{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Le but ici de cette première tache est de créer un \"raster plot\" qui montre la reproducibilité d'un train de spike avec des répétitions du même stimulus. En particulier, nous allons essayer de répliquer la figure 1 de [Mainen & Sejnowski (1995)](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.299.8560&rep=rep1&type=pdf). \n", "\n", "Ce notebook a été élaboré lors d'un TP dans le cadre du [Master 1 de sciences cognitives de l'Université d'Aix-Marseille](https://formations.univ-amu.fr/ME5HSC.html).\n", "" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "fig_width = 15\n", "phi = (np.sqrt(5)+1)/2\n", "phi = phi**2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Mainen & Sejnowski, 1995\n", "\n", "## contexte\n", "Le but de cette première tache est de créer un \"raster plot\" qui montre la reproducibilité d'un train de spike avec des répétitions du même stimulus, comme dans ce travail dans la [rétine de rongeurs](https://laurentperrinet.github.io/2019-04-03_a_course_on_vision_and_modelization/#/1/3) ou dans le [cortex (V1) du chat](https://laurentperrinet.github.io/2019-04-03_a_course_on_vision_and_modelization/#/1/6).\n", "\n", "Ici, nous allons essayer de répliquer la figure 1 de [Mainen & Sejnowski (1995)](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.299.8560&rep=rep1&type=pdf):\n", "\n", "![Mainen Sejnowski 1995](http://i.stack.imgur.com/ixnrz.png \"figure 1\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QUESTION: écrire un résumé rapide du papier (max 5 lignes) et pourquoi ce résultat est *a priori* surprenant:\n", "\n", "REPONSE: Le but de l’étude était de déterminer directement la précision temporelle avec laquelle les neurones corticaux sont capables d'encoder un stimulus dans un train de pics. Lors d'un examen de la fiabilité de la génération de pics à l'aide d'enregistrements de neurones dans des tranches néocorticales de rats. \n", " Dans cet article les auteurs ont étudié la réponse d'un neurone de la couche 5 du cortex en fonction de deux types de stimuli. Le résultat principal semble *a priori* surprenant car on s'attendrait à obtenir une réponse reproductible pour un signal continu et une réponse non reproductible pour une sigal bruité, or, cet article semble démontrer l'inverse. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# représentation du temps" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "dt = .5 # pas de temps\n", "time = np.arange(0, 1000, dt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Création d'une fonction temporelle (version séquentielle):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "inputHidden": false, "jupyter": { "outputs_hidden": false }, "outputHidden": false }, "outputs": [], "source": [ "start = 150\n", "end = 750\n", "value = 200\n", "\n", "def Inp(time=time, start=start, end=end, value=value):\n", " x=[]\n", " for t in range(len(time)):\n", " if start < time[t] < end :\n", " x.append(value)\n", " else:\n", " x.append(0)\n", " return x\n", "\n", "I = Inp(time)\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.63 ms ± 100 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" ] } ], "source": [ "%%timeit\n", "I = Inp(time)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "version vectorisée:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def Inp(time=time, start=start, end=end, value=value):\n", " I = np.zeros_like(time)\n", " I[time>start] = value\n", " I[time>end] = 0\n", " return I\n", " \n", "I = Inp(time)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "21.3 µs ± 8.13 µs per loop (mean ± std. dev. of 7 runs, 100000 loops each)\n" ] } ], "source": [ "%%timeit\n", "I = Inp(time)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QUESTION: essayer de décrire pourquoi le temps de calcul pour créer le vecteur est différent dans les deux versions:\n", "\n", "REPONSE: Le temps de calcul est plus rapide quand le code est vectorisé. La vectorisation automatique du code, est une fonctionnalité du compilateur qui permet à certaines parties des programmes séquentiels d'être transformés en programme parallèles équivalents afin de produire du code qui sera optimisé pour un l'unité centrale de traitement (CPU)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(fig_width, fig_width/phi))\n", "ax.plot(time, I)\n", "ax.set_xlabel('Time (ms)')\n", "ax.set_ylabel('I (pA)');" ] }, { "cell_type": "markdown", "metadata": { "heading_collapsed": false, "level": 2 }, "source": [ "## un modèle simple de neurone intègre-et-tire `leaky_IF`\n", "\n", "Commençons avec cet équation du potentiel membranaire:\n", "\n", "$$\n", "\\tau \\cdot \\frac{dV}{dt} = -(V - V_{rest}) + R*I(t)\n", "$$\n", "\n", "avec émission d'un \"spike\" si $V > V_{rest}$, et alors $V= V_{rest}$ pour $3 ms$.\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "inputHidden": false, "jupyter": { "outputs_hidden": false }, "outputHidden": false }, "outputs": [], "source": [ "Vthreshold = -53\n", "def leaky_IF(time=time, inp=I, tau=30, v0=-69, R=0.11, \n", " Vthreshold=Vthreshold, Vreset=-80, Vspike=30, \n", " VRest=-70):\n", " V = np.ones_like(time)*v0\n", " dt = time[1]\n", " for t in range(len(time)-1):\n", " dV = dt * (-(V[t] - VRest) + R*inp[t])/tau\n", " V[t+1] = V[t] + dV\n", " \n", " if V[t]>Vthreshold:\n", " V[t+1]= Vspike\n", " if V[t] == Vspike:\n", " V[t+1]=Vreset\n", " \n", " return V\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QUESTION: régler le paramètre $R$ pour obtenir une dizaine de potentiels d'action - quel est l'interprétation de ce paramètre et quelles est l'unité de mesure?" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "V = leaky_IF(time, I)\n", "fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", "ax.plot(time, V)\n", "ax.plot(time, np.ones_like(time)*Vthreshold, 'g--')\n", "ax.set_xlabel('Time (ms)')\n", "ax.set_ylabel('v (mV)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "REPONSE: Ce paramètre est la résistance de notre modèle, représentée en $\\Omega$ (ohm). On observe qu'un $R$ grand nous fera atteindre le V(seuil) plus rapidement et fournira un profil de décharge haute fréquence contrairement à un $R$ plus faible." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QUESTION: quel est l'effet de $I_0$ sur la fréquence de décharge?" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "I_0= 125.0\n" ] }, { "data": { "image/png": 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K1BL6ejIzgQSIiM7GliRJkiRJqpdaQt+lEfElYEpEvAP4OfDlxpYlSZIkSaqHWgZn/1REvBhYDRwA/HtmXtPwyiRJkiRJw7bN0AdQhDyDniRJkiSNMlsMfRGxhuI+vqFk5qSGVCRJkiRJqpsthr7MnAgQEf8HWAZ8AwjgVGCvEalOkiRJkjQstTzI5cTMPD8z12Tm6sy8ADip0YVJkiRJkoavltC3NiJOjYjWiGiJiFMpxuyTJEmSJO3cagl9bwJeDzxSvF5X9EmSJEmSdnK1DNlwP17OKUmSJEmjUi1n+iRJkiRJo5ShT5IkSZJKzNAnSZIkSSW2tcHZ37e1D2bmp+tfjiRJkiSpnrb2IJeJI1aFJEmSJKkhthj6MvOjI1mIJEmSJKn+tnlPX0TsHxHXRsTtRfuQiPi3xpcmSZIkSRquWh7k8mXgXKAXIDP/CJzSyKIkSZIkSfVRS+gbn5k3bdbX14hiJEmSJEn1VUvoezQi9gMSICJOBpY1tCpJkiRJUl1s7emdg84GFgAHRsRDwF+ANze0KkmSJElSXWwz9GXmfcDxEdEJtGTmmsaXJUmSJEmqh60Nzv7mzPzm5oO0RwTg4OySJEmSNBps7UxfZ/E+1CDt2YBaJEmSJEl1trXB2b9UTP48M6+vnhcRxza0KkmSJElSXdTy9M7P19gnSZIkSdrJbO2evqOBY4Dpm93XNwlobXRhkiRJkqTh29qZvjHABCrBcGLVazVwcj2+PCLeHxEZEdOKdkTE5yLinoj4Y0QcWo/vkSRJkqRd1dbu6fsV8KuI+FpmLqn3F0fELOAEYGlV90uBecXrSOCC4l2SJEmStANqGZy9IyIWAHOql8/MFw7zuz8DfAC4vKrvJODrmZnAjRExJSL2ysxlw/wuSZIkSdol1RL6vgf8F/AVoL8eXxoRJwEPZeb/DI77V9gHeKCq/WDR95TQFxFnAmcCzJ49ux5lSZIkSVLp1BL6+jLzgu1dcUT8HNhziFkfAv6VyqWdOywzFwALAObPn++4gZIkSZI0hFpC348i4p3AfwPdg52Z+fjWPpSZxw/VHxHPBOYCg2f5ZgK3RsQRwEPArKrFZxZ9kiRJkqQdUEvoe1vx/s9VfQnsuyNfmJmLgD0G2xFxPzA/Mx+NiCuAd0XEd6g8wOUJ7+eTJEmSpB23zdCXmXNHopDClcDLgHuALuD0EfxuSZIkSSqdbYa+iBgPvA+YnZlnRsQ84IDM/HE9CsjMOVXTCZxdj/VKkiRJkrY+OPugrwI9wDFF+yHgYw2rSJIkSZJUN7WEvv0y8z+BXoDM7AJi6x+RJEmSJO0Magl9PRExjsrDW4iI/ah6iqckSZIkaedVy9M7PwJcBcyKiEuAY/EBK5IkSZI0KtTy9M6fRcQtwFFULus8JzMfbXhlkiRJkqRh2+blnRFxbWY+lpk/ycwfF+PpXTsSxUmSJEmShmeLZ/oiYiwwHpgWEbux8eEtk4B9RqA2SZIkSdIwbe3yzn8A3gvsDdxa1b8a+EIji5IkSZIk1ccWQ19mngecFxHvzszPj2BNkiRJkqQ6qeXpnV+KiPcAf1u0fwl8KTN7G1aVJEmSJKkuagl95wPtxTvAW4ALgL9vVFGSJEmSpPqoJfQdnpnPqmr/IiL+p1EFSZIkSZLqZ5tDNgD9EbHfYCMi9gX6G1eSJEmSJKleajnT98/AdRFxH5VhG54GnN7QqiRJkiRJdbHN0JeZ10bEPOCAouvuzOxubFmSJEmSpHrYZugrBml/J3AckMBvIuK/MnN9o4uTJEmSJA1PLZd3fh1YAwyO1fcm4BvA6xpVlCRJkiSpPmoJfc/IzIOq2tdFxJ2NKkiSJEmSVD+1PL3z1og4arAREUcCCxtXkiRJkiSpXmo503cYcENELC3as4G7I2IRkJl5SMOqkyRJkiQNSy2h7yUNr0KSJEmS1BC1DNmwZCQKkSRJkiTVXy339EmSJEmSRilDnyRJkiSVmKFPkiRJkkrM0CdJkiRJJWbokyRJkqQSM/RJkiRJUokZ+iRJkiSpxAx9kiRJklRihj5JkiRJKjFDnyRJkiSVmKFPkiRJkkrM0CdJkiRJJdbW7AIkCSAz6e4bKF79dPcO0NM/QP9A0lu89w0kff1J30DR7q/09Q8M0NufVcsMFP3JQCYDWVn/xmkYyCz6BqfZpD34mQQGBqqXK/qqlqnUX/1bindyiL6tLFe9jqr/XZ7aV9tym65v0zpziHnSUNLNQ1sxbkwr73/xAczefXyzS5G0FYY+SdstM1m9vo9VXT2s7OplVVcPT3b3sba7jye7+1m7Ybryvran0reut5/1vRtD3YaA1zdAT99As38WEdASQUtARBBsbLdEEEX/xnbRV/X5DesqejftG1yuqnOzz+7IOuIpE1tfbsN3VX1giJIkaZuWPt7F/Y+u5ftnHUN7qxeQSTsrQ58koBLkVnX18sia9TyyuptHnljPI6vXb2ivXNvDyq4eVnX1smpdL/0DW//z/5i2FiZ0tNHZ0UrnmDYmdFReu3e20tHeQkdbCx1trYxtr7x3tLUU/cV0Wwtj2lpob22htSVoawnaWltoa4kh2+2tQWtL1fzWoDUq07FZcKt+bynC3WCgkyTV7id/XMbZ37qV86+7l3OOn9fsciRtgaFP2oX0DyQPPN7F/Y+tZenjXSx5bPC1lgdWdrG+96ln23Yb384eE8eyW2c7+8+YyJTxY9htfDtTO8dsmJ4yvp0JHe10drQWQa/Nv/hK0i7g5YfsxTV37s3nfrGYFxw4nUNmTml2SZKGYOiTSuqJrl5u/+sT3LVsNXc/vIa7H1nDnx9Zs0mwG9vewtOmdjJnWid/u/909p4yjhmTOpgxaSx7ThrL9IkdjG1vbeKvkCTt7D564jO48b7Hee93/8CP3nUcnR0eXko7G/9fKZXAwEDy5+VruHXJKm5bupJbl67k3hVrN8yfNqGDA/ecyKlHPo0DZkxk7vROnjZ1PNMndnhJoyRpWCaPb+fTr38Wb77w95x72SLOO+XZ/tsi7WQMfdIo9dCqdfx28Qp+s/hRbrj3MR5f2wPA1M4xHDp7Cq85dCbPmjmFA/eayLQJHU2uVpJUZsc8fRrvP+EAPnn13Rw6ewqnHTu32SVJqtK00BcR7wbOBvqBn2TmB4r+c4Eziv73ZObVzapR2plkJn9+5EmuXLSMq25/mLsfWQPA9IkdPP+A6Ry73zTmz9mN2VPH+xdWSdKIO+t5+3Hb0pV87Cd38cyZkznsaVObXZKkQmQTBuCJiBcAHwJenpndEbFHZi6PiIOAbwNHAHsDPwf2z8z+ra1v/vz5uXDhwobXLTXDA4938b2FD/DjPy7jvkfXEgGHP20qJxw8g+fOm87+MyYY8iRJO4Un1vVy4hd+y9ruPv77nccya6rj90kjJSJuycz5Q81r1pm+s4D/yMxugMxcXvSfBHyn6P9LRNxDJQD+rjllSs3R3dfP1Xc8wndvXsr19zxGBBy97+6cftxc/u7gGewxcWyzS5Qk6Skmj2vnwrcdzmsvuIHTvnoTl511LJPHtze7LGmX16zQtz/w3Ij4OLAe+KfMvBnYB7ixarkHiz5pl7BybQ+X/H4JX7thCY8+2c3M3cbxvhfvz8mHzWTvKeOaXZ4kSdv09D0msOAth/GWC2/iHd9YyDfOOIKONp8ELTVTw0JfRPwc2HOIWR8qvncqcBRwOHBpROy7nes/EzgTYPbs2cMrVmqy5avXc/4v7+W7Nz/Aut5+nrf/dM44bi7HPX0aLS1euilJGl2O3Hd3Pvm6QzjnO3/g7Etu5fxTD2NMm+O3Ss3SsNCXmcdvaV5EnAVclpUbCm+KiAFgGvAQMKtq0ZlF31DrXwAsgMo9ffWqWxpJT6zr5Uu/upeLrv8Lff3JSc/ehzP/dl8O2HNis0uTJGlYTnr2Pqxe18v/c/kdvPvbt/KFNx1Ke6vBT2qGZl3e+UPgBcB1EbE/MAZ4FLgC+FZEfJrKg1zmATc1qUapYfr6B/j675Zw3rWLKze9P2tv3vfi/ZkzrbPZpUmSVDdvOXoOfQPJR390J+d85zY++4bneMZPaoJmhb6LgIsi4nagB3hbcdbvjoi4FLgT6APO3taTO6XR5pYlK/m3H97OXctW89x50/jgSw/k4L0nN7ssSZIa4vRj59I/kHzsJ3exZv3NXPDmw5jQ4VDR0khqypAN9eaQDRoN1vX08x8/vYuLf7eEPSeN5d9feRAvfcaeDrcgSdolXLrwAc69bBEH7z2Ji047nGkTOppdklQqO+OQDdIuZdGDT3DOd2/jvhVrOe2YOfzT3x3gXzklSbuU18+fxe6dYzj7W7fyqi9ez5fecphXukgjxIuqpQbKTBb8+l5eff71dHX3880zjuQjJx5s4JMk7ZJe9Dcz+O6ZR9PXn7z2ghu4/A9DPq9PUp0Z+qQG6erp413fvo3/e+WfePFBM7jqvc/luHnTml2WJElN9axZU/jRu4/jkH2mcM53/sBHrriD9b0+wkFqJEOf1ABLH+viNeffwJWLlvEvLzmQ8089lCnjxzS7LEmSdgrTJ3ZwyTuO5PRj5/C1G+7nlZ//LXf89YlmlyWVlqFPqrPbH3qC11xwPcueWM/XTj+Cs56/nw9rkSRpM+2tLXz4lQdz8duP4Il1vbzqi9fzhV8spqdvoNmlSaVj6JPq6Pp7HuUNX/odHW2t/OCsY3je/tObXZIkSTu15+0/navf+7eccPCefOpnf+al5/2aG+59tNllSaVi6JPq5Jo7H+G0r97EzN3G84OzjuHpe0xodkmSJI0Ku3WO4YtvOpSvnnY4vf3Jm778e971rVu5/9G1zS5NKgUfISjVwXV/Ws47L7mFg/aaxNfffiSTx7c3uyRJkkadFxy4B0fvtzvn//JeFvz6Xq66/WHecPgs3vOiecyYNLbZ5UmjloOzS8P0qz+v4B1fX8j+MyZwyd8fxeRxBj5JkoZr+er1fP4X9/Dtm5bS2hK8fv4szjhuLnOmdTa7NGmntLXB2Q190jD84YFVnLLgd+w7bQLfeseRPqFTkqQ6W/LYWr543T388La/0jswwEsO3pPTjpnDEXOn+qA0qYqhT2qApY918erzr2d8Ryv//c5jmTaho9klSZJUWstXr+drN9zPN29cwur1few7rZPXzZ/Faw/bhz0meumnZOiT6mzl2h5e+1838PjaHn5w1jHsN92HtkiSNBK6evq4ctHDXHrzA9x0/+O0tgTH7Lc7L3vmXpxw0Ax294+w2kUZ+qQ66usf4K0X3cTCJSu55O+P5PA5U5tdkiRJu6R7VzzJ9295kCsXLWPJY120BBwxdyrH/80MnjtvOvvPmOAloNplGPqkOvrEVX/igl/eyydPPoTXzZ/V7HIkSdrlZSZ3LVvDVbcv46e3P8zi5U8CsMfEDo57+jSO3m93Dn3abuw7rdMQqNLaWuhzyAZpO/zsjoe54Jf38sYjZhv4JEnaSUQEB+09iYP2nsT7TjiAh1at47eLV/CbxY9y3d3Luey2hwCYMr6d58yawqGzd+OQWVM4cM+J7DGxwyCo0vNMn1SjpY918fLP/4Y5u3fyvf91NGPbW5tdkiRJ2oaBgeTeFU9y69KV3LpkFbc9sJLFy59k8BB4yvh2DpgxkQP3nMj+e05kzu6dzJ46nr2njKO1xTCo0cMzfU3wPw+s4u6H1zB9YgfTJ3awx8QOdp/Q4c5jlOofSN536R8g4fxTDzXwSZI0SrS0BPNmTGTejIm84fDZADyxrpe7lq3m7ofX8KeH13D3w6v5/i0Psranf8Pn2luDmbuNZ/bUymvPyWOZMWkse04ay4xJHcyYPJaJHW2eJdSoYOhrkKuKywCrtQRM7awEwOkTO5gyvp0p49qZPK6dSePamTJ+DJPHtTNlfKVvQkcbnWPaGDemlTFtLU36JQL48m/uY+GSlXz69c9i1tTxzS5HkiQNw+Rx7Ry17+4cte/uG/oGBpJlq9ez5LG1LH2siyWPd7H0sS7uf2wtty1dyer1fU9Zz7j2VvaY1MGU8WPYbXw7u40fw5TifbfxlWO7KePb6exoqxzXdbQxYUwbnR2ttLV6bKeR4+WdDbK+t58Va7pZvqabFWu6WbFm/abtJ7tZ1Rr0X7IAAAw2SURBVNXLE+t6Wb2+l239Z2hvDca1t9LZUQmBg2Gwc0wrY9sroXBMa0vlvXh1VLdbWxjT1lrVDloiaGsNWltaaI2gtWXTV9tm7eplBue1RBBRuZY+AgI29jE4rzLdMrgcbPjMaHDXstWc9IXredHf7MH5px46auqWJEn109XTx/LV3Tyyej0Pr16/YXr5mm5WdvWwqqt3w/uT3U8NiJvraGvZGASL47uOtpbi1UpHe9V0W0vR3rhMe1sL7S0tleOy1qBtcLqqXXmvHLO1t1bPrxz7RVTOhLbEpsdvg+2W4uCuuj14bDfYbhlFx3Rl5+WdTTC2vZVZU8fXdFZoYCBZs76PJ9b1smpdT+W9q5e13X109fTT1TP43l/p6+2nq5j36JM9rOvtp6dvoPLq3/R9Zze406gOghumtxAUq/crsWE98ZS+wfVv3jvYN/Ryle+t7lu9rpdJ49r5+Kuf6U5NkqRd1PgxbcyZ1sacaZ3bXLanb4BVXT2sLP7Av7a7jye7+6re+1nbU5nu6u7jye5+uvv6Wd/bz5PdfXT3DtDd109330Dl1VuZ7hvYeU/WbAyCTz2eG5y/YdkNn4lN2tWNTY/Ttr2OTfueusKtHf/FNo8TNz3+m9o5hh+9+zhGE0PfTqClJZg8vp3J49uZTf0uHcxMevtzYxDcEAz76elLBjLpH0j6BirvG16Z9A8M0D8A/QMDT51f9ZmBTDIhi++rTCcDyYbpzI3zBjbvg6J/4/TG/qHXs+H3bfidVb+Zqvm56XKbLzs4Z5PPD7GuIHjTkbOZ2jlmx/5DSJKkXcqYthb2mDSWPSaNret6+/orIXB9bz99xfFYX//GY7Xe/oENx2l9/UnfQNHuHzx2G6C3f+Ox3EBxEDdQHHNVjusqR0ADAxv7YPNlNh6nDfazWXtwPbDZ8dtmx2dDHXsNdQVcrceAm/ZtvtwQddS4jmoTx46+CDX6KlbNIoIxbVG5H7Cj2dVIkiRpONpaW2hrbaGzw0N4bR/vIJUkSZKkEjP0SZIkSVKJGfokSZIkqcQMfZIkSZJUYoY+SZIkSSoxQ58kSZIklZihT5IkSZJKzNAnSZIkSSVm6JMkSZKkEjP0SZIkSVKJGfokSZIkqcQMfZIkSZJUYoY+SZIkSSoxQ58kSZIklZihT5IkSZJKzNAnSZIkSSVm6JMkSZKkEjP0SZIkSVKJGfokSZIkqcQMfZIkSZJUYk0JfRHx7Ii4MSL+EBELI+KIoj8i4nMRcU9E/DEiDm1GfZIkSZJUFs060/efwEcz89nAvxdtgJcC84rXmcAFzSlPkiRJksqhWaEvgUnF9GTgr8X0ScDXs+JGYEpE7NWMAiVJkiSpDNqa9L3vBa6OiE9RCZ7HFP37AA9ULfdg0bds8xVExJlUzgYye/bshhYrSZIkSaNVw0JfRPwc2HOIWR8CXgT8Y2b+ICJeD1wIHL8968/MBcACgPnz5+cwy5UkSZKkUmpY6MvMLYa4iPg6cE7R/B7wlWL6IWBW1aIziz5JkiRJ0g5o1j19fwWeV0y/EFhcTF8BvLV4iudRwBOZ+ZRLOyVJkiRJtWnWPX3vAM6LiDZgPcW9ecCVwMuAe4Au4PTmlCdJkiRJ5dCU0JeZvwUOG6I/gbNHviJJkiRJKqdmXd4pSZIkSRoBhj5JkiRJKrGoXFE5ukXECmBJs+sYwjTg0WYXoVJzG1MjuX2pkdy+1EhuX2q0nXEbe1pmTh9qRilC384qIhZm5vxm16HychtTI7l9qZHcvtRIbl9qtNG2jXl5pyRJkiSVmKFPkiRJkkrM0NdYC5pdgErPbUyN5PalRnL7UiO5fanRRtU25j19kiRJklRinumTJEmSpBIz9EmSJElSiRn6GiQiXhIRd0fEPRHxwWbXo9EnImZFxHURcWdE3BER5xT9UyPimohYXLzvVvRHRHyu2Ob+GBGHNvcXaDSIiNaIuC0ifly050bE74vt6LsRMabo7yja9xTz5zSzbu38ImJKRHw/Iv4UEXdFxNHuv1RPEfGPxb+Pt0fEtyNirPsw7aiIuCgilkfE7VV9273Pioi3Fcsvjoi3NeO3DMXQ1wAR0Qp8EXgpcBDwxog4qLlVaRTqA96fmQcBRwFnF9vRB4FrM3MecG3Rhsr2Nq94nQlcMPIlaxQ6B7irqv0J4DOZ+XRgJXBG0X8GsLLo/0yxnLQ15wFXZeaBwLOobGfuv1QXEbEP8B5gfmY+A2gFTsF9mHbc14CXbNa3XfusiJgKfBg4EjgC+PBgUGw2Q19jHAHck5n3ZWYP8B3gpCbXpFEmM5dl5q3F9BoqB0z7UNmWLi4Wuxh4VTF9EvD1rLgRmBIRe41w2RpFImIm8HLgK0U7gBcC3y8W2Xz7Gtzuvg+8qFheeoqImAz8LXAhQGb2ZOYq3H+pvtqAcRHRBowHluE+TDsoM38NPL5Z9/bus/4OuCYzH8/MlcA1PDVINoWhrzH2AR6oaj9Y9Ek7pLgM5TnA74EZmbmsmPUwMKOYdrvT9vos8AFgoGjvDqzKzL6iXb0Nbdi+ivlPFMtLQ5kLrAC+Wlw+/JWI6MT9l+okMx8CPgUspRL2ngBuwX2Y6mt791k77b7M0Cft5CJiAvAD4L2Zubp6XlbGXHHcFW23iHgFsDwzb2l2LSqlNuBQ4ILMfA6wlo2XRQHuvzQ8xSVzJ1H5A8PeQCc7yRkVldNo32cZ+hrjIWBWVXtm0Sdtl4hopxL4LsnMy4ruRwYveyrelxf9bnfaHscCJ0bE/VQuQX8hlXuwphSXSsGm29CG7auYPxl4bCQL1qjyIPBgZv6+aH+fSgh0/6V6OR74S2auyMxe4DIq+zX3Yaqn7d1n7bT7MkNfY9wMzCueIDWGyo3FVzS5Jo0yxb0GFwJ3Zeanq2ZdAQw+DeptwOVV/W8tnih1FPBE1SUJ0iYy89zMnJmZc6jso36RmacC1wEnF4ttvn0NbncnF8uP2r94qrEy82HggYg4oOh6EXAn7r9UP0uBoyJifPHv5eA25j5M9bS9+6yrgRMiYrfibPQJRV/Thdt7Y0TEy6jcL9MKXJSZH29ySRplIuI44DfAIjbec/WvVO7ruxSYDSwBXp+Zjxf/6H2ByuUtXcDpmblwxAvXqBMRzwf+KTNfERH7UjnzNxW4DXhzZnZHxFjgG1TuLX0cOCUz72tWzdr5RcSzqTwkaAxwH3A6lT82u/9SXUTER4E3UHna9W3A31O5f8p9mLZbRHwbeD4wDXiEylM4f8h27rMi4u1UjtcAPp6ZXx3J37Elhj5JkiRJKjEv75QkSZKkEjP0SZIkSVKJGfokSZIkqcQMfZIkSZJUYoY+SZIkSSoxQ58kqfQiYveI+EPxejgiHiqmn4yI8xv0ne+NiLfWYT3fiYh59ahJkrRrcsgGSdIuJSI+AjyZmZ9q4He0AbcCh2Zm3zDX9TwqY429oy7FSZJ2OZ7pkyTtsiLi+RHx42L6IxFxcUT8JiKWRMRrIuI/I2JRRFwVEe3FcodFxK8i4paIuDoi9hpi1S8Ebh0MfBHxy4j4TEQsjIi7IuLwiLgsIhZHxMeKZToj4icR8T8RcXtEvKFY12+A44sgKUnSdjP0SZK00X5UAtuJwDeB6zLzmcA64OVF8Ps8cHJmHgZcBHx8iPUcC9yyWV9PZs4H/gu4HDgbeAZwWkTsDrwE+GtmPisznwFcBZCZA8A9wLPq+kslSbsM/2ooSdJGP83M3ohYBLRSBC9gETAHOIBKULsmIiiWWTbEevYC7tqs74qqdd2RmcsAIuI+YFbR//9FxCeAH2fmb6o+uxzYm6cGSUmStsnQJ0nSRt1QObsWEb258cb3ASr/ZgaVwHb0NtazDhg71LqLdXVX9Q8AbZn554g4FHgZ8LGIuDYz/3exzNhinZIkbTcv75QkqXZ3A9Mj4miAiGiPiIOHWO4u4Onbs+KI2BvoysxvAp8EDq2avT9w+46VLEna1XmmT5KkGmVmT0ScDHwuIiZT+Xf0s8Admy36U+Ab27n6ZwKfjIgBoBc4CyAiZgDrMvPhYRUvSdplOWSDJEkNEBH/DXwgMxcPcz3/CKzOzAvrU5kkaVfj5Z2SJDXGB6k80GW4VgEX12E9kqRdlGf6JEmSJKnEPNMnSZIkSSVm6JMkSZKkEjP0SZIkSVKJGfokSZIkqcQMfZIkSZJUYv8/B/e8wdONwkAAAAAASUVORK5CYII=\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "I_0= 500.