDE6oLL7yQn376CYDrr7+e+++/nzlz5nDTTTcxYcKEJg9Q1KEwSb32i+WAvbuvf6B099VH10AD7lotBaYyThUVUxQ0GkWjw7P4BO4lqa4OTwghRBvT4L6ht956i9LSUgAWLFiAu7s7mzZt4uqrr2bhwoVNHqCoQ+FJ9dovlgOJakLVTxKqenHX6egeFMCh7BwOZ+XQoUsMxYbB+ObtxC/7d3Kib3J1iEIIIdqQBrVQWSwWVq9ejVarPkyr1fLII4+watUq/vWvfxEYGNgsQYpa2BMqm28nDuWpXX4yoWf9VV3Xr7C820/qqIQQQjRQgxIqNzc37rnnHkwmU3PFI+rLUgIlGQCkaKMpsijotdDNTxKq+iqvozqU5TzBp3/2b1DLIuBCCCFETRpcQzVy5EjHun7ChYqS1WuPQP4s8gKgd4A7blKQXm89gwPRApnGEs4YSygKHIVN445HaSoexkRXhyeEEKINaXBzxt///ncefPBBUlNTGTp0KD4+Pk77BwwY0GTBiTo46qc6cVC6+86Jl7sbnQMNJOTmcyg7hwtjOlAcOBy/nM34Z/9Gtk8XV4cohBCijWjwL/ANN9wAwLx58xzbNBoNiqKg0WiwWq1NF52onWOEXycO2GdI7xcgBekN1TskiITcfA7bE6rCkIvwy9mMX/ZvZHea5erwhBBCtBENTqgSE6UrpFUoSgJA8e3EgQQZ4XeueocE8t2xRA5n5QL2wvS//qnOR6UooJEuVCGEEGfX4ISqU6dOzRGHaCh7l1+Wewz5ZgV3DfQwSJdfQ/W2F6YnFxRSaCpDEzAMm9YTd1MmnkVHKfXr5eIIhRBCtAUNLkoH+Pjjjxk7dixRUVGcPKn+sL/22mt8++23TRqcqIWlBIzqCL/95g4A9DS44SEF6Q1m8NQT4+8HwL7MbBSdnqKgUQD4Zcus6UIIIeqnwQnVv//9b+bPn8+0adPIy8tz1EwFBATw2muvNXV8oiZFKYACHgZ2F3kD0t3XGIMjQwHYnZ4FVJ6P6leXxSSEEKJtaXBC9eabb/L+++/zxBNPoNPpHNuHDRvG/v37mzQ4UYvKS87kqfVTfSWhOmeDI9SEam9GFjZFqUiozmwCxebK0IQQQrQRDU6oEhMTGTx4cLXter2e4uLiJglKnEWR2s2q+HbigH1R5P4yZcI56xUciKdOR57JxMn8AooNg7G6+eFmzsWr4ICrwxNCCNEGNDih6ty5M3v37q22/YcffqBPnz5NEZM4G3tBeoE+hjMmGzoN9DJIC9W5ctfp6BcWDMCejCzQulEUNBqQZWiEEELUT4MTqocffph7772Xzz77DEVR2L59O0uWLOHxxx/n4Ycfbo4YRVX2Lr9jqAXp3f3d8NRJQXpjDI4MA2CPvY6qwNHtJ4XpQgghzq7B/US33347FouFRx55BKPRyM0330yHDh14/fXXufHGG5sjRlGZ1QTGdAB2m9SEqk+AdPc11qBwtY7q6Jlcis3mSnVUf4DNAlp5j4UQQtTunKZNmDNnDidPniQzM5OMjAxSUlK48847mzo2UZPyEX7u/uwpVEf49ZbuvkaL8PUmytcHq6JwIPMMJf79sbgHoLMU4p2/19XhCSGEaOXOKaECyMzM5PDhw/z1119kZWU1ZUyiLpWWnDlcoE5Z0VtaqJrEIPtovz0ZWaDRUhh8ASB1VEIIIc6uwQlVQUEBM2bMICoqiosvvpiLLrqIqKgobr31VvLz85sjRlFZUTIAZp8YThaVJ1TSQtUUhtjno9qTnomiKBSGXAyAvyRUQgghzqLBCdXs2bPZtm0b33//PXl5eeTn5/Pdd9+xc+dO5syZ0xwxisqKUgA4rYtCAUI9tQTrz7mhUVTSJzQYD62W7JJSUguLKAy5EADfnK1orKUujk4IIURr1uBf4u+//54PP/yQuLg4/P398fPzIy4ujvfff5/vv/++OWIUlRWrCdUxaxQAvWX9viaj1+noE1oxfUKpby/KPKPQ2krUST6FEEKIWjQ4oQoODsZgMFTbbjAYCAwMbJKgRC0UGxSlArCnLByQ7r6mVnnWdDQa8sOnAGDIWOPKsIQQQrRyDU6onnzySebPn096erpjW0ZGBg8//DALFy5s0uBEFSWZYCsDrTtbC4MAaaFqauXr+h3MyqHUYiEvfCoAAafXgqK4MjQhhBCtWIN/jf/9739z/PhxOnXqRExMDADJycno9XqysrJ47733HMfu3r276SIVjoJ0xacDh3LVH3cZ4de0onx9CPP2ItNYwsGsM3iFXYRV541HaRpeBfsoMQx0dYhCCCFaoQb/Gl955ZXNEEbdNm7cyPjx42vct337doYPHw7Azz//zMKFC9m/fz++vr7MnDmTJUuW4OZW88vMyclh0aJF/Pjjj6SkpBASEsKVV17Js88+69StGRsby8mTJ50e++ijj/LPf/6ziV5hPdkL0ks8O1JkUfDQQhc/SaiakkajYVBEKD+eSGZPRhZDI8MpCL2EwIzvCMj4QRIqIYQQNWrwr/GiRYuaI446jRkzxqmLEWDhwoWsX7+eYcOGAbBv3z6mTZvGE088wUcffURaWhp33303VquVl19+ucbznjp1ilOnTvHyyy/Tp08fTp48yd13382pU6f48ssvnY595plnnEYx+vr6NvGrrAd7C1W6Vp0hvZu/G+5aWXKmqQ2JDHMkVAD54VMJzPgOw+kfSO/5mIujE0II0Ro1qnmjqKgIm83mtM3f379RAdXEw8ODiIgIx32z2cyqVauYO3cuGo2aUHz66acMGDCAp556CoBu3brxwgsvcNNNN7Fo0SL8/Pyqnbdfv3589dVXjvtdu3ZlyZIl3HrrrVgsFqeWLT8/P6cYXMLeQnXcFglI/VRz6RcajJtGQ0aRkfSiYtzC41DQ4JO/F/eSNMxeHVwdohBCiFamwUXpiYmJXHrppfj4+DhG9gUGBhIQENBio/xWrVpFdnY2s2bNcmwzmUx4eno6Hefl5UVpaSm7du2q97nz8/Px9/ev1k24dOlSgoODGTRoEEuWLKGsrKxRr+Gc2KdM2G2SEX7NycvdjV4hatH/nowsLPpQigNHAGA4vdaVoQkhhGilGtzEccsttwDw4YcfEh4e7mghaknx8fHExcURHR3t2BYXF8drr73GypUruf7668nIyOC5554DqNZdWJszZ87w7LPPctdddzltv//++xkyZAiBgYFs376dBQsWkJiYyAcffFDruUwmEyaTyXG/oKCgIS+xOnMxlJ4B4Pcie0IlLVTNZnBEKAeyzrA3I4tp3WLJC5+Cb+42Ak7/QHasrFsphBDCWYN/kfft28euXbvo2bNno5/86aefZvHixXUes2PHDkedFEBqairr1q3j888/dzpu8uTJvPTSS9x9993MmDEDvV7PwoUL2bRpEzqd7qyxFBQUcOmll9KnT59qdWIPPPCA4/aAAQMIDAzk2muvdbRa1eSFF14462trkGJ1/imbRyCHCtSWOGmhaj6DI0P5eP8RDmSeocxqJT9iGh2PLMYv+ze0liJsbi6ooRNCCNFqNbjLb/jw4aSkpDTJk8+dO5fDhw/XeenXr5/TY5YtW0ZwcDDTp0+vdr758+eTl5dHcnIy2dnZXHHFFQB07ty5zjgKCwuZMmUKvr6+fPPNN7i7152ojBo1CoDjx4/XesyCBQvIz893XBr9ntkL0os9OwIQ7qklSJacaTYx/n4EeeoxWa0czs6h1Lcnpd6d0dpM+Gf94urwhBBCtDINbqH64IMPuPvuu0lLS6Nfv37Vko8BAwbU+1whISGEhITU+3hFUVi2bBkzZ86sNenRaDRERanLsqxcuZLo6GiGDBlS6zkLCgqIi4tDr9ezatWqanVYNdmzZw8AkZGRtR6j1+vR6/VnPVe92QvSM+wj/HrJ/FPNqnz6hA1JqezJyGJgeCj54VPxTHwHw+kfyIu83NUhCiGEaEUa/KuclZVFQkICt99+u2ObRqNBURQ0Gg1Wq7VJA6xsw4YNJCYmcuedNdewvPTSS0yZMgWtVsvXX3/NP//5Tz7//HNHl19aWhoTJkzgo48+YsSIERQWFjJ58mSMRiPLly+noKDAUesUGhqKTqdjy5YtbN26lfHjx2MwGNixYwcPPPAA06dPd0xs2iLsLVQJiprE9fSXhKq5DY4IcyRUswZCXsRUwhPfwXB6HShW0Jy9K1kIIUT70OBf5TvuuIPBgwezcuXKFi9Kj4+PZ8yYMfTu3bvG/T/88ANLlizBZDIxcOBAvv32W6ZOnerYbzabOXr0KEajEYBdu3axbds2QJ1mobLExERiY2PR6/V89tlnLF68GJPJRKdOnZgzZw6PPPJIM73KWtjX8NtbpiZUPQxSP9XcBoaHoNVoSC0oIr2omMig0VjcDbiXZeOTu5PioJGuDlEIIUQr0eCE6uTJk6xatapaAtISPvnkkzr3b9iwoc79sbGxKJXWYxs3bpzT/ZoMGTKErVu31j/I5qBYHVMmbDGGAdBDWqianY+HO/3DgvnzdDZbUtO5ulc3CsImEZT2JQGn10hCJYQQwqHBVc2XXHIJf/75Z3PEImpTkgk2M4rGnf0mteasm790N7WEMR3VFsHNKerUG+WLJRsyZD4qIYQQFRrczHH55ZfzwAMPsH//fvr371+tOLym0XeikRxr+EVhK9ES46PD201G+LWEER0ieG/3ARLzCkgvKkYXNhFF44ZX0RH0xQmYfLq6OkQhhBCtQIMTqrvvvhtQ17arqrmL0tste0KV5aaOXpTuvpbjr/eo6PZLSefq3t0oDB6Df/ZvGDLWktn1XleHKIQQohVocDOHzWar9SLJVDOxT+qZpKhrCfaQGdJblKPbL1Xt9ssPnwaA4fQPLotJCCFE69KofqPS0tKmikPUpfgUAIfM6pIz0kLVskZ2iECr0Ti6/fLCpwDgl7MZXVmui6MTQgjRGjQ4obJarTz77LN06NABX19fTpw4AcDChQuJj49v8gAFjhaqHcZQALpLC1WL8rN3+wFsSUmnzKczJX690ShW/DPXuzg6IYQQrUGDE6olS5bw3//+lxdffBEPDw/H9v79+9e5WLA4RzYzGE8DcMAcgRbo6icJVUsbE+3c7Vc+2i9Auv2EEEJwDgnVRx99xH/+8x9uueUWp0WHBwwYwJEjR5o0OAEYMwAbVq2eTAKI9dXhqWu5yVSFamRURbffqcJi8iPsdVSZP6GxSte3EEK0dw1OqNLS0mqc1NNms2E2m5skKFFJcRoAee6RgEa6+1zEqdsvNZ3igKGUeXZAZynAkPmji6MTQgjhag1OqPr27cvvv/9ebfsXX3zB4MGDmyQoUYm9fuqURtbwc7Xybr8tqemg0ZLT4VoAglI/c2VYQgghWoF6/zrfcccdvP766yxatIgZM2aQlpaGzWbj66+/5ujRo3z00Ud89913zRlr+2RvoTpmUZeckRYq1xkZFcF7mgOObj/PjjcQkfA6hswf0ZXlYPUIcnWIQgghXKTeLVT/+9//KCkp4fLLL+ezzz5jzZo1aDQannrqKQ4fPszq1auZNGlSc8baPtkTqr0mdcoEaaFyHT+9BwPC1KV/tqSmU+rfF6N/P7S2MgLTv3VxdEIIIVyp3glV5UWE4+Li+PXXXykqKsJoNLJp0yYmT57cLAG2e/aE6oglHDcNxMoIP5caHa1Orlq+tl9Oh+sBCEr93GUxCSGEcL0G1VBpNDK6rEVVmjIhSYmgs58bHlr5N3ClkVER6DQakvILOFVYRE6Ha1HQ4JezGQ9jsqvDE0II4SINSqh69OhBUFBQnRfRhIzpgA2zxpNMAmSG9FZAHe2ndvttTk3H7NWBwpALAQhK+8KVoQkhhHChBv1CL168GIPB0FyxiKrs3X1ZughAQ1d/Xd3HixYxJjqSvaez2JKSwbW9u5PT4Qb8s38jKPUzMrrNB2nJFUKIdqdBCdWNN95IWFhYc8UiqrInVCcVtSC9m9RPtQojOoTz3q6Kbj9t5OXE7H8Qr6KjeBXso8Qw0NUhCiGEaGH17vKT+ikXsCdUhy1qQtVVuvxaBT8PDwaEV3T72dwN5EWoS9EES3G6EEK0S+c0yk+0kEoj/DRAF19JqFqL0R3VST7/cIz2uwGw11EpVpfFJYQQwjXq/Qtts9maMw5RE3tClWSLoIO3Di83aSVsLUZ0COc/u7Uk5xdyIjefrmETsLgH4m46jV/2rxSGXuLqEIVoOxQFFJv6x4hiA2z2+5UvVfdZaz+m/IJVPTdK9Wvsz1n+/NjUzdR1fA236zquXo8tf06q3694g+re77RdqXJI1cfUvT/CvSenu9yLovNCNIw0ebRWlaZMSFQi6CMF6a2Kn4cHIzuE80dKOusTk+kypD85UVcTdjKe4NTPJaESrYOiqN8ltjKwllW6NlW5X1bDMZX3mdVkxWYBxQI2q32b/bZiUfc59lvsx1d9nKVS0lMp+amWQAhX6QAoaDndfb6rQ2lzJKFqrexTJpRpPMkigK5SkN7qTOwcwx8p6fx+8hQzB/Qmp+MNhJ2MJyB9Ndr+r2Bz83F1iKKtURSwloK5CCxFYC5Wb5uLwFKi7rOWqLfL71tKKrZZS8BS6RhrqatfURPRgEZrv+gqblPlfq3HaNRzgH2bxn5XW2lUbqXb5cdUu62xH1ceU/l5a7ld9bq2bY5zV3nNla+d9p/lMZoqj61xf5V9Gg0YMyD9N0KT/8fpbv+wv3ZRX/Ir3VrZu/syNOqUCd2kIL3V6RcWTLiPN6eLjWxOTeeSTiMweXdCbzyJ4fQP5NoXTxbtlM0MZflgyoeyPPXiuJ2vXsoTJktRReLUbDV4GtDpQesBOnf1WusBOg/Q6u3XHtWvte72i5uaqGjdQONW5VpnP0ZXsa3acTrQlB9TnujUlBCV79dU2iflDi3CUool60/0xiT8sjdKS3sDya90a2VPqE7Y7CP8pIWq1dFqNEzsHM2KA0dZfyKZS2KjOdPhBqKOvUhw6meSUJ2vzMVQmg2lZ+zX2VCapd435dqTpTw1OTpXGi24+YJ7+cUHdN7g5qVedJ5Vrqtsd2zzrEiWNG6SmIi6uXmqLe1J/yH05H8loWog+ZVurYzq6LEjFnXer65+UkPVGo3v3JFPD/7F0TN5JOcXou94PVHHXsQ/62fcTFlY9KGuDlE0hKKoCZExHUpOq9fGDPv1aTV5spY04IRa8DCA3gAeAfbb9msPf3D3UxMmp+TJV02MJPkRLpDVaRZhSf8hION73EpPY/EMd3VIbYYkVK1VsZpQJSthBHhoCNZLX3ZrFOjpybCoMLalnWZ9YjIxg/pSHDAEn7zdBJ76mqzOd7k6RFETcxEUpUBRcsWl+JSaONWn7sjNBzxDqlyCQR9UKXkKAA8/qUMRbUqpf1+KAofjm7uD4JQVUpzeAJJQtVbGioSqq5+bTKzaik3sHMO2tNP8ejKNW/v34kyHG/DJ201w6qeSULmaxQj5x6EgQU2aCk+qiZTpTN2P8wwGr0jwjgDv8utw8AxVkyc3GVIuzl/ZnW7HN3eHFKc3kCRUrZFic0qoRkn9VKs2MCKUEG8vso0lbEvLYHyHa+h46El88nbjlbeXkoBBrg6xfTDlQf4