{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 1\n",
    "\n",
    "A time dependent signal is described by the relation:\n",
    "\n",
    "\\begin{equation}\n",
    "s(t) = \\sin{(0.01*t)} + 3 \\cos{(0.03*t)}\n",
    "\\end{equation}\n",
    "\n",
    "The signal is sampled for a total period $T=1000$ at time intervals $\\Delta t = 1$. The final data stream can be written as a vector with entries $d_i = d(t_i) = s(t_i) + n(t_i)$, where $t_i$ are the sampled times and $n_i \\equiv n(t_i)$ is an instrumental noise component. The noise coefficients are independent Gaussian random variables with variance $\\sigma = 2$. \n",
    "\n",
    "\n",
    "1. Write a function that generates simulated data and plot one data vector.\n",
    "\n",
    "2. Now generate $10$ simulated data vectors and plot the average $\\langle d_i \\rangle$ over these ten realizations.\n",
    "\n",
    "3. Consider again a single realization. You now want to produce a smoothed version of the signal, by convolving it with a Gaussian filter with $\\sigma = 2$. Write a function that generates this Gaussian window in the sampled points, then generate the smoothed signal using fft algorithms and produce a plot that shows both the starting data vector and the smoothed one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1000\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CaFWX9ijjoyFfgY+Loy0sfJFf2YYi4zOsMwU4xDjUaIdRT9MsisQFxyEq8RFNdVHgozUKfDQk7vtwSf9MzP3TcOH7jASHJPD5dM1RlNfQNAtPvgu7mhmfjX+bgCUPX4CspGiPn4ViNQchaqiqD/6EScvZlWkRjAjL2SnjozkKfDQkzvj86bwuGNktDd9MHwUAsNtskl3Hn/p2Fx79apvmY2SVvFmYWqu6ACAtzoGu6XGKP2ugLBxhlBqrgX7eVSDZ9Je4iaefbAjVqi73Ma3JxdFGpRqjwEdDjvAw0dfulz6yeTn16fI6HJPtpvzzrkLtBsc4vucFz9sGo2qjkwJhVWtL0aeP9exKLvfDjgLc+OFatYZkGuLPfaimusR7BdJ0l7Yo8NFQVIRd9LX7TR8e5v1TpdaSbTOQT3WpsV2Fkn4dpEvaaxvoSoywqaaVqS7xhZYvm4+XUX2hjDTjExqR4XahgSpNd2mLAh8NiZez8xmfMB+dg2NCtAmnEckDn+xkz3ocNSy4a6Tke8r4EFa1lvG5fliO349VWkMbl4ppFYhECyu7aEm7lijw0VCkqEswfzUWYff+J4gNwZJtoxJfvX4zfVTIuqnKa4nohEBY9NnaY/jvmqNef35xv0y0S4jCS1f3R4ekaMy+bRi6pMd6vX9dg8vvzU6tQDL1FKq5LtBGpXqhwEdDEaJpLT7FGeZjqisUS7aNShwE9m4fr9nzvvD9HjohEKacqazH377Z6XPFIZ9Jvm5YR6x6fBzG9myHz24f7vX+h85UYcgLizHrx71qD9eQajWY6gKA1Dh3rWJBeV0In4XIUeCjoaSYSNx8bidMHd4Ryc1dgn1tkkkZH/fO9o1OF5buOwMAuOO8XL9rF9Syr6BS0+cjxJcyP7KQSjGR+EIqQnbB9dJPe1FW04j3lh8KdniG53JxkozPPWO7hey5ema4V5NuOFaCyjpqX6IVSiloTL5RqcvHZVtkK52eza6irhGX/PN3nCht2a2+Z2aCj98IjS35peiTpf3zEqKkwp8TpMJhJTEmAo9M7Im9BZWIjwrH3HXHhZ/RVEsLcdDz28MXoIuXVhdq6JHpzl6/v/wwFmw8gQ1PToDdx8UwUYe1z6wMyEyIwjVDshV/lh6nzZJtVn258YQk6AE8r1RDISkmQvJ9SRXV+RB2lFa3HvhwijkfYPrYbnjrhkHonBojuf14SY3i/a2IbyuSGB2B3DTvdVFqSIxuOdYUVzfQsnaNUOCjM5vNhlevzcPdYzx7blh96y6llvwRYaF/y379l5FIFgU/9dRcjDDEn4L71jqOaz1dbBR1jU6sOngWANAjIy5kiyh48uMZrSLVBgU+jFD6fDld1j7hKl39aBH4dEmPw5anL8Kfz+8CgLo3E7aUqbCVTWsbJlvVFW+vwos/7AEAdGsXuikuXqQ88KGLLE3Qu58R4iu01ObC5yaLp3yUemloMdXF4w9K1E6esKSsVprxkU/HpMRG4rFJvXw+RlwUlXeKnSyrxcerjmCvaCFDB4W9+9Qmb2BLGR9tUODDoEcm9gQAyy+jVg58tHvL8sXlNNVFWFIt6tgcZrdh6V/HCN+nxzuw6W8T0LmV2pSc5BifP7eay95aiWf/t1tyW0ZCVMifV348ow7O2qDAhxHiECe8+cPgtPjW4HpNdfEcQuBDByPCDvHJMU+2dUtdg9OvupROqRT4iBVXe9ZNZSaGPvCRT3XRsUYbFPgwiP8sWD7joxD4+NrbTG18xoemulpX1+jEtNnr8fGqI3oPxfSqRdsbvHnDIMnPavycKkmKifT6M87iF1y8TA0yPvLj2f7CqpA/J6HAhxniY01Y8zYWVq/xUToA+2r4qDYKfPz32dpjWLbvjMd0wbHiaox7dZmkZwwJXHltI3adqgAAvHR1f2TLpqzacrH0yR/PQU6KZx0LFfO7yV/bUJBnsGd8vSPkz0ko8GGGuO8Gf3K3esZHiZaviVDcTCeCVhVWKLfcf/5/u3H4bDWeWEgHdDWMmLkER85WAwCiRZ2Y+ULcXpn+b+dyfo90PH95P4/bGy1+wcXj99EKJaWpe8q4hR4FPgzi99mpqm/C419tx9K9RTqPSB9KB+AmDQMfR/OGpZTxaV21l6JM6gisLvHrGSs6Mc+9YzimDu+ID24e2qbH66bQlZje79pRWqV6xduraPuKEKPAhxG3j8pFckwEpo3sjLDm4sTdpyswb0M+bvt4A9YfKdF5hNprUuhjlBQdoXDP0OAzPrSqq3VKzSZJaIkzEp1SY/Hilf3RsY1FyzkpMfjPrdJgqZEynPjwlrYFkIFSyvhsO1GOD1cc1uT5rYoCH0a0S4jCxr9diGcv66u4Y/uU99foMCp9yTM+z1/eF90ztNuZ3UE1Pn6jwCf05Ct+xJuOBmN87wzJ91Z/v2cmROHCPhmt31EF3lapnlVYZUbUQ4EPQ/gpLi0LeFkmrucZ1jkZt4zorOnzU3Gz/6oo8Am5Gz9cJ/k+JkQ1KFbPcGpR28Pz1pCVjjmhRYEPg8Io8AEANIlS7lr27+EJgQ+l/ltFjddCb9OxUsn3ap6gH5jQXfja6lNdURFaBj7KxzWrB5+hRoEPg8JCvDGeUYinuvQIfGiqy3/ionPxqhRvu4ST4Km50egDE3oIfWus/n6Pc+gf+DRQI8OQosCHQVo26WOZuLhZyz26eHzG52RZLb7YmK/58xuJeFpy5o97wXEcSqobsPZwS1H+usPFuPztVfj374dpya4KIlXeaJTPINU0OC399+mbldj6nVQiPq7FOVpqtqwefIYa7VTHIL6BoRzHcX61ozeLJp0zPglRLSvIHl2wHVOG5mg+BqMQnyc/WHEYvTLjseNkueQ+132wFgCwLb8MdpsNfxydq+UQTUe+3UGw0uIiceRsNW74cC36d0jEt9NHwW7Bafe8HC0Dn5a/oSPcjqp699c0vR5alPFhkLeprrpGa30YxB/+wR2TNX/+1Djvbf2JlHxfuYe+2IbZq456vf/z3+1GCa1cCYraGZ+0OIfw9Y6T5ZKtMaykQ5J2+5iJs/sO0d/Tasd6rVHgwyBvxc1Wamr1447TOFFaCwC4LC8L00Z11nwMatZQmJ0rgMaSB4toX6JgqL0IoqxGenyx6nRLmoYXPBGi7L5DVFRtpWO9HijwYZC3Gp/SGut8GP4yZ7Pw9Z0XdNFlqov4tvNkORZsOgGO4wJaheKycB0Ji8b1aif53irTLfJtcNLiHV7uqT7xVKJ46rK81jrHej1QjQ+DvF3JFVXWoWcb9uIxCwp62HTpWysBuLM9gfTxob3o/KdFsfEtIzshITocj33l3lfNKhkf+fL9eIe2p8WclGicKK3FwJwk7CusBECBT6iZ6owyc+ZMDBs2DPHx8WjXrh2uuOIK7Nu3T+9htZm3Gp/CinqNR8IGPRs6/m1yb92e2yge/Wp7QAdqCnz8p8UedY7wMFw3rCOSY9xF/VYJfOTZSq0XkPz28Bjsem4iEmNaFlPUNbo8OnUT9Zgq8Fm+fDmmT5+OtWvXYvHixWhsbMRFF12E6upqvYfWJkp7VAHArlPlirebnZ4Zn4l9MwEAURGm+qiE3MCcpFbvQ4GP/7QMQvii6aX7iizxNzpb1XJB+d29ozV//ogwO2Iiw3FBj3TJ7ZT1CR1THc1/+uknTJs2DX379kVeXh4+/vhjHD9+HJs2bdJ7aG2SFCMtrhvZNRUAMHvVUUsciOT07GTNB11KO8UT7/z5k1nxvRwoPQKff/ywF5+uOarZ8+rl0zXHhK/7ddBuKbvcqG5p+Oz24cL3FRT4hIypa3zKy90ZkpSUFK/3qa+vR319S8RfUVER8nG1Ji3Oga/+MhKxjjCkxjpQWtOAi15fAQCobmiS9JexAj0bOvINxpwuDi4XZ8m+JoHwZ6m1FtM3ZtDkdHlsVxFK4iLbOeuOY9ooc/dbqqxz16d1SY/VeSTA6O5pyEyIQkFFHS1pDyFTZXzEXC4XHnjgAYwaNQr9+vXzer+ZM2ciMTFR+JeTw0aTuiGdktErMwHp8Q50bxcn3F5vwQ9DhJeGjpo8t+gE3uhlCtKKWiu2vW9cd58/B2hVl7+eWbQLf/pko2bPFylq41Btgc1n+SmlP43uovNI3CLC3RdXVllVpwfTBj7Tp0/Hzp07MW/ePJ/3mzFjBsrLy4V/+fnsbU1gs9mE5lZmL3irbXDijV/3S27TNeMjCrqaaLpL