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for rho in np.linspace(0.5, 2.0, 5):\n", " I_0_ = rho*250\n", " print('I_0=', I_0_)\n", " V= leaky_IF(time, Inp(value=I_0_))\n", "\n", " fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", " ax.plot(time, V)\n", " ax.set_ylim(-83, 40)\n", " ax.set_ylabel(\"potentiel de membrane (mV)\")\n", " ax.set_xlabel('Time (ms)')\n", "\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "REPONSE: La valeur `I0` mesure l'intensité du courant entrant injecté, correspond à l'injection d'un courant constant. Plus la valeur est haute, plus la fréquence de décharge augmente." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plusieurs essais montrent que c'est parfaitement reproductible, contrairement à la figure:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "inputHidden": false, "jupyter": { "outputs_hidden": false }, "outputHidden": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_trials = 15\n", "V1 = np.zeros((n_trials,len(time)))\n", "for i in range(n_trials):\n", " V1[i, :] = leaky_IF()\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", "ax.plot(time, V1.T)\n", "ax.plot(time, np.ones_like(time)*Vthreshold, 'g--')\n", "ax.set_xlabel('Time (ms)')\n", "ax.set_ylabel('v (mV)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QUESTION: ce modèle semble ne pas reproduire les résultats, une explication?" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", "ax.eventplot([dt*np.where(V1.T[:, i] == 30)[0] for i in range(0, n_trials)], \n", " colors='black', lineoffsets=1, linelengths=0.9)\n", "ax.set_ylabel('numéro essai')\n", "ax.set_xlabel('Time (ms)')\n", "ax.set_xlim(time.min(), time.max())\n", "ax.set_ylim(-.5, n_trials-.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "REPONSE: Ce modèle ne semble pas reproduire les résultats, car il n'y a pas de variabilité dans le signal d'entrée. Il faut ajouter du bruit dans ce signal pour imiter l'entrée de nature variable qu'aurait un neurone in-vivo." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Création d'un input bruité\n", "\n", "Un modèle linéaire de diffusion permet de créer simplement un bruit:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "inputHidden": false, "jupyter": { "outputs_hidden": false }, "outputHidden": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def Bruit(time=time, tau_n=15, I_n=1000, I_0=200, start=start, end=end):\n", " dt = time[1]\n", " x=np.ones_like(time)\n", " for t in range(len(x)-1):\n", " n = np.random.randn()*I_n\n", " x[t+1]=(1-dt/tau_n)*x[t]+ (dt*n/tau_n)\n", " \n", " x += I_0\n", " x[timeend] = 0, 0\n", " \n", " return x\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", "ax.plot(time, Bruit())\n", "ax.set_xlabel('Time (ms)')\n", "ax.set_ylabel('I_b (pA)');" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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2cLauHoQKq0wOYdijkPmFhCw46l8aIoT0NOPTeSwdTqPgeLApBnqWpD6EKodwMF3MyWLIKOlWsgnFUFaPDYRFZRgyChyas+EGzUWHs/6UT1UQni24jQlCI7nKaMpk7iYhCxUKQkJIhAMzBaxdPIb9M3mGC/YwSav4Kmc0bRowDIG0aSDHc4B0KVkrKmbu+dCFGEiZ2DOZAwAcnC0kPa2vmJizobIrVXio3og+bdUfKHZgpoDHd09hYtbGosFidVcjyONMyk8mhHQ3DBklhESYyTsYyVp+4QCusPcU2ZSBo5YNAUhexVfbVMhdxjLYdoJ0LQPp6BRmxUgWI9kUjlgyBMsQ2LRnukMj6x4OzdqYCvoNhg6h1ncwZdY/Ddw75VcR/cFvt0e2KyFoUxASsuCgQ0gIAeDn22wZn8FM3sVQxheEzCHsHaSUyNleGC6WFDKqKgeqSWI2bTJklHQtGSs53DFtGThm+XDZxuz9xMScjUzgAo5koiGjAGAZjfsCKkRUoUJ0XeYQErLgoENISB8yV3Dxvfu2QcqiKPjUDY/jDz9/O+ZsFwNBX68CxUBPIKXEHZvGARTDxpImbWqFXxWHGEqb+O6927Du/ddiMmfP02gJqY1KoYkvOWUV7tpyAPv7vCde3nExHXMIB9N6yGh9PQh14mJS5RUm5RcSQrobCkJC+pDP3bgR7/vBQ7h1495w211bDoS3hzImUmZy4QCy8PjxAzvw5v+6BwAwHLSTSAoZVZ+3Kts/mLag5tzbD8zNw0gJqR0V0v7vbzyz5LHnHLMUAPDQ9ol5HVM34GlC2XElpnOBIAwWg0xDIBtUEW7GIYxHm9qhQ8jfDUIWGhSEhPQhU8EEYddELtymhxAOpplD2Ets2TcT3h4JXIKkkFFVpl/lEEZCy8zGnQRC2oE6hy86aWXJYyesHAHg99rrN1wt8sN2vWIOoVZMRt1uJIdQEW9Jo4pSKQFKCFk4MIeQkD5kdMB3iSbnij/cegjhUMZE2qIg7BV08adEXtJnq/ZT4k8PLVMVBAnpFpQAieeyAUAqyJvrR7dKf88F14PSh3qbDnW7mZDR2UI0pUBdU8b7PEyXkIVIVziEQghTCPGAEOJ/g/tHCSHuFkJsFkJ8VwiRDrZngvubg8fXdXLchCxU1Oqwnhemi4aBVFBUhn0IewK9QfeiYDHg8zc+UbKfmtCpkFHdIezHiTXpbmzXg2UIiITFCitskt5/563+XbUdGWkno1CFZhoJGX3XBccCKBWEqqjM/plCJGyVENL9dIUgBPBuAI9p9z8F4PNSymMBHATwtmD72wAcDLZ/PtiPEFInasIwp/2g65OI4YwVOIT8Ue8F9EnxGWsXAwAOzpYWiXE9CSEAwyh1COkWk27D8WTZkEflaHuy/65h8ZBRJZzV9xooOoSNhIy+9w9PwEDKxFwhGhpqO8XXPTTHIlSELCQ6LgiFEGsAvAzA14L7AsAFAH4Q7PINAK8Mbr8iuI/g8QtF0tIgIaQiuaB66Kz2g64XGdmwbjFSpghXfEkpUzkb//iTR8IKft2MLvYHMybe+6Lj8cyB2ciCAOAXlUlpjsFQuugQ9qPTQrqbguOVzW1VDuGnf74Rx37wuvkcVsfR3Tnb81BwvJIG9MohTAq3rYXBtJngEBbvT1IQErKg6LggBHA5gPcBUDPPpQAOSSnVLGs7gNXB7dUAtgFA8PhEsH8EIcSlQoj7hBD37du3r51jJ2RBkgt+yGfyyQ5hNmUiZRpwPclQwTJ8995tuOrOp3HKP/080r6jG3Fin+3S4QwAlLSScNzoBDub1kNGkxcH9k7m8NT4DD7wo4cx1WetKeYKLj5yzSOY4OS3IzieFwmD1NHdsH5bzNCv2dc/vBu2myQIG3cI1fMcV2J8Oo/XfPk32D2Ri0SUvOAzv2zo7xJCOkNHi8oIIV4OYK+U8n4hxAta9XellF8B8BUA2LBhQ3/9EhBSA3O2LwR1dys+aVITBdv1YBrJDaD7GVWYBwBmCm6kgl+3oYu5rGWGuYEzMXfT8WTorADRnKOk8OGv//op/PPPHg3vr1k8gHe+8NiWjbvb+c49z+B/7noag2kTH3jpSZ0eTt9hO7Ji9VvLEOF1zV/sMHBwpgBPynBRpBfRQ0afOTCLO7fsLxF+6rg1KgjN4Nh+995tuO/pg7jqzq0lOeeuJ8OepoSQ7qbTDuF5AP5ECLEVwNXwQ0W/AGBMCKFmV2sA7Ahu7wCwFgCCxxcB2D+fAyakF8jZ/g+3LgjiuTZpTRCSUjLaivuh2UIHR1KdqENohLmBukMMBEU6tAmiLgiT+hbqYhBA3zll6rvRbw5Ut2C7XkVBo38uuUCsnPHRG3HWZTe1fWydJG7m7zg4V+KkqoWfRtvJWKaA63nhdcEyRMkC07YDsw39bULI/NNRQSil/ICUco2Uch2A1wO4RUr5RgC3AnhNsNtbAPwkuP3T4D6Cx2+R3R6rRUgXkuQQxr9KKsSIhWWSydlFMXUooUBLNxEPBw4dwlhRCDfuEGqi1y4TMqoTnxD2Ouqo0gTpDLYny4aMxsnbbvWdegQ3di2fKbglIaPKuav1+MVRDqGKPjAMUXI92T/D9hOELBQ67RCW4/8C+HshxGb4OYJXBtuvBLA02P73AN7fofERsqBRTo7+Ax6vz5SiQ5iIlBLfvvsZHJgpisBuF4TRliImhkKHMFYl0I1WbdQnkUkOYZy5Ppp0Awj7u7FHY2ewKxSViZProxY6SS0f4sJPXe8bdggNAdeTxd6lhiiJOIg3rieEdC9dk/QipfwlgF8Gt7cAODthnxyA187rwAjpQTbtmQJQGjKoo6rPsRdhlDs2jeODP344su3QXJeHjGqiPuoQRj9/x4tOsHVBGC8qkzTpzNv9da6oMGsWu+4Mjlc5ZFSnrxzChO9mKtaA3hTN5hAauP6R3ZH7M3knUn2Uvx2ELBy61SEkhLSJ7977TNiDTm87EJ/SKjHA1hNRZgulYZGTc90dKqlHkGUsA0NBAZzZvIO84+LBbYcA+C6gHjKaqlBUJimEtN8cQiWKqQfnh+se3oXfBecqABRcGcl5rUSujxYrknJaSx1C//9G207ED7tlCEznHSweTIfbmG5AyMKBgpCQPuJnv9uJ//tD391607lHIue4ZVsmMGS0dnJdLoT0T9gwBAZTviCczjv41PUb8corfo3Ne6d9h1DrQ6gXzrn5sT2RcyVpshfva9jrqMUSZrK3Hykl/vpbv8Urrvh1uM12PKRrFDR5p3/OzXiBMAAlOYTqun7iqtGGXsM0on/PkxIzBQdLh4uCkA4hIQsHCkJC+ogrbt0c3l61KAspi3keasX4jeccAUAThA5nuzp6XowSTN3ujMXnh3rBoE17/fDhbQdnfYfQTG47cc2DO/GD+7eH952EhYJuPw6tRoXG9ZPY6BT7Z0rDsusJGe0nhzAxZDR2nD7y8mfhkxefivVrxxp6DStWSSnveJjJuxGHUG9UTwjpbromh5AQ0n4GtEbjAyn/ds52kU2ZcDyJ1561Bv/6ilMAMGS0HHpl1tGBFMan813vEJa0FLGK7q/qpzgxa8P2oiF4cVfh6f3FMvJJ50W3H4dWowRhv73vTrB1fAaAf05u3D2FTXunUHAlBtI15hD2kWhPEoTxwkdHLh3CkUuHGn6NeH/BjbuncGCmgGOWD+O2J/YBoENIyEKCDiEhfYSqLgkUxaFaObcdD4sGUuEPvcotYcholOlcURAOpk0MpMyuFwTxz9A0BAzhb18UCMLdkzkUHBcZTRDGJ5H630mqOtrtx6HVKJe030JlO8FUsBAzkDLx4stvx998+wE4bu0ho/3kEKoFoM++dj3e8fxj2vIacYfw2od3AQAuPnN1uI2CkJCFAwUhIX2EXkBAOYQqzM92JVKaI8TG9MlMaYLwnKOWYCBldn2oZJJ4S5kGCq6HVDCxu/ahXZjKORjOFhcN4s6iHi6bdF50+3FoNap4Rz+JjU6hqoTqQsR2ozmvFZ8fcwh7uYWxcgiXDKWxcjQDoNTRaxb976nP5MRVIzhh1QhWjPivybYThCwcKAgJ6SOcSIPyIP+t4ML1pC8ONHdI3eYqbxRd9Jy+djGyKRNzhe4+Rk5CRdC0acB2ZBj2+PCOCfx+5ySGM0VBGA8908NEWVSm+H3qNyHcCZToNiOCMLqIVYl4S5SkSpy9glrIMQwRhn23WhAqEXjJ2Udg8ZCfN3jM8mGkTAO3v++FAFhllJCFBAUhIX2EEnevf/ZaZFUOoePivd97EAAi4VdhDiEFYQRdJB0+lkU2ZSSGSm4dn8E5H78JOw7NzefwIkgp4XoycWKWsgzYroc5241MFqMOYfQ5dhWHsJ+afwNayCgFYdtRx1g/V3O2W3PbhLhD2MvXNfXVNIVAxvKv8422lyiHqjKaMkUYTbJmyUCwjb8dhCw0KAgJ6SNs18P5xy7DJ199WrGoTMHFNQ/uBFCcSADFCposKhNFF0KLB9N4ct8Mrn14FyZzdmS/79z7DPZM5vGTB3fM9xBDPvjjh3HMB69LdAhTpvAFYcHFMcuHwiqzI5ogXBtM8BSFKjmEBcfrqxBj5TL1U9PzTpFLEIQzeQepGkNG42G9vXyeqkUrwyg6ebWG1taKCiZJmUYottcsHgweEzANwSqjhCwgKAgJ6SMcT4Yrxao5uSoGAACzdjE/TjmE8VCrfkcJoVecfjhOOqzYw2vbgdnE/TuZqvSde7YBSG4dkrb8HMLZgotFAyksCcrFj2ghoycfvgi3/cMLwvu6CCy3UKAX3el16BDOH0rQ6TmEMwUXKat2h1DPG+xl90p9N9OmES5axIvANIsVOoTF11i7uLiAlDaNnj7GhPQaFISE9BEFp5gneMKqERyzfAjfuvuZ8PHZfHFiq0KN8j28kt4IjiexemwAX3j9GUhbBk4P+njFTTiB1k7A6kUPY00Sb6lgwjYXtB1RDqGeQwggUppeLzqq9yFcPpLBuy44FgBKnNJehjmE88eOQ/6Ci1751vVkTc6XIXxBadewoNELHJr1ezaODabC76nV8pDRYjVqNziuyiEE/O/EV+94qqWvSQhpHxSEhPQRtuuFRRhSpoGLz1wTeXymkOQQcrKr43heZHL19y86HkBpjpKat1arZnhgpoADCU23m+Ull98e3p4ruFizeAC//P9eEG5Lm34Ooe16yFhGmC84kk2V/Zv6O1GT63/642fh7g9ciFNWLwIQrcLaC9zwyG7ct/VA4mMqNK/biwotdFxP4pt3+QtXW4J+hIp4r8wkMpbfGkYPne5l9+rQrL8os3gwXXQIzdZO99T1LWUaeM0G/3dkzeKBkv16uZorIb0EBSEhfYTtyrAAABDNFwPiDiFzCJNwXBkJv1LFeeIl1mtdjz/zozfizI/e2KrhhWzVmsjPFhyce/RSrFtWdPtSpgHblf4igWmE4mY4dk7ouJrDYgeT6/Vrx2AYIjyXes0hfMc378dr/uPOxMdUCC0XTdrLbKH8IkMtxVKyKQN5J+oQ9moFzJzt4vpH/DSARQOp8Hvd6pBRtYCUMg186KUn4YGPvCi8FgLA284/CkDvHmdCeg0KQkL6CH/yr/ePKl4Cjl4+hL8L3C6g2IfwMz/fiGf2J+fH9SOOF+19poRz3CFUdMMC+WTOKZk4q6IyKozYC2Z4I5nyglB3WFRuqTpPRgNnsdccQp27tuyPVJlVx4Mho7Xxu22H8MiOibqfN5Mvf3xrCRlVDqFeSKZXHcIP/vhh3LXFd7Qt08BrzlqDV55+ON594XEtfR3l/KVMAcs0wtYTilWjWQBcUCRkoUBBSEgfYcd6Deqhjzf93fNxwqqR8L4RrCh7Enj7VffO3yC7HMeVkeOWSSUX31EhVd3S7iw+cX5qfAZ3bBrH7smcLwhldYdQX+3fut8P3VNhYkoQTs71lkOouP/pg3j9V+7C5Tc9EW5T4XiOJ3u6amWreNW//xov/9Kv6j5WMxUcwlpCRpVDWEtRpIXOg9sORe4PZSxc/vozsHQ409LXkZpDmARTDghZWFAQEtJH6EVlgGi4lVEhpIhhP0UcT0byccLiOzHHIQwnLOMcthMvQYXGi0ocDPKMcraHdI05hLo79viuSRy+KIuxoDrp0ipf/U8AACAASURBVGH///1tyIfsBlQorD7hjgiMHnWcWok6feoWhPnygvDJfdNVn99PDuF8VYX2QoewsiDsVeFNSK9BQUhIH2G7MrKiXmtvKrPF+ScLGT9kVHMIg+MZDxtUVT7j/c/mg6Q8vnITNwBImwKucggTQkZfc5ZfNEKfUO+dyuPwsWIRiaGMhcG0iX1T+YbH3c2o46KLE10gu90QG7xAqHeBqVLI6GtihbGSyKZNzNlupPJurzq6agFKtPmSrQRhueqlaTanJ2RBQUFISB8RzyGspSAD0PqCBAsZO1ZURgnCD/zo4ch+SgjO2fOfU5fk0sU/Q/1+yjQwEBSESBKEn3ntepx37NIwRBLwKxmODUbdxOUjmZ4VhGpRRBcntpZTmeTKkmTcOo9VOYfwn//4WXjuscvKPu/773gOvvbmDVg0kMIdm8bxos8XK+/2qlBR1x2jzYpQRRgsGkiOKFCh9L16nAnpNSgICekTPE8GjenrdwgruUv9hutFcwj1ynoKz5O4fdM+AJXdjXonxrVyMBCEbzzniHBbvOz89e/+g/B22jLw3b88F+990fEYSJe+HwAwDSMiCCfmbIzGJoPLhudHEE7mbKx7/7W49qFdbX8txVzB/xz1fLaIQ0hBWDNOgzmEp61ZFNn+Z+cdVfF5z163BBc9ayWWDJaKll51CJUAa/cS3pYgVPfU1YsSH1cOYTyUnhDSnZSvHkAI6SnUD7PKeQOK4T7VFpNb3dR4IeO4HizNRcskFLWYtV3smsgBAKYqtGGoVE6/GZRDuDKo9AcAQzGhp4u5lGngxFWjOHHVaNm/mTJEZCI/OWeXuANDGQsTs+3PIVRVb6+4dTNedtphbXmNHz+wPZKPpaqn6m6VnkPIkNHKeJHqrPUdq9lAjF/xhjOxezKH1/7HnagnaEHluer0Ym5bznbD99XukNEvXnIGrnlgBw5blE18PCwqQ0FIyIKAgpCQPkHllmRTelEZ/3a18CI6hEV8l1Vr3aEdGyklhBCRMKlKbRiU66Q/txUcDAVhsbJgvMqg7gTWUqnRMkUogGYLDqbyTokgzFoG9sxjzmQ7Jdjfffd3kfsq9HdW+8ycSMhoGwfTA+gCzKk7h9A/9mODqfC8rUdTLhlKEIQ9KFT+/L+L1aBFmz3C5x6zDM89pny4rrqmvPrLv8GTH38p89AJ6XI4yyOkT0h0CIMf6Wq/1bXmGvYDjitLJjfr144BKBbL0CuLKkHouB7Gp6PhlDMFvchF6+SNcgiXaSIwnhs4qIW6pmsQ/JZhhALo23c/AwBYMRJ1B7Ipc16qqirdLOfRlZsr+O9ddzxcbXGADmFl9OPm1KmeVdj1YNoKc13rIVEQ9qBDeOeW/cU7Hb5k678zuydzHRwJIaQWKAgJ6RNU+Jse4mhVcQjVKq9ZY65hP2B7Xkk+3h8HYYt5x8XW8Rk85xO3APCFtgoZ/ZefPYoNl90UCTnUw0lbKaQOzBQwmDYjzl9cEFpl2o+UwzJFGOo3HbyH126IVnjMpox5qaqqtNd8arCk8F7blaGYZlGZyujnd70hozMFB9mUAdMQDQnCs49aUrLN7kGHUCepONR8ov/OzOfCDSGkMTjLI6RPUBOyTKpUCJQThNngRz3FcJ8Q15MlxyOj5cvcs/VAuH3ZcAY7J3L48DUP42cP7QQQLUqih5O2Mtfm4EwBS4bSkUInJx42Unb/VC0ho4YRhvrN2S4yllESSpxNmcjNg0OoCoLItgaNRtHDexWuJ5EJBAqLylRGD9FspA+hEjiqX+qLT15Z8/OPWzFcOp4edAh1vnvpuR19fX0BgHqQkO6HOYSE9AnJIaPKIUx+zllHLsatG/dVbFrfb/gho1EhpDen14XDkqE09k7l8c27ngm36cJhck53CFs3Qd0fCEI1EXve8csj4aOKRQMpTMzZNeWIWobAjkNz+OZdTyNXcBOrkWZTZqTXW7tQ4bXzqcHifSb9cXihUGHIaGXiobb1MJN3MJguTld+909/iMEy1XCTSMrNbWWIdrfxytMPx3Eryy8AzQdrlwx29PUJIfVBh5CQPiF0CK3aHcIvveFMAMBoNrnXVL/guB7+87YnMVtwSno5AkXXNW+7EeGQ1KOrXMGZ3RNzLRvvwdkCFg+mw+bR5SJCVweN5ZMqpcZRlWY/fM0jmLPdxNC9rOWHjLY7REw5TN48ijC9mMxPf7cTbtDGRX32DBmtTNQhrP1Y5WwX1zy4E3uninloiwZSTRe66uXql91wKq4YyeIzr10PgA4hIQsBCkJC+oRKOYTlilsOZyysWzoIt89LKN66cR8+cf3juOzaxzBnuyVFZfSQUV04jCQIaX0iOqnlEG7eO92y8e6dzGPFSAYbjlyCZcNpvOvC4xL3e/sfHIXjVgzjOUcvrfo39Qn49+7bnigIVfhkuyfbobho8UTz0qvuw5uuvBvbD86WPKY7vx/60cPYsm8aridxzHI/HJEOYWUadQg37fG/F63OTe3FKqOKbjkT1VVyPkO7CSGNwZBRQvqEMGQ0lVBltEJIqGkI2N2w5NxBVFigqq4Zz0mKhowWXb/RgdJLrB5SqRxCIYBnDpSKkEZwPYl903msHM1i0WAK9334RWX3vfjMNbj4zDVlH9eJi+BsgiBUIjFve4mPt4qC5hCe98lbcPoRY7gicLOb4ReP7gEAnP+pW0sem9VDRgXw6K5JAMD6NWO45fG9bDtRBf28r6cxvfqs169JboDeKPWMYaHRLUVcitWAOzsOQkh16BAS0ickh4wGVUQr9L+zDANuD+fb1EJ8hfucmKMWOoS2G3EekkJtdack73hIWwaGM1ZYWr9Z9s/k4Xoy0oOwFVixuNNyOYQA2l5YRoWMOp7EjkNzuPahXW19PQARob96bCDM/1wRHOdrH97Z9jEsZPTw6HqqjKrqrh95+bOaev0PvfSkyP16C9ssJLrlah0Kws4OgxBSAxSEhPQJxaIyxa+9Mn0qNUQ3DVF3mfheIx7iFs9fUnlkOceLTH5Gs6UO4VzBxdfu2IKZvAPH9ZA2DQymzcQqlo0wPuX3IFw+0lpBmIoV0kkMGQ2FcXsn22oyv/1g6/Iuq6FCgZ93/HJM5RxMBa03VJ7oFbc+ia3jM/M2noWG3mKlnj6Eeg/CZviL5x0d3hait6uMdo1DGASNdst4CCHlYcgoIX2CWqHXnR31M12piKhlir7PIXTcuCAUsfu+EHI9L1IwYzShqMzPfrcT379/O7YfnIOUEpYpMJS2MD6dx7r3X4t/e8MZePlphzc8VjXR1avJtoK0VdpiIo5yEettPF4vttP6CWa1SasShGMDKew4NIf/d8NGvy+e9n06pFWNJVEiDmEdEQfKIRzKtO58HkpbKLThHOoWukV/0SEkZOFAh5CQPkBKiY/85BEAfvU3xfLhDF595hp87S0byj7XokNYEl4WdwhVfp3tykhuUlLI6N6pPAC/lH7BlUiZBgbSJjbv84tnfObnG5saqxLv8Zy/ZlkylI7cTwoZVW1M2t2TL98Gd6da0RKVA6dXjrUMEQm3LjgeHts1iXXvvxZP7Jlq+RgXInsnc1j3/mvx/fu3hdvquZ7MFFrjEOoMpM2eDBldGnxHzzpycYdHEqVbBCohpDwUhIT0AU/umw5/lHWhYBgCn33depy2Zqzscy3DmPem23MFF1+5/Ukc/6HrW1p9s1Hi7z+eT6cLIX2ymxS2OR2EGn7//u3IOy5Shu8QPr3fLyrTbDVF5b7Ex9gsy4ZjgjBV+vOhzq1GFxB+tWkcv9k8XnU/uw0VItXnUo7QIRwsCkIhot+nguPhhkd2AwD+8PO3476tB1o+zoWGKr7zyI7JcFtdOYT5djiEvSkIT1g1guUjGbzt/KM6PRQAeioCFSEh3Q4FISF9gBIZz15X/8qxaYi6QrxawSevfwwfv+5xFFwPNzziFwyxXQ9P7+9Mjla8ymo8n64YKikjE82kKqN6LtWmPdNIWQbufbooHPJNFmRR4tUyWnt5jy8aJOUQqqq1jS4g/J8r78YbvnZ31f12HGp97mA1QaiqwOoOoYCI9PAsuG4knPg/b9/S4lEuPJLOhHoqfM4UXAiRfL7Vi2pmP5C2erLthONJHLN8qGJO+HwSykHqQUK6HgpCQvoAFe72Nxck96OrhGWKtueExdkzmQ9vK5ftE9c9jud/+pfYO5kr97S2EZ/AljqESgh5EfGclMd3aLYoCIXww0/1CVOzDqESr60OGT18bABPXPZH+LPnrgOQnEPYrENYC7sncvjp71pf0XO2EBWEf1umd2NEECY4hLsmiudnqwv7LEi0U0EVHXI8idf9x534q2/eX/XpOdtF1jJbInJ+8s7z8KGXnoRsyujJojKuJ1u+ENQMzCEkZOHQPVcOQkjbUCKjkVV20xDzGjL66Z8/jtue2BfeV/O2u7bsB1DMwZtP4gKnXA6h40YdwoxVeonVx2+7EpYhIkV9vCaX01UOodViQQggbJEBRPtZKkxNGLeDguPh3E/cjH1tOAfiQvyt560Lb19y9trw9oiWF5pNmdBPhbzj4dCsHR6HXnShmkHloTquxD1bD+D6ILy2EnnbRTYhPLkRjls5gr943tFImUZPhow6nmz5QlAzFKuMdngghJCqUBAS0gcoh7CRiZVlGPNaVOaKW5/EnNbEWjk3qrVDsyGV9TJbcHD1Pc9EtsUFoVqVdzxZEl5aicd2TSJtGfj5e54Xbmt2QqccynZNDEN3NGGWZ2nCWEqJidnWVt3cfnA2vB0vctMsE3OFyH1d+L3vxSdq24thwMMZKxoy6niwXQ/HLh/GaWsWtUW41sJfXHUfvn/ftuo7zgN6D8/Fg/5nVs+CgerV2UoylhGpBtwruJ7XloWgRik6hL13rAnpNSgICekDVKPwpDC/amQsIxSUnUAV85ivHndx/vVnj+K3zxwK78fDBIFoqKQKL/2T9Yfj2BXDeN9LTqj491OmgeNWjuC1Z60J7zdDmEPY4qIyijA8NkEQmloO4fWP7Mb6f/0FHtx2qGS/RlGFdwBgzeKBlv3d6x7ehbd+/b7INv0zTmmCZCgTFYSRkFHX88P2TIGxwXRH2lAUHA83ProH//CDh+b9tZPQTxMl4nUxVq3/Zt7xWt5CJWUaPeneOm63OYQ+dAgJ6X4oCAnpA9Skq5GQ0SVDaRyYKVTfsU3c+eR+/ObJ8XBSmJ/nidyWWLPxJMEWiiTXzyE89+gl+OIlZ0AIgb9+wbEV/7567qdefRpedcbqugpuJOGERWXaMzE0NTc0jhKhrpR4eMcEAOC2jftK9muUvVPF/LxVo9nIY14TLvYP799e8fGUKfCTd56HD7/sJAxr1S5feOLyUofQk7BMA6NZC1MtEISzBacu8bKzDQV3mkEXA6pCq56TrBdZSiLvuImh182QMkVPhoyqxYhuQZQPJiCEdBkUhIT0AblgQplpIGR06XAaB2fteZ9AZSwDY4Mp3LllP97w1bvDcNe5eXQr33Tl3bjnqWjrgFSC0IpUGfW8EtF49lFLqr6WYQisHhvArO1WbZJeiXZVGVUUxW+SQ1gUi6vHfAdPD/NsloL2mitjgvDGx/Y0/Hf3TVcO7UybBtavHcPb/+BoDGeKoaR//6ITSorKOK6HlCEwOpDCZBWxUwsvvvx2vODTt9a8/7bgeA9nWte3rxn0hYMwh1DbVq2IUt72GrpuVSJl9m5RGbOLisooj5Aho4R0P9105SCEtIk9QeXDRkJGlw37lRLnwyXUXR5D+P35FKpAwUyV9gCt5I5NpT3xrESHUOtDGBSK0VHtPl5y8qqSENIZrbrlQNqElM25oEq4tyt0LFXBgdDFonr9amKrHnT39NVBiK3i+/dVdvkqsX+68rmtV7jU++GZhogc57zjO8SWKTCStTA51/y5uu3AHHZO5GoO254IXEndVfM8ic17p5oeSyPoC0mqQqteibdaTnA7QkbTPVpUxu7WHELqQUK6npoEoRDCEEKcIYR4mRDiAiHEinYPjBDSOv7t1s0AgGwDE6ulwar+eAsn9uWwtVAy0xAYSBfHq8IF51MQJpFU/V7PIbRdr0Q0qlDdxUPpkhDS6Vzx/ag+abNV8qoq0e4cwj999hG45Oy1+JsLSkNhVfik3o9xKlfb51VLyKf6m7//lxfj9LVjuOE9f4DPvHY9AODkw0drep0k6ulooC9SACgJGXU8D5ZhYDSbQsH1msq/1Z3iWnNnZ/Olr/ee7z6Iiz53e0fCSXXhpRak6nIIHRfpJvNq46St3swhdLs0h5AQ0v1UvMoKIY4RQnwFwGYAnwRwCYC/BnCTEOIuIcSfCyHoMhKyQKjk7pRDibJqE7frH97VdAVQvdiEEMCQJghVYZeZJsRSPZTL5Uta7dara9quVzKBHQhEhJqrfeH1p4ePHdQqcRYFYeOiV0222zUxHEib+MTFp2FssLTKpxKhG3dPhRPuyRrz6PQQvnIhs+r8UK9z4qpRvOasNUibRlOuaj2uilGmoBDgvwcnyOMaDdywZsJG9e9crd+t6WDBRBe5qm/jcz95S8NjaZR4GxbLEJHvVq4Wh7ANIaO9WGXU8WRD1/h2oZx1OoSEdD/VrrKXAfgmgGOklC+WUv4fKeVrpJSnAXgFgEUA3tTuQRJCmueY5UMNNXdW4qZSsZO7tuzHX33rt/jk9Y83PD4g2rfNEAKD6dI8qPlyCGcSnBYgWawYhoAQQWP6hMIOSnCow3/4WLFC5oQmmJRwrFZ5sRLtziGshBJHn7/piVDg1eoQ6oKuXJsTJS5SsfeWsYymFiOSwoAB4Iwjxso+R+W0miVtJ/zm4IOBG5bk2NWKXnCl2oKMQi0mjE8XWt72oxH0vM+UacCKFXSp5nzmba8NRWUM2D3mEG7cPYW9U/mOtTpJIqwyyhxCQrqeilnnUspLKjx8QEp5eYvHQwhpMUrAvOy0wxt6viq5X2lFXU36n9nfXAERfaJoGiJ0zHSaCaesh6l88mS63Gp3KujX6ASCIPoc/0kqD7KcIxWKiCbeY7sdwkpYsQIrQPUqkvH91e2kaq6qrH7cpcuk2uMQXn3puYlC7Lq//QMsHfYdUn2NxQ3ajqRMoRUaanxcurtYq+DVHfRv3fN01Sq37UYXXmnLgGUYkcJQ1UJqC24b2k5YoueKyjyxx88RPWb5cIdHUoQ5hIQsHOpadhM+FwohrgTQeAY/IWTeUBOfRlfZ1cS8UhEGNfmtpyl7ErooEAAGEyolTnfaISyzv2mIMHcuHralDovSHbpg/N5fPie83YocQuXkdiJ0TBeh6j3kahRquuApl9+VdGwBIGOZTeWExR1dVSE1Y5lhIRSdZx0+GlY5dbVz3vEkHM8Xrep7U87trIVJzV2tVfDqDvpgA0WkWo1+3VAO4VyhjpBRu/VtJzJBldFmqvl2G+r8eOM5R3Z4JEWKjekJId1OrUVlzhVCfBHA0wB+AuB2ACe2c2CEkNagJgqNC0L/V73SiroK4Wu2