onde-1.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "y(x, t) = A * sin{2*Pi(t/T - x/lambda)}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "Pi = np.pi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "lambda_ = 2 # longueur d'onde en m\n",
    "x = np.linspace(0, 5*lambda_, 256)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "A = 1.5 # amplitude en ua\n",
    "phi = 0 # déphasage (en multiple de Pi/4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = A*np.cos(2*Pi*x/lambda_ + phi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(x, y, 'o-')\n",
    "plt.ylabel('Amplitude (ua)')\n",
    "plt.xlabel('Distance (m)')\n",
    "plt.title('t = 0')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NbECrxj45WZ4QBevefmpqKbCrqcuZu7O5pqfZeByG8ognM4zHkmuCsRQOdTcSDklgXfrzMyvk8qps6xuC69LbYbYrss/lCNHeZhLpXGB3BDwzuURDickANlf3NHN+dqUqapMZxeERF2ascNPhrtIt0WhNmH3tDZyfCWao6vysZYke7i69z4PtDUTCIc7NBtPjsMfqUBl9tr+fcwENSZ6fWaatofayDbp2Yq3PMwEd59kVDnU1bbtKfiOHu5vI5RWXqiCzyigOj7DnKQ50bl3HZzOGOhoCO8cxXGj30Da1izYSDgn7OhrWPhs0hmdX6GyK0LJJKfWt6GmJUl8bDm6f51bKGmNYvycC2+fZFYbKfZY7g93nYozi8IjzsyuIwL4SM6psDnQ2cWF2JZCrbM/PrtDXWldyRpXNgc7GwCrLC7MrZRsHIsJQkPs8s8LBMvvc2RShOVoTyD6nsjlGFxJlj7P9HQWxzxsxisMjhmdXGNhTT7SmTCHa1chqJsdUPHgTp7sRomA9YMNziUCusj1fQZ+DKFBW0znGY8ldKcsDXY2BrBg7Mp8gryhbWbY1RNjTUBvIPm/EKA6PsIRo6XFvG/vmPB/AmP9uFceBzkbS2TzjAZs4jSczzC6ndjXOBzobuTSfCNyaneG5Qgh2k50ddyKonqU9j7Xbe/tCAJ/ljRjF4QFKWWsxyrVQYP3mDNoDtrCSZjGR2fXDBcHr8/Au57Hsz+TyKnAlKXY7d2d/ZmxxlWQmWFsk230ud44D1kPPQccoDg+YWU6xnMqWvGK8mN6WOqI1obWsrKBwvkKBAsFTHJUI0aGA97ncyXGwvielCFyW0YXZFToaI7TWl54AYXOgs4GpeCqwC1xtjOLwAFvo78ZCCYUkkC79cAVWWVdzlMZIOHB9vlBIgNi/CwMhqBOnF2ZX6G6O0hjdege8rbAVbNDSzS/sIqPKxg5jBm2cN+Kr4hCRT4jItIic3OL/IiJ/LiJnReRREXm21210gosFi2o3lihYgihoVtnF+QQhgcE95QtREWF/R2Pg+nxpLkFfSx11teUlQADsaYzQUlcTyD7vVojuL3gpQQvPXZpP7MrDgnWjImh93ojfHsf/Bu7Y5v+vBq4q/NwF/LUHbXKckYIQ7S9jlWkxg3saGFlIBCold2Q+QV9rPZGa3d1ig+31wROi8wkG2stXlDaD7cEzEC7NJ3ZlHAC01tcGTlmmsjkm40kG23f5LBfujyD1eTN8VRxKqQeA+W0OeSPwD8riR0CbiPR50zrnsIVoKXX7N2NfRwPJTJ6ZANUyGplP7PrhAtjX3sDIfMCU5UKCfRUoDrvPQSGZyTG1lKyszx2WURQUxhZWUYpd97m1vpbW+tpA9Xkz/PY4dmIvMFL0erTw3tMQkbtE5ISInJiZmfGkcaUysrBakRC1LbogCZVKLFGwLLNUNh+YXeKShbU2lQjRwfYGRhZWA1P4b2zREqKV3ttBsr7ttg5WaCBcmg9WqvlGdFccmxWC2fSpUkrdo5Q6qpQ62tXV5XKzyuPSfGWWqH2TjgTkZktmckwvVS5EgcBYZqML1thUJETbG0hng+NZ2oZMpV7WaICU5UhhnCu7t+sZDZCy3AzdFccoMFj0egAY96ktu2I1nWNmKVWR9T2wxxJGQbHMRhcqt8rs7ysofXZCiA4GbJxHHLC+BwrKcjognuXIfIJITYiuMgo6bmSwoCyDWBnBRnfFcS/wy4XsqluBmFJqwu9GlYMtRMutUVVMXW2YnpZoYASKE+78mrKcC4aX5VQIA6xMpSBwaT5BtEIhui9gk8WX5hIM7qkvqyruRva1N5DO5ZmKJx1smbf4nY77aeCHwDUiMioi7xaRXxeRXy8cch9wHjgL/C3w73xq6q4ZccD6hmBNnNohtUqs77raML0tdYEJVY3MJ6irrUyI7t1Tj0hwwnMj86sMtjdULEStcwWkzxUmQEAw5yw3Uv6qHQdRSr1jh/8r4Dc8ao4r2NZjJaEq+/M/Oj/nRJNc59J8gvraMJ1NkYrOE6SUXDsZQGT3QjRaYynLYPV593M6AP1tdYgEyOOYT/Cc/XsqOkexl/Xcgx1ONMtzdA9VBZ6xxVWiNaGKhejAnnom40myASiCN7awWhAIuxeiAAN7GhhbCEaoamxxlb0VClGwxvlK6nO0JkxPc10gdgKMJzMsJbNl7fq3Gf1tlmcZhD5vhVEcLjMeSxZulMqEaF9bPXkFUwGYRJyIre56sWMxfa11TMWTgZhEnCiMc6X0tdYzEdM/9r2SyhJbzTjT57Y6JmL6C9GJRWtcKu1zpCZEZ1N07XxBxCgOlxlftKzvSrFv1iCUGh9bTFZslYHV52xeab+WYzWdY34l7VifJ2L6p6fagt6pPo8HQIjaz54TyrK/rZ7xACjLrTCKw2UmFpP0tTpwo7Vaykd3xZHK5phdTjnT54LC1f0Bs4VoX6sTBkIdmZxidkVvZWkLeqfu7fHFVe2rBNj3oSOGYKHPQcUoDhfJ5PJMLTkUwiicQ/cwxlTMEnhXkpdlj4kzQrQwzppb4OvWtzPjnMrmmV9JV3wuN5lYTBIOCd3NlffZDknqriy3wigOF5mKJ1Fq3VuohKZoDS11NdoL0TEH3fm+gAhRu89OhG362oLhWY7HkohAT4szQhT0N4rGF1fpbakjXEH6sU1/Wx2JdI7YasaBlnmPURwuMu7QZJpNEGLBEzHnFEdLXQ1N0Rrts09sxdbTuvs1HDa28hkPgBDtaa7bdeHOYuw+6z7O47FVR8KRUOxN6z3OW2EUh4tMOBgTtc5Tr78luuhcvF9E6GvVP+NmfHGVruYo0Zry9+HYSGt9LfW1Ye3HeSK2uuYdVYp9ngnN+zy+6EzYGYITht0KozhcZGxNiDp1swVAiMaSdDRGdrWZ0WYEwcsaj606Eo4ES1kGYpwdFKIdjREiNSGtvax8XjEZSzqmLO37Rfdx3gqjOFxkYjFJa33trrbV3Iy+1noWEhlW0zlHzucG44vOWaIQEGW56My6FZv+tnrGNFaWSimrz04qS82zjGZXUqRzeUfmsQA6m6LUhkXrcd4OozhcxGmBsh7/1vcBm1hMrmUGOUF/az2zy2mSGT2VpVKKiZgzKdc2/a31Wodt5lfSpLJ5x5WlzopjwsH0Y4BQSOgNQBh2K4zicJHxWNIxqwzW5w10fsCcVpZ2GvKkpmGM2GqGRDrn2DwWWDH/meUU6aye5WWcTD+20X3FvJPpxzb9rXory+0wisNF3AhhgL7pqfFkhqVU1tmHS/P0VKcz5+xzKYW2ZbedTD+22dtmlZfRtRabPf/iqDcdgPm7rTCKwyXsWj5Oxvt7W+u0Lo7mtDsP6w+qrhOnTpahsLH7rO84F5I+HPWy9K7FNr64Sn1tmLaGWsfO2d9Wx2RAarFtxCgOl3Cylo9NbThEd3NU27jouINrOGx6NQ/PraVcOxiStL0sfcc5SaQmREdjZRWfi9E9PdVOP660WGkxfa315AJQi20zjOJwCSdr+RTT16qve+tGHLiusK+HrkJ0bDFJbVjorGADp43Y94zO49zf6qwQ1b0W25jDSR+w/pzo6lluh1EcLuGGEAXLg9E1q8rJWj7F6JyeOhFbpbe1rqJd8DZSHwnT3hjRVog6PXcH60kQuirLCYeqXBezNmep6fO8HUZxuISTtXyK6dO4kqiTtXyK6Wut0zY9dXxx1XGvEtbHWUecTj+G9VpsOgrRdDbPjEMVn4tZ9yz16/NOGMXhEk7W8immv62eZCbPYkK/4mjjMeetMljP8ddTWTqz98hGrH059LO+s7k8U/Eke10cZ92wi5U6Pc52LTZdvaztMIrDJZys5VOMznHRcYf2HtlIf2s9K+kc8WTW8XNXQi6vmIwnHSt8V0x/q57bqU4tpcir9dCSk+ianjrmQhYZrNdi01FZ7oRRHC4x7sJkGhTHRfV6wJRytpZPMbpm3MwspcjllWtCdCmZZTmll7J0sojlRvrb6rScv1vfqOvK8Sx3wigOF1BKMRVPrqWSOklvYc5Et8VhC4kM6VyePofndAB6C+XKdeuz3R53+qznOK/12QUh2ttSx2Iio115mam4lS7r1vOs2xiXwraKQ0QGROR9IvJFEXlIRB4Qkb8SkdeKiFE6W7CcypJI5+hpcS5F06ajKUpI9BUoTicDAGtZWldknzWzRm0h6sa93V34HnVb1zAVT9IUteYjnKanJcrsckrbFfNbsaXwF5G/Bz4BpIE/BN4B/Dvgm8AdwPdE5EWVXFxE7hCRMyJyVkQ+sMn/f0VEZkTk4cLPr1VyPa9Yf7icFyjhkNDVHNVWiHa7IURbbI9DM4Gy5J4Qtc85taTXOE/HrcV/rfXOraC2sZ+XSc3u7el4au0edJruljryCmaX9d42dyPbqdCPKqVObvL+SeDzIhIB9u32wiISBv4SeAUwCjwkIvcqpR7fcOg/K6Xes9vr+MG0LUQdXs9gY7m3egnRaRct0WiNta5BN2U5HU8SEssLdJqetZCkXuM8FU/S0xJ1dPGfja5h2Kl4kh4Xn2X7Gm6EwtxiS49jC6VR/P+0UupsBde+BTirlDqvlEoDnwHeWMH5tMG2Et0QomBZKTo+XABdzS71uTmqpRDtao46vm4FoDFaQ3O0RsNxTrkmRHu09SyTrj3LPZoqy53YcZ5CRK4Skc+JyOMict7+ceDae4GRotejhfc28nMi8mihDYPbtPMuETkhIidmZmYcaN7usW98N8I2YD1gut1oU0tJ2hsjjmyfuhk9WirLlCvhSJtuTcfZrT631tcSqQmteew6YCW6uDfO68pSnz6XQikT3H8P/DWQBV4C/APwjw5cezMzbeMKry8BQ0qpZ2LNrXxyq5Mppe5RSh1VSh3t6upyoHm7x83JNICe5joWEhlSWX2yT6biKbpd8jZAU2UZT7oWjgRbWeplfbsZ7xcRelqiWs1xxFYzpLN514zAjibLY9VtnHeiFMVRr5T6FiBKqYtKqf8KvNSBa48CxR7EADBefIBSak4pZX+jfws8x4Hruo6bDxesu7fTGt1s03H3LFGwYsG6ZZ9ML6VcC2GAfl7WcspaV+LmOPc069VnN7PIoJDs0qSfUbQTpSiOZCH19ikReY+IvBnoduDaDwFXiciBwkT724F7iw8Qkb6il28ATjtwXddxczINoKcwiTatUcaN5c67J0Tt7JO5FT2yT1LZHPMraXeFaEsd0/GUNqVWpuPuzt2BdW/rZBC5mXJt09MS1XYfkq0oRXG8F2gAfgvL4v8l4F2VXlgplQXeA3wNSyF8Vil1SkR+T0TeUDjst0TklIg8Urj+r1R6XS9wczIN9JtEzOUVM8vuxvt1m0SccTEV16anJUo6p09dsjXr202jSDuPo6A4XOxzd0udVvM6pbBjEF4p9VDhz2XgV528uFLqPuC+De99sOjv3wV+18lruo3bk2mwfhPrsg/33IpVesOtODCsC+jJWJJnDrh2mZJxOwECLl/XsMfBTZN2i+3huj3OK+kcy6msa3OE5TC9ZI+zuwbCQ8Pzrp3fDXYcGRH5Dk+ftEYp5cQ8R9Xh9mQaQFtDLZFwSJvFYWtrOFycHF/Ld9fEpZ/2wBItzrh5Rl+La9cplSkvQlUt60bR4e4m165TKlPxJK31tdTVupMtCJeXWnHzOk5Sikp/X9HfdcDPYWVYGTbB7ck0sLJPului2sSCvYgD26VWdHHpvRCidsaWPuOcoiESdtUTsC376bg+isPNMYbLS60Mtje4ei2nKCVU9ZMNb31fRL7rUnsCjxdCFPQqjuZmiRUb3UqtTC2lqA0LexrcCyF1a5bjP1XInHNj1bjNumepS5/dDTvD5fN3VaM4RKS96GUIa4K817UWBRwvJtPAutlOT8ZdvUapTMWt3Q47m9yNw/e01DGpjfVtreFwcsvYjdilVnRZ1zDt8lodWLe+dUn8mI4nOdTV6eo11ubvNBnnUijF5/wJ1hyHYIWoLgDvdrNRQcaLyTT7/N99UpOHaylJZ1OUGod3O9xIT0sdI/MJV69RKm6v1bHRqdTK1FKSGwfaXL2GvXBWBy8rn1eur9WB4npVeoxzKZQSqjrgRUOqBS8m08ASovaCLL+zT9xew2HT0xLlhCbZJ1Nq4o6/AAAgAElEQVTxJIe63I/B97TUabFex95jxotx1qXUynwiTTavXA9V6VhqZSe2K6v+gu0+KCItInK9800KNl49XLaVosPN5vaCRxudSq14Oc46CNF4Mksyk3ddiII+1Z+9SICA9VIrOoxzqWwXW/g5EfmBiHywsHHTLSLyIhH5VyLyj8CXAee3AQs4XkymwXooTIe46FQ85Wr6sY0upVZWC/ufe9PnKDNL/pdaWdsqwKNx1kGITnuwVsemp7lOi2e5VLaMcSilfkdE9gA/D7wV6ANWsVZ5/41S6nveNDFYeDGZBvoI0Uwuz9yKR6GqVj2yT6aXvMmcg8tLrXhxva2Y8mCtjo2daq6UcjWDaye8ypAE694+Pa5HskspbBscV0otYBUX/FtvmhNsvJpMA31KcMwup1DKo4dLk1IrXqzVsSkeZ38Vh4dCtLlurdSKnyvm7XHucmGjro30NNdxf3za9es4hdk33EG8mkwDK/ukMRK+soSoJnuPeypEdVGWa+VGvFOWfoduppaSdDRGiNS4LyaLS60EAaM4HMSryTSbnlb/Y8Fre417MDne1mBln+jSZy8SAno1EaLT8RTNdTU0RNzP4Ott1WPh43Q86cn8BlxeaiUIGMXhIF5OpoEelUTXJ03dV5a6ZJ9ML6WI1oRoqXdfiOpSasXLUJkupVa8SjOH4jnLKlEcItIgIv9FRP628PoqEXmd+00LHl6GMKzrRH0vzTAVTxEOCR2NHj1gzf6nanpResNGl1IrXqUfgz6lVrxKM4eikKQGa3ZKodStY1PAbYXXo8Dvu9aiAOPlZBqsby3q50Y/U/EkXYXtL72gp6XO94fLSyEKemwhOxVPeSZEozVh9jTU+hqey+byzC5753HoVmplJ0pRHIeUUh8BMgBKqVU23y/8isfLyTSwBEo66+9GP1MeZZHZdLdEmfI5Djzt0boVG7/XNSilmF7yLt4P/ivLuZU0eeVd2NkutVJNcxxpEamnsCeHiBzC8kAMG/ByMg2KUjV9tMC97nNvS53v2SdehjAA3+d1FhIZMjnluZflZ6kVr8PO1rWiWpSXKYVSFMeHgK8CgyJyDPgW8H5XWxVQvJxMAz1SNf0I29jX9YPlVJaVdM7bPvtcasUvIeqnsvQyzdzGby+rHHZUHEqpbwBvwdrv+9PAUaXU/e42K5h4b4n6K0RT2RwLiYynffZ74tQfIepvlpHXaebWteqYWbK2JPYDv8bZ74SAUtkyn1BEnr3hrYnC730isk8p9VP3mhU8vJ5MA+hqXt8tzQ/Wtoy9AoWoF+nHNmu74i35U2plLc3cUwPBKrViPVPer5ifjicJCXR4uHJdl1IrpbBdIvpHC7/rgKPAI1iT4s8EfgxsWz33SsPryTSAulp/s0+mPVxNbOP3qmI/lGVvq7047MpRlr1F3rQfimMqnvJkj5lielusUisLiQztPpZaKYUtvxWl1EuUUi8BLgLPVkodVUo9B3gWcNarBgYFP1xb+3p+xUW92DJ2I35v9ONLCMPnUitTS0n2NNQSrXF3j5li/J6/m1ryXmH5HXouh1LU6bVKqcfsF0qpk8BN7jUpmPgxmQaWh+NXqMovZWm79H4wFU/RGAl7unlWW0MtkXDIt+w5r7YKKMZvIep1ogsUK8vqUBynReTjInK7iLy4sIL8tBMXF5E7ROSMiJwVkQ9s8v+oiPxz4f8/FpEhJ67rBr55HM1R38I2U/EUtWFhT0Otp9f1c+8CPyxREfF1/YrXKddgzS2ExD8h6kefuzUp4lkKpSiOXwVOAb8NvBd4vPBeRYhIGPhL4NXAdcA7ROS6DYe9G1hQSh0G/gT4w0qv6xZ+TKaBpahml9O+ZJ9Mx5N0N3tTeqMYP/PdLYHirSUK9roG/7wsL/bhKKYmHKKzyR/PMp3NW/ufeJgMAEVJEAFIyS0lHTeplPoTpdSbCz9/opRy4qm9BTirlDqvlEoDnwHeuOGYNwKfLPz9OeBlomm6gR+TaWAJ0VxeMbfi/c1mWd/+CFG/Sq34EbYB/9Y15PKKGZ8ym/wqLzOz7E/Y2S614ndJnVIopcjhBRE5v/HHgWvvBUaKXo8W3tv0GKVUFogBHQ5c23H8CGHAehaXH1aKX0K0u1BqJbbqbakVpZRvWT7dzXW+jPHcirWWwh8DIerL5LhfYWf7mkFYBFiKeXwUuLnw80Lgz4FPOXDtzTyHjSZkKcdYB4rcJSInROTEzMxMxY0rFz8m08DfSUS/hKhfGTfx1SypbJ5uj8M2YI3zUirLiselVrzeKqAYvxI/vNwqYCN+JruUQymhqrminzGl1J8CL3Xg2qPAYNHrAWB8q2NEpAZoBea3aOc9hZTho11dXQ40rzz8mEwD/4RoIp1lKZn1Ld4P3ivLKQ/3Gt9Iz9oiQG/H2Vfru7mOuZU06Wze0+v6kWZu09Psj5dVLjvmFG5YQR7C8kCaHbj2Q8BVInIAGAPeDrxzwzH3Au8Cfgj8PPBt5WcN8S3wazINoLMpiviQfbK2EM6HPvu1rsHvEIbdhgOdjZ5d16808+Jrziyn2NtW79l1p+JJakJCe4P3i/B6WuqYWbbCg15tVbAbSklG/2jR31ngAvC2Si+slMqKyHuArwFh4BNKqVMi8nvACaXUvcDfAf8oImexPI23V3pdN/BrMg2gNhyio9H7LCM/hWi3b9a3/0LUD2UpYhkoXlOsLL1VHCm6m6OEfBDcxckuXpZ4KZdSFMe7lVKXTYYXvISKUUrdB9y34b0PFv2dBN7qxLXcxE8hal3Xe/d2ask/IVpXG6a1vtY3j8OPB9qvJIjppSQdjVFqPc4WhOL0VI+9aY/3HimmeJx1Vhyl3A2fK/G9KxY/J9PAn6qa6332U1l63+eWuhrqI96V3rBpjtZQXxv2QVn6k/QBxR6H9/M6/vdZ7wny7arjXgscAVpF5C1F/2rBKnxoKODnZJp13SiPjsY8veZUPEldbYiWOu9KbxTjR9qiX+nHYK0et/aY90OI+tPn9oYINSHxRVneetCfrH+/a3SVynZP/TXA64A24PVF7y8B/9rNRgUNPyfTwAqdzK2kyOTynoUUbCHq13rMruYo52dWPL2mX2t1bLp98Cyn4imeOdDq6TVtQiGh2+Mso2QmR2w149s428kuuu8EuKXiUEp9EfiiiNymlPqhh20KHH5OpoFlfavC3gV9rd5MInq9adVG7K1F83nl2fc+HU/x3IPeZTRtpKeljsdGFz27XiaX932SttvjLWTX9x7xJ1RlJ7sE1uMQkfcrpT4CvFNE3rHx/0qp33K1ZQHCz8k0uNy99UpxTC+lONLf4sm1NqOnOUomp1hIpOnwIOMnn1dM++xx9DRH+aaHG/3MLqdQyr8QLFj39oVZ7zxLP9fq2PS0RLVfBLhdqMqugHvCi4YEGa9z6zfi9YSaXXrjpdd2e3K9zSieOPVCcSwk0mRyyvNif8X0tNSxmsmxlMrSUud+RWI/049telrq+NH5Tdf8uoLfGZL2tXWvV7VdqOpLhd+f3OoYg4Wfk2ngfdricipLIp3zVaDYHt7UUpLrcN