xKDiuJlH5x+y1iLUMyfcMBt8Y+yUafKLVxMkrXK05EqKdyom8io4HFkhxegPJL3VrZMoBWxlWtJxSgmWEXyun02iYENuRzw4d46cTyVwYM5q8qCsISvuSsKT/cHLQO64O8fxjLVMTptyDkHMQ8o6oheE18QwFQzfwiwXfTmry5But1ioJIapR3LzJ6Xg9YUnvS3F6A8gvdWtkr5/KJAQLblKQ3gZc0jmaLw4d42BWDqcKi/CJvYugtC8JSvuS1N7PYtUHuzrEts1SAmf2wZk/IecA5B9VpyWoyqejmjwZuoO//Vof0OLhitZDURRsgE1R2ypt9gnKFRRsCtgov2+fBxWwKUrF/cqPQ6l0TMVjFPvzOM1XXmVC8srbqPM4pcbHlt+oNu95jduUau2yNR9XfVu6ey7dgwLI6nQ7YUnvS3F6A0hC1RrZu/sSbeoIMVkUufUL8fZicGQYu9IzWZ+YQlT/4RQbBuGTv5eQ5P9JYWdD2cyQexiyd0P2Hsg9VH1+Jo8ACOwLQX0hsLeaQLnLZKp1URSFMhuUWhVMVoVSq3q/zKZgsYHZplBmUzDbb5ttYFYq7pdV2m6p4dgym4JVAauiJiUWG/b7in0bWBQ1kVH32W/bjy9/rFUBq63yfefb5UlReTJksydHoD6HI9lx5ZvdZm3mHyMHcWGMFKc3lPxSt0bGUwAk2cLw0EK0j7RQtQUTO0ezKz2TX5JSualfT7I6/w2fvX8nLCme013nqRMcitqZ8iBzG5zeApk7qk9P4BUBIYMheICaSPl0OC+nFrAqCsUWhWKzel1otlFsUShybLNRaN9ntFQkRuqFSrerXsBkVVtrxNlpAa19QnWNpvy2Bq1G3Yf9WmM/Rmv/v+g0n3n5xORUudbUvM3xOPvWyo+vepzTXOc1PI+mSjw1P49zPIVmheRiK/935AQXREeRHTNLitMbQL7hWyN7C1WKEk5nXzd05+GPxvloaGQYgZ56cktN7Dx1mjFR19Dh0EI8SlMJOL2GvMjprg6x9SlKhvRNahKVewinNgUPg5pAhQxRLz5RLguzocpsCnllNvLLFPLLbOSV2cgrK99Wcbv8fqFZTZiKzAol1pZpV9EAnjoNHlrwsF+7azW4azW4acBDq8HdsU2971blvnuVY9w06rVWo97WakCnAZ1Wg04Dbho18dCVb9do0Glxvl/1trb6do39tprIqAmIRlM9CSpPdJwSI8e1ptIxztftdVR1XpmNkd+dISm/gANZZxgQdTUdDz4uxen1JAlVa1RpDqouUj/VZui0WsbHduTrIwn8dCKZ0R0jyY65jcjj/yI08T+SUJUzZsCpjZC2QR2RV5l/NwgfDRGjwdCjVf1FbLYp5JhsZJWWX6xk2+9nl5ZfW8kqtZFvbnxS5KYBX3cNPm4afN20+Dhua/B11+LjpsHbTYOnTr146TTodTjuO18qtuvt1x7a9ps4iJoFeGgZF9uBdQnJfPdXIv0vGC7F6Q0gCVVrVGnKhItkyoQ2ZULnGL4+ksC+09mcLjbi3ukOIo6/hv+Z3/EsOESpfx9Xh+gapnxI+xlObbC3RNlpdGrrU8QYNZHyCnNJeIqicMZkI73ERprRyin7Jd1YcT+r1Nagmhwt4O+hIcBDi8FDS4D9tnrfvt1d3e7voXUkSz72ZEkvCY9wgUu7d2ZdQjK70jM5VViMV6dZUpxeT/Jr3dpYSh2TDiYrYcRKC1WbEuHrzYCwEPZlZvNzYgo39+tJXsSlBGasJizpPyQPeM3VIbYcxQbZeyH5e8jYVGlUngaCB0KHSyDiQnVm8ZYIR1HILLWRWGTlZJGFxEL7dZGVk0XWenW16TQQrNcS6qklxFNLqKeOEKf7FdsMHhpHXY0QbUUHP1+GRISyOyOLNccTmT24nxSn11ObSKg2btzI+PHja9y3fft2hg8fDsDPP//MwoUL2b9/P76+vsycOZMlS5bg5lb7yxw3bhy//vqr07YbbriBTz/91HE/NzeXefPmsWrVKgCmT5/Om2++SUBAQCNfWQ1KMgAoxJt8fOji2yb+iUQlk7rEOBKq63p3I7PzXQRmrCYo9TPSei3C6hHo6hCbV2kOpKyF5DWOARaAOoVBx8kQdbE623gzURSFUyU2juabOZJv4Wi+hb/yLSSdJWnSAKGeWqK8dXTw1hHlrd6OtN+P9NISpNdKkiTOe5f16MLujCx+SUzlpr49pTi9ntrEr/WYMWNIT0932rZw4ULWr1/PsGHDANi3bx/Tpk3jiSee4KOPPiItLY27774bq9XKyy+/XOf558yZwzPPPOO47+XlvKzEzTffTGpqKmvXrgXgb3/7GzNmzGD16tVN8fKc2bv7TtrCAA2x0uXX5gzvEE6Qlyc5JaX8mpzGxNgLKPHrg1fhIYJTPiGz672uDrF5FCTCic8h9WdQLOo2N2/oMAFiLoWAHk3+lKVWhYO5Zg7mqcnTX/kWjhZYKKylhkkLdPTREeurI9bXjVi/itsdfXR4aCVZEmJAWDAx/n4kFxSyPjGZq7peRfRBdeZ0/6wNFIRNdHWIrVKb+LX28PAgIiLCcd9sNrNq1Srmzp3rqDH49NNPGTBgAE899RQA3bp144UXXuCmm25i0aJF+Pn51Xp+b29vp/NXdvjwYdauXcvWrVsZOXIkAO+//z6jR4/m6NGj9OzZs6lepqpSQbq/u4YgD/mCb2vctVou79GZ//15mG+PnGB8bDSZsXPotP8BQpPeJ7PLPefPX3iKos4VlfA5ZO2o2B7YR02iosY12bp3VkXhSL6FfTlm/rRf/iqwUFOjk5sGuvq50dNQceniJ0mTEPWh0Wi4tEcs/965nzXHT3JZ985kR99KeOI7RBx/TRKqWrSJhKqqVatWkZ2dzaxZsxzbTCYTnp6eTsd5eXlRWlrKrl27GDduXK3nW7FiBcuXLyc8PJypU6c6JWBbtmzBYDA4kimAUaNGYTAY2Lx5c60JlclkwmQyOe4XFBTU78XZu0iSlTA6y6LIbdakzjF8deg4p4qK2ZGWwZiON9DhyNN4GhPxz/yJgvA4V4fYOIoN0n+DYyvUhYcB0ELkBdD1ejWhaqRSq8LeHDM7s8vYnlXG7jNmiizVs6cQvZb+ge70CnCjV6XkSRInIc7dRTEdWLHvKNnGEramZeDZ9V5Ck97H78zv+OTuoDhwuKtDbHXaZEIVHx9PXFwc0dHRjm1xcXG89tprrFy5kuuvv56MjAyee+45gGrdhZXdcsstdO7cmYiICA4cOMCCBQv4888/+emnnwDIyMggLKz6yKOwsDAyMjJqPe8LL7zA4sWLG/7iHHNQhdFZCtLbLC93N6Z068SXh4/zzZEERnYYy5noGYSfeIuwxPfabkKlKOqcUUeXVSRSOk+ImQqdr2nUXFEWm8K+XDObTpfx+2kTf+aYKasyC6Wfm4YBQe4MCHJnYKB6HemllT88hGhiHjodk7vG8OXh43x/LJGx0WPJ6XgDISnLiTj2LxJGrHR1iK2OSxOqp59++qxJx44dOxx1UgCpqamsW7eOzz//3Om4yZMn89JLL3H33XczY8YM9Ho9CxcuZNOmTeh0tScmc+bMcdzu168f3bt3Z9iwYezevZshQ4YANQ9dVhSlzi/xBQsWMH9+xWiIgoICpwSwVpWmTBgqBelt2rTusaz66wTHc/M5kHUGfeydhJ14G0PWz+iLjmPy7ebqEBsmazcc/bBi2gM3b+hyLXS+Gjz8z+mUp4xWNmaY+D3DxB+ZZRRUqX0K9dQyIsSD4SHujAj1oKdBJroVoqVM6daJ/zt6gqNn8vjrTC76bv8gOGUFAafXtO9pYGrh0l/suXPncuONN9Z5TGxsrNP9ZcuWERwczPTp1SdJnD9/Pg888ADp6ekEBgaSlJTEggUL6Ny5c71jGjJkCO7u7hw7dowhQ4YQERHB6dOnqx2XlZVFeHjt83Ho9Xr0en29nxdQ//qvVEN1rbRQtWkGvZ4JnaP54fhJvjmSQP+LRpIfNpmAzHWEJr1Par+lrg6xfvIT4NA76pp6AFo9dLkKut6gzmbeAIqi8FeBhR/TTPx4qpT9uRan/f7uGsaGeXBhhJ4xYR508tFJ65MQLhLo6ckF0VFsPJnKd8eS6DFqMHmRlxOYvoqI46+RNOQ/rg6xVXFpQhUSEkJISP2HTyuKwrJly5g5cybu7u41HqPRaIiKUrsdVq5cSXR0tKOlqT4OHjyI2WwmMjISgNGjR5Ofn8/27dsZMWIEANu2bSM/P58xY8bU+7z1YsoFmwmrouGUEkJnaaFq86b36MK6hGT+PJ3Nidx8/Dv/jYDMdYQkf0xG94ex6Jtv+oBGKytUu/aSVgE20LpDp8ug2y3gGVTv0yiKwsE8C6uSS1iXZuJkccUixxpgSLA7F0fouSDcgwGB7rhJ7ZMQrcZlPWLZeDKVLanpZBt74d1tPoHpqwg69SWnej1OmXesq0NsNdrUL/aGDRtITEzkzjvvrHH/Sy+9xJQpU9BqtXz99df885//5PPPP3d0+aWlpTFhwgQ++ugjRowYQUJCAitWrGDatGmEhIRw6NAhHnzwQQYPHszYsWMB6N27N1OmTGHOnDm89957gDptwmWXXdb0I/zsBenpBGPGTSb1PA+E+XhzQXQkvyWf4psjCXQZNQGj/wC8C/YRfuJN0nqfQ51dc1Ns6jxSh9+Hsnx1W9Q46P038K55NGxNUootfJtcyjcnS0gorEiiPLRwQbieuA56LonUE+op/8+FaK06BxjoGxrEwawcfjiexIwBgykIGY9/9i+EJ7xJSv9XXB1iq9GmEqr4+HjGjBlD7969a9z/ww8/sGTJEkwmEwMHDuTbb79l6tSpjv1ms5mjR49iNBoBdTqGn3/+mddff52ioiKio6O59NJLWbRokVPd1YoVK5g3bx6TJ08G1Ik933rrraZ/geX1U7YwQvRa/N3Pk6H17dyVvbryW/Iptqamk17cE0PPBXTbcROhie9zust9rauVKu8o7H9NvQbw7QT971OXh6mHYouNVcmlfH2yhB3ZZsd2vRYmRnlyabQnF4V74Cv/t4VoMy7v0YWDWTn8dCKZ6/p0J737fPyzfyEkeTnpPR7FonfNklGtTZtKqD755JM692/YsKHO/bGxsShKRdFrdHR0tVnSaxIUFMTy5cvrF2RjyAi/81Ingz9DI8PYlZ7JqqMniBwylWLDIHzy9xKe8AZpfZ45+0mam80Mf30Ex1YCNrXgvMdt0Pkq0J79a+KvfDPLE0r4+mSJY2oDDTAmzIMrO3kypYMnfpJECdEmDYkMI8LHm4xiIz8mJDO9x4UUBQzDN28nYSfe4VTvp10dYqsg33CtiVEtfk9RQomV+qnzypU9uwKwISmV3FIT6T0XABCa9D5upixXhqZOf/D739U5pbCpa+yN/wi6XldnMlVmU/g2uYTrfznD5B/P8FGCkSKLQmdfHQsG+LHlslBWXBzEdbHekkwJ0YbpNBqu6q1+h31zJIESi5WM7g8CEJYUj9ac78rwWg35lmtN7Ov4pSkh0kJ1nukdEkjP4EAsNhvfHUsiPyyOYsNgdFYj4QmvuyYomxWOfQK/3aMmVR4GGLoIhjxZZ9F5scXGB38Vc9GaLO7fls/2bDM6DUzpoGf5RYH8PCWEu3r6EOEl/4eFOF+M79SRSF8fCsrK+O5YIvnhUyjx643OUkBY0geuDq9VkISqNTGqCVWqEioj/M4zGo2Gq3qpf+H9mHCSYouFU/ZWqrDED1q+lao4DTbfD0c+UNfdCx8L4+LVhYtrkWuy8erBQsZ+n8VzfxaSUWIjzFPLP/r48selobw7JpALwvWyeLAQ5yGdVsuNfdX1OFcdPUGh2UJGtwcACDvxbzTWEleG1ypIQtVaKFaUEvVHVVqozk9DI8Po6O+L0WLhx4RkCsImUxwwFK2thPDjr7VcIKc2wm93qRN0uvnAoMdg+DOgr7lVKrvUyrN7Cxj7fRavHyomr0wh1lfHP4f68/u0UP7R11dao4RoB8ZER9LJ4IfRYuHboyfIiboGk1cM7mVZhCS3QJ1xKycJVWtRmoNGsWBWdJwmkE4+0kJ1vtFqNFxlr6Va9dcJjBYLp3rYW6mS4nErrT6BbJOylsH+12HXM2AxQtAAtVUqejLU0KpUZLbx2sEiLv4hm/hjRoxWhb4Bbrw9KoCfp4RwYxdv9DppjRKivdBqNNzUT50u6PtjieSWWTjdbR4A4QlvqINb2jFJqFoLe3dfuhJEuJc7Xm7yQ3U+uiAmiihfHwpMZfzf0RMUhE2kKGAYWlsJEQlvNN8Tl2bDlvmQ9K16v9vNMPoV8Ko+3NlsU/j4uJFxP2Tz2qEiii0KAwLd+N+FgXw3MZhLoz1l+Rch2qlhkWF0DwqgzGrj68MJZEffitkjFH1JMiHJH7s6PJeShKq1KFFbJ9KUUGL9pHXqfOWm1TJjQC8AVh89wZmS0koj/pqplSr3kFp4nnsI3H1hxPPQezZonbvpFEXhh9RSJq3LZuGeArJNNmJ9dbw9KoBvJwRzcYReloERop3TaDTcbG+l+vFEMpkmSO/xMABRR59Hay5wZXguJQlVa+EoSA8h1lfqUc5nw6PC6R0SRJnNxicH/qIgdAJFgcPtrVRNPOIv7WfY/ACYzqiTdF74bwgfVe2w5CILt2/K5Z4teSQVWQnRa3l2sD8/xYVwabSnJFJCCIcB4SH0Cw3GYrPxxaFjZHW6g1KfbriXZRFx/FVXh+cyklC1FiUVI/w6yQi/85pGo+G2geps/7+eTCUxv8BRS6W2UmU0/kkUBf5aDruXqHUN4WPhwrfBp4PTYWU2hbcPFzFpXTYbM8rw0MJ9vX3YODWEGd28cZd19YQQNbi5v9pK9UtSKqeKTaT2eRaA8BPv4G5McWVoLiMJVWthn9QzjRA6+UgL1fmue1AAY6OjUICP/jxCQch4igJHoLWVNv4vPJsV/nwZjn6o3u9yHQx/Wp39vJJtWWVM+zGblw4UYbKps5r/MDmEB/v5ydIwQog69QwOZGhkGDZF4dODx8gPn0ph8IVobaV0ONIKVn9wAfnWbC3sNVSpSijR0uXXLtzSvyduWi37MrPZm5nNqZ6PAxCW9AH6wr/O7aTWMtj5NKT8AGih3zzoew9oKv5PlVgUntydzw0bczheqHbvvTbCwIqLAukq9XtCiHq6qZ86L9UfKadIyi8kpc9zKGgITvsc79xdLo6u5UlC1RooNhRjRUIlLVTtQ7iPN9O6dQLgf38eJi/4YvLCp6BRLMQceFjttmsIczFsewxO/wFadxi+GDpf6XTIgVwzl63PZnmCOgnfzV28+HlKCFd28pI6KSFEg3QOMDA2OhKATw/+RUnAIHI63ghAx0NPNPw7rI2ThKo1MOWiUcxYFQ1mj2DpbmlHrundHV93d1IKivglKZWUvi9g0+rxz95IQMbq+p+orBC2PgRn9qpdeyOXQsRYx26bovDukSKu+vkMCYVWwj21LL8okOeHGjB4yP83IcS5uaFvD7TAjlOnOZSVQ1qvhdi0XvjlbGnYd9h5QL5JW4PyOagIJspH7+JgREvy9XDn2j7dAPUvvHx9DBld7weg48HH0ViMZz9