0Nry9ZHd0nB01mSf96GMj3/mrDuu6fOJs3WBrNYzmormnjmJ0Wxk0oXpdYsUl+vBlFNd99xzD7777jusWLEC2dnZPu/rcDjgcGjXtyFQURFhqG9ymT79+caS/Xh/+WHJbXoWN4v30rH6rtViauwe7aQMGpMcos9bTYO5L7SAllqahGg2ToeRVFcYcmz8pVXCcRzuvfdeLFy4EMuWLUNurnnmpq2S8dmWX+Zxm57FzeLnptRzC1/FtuKtD3yhl5NN4oyPFbJyQuDDSO0k//rThVbomGqqa/r06fjss88wd+5cxMfHo6CgAAUFBaitrdV7aEFzNC+nrq43d+CjdJzVs4+PuKfH/gLaYoHnLQDvlBqDv4zpKnz/9o2DvT4GZXzYpPYeYCyrqGvEqfI6AOxNdamRVSXKTPUOf/fdd1FeXo4xY8agffv2wr/58+frPbSg8ftGTXl/DbafKNN3MCGkVDTLyo70N/1nnd5DYIa3g/LyR8bidtGu65MHtMfRWZMxtme6x33pgjZwVw7qELLHlu/6Lu5zYzYLNp4Qvk6OZWNTYn56nTI+oWO6qS6zEjfQe/rbXfhm+igdRxM68j/hH/Ky9BkI8Ulpqis5xvsV80vXDMBXm06ipLoe89bno7K+iTI+ATincwpeuy4PWYnRIXsOecZn16kKj+Z6ZsEHdSmxkcxlfCjwCR1TBT5mJt4p3MwBnniJ833ju+OhC3voOBrizaJtpzxu+1TUfE2uXXyUMAV2urwO320/jeMlNXhzyQHcfG4nxEWFo6beKWnbTzxFRYYhOzkmpM8hD3xqTLqy62RZLd5ZdggAcNPwjjqPpkUkBT4hR4GPQThEByMz1xuK/28OC9UaGM27zScM3vw/n+t311u+YPzD348AcO/yfvhsNQ4WVWH9E+PRLiFK3cGaSLQGW6fIP3dmLep/9eeWfRzjotg5FfIZnwZa1RUydGYxCPHBiIN5PxDibFaEjv17vKGrMM+M4+T+7TGss/fu6HLyVXqrDxXjYJG7cHzFgbPBD9DEoiPCWr9TkOJlq5vMulmpuEA/VuMd2X3hm6ZSH5/QocDHIKIixFNdOg4khMprGrHtRMtGrPIiSxbQxoFAUWVLsasj3I63pw5u01YeYbJidXGAq+cKPiOIjgz9CTpelv0wa8YnVvRaxrEU+FBxc8ixd2YhiiQZH5MGPp+tOyb5PoLBqa6ymga9h6C7w2eqha+/v++8Nv++vBN3uCjA1bNLN4vk2TUtMj5Rsucwa8ZHPL3FUuBDNT6hx96ZhSgSFzebdY8j+UGelYzPK9cMEL4WZzusqMnpwg0frgUAjOmZjm6ifeT8Jw1uxH92yvhIydsGREeG/jMRJasjMmvgEy8Kdliqm+RrfF79Zb+pF7LoiY0zC2mVPP1sRvJ5dlYaqV07NAcjuqQCAM5YOPA5W1WPe+ZuEb6vCbCZpnwZu/j7MB03pGWRfFNiLRqYRoWbP+NT3+TEm78dFL5nqZ6wSfR5OHy22sc9SaDoKGMQ4uZaZr0IiJXVL+i5VYVcuwT3NgxFFdYNfP62cCd+2lUgfH/LyE4BPY58GwTx93SFK1XbKA10jmhwIvSY6jLhlMvnso1fR3dL02kknkqrW+oIK6imMCQo8DGI2MiWg1FNY5MpTxBO2f/JBoYCn/jmwKeyTueR6GerbB+1yf3bB/Q4TlngI/6eNmZscfhMFRZuOSm57aK+GSF/3rQ4aQdjM2Z8CkWZ27+M6SqpM9NbqaiO8Mp3VmNvQYWOozEndv7axKdoUeCTX1KLf/ywR8fRhIb8AMvIThUAgPTmwMfKU13i2o9OqTEBbyXiK+PTRN2cBeP+bzle+mkvAHe92+xpw3Dd0JyQP+85uSm4+dxOQiG1GfeMEteSsVJLyCurkWZ53hJNyRF1sPUXJ17J08988zczYfnKMinGfRVcZuHUs7jAXl4H0hZOWVZH/HenjI+yzMQojO3VTpPMhM1mw9+v6Ic7L+gCwJxTXeGiWjJWagl57ZOkDTyTGNlKw0zY+osTr9LiHHoPIeRYPsAm84FPjXUDH3HGxxFEB2FfWR1awutWWSd9nxVWaD/FygcELF+QBErcNoG1jM8LV/RDiqim06yrePXE1l+ceDWiS2pId2RmwWdrj7V+J50kNe8hZeU+PuKMTzDLzuVTXZKfUeADwDPQ0WO6iQ8Ilu07gx92nNb8+UNJ/P5laUodALKTY7D5qQvx7B/6AKCmqaFAgY9B2O02vH7dQLxwRT8A7hoLM9l4tASny6UH+wiGrsT4dPPR4hpc+Npy7D5lvYLDiPCWM0RtY+AnYnlxsxhNdbkVlOtfS8Y3TT1bVY+752xGQbl5CvvFU4a+AnE98Rv2UuCjPnbOLMQvA3OSAJgv/bzntDSQGJ6bgjE903UajSfxruEHiqpw95xNOo5GH+L3XF1j4P1kmnwENzTV5VZVr//JTl77Ip9+MzLxqlhfgbieEqMp8AkVCnwMhr8KK65uQGm1eaZdKuubhK/vvKAL5t85grGMj3SJ74nSWp1Gop+aBqfo6yYf9/TN14mG1atvrYlfa73IAx8z/WXE7zPWA5+dJyuQX1Kj82jMhZ0zC/ELX2fR0OTCoL8vRlV94CcgloivauTdalkgPwmI2wtYRa0k8Aki4+OjuNlsmcxAsRD4pMdJVxex+LkMlHjnc1aD7YyEltf/D/9aqeNIzIcCH4ORr6Y5WFSl00jUJe6PU8vAQV/JX8Z0Fb5mdYyh0tDkwnHRVWcwU12+Mz7mObkGQ/7+mjays+ZjGNE1VfJ9XZN53vPiKVUXo4FP+8Ro4euymkYq/FcRBT4G45BlHsxSEyE+0LN6gH3owh74142DALivEs3y2vvicnF45MttuO6DNZIr42CKkBN89CXxVf9jJfKMz9OX9tF8DPItY8yU8WkQvc+6ZwSy0W7oyV//++dv1WcgJkSBj8E4TLqBYL1KhbOhFBFmx4V9WrYMYGE6ItTWHC7Gl5tOYMvxMsntN58b2D5dAPDiFf29/uz9FYexv7Ay4Mc2i5pG6RS2Xad96x6Z2FP4mtXPZSD4i5boiDD8YUCWzqPxbqQo6/b9dnO1FNATBT4GI681qTZJjY/4oNolnc0rMEDa7Owb2T5KZiSvf3j60j6YfdswPDm5d8CP2TE1RtIMUe6pb3YG/NhmwcpU6l0XtEzvmmXriu0nyvCfle7O93ec30W3oNIfr16bp/cQTIkCH4ORpz/NUtzMBz4dU2IwfWw3nUfjnXh/qmcW7dJxJNqICJO+3/JykjC2ZzuPLVTayldZRbGJVisGipXAJ8xuw/k93G0lzJLxuexfq4SvI8PYDXoAIC4qXO8hmBIFPgZXWWeWwMd9Nfn85X0R56APOyvkdR09VKqH4Hy04e/dPkGV5zCyGoaCDL6u0CwZHzGWWmYoiQnyAoMoY/uvTlpVYfDmVidKa/DHjzdgd3MDw2AzCURd8qv8+Ch1Nkz0tf0QrV5hJ+MDtHwmzZLxEdNi09dgsD4+o6JX1eA+WmXsXdr/9s1O/La3SPieAh+2iFfYPaXiyiJfGy/WmvAE21biwOf/dK7ziDJxxof1qS4SGhT4GFxpTaOhr8Tk+//4Knol2uOnIAdkJ+L20bmqPa5S2NM+0d2wjaVsh174VUfv3TQYVw/J1nUsfO8wIx9nvGF9qouEBv3VTeDC15d77OZsFLGyep6ocPYzPqO7pek9BM3wJ7ucFHU3xRUnfK4a1AFhdhv+fH4XyXNaGR/4sHBi5j+TZsz4sPD6tmZ8r3Z6D8F02P+rk1bll9Ri5g979B5GQGJkWz8YYarrsUm9ALRkKMyMz/ioHZBmiV67/5uShx3PXoSemfEArNEfqTV8gz0WTsx8XZcZ9gaUd2mON8CqqVlXDxC+9rUogPhP/08VaTN5sAAYdwdf+bSGEaa6+JYCrO7xoyY++6L23+Wj24ZhZNdUfPWXEbDZbIiJDEd0c9B7oKgK5TXGfD+rhaWMT1aSO0g9VW78jXnlq2B9dRFnhfizZ8asmx70/1SRNlMKfMT9ZYxi07ESbDxWKrnNCBkfvreNFVYf8cXNav9demUmYO4d52JIpxThNvHGr28s2a/q8xkNH/hEhuv/ue6Q7N4z6lSZ8QOf/FLpLueJhgh8Wj4XNA2sDlUDn61bt2LRokWoqKhQ82GJzF/GeDb40//w2HYfrz7mcZt8LzIWWSnjw/fx0SITFy06wFt92wp+93AWMj4dktyBz8myWsNPtRwtrpZ8b4SMT0SYXTjm1JlovzQ9qfqpmjJlCq688kp8/PHHaj4skbltZGcsvHskzutu7CJbcVfgbu3isOyvYwyRuQq3uz82vnYZN4OzVfX4ePVRANoUnYsDnx4Z8SF/PpaxVOOTHu8A4D7pGr3+6uhZaeBjhIwP0PLZOFtVr/NIzEG1T9XGjRtx8OBBcByHuXPnqvWwRIHdbsOgjslIj3MItxkgXvAgzu7cOqITOqfF6jga/4WFWSPjc/eczcLX0QrTq2prl9BS8Kw0nWslLNX4REeECXvUldYYu8B5T4E0kxhrkPdZUow7QLv0rZWmv+DSgmqfqs8//xwAkJOTgw0bNuDIEWM31jMC6YoE40U+4g0/5Zuvsiy8Oe1s9gPQ+iMlwtcOjWqv+CXtjU5zv7atEWp8GAh8bDabcOLdedLYZQx7TknHb4QMMyCd4iozePDJAlU+VRzHYf78+cjIyMBLL70EjuMwb948NR6a+KDW9gF6EQc7Rgp8wkSBj9FrHvwVpdHfh5/+bLD46hUh48NAcTMAlDQvZb/rs006jyRwThcn1PhcOyQbb94wSOcR+a9e1EGdOpsHT5Wj2YoVK3Dq1ClcffXVuPzyyxEbG0vTXRoQTz8Y5MJFQhzssJDS91eEvWWsZs/68LRabce/DxqdLlTUNVomsOSdLKvF1e+uFjJerHwuxNO6xQatMymvbQT/3/jHVf1xWV6WvgNqA77OCqA+V2pQ5VM1d+5c2Gw2XH/99YiOjsall16K3bt3Y8eOHWo8PPGChTR4MCLDWk6mRoofwkRF2Wav8+FpHfisOngWA579Bc8u2qXJ87LiuUW7sEnU4oGVwEdsyAu/osiAneL5rFVCVDiTr6svr08ZKHxdXd/k/Y7EL0H/9ZuamvDVV1+hQ4cOGD16NADguuuuo+kuDYhXRRnxyjhcNH6nyzhTG3yNDwAs2VMkSUOblVaNJflg/mixu9/Kf9d4tjwws4NnqiTfs3Jx89CFPSTf/7qnyMs92cUHPqmiRSFGkZeThJ4Z1NlcLUF/qn7++WeUlJRgypQpwm2XXHIJEhIShIJnEhqRoiXGRuzoKZ4majJQMWuYKPCZPncz7p27RcfRhIa8OaN2GR8DztmqKCsxWvI9K7Vv947rhpevadk6ocGAwT4f+CTHGLM2Msbh/gxSxid4QX+q+Gmu6667TrgtMjISl112GY4dO4a1a9cG+xTEC/FVeEl1Az5dewxFlcZJQYuniVwGyliFyQqqftldaLqOqvJAWqvNYyMYOdHrRd6nRRxk68lms2HK0Bz0zUoAABRWGq/Oh1+KnxIbqfNIAhMb6V7FSxmf4AV1