h54+ebRMkTihbSa/rh4m6uwh5+dGycSQUU85hMEMST2etoxIS4pivuZCdQiL55iq3OlqBWYqob/ncuea7cqScFFAhYw2fu7phWE+97r1+MFfPafC3lE8TVQ4rl9UJmUakbzSRtHzL2s9J2byLpaP+JWBk/Jt51sE6YI4HeQQ6u+lWsjonO22JYdQyqiYX+go1zWb7p6yDioiopeENyG9SrWiMh8XQmwC8DEADwE4A8A+KeU3pJQH52OAhJDmUBOuTINuQboOh7CZya//GsXnW4YR5mnpTDeRk1UPP//97vD20qF06BqVS8M0TQHX85C3XaTN6LE+evkQAOCkw0YAaDmFsb8x0AKH8Op7nwleY/4nhvpL7p8p5jLVImYmtBYNlRzCpOqpacvAk3un6xhpFP28vfjMNThs0UCFvaPomkJvO1KLs16NqQYcwtmCg7GBFNKmgem8g6/c/mTk8WYcy0bQP8u0KUpDRis4hFJKTOUcjGZLXdpmqCUMfqGRC64ZA13gCofQISRkwVBtxvB2AHsAfBnA/0gp94PfbUIWFCoUr50ho2oBuJl8KSA6ebTM0lwxYP6Kyjy0/VB4+5VnrMa//MnJAKJuko5l+HlJMwUXI9loqOsFJ67E/77rfLxuw1oARfcu/qcGU/7zGnVBpZTYdmAuGGdDf6IpdBGq963UBcCnbngcF3zmlyXP1d2wcg6hct/iPL57Co/umsR9Ww80MuzQKXr+8cvrfu5Ry4Zw8ZmrAfgh07YrYQWhkf6YmwkZrT+HsOB4yKZMDGctTOVsfPYXT0Qeb0SgTszZ2Do+gzf/1z144Jn61oLjIaOmIXDL43vDbZWK5czZLhxPhhVbW4U6h3opj1AtujTSa7ZdhEVlOGskpOupWFQGwGEAXgS/3cTlQohbAQwIISwpZWebgRFCaqLpkFG1mu6U/1VXE+pm3Yfv378tvG0ZIgx905kvQfjU+Ex4O2e74XEoJ7RMQ4RhpnFBCACnrF4U3lYTUhHzCJVDONdgyKjuIjVSUbZZ9DBVvdn7k3tnsGLEz7n78i+fLHkeEBU/5RzCgiMTBaFi+8E5bFhXz4h9bM/DBSeuwH++6ay6n2saAp973el4ePtEUGU2KCpjtNYhrLXKaCHIsxzOWJjOOSXhtLYjgdKOIRVZ/y+/CG8/unMS9334opqfq7//tGWUOLyVhO5k4Bq32iFMqzD4Hqo0Ome7EWe6Gyheg6gICel2Kl45pJSulPIGKeVbABwD4BoAvwGwQwjx7fkYICGkOcKQ0QYr9dWSQ6icwWYnWFfd+XR42zIMvPW8o/Ctt58T2afWNgbNMDFnY3y6gBNW+iGeM3knDJ0t7xAaODhTXhDqlHUImwwZnY9jUwm9Wqfu+F3y1btKyuHHhVLEISxzHimxVY5qx33/dB5X/uqpkpwmx5UYzVpNTaZNlUMaVEJtRRi1fkxqdQj9wjuGLwjzTkmoeLOuWKHO9h52rO1E/HhUErpqkWB0oNradX2krebFereRs73uChcFHUJCFhI1X2WllHkAPwTwQyHECIBXtW1UhJCWEYaMNliYoZY+hK1yCHUsUyCbMnHescsi2+st9tIIyh08efUoNu6ZwnTeDSeR5Zw3yxQ4OOu7YiNVHA0lFkpyCJtsOzFfFVjLoTuEM7Gw1/HpfMTxnZyzsXS4eH+ihpBRP4ew/HlcLidsJu/gv371FH795Dju2nIA5x+7DCesGgkfdz0Js8mcy5QZtB2JFZVppnDJZAN9CAuOh6GMhcG0idmCG35/Fc2KoHrfTSEWMhoXtvkKbrgSxC3PIWxBfme34Rff6TJByBxCQhYMtVYZXSqE+JIQ4rdCiPvhN6y/tr1DI4S0guarjFYvwKAea7bK6DFB8RUg2iz8qreeHd6ezjtNv041nhr3C5ScFoR5zhaKDmHZojJGURAOJ7TL0FHhhHFxaRgC2ZSBuQZzCGvt+dcudIcwroP0EFKgVNjrFTHLF5VJDhk9P1g0KOeiXX7TE/jsjU/gri1+jmG8Amu5dhb1oNqOtLKozGzexVDgGlcSTjrqGKVMA7brJb7XetBzaQHUPbvX+xBmLKNE2FYqlqMc72rOb730oiDM2S4GuqjCKKBXGe3wQAghVan16nE1gL0AXg3gNQD2AfhuuwZFCGkdRUHY2OqxVUPIaKscwok5G8ev9Bsr6+LisEXZyH6TbQ6NfGrfDAwB/OHJqwD4lSfTVXIIj1k+jD2TflhkzSGjCY8Npq3GHcLguLzstMMaen6zVGp1MT4dDRk9FBOEupNWtqhMGeH2yVefCiC5mulswcFX73gqsi0u6t2gd2Az+G1HvKDtSGuKyuRdL+yDWEk43fDI7tAdVuI2bRkoJCzi1CuC/uTffh25X++7iReV0T+jZcPpihVo1WMqt7ZVKEHYTKuSbiNnu90XMho2pqciJKTbqVUQHial/KiU8qng32UAVjb74kKItUKIW4UQjwohfi+EeHewfYkQ4kYhxKbg/8XBdiGE+KIQYrMQ4iEhxJnNjoGQXkc5Cw07hIGb9ciOCWwuU9pf5RA2ky8lpcShWTt013RBGC8u0+6w0SfHZ7B2ySAOHxvA1k++DK85SxeEycLheccVQ1uXDpUWw0kiKcRrIGVirtEcwkAU/NXzj2no+c0SdzwHtYm8EoRq0hqvCKoLh0d3TuLzNz5RMpEs5xCqyopJYZXjU4WSbXFRpPLumsEyRSgwLKM1RWUKjheGH5cLGX105yTe8c378c8//b3/nOC9pEwDBccrEb+FCsWhasGrc3Jva4I477ihQP7ExadiMG1VFITNLmaVI235B6WX2k7M2W5XVRgFtBzCjo6CEFILtf4C/kII8XohhBH8ex2An7fg9R0A75VSPgvAuQDeKYR4FoD3A7hZSnkcgJuD+wDwRwCOC/5dCr8dBiGkAmpSldTTrxYMQ8AyBK5/ZDcu+txtJY//cuNevPvqBwE013ZifLoAx5N48cmrcOGJK/CxV50SPrYoVna+3YJw16E5rF08GNmWKpP3p9BL468YrSwIR7MW3nPRcbj60nNKHlO5X42ghORgix2VevjXV5wc3l6/ZgyfCty7maB/5Nolfo+/B7dFQxF1h/DTP9+IL9y8CTsncpF9bNeLLBQo1EQ4KWQ0yW2ML1y0xiE0Qoc2Yxnh+dLMIknB8ZBNm7AMUTYcdteE32Zkz2QOswUHtushbRlIWwK265UsYDQbJjlbcCNu7+O7J7F3Kld2fz1kdOVo0ek/dfWixBBSnWZb5pRD9QnttZDRbhOEYR9CKkJCup5ar7J/AeDbAPLBv6sB/KUQYkoIMdnoi0spd0kpfxvcngLwGIDVAF4B4BvBbt8A8Mrg9isAXCV97gIwJoToTGwUIQuEVqyyVwp7++nvdoa3m1lxf2LPFAC/PcOVf/ZsHLuiWPQj7jy1eyJXcL2SSaia1JQrKqMLwmoTMyEE3nPRrPqxPgAAIABJREFU8ZH3qBhMm5htuO1E53uRvfy0w8Pbs7aLP332EUhbxWbk6nyMnytJ587mvdM4MFPAjx/Yjrzj4tFdk1i7ZLBkv2zwWSWJi/+8rbTNRYlD6MnEhvf1YBoCOwNxtmI0EwrMRorKqM8x77jImAayKRNztosf3r+9RBgemvUXR+7YNI5n/ePPUXA8pE0D6cAhPDXIg1ULLM32CgWADZfdFN5+yeV34MWfv73svrbr4bQ1i/D4R18SEYSHjw0gmzIrVk9tNv+5HEqs2z0UMjpne10nCMMcQnqEhHQ9NWVqSylLZy0tRgixDsAZAO4GsFJKuSt4aDeK4amrAWzTnrY92LZL2wYhxKXwHUQcccQRbRszIQuBdq2yK3QHpJmKikoQHr8y+XKzbukg9k7lMVtwm3qdWnDcUoGg8gJfcEJy8/JWVUIcSJsNF5XJ2e2ZQNeDftzUzYGUGYYGqv/joiypUNDT+2dwxS2bcc/WA1g+nMVUzsFzj1ma8Jp+Vc+k8MPv37+9ZFtcfLqeTHQe6yFlirAIysrRbLFwSZ0C7NbH9+LPv34vfvo356HgeBhMW8hYBv7711sB+EWV3vLcdeH+cbe84Pgho64nYbsePClx9LIhHL1sOHi89u9Ote+ZFzx+cLa8Y6/CfJVYGRtM4dCsjSVDaWRTBp7YkxyGDmgtc1osdFRP0XwXOYT/dssmPLZ7Cle8obFMmLztYqBKZMJ8wzaEhCwcKs4aApFW6XEhhFjT7CCEEMPwW1q8R0oZcRyln0RS1+VESvkVKeUGKeWG5cuTJ2+E9AvN9iEEgFXByn68uAsQdRyace6e2DOFxYMpLBtO7pr9y394If77z54NoDnhWQtJ7Q3GBtO4430vxD//ycmJz4mHtTZKuaIyh2YLuP2JfRWfW2wx0jmnQG9zoD4lPS+y6BBGzxXXkyWhrlM5B1uCFiBK7A2mk9cxsykz4hD+fucETv7HGxL31cWnlDIQhM2JaD3kdNVoNhSY9YaM3rpxLwDgfx/ahWcOzCJtGRGBHz9GcUF4aM72cwgtv8qoCoct5s3V/h2t1ld0soaqtoVYIaCb//75uOeDFwIA7t16EDsOzeHXm8cjz/nE9Y/hN5vH27aYpfKimwnnbTWf+cUTuPahXdV3LMNcNxaVCf7vnqNMCClHtavsp4UQPxRCvFkIcbIQYoUQ4gghxAVCiI8C+DWAk5oZgBAiBV8MfktK+aNg8x4VChr8vzfYvgPAWu3pa4JthJAyhGFXDeYQAsDN730+zj92WaIQ092WZioqbtozjeNWjpQNyQSK7lPbHUJPIpXgGK1dMli2+Mho4CCeccRYU6/tO4SlgvBNV96DN//XPRULzijxn+2kQ5jQemIgbYYho6FDGHOqbE+WiL1P/3xjmK+mqmiWO4+zKQO5QEBIKfGubz8QaWURfy2FOmebdQh1QblqUTZcUKh3kUSFJn/l9i0Yny4grblrAErOv3iRFymBlCWQNg3knWLVU5U3V09lTT2cc9lwBpecHY24ufR/7q/6N+IFe5YOZ7BiNLqwdPeW/ZH7/3nbFrzha3cj73gwRPOfTZywAmwXOYSKaiK8HHOF7sshVNdy5hAS0v1UnDVIKV8L4CMATgBwBYA7APwEwNsBbARwgZTyxkZfXPhXiysBPCal/Jz20E8BvCW4/ZbgNdX2NwfO5LkAJrTQUkJIAmpSF29QXQ9DGQvHrhhOFCP6pKoZoXZgplBSTTSOKpAxPyGj9R2vFaNZfPa163HlW57d1GsPppKLyjy8YwIAcGiutGqmIue4MA1R99hbie6UqSqhmSCHcPvB2dDFixd7cVyvYjEcVUE1W8bpzljFsNSNe6ZCZzEJPXdMuUTNHjMlMkayFgbTVrGoTJ3najzfKm0ZkfcSF5hJVT/TpoG05hBahgh71M3VkZ+qi5O3nX8UNhy5OPL4PU8diD+lhEoVXC8521/fVe1agGiLgrzjIWOZFReJGiHMIWzzdaQR9kzm8I3fbMVTFc7fJLqxqEyxMX33HWdCSJSqv4BSykellB+SUr5ASnmClPIMKeUbpJTflFKWLy1WG+cBeBOAC4QQDwb/XgrgkwBeJITYBOCi4D4AXAdgC4DNAL4K4K+bfH1CeppHdkzg8ps2wRB+tdBmGEybmMo7uOx/H41sb1Xp9smcUzUPT7kw7RaE8TC3Wnn1WWuwZCg55LVW/Cqj0RxCXQRUqrCat0uL4cw3+uRdag5hznbDxvBHLh0szSHUQkZHMlZJ6PBUEJ5YySHMV6hYGX0tr+R2s43ptx2YBVBspm4ajblQcX2Xjn2epfmPpX/DbzshYLsSThAyOhC4r/Xkpyo3cTRr4Y/XH1aSV7siWMBZPTZQ9m/Yjix7bD9x8WlYu2Qgsjigv7+87TYV2VAOM7yOdJ9DuGcyh3/66e/xmi//pq7n5Wyv5f0amyUMGaUeJKTr6ejMQUr5KymlkFKeJqU8Pfh3nZRyv5TyQinlcVLKi6SUB4L9pZTynVLKY6SUp0op7+vk+Anpdv72Ow8AKIbuNYPKT/nar6JNvuMhTo3mEU7l7DDsshwqKq+Z0NRacFyv6ZyyRhlIWyUuzlu/fm94e3Ku/ITed1Q6Kwh1lHBXOYTq3Fg8mMbvd07ie/cWa4Q5gZP0qVefip+96/wS0T+ltXRIIpsyMZmzUXC8qmF3uuhQt5ttO7Er1iIjzFOr2yGMEn+/pbmXpe81bfkhoq4nUXBcWIbAYPD9raeliRKEl73qVKxZPBjND5XFnpBx0RoZr1e5x2PGilYa1cVhu85nFYLajX0I1TGvp7WO60kUXK+se94pig4hIaTb6Z6ZAyGkKhsuuwn/c9fTNe/f7CRXR199/sCPHsI7v/VbAKWFJSo1mi5H3nGRd7xI64YklEirtzl2vSRVGZ0vBtMmbFdGJv53bCoW3ajoEDrdFTamPidDCNz39MESt+x9P3wovO0ErR/+9NlHYN2yoQRBGDiEZSa92ZSJOzaN43n/79YS0bN+bTSv03Y9bN47hcd3T4bna7PHTX0uV731bAC+I2+I+guXVHcI44Kw9G/4RWX883eu4AYOof/+6gkZjYeb68Ku4Ho4OFsIX6MctutVDFdPm1FnVw/nVSGjrUa9j24qKqNQx7yeKFl1Dquw4O5B5RB233EmhETptqsHIaQMnicxPp3HR655pObntFIQDmWK7t137tmGax/203fjAqWeCadCuT8jVRxCc54cwmquRjtRYZMv/cIdiY9XEoS5LggZTULlEN3yuF8fLDkXNdr6QQm0PzplFQBEmr4nkQ1CC3dP5krOwQtOWFHyWhd97na85PI7Qkcm22RoohKhelEhyzTqbjsR91PSlhGKTCApZDTBITRFKMLmbBeWKZCxDAiRfOxveGQX1r3/2rDJvSJekCqlHfupnBO+50rfedupvLiSSRkRV1C/PVdw2+MQhvmd3RcyWmvYs466furX6G6ADiEhC4ear7RCiIuFEJ8TQnxWCPGqdg6KEFJK/RNLtNTlSsoTunXj3pJQudl8OwVh4BDOR1GZFlc2rBXl5Gzam9yfbSZfKWTUbYuj0ijKIfz4q04FANy6cV9ku47jRcN0zzt2GQBgw7olAIqFR8rmEGrvOy56lFum0L9LM1WK1dTKkUsHAQDD2qQ8ZYimXaiMaWCplk+ZlHsZJxUUlQF8oWoZBoQQZQsWXR2E7j66M9L1KQy9VaJMr7y7KegfmDaNioKwWjuElGHgjk3jYTVZPdx328FZHF4hP7FRVDhvN4eM1sOBGd+pXdpk/nKrCc+W7jvMhJAYNQlCIcS/A3gHgIcBPALgL4UQV7RzYISQKI1MLM0WVudTE16dP//ve0u2TVcQLOVQRVTK9ZhTqPfTTodQShmW6u8ESZU2T1w1Et6ulKOZd7y2FOFoFPUxHbl0CEcsKZ4/bqIgjDpJl73yFHz0lafg3KN9QXhn0JqgnODViyYpQajEWTxkUe9XqCp4Nhsy+v13PAc//KvnRorqWKbRdFGZRYPpyNiS+jfGSZlGKMIm5uxwcSMpPxUofq/ifysfF4SaW3fJV+8CAIwOpFBwvMRxSCkxk3cwWMG5umerX2jon3/6+8hrAsBT4zM4evlQ2ec2Sje3ndDzKWtFhe6ODXaZIFRtJ6gICel6ao0vuADASUGTeAghvgHg920bFSGkhIYEYQtdrkor9V+65Ax4UuLdVz9Y0cEqh3IFKhWnAAAzmMi10yFUYjPdoRxC3U3xPAnDEJjOO3jpqatw3cO7K7oalUr8d4L1a4rhk7rQTUopiruyQxkLbzr3SGyOOaXlQgh1V3A2zKkyMZ13So7Jbi00ck/gcDcrpFeMZLFiJNpfzzJE/UVl4oJwIBV5zyXtOpIEoWVg8aCfjzuVc8LrwGCZHpdKTMf/VNEh9D+7pHNrbDCF8ek8crZbErJYcP0+iMM1hDKq19IF72zBrVjBtFGsBluCzAdKEAvUfv1RgrDZCsethlVGCVk41PoLuBmA3pF2bbCNEDJPNBQy2sJKmSnTwL++4uSS7f/ztrPxx+sPDx2gmTrK2iuUyKnWK3E+HMITP3IDgOb70jWKPnnaftAXLjN5J1z9r+QQ2h0MddV58uMvxU/eeR4+9qpTwm26IIy7Sfun83h4x0RiOGNcAJYThPumir3s5kLH2X/N+ELDodliHubHrnsMQPMOYRKWWV/IqJSyJJx2JGtFXNH430ty5tKmwGGLiuJUCSBV7TWO+l7FXzssKqMcwoRFkrGgEJRyHt/+jfvC/NeZIHy8Un9JRco04HmyJEe2WtRAI4QVYLsxZLSBHMKDM8ohrFyUa74Jcwi77zATQmJUvNIKIX4GP/p7BMBjQoh7gvvnALin/cMjhCgaaeegJoLNNKXXScqzUqv/6v/pBnIIa3YIA7GTFHLYCqSU4QS7U8JKb5Z9z9YDWLtkANN5v0ejIUrbfOj4zd07X1jCNERJZU/lHlmGiLwHz5P4x5/4ASd3JzQ6j58T5ZqUb93vh36OZKwwJFS5rXFnK14ZFygvNJvBMuorKvPVO7bg+/dvj2xbOZqNuJdX/uopfOilJ4WuXtLiSNoysGpR0VlTubcpSyReR8LvVTxk1I6FjCZcRxYpQRgIzZse2wMA+NwvNobXgkrFToTwBYNlCnzsusdwZaytTTsqZxqGgBBdWlRGhYwKYPvBWbiexJFLK4fNzsRCpLsF5XJSDxLS/VS7enxmXkZBCKmKvpr9xZs34dVnrakaTqUmeq0qLpMUVqcme+r/RkJG1SS1WrhjOHFtU+6Pnl/VqdDLwzVn56nxacwWXNiuxKKBFFKmUdUhbLbBertQLpFpiEjY4/6ZQlixNgl9MeMbWrXNOH/zwmPx2RufwIrRTJgbps4X/ZgYIuoQKtrhEKbqdAiv1voyAsDLTzsMp68dK8kr2z2ZC0O4k6qMpkwDQ2mzKLbC42CUhJwCRScnXtBE7ascyqQ1kkWBK/Wtu5/B+//oxHD7F28pBhEN1bBIkTIN/CAmhgFULEjTDCnD6PqiMud/6lYAwNZPvqzic9T53qneqeUoOoTdd5wJIVEqXj2klLdV+qf2E0Lc2f6hEtLf6ELgczc+gX/4/u+qPicUhC1yu5IKeqiJfjOCUE2CqoaMhg5h3S9RE7pQ6FQfwg3rluBnf3M+AOCKW58Mi24sG04jXWZCr7Bdr2OhrtVQzmXKNPCei44Lt8dbHcTRHcKxCn0q33XhcfiT9YfDk75rpovAjGXg7KBaaco0Ep3I9oSMGnW5UPEiUBefuRpA6fdCF5lJgjNl+lVFlbOn3lu6zIKC+l7FC87k7WjIaBLKIfyP254s24N0KFP+2CqtkDKNRJc20yZB6IfzdqNDWP+YlLDt1sUgykFCup9WzRyy1XchhDRDPDSslgKiaoJ56ppFLRlDkkOowpSUMKzUpLocSuSkrcpvqhja1p6JnC4IUx1cbdc/r1se83v3LRvJIGVVdgjjQqibUOeHZQq8+TnrcNkr/fxC1W6gHLpQq5aLZhl+SKTjSZiGwIqRDABg+UgWX3/rs3HH+15YdsKdbUvIqKjLhYoXgVIudTxMdtYuLroktfBQz1PHbnQgqLZqJbtiRvD3c7HvbtEhLH9sxgaKhUySnFegesgo4PcYHUj4fNvlEDZS8Gc+UKK6Umh4HMfzYBqibDh1p2AOISELh1b9AvLrTkibiU8QFlVwSxTZYIL17288qyVjSMohVM6PciHtBiZZdugQVp/wA0C7FvavunNr8bW6RFjtPOQ7aMuGMkiZArZT/vg6rtd1YWOKUBAGn6ESK1v2zYT7XHjiipLn6SIpSTDE93U9CceVSBkGPvjSk3D5n56Os45cjMG0hbVLSlunKNrR1NsyRWLRl3LEBaH+WX7vL58T3taL7yTmECohGdwfzfrXipRpJAoNJQhLHcJobu9hQV7iuy8sOryLBorHrVzLhEo9HpUbXnC8xP3aFjJaJfx6vgnDdhOKypRzXhWd7JtaiWKlVE4RCel2uisDmRBSlvjErxZBaDseTlw1UtO+tZAU+qUmi0IIf9W9gUmWciLiDcTjqInrp254HIctyuKVZ6yu+7UqsXHPVHi7VcesUf7zTWfhL//nftz8uO8QHjaWDRyeKlVGu0TIxlET+3gY82XXPhbu8/GLT63pb5TDMn3Xx/E8mKbAcStHcNzKkbL7f/8dz8Ephy+qKjQbxTLKf16O6+Hx3VM4ZXXRDY4LQt0xP/uoJeHtWa1wU2IfwuB5SvyNZFW4bnJRGeW4x8O9C64HQxQ/q6GMFeazfeHmTQCiIZ25MhUyK4WcnrJ6EdYtHUTOTu6h2Y5QXqD+CrDtRsCXTUmi+uBsIRTjSfi5w923EESHkJCFQ6uuIN05AyGkh4gLrUUD1XtOxZt9N0u1CpZqQl4vtRaV0VfBr3lwR92vU42htAXTEHjXBcfiBSeUulXzyfnHLgtvn3PUEiwbzpQtCqJwPK+joa6VCBcOgp+L87T3p6jmclQ7/5RDWGv7jWOXD7dNDAKVi8p85hdP4OVf+lWkz2IlhxAA/vddvps2q7V2Sfr7yiFU50pRECafPyqMVvWz07dnLDMxFFGJc+U+Jj0/HE+VcNxsykTOdufVIay3Aux8cc2DO0u2Tc5Vzst2PK8rF4JCQdjZYRBCaqBVM4c3tejvEELKcEvgFClqKZNvtziEsFpZ81QFR6QStbadMLQJcztWxHO2i3OOWoL3/uEJJZPz+WYwbYZjWDbs58KVKwqisF1Z1WXtFOrzksH0cPlIBitHM9F9qgqHagsGBg7MFPCde56p6bxvpxhU40kqKpN3XPzHbU8CAA7MFLT9Y4IwNslX49VDO11PYiRj4Yd/9dxwmzrWKl9wJOOLtnLnTyEUhNEcwLztlv1OKpF52hrf4TMNgdd/5a7EfatdqzIpEznHSzx3s21oOwH4Yr2ecN5OUi2f0F8A6b6FIEGvgJAFQ8UriBBiSggxmfBvSggxqfaTUj7S/qES0t/8+y+fjNyvpXqh48qW9SAEgMEK1QKBxsOwwqIydYy1HcVT8o7XthC1ehFChJPurNZPr1KRklYvALSSUBBqw4+LjWruZrWiGbqg2juVqzqmdvQe1LHM/7+9O4+Toy7zB/55qq+5M5PJQW5yQSDIESIhosglBmEFlZfiiYv3qqv+9KfgsR7IrseuoqvrsYr3gsfigheKLAryE7mVI4TEQEhiyH3MZGb6qPr+/qj6VldXV00f011dnf68Xy9ezFRflZnumnrqeb7PE9xU5qGnD7hfezP/ZSWjvs+DXodZuobQwskLB3HqoqHi43z/roHu4hrCoDWoOkN4wJfhy5lW6M9Iz5lMGIKLTpw76WiBShd6MgkDuYLploSX7HtXc0q3u1IJPHOw8nskDsLWZmoF04plMymWjBK1j0pjJ/qVUgMB//UrpQai2kkiKldNaWajS4l6Kq7hKs+IbNo1WvEKt769lqxfMwKfibzZ9CChFvpkWAcCqYRUGEwf3y6jOvvnfdv6f99T3feE5/GVPh6fuHhl07syJo3gLJR33d2hiWI5YFnJaFlAWD7axbRUWSDl/7nOdLqthg2mD88QWqHB3LWvOBnfev2zMXewG93pxKQ/70oBoW6+4y2fBYD+TLJpF2jOWTELf3pyX0n5bbPtHc3i6Ct/gds37Kp8Z4+wtZlao5cGNEqxpQwjQqK4i8+ZD1EbMi3VsqG7X/v9Zqz+5K2TznGzm4w07mNe6blSvjb7e0azOO9zv8c/3TR5EUGuYLdNr6VMsxknQHHKEALFcQHFgLB0DZhlKfzH7za5mR37AkA8D+vpRPH0sLitdF+nWqZbS6fF1609ekqvVY1kSImmt2vkoYliEFYe2JV+P9CVRF8mia37xtxtBat8vaS/tNsNCEO6jGadfTw4ni/bHnaBpDeTxNlOV9iKJaEVbk8Ygnuf2o8dnozdNS85Af95+epJHzcVR02zp2WNhYzJUUrhi7dtxLb9Y4G310M3rfrK7X8tu22yixOVMoR5M55rh5khJGof8TuCELWRUz95K9Zde2fLXn/PaA7fvuup0NvtE4XorhynkkZJCdyIk/344+a9oY85OJ7HzkPZmktbm3ECFLcMYa+TEdJrx/xdRu/bsh+fuWUDrrrxYShlN1OJ8vddi2pKRsNOik9dNFTd3M2YnRSnQposeWd1HvIEYWFzCDURwZKZvdi8pziqw3RmLgLAFy6zs3b+n2uv5/0T2FTGCVD9wWs2bzeVqaTSRZRKn+2gyoBXr1mE05cMV3zteukGNmFzKf+6exSfu/UJvP0HDzTsNXWGdzRbW1ay0rB6M6YZQp0jZDxIFH/x+utJ1GYOjOVLRhVE4X3nH4PpvcUOo/OHwtuRHxjLY1pP49fgPG95eYdIwBnE7TkBruYUZe2/3Ib/fmBbzWMempUhjFNAqE/su0vWEBZPDnX88LeDE25pYlwzhPqk3ztIvdr1pj9561ps/ucXVbxfNRnCKy9YgXUrj6rqdacqaRjYvHsU37hzc8l2b1OYkQnvkPnSxwcFSvOHut3ZlEBpueDFJ89zs3YA8CxnpIUOtL1NZfKmhQ3P2McuHSSavt9HthDeVMbLP45myYzeku8rlea2ooGTHnGRDZnxl3PWWlYKxmrhjveosUy1coYwpk1l3AwhQ0KiuIvfEYSoTdQzb68RXrJqfskf2LCsiFIKu0eybrlYozz1qQvx3StOC7wtlTACfy5h5wNKKbdka85gV0370ehTjG/d9SQOjudjVTKqAxzvGkJvUxCdfTqcLbhfxzNTEBzcPLbjUMA9y4lIVev9qgks3vr8pfjqa0+t6nWnKpkQWMqetXjQsz7PW6boLRn1XxQJ+l32pJMlGUbLUqHHgB+/dS3+8rHz3e9TCQOWAv6y7QDe/5O/4IXX3oGt+8bcYej+MQy5Ki+QTO8tPca8as3Cio/xasW6V/3v+tBPH8HRV/6i5LaDY3m87Qf3A2hssKp/zrtHsiXdZat9XJiCFdOmMq3eASKqGgNCojrtGslG+nrphIHXrV2EeYPdJWVoYVePD47nkTMtzOxrbEAIFK/4+7OT/i6jlc7h93pOioZ7a9vPSidJtfr4zx4D0PzOk7XQJWZ9TrfRdDJRkiHUgcHhbAFf+/3m8ieIEX3C2swB2rWsIYyCt6zZ22xp3MkQZZJGyYw5SyksnVnMrgWVWvakEyUZxmwhvCy8K5Uo6dKpf/Yv/tJd+OmD9hzPnYcm3AyhP2ObLYQ3lfEa7i2diXrsUf0VH+PVilJf3dhHl7N7L7Ld+9Q+bNlrrx1s5HtKr9Ucy5lYdfWtVT9uIiSLqRUavFa8UfTfCSYIieIvfkcQojZxuMZ1IFNhWgo503KDJrMkICwNjNbvOIR/+dV6N2BtdIZQ++GbT8dP/+GMkm32sOfyv/5hXea8be79ZWdhHr96HRZM7550QPtUZGKUIXzVmoV48Ulz8YLj7RLHVEJK/t0605QtWPj8b58AAGzZ07gmGI2kg5FmBoStnh3p551z6P2c6oBu9kBXSYbQ9JX+BQUj3amE+3s3LYVdIxOYPa267HpQcJctWG6jmYKvSVauUN0awuG+YkB49cUr8bzlM/HFV55S1T4BaMm6V/+FH2+QvcXTtKeRgZb/IpZVoRXuK09bYD8upGz1fT/+M97xXw8442bi9d4H2GWUqJ1MPmWaiEKZEV721FlAPZi7JCD0nWS86bv3Ydv+cZy60J5L1qw5XmsCGj6kEuKWjN731L6KGUJvm/urLjiuqtftSiXQm06Grv2ZqjiVjJ6xbAbOWFZcr+kfLK5b5ntPBqvJ6LSCDgSbuX/+Lpmt5u326T2p1wHdrP5MSVMZ/5iYoAC3O51AtmDBtBR2HppA3lSTriP26kmXv7dzBaukysDboCRbMN21dpPxrmnudf7Npy+ZXtU+AS1aQ+gLdEezBTcj//TeYtOehpaM+qo59o3lMMOp4PAG4kcNdOGZQxM4af4grr9na2hA+JP7twGwmy51x+i4pbHLKFH7iOeZA1EbCJov1ix6DpUOVryvPeE7ydAnBtudxhNRlkAmDcMtO7v0q3/Ey77yx0nvf8AJCH/2jue6beCrkQnpllgv74naUBOa8DSKfzC9zmqkEgbSSQNLZ/bi/euObdXuTSqdtM8Om5nJ2H4gfARLK/SWBITF99h4zu5mO9iTLplDqEdIvOl5iwEEN2PRn++JvOk2l5k3WF1AGBQ0ZAsmcoVihslbjp4zLWSqyJBlkgk32NSjI/oz9ufIX04apBXljv7j4uFs8fdz2LNGs5HvV//Ij2ecn5VSqqSh0LnH2Y2BdOavmsH0cVw7LGDJKFG7YEBIVKco/8jpNSRuhlCFZwj11fqnnbKnaq7wN0oyIWWNKYDgn9X2A+N403fvAwAM1hiEZVKJksYaU+Xt9DhUxQlsq/jnyHlLB3MR7kfzAAAgAElEQVQFCy9dNR/9TcoIT5UuhQwqGf3kJSfgB29cM+XXyFfZtTQq3jJo73Dx8byJnnQCA91JjHhLRp0REh+68Hg89akLA59TB15jOdO9INCbqa7YpzsgQ3g4a8JSxef1ZqCzeavq48dv/8/zseKoflxyyjz3tX70lrX43f89q+JjW1Hu6K8E8C4B8DbG8mYIb3poOx7ednDS571/y/7QhmP+TJ9uLOO/tlgM+q3Q2ZFece0yqsXrU0lEQVgySlSnaDOEOiC0TxS8AZb/6rEuQVrvdHCsZg1Qo9hdRlVZm/GggPCOJ3a7X9c6GmN6Txp/3T1a1z4G8QaE1WQ0WiWVLK4hVErhzo32z1DPNRuocXRHlPRFjFRAxvrVaxZW1UW0ko9cdBxWHNWPz/56w5SfqxH0HEmgdLzBWM5Et9PwxVsymjetitmybuc5J/KmG7xVO8MzKEO431nH25tJ4tBEoaSxTLZgVf3ccwe7ccu7zyzZdtri6spGvdmtz738pNBh8Y3kzxB6jwHeddDeYPVdNzwEAKHB+sadI3jZV/4f3vjcxfjwRceX3a4DwuWz+rBx16gb0Pv/luiLOnqkSNCFjomSxkLxmp+qcewEUfuI3xGEqE1EuYZQZxeCgjv/VWfdRObuzfsAFLOKUUgagrxpVRUsD3qCl/4qMxzajP409ow2rsvrqOdkMK4ZNqC4hlAphR/euxV3bbI7JLoBYVd8r/HlCzp4KZ5g63mAjQgGAWBWfxfefvayhjxXI/SGrCEcz5noTicw0J3CSLbgNhcxnZLRyeigbixnurPyqm3UE7SGUGep9G0lJaMFK5ImS+760oSBl66aj9ecvqjpr2n4fs7hGcLqj5+6/PfOjXsCb9eZvmsvOxlAMaizfH9L3nTmYvz9GUfj8ucssi+yBVRdvPP6B92vdx1q/HihRmI4SBR/8T17IIo571VPpVTDTmqDTPiaynj5A8K8r1wp8gyhpUpOKsN4T5Zr/dkN92awfyyPvGk1pGuld1D0UQO1zUOMUiphQCk4DUXKA+I4Zwj1CevapcUmOV961SmxK/NsJG9TGW9Gxy4ZTWKgKwmlgNFcAQNdKRQsha7U5J+FYslooZghTFb3+QlqmKTX/OnPozf4iCrzpMsyo8xyHTXQhXNXzMJtj+8CUHoMMEMyhJXoJk97Q2YM6moOPW9yPBecIexJJ/HRv1sJwP7ZBF1gu2tTMegcyRYwp4Y12FFxD+tH7kec6IjBDCFRnbxxVzUB0FT4S0aDbtPKA8KI1xCaVtkV76CSIf99ajHDCS5qGe48GX0i9z9vPyNwnVVc6OA3bypM7y0P/rwlinGzZGYfbn/fWXj3ucvdbcmE0ZSf9ytWL8DVF69s+PPWaqA7rMtowS0ZBeCWjZqWqniBQx8Dxj0lo1PJEG7aZZde6/eOLhm1P8fVl6NOhR47MRLhKJ+EIfjG5avd73WW/ZZHduC363eV3b9SYxegWHa6ZzSL9//kz2Vdb+01geJeKNAlo/75j14pI7hk1P+3oJamXFFx5xAyIiSKvfiePRDFnOkrrWrmfLWsr8uoNq07VdbAwH9yEeVcva5kAtl8dSWj+j7nOR31atHrnNjuH8thdgMyerrDYNAJc5zokQ050wrMBsax9bzX4hm9le/UAJ++9MRIXqcS70m6DghNS2E8Z2KwJ+0GjIfGC8CQfXGnUgCm36PjuXoCwvI/+Q9vt5uk6AY4+jm3OKMX5lTZwXQqWhUuiAgGuuy1kzsOTOB9P/6zO8phzrQu7Dg4gb6uJMZyBRz/T7+u+Hze9aA/um8b5g52493nHVO8fSKPad0p9ziu10rq7OTpS6bjI761h8mEEdikxnuhTwRY5YwZihM3Qch4kCj2mCEkqpN/gHMz+buMakcP95RlJ/2D4aPMEHanExjPm/AveQk6H9D7/Z4XHBNw6+R04411195ZUjpVL126FfuA0Fl/F5SFBaJdL0qVzegtrusaz5uYyJtY+sFf4s/bDtpdRp0M4V93j+Lqnz+GnYeyGArI/Hq5AWHeRM6scQ1hJvz9rYNFfaHm0b/ZTalWzh2o6rmnQgdGZx4zs+mv5ffQP50PAPjS7ZvcYBCwL64snN4D01K4f8v+qp7r0ERpRtB/Ae/gmB0QZpIGRIrHdV2h8Ko1i7By7rSSx9idm8s/697upwun92DB9J6q9jFKblOZ1u4GEVWBZw9EdfI2lWnkTLwg7hpCZz3g8ll9AOyMkT8jmC+0rmS0K5XARN4MbILgp08862mX7m1M8qcn99X8eD99hT7OJZeAt2TUcn/vF5881709qKSYWsfbuGTHgfGSEsLfPLYTx80ZQNIQvPP6B/HNPzyJg+N5DPVM3uXWm10qNuqp7jM0WfOmYobQfl/pcuwo1tTq0skXHD+76a/lZxjiVhx4jeVMJA1BwVLYvPtwwCPLeTuVAih73gPjOQz2pCEi6PaMztEBcU/A5zdpCMyAklHvsutpMV07zDmERO2DASFRnfwlo83kH0z/8398LtZ/Yh2ShlFWnukPxprZ7MavK2UgW7CqWlOp75OoYwZZSRDZgLMN94RskgxKHLgBYUG5v3dvcx4GhPHzu/edhf5MEk/tPYw1/3ybu/3VaxZiqDeNhb7MTqWAMLBktMqmMpMdC3SGUB8/9DEtijmm45MERFEImuNYcGZCFszqjmdA+Xpu//MeGMu73ZV7nGoKwFOyHnD8SRrBXUa9+mPaXbiYIWRESBR3DAiJ6lQ6CzDaktFMMoHudCJwEHwruzbqNWzeE18gOGYznf2uZyi1d5bdF/93U1kjnckENaI5nC0gaUgkDTSmIuVZQ6jLyLwn0XFuiNOpjp7Ri1WLhvDLh58p2f62s5YCKL8gMlRhDqYO3OppKjOZ3nRphjBbY/ZxKlpdsh10IcVSTkBoKXcsSCX+C4OGLwA/MJZ3Z652lWQIwysUUiFzCJfN7HO/7s/ENUNoY4aQKP7iffZDFGOtzBBqQS3JawmOGq2WgESXPNaTIUz5HlPtz/9XD+/Aqqtvxf1bSstMx3ImetKJSLOp9dClsrmCBdP5PXtPortiOJyagKGe8hN2Pe/S//6vNEtSl4CP5YprCGu5qHL+8bNx3JzydYE9mdI1hLmChYQh7nrdZhpzLni16oJGUBMs3fHVrHKMDmBfqPGu4/Ueiy1LYfdIcV5gbzrpdjbVFQq9QRnCkDmE3p/VYMD7Kxa4hpCobfDsgahOka4hdE6Y/OsBk0b5GsLJWpg3W1jJYlDJkD7JSiamliEEqv833/OUHQg++PSBku1juUJgB8a4KVlD6Pz8uj37HcXJO9UuaLi5zuz6s3uVgiLD0OvP7DmE6YRR04WMr79uNX71rueVbXfnEDrHspzz3FFYPGyXzTaiY3A9gi5KmVYxQ2hWsSYasLOqw55GQt5ActdIFjnTwoIh+9/a15V01y7rDGF3wDHILlstP77lCsVtS2ZG0723VuJGhAwJieKOZw9EdYqyy6g9gF3KTvzspge+ktEqT16aoZaxB4UpNJXxZ0Sq/Td7xzZ4Hc6ZsV8/CAQHhLHNDpAraA6nbjjjD0aqWQfam0ni0HgB+YJ9XGgEt2TUeV9l82Yk6wcB4KoXHYf/euOawMxlFIISrAXLshu6WJY7c/aUhYNYcVR/6PPkChYySQP3fOhc+zk8x5mt+8cAAPOH7DEefZkkRidKM4RBayhTCQnMUHqP+2cfW/voniiwyyhR+2BASFQnb0xxxbfvxZ7RbBNfSwVexU4GnCzkI7yy7xeaIQxaQ2hOYQ2h799XbZlsxnmcP4AfyxZi32EUKP67c2Zx1qO3yyjFU9CIEM3//tedhCezbFYvNuwcsS8UNahMWJce62xYlBnCrlQCz1k2I5LXCuJf6wcAllXMzpmWBRF7NuFk5aO5goV00nB/bt61f/udtcs6g9iXSWLEKRnVx6N0wO/SrgIpP77lTQunLhrC41evw/LZ4UFqK3ENIVH7YEBIVCfvSd5otoDXfvMeHP9Pt+DAWHnTkqkqWAqpgExaMmANYcFULes6F5YhnGwOYaKektFEfSWj3gybtmc0i9s37A48GYsbvY95U7n/5q5kAh980Qpc9uwFrdw1moR3/MS8wW6cd1xxvEJ5hrDy+3DFUQN4YucIcqZqSEMZoFiuqD8a2bwVWYaw1YygklGlkEwIdh6awBf/dxOUQmBXZ8BuSgU4QXTScEu3vVm8cd86yb5M0n3cZM2BwprK5E2FVEJi3VlYV7QEZciJKF4642hP1AT+q/7rdxzCWM7Epl2jDX8t01KBgVMiYA1hzrQw0KK5VN3p6g8pxTmE9QSEvpLRKjOEbsmoJ0P4mVseB4Cqh0+3kpt5KFgoOFkLwxC8+cyl+NTLTmzx3lGYK9etcL+++pKV+Mblq93v/WtoqznBn9adwljORLZgljVYqtaP37oWX33NKvd7fTFHfy6zLaw0iNrJCwbLttlVGQae2jvmbksaUnasefyZQ1j50V/jpoe22xnChOEe07yBnF4HrjOxfV3FklF9v6Dy36DGYfZjrIZdDGgWN0PY0r0gomrE+2hCFGNBf6SB4KvNU5U3rcDAyV5fUnqCcmAs73ayi1otJaNTmUNYliGsogvgTQ9txx837wVQGhC2UyMWPW9OryGsJ5im6M3yNEs59qjSdXL+hjPVZOX05+zgWL7uzpzPPno6Vi0ccr/XgYq+0JXNW8hUUb56JPjkJScEbvd/vpKJ8gYvj+8YAQDctn6XWzKqj0/e++oREzrw7s0kcThnwrJU6Bpx+zWNwDXSbREQsqcMUduI99GEKMbCYhD/cOJGCFtD6L96/MzBCew7nMOz5k1r+D5Uo5byJXMKTWX8J0LVNPV51w0P4Xcbdtv395yoBY0EiCv/GsJ6fnbUGi9bNR8AMHdaaSfNsjWEVXyGdLfhvYdzgUPVq+U9puhSVX1xRZc/doKwn3lZV+eEUXbxSQc9plLuzyxhCESKJaO7RibwzbueBFAsGe13fm/X3/s0ntg5EvpZToV0GS2Y8b8gpLuMMh4kir/OONoTNUHYsOJmBISFkJN/u4SpuB+fv/UJAMCpi4bK7huF8C6j4WMn6jmn8ZfZVTsnTPMGkNNaVF5bD2+zirCsMcXTZy49Ees/sa4sC1S2hrCKrJwOYPYdzk1pmLv3mKIbq1iWwh827sEdT+wuC4g6yZnHzAwY81NekaF/f0opt2QUAFKG4R6b333DQ9i6bxxAMcjsc9Z5f+inj+C363eFdotNJkrXLf7+id348X1b8fgzI3hyz+Gp/jOby80QMiQkirv4t9Ujiikz5I/ceK7xYx8KphU4r89/sqBLi85Z0Zo25DWNnXACmnqGwfszhH/dNYpls/rQV2W2JGgu4hcuO7nm/YhaytMlNWxdKcVTwpDA8k5/IFDNGAmdzdt3OIfls/rq3yfPa+nAxrQUXvPNPwEI7np5pBIpljb+4QNnY7g3g4//7NGS+yQNAwfG8s7x2P7ZFAPpYpdRQJeX2sdjPYDefh37/v7MbtjP2r9u8fLr7nG/3tiE9eqNVMehnYhapHOO9kQNFtZKvlkZwsCxE76TBdNSOHq4p2VX9sPWMwWOnQj5N1XDf9L83h//Ga/8+t1VP74kiHau4l9wwpy69iVK+t9dXEPIQ3i7868hrOYCic4QjmYLUyoZ9WaY3YDQ82HtpAzhn66yZweuXjSE+UM96E4nytaDP7L9IADge3dvcbfpgNBUCllvQGgURwIFjbTp9/3ewpJoqYQR2jTrM5fGu5EUx04QtY/OOdoTNVhYyeijfzs0pef93h+fwtFX/gK/fWynu80MGTvhX0OoA0d9UvnSVfOmtC+1CjuBDB6sXH/L/KDHPeycrFXDWzKaLeiW7/G/nJ1yx05YboaV2pv3d3hJlTMlvaMpnjk4UfdrJ4ICwpLPaue8v2YNdGH9J9bh+jef7m7zlzpu3mNn5PaOlo8Wsiw7INTHQG8gFxS09/lGA+09HDyuqCedwOFc+UVGEeClp0R7fK+VO3aCqwiJYo8BIVGdwrqMXnfXk9i2fyzwtmp85Ca7TOlLt29yt4VmCJ0mB/rExTSLWaNN11yAf730pLr3ox5h2Y2gwcpTyRBONRDyBoR5p71+PaWrUUt7msqEvSeovejf4bzBblx72SlVPca7zvDxZ+q/AJXwvOf1197jWht8JBqqO50oudjkz2x96VX2mA5vF2e9ptBSChN5E90pO9BLeJrBBM2FDcoaBunNJJErWGVZwuk96dh3SGaGkKh9xPtoQhRjk/UxWe+0Ip+KGX0Z3HDP0zj6yl9g/+Fc8BpC31V9b5CQTBhNGYFRj8M5E5d8+a6SbQWr/gyXiOCmt5+B6990esn2sHJdfzY35zm5yhestsgOAsXMaL6g7Kxxm+w3hdOfgVp+lxnPWt1pU+iS6z0+6K+9pfCd/u7yBzIr59ojQ/wXlADAVMBYruA2+Ul5xkUMOAHhO89Z5j4uKEgMorOLY9nSY5s/wxhH7tiJ1u4GEVWBASFRncLWEALVjUGoZGZ/Gt/8g92q/Ol9YyEZQnubLsk0reDmM3Hw0NYDJd+blppSwHrSgkEM96VLtq34yC246sa/lN0357u6nvX8fnKm5ZZixl3CECScdaMFkxnCI4H3Ak61vCWj113+7Ibshw5MvSMOOi1D6Oc/xnvHvmj5gn2fibwJSxXXUacSxQ7QIoL+TBLvPf9Y93HVzortyzjrRXOFku35BvyNaTZ37AQjQqLYa4+zIKIYCioZfdWahQCAnDn1xjLDvZnijKuQNYT6JE5fpS5Yym1y0Cq3vufMqu7nXW9Tr6AM4/X3bC1/rXzpyVNQyWi7SCUEOdPCwfE8+rvaZ2QGBdPv4Vqy5d65eQuHexqyH/rijPdiiXR4jtB/iE97uvxe94cncfSVv8CYE6iNTtj/152Wp3WncHA8j4m8ib8dGC/J6gLVz2ztcUpLD2dLA8JsOwSEboaQESFR3LXPWRBRzASVjOpF/lPJEOqTjnTScE/I8qYVmA3aeSgLAPjPO+1Moj2svLUncctn97tfz/EN4fY2afB25KtXtU1psoXSAN37+8kV6m9u0wrdqQTGcyb2Hs5hhi9DSu1Hdxmt5T3ovYARdKGorv0QHRAWPyudniH0N5UxDHEyfxb+7TcbAAAjTiCoA0OdIRzsSeOOJ3ZjxUduwW8e2xlYEvyK1QsqNobRo3T8AeFkFSpx00a7StSx2ucsiChmgv4gDzhDznNm/X8B9dVU01LuCVm2EFwKumRmLwDg6b32gOK4NRr57hWn4X3nH+N+n/f8XLxDnOsV1thHG5nI46GtB8qupntLvnLm1APTKPV3pTAykce+w1lM72VA2O7053reYHfVj/Fm1hu1TjgRlCGMz6GkJYKOuamEgVzBcsv0J5wAWgeGeg3hkG9tZ1DA/+lLT8TnXjH5/NNeNyAsvajVDjFWp79/iNpJ+5wFEcVMUDAyTQeEdWYIlVJu0OR9/mwhOEP4ymfbJaqLhu3A0LJULNYQ6qvalirNpOqOfIBTMlrDIPsg84YmP4n+hx88gEu+fBcOjudLtpeUjLZRUxnA/tmOTBSw73AO03urW4dE8TXujBR41vxpVT+mGRltfXzxNmYa7vD31wfWrcBrT19Usi2dtMdJ6AuCOlDTYyN0KeiQ72JNvcdlXYI67muY1Q5Zt+IawjbYWaIOx4CQqE7+DOFAV9LtHFdvQOjNoJm+5w8aQm44TUZ0oGVnCFv/sf7eG07DmsXTsXB6T8kJZmmG0ERmiie2qYSBc1fMCr1dN7I5MDZJQNhmGcK+riS27R9H3lRVN6ag+NIjapbO7Kv6Mc14vxZLRu3PxnFzBnDVi1Y0/HXayXBfBldfckLJtlTCcMe+AMWAXitmCEsDwkrhYNhFqeD5kO0RZLlrCOO/q0Qdr33OgjxEZJ2IbBCRTSJyZav3hzqTHmWwauEgAOAvH3shMs58sPoDwuLj7JLR4klC2NrAVKI47yoOawgB4JSFQ/jhW9aiO50oKUHzziPMNWANIVBcsxNEl6TuPZwt2f7MoQmMOmtycqbVVmsIB7qS2LDTHmuyeEZjGopQ6/ztgD1Yfn6FbLdXowPCE+dPKzaVcRowvf45i9yGJlSUThjIFiw3yBnzZe70MafPN4x+sqDong+ei3s/dF7gbd6A0BsEtkOM5c4hbOleEFE12u5oLyIJAF8G8AIA2wDcKyI3K6Uea+2eUacxlb1e70dvWetm8xKGwBCUDRGulvdxBVOVXFVOhFxBThmGuyYubmsIgdImFQVfGexQz9RPbD/6dysx2JPCz/68wy0NLZgWkgnDDfT2jubKHrf6k7finecsx0TeLBn0HXfeE83FM6rPKlE8LZvdhw07R7BgqPrgvpEXfR79+Avdz0nCEPfzGlSRQLpktHgcG/eMg3j56vk4bfF0AEBvpvSY4q/48Jo10BV6mz6eFyyr5PjZDlGWvqDJDCFR/LVdQAjgNACblFKbAUBEbgBwMYC2CQh3HZrA489MfXA5tdaWvWNIiCCZMEo+SOmkUTb3rlrezKKlVMmi/LCTwKSTIbxr0x5M5M1YZAi9ZvQVyxrzTcgQzuzP4JOXPAu3PLKz+NxOQKjX7ew7XB4QTuQtfPbXG/CsedMws799xjfok/eulIFF05khbHefedmJeNvzl9Y0YF4a2K2j13OBwQ4I7c9oHNYix1E6YSDnucjlbfby8tUL3N+NP7tab1dQfTy3lCqZEdkOMZZ+B23Zexh3PLG7pftCFLW1S4fbqvqoHQPCeQC8g8a2AVjjvYOIvBnAmwFg4cKF0e1Zlf64eS/edcNDrd4NaoCgtv9ppwtdPbyBZMGyfAFh8IElmTDw4Nb9+N7dWwAAK+cO1PXazfIPZy3DQ1sP4Hcbdpesg8mZU59D6OX9WeUKFnrS3pLRYkA4b7AbH7noOLz1+w8AsJs1eAd9x93bzlqKad0pvP3sZQ3rMEmt05tJ4oR51TeUaaaECJ7aY3csbqcTmWabO60Lc5wusKmklGQI948Vjy3e4NqfIbTqnETkZghNhbznSdplDWFfJokbH9yOGx/c3urdIYrUnz96PqZ1t89xtB0DwoqUUl8H8HUAWL16deyOms9dNgP//ba1rd4NaoA508rX/aSTibqHBpc0lfE9RVjmL50wsMNZhzTZ/VolnTTwklPm4Xcbdpf8+7L5xjZz8f6rt+0fx2BP2j2p3edbQ7juhDl4y5lL8LU7NmPvaBZdNXR4bLUlM/vw4YuOb/Vu0BEoYQg27hoFEL/jSCv9v6vOdb/2X/DbM1o8tsz1/D1o1PrLRDtnCEVwy7ufh52HJirfmegI0ztJf4M4aseAcDuABZ7v5zvb2sZwXwbDfewOeKRKO4OL61HaVMZy23YD4WsIkwnBxFixbCmOWSMdmHnHTjR6/p83Q3jRv/8BT33qQrfszbuGUGcpdVfH/WN5t1U8USfzHjqYIQyWThol66L3jOawdskwfvDGNSXHXn/1Q71ru4trCFXJ34d2GUw/f6gH82tYH0tErdGOR/x7ASwXkcUikgZwGYCbW7xPRK50cgolowVvQIjq1hAaggnP4+J4ZT/pKXvSsnnT7craCBLQ2L2YIbQDwnTCwCcuXgkAJWu2uhkQEiHpCQK5hjBYTzqJiXzp8X2wJ1V2Ic4fAPoH1VfLzRD6AsI2iQeJqE20XYZQKVUQkXcA+DWABIDrlFKPtni3iFxTCQizBV+GsGTsRPD1m1TCKFmbF4c5hH46MCtpKhPB/D99TqbXEN79wXMx3RkY7e3q2E5rCImaxfAcbxINbFxzJOlOJTDm6SwK2AGhX39X6bZpPeXrzauhfw8Fq/1KRomofbTlWZBS6pdKqWOUUkuVUte0en+IvKbSZdQ7xL1glY6dCLti7y/timWGMFE8qQH01W7lNn1phKDzV/170OMovAHo8XMHcJTT7p0ZQiLA+3Gsdx30ka4rlcBfdx8u2TbQXR4QLp7Ri6+99lS85nS7sd2SGb11vZ5eKmBaqqTknhEhETVS22UIieIulTDqXkN4OFu88mwpVZJpDFuD4g8U4zaHEChmN/XPRQdqmQZm5rz/6jXOLLCsr7TLv66nx+kEyDWERKVZwbGcOck9O1fQ4XWwOzj798KVR+EFx83GiqMGcOmp8+t6PX2Bz7QURj0jLl61Jn4d1ImofTEgJGqwdMKo++r6uJMhTCcNFEyFkWzevS0s85cy4p8hTCVK1xDqn09jM4T2a0zvTbtrKv0ntf6fjT4BzjAgpDbzm/ecWVLi2Qh/O1jsBhk0UocQeLEvqGRUMwzBa05fVPfrGZ6S0ZEJ++/B995wGs5YOqPu5yQi8mNASNRg6aSBkYlC5TsG0EOOMwkDv3lsZ8mJRvgcQl+QE8NmEElfl1Gd+WxGINabSWDCCQT9A+n9A711Ceu0gJIvojg7ZnZ/0557Rl8aa5YMN+3521nQcoDBJh4/kp6mMqPO35UZfZlYdpMmovbVlmsIieIskzTw0NYDuOmh7dg1Utv8pV89sgMAMOKUjh4Y82QI23kNobNPeTdDWAx8G80QwYadI3hk+0E34xpGB6b1dgAkOhJd9/pnt3oXYitXKF+818zmWN6xE/pCY38Xr+UTUWPxqELUYDpAe9cNDwEAnvrUhVU/9s6Ne0JvC1sbmPIFinGcH+bOIXQCQh2INWMO4Za9YwCAq258GADwj+cuxykLBgMD6qwbELI8juid5yzD9N40Tpw/2Opdia1aS0anSkRgiL2G8JBTMtqf4QUsImosBoREDeYPckxLVdXoRVUYLBU+h7D09YZ74xfc6LEOOmOnAzF/k5ep8C+nUk4bvlMWDuLsY2cFPkZnKodi+DMjitp7zz+21bsQe4tn9OL3T+zGze84AxN5CwXLwqmLpjf1NZOGAVMpjDqVI33MEBJRg/GoQhP4mMoAABNzSURBVNRg/kYpo9lCVWvUvLMEg4QFhP4ZesN9mYqvFbXutL1W8K+7R5EtmM3JEDp9RkXsoc26Q/uM3vCfx9xp3dgwMcKSUSKqypUXrMDZK2ZFmkU1DPvvw66RLAZ7UrHsJE1E7S1+tWVEbc4f5HhHSUzGVOUNTl66ah6eu8zuJpcIKQX1Z7fimCHsSdvXnr7yu7/iwz99xG3M0Iy1N9e/6XQAwM5D9vrN4Um6JX77imfj3195irt/REST6Uol8PxjZkb6mknDgGkpbNw5guWz+iJ9bSLqDAwIiRrMv4av6oDQyRC+7ayl7rbPvfxkt/17WIZwum/9WywzhJ5uon/YtMedD5hJNr7L6FEDXRjoSmKv02F0soBwzrRu/N1Jcxu+D0REjaLXED65ZwxLZzIgJKLGY0BI1GD+Ji93b97rrv2YjA4I/YGfbi8eVibkzRAOdCWxeEZvTfsbBe++7zg4gat//hiAxmYIX7hyNgA7w9qbsTN+/V3JpgSdRERRSSbsDGE2b7rl90REjcQ6KaIGy/mG0n/kpkdx6/pd+O4Vp036OB0QGiL4wLoVbsmjO3w6ZInhdCcgnN6bxj0fPLct1pds2DkCoLFNZa684Di86cwlGOpNuz+DkxewWyIRtTdDBAVLIW9ZsewiTUTtjwEhUYNt2z9etu2OJ3ZXfJybIUwIrnhusWxUx3dWSBfSWf12ieih8bw7AL5dNDJDmDAEs/q7AAC7R7IAgEtPnd+w5yciaoWkITAtC3lTxXLOLBG1v/Y6eyRqA9WUhwbRAaE/w6e/N0MCwkXDdolooUKX0jjyd2RtlP4uuzHPkhlcb0NE7S1h2BlC01LMEBJRU/DIQtRgn7n0xLIudNVkwnTAl/AN1NMlo2Hxnm46E/cLx0FXtjOp5hyCfviW0/HqNQuxYk5/U56fiCgqCUPc2a3+NepERI3AgJCowRYN9+L960oHPPs7gQYpmMEZQjcgDIkIRQTXvX41fvOeM+vZ3cjc9+HzykZiZBLNaZCwdGYfrnnJs3g1nYjaXtIQZPOm/TWPaUTUBFxDSNQEvb65dtWUc+o1guUBYentQc5ZMbvGPYzeYE8aw31pdxwE0Jw5hERERxLDEEw4o3q4hpCImoFnY0RN0JMpZr4uX7sIBcua5N62QsgaQj12wmzDNYJ+/owdA0IiosmlEwZGnLXpPGYSUTPwyELUBH2ZYoYwmTDcctDJWGEBoVMyOkmCsG34T2baYUQGEVErDfaksHfU7pycNHjaRkSNxyMLURN0eYahJw1B3qw+Q+gvCXre8hkAgFWL2n+mHtf0ERHVZrAnhT06IGRTGSJqAq4hJGoCwxPUJRNSVbmndzC911nHzsJjn3ghetLt/3G958l9rd4FIqK2MtiTdtcQsssoETVD+59hEsXUhy88DicvGMSdG/egYCkopSAS/sfcO5je70gIBomIqHY9KW/FCassiKjxeGQhapI3Pm8JVh893S0BrdRp1J1DyD/4RETk8K69Ztk9ETUDjyxETabnRlVqLKMzhP7B9ERE1LnecuZS92uWjBJRMzAgJGoy/Qc8X2H0RNhg+iPJne8/G9e+4uRW7wYRUdsY6C7tWk1E1GhcmETUZLpk1KyQIQwbTH8kWTC954gYn0FEFBXv2vPUEfz3gYhahwEhUZMlnCu6FTOEIXMIjzTzh7px5jEzsXRmb6t3hYiorTBDSETNwICQqMn0Fd1Kawif3D0K4MgPCA1D8N0rTmv1bhARtR2uISSiZuClJqImq6apzPodh/Cxnz1m3/8IDwiJiKg+3o6jRESNwiMLUZMVx06El4z+afNe92v/YHoiIiKAM2mJqDkYEBI1mR40P9kcwi37xsruT0RE5NWTTlS+ExFRjRgQEjVZ0hk0nzfDM4Te2470NYRERFSfbgaERNQEDAiJmkw3AZhsDaF3FAMH0xMRUZCeFANCImo8BoRETZYwKpeMmp7bMil+LImIqBzHThBRM/DIQtRkuitctmCG3idXKJaMdiV5BZiIiIiIosGAkKjJhnszAIC9o7nQ+2Q9ASHXiBARERFRVBgQEjXZjL40AGDPaDb0Pt7sYYZzpoiIiIgoIhxoQ9RkQz1pJAypEBAWM4TCpjJEROTx5Vetwq6RiVbvBhEdoRgQEjWZYQim96axZ2SSktF8+EgKIiLqbBeeOKfVu0BERzDWphFFYGZfpuqSUSIiIiKiqDAgJIrAjP5KASEzhEREREQUPQaERBGY0ZfGniq7jBIRERERRYUBIVEEZvZlsHskC6WCh9Nn8ywZJSIiIqLoMSAkisBgTxo508JESPOYnKkw0JXEFy47OeI9IyIiIqJOxoCQKAL9XXZD30MT+cDb86aFl5wyDxefPC/K3SIiIiKiDseAkCgCA90pAMDIJAFhKsGPIxERERFFi2egRBHQGcKD44XA2wumQirJjyMRERERRYtnoEQRGOgKzxAqpZBjhpCIiIiIWoBnoEQRGHAyhCMT5RnCgmV3Hk0nJNJ9IiIiIiJiQEgUgWk9dobwwFj5LMK8aXceTTJDSEREREQR4xkoUQSm96QBAFv3j2PnoYmS2/IFO0PIklEiIiIiihrPQIkikEwYGOpJ4et3bMaaf74NAHDfU/vwxds2Im/ZGUKWjBIRERFR1JKt3gGiTjHcl8H+sWJTmUu/+kcAwMtOnQ+AGUIiIiIiih7PQIkiMqMvHbh936i9rpBrCImIiIgoajwDJYrIcF8mcPvuUXtNYYolo0REREQUMQaERBEZcjqNAvbswYRhB4Bv/f4DAIA0M4REREREFLGWnYGKyGdF5HER+YuI/FREBj23XSUim0Rkg4i80LN9nbNtk4hc2Zo9J6rPWM50vy5YCl1J++OXK9hNZbiGkIiIiIii1soz0FsBnKCUOhHAEwCuAgAROR7AZQBWAlgH4D9EJCEiCQBfBnABgOMBvNK5L1Hb2bhzFIaUloiaSrVob4iIiIioU7UsIFRK/UYpVXC+vRvAfOfriwHcoJTKKqWeBLAJwGnOf5uUUpuVUjkANzj3JWoLV16wAmknK/iiL96JkWyh5PagofVERERERM0Ulxq1KwD8yvl6HoCtntu2OdvCtpcRkTeLyH0ict/u3bubsLtEtZvV34WPXBSe1J7V3xXh3hARERERNXkOoYj8FsBRATd9SCl1k3OfDwEoAPhBo15XKfV1AF8HgNWrV7MOj2IjbPj8vMFunL1iVsR7Q0RERESdrqkBoVLqvMluF5HXA7gIwLlKuQuotgNY4LnbfGcbJtlO1BbCGsccM7sv4j0hIiIiImptl9F1AN4P4MVKqTHPTTcDuExEMiKyGMByAPcAuBfAchFZLCJp2I1nbo56v4mmIiwg3LZ/POI9ISIiIiJqcoawgi8ByAC4Vexui3crpd6qlHpURH4E4DHYpaRvV0qZACAi7wDwawAJANcppR5tza4T1ScsILTYYZSIiIiIWqBlAaFSatkkt10D4JqA7b8E8Mtm7hdRM6VC1hDmTQaERERERBS9uHQZJeoIYRlC79B6IiIiIqKoMCAkilBYQPjSVYETVIiIiIiImooBIVGE0sngktEr162IeE+IiIiIiBgQEkWqK5UI3G4YwYEiEREREVEzMSAkilB/JuV+/QFmBYmIiIioxRgQEkWov6vY2PeSU+a2cE+IiIiIiBgQEkWqzxMQpkMazBARERERRaWVg+mJOo63y2g6aeC/3rgGmZB1hUREREREzcaAkKhF+jJJPGfZjFbvBhERERF1MNasEbWICDuLEhEREVFrMUNIFLHfvOdM9Gb40SMiIiKi1uNZKVHEjpnd3+pdICIiIiICwJJRIiIiIiKijsWAkIiIiIiIqEMxICQiIiIiIupQDAiJiIiIiIg6FANCIiIiIiKiDsWAkIiIiIiIqEMxICQiIiIiIupQDAiJiIiIiIg6FANCIiIiIiKiDsWAkIiIiIiIqEMxICQiIiIiIupQDAiJiIiIiIg6lCilWr0PTSUiuwFsafV+BJgBYE+rd4KOaHyPUTPx/UXNxPcXNRPfX9RscXyPLVJKzQy64YgPCONKRO5TSq1u9X7QkYvvMWomvr+omfj+ombi+4uard3eYywZJSIiIiIi6lAMCImIiIiIiDoUA8LW+Xqrd4COeHyPUTPx/UXNxPcXNRPfX9RsbfUe4xpCIiIiIiKiDsUMIRERERERUYdiQEhERERERNShGBC2gIisE5ENIrJJRK5s9f5Q+xGRBSJyu4g8JiKPisi7nO3TReRWEdno/H/I2S4i8kXnPfcXEVnV2n8BtQMRSYjIgyLyc+f7xSLyJ+d99EMRSTvbM873m5zbj27lflP8icigiPxERB4XkfUispbHL2okEXmP8/fxERG5XkS6eAyjeonIdSKyS0Qe8Wyr+ZglIpc7998oIpe34t8ShAFhxEQkAeDLAC4AcDyAV4rI8a3dK2pDBQDvVUodD+B0AG933kdXArhNKbUcwG3O94D9flvu/PdmAF+JfpepDb0LwHrP958G8Hml1DIA+wG8wdn+BgD7ne2fd+5HNJkvALhFKbUCwEmw32c8flFDiMg8AP8IYLVS6gQACQCXgccwqt+3AazzbavpmCUi0wF8FMAaAKcB+KgOIluNAWH0TgOwSSm1WSmVA3ADgItbvE/UZpRSO5RSDzhfj8A+mZoH+730Hedu3wFwifP1xQC+q2x3AxgUkTkR7za1ERGZD+BCAN9wvhcA5wD4iXMX//tLv+9+AuBc5/5EZURkGoAzAXwTAJRSOaXUAfD4RY2VBNAtIkkAPQB2gMcwqpNS6g4A+3ybaz1mvRDArUqpfUqp/QBuRXmQ2RIMCKM3D8BWz/fbnG1EdXFKW04B8CcAs5VSO5ybngEw2/ma7zuq1bUA3g/Acr4fBnBAKVVwvve+h9z3l3P7Qef+REEWA9gN4FtOSfI3RKQXPH5RgyiltgP4VwBPww4EDwK4HzyGUWPVesyK7bGMASFRGxORPgD/DeDdSqlD3tuUPVOGc2WoZiJyEYBdSqn7W70vdERKAlgF4CtKqVMAHEax1AoAj180NU4Z3sWwLz7MBdCLmGRi6MjU7scsBoTR2w5ggef7+c42opqISAp2MPgDpdSNzuadupTK+f8uZzvfd1SLMwC8WESegl3Wfg7sNV+DTvkVUPoect9fzu3TAOyNcoeprWwDsE0p9Sfn+5/ADhB5/KJGOQ/Ak0qp3UqpPIAbYR/XeAyjRqr1mBXbYxkDwujdC2C50+kqDXuR880t3idqM87ahm8CWK+U+pznppsB6K5VlwO4ybP9dU7nq9MBHPSUORCVUEpdpZSar5Q6GvYx6n+VUq8GcDuAS527+d9f+n13qXP/tr1SSs2llHoGwFYROdbZdC6Ax8DjFzXO0wBOF5Ee5++lfo/xGEaNVOsx69cAzheRISeLfb6zreWE7/foiciLYK/PSQC4Til1TYt3idqMiDwXwJ0AHkZxjdcHYa8j/BGAhQC2AHi5Umqf8wfxS7BLZsYA/L1S6r7Id5zajoicBeB9SqmLRGQJ7IzhdAAPAniNUiorIl0Avgd7Les+AJcppTa3ap8p/kTkZNgNi9IANgP4e9gXqXn8ooYQkY8DeAXsrtwPAngj7PVaPIZRzUTkegBnAZgBYCfsbqH/gxqPWSJyBezzNQC4Rin1rSj/HWEYEBIREREREXUolowSERERERF1KAaEREREREREHYoBIRERERERUYdiQEhERERERNShGBASERERERF1KAaERETU0URkWEQecv57RkS2O1+Pish/NOk13y0ir2vA89wgIssbsU9ERNSZOHaCiIjIISIfAzCqlPrXJr5GEsADAFYppQpTfK7nw56l9qaG7BwREXUcZgiJiIgCiMhZIvJz5+uPich3ROROEdkiIi8Vkc+IyMMicouIpJz7nSoivxeR+0Xk1yIyJ+CpzwHwgA4GReR3IvJ5EblPRNaLyLNF5EYR2Sgin3Tu0ysivxCRP4vIIyLyCue57gRwnhNkEhER1YwBIRERUXWWwg7mXgzg+wBuV0o9C8A4gAudoPDfAVyqlDoVwHUArgl4njMA3O/bllNKrQbwVQA3AXg7gBMAvF5EhgGsA/A3pdRJSqkTANwCAEopC8AmACc19F9KREQdg1cUiYiIqvMrpVReRB4GkIATlAF4GMDRAI6FHcTdKiJw7rMj4HnmAFjv23az57keVUrtAAAR2QxggbP930Tk0wB+rpS60/PYXQDmojzIJCIiqogBIRERUXWygJ2VE5G8Ki7Ct2D/PRXYwdzaCs8zDqAr6Lmd58p6tlsAkkqpJ0RkFYAXAfikiNymlPqEc58u5zmJiIhqxpJRIiKixtgAYKaIrAUAEUmJyMqA+60HsKyWJxaRuQDGlFLfB/BZAKs8Nx8D4JH6dpmIiDodM4REREQNoJTKicilAL4oItNg/429FsCjvrv+CsD3anz6ZwH4rIhYAPIA3gYAIjIbwLhS6pkp7TwREXUsjp0gIiKKmIj8FMD7lVIbp/g87wFwSCn1zcbsGRERdRqWjBIREUXvStjNZabqAIDvNOB5iIioQzFDSERERERE1KGYISQiIiIiIupQDAiJiIiIiIg6FANCIiIiIiKiDsWAkIiIiIiIqEMxICQiIiIiIupQ/x/KCM/lEC/XagAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", "ax.plot(time, Bruit())\n", "ax.set_xlabel('Time (ms)')\n", "ax.set_ylabel('I_b (pA)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QUESTION: ce modèle représente-t-il bien celui dans le papier? régler $I_n$ et $I_0$ pour obtenir quelque chose qui corresponde mieux.\n", "\n", "REPONSE: Les paramètres `In = 1000pA` et `I0 = 200pA` donnent un ordre de grandeur de ce qui est présenté dans le papier." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Neurone LIF avec Input bruité\n", "\n", "Observons maintenant la réponse de notre neurone LIF à cette entrée:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "inputHidden": false, "jupyter": { "outputs_hidden": false }, "outputHidden": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_trials = 5\n", "V1 = np.zeros((n_trials,len(time)))\n", "\n", "for i in range(n_trials):\n", " V1[i, :] = leaky_IF(time, Bruit())\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", "ax.plot(time, V1.T)\n", "ax.plot(time, np.ones_like(time)*Vthreshold, 'g--')\n", "ax.set_xlabel('Time (ms)')\n", "ax.set_ylabel('v (mV)');" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", "ax.eventplot([dt*np.where(V1.T[:, i] == 30)[0] for i in range(0, n_trials)], \n", " colors='black', lineoffsets=1, linelengths=0.9);\n", "ax.set_ylabel('numéro essai')\n", "ax.set_xlabel('Time (ms)')\n", "ax.set_xlim(time.min(), time.max())\n", "ax.set_ylim(-.5, n_trials-.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QUESTION: régler $I_n$ et $I_0$ pour obtenir quelque chose qui corresponde mieux à la sortie observée:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "I_0= 100.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "I_0= 135.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "I_0= 170.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
