{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "23c88465", "metadata": {}, "outputs": [], "source": [ "import IPython\n", "from scipy.io import wavfile\n", "from scipy.io.wavfile import write\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "d467a8cf", "metadata": {}, "source": [ "## Read and play an audio file" ] }, { "cell_type": "code", "execution_count": 12, "id": "b5bfb770", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "len s: 29355, rate: 16000\n", "The duration of the audio file is 1.83 seconds.\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "rate, s = wavfile.read('speech.wav')\n", "plt.plot(s)\n", "IPython.display.Audio(s, rate=rate)\n", "\n", "print(f\"len s: {len(s)}, rate: {rate}\")\n", "duration_seconds = len(s) / rate\n", "print(f\"The duration of the audio file is {duration_seconds:.2f} seconds.\")" ] }, { "cell_type": "code", "execution_count": 14, "id": "03553795", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "t = np.linspace(0., 1., 16000)\n", "\n", "y = np.sin(2.0*np.pi*t)\n", "plt.plot(y)" ] }, { "cell_type": "markdown", "id": "80a73f27", "metadata": {}, "source": [ "## generate an audio file with sin signal" ] }, { "cell_type": "markdown", "id": "74c4cc47-5620-4736-b0a9-d5fd8b4bd4bf", "metadata": {}, "source": [ "**Integer PCM (Pulse Code Modulation):** In this encoding, audio samples are represented as signed or unsigned integers. The bit depth determines the range and precision of these integers. For example, 16-bit PCM audio uses 16-bit signed integers to represent each sample. The range of values is determined by the bit depth; for 16-bit audio, it typically ranges from -32,768 to 32,767 for signed integers.\n", "\n", "In integer PCM (Pulse Code Modulation) audio representation, the numerical values represent the amplitude of the audio waveform at a specific point in time. These values indicate how much the air pressure (in the case of sound waves) or voltage (in the case of analog audio) deviates from a reference point (usually zero) at that particular moment." ] }, { "cell_type": "code", "execution_count": 56, "id": "8bbf3733", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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H+GjgxP3XrzuKmWIu3DtS2W50cHmzgfvuUOvGVh+gbOBrDs/idXfMo9ntW/ff0nvth77xDgD2z/C5tR10+gPcd3werz0ya60PUHN+7ZFZ3Ht8Hs+t7Vr3LTh/rYbZYg5/++sOA7Cfs95r33XPASxPT4X2Ryqtbh/Pru3gnsOzuPf4nJN+hOevVXHXgRl848kFdPs+nrlpB5DodfMP3qTOKdu1fXmzgZ12D19/dA5ff3QOjznaK689Mov7js3j6nbTmm11/loNxXwG3//6owBg/V70M3zbXSs4vliyXje9/gBPXg/mHJxTtgDJE9dqOLVcwVtOL8H3lY9nI3qv/MAbjiGf9aznfLOmfC49Zxd75YnrNdwT6NvY7eCGZfLi/DV1Nv/AG1QrBdseZheu1+D7wJtPL+H0yrS1vsHAH+6V4/N48kbdGiB5/FoNR+dLeNurlE/35A27MZ4PbPT3ve4IyoWs9Trc2u3g6nYTrz0yi284Nuekr9z5azVls4/NY6fds+6p+vjVGjxvaGNt459nbqoy39efmMfdh2as/WxA+Uz3HZ/Hvcfm8OytHevkxaOrVRycncLfCkribd+zZhD+vXuPYL6ct36G9VYXz6/v4nV3zOO+Y/NOnuFjq1V83dE5vOHkIjq9AZ5fs/PpHg3AyR95i4oFXPVMvB0lBZn2mVy4XsNrDs/gzgOq78hzlpvl4sYuZoo5HJ0v4Y7FsrW+F4Kmi2dWpnFmZRrPr+1aOWG9/gBXNhs4szI9nLMlHfPixi5OLldwYrGMQjaD5yyzpVFztpHr1SY6vQHOHFBzbnb7uG7phF1c38XpYHyAg3WzvotCLoMTi2WcXq44eScAwjlf2ti1YpD4vo9LG7s4vVIZmbP9GI8vlnFsoYTpqZz1e9bghV7btvrWdzqot3q464B6z72Bb015f2F9B3cdnAmfoe0Yn1/bRcYDTi8He2Xd7p08HzzDuw5M486VaVyrNq2cMN/3Qxt7enl6z3dI5cL1urKvS2UsVQrWoJV2aF5zeBZnVqat9W03OrhWbYX6ADgZ4z1HZnF6pQJAXS5hI09cU8HAqw/N4sxKxXp8z9zcQX/g4zWHZ3F6ZRrrOx1ryvuF63Xcc2QWZw7odWM/5+XpAk4sVXB0voQXLPXpdaPGWMELaztWZ3Oj08PFjV3cc3gufM/2gGwVdx+axcmlCrIZ72W3Vy5u7KLdG6hnuDKNnXbPmkFy4YYKnId7z/49z0zlcGqpgjsWy7jo6Bnec2QOZ1YquLixa5X06vYHeOZmHfccnsWdes6W58qF6zXceWAap5crKOYz1mXYo3vlzpVpa9/h6nYT9XYvWDcVdHoDawaJOqdmQ7/Yfs51FHIZ3LkyjdMrFes5XwhAr3uCMV7abKDTs/PpnhyzsdZjvF7DicUy7lgsY66Ut9anARY9Z1u/eLvRwXajizsPTOPMgWkMfODShqVPt7G7N56y9YtH/VgHe0XP78xKBWcOTON6tWV9kYaacyW0Ny7mvDIzhSPzJRyaLeK5W24uG7gdJQWZ9pG0un1cr7ZwZmUaxxdKyGc9B4FzAyeXKvA8D2dcGIjA4JxYUgai0elbZamubjfRG/g4uVwJHVkXwNrJpTJy2QxOLpetDcTF9V0U8xkcmJlSzvv6rlWW6uK6MrInlspDgMTisBoMfFzabODUcgWHZosoF7LWQd/FjV3csVhGJuNm3eiD6uRSBaeXK+j2fVzZkjOPbtXbaHT6OLVcwZkw0LV9zw2cXCrD8zwnTtjFjV1kMx6OLpRwemUaV7YaVgCJvlVH7z3Abt34vo9L6w2cWCpjoVLAQtneCbu00cCR+RIKuYx6hpZ77/LGyF45UIHv2wW6G7sd1Ns9nAkcbcB+3Vza2A3fx6nligOAtwHPU3vl1HIFN2ttKyds6NRN49SyG7Dg0kYDp1emUZnK4dBs0Rqou7S5i0OzRVSmcjjtAGS6tKlBbWVvALtAd6fdw/pOG6dXKjixVIbnOVg3m40Q6Dy9UnHwDBuBrmmcWp5GrdWzYh5d2WzC99XYTjsCJy9vNHBmuYJCLoPjCyUHe6+B+XIei5UCTi2rdWMDrOm9cnpkr9i8l25/gKtbTZxemcbRhRIK2YyT93xyuYJMxsOpZXtgTZ8rp5YrOLU8jVZ3YJX0uhb4dKdXKji1Yv8MgWCvrKg5n152E+gW8xkcmi3izIEKLm3YASQ62XNqueIkuB8ECaTTKxWsTE9hpphzMGfl0+WyGZxZmbYGra6MzPnMyjT6A9/q5r+1ehvNbh+nl4dgge0YL20ov1jFPxVrfZc3G8hmPNyxWMaZlQquVVtWLU0ubkTEAg7W9omlCmaLeRyYmXKQIG7g8FwRxXw2SLK7STifWBr13eU6dSLgROAveR7sY74NFQsAyoewfSe3s6Qg0z4SXe5zdKGEXDaD4w6yVJc2dnEi2CynllWWysYJu7jRwPRUDsvTBSfOuzayJ5cqODJXwlQuY5Xp6w98XNlURhZA4HjaAyQnl7SDU0GnP8A1i9KsiyNOnX6GFy0O5xu1Fjq9AU4sKVDo5JJ9kKYAl+EzvLzZsGIeXdxooJDN4Mh8aSRgkb+XiyNg52KlgNlizmrOvu+HDDgAOL1csQetNhoBWJzBmRUFkNjQvy+NOCQuwIKtRhf1dg93LCr7cNoBS+/SZiO0N2dWpnGj1rJqtnlxYxeeBxxbcDPnqwGweWyhjJliHiszU9ZO0+pWE8cWSgACsMDyGa5uNXFotqiAOgc2VjfoPrZYGgbOFvp22wq80HM+5WCvjD7DU8sVbO52rPrK6TkfnS8NwUQLezO6bqZyWRxbKFkHzlfH5vyCJSt4dauBhXIe0wFQB9gF95qJcWyhhGMLJeQyntVe6fQGuFFr7ZmzrfO+utXE8eCW0tPLFTQ6fdysyZlH2j4fWyg5sTfXt1sY+EpfNuPhxFLZwV5p7LE3L1gyj1a3mijmM1ieLgzn7MLeLJRwcKaIUj5rNWff94O9EvixKxVrv/jKVgPHFlRC6dSyAkhsyu31Xjm+UA79phfW5Wf9+k4bnd4AxxZKKum1XAmTk/IxNnF8ZO9dCxj1Urmy2UQ24+HwXNEJ0/HKiI2dC4BjG78Y0HtFxz/TTvQdnisil83gVJAgsGEeaVBuNMlu8wyrzS42dzs4tTyM+VywO8MYcqUSMOrlrOC9fqx98iJ8hksVlApZHJmzZwVfXN8diyFTJlOcpCDTPpKrI46x/n99S4BEuv0BVrea4aF3ZL6EVneArYbcQGiD43kejgTjtBnj0EAogOSI5ZyvbTfR7fuhkT0yX8L1assSWBsa2XDOFg7JpY1dTOUyODhTxPL0FArZDK5ty+esHa5TwXs+ulDCdQt9ihm1GyL5R+ZLGPjATYuygYvruzi+qBxtvb6v2sx5YzhnvRZtbtlZ21HMqNG9crPWsmSsDUGrI+Gc7dZNJgBc5kp5zEzlcN3B3tOH6dFgr9iIArX1nNU12Ncs3svljQYOz6os2rF5tR5t9t5oAAQAdyyWrd5Jo7MXcLljsYz1nbYVY200iNRXQl/dljuyV4IA6Oh8CaVCFgdnp6xKOfTz0s77iaVy+FzFOkeCyDsW1fqx0bm6pRguM8V8qHfVojn5KOCixli2eobd/gDXq809+urtXnhDqESubA6f4YkAOLYZ4+pI0JcPEgQ27+RGNQBcFvW6qYQ+j1Su7NkrlfBnUtGAy1KlgKPzClizKUkeXzcnlspWiYYh4DJcN53eALcszubVYO95nhf6OS7mfHxB+XR3LJat9K3V22gHgAswPKfsANkh4KLPqesW58Ao4LJYKaCYz9jpC/aFBlCVX2y5VzaHgMuR+RJ8H7hpwVgbBVwOz6lnaeM/jO+VI/NFK7+42uyi1urh+KJeN0Xcqret+lheGdl74bqxeC8aOLxjsYxyIYf5ct5K35D57danG/WLAbv3fHF9FwdmplAu5EaeoY0fGxAVwpivaBVDNjo93Kq398Q/1WbXuo/l7SopyLSPZJTJBABH5kpWAdWNqgqSNVMhDPqsDtNGqO/wnIvDWdGWV2amQp224wOA48EYj86X0Oj0UWvKDITvq7Ku4ZztjawKBkrIZDxkMh4O2c55a++cj8wVrRyS9d02Wt1BGOC6cMJWtxvh+FZmppDLeHb6tprIeMOxHZkvWYFW+nas8D3Pl9Ab+FjfsXPetZMY7hWLdXN5s4HDc6oUTY3Rbt1ox18HFofniyoQFAJrtVYX241uGOCGe8XivVzebITrcLaUQ7mQtXI8tSOrbeyhOTVnqYwyXJQ+pdfOeR+CBa6cdw24AMCh2aLTYODQXDHMvEtkHHDRe8XmvYwyo4r5LBYrBasSoNWxoO/QbMlqfCHgMvaebUrPR8HJQw7szepWA1M5xXDROu3eyeS6qbd74lLQccDF3bpRgEsm4+HgbBE3LfUBI+tmrmj1jtd2FOByfMwHs1o3240QcFmZmYLn2ekbBVwANWcbezgOuByeK6LdG1iVgo7a2KMOEkCrWw0cmlWAi+d5ODJnF9xPAi4qcSgF1sYBlyNz9nMeBVyWKgUUchlHCSDtx9olDofP0C2wNgr8AXbx1OXNBg7OTqGYzyqdc3YJYu3TDf1YZW+kydJGp4f1nc6e2AKwXTfDGHKmmMdMMWcVC4zP2TbhHNrsxeE6BGDld97OkoJM+0iubqnD+dCs2siH54tBFkeWFdfG9MCsBnDsA5ZbtTYOBuMr5rNYqhSsUOObgT7P88Ix2hhZndHTY9RzloIu1WYXnd4g1KdBDRsje7PeCoMANcailVG8FZQHhO95voR6qyemtIb6ZoYADmDHWLtZa4frOhs47zbr8GatheXpKeSyAeBi+QzX6nv3ij5MpQ5Eq9tHtdnFwUCfWuN2QN31ait03AG1tm3ARB2MaZ1H5kro9Afi2x11MHZoRB9gx2RSc1Z6PM+zfs+rW03MFnOYDQCXw8E6lDrv48woWzCx199bUrRQzqOQyzgDXAAXYEH0nG/VZTqHgMvYM7QF6gLmG6CANVuAZBRwOTynsuJS5/1KBOACyNeN7/t73nO5kMNsMedk3QzP5iKu1xw472PAu3SM44CLPqOt5rzdmNgrVgmlrQYy3vD9Hp4rYbvRFTMdx/fecM5270UH4vlsBivTU5b6hoALoN6zLXgK7AVcAHnQV2t1UW12HQOyzRDA0WO0A63GAJf5EprdPraFVQjjgMthByycUcAlE4CKNj7ilc0GlqcLKBUCwGW+ZJlQGjunLFk47Z4qxdXPcGV6CvmsZzXnW/VW6BcDKr6wii2CfTYa//QHvvjyAh0LHJrdGwtYxWi1Ng6O+LFH5uwSxDdrLZQL2TCJdniuZJUs1c8wjMPn7PfK7SwpyLSP5Op2c8/hrIO0m1WZgdC9CQ6OGQhp4Nzs9FFv98JAHFCHlRVAUm/hwMxQn6K0tsT9fyaMrCV7S4NWBwJ95UIOcyU7SuutWjsEcAD7w/RmvYX5ch5TOXU42wa6t8YAF1vGWq8/wMZOe897PmLJwrlVb+9Zh0fmlfMupbTeHAPWbAHZtbF1k8+q8kgbh2RtZ3zORWtAtpTPYnoqB8D+MA33SvAMD86psUrfs+/7as4j60YBa3bltNoOAirAaHblTMeQfTq/N2CRBro3A+BCj9HzPGvm0bXtZniWAIETZnlZQyGbwXJFvRfN3pLOWa8PPeel6SlkM55VoHttuxmy1YAg0LV6hi0cnR8CLofmiuhbMB21vT/iaN1s7nbQ7g32rG3tbEslaq/crLbFgOy1ahPeCOBiCwpp26dt9WxRMR3t9kprcs5WTbBbODhbRD7w6VzP2fasb3R62G50Qz9J67xh0dfqWrUV2kNAzdmG6ajnpkEC2+RF+AwDfVO5LJanp6z8kevV1piNtfOLr1ebWCjnh4CLTnoJdUYllAA5UNfrqxLNwyPvWbFw3CSUAOXf7LR74ltBh3MelssBcn9Ex2E60ayZjjZzvlVrhz6iHqsVCaDeRj7rYaGsABdblt4w/lFn/YGZKWQ8O8DlZq01EQvYxZBD4gOg3nO3Lz+bh0l7d8Da7SwpyLSPRDl1IwbHsqdJCBYEG3qpUlD9f6z1jbEpbI3sqD7L/j+36m2UC/w1YKsAACAASURBVMPA+aglC2fI6hkNdOW14r6vsgrj+mz6/6hnOArU2YGJt8bAyZmi6v8j1bex28HAh9PD9GatjYMzex1jQO403aq3kM14WKoopoJtaen43gPsAdm18b0yV8LGbkecFddAnQ6cbTPE4+Ckdt6lh3Ot2UOnNwhLaYHAebewNwqoGz7DMIstZGis1dvwPITrRme/rMHJkTnbMo/W6u09z/DQXBH1lrxMaa3exvJ0AZnMkOECWMx5Zy84mc14ODgzJda32+6h0elPzNmqTKnexvLYOgTs37Me44GgTEmqb32ns0cf4GbOe/TNFtHpy8uU1uptLJQLIeBiC2qP7xXP86xAoW5/gK1GByvTe+dsw3Rc22lP2C/AZt3sPVcWA59Oah/W651A39AmHpwtWgG86xFz9n0503FtPBlieTav70zaWJs+LjoZsjKzN+ll0/9nfO8dtjybx5NepUIWC+W8+Blu7nbg+xgbo13icGLOc3Z+7Fq9jYyn9shefXbn1Ph7tkkQjyfZD88XUW12xTfWKX0jlSGWjLWwGiawD7msupFRClrttnvY7fT3gEKHLftGrdVi1o04yb7XPugqBBuG2e0sKci0j2Rjt4PlEQdHb0RpU8db9TZyGQ8LZWVkMxkPKzNTWBNmqW5GAC4HZ6fEVEw9xpUxfQBwS+go3hoDcJanlfO+JtQ3zozS/y2d83aji05/sCfQPThbRG/gY0t4m9I4km+7bvR7HnW2D84Vw0OWPb6YdXOrbuG811t7WD2HwjlL33MbK9NTYeA8V8pjKpexfoZ7nPeZYvgsuKJZhONBHwALKnRr7J3YPcOk9yzSF4JWe0Gh9R15mdJ6AJBosQ361nfaWCwXQvZpZUqXKdkFzqPngE25iQqcuxP6ADmbYn2nM2azLfWFcx6+FxtgTQeR43PetABkxwNn2zKl9R2VDKkEgbMuU5L2/4lbNzbld+s7ewEXF3tlJcK/kYJC4XseB6GF70QHzuP6bJiO6/W9c9agtnzOHWRHfDrP83BwTg7Iru2ovxu3ibag9vheBuze8+jeWywXkM14YqZClH04MCP3Y2stlQwZ1bcyMwXfBzZ2ZD7duI3VZ6rtnHUyROmU+7HaL1qZ3qtvfacj9unG7YOes3SM6zvtkBULqLO5UsiK9UXZ2AMzU2K/uNNTZ/O4jzj6XZIx7l03lj5iRNJrxSL+idJ3cEadzVJAdhyo03GBdIw3ay1MT+XCs7mQy2CxXBC/59tdUpBpH8n6TnuPAdMHwoZwcWtaog6cAeVMrAszkeNMBaVvCluNrshA7AZNP0cBEj3/deHhfLPW2hOUZjMeFss2c540isvTU3IqZow+QO5A3Kq19hwsS8HBLx9jK+wFE+qsFMKsp0QfsBcsWJ6eQqs7wK7gevtuf4D1nc6ew1kHBlKnbrz8zvM8u/ccgpMj73mmYPVOgLF1MxPYBwtmwei6WSjn4XnyvTdefgfoveJ27w18iADZMHCOAAukwf24zdY6paBQVOB8KNAncd416yRyztIx1vfOebaYQymfFc95bae9J3AG7Fg4wyByqC8EUIUg79pONFgg7idUn1w3h+aK4j5UUYGzLlOSnM21Vg+d/sAtmLjTCW0WoHo6LpTz1myw0cD54GwxBPil+qKAMJu1OPpOXDAdFyuFPT7d4Vl5+etaPcI+zBVRa/VEpeetbh/1Vm+CUQfYzXl0L2cCxrHUH4l6zzZnvf67FYc+3UQsoH06C/BhppgLG0wDdv5I9JwL6PQHIkB2MPBVkn3EPtj6dFE2dnnG/j1PxALSd6L1zU6+541du5hPy3wpbwXI3qq3UMhmMB+U3wEKWBT7dGPMKGA4ZwlD1vf9sK+vFtu9N15ponVK3/PtLinItE+k2x9gu9ENNxwALFhmbNbqbayMbD7AbrOEZVQzkxtaYiCigsilaX2wvDwMxK16C5WRjDOgDucNYcYmihkVHiwCwz3sWzPUVy6o3hQ2gMvB8XVjcTgPe4O5ec/rUYdzxRJYq7X2PEMgAGSlYOcYi1DpU4CspN/YON0dAJaCnjg2jufonHNZlbGxAVBHy+8ANWfpXtbAWhSAKlnbYeC8B8gP1qEFUDfqGANqztKSovWIwHlpuoBObyAqb4vKvi5bgtBrYwGQ53lYnilYzLkzETgvVaYsgovJwDl0PAXOuw6cl8fO5ownO/cAHURGrRu3QZ8vBGSjQCubsx6ICfps9spOG7PjgXMAFkjO5uEz3GuzAdk5FRU4V6YUIGvznlfGnuHSdEFsY8M5R7xnyf5LWjdyVs/eZIjWaWO/CtkMZktDn25pWtkvSbPgKBur15CN7z6qbyqXxWwxZwGQdCae4VJFngDSfxf1niWMj61GB/2BH6nPBhSanHNBDOCs76jS+MXKqH0ooN7uiRiyw1K0iGcoTujuTZZaA7JBKdqoT6fOZmEsUJ+MBYZz5uvcaffQ7PbHYkg7QPZWvTW5bqblfvHtLtYgk+d5xz3P+6zneRc8zzvved7PBD9f9DzvU57nPRP8/8LI37zX87xnPc97yvO8vzXy8zd4nvdY8Lv/wwtWrud5U57n3R/8/Mue5520Hfd+E+1ojRrZTMbDog2DpBYDuIgNxCSqbROwhKj2iwwWLE0XxEHkrVoE4FKZUhmbFj/oc81kUiwyf4/R1jpdMaMAYLlix8LxPHeBbhTYqYM+V0wmQAFhNoDsyhiLcMkiSItcNzrTJ3Caosrv1BjlAct4+R0wBOokQV9U+Z3NXokKBkqFrBUgu77TmQicF6cLVgHVeOCsgTDJulmLCJxt9A0GPjbHAmcAWKzYZYijAudqU8aQjQqcw2ypo8BZM6+kDNmoAGixIl83YeBcHA2cLdZNxF4JnXeHAInNnBUzajKIbPcGaAgYskmArMR/0IGz2zm3J+c8LQd4dU+58cAZkM05qjfYQrkAz5MD+VE21ibo08yo8WRIf+Bju8lvMh0F8IYJIMF7juopp8cotTdxAK/NM9Q6RvUB0sTh5LqZLeZQyGbEZUrjDDg9RhsG3GhpvNYHyNb2eO9TYDh/yXtp99Ttg5Pxj13lxbhfvDyj4ikJIBvFZLKKBcYakwMKkJ0p5uQxX1SSfXpKrO92FxdMph6An/V9/zUA3gzgpzzPuwfALwD4jO/7dwH4TPBvBL/7IQCvBfA9AP4vz/O0x/xbAN4J4K7gf98T/PzHAGz5vn8ngN8A8GsOxr2vJMpoA3bI+616awJ8sMrYRKDaNuVt47dRAYpCP1PMifTthE3lHAIuEaj2skWWKqrkUDuhEiR/vDGfliWLQPfWGMMFUM+w1uqh3eM777fqbSxVhg1ftT5Atm5uRoCTCpCVvedOTzWzjQJIbPbegbGDaiU8TCUOyWTWawjISvbepD7ArrxtnBml9XX6A9QFLJzo8jv53osCCwBtE90FzssVOagdFTgvWqyb9YhzZS6g0EvsQ1zgvFyxYDJFBs7q31tCgGQ8cNb/LdnPUQGQGqMNgyQ6cN7YlQGyUYFzOGcLYG10zuVCwMKxCJzH37Ny3t2wPQDbOU8m+hYtWhaE+iLPFRuwYBLglTJkx3vKaX2AcM4R9kYDshJ93aDR/Ph7XrE4p6JYPTbJi6iecsNSL3fnlA0jP5INNlNAo9MXlUWO95TT+tTv3IDanueJ/dio0ng1RrtkyKTNlr/n8Sb+wNDe2CTRIhN9QnszXn6n9ClAtioAZNfqbRRye1mENkzHWxG9TwFlHyTgpCq/i55zWi4XLdYgk+/7133ffzj47zqACwCOAvheAL8ffOz3AXxf8N/fC+D9vu+3fd9/AcCzAN7ked5hALO+73/RV17Ufxr7G63rgwC+wxv1ll4BEtVHAlBO3ppg80U1fFX6p9CTGoiEYECyAaMcWT1GiZHdSAgiXWZLrejk9Q4qhSzKhaGRnS3lkM96IsdzI3SMIzI2QiO7sTPJVNDPQBJIrtfbYWZvdHyA7DDdiGD9qX/Lytt0OUnUXtnYkQGy6zsdLFf2PsMlizmv7UyW3xXzWcxMySj0wwzQZNbLplQ1KhAHZPZhLab8DhACLmG/o7H3UpFlqeIC58XKFKrNrujK7siMs03QFxE4Z3TQZ8FUmJyzBQsnInAO+xGKxjgZONuURUYFzoCas8QexgXOSxV5WWR04GzxDCMCZ0DOCo4LnBetANnoMipAxraKCpznLcoi4xKHi8LEYWzgHLyjrYaMhRO1DgHZulkLbaybvRLVU07rX5OWRcawevTvuBLVU65SyKKYz1glQ6JAIZsSwYnEgIUfG3VODdlbL30sEFUaDwTJkCBRwpXo0ng7UMjzhn4hoC6AmC/nxe8EmHyGK47BSSs/NrgIYY9PZ8HeirrxT41RBmrvdvpodQeR+nY7fTQFDNnbXZz2ZArK2F4H4MsADvq+fx1QQBSAA8HHjgK4MvJnq8HPjgb/Pf7zPX/j+34PQBXAksuxv9xlIyIY0P+WbBYNIo0efIDdhq42u5gv5ff8bOjI8vVtB07RXIROiZHV+hYq4/qmsCOsm95udLBQ3qvP5jDdbnYwP/ZOPM9T9fGCg2C7qZ7TQsUNyNTs9tHpDybWTciaEVCNt5vdPSWWgF3GOXzP42tbOOc4fUsBIFtr8Z33WrM78Z6H1Gr+GDd3u1gY61ujxigD1rTzvjSxbmT6Oj3FVprUJw/utxqdPWwUQNmKnLBPnd5fE6VZFdmck5hRgLwXTlTpGCAEeCMCZyBgyDoqOVRjnApu5+I573GB85IlC2d8fDZlkXGB89K0rG9UXOBsU8YYFTjbMFKiAmc1RjuQKcp535b2qYspvwNkZZFRgbNNWWT8nKdE44sLnG1YelGBs03fu1hwUghCx9mbZZs+dRH2IeyhJNp7HSyNnc3Di0Ns5jyZDJHoi+opB4ww6IWgUFS5b8ZzV8qu/i0D1uIAl+Xg1j/ZWdqJBeqkfvFsMR/efjeqUxZb6Phncj9L+tQNAjLCpJ+t/i1ZN9vN7kR8VilkMZXLiM6VauBjjccX0r23Hegbn/OKBbB2u4szkMnzvGkAfwLgn/u+X0v6aMTP/ISfJ/3N+Bje6Xneg57nPbi2tmYa8r6SqFuFAB0A8Q2EBpkmNl/FwkA0JsGC6akcpnIZ0YauNruYLeYmjOySsOxJG9m5UoxRZII42sjOj+vTt3pJgLpGdwJUA+Q9BjRAEgX+be7yMzax+jQ4KXBkqxHrppDLYK6UFwN1hWwGxfxe8yYtb9uOPajkWartRmdC35DVI9krnYl3osYoBKFjAV4ZIKvtzVzsnIX2Zmx8Qwq9w8BZWC4Xxz5dtgjS1mKcd0DILIgInAH3jBR9sxC3LDIucLa5ZScqcNY6bUqAJgBUIeASy3CxKIuMCpznS3kxCycqcAbkTEfdyDaOsbbJBGTjAmebdRMVOGudrnp5AYFPJwBk41sqBOCksERwfO+FZZGSvRf0lJvKZff8fEl4Nkf1lAPkjNZ+0FMuDuCVMpmibazMj9WVC1GsHglDNgngBeQs4/G9l9U9ZIV7pZDb21MOGLLJJfr034+KTYI4rq8VIPOLo+IppVMWCyT5dG0BIFtv9zDwJ/VpeyF5L1HxVAjICn1EYHKMtvHU7ET8Y9cr+HYWJyCT53l5KIDpD33f/1Dw45tBCRyC/78V/HwVwPGRPz8G4Frw82MRP9/zN57n5QDMAdgcH4fv+7/t+/4bfd9/48rKioupvWxkfaeNqVwGlcLew3l5RnbVeyxLyOJa0O3GZKBrZyA6E0GpGqPUQMSj2gA/SNvpKCM7wcIJGllKyhijWD16jCIkvxljFKdlV72HINMEOCl3wqIOFkBexlhtdDFXzmO8olba1HEITkavG+5NH52e2q/je2VmKodCLuPYIZE5snEgtLTxfjVg1MU5JJIMcRTrD5BnqaJuMQMU40PCwhkGzjEMEuZ7jguci0FfKmkZwrg+NUZZ+UpUU22tD+AHuqZgQNpbJyroWxSWRa7vTF7/rfXZBX3joJWMeRTXjD1jGfRFP0O362ZJGLAY141wjHF7RQqQjDdjB4a3RXJ9OhNzUsq2Wop5z5K9txHRXgCQlyTHlapKS3a2g1KppbH3bMOQ3YhoIwGoHoySPpvruqfcRBWCjNGq9398ywLBe44o99U6pWVPy5XChE+ngTru2azHMP6epQmgRkfdYjb+nkuFLCqFrDBxOJlEA/Sc5SycyYSzzMZWw1ggDuB1GPNNF0TEh2qzi3IhOwFqL09PYbvBvzgklpxhsVdud3Fxu5wH4HcBXPB9/38f+dV/AfCjwX//KIAPj/z8h4Ib405BNfj+SlBSV/c8782Bzh8Z+xut6wcA/KUvKbbex7IROMYTRlbovOugb9xASBtZ9gc+6u0e5iKCPmlWfDsOfAgaWXJZOKGBGDOy0jnHZQZy2QzmS3lRpq8aAzJJAZftRgfFfCYiAJIdptshWBCXIZaCBREHi5SxFsFwARQToNnlN7KMe8/SrHjcQeV5nmI/CEsE4xhwIn3NDrIZb09TbaVP6JA0ox2SBeHeA5LmLGNTbDU6E2wUQDk43b7Pvi1SO3Xjjqy03GRY7usOFNpqdCdKDgF5MLDVUOtmtHEnMLJumHslpKdHlEVmM55wzp0JthoA8d7banQj1420LDKuPFczmbhzrrd66A/8yDkvVaZE59RWozNR1gAM7Q3XPRsmgKL9Ee6c4/aKTVnkVmOyNAQI7I3k3NtVpSHjPt2ikHkU1w5g6CPy3nO710ej04+xDzKfLm7vLVZkZZHVuBIg6boJ9I3POZPxsFApiEqc1bqJ8EeE+qpBGdVoTzlgCDrx90q0jdXPgDvGwcAP2ki4O6cU2z3KfqmzmcvC0XtlHKiT+nRDmx3td0ps7HazGxlPLQtL2eOSpYvSOcckDucsGLJJwJpE33acPr22hedKXHsP6QUxt7O4YDK9FcA/AvDtnuedDf73twH8KoDv8jzvGQDfFfwbvu+fB/ABAE8A+DiAn/J9X6dsfhLA70A1A38OwMeCn/8ugCXP854F8G4EN9W9kmQzov8IMHTK9IanSlzZk/4396rWeqsL35/Up8e4LThM49gZ2pDXmGOMozrqw1D/nqsv6vBbKBdEjTZV4BytT/wMY/Sp30uzF3ufYbmQRSGbYT/DVlc10ovKXsyX86IG9HFAnfg9h4Csm3UTsnoi1o10r