/z8TsBAi4fZ28Uhx5CNLaaIZnJUVfrfjabHsoyymNj3ia7lMt2oaovsUVdKACl1BtcaVHA8HsyDaCjMUpIvFsQp4MQ7fFYWU4t+Zt+DOvrR6bjKQ53O1G8YXv8TjMHKwkCYGYp5cl+69PxJJGaEK313u4xU0xXcx2zyymyubzn1bZLZbtQ1R951ooA4/dkGkA4JHQ1e7euYdrHhXA2tkDxahJxes369tcSBTwLY0zFU4RDQkejv6Eqqy1JTxSHvYbDz90belqihWSX9Np+87qxXajqu/bfIhIBrsXyQM4U9s8woMdkmn19r4Toep/9EyjRmjDtjRHPlKX93Xb5aCB0t3i7IG4qnqSrKeprzSSv1zVYm1b5/CwX1WLTVXGUsh/Ha4FzWOXUPwacFZFXu92woKBDHBgs699rIepn2AbwNMd/Kp6kvTFCtMb7VeM2TdEamqI13o3zkn+rxm28Lmjp91odCMbq8VICaB8FXqKUul0p9WLgJVjbuBrQYzLNvr53cxzJNSHmJz0e5vjba3X8prvFu+1U/doqoJi2hloi4ZBn4bnpeMrXOR0oDknqu5ajFMUxrZQ6W/T6PDDtUnsChw6TaWAJ0fmVNKlszvVr6fBwgbf1qvxew2HT46ln6V/NJhsR8UxZLqeyLKeyvo9zR1Mh2SXgHscpEblPRH5FRN4FfAl4SETesqGG1RWJDpNpULR3gQdWit+rxm26m+uYWbL2LnAbHYQoFJSlB9Z3KptjIZHRYpy9KuKpQwIEeJ/sshtKURx1wBTwYuB2YAZox6pf9TrXWhYQdJhMA28nTq04sB5CNK+sfbHdJJdXzCz5V+CwGDsJwu39zKY1SLm28cqzXAs7a/A8W2FYfUNVOwaplVK/6kVDgspUPMkz+vwrvWHTs5bj7+4DZq0a10OIerV3wexyirzyPxkArDaks3liqxnaXCyqOaXBGg6b7uY6Hnxy1vXrrPdZg3FurmNscdXvZmxJKVlVB0Tkj0Xk8yJyr/3jReN0RynFpI9lp4vxaoe4hUSGdDavSZ+9yT6ZjFnn79Wiz96kp04WvlMd0kF7WupYSmVZSWVdvY5efda7XlUpaTH/D2sL1y8B3u4arzlLhdIbva3+W2V7GiLUhsX1TIw1IarJwwUeClEtFMe6srym173V4zoqy+mlFAdczOSbjOmRLQjWOM+tpEln80Rq9Fs9Xso3lFRK/bnrLQkgUzE91nCAvXeB+5OIuqxbgfW9CzzrswYGglfrGqbiSaIaZAvC5crSzWKiuiRAQFGyy3LK0/3WS6UUxfFnIvIh4OvAmmmnlPqpa60KCDpZouBNjr9O7ry9d4HbazkmY9ZGXZ0+lt6w6S6yvt1kMp6it9W/jbqK8SoMO6nRSu3uImUZVMVxA/BLwEtZD1WpwusrGp3CNmBZo+dmll29xmQsiYi/tbmKsTJu3FeWfm7UVUxdbZjW+lr3PY6YHnN3cHkShJtMxZLcesi/KtfFeJXssltKURxvBg6a+lRPR6ewDVhC9Afn3M0+mYon6WiMerZF7U54keM/FU/So4lxAN6kp07Gk9w02ObqNUqlOVpDfW3Y1T5bG3WltIke6L73eClP/yNY+44bNjAZT9LWUOvJPgGl0N1SRzyZZTXt3upxy53Xw9sAjzyOWFIbgXLs2DGefOQh7v3GdxkaGuLYsWOOX8POFtTFkxaRwsJH98Z5diVFNq+06fNasoumHkcpiqMHeEJEvmbScS9nMqaPhQLr4SM3Y/6WENUn5trdXMfcSopMzr2EP13WrRw7doy77rqL5Zlxwk3tXLx4kbvuustx5bGoUcq1jduJH1MxfRY8gpXs0tWk797jpYSqPuT0RUWkHfhnYAgYBt6mlFrY5Lgc8Fjh5SXdNo+a0mQNh03xdqr7O9zJPpmKJzk6tMeVc++G7rW9C9zZb30pmWE5ldXCEr377rtJJBJElucJN7YDQiKR4O677+bOO+907Dq6JX2ANc4nXdwVT88+e1fEs1x29DiUUt8t/gGywNsqvO4HgG8ppa4CvlV4vRmrSqmbCj9aKQ2ACY1CGLCuONy62ZIZq36RVn1uXleWbjClkUC5dOkSALnlOSRcQ6i++bL3nWI9c06nkKRVgsOtUiuTMWuVtg4Ggo2XRTzLpaQZThG5SUQ+IiLDwO8Dpyu87hsBey/zTwJvqvB8npPJ5ZlbSWk3aQrr2V5Oo1syALi/enxSoxDGvn37AMgtzwMQbu647H2n0Gl9kk1PS5REOseSS6vHJ+NJwiGhs0kvZalrqGpLxSEiV4vIB0XkNNYGTiOAKKVeopT6WIXX7VFKTQAUfndvcVydiJwQkR+JyLbKRUTuKhx7YmZmpsLm7Yxl/ehhidq01tdSVxtyUYjqlX4M64vyXOuzRutWPvzhD9PQ0EB2eQ6AmqYOGhoa+PCHP+zodew++7k18EbWDASXjKLJWMr33Q430tNSR2w142qyy27ZzuN4AngZ8Hql1AuUUn8BlNwDEfmmiJzc5OeNZbRvn1LqKPBO4E9F5NBWByql7lFKHVVKHe3q6irjErtjXYjqY6GICH2t9Yy79XBpFLax6WyMUhsWxhfd9bJ06POdd97JPffcQ1/Bs+weuoZ77rnH0fkNsPrc2RTRqtRFf2ERnFv3tm4p1wD9bVZ7JmL6FTvc7s74OWAS+I6I/K2IvAwoWR0rpV6ulLp+k58vAlMi0gdQ+L3pxlBKqfHC7/PA/cCzSr2+26wLFH0yjMAScK6HqjR6wEIhoaelbi1G7TSTsSSt9bXUR/RIub7zzjs5d+phwiHhPe//L44rDShkzmk0xrCuuF0b53iSPg2Mg2Js2eLW81wJWyoOpdQXlFK/AFyLJbR/B+gRkb8WkVdWeN17gXcV/n4X8MWNB4jIHhGJFv7uBJ4PPF7hdR1Dx7ANQF9bHRMulWOejKVoiIRp1qAIXDH9LntZOngbxYRDQk9zlHHXhKheaeZAofwJ7nmWGipL2+Nw696uhFKyqlaUUseUUq8DBoCH2ToLqlT+AHiFiDwFvKLwGhE5KiIfLxzzDOCEiDwCfAf4A6WUNopjqrBl7J4G/4vAFdPXWseUS7viTRWEqA71i4rpa3PXy9LJw7LpbXW5z5opjtpwiK6mqCt9XkllWdJgy9iN9LjsZVVCWaajUmoe+JvCz65RSs1hzZ9sfP8E8GuFv3+AVSdLSyY12TJ2I32t9Ws71jltQem0mrgYW4jm88rxelKTsSTXuli+fLf0tdXz+Hjc8fOmsjnmV9LaeRxgGUVueFk6ph+DVZesozESTI/DsDk6laEopq/Vdm9deMA07XN/az3pXJ65FWfLqWVzeWaX9QvbAPS11DG+uOr4uoa1LWM1NBD6WuuZcEGI6ph+bNPb6l7ouRKM4tglOrrzwNrqaaddeqsInL5hG3C+zzOFLWN17HNfWz2pbJ7FRMbR89qCWUdl6VZ4TsdsQRu3lGWlGMWxC9aKwGl5oxU8DoetlPlEmkxOadnn/lY7VdPZPuu0C95G3PIsdVq3spH+tjqWU1niSWeVpc597mutM4qjWoitZkhm8lreaFa13pDjltmk5u48OO9x6NznPpf6rHfYxh1vejKWpLmuhoaIXtmCYCV+xFYzJNLu7rdeLkZx7IJJDUtv2NiLAJ22UnRNPwboaIwQCYeuKOu7r9WdBXGT8ST1tWFa6vQTov0uedO6zt3BuoGgm9dhFMcumCjkktt51rphubfOPlz2+fo1FKKhkNDT6nyq5kTMSrlub4g4el4n6Gq2ymM4nao5EVulr02/lGtwz7OciCXp03B7VnBvzrJSjOLYBWMFi2dvW4PPLdmcXhfiomOLSSLhkFZF4Irpa61fU+hOMba4yt62ei22jN2IvQjQ+T7rucc1WB6+iPNe1nhhnHXErTnLSjGKYxeMLa5SExK6NNl3eyP9rfVML6XIOri50diiZYnqKETB8oQm4s4+XGMLq9p6lWBlVjluICzoK0RrwyG6m6OOelmr6RxzK2n2ajrObnlZlWIUxy4YW7CEqE6VNIvpa6uzFgEuO1eSeWwhoa1AAWvi1F4E6BRjGlui4HxIMpnJMbuc0rrPvQ7P361FD/bo2edoTZjOJv0WARrFsQt0dm3BnQm18cXkWoVSHelvqyOTU44tAkxlc8wspbQNR8J6qqZTiwDt+0XrcXY4DDuuedgZ7PUrJlQVeMYWV7V+uOwJNafi3+lsnqklfWPfsL7WwikLXPcECLDGOZXNs+DQIsCxBb2tb1hfSe2UsrQ9Dt3H2WRVBZxMLs9UPMmAxkJ03eNwRohOxpIopbdAWduvwSFlqXsIA5yfOB1bTABobSD0t9azks4RTzqzrmFsYZVwSLRNx4VCjS4zOR5sJmNJ8poL0db6Wuprw45ZKetZZPr2eX0S0Skhap1nQOMQhp1C6tTE6dhikpDouW7FxunJ4vHFVXpb6qgJ6ysK+1rriSezrLi0be5u0Pfb0pR111ZfIWotAnRu4jQIiqOj0dqxzjFlubCKaC5EnfYsxxZW6Wmpo1ZjIbq+R4UzfR5d1DtzDvRcBKjvHaIp4wEQolDY0MlBIWqfU1fWlaVzXlZ3c1Sr7VM30tkUpSYkDvZZ78w5cH5BnM7pxzZulZepBH2fCk2xhajOHgdYD5hTcdHxxVW6mqNEa/TYPnUrnIwF6545B4VFgC1O9lnvzDmA7sKKeSf6nMtbxUp1DjtD8fydPvMcRnGUyXhslc6mCHW1egvRgT3WIsBUNlfxuXRfz2AzsKdhLaxWKbpnztkM7Kl3pM/5vGIitqq9EK0Jh+htqVsz4CphKp4kl1faj3Nvax0hscJqumAUR5mMBsC1BUuIKuVMSm5wFEc9k/Ek6WxlK+bzecXEov6WKFjjPOqAEJ1eSpHJ6S9EwUpMcaLPQZi7A2vFfF9rPaMLCb+bsoZRHGUytqi/VQbrD0OlD5hSKlB9VqryyeLZ5RTpXF7rlGubvQ4py/UsMv37PLDHGSFqh34GAnJvO6EsncIojjJQSjG+uLq2cZDO2A9DpQ/Y7HKadDavvVUGlvUNlSvL0QBkztkM7HFGWQZh3YrNwJ4GR5TlaEDmK6EQkjSKI5jMr6RJZvKBeLj6Wq1aWpUK0SCkH9s4pSyDsILaZr3PFY5zwIRoXlWeZTS2uMqehlotN3DayMCeeiZiq2QcLFxaCUZxlIG9KjkI1rc9iVipEA1K+jE4pyyD1OfBNS+r8nFura+lKRoMIQrO9DkIxgFYXpYTytIpjOIoA7skQxCsMrBjwc5YokF4wNaVZeVeVnNdDc11tQ61zD3WMm4c6HMQFCUUK8vK7+0ghJ1hXVmOaDJB7oviEJG3isgpEcmLyNFtjrtDRM6IyFkR+YCXbdwM+0YNwmQaOJNxM7a4SlO0RsutRDfDiYnTICwKs1nPuHFAiAakz+vKcvfjHKSkD3Bu/s4p/PI4TgJvAR7Y6gARCQN/CbwauA54h4hc503zNmd8MUljJExrvf6WKFhCdGopWdFaDtsS1XEr0c1wSlkGxTgAOz21MiE6HqA+1zrgWcZWMyTSucAYCGvKcv4K9jiUUqeVUmd2OOwW4KxS6rxSKg18Bnij+63bmkvzCQb2NARGiO5rt9ZyVJKNMTKfCIxAAavPk/EkyczulKVSqtBnfYsbbmRfewOXKhAoi4kMS6lsoMZ5sMI+258NyjhHaizPspI+O4nOcxx7gZGi16OF9zZFRO4SkRMicmJmZsaVBl2cW2F/RzBuNGCtrRfndnezKaW4OJdgf0ejk81ylf0dlrLcrQU+u5xmJZ0L1ji3NzAVT7Ga3p2yHJ5bsc4TsHEe3uV9Dax9dqgzQONcYZ+dxDXFISLfFJGTm/yU6jVsZtZvuXuLUuoepdRRpdTRrq6u3TV6G/J5xaX5BEOdQXq4rLZeLAiGcplZSrGayQXu4YLdK8tL89Z3NRQkIVq4J3drjdqfGwqSsuxoZHY5tetS45cKz8S+9mD1WRePw7UZT6XUyys8xSgwWPR6ABiv8Jy7xporyAfqRutsitAQCe/aSrE/F6Q+28py132eLfQ5SEK0MD7Dcytc09tc9uftPg8GapzXDYTr+lvK/vzwXILu5mgg1nDY7O9oYH4lTTyZocXnjD+dQ1UPAVeJyAERiQBvB+71qzH2wxUkS1REKrJSbE8lSH3e01BLc13NmkVZLhfnE4QkOJlzsD4+l3apLC/Or9DXWqd94c5i1vo8v7txvjSXCNR9Dese4W7H2Un8Ssd9s4iMArcB/yIiXyu83y8i9wEopbLAe4CvAaeBzyqlTvnRXli/QYMU+wbLGh3erRCdSxAOSWBSFsFWlruPBV+cW6GvtV77EvLFtDbU0lpfW9E4B8mrhHWPcPfe9EqgvEqAfe22N727cXYSX/w0pdQXgC9s8v448Jqi1/cB93nYtC0ZnktQG5a1TVWCwv7OBr79xDS5vCIcKi8b7OK8tbGPzjvCbcb+jkYeH4/v6rMX5xKBmtOxGerYfZbRxbkEL7u22+EWuUtLXS3tjZFdzWUl0lmml1KBmtOByufvnCRYEsFHLs6tMLCnQeu9iTdjf3sj6Vx+V0XwgpZFZrO/vYGR+QTZXdT1uTi3smbZBYl9HY27skSXU1lml1OBs77BmnvbTeKHrWD3BSxU1RitobMpuutkFycJlhT0keHZRCCFqG1V2XM0paKUYng2mIpjqKORbF6VvcFRbDXDQiITOEsUrHEeW1gte7FnEOexbIY6GhieLV+Irs9XBnOcy32W3cAojhLI5xXnZ5c51NXkd1PK5lC31eZzM8tlfW5mOUU8mQ1ony0hWG6fz05bxweyz11N5FX5YYy1PncHT3Ec6mpiPJYsOyXXvi8OBnScy72v3cAojhIYW1wlmclzuDt4N1p3c5TmaE3ZN9u5acuSC2KfbcFv96FU7O8oiH2223xuusxxnlkhJMH0OOw+XyjT6zg3vUxfa10gKgFv5HB3E3MraRZW0r62wyiOErAFShAtURHhYHfTmmVZKmcD3Oe2hgidTZGy+3xueplIOBSoVFybg12W4N9NnwfbGwKVimtje9O7ubeDeF/D7r1ppzGKowTsGzOIlijA4a7yFce56WUaI+HAZZHZHOpqWlN+pXJ2epkDnY2BS4AAaIjUsLetfld9PhxQITrU0Ug4JGXd20opzk0vB/hZthZ4lvs8O03wnhAfODezzJ4GK/0viBzubmJ6KUU8mSn5M+dmljnU3RSYgo4bOVTwspTaskrN07D6HLyQjc3BrsayLNFcXnFhdiWwQjRSE2J/e0NZfZ6MJ1lJ5zjUFcxx3runnkhNyHgcQeDcdHAfLthd/DvIlihYXlZsNcNcibHgZCbHpflEsPvc3cS56RXy+dKU5ch8gnQuvxbyCSKHyvTLZkUAABC2SURBVAzDricDBLPP4ZBwsLPReBxB4OxMcF1bWFccpd5sy6ksE7FkYB8uKL/Pw3Mr5FVwBQpYfV7N5Bgvcc1O0EOwYLV9eG6l5L24q6XP5YYkncYojh2YXkoyv5Lmqu7yi8fpwuCeeqI1Ic5MLpV0vH3cVQF+uK7uscar3D7bnwsiZfd5yjouyEL06p4mMjlVcmbVmckl2hpq6WqKutwy97i6p5mR+VWWd1kZ2AmM4tiBU4XSFUd2UYFTF2rCIa7tbebxidLKcNjHHdnb6mazXKWnJUpHY6Tk0iOPj8eJhEOBFqLP6LPu0XL6vL+jwfdKq5VwpN+6R0vu80ScI/0tgZ27g3VZ9ESJz7MbGMWxA/YN+YwAKw6A6/pbOTUeL2my+PHxGG0NtfQHNKMKrDTk6/pbODURK+n4U+Nxru5tClxdrmKaojUMdTSsGTs7cWo8xnV9wb6vD3Y2EqkJcWp853HO5PI8MbkU+D7bZeRLHWc3CO5T4hGPj8cZbK8PtFUG1s0WW80wHkvueOzj43Gu6wu2VQZwXV8LT04u7xj/Vkrx+EQ88AIFrHEuxbNcTmUZnksEvs/leNPnZ1ZIZ/O72r9DJ3pb6tjTULvrQp5OYBTHDjw+EedIX3BDNjbXlRjGyFaJVQaWEE3n8jumLk7FU8yvpNfCHkHmSH8rl+YTO6ZeP7EWjgz+OB/pb+HxErzpxwveZ9DHWUQ40t9acujZDYzi2IblVJYLsyuBt1AAru1tRoQdXfrzsyukqsAqg/VY8Kmx7R8w+zuphj7bCv/0DgaCHea4rkqMooVEhokdvOlTY3GiNSEOBmj75624rr+FM5NLJWeTOY1RHNtwcswSKNdXgVXWGK3hYGcjj45urzgeGVkE4PoAT4zbHOhsoiES5tHRxW2Pe3Q0RkjWJ5eDjO1B7DjOo4t0NkXoaQludpGNncRRyjhf29cSyMoAGzlS8KZLzaBzmuB/gy7y0IV5AJ69b4/PLXGGm4faOTE8v+0CsYeG52mtrw30QjibcEh41r42jg8vbHvcQ8PzPKOvJZBF7zbS3VzH/o4Gjg/Pb3vcQ8PzPGf/nsDPYwFc399KtCbE8Qtbj3Mqm+Ph0UVu3l89zzJY4+gHRnFsw/Hhea7paaatIZilRjZy81A78WR2LX9/Mx4aXuDmoT2EytwtUFduHmrnick4sdXNY/6ZXJ6fXVpcexCrgZ0MhMlYkpH51arpc6QmxE2DbdsK0UdHY6SzeW4+UB197m+rZ29bvVEcupHN5fnpxQVuPlAdFgrALQe2t1Kml5JcmF2pGoECcMtQO0rBTy9ubo2eHIuxmsmtfTfVwC1D7SwkMlsmBdjeSFX1+UA7p8ZjWy6KO16IHlTVvX2gneMXFsqqx+YURnFswemJJVbSuaq60Qb21NPbUrf2EG3kRCGkUy1WGcCz9u2hJiRbhm5sJVpN42yP35Z9vjBPYyRcFZlzNjcPtZPfxkB4aHiew91NgS1Uuhk3D7Uzu5xi2Ic9yI3i2IIHz84A8NwDHT63xDlEhFsPtvODc3Ob7sf94FOzNETCXB/wdMVi6iNhbhxs48GnZjb9/4NPzXKwq5Gu5uBPEtsMdTTQ0xLlwSdnn/Y/pRTfOzvLc4baq2KS2ObZ+/dQG5ZNxzmZyfHQhXmeW0UGEcCtB63+bHVvu0n13DkO85XHJrlpsI3eAK+e3oxXHellfiX9NGs0m8vz9VOTvOwZPURqquu2eNWRHk6OxRmZv9wyW1hJ84Nzc9xxpNenlrmDiPCqI73c/+Q0ifTloZsnJpe4MLtSdX1uitbwgsOdfOXk5NNCNw88OcNKOscd11dXnw92NXFVdxNfeWzS82tXl4RwiJH5BI+NxXjNDdV1owHcfk039bXhp91sx4fnmVtJ85oqe7gAXn19HwBfOTlx2fvfOD1FLq94zQ19fjTLVV59fR/JTJ77z1xujX7lsQlCAq880uNTy9zj1Tf0MbqwyskN63a+cnKStoZabj1YPdEDm1ff0MePL8wxu5zy9LpGcWzClx+1BIwtcKqJ+kiYl1zbxVdPTV62eOhfHp2gvjbM7dd0+9g6dxhsb+CGva186ZGJy6zRLz86wWB7faALWG7FLQfa6WiM8OVHx9fey+cVX35sguce6KAzwNVht+KV1/VQExK+VNTnZCbHN09P8crregJdh2wrXnNDL3llGQRe4ss3KSJvFZFTIpIXkaPbHDcsIo+JyMMicsKLti2nsnz8wfPcdrCDwfYGLy7pOW87OsjMUorPHL8EwNjiKv/nJ6O8/sY+6iPB23u6FN528yCPjcXWLPCfXlrggSdneOtzBqtiLcNGwiHh558zwFdPTq4tEvvyYxOcn1nhbTcP+Nw6d2hriPCqI70c+9HFNQv8E9+/wFIyy1uPDvrcOne4pqeZZw608r++e55kJufZdf1SwSeBtwAPlHDsS5RSNymltlQwTpHPKz769TPMraT5j6++1u3L+caLr+7iuQfa+bNvPcXw7Aq//+XHAXjvy6/2uWXu8QtHB9nf0cD/+MppRuYT/P6XH6ezKcq7X3DA76a5xq+/+BCN0Rp+78unGJlP8EdfO8O1vc284ca9fjfNNf79K68mmc3z3+87zdnpZf76/nO87NruqsqaK0ZE+I93XMvY4iof+/ZZz1JzfVEcSqnTSqkzflx7K2KJDG/56x/w998f5m1HB7hpsM3vJrmGiPCfX3sdK6kct//R/Xzl5CS/+ZLD9LfV+90014jUhPgvr72OczMrvPAj3+FnI4v87quvpbEKVotvxZ7GCO9/1TV8/+wcL/zId5iMJfng664jXCWLOzfjUFcTv/aCA3z+p2O8/I+/Cwo+UMVGIMDzD3fy2hv6+Nh3zvIL9/zoaQkRbiB+LB5Zu7jI/cD7lFKbhqFE5AKwACjgb5RS92xzrruAuwD27dv3nIsXL5bVFqUU7/3nh7n9mi7edNPeqgxfbGR0IcE9D5znpdd2V+XcxmY8MRnnH354kbc+Z4BnVUkpmZ348