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\n", "text/plain": [ "
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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for rho in np.linspace(0.5, 1.2, 5):\n", " I_0_ = rho*200\n", " print('I_0=', I_0_)\n", " V= leaky_IF(time, Bruit(time, I_n=1000, I_0=I_0_))\n", "\n", " fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", " ax.plot(time, V)\n", " ax.set_ylim(-83, 40)\n", " ax.set_ylabel(\"potentiel de membrane (mV)\")\n", " ax.set_xlabel('Time (ms)')\n", "\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "REPONSE: `I0 = 200` semble qualitativement correct." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "I_n= 600.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "I_n= 799.9999999999999\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "I_n= 1000.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for rho in np.linspace(0.6, 1.4, 5):\n", " I_n_ = rho*1000\n", " print('I_n=', I_n_)\n", " V= leaky_IF(time, Bruit(time, I_n=I_n_, I_0=200))\n", "\n", " fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", " ax.plot(time, V)\n", " ax.set_ylim(-83, 40)\n", " ax.set_ylabel(\"potentiel de membrane (mV)\")\n", " ax.set_xlabel('Time (ms)')\n", "\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QUESTION: obtient-on bien quelque chose de reproductible?\n", "\n", "REPONSE: Non, à chaque nouvelle exécution, les graphes seront différents, et ce quelques soient les valeurs de I_0, et dans la mesure ou la valeur de I_n n'approche pas de 0 (dans ce cas il n'y aurait plus de variabilité et on aurait plus de bruit). Cela a pour origine le bruit utilisé dans le modèle. Celui ci change à chaque nouvelle simulation du modèle, simulant un stimulus différent, la réponse du neurone n'est donc jamais la même:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "inputHidden": false, "jupyter": { "outputs_hidden": false }, "outputHidden": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_trials = 5\n", "V1 = np.zeros((n_trials,len(time)))\n", "\n", "for i in range(n_trials):\n", " V1[i, :] = leaky_IF(time, Bruit(time, I_n=1000, I_0=200))\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", "ax.plot(time, V1.T)\n", "ax.plot(time, np.ones_like(time)*Vthreshold, 'g--')\n", "ax.set_xlabel('Time (ms)')\n", "ax.set_ylabel('v (mV)');" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA24AAAFkCAYAAABYVWgoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAXA0lEQVR4nO3dfYxld33f8c+XXYMDKXaAFQLbzfKMXBODM0VQIzo1VDUBQZU4PCg8imLRUgEJFYK0UkOU/JESAnkAIgdIDETQhJCCCJAiYhNQA8ksT8YYimsg4Nr18ozB8gP+9o97Zz2sZ3ev7T1zfzPzekmjvffcu+d8Z+bort8+555b3R0AAADGdadlDwAAAMDRCTcAAIDBCTcAAIDBCTcAAIDBCTcAAIDB7V32ABvd61736v379y97DAAAgKU4cODAN7p73+HLhwq3/fv3Z21tbdljAAAALEVVfXWz5U6VBAAAGJxwY0daXV3N6urqjt/miDOw9fzef9zx/nmMvr4pLWvWEX5Gx2uGqb6XrfoZjfC7AGaEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOCEGwAAwOAmD7eq2lNVn6qq9029LQAAgJ1oK464vSTJZVuwHQAAgB1p0nCrqlOTPDHJm6bcDgAAwE429RG31yV5eZKbj/SEqjq/qtaqau3gwYMTjwMAALD9TBZuVfWkJNd094GjPa+7L+jule5e2bdv31TjAAAAbFtTHnE7O8mTq+orSd6Z5JyqevuE2wMAANiRJgu37n5ld5/a3fuTPD3J33T3M6faHgAAwE7lc9wAAAAGt3crNtLdFye5eCu2BQAAsNM44gYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADC46u5lz3DIyspKr62tLXsMAACApaiqA929cvhyR9wAAAAGJ9wAAAAGJ9wAAAAGJ9wAAAAGJ9wAAAAGJ9zY1lZXV7O6urrsMe6QnfA9bBfL/lkve/vHy/H4Pqb4WWzFz3eU3+FOmWPK72OUn1Gyu/ZNYDrCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHDCDQAAYHCThVtVnVhVf19Vn6mqS6vqVVNtCwAAYCfbO+G6r09yTndfW1UnJPlYVX2guz8+4TYBAAB2nMnCrbs7ybXzuyfMv3qq7QEAAOxUk77Hrar2VNWnk1yT5EPd/YlNnnN+Va1V1drBgwenHAcAAGBbmjTcuvtH3f3wJKcmeWRVnbHJcy7o7pXuXtm3b9+U4wAAAGxLW3JVye7+TpKLkpy7FdsDAADYSaa8quS+qjp5fvsnkvzrJF+YansAAAA71ZRXlbxPkgurak9mgfhn3f2+CbcHAACwI015VcnPJnnEVOsHAADYLbbkPW4AAADcfsINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcMINAABgcNXdy57hkJWVlV5bW1v2GAAAAEtRVQe6e+Xw5Y64AQAADG7vkR6oqod29xeq6qzNHu/uT043FgAAAOuOGG5JfiXJ+Ules8ljneScSSYCAADgxxwx3Lr7/Pmf/2rrxgEAAOBwRzvidkhVnZHk9CQnri/r7rdONRQAAAC3OGa4VdV/TbKaWbi9P8kTknwsiXADFra6upokufjii5c6x20x+syjz8etjfA7O14zLPN7Wca2R/jdTWmnf3+wEyxyVcnzkjwuydXd/bwkZyY5adKpAAAAOGSRcLuuu29OclNV3T3JNUlOm3YsAAAA1i3yHre1qjo5yR8lOZDk2iR/N+lUAAAAHHLMcOvu/zC/+YdV9cEkd+/uz047FgAAAOuOeapkVZ1dVXeb331MkudW1U9POxYAAADrFnmP2xuT/LCqzkzysiT/J64oCQAAsGUWCbeburuTPCXJH3T365P8k2nHAgAAYN0iFyf5flW9Mskzkzy2qu6U5IRpxwIAAGDdIkfcnpbk+iTP7+6rk5ya5NWTTgUAAMAhCx1xS/K73f2jqnpwkocmece0YwEAALBukSNuf5vkLlV1SpL/meRZSf5kyqEAAAC4xSLhVt39wyQ/n+QN3f2LSc6YdiwAAADWLRRuVfXoJL+U5K9uw98DAADgOFgkwF6a5JVJ/rK7L62q+ye5aNqxAAAAWHfMi5N090eSfKSq7jq/f0WSF089GAAAADPHPOJWVY+uqs8n+cL8/plV9YbJJwMAACDJYqdKvi7Jv0nyzSTp7s8keeyUQwEAAHCLhS4y0t1fO2zRjyaYBQAAgE0s8gHcX6uqf5Gkq+qEJC9Jctm0YwEAALBukSNuL0zyoiSnJLkyycPn9wEAANgCi1xV8huZfYYbAAAAS+CDtAEAAAYn3AAAAAYn3AAAAAa3yAdwn1RVr62qtfnXa6rqpAX+3mlVdVFVfb6qLq2qlxyfkQEAAHaXRY64vSXJ95I8df71vSR/vMDfuynJy7r79CSPSvKiqjr99g4KAACwWy3yOW4P6O5f2HD/VVX16WP9pe6+KslV89vfr6rLMvtIgc/frkkBAAB2qUWOuF1XVY9Zv1NVZye57rZspKr2J3lEkk9s8tj566dhHjx48LasFgAAYFdY5IjbC5O8dcP72r6d5DmLbqCqfjLJXyR5aXd/7/DHu/uCJBckycrKSi+6XgAAgN3iqOFWVXuSPKu7z6yquyfJZvF1lL9/QmbR9qfd/e47NCkAAMAuddRw6+4frZ8meVuCLUmqqpK8Ocll3f07t39EAACA3W2RUyU/VVXvTfLnSX6wvnCBI2hnJ3lWkks2XMzkV7v7/bdrUgAAgF1qkXA7Mck3k5yzYVknOWq4dffHktTtHw0AAIBkgXDr7udtxSAAAABs7pgfB1BVD66qD1fV5+b3f6aq/sv0owEAAJAcIdyq6oVV9dD53T9K8sokNyZJd382ydO3ZjwAAACOdMTt7UleMb991+7++8Mev2m6kQAAANho03Dr7muTvGB+9xtV9YDMLkiSqjovyVVbMx4AAABHvDhJd984v/miJBckeWhVXZnky0meuQWzAQAAkMWuKnlFksdX1d2S3Km7vz/9WAAAAKw7ZrhV1clJnp1kf5K9VbOPZuvuF086GQAAAEkW+wDu9yf5eJJLktw87TgAAAAcbpFwO7G7f2XySQAAANjUMT+AO8nbquoFVXWfqrrH+tfkkwEAAJBksSNuNyR5dZL/nPlHAsz/vP9UQwEAAHCLRcLtZUke2N3fmHoYAAAAbm2RUyUvT/LDqQcBAABgc4sccftBkk9X1UVJrl9f6OMAAAAAtsYi4fY/5l8AAAAswTHDrbsv3IpBAAAA2Nwxw62qvpxbriZ5SHe7qiQAAMAWWORUyZUNt09M8otJfI4bAADAFjnmVSW7+5sbvq7s7tcleeIWzAYAAEAWO1XyrA1375TZEbhFjtQBAABwHCwSYK/ZcPumJF9J8tRJpgEAAOBWqvtW1x1ZmpWVlV5bW1v2GAAAAEtRVQe6e+Xw5YucKnmXJL+QZP/G53f3rx/PAQEAANjcIqdKvifJd5McSHL9tOMAAABwuEXC7dTuPnfySQAAANjUMT8OIMn/qqqHTT4JAAAAm1rkiNtjkjy3qr6c2amSlaS7+2cmnQwAAIAki4XbEyafAo6j1dXVJMnFF1+81DnYWsv6vdvfftx2+nlsp1m3o+P58z0e6/L7Bra7Y4Zbd391KwYBAABgc4u8xw0AAIAlEm4AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDE24AAACDmyzcquotVXVNVX1uqm0AAADsBlMecfuTJOdOuH4AAIBdYbJw6+6/TfKtqdYPAACwWyz9PW5VdX5VrVXV2sGDB5c9DgAAwHCWHm7dfUF3r3T3yr59+5Y9DgAAwHCWHm4AAAAcnXADAAAY3JQfB/COJH+X5CFV9fWqev5U2wIAANjJ9k614u5+xlTrBgAA2E2cKgkAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADA44QYAADC46u5lz3DIyspKr62tLXsMAACApaiqA929cvhyR9wAAAAGJ9wAAAAGJ9wAAAAGJ9wAAAAGJ9wAAAAGJ9wAAAAGJ9zgGFZXV7O6urrsMW6XrZjdz2d72mnf+076fnbS93I0u+X7XBY/X9h5hBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsAAMDgJg23qjq3qr5YVZdX1Sum3BYAAMBONVm4VdWeJK9P8oQkpyd5RlWdPtX2AAAAdqopj7g9Msnl3X1Fd9+Q5J1JnjLh9gAAAHakKcPtlCRf23D/6/NlP6aqzq+qtapaO3jw4ITjAAAAbE9LvzhJd1/Q3SvdvbJv375ljwMAADCcKcPtyiSnbbh/6nwZAAAAt8GU4fYPSR5UVferqjsneXqS9064PQAAgB1p71Qr7u6bquo/JvnrJHuSvKW7L51qewAAADvVZOGWJN39/iTvn3IbAAAAO93SL04CAADA0Qk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwQk3AACAwVV3L3uGQ1ZWVnptbW3ZYwAAACxFVR3o7pXDlzviBgAAMDjhBgAAMLihTpWsqu8n+eKy54BN3CvJN5Y9BByB/ZNR2TcZmf2TUf10d+87fOHeZUxyFF/c7HxOWLaqWrNvMir7J6OybzIy+yfbjVMlAQAABifcAAAABjdauF2w7AHgCOybjMz+yajsm4zM/sm2MtTFSQAAALi10Y64AQAAcBjhBgAAMLghwq2qzq2qL1bV5VX1imXPw+5SVadV1UVV9fmqurSqXjJffo+q+lBVfWn+50/Nl1dV/d58f/1sVZ213O+A3aCq9lTVp6rqffP796uqT8z3w/9eVXeeL7/L/P7l88f3L3NudraqOrmq3lVVX6iqy6rq0V47GUVV/fL83/XPVdU7qupEr51sZ0sPt6rak+T1SZ6Q5PQkz6iq05c7FbvMTUle1t2nJ3lUkhfN98FXJPlwdz8oyYfn95PZvvqg+df5Sd649SOzC70kyWUb7v9Wktd29wOTfDvJ8+fLn5/k2/Plr50/D6byu0k+2N0PTXJmZvuo106WrqpOSfLiJCvdfUaSPUmeHq+dbGNLD7ckj0xyeXdf0d03JHlnkqcseSZ2ke6+qrs/Ob/9/cz+w+OUzPbDC+dPuzDJv53ffkqSt/bMx5OcXFX32eKx2UWq6tQkT0zypvn9SnJOknfNn3L4/rm+374ryePmz4fjqqpOSvLYJG9Oku6+obu/E6+djGNvkp+oqr1J7prkqnjtZBsbIdxOSfK1Dfe/Pl8GW25+asQjknwiyb27+6r5Q1cnuff8tn2Wrfa6JC9PcvP8/j2TfKe7b5rf37gPHto/549/d/58ON7ul+Rgkj+en8b7pqq6W7x2MoDuvjLJbyf5x8yC7btJDsRrJ9vYCOEGQ6iqn0zyF0le2t3f2/hYzz43w2dnsOWq6klJrunuA8ueBQ6zN8lZSd7Y3Y9I8oPcclpkEq+dLM/8vZVPyex/MNw3yd2SnLvUoeAOGiHcrkxy2ob7p86XwZapqhMyi7Y/7e53zxf/v/XTeOZ/XjNfbp9lK52d5MlV9ZXMTiU/J7P3FZ08P/0n+fF98ND+OX/8pCTf3MqB2TW+nuTr3f2J+f13ZRZyXjsZweOTfLm7D3b3jUnendnrqddOtq0Rwu0fkjxofpWfO2f2xtH3LnkmdpH5OexvTnJZd//Ohofem+Q589vPSfKeDcufPb9C2qOSfHfDaUFwXHX3K7v71O7en9nr49909y8luSjJefOnHb5/ru+3582f74gHx113X53ka1X1kPmixyX5fLx2MoZ/TPKoqrrr/N/59f3TayfbVo2wT1bVz2X2Ho49Sd7S3b+55JHYRarqMUk+muSS3PIeol/N7H1uf5bknyb5apKndve35v8A/EFmp1z8MMnzunttywdn16mq1ST/qbufVFX3z+wI3D2SfCrJM7v7+qo6McnbMnuv5reSPL27r1jWzOxsVfXwzC6ac+ckVyR5Xmb/U9hrJ0tXVa9K8rTMrh79qST/LrP3snntZFsaItwAAAA4shFOlQQAAOAohBsAAMDghBsAAMDghBsAAMDghBsAAMDghBsA20JV3bOqPj3/urqqrpzfvraq3jDRNl9aVc8+Dut5Z1U96HjMBMDu5OMAANh2qurXklzb3b894Tb2JvlkkrO6+6Y7uK5/mdnnRb3guAwHwK7jiBsA21pVrVbV++a3f62qLqyqj1bVV6vq56vqv1XVJVX1wao6Yf68n62qj1TVgar666q6zyarPifJJ9ejraourqrXVtVaVV1WVf+8qt5dVV+qqt+YP+duVfVXVfWZqvpcVT1tvq6PJnn8PAYB4DYTbgDsNA/ILLqenOTtSS7q7ocluS7JE+fx9vtJzuvun03yliS/ucl6zk5y4LBlN3T3SpI/TPKeJC9KckaS51bVPZOcm+T/dveZ3X1Gkg8mSXffnOTyJGce1+8UgF3D//kDYKf5QHffWFWXJNmTeTwluSTJ/iQPySy2PlRVmT/nqk3Wc58klx227L0b1nVpd1+VJFV1RZLT5stfU1W/leR93f3RDX/3miT3za1jEACOSbgBsNNcn8yOclXVjX3Lm7lvzuzfvcosuh59jPVcl+TEzdY9X9f1G5bfnGRvd//vqjoryc8l+Y2q+nB3//r8OSfO1wkAt5lTJQHYbb6YZF9VPTpJquqEqvpnmzzvsiQPvC0rrqr7Jvlhd789yauTnLXh4Qcn+dztGxmA3c4RNwB2le6+oarOS/J7VXVSZv8Wvi7JpYc99QNJ3nYbV/+wJK+uqpuT3Jjk3ydJVd07yXXdffUdGh6AXcvHAQDAEVTVXyZ5eXd/6Q6u55eTfK+733x8JgNgt3GqJAAc2Ssyu0jJHfWdJBceh/UAsEs54gYAADA4R9wAAAAGJ9wAAAAGJ9wAAAAGJ9wAAAAGJ9wAAAAG9/8Bf3A+5zpDdfYAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", "ax.eventplot([dt*np.where(V1.T[:, i] == 30)[0] for i in range(0, n_trials)], \n", " colors='black', lineoffsets=1, linelengths=0.9);\n", "ax.set_ylabel('numéro essai');\n", "ax.set_xlabel('Time (ms)')\n", "ax.set_xlim(time.min(), time.max())\n", "ax.set_ylim(-.5, n_trials-.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## bruit gelé" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QUESTION : quel est la nature du bruit utilisé dans l'article? pourquoi peut-on le décrire comme un [bruit gelé](https://www.oxfordreference.com/view/10.1093/oi/authority.20110803095836900) ?\n", "\n", "REPONSE: La nature du bruit utilisé dans l'article est un bruit blanc Gaussien filtré généré par l'ordinateur. Le bruit blanc gaussien est un bruit blanc qui suit une loi normale de moyenne et variance données. On peut le décrire comme un \"bruit gelé\", c'est un bruit qui se répète à l'identique au cours des essais." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "QUESTION : comment implanter un tel bruit? que savez-vous des générateurs de bruit utilisés dans un ordinateur?\n", "\n", "REPONSE: On peut implanter ce bruit par informatique en \"gelant\" les inputs.\n", "Les générateurs de bruit utilisés dans un ordinateur, servent à générer un signal de bruit précis tout en maintenant une haute précision du ratio entre le bruit fourni par l'utilisateur et le bruit interne, au dessus de la gamme étendue du niveau de puissance et de fréquence du signal. Pour générer un bruit gelé, il suffit de fixer l'état de notre machine dans son processus aléatoire, cela peut se faire via la fonction `random.seed` de la bibliothèque `numpy` par exemple:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on built-in function seed:\n", "\n", "seed(...) method of numpy.random.mtrand.RandomState instance\n", " seed(self, seed=None)\n", " \n", " Reseed a legacy MT19937 BitGenerator\n", " \n", " Notes\n", " -----\n", " This is a convenience, legacy function.\n", " \n", " The best practice is to **not** reseed a BitGenerator, rather to\n", " recreate a new one. This method is here for legacy reasons.\n", " This example demonstrates best practice.\n", " \n", " >>> from numpy.random import MT19937\n", " >>> from numpy.random import RandomState, SeedSequence\n", " >>> rs = RandomState(MT19937(SeedSequence(123456789)))\n", " # Later, you want to restart the stream\n", " >>> rs = RandomState(MT19937(SeedSequence(987654321)))\n", "\n" ] } ], "source": [ "help(np.random.seed)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "inputHidden": false, "jupyter": { "outputs_hidden": false }, "outputHidden": false }, "outputs": [ { "data": { "image/png": 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SMksZL1p4w7fuxt9fsxYf+OEDnR4OIYnRBVx/rvHG9GFB2A0OYTeMIUy47UQpJAgXDebw+defDADYOcLWE92KEvaJHULtWBzsyyBrGg2HjHbj8UwIiYeCkJBZyq8f2oF1W4YBADtHCh0eDSHJ0SebA00IwkxIEHZDC4puGEOYcGP68Biff+RiHLXUbeOxY5jXkG6l4hA2LghPP3QBMmbjRWUCDmH3HdqEkBAUhITMUvTf6KzJS0E9LNvB7lFOersB3a0476glDb++Gx1Cy/tMZx6+ELkuOR/DveR0UTAvn8FnXncSDpqfBwDsGeO50a34DmHC41wJx/e/8Eh86jUnoi9jNNxXsBvbuhBC4umOXx1CSEfJmp2tsNgLfPbXj+Hsf7+FFRW7ACXgvv2us7BsXr7h14cdwm7KIezPmig7TmxFz+lEdwiFAErefjps0QAe+PTLsHRun9/GIxxOSrqHgvc9Jm2tos6vc45YjKxpYG4+i7FiY9e9YA5h549lQkhtKAgJmaXo882MwUtBPW55fA8AVlTsBlRJ+0yTCxlm6Hhv1CH89C8ewXWrtzT13nGoMeSzJqTsDtdSzyF8dv+k72L+62tP9KMK1HfQaONyMn0od88Uyc4X5RAqATkvnwm0eklCNxy/hJDkcBZIyCxFX7XNZngpqIfSEBbLqSfm94/sxD/9uLqReauoyWbY6UtKqzmEP7jvWXz8hvVNvXccagyqSE6jRTzagV5ldNvQlF84JqOFtGa9E6PRHDMyfah2IUlTA9RXqQTkvP4sRgtlTBQtbD0wmWgb3ZgTSwiJh7NAQghyDBmti3JRS5z4JuYDP1yLn6/bnvp2VYhns8522FnsBjdDLTT0Z93PVO6CHKyi5eAFxyzBqsUDAIC94yUAQFYT1GpfcqGke9nj5T43WlRGnV5z8xmMFSxc9M278YIv3ZZsG9rx0AXRz4SQOlAQEjJLYchoY6hCJOHebKQ+aQsutb1mc1/7Qo54N+UQ5rOeQ9gFOXnFsoO+jIFPXngiAGCi6IYN6hEFynXqBgFLolHFsOIWs8q2gx3DlbYhD29zq0+r34V5+SxGp8rYuGc88XvSISSkt+AskBDCkNEEqDBDNuBunKmURbRyo8LVQpOiRJeiGxxCNYb+bBeFjFo2+rImct71QQlCPeRWfQd0CLuX3aNFAPGLDP/zp6dx7mW34pl9EwCA+zcPAQAOXuAWbJqTzwQE3m1P7Kn7nnqVUTqEhHQ/nAUSMkvRqxhmm5xYzyZ8h7ALnJteI20RbfkOYXM/YWFB2KybkbSMfxKqcwijjzPHkdMmYJVDqNpgjCuHUNvvGV8Q8rzoVlRLkLhFhmf2uXmBf/KEnmkAxy2fi0MWuqHC+UzwfLn4qvuxXXMUo6BDSEhvQUFISI8hpcTXbn6y7g9yPUra5KDZao2zCTqEzZO6IPTER7MOYbjPX7MCq9UwSf19lcPmh4zGCKzXf+tuHPWJ37b0vkkpWg7yWRN9Xl7jZNH9HnVBKIRAxhB1BcCazQdwzr/fgqd2j7VvwKSKkuVgn5f7WbKj25kM9rnHnPoOLVsGfhPU968zVapdddRm2wlCegoKQkJ6jE37JvC1m5/CB37wQEvb0fuG9YVWgEk1BnMImyb1kNEWcwjDQrKRHELdFWzVqTv732/Bh70qrLbWh9AdU/S2H9420tJ7NkKxbAcdQk8EhBeQMmZ9Qfit25/GrtECbtlQP9yQpMfecTdc9JCF/QCijyt1HKvvsOzIQCXZqN+Heoc+HUJCegsKQkJ6DDUVU+FbzaJPgpsNvZtNZCgIG0bprsk6bkKjqAIs4X6CSQkLwkaEnT7RbWXSazsS+8aLuMGrwmpV5RB2PgSzaDnoy5h+ER6/qExov2cNo+54lajcsHO0DSMlcewbcwXhwQuUIKz+nnxB6D1m2U4gjSBchCluO1HbBJhDSEgvwFkgIT2GqvxmtRiupjuEScuRz2aUiEjb7ZrJqGM17X2mXI5m+xCq7/KgeW7RjEYKotzy+G7/diuFVMITajWBHvDC94odzlV1HImS7SCfNaqKymQzEQ5hnX0x4S0K7PIqXpLpQR1H8/JZALUFoTqvwiGjuQhBqJrdx0GHkJDegoKQkB7FbrGqnz4x4I93fQyvSXM3ODe9gppUpp1D6DembzFk9EXHLQ1sLwl/d81a/3YrizLh91Tn4IL+HID6EQBP7BprayEXJSRch9AVqRNeDmG4TU3GNOrui0nvGNjjOVZkelDHyIBXrCiq9YS6pqnvsOw4gaiRKIewWGeRx2YbEkJ6CgpCQnoM9aPdqojTHYg0qyXOdLqhHUCvkGmTq2q12Jh+dKoMAFg8xxVfdpMOeSsOof5a25H+Z1ow4Do5Y4Vyzde/4mt34KbHdtd8TisULfc768toDmFJVRkNCvGsIeqeF8pd3DtKQTidKAGoCseUIpxn9Vtg6Q5hIGS0OoewnoNt2RIsXk1I70BBSEiPES4A0Cx6Xler4aezARVWGzWhItEol6FdbSeaDRlV/dZOWTkfQPMLIq0UldErlBbKtv+ZFg66InV0qn7e5dBkbdHYCiokMK/1IRwvqKIyEQ5hHbdSicmxouWLzXYwUbTw4/u3RFbTnI0okTeQywCIXtBS4k49VradYFGZiCqj9XKpbUf6Czb8KgjpfigICekxlJvRarjYyFRlMtkNjbm7HUubLJFk+CGjKTqENz22Gzu8livNhox+8U2n4szDF2LVkkEAzTuErRwLukNYKNuwHddRmd+fzCFs9f3roTuEKmRw/0QJc/oyGMwFHaOMKVCucw1R4abutts37n//7eP46M/W466N+9r2Hr2EOkYGa/S3VN+1rUWfZOoUlSnUEfW2I5tuC0MImX4ynR4AIaQx1ESyVRE3MlXGc1ctRNFyKAgToCZSFITJ8YvKpOQQOo7Ee/93TdX2G+XFxy3Di49bho17xgE0fy615BBqx1HBcrxJuIHBnAlDAGOF+g5hOyve+jmEWQMZQ8AQbquBwxcPQIhwyGgCh7BoYSBnYrJko1h2gHx7xj006fbcG26je9pLKKHe7zmEUREO6j71XCvsEEaEjCYpKpMxBcCvgZCegA4hIT1GWiGjI1MW5vdnYYj6PcRIJZyKIaPJUQ7eZEqCMOzkNduHUKEcjGar7LZy3ty7ab9/e6pkw7IdmIaAEAJz89lIh/Cbt20M/F1vUt4KSmzmMyaEEFjkhbIqV1WnXpVRy3ZQtBwsHHC3EVXYJC1Uewuepy5lK5RDGOkQVtpNAO5xXa/tRP2iMhWXkY3pCel+KAgJaTPfu+sZbPZyltJATYpbdfVGp8qY359DxhBsO5EA5eiUWFQmMUokpOVk6cf8QM6symVrFNNzuprVJ60Ulfnn6x/2b6scQjWBzmeNyLDKL//hicDf9cL2WkF3CIGKwHru4QurnpsxjZohoxPegoASlfXERCsoN6udorOXUPnhfg5hVFGZckRRGW2xJSqHcLLOd2g5TsvnJyFk+uDZSkgbKZRtfPbXj+Et/3Mvrn9gG65bvaXlbablEI5OlTGvPwPTqN9DjDBktBnUZDQth1BfuJibbz3jQUWcNltUJq1iTCqHUE3CM4aR6PzeO1bEK756Bz5+w8OpF1G5/Yk9ACoCa9QLYX3+UUuqnpsxRM2QUVXAShXMaatDmKFDqKMWsCo5hNXHicrx9UNGQ2Kuz6wOGa0XkqtXKuV6IyHdDwUhIW1EibfhqTI+8tOH8PEb1re8zTTEm5QSEyULgzlXEDKHsD5qIjU8WUrV8Z3JqH2WVlEZ/ThVjbZbQYWMNt12IqXzplB2cwhNT6FGnZNhwZfPGrj+gW14YvcYrlu9NdV2KOu2DOGbtz3tvw8AnH+s27Px2OVzqp6fMQTueXo/do5MRW5PtZxY5LXUKLYx1FUJwnZWMu0llFDvr1FURoUnW/6iVyhkNMIh3Ddeu32I5cimiz4RQqafrhCEQghTCLFOCPFr7+8jhBB/FkJsFEL8WAiR8+7v8/7e6D2+qpPjJqQeaqKpT+ZaXclPI7yzbEs40p0kmIZoekI8m1Cuxs2P78GLvnJ7ZwfTI6jwtPSKylRup+EQVkJGp78PoU6h7OYQKkfFNKrzenVR/XcvOgpL5vQFHk8zT0sXl8ohvPKdZ2Ltp19WVVAGqLQXecM374ncnqowqhzCdlYZ7aNDGMCvMtrnni/hfS+lxLgn2K2YojK5iNDPAxOlmu9r2Q6yqu1Ek2MnhEwfXSEIAfxfAI9rf38RwFellEcDGAJwiXf/JQCGvPu/6j2PkK5FhaLpc7u9Y601Zk7DlVCTy76MW0GQDmF9Wm3zMdu46bHdGPMmmnrPy1bQFy7m9afoEHY4ZHTKyyE0NUFoOw6+c+cmPLV7DECwL2HWNJDPBsP40mwl2q9tWzmE+azp5wCGURpx12gh8nHVg3CRKirTRrGWZVGZAGW/D2G0Q1i0HP85vkMYcveMiPYRdQUhHUJCeoqOC0IhxCEALgTwHe9vAeACANd7T7kawOu92xd5f8N7/CUiarmSkC7B8gVhZcI5mqC/WC3sFGZ+dzy5F4A7yWMOYTLSDMmb6ewYngq0h1AORKvowm1OXwoOYcuCMD2H0HakXzU1YwiULInP/+ZxvOFbruum9w3NGsIXaoo0C0Ppwjuq5UCjVDuE7QvnVN/lWErHXK+jBGClMX3w90Nvb6I7hNk6LV1UL9A4VBsVoPWoGEJI++m4IATwNQD/DEBdpRYDGJZSqqvUNgArvdsrAWwFAO/xEe/5AYQQ7xNCrBFCrNm7d287x05ITdTkRP89bDVcKg3x9n+uWwfAdQKYQ5iMcCGMZguRzAbC4iRJT71GtzuQa12oGA22nbj+gW2Bv+00Q0ZDDqESTeNFCyXLwW/W7/Sfn80YyIeEWpph3+p6cNLB87B8Xl+dZ9dHOcTKYWyne6cEjy6gZzOW7R5XKpQ2LAj1xZo7n9qHO57cC0citqn8Fe84Ax9/1fHYN17CSExhGSllYIGDENL9dFQQCiFeA2CPlPKBNLcrpbxSSnmWlPKspUuXprlpQhoiykFo1WlK0wnIZ02voiHDq2ohpayaSDHvMp7wZLJZQbhntIBjP/k7PLR1GEDwfAqHTDZDozmEP7jvWQCVio3pVRl1vBxC9yc5Y4hA3uXltz+Nr9/ylP93VMioTPEUVvvj4686ITJnsFFGPXG2eBpyCNX1NU6szCbWbxvBZMlG1hSxobThfpfv+t5qAPE9Pg9bNOj3oty8P7q4ljpPVR4ir5SEdD+ddgjPA/A6IcRmAD+CGyr6XwAWCCFUPNAhALZ7t7cDOBQAvMfnA9gPQrqM8aKF4clSpIPQ6up4mk3k+3MGsqZgOGQdbEdWlU6nqxpP2MUebdKtWb35AEq2gyvv2AQg6MpGNctulEarjA54Ikw9P+2QUd0hVD0GhQD2TwTzjnNmdchoOxzCOlGDiVEtCpbNywNob8ioEunDs9wh3LR3HK/977vwvbufQdYwKu04QufmeMxizXLvuwozN5/xCzrFtZNRx08mxmUkhHQfHRWEUsqPSykPkVKuAvBWALdKKd8O4DYAb/Ke9m4Av/Ru3+j9De/xWyWD00kX8oIv3ornfPamyElaq4IwTSGSM93m3iyYUpuoif/9mw90YCS9Qbhf4HjJairEVrWWUHm3dkAQphAy6rlfScemRFgh1Mi7VVRRmazWh7CgtWYIVxTNmgb6wkVlUvwpVNsyU0rRH54qYyBnYp4nJNKqOhuF3h5mNqML4rGi5VcKDUc6jMYIwjMPXxh5//yBbKWSa8zvhnoP5UpylkZI99NphzCOjwL4sBBiI9wcwe96938XwGLv/g8D+FiHxkdITYYm1QS2+gezZLc2GdInxa3msZUdB1nT8BsSk2iiJj7v/O7qDoykN9AF9KLBHKQExpuoNKp6pymHMVjsJEWHMOF6yIBXyOYFx7jN2SdSqp46WihjsmgHHUKvErCUwH/e9GTg+VmzOocw1aIy3vcXl0cWpt5bD02WsHAghzmeIEwrpzQKizmEAFBVFEYtNoQXJFUO4aWvO8m/77jlc3Hk0up+kwAwty/jL8YUtVYo37lzE77qHae+Q8gcQkJ6hq4RhFLK26WUr6SETkgAACAASURBVPFub5JSPk9KebSU8s1SyqJ3f8H7+2jv8U2dHTUhtYlylkpWaxM3fZtxK7RJKVmOFzLqbmfH8BQbOkeg+umlUdlyNqAvVCiXr9CEK6QmlsrF0Lebhnml9E7ScEvHkZiXz+Db7zoLKxf046bHdrc+CAA/vG8LVm8+UMkhNEXAIQyTzRjVVUbbkEOYVBDWY2SyjPn9WfRlTOSzRtsqgD6yfQQ/9Qr/tNOF7AV0MfYvrzkRpiEgRFSVUVc4n7xyvn/fmaui3UEAEEJo4aeVbX3+N4/jv7w8V+XSZtKKOSaEtB2erYS0kajCBq2KON0hLNaYNNZC9Rl7wTFL3KIytlsV7tzLbsU//ujBlsY3E1ETnBXzo/NqSBBdYKljrZl8O18QRjiEaZjaQggYIrnTPlawcPSyOchnTRy1bA6G6vRiS4IeDhqoMlqOFzRuDmH3OIT1GJosYeGguzAwN59tOqe0Hm++4l7/dsFy2O7A4+3nHOYKOdOo+v1ROYTL5laOw6hG9DrKnY/7/VHHT6UwDb8HQrodCkJCUuZZrfLaX115X9XjaeYQFpsMP125sB8XnrICA7kMshmBku34K8dpuR4zCbVvVizoD9zP1hPR6Ll1KuyzmXw7JSLVJDYQLp3SZN80RCKHcLxo4d5N+7HQa66ezxh4aNuIXwG1UfqzJt53/pF+5U2g4upkDIGpGoLQrTIaKiqT4rGo9oeR0IaVdSb8w1NlLOh3P+e8fKatIaMK25GzuliWfjwogZczjeoqo0UL+azhF4oBosOx//a8I3DhKSvc7XiPf/euZwAAD4bOAXW9zNQRloSQ7oFnKyEp87Gfra/5eCuC8NcP78Clv3rU/7tZh1CvaJg13KIyavKdUh2JGYWa4Jy4Yl7g/tleyTCOqH6B5SZiGlUOrprc6ptIS/8YQiQS9s/un4DtSLzwOLeVkZoUX/TNu5t6X3UO6hNxVZXREKKmoxqVQ5imGeak7BAOT5axYEBzCAvtOW/COWu1RPVMxw6EV3vOs1ndc3asUMacvmzAcc5FCMJ/ee2J+ObbzwBQKej02M5RfOjatXh96BzwHULv+KFRS0j3Q0FISMpE/ZgCFaEVzuFohA9duy6w6t1sPy/LcfzJZ9Y04Mj2NovuddQ+P+ngoCCMK9k+29HFjB8y2oxD6L1GTTB1Jy+tcEDTqJ4kR6GOgUMXDrjv3+L7qnNQF12mlkNYi6g+hGm2nfD7yKUgCB1HYniypAnC9jmE2ZAjVSvsdqYTdTxkDIFtQ1OBc2ffeAmLB3MBV7BeyKj+G/frh3dWPa5af7CoDCG9AwUhISlz7PLo6mwL+t0JUZrCq9kCMLZdcQjVj7ZaTRfgj3gYJeLzWROffPUJ/v1pVZmcaeiOmwoZbWYhxBeCof+B9FwHUyQLGQ2X0m8lXNhxJBzpOoEF7XqQ8XMIo3+aj1s+FwCQy1T3IWxH2wkjBUE4XrLgSPihtjnT8AVD2oSbqdMhDLJvvIRbN+zBD+97VruviCVzc76LCMQvairqVfhlY3pCeg8KQkJSxvSaAL/6lIMC96sJUatFZXSadwilLwTVJMqvykc9WIWfE2MIrFxYySOcaFO1xF5Hn4wqAdVMURn1GvW/Lnr+6rmHtjJEH8NIFjKqKs2q86UVAaYEaMYQgWNIzcnjnDmVq5c1DczzFpj8x9pRVCaF+HFVWEuN1zREav0bw4SrWs5mQVhrH9+7ab9/e994MbLPZS3qOcfqvbMphRwTQtoPBSEhKVOyHORMwxeAivleyFSzIi7uvZrB0nMIvR//2V6mvRZ6Xy290MYE91kkQSfPE3URCyFFy65ZqTPscqiJ5rXvPRuHLhpIY6iJi8oUlUPouSOt5DD6gssUftl/oBKWGpe7p94zYxhYtXgwtM3mxxM7vhT6EKooBhXimonIY0uLsENYq3XHTKfWgoVu0O4fL/mCUH3f9RxCUWehoMohpEVISNdDQUhIypRtB7mMgb970VGB++f0ZTC3L4PtQ1ORk+NGOGqpOxls2iG0Ha3nmScI/ZBREsbSJsj66vgkHcJIotpDRDmEl3x/DU7/3E2x2wm/Rk1y03CuFIYQicSUcghz/iS3BYdQy9E7+4jFlfeIqKaqoz5/1hRYtWQw8rE0SLPthOq7mjMr4bDtEoThqpazeZGrliOvjhUpJSZLNga9sG71ddcThDorQ5WXgcriD3MICekdKAgJSZmy7TZ7P2ThAA6aV+lb1581cd7RS/Cztduarkzob8v7AW+2aILtSF/YqInaJPPhYrG0Rsv6JHmcgjASfTKqwhyjQtju2riv5nbCoZxp98cDXFFmJ8hpU+5dLgWHsLLAYOBLbzoVH3jhUd797jiizsWf/d25vtNiGALz+7P4+ttOx6WvOwlAe9pOpLGfw7mXGaN2BdVWCIviwiwOGVXnznXvPaf6MRnMyVVCWkU/1MsR1IlKgVDfb9ZoffGEEDI9UBASkjIly/EnP/qEaiBn4iCvsfmjO0Zbeg9VubGVHELT73nmjnU2T57qEVc1b3IWOxC1UJPR4w+aiwtPORhA7bYTcY55WDikKVQUu0YL+MmabXUnrWFh04oA0x3CfNbEqYfMB1BxtKIWGrKmqBR78SburzvtYN+haUfbiaR9CGuhzh39mtguh1CN90jPPU0zX7vXUOeO3tZE4UjgvMtuxad+8QiAynVNfd1JBOGaT70Ubz7zkMi0BX8BjQ4hIT0DBSEhKVPyQkaB4MS1P2dWlYpvFrWdZnMIdYdQ/WirfBv2IaxGn8DrTbhZZTQatb++8ubTMKfPnZDWKnIRV/wj7Nyl3R9PZ994fC4jUBEXKk+tFUmjRJL6HKqVxfbhKQDAntFi1WsyhlFxCLWPr+qopNl2olEn9hNa5d2wuFcho0GHsD1CTeVV/sdbTgPQWoufXkedO1GiXkqJ7cNT+NH9WwFUnDzlgs/LZ6teE2bJnD7M788GfoPUW/kLaEbr5wohZHqgICQkZcq24+cZ6flmOdOoKhXfLK04hFJKr6iM4Y8LqLhdbDtRjZ5DqM9li7O4aEUtdEGhFhxq5c3GCULdIbQd6W83DecqTD03SU181WLPv73+ZADw++s1gr7AAABHejnBuz0huHu0UPWajClw7lFuvuFcbcKu9kWaOYRWg4Lw5JXz8dFXHg8AgT6p7t9qv6kcwvY5hJbj4NRD5lcqOs/i3qrqcI5y6cK7Xz1HfS/hCrZx5DKGf+5mTQEpvd8X3yHkFJOQXoFnKyEpU7KiHcJcxkBfpuIQthKiOaByCJvoQ1ipVKgcwmBRGVJNZQJvBFa7Z6IDkUa+jx7aqRy1cg0RUChF70ddOJQsp1JUpg0OoSoQ9MP7nsUnf76+6nFf2Hjny6GLBnDxeatgN9FCQU2YVZ+/wb4M3nf+kbj2PWcDAA5ZWF1BNWMIfPaik3HbR16ERYOVCsZKEKaZp9XMflbXvJLlYGiihBd/5XY8sWtsWnMIVeSDGstMPD+TYtVwCMOCPCzc5jcgCBV577fNcmSlyijbThDSM1AQEpIyZVtG5hAaQgRyM1oRhPkWHMJwuFolZNRzCPkbXoWaWJqGCEy8Z9qE8xfrtuOIj/8W24YmW9qO7hAqJzqqcEuuzmKELhyKlu27Hm0RhJ5D/qlfPIJr/ryl6vGwsAHchZnJst2wGHt677j/esUnXn0Czj16CQDg6r99Hq577zl485mH+I9nTbe/6RGh6qJqwp9u2wn3/0aquSpxULRt3PHUXjyzbwLfuPUprYenuiYaTYnoJJS96snqOyq16X10pJT47fqdXedGhl1onfD5Fu4XOD+h660Lwr5sJbc2nDfKmjKEdD8UhISkTMmrMgoARy2bU3lABMVWK/0IfUHYRMhipWKmF8LlDarZiqWzAX1ypS+ud9sksFV+ssbNKdq8LyVBKCptOsKhhEBlQhmfQ6iLb+k7j2mGjL77+YcDqF8gSI1fF4T9WRO2IyM/Wy1WP3MAQgAvPWF55ONL5/bh+UctDjg3cQU6VA5hmiGjfvGaBmYIfWYlDy1nVhy6kl+dtbIA1S6H0LIlMqaovP80nJ+rnzmAv79mLS773Ya2v1cj1MoDnQgVLQo7hHNy1YVooshpr1O/SWXbCfRtJYT0BhSEhKSMGzLq/jh+6Y2n4szDFwKonsS2IiYuOH4ZMoZAyW5cxIWbBqsJgxKo/AmvJphTpYUxToMDMZ0oUdSfa634kT4ZVQIqqqiMLwhDYqxQtvHs/onAayzHaUtRmTec4bpwU+XaBYLU+ao3P+/3Js6NhluXLAcD2fpFpvT3ivvM6rqSZs89vc1KUrKe4NOrLJcsxxdl01FltOxIZDwnFZieKqMF7/PdXaeFynRTUxCGimGp4+zDLzsWCweyfihzPfSIF3Us6wskftsJlpUhpOuhICQkZdyiMpXcoBcftxRAsDIg0Fz+38kr5+Evjl6C849dilzG8CuDNkI4lEhNGCoho5SEYdQ+y5oGjlpacX1nWsioEhW6EPnpmq1Y9bHfYP94deXLOCKLytQIGQ2HT3/kpw/hhV++PTBxtWwZcB7TQoVt1nMIS16xKP38UMWdGhVjZdtBNkFpf12QZWPEmTp/L/7+/Q2NoRYVJzb5a3JmpfKxchhLtlMVPtjOKqO24yCr561Og0M4VigD6L6epOo7jAoZnSwGj1d1nP3DS47Bun95eeL3CISMerctR/rh4XQICekdKAgJSRm9qAxQyZ8QofqdzYg5y5a+e5NpcqU9nEMYdghJNbpDeMzyuXjwX16GVYsHZpwgnPRcMv24una1m0/35O7xxNsJFJUJlbTXiQsZvfMp120ZK1Qm2XooWiOhjPVILAgtJyCUAaA/11xBppKWZ1wL/f1iQ0bbMOd2HAlDNLY4pBdyUdeSklUJGdUdQkdWWoikiQoZNQ0BIaZnwWZ40hWEg33ptBRKi8q5Uv0dhsVrs8JNd7jV4ohlVxxCPxSVBiEhXQ8FISEpM1W2Az+Uat4jRPB3sZlwJkfKgLPXjCAMO4Qq5Gz99hF3nA1vceZj+4Ux3L2zYCCHXMaYcTmEyunSj6tBLyxyz1h1K4Q4kradiAsZzfqtUCoTV9uR/jmTS+CuJWVAhX2GxhAuFDNRtDAn1OS7Pxv92nrorWlqoU/U4wRkO1pw2FI2HJarxGvRcnzHVw8ZDbfiSbNvokIVlRHCzSMsNikIdwxPYd2WoUTPHZlyBWF/wry76SKcK64TXvwLL3QkRfUYBSrnpOVUFm7CxWoIId0LBSEhKVMo24HqgSp8SgiBg+bl/fubKgjjyICz18ykSk0U/Cqj3v+P7hhteFuzBd8hDE3QZ5pDqISN7uap3pnbhqYSb0cP7cxqBUbC9MU4hGqCOh5wCKUvwPvM9NwYNYZwCHd4sWWsYAUmwEAl17Je/mGYKLcxClOzQuNK+LdFEDqNC0K97YTKq3OkVp3V70NYqUaZNpYjfRGdMw2Urebe4/wv3YY3fOueRM9VgrDboiMbaR3SSK6ozqB2Pqjv03UIVcioyiEkhHQ7FISEpMxkyfbDZ4DKj6EA8MqTD8KHXnw0gOYcQn2iZghRFXb11ZuexCOe01drG0DFfQhPGBYMNt5oeyYzNFHCN2/bCCA4Kc+axowrKqOcA32yrsI2GxG/tiaglfCJclOViAjnEKpjUw8ZtRzHP2eUuEiDrBkd0hr+e6xoBRrCA5UwuXrhpjqW7eDGh3YkatqtOyxxz2+HIJwoWoFrWBL0yqJFrVl5VB9CAG2pNGrZ0hc32UzzCzaNjE0du41Wmm03wUJYtWk2ZFRfIFHv5+YQssooIb0GBSEhKSKlxFQ5JAh9h9B1CV958kEAmmvzoAvCcINnx5H4r1uewmu+cVfNbVRyCN3TPzyhjCteMVt5/w8fwJCXJ6RPrtyQ0ZnVqqMyqatMpFW+USOOju4QCuE2Co8K31MiYapk41O/WI+fr9vm3u8dg/smKoVsyrasCj9MgzjBGl6wGS+UMTcUMuqHyTUgBq66ezMAYOOe+jmZSgTWmtO343TdPjyFgxf0N/QaUwsFLWqVRUuh0EX/eW0QUJZTcV5z0+Tgq/fotmiBWlVGwyTJZ41CdwhVSLitNab3q4x2l1YmhETAmR8hKVK0HEgJ5CNCRpXwqoSoNecQ+rl/RsUhLFp2YAK7YddobH6b33Yi1JheUW5TBcBeZfUzB/zbulh2J5wzc6ajCxx1nDbimlghh6AvY0SGSKsjb6ps44f3bcE//fihwOv2jVUE4WM7RrBjpABDxLtlzaDyzcICMDzBHy9Wh4yqaqeN7JtGcjGzMS6+Tjscwi0HJrGyWUFoS981Mw0By3aQMYRfoKZW1dlWsezKglk2I1rO8Q3nkUZR8sJSu1UQJgkHjQtHrodeSEddC8u2U8lfpENISM9AQUhIiqgcrAHNIXz+kUsAAM87YhGAYK5No0TlEP7pyb047lO/DwiXV37tTnz2149GbyO0Yh+eULZj5X6mYARCRkXXTQLTQhc4anLfiEPohwl6k9G+TLXgAiqLJdU5hO7rRrWQ0U//8lFct3pLqgVlKu8n8OCWYewd0x3JsEMYIQiVCGpg3yTt8QbEn6NRY2gE25GBgj06D20dxqa9Ezh2+dyGtqnGqDuEf37mAEamyoHP3Mw+S0rZrvRAzEaI/EZJsminhG23LQ4VLRumIRJVoW3aIdQK6bzgWPd3rmQ72DVagBCV75p9CAnpfigICUkRNbHVG3v/xTFL8Oilr8A5Ry4GAPR5TeubcQgdXRAKt8roHU/uBVDdGHnts8OR2wjnd4RXh8ttaho905iJVUYV+mTddwgbmPCWbcedjBrKITQj95V6n+ocwspPU1iEpRkuqjCEwL2b9uPd31vt3xcuSDJaqK4y2oy4acSNqYSM1nIIE2/O56M/exgn/ssfIh2wJ3ePAQBef/rKhrap9oXjVIr/2I7ENX/eEugb2c4cQj2Coi9jttxKJ8nr1cJBVBXdTjI0WcaC/myi1iHNLCoAlZYtFz3nYJx7lCsIL/vdBly3egvDRAnpMSgICUkRVVwiHyrIoOda9MUU0kiC5Uh/cqXaTqjf8vD24iKFKsUGKn3BdNqxct+r1AoZS8OB6Fb0cL6KQ5j8s1q2DFTRzGWMyMm10phVbSe0Y3LBQLCQSzscwjEvT/KZfRP+ffp3W7IcjBctLBzIBV5n+uIm+b4xG0j6a1fI6PUPuLmae8eLVY8NTZYAAMvn9TW0Tb2dRPgaYgYcwvZVGS070hfR+azR1DVWJ1x5NgoVMjrdBaaklPjwjx/Ef938VOTjI5PlqnMnzGmHLgDQWFEkHSEEHvyXl+Erbz7N//71SBUGjBLSO1AQEpIiagIyUKMnlXIZfvfIzoa37xaVqQg5VxBGN5aPmyhW9SEMTTa7baW7k4wV49sJTFfRik7Qag5hSQvdA9x9FVWAR+XAjhejQ0YBVImwdjiEioMXVNrC6N/t8FTJG0twgq3OIacBO8RsQMDFLdroNNI8XrF40N2nz+ydqHpsaLKMjCGqnNl6GJpbGj5W9PG3t8popahMf9ZsXRAmaA1UCRmd3mvBjpECbli3HV+9+cnIx4cmS1gQOnfCvOaUFQCApXMaE/86CwZyyJpGTeebbiEh3Q8FISEpolZaa5VsV5Pd+zcP4a6n9sU+Lwpb67NlCAFHSn9CGJ78xE0UK1VGo0NG2zFR61VGvOqiUZiGwEytv6MWDfTwv0ZDRnVR15eNcQi99xkrBPezHnI9HQ6hQj9n9BBXdRyEJ9i+Q9jAvmlEzyZxCJM6bYWyjS/+fgNGC2UctngAAPDzdduxcc9Y4HnDnpBoVGgqoWs7sqodTtAhVM9L9+RxHAlHVrafz5ooNNHrVaebQ0br5XoPTZarFjDCvOcFR2DNp17qHw+tEFVApg31jgghbYKCkJAUqeQQJju1whPheuiOYDhkNDx5iSvwVuUQCgrCOGqFUmVmWFEZfUKrjoFSxH3JthUKGTWj8y2Vs6YXjwGCx+ThoclqWwWhdlv/7KrtSFzIaGMFdxrJN6yfQ5j0GLz6ns24/Pan8YN7n/Xdvx/dvxUv/c87cNNju/3nDU3UFxJR6PvCDllC+vjVe6uG7mnx6V8+AqCy4NafNauKFTVKkpDRsl9ldHqvm1Fhyuu2DPk9U0cmS5jfX9shFEJgSQvuoE6tUGj+ohDS/VAQEpIiU75DmCzcqi/b2CloOY7vMJheH0IjxiGMm0QqN0OvVqozm3MIP/azh/Gmy+/x/56IqcQIVAT5TEHvX6kmm/ox1YijU7KdQLn7eg7haEgc6JPdo5bOCT3Wvn2unzO666fy6sJupZ43l5RGCp1kfIcw/jlJj8GnvL6HfRmjaqHjij89jd+ud0PYJ0pWIOc5KaYWPludQ1i5fegiV+A/u38Sn7nxUTy+c7Th94rimj9vAVD5TvqyRlVuaj0mihYe3THi/53IIfSO1ZLtJGpTkRb6Plbv+4Zv3YMv/+EJAMkcwjSJDhmlRUhIr0BBSEiKTJVdAaGHvNUiSY6KwrIdOLJSpdQ0RCB3aaKUUBCG+lNFCcLpnNh0Ez+6fyvWPDvk/z1ZrOEQGsaMclM37KqEDioxpIfcJf2sUyUbN6zdHnBn4hxCXxCGnHJ9snv0sqAg3BSR95YWurDTRelwjCA0mnAI1X64/O1n1H2uHzJawyFUAqse6qONFSxMhHJjH3h2CH9/zVoA7iJAvsGFKkAvsBMhCLXxH7KwH0K4xUe+f89mXHzV/Q2/Vy0ymkOYxOHTedMV9+LCr1cWRpJcn3WHdjoXiPRj9dEdQVE9VbIxVbarjtfL/vIUHLlksC3jqdVzcLb+nhDSS3RUEAoh8kKI1UKIh4QQjwohLvXuP0II8WchxEYhxI+FEDnv/j7v743e46s6OX5CwkyV3MlBrRxC/fFGqrup1WpVpVS1nVCTnrDLEjeHVE5PJiI/SW17JgmdVojr1Qa4K+IzySHUUZ9Ln1An/aw/WbMVAHBgouTfF9eiQ01qx7SQUSllYJJ9RJsmsFHojpJ+DsSFjGaayCEsWjaWzMnhVV5Bj1qoRZtMDYtwfn8W//jSYwCgKndPR533W4cmA+I/TKHs1L1+RaEWoJyokFHtGpPPmpiTy2DfuHt8NNvyII6MlkPYqEMYdisbCRkFpjdsVD/m3v+DBwKP7R4tAKjOeX3r8w7DTR9+IY5bPhffeNvpqY6nEt5cuY85hIT0Dp12CIsALpBSngbgOQBeKYQ4B8AXAXxVSnk0gCEAl3jPvwTAkHf/V73nEdI1RPUhjOKW//dCAMBkAzkuYUFoGIDjVFyc4VABlPoOYbX7oMbdyAR3JlNLsJumaKjdQDcTFhLqGGnGIYw67NyecNX7Mkpklu2gwzQYqth75TvPTDSOZtBFbDhkNGcaft81hR4mmZSi5fgufz1UqOqxy+fUfF6S0FV1/bhh7faa23IdwsYFYSCHMHT9CIu+XMbwoylqOUtJKNsOPnPjo/7fGb3KqJU8jDNKTCe5DuqLF9PZhkY/R05YMS/w2C5PEIYXMAD3u/jDP52P1552cKrjUcdgJiKXkL8mhHQ/iQShEMIQQpwuhLhQCHGBEGJZGm8uXca9P7PePwngAgDXe/dfDeD13u2LvL/hPf4S0UzNbULaxJTnKNVbYZ/rtZ6YquFAhVH5XGqy5oYsOv5EO1ygJi7HX00konII1bhnitBpFT2H8P0vPDLwWMYQM0Y4h4tvqAIzuogrlG3sHavuWxcmyvGJcwijJuFFy/adlo+8/NiAYPjMa0/Ey086qO4YmmUqJmdS9XQL/9zoYZJJKVpO4sI4Z61ahDl9GfzTy46t+bwkvf2S5i5OtSgIrQiHMBzymssYfquRVh3CO5/ai+/fs9n/W0A5hAZsRyZ27ZT41klSsKesHSdJKo3+6qEdWPWx3wQWH5pBP+ZWzM8HHlMO4fz+6cshVN+jOrbPOXIRMwgJ6SFq/ioJIY4SQlwJYCOAywC8DcDfA7hZCHGfEOJiIURLLqMQwhRCPAhgD4CbADwNYFhKqWZi2wCs9G6vBLAVALzHRwAsjtjm+4QQa4QQa/bu3dvK8AhpiKmyDdMQgQqLUag+hU2FjGaVQyhgy4qLkziH0I7PIVQTwZkaCtkoKpRx/Wdejo+/6oTAY6aXQzgT8mPCxXOiHMI7n9qH5/7bzXU/b1Rxib7YxvRRgtCB7UhccPwyfOiCYwLiyWxTD8JvvO30KvevHHII49wWoLHzZbJoVb1XHCsX9OORS1+Bkw6eX/N5SXr7hR1a1ZQ8TKHstCQIo4rKhHudZk0DY16Ie63+dUkIO1LqmFKfoZAwj3BPxGJHOcH32mjI6FV3PwMAeGbfeJ1nxnPFn54OhLeGhauq4Jo0lz0NVHVX9bPz/YufV3mw9y+RhMx46pUS+zyAywG8X4ZmAUKI5XAF4jtRce0aRkppA3iOEGIBgJ8DOL7ZbWnbvBLAlQBw1lln8VJEpo3Jko2BrFm3h5dpCDdsqiFB6DmEqqiMcB2WODevXmN60+9nWHlMhaNOdwn1bsN2JAplG9++YxPm9mV8Aa9TaUoe3+KjVwgXz4nKIVSUbYm94wXc9Ogu/M15R1Q9HlV+PjaHMOLQLVoOyrbj71+9EX025XwzxWtPOxhP7RnH1295ShtbMIcwXKADqIiRRgTheNFquOl7PXxhWuO8De//efnoMRSbLSrj9yGs3h9h0ZfLGH6Ie612BUnoC7mtynVWAiWpix/l2CVx/Mq24y94JHEU1a6p1UqkFiXLwWW/2xC8L/S+aiEr16YFlCjUMViyHAzmTOQT/A4SQrqHmr9KUsq31Xj4gJTya2kNREo5LIS4DcDzASwQQmQ8F/AQACrpYTuAQwFsE0JkAMwHsD+tMRDSKoWyg76Eq+sDucb6ZCm3RjmEqu1B3IQnbu4cziEUETmEs90hLFo2Ht42gv0T9d7BKAAAIABJREFUJXzpjadGhrVVQuQcmMb0rcS3g7BDqCa26pgbzJm+A122HVzy/fuxYdcYLjz1YCydW+ljNlWyI8NA+zImiraDG9ZugxDANfdtwamHLIjMvSuWbViO9ENF9eMz7QIkOrmQqtcn98OTpcjiNmo4jYSMjhctHDQvX/+JDaD2Va1Q77BDG87NBIA/ProLY0WruaIynvZwpKz6XsPiJ2safoh7vWiKeoTDb/3rm7fdpH0ao56XNIdwIGc2IAiDIfuNEvUdhxfwlCBsNT+zEdTvScl2kMsEjy1Ji5CQrqehZUovX+8CAH8N4DUAlrfy5kKIpQDKnhjsB/AyuIVibgPwJgA/AvBuAL/0XnKj9/e93uO3hp1LQjpJyXKqVqzj6MsYDbWdKHriUW87YUeUeFfEF5Vx/NeHUe7jbM8hLJYdfx8csTS6yqWayM4E8RwOXVb5qsoh1EM7y7bjuzu6M7FjeArnXnYrjls+t2r7yiH88E8e8u9b8+wQ5vdnqxqIX/AffwIAnBgqlAG0d4IbruQZdgjPiAgZFUK47V8aOAYmis31+atFktDV8LUmKo/xfV61ymZCRpVbatnVi1RRRWWUQG1V5Ic/cdghjHKmo4gscJTgOli0HCyb14ehyXKiyAr1PqLJDDs9RLVyX9ghVGJ7+hxCdW5K2d6FG0JIe0haVOYcIcTXATwLV5zdgRRCOwGsAHCbEOJhAPcDuElK+WsAHwXwYSHERrg5gt/1nv9dAIu9+z8M4GMpjIGQ1HBXR5MKwsb6ZKkJVF53CKWMdSfifpQrOYTVj6uJ6kwpltIsKo8NiBfWKtRty4HJaRtXu9AnzYsHc74zGP4fcI9xdWzpRZE273P7Az6xu7qlQdwiiWU7foGlMFHiL6qCYVqEJ88qf0xK6RWVqRaEgHueNeoQpi0Ik1UZtXHqIZVcxFqT9ubaTsAfQ622E0DQjc22+J2Gxbh6bxUumfS7Uef7GYdVcivrXQcdR6JoOZiXd8OJGwkZbdY1ixKp4fcdL05/yKh+bqrwYfUtc9mekO6nXlGZfxdCPAXg3wA8DOB0AHullFdLKYdqvTYJUsqHpZSnSylPlVKeLKX8rHf/Jinl86SUR0sp3yylLHr3F7y/j/Ye39TqGAhJg9XPHMD/+8lDKJbtxD/CcYU24iiEHEJDuM5EnCsQ34dQhVRVj3NevycIZ4Dr1QqFsl03tEtNwl/5tTt7vrCM+r4/deEJmJPP+IU44nIIlVib0HIPwyLgoudUytrHCcKJko1VMX0GoxYsWi1AUgvl+A6qsGlvkj1ZslGyHSyMyCEEVD/Q5OfxeNGKFcHNYhr18+WKloNjllXc21qCUA8DTooQAoaX1xwWaWFtHygU1OJ3Gr5W2U2GjKrz/TOvOwmXv/2MRK9V54n6PpO8l7pWNJunHf6OcxmjKodw3AsZzWamz6nTv8fwAgAhpPupN3N9D4DdcAvL/EBKuR+sF0VIFe/4zp/xs7XbMFaw/By/evRlGxOE8Q5h9DbihOJtT+wBED25VivdMyEMshVch9C9HS6Zr9AnQL1ehEcJmucdsQj5jOkvPhQiQprLluPvEz33MHzMfPUtz/Fv13LNTzioOsQUiF6waGcomnI4BvqCiyKq+mScSMoYIrI4ThSW7aBQdiLz91ohkyRk1HLQn6t2caLQncRGiItaCH9vuhvbahhwWHwqd1O9R1JBqJ7WlzHxwuOWAqi/MKaKgs31HcLkIaNJCtZEEf48/Vmz6r5bNrjX+GkNGdW+Y98hpC4kpGeod7VYAbfS6GsBPC2E+AGAfq+gCyHEQ01qNu4dT+wQ5psMGc2ZlRzCqHwdRdxk5p6n3TpMUZOFef3JQ59mMoWyXQkZjfk69QlQr+dcqomsaQjks4YWKhrlEFZCRvXqpHohkZxpBFyCWnm1x8YJQu31amLZzhzCrNbQHKicPztHpgAAB82PLgRjGMkdwklvfyZtO5EUdS7XWmBy85tN3PzhF+LGD53nVxmOIqqAThJUXnO9ojL6NbLZapuKsDP9jnMOB1D5PpMu1th+RIAmJuss2KncV7WQlkTkqfdpdtEtWhBGb2s6BaFhCD9sOLwA0OMBFITMCmpeLaSUtpTy91LKdwM4CsAvANwDYLsQ4trpGCAhvYCavO4dKybPIcwamCzZicMN1URAhQGZQsCpkUMYN+FYMqcPr3/OwZFuiypF/5pv3NWQWJ1pWI5TN2RUFzxRhR56CT/MzjDQlzW1ojLVE1w9hzDoEFaeEz4Hap0ThywciLxfz0lSeWbTkUOoHHg1uVdNvuMqg2YayCFU+7WZtg61UKHeo14xkTCOIzFVttGfNXH0sjk49ZAFsQ7hO885vOl2AaYQ2D9ewsPbRoL3hx1C7Xho1UXS9/2LjlvqH2uVthNJHUJV5Mbwr+f1+hCq71Pt/3DoZhTqcp+kx2EU4WOtP+c6hFG/I9OZQwhUXH11mjZbOIcQMv0kvlpIKYtSyp9JKd8I4GgAv2/fsAjpLfTwtkaKyqzbMoy/vPyeRM9XExu9oXytKqNxLp/tOH6IUxjlEALA2meHE41rJlK2K/s1buKsh6olqUbYzahJpusQmpgs2bj0V4/i0e0jyGUM/OtrT9TypKQ/wf/4Dev9bejHYdgRVK52FCtinDe9HYFyBtuZQ6jeQ52/ap/srRMyahoisn1GFEW/dUy6DqFyqEanogXhyFQZtiOxcLBSGCduoaOVsFzDEPjZ2m11t9mnXS9b/Ub181A/V9V1MolIAxAIERdCuEK/zmunSu7jnQwZzWdNlCwncvGm1ZYejaLOz/A1s7eXywiZHSQK/RRCLAbwGQDnwT237wLw2fYNi5DeQp+oJg3TUau367YkE15qsqF+5A2jOYewbMvYMerNqjftG8fzj1qcaGwzjbJdcQjjCiToE7NeD7FV7kjGEMhnDKzfPoL1212XZ9FgDhefdwSOXjYH7/zuapRtx6+Sqber0I83XXgA8SGjuYyBhVr1zrn5jN9DTXep3OPVbmsOoTonsqYBQ1SKdygRF9eKQYVuJ0G57s20dajFfG8hZyRGEO73mq4vmVPZ13HHbCv7OKnITDOUUb/+6cdMLtNYyKgTChHPmNHO73/88QkUyjY+eeGJfnsHdd1MFDLqpFtUJp81MDpVrmodA0x/+wf1fuqayRxCQnqHpFflHwHYA+CNcPv/7QXw43YNipBeQ5/gTBStGs+sEDd5i0Plqan3UqFqcflLcUKxZMW3xlgxv9+/3UhvtZlG2XZqtucAgJI2Mev1Nh3+ZzVFlViZ44k/Pa9KuRG6a1ayKxPSN5y+MrCNuONtfn82kE932KLo8NHjvDzDqElvWmQ1FzJjGP75U7IdCBF/HCinPgkqNzOfMIogKfUE4QFPEC7ShHrcMduKCxu7j8I5hNrnb7WiccAh1HZrwyGjoRDxrGFEiuZv3LoR377zGQDAX3/nzwAqkRVRbuTIZBkfvGYtdgy7uaiyTTmEk6Xq351mQ3+bRe3zKoeQSYSEdD1Jf5VWSCk/J6V8xvv3ebTYlJ6QmYRe7GJoMpnQ2zrUWP+6sjZpB7yJqO06