1SbCeum2RUEfepwHg+A9N7j2oc4e5PPZjBTzLGfYX/go97qRYJMC+W86Krp7WZ3wjYAo6AQ1wnTc44OgLhBWjVGnx6jjPXXiVw3S5UC6q0em4Wjgb+4ZIgUWBtfN8Pm5IJkSKsXC+RLHdlIsFM852jAxXrdxCWApIzbmHXT6fNLL7YbKuNcyE2WOAMS5mT0ugFkga7vq9L4qHNK2k9ou9mJTQwA/BKbOLbofMCs5s65GhOUAnL2VlwCSL9nblnkdqOLjAdMF/aC2np/c8/SOIY/EJwrAp8uLnBWZ73ER4xeN/NSny7mPRfzWZTyWba+OIa/GmNe7N/E6QMkPlh0LDBvGQtEnaXzpYLIH6lGVIYAym+st3uiJPvMVG4CnLSPfybPZsna9n0/NnE4X5Ltve1GNFA3jJtl62b87JM+w1eCuLhd7vO+73u+73+D7/v3Bf/7qO/7G77vf4fv+3cF/7858je/4vv+Gd/37/Z9/2MjP3/Q9/2vC37305qt5Pt+y/f9v+/7/p2+77/J9/3nbce938QEuHABjbjDNCcM+uIMDhAYCIGRrcU479pASDLE01M55OOMLDdwjnHqANV7piowstUYVs98KY/dTp8f9JkOZ/aco9eN53lqzkywMylwni/nRZm+7VjARe8V/hijWD36GXCBsLjAGdBOmMzxjHvPmmXI0mfYe1Ln3ZXjWWsm2xvJ1fa1mGBgUVhis93oRvYGmy2q0gs2aNWItzfSPnVxzrs0uxmfiZQBJElBn6Qhey0RfJjCxq6sv2E0g1fI3tIB0FgZVTEflF6wwc74dSNlFtRiARc50zFp70mZTJFjFLD0Wt0BOr1BLLO62pSVXsQBdYCcyTQOJmYzHhYFzcnjGLyAvDl5HFAnfc/V4JwaL3GWggVxQB2gfBSu79APLgaJDnTzaPcG7BupYpNoFcsEUMzZzI0t9LqJStiIgTVD4lDi00Ux/PV7lyYio30m/jNUOqN9sIVyHr7PT7LrNhIT4xPPOcGPLfF9991OH72BH7MOpcnXaKBOCk7GJZzLhSzyWU/0nm93cXq7XCovnsQDLsKMTQySr3VK9cUBYS4PFjlAEp0BminmkPHcBs6KycSt6+6j2/ejjWJFxlirul43iXPOY2vXDdip9MkckmoM4KKBJy74F8fq0Zk+KeU2bs7cddPtR/d4Gv0O7pxjHRLx4Wx4z0KwM84hqbX4mb64LNqiOGCJ7g2mM33sxIBjG6vXzYsx58nxyYMBIHrOqsRGdk5FB7p5dPs+uxdOXMZ5sSJLAMVlnAEF/kmz9nHPkMseSco4h2UDgvcSGYiX8lYsnCgQZ1GQvEgG6mTJi+1GNHNSWiJYbXaRy3gTfTsBVQrFBq0M60baIzJx3QjGGMXQqwiDviTWnyQBpBn+caAVIKhCiPPpSnY2Ni6pJLY3cYwUIbM62Y/l+nSdSNuQz2YwM5VjP8OkpNdCuRDeckaV8FKhBB+Mb8PcA3VA9Fkq2SvDnlHRe0+UZI9ZN+I5N7qYyk2Ck56nfDpukv2VICnItE8kHnCRBQO1mJvbAGHQF2bZJw3EXLmAWovXQ0nXdUcbHBmbohbzDDMZD3MCOqYJyXcZiEuzDVE3twF2pWOFbAal/KQjq2jB0tKQaDaYJNMXV4ctzvTFBM6ArDQryXmfE5QIJgWRNg5E3LoGJOuwA88DZorRQBifiZnskAAChlkci1AIyFZjQG2tU8r6i3O2JQC0/ttxmRM779FOXTGfRTGf4QO8zW7iupEHQNFlDYAsYRPJZg1Bbb4jGwU+KJ2CBFASc7KUR63ZxYBxNjd0xjmGwQvw9566VTU38XN9Nkv2MhAPQru0sRocYzMLDD4df87RpaqAes+Sd6L+NsKnK6mzmXPLaDcoo3RqsxudyL0iDfpcs4yTAJeQWc1MzMXdQCwHXLoBKDcZDs7b2JuYNhJcZrXv+0GSPT4WkAC8cWezxAdzzQart3vx4KS08iKmzFIn2fn2IYm9JYkF4kGrYZsGN8BaaG8kCeeYWEAx6FMm07ikINM+kLAfQAJTQYTkRxwCWqc0A+SK3plU1y09nBMNhIBBoucTRwuWOEzqb92CQlFOnZTeqcskIh1ZSfbCwHBRn6G/F92s1GmmL6aPBKACDGkPhOheWeoZcjJ9cb3GADtacJR9yAkzfbpZaRyozQ3ETUxMgAcW6N5gUXOWBs5x/UcAGQhdTXDC5ssFtLq8oC+JUafXpgQIi5+zICve6GBmKjoZIunZptdE1LqRAGuDgR+bvJCezXHgA6CeoQR8GB3PnjGWCxj4YAV9iSxCKXMypnRM65TslUJExhmQgZPJe8XiPUfoqxSyyGY8Pmgcwz4FhHvFAGoDPJuYWOIsZKfHlTgDsqAv6SyVsIyT1s2c4JwC4u2DBvJl+qL33kLFLetPEtw3u310+oNksMBp4lDwng1sMG6SPe7mNmDU3ggAlwgbq4F8ydqOurkNCIA15t5LKmXXQD5n3ST10RODkwmJwwUBsPZKkBRk2geyEzR5c0nvjEN4AWHQZ0DyAd6GTuoHMKQZ8w+WWEdWGLCU8tlIR3a+nMdOm9c4dwjUxWf6JAdB1DuxyfTFOnWSTJ+hlxfAAxOTMs6uARc9RjmrZzJzP18qoDfg3ZYSd1Pk6M9cZvrmK7KAJR7g5YPayQEL3z4kAcYa5HAKFgiz4tmMh5mpyXWj3xUHyE/sP2JThpCQvJCwrWL1lfmlF4n2QdBjrd5WyZCoZ1jIZVApZGXnVMy60XPmSGIyRAAKJfUGE/dsi2ER6u+RNGhNOqfqrR7rJrNEkEmwVzq9QWwyxPM82bmSMOc5CTip33PkXuEnvRLBTou+MEl+rMTezMQw/DWzmgXkE1jGnLXt+34sc1LrlPShimX1CNZNsg/G90coAK8E0EiyD5IkezzDn59kD5mYSclXRy0QAFlZZFzFAGCXDIlmwOn4h64zqY+eLqeV9C+LiyHnhG1hbndJQaZ9IEk0Qv1zSZY9qZTDJZNJEvQlHSw2PZTiyhAkjeqSmFHaKHLeSyLgIsgAtbp9tHvRN7cB8kxfklMn77ni5uZEfZBH9feQZvqS9oos0xfdrBSQBSwmij/AW4dJN7ep75FldOOdOn6mz1QCpD7DALUTsmie54kAkiR7MyssAYothxEwAUz9R7j6VJPbXnypl5DpmLQOO70BWl0+kB932xPA23u1hHNP65QAdfFz5l8oYUqGADwbm5QM0c3KJc57fPmKBCBJWjcBINuiA/lJoHYIkIj2njswMSnLLr1cIeMhEtSWsEWTeriU8sHttAIbm1T25DIxICk9d13KnpRwBqSl50mglZxZHVfVMPoZiiTZbM2sdrlu5oVJ9jiGv6RNAy1pz2f1uEwQJ/k3C4IkO4VZzQInE0qmlU8nq0JIbJ2RgkwTkoJM+0CSjCwgD+6TjKwk6Iu6uQ2QBX3bCewMSQ+lpJvbAFkGKCkAmhNkdE3NjAF3GSBAlumLu7kNkPVQ2m52YpuVugZcAGGmL8mRFWWIkwEX/Rny+AjsDA6YmBRQ6Z9L9koSwMvO9CU6svIse1K9vYxZEMeAcx04C+ac8AxL+SDTx9BXbyXvPVFfGAMbDOABJKTSUoG+OLaVAhO5Z3Mv1sbOC9hbpoSS/gx5fAkBkOR2WkoyhF9OG3/WS9hWiSVAYWmpgEWYwJDl9nhSCaB4fdzGudpmRyVDRMBawtmsb6flzHkQ3NwWf9bLmg+bwEkWszqhPFe09xKAOiCoQhCxReP18ZnVvtsJHAAAIABJREFU0c2RARkj35Rkn69I/JGkWECSZE9aNxKAJP5sni2qyxA4NjHp5jZAyvpLsrH85GZyHz0J49YUC7hli0parrwSJAWZ9oGYwAJpJ/+kgEpC70wCM9R3usv0cTd00s1tgDDrZcgAAcLshSN655By647eGXdzGyDroaSZUZEZIAlYkBAAAfxMX68/QL3dS3RI2Jm+ZvRNSlofIHPCot6zJNNnBFwkjXMTyqhEmb5mJ/YGLkmmz2RjuWxR3eQ2yWbvtHusa8+TEwMCIN8U9DGBMMo5JWsInRz0ce1DXDJEUrKTBD7oMbpMhsyXVONcbtCXZA8B7t4z7BUmmJjEggaGwBpHkoA6KfMom/EwHcHqmSnm2EGfea/IbvUy2Qfufk5iPgDMoM/xXqm3gubIccCaMPka31JB5t8A0XOWMKspNlZya2kSo270eykSd9mMGp8FIOuIWZ3Uf1Hpy4uS7C73SthUO+I5DnsocfZyciwgqWog7RVmi5QXBZxM3CvuqlfmBeW0rwRJQaZ9IEllDfrnnM0cXo8ZYyAkQV/ywSIP+pIMNw8lTw6cF8oFdtCXmC3V2QvGNb/bzU7QrHRyW0ronUkZZ0CY6UssX+Fn+hIZLpKDJWT9xYE4vEyfLqlIWofsTF/MledaH8AP+uJ6PAH8TB/JIXF0W93o93B7tsWWogkyfUnN2NXPec+QwgYb/V7qGJMCe0BWspO0/zh7hZIYcMsWlTEB4vSFN+A5LHvinlM6GeJyzonPUHADnus5J4Hk6udKH+cGvGoCI2VOApAEQWRUMiRkVkvWTRLgwth7vf4gscQ5bJzL3M9xAM7Q3kj8kQSWnkvQSsSsTi6NB/j2Jq45MqABEofrhhkL+L6feJbKWMHRl80Aw3cl67PpZt0k9ajT38NNsiczbuVllkmJewngkjRnESPfccwXp296KodchpdkH7JF3fgjrW4fzW4/AZyU9T+93SUFmfaBJNEIAf416kk3twFyemecPpugz1UPpWEj8fiDCuA7EEmNxAE+UBfXcwXgg0KmjDM306eblRpLvZiOZ5w+SdCX1KxUjVGYAUoAeNXn3AR9sgxQB7PF6LIGAMGtXgKqdoK94QR9IahtAly4ey9Gn02mzzU7w8ggcTRn6TOMa3IL8IE1E5A/V8qj2e2TM31hHwnDOcULnOPBB63TFRsM4LNwTEGkHjv3Vi8jOMkMBvJZL7LJLcB/hub+RCroqzN6KCWvGz5AkmSztU6XjNtZLqitkyGmOTs6p6aDyxAkib7ZmGTIXKngGKiT9XSML9t0e9YDfICECrhQmdWt7kDd3GbwY7mARtyc8xJmtdHGyvwbp4k+Q38i/RmOviRw0rU/opnV1HLasAG9qaqBeQ7ErUN1URGvr5xxrwgThy7f8ytBUpBpH4iR9hcYHCq9M+nmNkBIhU7IHEqDvrhmpQC/t44JqJsXZPooSD43YIk7+LROV70z9M859E7KQQUIsl4xhwAQZPoYbLCqZvVElDWoMXLXTTLgIi3ZcQk+JAG8AB9YM9kHHfTVWjSdSTdwqfEJyhAMc1Y9BngORCIbTOjIJmUOAYG9MQR93AbOpnUjYcCZzhVqhtjU5Fbasy1pzlLnPbbZeamAKiPoo5z1o99L1Rk3Z8kNeIoNVohNhnCbVhvXDRMU6vQG2KUkQ5gBRtwZACib6LLkcL7MuwHvxTibkxi3khvwthvd2BJnINh7Dnv1hKXnRNaM7/uksidXgIvW6bJcboHJrKYksNXnmPYhca/wkxe5jIdyRN9OPUaXTfelDd7jzqmZIMnO9R+SYoEFZqmXCdTmXlSUdHMbIC89T1o3bN/dAE4uVHh9qIwJIIF9eCVICjLtA6k142tVgSG9s04M+kzNSqX0zjiWEMAP+ozBgGvARdN4iTpNzUpDeqcjpgLAZx4lNU8H+Iw1U7NSaQ8lI7DGXDdxN7eF+hodctCX1KwUUAcVQA+ATM1K89kMpqdyAgcned2Isl6OMjZGUFtSZtmIp+Tr7+I6dUnrZq6UR63VYwP5SeUwAP0Z6nUT9wxlQZ/pGfLWzfCmNTe9cCg9FTj6ALONZZ8rzS6K+aSzOY9Of4AmE8hPovgDAufdqX2ILxMHwL4BjwK4AAx7Y3iGmknjqj8RwAdIwmRIMdk+UG/AozAx9fdyxmjcK1xGnQnUdslkYiYvdHNkUzkt51ypOU6GUJOl1L1i7EVYkjJSDHPm6ivHM/y1/aKezZT+i+pztDHq/otx7yQrKKfdbsSXqgIWSfbY/qy892wEJ5l+sfruZECWDaw1FeM2DpycK+XR6tKT7JSWKwCPnPFKkBRk2gdiAly49a+mWnZuEGkqa9DfJQn64oTbQ8nkyHIBElMfCU3vZLG3DEAd93am7UY39uY2gP+eKaUhgACcNKxtdhmV4aDqDXzsEvs0UJqVAvS9Z2pWCvDnbHZIZFkvU9BH1WkCO2dLQabPYbaUXVpKyDgDdBYOpaxBfy9FKOuGzSAhlXI4XDfMchMTWBBee+6yfIVtY03ld1yAxNAPLQTWaO/F1OQW0Gez273CuQGP2r+MurZN/UwkN+AZgTouAy4ocY4tVWUHfckA77B0jA5qJ/UvUzr5YKJJX6PTR7vHC/qSSuMBvr0xgkJOAV5+CVBiwpltb2g+nWv7wGVWm9YNp4eSqeckNxaoGeyNHiOv91YHc6VoVjUgS4YA7hhrprO+Usgil/HY/caSgXw+kymJces65pP0oXolSAoy7QNJaqQH8OmdJuokl95purlNjZHfQ4kS9Lk3EG6QfPU7XpPppJvb9HdJ+mQllTUA7tYNt4eSblaatLa5N4ck3dym9QH0huxU1h81iz3MKLl7z6RgoEnvoZR0c5saHy9gMTk42YyH2SLd2dZlDSZ2Brt0jGJvmI6sEXCh6qOsmxLvCnBjWUNJXXvOAfLLhSwKubh1w8sQm8ACfe051d7oJreJQL7AeU+0X8JzKu69cMsQKAGQKhF0uFeYN+BtN+JvbtPjU5/jMW5NwBoPFOoml3U7BnjnmPbGBNRxb8AzlTir7xLYWEKylPpeqgYby/eLtb7kdcNuZpxoH1TgzGFWJyZfK7JYIM7ecJnV7Z5ujmxYN0xGfvKceX6skS3KTByaGC7qd/xef6aYj5NkT7q5DbDwi5OY1ZI5O0wcmoA6dszXSI75JGWWrwRJQaZ9IKaAao57OBuyF1x6J9XIuqRqc3uaJN3cpvQFz9ARzRgA+1pQUx32fLnAoncm3RoC8Omdppvb9O+oB5WpWSmgHAhe1iu+j8Tod3H3SnyzUqZDYgDqAH1zCLfsKck+8HooVRsGdhkz6DM5JIAGoWnjawRlDcYyS+beo4CTXGZB3LrhBn0Ue8NlpFCBfM5eMZUUAe7ASa2TegboJrcuA+dtw14Jy02IOk1nMxfINzF4AT6wZpwzF1gLgsjYZEjwDOlMBeqcae+kP/BRS7i5DeAD+Ub/hlneZpoz9wY8KjvDaXlumfeeq80uSvmEm9vYoJV5ztzbaSnvmcWsNlU1MNdN1cDUBnjM6iGA446Rr56h+WzmnFNJfTs1s5p6NpuSIUDwDJ3GP3z7QErac9mipioEoj7TzW1aH/dsNunTn6OIac7FfBZTuQwr0fdKkBRk2gdiLCnSBwtzsyQBEJxMHzUDxG4IbSgdU99NdyDiriAG+I1zXR8s7V4fjU7fadCnnqE56GO/Z0cHi4ntoX5XQI1RemFqCM2fs7qBK47VoxvncoM+0xipB5Xp5jZAELAYy6hk4KSpca7rZ1hvMxrnGsqeuMyCajO5yS036KMALhyAJCxxpoBCDAA16UyRAvmmc4ADZoyOI0q4fRqMLELunJvJfST0GLlsMGODdy4DjlAiSA/6ek7XoQmoU7+j98IhscGYN+BRmJiA+6QXm/ltKM/llrKbfM7R76aMMWld66CP6xe7ugxB9+2k2ETOfk4G6qRAvhvWHwWo0z4imVlt6ocmKPVK6r+YzXiYmcq5nTNj