JWQFsfRjyjoK7P4z+F4QMcuw+ZbRyy6+5/HN/EWYF4jroWTs5hAvC5f+aEKJxOvj5MqFLDADv7z5AiT6SjK73qfsOPYXGVubK8FqUJFStQaVFkTtJ/VS7M6VrJ8J9vMktNbH66Akyuj2AySsafUkKkcf/VfeDywpgy0OQ/xd4BMCYf0FAD8fuX9JNTP0xmy1ZZXjpNCwd5s+7owMI1MtHXwjRNG7p1xN/Dw+SCwr57lgip7vdj1kfjqcxkdDE910dXouRb9XWwFE/FUKMJFTtjrtOx6391ck+vz16ghyzltS+zwMQnvA6+uKEmh9oLoatj0DBcfAIhDGvgH8XQO3ie+1gEXdsyiXfrM50/v2kYG7o7C21UkKIJuWn92CmfSqYzw8eI8OkJa3nEwBEHluKrizHleG1GEmoWoNKI/xiZA2/dml0xwh6BAVQarXyyYGj5EVcTkHIeLS2MjoefLz6AyylsP1xe8uUQU2m/DoDUGi2MeePPF47VIQC3NrViy/GB9NFRvAJIZrJuE4d6BMShMlq5cO9hzgTcytGv764mfOJ/OtFV4fXIiShag2M0uXX3lWe7HNDUioHsnJI7v8SNo07AafXYji9tuJgm1mdGiFnP7j5wKgXwS8WgJRiC9duyOHndBN6Lbw83MBzQwyyiLEQollpNBr+NrQfOo2GHadOs/1UFql9nwMgLOl9PAuPuDjC5icJVSsgUyYIgF4hQUy2F3e+s3Mf+Z6dyezydwCiDzyKxloKig32LoWs7aDzhJEvgKE7ALuyy7jy5xyOFlgI89Tyxfhgro31ctnrEUK0L9H+flzRUy07iN9zkMzAi8gLn4pGsRC79+9gs7g4wuYlCZWrKQqKvSg9WxNGqKf8k7RnMwb0ItjLk9PFRlYe+Iv0Hg9T5hmJ3phEeMKbcOQDSNugTtQ5bDEE9QNgXVopN/+awxmTjb4Bbnw7IZgBQe4ufjVCiPbm2t7dCfP2IruklC8OHSO5/ytY3fzxydtF+Im3XR1es5Jfb1cry0VrK8OmaHD3DpOC4XbO292du4f2B+D7Y4kczreQ2kdtNo/6659w/FP1wIEPQdhwAFYkGLlncx4mG0yM1PPF+CAivaWlUwjR8vRuOmYP6QvA6r8SOV7mR4p9kE3U0SXnvgpEGyAJlavZu/tOE0jU/7d359FR1ff/x593wmTIOiSZrBAWWQMJ4UsiQhBBtAEkAj/an6AWoSgWFRVFf5VqFWwV3Kh1O9aKfNVjia2V1hZFUXYxLDFssggSSMCEAMbse+7vj+DUmADRkLlJeD3OmXOYez/zmffNx0lefu6dzw3QukACgyPDGNWtMybw0rZdnAifRFHI5Rjmmenyvr+C6DGYpsnze4t58PNCaoGpPXx4OakTvh30sRYR6yREhnNZ5whqTZNX0vdwssuNFIReha22gu477wCzxuoSW4R+81qt7HtLJuj6KTljxqD+dHI4OFZUzN/3HSIrbgkVPl3hkl9A719imiZP7SnmmS+KAbgrxo9FCYF0sGmGU0Ssd/Og/nTs4MX+0/msOXqMowP/RE2HAPzztxJ2+GWry2sRClRW0zf8pBEB3t7MOjNt/s8Dh9lbHcGeq3fDgNsxgUd3FvHS/hIAHooP4N7YAJ0uFpFWI8TXh6kD6hYZfnPXfk7awjjW//cAdN7/KI7is6yv14YpUFmtLA+Ar00XXf21TpD819AukQzrEkmtafLitl1U19ZimiYLdxSx7GDdLWl+PziQW/r4WVypiEhD1/TqTo9OgRRXVvHc1h3kRU+n0DUKW2053XbeUfet5XZEgcpipjtQhWjJBGnglv8ZQIC3nSMFhfxz/1cs2lXE/x6qC1NPJAYyraevxRWKiDTOy2bj7ssG4e1lY+eJU/z7YCZH45+jxsufgG8+IzTzFatLvKAUqCxWXVoXqHLNEDorUMkPdOroYOagulN/qV98yStf1oWpxxMCmdJDYUpEWrfowAD377C3dh9gb7mTY/0XAtB5/0K8Sw5bWd4FpUBltbKTAFQ7QvHWBcXSiBFdo0iIDMM88/yRQQHccInClIi0DVf3iGZYl0hqTJMlaRlkRU2jMGQEXjWldN95Z7s59adAZaXqcuzVBQDY/cMtLkZaK8MwuC0xjqQukTyRGMiveuuaKRFpOwzD4LaEOEJ9fThRUsorGXs5MvB5arx8CTi9qd3c60+BykrldbNTJaYDl1+gxcVIaxbUsSPzhg3WaT4RaZP8vO3MvWwQNsNgY9bXfHTKTlbcEgAiv1xM4ImPLK6w+RSorHTmdN/Xposu+oafiIi0Y/1cwUwZUHfv0Vc/38OeTteS1+1mDEx6ZNyCd0mmxRU2jwKVlc4s6pljBtNFF6SLiEg793/69SI2NITymhqWpGWQGfMYxUGX0qGqgJ7bp2FUl1pd4k+mQGWl8u9mqEIUqEREpN3zMgzuumwQAd52Mr8t5M0vMjmc8DpV3qH4Fu6m2+57wDTP31ErpEBlodoz9/H72nQRrUAlIiIXgRCfjsy5NB6A/xzM5OM8k8MJyzANL0KOpRJ69FWLK/xpFKgsVFFStwbVSSOYUIeGQkRELg6JUeFM6nsJAC9t380Wsz/HYurWp+qyZz5+32y1sryfpE38FV+3bh2GYTT62LZtm7vdJ598QlJSEgEBAURGRvKb3/yG6urqs/Z75MiRs/b797//3d2ue/fuDfY/8MADzT4u88yinlWOMN2HTURELio3xvVjaOcIqmtrefLTdDJCZ/BN5CRsZhWXpN9Eh4o8q0v8UdpEoEpKSiInJ6fe45ZbbqF79+4kJiYCsGvXLq655hrGjh1LRkYGqampvPfee+cMPtHR0Q36XbhwIX5+fowbN65e20cffbReu4ceeqh5B2Wa2CvrrqGy+YY1ry8REZE2xnbmeqrewZ0orqrisU3b2R2zhDL/vniX53DJ9hkYNRVWl9lkbSJQeXt7ExER4X6EhITw3nvvMXPmTPfMTmpqKgMHDuThhx+mV69ejBw5kkWLFvHiiy9SVFTUaL9eXl71+o2IiGDFihVMmTIFf3//em0DAgLqtfvh/h+tqhh7bTkAPv4KVCIicvFxeHkxf3giYX51i34+vuUA+we/Tk2HAAK++ZTuGbeCWWN1mU3SJgLVD7333nucOnWKGTNmuLdVVFTQsWPHeu18fHwoLy8nPT29Sf2mp6ezY8cObr755gb7nnjiCUJCQhg0aBCPPfYYlZWV5+yroqKCwsLCeo96ztwU+bQZQKS/FmsUEZGLk7OjgwcvvxQ/ewcOnM7nqb1lHEp4g1rDTnDOP+m6q218869NBqqlS5cyZswYoqOj3dvGjBnD5s2bWb58OTU1NRw/fpw//OEPAOTk5DS535iYGJKSkuptv/vuu0lNTWXt2rXMmTOHZ599lttvv/2cfS1atAin0+l+fL9WAMrrAlWOlkwQEZGLXJfAAP5fUiIdDIPNx3J4+UQUmYNfxcRGaNbrdN6/wOoSz8vSQLVgwYKzXhT+3WP79u31XnPs2DE+/PDDBrNIycnJPPXUU8yePRuHw0GfPn0YP348UHdq73zKysr461//2ujs1D333MPIkSMZOHAgt9xyCy+//DJLly7l9OnTZ+1v/vz5FBQUuB/Z2dk/eMO6QKU1qERERCA2LITbEgcCsGL/V/y9fDBHBz4LQMShZwk/9Kx1xTWBpfc7mTNnDlOnTj1nm+7du9d7vmzZMkJCQpgwYUKDtvfeey/33HMPOTk5BAUFceTIEebPn0+PHj3OW8s777xDaWkpN91003nbDh06FIBDhw4