hEvmVIezRTW9l1K6vRJDoUQv8qrqnXhwpRl4MxO1iaKF/ePFhl/XbZTtSi+1uKIX+kQzaVhat6LnEIbz2wZDgvArf3wCD211XW1V3h4I9jIMO4Lhv9XxusBrTK84NqKpPQB86Y2n4gXHLMEZhy1M/qEaRH0+QwjXHfK+05LlIGcasZPrjFdZMwmVHMJ0HUIVzhvrEHrn5OLBynUiHOb83FXuvm0pZDRmH1X1IdSOh1YrGuv7Xh+7ChlNXmU0GCLuHgPxY9NFjjq+o1y/r978JH6zfidufGhHYLzNFqIKv4eqMjrVxsWSpKj9z8b0hPQeSQXhH4UQbxVCGN6/twD4QzsHRkgvoU9qhidLiV6zbWiqoffwi8qo8vg5E5NlG5Ytcd7R1aGdU5EVIr2mzaEJ+hXvOBOrP/ESZE03XwxobqL2xsvvwZmfv7nh13UbZdvxnYe4yY0+0ex1h7CsfdZwfulcTxCqEOe1WojzVNn294OewxQWPOHjTU2gD1s0EBALn3/9yXjOoW5jcF1brFoyiB9ccjbmx/QCTANVACNjikCz+WINR919frSTFEWldUy6gjBjGujPmrHRCSpkdPGceIdQjzxoltiQ0ZBQ1CMqWnUI9euU0ULIqB063zOmUSXavnNnpfXxaMHyHfIzD3fFdJQbuc8T42rhQz2l6ZDR0JjyORM7Rwp4eu94U9tLE3XshBcGevvqSMjsIKkgfC+AawEUvX8/AvB+IcSYEGK0XYMjpFfQw5aGEgrCi89bBSB5ERrLljBEZbV9sC8D23FDhaKqL0aFEPmiMpTDk8+aWOZVUXzLWYcCaE4Qbtg1BiC6XUEvYWkOYbwg1IrK9LpD6BcsElVu8xzPfQo3ub7kL44AUAmR1h3peoJQ5V6Fc1QH+zJ4+UmdCT5RE21DCGQ1MVCynZptMwb7MhgvJjve1XlRa3vNkjVFrMjYP+5ek/R8zbCwUIWxzBYqucY5hOFzKBAy2uK5YzspO4R+yGhwfxbKNj7/m8f9vw9MlCClxF+ffRj6Mmbse6mek8Ne5EglZLS5zx0W8kpofuCHa5vaXpro0SuEkN4i0ZVfSjlXSmlIKbPeP8O7b66Ucl79LRAyszlaC3VLWhr/X197Ev7ppceiZDmJJi1lxwlUM1UTjdEpK3JVPyrfSr1PLRGqfsyThsFF8ez+xsJhu42S5hDGTXJPWVlp3t3rgtCvMmqKqmqa4RxCADj9sAU43svru/2Jvbjov+/yRR5Q3VZBTZgVo16o6coF/egWKmGzIpAXWPZCRuOY25fBeEy7hzCFOgVqWiGXiXcqD0wUMS+fCZz3YfGoLiGt9HqMe21VyKj2vJZDRmOqjKrWFknd+3ARqWxof77uv+8KPL9QtjEyVcb8/qx/fJQi3kttVy0Uqutqsw5hODw97RYmrbD1gBv1ogpSqa+DKYSEdD81q4wKIVZJKTfXeFwAWCmlrK4zTcgswrIdPHfVQlx4ygqcfWTyypwq92eiaGHBQK7mcy1bBiamKrerZDuRTaZVj0M990nledWq8ucLwiYmLLmMgZLleDlL0flg3Yru8lp624mY1e6XnrgcX3rTqfjn6x9uenLXLehiqEoQ5oMho4C7GKGO3X/88YOB5wHVAjDOEVsS08oBmP5JZOX7NpAzDZSsSlGZbI0FlDl9Gb9XYT3a1YcQcM/pOEG4b6JU5fyGnTm18NGWKqOhu2sJ00YJhIzq1Z6928nbToRyCEPVY5/cHQzJHJoooWxLLOjP+p8nqnerWmxR+Z3qOtOsMxrnEBJCSCvU+1X6shDiZ0KIdwkhThJCLBNCHCaEuEAI8TkAdwM4YRrGSUhXU7YdZE0Df3PeEThhRXLTXE2ix2NyfxxHYsQLNbJsJ7ACP6hVZ4xyCG1HVk2GSkkcQtG8Q6hGUexBx0zPZSrbDtS8K64PIVCpitlq2Fun2bx/AoA7oQ+7dlEO4UDOrMo1XK81I692CMMhyu7fiwZrL4JMJ8u9kOlTVs5HX9bwJ/eleg5hPhN7/oYptKntBKAEYfQ5OzJZrsq/DOfuGZoQapZ8JvpzhR1C/VhKtaiMdq6qXo9rNh9oaDt+DqFh1BzbzY/vAeAuzOWzBnIZI7Koj7rm+oLQ22SzuZNVOYQxx9LDn3l5U9tPk0pj+t5eMCNkNlBTEEop3wzg0wCOA/BNAHcC+CWA9wB4AsAFUsqb2j1IQrqdUo3efrVQk+24CeU3b9uI0z77R+wbL6Jky0A4qnIIgeqVeTXhVpXnSpbjCkTPIaw1wTUMASFam6iVIpokdzv65y2UbXzu148BqPQli8JvxdDDLTpsR+K61VsBuAWLjlwyGHi8Iggrx9hAzvTvV4xqFUdr5RB+/FXH40Rv0WRhDVd8unuYnXboAvzyg+fhQxccjf6s6bt5tdq0AO6ijl5ttRYq31JvtZEWWVPEumFqwSp8n466hLTiEMZ9rrDIDDqE6eUQ6sJzfn8Wpx+2AI/sSFbmQEVE6JUya4m2793ttp7IZdwKtIsGcjgwXp0/rhaLVE6335i+yWuGurZe/bfPw2dee2KsIJyXb18BJkLIzKPuDFZK+ZiU8pNSyhdJKY+TUp4upfxrKeUPpZTJ4mQImeGUreoJVxKUqIurDvib9TsBALtGCrBsJzApH+yLdgjffvZh+MjLjwMAXLd6K257Yg+O/dTv8J6r74+tMhrGFMl7q+moSXwvCkK9DP86rZJmrQmy+j7KMZ93x/AUfv3wjpRG2B70CblhCBiGwBffeIp/nxJ+ev7qVNn2Q0ajCDtFeghp1jRwxTvOxNffdnpXOYSAKwpNQ6A/a/pVekt2bUE4N5/FeMlK1Ldz/0QJOdOoEtNpkDWN2OPQkbLK6Q6f3xmzdYewP0YQ1mpMv2nfBD78kwebfs9gldHgY6sWD0YWuNp6YBL3bdof3I4MhYyaIlHhF+V+LxrM+XmChbKthYa6/6vFOZVT2HTIqLfdY5fPwd+cd0TNxb1Ow8b0hPQO3XslIaTLGZks49wv3IKHtw2jbDt+mfNGqDiE0VUKs36xAgeWI0Nhe7pDWLn/395wil8x9Iu/34CLr7ofAHDbE3sT5RC622tOECrCgrBQtv3y692K7vL8/tFd/u24ojKA1vw6YuL42V89hnMvuxUfunZd4pDCThD1Pf/Vcw/zxW5UDuGtG/YEcgbDhENGdUGVMQWWzcvjdacd7N+nGqsDephZ58hnTX8CX6wTMjqQMyFldJuXMAfGS1g0mGtLw/BaRWUsR1YVfAmHl+ZSqDKq8tmOXjYHqz/xEizwwlTD15twCPENa7c3/Z5xVUYB9zgsRPRjfcGXbsNbr7wvcJ9fRCrGIYxzP9V+WzSYw4GJEh7ZPoLjP/17XLt6C4BK9MBkSBA23XbCrwjsvm+2hSJA0wWLyhDS/VAQEtIk928+gB0jBXzi5+vx1J7xlkJG3/291ZGPq0ncX37rHvx83fbApE4PFQqv6p99xKLI7SXJIQRaF4TFkCC85Or7cVaX9yc8MBHdLiSJQxiuLlgo235IGQBs3jeRwgjbQ1zompqwRoWM/sdbnoO5ffEhaQMhByyqHYDOnR99Me7/5EsBALIL8o3yWRNTZQcjU2WsfuZAzaIx6txLknO7f6LUNlc0Y8S3nXAcWbWwofo9KtQ1oRWtqkRTzjSwbF4el5zntiYJv3cz18o44voQAq4zXUzYAseWMnScBq+BB83LR7riar8tGMhieLKMtVuGAAAPbXWjDCoho26RL/UdOU2qJPV6dT6adAgJISnQvVcSQrocNRF4ZLubo9JMzkYtlwWonjhltcm0Xl0uLFqWz8v7feJ0Ht3hFv5YMT9f831NQzRZVMYTSKFqe3dv3B/19K5C9QkLU6uojPp+NuwcDbiAYTG9qQOCcKpkB1pBxFEvdE0JQv0YO/+YJchnjdjwwuU1qodGtSaYl89WVTftJP05V0jc+7R73G6u0UZFiZB6IaNvueJe3LphT6A5fJpkTSM2h9ByZNV39YlXn4Df/sML/L/V9ayVcG8VMqqqslZ6G4bbTqQoCLXrlAxds/JZ0y/kUw/LCYbVhh3CouVEuoRqvw3mMpgs2X4RsHme6+2HjJbtwEJZ84IwWZRHN9H5JR5CSD0SX1GEEH8phPhPIcR/CCHe0M5BEdILhMOe3n3u4Q1vY06uniAMTqSCDqEWhhcxMT9oXrXoe3DrMJbP68Oxy2u3hGjWIfRzCGMmpknyrDrFgclohzBcIVFHTXi/dfvTeJsWgqYmqe9/4ZEAgJGYbbeTF33lNpzymT/WfV6971nluephjqqQRlweYabGZHXpnNrCrxtCRvuzBkYLFq7409N1n+u3aamzH1d71S7bkT8I1A4ZtR1ZLcoyBk48uFIROWfGN1dPSn/Wc5O991KHTFUOYZ0IhUbQrynhryCfdSuvqu/myd1j+B/tO9UFpBPaR+FrYKFsR1aQVuK2P2diomRh1FuEUZtSucmTJStwXWx2NyuR6v8WdHE8Zjecy4SQZCS6KgshvgXgAwDWA3gEwPuFEN9s58AI6Xb6NIfu9MMW4Ohljffda9gh1P7WQ0aj+hBG9TqzbJmob1WzRWUUcS5D0p5gnWC4CdGW1SaQqhkzAEjvYyrXeKKUzKVIk92jyXI261U7XDBQ7XyrSfDCiPDHg+u4z6tCVUzDKBdmsA2VOJPSnzWxb7yIB72wvyvecWbsc40EIaO68KgXrt0stfoQRgnCMJVeeq04hEFHUF1DwqGcaTqEVkAQVjuEQKX/40X/fTe+8LsN/uP6Z7UdhASh4W/bdiT2T5Rw5JI5eOTSVwTeQ+23gZybd7p681BgXMohLJQdFLTrQMsOYQu5nu3muveeE/i7izUrIcQj6VLlBQBOkN6vmhDiagCPtm1UhPQA4TL8zWAaAn9z7ircsHZb5OO2I7FgIIvDFw/ioa3DgffUHcqBrIkr3nFGwMWJKlxhOU5N90YfVzOCUE1y4iaVJdtpSw+2NFBFRHI1Qu/CxIVtKXEwkDMhRHwV2W6g3ve8OEL0qWNo095gKOz/94rj8PcvOipyO+cdvRh3b9yPQxb2Rz6u+OuzD8N40YoMeZ4u8qHzefm8eFdTaYhaBSn146ldnknWrDRSl1IGzv9wflwUaYSMqkJXSgBIv7df9VjToqZD6H2m1c8cwIuPX1ZV+KdoVa5HjpSBKqVuDqG7Lz7y04cAAKOFMub0ZXD8QXOxYdcYAC1ktC8Dy5F+7qA6r3SRrvcpbHbBzbLdcdaKXOg0xy6fA4A5hIT0EkmXmDYCOEz7+1DvPkJmLXo4jAqVaoZMjX5XUyUbJxw0D/M8J1EXU/qEb8ncPrzy5BV4xUkH+fdFTQDLdnUuURTNCkI1mYx1CLu4HYX6DhopahKVDwdUJnsZQ2Awl8FETBXZbqCeQ9hIbmzONGIraH7vb56Luz764rq5T1nTwAdffHRHFw7Cn7nWmFXeWS2HsBXXLSkqh3CqZOPMz9+Mq7SiRkkcQrXA1IqLr5w/tTCkNhV2CKMqfzaLfvyG82FVaOrF378/8rWlgEMYFTLq3v75OrcK6qNeT0MVCg5U9ls48iKq3+BerdJys4Iw3FMyvJWTV87DC45Z0tS2///27jxckrK6H/j3VPVy19mHGWYfZgaGYYdhXwXUARcUwV3RaIiGKDEmEZMYTSLRRM3iLnE3JsSfGiUuIQSRJSoCirIJMwyMMMzKDHPv3K2Xen9/VL3Vb1VX79Xd1dPfz/PMM/d29+2u27e7uk6d854Tl3BJcBIaRRFRdVU/mUXkv0TkJgCjAB4RkR+LyG0AHvEuI+pb5odcK4OmU7bln9kPOzhTwHA25c9xq3RwHrUuK6o0tBjRfj5KMwFh0VH+GfqKGcIEB4R62xr5vSsFCvqA2LIEw1k74RnC6n+TRjIR1V5b2ZSNZXOH6r6vbrr46EWB76v9Xvr5qbY+dibGAKiSjFcy+n9b9mLfRA5f+r8n/evqCQj9TFkLpeL6edL3oIPkcEB41pr5eN+LN+DVpy5v+rE0MxB/dNd44LqoQfGmGaPhTMGJ6jLq/t2WznGz2lef52at9XpL8+vwZ4AfEBZLY0u2Gc2JWukyWu0ExffecS6+9pbTm7rvuCR5NiIRRav1rv0ogI8B+EsAlwB4P4APGF8T9S3z87yVgDBtS2Aoumn/ZA5zh9L+esBKTTwWRHRofNHxh5ddli86kW3/w5rpMmrO4qsUEO4am8bb//W+QOlUUhQcB7YlZWVn1VQsGXVKQ66HMylM5JIbEOo29v/0qhMDl9eTSf6Pq4NrheopR+4FRy0exUevPMH/vtp7xs8QVgsI6+x02Qp3ML3yh6MvNtZyFp3ywfRhrz1tBV57+gr8/gVrW9oGoFQqWioZDT62ZQnecs7qQBb4YS/71qhcwfFfq2aFBFBeQhr1s/5tIzKEZnbvFScvw8tPWgYgWK6vS0YHIwLCXMHBk89O+h10nzC6DTcbELpl/8muxdR/D72VXENIlHxVP72VUrdX+6dvJyI/bf+mEiXXUI1uodWkLAtKlR9QFh2FXWMzmDec8Q+cKgWEUR1F07aFN521KnBZoajqWr8TPhiqhxnTVsoEfvJHW/DDB3fi63dva+i+2+X9330Q/3a3N0C6zufGVCnr4jfTsATD2VTCM4Tutg6Hul/e/WcX4SfXXVj1Z08/Yn7g+3SC1zU16opTlvlfV8t4+A1Uul0ymhLkiw7Gp93XmnmSqp7KgMGMjb99+XGYHdFEqO5tCGcI/aYytX/20o/f2dRj5goO5gyl8dgHL8E1zwsGs7/rZfRecsKSyJ8NNJVRwaDZnEM4nS8GmnRl0+UB4XDoM6DoKL9L7fbnpgAEA8JmK3Pdsv/o5mJJUSsbTUTJE9fp3Opt5YgOQXFlCPWBWrhD4Lu/cT8AYPZQ2j/QGq1QMho+mNcCZ7Jty8+C1WKLNFw6Zp7xrlSGmNfr9BJyxvgrP92GP/vPBwB4a3Ni6tynfz9bBEMZuytdRuvlt7EPvS7mj2SxZE71BjBhh0qGMKzVktHpOoejtyJtW3h2Ioe//t7DAIAfP7oHtz26G1+/extyRaesbLNd22AqGqXT7TJTcEsyo7q3DmVSOGLhMH6zYwxbdh8su/4792+H4yjccMfjGJvKB7bTtiyjQ2gxEHiZX+t9s1mlMXswjYKjyuaAPukFhGm78f2rli86yBivx8tPWorTVs9r6r7aRa8j1i+5hOzuiaiKuAYi8f1OfcdcQxguF2qEPqAIZ+S+c/8zANx1MLmCe92sUIbwI1ccX3WumXmQlE27bdTrOaPcVIbQiPLMnzVb7uumD+EB0klQKCq3GUJ90xqqKh0Iu3Pndo5Nt36nbTBTKOKP/sM98RDHWf3/6c42AAAgAElEQVQ4u0cmSbWAUGeVqr1dzEzU4tmNBdn1ispivvlLpWYq9ZQAtyrll4y63ztG6XSUShUPjZgpOIERQGXbZAke23UQF//D7WXXfe72rTh5xVz87Q/cURSr5g8Ffs7PEBacQIbwhGVzcNmJS7D34IyfGVw5r/SzswfTKCqFRaHKjc1eUDpnKNNwSb5WKAY7RadsC3/0/CPxamMOKhFRow7N07lEHRBbhtDLShWKDn777KQ//uB076zv89YfhpXegUo4Y3PlxuW45LjytYKaecY+7TWvqbfLaMMZQiMpaDbJMe8m7weEDd11bPJFB9+9f3tkQOqur2ztoFn53RVLzTSGsylMJjRDePuje7DVy1o0+7tfelxp3VY961N7UbXMsX6LVV1D6DWVedXG5XjX89fFum1arZLQTowpyIRKRnVjq0r7x3CJZzNyhWKgEiKs1mtSl9gCwBELR/yvbds9KZYvOig6CgMpo5FMysI/v/okfP2tZ/jPqzmvczBto1hU/lKCk1fM8U+4WOJWbjSdIYwo/23XbMtGfe0tp4XGzhyaJ4iIDkVx7UX4rqe+Y36ct9RUxmj3ft5HbsNVX/w5AGDl/CEsnjWAs9cuwNXnHYH//aPz8PwNi6rdVRnzQGHfRA4PbD+Asena69mqjcKoJJghLEWHZilszgsUW2hk2JJP3bYF1954P25+aFfZdbW699Uj7/9+pWYaw1kbBxO6htA8sGw2Q/jp152Ci9Yf5t1HLJuVOFVLRv0MYe2mMq88dbnfMThutV67HckQ6uDLey7efsFavOviI/GqU1dE3n4gbePai1oLkGcKTtWAqNrf7ujDZwVGVRy7dHbp5yzB3oMzmPRGxtSqrBARfO0tp+HWd58Py9t/6v3gp193in/C4IY3bGyqaZeWL5SXtielq+e56xbiTzetL7s8iRUhRBQUV8noG2K6H6KeYX7IDbbQVEY34tBZhJ8/uQ+AW3apD2YG0jbWHtb4pJeoA4Xd47XLFy1LGu6CV6lkNGpOWLMd9lq1eZdbsjVTKJYdpLjzvUoHjyevmNNw4KoP+sJdRie7GBCGh5SbzHVl9az/+8X7nh95cKdLpjvRPKUbqs4h1E1lqnYZdZ+XapmsVtUKCCtlCN901iocZwRCLW2D9/v5GcKMjWsvrh7wza3RxGYyV4hs2vXd+7fj2hvvx4nL59TIEJZ+b0tKJ6M2rpyLTMoKnLAaNcrv90+66/+u/4G7JtMsGa3k3HUL/cd0lPJPEJkjgDYsmeWu0W5yF1hwFNKp6AxhUjKFGgfTE/WOWnMIx0VkLOLfuIj4PaKVUg+2f1OJkiWQIWyh05s+EDdLlw5M5esu76xmxbzyuW/1ZChsaWIOYWCtYPSwaN19tFvni8eMJg/50OxHt517aZf4vhdvwHeuObuh+9fjQ8w5hEPZFCZyRRyYymPVdd/vSIdV8zmv9mc0y+nqea3NG85gfsTMS50hn0poaWyrqj03OtCqlvHJdSAgrJUlqvQ7fOClx+AVRkfVVuiTW42c75kzlKl43Sd/tBkb/vJmbHt2ouy6T/xoCwDgNzvHqu7TzPe0o4AzjpiH//e2M5GyBYWiCuwHzBNCz3pD5H/44E4A9e03Nb0GW78PzSzl4bMHINL8vMeo0UH6b59NSKaQiHpPrbETo0qpWRH/RpVSs1p9cBFZLiK3icjDIvKQiFzrXT5PRG4Rkc3e/3O9y0VEPi4iW0Tk1yJycqvbQNSsOOcQAgjMqrtv276yAKUZG5aUv00LdfQ7b6apjPl8mCWj9zy53/9654Hp8ht30Jg3/3B8uoBcMTiDLFdQZWsuG6UD4Qe3HwDgZuBGsu5rY+seNzv5ZWNgeC0HpvI4+W9uwT1e1rheZqauUGXwvNkYqZWmMjqDk9S1kq2q9tz4TWWqvF/036CdXVhrNfSpNYcwDn5TmQZO+Ry3LDo7OZ0v4qP/8xgA4Jnnyqsa5nmB5HTeqTtDCACnr56PU1fNc+c2Ok7g/ZE27kfv//SJumwdGULN9oba6+xj2rbw1d85DR+54niIiHd9s01lysfjJDZD2O0NIKK6dXvvUQDwbqXUBgBnALhGRDYAuA7ArUqpdQBu9b4HgEsArPP+XQ3gM53fZCItni6j+mzvQSNDmCs4sWQIl8wZxD+88gRcdeZK/7JwZixKU01lIjKESin87lfv9S8f90onu7WGcPe4e9Z/bDofmJW4fzKHghMsGW1m+HOh6ODB7Qfwnm+5oyxsqxQs6bWbm3cfxN6D1VuZ7j04g8/d/jhufnAn9k3k8E//+1iD22GOAKn8ZJvlcq0Mu37JCW5jozNCcwkPFZVKboHKJaNbdo/7J1/0e66d6/jSNYIBuwMNf/w5hA28v9csHMHrz1hRFuQcmCpl88NjOzZ+8Ba/tB6oHgiFg3n9OCnLndto7gfMk0DhE2cnLp9T61cJPGbRKWUf07bgvCMX4sqNywG4J4qaXkMYkSHU95S0gFDjEkKi5Ovq3kMptUMp9Qvv63EAjwBYCuAyAF/xbvYVAC/zvr4MwFeV62cA5ohI5RaLRG1kfsi1kl3RB+Jm45GZguOuFYkho3D5yctwuNGdNDzvMMqsgTR2HJhuqBlAMWLd4HOT+cjbNpJBiEuu4GCXN/7hR4/sxqSRkd01NuOtIWyshDIs7yg/Cwm4B37LvbLd/3lop3/5Sz5xV9X72fjB/8WHfvgb/Om3fg0gGODVw8x6VMv0mgfDrQQrp6ychyc//KLIjPShTq/D1Af4W3YfxKrrvo+L/+EO/MudTwAo/f3ieD/X2o5XeUFHWCeqCfXv12gAsGAki3xRBU5CmSX04czz3oO5wPdb95SXlGrhbdGBse66PGUEm2bZ7XS+9N6YM5TGyvnDdfwm3mN4Jfd67mv4hEIzJ9y0iVyxrCLlsNEsjls6G39/xfFN3We7VDuRQkTJkpjTSSKyCsBJAO4GsEgptcO7aicA3VpxKYCnjB972rssfF9Xi8i9InLvnj172rbN1N/Mj/NWzoD6JaOhgDBfrG+IfD3Mg/16SpXOXrcA25+bwlP7pup+jKiS0UrB56due7zu+43LVL7oZybv3bYfH/7hb/zrdo1NIx/KyDYzQqFQdAKlZbYlOG/dAmRTFp7YWzpo3XGgsbmEDa/nNG5frBJM5ozrOpFBOhTp96iOwX/4wA7/Ol0mXCoZbf8BcqVj8E7+fRvdHer1ebqMe6ZQxPXff9i/3jx5E+XRXeMVrwuXTOv3eNp2G8pM5aIzhGagaDUY2KRsvYYwusqjlS6je8ZncNis4DretG3hv95xjt/UJmm6cQKQiBqTiCMAERkB8C0Af6iUGjOvU26KoqG9iVLqBqXURqXUxoULk7mDpN6nP8/XHTYSaFfeKL9kdKa8ZDSuQd/mQUk9GcIFw+76nMl8/d0xo0pG83VmpzohfEb+AW+dH+B2Xs0Xg+3rmyoZdYJNKmxxswOzBtOBjEc1n7h1c9lljR485iOytZG3iylD2M/8OYTe38g8WNdzQ/Vrvdo8w3brRGdfHTc1OmZA7+du9rLo/3b3b3Hbo6WTuWbJqHnflxzrzsA8/8jKn/Phkyn6fZ0y5gyGtwMINkhqNCDUGcBKo2ysJruMFh2FfRMzWBjR2ImIqBVdDwhFJA03GPy6Uurb3sW7dCmo9/9u7/LtAMx6mGXeZUQdpw9MPvDSY2IpGR0PrSEsOiq2Qd9mM4t61hDqg5gbbt9atn6nkqiS0WoNbCY6PIohHFTNGCVh0/nyNZvNNpUxA13dgXI4U/8swo/dUr5esNHysmKdawhzMa0hPFT921tPx3svKZ+rZrJCTWXMkwrzR9wTK/r9EB4XEKdaMZhZytwu0mQbkce9ks/rvLW3j+wInBcOlIyaL+ehTAr3/sXF+NwbTql43+H9nd5XpyzL6zIa3VTmbecfYfxMvb+Jd3spBZtRJ/UmcwXc8dgeHKhQUl/JsxMzcBSwcLQ3AkL9m3MNIVHydTUgFLfA/AsAHlFK/YNx1U0ArvK+vgrAd43L3+h1Gz0DwAGjtJSoo/RnXKuHeHrdSngNYd5xYjtINw9KqnWd9G/vHRh9+5fb8enbttT1GPpATQRlzTSA4CwuAG0Z1u44Cndt3huZoQgHRmYw9P6bHsID2w8EAud6M2ajA6XZZfmiEzjA1MHCYCZVd4YwSqMdX4NrCCv/vfW2XnXmSiyeNdDcxh3Czlq7AL93/pqqtwk3lTFPNDihEyNxneBpRqX1vHEqZQgb+7lz1i4AAFy4/jAAQPg8khkQmq/noYyNBSPZqkPjK1VEpG2vqYxxvbmG8E1nr8ZSL8PbaIdW3VSmUqfox7x5qDfc2VjpvP4bzh2uPKqDiKgZ3c4Qng13qP2FInK/9+9SAB8G8HwR2QzgYu97APgBgK0AtgD4FwC/34VtJgJgHPS0GLPpA4aJiJLRuMr4zAPR1QtqN0dIG487XWdppw7CMrZVyhAaB2/htu3tCAi/fvc2vP4Ld+MHD+wsuy4cEM5EZD6zgZLR+naPc405auESNH0Xwxkb49PRB+Tbnp3wA4dKmcBG1xCaAWTVDKH3t333C49iA4gmhZvKBEd+eKXTRrfJdqv0ZzzQgQzhPC9QOeOIeQ393IuOPxyDaRuLvJMS4beeuZ7PPL8xlK3d3Tl8Ika/x1JeQBicQxh8YL0/sBrcD6fsUpfRdJWfbTTQ1PuQ8Mm1pGr2BAERdV6q9k3aRyl1FyofTl8UcXsF4Jq2bhRRnfRC+WbLpDQd9I2bAWGxiIKjYptbZmYav/7WM2re3iydqvfgo2gGhEWdGSkdCYSD23aUjO70uog+7jXzCGxfKDCaiJiZZw6frjcYnzOUxm+9DviFohMICHSwMJRNBS7Xtu45iAs/djvedfGRuPbidf5g+7BwhjBXcPD6z9+NV526HC84ZhFGB9LB2xvPe9Uuo17wWmuoOVWmM4Q/fnQPfrFtvx8UAaXXXKVuk3EyG3f82++ejtf+y92B66cL7Z8RuWjWAG599/lY4XXWbUQ2bfknkMzX75yhdKCpjFn6PZSufQgTDoT128EvGS1EryEESuW/jS4JsHSX0WL1WbKNvh5e8ZmfAuidgJCIegePAoiaZZRItkKflTabGLgZwuj1J83QGcIzjphX1/oT80x5uMV5JTqWyaQsIzNiNi1pf4ZwOOseIEYFm/U01cgYa7zqLdc905i9V9ZUxlhDGEUP3L77iWcBVF7fGc4cbt49jp8/uQ/v/n+/whXeQaKpWGeG8Je/fQ5Ae8chHOr03/jff/5bfO6OrYHAXwcvcWb7KzFf3metWYDLT3YbcB+1aBRvPWc1PviyY9v6+NqahSNNvZ50108g2BRpOJMKlIya62Pr2TeVB4SltZ55xwk1lQlut/6+0Uxeyusimq/RGKzRZjVatkcCwlZPlhJR5/AogKhJca0h1IGHGRDqOYTxNZVxH6PeD+jA+IU6D+7MAy19pt8MRsIBVjsCwhEdEEa0qa8UGA0ESlmNpjJ1Pvd/umk9/vzSowGgrEmFnyHM1FeMUanzarghzqM7S232o1rum5nGagHhLQ/vAtDaHM1+Fz6oN5sw6eClUrfJOF189CIMZWy84YxVAErv4Wzawl+8eAOWzW08a9dJaUv8EyJ6zeV//+G5GMrYeGzXOJ7ePwkg+F4YrPNkVZSUJW4TKHMNYWiwe6bJklHbaFhT7e/e7Eui1zKErBglSj4GhERNUn6GsLWDaR146HUytiX47wd34om9E7FlFRrNNJoHRvWOh9AB4WSuiOcm87hz856q63PaUTKq1/xMzJSXx0VlCIczdlm5pVbvQaBtCU5b7a6Zms4Xg11GvdfGcI21TvolVKkBRjhD8fAzY5G30+rNEFLrwsH0ZK7oH7D7GcIYG0RVsnj2AB7+603YsGQWgNKJnF4ZJ5JOGRnCosLRh8/C+sWzMJSx8eD2MZzzd7cBCK5LrvW+AoBv/N6Zge/1fiDlrXXOFSpnCDNNZgh1wxq37L/yzzb72TGQ7o1DNy5LJuodvbFXIUqwVj/09AGDzixYAuwenwlc1yqdaax3W80Do5k61x7puEOXaH3hricCB2/hdUUHI4K2VukANCrYjFpLN3c4E2gkAwALmpjxtXi22wxjx9h0qKlM9QxheGBzxeA79Hd72GjLH/U3Nddg5aqM/hjK2Hjt6SsqXk+1hYOFsak8BjM2RErBeL7odLzDaNoYr9AL0sba43zRQcbWHXqDQZ+5zHawjjWEp62eh98zRkjo3YB+fsyGNeHgWa+lbnQfn01ZyHkdh6s9/82WjLaSGe2GRudSElHndbWpDFEvKzWVaY1fMuodmJhZtbiayujjjnqPP8wDo6hmKFHCGbj5w1n/AO8vXnQ00raF2x8rDZs+2MIYhkoqZdiA6EzZ2FS+bE3l995xDh6LKMOsZuFIFhnbwtP7JzF7sJRxNLuMRvGzzN6rqNL2hw8c903k/K/Nx9MCYyeqzJ1UqvK2UX3Cx/sHpvLIpiy3JNHoMprp8JxH29uwXpkvmbLEP3lhjmsIn0wxS0ajXvuV7lvTP66DvWr7If03a7SkOpu2MePNNq2+hrChu/UNpPieJaJ49capQ6IEKpWMtnY/mVBTmetfXmr+UK1leSPCgUfNbWqmZDQUcM0fyfgBzhlHzA9kHbMpK3KdX6v040WdeY9q4OkoIBM6uFo8ewDnHbmwoce1LMGSOQPYvn8qsmR0KBt97i0cAFZqKhOWKzh+mepxS2eXXW9mQ6sFyY5SDa+PoqBwsDA27QaEtiWBOYRxndyplw5EOv24zcqkrMD8Uh3EhbNhZlOZ+SP1zeMzs7j6xNX6xaMAgK17J3DWmvn45GtPwvJQFYP+2zYcEKYszBSKNdcQ9k2GsNsbQEQ19cYnBVEClT7kWhw7YQfXEK5dOOJfF25y0Cy/AU4HSkZ1N0PbyJCkbAmcKR8dSLWlqYwOqKIO4HRm4e+vOB6Xn7TU22ZVVjLarKVzB/H0/qnIktFKWbhwsD1WYVZhOLuZKzpYNncQJyybHXlQWayzZNRRqumDUnKFS0YnZopI2xZsMTKENdaStYN+vF5ZQ5gKNZXR+6Aho4FKruBgx4Ep//t5dQ5oN9fqLfRKwk9eOTdwPy8+fknZz+n3b6PvkWzKgqPcfXq1gLzaSJgw84RbXPusduOuhah39MZehSiB9LqIltcQWsE1hId5w5mB0hiFTjMPXmfyjZWMHrFwGLMGUpjKFf3gKGVZgSBzOJtqb8loxN9EB1WHjWbxlnNX+9scDLqbP5e9bM6QFxCW7kNnZsMZQv2a0cGa/v7Kz5aPkLj8pKVlgWOu4CBjW15jjPK/T70lo0VHNdwwg4LCGdaJXAG2JbAtKc0hLDp1d62Ni1671isdZM2xEwWnVGppjpZ4z7d+jVfd8DP/+7lD9QWE+v1w9OGzcMUpywAEO3VWmsNpN/kc6nmmEzOFqlUehSona8puawSE7Zxn2RZMERIlHgNCoibFNXZCB0p6ZtXqBcOYO+SujRmuc1xBLY0u6s8EMoSNlYxaIhjM2JjKFf1gJG1LMCDMpNrSZVQfUEb9vjpgtS3x1x45DjAQUwv3pXMHsffgTOD30gdxQ6HH0EFYPc9tOiLoyxcdZLx1alFlpvWUjCql4KjGW+pTUDgDNzFTQNoL1ksBYRcyhJYeNdMbzIAwVyiV2A4YAeHND+0M/Ey9gZo++XTlKcv813vatvznqFJZp/6TNXrSJOt1AT04U6j6d883kiH09l/vvHBtQ9tCRFQPBoREzYpp7IRtiZ8h0mf1X3qCW74U12B6rd5tNQ+QzC581ehjG0sEg2kbU/mif0Ccsq3AgdHIQArjbSwZjWogUzDKSWfpgFApmE/xIiM72yidcTCfL30QFy4F1SVo9azPTNlSluXTc+3czozl91GsKyB0/2eGsDXhksCJmSJStsDySkafeW4Kt/5md8dnx/XK2kHNHdWgx3SUMoTmySlzv/R3rziu7vvW+5qRgeAJNv03Saei3wM6Q9hocleXdI5PF6quIay2vjdMv6fDv0OS6c+bcDdlIkqe3vrEIEqQuLqMAqVZhPqMtc7w2DEd1K3x1iVeeuzium5vnnkfr7CuLayUgXOzblP5oj8gPWUF1xCOZNuTIbzhjq0AogNCf/tEMOJlXt976dH+Qcs5axfgmuc1f/ZdZx7MIG+WN+PweUcdFrotym4bdtd7nocfXntuIHOi5QqOl4WSyHVIZtaw1rB7JghbE84QTuWLSFmClNdU5s1fugdAY9mgOMR9MqndUmbJqDGuwQyozPLuecP1j4fR+5rRUOl2VgeEFUtG9f/NlYzOFKKbytz8h+cBaK5klGt+iagdeudUE1HCxNVlFHCzQLliae2en1mL6Wh9+bwh/OZvNjXVjGC8zrV+RX9NpWAoY2M6XyoZdQPC0mOPZFPYGnNAqOcfAtHNGvRzalsCyxI8+eEXAQB+smUvAOD1Z6yoeja/Fn38nSs4WDCSwTffdpY/n3DucAbfevuZeMVn3DWCfoawwgHhF9+0Ecvmuh0PzfEFgFvqmfNLRq3IktGiUWJaqXOpfj5YMtqaqNeMQPymSnsOzniXdVavNJPRMnZwML1+Xs3KAnM9XiNvVd3AKrwmezBj+Y8dpZWmMlrU3+GoxaOYNZCqu6swUCrJ75U1oUDpNc8xhETJxwwhUZMaHeVQjT5o0GVefoYwxrPBA2m7ofLWb77tTJy7bkHFzpdhSpXOYA+k7WBTGdsKDGgezqZiH0xvZtGiMoR+Rix0QFV6Slov/QXcIC+bsrFqwXDg+lNWzvO/DpeM3rl5L36zc8y/n/OPLGUUU8bAbqD02sh4nVujsgz1rCE011RS86KevwNTea+pjONf3+nh3HFVF3SKme0uOE50yagRaDUSpI14gWC4K6me51c5Q9hcQGiuS65UuhuV+a+myPcrEbVRb31iECVIo6McqtEHJPoM+ApvHtai2c2vaWvVxlXzsHrBMMam6svk6aSULeIf7Pz08Wcxkk1hKGMjY6zTccdO1Bdo1sts0BJZMlohyF4yZ9DfplboYDtfdGquOdLHdGY556Z/uhMAcN2m9YGDvrQtfumt+TO6cUlUNtQMICsHhO7/XEMYn5Xz3feto9w5ekVVen47XDHqNzKqtylUt2Vsy+9onDea8KQC7wUz81b/4cuHLj8ef/vy43DMklnBx0yVl6Wa9N+umTmE/mNUKN1tNCDsyQxh72wqUd9jQEjUpDjP+JfKo9z/f/+CNfjym0/F+Q0OSI/brIE0Dkzl8byP/hh7vdK3SorGGA7dIOLxPQdx/pELvY5+wS6j03mnoTU0tcwYzVxqlYya3nvJ0fjIFcfjrDXzW3p8fb/5gqp5sGoZ2cSwoWyw+UjKsqBUafv1QWQmZSFtSeRBpXlZrZJRHrTF59RVbhZYwf0bmxlCp8MZwrnD7vrVdsz7bIfhbAo7x6YxnXcrC/R7yMywmS/VRhq9zBvO4LWnryirkPC7jNZqKtPgm2SOMQ6jUoYwZUd3CK6kHVUjncKKUaLkY0BI1KQ4M4QD6WBTmZRt4YJQI5Ju0FmzJ/ZO4IcP7qx6W7NkNGW5oxJyBcefIxZYQ+jd70QuvrJRMxPiNBAQDmZsXLlxeevdYvUoiaJT8yy+HSoZDWxPqBulPlg1W/IDKDWViTiozAUCwgoZwh7MOCSdfr84jpchNF6HUVnrdtIz+tox77Md9HP3kk/chZmC42fZzJJRsxFVHIGRfu1XXkMY/L9e6xePYsGI+/xXGjuxaNYAtu+fqvs+e3HNbxzLKYioMxgQEjUpzjWEg17Xy07PKqtlMFN/q3y/BNESpFNus5OZguPP5NJrgkSAES8LFmf2wgwIIzOEbV6DY3YZrdXQQwefUeV8ZQGhpedUegGhzhBWGUxvBpqVAkKuSYqf7irrKAVL3IBQ/7063VhDB4T1dgnuNt3wZfPug15jJreLqLlPXOaV0ocvb1ZUJ1NTs4PpLUv89YrpCqnMIxeN4LHd43VXmphdknsNm8oQJR8DQqKmxVdyp7NojayL6YRKZ86j+GewBX4p40zBQcYOZgjdwfXuwd9UnBlCr2Q0m7Kim8q0uW27fqpyhWLNA0i9CVEZwoFQQKgPfHUmUJeZlUpGo8ZOuFnKbMrCJ360BR/7n0fLbuO0+fnoR6X5lqUmKYtmuYHN+168oaPbUgoIeyNDGD4Rcpj3vJnvpWmjLLzVjD5QKjutNXaimfeI/plKgeuyuUN4bjJf9xpPfZIraScNq+Guhah3JOvok6iHxDl2olRWmaxPUHPu1+O7D1a9rWOMndCljDkjQ6gPZCwBBrz7na5z6H099IHVcDZVfQ5huzKEflMZVTNDqIOxqDWE+vnS9BqkvOPg3if34Xu/egaA0VSm6EAphdse3V2634KDjG35Af0nfrSlfBtUcLupdbN0yahSXpdRBccBLj76MJyzbkFnt2UwhUuOXYzPvfGUjj5us8JZ/cNG3YZaZuBnVhRElYU3qpQhrL6GsJl9hn5fVQo2dUlspdEzYb18AoeD6YmSjwEhUZP8NYRxlIx6Z8eTVr6nBywDwJd/8mTguqKj8IW7nvCDOmWWjNoWZgpFbwRDsCxLvLEUQHsCwsG0XSFD6G1fmw6ozFEStdb5FPzArfz3Ly8Zde9r73gOr/v83fjYLY8BAJbNHXQbUzgK//nL7Xjzl+7Bf9z7lL8NmZRVNZtQKhmt57ejeox6JaPK6y5adBSmC0V/AHoniQg+8/pTcNaazgaizQqXNus1eOYr2Ox4XG8gVY1+n2YqzGfV+4pm9hh6N1Mp2NT7w6gqgSi9WOLdO1tKRDwUIGpSOzKE4XLBbgsfKJkB3E2/2o6/+d7D+OdbNwMIlYzaFia9ctBwa3dLYASE8XUZ1QdWQxk7cl2dHtZutykL63cZLdZeQ1gINYgxlZeMuq2UtJgAACAASURBVM/bpR+/M1BedsLyOUhbbobwt/smAcBvUqEH1w9lKo/S6OWMQ1KZGcLBjI2DMwUUiiowUJ2i6fEvmm48Zb4+D0zl/K8b6dBZid9ltEonUKC5Lpl6systA9D7xXpHT1RqitULuIaQKPkYEBI1SZfBxPHxrNfUzRlKx3Bv8QkHhOaQej0zbO+4O47CCXQZFT940VnGUsmo+FmweDOE7n0NZVORM986mSGsddA2kStiOu9mUE9ZOTdwXTggrFZGnLIFjgoG4wC8tZsWhrOVTzD08gFmUpXWECqsXjCMJ/ZMoOgov/SQKnvJ8YcHvh9Ku/tE8+1qBoFxlIzq92ylkyL68mYCGl05Uun9m2k0Q9jDYyeIKPn4KUXUpHZkCOca86uSIBsOCI2SLX1WPR/qomh5XUbD96HPxq+cP+yP2ZhqQ8noULpChlAHrG3a6+nAasaYoVbN7rEZf62fqaxktEpNp1925v0NxAhKs6EM4Zbd44GfNQN4iofulOkoYO1hIxifKWDHgamaGWNyX7vnrC2Vt+oOx1HP3FvOWY1zY1iTqf8ulWZE6uubCT11AFep6iPdDxlCb1OZICRKPgaERE0qfci1/gGtDyT1/0lRLUOoM376rL0fcAkCJXI6IBzKpPDZ15+Mr/7Oae1ZQ+jd11DGRtHbphvueByrrvs+CkWnNHevbRlC9/98HXMIAWDX+LS/1s80EG4qU+W+9HXTXnlu0Wgqk7atwM9e9cV7Aj/rB4S9dICZcPpvqZTC/GG3S6aj2lemfKjR+5SMbfnPZdTb9X0v3lBx4Hsj9Pu00ozIVt4b+j4rlW3rE0H1dhl9542/bHmbiIgqSdbRJ1EPUX5Xzdbva+kct6PejgPTrd9ZjMLZK7OFvR6DoLNTel1cyrICWS0z4Nl0rFsWtnvc/T2n6zwYqodu1JJNW35w+tGbH/Ova/cZdn2gplR9j7FrbNot7QwFhOHZj9UyhPqg+Cs/3QagNHNOryE0X5sTueD4gXaX0PYj/X5xFDBklOsyQ1gf/TwF3wPte+5qBYR+hrCJmtG8U1rTHMXvMlrnPvCpfVOBbeoFfsM1LiIkSjxmCIlaFMfHs+4EeNH6w2K4t/iEs1VjU6UMoS731CVPz026180eTAfO3pudSkv36172vu886F9WKDrY9uxE09uqM14ZuzSHUB+UFR3ln4lvV+MeM7CqLyCc8QM37f6/fH7Z81WtU2h4fdKYF7DrzKN5oBs+kCwFyDU3lepkGyWIw0ZmqKfK/LpIl1oPG0FU+Kn7q5ceE+PjeTM+a2QI21Iy6pfcN3bvLPEmonbgoQBRk0prCFv/gF4+bwibr78El524pOX7ipMeKq+Zg+SnQwHh/sk8hjO2OzDdCFTC6xABYCAiSPzg9x/B+R/5sZ89bJQ+qMukLP9r/TcqKuUHsFHbEwfzoL/SWfxb330+vveOc5BJWdg95paMZo2IbE7EGtLwesSjFo3iW28/M/K6yZwRENoWNu8qzY4Mr0/lGsL46RMoG1fODWSGeimr00365MeQUTq/asFw4DYXxnjS7AXHLAIAHLt0VuT1+iRPM/sMXUFRKUOYaTBDqDWTrewWvWvpnS0m6l8MCImaFGeXUcA9YxxHcBmn8JB0swmMzrjpA5rnpnJ+QGOWOUZluKI6793x2B4AwcY1jXCMgDBcAlYsKkznixhM2217jq06MoRrFo7g2KWzsWhWFrvGotcQhoWfq3dctBanrJwHoPTcDmdsnLh8Dqa8zq95L/P4wZcfi5XzhwC4cwtNDAjjN5RJ4QfvPBcff81JgfXAXPdVH73fMDOERy4axU+uu9D/PrxPasWmYw/Hox/chPWLowNCfbJruMr4lkoKNUpG/YCw2Ng66oMzze0fiYiqYUBI1KQ4u4wmVXgN4aSRIdTZQj1L8LnJvD82wwwCo4IjEcHLT1oKwA3kfrJlL7budctFm82m6DVxGbt8MH1RKUzlimXr8+Jkbnat32HuUAb7J/N+yagO2qKEm2eY962DxTlDGQymbUx5GcLpvNtl9LITl+L2P3keTl89DxO54IFnT3YtTKhXn7oc5x25EACwYcksDGVSgaCGGcL6THjBztlrgx1EzRmFWTve93BUSbu/Pd77aajK+JZK9Pur0j5Hv3dzhcbyZ70UEPJVT9Q72FSGqEl+QHgIf+zNGUrj6vOOwPM3LMKVn/1pIEOoS0Z1I5PnJnOY7c1hSxuljJVGMKxfPAoA+Mztj+MjNz/a8rbqwfPplJStCcoVHHztZ9vaOufRDKxqzZ1L2xYKjuOXdv7XO87BwenoA71whtCOeG5TtmAoY2PnmPu32DeZw4nL5/i3G8mmsCtUissuo/H58CuOL7vMLHvkHML66C7GRy4arXibWhn1OE3OeJ2L081kCL2AsMIaQr+pTJ1jJ7RwsNwLeqjKlahvdf1TSkS+KCK7ReRB47J5InKLiGz2/p/rXS4i8nER2SIivxaRk7u35dTv9GfcoZwhFBH82aVH49RV8wIZKKBUPqobmUzmihjxDoLTqdrlk7rZQjgYjJohWI+iUrAtQca2kC86gbU23/v1MwBKjW/awQoEhNVvm7YF+YLyS0ZnDaQDWZDgbWtnCPVz/NAzY7j3yX3YP5HDvJHSmsGhbAoTM+EMobeth/ILuIuG0swQNkpXG4xUGb/TyYBQZwiHm8gQrpznZv0rNZXR67Pzda4hnDWQwpvOWoVFswYa3pZuSdoSCCKqrOsBIYAvA9gUuuw6ALcqpdYBuNX7HgAuAbDO+3c1gM90aBuJyvTS4v44DGbsUIbQPZAZn85DKYVJoyTTnL1V6WC40pnzSh3/aik6bmCUTVlQKng/elvbKdhltHaGcKZQRMFRNQ9ww89fsHmN5T/2lj1uA5k/+88HUHAU5g+XAsLhjO2X42mOMTeS4hc8QcAnuR666qDaPNZOPpd+hrCJNYRfeNOpuOENp1T8XfRJs3ozhNMFJ9b1k53Ub5+VRL2o63sXpdQdAPaFLr4MwFe8r78C4GXG5V9Vrp8BmCMih3dmS4mC+u0jzs0Qlg5epgu6y6jbwXMqX/QbKIxma7fcr3RwU2iwDbvmKAVbxF8TZA58djpwQFJPl1EtbVv+mr7aTWUqZwhTRoZQZxp0IDzPDAizqcD6TwC4a/NeACwZbSf9t2KGsD66QdXoQDJWs7zujBUQAZ63fmHDP7tgJIsXHLO44vX6ZM6jO8f9svtKio5bTVDpJFpS8VVP1Du6HhBWsEgptcP7eieARd7XSwE8Zdzuae8yos7rg6YyJjdDWMoyTRsBxm/3TbpNW7y1NuZZ8Upz9CoNg843uKZGKxTdklEdaM4Y2cx2lopq5uugVhYjbQsmvYxduHFPWPj5swMlo6U1hLlicNSGuV5yOGNjIlfwz9Tf/NBOfPK2LXVtKzUvFSrppep0hrBayWgnHb9sDp740Itw+Ozocu5W6HLvL//kSbzmX35W9bYz3sm3ds1Qbbd+O3lK1IuSGhD6lHsE09D+RESuFpF7ReTePXv2tGnLqN/5Yyf6JCIcTNv4wQM7/YBtulD0Oyk+tusgJnMFDGbcXcrIQO2SUbP81NRsyajjrSHUzRpuf6z03v/yT54EgKrdPFtlHvTXOnBL2ZbfLbDWjLNwUx4zQNTPrS2Cw0azAIC9B2cABFvlD2VTUKr0nP/e1+7zr+PYifbxm/4wIKyLzupXKxk9VJj7iwe3j1W9rc6chqsFiIjiktS9yy5dCur9v9u7fDuA5cbtlnmXBSilblBKbVRKbVy4sPFSD6J6lLqM9oclc9xmBo/vOYj7n3oO03kHRywcAQBs3z8FR5XW2ozU0WFxXsQQdgB4at+k322wEUVHB4RuMPbbfZNlt7nlXec3fL/1MtcQDtRY65OxLb+Es9E5hObzqQ8qbUvwhTdtBACMT+tGGKW/gf463FgG4BrCdjL/PlTbQu+kRtTsvvdsWo/nb1hUdnmvqtR9OYqupoia35pk/mB6pgiJEi+pAeFNAK7yvr4KwHeNy9/odRs9A8ABo7SUqKP6ocuo6dLj3OW6V372p3jZp/4PB6cLfve9m37ldvHUa1zMgLBSdmTTsYvxhas2YlZovdAffeNXePHH72p4+wqOgiWlDOF4xBiHdnYotBrIEKbt0miMmk1lqqwhNGcJhsvaAgGhd4A9MVMoay7DrEP7+Blcjp2oy5fffBo+8ZqTIjOEb79gDf7ljRu7sFXtUamUPgpnhhJRu3W9LkNE/h3ABQAWiMjTAN4P4MMAviEibwGwDcArvZv/AMClALYAmATw5o5vMJGnH+YQmsKB1rMTOSyf5wYhj+wYC1xnnuGvdOAjIrjo6EUYyqT80RVaVHavFsdRSBlrCPeMzzR8H60IZAgbCPIyNQZth7MC5vNZ7UDRbJWvM7cTuQLUePB2h8/unTb2vUb/rVgyWp/FswfwkhOWdHszOqKR14Q+edRrI2L0ZyMThETJ1/WAUCn1mgpXXRRxWwXgmvZuEVF9SmsIu7whHaJLMbW9B2fKzuTrbp4SGMFQ/QkajCgPa4aeQzjgbefu0CD2drOk/gyh2UimZsloeA2hmSH0nu+o8jNzDeGIUTI6E5p7ZnYjpXj5Y0EYEFJII2vPmSEkonbrekBI1Kv6bQ1hVPOTcPfOt52/puw2tdbKxJU9KToKloWuZQjNX7NmUxnjd64VEIbHQpjlh3pI9amr5pX9nNmiXj8nuYKDXKiStl+aInWDnyHssbVflCw6IOy515G/hpA5QqKk48IGoib5H3E99hndrKi5gb/ZWeqOt2hWNjLb16mz2kVHIWVZfibz2YlcRx5XC3YZrZH1S5klo7V3w++4cK3/tRlMHrloFLe867zA9ZoZSOp1gvmigwkjIvzs60+u+djUPDaVoTjoklF2BCaidmFASNQsXR7ZJxFhuGQUAP7xlSf6B7uVMoG1MoD6GGfFvNZGQhSVgiWlTOZkREfNdjLX92RrNZUJZAhrv36qleCuWzRac7i8/hvkig4mjYBw7WGjNR+bmsfB9BQHp0ppeJIxfiXqHb21dyFKkH7rMhouGT1i4TDOWrugFBBWKGeqlR3RAfXLTmytmUTRG0yvSzBzTQ64b1agy2hE8GwyO3vW04HSDDabCS70c5IvOoHRE7VmIFJrSmsI+TxT8wpFriEkovbipxRRk/pvDWEwyNFBjw5WKh2s1ApgdCDZ6jBqt6mM1bWDJjPI02t+Kt7WCMTqCfDMqtJqv9/X33p61W0rFFUgQ9gvJzO6ZelctwvvVL6z2Wo6tPRqU5ne2lqi/saAkKhJKqKj5qEsvIbwz190NAAYJaPNZQh1A5ZWA0LHUbCt7pVVzR5M4+0XrMFoNoUNS2ZVva35XNVzkCeBDGHl32/+SHTHUD26wi0ZdYOTTMrCgpFszcem5p20Yg4AYGwqX+OWRJUVHLfaoVdLj9lThij52GWUqEl+yWhXt6JzzPLCt52/BmevXQAANdcQ1gqYdVMVc24e4AbcjQTbBUfBFgkEWLYlNbN1cXrPpvV4z6b1NW+XaTBDeP6RC/GRmx8FAEiVeLfS38BsKjOZK2IwbeORv9lU83GpNb977hEYTNu4cuOybm8K9TC9hrDnMoR9crKU6FDADCFRk/yS0T75zDNLRqNKGJttia4zj+EOeo0Gco43h9Ac5J7UNXLmSIh6DvKOXTobw14H12q3rhRc+gFhwcFUrlizCyrFI21bePPZqyMbMhGZqo1m0GsIezZDyNH0RInHowKiJpUyhL35Id2obMryg1+zSYZVYw1hPfdr0o9RaDAgLDpuQGhuR60Zf90yZAyNr7fE9V/fejpetXG5P2Q+SqWgXAfJ+aJyM6lsckKUKNVOgOnranUTJiJqFo8KiJqk+qyrjGUJRrxAJqrrZbrJIGP5XHfcxEg2hS3XX4L3XuKWXDYaEBa8gNAMsJKaIRwyymPrfdpOWjEXf3fF8VXLsNIVZhr6GULHgVIKdYw+JKIOKlbJEBZVb2YI9dZyDSFR8nENIVGL+qVkFABGBlIYnylElow2myH84xcehSMXjeLC9YdBRIyOmI2NjXAchXTa6o0MoVEyGmcTnEp/g1LJqELRURxwTZQwTpXdXaFHu4wSUe9I5tESUQ/oswQhAPjlimbJYaU1hLMG6jvfNJC28cpTl/uZr5TfAKW+08r3bduH6XzRG0wvgbPozWYt283sqBrnQV6l39e2BJa4TWUcVb5ek4i6K5whdByFv/3BI3h6/ySKPTqHUO9mmCAkSj5mCImapBfK91MntdEBHRCWLqs0duLWd1+AZydmGn4MfT/1NJV59uAMrvjsT3H9y46D4yikLIHlBT+OSu6ByGDGzBDG9/qp1tgnbVteQKjqLlMlos4I7+8e3jGGG+7Yivu27cfV5x0BoPcCQiLqHTwsIGpSX2YIB9IAwk1lUHYZACwczWL94urz+KLoAClfR8novokclAKe3j/pryF078PdljULR/CXL97Q8Da027DRVMZusjtrlGoHjBnbQr7olozafXQSg6gXOKGAUH++5AqOHyx2a8Zqs3TDNa4hJEo+ZgiJmuR3Ge2jY2s9M9CMYfRBSjqmwMZfQ1hHhnBs2h34vWtsxp2vp5veWAIU3W36nXNW49mJGZy3bmEs2xeHdmUIKzWVAYB0ysgQ9tOLlqgH6JLRQtHBuX9/G1520lIAbiXKPU/uAwA2gyKituHuhahJpQxh/xxc6wMS2zgysVpsKlP+GO791NNUZmyqAAB46JkDeGLvBGYPugFhKrRNf/LC9Tj9iPmxbF8czDmEcQZn1f4EKUuMktH+ec0SJdWmYxb7X+sM4e2P7cGOA9P4zI8f9y4HvvR/TwIor8JIOp53IuodvbV3IUqQ0hrCLm9IB+lsoFlyqGPDuDJdOtPYSIbwNzvHAQCjuqTVjl7XmBRmNjXObaw1kiJXdOA4YMkoUQJ89g2n4EOXHweglCH851s3AwBWLxgGADhGvWVS92e1cDA9UfIxICRqUj+uiyhlA0uX6bPWqZjqmXTQWaijy+jYVL7qfST1jLoEAur4D/JOWDa77LJs2sJMwUFRqb46iUGUZPrkjF4nqAPA2YPuyS3zc4ZNZYioXbiGkKhF/XRwrc9Qm2WOOtkV19lr3SkzX20wl2dsuhD4fipXDGxLL5xRj7tL7Y//+AIsGM2WXT6YtjGTd58fHlgSJYM+yaZ3d/pE2MSMu28zM4S9+r7tx5OnRL2GASFRk5T3KddPawh1IBh11jqug5VWMoQD3to8f5ti7ODZK1Z5pWZhA2kbU/kiMrbFpjJECaELK/ymMk4wIFSB2/bW+5a7GaLekcx6KqIe4DeV6aMPPZ1xM9f36YOUah0uG3oMfw1hPRnCYED4zovWBu6jFzKEnTKYtjGVK6KowKYyRAlhhUpGdTOtgxEZQmbaiKhdGBASNckfO9HVregsHWgVI8qY4jp77TeVqSdDOF3wA3JLgKFMdJdRAgbSFqbzDpRS6MPEKVEi6X2UDvzyumTUK383g8DRARZ1EVF7MCAkalIpQ9g/R9f64KVojITwm8rEXTJaT4ZwKo/lc4cAAGZT0qhuqP1uIG1jOl9E0eEcQqKkCDeVyXv7VrPJjAjwzgvX+iXxvaI0mJ6pTaKkY0BI1CR/7ESXt6OT/IDQXEOom8rElHbSj5GvM0O4cr4bEJpnz/t5DWElg94aQs4hJEoO/V4sOgr7J3LYPT4TuH7fwRyUiq8kn4goCusPiJrUj2sIS2ezzQyhLs+M54BFH/gUK8wh3HlgGotnDwAAxqfyWDZ3EJ9+3ck4+vBZ/m24hrCczhA6DpDQaRxEfUfvUx2l8IrP/KTs+nFvLWE61XtvWv3ZyAQhUfL13h6GKCH8NYR9FBHqjFsxUM0Zb/Dlj50olpeMfv/XO3DGh27FTx7fCwCYKTjIpixcetzh/iBnoPQ3Seocwm4YzLgZwqJSXFtJlBC2kSHcunei4u2YISSiduIehqhZfXjaMypDKDGXjPqdTCNKRu95ch8A4JEd4+5tHAfpiKBv0jurvmhW+Ty+fuVmCB2uISRKECvUVKaSXqx+15vcf5+URL2HASFRkxT6q1wUAI5cNAoAWDHfyMZ5/8eXIazdVEY/UqGoIgNRfR8r5g3Fsk2HgqxXcjadLzIgJEqI0km20mWDEc1jZgq1m2wRETWLawiJmqRUfzWUAYDLTlyCVQuGccKy2f5lfoYwrjWEEbMONd2tTj9mruhEllJdftJSXL9jLFBGmjS3/8kFeG4yX/uGMcl4z1Ou4LBklCgh9G7TXDO9YDSDp/ZNBW43lS92crNi0U/LKYh6HQNCoiYpqL77wBMRnLh8TuAynW2KrWRUZwgjSkbDsx8LReXPLTS99dzVePnJS7FgJLkloyvnD2Pl/M49nn6e3Axh5x6XiCrTGcJ33vhL/7KhdPmh2XS+dzOEfbi6gqjnsGSUqEn9mCGMomPiuLJOpbET5QdA+sDC8rOI0RlCEUl0MNgNmZRbhjZdcFgySpQQen+3xxg3kU6Vvz+nezFD2O0NIKK69WRAKCKbRORREdkiItd1e3uoP/XjGsIoevhwVHOXZuhMVlTJqG68IHDLR/NF5WcUqbpghpAvXKIkiJoJGnWS63ijTL/XKLaVIUq8njuSEhEbwKcAXAJgA4DXiMiG7m4V9SM3Q8gDa8ScIdRrEaPmEPqXiPgBY5r1j3XJGE1luIaQKBnsiJMzmVBA+Lbz1+DlJy3t1CbFhuediHpHL64hPA3AFqXUVgAQkRsBXAbg4a5uVQPu27YPX/3ptm5vBrXooWfGWBMDo8tozGMnqpWMCkprDHtxYHM36INMR/FAjSgpMhH7r/BlqxcM9fR69R8+sBNPVJmxSHQo+tDlx2Eo0zthVu9saclSAE8Z3z8N4HTzBiJyNYCrAWDFihWd27I67Z/I41dPPdftzaAYPH/Dom5vQtfFfaBiWQJLgK17JrDquu/jf951nj/uQucILRHkvIAxrnEXhzqzDI0lo0TJMG84U3ZZeP1zXB2cu+Hioxdhy+5xHvNQ34mqckqyXgwIa1JK3QDgBgDYuHFj4v4iF29YhIsZSNAhQsdjcXaSS9kWbvrVMwCAb933NN576dGBxxABCl5AGLXehsqZmdSfPL63i1tCRNrcoWBAeOLyOfjAS4/Bf/5yu39ZXNUXnSYi+PxVG7u9GURUh148ktoOYLnx/TLvMiLqAn2oEmfjAHNdoLnezWwq468hZEBYF3Nd0sRM73UsJDoUhctDr71oHWYPpgOXcc0vEbVbLx5J3QNgnYisFpEMgFcDuKnL20TUt3TJaJwZQrMMNepgSMQdsA707tnzTsukygNrIkqWbLr8sKyXS0aJqDf03F5GKVUA8AcAbgbwCIBvKKUe6u5WEfUvHWbEWS4/mSv4X5sBoRnHlDKEDAjrkbFt/2vGg0TJ8Ttnr/a/Hki779Mb3nAKRrPuqh6ukyaiduu5gBAAlFI/UEodqZRao5S6vtvbQ9TX/DWE8UUZZnBptmXXlxcdriFslDnsmnPBiJLjRccf7n+9eNYAAOAFxyzGiSvmAABsnvQiojbjkRQRtUTPYmxXiGEeDOlApqiU0WWUu7F6mIFzjzU/Izqkmet7dUBoYjhIRO3GIykiaomUusq0hZkh1ElIx1H+HEJzbRxVlgkEhIwIiZLCzN5bRnmovz6741tERP3mkBw7QUSds3LeEABg/kj5PK04RDWVeWrfJP7jHnccKTOE9TG7GTIeJEqOSmXv/p6P71ciajMGhETUkrdfsAYblszChesPa/tj6XWKn7/rCf+yoxaPVro5GXSzCiJKlkyFgNCf8cqIkIjajAEhEbUkZVu46OhFbbv/fLF0MBS19m1RxJobKjfIgJAokSqNzmnHSB8ioiistSKiRMt7zWN2j03jpl890+Wt6V3meI4brz6ji1tCRCZdMjoQmkHoL89mQEhEbcaAkIgSTY+XuObfftHlLeltYjTnOeOI+V3cEiIy6Xfm/OFs8HLvPcsmUETUbiwZJaLEedv5azBTKOJff7YNea9OdP9kvstbRUQUv3nDGbzr4iNx2YlLApf/zcuOwdyhNM4/amGXtoyI+gUDQiJKnOsuWQ8AuPHnT/kZwohmoyx9JKKeJyK49uJ1ZZcfPnsQH7nyhC5sERH1G5aMElFipWzxm8pIaDzz+sWjLH0kIiIiahEDQiJKrJQlGJtyS0UllCEcyrBrJhEREVGrGBASUWLtn8zj27/cjlzBCTRFATh/kIiIiCgOXENIRIk3lS8ivITw7LULurItvezE5XMwPs3mPERERFTCgJCIEi9XcGCF6hkGUiwZbdR3rjm725tARERECcOSUSJKrHWHjQAAZgpFWKGS0YE0A0IiIiKiVjEgJKLE+oML1wIAZgoOHt05Hrgum+bui4iIiKhVPKIiosTKptxd1D1P7MNMwQlcx5JRIiIiotYxICSixMp6Qd8zB6bLrhtghpCIiIioZTyiIqLEyngZwowd7jFaChaJiIiIqHkMCIkosXTJ6FS+WHYdM4REREREreMRFRElls4CHpwulF/HLqNERERELWNASESJpUtGD864GcJPvOYk/zqdPSQiIiKi5vGIiogSSwd9EzNuhnDNwhGMZFOB64iIiIioealubwARUSV61uBBLyBM24L/esc5uOfJfRApbzRDRERERI1hQEhEiTXorRO8a8teAEDatrBqwTBWLxju5mYRERERHTJYc0VEiTU6kA58n2aZKBEREVGseHRFRIllW8Gy0HTEPEIiIiIiah4DQiLqGWmLuywiIiKiOPHoioh6BktGiYiIiOLFoysiSrTTV8/zv2bJKBEREVG8uhYQisiVIvKQiDgisjF03XtFZIuIPCoiLzQu3+RdtkVEruv8VhNRp33xTaf6X7NklIiIiChe3Ty6ehDA5QDuMC8UkQ0A6xxsUAAACY5JREFUXg3gGACbAHxaRGwRsQF8CsAlADYAeI13WyI6hA1lbP9ry2KGkIiIiChOXZtDqJR6BEDUcOnLANyolJoB8ISIbAFwmnfdFqXUVu/nbvRu+3BntpiIuoED6ImIiIjaJ4n1V0sBPGV8/7R3WaXLiegQl2EzGSIiIqK2aGuGUET+F8DiiKv+XCn13TY+7tUArgaAFStWtOthiKhDfnrdhXh6/1S3N4OIiIjokNPWgFApdXETP7YdwHLj+2XeZahyefhxbwBwAwBs3LhRNbENRJQg80eymD+S7fZmEBERER1ykliHdROAV4tIVkRWA1gH4OcA7gGwTkRWi0gGbuOZm7q4nURERERERD2ta01lROTlAD4BYCGA74vI/UqpFyqlHhKRb8BtFlMAcI1Squj9zB8AuBmADeCLSqmHurT5REREREREPU+UOrQrKjdu3Kjuvffebm8GERERERFRV4jIfUqpjVHXJbFklIiIiIiIiDqAASEREREREVGfYkBIRERERETUpxgQEhERERER9SkGhERERERERH2KASEREREREVGfYkBIRERERETUpxgQEhERERER9SkGhERERERERH1KlFLd3oa2EpE9ALZ1ezsiLACwt9sbQYc0vsaonfj6onbi64vaia8varckvsZWKqUWRl1xyAeESSUi9yqlNnZ7O+jQxdcYtRNfX9ROfH1RO/H1Re3Wa68xlowSERERERH1KQaEREREREREfYoBYffc0O0NoEMeX2PUTnx9UTvx9UXtxNcXtVtPvca4hpCIiIiIiKhPMUNIRERERETUpxgQEhERERER9SkGhF0gIptE5FER2SIi13V7e6j3iMhyEblNRB4WkYdE5Frv8nkicouIbPb+n+tdLiLyce8192sRObm7vwH1AhGxReSXIvI97/vVInK39zr6DxHJeJdnve+3eNev6uZ2U/KJyBwR+aaI/EZEHhGRM7n/ojiJyLu8z8cHReTfRWSA+zBqloh8UUR2i8iDxmUN77NE5Crv9ptF5Kpu/C5RGBB2mIjYAD4F4BIAGwC8RkQ2dHerqAcVALxbKbUBwBkArvFeR9cBuFUptQ7Ard73gPt6W+f9uxrAZzq/ydSDrgXwiPH93wH4R6XUWgD7AbzFu/wtAPZ7l/+jdzuiav4ZwH8rpdYDOAHu64z7L4qFiCwF8E4AG5VSxwKwAbwa3IdR874MYFPosob2WSIyD8D7AZwO4DQA79dBZLcxIOy80wBsUUptVUrlANwI4LIubxP1GKXUDqXUL7yvx+EeTC2F+1r6inezrwB4mff1ZQC+qlw/AzBHRA7v8GZTDxGRZQBeBODz3vcC4EIA3/RuEn596dfdNwFc5N2eqIyIzAZwHoAvAIBSKqeUeg7cf1G8UgAGRSQFYAjADnAfRk1SSt0BYF/o4kb3WS8EcItSap9Saj+AW1AeZHYFA8LOWwrgKeP7p73LiJrilbacBOBuAIuUUju8q3YCWOR9zdcdNeqfAPwpAMf7fj6A55RSBe978zXkv7686w94tyeKshrAHgBf8kqSPy8iw+D+i2KilNoO4KMAfgs3EDwA4D5wH0bxanSfldh9GQNCoh4mIiMAvgXgD5VSY+Z1yp0pw7ky1DAReTGA3Uqp+7q9LXRISgE4GcBnlFInAZhAqdQKAPdf1BqvDO8yuCcflgAYRkIyMXRo6vV9FgPCztsOYLnx/TLvMqKGiEgabjD4daXUt72Ld+lSKu//3d7lfN1RI84G8FIReRJuWfuFcNd8zfHKr4Dga8h/fXnXzwbwbCc3mHrK0wCeVkrd7X3/TbgBIvdfFJeLATyhlNqjlMoD+Dbc/Rr3YRSnRvdZid2XMSDsvHsArPM6XWXgLnK+qcvbRD3GW9vwBQCPKKX+wbjqJgC6a9VVAL5rXP5Gr/PVGQAOGGUORAFKqfcqpZYppVbB3Uf9SCn1OgC3AbjCu1n49aVfd1d4t+/ZM6XUXkqpnQCeEpGjvIsuAvAwuP+i+PwWwBkiMuR9XurXGPdhFKdG91k3A3iBiMz1stgv8C7rOuHrvfNE5FK463NsAF9USl3f5U2iHiMi5wC4E8ADKK3x+jO46wi/AWAFgG0AXqmU2ud9IH4SbsnMJIA3K6Xu7fiGU88RkQsA/LFS6sUicgTcjOE8AL8E8Hql1IyIDAD4Gty1rPsAvFoptbVb20zJJyInwm1YlAGwFcCb4Z6k5v6LYiEifwXgVXC7cv8SwFvhrtfiPowaJiL/DuACAAsA7ILbLfQ7aHCfJSK/A/d4DQCuV0p9qZO/RyUMCImIiIiIiPoUS0aJiIiIiIj6FANCIiIiIiKiPsWAkIiIiIiIqE8xICQiIiIiIupTDAiJiIiIiIj6FANCIiLqayIyX0Tu9/7tFJHt3tcHReTTbXrMPxSRN8ZwPzeKyLo4tomIiPoTx04QERF5ROQDAA4qpT7axsdIAfgFgJOVUoUW7+t8uLPUfjeWjSMior7DDCEREVEEEblARL7nff0BEfmKiNwpIttE5HIR+XsReUBE/ltE0t7tThGR20XkPhG5WUQOj7jrCwH8QgeDIvJjEflHEblXRB4RkVNF5NsisllEPujdZlhEvi8ivxKRB0XkVd593QngYi/IJCIiahgDQiIiovqsgRvMvRTAvwK4TSl1HIApAC/ygsJPALhCKXUKgC8CuD7ifs4GcF/ospxSaiOAzwL4LoBrABwL4E0iMh/AJgDPKKVOUEodC+C/AUAp5QDYAuCEWH9TIiLqGzyjSEREVJ8fKqXyIvIAABteUAbgAQCrABwFN4i7RUTg3WZHxP0cDuCR0GU3Gff1kFJqBwCIyFYAy73LPyYifwfge0qpO42f3Q1gCcqDTCIiopoYEBIREdVnBnCzciKSV6VF+A7cz1OBG8ydWeN+pgAMRN23d18zxuUOgJRS6jERORnApQA+KCK3KqX+2rvNgHefREREDWPJKBERUTweBbBQRM4EABFJi8gxEbd7BMDaRu5YRJYAmFRK/SuAjwA42bj6SAAPNrfJRETU75ghJCIiioFSKiciVwD4uIjMhvsZ+08AHgrd9IcAvtbg3R8H4CMi4gDIA3g7AIjIIgBTSqmdLW08ERH1LY6dICIi6jAR+U8Af6qU2tzi/bwLwJhS6gvxbBkREfUblowSERF13nVwm8u06jkAX4nhfoiIqE8xQ0hERERERNSnmCEkIiIiIiLqUwwIiYiIiIiI+hQDQiIiIiIioj7FgJCIiIiIiKhPMSAkIiIiIiLqU/8fm3irNXcge/YAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def Bruit(time=time, tau_n=15, I_n=1000, I_0=200, seed=42, start=start, end=end):\n", " np.random.seed(seed)\n", " dt = time[1]\n", " x=np.ones_like(time)\n", " for t in range(len(x)-1):\n", " n = np.random.randn()*I_n\n", " x[t+1] = (1-dt/tau_n)*x[t]+ (dt*n/tau_n)\n", " \n", " x += I_0\n", " x[timeend] = 0,0\n", " \n", " return x\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(fig_width, fig_width/phi))\n", "ax.plot(time, Bruit())\n", "ax.set_xlabel('Time (ms)')\n", "ax.set_ylabel('I_b (pA)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On vérifie que si on relance la fonction générant le bruit aléatoire, on obtient le même signal:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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