75lubhv9Ls7ZZ+qvBnAAXjNblDNnEqjNTbIT/RsyUaHRRcYDpgvJ7ChOnPtKkBRk2gdCaewLcJgFyTe3ATwDYWqqrX/HuS2F2oeK43gm6fM8T3SYJgcs9MCZ5OAIepqQkHxHGSAAIgacCbTiNM41NxKXPMN4fVon3TEmArLEZ0gra3C7VzQ7h7xuCGCi6u/hrqyB2zjXXALEBPINbA+tk+4kumUy6Sa3Ltmipia3XCDf1A9NjZFxTlHAB8fsLX6ZZTeR1QOoc4DLcDE2eCeW7IRNbg0lQKPfbR5jJzEQ596AR2L9CdgZFCCfurZrpnI5dolgF5VCFvkYUBsA6wY8UjuAUoEM5FP6dnITh6ZkCMCzD9TkBXvvUZiOjDFSgDoOQzapbyfAA6EpNnaulMfAV74LSacpeSFIsieND9AJG+5eMZVFMhi3CTe3jX4XByBJ0jejz2Z2Asjx2ew4QWy6rY6jTydX4sBJQCcv0nK5UUlBpn0gJsCFG/SZ9AFch4TuhFGCPtPNbYDspqIkI6vHyM+Km/p70J1OwNwQGuAZ2aRDgNs415QB0mPkBOKAKeNMdzxNN3Dp8QH0YMBE8Qd4JTvUbGmVyN4a9uJwByaa5sxtnGsqawBk2VIKQELZf6Qmt4JGvEYby5kzEZClAvkUFiE/6EteN/oGPM6ck0qcAR6QT2N78JuBunSMTeADwGv6SnrPDCDf1Ptn9LtYQJ1DIJ/C1J6XJENcsnAcA/mKqWD2b1yWAOl+JxSfjtK3U5L0MoJMjKCPCk5Sm9oPARd3Pp2pb+dULotSPssG6kygNrs0nhLcE8bY6w9QT7i5DRCAD47BSYofO1ei305LZdwCTICEkGSnJ4AojFsBO92QfAW4CSB31TDbhqQ9wG/I/kqQFGR6mYtupJdkFHPZDIveSTKyLGYBjeqoPmvWSSuT4KHQpgwQAFYTWVIGqKQa53Z6lKCPdlCpzxIdRQOSP2ycy6FqO3TqiA1a9XebhHQDl+NgAGBmS4mBLrVxLq1XDw8gMTkk+vs4PVJIz9Bl0McIWHY6ig1GCfqofaMoARAHyKeywQBa0DcMIt02rTbOmcmQTSpx1mPkBkAmoE591qyTcjazgXwqWOASnGTYRGqZOEAH8kl7hQnkzxZzsTe36TFuNzqkkh1qYmD0s0miWT1Gn44D5BP2HsvGkpgKDJ+Osm645xQpWcpjUxSyGZQSGf4FdHoDtLqOgHwJy5jwnl2BDwDTLya9Z7p9CPt2OgR4q41Ooo+odXL9EUpZJMVnopa+jn7WJDTfnefHJt3cBgjPZkd7JWTcJqztciGLfNZjJV9JcTNR3ytFUpDpZS6URnrq9zwGiUuHhJKx4YAFFCSf2zjXlAEC+OUr82VzAAQQ50yiVtMD567OADllbyU3Rwa4WXYCsMY4WCg3cHEb55qo2gB/r5jLGgRzdpT10je3URxZjhNGPZxdBX3DsgFC4ExwcNhAPoEBp/Ye3QkzscF00Ee53YRW7stnFrgM+iigFQfIp7D+OHOmnM0ayGcBvIS9x7lJKUMocQao9sYMWol665DmzAgGCCD5wFcAM0Wf+hszIEt5LzttxWgw2gfH64YF8BIC5+HttHQbS/LpGOwtGjhJnbNaNxSfjgKQ0Bj+9IsBOr0Bdg19OwEeQFKl7L1g3bhib3EuKqL0AdVnMwfUppTLcZLsMwZQW3KukFh/jhi3AA9MNN3cBqg5U2+nNd3cBvBAaEoyRLG3eAxZlwnnV4qkINPLXChUTIAf6FIAF2rQZ7q5DeAxCyioNrdxrunmNkDXYdOzaCbwQf+ekoEl3dymD2eCEaOUNejfczJApmc4V8qj3aM156OVNdBrzylAndbJa7TpzpE13XihxicAJwmZPsq60b16SGUITjPO9Ma51IbQAO8ZUsqUODcfGXsyMTPOlPI7/VmTUDLOM8U8OeijlDgDfBYOxTHWnzUJpccT5xlSwEmAN2cK4MIts5wtJZc4c54hZc4cID8scSYwC1yVSQAj54oj9hbnBjwKo05/H4dBQvHpai06kF/Mx195rvUBxDk3zUBdJuNhtsi1D+5Yf1RQW3/WOD7H7AxKckX/nn7RAIGdUabfgFdtdFTfzphbVQEZc9LYsoA1Z9p75lwMQHmGANMfSQRk1dlMGaO+uY00ZxbgYgbJ9Wcp+gAiy9hR0l7/ntfXyp3NfqVICjK9zIWSDQGYddOG3hkAL+gjlTVwmAUEp07rpBhFfXMbJUhzS1uml/RRMjacxrnUdcMG6ghGG6AfppSyBv1ZyvhG/yZJJ0WfvuXD/AzpjXOrxOwr4I5ZwGmcS3VkdW8KipAcWQaFngJqc0o5hnMmMAsclcMAQ4eEBuTTevUAPKcu6T1nddDnKHOof8/p+0DdK1R7Q2lyC/DOKYrjySl7MjMn6bfskFhCDCCfN2ezvrDE2WEJEMlmOwbWODab7t/w+o25BfJpvQgBx4As8WxudftodQdue+tQEkoCUCjpbA5vwCPZbO0jmgFUFquHAPDqz1L0zRZpoDYJLCA8Q4B+NlNu4wWG7QCoZzPFRwSo/oi5jQTnbKb0e1VjdJ8M0Z+l6NO3+sXqE5zNLoE1UrlcuYBmt0++Ae+VICnI9DIX6uHMCvooDgnTeac07lSfdVPKAdB7mlBLDnXjXGpzPiojheqQmG5u041zqUYbSGYJAerwY/XWIQYs1DlTnAeAmr0wZ0vV72l7hVPWQG2cy9krlL1HufpV66StG9ozVD3b3DELuAGLCdTmNM6lMFz07ynjozS51fp84i07pDIqBpBPZm8R50xhlwG6DIGTITbrA+gAianJrQbyXZU4699T9FGa3ALDd0ZjkNDBSY59MJ99NICEUuIMMIF8AlDHZf1VClkUcvHuciGXQbmQ5QG8jnw63/dRazqes2ufjpwspc2ZHEQygj7SnDnM6mbHGDirMdLOUvqc3ZYkcwAS6oUXAK3VBdW/IYPabTqoTb0Bj1QaL2md4ah6ZZtobzg34JlubtP6AHdn8wwjyU4B6gB6Aqg/8FFv90hAHUA7m18psq9AJs/zvsfzvKc8z3vW87xfeKnH87UQShmV+j3toOKUNajvpx2mpvFJgj6KgeAcVFTknUp5pxwC+rMm0UY2KQME0B1P6pypfR/6xLIGTuNcyuHMaZxLZuEQ9wq1rIEDJnLYYKS91+gYe/UAGixwB/BybsCjNv7Wn6XoMzmJnMa59ACI5oRxAiCA3jfKZWKA0uRWjZHoyBKa3Orfk2/ZIfTR44IFpr3MuWWHUnKofk8DXChNbke/j/qezcwH3jMEhud57BiJgS4VqJsrKSCf0nCZxjJ2a28AOkAynLPZv6H4Is1uH51+8pXnenwA7VzRZZZJwvPpaO95lghqc856gObTUeYsWTdJgbMeI+2sZ7AICfPtD3zUWz16qRdxzqbxTeWyKBdoN+CRAReijSUn7ZmVFy7LLCk3t2mdLpMhnLOZVpLM9IsNz1CfzS6BOmofqnqrC9+nxVMAzSa+UmTfgEye52UB/CaA/wrAPQD+ged597y0o3rxhVJGBQwPFlPQR884Mw9Tw/g4QR+lrAFwb2Q5BsJ0c5san27q6OZwVjppjicVqKM2ztVGllzqRXQ8Te+EcwMelZ1BZRZQM858x5OWDaHqMz1DrdNlyeFcidangQxqc/YeYd3oMbrsyUQNgDhOHUDvJ+SyzJLS5FbrdA3wAsqeJEm3T2tyy+2RQrWxTvuFkNcN7aznnVPmPnqcW3aqzS5mpnLIJVxcANDnzGFnAGaAhFrizGm4TAHqAIZ9IDInqQ2X2f4NcW2b1g3nMoRqEDibQW1aw2W2H0s9VxwyUijgA6CTFw7PlXI+uAEv+Wzm9O0E6M/QBNQBfEDW1c3QZL+4zLUP7s5mKjg5S65q0GxR2to2xReUm9sA7pw7pHVD9mOpNpHKuGXoG/18KvsIZALwJgDP+r7/vO/7HQDvB/C9L/GYXnSpNs23wwBq8fcJQR/ZwWEeLJTDlOxsN803t+kxumokDowaiOSDhXpzG+cGPMrNbYDAyFKzVIbnyAVcqOwMcoaY6Bibbm5TY6T1LKBnnGkOierVY2ZncBrnUsphADqw5nqvUIMB/QzJe8WgD+CBiVO55Ca3o/qMQR+hya3WN/p50xhN6zCXzWCaeMsOlZ1BZVNQWT3UQJcLWnHYoiYhsykITW4BNYedds94yw4VtOI4shT7wMkQU5Iraoz0sx5w9551ibPLXl7VphmoA/hlT5TgngLkc/qhjX4+ScjJC+KcdXLF6NMRwQdOXyv9/UlCDZxDZrVLv5iZ9HI1Z7LNZrZAMJ1TAI+xNj2VM/t0TEDW1TlFvY2XcwMepZG4GiORveUYTOTqo47RaeIw+MxM0TxGytnM6fcKmP1i3/fx0ceu44X13cTP3Q6yn0CmowCujPx7NfhZKJ7nvdPzvAc9z3twbW3tazq4F0t0ZsBURkUN+sj9jhhBHyXrpb+T7MgSwYdq09ycj1pySG1ISM0AcW7Ao2Sc1XfyABJzBohWN81lZ1DLTVwzUigOzlwpT2qcywVkTc627tVDBmQdlVHpMfKuzyXuFaMjSy+jougDgr1CCnSJ5W3UZ1jKo9v30TAEfZw+EoB5ztQmt1on2akj2mwqsxOgMW4Bs43lsMsAOhuMYh/IgGzT3OQWoAf31Ca3VH2DgerVQ7axDoE6MgOO0QNOf79pfOrzyfqK+QwKuYzTOVMbLlcbNFCbvG4YpSGA28Qh/Vyh2WwNaht9OsKV56O/N50DVJvteR6DQUI/V6iAsQK13bD++OADrXzfdLW91kkCJwkMXq2PA8hSeoOp708eI/U2XiAA1ohzJp1TJVqrCz1nas82auLQNGfODXjkSg5iGXatab5USOsDKDaW3u+Voq/VHeCf/uHD+Njj1xM/dzvIfgKZolbLnpPI9/3f9n3/jb7vv3FlZeVrNKwXV3762+7EH/13bzZ+jh70uQ2AqDe3AfSgj3qwUG9LIZchaAPh6Bnqz7jq1cPRV6UaWeJ7piL51Ma5+gYuUzCgv5NcAkQ8qNTnv7YZGyobTH2GGLAQnyG1cS7l5jY1PuKcieAkp3EupX4foPcvo/SUA/gACdWRpa4bMmPNaQBUILG3qk3z7TB6fPrzJn2Aec7qlh1ayQ6HvUXP2ruzN2Rwkhg419s9DAglzvo7XSYG5st5NLt9tHuOWDhU/4YIdnIv0XCZDKEDdcTEYZPm3wz7zCTr01eeUxM2TkvHyrSGy+G6cQTIUv0b/RlOM2OKPho42cFsMe/OpyMGzsW8anpPAbXJPh0DkKUCvAABICH6YNTbJ6k+ov4MOVnKSNqbAVlaNUxILHB6NtP65qr+i0RgjQh2Uu2X+rybOVPXTa1F9+n2u+wnkGkVwPGRfx8DcO0lGsvXTA7MFnHPkVnj516MoK9CCPqGhz1hQzPYFFSDA9AyNrSSQ6pTR3Nw9BhdHyz1Vg89E73TsZGlOiRU5z28uY3kvNPrpqmBs/68SZ/6frfsDGoZAg2cpANrlBvwKDe3KX00h4QDyFJKJTq9ARqEXj1an1OmApGxxmlyq7/fND6KPoDe9JXaO2OupMqwdwxBn16H5h5PvMCZZMPK5owutckt4N5m020sLQCamcoh47kDrQB66QXlGmdglCFrnnPZcHMbMAoWuGGk6M+4Lkl2DVoBZntDDYCmclmU8mafjrVuqIlD5l6hzDnjAdMFN6A29awHGMwjBjudwqzmlN+p73eYvCCcpTsdBWqTmdUOgfxZoo3VgAf5JkYjq4fmFwN01h+lx60eIwWQ1WezsRqGDKzRz2bKnNWlQsSzmXpLMiNpD5jPFaoPFt6A53Dv7XfZTyDTVwHc5XneKc/zCgB+CMB/eYnH9LKRIUBiCoAYzjshYKkSHWP9GVc3VOjx6c+b9FGMLPW2FM6c58oFo76BvrmN+AyB4U1EccLJOAOOA13CwUIt59Pf6er6XK1PjcF8sBTz5rIG6g141F49ADPQZRymlL3iUh8V1AaCveKoV48eI/UyBJpTR+u9VW3Smtzq3luu6OkAoySZyoAjByw0J9F1CZD6jBkgoZY4A2od1lpd4y07HKBOfd7Ne85kPFJPE2pPOYAeOKv3TE9eUABZanChvt8tI8W0l1tddSkGyT6U82gTGi5zEgMAY69Qgz6HARDnMgTX9oHi000Tgz4eIGt+hmHgzEj0Udb2SxE4689Qz3qSTSSzjHk+nal/INWn04Asdc4uAVk6w199xjRnahsJOgOOF/OZ9OlLQKhru064AY9qb8hxM/E9U2+nDUsYDaWvt4PsG5DJ9/0egJ8G8AkAFwB8wPf98y/tqF4+Qq2b3m7Qbm4DaEEf36kjlF4Qgz5qo7ptIjMqbM7nEKhTwJqhrKHVUze3kZxEOtuKRTN2nOmjZl+pBxXlBjzdXNQkdOYRrYyKegMeC3AhHM7Um9sAXmkWJwAy2hvuXjEezro0hBZQUS5D4PSZAWhOHaXJLUADSKh9ZtQYzTZbN7nlgNqUngWsINJllp0CajMZLqoM2zxGWmBPL0OYJtzcBtCcd2o/NIDWL4R6cYEeH+DO3lQKWeQIYAHnnKLsFerFBaPfaZ4zDajj+DdZqk9HSBzyS8fMPl2tSfXpaEA+FZykBn285KvZZtcZ5TAcMNEpIMsFSKigFVEf5QY8+pypPh0NwNE6XTXBBkBq8M45mzmlXi71cRj5sxR7w0yiATQwkQOsUfYKpQG91ukSnNzvsm9AJgDwff+jvu+/yvf9M77v/8pLPZ6Xk5ANRJN2PSZAC/q4Tpip9IJ6cxvAY+FQsiuAOggoQSRAPExJAZC+YpROhaaURVIMGPUGPJaRJTQn52ZfgeQ56wDIZaBLZfUA1KCP77ybxqe+2x0jhXpzWzGfxRShce52gx4AUbKlXIaL+huzc0zdy6NjiNdHa34K0MDbTcsoAAAgAElEQVREapNbra9mCPpYrB7HYIEuw3bJdKSwKVhZexawRmhySz6bafYLoDFkuUyFeju5DJtzcQF5rxBt7BAscAnIEs56BlBHLcOmXlzACSIpJc5ap+vSMdNlCBKfjhQ4E3wHPUaX4CSFWS07p8xsK9eALOU2XoBWvi/x6ZJ0+r4fzJnW48mkD6CDkwDxbGaeK9sNd2czp8E7RR/1BjxqA3o1xgLBxvL9EVqC2N05xTub6f5ICjKlsm9EB30UhJeSUQKoQR/fCUvagLwAiHYDHvXmNv29Tku9SubmfKxePVQjSzxYqDfgsYwsI8tOLV8Bkunfza4KgFyWCHIcEh5AQmM/NLv9xEwf5xkO9x5hrzi0D5wAiAWsETOHo38TJZyLC6h7j5pF02OkOiTU0lJT7y0e2EkMnIn2BqAFutVmFzOEiwsAGnOS0zuDEtxzmtzS+4XwAiC3JYdBhjihDJvDVKCfU26dd+rFBQCRqcCwN9QybOq5osuwSQklhs2ms4zdsIKHpWhmQJYMajN8OpaNLdJA491OP/Hacy5zEqCtGyogS2XhUM+peceA7HDdJPt0nf7AOeDC2iuOSpz1Z0w34HFBq9ExJI2RamMpjFZqA3o9RjMgy+trNfo3UaLPZlqSnXYDHjUZAgxjvkR9KciUyn4Uat20S8CF0wSbEvSJUG1CtoFuIMx105wAiHIDnuRgSToIBgOfXOqldbrKogFBAOSQkUJ5zxx9YZ8GQhNZ+pzNzAJOAEQpzWL1A2Awmcj2gVA2sM1w6jS1OinTx21WOvo3tvrKhSzyWfPNiRynjuqQUC4uAHh7hddPyN2cqb23WKC2y3VDAKF1k1uKvmzGwwzhBjzOnCll2BxwksKQ5ZbXmPTp3/PmTAPqqEzthqEMWwIWJM2Zc3EBtQybnQAyBs6MxKFeNwnvheUjUu0Nc91QAvEZaqkqYa9w5kwp9dK38br0warNDp3hz2ARcs5myjlF0RfegOcQyKeWsheyGWP/RYC2bligFblEkJdkd2qzy+YkO6/Pprm9B6cBPfUGPNcMOM7ZvN8lBZluI6HUTW83abeOAcPac5PzTg2AKEEfx8hySi84WS9aBoju4ADJGRYekm8uAeIYWfW9NPYWh+FiKr1gsTMY64ac6SM6npw5G1mEDR6rB0g+TEXZUkIARF43ZUKDQw6oHfZpMAd9rkoEwyw7wSaqkh1aHxfW3iNmIk1NbgHaXgnZohxwMuE994OLC+jnSo6QIe5ggZplJ/Te4paOAcl7hcNwAYjMo2YXCxW3wQClyS1AKy3l9K3hlGFT3zOVAcc56/XfxOpzzDLW37Xg0D5w5ky5RTD06QisHsplCMMkGq0Mm3IZAssHI5TvV5tdzBP33hyB3anHT3nP4TpM0BfexkvuJ0RrWUBdh/NlBci2ewksHMcsYw5zUn+OwnR0u/c6mCtTS1XNNpZ1q2qYcDadzbQG9Op7aT3bOOee6QY8bvsRwABqM/sd0Vl/DHtDISpM0YgK+11SkOk2EmrdNAfVNgZ9nACIcDhzbvnQn0vSpwMgTv0+pfSCethTmAWcDBDlBjyukZ0jOJ48NljAwjGUXpADIBIDjg7UATQwkQPIUmjB3EwkYFg3DKeOwsLhUnipZZHkZ0gANKqNTtAPgAJqm9kUHAcHoAEkHAYcqUSQUdZAY4vSHVlK7616qwvf5wQDru0NASBh2MRZgvNeZQTO6nO08jay/SpRyrDp59QsBSBh2JuMzhAn6ONcXKC+lxY4cwIgILmEmHVxAYnVQ7+4ACAGzg0OwJtHq5vccHm7oXpYUnw6Sn9Dzm28WmfSnIelqi6Z1XyfLmndDM9SAiBLYFaH9stl8oIDFhCaifN8OnP5PnfO1JYFHJttYshy4ykgea9wzqmpXBblQtZZQkl9zgyQsJja+j07mjMv4Uzfz7REH11fzXADXq1J7xO83yUFmW4jIZVeMOr3KXXTnACIEkRynDpAAyTx+tgBEOVgYaHa9GwpxcjmshnMFJNvwOMaWUrpBcfIUthWvHI+M0WWyywwgYmtbh+t7oAFuJhuwOM1EicAJIy9QmHhvFgBEKesQf9NrL4mB9SmsAiZ68YAyHKa3Gp9za4pQ8wrhwFozruroI8LTlLLujl9JABz6QX14gJKyQ7HMQbMzjvn5jb9vZQMMfecSizPlbxnEsDrMBho8s8p09qmXlygy7Bdgtqu9wplbfOYUYS9wvTp5g3nFOc2Xj1GU9DHLdsE3JV6hU3tHbN6XJYkU9o0cFs06DHEj09fiMNYNwnnXghqM5iOlCQ718ZSmI6u3jOnFQdA71/GAXDUOJIBWeqtqqR2AIxepVqnuVSV16sUMJ+lKciUyr4Tk0PSCwIgt4cpPwBy1VtHf85VGZUeo+kGPFZdN7HsqVJQNeVUnUkGjNOAUetzaWQpteKcw5lSesEpHQPMWXFOec3o55KdbU4ApPdKMliQIwZAWqdL8IHa+Jvj1Om/SRojdXwUFg6n/A4wB7qciwuAEdaMIRvJAcFM+jg9mZROgyMrsLEuKfkUp47Tt0ZniL+Wjqy+uY0D/AGmObsHeAHmnB0xePXn6iawgHFxAdUfoZY4D2/Acwdqm25ODEFt1+cUO3HokMlkAicZt/GOfs64V7hggWFts3w6g31gszMMPqLv+4Ef6+49c3w6zax2eq4Yzik2SE4sBWXrI8yZejbPGtcNMxYomW/A4/Z4AswgNHV8uWwG04Yb8Ph+7P/f3psGWZZc52Ffvn2verV2dVV19Tr7voADE0AAA4iYASBCP2gbNmXCFiJAIcBFXkUEIizQDkdYlsKyFbKoQJAiQQAEQVOgSNMGTZiUaIcIDDDADLbBLL1Xd1dX1av17Wv6R96877737pYnLzBTVflFVEzPq36nc89zvrOk/wt4qndzWDIx7AvERx2GZDpGCFJwZPqSqtEXdHCHlWcbfT9BA4h6sQSTBWEV2eAX8FSiPWQbw3hDVIsPe6VeqDxdLeUBAV4vBSY/zAt4Uad6qUYqhHkB70CFkA0TAdcMX+QWiL7PQVE4vf4A1VZ4Ujucl0pxrwQSJDJ6KyJSW5WcDLlXVMmHoDOxFPLhAtFG/+gtirdUeIjd140schs+GiycoRu2fUAwKaQcDRboGFCPqHO2ww0qfQ4bDRa2yC0QHAEn9160ZKJKDbiQ543CuhHnQ4hHPhSiM6JMhwmXhh3eiMwmQ5AFTTWdbiobsFcI5IOzHW5QrR0YJE8lLUu20f8OUNwr2RSq7Z7nC3gqL7dJeUB0Ot2QkI32Lo3S4RyGIDlUcByGjepRupsD1o2qs3Qq6/8Cnp2qqqjfRHVPyTaGemhAiViL0IEdwoZUsZuPOgzJdIwwnUv55tvv2cUI1dKUgqIfwhbSE20MuEwbHeVD1u+i2lNUZIOINflym0qxUj954nfh69YA0nD2npM9698KXeAw4AU8Ob4qBRPF9/zT5ZTWTQBBstfoIBWPIRcyqifootpX3ivB87ynsFfsOg1BXvYIx3A4z6q1Kdxlqha5DVOn4UBxrwQR7yoPFwAhjAFVcjIbbACpkND5VByJwJQdtTEM7y2N5kyURW7fTHIybIpgaGdIgIeYUqwUCPKyh09fSVoe4qD0lbBFbkUbw5GTUe0V1YcLwqayhyUfAGuvhKjlpdLnmg9ZoFJUGwjvRAs7hjINO8i4D/sar2hjtClAQTXbOOdKfQ4TWa3ycptoY/QpyYA3IUuJWgb876lDBYIXCKODqZPaYRxKqil9wbp7WCd7LPAFvP1GR5HU9o/IH+ojag4br7VYbYd/VRUImdWgsPdkG0PpIwr3gJ+TfegMUa2L6X8PhF2HRx2GZDpGCAqh/3Ew+XuqBEnQodjsopxXMSJTOPBT3pWVsHCHbNgxDPMCnsqrQkCw0XegeMgGkUJ7dTUjMmyxv7BkBiCIsDCRCuENIP8X8PaoRp9Hn1vdPprdfui1zRhDKRMQFqxQVBsIzrdXvZyDir7apFXIPoeNLFAj1oINoLA1ngArZcdn3ai8DiP+nv8Yqj5cwBgLVsIISl24ItjRePqUC76G9BxG6S3db3SQTcZDFbmV8vw8xMoPF4RIs1QlocOkeqkZkQl/RTtifcQ2xEPulWImjAGk7gDyJ63CP1wg5QHeOt2wz6r3VLTzHFQEW92IjOY1XiDY0FV9uS1MZLXqGAal76tHGfv3mZK2Kb4XsG6U5jmoZIEqqZ30jaxWJSeDojs7vQHqnX7oeZavGvvbU2p6cdhI7fAOYn9CVplwsXVEP6d4tE72/UYXuVQc6UT4u9mvviGlHADgfU9xzsVeUbD5jjIMyXSMEHyx0Awgr0NMpsMoKbIBh+KesoKTRKc/QNMrequumL8fkIYwVIxVDkX/QpZ7CgUTAQQWrd5TPGSDjHvViJSgF/DkIavisRFGX9BFpeY5BLxfwJNKc3iCxN/QVfVEAjISwDv1Yq+uqMiGIFziMWbPX3D7wp03Yfts12nwU8Lq4aMIgeDzRuXhAiB43ajXlPNPvVB9uACw6rgEELxq6bnh0hDUCVn3/axa/DSTjCEVjwUaaWGNUtnGKAmcQIJElXAJOLNVX24DwkUWUAheTw+x6iMfAQbQsFBwuDbKsy4olV3tjA1Op1UhtYPOWNUIuKAacANJaivfUwHRHgp7byrr/wIeJR0G8HGGKJLaUmZU0WBAuPplYV9uA4IJElVSu5hOIMaCa+uo3qVRleIAnCULotHBhmd2wD2lSqBGmNUQ5DikOkuD9kpYWyBUfUPlM9b/vFG1IYOc4sM+R+MsbXSsVFUTyWRw1BBUWE71gMgm45by7n9oR6mEqabDBBFh6gWhA6J6GmqKLCCLd/p7dCnhol7RW6pRQkEG0J4iORn0Ap6sB6DUxjCeQ0XiT3zPa57V1naQt1T1ogKk4hnkIVabZ7/Uiz2rZlRoz2Ho8yZ8FI5f6oWI6glf40m0MTh6S9Wgkt9zAyUdxk+eqhcNCJd6oZpy6Pdy4n4j/MttUh4QxsuusG58ah6pPlwABEfcKhtAQfNM9LIHRoMpre0wBInaeTPgQK3jTciqPFwQ5CGm9dnfYFF5jVf+21EaVGHJgrAyg8gC1Zfb5L8dZfSp/Lc9o7eUDedwZ7aSczPAcUiJIqy2vCNkVYm6YUS+R58V7xU7esuH1FZ5jRcIE1mtTvAC3mSBeuRkgMPZGlu1tMgQmRyK91Tbp77hQVOkqoZ5uQ0IJrVVy48A/vUNVcuPAMHr5kA1wj8ok0O15Ergma1mhx91GJLpGCHIQ6xKFjDGrBoDAZtFKb0tRCQTISLFT/FUOWRDHxAKoY5+SphqPQAhL+X7Ap664RyWIInGYFElcILkyTaqKYnBfVap8WQr74F7L7o+q0ZvBRpphLQGP3l7FILEp+aRakSdlBeptzQkQRJW8ZT1PTxTnEne0qDUiw5UXjYJmmeV12GAMOuQsFd8zljV12GAsBFwKn0OlyIY1pDMJOPIJL0f0Rgazqr1y4IcQOoEiV86rRKpHbQOCeeNX5/tl9tUxjCXwmHLL3orfOor4IicjIiQDSILVEkrIFwUjqpjQH7PvY1qL7cFRVarjqFso1+ktkpBaPFvB0fIqt4BgP8YAuqEbKDDWTXSMcrIySCdrtlBPMZQCFl/UdY3DO5zdJHVe/XwRfeBYHtlT5XACZnVoEriRFV+BBje9V5OdmUbMiBQQdVxmIjHUPR5Ac/OrjEkk8FRQ5ABpFrkFpCGrn9+rvJrT4EFodUObfE9LwVCTV7QC3iq9QAAf7KgatUDoPTZT4FQIcGCXsBTrdUDWB6biPK6hbyA4nxNtXkODqFXqwcQizHfWlkUL7uf8t7u9dHo9JUJF2dbJtuoqOAEkNqUefarC0OV51enQblWT4i6MCoPF8RiDKWM37pRP2/81o39Ooyi4Qz4p3qRyMmACLioDF0KUTeVTfp7iBtqYxjY52YHqUQMmWR4lSzcGRttJBMpssBnr6hGCQHBDiDVefGSd0gynJO+j2iovNwm/m3/Z9RtUjtkijPgT6yRiDqfKEKA9noU4E8KqdwBMrI6iNRWjvrz2HuqL7dJeYB/pKNqIXEhLzpSyI8sUCXJpTy/F/AOFIm6wPOhoUZqy/qGwX2OJspYRmqTMjl8zgdV4s9Pnmr5EdnG4OgytXn2rW+oaPMF3VN7dbX6i4B/tBWFqDvKMCTTMcJUgCIrC6yFrQcA+HuIKSlAfi/g9foDQjqM/4tUqqy2aKN3mhI1qsdTYaoTPEohvBeql72fPNVCelJmUB0J1RB6L+Wdc07wXgQr76rhrH57RbXG01Cef7i7ilc8TLqJyl4upPxTL0ikts8YUiKjgggS9SK3weSkqvLgp8hGbQzUOuqew+G68TaAVOQV5MuJAbUulIwqX2OA5hhwtmVCpmL6XaADyFqHYQ0g2cYoIxX8HtGQL7fRUgT9+xwWybj1iIbP3gPUnCFTWW+ChFJHLyj1glKrB/AnC1QitQFxJgatG1XD1IsssCO1CXvP7y5VmRMpMyhCNqoIOBr54F+bT/XltsA0y4bay22AP7FGdTgDflF66inOzrZMyFMcQ8C/Th05cjLCdRhkC6jqI/YLeFFGwPmkCFLKjwQSsqopzoERcARbwOe8oWQ1HGUYkukYoRigvKsaVIC/p49k9PmEf8tQ4ShDHVUL+wLwLSy3R7hM/ZR3OVeqRB0QXWRB0At4qoX0APg+9U5Ko/JR3lvdATq9AS0PO4CQVYHfC3iUFMGpXMqOdBsHJa97uG6iuZyDUi8opLZfOLnqy22Af8Sa6sttI/IiSjmUMgMVT0VDt9pyXzeq9Uyc/7YfiaMiT9Te8ieFlD2HPme2FlkQ4BUPizCpXqrrxi+VnUTkZ70f0aAVuQ1K2aEQst7zfEggtX3JArluIo0WVSQLrAglv7VNOW+iJAtk6q2bTme/3EYgC6LcK8LQjS7K2C+ymhS1HCK6U6XPdlF7z3WjFqkNhNsrUaW3qb7cBgRHGR8qRk6KNnoTJNTISa/I6uFLcBFmcigSa/YLeD7rUJXU9rMhKeVHhg9ATMqUpLaKXhz0Ah7JcRjivFGZ56MMQzIdIwQr7+qXs5/yTkp78rlY9iiHbGBotVp4OuBv6FIPWS/lneoNcX7XCUqNJynTz7hXP2T9vOwUYs27zxTPgF2nwce4VyZkfZV3tRpPUp6I3nLpsx22rE6Q+KfLqRt9vmkNymOY8vRs7tVpUYSA+/lAebktavIBQORpln4eYlL9kRA1C1SihICA9DbSPRUc9ReVoUt5uc1+RMMnXU5574U4Yynz7CZTErxKhGyYVA7CXvGLqFN5uU228aDp7gCy101EZCLl5bagRzQoZ7YfWSDPDLWoP++9olqjTrZPfDeaaDDRRp/zoan2chvgH1ltp98RnGhRErJTARH5FP0mqro1zr/rJpNCagcVtaf02VcvbnTAmKirGFqez16h1bD0L5IvXuONLrBANRUNGJ43rk72iKOMpVNW5UwMegEvan2EQuQfZRiS6ZjBN72N5Dn0J63U02G8WWjboFLY0Paz5z4HBCXtyY9Yo3gOZVvGoVqMXfxdb+WdUuMJkCH0Eaccel4sGgqJjyKrMs9BdRpUCyYCwSk7qp5DP+OeWmfGS570HKrulahJ7emcd50GkucwxHmj0sZEPIaCT1FH1ZfbxL/vTaztN7ooptVJbcBjrxCKageR2pRoCt9101Qn6qZz4gU833VD6vPkPFPqj8hHNPyiCFUMcSD4blZ5uQ3wv6eodbK85AHqL7fJf9//vFH3OHs9okEh6vzuKcrLbVJmpJGTIerMUKJw3PpMicSUjyH4tVGV1PYn8mkEL+Cugx0Qzge/F/AoL7fJf9+/rpWq89W7qD2JyPchSCgvt4Upak9xlvoRa6WMIqntE1mtE6nttg7t8iOkKJzobIGpXBKd3gCtrsvdTNDdfZ0hhHUIwLeQP8UW8KvJtN/oKkdqH2UYkumYwW9x79VpodVez57LQ1spHcZXeVePcBk+ez4pj5IOAwSHd1KYfCA6j42fPEqNJyCYWFMmXPyUd0I6jF8eNsUbImVGG5LvH5FCIXAAL2KNEL3lJ49APsi/7xm9RfG++qTT7jc6gtRWLHIrvzvZPppCEpTqpfJyGyAVWe8xVDXEwxEkKkZf0tPoo7zcBvjvPdV0X8C/3hiFFPIj6ihntvz7UaY9BRU7nyakwwDREbLyEQ23vdyzXm6jkIl+fVaVF6rPiqnxgHvqBeXlNiB4r1D67Jnq1VR7uU3Kk22ZaJ+9V8LvPUkWuPVZkNqEmkwBKUCUvSy/Ow7K+eD3Ah4lSkj++/5Evjrh4he9pfJym5QnvzsOanHkoMhq5b0SMIbkdeMWyUSI1M7JF/Bc1qEsP6Kqdwa9KE4h8gGv6C1CLS8fxyHFaQ8EpJ5T0iyz3i/g7RFsgaMMQzIdMwQx78qh1T6sMaVWj6+XnaDUSZlu7TtsinQY9XBRfyafclEB7pepvFhU+uz3fDUlFQ0ICpFVP2T9csVJ3hCfi4qS1w3A83UmmQ5DqcnkpbyrFmMHgog1qZCElynrNLh6DglpVECAB4hCagecD6rpMH7nF5Wc