REhLSaBuHw4HD4ThrH9UleXSgLlAl+Om2MyIiIqO6d+FESSl/23uQVz7fQ8chV/OLmEfpsu9huux7hGp7EKe7Tbe6zEZZ+pfc5XLhcrma3N40TZYtW8ZNN92E3W5vtI1hGERFRQGwfPlyoqOjGTx48Hn7Xrp0KRMmTCA0NPS8bTMyMgCIjIxscu0/VF58An/gpOEi2FtLJoiIiABc1783p8vK+SQzm+e27KBmyM+5sdc3RBx6lm675lJjd/Jt1CSry2ygTU2NrFmzhszMzEZPywE89dRTjB07FpvNxrvvvsvixYv529/+5j7ld/z4ca666ireeOMNhgwZ4n7doUOH2LBhA++//36DPj/77DPS0tK48sorcTqdbNu2jXvuuYcJEybQtWvXn3wsNWdO+VV5h2oNKhERkTMMw2B2QhwG8HFmNi9s3UlNws38qms+oVmv0+PzWzhkD6QodLTVpdbTpi5KX7p0KUlJScTExDS6/4MPPmDEiBEkJiaycuVK/vWvfzFp0iT3/qqqKg4cOEBpaf2bL7722mt07tyZ5OTkBn06HA7efvttRo0aRf/+/Xn44YeZNWsWy5cvb9axeJ25jx9ag0pERKQem2Hw64Q4xvbshgm8lL6bpf73uBf+7LX1BgJPfGR1mfUYptkGvovYDhQWFuJ0OilYt45APx9q/jMOL6p5Ovwv3Dekp9XltTrpJFhdQquUQNOWABER+Sla2+9e0zRZtnMvKw8eAeDX8b25Lf8hOuV9iGl4cST+Jb6JPve12M1VXFzIqFFOCgoKCAwMPGu7NjVD1W5U5ONFNTWmQafA81+zJSIicjEyDINfxfdnQp+6+/79eedBnu/0B053noJh1tBjx68J++p5i6uso0BlhbK60325BNPZ39viYkRERFovwzC4aWA/JverO5uzdNdB/uRzP7mX3AFA9N6H6Lz3d5Yv/qlAZYUyLeopIiLSVIZhcENsX67r3xuAN/Z8ycNlU8nqtwCAiK+eo9vOO6C22rIaFagsUFVyAoAcM5hoBSoREZHzMgyDKQP6MD0+BgP4KDOb244PZf+AP2EaXriy36Ln9hsxqkvP21dLUKCyQElR3QzVKcOF064lE0RERJpqQp9LmH95Ij4dOvDFyW+Yvr8baf1fpdbWkU4nVtEnbQL2sq89XpcClQUqS08BUGEP0RpUIiIiP1JCZDiPj04i3M+XEyWlzNzpx797v0a13Yl//jZiNlxBwKn1Hq1JgcoKZ9agMn30DT8REZGfoqszgMVXDWdAaDBl1dXM3QnPdX6D0sBY7JUn6f3ZJCIOPg1mrUfqUaCygKOy7qbKdp+m33ZHRERE6gt0ePO7Ky7jZ5d0xQSe21/CnY4lnOh8Awa1dN7/e3puux6vyvwWr0WBytPMWvxqvgHA118zVCIiIs1ht9n49eBYbv6fAdgMg0+yT3Ft7v8l7ZLF1NocdDqxipiNI/H5dkeL1qFA5WlVBXSgmlot6ikiInJBGIbBNb26s3DkUEJ9fcgrKeOGvV35Y/grlPt0w1F6lH6fJuM68mqLrVelQOVpZXWn+07hJNJPi3qKiIhcKP1Dg1mSPIJR3bpQCzyfaWeK+QQ5IT/DVltBt93z6P3ZtXiXHL7g761A5WE15XWBKtcMorOv1qASERG5kHztdu4cEs99wwbj721n57e1jMr9FR+F3UeNzYfA0xsZsC6JsK9eBLPmgr2vApWHFRXVLZmQRzCujvrxi4iItIRhXSL5Y/IVxIe7qKiBW7MGc7vvS5zqNAxbbRnRe39L30/H0LFo/wV5P/1F97CykrolE4q8QrBpDSoREZEWE+zTkYdGDOHmQf3xttn48JSDYSfmkBr8ANVe/mfWrBpBxJdPQm1Vs95LgcrDqs9cQ1VhD7G4EhERkfbPZhhc07sHfxxzBYmRYVSZBg98PZDxNUs4HDASW20lnQ88Rv/1w3GeWPWTL1pXoPIwo7zulF9tR61BJSIi4ikR/n7Mv/xSfnv5pUT4+3Kg3J/RJ29lseM3VHQIxqf4AL22TqHPZ9fi++3nP7p/BSoPc1TVrUFl99WSCSIiIp6WEBnGs8lXcGNsXxxeHXi5IJ4hxU/wgd8N1NgcBJzeSMzGK+nx+c14lx5tcr8KVB7mV1O3Wquvf5jFlYiIiFyc7F5eTI7pxXNjRzI8OpIC/LjtdAqjyp7mM58xmBgEH3+HAWsTidr/aJP6VKDyMF/KAHAGKlCJiIhYyeXrw71DB/PYlcMYGOYi2wzh+vzpTKx8jL3eCdhqKwk/8kqT+urQwrVKIwpNHyIC/K0uQ0RERIB+rmAeGXkZ+059w9++OMiuPLim8F5Ge+3ifq9UYPd5+1CgskCuGUwXX00OioiItCYxPwhWa/LiWVPRE5h63tcqUFngtBFMnw4KVCIiIq3R94PVW+k7aMql6fqrboHiDlqDSkREpLWLcQXzwPDEJrVVoLJAhV1rUImIiLQnClRW0KKeIiIi7YoClQU6aFFPERGRdkWBygJ+WtRTRESkXVGgskCnQM1QiYiItCcKVB5WaXoR7gyyugwRERG5gBSoPCyPIFw+Wv5LRESkPVGg8rBvjSBshmF1GSIiInIBKVB5WKlXsNUliIiIyAWmQOVhFd4KVCIiIu2NApWHZXcaZXUJIiIicoEpUHnYL+JirC5BRERELrA2E6i+/PJLJk6ciMvlIjAwkOHDh7N27dp6bbKysrj22mvx8/PD5XJx1113UVlZec5+KyoquPPOO3G5XPj5+TFhwgSOHTtWr01+fj7Tpk3D6XTidDqZNm0a33777U86Dm+bLkgXERFpb9pMoBo/fjzV1dWsWbOG9PR0Bg0aREpKCrm5uQDU1NQwfvx4SkpK2LRpE6mpqfzjH/9g3rx55+x37ty5rFixgtTUVDZt2kRxcTEpKSnU1NS429xwww3s2LGDVatWsWrVKnbs2MG0adNa9HhFRESk7TBM0zStLuJ8Tp06RWhoKBs2bGDEiBEAFBUVERgYyMcff8xVV13FBx98QEpKCtnZ2URFRQGQmprKjBkzyMvLIzAwsEG/BQUFhIaG8uabbzJlyhQAvv76a6Kjo3n//fcZM2YM+/bto3///qSlpXHZZZcBkJaWxrBhw9i/fz99+/Zt0jEUFhbidDopWLeOQH//C/FjadfSSbC6hFYpgXSrSxCRdky/exsqLi5k1CgnBQUFjWaJ77SJGaqQkBBiYmJ44403KCkpobq6mj//+c+Eh4eTkFA3+J999hmxsbHuMAUwZswYKioqSE9v/I9Qeno6VVVVJCcnu7dFRUURGxvL5s2b3f06nU53mAIYOnQoTqfT3UZEREQubm1iyW7DMFi9ejUTJ04kICAAm81GeHg4q1atolOnTgDk5uYSHh5e73VBQUF4e3u7Twv+UG5uLt7e3gQF1b8VTHh4uPs1ubm5hIU1vJlxWFjYWfuFumuzKioq3M8LCwubdKwiIiLS9lg6Q7VgwQIMwzjnY/v27Zimye23305YWBgbN25k69atTJw4kZSUFHJyctz9GY2sQG6aZqPbz+WHr/kp/S5atMh9EbvT6SQ6OvpH1SAiIiJth6UzVHPmzGHq1KnnbNO9e3fWrFnDf/7zH/Lz893nL1966SVWr17N66+/zgMPPEBERARbtmyp99r8/HyqqqoazFx9JyIigsrKSvLz8+vNUuXl5ZGUlORuc+LEiQavPXny5Fn7BZg/fz733nuv+3lhYaFClYiISDtlaaByuVy4XK7ztistLQXAZqs/oWaz2aitrQVg2LBhPPbYY+Tk5BAZGQnARx99