fk57n1knH/1ggMcqoJSMjuhlOLrj0/xw3Nz/PqLD1VdZuRm5POKz54Y4WeXFvnDn3/mrs4hIj8pNbLjmuIQkW8Cm6Xo3K2U+mLhmPvZXnH0K6XGRaQb+Abwm0qpHcNbR48eVSdOeDIlYjAYDFVBOYrDNT9dKfVyB84xXvg9LSJfAG6htHkRg8FgMLiEtvlpItIoIs3238ArsSbVDQaDweAjfqXjvllERoHbgH8Rka8V3u8XkfsKh/UA3xORR4DjwL8opb7qR3sNBoPBsI4vKSVKqS8AX9jk/XHgNYW/zwM3etw0g8FgMOyAtqEqg8FgMOiJURwGg8FgKAujOAwGg8FQFkZxGAwGg6EsfF057hYiMgOUt3R8nU7g6TvgVDemz9XPldZfMH0ul/1Kqa5SDqxKxVEJInLCi4KKOmH6XP1caf0F02c3MaEqg8FgMJSFURwGg8FgKAujOJ7OlhV4qxjT5+rnSusvmD67hpnjMBgMBkNZGI/DYDAYDGVhFIfBYDAYysIojgIicoeInBGRsyLyAb/b4zYiMigi3xGR0yJySkR+2+82eYWIhEXkZyLyZb/b4gUi0iYinxORJwrjfZvfbXIbEfmdwn19UkQ+LSJVtw2giHxCRKZF5GTRe+0i8g0Rearw25VtLo3iwBIkwF8CrwauA94hItf52yrXyQL/n1LqGcCtwG9cAX22+W3gtN+N8JA/A76qlLoWq+J0VfddRPYCvwUcVUpdD4SBt/vbKlf438AdG977APAtpdRVwLcKrx3HKA6LW4CzSqnzSqk08BngjT63yVWUUhNKqZ8W/l7CEiZ7/W2V+4jIAPBa4ON+t8ULRKQFeBHwdwBKqbRSatHfVnlCDVAvIjVAAzDuc3scp7CN9vyGt98IfLLw9yeBN7lxbaM4LPYCI0WvR7kChKiNiAwBzwJ+7G9LPOFPgfcDeb8b4hEHgRng7wvhuY8XdtSsWpRSY8AfAZeACSCmlPq6v63yjB6l1ARYxiHQ7cZFjOKwkE3euyLylEWkCfi/wHuVUnG/2+MmIvI6YFop9RO/2+IhNcCzgb9WSj0LWMGl8IUuFOL6bwQOAP1Ao4j8or+tqi6M4rAYBQaLXg9Qha7tRkSkFktpHFNKfd7v9njA84E3iMgwVjjypSLyKX+b5DqjwKhSyvYmP4elSKqZlwMXlFIzSqkM8HngeT63ySumRKQPoPB72o2LGMVh8RBwlYgcEJEI1kTavT63yVVERLDi3qeVUn/sd3u8QCn1u0qpAaXUENYYf1spVdWWqFJqEhgRkWsKb70MeNzHJnnBJeBWEWko3Ocvo8oTAoq4F3hX4e93AV904yK+7DmuG0qprIi8B/gaVgbGJ5RSp3xults8H/gl4DERebjw3n9SSt3nY5sM7vCbwLGCUXQe+FWf2+MqSqkfi8jngJ9iZQ/+jCosPyIinwZuBzpFZBT4EPAHwGdF5N1YCvStrlzblBwxGAwGQzmYUJXBYDAYysIoDoPBYDCUhVEcBoPBYCgLozgMBoPBUBZGcRgMBoOhLIziMFxxiEhORB4uVE99RET+vYiECv87KiJ/vs1nh0Tknd619mnXrxeR7xYKc5b6mfeISFWn4Bq8xaTjGq44RGRZKdVU+Lsb+Cfg+0qpD5Xw2duB9ymlXuduK7e8/m8ANUqpPyvjMw1Y/XuWey0zXEkYj8NwRaOUmgbuAt4jFrfb+3SIyIsLnsnDhQKBzVgLrF5YeO93Ch7IgyLy08LP8wqfvV1E7i/aB+NYYRUzInKziPyg4O0cF5Hmwh4h/1NEHhKRR0Xk32zR5DsprAYuXOO7IvJZEXlSRP5ARO4snPMxETlU6GMCGBaRW1z9Mg1XDGbluOGKRyl1vhCq2lhJ9H3Abyilvl8oBpnEKhC45nEUrPlXKKWSInIV8GngaOHzzwKOYNU9+z7wfBE5Dvwz8AtKqYcKZc9XgXdjVXG9WUSiwPdF5OtKqQt2Yworvw8qpYaL2ngj8Ays8trngY8rpW4Ra2Ou3wTeWzjuBPBC/v/27tg1iiCK4/j3pwSSIqTRxiooHqlEC7s0gWBhrVj5B1gIam9hp42NIdhLSu1EIkKqQEhAkQSxEZuAGAsRC1HMPYs3C5tjkzgJKcL9PtUdO3O7e7A382b33oPVw31bZh44zBpdGZKXgceSFoAXEbFZgoa2EWBO0kVgG+i1tq1GxCZASesyCfwAvkTEGkCTkVjSFeCCpGul7wRwHvjc+rxTwGAtjbUmjbakT0CTPnwdmGm12wKmdj17swoeOGzoSTpL/uhvkbN3ACLioaSXwFVgRdJsR/e7wFdy5n+CjEoav1uvt8nrTXSn7BdwOyIW9zjUX8BgCdT2Pvqt9312Xt+jpb/Zofkehw01SaeBp8BcDDwpIulcRKxHxCNyqWcK+AmMt5pNkBFEn0waud/TTh+BM5Iul32Mlyp1i8CtkuoeSb3BgksR8R04qYPVz+4BG/u2MvsPjjhsGI2VpaMRMnvqM6ArtfwdSTNktPABeEXO5P9Kek/WfJ4Hnku6DiyRhZJ2FRF/JN0AnkgaI6OAWbKU7STwttxE/0Z32c/XwDTwpuaEyWzIDyr7mHXy47hmx4ikS8C9iLh5lH3M9uKlKrNjJCLeAUs1fwAkb6rfP6JDsiHkiMPMzKo44jAzsyoeOMzMrIoHDjMzq+KBw8zMqnjgMDOzKv8AhAziMsBbnVwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "lambda_ = 2\n",
    "x = np.linspace(0, 5*lambda_, 256)\n",
    "phi = 0\n",
    "for t in range(9):\n",
    "    y = A*np.cos(2*Pi*x/lambda_ - phi)\n",
    "    plt.figure()\n",
    "    plt.plot(x, y)\n",
    "    plt.scatter(t*lambda_/4, A, color='red')\n",
    "    plt.scatter(t*lambda_/4+3*lambda_, A*math.cos(6*Pi), color='green')\n",
    "    delta = 1.3\n",
    "    plt.scatter(t*lambda_/4+delta*lambda_, A*math.cos(2*delta*Pi), color='black')\n",
    "    plt.ylabel('Amplitude (ua)')\n",
    "    plt.xlabel('Distance (m)')\n",
    "    plt.title('t = '+str(t)+'T/4')\n",
    "    plt.show()\n",
    "    phi += Pi/2 # à chaque 1/4 de période, le déphasage d'amplitude de chaque point du milieu est de Pi/2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"431.75000000000006\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "legende = ['0', 'T/4', 'T/2', '3T/4', 'T', '5T/4', '3T/2', '7T/4', '2T']\n",
    "A = 1.5\n",
    "lambda_ = 2\n",
    "x = np.linspace(0, 5*lambda_, 256)\n",
    "phi = 0\n",
    "plt.figure()\n",
    "for t in range(9):\n",
    "    y = A*np.cos(2*Pi*x/lambda_ - phi)\n",
    "    plt.subplot(3, 3, t+1)\n",
    "    plt.plot(x, y)\n",
    "    plt.scatter(t*lambda_/4, A, color='red')\n",
    "    plt.scatter(t*lambda_/4+3*lambda_, A*math.cos(6*Pi), color='green')\n",
    "    delta = 1.3\n",
    "    plt.scatter(t*lambda_/4+delta*lambda_, A*math.cos(2*delta*Pi), color='black')\n",
    "    plt.ylabel('Amplitude (ua)')\n",
    "    plt.xlabel('Distance (m)')\n",
    "    plt.title('t = '+legende[t])\n",
    "    phi += Pi/2 # à chaque 1/4 de période, le déphasage d'amplitude de chaque point du milieu est de Pi/2\n",
    "\n",
    "plt.tight_layout() # ajoute de l'espace entre les Axes pour visualiser tout le texte (ticks et title)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"431.75000000000006\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "A = 1.5\n",
    "lambda_ = 2\n",
    "x = np.linspace(0, 5*lambda_, 256)\n",
    "phi = 0\n",
    "plt.figure()\n",
    "for t in range(9):\n",
    "    y = A*np.cos(2*Pi*x/lambda_ - phi)\n",
    "    plt.subplot(10, 1, t+1)\n",
    "    plt.plot(x, y)\n",
    "    plt.scatter(t*lambda_/4, A, color='red')\n",
    "    plt.scatter(t*lambda_/4+3*lambda_, A*math.cos(6*Pi), color='green')\n",
    "    delta = 1.3\n",
    "    plt.scatter(t*lambda_/4+delta*lambda_, A*math.cos(2*delta*Pi), color='black')\n",
    "    phi += Pi/2 # à chaque 1/4 de période, le déphasage d'amplitude de chaque point du milieu est de Pi/2\n",
    "    \n",
    "plt.xlabel('Distance (m)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support.' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"431.75000000000006\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "T = 2 # période en s\n",
    "t = np.linspace(0, 5*T, 256)\n",
    "phi = 0\n",
    "\n",
    "plt.figure()\n",
    "y = A*np.cos(2*Pi*t/T - phi)\n",
    "plt.plot(t, y)\n",
    "plt.ylabel('Amplitude (ua)')\n",
    "plt.xlabel('Temps (s)')\n",
    "plt.title('Amplitude en un point du milieu au cours du temps')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tests"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4SuuUvHVXJNNj/K99UgupUah5/odEtiUWcltvL96fOaDdF+xXH8vh5c1J+HV25Mt5AwnzMdy6WXJBNY9+f5Ks8nqenRDO/Fu6t+uz3KjS8tzG02xOKGBipA//mtG/1TPUtmAWgi+EsAbS0CeLzgOOA7OuFlrBlIIP+hHDZ3vTeX9nGmHenfhibgzBnoYT2ZbSqNLy7A+n2XKqgEmR3Xj37n5G6XyqGlQ8viaBfWmlBhfZ1nC+tI5/fnuCnPIGXp7Sh3k3BRnlB5uQW8XCVXFU1KtYelckMwwosq1hy6kCntlwCncnO76cF2OUGZaUkm8OZfHmtlT83Q0vsi1FpdHx2tZkYo/mMLJXVz6+N8ooJo06pYZnNpxie2JRu4jsBfIqG3jwuzhSCmtYPC6Mh0aFmrzzMRfBvxl4VUo5vun18wBSyismeja14F9gX1opj685iVYn+eieAYzp7W2ye+dVNjD/2zhSi2p4enwYC0ca94HR6iTLm8wokX5ufD432qT+zrtTi1m0JgE7Gys+nRNt9Cl5WZ2SR78/yeGMcubeFMjLkyOwszFNkFitTvKvX8/w5b4MBgW789mcGLp2Mq574fGsCh6KjadOoeGdGf24o/+V0vEanpJaBQ+tiudEdiULR4WyeFyYUV1lm8+Ku3d14Yu5MfTwMt1i/eHz5Tz8fTxqrY6P741idLiXye7dHHMR/BnABCnlA02v5wFDpJSPXFKu+U7bmOzstuaBvj5yKxpYsCqO5IIaHhvTk0VjehrdFnrofBmPfH9S/8DMimJ0mOkemF0pxTyxLgGtWkXDrk/JOb6DwMBAli5dyhwj7EzW6SSf7knng11pRPi68uW8gfh1djT4fS6HRqvj3V/P8uX+DKICO/P5nBijb1CralDx6OqTHDhXxrybgnhpch+TdTQlNQoe/j6e41mV/GNYCM9PDMfWQC6AVyIht4oF38XpF5Pv7sfkfqbraA6dL+PR70+i1Oh47+5+TOjbzaj3uzCbemNbKiGezqycF3NdThWGwlwE/25g/CWCP1hK+eiVzmmvEf4FFGotL25KYkNcHqPCuvLRPQOMsuAnpeTL/Rn86xf9yKS9Hpjl/13Nu4eqsPbwo+rAKmqOrMfJyYmVK1caVPSrG9U8tS6BXakl3DnAl7en92sXU9L2xEKeXn8KRztrPpltvNlFUn41C1bFUVyj4I2pfbl3cBtChlwnaq2OpdtS+d+hLAaHePDJ7Ci8Ohm+k5NSEns0h9e3puDlas/KeQPp42t6z7eCqkYWxsZzKreKBSNDWTyul8H83JvToNLw/MZENicUcFtvbz68p3+773MxF8HvMCad5lx4gF/bmoyPm37BL8LXcAt+NQo1i9edYkdKMZMiu/HOjH7tYnsEfbC6nIIiukx4DOc+I2lIO0zZtg8J7NaVLAOFo0guqGbhqngKqhp5aXIf7rvZOPb6lpJeUsv87+LILm/g+dvD+b/hIQatz9rjOby0ORlPZzs+mxvDgID29YjadDKf5zaexs3Rls/mRBMTZDjPkUaVliWbEtkYn2/UAVJLUWq0vLY1he+P5jCsRxc+vjfKoDt0M0rrWLAqjvSSOp4apze/moNHlLkIvg36RdsxQD76RdvZTYmSL4s5CP4F4nMqeWhVPJUNKt6aFsm06LYv+J3MqeTJdafIrWjg+Ym9+cew9vUTt7Ky4sL332ngHbiP/j80lYWUbXoLZWlWm66t00m+P5bDGz+l4O5kx6dzookJMg8/8VqFmsXrT/FrcjGT+3Xjnen92rxxqUah5rUtKfwQn8eInp4svzfKbPzEUwtrWLAq7mKna4hF8jNFNSxak8DZ4loWjenFo7f2MAvxA1h3IpcXNyXh6WzH53Nj6N/GTldKyaaEfF7alIydjRUf3xvF8J6eBqpt2zELwW+qyETgI/Rumf+VUi69WnlzEnzQ+3Q/8n08RzMrmBblx3MTw69rWqxQa/lgZxr/PpCBt6sDH8+KYlCwaXx0r0ZwcDDN10zs/SPoOvU5rO2dePHOAfxtaPB12X5zyht49ofTHM4oZ0RPTz68ZwCeZhYLRUrJF/syePfXMwR7OvPG1L4M63F9P+LfzhTzwsYkSmoVPDK6B4/f1svs4vpUN6h5Yl0Cv50pYXyENy9PibiuNRSVRr9x7JM953BztOW9u/szyoRrTy0lMU9vViutVfLIrT2Yf0v36zIjFlUrWPJjIrvPlBAT5M6KWVH4mmjtqaWYjeC3FnMTfNAv+C3ffY4v9p3H3saah0f3YPaQwBb5Oas0OtaeyOWT385RXKNk1uBAXpgY3u42vwvExsYyf/58GpqFo3Dp6sfNj31CWp0tPbxceHp8GLf19m6RgJXUKvhsz3m+P5qDvY0VSyb15p5B7evvfy0OpZfx3MZEcioamBjpw6O39mzxTtCTOZW8vyON39PLCPPuxL9m9GvzaNKY6HT6taPlu9MAePCWUP42NLhFMxGNVsemhAKW704jt6KRqQN8eWVKhNnMYi5HRb2KlzYlsS2xkEAPJ54a14uJkd1aNIiprFfx5f4MvjmUhUTy9Hj9zm1z68jBIvhGIbOsnte3JrPnbClOdtZMi/ZjTG9vBgV7/MEGfyEE6rbThfx0uoDiGiUDg9x5ZkK4yXbetYbY2FiWLFlCTk7ORS+d2bNnszu1hDe2pZBd3kCAhyP3DgpkeA9PInxd/7AYVqfU8Pu5MraeLmBXSjEaneTuGH8ev60n3dzMayR0JRRqLf8+kMGne87TqNZyc/cu3BXlx82hXfB3d7zYYUkpKaxWsDOlmC2nCojLrqSLsx0LR4Uy7+Yg7G3MNzZTc/KrGlm2LZVtiYXY21gxdYAv4/r4MCjE4w8DGa1OklpYw0+nC9l6qoD8qkYi/dxYPD6Mkb1alGDJLDiYXsarW5I5V1KHj6sD9wwK4JZenvTz7/wH8W9QaTiSUc7WU4X8mlxEo1rL1P6+PDk2jMAu5huq2SL4RiQpv5qvD2ax9VQBKq0OayuBX2dHnO1tUKi15Fc1otLosLO2YmRYV2YPCWRUr65mPcq9Ehqtjp0pxXx9MItjWRUAONlZ49vZEVtrK6obVBTWKJBSH+p1YmQ3/jE8hJB22LxmCKoaVKw5nst3h7MvhqD2dLHD08UeKfUzmMoGNQDhPp24K8qPuTcFmXXgsqtxrriWrw9l8WN8Po1qLUKAX2dHOjnYotRoKahqRKHWP+PDe3gya3Ag4yO8O+SzrNNJ9qaV8N/fs/g9vQwAB1srfDs7Ym9jTU2jmsLqRnQS3BxtmRDhwz+Gh7TL5rXWYhF8E9Cg0hCfXcWxzHKyKxqoV2qxt7XCr7MjEb6ujArzavft7YakpFbB0YwK4nMqKapWoNZKXB1tCPJwZmCwO0NCPIziBtceSCk5V1LHkYxyUgpqKK9XIYAuLvaEebswtIcnvTpQiO1roVBrScit4mhGBVnl9dQqNNjbWOHj5nDxWTZn001rKa9TciyzghPZlRRWN6LSSDo52BDg4UR0YGeGhnqabM+EIeiwgi+EKAUMsfPKEygzwHU6An+ltoKlvTcyf6W2guHaG9TSJOZmJfiGQghxoqU9Xkfnr9RWsLT3Ruav1FZon/Yabd4ihAgQQuwRQqQKIZKFEI8b614WLFiwYOHaGHO1SQM8JaWMF0J0AuKEEDuvFi3TggULFiwYD5OZdIQQm4FPpJQ7r1TG09NTBgcHm6Q+FixYsHAjEBcXV9ZSG75J/MmEEMFAFHD0MseaR8uk3bx0rpEe0YKFjsK10iNauLEQQrTY0cXogi+EcAF+ABZJKWsuPS6lXAmsBL1bprHrc1kuTYCena1/DRbRt9ChuDQBenZ1NvO36p9li+hbMHYsHVvgJ+BXKeUH1ypvSj98KSVni2vZn1bKka/Wk+XQmXo7J+y0anxqy4koPs+4mkwGH/7lhvAv12h1/J5ext6zpaQU1FBQrd8g5uJgQ6CHE4OCPRgf4WPSBBLGpLpRza9JRRzOKCe9pI6yOiVSgruzHT28XBjR05Oxvb1xv0H8yzPL6tmeWMi7e9ejUnXGSjqDUKMRFahFBp1cs0l76qcO5V9+JXQ6yZHMcn5LLSGpoJqCKgUKtRYXexv83B2JDnRnQl8fwn06dchNYq3FLPzwhf6T/gaokFIuask5phB8tVbHttOFrNyfQUqhfsIRWp5Lr7IcXBV1KG3syHPzIsk7FIWtA+5OtswZEsQDI0LMJhl2a6isV7HyQAYb4vIorVXiYGtFX183/N31OwxrlWoySus5U1QLQJh3JxaM6s6Ufr4dsqNLLqjm873n2ZFSjEqjw9PFnj6+rnh1skegz4CVWlhLUY0CayvB6LCuPHprT7OOgXMldDrJT4mF/O9gJvE5VQCoRQ5qkYdW1CKwxUZ2xU4XihVOdHKw4Z6BAcwf2d0osfGNTa1CzX9+z2Td8VwKqhXY2VgR4etKgLsTjrbW1Kk0ZJbWc6aoBp2E7p7O/POW7kyP9r8hOrorYS6CPxw4ACQCuqa3X5BSbr/SOcYW/L1nS3h1SzJZ5Q2EdnXm78NCGNPbi279e+vNOM1otLFn35DxbJz/EjtSinGxt2H+Ld1ZMDK0Qzw8CrWW//yeyRd7z1Ov0nBruDczYvwYHe512ZgvRdUKdqQU8f3RHM4U1RLi6cxLk3tza7jp0j22hbzKBt799SybEwpwdbBhWrQ/06L9iPRz+9MoT0pJckEN2xILWX0sh6oGNbeGe/HKlD4GTRxvTA6ml7FseyrJBTWEdnVm5sAApg7w46avw8muvsSkK20JchjHlKA32Ha6ADsbK+4fGsLjY3riaGf+8X/UWh3fHs7mk9/OUdmgZmSvrkyP8Wdsb+/L1r+sTsnOlGLWHMvhVF41fp0dee72cCb363ZDjvjNQvCvB2MJfnmdkpc2J7E9sYjuns48P7E3Y8K9/n/87ktt+ABOTrByJcyZw9miWj7alcbPSUX08nbh7en9iA40j9jul+NUbhVPrT9Fekkdt/X25pkJYS0OBaDTSXakFPP+jrOcK6ljSn9fXpnSx+zCG19ASsnqY7ks3ZaCVkr+MSyEB0eGtjisRZ1SwzeHsvhi73nUOh1Pju3FP4aFmO3splahZum2VNYcz8Xf3ZGnxvVian+/i8/ypTZ8ACdbJ1ZOWcmcyDlkltWzYvc5Np7MJ9DDibemRV53WGhTcLaolqfWJ5CUX8PwHp48OyGcSP+WJSSSUrI3rZT3d5wlKb+GMeFevHFnX7MLb9xWLILfjIPpZTyxNoGqRjWPju7B/JHdLx/VsAVeOr+dKebFH5MoqlGYVcabC+h0khW/pfPxb+fo6mLP29MjrztW+R/jntuxYlYUN4caN+F4a6moV/HE2gT2pZUyNLQL70zvR4DH9UU1LKpW8OKmJHalFjMkxIMVRkoJ2Bbisit5bPVJCqsbmX9LKItu63nZGO8t8dI5dL6MFzYmklXewMJRoTw11jgpAa8XKSX/+T2Tf/1ylk4ONrx5Z19uj7y+XLVaneTrg5m8t+Ms9jbWfDCzP2N6d4yZa0uwCD568fto9zlW/HaO7p7OrJgVbZBcm7UKNc9vTOSn04XcGu7FBzP7m4Vtv6pBL357zpZy5wBfXpva1yDB284U1fBQbDxZZfU8PT6cB2/pbhad3KncKhauiqOsXsWLk3ozd0hQm+slpWRjfD5LNiXSycGWFbOijJb3trX1+u5INm/8lEI3N0c+uneAQWaYCrWW17Yms/pYLjd19+DjWebRydUrNTzzw2m2nS5kbB9v3p4WaZBUhVll9TwUG09KYQ0PjQrlSTPr5K4XsxF8IcQEYDn6jFf/llK+fbXyhhL8WoWaJ9aeYldqMdOj/Xnjzgic7AzngSql5NvD2by5LQVvVwc+nxPT4mmmMUgu0Gf3KapW8PKUCOYOCTSorbJOqeHZph/gbb29eH/mgHaNBLrmWA4vb06mayd7Pp8bTT9/wy64nimq4aFV8WSV1/PMBH0n116230aVliU/JrLxZD63hnvx4cwBuDkZ9rPfEJfHi02d3Kezo9s1b8P50joWfBfH+dI6nh4fzoKRhv3sFWotr25JZs3xXG7u3oWPZ0XRtZN5mitbilkIvhDCGn1O27FAHvqctrNbPqvNAAAgAElEQVSuFlrBEIKfWVbPP789QWZZPS9O6s39Q42XN/ZkTiUPx8ZTXq/inen9uDPKzyj3uRqbE/J59ofTdHa047O50UZbW5BS8s2hLN7clkqAhxNf3RdDDy/ThghWaXS8siWZ1cdyjJ43tlah5rkfEtmWWMikft14d0Y/gw4aWkJeZQPzv40jtajG6HljzxTVsHBVPLkVDbwypQ9zDZD3trXsTi1m0ZoEbG2sWDEryqhrC+ub8t56ONuxct5Akw/YtDpJYXUj/u5tT6xiLoJ/M/CqlHJ80+vnAaSUb13pnLYKfmF1I+M/3I+1leDT2dEMNcFiVFmdkodi4zmWWcE/R4Tw7IRwk0wTtTrJu7+e5Yt95xkc7MGnc6JNMlI5nlXBwlVxKNQ67vSpYtU7z/4hW9YcI21UK61VsnBVHCeyK1k4KpTF48KMnm5OSn1KwHd+OUO4jysr58Vc9xpBazmSUc5DsfGotTo+vjeK0eHGzxtb3ahm0ZqT7Dlbyr2DAnhtaoRJsnhJKfls73ne23GWCF9Xvpw38Lry7baWpPxqHvwujrI6pUkHbDUKNYvWJJBcUM2OJ0a2ebZsLoI/A5ggpXyg6fU8YIiU8pFLyjUPrRCTnd22cPhf7DvPpMhuJvthgt5t7I2fUvj2cDYjenqyYlaUUe361Y1qHl9zkr1nS5kzJJBXpkSY1FW0oKqRGct3UNBoQ9WBVVQfWgtInJycWLlypcFFPym/mvnfnqCiQcW/ZvTnjv6+Br3+tdh7toRHV5/Exkrw6ZxohoYabyAhpWTV0Rxe25JMYBcn/n3fQLp3Nd1mOK1O8sHOs3y65zwxQe58PicaL1fj2fUbVBqe3qA3F04d4Mvb0/qZ1FXU1AO286V1/PPbE+SUN/DKHYYxv5qL4N8NjL9E8AdLKR+90jkdKePV5Vh7PIeXNiXj4+bAV/cNNEp6tPSSOuZ/e4KcigZevSOCuTcFGfweLSE4tCd1ve/Ape+t1J89SPm2D5FqBUFBQWRlZRnsPpsT8nlmw2m6ONux8r6B9PVrn7USU5gKm5usRod1ZfmsKFzbKeH9ttOFLF5/CldHG76cN5ABRtiY1txk9dyEcOa301qJqQZsv50p5vHVCdjZWPHZnGiGGMghwFwE3+QmHXMgLruShaviqFNqWHZXpEGniRvj83hpUxIOttZ8PjemXRfXrKyskFLSadCduI/6O+ryPMq2vIOmPBedTnftC1wDhVrLm9tSWHUkh0HB7nw+N6bd9wI0dwaYFuXHa1Mj6GQgQc4qq+exNSc5nVfNQ6NCecoEJqtrkVJQw/zvTlBSq+TlyX2YY0BngF+Sinj2h9PopOTjWVGMvk73YUOy5lgOL21OopubIytmRRls97VKo+P9nWf5cl8Gff0Mb7IyF8G3Qb9oOwbIR79oO1tKmXylc24EwQcorlHwcGw8J7IrmdLflzen9m2TZ0VVg4rXtqbw48l8Bgd78NG9A9p980hwcDAXzG8OwQPwnLwYK3snxOnNZPzydZsWF5MLqnlibQJpxXXMv6U7i8eFmc3u5gt7HZbvTsPP3ZEPZw5gYPD1d7xSSjbE5fHqlmSsrQT/mtGPCX2vz9/cGFTWq3hszUkOnCtjTLgXb0/v16a1ojqlhre2pxJ7NIdIPzc+nhVlVknv47IreeT7eEprlTw+picLR4W2ycSTXlLHU+sSOJVXzewhgbw0qY/BTVZmIfhNFZkIfITeLfO/UsqlVyt/owg+6IOVfbHvPB/tOkdnJzueHt+LGTEBrRq16XSSDfF5vP3zGaob1Tx2a08eubVHu4/8AGJjY5k/fz4NTbuTrZw64zX5CexDYogK7MzLk/sQ1UqPoRqFmg92pPHt4Sw8nO15f2Z/RvZqUZhvkxOXXcGitQnkVTZyz8AAnhoX1mohTCuu5aVNSRzNrGBwsAcf3jvAJIuVrUWnk3xzOIu3fj6Do601i27rydybgrBthRBKKdmWWMgbP6VQUqvkgeEhPD0+3Gw68uZUN6h5aXMSW04V0LubKy9P7tPqTYeNKi0rfjvHVwcycLKz4e1pkde9cexamI3gt5YbSfAvkJRfzStbkonLrqR3N1ceGB7CpH7dLrtD8gIqjY4tpwr4an8GZ4triQly5807+9K7W9s3jhmS2NhYlixZctFL5803l+LQeyTv/HKG0lolEyN9+NvNwQwO8biqKaC0Vsm3h7P47kg21Y1q5g4JYvG4MIP7mxuaOqWGD3em8c2hLBxsrZl3cxCzBwde02EgKb+aL/dnsD2xEBd7G567PZx7BgaYxYa2q5FeUsurW1L4Pb2M7l2deWB4d6YO8MXZ/sruqhqtjp+TivjqQAan86qJ8HXljTv7mnVokgv8nFjIm9tSya9qZEy4F/cPC2ZYqOdVv6eqBhWrjmTzv0PZlNUpmR7tz/MTw41qjrQIvpkhpWTLqQKW7z5HRmk9nZ1sGdGzKzGBnenl0wlnOxvqVRqyyho4mF7G7+llVDeqL0aubB4rpSNQp9Tw+d50vj2cTa1CQ2hXZ4aGehId1JkAdydsrK2obFCRUlDD/rRS4nMq0egkY3t78+itPdt1E9v1cL60jnd/OcuOlCIkMCTEg0HBHvTz74ynix06KSmuUXIiq5ID50o5V1KHi70NswYHsGBkqEF2kZoKKSW7Ukt4f8dZzhTV0snehhG9PIkOdKd3N1dc7G1oVGvJLq/n0Plyfj9XRnm9ihBPZ+bf0p27Y/w71O5WhVrLvw9k8N+DWVTUqwj0cGJYD0+iAzsT7OmMrbUV1Y1qzhTWcOBcGceyKlBpdIzs1ZVHbu3BoDaY+1qKRfDNFCklh8+Xs/ZELkczKiiqUfypjLerPSN6dmVyv26M7NW1Q0f3a1Rp2XqqgC2nCjiZU0m9SvunMn26uTKilyczBwYQakL3Q2NQUNXI6mM57DlbQmphLVrdH39b9jZWDA7xYHSYFzMG+rebB44hkFISn1PJ6mO5HMkoJ6+y8U9lPF3sGN7Dk9sjuzG2t3eHGrRcilKj5efEIn48mU98TiW1Cs2fyvTydmF4j67MHORPuI/pZuMdVvCFEKVA2xzx9XgCZQa4Tkfgr9RWsLT3Ruav1FYwXHuDWprT1qwE31AIIU60tMfr6PyV2gqW9t7I/JXaCu3T3o5jTLNgwYIFC23CaIIvhAgQQuwRQqQKIZKFEI8b614WLFiwYOHaGDP8nwZ4SkoZL4ToBMQJIXZeLVqmAVlpgnuYC3+ltoKlvTcyf6W2Qju012Q2fCHEZuATKeXOK5Xx9PSUwcHBJqmPQamogPx8UKnAzg78/MCj/cIeWLBwvVQ0VpBfk49Kq8LO2g4/Vz88HC3PsjkTFxdXZlaLtkKIYGA/0FdKWXPJMYNGyzQ518iHa8FCR+Fa+XAtmCdm5ZYphHAB9gFLpZQbr1a2I/rhl4T3I7tOS4OdA/YaFb41pfhXl2AVFAgGjBppDuh0kszyeoqrFah1kk4ONgR5OHWojUOtQaHWkl5SR0W9CiGgi7M93bs6X3WXdEcm+IO+FFVpETghUaMV5WhEIUGdA8lalNXe1TMoUkqyyxsoqG5ErZW42FsT4OFkFikeW0trBN+oKXyEELbAD0DstcS+IxGfU8n6E3kcySgn884/B/90a6zltvRjTDlbwvAenh1qZ+GlqDQ6fk4qZHtiIUczK6hqUP+pTIinMxMjfbijv59RQkKbkrI6JWuP57LvbCkJuVWotH+M/GltJYgJdGdK/25MjOzW4Tu75IJq1h7P5dD5cih5B59LjutooL70ODtTihnZq6tZxr5pKVqdZGdKEVtPFXI0s5yyOtWfyvi7OzIxshtT+vnS18+1Q298vBzGjJYpgG+ACinlopacY+4j/N/OFPPx7nQScqtwtrPm5tAuDPn+C8LSTuKsaqTR1p7czj4c9+vDzrCh1No5EtzFiUW39WJKf1+zCHrWUhRqLf87lMXXBzMprlHi19mRoaFdGBTiQYC7E3Y2gupGNekldRw4V8bB9DJ0Ekb26sricWEdLjxCflUjy3elsSmhAJVGRz9/N27u3oUBAZ3x7GSPlFBSqyCloIYdKcWkl9Rhb2PFvJuCWDAqtN1DN7eWQ+fLWL7rHEczK3CwteKm7l3Ym7+SYlUCknoEdlhLb+x14XTSDQPpgq+bA4+O6cmMGP9WBU5rb9RaHd8fzWHl/gzyqxrx6mTPsB6eDAnxILCLE/Y2VtQoNGSU1nMwvYz9aaVodJIhIR4sHh9mkvAIbcEsTDpCiOHAASARuDBMekFKuf1K55ir4GeW1fP61mT2nC0luIsTfx8WwvQYf1zsba5ow1d8sZLfBtzKit/SSS2sIdynE+9M72ewGNvGZFdKMa//lEJORQMjenryj+EhjOzZ9apb40trlayPy2Xl/gyqGtTcOcCXV6ZE4G6knLOGQqHW8tX+DD7dm46UcPdAf+4fGnzVfL1SSlILa/nvwUw2xufhYGvNk2N78fdhIWbfqRdUNbJ0WyrbEgvxdXPg/mHB3DMwEDcn2yva8D+ftBJf29v4ZI9+sBPi6cxb0yK5yUAJPIzJofQyXtmSzLmSOgYHe/CP4cHc1tv7qrPuqgYVG+Pz+XzfeUprlYzr482bd/Y1auavtmAWgn89mKPgbzqZz3MbT2NjZcWi23ryt6HBfx7dxMbCkiWQkwOBgbB06cUFW51Osj2pkDd/SqWkVsH8W0J5YmxPk+QKbS1KjZZXt6Sw+lgOPbxceO2OiFYnkq5VqFm5P4Mv9p3HzdGWN+/sa1bx3ZuTW9HAg9/FkVJYw8RIH5ZM6tPq8MTnS+tYui2V386UEB3Ymffu7m/SlIStYWdKMU+uTUCt0/HwqB7885buf1qPiE2MZcnuJeRU5xDoFsjSMUsvLthKKdmdWnJxMHDfzUE8d3u4yZO7twSNVse7v57ly/0ZBHg48srkCMb09mqViaZRpeXrQ5ks33UOexsrXp4SwfRoP7Mz81gE3wCoNDqWbU/lf4eyGBziwYpZUXi3oYevUahZti2VNcdz6R/Qmc/mRJtV7POCqkYWxsZzKreKhaNCeXJsrzZN288U1fD0+tMk5ldz/9BgXpjY26zsv3vPlvD4mgSklHwwcwC39fG+7mtJKdmcUMCrW5NRa3S8e3d/Jhop9vn1oNVJPtyZxid70unn78ans6PblPO5QaXhvV/T+PpQJr28OvH53Giz6uTK6pQ8+v1JDmeUM++mIJZM6t2mhfbMsnqe3XCaY1kVTI/25807+5o07+61MBvBF0JMAJajT4Dybynl21crby6CX1Kj4KGmjFUPDA/h2dvDDWaz/CWpkMXrT2NrLfh4VhQjerZ/go9D6WU8uvokSo2O9+7uz4S+ly7dXR9qrY63fz7Df37PJDqwM5/OiaabW/t2cjqd5JM96Xy4K41wH1e+mBtNUBfDZFwqqlbwUGwc8TlVBn9urpfKehWPr01gf1op9w4K4NU7IgzmZXTgXCmPrT6JRit514DPTVs4mVPJQ7HxVNSrWHZXJNNj/A1yXa1O8vHuc3z82zmDPzdtxSwEXwhhjT7F4VggD32Kw1lX22lrDoJ/LLOCh7+Pp16p4Z3p/ZjS39fg98gorWPhqnjSSmpZPC6Mh0aFtss0UUrJyv0ZvPPLGUK7uvDFvBijhCjedrqQZzacwsHWmk9mR7c6e5ChqG5U8+TaBHafKeGuKD+W3RVp8JFa85nhoGB3Pp0T3W6ufkn51SxYFUdJjZLXpkYwa3Cgwe+RX9XIQ6viOJVXzYKRoTw9vn1y8Uop+f5YDq9tScHbzZ4v5sYQ4Wt4x4E9Z0tYtCYBnZR8dM8AxvS+/pmhoTAXwe9QScyllHx9MItl21MJ8HDiy3kx9PI2nothg0rD8xsT2ZxQwO19fXjv7v5XzRxkaOqUGp5ef4qfk4qYFNmNf83oZ9T7p5fU8uB3cWSVN/DipN7cPzTYpJ1camENC1bFkV/ZyEuT+3DfzUFGvf/mhHye+yERN0dbvpgXwwATL9avO5HLi5uS8HS247O5xr2/UqPl9a0pxB7NYURPT1bMiqKzk+kW6xVqLS9uSmJDXB6jwrry0T0DjHr/3IoGFsbGkVxQw5O39eLh0T3aNda/uQj+DGCClPKBptfzgCFSykcuKdfuO22bi+/YPt68P7O/SZJTSCn5z++ZLNueSg8vF766b6BJponNxfe5CeE8MCLEJOJbq1Dz5LpT7EwpJqqzipMrnyYnK4PAwECWLl3KHCPtTN6ckM+zP5zG1cGWz+ZEtynpeGtIKahh/ncnKKlV8uadfZk5MMDo91RqtLy2NYXvj+YwNLQLK2ZFmWyvwJpjOby8ORkfNwdW3hdjkiQgF8Q3Kb+Gx8b0ZNGYniYRX4Vay/MbE/nxZD4TInx4b2Z/vddeO2Augn83MP4SwR8spXz0Sue0xwg/s6yeBd/FXTSvLBwZavLe+vdzZTyyOh6dTrJidrRRE3f/nFjI4vXtZ17R6SQPfPQDv5U4oixIo3TTUrS15Tg5ObFy5UqDir5aq2PptqaF92APPpkTZXLzSmW9ikdWx3MwvZz7hwazZFJvo9n1my+8LxgZyuJxvUy+6S8uu5KFq+KoU2p4z8iL1/vSSnl8zUm0uvYxr0gp+W+TVaC7pzNf3TeQYE/T2/XNRfDN3qTzS1IRT284hbWV4ON7o7jFiEJ7LXIrGvjntydIK67lmQnhPHhLd4OOulUaHe/+eoavDmQSFaj3EmqvBdTg4GBKbH3wnPwUUqOk9Me3UOanEBQURJaBwlEUVDXy2OqTnMiu5B/DQnh+YvstoGq0Ot75Rf/ZDwnx4LM50QYfde9PK+WJtQko1Fren9m/XV1hi2sULFylX7x+eHQoT441rF1fq5Os+O0cy3efI8y7E1/MjWkXob3AwfQyHv5eP2D7eFYUo8K8THp/cxF8G/SLtmOAfPSLtrOllMlXOsdUgq9Qa1m2PZVvD2cbxE3NUDSoNDy94TTbThcyPsKbZXdFGkQYcisaeGT1SU7lVjHvpiBenNy7XfcBWFlZIaXEtksAXae9iI2bN1UHvqP2+CZ02j/nCm0tu1KKWbzhFGqNjmXTIpk6wM8AtW47P57M47kfEvFwtuP9u/sztJV7HC6HWqvjg51pfL73PD29XPh8bgw9vNrfRVKp0fLK5mTWHM9lRE9P3p3RHx+3ts+uimsULFqTwOGMcqZF+bHUCAvv18OFAdvZ4loeHtWDx8b0NJkbslkIflNFJgIfoXfL/K+UcunVyptC8I9lVvDCj4mkl9TxwPAQnpkQblb+4Rfs+v/65SyujjYsvSuScX28r2u0r9VJvjucxXs70hAC/jW9H7ebgX94cHAwF9ZqhL0zXW5/DOewYVB6nj3v/B8h1zlaq6xXsXR7Khvi8ojwdWXFrCiz8g8HvefMY6tPklFWz9+HBfP0+LDr3riUmFfN8z+eJim/hlmDA3h5coRZiN8FpJSsOZ7L61tTsLUWvD61L1MH+F7XsyylZH1cHsu2p6JU63h9agQzYvzNahNUg0rDy5uTLz5/78/sb5J1DLMR/NZiTMHPrWjg493nWB+Xh19nR5be1dfkU6/WcKaohifWniK1sIbhPTx5YWJv+vi27OGRUnL4fDnv/HKGU3nVjOjpybK7Is1iFgMQGxvL/PnzaWgWjsI9ajxeEx5BK6y47+ZgHr21R4s9LRRqLevj8vhwZxo1jWoeGNGdRbf1NNuolo0qLW//nMo3h7Px6mTP4nFhTI/xb7HZo6hawWd701l1JJsuLva8fkeEWXTkVyKzrJ4n1yVwMqeKgUHuLJnUm6hA9xafH5ddwb9+OcvRzAoGBbvz1rR+ZjGLuRK/JBXxwo+JVDWouGdQIE+O7UXXTsZbOLcIfhNKjZajGRVsjM9j6+lCrIXg/mHBLLqtp1luB78UlUbHqiPZfPzbOaob1Yzo2ZV7BwUwprfXZU0y5XVK9pwtZdWRbBJyq/DqZM+Lk/swpV83sxoJgV70lyxZQk5OzkUvnbFTpvPBzjTWncjFyc6GKf19uWdQAP393f5Ufykl50vr+CWpiG8OZ1Naq2RQsDtv3NnXJKMqQxCXXcmb21I4mVNFoIcT9wwKYHq0/2VNH2qtjuNZFWxJKOCH+Dx0EmYNDuCZCeEm8ShrK1qdZN2JXN7fkUZZnZKbuntw76BAxkf4XHZWUt2gZm9aCd8fzeFoZgXuTrY8OyGcmQMD2tUFsqVU1qtYvvscq45kY2MtmBTpy72DA4gJdDd4/f+ygn9h00udUkNBVSOncquoV2lxsrNm9uBAHhjR3SB2RFNT3aDmvwczWX8il4JqBQ62VvT1dSPQwwkHO2vqFBoyy+pJKqhGSgj0cOLBkd2ZHu1vtqPcq3GmqIZ/H8jkp9MFKNQ6PF3sifB1xdvVHmsrQXmditSiGnIrGgEY1qMLD4/uwc3du5hdx3YtpJRNnVYWRzIqAAjt6kwv7050drJDo9VRVKMgIbeKWoUGexsrZg4MYP4t3c1mxtYa6pUavjmcxZpjueRUNGBnbUWEnytBHk442dvQoNSQVd5AYn41Wp2km5sD/xzRnXsHB3SIQdqlZJbVs3J/BltPFVCn1ODuZEtfPzd8XB1wd7bjhYm923yPv6zg63SSAa/vwNneBm9XB/r6uTIm3JubQ7t0SOG7FK1OcuBcKXvPlpJSUEN+VSMKtRYne2sCPZwYFOzBmHBvInxdO8Qo6FrUKNT8kljE4Yxy0oprKatTotVBZydbenR1YUQvT0aHeeFrRjGJ2kJWWT3bkwqJz64ko6yemkY1NlZWeLna06ebK6PDvRjew9OkG/SMhU4nOZJZzp4zJSTmV5NX2UijSoujnTX+7o7EBLkzprc3/f07m30E0pbQoNLwa3IRh9LLOVtcS0mNElsbwYFnbm3ztTus4AshSgFD7LzyBMoMcJ2OwF+prWBp743MX6mtYLj2BplVTltTI4Q40dIer6PzV2orWNp7I/NXaiu0T3uN5o8ohAgQQuwRQqQKIZKFEI8b614WLFiwYOHaGNMYqAGeklLGCyE6AXFCiJ1Xi5ZpwYIFCxaMh8lMOkKIzcAnUsqdVyrj6ekpg4ODTVIfCxYsWLgRiIuLK2upDd8ky/1CiGAgCjh6mWPNo2XS3vHwTc5V0iNasNCRuFp6RAvGQwjRYkcXowu+EMIF+AFYJKWsufS4lHIlsBL0bpnGro9ZcWkC9Oxs/WuwiL6FDsWlCdCzq7OZv1X/LFtE33wwdiwdW+An4Fcp5QfXKm8OGa9MQYNKQ0JuFfGPLiFTOKGwtcdBrcSvpoTBuckMtKrDISO9vatpMEpqFMRlV5KQW0VRjQKNTuLmaEt3T2eG9fAk3KdTh9swdSV0Okl6aR1x2ZUkF1RT2aDGWoiLm8dG9PTEqw25kc0NhVrL6bxqZsY+S12jMwIHJGq0ogSFVSre7tVkPXGuvatpMMrqlMRnV3Iyt4rCqkbUOkknextCPJ0ZGurZLntgzMIPX+h/wd8AFVLKRS0550YX/ITcKlYdyWbrqQKUGh0A3WpKcVY10mDnQJFLF3RW1jiolYwdGML8Ed2J9Dd8mjZToNLo+DW5iFVHsjmaqd9BamdjRTc3B2ysBJUNairqVQB4dbLnnkEB3HdzsFFjjhiT8jol607kEXs0m7xK/Q5gVwcbPDvZo9NJimuUNKq1AET6ufG3ocHc0d/XrAL3tYaUghpWHc1m08l8GlT6dmkoR4oGBPZYyy4IrJGomRDhzz9HdDdZ4hlDo9Hq+O1MCd8dyebAOb3bvK21wMfNATtrK6ob1ZTV6Z/lLs52TI/x5+/Dgk0WftxcBH84cABIBHRNb78gpdx+pXNuVMFPL6nljZ9S2ZdWirOdNXdG+TG2jzdRk0filn7mYrl6WweOBvRlz4DR/Nh3DHVKDSN6evLy5D70NGK6RUMipeTX5GKWbU8lp6KBAA9H7h0UyLAenvTp5voHgSuqVrD/XCk7kovYfaYEW2sr5g4J4omxPenUAeLDgD4Q2pf7z/PFvvMo1Dpu6u7BtGh/Bgd7ENTF6eLMRaeTpBbVcOBcGT/G53O2uBYfVweeGtfL7KI+Xo2c8gbe+jmVn5OKsLexYkp/X27v68P//Xwr2bX/3wFPSDvsdRF424ymM+OpalAzMMidV6ZEdKhBzL60Ut74KYX0kjp8XB24Z1AAt/TyJMLX7Q+790trlfyeXsrOlGJ+SSrCSgjuHhjAM+PDcHc2brpHsxD86+FGE3yFWssHO9P4z++ZONlZ8+itPZg9JOj/p0K71IYP4OQEK1dSM30mq4/m8Nne89QrNWYfARL0EUmf/eE0h86X08vbhWcnhDM6zKtFU9zzpXV8ue886+Py6Opiz8tT+jC5n+ETyBuSPWdLWLIxkYJqBZMiu7Hotp4t6pillOxLK2X57nOczKliULA7y+6KNOtOXa3V8emedD7bcx5rK8GCkaH8bWjQxYiml9rwAZxsnVg5ZSV3hd3DuuO5fLLnPBX1SubdFMTi8WFm3amX1Ch44cckdqUWE9TFiWfGhzM+wrtFGcRyKxr46kAGsUdzcHWw4fnbe3P3QON16hbBNwPOFNWwaE0CZ4pquXdQAE+PD7t8MpNreOmU1yl555czrDuRRy9vF1bMiibMx7yEQUrJjyfzeXmzPrfNMxPCmD048LrS653KreLFTUkk5ldzV5Qfb9zZt91yhV6JRpU+gc53R7IJ8+7E61MjGNK99akidTrJhrg83vo5lQaVlhcn92HukECzG+1nltXzxNoEEnKrmNLflyUTe182COG1vHSqG9V8uDONbw9nEeDhxMf3RtHfxMndW8IvSUU8v/E0jWoti27rxd+HBV9XwqCzRbW8uCmR41mVjO3jzb+m9zPKaN8i+O3MD3F5PP9jIq4Otrw7ox+jw9sed39/WilPrjtFrULNa3dEcO/gQAPUtO0o1Fpe2gCHZuMAACAASURBVJTE+rg8Bgd78P7M/m2O4qjVST7dk85Hu9II8HDisznRRPiahxkgp7yB+d+d4ExRLQ8MD2Hx+LA2z7rK6pQsXn+KvWdLGR/hzXt39zeb0e+vyUU8uTYBG2srlt0VyaR+bY+7fyKrgsfXJFBco+C528P5v+EhZtHJabQ6lm5P5euDWUT6ufHhPQPaHHf/QkKjd345Qxdnez6ZHWXwtQyzEXwhxARgOfqMV/+WUr59tfIdXfA1Wh3Ltp/hvwczGRrahRWzogyau7S0VsmT6xI4cK6MeTcF8fKUPu2WpxX06eYe/C6OhNwqHvt/7J13eFVV1offk04qaSQhpJBCSAOSICBVpAoCghRp6swogoii2LErtrGLoMyMMwqhShWxoHSQkkoSUknvvef2/f1xgx8ipJB7kxvN+zw+cm9O2QdOfmeftddavwn+PDbBX6edDS9kV/LotliqGhW8N29wl4d4TqVrvUsBPl2oWw9kjUbw5eks3v4+Be9mQ+ybdf7S1Xg+/kXrGzvYozefL9GtB3JNo5Jndl/kh6Ri7hrSl7fvHtSl4crKBgWPbI3hzOUK/jbKm+fuCNTpgnpiQQ0rt8ZQWN3EqzNDWDRcdxM2gxB8SZKM0XraTgLy0XraLmyptYIuBF+l1txUKKGjVDUoWHnVDbN2WqBexqHWCN79MYUvjmcyrL8DG/VgiN0WonOqWL4lmka5ivfnD2FqiKtezlNWJ2fFlmiicqpYOd6XNZMCOj3t7cos7c1Dyfj3seFf9w7F01E/veh/vVzByq0xqNSaLjHEBqiTKXliZzyHL5UwL6Ifr98VohcxFkKw4dhl3vsplZC+dmy6N6LTMluu5lJhLcs2R1FaJ+fN2aHMjeinl/PUNCpZtT2WE2llLB7uycszgnXyUGmP4OtTGYcBGUKITCGEAtgOzNLj+aiXq5ix/jRf/5pNZ4aqkotqmbH+FFE5Vbw3bzAvzwjW20PH2EjiuTsC+fieIcTnVTNz/WmSCmv0cq4bseNCLgs3ncXSzJi9K0fpTewBnG3M2frgCBYO8+Czo5d58Oso/vN1JN7e3hgZGeHt7U1kZKTezi9TqnliZzxvfJfMlGBX9jw8Um9iD3CrryP7V47C3d6Sv//vAl8cv9yp93JWeQOzN5zhSEopr8wI4t25+pt5S5LEyvF+/GvpULLKG5jx6Wmisiv1cq4bcfBiIXdvPINKLdj50K16E3sAO0tT/nv/LTw0zofIc7ks/vdZ6mRKvZ3veuhT8N2BvKs+5zd/9zskSVomSVKUJElRZWVlHTqhRmgdcl7an8SzuxOQq9QdOl5b+O5iEXM2dM4NczWzhrjzzfKRaITg7o1n2B9XoPdzKlQaXtqfyDO7Exju48D+laMY0AmZJWYm2vjx67OCOZpSwsun6imoUyOEICcnh2XLlulF9Aurm5j3+a/siyvgyckD2LA4vFPMRzwcLNm94lbuCHHjre9TeGx7HI0Kld7Peyy1lFnrT1FRL2fzP4Zx/6jOia1PDHJh38qRWJsbs/BfZ4k8l6P3h5xaI3j3hxQe2RpLUF9bDqwaxZBOWEC+esLmZtcLq0528dJnSGceMEUI8UDz56XAMCHEqhvto4uQjloj+OBwKp8dvUy4Z28+XxKhl8pGpVrD29+n8J9TWUR42bNxSTh9bDq/grKsTs7KyBjOZ1fyt1HePD8tUC9x/aKaJlZGxhCTW82ysT48PSWgS0Jn3sMmoR5+P5KJGRWHPqIx7QwAXl5eZGdn6+w8J9LKWL0jDoVKw0cLhjAxyEVnx24rV4c8Alxs+HxJBN56iOurm+P1nx5JZ6CrLZuWRnSJfWJNo5JHt8dyPK1Mr6Gkino5j22P41RGOQuHefDKzOCbysIxFAwlhn8r8IoQYkrz5+cAhBBv3WgfXS7afnexiCd3xWNjYcJHC4Yw0s9JJ8cFbcHQyq0xROdUcf9Irch2ZcWkUq318v3v6Wxu8bbns0XhOn3InUwv47HtcciVat6ZO6hLF0+NjIwwsnbA+a7nMO87kJpzu6k+/hUSAo1G0/oBWkGtEXx6RLtYGeBiw4bF4fg4dyxTo6OcSCvj0e2xqDWCD+fr9uFTUS9n9Q5tIsDd4f14466Q65qKdxZqjeDjn9P45EgGIe62bFys24dPdE4lKyO1iQCvzwph/i0eOjt2V2Eogm+CdtF2AlCAdtF2kRAi6Ub76DpLJ7molpVbY8gqb+Dh23xZPXFAh2e/P18q4ZndF5Ep1bx99yBmDDac4qD9cQU8uzsBSzNj1s0O7XBsXa5Ss/5IBuuPZuDfx5qNSyLw7WLx8/b2JicnB4xNcJiwDJuwacgKkrGI20l2wvkOHbuwuolndl/kZHo5c8LdWXdXaJeK39XkVTayIjKaxIJa7rvVi2fuGNhhU+8zGeWs2RVPRYOC12YGs+AWD4NIjwTt79njO+OQgFdmBjM7zL1DY1OpNfzrZBbv/5RK39692LjEcFJ9O4pBCH7zQKYBH6FNy/xSCLGupe31kZbZqFDx6oFL7IjKw7+PNW/cFXJTRTJldXJe+TaJ7y4WMdDVhvWLwjuco6sP0krqeHxHHEmFtcwa0pfnpwXichOz/eicSp7ZnUBGaT1zI/rx2qzgDguMLoiMjGTZsmU0NlcnWwaOw3HyCsx7WfH0HUHcO9Kr3a/nao1g67kc3vkhFbVG8NKMIO4xIPG7gkyp5p0fUvjv6Wy8HS15465QRvu3/821ulHBm4eS2RmVT38nKz5dGEaIu+GJX05FA2t2xhOVU8XEQBdenhF0U7P9xIIant1zkcSCWqYGu/LO3EHY9TKMOgddYDCC3170mYf/S3IJLx9IIr+qiWmhrjw01rdNVX4V9XI2ncxk8685qNSCVbf78dA4X4NuenWlDP6zoxkYG0n8bVR/Hhjdv03pm4kFNXz8SzqHL5XQ186CdXNCGd8FqYEtERkZydq1a8nNzcXT05NnXnmTKPz5JaWUfva9eGLSAO4c1HpjMrVG8F1CEZ/8kk5GaT1j/J14c3Zol8Sv28PZzAqe/uYiuZWNjPF34olJAxji0bvVB1RNk5IvT2Xx5eksGhVqHuwG7TrUGsGXp7J476dUhIDFIzxZMc63TSHL9JI6PjmSwcGLhThamfHqzBCmhboa3IO8o/QI/g1oUqjZePwy/z2dRZ1MRbhnbyYEujDazwl/F2sszUxQqTUUVsu4kF3JD0nFnEgrQ6HWMHNwXx6b4N/l8dz2kFvRyPuHU9kfV4iJkcT4gX24c5AbYR729O1tgYmxETKlmozSek6ml/NDUjHxedXYWpjwj9E+/GNMf4Nra3AjhBCcTC/nnR9SSCqsxd7SlJmD+zIxyIVAN1scm0vaqxuVXCqq5efkEn5MLKawRoZ/H2sem+jP9FC3biMGMqWaLWdz+OxoBlWNSga4WDM7rB+j/BzxdbbGytwEtUZQVNNEdE4VPyWVcDS1lEaFmslBLjw+aQCBbrZdfRltpqimiY9/TmdnlDbxb4y/MzMG9yXCy55+9r0wbb6XsysaOJVezg+JxUTnVmFpasy9I715aKzPb31//mz0CH4r1MtVbD+fy56YAi4V/b8ni6mxhFL9/38fbnYWTAl2ZckIL4MM37SV9JI6dkXnsze2gLI6+W/fX3u9g/vZMS3UjYXDPbE1kNL+9qLRaBuTfROTz+FLJSia21AbSWAkSag02us1MzFirL8zc8LdmRrs2unFXLqiTqZkf1whe2Lyicmt/u17U2PttV759XayNmdysAuLh3t269h1dnkDu6Lz2BtTQGGN7Lfvr72XA91smRbiyuIRXjjouVtlV9Mj+O2grE7OuawKcioaqZerMDPW9mwP7mvXJWYG+kSl1pBcVEdSYQ1FNTLkKg02FiZ4OlgS7mWPe+/Or3LUJ/VyFXG51aSX1lFRr0AgsLc0w7ePNcO8HTolp74zKappIja3muyKBupkKkyNjXCxNSfIzZZB/XrrtO1FV6PRCFKK60gsqKGwpgmZUoO1uTEeDpYM8eiNl2PXtaXobLqt4EuSVAa02Z+xBZyAch0cpzvwV7pW6LnePzN/pWsF3V2vV1tNzA1K8HWFJElRbX3idXf+StcKPdf7Z+avdK3QNdert1QTSZI8JEk6KklSsiRJSZIkPaavc/XQQw899NA6+gxiqoA1QogYSZJsgGhJkg631C2zhx566KEH/dFiSEeSpH7APcAYoC/QBCQC3wHfCyHaXMsuSdJ+YL0Q4vCNtnFychLe3t5tPWQPPfTQw1+e6Ojo8g7H8CVJ+i/a7pYHgSigFLAABgDjgQjgWSHEiVZPIknewAkgRAhRe83PlgHLADw9PSNycnSxZvsXoBVrxB566C60Zo3YQ8voJEtHkqQQIURiCycxAzyFEBmtDMYaOA6sE0LsaWlbXaRlVjUosDQ37tbd71ql2fxcKZMjNzGjl1KOcS8L2LTpTyv6QgjkKg0aIehlatxtCqRuFo1G0KRUY2IsYWZs9Ke93t/MzxUyJMwRyLE0s2DTjE1/WtG/ci/LlGqdFIO1R/BvGMNvSeybf64AWhN7U2A3ENma2OsCtUYQ9ro2YmRvaUqIux3jA/owMdBFr6YVnUV1o4ID8YUc+yGPxPs3Umqj7QkkCQ3uNaXc8m0at4cUMi7AudsWTl1NRmk9e2Pz+fVyBekl9dTJtT3hzUyM8HGyYoy/ExMCXbjF26Hb55hrNIJTGeUcSigiOqeK7IqG3wqJbC1MCO5rx/iBzkwIdOnyBna6oE6m5ODFItZ+l4294jOcr4pIqOSlrN2dgaUqn/EBff4UFbK5FY3sic3nTEYFKcW11MpU9LY0Je6lyZ06jlbTMiVJ8gfeAoLQhnQAEEL4tLKfBHwFVAohVrdlMB2d4SvVGraczaFBrqKguT1CRmk9AJOCXHj4Nl/CPO1v+vhdRWZZPZ/8ks6hxGIUKg0+lfmEFaTgWV2MhUpBg1kvMh3cOeM1mEpLO6zMjFk8wosHRvfXixeAPhFC8EtyKZ8fv0xUThXGRhKD+9kR6m5HH1sLjI0kKhsUXCqs5XxWJQq1Bi9HS5aP82VOuHu3e7OTKdX870w2m3/NoaC6CRsLE4Z5O+DnYo29pdlv7RGisqtIKa4DYIy/EyvH+zG8v0O3m/nnVTay/kgGB+ILaVKqUUklyIwuoZKKEDQh0QtT0RcL9SCMccDcxIh7bvHgwbE+9LPvfpO20xnlbDiWwemMCowkCHW3I7SfHW52vbDtZcrSEV4dPodOC68kSToFvAx8CMwA/ta838ut7DcaOAkkAFcWd58XQhy60T76qLTNqWhgT0wB/zuTTU2TkqnBrrwyMxhXO8MXwupGBR8eTiPyXC7mJkbcHdGP+UM9CBk1GK6z1qH29ib2aDSbz+bwbXwhpsZGPDLe8Ju9XSGpsIbXD17ibGYlXo6WLBrmyZzwfjjbXL/pW71cxdGUUv51MpOL+TX0s+/F67NCGD/QsJq9XQ8hBPvjCnn3hxQKa2SM8nNk4TBPJgW53PChVVDdxP64Ar48lUV5vYKxA5x5Y1ZIt3h7rZer+PRIOv89nY0EzA5zZ8EtHszeHUZO7R/vZS9bb/bPjWXruVz2xOYjBDw41odHb/c3mJbVLZFRWs+67y5xNLUMNzsLFg3zZO7Qfnrx7NW14EcLISIkSUoQQoQ2f3dSCDFGB2P9HfpsrVAvV/G/01l8eiQDU2MjnrljIEuGexrsDOloainPfHORigYF99ziweqJA/5f+Jpj+DS3CAbA0vJ3Mfycigbe/SGV7xKK8OtjzT/nDjLYt5sr3T0/PZKBXS9TVk/0Z+EwzzZ7F1xpnPbawUtklNYzPdSN1+8KMdgeKqW1Mp7ZfZGjqWWEutuxdnogI9rRsvtK47SPfk5Hqdbw+KQBPDjGx2DDWucyK1izK56C6iZmh7nz5OQA+ja38fgthq/8/3vZ0tTydzH8wuomPjicxjfR+Xg6WPL23aGM9NWdoZEuudLd858/pWJuop1w3TfSW68dSXUt+KfRpmV+AxxBa2bythAioKMDvZbO6KWTW9HI2n0JnEwvZ3KQC+/OHWRQMUK5Ss0bB5PZfDaHABcbPlgw+PrNrtqYpXM0pZQX9iVSUivjqSkBPDjGx6D6A+VVNvLI1hji82uYHebOKzOCsbO8ufUHhUrDF8cv8+mRDByszPj4niE35X2gT36+VMKT38QjU6p57o5Alo7wuul/j6KaJl7en8RPl0oY7efEBwsGd4nN5o1QqTW8fziNz49fxtPBkg/mDybCy+EP27U1S+fXyxWs3ZtAVkUDj4z347EJ/l1is3kjSmtlrNoWy7msSiYFufDWnFCc2tCSvKPoWvBvAZKB3sDrgB3wrhDibBsGMhX4GK0Byr+FEG+3tH1nNU8TQvCfU1m880MKfWws+GxxeKcYGLdGaa2M5Vuiicmt5oHR/XlySoBOZgY1TUqe23ORQwnF3BbgzEcLhhjEQ+5MRjkrt8ag0gjenjOI6YPcdHLcxIIaHtkaQ25lI09MGsDDt/l1+UNOoxGsP5rBB4fTCHG35eN7wnSy+CqEYMeFPF75NglrcxM+WRhmELPf6kYFq7bFcjJd6xv7wvQgnTSra1SoeHl/Erui8xnm7cD6RWEGsU4Vm1vF8i3R1DapeHVWMPMi+nVa9MAgmqdJkmSM1uJwEpCP1uJwYUuVtp3dLTM+r5qHI2Moq5Pz6qxgFg7z7LRzX0tMbhXLN0dTJ1Px3rzBOhO/Kwgh2HI2h9cOXsLVzoLPl0R0WZtcIQRfns7mzUPJ9Hey4l/3DqW/js256+UqntuTwLfxhUwKcuH9+YO7LHOpXq5izc44fkwqYU6YO2/OCdX5K35aSR0rtkSTXdHIM1O1b3JdFa5MKa5l2dfRFNfIeP2uYBbcovvfq72x+Ty/JxEbCxM2LA5nqPcf3xw6i51RebywNxEXO3M2LR3a6T4Dup7hHwX+sJEQ4vZW9utSE/O2UtWg4NHt2pnIgqEevDoruNMdgHZeyOOFfZ1zw8TmVrFiSwxVjQrenB3K3RH99Hau6yFTqnl+bwJ7YgqYHOTCBwuG6M1kRQjBf5sfLB4Olny+JIIAVxu9nOtGZJU3sOzrKDLLG1g7LZC/jfLWmxDXy1U8tSue7xOLmR7qxjtzB3W6gc2hhCKe3BWPtbkJny+NIFyP60YpxbU8tDmagqomXpgeyH0j9fd3ez2Uag1vHLzEV7/mMMrPkfULw7HvgnUjXQt+xFUfLYC7AZUQ4ulW9psLTBVCPND8eSkwXAjxyI326QrBB+1Cy4eH01h/NINB/ezYsDi8U1LAlGoNrx+8xNe/5jDG34lP7gnrlBumvF7OI1tjOJtZydIRXrx4Z1CnZPEUVjexfEs0F/NreHziAFbd3jmhlvNZlTwcGUODXMVM11p2/PPp3+wR161bx2I9FasdTS3l0W2xmBhJrF8Uzig//YdahBB8cSKTd39IwcfZmi+Wdo7xvFoj+OBwKp8dvUy4Z28+XxLRKaGWmiYlT+yI45eUUmaHufPm7M4xni+vl/NwZAznsyp5cEx/npk6sMvWE/Qe0pEk6bgQYlwr28wDplwj+MOEEKuu2c5gWiv8lFTMmp3xmBhLfLow/KYMottKaa2MR7bGcj67kmVjfXh6SkCn3jAqtYZ3f0xl04lMwj17s2FxhF5TVc9cLufRbbHIlBo+XDCESUEuejvX9SiplTHvox/JbTSh9sI+qo79FzRqLC0t2bRpk05FX6MRbDiWwfuH0xjoasumpRGd7pN7OqOcVdtiUag0vDdvMFNDXPV2rupGBat3xHEstYyFwzx4ZWZwp9ZDXFkf+fDnNAJcbPhiaYReDVDi8qp5eEs0FQ0K3rl7EHeFuevtXG1B1zP8q4NjRmh76HzSWpZOdwnpXEtmWT3Lt0STUVrPk1MCWDHOV+eviecyK3hkWyz1MhVv3x3KrCFdd8N8d7GIp76Jx9LMhM8Whek8q0UIwefHM/nnjyn0d7Lii6UR+PXp3LDKFbx9fKn1nYRtxAxkuQmU7X8HTWM1Xl5eZGdn6+QcNY1K1uyK4+fkUmYO7svbd4diadY1zloF1U08vCWa+PwaHr7NlzWTA3SeupmQX8PyLdGU1cl5eWYQi4d3vJDoZjmaWsrq7XEIIfj4njCd12MIIdhyLpfXvk3CxVa7Dhbi3vV2kboW/Cy0MXwJbcvjLOA