lKmtrcWiRYuQm5uLYcOGSX7GT3dR1id0JvXLFL7edaoCT32zE1M/XKfjiNpGnFW4pH97HUfSNna7DfLzkRna+Yt5BD4aTXUZrfZCbWer2F6qPHmA+3NaaOAan+QYYwY+fG+r6gbK+AQrqKPMokWLUF1dLcn28CZOnIjk5GR88cUXhqw/MYKYyHB8evs5ktsOFFV5uTd7+KmuP43ONdzS/HC79KNzutx4JwJf5HVLWk11sVLTogeni2O+QWC7eHeTyTMGzPjwgY9RMz584FNTTxmfYAV1lPn888+F1Vxy4eHhuPLKK1FUVITffvstmKchPhj5RCEs2TXg9IZTFsybLuMj2xPIQRmfkOI4DofPVDHfHoGvjymvbdR5JG1XavTAx+Ge6qKMT/ACPsqUlZXhp59+Qu/evdG/f3/F+1x//fXgOA5z5swJeIDEN1aKHwPBr+SKYKSOoS3kJygjpv598Zzq0ibjE27R4uZHFmzHha+v0HsYreI7OJfVGC/wKWnOpiUbNPDh6+xoo9Lghbd+F2WHDh3CDTfcgIkTJ3q9z7hx43D77bcjLi4u0KchrTDyFXJjc/AQZjfu/4FnloNRbYMTt360HvI/iVbFzUbOYAZjwaYTwtcju6ZieG4qerVnb6PWxGh30MD6lJwSIeNj0Bofvs7OCu0zQi3gwGfIkCGYPXu2z/vY7XZ8+OGHgT4F8YPDyBmf5qkuM1zlNzrNEfhsO1GG9UdLJLfdeX4XzTKLZngvBCszIQr3T+iu9zAU8VNdlXVNaHK6EG6gQLUl42OsekIen3U1y0WWnozzriWKjJ3xcX+Aww041SXXYJLAR74sv2dGPGZc0luz5zdSP6dQiYsK+Ho05BKjW4KGijpj1ZrUNi8Dj4lk9/X1hb/IrTdZ6ww9GPesSQAYvcaHz/gY9//AM8sJW17bo1VRM0+pH5K8maLZsXxiDg+zI765yNZou4TzBfta1aupjR+3EZvVssb4ZxyLM3LGhw8WzJDxMctUlzzwYGEq1SzZNH/FRrJ9Yk7kC5wNtrKLDxhYeE8Hgq/xMVuzVD0Y8x1ABEbO+Px+4AwAY9Z1jO/VDgBw1eAOAMxzcvZYxq5RUTNvXO92Hrc1WOwKl1+2zCq+AaCRMj5OFyd8Ro0a+PCfRcr4BM+Y7wAiMOoqmM3HS4UaASNmfN65aTDWPzke/bISAbT0JDI6+YoRrU8SjvAwPHdZX8ltVjvQs57xMeKSdnHwbNypLsr4qMWYZ00iUMr4GKFT9qajpcLX8i7IRuAID0O7+Cih+WKjSU7O8hUjemQUx/RMlzyv2TM+8s8r6xkfvsDZSIHP7NVHhK+NnvHZeKzUdH3DtGbMdwARhNltHhsZGuEKOVp0VWukDUrlIpun6Zpc7L/m/pBnfPQotO2UGouNf5sgnGDN3rdEPk0azXhGgt9e5vnvdjPfaZr38k/7hK+NuphCvNDgHz/s0XEkgauoa8Tfv9uN7SfKdB1H0Ee1wsJCLFmyBJs3b0ZhYSFKS0uRnJyMjIwMDBkyBOPGjUNGRoYaYyVeRITZJAeg+kYX8+lc8fSWEdvf8/ji8l/3FOGLDfmYMixH5xEFR57xiXPo8z5KiIpAbGQYymsbTb8btTyjxXqhfLFoB/lTZbXISYnRcTStqzXJ+0d8TC8w6N6AL/24F3PWHcd/Vh7B0VmTdRtHQIFPY2Mj5s+fj7fffhvr168HoDy9YrO5T27Dhw/H9OnTMWXKFEREGLN5FMvkJysjFNpWiw5GRg58xFePj3613dCBT3lto6SDMADE6jjtIuxNZPJNGeWBD+slb7eO7IxfdhcCcG/VwnLg09DkQu+nf9J7GKoQ13PGMT4d6s2+gkq9hwAggMDn008/xYwZM3D69GlwHIf09HSMGDECffv2RWpqKhISElBeXo7i4mLs3LkTa9aswdq1a7Fu3To8/vjjmDlzJm666aZQ/F9IM9avGAGgur6l+Vl6vEPHkQQnUrYirdHpMmyLgXvmbkaBrHZAz8CHL/KtMfmmjOLC+PN7pGNcL7Yz5KO6pSEvJwnb8ss83i+sWXO4WO8hqEZ8XGc9o++NnZGovk1HtREjRmD9+vVIS0vDfffdh2nTpiEvL6/V39u6dStmz56Nzz//HLfeeiveeecdrF69OuBBE982Hy/F15tP4M/nd2V2ubs48LnOwFkSeZBTUM72FbAvvx8463GbnvUmfH1RcbVxlk0Hgs/4xESG4ZM/nqPzaPyTnRztDnwYn3JxGaQGyR/9OiQKX681aEDHygreNp0VDxw4gJdffhnHjx/H66+/7lfQAwADBw7EP//5T+Tn52PWrFnYv39/QIMl/rln7ha8+st+fLb2mN5D8aqqOfC5f3x3zXvFqEke+JwordVpJKFh0/E4xS/ffXTBdkNkMQPV4HRP5RkpU5iZEAUAzK8u4mCewCcizI7/3DoUgPtiYMeJcp1H1HbyhTh6adMn7fDhw3j44YfhcLinJhYtWoSCggK/f9/hcOCRRx7B4cOH2zZKEpCDZ6r0HoKik2W1mLPuOADjzlXz5CcrIzV1E/PWG0TPw5S4qDm/pEbHkYQWvwqT1eyskvaJ7sCnoKK+lXvqy8ALRhV1TosVvt5fyEa9TFsYMuOTkJAg+f6KK67Ak08+2eYnlT8OCc6/bhyEKwZmeRw4WQ0q7v5sk/A1yxsy+iMyXPpBNuoKpCcW7lC83aZjyqdaVNtTyPgJNhh8jY+RmpFm8Bkf1qe6TBb4dE2PQ1qcO/Gw+pDxprsMmfFR4k+zvBUrVmDVqlXBPhXx4tIBWXjj+kHokBQtuT2W0c0Ot4lStDnJxqyH4cmbL9YYsKuqy8Xh680nFX+WGhep8WhaVIl2/z5VZq4pRLEGA+4hlSlkfFgPfKTnp7l3DNdpJOrht8v5avMJw2V9DBv4BNIVePbs2Tj//PPb/HukbSJkK4xiderB0hrxm79zmrEDH/lUV60BVyCdrfbMptw7rhtuHN4RF/drr8OI3CpFgc/pcnMGPi4Xh5v+sw5Ay1YQRsDX+Jwur2W6U3yTaMVcXnYiRnZN03E06ogXZcm3G6zOx7CBT1JSEi666CI8/fTTAIC6utYjfpdJutqyTn4S1nOawpeU2JYsQvvEaB/3ZJ98qusfP+w1XCFukcI00h3nd8E/ruyv64Hqj6Nzha+rTNrLZ9epCiHjw08fGUFCc1ftRieHez/fovNovOMLxwGYpsxZPH3HajmDN2GMbE/U5lFUV1fj119/xQsvvAAAmD9/PpKTkzF+/Hg8+uij+OKLL3Do0CHJ7+zduxepqanqjJh4JQ98WD0B98qMBwAMz01h5gogUEorcX7ZVajDSAKntCQ5noED6p3nd8HgjkkA2H0vB0s8FVNRZ5xGnuIT7nfbTzOZ9eE4Dg/O36b3MFRX29iSCTXaVjniSYkmHT/TbT66lZeXY/369Vi9ejWeeuopOBwOVFRUYOnSpVi6dKmQZUhMTMSAAQNQU1ODTZs2Yfz48aoPnkjJiyNZ3TiTv8K9eUQnnUcSPKU+N0Y7GBXLprr+79o8JrKF4WF2jO6Whs3Hy0y7Ual4Nd0d53XRcSRtI79gefjLbXhtykB9BuNFZb3xpp39Id6eyGiLKcQNDBucLt32TWvzs8bGxmLs2LHCaq7rr78eZWVl+O233/DKK69gypQp6Nq1K8rLy7FixQps3LgRSUlJeP7551UfPJGKCPfsIsyi2uaDvZH79/CiIj3/D6xvMiknDyquHpKt00g88SsVP117zHCFnP7gPwsRYTaM6dlO59EEzltxvJ7kzQv1D+XVcfeYbsLXNQYL7sJEF1TyrZa0FFQ++5NPPkFMTAzi4+MxZswYjBkzRvhZRUUFdu3ahcbGRuTl5SExMdH7AxFVyHdKbnCyl35esf+MUJBnpFUs3igFOUbZsZrH4vuEJ55KfGTBdnw7fZSOo1FPXaMTi7aeErbjyMtO0ndAJtTI8Ps6GJ3TYnH14Gx8tfmE4VaRig+N9U36jT2owMfXnlsJCQkYMWJEMA8fsLfffhuvvPIKCgoKkJeXh7feegvnnGOMVvDBKKqUTlmwmPG589OWHj5mCHyUanxqDXYwYvF9whP3pqo22NWtL/9ccgDvLmuphYxWyByS4Ly2eJ/eQwiZuOYVuzUGK/p3isoA6nXM+Bj/zCMzf/58PPTQQ3jmmWewefNm5OXlYeLEiSgqKtJ7aCFXUSs9MbB8QgMAh8GmhPylZwo3EKzWggHSwJLFAtpALdkjLYA36qaTYiwdbziOw+fr8/UeRsjENBeXG63Gp1GU8tFzYYvpAp/XXnsNd9xxB2677Tb06dMH7733HmJiYvDRRx8p3r++vh4VFRWSf0YlXxXC0oGIJ76CN0PGRwllfNQjfr+YJ+zx7ChsxMDnFtnihI9XHdVnIAqULj7M9P6Jbc4Q1hisb5izefrx71f003Uz5zadee6//34UFwfXJvvMmTO47777gnoMbxoaGrBp0yZMmDBBuM1ut2PChAlYs2aN4u/MnDkTiYmJwr+cHOPuFC4vUm1oYu+jLr6CN2vg423fK1Y1MlyTJH6P1DY48d7yQ/h1t7HaBSiRZ6+iI4z3WXj2D30l37/4wx6dRuKp1KB75vkrOtKYGR9+xWuEzm1M2vRpe/vtt5Gbm4sZM2bgwIEDbXqiffv24ZFHHkHXrl3x7rvvtul3/XX27Fk4nU5kZGRIbs/IyPC6meqMGTNQXl4u/MvPN096lMUr+UhRIwfzTnUZ62BklKmu0+V1mPXjXvzpk40orTb2iU0+a2e0lYCAdGkya8we+Bg149PUfJGld/+2NhU3b9iwAffeey9eeuklvPzyyxgxYgTGjx+PESNGoHfv3khNTUVcXByqqqpQXFyM3bt3Y82aNVi8eDHWr18PjuMwatQovPXWW6H6/7SZw+EQdps3usvysrBo2ynhexYDnwgLTHUZLvBh8H3C87ZxZ2VdE5Jj9dtHLFjyPaSU2iIYzdBOyXoPQVBeY5xmkIGIFgIfYx1r+C1ElBaFaKlNgc+gQYOwcuVKLFiwAK+//jpWr17tdQqJx6d0R44ciQcffBBXX3114KNtRVpaGsLCwlBYKE2FFxYWIjMzM2TPy4qZV/XH5AHtUVBeh2cW7WLyhCaO88MZvmIMhtFqfJhezu4lOHYavNBZPrtoxIyPHEtTpqUKgY8R66i84TegrjZY4MOfk8LDDDTVxbvmmmuwatUqbN68GU899RRGjRqFmJgYcBwn/IuJicHo0aPx9NNPY/PmzVi5cmVIgx4AiIyMxJAhQ7BkyRLhNpfLhSVLlui2tF5LsY5wTOybKWxix+IJjd/jBwASooyzKWNbGG5VF4MBMs9bxsdpsO7YcvKMT7wJPgssddcuq5VOdXVJi8XMq/rrNBr1xTRnfIy2KTLf40zvi96g+vgMHDgQAwcOxLPPPgsAqKmpQXl5OZKSkhAdrc/mkw899BBuvfVWDB06FOeccw7eeOMNVFdX47bbbtNlPHrg24Cv2H8GVfVNTG1kx/du+OSP5zBdI9AWT13aB2/8uh+T+mbiy00nDJfxEe+Zw9J7BfDcBJbHcKzmF3nCKtNAG5SK/fP6gXjsq+2oa3Tp2pBObsvxMsn3v/11jC7jCBV+OXu1wfr4NAqBj75TXW169pMnfbclj4mJQfv27XULegDguuuuw6uvvoqnn34aAwcOxNatW/HTTz95FDybmbhifsvxUh1HInWmsh77mrcdiGXsBBuM20fnYtvTF2Fg84aaem6+Fwhxh9uFd4/UcST+M1p3bDn5qq6MBGPWGV4+sAPm/dmdTdezIZ3YluOlWLDphN7DCCkh42Owiyw+Uxum81RXm84+HTt2RGZmJoYMGYKhQ4di2LBhGDp0KNLT00M1voDcc889uOeee/Qehm4u6Nny91i4+SSGdkphojPsv35rWQlohpoGMbvdhojmq5i6RhfunrMJ/TokSvbVYVVDc6D2jyv7o3tGvM6jkfIW3xg98JEPP8OgGR+gZZFCPSNTXT/tUl7BayZ84GO0buZCcbPOGZ82BT5ZWVk4efIkvvvuO3z//ffC7Tk5OZJAaOjQobQ3l45iIsNx+cAsfLv1FL7echIujsMb1w/Se1jCCRYAHAbsW9IafpPY5fvPAAB+2FFgiMCHr/GJ0PkqTIm3GmbjFzdLx58eb8yMDyAOfNjIPqTHGfe19FdMc3FzfZMLv+4uxIQ+xpjR4I81hlrOnp+fj9OnT2PdunVYt24d1q5di02bNuH48ePIz8/HwoULhft27dpVCISGDRuGwYMHIyZGv06NViP+8H+z9RQTgY84Fd4lLVbHkYSG3ks0A8UfjCIZbC+QlaScCTF6xkc8+shwu6FXHPH9uCrrmrD64FkMy03R9bOQFGPcNgf+ihFl8P/0yUYcfPFiobaTZXwfH72PNW1+9vbt2+OKK67AzJkzsXTpUjz66KOw2WzIzs7GuHHjMHToUERGRuLgwYOYN28e/vrXv+KCCy5AUlJSCIZPvElj8Apy4VZ3jdhrU/Jgs7GXXQiWYQOfJjZ6ayjJTo7Bp7efgz7tEyS3Gz7wEWV84g1e7ybux3Xjv9fh7aUHdRyN8Vf8+UPeA80otT58s1RvqzW1EtSz//vf/8YzzzyDV199FceOHcPixYuxbt06lJSU4D//+Q+ys7PBcRxycnIQGWn+KJwl7ROlV8p6nyg2Hi0Rpi2MXM/gi9KH2cX4CbqgvA7rj5YAYDPwAYDzuqdjWGdpczy938/BEg8/LsrYgY/86v2ztcd1Gokbi2081Ca/cKw1SD8f/m8T4WW1plaCOtK98cYbGDx4MB588EHJ7dHR0bjtttuwc+dOjBo1ChzH4eBBfa8CrKajbAM4veffd5wsF74+JzdFx5GEjlLg0MD4Cq/5G1q2aGGxxocn395EXiNjNOLxs9ZCoK3k2YdUnTtqs7wFS6gYpYOz0MDQSMvZ5Q4dOoRu3bwXb8bHx+PLL7/EmTNn8PrrrwfzVKSNOqdKa2gadd6w9FhxDQDgzgu6MJtZCJZS4MB64CMuMmd5fyN55qzJ6Bkf0fiN3tpBnulM0TvwYfwzFwqGmepymmCqKz09HXv2+N6RNzMzE2PGjJGsAiOhlxQj7QTbqPO897HiagBApxTzFTXzlIoLWelt4k2NaDlsz4wEH/fUlzzQ+WbLSWxonqIzIvH/xsiFzYB72kW8SIcCH20884c+wtdGy/gYeqpr0qRJ2LFjB37++Wef94uOjsbRo0eDeSrSRjabDWtnjBe+b9J53ru81r13TmqceWu9lK5iWM/4nG3e5fy87mnok8Vu4COv6Vm45SSufc/3PoEsE8/URTG4mq6txH8evXuGWaHGBwCmjewsTJMaocaH4zihWareWf+gnn3GjBmIjo7GlClT8O233yrep6KiAqtXrw7maUiAMhOjENU8laH3VVADw0um1aJ0FcPS/kViZTUN+GztMRxvnoK8qC/bm/gafWpLTlzjo3egoDa9O5frfazTis1mQ7d2cQCAGgPs2SXuEG/owCc3Nxdz5sxBQ0MDrrrqKowbNw4ff/wx9uzZg2PHjuGnn37CpEmTUFRUhHPPPVetMZM24Dtk6n0w4Kd85IWQZqJY3Mxo4PPh74fxt292YuXBswCANJ2nJ1rj7WQq3/rBKMQZrOxk/bb4CQW9s5x8cTM/5fbghB56DiekjLR1hfgcpHeNT9BVdZdffjmWLl2KadOmYdmyZVi+fLnk5xzHweFw4MUXXwz2qUgAIsLtQL3+V8x1zavKHOHmuroVU5zqYjTwWXngrOT7VMa73XZJj1O8vdHJed3IlFUcx0mCgy5pyv83o9L7Pc+/tlOHd8Rto3J1rzkKJT7wOV1ep/NIWtckyfgYuMaHd+6552L37t347LPPcOWVV6Jjx46IiopCeno6rrrqKqxZswbDhw9X46lIG4U3Vx3qmfH5bO0x5JfUArBgxsfJ5pVYjqzdAeu1V7eN6ow7L+ji8f6pY2SbhLZocnGSGp8xPdna6zBYR85Wo06nDMS89cfxyZpjANyfRzMHPQAQ3bx1xawf9zJf7M8HpDabwbas8MVut+PGG2/EjTfeqNZDEhXwJ2M9i5v/9s1O4WszBz7hClcxrGzcKGeXNUBLi2U74xMVEYYZF/fGntOVWNG8FxrQPIVqsH6Y4ozI74+OZT7b1laHzlTjotdXYMWjYzV/7se/3iF8rXcdiRZiRfVh7y47hGHT2OyRtnRvEZ5Y6P7bRITZde/cb/53hsXxJ2O9a3x4Zp7qMlKNj/y4kxBtjF4y4bIrRb0yC4E4dKYKTyzcgcNnqoXb5B3WzeJ4SY3eQ9B9OkULiaK2JSwXyd/28QZhOk7+GdaDMY52JGD8ybiRkSWeZtyVnWekGh8xm82zBT6r5JkqVjNqSm74YC2KKusxd517S4cwu80QG0salZlXkPISo1sCnxhG+0HtK6iUfM9CzyHzvzMsjo+um1wubM0vw7fNG4VqRb5Vht7V/KFkpM7N4mJ3I00JyIdqpIxPUWW95Hszfxb0Ei06+RvhoiNYksCH0YzPdR+w12+LPnkm15LxceGKt1fh/nlbselYqWbPf7pMutrAzBkfpYI9Vg++4uXhDGSe/Sbf4+ehL7bqMxAVmCkjcV73NF2f/6Wf9uL6D9ZIit3PVNX7+A1zEO/zFsPo1idlNY16D8GDeT55RFGEUOPTcoV/+EyVZs9/sEj6XGa+yrXZbBiYkyS5jdXAR9xHxgbjRD52WZS2v1C797LazBT4vDZlIMb1aie5befJcqw/os1Ko3eXHcLawyWS1XIVtew39VPTmkPF+Pfvh/UehgTfsZ815vnkEUXhCqu6tKznOCgLssxe07DgrhFYcNcI4XtWp7rEgbCRMj5K9apGbWJopouA9HgHHp3UU3LbpW+txJT31+CsDpmXxOgI3HFerubPqzXx1N7W/DK88P0ebDrGzrL25xbt0nsIigL+5OXn52PRokXYv3+/z/v9+OOP+OGHHwJ9GhIkPuPTpNMmpafLanV5Xr2Eh9kxtHMKLh+YBYDdjI/4/SDPorAszO55yDLqlb3ZWjt4C+TOVGob+KTHO7DlqQu9Nr00kzE923ncdqayQYeRKFtzuFjvISgK+JNXW1uLK664Avfee6/X++zZsweTJ0/GG2+8EejTkCDxNRF6nIB3nSrHf5ubiVkNfxJgddVRkyTjY6TAx/O2M1Xsd61VYqapLgCIiVSuMQn120ue8UuKjjBUMB+MyHA7/nx+F9lt7PzfleoeL+yTocNIpAL+5PXo0QMDBw7E0qVLcfbsWcX7zJ8/HwCoqaGOhAaGOmxZcfvHGzV/TlbwJzUWMz7b8suwTlR7YaRzhNKBlKUrXG/KFQo8zRb4RHtZTh3qmUj5dHKSqLeNFcj74rC0SlOpZ8/7Nw3RYSRSQb1CN954I5xOJxYsWKD48/nz58PhcOCqq64K5mlIEISpLo1rTXaeLEdBhfRK/JGJPb3c23yEwIfBGp/pczdLvjdWxsdzrJV1bBZQis1YuN3jNrNNdXlroBfq4F/eoywx2tzbVMjJ6yb13g5CTGksLGTjgvrkXX/99QCAefPmefxs+/bt2LdvHy6++GIkJCQE8zQkCPyHoq6x5eAT6rfdFxvycelbKyW3/fP6gZg+tluIn5kdLGd8quqlNTFGaV4IAGEKYzXCztQr9ntmxaMYbTgXKG8ZrFBP98o/Y1bL+ETIAgmnzhtSi8nbT7AiqFFlZ2dj1KhRWLlyJU6fPi352RdffAGbzYYbbrghqAGS4PAfisNnW1ZXhfpj8ehXnle33ub/zYrfmoO1wKemoQku2YGRgQswvyktjzVSE0MxswU+3oT6MyB//GSrBT6ygFPPfRnl5BmfV6/N02kkUkGHYzfeeCNcLhe++OILye3z589HXFwcLrvssmCfggSBn+/9fH2+ruNgtatoqDgYzPjM/GEP+jz9MyrqpBkfI011FVZ4rhBioQV+a5SW3Fsl8JF3b1ebZ8bHYlNdsuCClX0ZAc+Nm3PTYnUaiVTQgc+1116L8PBwyXTX5s2bcejQIVx++eVwOMy187DRpMV7HgT0OM1Z5SDP41d1sVTj8/4K5eZmRsr4FFZ4ruAywlSX0jW4BfbQBKBBxkf2GRNv42AF8mJmPRayeCPP+LCwQSmgQuCTmpqKCRMmYP369Th69CgAd7aHprnYkJMc43GbHh8Lq2V8WK7xkeuZGa/3EPymFPjUGSLjo/cI9BPqGp+yGumqPqvV+MizKkxlfOSBDyPRviqVRzfccAM4jhOmu7744gukpqbioosuUuPhSRCUDgJOHZoZWi7j0xz47DhZHvJUfzD6ZiXgpasH6D0Mv/1xtLsbb3JMBP44yv21Eaa6rCzU7/9r3pNugplksVVdEXZ2a3zkySdWip1VGcWVV16J6OhozJs3D+vWrcOxY8dw9dVXIyzMWic7Fg3ITvK4jaVUqFnxU13HS2rw6ALPYm9WvH7dQLRLiNJ7GH67b3x3zPvzuVgzYzwSot0F88aY6rLuZ068olQLVsv4RMgaFurVpV+JPONtqoxPXFwcJk+ejG3btuG5556DzWajpoWMyEqKxtThHSW3ab3csU/7BHRM8ZxyMzPx0t5vt57ScSS+sdTzwx8RYXac2yUVURFhQsM8QwQ+Fol7xvZM97jtmUW78OD8rZqNwWqBjzyL8thXO5jZv06e7TNNjQ/vxhtvBMdx+Pnnn9GhQwecd955aj00CVKv9tI+SlqmQr+7dzS+u3e04U6wwTJKV155mtxI+LqxWprqYsYHtwxVvH3hlpOajSHOYa3WGREKWZTjJTU6jMSTvL6LlU2qVRvFJZdcgsTERADAddddp9bDEhXIiz+1TIUmWmjfHDFxcMnyFaiBVrJ7iDJSxkfvAWgkIsyu+5JlvoeWVShNJTKS8EG9bGymy/hERkbi+eefxy233ILbb79drYclKrhycAfJ96Gs8ZFvjZFgsaWlvOFdUoSv0+PYbenA0gqQtnI0Bz7ygyvRl94nN6NkW9VSXO25Vx0rdZw1DdKeYXq/N3iqvkPuvfdezJ49G7169VLzYUmQ0uIc6JLechX28k/78MC8LSFZai3vqRFvsbQzLy3OgQV3jQDAVi8fubR4doOy1vBdyVkq5vRK4TzUrV2c9uPQgN7TGVabVr98