hMPhcF9n9UMJCQnY7XZWr17NddddB0BOTg579uzhySefdPdbUFDA1q1bGTJkCABbtmyhoKDAHboa43A4cDgc5z02ERERafvaxEXpw4YNIygoiOnTp7Nz506+/PJL7r//fjIzMxk/fjwAycnJ9O/fn2nTppGRkcEnn3zCfffdx6xZs9yzWsePH6dfv35s3boVAKfTyc0338y8efP45JNPyMjI4Je//CVxcXFcffXVAMTExDB27FhmzZpFWloaaWlpzJo1i5SUlCZ/w09ERETatzYRqFwuF6tWraK4uJjRo0eTmJjIpk2b+Ne//kV8fDwAXl5erFy5ko4dOzJ8+HCuu+46Jk2axNNPP+3up6qqigMHDrhnvAD++Mc/MmnSJK677jqGDx+Or68v//73v/Hy8nK3eeutt4iLiyM5OZnk5GQGDhzIm2++6bkfgIiIiLRqbWIdqvZA61D9OFoLpXFah0pEWpJ+9zbUrtahEhEREWnNFKhEREREmkmBSkRERKSZ2sRK6e3Bd5eqFZaUWFxJ21CMVpZvTCHFVpcgIu2Yfvc2VFJS9zM53yXnClQecvr0aQCizyzzICIiIm1HUVERTqfzrPsVqDwkODgYgKysrHMOiHjed6vYZ2dnn/MbHOJ5GpvWS2PTemlsLizTNCkqKiIqKuqc7RSoPOS7Vd6dTqf+A2+lAgMDNTatlMam9dLYtF4amwunKRMhuihdREREpJkUqERERESaSYHKQxwOB4888ohumNwKaWxaL41N66Wxab00NtbQrWdEREREmkkzVCIiIiLNpEAlIiIi0kwKVCIiIiLNpEAlIiIi0kwKVB7w0ksv0aNHDzp27EhCQgIbN260uqSLzoIFCzAMo94jIiLCvd80TRYsWEBUVBQ+Pj6MGjWKL774wsKK268NGzZw7bXXEhUVhWEY/POf/6y3vyljUVFRwZ133onL5cLPz48JEyZw7NgxDx5F+3W+8ZkxY0aDz9LQoUPrtdH4XHiLFi3i0ksvJSAggLCwMCZNmsSBAwfqtdFnx1oKVC3s7bffZu7cuTz44INkZGQwYsQIxo0bR1ZWltWlXXQGDBhATk6O+7F79273vieffJIlS5bwwgsvsG3bNiIiIvjZz35GUVGRhRW3TyUlJcTHx/PCCy80ur8pYzF37lxWrFhBamoqmzZtori4mJSUFGpqajx1GO3W+cYHYOzYsfU+S++//369/RqfC2/9+vXccccdpKWlsXr1aqqrq0lOTqakpMTdRp8di5nSooYMGWLOnj273rZ+/fqZDzzwgEUVXZweeeQRMz4+vtF9tbW1ZkREhLl48WL3tvLyctPpdJovv/yyhyq8OAHmihUr3M+bMhbffvutabfbzdTUVHeb48ePmzabzVy1apXHar8Y/HB8TNM0p0+fbk6cOPGsr9H4eEZeXp4JmOvXrzdNU5+d1kAzVC2osrKS9PR0kpOT621PTk5m8+bNFlV18Tp48CBRUVH06NGDqVOncvjwYQAyMzPJzc2tN04Oh4ORI0dqnDysKWORnp5OVVVVvTZRUVHExsZqvDxk3bp1hIWF0adPH2bNmkVeXp57n8bHMwoKCgAIDg4G9NlpDRSoWtCpU6eoqakhPDy83vbw8HByc3MtquridNlll/HGG2/w4Ycf8pe//IXc3FySkpI4ffq0eyw0TtZryljk5ubi7e1NUFDQWdtIyxk3bhxvvfUWa9as4ZlnnmHbtm2MHj2aiooKQOPjCaZpcu+993L55ZcTGxsL6LPTGnSwuoCLgWEY9Z6bptlgm7SscePGuf8dFxfHsGHD6NmzJ6+//rr7glqNU+vxU8ZC4+UZU6ZMcf87NjaWxMREunXrxsqVK5k8efJZX6fxuXDmzJnDrl272LRpU4N9+uxYRzNULcjlcuHl5dUg+efl5TX4vwjxLD8/P+Li4jh48KD7234aJ+s1ZSwiIiKorKwkPz//rG3EcyIjI+nWrRsHDx4END4t7c477+S9995j7dq1dOnSxb1dnx3rKVC1IG9vbxISEli9enW97atXryYpKcmiqgTqvjq8b98+IiMj6dGjBxEREfXGqbKykvXr12ucPKwpY5GQkIDdbq/XJicnhz179mi8LHD69Gmys7OJjIwEND4txTRN5syZw7vvvsuaNWvo0aNHvf367LQCll0Of5FITU017Xa7uXTpUnPv3r3m3LlzTT8/P/PIkSNWl3ZRmTdvnrlu3Trz8OHDZlpampmSkmIGBAS4x2Hx4sWm0+k03333XXP37t3m9ddfb0ZGRpqFhYUWV97+FBUVmRkZGWZGRoYJmEuWLDEzMjLMo0ePmqbZtLGYPXu22aVLF/Pjjz82P//8c3P06NFmfHy8WV1dbdVhtRvnGp+ioiJz3rx55ubNm83MzExz7dq15rBhw8zOnTtrfFrYbbfdZjqdTnPdunVmTk6O+1FaWupuo8+OtRSoPODFF180u3XrZnp7e5uDBw92f81VPGfKlClmZGSkabfbzaioKHPy5MnmF1984d5fW1trPvLII2ZERITpcDjMK664wty9e7eFFbdfa9euNYEGj+nTp5um2bSxKCsrM+fMmWMGBwebPj4+ZkpKipmVlWXB0bQ/5xqf0tJSMzk52QwNDTXtdrvZtWtXc/r06Q1+9hqfC6+xMQHMZcuWudvos2MtwzRN09OzYiIiIiLtia6hEhEREWkmBSoRERGRZlKgEhEREWkmBSoRERGRZlKgEhEREWkmBSoRERGRZlKgEhEREWkmBSoRERGRZlKgEpGL1oIFCxg0aJBl7/+73/2OW2+9tUlt77vvPu66664WrkhEfiqtlC4i7ZJhGOfcP336dF544QUqKioICQnxUFX/deLECXr37s2uXbvo3r37edvn5eXRs2dPdu3a1eDGuCJiPQUqEWmXcnNz3f9+++23efjhhzlw4IB7m4+PD06n04rSAHj88cdZv349H374YZNf8/Of/5xevXrxxBNPtGBlIvJT6JSfiLRLERER7ofT6cQwjAbbfnjKb8aMGUyaNInHH3+c8PBwOnXqxMKFC6murub+++8nODiYLl268Nprr9V7r+PHjzNlyhSCgoIICQlh4sSJHDly5Jz1paamMmHChHrb3nnnHeLi4vDx8SEkJISrr76akpIS9/4JEyawfPnyZv9sROTCU6ASEfmeNWvW8PXXX7NhwwaWLFnCggULSElJISgoiC1btjB79mxmz55NdnY2AKWlpVx55ZX4+/uzYcMGNm3ahL+/P2PHjqWysrLR98jPz2fPnj0kJia6t+Xk5HD99dczc+ZM9u3bx7p165g8eTLfP4kwZMgQsrOzOXr0aMv+EETkR1OgEhH5nuDgYJ577jn69u3LzJkz6du3L6Wlpfz2t7+ld+/ezJ8/H29vbz799FOgbqbJZrPx6quvEhcXR0xMDMuWLSMrK4t169Y1+h5Hjx7FNE2ioqLc23Jycqiurmby5Ml0796duLg4br/9dvz9/d1tOnfuDHDe2S8R8bwOVhcgItKaDBgwAJvtv/+vGR4eTmxsrPu5l5cXISEh5OXlAZCens6hQ4cICAio1095eTlfffVVo+9RVlYGQMeOHd3b4uPjueqqq4iLi2PMmDEkJyfzi1/8gqCgIHcbHx8foG5WTERaFwUqEZHvsdvt9Z4bhtHottraWgBqa2tJSEjgrbfeatBXaGhoo+/hcrmAulN/37Xx8vJi9erVbN68mY8++ojnn3+eBx98kC1btri/1ffNN9+cs18RsY5O+YmINMPgwYM5ePAgYWFh9OrVq97jbN8i7NmzJ4GBgezdu7fedsMwGD58OAsXLiQjIwNvb29WrFjh3r9nzx7sdjsDBgxo0WMSkR9PgUpEpBluvPFGXC4XEydOZOPGjWRmZrJ+/Xruvvtujh071uhrbDYbV199NZs2bXJv27JlC48//jjbt28nKyuLd999l5MnTxITE+Nus3HjRkaMGOE+9ScirYcClYhIM/j6+rJhwwa6du3K5MmTiYmJYebMmZSVlREYGHjW1916662kpqa6Tx0GBgayYcMGrrnmGvr06cNDDz3EM888w7hx49yvWb58ObNmzWrxYxKRH08Le4qIWMA0TYYOHcrcuXO5/vrrz9t+5cqV3H///ezatYsOHXT5q0hroxkqERELGIbBK6+8QnV1dZPal5SUsGzZMoUpkVZKM1QiIiIizaQZKhEREZFmUqASERERaSYFKhEREZFmUqASERERaSYFKhEREZFmUqASERERaSYFKhEREZFmUqASERERaSYFKhEREZFm+v8yKzwtkrfDTgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "\n",