1IcSpVvYzQbtoOwFtKucFYJEQIulG+xiC4AM0yFU8s/siBy8WMSXYhffmDcZGBwt+Qgj+fTKLt39IwcvBko1dEFO+HukldTy0OZqcykaenxbI33UUZ66VKXlyZzw/XSrpspjy1RgZGSGEwCroNhymPoJGVk/ZvrdQFqWh0bS58esNSSqsYcWWGAqrm3jxziDuvdWry+s8ZEo1r36bxLbzeYzxd+Lje8J0Up9wJTvopQNJOFmZsWFJhEFkuuVWNLJ8SzTJxbU8NsGfR2/310nYsFGh4oW9ieyJLTCoTDcwkCyd5oFMAz5Cm5b5pRBiXUvbG4rgw+8zSbwcLVm/MJygvje/mJpX2cizey5yOqNCpw8RXVEnU/Lkrnh+TCphxuC+vDEr5Kbz4UE723p+TwKldXKeu2Mg/xjdv8vFz9vbmyshQ1Pn/jjPfh4TWyekuL1k/vi/mxYGpVrDxmOX+fRIOg5WZmxYHEGEl2EVue24kMuL+5Nwtjbnk4VhHRpfaa2M5/cm8nNyiU4fIrqiSaFm7T5tYsDtA/vw7txBHcqHP5dZwdO7L5Jb2ajTh4iu0FW3zNEtzeIlSbJF2y2zxSZr7cGQBP8K5zIrWLk1lsoGOffe6s3jEwe0SwgbFSq+OpPDp0fSMZIknr1jIIsNtMJXCMHG45d578dUelua8fSUAOYP9WjXzZ1X2cgHh9PYG1uAfx9r3jWgCt/IyEiWLVtGY3OFspG5FX1mPY15/wgG97Pj1Vkh7ZqlCiE4nVHBukPJJBfVcucgN16dGYxjJxTb3AwX86tZsSWGguom5g/tx9NTB7ZLCOUqNdvO5fLB4TTkKg1PTg7g76P7G2SF79XhFwtTY56YNIClI7zatU5WUivjo5/T2XY+16ArfHUl+B8Cw4EfgGigDG2Wjh/afvheaB2tLuhi0GCYgg/aRakPDqex5WwOVuYmLBjqwX0jvVtciCuplbE/roBNJ7Ior5czYWAfXrsrBPfeuu+loWsuFdby8oFELmRX4eNsxd9GejMnvN8NC2eEECQV1rLtfC47o/KQJIllY3xYNcHP4JqZRUZGsnbt2t+ydN54Yx02Ibex7rtkSuvkjBvgzN9H92eMn9MNH3RylZoTaeX8+2Qm57Iq6WtnwUszgvW6MKorrvS0+c/JLMxMjJgb0Y/7R3rj00ImT0W9nIMXi/ji+GUKa2Tc6uPIutkhLe5jKGSU1vPqt0mcTC+nn30v7h/pzfxbPFqsyUgtrmPHhTwiz+Wg1gjuG+nNmskDumwtpjV0FtKRJMkemAuMAtzQOl4lA9+1FsO/GQxV8K9wqbCWDccy+D6xGLVGMNDVhuH9HRjgaoO1uQlNCjV5VY1cyK7iQnYlQsAIHweenBzQpYUhN4MQgu8Sith0QtuYzNzEiDDP3gzr74iHfS/MTIyoaVKSUVrPyfRyssobMDWWWHCLB4+M9+8Wzemupl6u4stTWWw+m0NZnRxHKzOG+zgwxKM3zjbmCAFldXKSCms5llpKrUyFs405K2/zZeFwT4N7sLVGRmk9G49d5tv4QhRqDb7OVozwcWSgmy22FibIlRryqxqJya3m18wK1BrBEI/ePDk5gFF+jgb5hnojrnRg3XQik/PZlZgaSwzx6M2w/g54OVhhbmpErUxFZlk9pzPKSSupx9hIYnaYO49N8O/0DKv2YjAx/PZi6IJ/haKaJvbEFHA2s4Ko7CqalOrffmZsJBHgYsPkYBfuHNQXvz6GPwtqCSEEMblVfJ9QzNmsCpIKa7n6lrEyMybcy57poW5MDXE1mIWsm0Wh0vB9YhHH08o4e7mCwhrZ737uamvBSF9HZgzpy2g/pzY3eDNUyurk7Ist4Mzlci5kV1Hf7DkAYCSBXx9rJga6MHNIXwJcbLqV0F+PxIIavr1YyNnMShILalBr/v9m7mVqzGAPO6aHunFHqFun9MHRBd1W8CVJKgN0kYjvBJTr4Djdgb/StULP9f6Z+StdK+juer067GnbnZEkKaqtT7zuzl/pWqHnev/M/JWuFbrmerv3+2gPPfTQQw9tplXBlyTJUpKkFyVJ+lfzZ39Jku5sw34ekiQdlSQpWZKkJEmSHtPFgHvooYceerg52lJpuwNtWua9QogQSZJ6Ab8KIYa0sp8b4CaEiJEkyab5GHe11B7ZyclJeHt7t/caeuihhx7+skRHR5e3NYbflsRSXyHEAkmSFgIIIZqkNizVCyGKgKLmP9dJkpQMuAM3FHxvb2+6Q5ZOt6eNblk99GDotNUt68+MJEltTnRpi+Armmf1ovngvoC8nQPyBsKAc9f52dXdMttz2B5uhmv9cHNytJ+hR/R76FZc64ebU5PDsm+19/JfTfTbSltCOpOAF4Ag4Ce0RVj3CyGOtekEkmQNHAfWCSH2tLRtV+Thy5Rq4vOqyalspF6mwtzUCFdbC4L72nW74qG2UBw4mCSlOUU2TiiMTbFWNOJZXUyomQKrjNSuHp5O0WgE6aX1pJfWUVGvQAiBvZUZfn2sGehqa5AtATpCk0JNYmEN2eUN1MtVmBob4WJrQaCbTaf4O3Q23u+HUlJjjolwRsIMDU2opRJcesvJfiKlq4fXaeg8D1+SJEdgBNqOmWeFEG3KHZUkyRQ4CPwohPigte07S/BVag2HEovZHZ3PuawKZMrrd0oMdbdjaogr84d64GzTPYowrkdpnYz9sYXsjsknpbjuutuYqRSMDe3H9EFuTA/t2ymGKPoisaCG3TH5vdN94gAAIABJREFUHIgrpKJBcd1tnKzNmBTkyt3h7t2uCvpqlGoNR1NK2RNTwJGUUhTq69/LA11tfruX+3aD9h43oqpBwYH4QvbE5BOfX3PdbQQqxg1wY3qoK7OGuHe6g11no6teOuEt7SiEiGllEBLwFVAphFjdlsHoW/DVGsHW87l8fuwyBdVNeDpYcvvAPoz2c8LfxRpbC1PkKm1J+YXsKn5MKiYurxoLUyOWDPfioXG+3Ur4qxoUbDiWwVe/5qBQaRji0Zs7D/yHsKRfca8pw1yloM7cksuO/Tg5aBw/Dp9OQXUT7r17sXK8H/OG9utWlaRJhTW8+0Mqx9PKMDM2YmJQHyYMdCGory3ONuZIQHm9guSiWg4nl3A0pZRGhZpbfRxZPdFf514A+kSjERxMKOK9H1PJrWzEydqMGYO11b++ztbY9TJFodZQWN1EdE4VPyWVcCGnElMjI+YN7cfK8X7dSvjrZEo2ncjk3yezaFKqCXKz5VLd1xQrfkUllSAkOZLohalwx8V0DF4Wd5FT0UgfG3OWj/Nl0XDPP63w60rwjzb/0QIYCsSjneEPAs4JIUa3MojRwEkgAbgy7XheCHHoRvvoU/Dj8qpZuzeBpMJahnrZs3ycL7cP7NNqJ8jMsnrWH81gX2wBVuYmrJ0WyIJbPAy6xFwIwbbzebz1fTINchVzwvuxfJyvts3DtTF8AEtL2LQJsWgRx9LK+PjndOLyqgl0s+Wdu0MZ1K/r+5y3RJ1MyZuHktl2Pg+7XqY8fJsv99zi2WpX0yaFWjsBOH6Zsjo5c8LceeHOIINq9Xs9UovrePqbeOLzaxjoasPjkwYwYWCfVjtB5lc1suHYZXZF5WFqbMSTkwO4b6S3QYe2hBAciC/k1W8vUdmg4M5Bbjx8mx9BfW3/EMMHsDS1ZNOMTSwKWcTZzEo+/iWNs5mV+DhZ8dac0G71UG8rujZA2Y42/p7Q/DkEeFIIcX9HB3ot+hB8pVrDxz+n89mxDPrYmPPSncFMC3Vtt2BfLqvn+T0JnMuqZKSvIx8uGIJLJ3h2tpeimiae/uYiJ9PLGenryCszgxngco3JSitZOkIIfkwq4eUDiZTVyXlonC9rJg3oMs/OljidUc5Tu+IprpXxj9H9eeR2f+x6ta+Pv0ypZsPRDDYcu4xdL1PevntQp1swtgW1RvDFict8dDgdGwsT1k4P5K4h7u3uzZ5X2ciL+xM5llrGEI/efLowzCAbhJXXy1m7N4Efk0oI8+zNazNDCO33e4eptmTpnEgrY+2+BPIqm7j3Vi+enxb4p5rt61rw467Nub/ed7pA14KfX9XIo9tiicmtZv7Qfrx4Z1CHTEc0GsH2C3m8fvASVubGfLIwzKD6Y59KL2fVthjkKg3PTQtkSQf77tfKlKw7mMyOqDyG9Xdg/cKwTjGmbgsajeCTI+l8/Es6/Z2seG/eYMI72Hc/pbiWJ3fFk1hQy/Jxvjw52XAecpUNCh7bHsvJ9HKmhbry+qyQDvXdvzJzfnGf1s7ig/lDmGhAD7mY3CpWbImmqlHJmkkDeGCMT4feRBoVKt77MY0vT2cR6m7HhsXhBvmQuxl0LfjbgAZgC9rUzCWAtRBiYRsGMhX4GK3j1b+FEG+3tL0uBf/XyxWs3BqDUqVh3ZxQZg7uq5PjgtYScPmWaLLKG1gzWet725UOOFcbl/g6W/P50gh8ddirfF9sAc/tScDK3IRPF4Zxq2/XvhbXNCp5fGccR1JKmRPmzrrZofQy082MTaZU8/rBS0Sey2V4fwc+XRRGH5uufchd7Rv76qxg7tFhSDG3opGHt0aTWFDLitu6/k3uauMSN7tebFwSTnBf3fnGHr5UwhM745CADxcMYUKg4TzkbhZdC74FsAIY2/zVCWCjEEJ2471AkiRjtJ62k4B8tJ62C1uqtNWF4Ash+PrXHF47eAlvR0v+de9QvRg1NMhVPLsngW/jC5kY6MKHC7rGsrBeruLJnfH8kFTMnYPceOfuQTc0KukIac0PuezyBp67I5AHxnSNZWFyUS0PbY6mqKaJl+4MYskI/fjG7onJZ+3eRKwtTPh8SddZFu6MyuOFfYk4W5uzYXE4g/XgGytTqnnt4CW2nstlpK8j6xeFd8k6hkypZu3eRHbH5DM+wJmPFoR1yGbzRuRWNLIiMpqkwloevd2P1RMHGJRlYXsxiPbIkiTdCrwihJjS/Pk5ACHEWzfap6OCL1epeXFfIjuj8pkY2IcPFwzRqwgLIfjqTDavf5dMfycrNi2N6FQXoJyKBh78OorLZQ2d4htbL1fx1K54vk8sZnaYO2/NCe3UWOj3CUU8sTMeGwsTNnaCCKcW17FscxRF1TJevyuYBbd0XmGgUq1h3XfJ/O9MNqP8HPl0of5F+JvofJ7fm0AfG3M2LR3aIQ/n9lJcI+OhzVHE59eweqL+fWNlSq1W7IrO75IJ26n0co6llrJ2emCHf2fbI/htaZ6WJUlS5rX/teHY7kDeVZ/zm7+79vjLJEmKkiQpqqysrC1jviH1MhWnMyp49HY/Ni0dqvd/QEmSuH9Ufzb/YxgV9XJmfXaao6mlej3nFU6mlzFz/WlK6+Rs/vswHhjjo/cZt7W5CRsWh/Pk5AHsiytg3ue/UljdpNdzgjZe/8FPqayIjGGgmw0HV43ulBl3gKsNB1aOZriPA8/sTmDBu3vw7u+DkZER3t7eREZG6uW8lQ0K7v3Pef53JpsHRvfnq78N65QZ99yIfux86FZUasHdG89w8GKh3s8JEJ1TxYz1p8gorWfT0ohOmXFbmBrz7txBvDIjiKOppczecIbMsnq9nhO0k8R/n8zk3i/PcSK9jFqZqvWddEhbQjpXB2wtgHmAgxDipVb2mwdMEUI80Px5KTBMCLHqRvvoIqRTL1dhrYeQRmvkVTby0OZokotreWqKNq6vDwEWQvCfU1m8eSiZAS42bFo6FE/Hzl98+vlSCat3xGFhasSGxREM66+f4qV6uYrHd8Rx+FIJ8yL68cbskE63E1RrBPd/sIeT5RbIchMo2/82msYaLC0t2bRpE4t12JIiuaiWB7+OorROzttzQpkT3k9nx24rpXUyVmyJITqniodv82XN5AC9pW7uvKANWbn1tuBf9w79Y0ZZJ3DmcjkrI2NQaQSfLAxjfEAfvZxHplTz/N4E9sQUMCXYhffnD9GJVuk9pCNJ0qk25OF3ekinq2lSqHnqm3gOXizizkFuvDt3kE6NjxvkKl7Yl8je2AKmBrvy/vzBeonXt5WM0joe/DqavMpGXpkZzOIOZgVdS3pJHSu3xnC5rIEXpwdy30jvLqt/8Pb2ptyqPw5TV6FpqqFszzoUJZfx8vIiOztbJ+fYH1fAs7sTsO1lwqalQ/USr28rcpWaVw4kse18njaefk9Yu9NdW0KmVLPuu2Q2n81hjL8Tny4M61J7zLzKRpZtjiZFTxO2vMpGVm6N4WJ+DY9PHMCq2/109haj60XbqytujdAWYa0QQgxuZT8TtIu2E4ACtIu2i4QQSTfap7sLPmhn4J8fz+TdH1PwdrTiowVDdPKLm5Bfw6PbY8mpaGD1xAE8Ml53N0xHqGlS8tj2WI6llnFHiCtvzg7FvoPhByG06a+vfpuElZkJnywMY5Rf16a/GhkZIYTAzMUX5zlrMba0p/rk19Rd2I9Go279AC3QIFfx8oEkvonOZ6iXPRsWhxtM+uuWszm8ciCJPjbmvD9/iE4ytNJL6li1LZaU4jqWjfXh6SkBBpH+2qhQ8dQ3F/nuYhFjBzjzz7mDdFJrsz+ugBf2JoIE788bzORgVx2M9v/RteAfveqjCsgC3hdCtNppS5KkacBHaNMyvxRCrGtp+z+D4F/hzOVyntwZT0mdnIdv8+Xh2/xuKnWwSaFm/dF0Np3IxMnanA8XDGGEgVULqjWCf53M5P2fUrG3NOO1WcFMCW5/cRtoMyheOqAtChrj78T78wd3eVokaGf4OTnaLrRGvWxxnPIIlgEjoTSNn99+AL8+NxeKOJpSyssHksiramTVeD8eneBvEOJ3NXF51azeHktOZSN/H9Wfxyb6Y3sT62NylZp/n8zik1/SsTY34b15gxk/UD/hk5vlSlrouu8uYWFqzEt3Bt1UcRtoiyBfP3iJQwnFRHjZ8/E9Q/TSxE7Xgu8jhMi85rv+QoisDozxuvyZBB+0s99XDiSxN7YANzsLnp4awIxBfdv0C61Ua/g2vpD3f0qjoLqJOeHuvDg9qMOzZ32SWFDDk7viSSmuY4SPA89PC2xzW4aKejn/PZ3NppOZmBpJrJkcwP0jvQ3iLQYgMjKSZcuW0XhVSwr7iGn0mbwCJUYsHeHFyvF+be61lFhQwye/pPPTpRJ8na14c7Zhl/03yFWsO5TM1nO5OFmbsWZyAHPC3du0nqLWCH5MKua9n1LJLGvgjhBXXp0ZbDBvMdcjo7SeNbviic+rZohHb9ZOD2Sol32bJjE1jUo2n81mw7HLqDWCVbf7sXycr94e5LoW/BghRPg130ULISI6MMbr8mcT/Cucz6rktYNJJBbU4mprwT3DPJgU5EKAi83vbgKNRpBUWMux1FK2ns+lqEbGQFcbXp0ZbNBicDUqtYZt53P54HAaVY1Khnj0ZtEwT0b5O9HXzuJ3vzBNCjVnsyr4KamYPTEFyFUa7hzkxgvTgwyyNXVkZCRr164lNzcXT09P1q1bx9RZc3n/cBrbz+dibCQxNcSNOeHuRHjZ/2EWXFor42R6OXti8zmdUYGVmTEPj/fjwTE+3aY76cX8al779hJROVU4WZsxf6gHU0NcCXSz/V2jPSEEKcV1HE8rY+u5XHIrG+nvZMVLM4L0tiiqazQawZ7YAt79IYXSOjlBbrYsGu7JWH9nPBx6/e5elinVRGVXcfhSMbui82lUqJkY2IeXZwTrvaJXV83TBgLBwLvAU1f9yBZ4SggR3NGBXsufVfBBO8v5JbmELedyOZGmTT+1MjPGr481lmYmNCpUZFc0UtOkBGCEjwMPjfVl3ABng5nltodamZJvovLZci6HzLIGAFxszfGwt8TEWKK6UUlmWQMKtQZzEyNmh7nzwBgfbYO3bkhmWT1bzuayKzqPOpkKSQIfJyucrM3RCEFJrZzcSu3bgautBfeN9GbRcE+dLoR2FkIITqSXs+VsDr8kl6ARYGFqhH8fG6zNTWhSqsmtbKSyuTV1mGdvlo3xYXKwq0E3arsRDXIV++IK2Pxrzm/txZ2szfFytMTUWKKmSUVWeT0ypQZTY4k7B/XlgTH9dVoh3BK6EvxZwF3ATODAVT+qA7YLIc50dKDX8mcW/KsprG7iQnYl0TlVZFc00qRQYWFqTD97S4b1t2e0n3O3asPcEkJo31qic6qIza2ipFaOWghsLUzxdbZilJ8Tw/o7/GmaWTUp1ETnVBGdU0VSYQ3VjUqMjMDZxoIgN1vGDnAi0NW2Wz7Er0dprYzz2ZVEZVeRVd5AY/O93NeuFxHe9oz1dzbIt7WbQQhBakkdUdlVxORWUVwjQ6UR2Jib4O1kxSg/R4b3d+z0zDldh3RuFUL8qpORtTYYSSoD2uzP2AJOQJtMWv4E/JWuFXqu98/MX+laQXfX69VWE/OWZvhPCyHelSTpU5r9bK9GCPFox8aoPyRJimrrE6+781e6Vui53j8zf6Vrha653pbePZKb/39TMRZJkjyArwFXtAYom4QQH9/MsXrooYceeug4NxR8IcS3zf//6iaPrQLWCCFiJEmyAaIlSTrcUrfMHnrooYce9EdLIZ1vuU4o5wpCiJntOpEk7QfWCyEO32gbJycn4e3t3Z7D9tBDDz38pYmOji5vawy/pZDOezoaD5IkeQNhwLnr/GwZsAzA09OTv0KWTremFXvEHnroLrTFHrE7IElSmxNd2tQ8TZIkM2Ag2hl/qhBC0Y7BWAPH0fri7mlp279KWma3pQUD9B7R76E70ZIBencTfV2nZU4HPgcuAxLQH3hICPF9GwZiChwEfhRCfNDa9t1J8HMrGvk1s5xzmZXkVDbSqFBjZmKEe28LgvvaMSXY5ab7qxgaao3gYn41Z5c9TYylCyU2jiiNTLCRN+BVXUyErJQp3/7PoNs+tId6uYrzWRWczazkUmEtlQ0KJAkcrMwY4GLDKD9HRvs5d5vq2NYoqG7i18sVnMusILuigXq5GjNjCVc77b08IbAPQW62XdapVJdcqWaf8dUTNDS4YCKckTBBIzWhkoqxtirjwqp/d6s6GF0LfgpwpxAio/mzL/CdEGJgK/tJwFdApRBidVsGY+iCr9YIDl8q5svT2ZzPqgTAyVorAlbmJsiUavIqG8mu0M4aBrrasGSEF/OHenRLcahpVLIjKpevzuRQ0Gx04lORh0dNCaZqFbUW1lx26EeFVW9MjCTG+DuxbKxvl3ve3iwZpXX893Q2e2IKaFKqMTM2ItDNBqdms/DSOjlpJXXIVRp6W5oyY1Bflt/mi3vvXl088vaj0QiOp5Xx5eksTqZrU8HtLU0Z4GKDjYUpcpWaguomssobEAJ8na1YOMyTJSO8umWRXL1cxe7ofP53Jpuscm3lt1IqRCUVIVBihBUmGndMcMBIglt9HXlgjA+3DXA2+AedrgX/hBBi7FWfJeD41d/dYL/RwEkgAW1aJsDzQohDN9rHkAX/bGYFrxxIIqW4DvfevVh6qxcTA/vg62z9hxuitFbGoYQi9sYWEJ9fQz/7XjwxaQCzw9wN/uYBbT+czWdz+OBwGnUyFcP6O7B4uCcjF0zFOS3xd9sK4NLgUXz71r/ZE5NPaZ2c0X5OPHvHQELcO6e0vKOU18v55w+p7IjKw8zEiFmD+zI7zJ1wL/s/iJtCpeFURhkH4go5lFAMwKLhnqye6N+l/dzbQ1xeNS/vTyQ+v4Y+NuYsGeHF5GAXBvSx+UMFcGWDgu8Ti9gXW8CF7CpcbM15dII/C2/x7BbVwhqNYFd0Hu/+kEpFg4LBHr1ZMtyTp47fSU79xT9s72U1nEcHfcXumAIKqpsY6mXPc9MGEuGlH4MfXaBrwd8IeAE70f5+zwNSgdMArcXl24MhCn69XMULexPYF1eIe+9ePHvHQO4IcW1T5zshtLOo939KI6GghjH+Trw1J1QvLVJ1RUpxLau3x5FSXMcYfyeemXqVcLcSw5cp1USey2XD0Qyqm5Q8NNaHRyf4G/SM8JvofF79NokmhZq/jfJm+ThfHK3b9jpfWN3Ep0fS2RmVj72lGW/cFczUEDc9j/jmkSnVvH7wEpHncnG2MefpKQHMGuLe5rfPs5kVvP9TKheyqxjqZc87cwfh24kezu0lu7yBx3bEEZ9X3Szcgb9ZY7YWw1eoNOyKzuPTXzIoqZNx363ePDUloEsNh26ErgX/vy38WAgh/t6ewbWEoQl+RmkdD22OJruikZW3+bLiJnvaazSCyHM5vPV9ChLw5pxQZg35g71vl7M/roBndl/E1sKU12aFMCXY5Y9vJG3I0qlpUvLGwUvsis7Hv481G5eEG9x6htbR6RLbzucyvL8D62aH3nTjtqTCGp7+5iJJhbXMDnNn3ewQnTqd6YK8ykaWb4kmqbCWf4zuz+qJ/jfl+SyEYE9MAa9+m4RcpeGlGUEsGqZbpzNd8POlEh7fGYexkcTLM7Q97a8dY1uydBrkKv75Yyr/O5ONp4