YBbaJ0oXKLDSzVyejWVlVZc1z0oWFCk7GH2z9RR2nCzHkofHqPo88qtvK05z8aIYzkgs/esY1Dc5kRBl3Iwcf4LdcLQUNQ1NhtkW5bFJvVBW24A/nddF76GERHSEtie3lNhIlChkPawiLc6B1Y+Pw5XvrMbW/DIAoW8h4I+GJpfHBrKmWtVF2Kf0hjt0plr15wl1szIj4betYOEgBABZzVeF08d2RW5aLHplGnvzYPF7+s5PN+k4ktaJl7MP75KCGRf3Nm1vq1SNp3ZZ2pRTLzabTTJtrXULASXyaS6AnWwcBT4WEaZRipGVkzwL+FqD0ppG7D5VofNoWnZhv6hPps4jUYd4RdrvBzx3P2eJuNhUaYd5M0mL066B4KdrjipuXGtF0sBHv+NweU0jKuoaUa2w2lK+vYZe2BgFCTmtisrEGZ9fH7pAk+dklXh1yRVvr9JxJG58LQwrV13BYiVt7g9xTsIsr783KbHKgY/avWWKKurw1Le7VH1MIxOvJNUr817f5ETe879gwLO/oKrOM+PDylvfGJPiJGiaBT7NKdb2iVGmLd70l0O0uoSFAmd+CEYKGHxR6l9iBGYPfFJjlae6nC5O1ffe6XLPfdusrIGBjE9xVUut1dmqegDuKfa+HRKRHu8Qss56o8DHIrwdcJwuTtUDMT/V5bDYklIlrC2r5fdoM8tUCysrRPwhznawsqQ3VLx1aW9ycVCzxU51vWdGwcrEGR+9anzsomPLuiMlAIAYRzg+9NLYUi/GOXKQoHir8VG7jwufYrVaEzElrAV/fG8Ps2Qc5MF8AcMZAPEkj9lXOo7r1Q53nJeLVNmU15I9Rao+j1INiZWJL7RYWM7+5pIDAIDYSPbOBWwdmUnIeLvKVHsKRsj4aLyklUV69zOR41e/GClT4ou8UHLK+2u83JMtZsm4eWO32/Dk5D4e21dMn7sZqw6qV4RORc1Sb90wSPi6TqdFJko9taIp8CF6mXGxclPJRpWL4M5Wuud4Wct2sODnXQW6Pj8f+Jgk7vEI5lnZn0iJZFWXyTM+vCiFi5+p/16nymM3NLnw1y+3qfJYZpGXk4Sbz+0EQL+pLqXWAt5qvvRkkkMgaU33jHgsf2SMx+3yBlPBqG1w4tGvtgNgZ9kiS/7+3W5dn9/sGR8AcBmgp4tVAp/oEPYp2n1a//YQLIpxuF9zpRVVWlA6n7DYr8ocR0Dil06psThXtIcUAHyw4rBqy0zFByNqKub25CW9ha87p+q7eaPZa3wANlbPtcbkM12CUJ7w9hdWhuyxjSwlxl1XVVajTydrpeM+i2UP7I2IhNT7Nw/Fi1f2E77/aNUR1aZgTpbVCl8befNLNd1xfhdcPywHABAfpd8iSvG+bKYJfBQyVyxuDyK/sGBl5+xQU8r4JKq0afGhM1WKt+flJKny+EaV3FxQfqRY/a78/lCq8Zk2srP2A2kFBT4WkxgdganDO0m6qx4sUj6ItNUR0RYYak6hGd05ue4sW5VOy28bnS6M+79lwvdmCXyU+vj8d81R5oJu+eojq3wylDI+ndPUyXrytYRi7900GJ/cdo4qj29UfMZny/EyrFaxkNxf8ozPBT3S0SMjXvNxtIYCH4sSXy2r1W+mpLpe+Jq1k4+e4ps3Av39wFldUtB7T1fiRGlLNs4sfWSUVs29tng/vtp0QofReCevt+BPTmantMChSaXjAt8cT2xSv/ZIjDHuprtqSBa1EHj2f9p3tW6SBT4dkqM1H4M/KPCxqFpRnwe1il0rRAf4BtqsVBDnaJnieuPXA5o//+Gz0oyeWTI+3gK4PYwVvlbWtSy7/v3RsUwu7w0FpX5FTUFmgv/9+2GM/79lwt+Y33iXuCVGtxxr9GigKv/7RjHaz406N1uUuOupWgWhFaK+GkYoMtWKuLbnyFnt594PnZE+p1kCH28rB1m7yqxs/qxlJ0cjx0tXY6tQqgFpixe+3yP5Pj0hCqcYblyptdy0lm2CKjVe2cVxnMeO7EotDVjA5qhIyIlTkmsPF+P2jzfgYFFwKyUqRFe2NNXVQvzh99bOP5QqZI3ezNJAz1sAF+tg63qOPwHxU55WJp8KCXbqK13DneCNIMxuw+IHzwfg+bkPtfvmbcW02Rskt7G4lB2gwIcAWLbvDJbsLcKtH21o/c4K+N4pFbUt0b5VVq74Q3wVpkf6Wb6nkdm3TAh2OkVtfI1PPGMBmR74v822/DL8vKsAfZ7+Gf/+/XDAjxcTSa+pXEzz+0zrLT3+t+2Ux22U8SHMEy9H99fsVUeQ9/wv2HmyXJLxEbdPt7owuw0PXdgDAFCjw/5C1Q3W2syRtWxjfqm7o3SCSku5jazR6cLqQ2dx+durcOenm9DgdHlMX7UFqydWPfF7YzU0uXT/LLC6ZyOFyxYVGW5XpQD5uf+5uxHf/J91KK1xBz5L/zoGuSotWzWLmOaDUa0OQcjZKn2amelFPp2ip/ySGsz6cS8AICeFrdojPZTVNuLGD9XZtgJgdypFT+IsWE2DE4nR+gWHrE078yhctqiv/zISA7ITVXs8PugJt9uQzVhxKQv4A3Stxrsmrz9SgvVHSjR9Tr2ptWRaDUv2FApft6cVSF4vth6cv9Xn73Ech2cXeS7PjqStcTxEhtuFHlfyYmMtZSVGYVyvdro9vy/0rrGofh0S8c3do1SvO7h8YAfap0sBn/HReqpL7/3BQm3ygPYet7HUPDMtvmWDRhY3a2TFwi0nUevjs3GitBYfrz4quc0RbjfNCkW18Vmf6nptjjfyxoU9MuKw+KELkBLLZvE5naEszG63IVXlVRE0566sZapL28BHXkw9qW+mps8faq9NyfO4Ldgl02oSb6Fx+cAsHUfCPs5HT+v6Js/PjSPcDlDco4jvHSZf2BAq02avl3yfmRjN7DQXQIGP5clXRbSlGE5pQzo9Vi0ZQXTz67zxWCl+2VWg2sawrREffL67dzTevWmwJs+rlQiF5pssreqqb57aubBPhmKnabM7v0e63/f1tbFxQ5PSsSYMl+d1AAD0ZHBbBD3xF1paLWz4/YB0ewzWu8Nb75NIJOJkUfmaQ8WS74+erZZcNYgDI3FHWh6rVfx6ixF16/3zp5uwv1Cd/dFaIz4ApcU5YDNJDx+e3W7Dned3wbVDsnHXBV0BsDPVxXEcnlm0E4B1i3Dfv2mI3/fdc7oSn68/LrTHEFO6IHOE29EnKwFrZozDontHBTVOs+GXtFfWNWHHiXLN695Yn4KkwMfiYhzSA/Jh0a7Hu06VY8yryzD5zd8BAJ+sOYp+z/yMdYfdwRFf0CymtD8P8dypulhhr6FQ4PcGu+Gcjsg0aXHtjEt645Vr84SCTlamulYePCsEYVb9XLRle44p76/BjK934NttJz1+phT4uJqzpu0To+mCSyYzwV1PdveczfjDv1biGYXC8FBS2kCYJdb8NBKBfB5WvNXEzzsLAABHi919SNYdKUF9kwtrD7tXCSltFEhTXcrkJ756jfYyK6l2Bz5XDuqgyfPpid9zjpWMT7moc65VA59ArD9S6nGb0hY4p2mrCq/G9nSvpuKnD+esO67p84eptP9jqLBbfUQ0ESu7IhMvN5Wvzmps/tmZKvcB52ylZ+BDB3hl8ivSUAY+TheHWz5aB7vNJgStVmgxEN58lalUCKsH8VJru8mmGENJ6e/HSjBrFNnJ+u4JRzU+hGnyjM/2E+XC1xGiIKbJ6RKuus40BzxKGR+HRWsZWuOIkGd8Qndyzi+pwaqDxULBYVSEHZkJ5pzmEuPT619vPqn43tSa5PPDyPSbHpJi2taxWrwSjqdGs1UriY7U99TOdthDgY/lyYubf9ldiJXNJ0xx1F5R1yTMs5+takBRZR2e+tZz3thhwZUr/tByqkv+2J1TY02/PxfQMtUFAPM35Os4ErdPRH1nrJyx+OWB8/H+zf4XOStnfCjwaQu9i+lZ3yaHzlIWpzQFsnCLu7hQfAItr21EY/OS0jOV9bj/863Cz24+t5PwtRVOsIGQ1z7Vh7CDs/zqOD3eGo3zxAWVehdXniqrxdJ9Z4TvrXzibpcQhYlt6B9Vp5DxOaMwrU68ky+mCKWdJ8sVbqvQ7PkDYZrA5+jRo7j99tuRm5uL6OhodO3aFc888wwaGqy1T1FbXT6wA3plSntgfLX5BMprGiXL2MtrGyVTXWsOtyx7Txalsl20LbsieWv9p77dhboQBT/yK+ZYi+xgLS6o1Hsrg9Ia6XHHyoFPW8nfv3WNTs1XJRldW1bTBaOwog6XvrXS4/ZJ/dhulGqawGfv3r1wuVx4//33sWvXLrz++ut477338MQTT+g9NKZFRYThf/eOxoyLe0lu/3bbScn2CqU1DUImQb7flLhOSKvGfEaj1Lxu8N8X4+jZatWfSz7VxXpPDbWI62gidV7eLG/GZ+WpLiXyiy0x+Saz2/LLJN9/O30ULsvLwoK7RoRiaKYQEyG92OmYEppi5/2FlR63vX5dHu4b3z0kz6cW01wKTpo0CZMmTRK+79KlC/bt24d3330Xr776qo4jY19EmN2jBiXcbpfsjVNQXuf1qlU8jcPQxtjMq2lw4v75W/HtdHWbr8mvmK2yoEi8HYjesZ58j6QeGXE6jYQdX941Ate+twYAkBDtveA5rPkNu+FoCX7YcRrxUS337ZuVgLycJLx5w6DQDtbgomTFzcdLalDX6FS99kfpnHDloGxVnyMUTBP4KCkvL0dKSorP+9TX16O+vmX+uKKC7bnJUJGvxjpWLM1EvLf8kNdKffGyd19t54kn+eusBnmNj9m6NXsjzkQq9X3RUpVsj6TpY7vpNBJ29BBtKxHjYyqGz/jwQZIYre7yj9JU76wf9+LZy/qq9hyHz1RpvumyWkwz1SV38OBBvPXWW7jzzjt93m/mzJlITEwU/uXk5Gg0QrbIr5CLq6U1CseKa4SeMHLiD9mA7ETVx2Zmoai/kU916Z390Io48FFaEq0lcX1cj4w4jz3xrMjfHl++lv5r1fjT6JQuduS72wfj510FGPd/y3HP3C2qPaaWmA98Hn/8cdhsNp//9u7dK/mdkydPYtKkSbj22mtxxx13+Hz8GTNmoLy8XPiXn6//Mlg9yC+QxV1nWxMRbsPyR8bgs9uHY0B2kroDMzm1ixBrGpowZ620S6tVmuclRUcKX+vdxFCc8ZHXrFiVOPCp9ZEpqKprwq+7CxV/RhkfNvxXxSBKD8xfhjz88MOYNm2az/t06dJF+PrUqVMYO3YsRo4ciQ8++KDVx3c4HHA4rLHc1xenrCiZ3+Ppkv6Z+GFHgc/fjQizo1NqLDqlxoZsfGblK+UfiL9/twfrj5ZIbvNVSGomt47shJd+cl8E6Z0ZEC+/Vtp004rEWQj5Agmxo8U1+NMnGxV/pndAS9y0XC4fCswHPunp6UhPT/frvidPnsTYsWMxZMgQzJ49G3bG9wthifzgfLbKHfi0i4/C3WO64p1lh7z+rnxrC+I/tQOf77efEr7OSYnGlQM74LZRuao+B6tiIsNx5/ld8P6Kw7oGPhzH4Z9LDgjfU8bHU02DE9PHdsXbS70fV5ToHdAayX3jumH+xnwUVrQE4WU1DUiKifTxW/6J0mi5fKiY5ox18uRJjBkzBh07dsSrr76KM2fOoKCgAAUFvrMVxE1elMxfsabGRuKS/u19/q7ePVOMzKZyc3dxkfqILql46KKelto4lp9OCWWDyNYUVEg3z6SCf0819U14+MKebf49mury30MX9cTihy6Q3Db8H0tUeT9G6dwuIljMZ3z8tXjxYhw8eBAHDx5EdrZ0OR31lmndkE7Jku/5GoVYRzj6dUhEZJjd60oZyvj457Pbh+OrzSfQOTUWsY4wvPD9Hp8p/0CI6yjkG6NaAR/46ZkZOFBYJfmeAh9P1Q3OgLq8P3hhjxCMxrwSoiIwZWg2vth4AoD7c7HucDFGdksL6nGjIpSP+Yk+2hSwxDRnrGnTpoHjOMV/pHV5OUmK21fwxbe+tgDQe3sAoxjdPQ2vXzcQ90/ojl6ZCQCgevdmcXbHSpkeHh/4/bRLv0zvgaKWwCcizIY3rh+o21hYVdPGvZwendQTvzx4Pu4e0zVEIzKv5y7rJ/n+q80ncc27q7H5eGnAj+mtH9CvsgwTq6x3ZCRenZPr2fOIL2LzdXUWYcETbLD4gFLtPhjiLI+/y4fNhG8cWFbTiFd+3tvKvUPjYJG7m+1947ph13OTMLJrcFfXZsK3u7iwTwYA4JVrBvj1e1HhYeiREW+ZnlRqkl+YfrX5BDYeK1Xsk+QvbxdVRtkX0HpHRuKdQnKMj+x9bXsQQUXkbcYHlGpMde0tqMCzi3bhbFW9JNhJijFG2llNvdq3rGB7e+khlNf435ZBLfubp7q6ZcRbMuvmy0fThuG5y/pi5pXugOfaof71TaPpwsB5O3YH85oafaWiaWp8SPAu7JOBr5t3ZufxmQlfvWAiwukqrK0Sot0fvbLmPdCCOUFe+uZKNLk4HCuulgQ+nS3YXmBC7wzJ9/VOJwBtA8D8Enejz1wLvv6tSYtz4NaRndv8e40+mhoS30KRJVPae85IyTi6HCGCSf0yPfoz8N+L92SRL8Gm4ua265AUjaSYCDQ6OewtCHyblBX7zwjLpTceK5UEUB0UarbMLsxuQ5xo01w9NgetrHPXr1gx4xYqTtrklSlKe3TFO4yTR6EzFhHYbDYM7yKt8+EDH/Ey0t8fHYt3pw4Wvqfl7G1ns9nQv4O73uGTNccCLsK/5aP1wtfyTQi7pltzY0zxa6n1svZGp0uYvowz0ImAdRf3z9R7CEREaVsR8WayrKMzFpGQz/tGN+/yK17KnhrnkCx/p4xPYDITogAACzadwKqDxUE/XqOTE+beZ1zcS/WdmI1C/A7Welm7eI+uuCgKfNSwZsY4dGtnje7jRqGUSb3jPOM0SqUzFpGQJx74k6f89nBRsEO1zYFJiWvpoLry4FlVHpMPUI2yuiLU1G4X0Bp+misqwk4XBCppn2i9KVuWHTpThQWbTkhuW3DXCNwyorM+AwoAfTKJhEsW4Xjbk8Um+dpAVW0MSRa1jlerHuT3A+4AysonXfFb+Mp3VmN/YaVmz80HPnEO46T9WUH9wIzhotdXeNw2tHNKQA0p9WLdoyNR5DnVpRz4JEZHoEt6LDqnxiAlNvi9X6wuQeX5cSufRDhZX4a/Ldyp2XPzHc8TaJqrzcQXUOHNJ9HcNFoZFyqBrsIyQ2sB+nQSCY+pruaGeCmxkSipbkByc2bCbrfhlwfOB+C7xw/xj1Pl5bqU8WnhbauVUKisc/cNovqeAIgOI1lJ0fj67pFUIB5C4Sodt4144WvdoyNRJJ/q4tOXn95+Dib0boe5d5wr/Cw8zC6p9SFtc82Qlj3l1C7CtXLgI6dl9qu81h34qJ3BswLxXynMbkNanMOyBfpa8NWbzV8psZH48q4RKoxGW3R0JBLiwGfOn4YLX/fNSsS/bx2G3u0T9BiWKaXFOXBtc/CjdhFuuIWnuv4kW12iZRBYVFkPAGhHxeVtJj4Pa92GwIrkGZ+DRZV47Zd9qKjzv9v5s5f1NWTbDAp8iIR4leKoIHfwJa3jm0EGkvGp9bHPl5V7Kz0woYekxkbLwKewog4AkJ5AgU9biTMQ53ZJ1XEk1iAvRp74xu9487eDeG7Rbr8fI8KgZQ7WPToSRbSbvbYcEYEFPhzH4ap3V3v9uZXrriLC7BjTs53oe+1eCz7jkxEfpdlzGt2YnukAgJvP7YSlfx2DW0Z0wh3nd9F5VOYnz/jwRcubjpX4/RhGnVKnyjEiYYaKfSOJat5ioq2p/T2nK7HntPetLrRu3Mca8UFdy4PzqbJaAEA7yvj47Z2pg7HhaClGdk1FRJgdz1/eT+8hmU56vANnmoNynrfPhZPjsK+gEmU1DRjeSuatrsmYU5LGDNdIyFDcoy0+4/PfNcdQ7+dBJL+kBs8s8r1EW41d341M/DbWqgC/qLIO2/LLAAADOiRp8pxmEBMZjgt6pBs2e2AE3907Gq9NycPY5uwa4H3lodPJYeIbK3DdB2uFQF5MnEEVdyo3EnqnEQma6tKWeDf1pXvP+PU7E99YgQ1HS73+vH1iFM7NtXaNxHndW+rTXBpF89vzy+HigF6Z8eiYGqPJcxLij4yEKFw1OFuy1USj04W/f7cby/dLjzt1omxxQXPNGs/p4oTH6JUZj0sHZIVw1KFDgQ+REJ+ISeiJp6TC7TYUV9VjzCtL8cav+73+To2PoubJA9pjxaNjvTaetIrLB3ZAWvOWIN/vOI0mDXr55JfWAAA6p1LTPcImcSY4v6QW/1l5BLeKNjoGgJLqBuHrGNlxRLxZ9Vd/GYlYg/ZZorMckXj5mjx0TInBa1Py9B6KJYjn3TkAH68+iqPFNXjj1wMA3FdYR89Wt+kxacrAXdz9xCW9he+/2HjCx73VcaLUPS2Qk0J7SxE2+bpoUiKv+RS33Yg08EWyMcM1EjI9M+Ox4tGxeg/DMsQHD/l8eXltI55YuAPfbz+N16/Lw5WDsuW/7olmKgWO8JarVV+F4Go5VuzO+OSk0DQXYZM8g9Ma8dRYQ5MLE15bDgCw29Tr/KwH44ZshJjAn0XLdpfvP4O3fjsofJ/33C/4fvtpAMCD87cJXYF9ke9TZWXiJo4xjtBP/fGboXZrZ7yGbsQaZl7Vv02tLsRTxNtOlKG4eRqMA2BTofOzXijwIURHaXEOXDHQXSC4cMtJn/ed8fV2LYZkGlV1LRk0R4in/6rqm3C8xJ3x6ZVJ3c0Jm3pkxOPXhy7w+/7ife7EK7yMvgaGAh9CdOZvgeAPOwpavY/RD0ih8uZvB0O6uos/KSTFRBhy00ZiHW2Zonri6x14Z5k7C32kjbWGLKPAhxCdqbkyggKfFpMHtJd8L1+2qyZ+V3banJSwTmkfv9s/3qB436PFNXj5p334/cAZnK2qV7yPEVHgQ4jO2lpw6AvV+LSIigjDfeO7C9+3ZfPFtqponlaL99IUjhCWLdlb5PPnC7ecxI+ijLOB65oBUOBDiO7iKOMTMuLlt/fP24rGEPXzqaTAhxhEu/go9MyIR152ot+/8/Xmk0JhMwBERxi7TxgFPoTo7JL+7f2+gpJP10zqmxmCEZnHLSM6Sb7nl5yrjZ/qinPQVBdhW5jdhh/uPw/fTB+FQBdm9Wpv7AJ+CnwI0VlWUjR2Pz8JL18zoNX7yrusyjs0U8JHKjs5Bufkpgjfh2rXej7jk0AZH2IAYXYbbDZbQJ36E6LC8fqUgeoPSkMU+BDCgKiIMFwqK8b19/fEaKrLk3hTxVBNdfEduGmqixiJuMmnvxb8ZaTh96KjwIcQRkSKes34O/8uT1VfMciYmwaG0t8m9xG+Fu81pJaGJhf+s/IIACCeVnURAwkk45OREBWCkWiLLk8IYUS4KPDx90pM3KTvo2lDMbZnO9XHZXS92ycgOzkaJ0prQ5LxOVhUJXw9the9/sQ4HBH+BT6xkWF4/JLeGJ6bgsRo4wf3FPgQwiB/NwAUL9Ee3DHZ0G3kQ4nPpjWFoInh7uZ9wIbnpmBIp2TVH5+QUIn0o6P5H0fl4rGLewY0LcYqmuoihEH+pqDP754ufB2qwl0z4Hesf+qbnao/9tb8UgBA3yz/lwcTwoJ+HVp/z8ZEhpkq6AEo8CGESa1lfHplxmPh3SMxvEvoVyyZAb/cfG9BJQor6lR97DWHigFA8rcgxAheuSav1fuo2VmeFRT4EGJAnVNjMaijdFrFTtNcXjlFy912nChX9bHzS9z7dPUxeG8TYj2R4XZ8f99ozJ42DJP6ZuKGczp63Cc5xvg1PXLmC+UIMQFXK+vSk2PdByMbWoIdyvh45xTV9hwoqsKEPhmqPG6T0yXsYK1mB25CtNI3KxF9s9yF+U1OFz5ff1zy86QY8226SxkfQhjUWg1uYrTnwSiMMj5eiQOf2oYmH/dsmxrRlhjyZpKEGE24QrGzGTM+FPgQwqDWGhGmxroDH3EjMTtlfLwSBz51KvbyeX3xfuHrQHqiEMK65FjK+BBCNMApRD5f3DlC+Doz0d1ELM4RjnVPjMeWpy7UbGxGJM6gnSyrxebjpao87uxVR4WvqZUAMaMkyvgQQrSQHu/AVYM6SG5rn9jSMTVT9HVGQpQpr8rUJM74fL/9NK56ZzW2nyjTb0CEGESyCWt8qBqPEIb8+5ahmL8xH49O6oXoiDCcrW7AiuYd2cVdVjNN0DZeS06FDNq2E+UYkJ2k/WAIMYCbz+2EO87rIvTAMhPz/Y8IMbAJfTLw4S1DkRIbiejIMFw9uCXrE+9oSTmnxzv0GJ5huRSqxVMpS0aIh5vO7Yj2iVH460U9Db8ZqTeU8SGEYZP7t8eqg2dxTm4qoiPD8N29oxFmt3nsyk58U8r41IlWZAXi8Jmq1u9EiMG8cEV//P1yztQ1axT4EMKw8DA7XhZ1V/WnxTzxpLRKrq4xuNVd4/5veVC/TwirzBz0ADTVRQixqCcW7sCvuwtR3xRc5ocQYiwU+BBCLOtPn2zE8//b3abf+X77aSzYdEJy24/3n6fmsAghIUSBDyHE9F691vtmjHPWHff6Mx7Hcfh8/XFsyy/D9Lmb8dcvt0l+3pv26SLEMKjGhxBietcMyUZsZBj+MmdzQL//865CzPh6h8qjIoTogTI+hBBLGJabEvDv7i+sVHEkhBA9UeBDCLGEtDgH1swYhwm9ve/MvvtUBXadKpfcVlXfhNdEe3IRQoyNproIIZbRPjEaURHK13u1DU5c8ubvAIB9L0yCIzwMTheHfs/87PMx83KS1B4mISSEKONDCLEUp0IXZwA4XV4rfN3QvIP7kbO+mxTmpsVi/p/PVW9whJCQo4wPIcRSGp2egc+yfUX48PfDwverDxWjf4dE1Db4bnLYr0MiddEmxGAo8CGEWIxn4DNt9gbJ93d+ugkA8Ont5/h8pDgHBT2EGA1NdRFCLOXxi3v5fd+S6gafP4+NpGtHQoyGAh9CiKV0axePd6cO9uu+pa0EPmW1jWoMiRCiIQp8CCGW0yE52q/7ldb4DmxcXgqlCSHsosCHEGI5mYlRft2vtMZ3xufe8d3VGA4hREMU+BBCLCct1uHX/Vqr8clNi1VjOIQQDVHgQwixHLvdhk1/m4DVj4/zeb/WMj6EEOOhJQmEEEtKjWs967PqYDEA4K8X9UBtoxNNLg7vLz/cym8RQlhGgQ8hhLTivO7pwtYUFPgQYmw01UUIIa1IiY3UewiEEJVQ4EMIIa3ISvJv+TshhH0U+BBCCICRXVMVb59xcS+E2W3C96O6ue83oXc7TcZFCFEX1fgQQgiAOEc4wuw2ye7tURF2/Pn8LpL7/euGwfhxZwEmD2iv9RAJISqgwIcQQuCeznLKOjGnxETCZrNJbkuOjcSNwztqOTRCiIpMOdVVX1+PgQMHwmazYevWrXoPhxDCsH/fMhST+7fHgxf28PhZdCTtvk6I2Zgy4/Poo48iKysL27Zt03sohBDGTeiTgQl9MhR/FhVBgQ8hZmO6jM+PP/6IX375Ba+++qpf96+vr0dFRYXkHyGEAEA0BT6EmI6pAp/CwkLccccd+PTTTxETE+PX78ycOROJiYnCv5ycnBCPkhBiFDTVRYj5mCbw4TgO06ZNw1133YWhQ4f6/XszZsxAeXm58C8/Pz+EoySEGIkjnAIfQsyG+cDn8ccfh81m8/lv7969eOutt1BZWYkZM2a06fEdDgcSEhIk/wghBHAvZyeEmAvzxc0PP/wwpk2b5vM+Xbp0wW+//YY1a9bA4ZBuPDh06FBMnToV//3vf0M4SkKIGaX5sZEpIcRYmA980tPTkZ6e3ur93nzzTbzwwgvC96dOncLEiRMxf/58DB8+PJRDJISYUF5OEu4b313vYRBCVMZ84OOvjh2lDcXi4uIAAF27dkV2drYeQyKEGNi300fpPQRCSAjQBDYhhBBCLMM0GR+5zp07g+O41u9ICCGEEMugjA8hhBBCLIMCH0IIIYRYBgU+hBBCCLEMCnwIIYQQYhkU+BBCCCHEMijwIYQQQohlUOBDCCEysbQrOyGmRYEPIYQ0+2jaUHRMicEnt5+j91AIISFi2gaGhBDSVuN6ZWBcrwy9h0EICSHK+BBCCCHEMijwIYQQQohlUOBDCCGEEMugwIcQQgghlkGBDyGEEEIsgwIfQgghhFgGBT6EEEIIsQwKfAghhBBiGRT4EEIIIcQyKPAhhBBCiGVQ4EMIIYQQy6DAhxBCCCGWQYEPIYQQQiyDAh9CCCGEWEa43gNgDcdxAICKigqdR0IIIYQQf/Hnbf487g0FPjKVlZUAgJycHJ1HQgghhJC2qqysRGJiotef27jWQiOLcblcOHXqFOLj42Gz2VR73IqKCuTk5CA/Px8JCQmqPS6RotdZO/Raa4NeZ23Q66ydUL3WHMehsrISWVlZsNu9V/JQxkfGbrcjOzs7ZI+fkJBAHyoN0OusHXqttUGvszboddZOKF5rX5keHhU3E0IIIcQyKPAhhBBCiGVQ4KMRh8OBZ555Bg6HQ++hmBq9ztqh11ob9Dprg15n7ej9WlNxMyGEEEIsgzI+hBBCCLEMCnwIIYQQYhkU+BBCCCHEMijwIYQQQohlUOCjkbfffhudO3dGVFQUhg8fjvXr1+s9JMOYOXMmhg0bhvj4eLRr1w5XXHEF9u3bJ7lPXV0dpk+fjtTUVMTFxeHqq69GYWGh5D7Hjx/H5MmTERMTg3bt2uGRRx5BU1OTlv8VQ5k1axZsNhseeOAB4TZ6ndVz8uRJ3HTTTUhNTUV0dDT69++PjRs3Cj/nOA5PP/002rdvj+joaEyYMAEHDhyQPEZJSQmmTp2KhIQEJCUl4fbbb0dVVZXW/xVmOZ1OPPXUU8jNzUV0dDS6du2Kv//975K9nOh1DsyKFSvwhz/8AVlZWbDZbPjmm28kP1frdd2+fTvOO+88REVFIScnBy+//HLwg+dIyM2bN4+LjIzkPvroI27Xrl3cHXfcwSUlJXGFhYV6D80QJk6cyM2ePZvbuXMnt3XrVu6SSy7hOnbsyFVVVQn3ueuuu7icnBxuyZIl3MaNG7lzzz2XGzlypPDzpqYmrl+/ftyECRO4LVu2cD/88AOXlpbGzZgxQ4//EvPWr1/Pde7cmRswYAB3//33C7fT66yOkpISrlOnTty0adO4devWcYcPH+Z+/vln7uDBg8J9Zs2axSUmJnLffPMNt23bNu6yyy7jcnNzudraWuE+kyZN4vLy8ri1a9dyv//+O9etWzfuhhtu0OO/xKQXX3yRS01N5b777jvuyJEj3JdffsnFxcVx//znP4X70OscmB9++IF78sknua+//poDwC1cuFDyczVe1/Lyci4jI4ObOnUqt3PnTu7zzz/noqOjuffffz+osVPgo4FzzjmHmz59uvC90+nksrKyuJkzZ+o4KuMqKiriAHDLly/nOI7jysrKuIiICO7LL78U7rNnzx4OALdmzRqO49wfUrvdzhUUFAj3effdd7mEhASuvr5e2/8A4yorK7nu3btzixcv5i644AIh8KHXWT2PPfYYN3r0aK8/d7lcXGZmJvfKK68It5WVlXEOh4P7/PPPOY7juN27d3MAuA0bNgj3+fHHHzmbzcadPHkydIM3kMmTJ3N//OMfJbddddVV3NSpUzmOo9dZLfLAR63X9Z133uGSk5Mlx47HHnuM69mzZ1DjpamuEGtoaMCmTZswYcIE4Ta73Y4JEyZgzZo1Oo7MuMrLywEAKSkpAIBNmzahsbFR8hr36tULHTt2FF7jNWvWoH///sjIyBDuM3HiRFRUVGDXrl0ajp5906dPx+TJkyWvJ0Cvs5oWLVqEoUOH4tprr0W7du0waNAgfPjhh8LPjxw5goKCAslrnZiYiOHDh0te66SkJAwdOlS4z4QJE2C327Fu3Trt/jMMGzlyJJYsWYL9+/cDALZt24aVK1fi4osvBkCvc6io9bquWbMG559/PiIjI4X7TJw4Efv27UNpaWnA46NNSkPs7NmzcDqdkhMBAGRkZGDv3r06jcq4XC4XHnjgAYwaNQr9+vUDABQUFCAyMhJJSUmS+2ZkZKCgoEC4j9LfgP8ZcZs3bx42b96MDRs2ePyMXmf1HD58GO+++y4eeughPPHEE9iwYQPuu+8+REZG4tZbbxVeK6XXUvxat2vXTvLz8PBwpKSk0Gvd7PHHH0dFRQV69eqFsLAwOJ1OvPjii5g6dSoA0OscImq9rgUFBcjNzfV4DP5nycnJAY2PAh9iKNOnT8fOnTuxcuVKvYdiOvn5+bj//vuxePFiREVF6T0cU3O5XBg6dCj+8Y9/AAAGDRqEnTt34r333sOtt96q8+jM44svvsCcOXMwd+5c9O3bF1u3bsUDDzyArKwsep0tjKa6QiwtLQ1hYWEeK18KCwuRmZmp06iM6Z577sF3332HpUuXIjs7W7g9MzMTDQ0NKCsrk9xf/BpnZmYq/g34nxH3VFZRUREGDx6M8PBwhIeHY/ny5XjzzTcRHh6OjIwMep1V0r59e/Tp00dyW+/evXH8+HEALa+Vr+NGZmYmioqKJD9vampCSUkJvdbNHnnkETz++OO4/vrr0b9/f9x888148MEHMXPmTAD0OoeKWq9rqI4nFPiEWGRkJIYMGYIlS5YIt7lcLixZsgQjRozQcWTGwXEc7rnnHixcuBC//fabR+pzyJAhiIiIkLzG+/btw/Hjx4XXeMSIEdixY4fkg7Z48WIkJCR4nICsavz48dixYwe2bt0q/Bs6dCimTp0qfE2vszpGjRrl0ZJh//796NSpEwAgNzcXmZmZkte6oqIC69atk7zWZWVl2LRpk3Cf3377DS6XC8OHD9fgf8G+mpoa2O3S01xYWBhcLhcAep1DRa3XdcSIEVixYgUaGxuF+yxevBg9e/YMeJoLAC1n18K8efM4h8PBffzxx9zu3bu5P//5z1xSUpJk5Qvx7i9/+QuXmJjILVu2jDt9+rTwr6amRrjPXXfdxXXs2JH77bffuI0bN3IjRozgRowYIfycX2Z90UUXcVu3buV++uknLj09nZZZt0K8qovj6HVWy/r167nw8HDuxRdf5A4cOMDNmTOHi4mJ4T777DPhPrNmzeKSkpK4b7/9ltu+fTt3+eWXKy4HHjRoELdu3Tpu5cqVXPfu3S2/zFrs1ltv5Tp06CAsZ//666+5tLQ07tFHHxXuQ69zYCorK7ktW7ZwW7Zs4QBwr732Grdlyxbu2LFjHMep87qWlZVxGRkZ3M0338zt3LmTmzdvHhcTE0PL2Y3irbfe4jp27MhFRkZy55xzDrd27Vq9h2QYABT/zZ49W7hPbW0td/fdd3PJyclcTEwMd+WVV3KnT5+WPM7Ro0e5iy++mIuOjubS0tK4hx9+mGtsbNT4f2Ms8sCHXmf1/O9//+P69evHORwOrlevXtwHH3wg+bnL5eKeeuopLiMjg3M4HNz48eO5ffv2Se5TXFzM3XDDDVxcXByXkJDA3XbbbVxlZaWW/w2mVVRUcPfffz/XsWNHLioqiuvSpQv35JNPSpZH0+scmKVLlyoel2+99VaO49R7Xbdt28aNHj2aczgcXIcOHbhZs2YFPXYbx4laWBJCCCGEmBjV+BBCCCHEMijwIYQQQohlUOBDCCGEEMugwIcQQgghlkGBDyGEEEIsgwIfQgghhFgGBT6EEEIIsQwKfAghhBBiGRT4EEIIIcQyKPAhhFhC586dYbPZcPToUb2HQgjREQU+hBBCCLEMCnwIIYQQYhkU+BBCTO3jjz+GzWbDsWPHAAC5ubmw2WzCv2XLluk7QEKIpsL1HgAhhIRSt27dcOutt2LBggWorq7G1Vdfjbi4OOHnmZmZOo6OEKI1G8dxnN6DIISQUOvcuTOOHTuGI0eOoHPnznoPhxCiE5rqIoQQQohlUOBDCCGEEMugwIcQQgghlkGBDyGEEEIsgwIfQgghhFgGBT6EEEuIjIwEADQ1Nek8EkKInijwIYRYQnZ2NgBg165dOo+EEKIn6uNDCLGEt99+G/fccw/i4uJw0UUXITk5GQDwyCOPoGfPnjqPjhCiFQp8CCGW4HK58PLLL+Ozzz7DoUOHUFdXBwBYunQpxowZo+/gCCGaocCHEEIIIZZBNT6EEEIIsQwKfAghhBBiGRT4EEIIIcQyKPAhhBBCiGVQ4EMIIYQQy6DAhxBCCCGWQYEPIYQQQiyDAh9CCCGEWAYFPoQQQgixDAp8CCGEEGIZFPgQQgghxDIo8CGEEEKIZfw/jvkONSvBznwAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sampling period\n",
    "T = 1000.\n",
    "# Sampling time interval\n",
    "dt = 1.\n",
    "# Error\n",
    "std = 2.0\n",
    "# Length of data vectors\n",
    "sample_size = int(T/dt)\n",
    "print(sample_size)\n",
    "# Number of simulations\n",
    "nsims = 100\n",
    "\n",
    "seed = 1243487\n",
    "np.random.seed(seed)\n",
    "\n",
    "def gen_data(T,dt,std):\n",
    "    # Generate s = signal\n",
    "    time = np.arange(0.,T,dt)\n",