    "for emset in [400, 200]:\n",
    "\n",
    "    emccd.time_syn(0, initial=True)\n",
    "    emccd.emgain_set(emset)\n",
    "\n",
    "    times = []\n",
    "    temps = []\n",
    "    imgs = []\n",
    "    emgains = []\n",
    "    def capture_n_frame(n, expt, reading=True):\n",
    "        for _ in range(n):\n",
    "            emccd.time_syn(expt + emccd.readout_time, readout=reading)\n",
    "            temps.append(emccd.ccd_temp)\n",
    "            times.append(emccd.system_time)\n",
    "            emgains.append(emccd.emgain)\n",
    "        return times[-1]\n",
    "\n",
    "    \n",
    "    t1 = capture_n_frame(100, 0.001, reading=True)\n",
    "    t2 = capture_n_frame(10, 3, reading=False)\n",
    "    t3 = capture_n_frame(100, 1, reading=True)\n",
    "    t4 = capture_n_frame(10, 3, reading=False)\n",
    "\n",
    "    plt.plot(times, temps, label=f'emset={emccd.emset}, emgain={np.mean(emgains):.0f}')\n",
    "\n",
    "plt.xlabel('Time (s)')\n",
    "plt.ylabel('Temperature (℃)')\n",
    "\n",
    "t0 = 0\n",
    "#画四块背景区域,用红蓝背景颜色,区分4个范围,四个区域的分割点分别是t0 - t4\n",
    "plt.axvspan(t0, t1, color='r', edgecolor=None, alpha=0.2, linewidth=0)\n",
    "plt.axvspan(t1, t2, color='b', edgecolor=None, alpha=0.2, linewidth=0)\n",
    "plt.axvspan(t2, t3, color='r', edgecolor=None, alpha=0.2, linewidth=0)\n",
    "plt.axvspan(t3, t4, color='b', edgecolor=None, alpha=0.2, linewidth=0)\n",
    "plt.xlim([0, t4])\n",
    "\n",
    "#两个红色的区域标上曝光时间1ms和曝光时间1s,text的位置使用相对图片的定位方式\n",
    "plt.text((t0 + t1)/2, -78, 'exposure time\\n1ms', fontsize=12, color='r', ha='center')\n",
    "plt.text((t2 + t3)/2, -78, 'exposure time\\n1s', fontsize=12, color='r', ha='center')\n",
    "plt.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CTE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "emccd = CpicVisEmccd()\n",
    "emccd.switch['bias_vp'] = False\n",
    "emccd.switch['bias_hp'] = False\n",
    "emccd.switch['bias_ci'] = False\n",
    "emccd.switch['bias_shift'] = False\n",
    "emccd.bias_level_std = 0\n",
    "emccd.readout_noise = 0\n",
    "emccd.em_cte = 0.9996\n",
    "emccd.emreg_cal_num = 10\n",
    "emccd.cic = 0\n",
    "\n",
    "pinhole = np.zeros(emccd.flat_shape)\n",
    "pinhole[512, 512] = 10000\n",
    "cici = emccd.readout(pinhole, 1024, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "fits.writeto('cici.fits', cici, overwrite=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[200., 200., 200., 200., 200., 200.],\n",
       "       [200., 200., 200., 200., 200., 200.],\n",
       "       [200., 200., 200., 200., 200., 200.],\n",
       "       [200., 200., 200., 200., 200., 200.],\n",
       "       [200., 200., 200., 200., 200., 200.]])"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cici[535:540, 514:520]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1ff1401e0d0>"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(emccd.cti_trail, label='theoretical')\n",
    "cic_row = cici[514, 536:546].astype(float)  - emccd.bias_level\n",
    "plt.plot(cic_row/cic_row.sum(), label='cte trail in image')\n",
    "\n",
    "plt.xlabel('pixel')\n",
    "plt.ylabel('DN counts')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}