MlGxaHG9ybq94tDvWFIQn+oYQintoVj4WpMesXheskLp1X2cjjO+KIyqnivlu9WDs9yCBi+0q1hnXfJfO/M9kM83Zg/eIwnZiOHEstZc3OeGRKNe/MHcSdg/rqYLQdp7C6iRWRMcTnVbN8nC9PTh7Q4V7lSrWGz45m8PEv6QzoY8PGJeH4GMjs93haGY9tj0WtEXy0YAgTAl06fMzSWhlPfnORE2llzAl3Z91doTc1GdI1ao3go5/T+PRIBiHutmxcHKGT9sTnsyp5bHssFQ0KXp8VzIJbPHUwWt2g6xl+f2AV4M1VefttKbySJGkq8DFax6t/CyHebml7QxB8lVrDP39M5YsTmQzx6M3GJeG42eluUU6p1vDWoRS+PJ1FmGdvNizW7fHbS2mtjJVbY7iQXcXfR/XnuWkDf9fXvKMU1TTxcGQMsbnVejl+ezmTUc6qbbHIlGrenz9Y5yGYE83iqlQL3ps3qEtDPBqN4LOjGXzwcxoBLjZ8viQCbycrnR1frRF88ks6nxxJ18vx20t1o4JHt8dxIq2MeRH9eP2uEJ2GEyvq5Ty2PY5TGeXMH9qP12bp9vg3i64FPx74D79ffEUIcbyV/YzRetpOAvLRetoubKm1QlcLfnm9nFVbY/k1s4IlIzx58c6gNjn63AwHLxby9DcXsTQzZsPiCIb17/xFoajsSlZExlAvU/H23foLMylUGt481PwG0d+BDYvDf8t86SyEEGw6kck7P6Tg42zN50si9NZ7v6C6iYe3RBOfX8PK8b48MSmg0/vA1zQpWbMzjp+TS5k1pC9vzQnVW5jpaGopq7fHIYTgk4Vh3NYFBieJBTUs3xJNaa2cV2YGs3CYh17CTGqN4MPDaaw/mkGoux1fLI2gbxdnaela8M8JIYbfxCBuBV4RQkxp/vwcgBDirRvt05WCH5dXzYot0VQ2KFg3O5S5Ef30fs6M0joe/DqavMpGXp4ZzJLhnRMLFULw1Zls3vgumX72vfh8aQQDXW31ft59sdo1AkcrM75YOpTQfp0TC62Xq3j6m3gOJRQzLdSVd+cOxlrPi2/aNYIktp3PY3yAM6OMM3jjped/55a1WE/FaqnFdTy0OYr8qiZemB7IfSO99X5f5VU2smxzNCnFtTw1JYAV43w7La7/TXQ+a/cm4GBlxsYlEQzxaJutZkc4fKmEx3fEYW5ixIbF4V3qSKdrwV8E+AM/AfIr3wshYlrZby4wVQjxQPPnpcBwIcQj12x3dWuFiCtG0Z2FEIJt5/N45UASfWzN+XxJRKcuytQ0KVm9PZajqWXcc4sHr84K1ttbBUCjQsXze7RZRxMD+/D+/CGd6rqUWFDDsq+jqGhQ8PbdocwO0++DNaO0noc2R5FV3sCzdwzkwTE+nbrAGHkuhxf3JqCoKqJk92uoKvIBsLS0ZNOmTToX/f1xBTy7OwFrCxM2LA7nFu/Oe3NsVKh4+puLHLxYxPRBbvxz7iC9Ll7LVdqsoy1nc7nVx5FPF4V16ptjRmk9y76OIreykZdnBLFkhFeXLF7rWvDfApairbS9EtIRQojbW9lvHjDlGsEfJoRYdaN9OnuGL1OqeXFfIrui8xk7wJmPFwzpkmrRq18Twzx78/mSCFz0YPCcXd7A8i3RpJbUsWbSAB6+za9LcqnL6+WsjIzhXFYlD4zuz7N3DNSLwfP3CUU82bzw/umiMEb6Oun8HG3Be+gE1CP+hmRqTvnB92nK0LaU8vLyIjs7WyfnUKq1YbP/ns7mFm97PlsU3iUm4UIIvjiRybs/pDDAxYZ/3TtUL56uRTVNrNgSQ1xeNQ+N8+GpyQF6MwlviVqZktXb4ziSUsqCoR68dpd+J2zXQx+VtoPa0z+neT+DDulklNbzyNYYUorrWHW7H6snDuhyv81DzQJlba6dnQ3V4ezsQHwhz+9JwMRY4uN7whg3oE3N9fTG1ZlBo/wc+fge3c3OZEo1bx1K5qtfcxjs0ZuNi8O7NM5qZGSEkbUDzrPXYu42gOrTW6k5vR0JgUajaf0ArZBX2ciqbbHE5VVz/0hv1k4P7NKFcdBmBq3aGoORke7vtyMpJazZGY9CpeGf8wYzLbRrax80GsEHV03YPlvUufebrgV/B7BKCFHazkGYoF20nQAUoF20XSSESLrRPp0h+BqNYPuFPF4/eIleZsa8P38w47tgkelGpBbXsWxzlDZvepwvqycO6FDqZk2Tkje/S2ZHVB4RXvZ8sjDMoFoB7IrKY+2+RGzMTXhrTiiTg107dLyU4lrW7IwnqbCWv4/qzzN3BHT6jOtavL29ycnJAWNTHKc8jHXoJGQFyVjE7iA78cJNH1cIwYH4Ql7YlwgC3r57ENMHGU7hV3Z5Aw9t1r5R3j/Sm2emDuxQ6majQsV7P6bx5eksgtxsWb8ozGBSX0H7RrlmVzzGRhKvzQq+bu6/PtC14B8DBqEV7Ktj+G1Jy5wGfIQ2LfNLIcS6lrbXt+CnldSxdm8CF7KrGOXnyAfzh+gldNJR6mRK3jioFekAFxtevDOI0f7tC0cIIfguoYhXv71ERb2c5eN8eXzSgC6f+V2P1OI6ntgZp21qNbgvT08JaHcYoEmh5uNf0vn3yUxse5ny7t2DmBjU8XxzXRAZGcmyZctobK5Qtgwci+PkhzHvZcXqyQP5x+j+7U7vy6lo4IV9iZxMLyfMszef3BOml9BJR5Ep1bz7Qypfns7C29GStdODmBjYp91CeCSlhBf3JVFQ3cR9t3rx3LRAg0iJvJacigbW7IwnKqeKCQP78Pz0QL1XI+ta8Mdd7/vW0jJvBn0JfkpxLRuOXubgxUJse5mydlogcyP6GVx14LX8klzCyweSyK9q4rYAZ5aN9WFEf8cW4+4ajeCnS8V8dvQyCQU1hLjb8tbsQZ2WEXOzKFTawqXPj19GAPeO8GLprV54Obac110nU7L5bA5fnsqivF7B/KH9eO6OQIPr3BkZGcnatWt/y9J5+pU3iTMawE+XSnCzs+Dh8X7cNaRvq9WvmWX1bDx2mb2xBViYGvPUlACWjPDq8nBka5zJKOeF/YlkljUwwseB5eN8GePv3OK4hRAcSytjw9EMLmRX4d/HmjfnhHbqQvTNoNYI/nMqk09+yUCmVHPPMA/uu9Ubfxf9VJvrtdJWkqRRaEMzK29mcC3RUcEXQlBSK6derqSgWkZUdiU/J5eSXFSLlZkxS271YtkYnzb3SjEEZEo1X/+azWdHL1PTpMTL0ZLpoW6Ee9rj4WCJpZkxdTIVmeX1nEov50hKKaV1crySdjRWAAAgAElEQVQcLVkxzpe5Ef26ZDHrZimqaeKfP6ayL7YAjYARPg5MDHQhqK8trrYWGBtJlNcrSC6q5VhqKacyypEpNYwd4Myjt/vpdN2jMzibWcFbh5KJz6+hl6kxU0NcGenriL+LDfaWpqg0gqJqGdE5VRxJKSE+vwZzEyMWDvNk+ThfXO0M7w31RijVGrafz+XjX9Ipr1fQ186COwf3JdzTHm8nS6zMTGhQqMgub+BURjlHkksprJHR186CZWN9WDTcyyAq09tKWZ2cj35OY8eFPFQaQYSXPZOCXAh1t8PVzgIbcxOdLKzrXPAlSRoCLALmA1nAbiHE+g6N8jp0VPDlKjUBL/zw22djI0n7lxzowvyhHthZdl76oa6RKdV8n1jEzgv5XMiuRKX547+bjbkJYwOcmRbixpRgl24l9NdSXCNjd0w+u2PyySxruO42/ex7MTHQhbvD+xn8G0xLCCGIz69hx4U8vk8sorpR+YdtJAnCPHozIdCFBbd4dHrhmi6Rq9T8fKmUHVF5nL1cgUL9x4VrSzNjRvs5cUeoK9ND+3Yrob+W8no5e2MK2B2TT0px3W/fW5ubkPjqlA4fXyeCL0nSAOAeYCFQAewAnhRCeHV4hDdAFyGdbedzsTQzxsXWgkBX224t8jeiQa4itaSOgqomZEo1VuYmeNhbEuBq061/MW5Eaa2MtJJ6yuvlqDWC3pam+Dpb4+VoafBhufai0QgyyxvIKm+gpkmJqbGEs405A11tcTCwMJUukCnVpBRr7+VGhQpLMxPc7Xsx0NXGIGP0HaW8Xk5acR1lzffynPCO16HoSvA1aPvZ/+Mq85NMIf6vvfMOj6ra+vC7U0kgJIRQE5JJIIROCtJREQQUEQRUpFiuXiwIolwr9nIt2FBU5Fqun4QmoICigDTpJQkhkJCE9EJ6L5NM2d8fM3gjUlKmJTnv8/CQmcyZs3Zysmafvdf6/WRAkyO8UjBC5AOm6LzyAgpM8D7NgdY0VlDG25JpTWMF043XzxQm5jMwzPD3CiF+A9ZhsDg0G/UN+loIIU7W9xOvudOaxgrKeFsyrWmsYJ3xXvH+X0r5o5Tybgzm5fuAJ4EuQogvhBATrvXGQogeQoi9Qog4IcRZIcQTJotaQUFBQaHBXHPBV0pZKaUMl1LeBvgAp4Dn6vHeWmCJlLIvMBxYIITo16RoFRQUFBQajcUMUIQQW4AVUspdV3qNl5eXVKlUFolHQUFBoSUQERFRYIo1fJMhhFABIcCxy3yvrlom1jZAUTAj9bBHVFBoDtTHHtFSCCHqXehi9oQvhGgHbAIWSynLLv2+lHIVsAoMZZnmjseWqK7VkVVSRVWtDhdHe7p7uNikSbJJCA+naNEScuxd0XcOoH1JBd0eeRRHaJFJX6+XZJVUU1qtQQjo5OZMp3bOLa6M9CJqjY6skmoqa7S0cbSnm3ubRnnmNgfCY8J5eOuT1Na2xZEAsoqrmL/1UQCrJf36YtbsIoRwxJDsw6WUm815ruZCYm45G05mcCyliNjssr81UA3wbs+YwE7cNqgb/bs332YiMLSY/5GQz7bobE4e0ZD+z6//8v02GjXDdiQxxjeZO0K8m1UH9OUoV2v4KSqLPefyiEwvobT6rw1UndycGRPoxU19OjOxf1eb1DVqCGmFlaw/kcGR5ELOZJWi0f31Wu7T1Y0xgV7cOrAbIb4drBSlaZBSciSpkB+jsvjhVA1eum//+v0aDUt/SKK8KIk7QrxtUqMLzLiGLwxTme+AIinl4vocY22LQ3NyJKmQ5bsTOJpchJO9HaF+HoT5daB3F7c/W8pTCio5fL6QyPRitHrJ6F5ePHpjT0b1so6Oe2PR6PSsPZ7Ofw4kk1FUTQdXR4ZF7Sc0O44eJbk46LUUu7gT29mfP/xDSe7og7ODHTPDfHjkhp42KQJ2NfLLa1ixJ5GNEZlU1uoI6NSWoSpPBvl44NXOCb2U5JSqiUgv4WBiPsVVGrq5t+Efo/yZO9zPJsy/G0JUejEf/57I/oR87O0Eob4ehPp1oE9XN9o5O1Kt0ZFeWMnhpEJOphZTq9NznaoDD1/fk3GNEE6zJjq9ZFNEJiv/SCI5v5L2bRzIqT1Ijd05tHYXkGiwk244SRVtdCE4SRWO9oKpwd48ckNPs9lo1sWsWjoNCGI0hsatul64L0gpt1/pmJaY8DOKqnjrlzh+O5tDN/c23DtCxV1DfK46my2t0rDmeDrfHkohr7yGSf278vKUflb3zqwPfyTk8/rPsZzPq+A6VQfuG6liQr+uOPUKgMu5mfn5cf54DF8dSGFzZBZCwIKxvZh/fYDNd1rWavV8eyiFT/cYRLKmBntz7wg/Bl/FYk+vl+xLyGPVH8kcTS7C28OF127vbzPKnlcjt0zNu7+eY3NUFl7tnJk33I9ZQ3tcdTZbUaNlw4kMvj6YQlZJNWMCvXh96gD8rWh2Xl9OpBbx6taznM0uY5CPO/eNUDF5UDf6fNaTtNK/X8t+7n7sn3eWbw6msOFkJhqdnofGBLBoXC+zOn/ZRMJvDC0p4Usp2XAyg9e2GTzbH7uxJw+NaVgSq9Hq+PpgCp/sTkQgeOm2fmYzZ24qlTVa3vg5lnUnMi4vgxseDvPng1EiGABXV1i16s81/JxSNW/+EsvPpy8Q4NWW5bNCbFYj53xeOYvXn+JMVhnj+nRm6eS+DdZmP5pcyEs/nSExr4JbB3bl33cMxMPVNuUTfj5tMNBRa/U8NNqfx8b2apAvsFanZ/XRND7YmUCNVs/TE4N4cLS/VRzXroVao2PZjni+PphCd/c2PHdrX6YM6vbntRweE878bfOp0vzvWnZ1dGXVlFV/ruEXVNTw7q/n+CEiE28PFz68a7DZfG+VhG9lytQanv4hmh1ncxkR0JH37xrcJNORjKIqXvgxhgOJBdwyoCvvTB9kUxpBZ7JKWbAmkvQ/TVsCL286Us8qnT8S8nl202kKKmp4dlIf/jHKthLDmmPpvLbtLK5O9rw9fRCTBjTetEWj0/OfA8l8uDOBzm7OLL8nxKbkf6trdSz9KYbNkVkE9/Dgo7uDmzQ7zytT8+JPZ9gZm8v1vTvxwZ2D6eRmO3s35/MqWBAeSXxuOfeO8OP5W/pedsmtvlU6J1KLePqHaNKLqlh4UyALb+plclFDm0n4QohJwHIMBihfSSnfudrrW0LCr2ts/MykIB4aHWCSZKXXS/5zIJllO+Lp7uHCf+4dQlBX8+hrN4Qtp7J4ZuNpOrZ14qO7g002iympquXZTafZcTaXSf278sFdg61ewVSr1fPK1rOsPZ7OmEAvPrhzsMl8Y6MzSli0LorM4mpemtyX+0aqrH4nl1FUxcPfRxCXU8bCmwJZZKJkJaUk/Fg6b/wci4erI1/OG0LwVZbBLMXvsbksXn8KZwc73jehE15FjZaXt5xhc2QWo3t5sWJ2iEnv5Gwi4Qsh7DFYHN4MZGJwzLpHShl7pWOae8LfHZfL4nWncHKw4/M5oWa5hYtML+aR7yOoqNHy4V3BTZpdNgWdXvLub+dY9UcyQ/09+XxOqMkle6WUfH0whX9vjyOws8EQ27ejdTZ088rVPLo6koi0Yh67sSdLJgSZ3HSkXK3hqQ3R7IrN5a4hPrwxbYDV7BmPJBWyYE0kGp2eT+4JMYsNaNyFMv75fyfJK6/h7TsGMiOs6cqRjUGvl3y29zwf/p5A/+7tWTVviFn2yzacyODFn87Q1b0Nq+4No0/X9iZ5X1tJ+FYxMd8UkcnYPp0tKiUrpWTFHvNfMBfJLVMz//sIojNKeHJ8bxbe1MuiSx4lVbUsXBvFgcQC5g334+Up/cxaYnggMZ/H10QhBHw2O9TiVUvRGSU8/H0EpdUalt05iNsGdTfbufR6yce7E/lkdyIhvh58OTfMZHcR9UFKyXeHU3njlzj8vdqyal6YWX1jiyprWRAeyZHkQh4a7c9zt/SxqI9DZY2WJRui+e1sDtOCu/POjEFmLRb464RtMJMGNN2DuCEJ35w/WW8go87jTONzf0EIMV8IcVIIcTI/P79JJ8wpVfPCjzHcvuIgsdl/6/EyC5U1Wh4Lj+SDXQlMHdydjY+MNHs1TZf2bVg/fzgzQn346PcEHguPpLJGa9ZzXiQht5ypnx3iaHIh70wfyBvTBpi9nnxMYCe2LBhFp3bO3PvNcb45mIKl9p42RWRy55dHcLAXbHp0pFmTPYCdneCpm3vzxZxQ4nPKmbLiIO/8Zx0qlQo7OztUKhXh4eFmObdao+OZjad5dVssY4M68+NjI81uEu7Z1on/e3Ao949U8dXBFB747wlKqmrNes6LpBdWMf3zw+yMzWHprX356O5gs1eGhfp2YNvC0fTu4sZzm2P+1qthbsw5w78TmCilfMj4eB4wVEq58ErHmGKGf3E2VlJdy7KZg5ky2Hx/oMn5FTy6OpLEvHKev6UvD43xt+i6q5SSbw6l8tYvsQR0aseX88LMapj88+lsnt14GhcnB76cF0qYn2U3FytqtDy5/hS7YnO5I8Sbf98x0Gw17LVaPf/eHsd/D6cyIqAjn80JtbgBSdyFMmZ/vo8itZ6iXSupiN4BgKurK6tWrWKOCTuUs0qqeSw80rCXMC6QxeMCLb5RfnHJo4u7M1/MCWOAt/kqtPbG5/Hk+lNICStmhzAm0CTK7PVGrdGRnF9Jv+5NX9Zp1Us68Nf11kdu6Mm/JvQ2+W3i9pgLPLPxNI72guWzQri+t2UvmLocPl/A42ujqNXqef/OQSa5TaxL3eQX4uvBF3PCrOalWne9NaiLGyvnhqEycU13Vkk1C8IjOZVRwoPGZQZrdcWqevenOvhuXALCqDi9k6JdK5HaWvz8/EhNTTXJOfbF57F4/Sm0OmmW66chRKUX8+jqSIqrannrjoHMNPG6vk4v+fj3BD7dc54+Xc1z/VgaW0n4Dhg2bccBWRg2bWdLKc9e6RhTbtrWaHW8ujWWtcfTCfPrwPJZwfh0aPqGX61Wzzu/nuObQykE9/Dg8zmhNtEQlV1SzaPGGdr86wNYMqG3STb8skuqWbAmkqj0Eh4YpeL5W/rahI3ivvg8nlh3Cr2ULJtpuiS1PyGfxeui0Ogk780cxK0DrZf8AOzs7JAI3EfPxmPkLGpyzlOw9T10JRfQ6//uBdsQdHrJ8t2JfLonkaAubnwxN8wmGqIKKmpYuCaKI8mFzB7my4uT+5qkcamgooYn1kVx6Hwhd4YZNsVtvbmvPthEwjcGcivwMYayzG+klG9d7fXmqNLZciqLpT+eQQh4cXJf7gzr0ehb1eiMEp7ddJpzOeXcP1LFC7faRvK7SI1Wx+vbYgk/lk7vLu344M7gRjcu6fWSdScyeHt7HHopeW/mYCYPsm7yu5SMoioeC48kJquUqcHdeXVKfzo0ctmlTK3h7e3nWHs8nT5d3fh8TqjZ16/rg0qlIs3YoezScygdJz+JcHDCLmYbyb990+hr+VxOGc9uiiE6o4QZoT68OW2ATUk8aHV6lu2M58v9yfh1dGXZzMEM9W/cEqKUkq3R2by2LdbQIDh1AHdd18PEEVsPm0n4DcVcZZnphVX864dojqcWEerrwctT+jeo7je3TM1ne8+z+mgandyceXPaQG624Vb4vefyeG7zaQoqarlrSA8Wjw9skJhTRFox7/12jmMpRQwP8OSd6YNs9rZXo9Pz+d4kPt2TSHsXRxbe1IvZw3zrfXej0en5MSqLD3bGk19ew4Oj/Xnq5iCbSX7h4eHMnz+fKmOHsn07Tzrd+gTO/mEM9Hbn2Ul9GB1Y/6qlwooaVv2RzNcHU2jv4sgrU/px++DuVq/5vxJHkwt5emM0mcXVTAv25qmbezdIa+lMVinLdsSzPyGfwT08eHfGQJOVQ9oKSsK/DFJKNkVm8fb2OAoraxke4MkDo/wZE+h12dtFvV4SlVHCT1FZrD+ZgU4vmT3Ul6cnBdG+Gci+llZp+Oj3BMKPpWFvJ5ge6sOMUB9CfT0u+8ddVavlj4R8wo+lcyCxAM+2TjwzMYi7r7NNKYdLic0u481fYjmcVIi3hwuzh/kyLcT7ih3OOaVqfj1zgW8PpZJeVMVAb3fenDbgqjo41iI8PJylS5eSnp6Or68vb775Fu3638iyHfFklVQzzN+Tu6/rwaQBXS97LUspOZNVxpZTWaw5nk61Rsf0EB+WTu5r8Y3oxlBZo+XTPef59lAKeimZGuzNjFAfhvl7XvYOR63RcTCxgHUnMvg9Lpf2bRx4Ynxv7h+pMnnvhC2gJPyrUK7WsO54Bt8cSuFCqRonezujamU72rs4/qnrfTK1mLzyGhztBdNDfFgwtpfVmn6aQnphFZ/sSeTn09moNXq6u7ch2NcDnw6uODvYUVatIbmgkhOpRag1erzaOTP/eoOKozkFn8yBlJIDiQWs2Hue4ylFCAH9urWnb7f2dDa27xdW1BJ7oYyYrFIABvm4s+imwGan4giGxLb6aBrfHUklo6gaF0d7Qnw96NmpHe4ujmh0erJKqolKLyGrpBp7O8Ftg7qx8KZe9Ops/S7thnKhtJoVe86z5VQ2FTVaOrk5E+rrQY8Orrg42VOu1pJaWMmJlCIqa3V4uDryj1H+3D9K1SwmaY1FSfj1QKPTcySpkAOJ+RxJLiStsIqKGi1O9nZ0c29Df293JvTrwtg+nVvExVJRo+XXmAvsS8gnNruM7JJqanV62jk54NvRlSF+HZg4oCtDVZ4WbXwxFxlFVWw5lcXR5CLO51VQUFGDBDq4OtGrc1vGBHZiYv+uFpGvNTdSSk6mFfPL6QtEpheTWlBJeY0WR3s7urR3pl+39ozv24Xxfbs0eo/Dlqiu1bEzNoc95/KIySolu6QatUZPO2cHfDq4EOrXgUn9uzI8oKNN7bGZi2ab8IUQ+UC97bqughdQYIL3aQ60prGCMt6WTGsaK5huvH719bS1qYRvKoQQJ+v7idfcaU1jBWW8LZnWNFawznjNdr8jhOghhNgrhIgTQpwVQjxhrnMpKCgoKFwbc+7KaYElUspIIYQbECGE2HU1tUwFBQUFBfNhsSUdIcQWYIWUcteVXuPl5SVVKpVF4lFQUFBoCURERBTUdw3fInV3QggVEAIcu9rrVCoVzVkPX8GM1NMtS0HB1