    "    #s = 0.5*a*time**2\n",
    "    s = np.sin(0.01*time) + 3.*np.cos(0.03*time)\n",
    "    #plt.plot(s)\n",
    "    #plt.show()    \n",
    "    # Generate n = noise\n",
    "    mean = 0.\n",
    "    # Generate T/dt Gaussian r.v., with unitary variance \n",
    "    n = np.random.normal(mean,std,size=len(time))\n",
    "    #plt.plot(n)\n",
    "    #plt.show()\n",
    "    # Generate data\n",
    "    d = s + n\n",
    "    return time, d\n",
    "\n",
    "# Array of simulations\n",
    "d = np.zeros( (sample_size,nsims) )\n",
    "\n",
    "for i in range(nsims):\n",
    "    tt, d[:,i] = gen_data(T,dt,std)\n",
    "    plt.plot(tt,d[:,i])\n",
    "    plt.xlabel('t',size=16)\n",
    "    plt.ylabel('d(t)',size=16)\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# Average over noise\n",
    "avs = np.mean(d,axis=1)\n",
    "# Plotting average\n",
    "plt.plot(tt,avs)\n",
    "plt.xlabel('t',size=16)\n",
    "plt.ylabel('$ < d(t) > $',size=16)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Generate Window function\n",
    "def gauss_window(sigma,sample_size):\n",
    "    # Window function sampled in time\n",
    "    def gauss(x,sigma):\n",
    "        norm = 1./(2.*sigma**2)\n",
    "        f = norm*np.exp(-(x**2)/(2.*sigma**2))\n",
    "        return f\n",
    "    gauss = np.vectorize(gauss)\n",
    "    x = np.arange(0,sample_size+1.,1.)\n",
    "    # Window (with periodic boundary conditions)\n",
    "    W = gauss(x,sigma) + gauss(x-sample_size,sigma)\n",
    "    return W\n",
    "\n",
    "smoothing = 2.\n",
    "W = gauss_window(smoothing,sample_size)\n",
    "\n",
    "# FFT of data\n",
    "tt, d = gen_data(T,dt,std)\n",
    "ck_d = np.fft.rfft(d)\n",
    "# Intialize vector of smoothed data\n",
    "d_filtered = np.zeros(sample_size)\n",
    "# FFT of window\n",
    "W = gauss_window(smoothing,sample_size)\n",
    "ck_W = np.fft.rfft(W)\n",
    "# Multiply FFTs and inverse FFT to get convolution d*W\n",
    "ck_filtered = ck_d*ck_W\n",
    "d_filtered = np.fft.irfft(ck_filtered)\n",
    "# Plotting intial and smoothed data vector\n",
    "plt.plot(tt,d,label='d(t)')\n",
    "plt.plot(tt,d_filtered,label='d*W') \n",
    "plt.xlabel('t',size=16)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 2\n",
    "\n",
    "The rate at which a ﬁnite resource (such as oil) is gathered depends on the diﬃculty and on the demand. Assume that the demand D increases with the fractional amount extracted E :\n",
    "\\begin{equation}\n",
    "\\frac{dD}{dt} = \\alpha E\n",
    "\\end{equation}\n",
    "\n",
    "Assume  that  the  diﬃculty  of  extraction   W    is  inversely  dependent  on the  fraction  remaining:\n",
    "\n",
    "\\begin{equation}\n",
    "W=\\frac{1}{1−E}\n",
    "\\end{equation}\n",
    "\n",
    "Finally,   assume   that   the   rate   of   extraction   R   is   the   ratio   of   demand to  diﬃculty:\n",
    "\n",
    "\\begin{equation}\n",
    "R \\equiv \\frac{dE}{dt} = \\frac{D}{W}\n",
    "\\end{equation}\n",
    "\n",
    "Assume  also  that  the  cost  C  of  the  resource  depends  on  the  extraction rate  and  on  the  demand:\n",
    "\n",
    "\\begin{equation}\n",
    "C = \\beta \\frac{D}{R}\n",
    "\\end{equation}\n",
    "\n",
    "where $\\beta$ is  some  scale  factor.\n",
    "\n",
    "Write a program that plots the extraction rate and the cost as a function of time, for this simple model. Good starting values are $D(0) = 0.1$, $\\alpha = 2.0$,  and  $\\beta  =  0.01$,  plotted over a total time range of 0 to 5.\n",
    "Use your own function to integrate the system of ODEs (no python libraries allowed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f(x,t):\n",
    "    alpha = 2.0\n",
    "    D = x[0]\n",
    "    E = x[1]\n",
    "    W = 1./(1.-E)\n",
    "    omega = 1.0\n",
    "    f1 = alpha*E\n",
    "    f2 = D/W\n",
    "    return np.array([f1,f2],dtype='float')\n",
    "\n",
    "def rk4(f,specs):\n",
    "    # Solve ODE with 4th order Runge-Kutta\n",
    "    h = (specs['t1'] - specs['t0'])/specs['N']\n",
    "    x = np.array(specs['x0'],dtype='float')\n",
    "    Nequations = x.size\n",
    "    xt = np.zeros((specs['N']+1,Nequations),dtype='float')\n",
    "    xt[0,:] = x\n",
    "    ts = np.arange(specs['t0'],specs['t1'],h)\n",
    "    for i in range(len(ts)):\n",
    "        t = ts[i]\n",
    "        k1 = h*np.array(f(x,t))\n",
    "        k2 = h*np.array(f(x+0.5*k1,t+0.5*h))\n",
    "        k3 = h*np.array(f(x+0.5*k2,t+0.5*h))\n",
    "        k4 = h*np.array(f(x + k3, t + h))\n",
    "        x += (1./6.)*(k1 + 2.*k2 + 2.*k3 + k4)\n",
    "        xt[i+1,:] = x\n",
    "        \n",
    "    return ts, xt[:-1]\n",
    "\n",
    "\n",
    "D0 = 0.1\n",
    "E0 = 0.\n",
    "\n",
    "specs = {'x0': [D0 ,E0], 't0':0., 't1':5., 'N': 100}\n",
    "\n",
    "t, x = rk4(f,specs)\n",
    "\n",
    "beta = 0.01\n",
    "\n",
    "D = x[:,0]\n",
    "E = x[:,1]\n",
    "W = 1./(1-E)\n",
    "R = D/W\n",
    "C = (D/R)*beta\n",
    "\n",
    "plt.plot(t,D)\n",
    "plt.xlabel('t',size=16)\n",
    "plt.ylabel('D(t)',size=16)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(t,E)\n",
    "plt.xlabel('t',size=16)\n",
    "plt.ylabel('E(t)',size=16)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(t,R)\n",
    "plt.xlabel('t',size=16)\n",
    "plt.ylabel('R(t)',size=16)\n",
    "plt.show()\n",
    "\n",
    "plt.plot(t,C)\n",
    "plt.xlabel('t',size=16)\n",
    "plt.ylabel('C(t)',size=16)\n",
    "plt.yscale('log')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