qmvW1Z9EULUu9DF7AlfCNEO2AQsllL+TbNYCDEfmA/g6+tr7nAUmiOX+uGmpRkeg5L0FZoVl/rhppWmMX+b4VpuStKvL+bW0nEEfgZ2SCk/vNbrm1qHL6Xk+c0xuDjZ07V9GwZ4u3OdyrNF1eLWaHVEZ5Ry5mL9sVZHWycHfDxduU7VgaAubs2ugehqlFTVcvzmmSRIFwpcPdALOzzU5fQszGSkrpBO8THWDtFkSClJK6ziZJqhlr60WoODvaCTm6GWfnhAxxYh9nURjU5PTFYpMZmlZBZXUa3R4eJoj08HV8L8OtC/e/sWdS2XqTUM+ngaxRWu2EtPQFLs9B8A/Nz9SF2c2qj3bUgdvtlm+MLwm/oaiKtPsjcFtTo9++LzqajRUmE0BGnn7MANQZ34xyh/wvw6WCIMs3Aup4x1xzPYHJlJmdowtjaOdrg42lNZq6NWa1BO9PZwYfKgbvxjlL/VJIybik4v2Xsuj3UnMtgbn4duzMMAuKkrsJd6ypzborczJL7Bnx3izjAfZob5NNtkWFqt4aeoLNadyCDuguEm2N5O4NbGAZ1OUm68ll0c7Rkd6MUDI1WM6Nmx2SbDpPwK1p/IYFNEJoWVBrMTZwc72jo7UFmjpcZ4LXdp78wtA7rx4Gj/Bunn2BJ6veTg+QLWn8hgZ2wO6B6jA6CnEp0ophhDwk8vTbdIPOaURx4NHABigIs6ri9IKbdf6RhTdtqWVmk4kVrE7nN5/HbmAsVVGoYHePL0xD7NKvGnFVby3m/x/BJzASd7OyYO6Mptg7oR6tsBr3ZOCCGQUpJVUs2BxAJ2x+WyNz4feyGYEebDUzf3ppObab1mzcm++Dze3n6O+NxyvNo5MyPMm3EvP07/6MO01agBqLVzIKGTH3tDx/PbpDmczS6jk5szj97Qk3tH+DWbTuEarY7vDqfy6Z7zlKu1DPBuz4xQH0b38sLfq+2f4yhXa4hML2F3XC7bY3IoqKghuIcHz0wMYqSF7R6bwoXSat7fkcDmqEzshWBc385MGdydIX6edGnv/Oe1nFOm5tD5QnbH5bI7Lg+dlEwd3J0lE4OuqI1kixxLLuSt7XGczizFw9WRO0K8+TZ2MenVh5Ci+i+vtdQM36Yar8wlrVBVq2Xt8QxW/ZFEXnkNs4f68sykPri72K5kgkan59M95/li33kc7OyYf30A949U1as1PqOoilV/JLP+RAZtHO14/ta+3D2k8bLQliCnVM3zm0+zNz4fv46uLJkQxC0DuhqMRy5dwwdwdYVVq5CzZ3MkuZAVe85zOKmQvt3a8/b0gQ1SQ7UGh5MKeHbTaTKKqhkb1Imnbg6ql5S1WqNjU2QmX+xLIrO4mukh3iyd3JeOJjaQNyU6veSrA8l89HsCej08MErFg2P86ex27TvQnFI1Xx1IZvWxNOyEYMmEIJsXQSusqOHlrWf55fQFurm34cmbezM1uDvODvZ/W8MHcHV0ZdWUVY1ew1cS/hWoqNHy0a4Evj2UQpf2bVg+K6TRGtvmJDG3nCc3nOJMVhl3hHjz3C19GiRvfJHzeRUs/TGGYylFjAn04sO7gm1ytr/lVBYv/XSGWp2eJTcHcd9I1d/3Xa5RpSOlZMfZXF7Zeoa88hoWju3FonGBNjfbV2t0vPdbPN8cSsHfqy1vTB3QIHnjuu/z2d7zrNyfRPs2jnxw12BuDOpshoibRnphFUt+OMWJ1GIm9OvCS7f1a9TyTEZRFS9vOcPe+HzC/DrwyT0hNjnb3x2Xy7ObYiir1vD4Tb3455iAv0ltm6FKR0n4V+N0ZgmL1kaRXlTFk+N7s2BsL5uZ/W6LzubpjdG4Ojnw7zsGMmlA1ya9n5SSNcfTeX1bLG5tHFk+K5hRNrIMUKvV88bPsXx/NI0QXw8+vCu4yY5L5WoNr26NZVNkJkP9PflkVojN7GVklVTz8PcnOZNVxn0j/Hjulr5N1t1PyC1n0doozuWU8/ANAfxrQpDV7BgvZe+5PBatiwLg9an9mRbs3aR9h4tGJkt/PIO9nWDZzEFM6N+0vw9TodNL3t8Zzxf7kujT1Y2P7g6mbzfL6O7bTMIXQkwClmNwvPpKSvnO1V5vSbXMihotS3+MYcupbG4M6sTHdwfj4Wo9JUGdXrJsRzwr9ycR5teBL+aE0rkRs/orEZ9TzuNrIknKr2DJhCAeu7GnVTf98strWBAeyfHUIh6+PoCnJwaZdDa+OTKTF386g6uTPStmhzI8oKPJ3rsxHEsu5LHwSGq1ej66O5jxJjTQUWt0vPGzwelsqL8nK2aH1Gu5xFxIKflifxLLdsTTt2t7vpwXZtJN19SCShaujSImq9RsntUNobRKw6J1UexPyOeeob68ens/k9iL1hebSPhCCHsMnrY3A5kYPG3vuZq0giUTPhguzPBj6by27Sxd3duwcm4Y/bs3zhKwKdS9YGYP8+XVKf3NUkpaVavluU0xbI3OZkK/Lnxw12DcrCD9fDqzhIe/j6C4qpZ3ZwxiarC3Wc5zPq+c+d9HkFZYxfO39OHB0f4W/5CTUvL90TRe3xaLb0dXVs0bYjZJ5i2nsnh202ncXRz5fE4oYX6WX66sqtXy9A+n+SXmArcP7s67MwaZxT2sRqvjtW2xrDmWzqheHflkVohV9jESc8v55/+dJKukmldv78+cYX4Wj8FWEv4I4FUp5UTj4+cBpJRvX+kYSyf8i0SmF/PY6kiKq2p5e/pApof6WOzcCbnlzLfgBSOl5NtDqby1PQ4/T1e+nBdGYBfLmWFsjszk+c0xeLVz5st5YQzwNu8HbLlaw79+iGbH2VxuG9SNd2cMoq2zZYxdarQ6XvrpDBtOZjKuT2c+mhVsdm+FuAtlPLI6guySal66rR92SYd48cX/uWW99dZbzDFTs1p6YRXzvz9JQm45z93Sh3+OCTD7B+yGkxm8+NMZvNo68cXcMIs6lu04m8NT60/h4uTAF3NDuU5lnf1AW0n4M4FJUsqHjI/nAcOklI9f8rq6nbZhFw2bLU1+eQ2Pr4nkWEoR947w48XJ/czesPXbmRyWbDBcMCvnhjLEghfMseRCFqyJoqpWyzILGJRrdHre+fUcXx9MYXiAJ5/NDrXYjExKycr9ySzbcY5enduxcm6Y2Q3Kc0rVPLI6glMZJSy8qRdPju9tsX2i0ioNT244xZ5zeajP7Sfvl0+Q2hoAXF1dWbVqlcmT/oHEfBaujUJK+PSeEK7vXS9pF5MQk1nKI6sjyC+v4fWp/Zk11Lwd+3q9ZPnuRJbvTmSwjzsr54XRzd16G8i2kvDvBCZekvCHSikXXukYa83wL6I1JqWvDqYQ5teBz+eENqo6pj7nWbYzni/3JzO4hwdfzg2zysZibpmaR1dHEJlewj/H+PPspD5mWQvNK1Pz+JoojqcWcf9IFUsn97XKxuLBxAIWro1Eq5N8cNdgs234HU4qYNHaKKpqdXxw52BuGWjeD9PLoddLAqY8hhxwK5q8VPJ/fAttaS4Afn5+pKammuw8n+87zwe7Egjs3I7/3DsEv46WN7wvqqzliXVRHEgsYNZ1PXj19v5macQrqapl8fpT7IvPZ0aoD2/dMcDqDX+2kvCbzZLOpWyLzubZTadxdXLgs9khDDPhhl9+eQ2L1kZxJLmQOcN8eXmKZTd4LqVWq+fNX2L5vyNpDPP3ZMXsUJOWbh5PKWLBmkgq1Frenj6QaSHmWa+vL1kl1Ty6OoLTmaUsGNuTp24OMllNt5SSL/9I5r3fzuHv1ZaVcy27XHYpdnZ2OPuH4TXlXyAlBT+/jzo5AiEEer3+2m9wDUqrNSzZcIrf4/KYGtRT+10AAAxxSURBVNydt6cPtKoPsk4v+XBXPJ/tTWKQjztfzA0zaelm3TuJl6f0Y84wX5vodraVhO+AYdN2HJCFYdN2tpTy7JWOsZWED4a19Ye/jyC9qIoXbu3LP0apmvzL3Z+QzzMboymp0vDvOwYyI8xyewXX4uLaegdXJz6fG0qob9O6kTU6PV/uT+Kj3xPx9XRl5dwwgrrahnG2WqPj1a1nWXcigzGBXnwyK6TJXq955Wpe2BzD73F5TB7YjXdnDqKdhfYKroRKpSItLQ0Hj650mvYCjp1VlB5cg0fWUVJTU5r03idSi1iyIfrPvYJ7R/jZRPIDw9r6kg3RODnY8ek9IU0uQ9brJf89nMo7v53Dq60Tn88Ns6nGPptI+MZAbgU+xlCW+Y2U8q2rvd6WEj4YxI6WbIhmV2wuY4M68cqU/qgaUSdeWqXhzV9i+SEik56d2vLpPaH0626ZGt2GcDbbMIPJKVUz//oAFozt1agZ29nsUp7ZeJqz2WVMHtSNt6cPtEkj+LXH03lly1k82zrx4m19mTywW4OTlpSSzZFZvP5zLNUaHc9O6mOSyYEpCA8PZ/78+VRVVSEcnPGcuIB2A27Cv62Wlf+8qVEfwBU1Wt7fEc93R1Lx9nBh+axgq1QDXYuk/Aoe+T6CpPwK7hupYvH43o3qrE/Kr+DZjac5mVbM2KBOfHBXMJ42ZgRvMwm/odhawgfDp/u3h1P5cGc8Gp3kgVEqHqinMFlFjZZvD6aw6kAyVbU6Hr4+gEXjAq2+5nc1SqpqeW1bLD9GZdHNvQ2LxwcyNdi7XjGnFFTy8e8JbI3OpmNbZ96Y2t8q69cN4XRmCc9tiiH2QhkjAjqyaFwgwwM8r5mwpZTsi8/ng13xnMkqI8yvA+/NHERPM28GN5Tw8HCWLv1flc60JcvYV+xOuVrL3GG+PDQmoF418mqNjtVH0/h8XxJFlbXcP1LF0xODLFbx1Bgqa7T8e3sca46n07GtEwtvCmRmmE+9Ys4qqebT3Yn8EJFJO2cHXpnSjztCmtY4Zi6UhG8G8srUvPPrOX48lYW9EEwc0JXxfTszPKDjX3boy9QaIlKL2XY6m51nc6mo0TK+bxeWTOhtsc47U3AytYjXtsUSk1WKZ1snpod4MzrQiyEqzz+XKqSUXChVcyAxn63R2RxJKsTJwY77R/rzyA0BVm1kawg6vaEb+aNdCRRV1tKnqxt3hHgzomdH+nVr/+dGtlanJyG3gp2xOWyNziY5vxKfDi48MS6Q6aE+Nq3vUpfiylre3xnP+hMZ6KVkXN8uTOjXheEBHf+S/CtrtESll/BLTDbbY3IordYwJtCLJROCbGpJ41qcySrl1a1nOZlWjFsbB6aHeDMmsBPX+Xv+ZdafW6bm0PkCtkZnczCxADshmD3MlwVje9mkJMlFlIRvRtILq/juSCobIzIprdYA4NbGgXbODlRrdJRU/e+5Sf27Mme4X7P646iLlJIjyYV8eyiVvefy0OolQkDHtk442ttRWq2hqlYHgKqjK7cP7s7cEX5W7fJsCmqNji2nsvjv4bQ/ZYqd7O3o0NYRKQ2VIBd/BkNVnswI9WFaiHez9Vu4UFrN90fS2HAyg4IKg0xxO2cH3No4UKPVU2SULnZ1smdCvy7MGupr9Y7lxiKlJDK9hG8OpbArNvdPOXHPtk44O9hRrv6fpLq3hwu3De7GvSNUNqnXcylKwrcAOr0k7kIZx1KKSC+spKpWh7OjHd3cXRjo7c6wAE+rVt+YmqpaLZFpJUSkFZNTpkar09PexRG/jq6E+rY8s4q8MjVHU4o4m11KcWUtAkHHdk4EdXVjmH9Hm9HnMQV6vSQxr4KjyYWkFFRSWaPF0cGObkYToeEBHc3SLWst1BodUeklRKQVkV2qRqPV09bZAb+OroT4dmCwj3uzupabbcIXQuQDpui88gIKTPA+zYHWNFZQxtuSaU1jBdON16++JuY2lfBNhRDiZH0/8Zo7rWmsoIy3JdOaxgrWGW/zXHxUUFBQUGgwSsJXUFBQaCW01IS/ytoBWJDWNFZQxtuSaU1jBSuMt0Wu4SsoKCgo/J2WOsNXUFBQULgEJeErKCgotBJaVMIXQkwSQsQLIc4LIZ6zdjzmRAjRQwixVwgRJ4Q4K4R4wtoxmRshhL0QIkoI8bO1YzE3QggPIcRGIcQ54+94hLVjMidCiCeN1/EZIcRaIUTL6WwDhBDfCCHyhBBn6jznKYTYJYRINP7fNInaetBiEr7RQ/cz4BagH3CPEKKfdaMyK1pgiZSyLzAcWNDCxwvwBBBn7SAsxHLgNyllH2AwLXjcQghvYBEwREo5AIO67izrRmVy/gtMuuS554DdUspAYLfxsVlpMQkfGAqcl1ImSylrgXXAVCvHZDaklBeklJHGr8sxJATruouYESGEDzAZ+MrasZgbIUR74HrgawApZa2UssS6UZkdB8DF6KPhCmRbOR6TIqX8Ayi65OmpwHfGr78Dppk7jpaU8L2BjDqPM2nBCbAuQggVEAIcs24kZuVj4Bmg6VZNtk8AkA98a1zC+koIYXnfQAshpcwC3gfSgQtAqZRyp3WjsghdpJQXwDCBAzqb+4QtKeFfTu2oxdecCiHaAZuAxVLKMmvHYw6EELcBeVLKCGvHYiEcgFDgCyllCFCJBW73rYVx7Xoq4A90B9oKIeZaN6qWSUtK+JlAjzqPfWhht4WXIoRwxJDsw6WUm60djxkZBdwuhEjFsFR3kxBitXVDMiuZQKaU8uId20YMHwAtlfFAipQyX0qpATYDI60ckyXIFUJ0AzD+n2fuE7akhH8CCBRC+AshnDBs+my1ckxmQxj0W78G4qSUH1o7HnMipXxeSukjpVRh+L3ukVK22BmglDIHyBBCBBmfGgfEWjEkc5MODBdCuBqv63G04E3qOmwF7jN+fR+wxdwntF1/sgYipdQKIR4HdvA/D90rGqa3AEYB84AYIcQp43MvSCm3WzEmBdOxEAg3Tl6SgQesHI/ZkFIeE0JsBCIxVJ9F0cJkFoQQa4EbAS8hRCbwCvAOsEEI8SCGD707zR6HIq2goKCg0DpoSUs6CgoKCgpXQUn4CgoKCq0EJeErKCgotBKUhK+goKDQSlASvoKCgkIrQUn4Cs0GIYROCHHKqKoYLYR4SghhZ/zeECHEJ1c5ViWEmG25aP92fhchxH6jyF99j3lcCNFiyzEVLI9SlqnQbBBCVEgp2xm/7gysAQ5JKV+px7E3Av+SUt5m3iiveP4FgIOUcnkDjnHFML4Q80Wm0JpQZvgKzRIpZR4wH3hcGLjxok6+EOIG453AKaP4mBuGJpcxxueeNM74DwghIo3/RhqPvVEIsa+OFn24sfsTIcR1QojDxruL40IIN6NG/zIhxAkhxGkhxMNXCHkOxk5K4zn2CyE2CCEShBDvCCHmGN8zRgjR0zjGKiBVCDHUrD9MhVZDi+m0VWh9SCmTjUs6l6oM/gtYIKU8ZBSXU2MQH/tzhm+cPd8spVQLIQKBtcAQ4/EhQH8MWkyHgFFCiOPAeuBuKeUJo4RxNfAgBnXH64QQzsAhIcROKWXKxWCM3bIBUsrUOjEOBvpikMxNBr6SUg4VBiObhcBi4+tOAmOA4037aSkoKAlfoflzOZXUQ8CHQohwYLOUMtM4Sa+LI7BCCBEM6IDedb53XEqZCWCUrVABpcAFKeUJgIvKpEKICcAgIcRM47HuQCCQUuf9vIBL9exPXJTGFUIkARflgGOAsXVelwf0ueLoFRQagJLwFZotQogADMk6D8NsGQAp5TtCiF+AW4GjQojxlzn8SSAXw0zbDsNdwEVq6nytw/B3Iri83LYAFkopd1wl1GrgUsu+uufQ13ms569/l22MxysoNBllDV+hWSKE6ASsBFbISyoPhBA9pZQxUsp3MSyJ9AHKAbc6L3PHMGPXYxChu1b1zDmguxDiOuM53IzuTDuAR41S1Qghel9qViKlLAbsReN8WnsDZ675KgWFeqDM8BWaEy7GJRZHDKqK3wOXk4ZeLIQYi2F2Hgv8imHmrBVCRGPwF/0c2CSEuBPYi8Fk5IpIKWuFEHcDnwohXDDMusdjsFxUAZHGzd18Lm9VtxMYDfzekAFjUEV9rYHHKChcFqUsU0HBAgghQoCnpJTzzHmMgsLVUJZ0FBQsgJQyCtjbkMYrDJu9L5kpJIVWiDLDV1BQUGglKDN8BQUFhVaCkvAVFBQUWglKwldQUFBoJSgJX0FBQaGVoCR8BQUFhVbC/wPJoxfudP9UgAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "fig, axes = plt.subplots(9, 1, sharex='col')\n",
    "phi = 0\n",
    "for t in range(9):\n",
    "    y = A*np.cos(2*Pi*x/lambda_ - phi)\n",
    "    axes[t].plot(x, y)\n",
    "    axes[t].scatter(t*lambda_/4, A, color='red')\n",
    "    axes[t].scatter(t*lambda_/4+3*lambda_, A*math.cos(6*Pi), color='green')\n",
    "    delta = 1.3\n",
    "    axes[t].scatter(t*lambda_/4+delta*lambda_, A*math.cos(2*delta*Pi), color='black')\n",
    "    phi += Pi/2 # à chaque 1/4 de période, le déphasage d'amplitude de chaque point du milieu est de Pi/2\n",
    "\n",
    "axes[8].set(xlabel='Distance (m)')  \n",
    "axes[5].set(ylabel='Amplitude (ua)')  \n",
    "axes[0,].set(title=\"Propagation d'une onde\") \n",
    "plt.show()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(3, 3, sharex='col', sharey='row')\n",
    "phi= 0\n",
    "for t in range(9):\n",
    "    y = A*np.cos(2*Pi*x/lambda_ - phi)\n",
    "    axes[t//3, t%3].plot(x, y)\n",
    "    axes[t//3, t%3].scatter(t*lambda_/4, A, color='red')\n",
    "    axes[t//3, t%3].scatter(t*lambda_/4+3*lambda_, A*math.cos(6*Pi), color='green')\n",
    "    delta = 1.3\n",
    "    axes[t//3, t%3].scatter(t*lambda_/4+delta*lambda_, A*math.cos(2*delta*Pi), color='black')\n",
    "    phi += Pi/2 # à chaque 1/4 de période, le déphasage d'amplitude de chaque point du milieu est de Pi/2\n",
    "    axes[t//3, 0].set(ylabel='Ampl')\n",
    "\n",
    "axes[2, 1].set(xlabel='Distance (m)')  \n",
    "axes[0, 1].set(title=\"Propagation d'une onde\") \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 18 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plt.style.use('classic')\n",
    "\n",
    "fig, axes = plt.subplots(3, 6, sharex='col', sharey='row', figsize=(12, 5))\n",
    "phi= 0\n",
    "for t in range(18):\n",
    "    y = A*np.cos(2*Pi*x/lambda_ - phi)\n",
    "    axes[t//6, t%6].plot(x, y)\n",
    "    axes[t//6, t%6].scatter(t*lambda_/4, A, color='red')\n",
    "    phi += Pi/2 # à chaque 1/4 de période, le déphasage d'amplitude de chaque point du milieu est de Pi/2\n",
    "    axes[t//6,  0].set(ylabel='Ampl')\n",
    "\n",
    "axes[2, 2].set(xlabel='Distance (m)')  \n",
    "fig.suptitle(\"Propagation d'une onde\") \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}