9CoGSnm5zZbnsW5ohEvwXlHZz/EYQzHtHvWnQ9T5eZwpBhXg1Wf1l9vk+HiRnYD6PRVU9FX93kt51vcgkQ++Y6hO1Ik2uvfZrr9IGUNPwkV93fifD+IzSqqXL9kZZeoFkVjzJAtI0WA/rj5Pymt2LVI7yshqYuQkELBXCJHVUZFWgH/Raspe8Yugl6lokZPalNRzl73SH3BUFR8VEv9+ytvJTiwHIL87IY9wxsoX8KIqPwIER+TTbT73dUMpP+Ilb8/Wiyk25KQ8zjktGyYnXsBruLyAJ+qhnYx6TIAhmY4dvAiSTm+AWrtHj6Zwu/yIoZOAu/JOPhQ9FBJqFf+pbNLzBbwDYhE4wMNgaXaUD1kp002BoOR1y7/vdlENX4dRZ/IBb8WTGuHi3mf1+kSAd5+p68bP00eLVPDP30/GmVKNJ8A6H1yUMOq6CTaco4v6o4Qt+9VpiDoihfJym5Q34OL749CJznAPJ6fVA/BaN9T6AkFpT1FGpEjCRcUAki8n+hkDyultHn1u9/rKL7cBAYQGgajze0WQOs+CFPKRR9AfvGooUYvuA97nQzEjHlMJi1Qi5lnfg/Iyk2ije3SGTWoTnGiAd+0t1XXtHy1KPx/c72b6GHpFVtOiwbxfg9u37maVl9sA73tF1l8kRf39OKJwPNY2pRahlzz6PLuPoc5dD3jp7uopzkGZHKqR2lKmm15MKT8CBN/NlPIjzvaMylMvP5JJikhL9z5TdXf32sO1dg89xRpPUh7gEbFmIpkMjjK8jD77kFV4Qh1wKiRuhqk64WK/gOfRRsoh6+UtHXqUiIRGRAeE7+VMIOqkTD/lXb3P7i/gkWs8BV0sipez3wt4Ot5Sv8uZnt7mtVei85aKlIGUkuEsZfql31FqebnVaaCS2v51GtQj6vzqNOzWNaL+XNq3W6OHagMeBGqdVkcPcN97u3WRDpNORGMAyTGcyaeV5Ml1M/4CHucce42OujwfgmS33sGM4hj6pezIPs8WKIV4vdMkZlTl+ayb3XpXeQyHdWHc+5yIMfW72UN5p66b6WzKs77Hbp1WOwNw7/NOvYNZRX1JtNFr3bQBADOKMqdySY/XeMX+oe4Vt3uK0me/tG55JtJqRHrLU26jz126U+8o72X7bnYhC3brbczk1e9mr4g1+7wh7JX9Rmfibm51BamtvA4D5llVnt8LeHKvUOYlyr3nF1m9W29Hug4pkdqije6BBVSdbjqXRKMzGSFLLT/id8ZSyo8A3oEFlIdNxN8PkkfN5HCfF4rNd1ShRTIxxv4RY+xVxtj3GGN/xBibdvzuU4yxy4yx1xhj73d8/iRj7PvW7/4ps05ixliaMfZl6/MXGGNnHd/5KGPsDevnozptPu6Yyro/X00N8Q+OSFGTJ1/A8zLEKYes1wt45D57HIrykI02RVBdMQa8yUQdwsXtBTz7yXMiWeB6+TW7yqltUqYXaaX6OoyQ5x/JRKnxJNrjPi9REnV7dZo3JGjdUDyHbtFbZM+hjwFEGUPRBvdIgJ2a8BxGlfa0QyQf/M7YnXoHc0RjwF1eG7MFNWNFynRXtCVZoN5Gt5cTD1s9dPscc8rGhXd0BsWIlDKj7rNb+yo1y6AiGkCufa6pG0B5q76HFylUzqvVXwS8a11UqGSBx/nQ7vVRbfXU141PtKgkC1Qx5XPeAFDef/K8GXcA2ecN1XD2IBNV+5yIxzzTaXfqHZQyCaUaT4B0ALmRYETyweMuHQwkqR3d3bxT6ygTQqKNHuuGSmpn3SNkqetm+HS8+7xQz1ivdZOyHtlQkud1N1t7b05x7/lFW+3UOsp72S+ymhKpDXiT2tSUQ68X8KjlR/wcQJTyI4Cfk52mx055pNNSylIADp3OM7DApMuFxdcAPMQ5fwTA6wA+BQCMsQcAfATAgwCeA/DPGWPSAvwNAB8HcMn6ec76/GMA9jjnFwH8EwD/0JI1A+AfAPgpAG8D8A8YY2XNdh9beIV36qRRAX4RKdGx0HvEzeflAbLrHUVUqE4esqry/J6vph6yXgYLpZAe4D3POnndgHctHFUCB5B9dr+oKOtQrptxT599sajWePIgE5sd9SfPASAZt6K3PFLHKN6Qqay7V9yeZ7Knb3ReqBF1fufNHiECDvCu07BTFxEzNFK7M2n0WWTBHDGCZG+sjZ3eAAfNrrIi67duKEYk4B31V7GV92iMPiqBI+XJM39cJoVY81o3lVobxXRCPRrMo77HMDJKPVIBmBxDzrnVZ7UxHDqA3OeZFNUTEAFHjiAZ129kNFiUUT0EI1LITLjulZ16B8k4s4s8h8V01r2+x5C0ipDUrtEI2ZLH+bBD3Hte6XKyz9QovfE+H5vrJvwAACAASURBVDRFNJgqKWSfsRGS2lM5jzEkR4O5G7rynlI+b3x0ut26evSplOl6N1vrUDkazCNCdkfzXhnXO5sdWjSYX2Q1pfYp4BMhq1F+BJhcN+QyEj4RsvuEbBjRRndycq/RQTGdQJJQfsQtQpZccsXDFqCWHznK0CKZOOd/zjmXNPk3AKxYf/4wgN/nnLc559cAXAbwNsbYEoAS5/zrXGjovwvgbzm+8znrz38I4L1WlNP7AXyNc77LOd+DILYkMWUwBi9D175YCCG3wOQB0er2Ue/06QqJR8gtVZF1e76a7PXyCHWkymOMWbUk3D1Aqt4V2UYv78pUNkk4ZN2NPqoi6+Xp6w+EAaRqlAJ+fW5jrki7qFw9fcS94lVDqUIkHwDvUOideoe+bjwU47SVkqgqD5ic5+0aba8UM+7yOOeo1NqYK9IMlqiiPQBgJp9Etz9Z38MmSBT7PGORmfL7ElLBoZyx5XzKThFwolKj7b2ZfAq7HqkhiRhDKaOmNEkCd1wm1QAqZZOIsUmiDhD7jzTPueTEnACWQUWaE4sI87hXqKkc4208bIo6EhQysZxP2TVgnNgl3lNlawy9CFlyn2ujbawQzxsRARtz7TM1Xa6cc98rOzVaGpU0EsfnmZ4C5E5qt7p91No9Wp/zSd8+K8uzyMmeJyEbjfOCGiUkZLpHVu8Q0qgAb2Jtt94mRYN56nQakZjAJPkwsHQ6Sp/9ImSpzhC3CFlylLEHQSLPbJoe6x2xRo2Ac0+ZpqU4e6VFDiPg1NroGyFLtPm8iLUd4t3s5WwY2nzR2M02qU24S48qoqzJ9HcAfNX68zKAdcfvblmfLVt/Hv985DsWcXUAYNZHloELpj1CWivWAaFqjBczCTA2eeDYhnOEZEGlRidcgEnjfqcmXhUqKobceh2y21VayK2U6drnKpVw8SIf2iR5Xrni20SCxOsFvL1GBwOuMYYRXs5enr7tWgeM0V6oEPLcDSAKEeYVebRTI4ane9RpqFTF3qPUkQDcSG0xBvOK8+xVp6He6aPVHUQaTUH1OMu1u10dJXGoaQhSXqU2TrjQ5EmZ4/KETJrRN1dIY7/RRac3RuTXaGlU84UMALHuRuQRxzAeY5jJp+y9JiHTqOhjOEnU7RAVY7kXKlX3eVY9Y+ctwnV7rI0V2wBSPxPnCpNjCMioP0Kfi2m0rfps4/Io0WByDMf7TF03jDHXvWIbzoTzYb7ovm6o0R7y3piYZ2IK0Ew+hRib3HvUiDrZBq8+k/ZeMQ3OXUhoKxpMVafzSsOmOpQA78hqUZ+Ipse6FbWnO5TcnV7UulZJK31t/K7fb3Yx4HSiLuoIOMDNWSrmmRzVMz6GxJpygHfmhbB/aDpi1SVCtmLpiOo1nvzHkOJkd3Nutrp9VNs9+x5TaqOP41DHhhzvs7yryaR208MWIMzzUUUgycQY+38YYz9w+fmw4+98GkAPwBflRy6iuM/n1O+Mt/XjjLEXGWMvbm9ve3XpWMMrTK9SbYMxkAqgljKT+fFUBQeQHhsPj7MOC+0STTFPMJynPciHHQ3l3S1FsN7uodntk2ukuL2AJ0grmjcEmAwLtg0gYqTQBNlZ0xhDL3KySrxYPBSInVobM7mU8ot/XutwSBbQ+rw3Jq/bH2Cv0SWP4YCLgu5OVIjRZV51GirEiBTRxsl1s6OzbrJJj+gMmuHsRwoV0gnl2mAi8pC5kFb0MXQzdIdpVDQj0tmmYRupRqT4jiexRiT/tscIHGpRbdHGNHZqk4TsDpkskOtmcgwTMYZSVs1wziTjKKYTE/KoKYeAHEMXsoCYRuW5VzQIHDd5uxp7xa3P1KLaUp4bIUuNIvQiZKkPF0hCdpy02iUSdaKN6QnyFLDSLEl99iJk25jNq+t0XrV1qJFRgLs+ohPh7/UC3g6hqLZsH+AXnUEtMeBOPtAijyZJKymT6lAC3EkhSoS/17rRuafcnF4DO8KfTpCMOyMrGrXBADeHM81xCLin21NrEUp53oEKtChCwIVkqrdJgQqZZBzpxKSTXcduPqoI3HGc8/dxzh9y+fljQBTlBvAhAD/PhxT8LQCrDjErAO5Yn6+4fD7yHcZYAsAUgF0fWW5t/Szn/CnO+VPz8/NBXTuWGNammDT6ygTDGXA3dKXCQzYix2pn9LQMZ/fwb6qCU0gnkIixSXlVveitiTQJHaLOi3nXSL8DMDnPtTayyThyKbVDVsocl6dzObvVwhFpVPRoMMBt3dDITunpcxtDAKRUL5H2NG5Q0T3OXqkXVKJOKgg7LmRBPMZIueflfMqOTLDbR/SiSXmHrZ6L0Ufr87wnWUCLEmKMYTY/SQrpkgXj8mQaFcmILPoYfYQ5kcrvuHFPTQGSbRzv81CRJcxzIY2e9Uy8EztERdYrAk6+zKRqOAPiTJkk6uh7Zd5FXrsnPM7UaDDAfZ6pzpVknE3uvRp9r7ivG70oQmCSkCWT2h6E7C6xqLZs4zghq3PGzllj6CRkZVFtyt7zImSpYygjq70i/KOKkKVG1AHer3BRI+psna4+TjLRimpLmZPpvnQ9tmw5lMZrKFEj4KY99BtqrTEZWe3VZ2pa5Hj79q00KqptAbikYRPLC0x5rBtp/6jW7RRtnNRjdeyfcj6FZrc/6WSn1tHzKJFSqYqHVyh383Ru0rmp42Q/qtB9Xe45AH8fwM9yzhuOX/0JgI9YL8adgyjw/U3O+QaAKmPsGave0i8A+GPHd+TLcT8H4C8t0ur/BvAzjLGyVfD7Z6zPDFxgh9CPe8WJhjgglG0vLzvJM1dMo9rujRwQu/ZFRfd6TfaZZkQyxjBbSE3Iq8jXqAiF6twUWWrdGsDh6RtXjqs0A0i2YbLPtHpHgLuHWOeQnS+m0e2PGn3Vdg+d/oCcGgK49ZnmUZIyo0rlAICFYhpbh62x9gn584R5XiiJfrnJpCqyqXgMWy7zPENIowJEn93mBKCtm4Vixm6TRKc30EqjGpcH0BVZwN/QpdTymi8Ios5Z00THgy33ilsUDsWITCVimM4lXftMSaMSbZxcNzr3ipuhK6PBaMSf1xjSyEkpc7s6upd1jL65Qhq1dg/NzuTdTI2oA9z3ig4h65aqSimqDbgTsjoRLr6ELGGveBGy4sym3VNu580wkikaQlbWH9GJFp3oM5FwAUS/xp0XMnWMYji7pedSa8oBwywD9/OBtm5iDBN3s4xKpBjOC8U0tsbOGx1nyHwxjQEfJYXsotoU/cbL/iHWyQKAhVLG0xlCPRO3q+0RZ6lO5Lc8byZ1MJrNV8okkE7EXPTYNso59WgwwLIhPRxAFCLMzeYTgQo03d0z9ZxI1EmZbnY4QLtXjip0azL9MwBFAF9jjL3MGPsXAMA5/yGAPwDwCoA/A/BJzrnUWj4B4DchioFfwbCO028BmGWMXQbwXwD4NUvWLoD/HsC3rJ//zvrMwAWFdALZZNzV6KMoDwCwWMpgszpulNIVWftQPBy2cVuDfPAznKnE2mIpMzGG8rKPEwzn+WJmwugbkgWUPgvDedPR505vgMNWj3RRpRNxlHPJCQViR4Nw8ScL6ArEpmPd2NFlBCJMjuHEPGso7wvFzMQ63K6K16hU06ikvHqnj7ojhN72smsQLs4+64RqM8Yw76J46hB1QpGNjpxccFHCqEW6gWFNEzdDl3rGutXC2am1SWlUgHtNk2HBV3q6nFsUDlVh8jLu6fLEGDqVd2pRbSkPGO2zHQ1GWIcilTLmStTRSW23SCZaGhXg7rzQiRLyJGSJ6bmAO0FCLaoNeBCyGilAbmSiThqVFyFLjfYQbfQ2gKippcDYuomCqJvosw5Z4O4spaRRAeIu3Wt00e4NCVlqUW1A6JyA191Mi8KZLaRH9GzZRiqpLfQbD2KN6EQDRvVY2xmiEXHrRoRR7+aFYnqkfcCw3qvqQylCXgZtS1eXGGZJ0HU659rmnGNbw8m+UJrsM7UUByD2npezlBRYUJqc591GB5zTnK+zll03Mc/EzBDA2isuemyM0e7mowrd1+Uucs5XOeePWT9/1/G7/4FzfoFzfi/n/KuOz1+00u0ucM5/SabYcc5bnPN/35L5Ns75Vcd3/qX1+UXO+W/rtPm4Qx4Qbotbi5E9nJRHqT8CDC9TJ3G1o2E4z+RSSMTYxOVMfYIYcL9YtolFugFgsSSMPqdBoMNquxnOOjWjhMzMCIED6JGTC6UMtqqtCY9NMs7s+kVq7Zu8WKgvXgDC6Mun4pOXqUbUn9veo9YfATzmOQLCxamQHDS76A043dB1JRPpBO9CMYPdemckvU3H0HUjoXXSqLyKTFPrSAAWWTAW+SAjZmiG82Q0hU4hcTdPn04aFSCjcKKL6nErMq1zr7gVma5oGECyyLSbca/TZzfygZxG5VJkekcjGsyNkJWGs070ljvhQtdvvAhZajQYMNpnnWhWKTOqaDBguG5GCVmRRqVaf0S0b5KQ1SmqnU/F3QlZYlFtwIMs0LibF0uT87yr4URbLE3e9bKoNp0UmnQAaZFMJbFunOltcm1TosHmXQgSnRqWmWQcpUzCxXFIe3UMcHd67dTpaVQL9roZzos8b+dJztJJp32tLcoD6Ohgk+QkLdodEDbfYWs0e0UvOn2yzxWNh5niMYa5Qmqiz5UqnchfLKVd7SlqoMJRRZSvyxm8RbDoEk1BfREHEIdYtd1DozMaTUE/wFwOCA1WOxYT0RTODX3Y0jOc54uTIbLUGi7A0NuwGZGhO+/mAdIMxXQnJzukiw8Q89zt85EaRZUqrXAn4PD0uUUykT0so94G+YyzlvdiwgOksW78CBJielsyzlzJSR0izI0s0O2z08Co1ITHmWI4u0Vv6RjO4nujNU10XqMC3GuayJRDqjwpwykPoO0VtyLTOhF1sh2T6b50x4CbcV+p0dOo3IpMD2sR6pAFQ3miphxdeXcrMk31YAPuRableEZFyMr6I/Sov8nzZlszog4YJWSlfFI0mAshq1PDUrTRLX2f7jicK6QmCNntalsrjQoY67OGPuJGyDY6PTQ6fXL6/mJp0om2XW2T0pEB90joYQkEQnpbwUpvc7nrI40KrrZJ0fNS3oCP1hvbrrYtvYJyN086DnXSqAA5z0N53f4Au8Q0KmCoIzoJ2e0qfe8NbYFoiLWiFSE7alvoFZh2Iyd1otPdsleiCFTYqk7qN1pZCGPRYDt1neCMDHbq7bHsFbrdfFRhSKZjiPmxsGCdpyIBQVoBoweEXkpR9BfL+KGo+1TkYknk73fHappoE2tjhyLVcE7GY5jNp1wVnKgIkv6AW+HpmgTJWOSRDgkGjEbA6c7zwliUns6LF7KN9U5/NJpCwwPkRpBUrFBtiseZMYb5wuhe2dbwAIk2picuZx0PkFSAx/cKuRZHIQU2Vpti80D0Xyorym0ciyCp1NvoDThOTdHkzbnUNLl72MKShjxglHDZPGwhxjSItbGi0HetMaT22a3IdBR9dsrcPGxhsZQhGc5uRabvWucjtY3j60Y4b/rafXYafXcPWuR17RbJJI0XnbXtJGTlutEZw/FX/+4eNHGK3OdJgmTzsIW5Qpp0N7sRsvrrJjMir93rY6feoffZ43zQmWNgdO9Fs1eG8jY0181iKYODZnckmkKnz0Nn6fAuvXvQQjGdIBXVFtEUo9FWG5pn7HjZh8GAa/V53sUWuHvQIq9DN/LB7jNR5rizVNQ/oq+bhWJalKJoDnU6nTPWTS+uWKnxlAh/xtjEPOvUBgNkLdBJclJHRwTG+0wnXIbZK5Npljq2gHMMD5s9dPu0h1KkPM6HDk1AL1DhqMKQTMcQ42HB8s9UkmnBJYz37mHLPjhUUbYOCCeTv3nYRiZJM5yBycijuwfiz9JIV8V4sWDOOTYP2+SLZci8j84LdQwBMZ/Oi0AazlSZsmaBVN4rtTYGfBjGrQo7LfIwGgMolxLK24iCc9iyaw9QIFP6JOReWSQrdZOK54aOQuJCTooxpEWDAcD8WCFLu8/kNo6mtx02e2h2+/pK2JjyTlU6k/EYZnKjBZI3NEmm8Sicu5qKsVsNkrsHLZyayhLbN1kXZuOghYVihvTCqJTpHEPdPo8XmW50ejhodrVIK2C8z02yceFWZPruj2vdEOfZrcj03QM6UScdCk55GwdNTOeSJI+zbOP2COHSBKBHWjkJ2V5/gO1qm05m2JFMo3uFKg+YTCHWJWRFiuBwTuQdqL9XRueZupclITva5yYyyRjJcAYmI9aicAwAQ2KNc46NAzrh4qXfUOVJmZsuOh2ZcCmmseNIb9N1hrgRJDqOgUwyjqlsctQBZOl0ZHtlLNVLn7Sa1N11+uyWybF52MZ8MU16KEXKHNVj2/bnJHmlDKpjd7NOoIKbs1TYP7QxjNmE7OgYyraT2ljKjOo3lv5JlueSbbJ12Nay+Y4iDMl0DDFeLPjOvljky9M0RXZ4QAg5nHNs7LdwmigvFmMTh+LGQROnp7Nkw3m8UN2dA6HI0vssDwhxcO1YRjTd42xFUzgOxTv7LSwR2wdIL5Wzzy0wRlc8F4pCeZdPod7ZF2O4RDSA3Dx9OkYfMFm8c2NfkA/UHOcFK81ShkLLvXKa3OfRy7TW7qHa6pHHcJjeNj6G9HUz7qWSe+X0tJ7iKY1nKW+JKs9FIRFGH73P44Ts3cMmOVLBlucIoR9GZxDJgrHorXavj0qNHqng9gCErgEk+2zLiyBSARjeK1ERdRPkpO66GetzIZ1AMUMznOeLoxGyutEZ42OoG6kgi0yPGFQHbfKcANbLQhFGZ4y/prRtOUN0ibpxA4hKZgCwokVHz69knNkviFHaWHOULIh63QBC16HOiVt624blGCA7Q8bIyQ3NM3ZICgk5Ms2UurZnbGepY21r7D3Rxsl1Iz4nznMpI9LbrHHctJyv1D67lSzQPWPHneIbBy3MF+h1a2T6vrybdSMxxx19zU4fB80ueU7c7mZtvXgs1Uvq7lQbbTzySNeGlM7XzXFbgKgjApMRa3f2myhlaFGEgEXIOu7moQ0ZzV7pD7ggJzX6fBRhSKZjiPECghvS6NM8ZCXhst/ootmlh/gDk9EUt/dbZMMeECl9e47aFBv7MiJFLwpHGiw24UI8ZBN2etvoIUs9wIBJsmBjv4mFYpqUGw9MeuakgkO/qEbJgmanj71GlyxPyEyPEWt6l/NiKY1md5jeNpxnvUgmeZlu7OsRODK9bXuMnDytpZCMKe/7LUxlk8il6Jcz4Hbe0OZ5PL2t1x9g87BFHkNgsvaWbqTC8nQWnd7AjgS4q6nIrpTFWN3eE2Mn97VOFM7p6YwtD9BXZJens7iz33QQa3qRCivWOXDb2iO60R6z+RTSiRjuHDicIQctnCJGYgLDPkvoEnXL0xlwPuzrXWuvUI0+uSfkGOpGKog2jvX5UG/dnJ7OYrM6rE2xeSDSNql1YeT9Ids4JK1o8vLpBKayyZE+654Pp6czI/IkaUWNVFie6LPeupFns5RXbXVRa/e05/n2fsP+fx2yExB93q137GgK+4wlEySjeqwu2Tl0lo5GHmkRsmMlC4QzJEV2hnjdzWSC18UZopO2CUySBVE4Qzr9gR3pqB3JNO4M0XSuiPS2SYJERy8ed6LdOWgin4qTahECk/XGhg5nWp/LY48zDQYcdw/ogQrAZHmPOxqBD4BYh+JxpvE+E+2fMTt8q9pCf8C12ngUYUimYwhJFkhFVnezTOdE3SBpOA8jH3RIobR9+APCGNcxIieM+wMRqZBO0EL8x+XpRrgA4lCUcyIjFXSiMxZLGWzXhsr7Hc0Il8k+6xEk2VQcxUxiuA41I2ZEGzP2JQ9YxoBmNBjgXDciUqFEjFRYGJN3R5OoAwSxKceub0UqaMmbyowo77rkg1QI5Xqx9wpxnpPxGOYLaZug26qKSAWdtb1UytgKNqCvyEpS6NaeMKpkpAI1f//UVAYxNipPfk5vY84mH3RTQ6S8Vndg1xiQ0WXUSIWVcg4AcMsiwobKO22eGWNYLmftMdxvdNHuDbS87CuWPEms6ZIPss/rVhtlWjc5UqGQRjoRG46hpkEl2pjF+l50e2V1Jov+gNtrWjdtc3Vs7w37rD/PgH7appCXw8ZBy76bdc9Yed6s74p50Y3OmMomUcokJtaNTvTWajlrywOGkUxU2MT7/nCep3NJZAnPxgPD2qJy7HTTNgHhLJXyev0Btqr6kUw7jtRz3b0nx1/uPV1nSCoRw0w+ZcvTdYYAlk534CTW9M5Y2TfZxs3DFtJWhCa1fU55ugQvIPRE6WDgnOOOJuFyaiqDWrs34ixd0sgMkbbAeJ91s1dk+mel1ka3z7WcpYul8Qg4TYdzcdRu3tgXaZvU9La5QhqMDfdcFDbkUYQhmY4hzswIRfbmbh2AMHRn8iny5cwYw5mZHG7uWAbQvr7hfGYmh/XdBgYDjk5vgO1aW8uIlH1e3xVtFIe2Rk2FQhqZZAw3d6XRp0+QnJnJ2fJ0i59Kef0Btw8vkcKooyTKdTM0dLNWzrxOG215+3pGpJR3Z7+Fbn+AwcBK24zA6JNtvLOvd1GVMklMZZOOPut5gABgzbH3KjURqaBDrJ2ZzQNw9llPwVmz5N3YGe4VcTlr9Hk2hxtje08nzPjMbA6VWsdWwvQNoDGCxDKcqZEKyXgMS1NDI03X4yzaODScZYHpKIy+dccZRq3XBjiJtbGIFM15iVZedoRY06kpJ+UBGJlnnUiFcWItKnJSEmvSGaLX59G9snHQIte8A2CnuU7Ms/ZeiZaok+kRso3RjOHwzM6n4uS0TSkz6r0niTWZtqkzz+PEmk7NKEA4S3OpuE3wRtLn6eG62bZrWOpFbwHDyETde0rqxTd26ra8RIyRX9STMqVtYafzaek3edw9bKHV7VulOJpaYzjs81CnOzVFT9vMpxOYK6RsHexuJH0e6sW6pTgA93nWtc8A4KYl786+XikOQOhgNxz2GaBvC+w1uiMRa3p67JgtcNDEYjFNdoYk4zGcnso6xlBfjz2KMCTTMcTSVAbJOMN161C8vadnOAPA2dkcrlubRV6AOsb92bk82r0BNqstbB62wDk93xcA1uaEoXtNtnGvocUYx2IMazN5XKsMxzBteXHobcxhfbeJ/oDbaSxafbYOxes7dQwGHLf3m1p9ni+mkU/Fca0ix1BEl1EvZwA4O5u3Lz55yOr1OY/+gOPWXhOVWhud/kDrYjkn142cZ82wZcDaKw55MaaneJ6ZzWHDUsJu2etGT8EBhELCubVuNOQV0gnM5lO24nl7r6lVJwsAzswM182tCPfKzZ0G9hsdHDS7WJ2hy1seIwuu79RtxUxHppQnFVppaFGwUhZKWK3ds+XptHGyzw0tealEDKdKGdtwvrFTx1whTXaGAKPRFHL9yLmnwEmQNDt93D1safVZRH7B0cYGVjXXjZMsiGKencSaJBT1xnA08ujGbt0+gyiIxZgVbTVcN8V0AmVipIJooxhDzrltnEaxbtZ3m+j2B7i919SSN28RazLC7OZuw3YW0NuYHdl7wNBhQJUnibU7B010+xxnteSNEms3NM8bxhjWZvP2/N7YadhnEBVrs8JZ2usP7Dtfp89nLX1E6nSiz3R50zkRsTbss7inqM4QYFS/kTbBWY21fXZu6CCu1Dqod/pae2VtRjq96tZ/G1rrGhD7Qvb1+k4DMaZ3N5+dy2PzsI1Gp6ddP0m0b5RYu73X1LLPcqkEForpoQ2538R8gV6KA3C3BaJwbt7caaDR6WG33tGStzqTA2MY6u57TS1nLiDsC+cYAnp9PoowJNMxRCIew2o5Z2/oa5U6zs8XtGTKQ5ZzjqvbNRTSCfJLA8DwIr5WqePKdg0AcG6efhEslTJIJWK4sdNAtz/Azd2GljzAiqawxvBqpY5zc3ktwuXcbB6d/gB39pu4YhE5Om10KiR3Dppo9wZa8zxUwmSfa9rr5uycUN67/QGuVGpIxWNah6xUZq5X6riybY3hHH0My7kkipkEblhK3dXtOs5rrpuzc0OF5Oq2UOp0Lue12Rw4F8r2VblX5ujzctYRebRbF4TLeQ15gOWlsi7Tq5UIxnA2h83DNlrdPq5s1xFjeobzsM91XLX2nk6fC5ZRu25FfFzdrmufN06j72qljtNTGXKdLCkPEOtGnrE6+1mSfOt7DRy2uqjU2lrrULQxh1tWpMK1CNbNSjmH3XoH9XbPnuezGufDyswwekuS7zpttIk1i7y5Vqlr7z1nFM7VSg0z+RSmiQWmgWFE6629Jq5u6+8VJ7EmiXKdMxsYJdauVcTe07mbV8pZNLt97NY79rrRaaMksG/tNXBrr4negGvtlViMWVEzznWjN4arM8LpxTnH1UoduVRcKzJxxWXd6IzhfCGNVFxErPUtwkX3jD03l8P1yvBuPjurSbjM5dGzHHxXK/p6rH1PVerYrLbQ7Pa15DHGJvQR3b23Npu39M0+rlXqSMaZtuMQEOSNbKdOG6dySZRzSVzfEXdzFHtlzaHfXKvUsVLOkUtxSHmAIIuHZyy9jcMxrOOg0cVOvaM9z2fnHLbAdk37bl6bzaNS66Da6tp6rCQYae0bOtmjOG8yyTiWSpkRmy+KdSPX9LXtOuYKKXIpjqMKQzIdU5ydE1E4rW4f63sNXIjA6Gt1B9iqtnFlu44LmkqdPCBu7DRssuCChgEkIo+EArG+20C3z7XkiTbmccNK6buyXdOW50wrurJVQy4V18vrLqaRTcZxvTK8qLTneS6H6zsN9Acc1yuNSC6WnhW5dWWrjrNzOa0IFyexJpW6Cwt6xNq5uTyuVeq4eyiUuijm+c6+UMKiWDdnZobr5qql1K1qeNGmciKl78bukKjTJ4WEh5hzjitbNe3L+cyIElbDSjlHfkLdKe/GbgPXourzXB5Xtmp2yLZun8/N5rFx2EKt3cPV7VoEBpX4/pWtOq5V6mBMLzqjmElirpDG1e26bajpj2EOV7ZrtcMdKAAAFjFJREFUNlGnPYbWvXJlu4ar23UsltLk12YAQWwyJuRdi4B8AMReuVKpo97u4e5hS3sMz83msVvvYKfWjmQM5d18eWvYZx2iLpWIYaWcxeXtGm7uNsB5FOdNDle3HY6BCOYEkH2uoZRJaEUtL01lkYwzXNmu45okHyIwWK5s1W0nWhRj2Oz2sXHQssmHKHQ6517RmZdYjOHMrDgf7uw30ekPIjD68ljfE5FH1yq1SPYyIIiHa9t1pBMxLGnodHOFFPKpOK7vDO+pCxH0+caO0GOv7+iTTGfnhNNrfbeJa9t1rM7kyClFwNBxeGOnPrybNYl36SzdrrVRa/cimeeNAxFNHuW6uV4RDqB4jGlFWxXSCcwV0rhRaeCyReBc1NCLRRtzNlEnbD59ecDQ5luezmo50ZwRa9KJFoXufn2njoNmF9vVtpZtAYh53m90sd/o4Mq2vtP+KMKQTMcUwnCu4fJWzVLq9Ba39MK9sSlk6spbmsoinYjh8paQN51Lail1oo15XN6u4Y0t6bXXN9I6vQEub9ewHoFSJ79/eatqHTh6Sp30Ul3eFmMo/g3dec5jfbeBN7aq6PQHuKB52UulUMxzVVt5mM2nUMwk7HWTSeopdYBl9G05x1BznufyGPChkaYrTxKHr21W8cZmDWuzeS2lTsp8/W4Nb2xVrf/Xn+c7B01c3qqh3ulrr0PZntfuVnF5q6ZNnpYyScwX03j9bhWXt2tIxJh2mtIDSyW8snGINzajGcMHTpfAOfCjjUPLcNaTd3GhgESM4ZWNA1zequH0VFaLqJNtfOXOob1XdOflgaUSduodvLZZxU69o71XHliaAgDRxm19YyCXSuDcXH6kz7oyHzhdwqsbh3jdWjdRyAOAVzYOcSWCPp+bKyCTjNl9niuktOryAWKef+QYQ921/cBSCbV2D6/ereL2flM7os45hpe3ajg3X9C6m1OJGC4tFG15gB7hItt4ebuG1+5W0R/wyNbND6150ZW3PJ1FKZOw5elGuwPAg2Pnje48n5/Lo9vneH1TEJ7a8qzz6o3Nmn3e6ERGMcZwYaGA1zerNlkQhbPh1p4gH1rdQQTyxJhd3hJt1F3X07kUyrkkXt+s4o2tqhXtrqfTnZ/L442tGi5vRnNmy++/vlmNKBpM6B5vWDrdmZkcuS6fxPn5PF7fquJKZLZAAdtWUMFBs6svb35oC7yxVdW+67OpOJamMmKet2qIaTrRZBsvO22BiNbN5S1xPujqiEcRhmQ6pnh0dRqt7gBf+uZNAMDDy1Na8h5eEd//6g82cPewpS0vHmN4eHkKL93cw0s397TlAaLPV7fr+LevbSMRY7j/VElP3so0AOBzf30dA64/hgvFNE6VMvj2zX28vL6Ph5enteQBwGOrU3j55h6+c3MPp0oZzBX0iLpHV6bRG3D87tdvABjOOxUPnp5CPMbwF69u4fpOQ1seYwyPrkzjpZv7eOnmPh5entJS6gCxbu4ctPBnP7wLxoCHNOf5EauPv/fCTbR7AzyyojfP07kUzs7m8PLNfby8vodHItgrj6xM43u39/Ht63so55Ja9QUAMYacA5/7+nVLvl4b7z1VRDoRw19fqeD1zSoe1hxDQKztl9f38fLNfdy/VNJKYQSEkVZt9fCn39sAoL9upNH3f3z3DqrtnvZeySTjuLhQwA/vHOLl9X08uqq/bh5YKuGNrSq+dX0X+VQ8AuNetOmL35D3lN48r5SzKKYTeOnmPn5059A+w7XauFSyxnAPlxYKWt5XQBjO7d4AX/nObQD6e+X+JbFuvvbKJiq1jra8eIzhvlMl/PDOAV5e39c+vwBB/l3bqePfXa4gFY/hnlN66+ZBa91I/Ua3zwvFNOYKKXz/1gG+f+sAj2rKE20s4ZU7B3jp5j5WZ7IoazrRHjw9hf6A48vfWgeg3+f7TpXAGPBXr2/h9n5Te68wxvDA6ZJ93jy8PKVF1AFiDO8ctPCXr24hxsT/6+CxVdHHL7xwA90+157nuUIay9NZvLS+Z+2VCPTYlWl8d30f376xh3lLZ9TBY6tTGHChx0r5Orh/qYhUPIa/en0bl7dqkZwPj65ad/P6Ph5cLmk70R5dncZ2tY3/8/vibtadF7luvvytdTQ6ffv/qShmkri4UMBL6/t4aX1PW3cAgEdXpvDD24d44douipmEdo1IqS/89r+7BkB/DC/OF5BLxfHXVyp4daMaSZ8fWxW2wMvr+7hnsajtRHtsZRqHrR6+8p1bAPTtn0esMfyjl25jv9GNxM49ajAk0zHFk2tlAMAXX7iJuUJKqzAfIJ68vWexgC++IJS6p86WI2njd27u49W7Vbu9uvIAoXg+uDylVUAWEIZuIZ2w+6zbRsYYnlwrCyOy1cNTEfT5iTNlHFqG7pNny9pK3RNWm37vhZsophO4Z7GoJS+biuPB0yXbGIiiz0+ulfHKhlBkn1ybiUQeIPp872JRO2f63Fwes/lUZOsGEPP855YR+UQU8tbKaHUH+MpLt/Hkmv66eXR1GowBX/jGTaQTMdsIpCIZj+GRlSl86ZvrGPCIxnBtGlcrdXz96k5kcwIAn//GDazN5rS99qdKGSxNZWyCN5o+l/FvX9vGrb2m3V4dPLlWRrfP8aVvruPxM2Wt1FdAGI2pRAyf/8YNxGNMmwiLxRgeOzONL7+4jk5/EM1eOVPG7f0m/s1r25Gvm8VSWqueCQDM5FM4N5e3101UfX7h2i7e2KrhiTP6RuQTa4KE/uILN/HwypRWPRMAuOeUMFg+/40bYAx4XLONjDE8fqaMr7x0G/VOP7K9V6l18NUf3MWTEew92cfPf+MGprJJ7WiwfDqBexeL+IJF8D6xFsE8nynju+v7+P7tg8j3yn2nSshrpL4CItq0lEng916QfY7mTPy/vn8X+41uZPdUvdPHH798B0+cmda+mx9fHdoC2WQc957S0+nSiTgeXC7hS98UZGckuvuZMl7frOFb1/ci2StO++f8fF6rRh0gnBfzxbSt00Vyl54p4y9f3cLmYTsyvbjTH+BffecWnlzTv5sfXZlGPMbwxRduIhWPaRMkiXgMj61O4w9evIXegOPpiGzIm7sN/H9vVCKxSZ9wrJvl6azW63cAsFDMYHUmG6ndfNRgSKZjiuXpLB612PbnHjqlfVEBwAceXrJlP6RpRALABx9ZmpCtgyfXypgrCEPvAw+d0pYXjzE8Z8n5qXMzmC3oGZHAaD+fvW9BW957718cyn5IfwznCmn81DlB3Lz/oVPaFxUAfNDq81whFYlC4hzDDzysP88PL0/Zht7zEYwhYwzPW+16dHU6ktcknHvlZx5Y9Pmb4fCee+eRsOY2ij5PZZN416V5AMDfeGBRO/QbAD70yGkAot7AM+f1yUTn/ojivLnvVNEO+Y5q3XzImud7F4vaodoA8CFHP9//oP5eeeelOWQtb+FzEZyx+XQCz94rzsH33DuvHSUEwB7DZJzhnZfmtOU97zhjolg3Z+fydkTG8w8tRXI3yz6fmcnhgSW9aA8A+NCjw34+F8Hafub8LKat19+ej2DdpBNx+xz86Qtz2kYkMBxDAHj3vfp3s/Ocfj6CdbM0lbWN0ecfOqUdwQsAf/NRccYuFNN4bFX/bnbeU1GcD0+cKdvFyJ2yqYjFmC3nqbWy1quvEs52OfUxKp69bxFyaqM4b8r5FN5xUZyD739wUTuCFxjqdFPZJN52Tv9udu6PKPbKA0sl27H+wQjkMcZsOQ+eLtk1HnXwAadO96D+unnnpXlb74rCFsinE3jPvUKne/a+Be0oIWC4nrPJON5+Xv9uduo0UfT5wnwe91qO9SjuKQD44MOnbdmXNGs8HUXEP/OZz7zZbfix4LOf/exnPv7xj7/ZzXhT8fTZMqaySfzSey5GckA8vDyFZDyGX3nvJZzSeB5TYrGUwfJ0Fs8/dArvsAxUHcRjIlJoeTqLj73znHbILQA8fqaMdCKGv/e+S5EoshfnCyhmEvhPf/qsnSqig2wqjkdXp/HQ6Sn8B0+tRmKwPHV2BqVMAr/87MVIjL6HlqeQSsTwyWcvYrmsfznPFdI4O5vHs/ct4NkIlLoYY3j6rFA4P/6u85EoYY+vlpFKiL2iW2sMENFRc8U0/sOnVm3yWAfpRBxPnS3j0mIRP/9Ta4hFsG6ePltGIZ3ALz97SdvjDAhFMZ9O4BffdV77CWJApB3ed6qIt1+YjYwUevuFWcwV0vi7774QCbH2+JlpZJNx/Op7L0VCaq+Uszg9ncHPPbkSSdRfIh7D2y/M4NxcAb/w9rVISOinz80gn0rgV957CcUIXl6571QRpWwSv/iuC5EU2ixmknhkZQpPrZXxNx89HckZ+8z5Wczm0/jEuy9Ecjc/tirWzS8/ewkLERjOS1NZnJnJ4YOPnMbbL8xqy4vHGJ45P4vVmRz+s58+i0RMf688uTaDfFr0WbdmFADcs1DEdC6Jj73jnHa0ByDqeT1xpoyHl6fwc0+uRLJu3nZuBtO5JD75novakdqASIHJpuL4pfdc1H6uGxCe+/PzBbzv/sVIiDrGGN5+fhbL5Sw+9o5odLonzpRFn5+9qJ3CCAjjca6Yxn/8tjORpMNkknE8uTaD+5dK+MjTZyJZN0+fnUEpk8Qnn70Yyd384HIJhXQCv/iuC9ppWYCIxrxnsYh3XprDz0TgDGGM4elzMzhl6XTR3M1l5Kx1E8XdvDaTw0w+hY88vYrHI4iMSiViePJMGefnC/hPnlmLhIR+Yq2MnHU3FzL66+b+pRIyyTg+8e4L2nWtAEFy3rtYxDPnZ/DBR/QdNmLdlDGTS+ET77moHXELiLTDZIzhV993D+aL+nfzWxG//uu/vvGZz3zms26/Y5zzn3R7fiJ46qmn+IsvvvhmN8PAwMDAwMDAwMDAwMDAwMDg2IAx9m3O+VNuvzPpcgYGBgYGBgYGBgYGBgYGBgYG2jAkk4GBgYGBgYGBgYGBgYGBgYGBNgzJZGBgYGBgYGBgYGBgYGBgYGCgjWNbk4kxtg3gxpvdjogwB6DyZjfC4E2BmfuTCzP3Jxdm7k8mzLyfXJi5P7kwc39yYeb+5OK4zP0a59z19a5jSzIdJzDGXvQqqmVwvGHm/uTCzP3JhZn7kwkz7ycXZu5PLszcn1yYuT+5OAlzb9LlDAwMDAwMDAwMDAwMDAwMDAy0YUgmAwMDAwMDAwMDAwMDAwMDAwNtGJLpaOCzb3YDDN40mLk/uTBzf3Jh5v5kwsz7yYWZ+5MLM/cnF2buTy6O/dybmkwGBgYGBgYGBgYGBgYGBgYGBtowkUwGBgYGBgYGBgYGBgYGBgYGBtowJNNbHIyx5xhjrzHGLjPGfu3Nbo+BHhhjq4yxf8MY+xFj7IeMsV+1Pp9hjH2NMfaG9d+y4zufsub/NcbY+x2fP8kY+771u3/KGGNvRp8M1MAYizPGXmKM/an1/2buTwAYY9OMsT9kjL1q7f+3m7k//mCM/efWWf8DxtiXGGMZM+/HE4yxf8kY22KM/cDxWWRzzRhLM8a+bH3+AmPs7E+yfwbe8Jj7f2Sd999jjP0RY2za8Tsz98cEbnPv+N1/xRjjjLE5x2dm7o8JvOaeMfbL1vz+kDH2Pzk+P1Fzb0imtzAYY3EA/xuA5wE8AOA/Yow98Oa2ykATPQD/Jef8fgDPAPikNae/BuAvOOeXAPyF9f+wfvcRAA8CeA7AP7fWBQD8BoCPA7hk/Tz3k+yIARm/CuBHjv83c38y8L8C+DPO+X0AHoVYA2bujzEYY8sAfgXAU5zzhwDEIebVzPvxxO9gcl6inOuPAdjjnF8E8E8A/MMfW08MVPE7mJz7rwF4iHP+CIDXAXwKMHN/DPE7cDmPGWOrAP4GgJuOz8zcHy/8DsbmnjH2HgAfBvAI5/xBAP/Y+vzEzb0hmd7aeBuAy5zzq5zzDoDfh1i4BkcUnPMNzvl3rD9XIQzNZYh5/Zz11z4H4G9Zf/4wgN/nnLc559cAXAbwNsbYEoAS5/zrXBRW+13HdwzeomCMrQD4IIDfdHxs5v6YgzFWAvAuAL8FAJzzDud8H2buTwISALKMsQSAHIA7MPN+LME5/38B7I59HOVcO2X9IYD3moi2twbc5p5z/uec8571v98AsGL92cz9MYLHvgcEKfDfAHAWPzZzf4zgMfefAPA/cs7b1t/Zsj4/cXNvSKa3NpYBrDv+/5b1mcExgBX2+DiAFwAscs43AEFEAViw/prXGli2/jz+ucFbG/8LhNIxcHxm5v744zyAbQC/zUSq5G8yxvIwc3+swTm/DeHFvAlgA8AB5/zPYeb9JCHKuba/Y5EXBwBmf2wtN4gSfwfAV60/m7k/5mCM/SyA25zz7479ysz98cc9AN5ppbf9FWPsaevzEzf3hmR6a8ONrTTPAR4DMMYKAP4VgL/HOT/0+6sun3Gfzw3eomCMfQjAFuf822G/4vKZmfujiQSAJwD8Buf8cQB1WGkzHjBzfwzARP2dDwM4B+A0gDxj7G/7fcXlMzPvxxOUuTbr4AiCMfZpiFIJX5Qfufw1M/fHBIyxHIBPA/hv3X7t8pmZ++OFBIAyREmU/xrAH1jRRydu7g3J9NbGLQCrjv9fgQi1NzjCYIwlIQimL3LOv2J9vGmFTML6rwyv9FoDtzAMvXZ+bvDWxU8D+FnG2HWI1NdnGWNfgJn7k4BbAG5xzl+w/v8PIUgnM/fHG+8DcI1zvs057wL4CoB/D2beTxKinGv7O1b65RTc03QM3iJgjH0UwIcA/LyVCgOYuT/uuADhWPiupe+tAPgOY+wUzNyfBNwC8BUu8E2IzIU5nMC5NyTTWxvfAnCJMXaOMZaCKBj2J29ymww0YLHZvwXgR5zz/9nxqz8B8FHrzx8F8MeOzz9ivTBwDqIg3DetsPsqY+wZS+YvOL5j8BYE5/xTnPMVzvlZiL38l5zzvw0z98cenPO7ANYZY/daH70XwCswc3/ccRPAM4yxnDVf74Wow2fm/eQgyrl2yvo5iDvkyHi1TxoYY88B+PsAfpZz3nD8ysz9MQbn/Puc8wXO+VlL37sF4AlLDzBzf/zxrwE8CwCMsXsApABUcBLnnnNuft7CPwA+APEqxRUAn36z22N+tOfzHRChjt8D8LL18wGIHNu/APCG9d8Zx3c+bc3/awCed3z+FIAfWL/7ZwDYm90/8xN6HbwbwJ9afzZzfwJ+ADwG4EVr7/9riHBqM/fH/AfArwN41ZqzzwNIm3k/nj8AvgRRe6sLYVh+LMq5BpAB8L9DFIz9JoDzb3afzY/v3F+GqKcidb1/Yeb++P24zf3Y768DmDNzf/x+PPZ9CsAXrLn8DoBnT+rcy04YGBgYGBgYGBgYGBgYGBgYGBiQYdLlDAwMDAwMDAwMDAwMDAwMDAy0YUgmAwMDAwMDAwMDAwMDAwMDAwNtGJLJwMDAwMDAwMDAwMDAwMDAwEAbhmQyMDAwMDAwMDAwMDAwMDAwMNCGIZkMDAwMDAwMDAwMDAwMDAwMDLRhSCYDAwMDAwMDAwMDAwMDAwMDA20YksnAwMDAwMDAwMDAwMDAwMDAQBuGZDIwMDAwMDAwMDAwMDAwMDAw0Mb/D/27We6K/USfAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "samplerate = 16000; fs = 50\n", "\n", "t = np.linspace(0., 1., samplerate)\n", "\n", "amplitude = np.iinfo(np.int16).max\n", "\n", "data = amplitude * np.sin(2. * np.pi * fs * t)\n", "\n", "\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data)\n", "IPython.display.Audio(data1, rate=16000)" ] }, { "cell_type": "markdown", "id": "cec7f8f6-3d33-41d5-9436-2fce7c8e0bf3", "metadata": {}, "source": [ "## Hearing test :)" ] }, { "cell_type": "markdown", "id": "fd7b4fca-6027-4352-a482-56ac4c5ae8b4", "metadata": {}, "source": [ "The range of audible frequencies for the average human ear typically spans from approximately 20 Hertz (Hz) to 20,000 Hertz (20 kHz). This range can vary from person to person, and it often decreases with age. Here's a breakdown of the audible frequency range:\n", "\n", " Low Frequencies (Bass): The lowest frequencies humans can typically perceive are around 20 Hz. These low-frequency sounds are often associated with deep bass tones in music and the rumble of thunder.\n", "\n", " Midrange Frequencies: Most of the sounds in our everyday environment fall within the midrange frequencies, which extend from around 100 Hz to 5,000 Hz. This range encompasses speech, music, and a wide variety of everyday sounds.\n", "\n", " High Frequencies (Treble): The upper limit of human hearing, around 20,000 Hz (20 kHz), represents the highest frequencies that most people can perceive. These high frequencies are associated with the shimmer of cymbals, the chirping of birds, and other high-pitched sounds." ] }, { "cell_type": "code", "execution_count": 108, "id": "7a374ead-afd9-4d31-bebb-bc34427fedbf", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import IPython.display as ipd\n", "\n", "samplerate = 16000\n", "duration = 5 # Duration of the audio clip in seconds\n", "\n", "# Create a time vector\n", "t = np.linspace(0., duration, int(samplerate * duration), endpoint=False)\n", "\n", "# Define the frequency sweep parameters\n", "start_freq = 20 # Starting frequency in Hz\n", "end_freq = 20000 # Ending frequency in Hz\n", "\n", "# Generate the frequency sweep signal\n", "data = np.sin(2. * np.pi * np.logspace(np.log10(start_freq), np.log10(end_freq), len(t)) * t)\n", "\n", "# Normalize the signal\n", "amplitude = np.iinfo(np.int16).max\n", "data = amplitude * data / np.max(np.abs(data))\n", "\n", "# Plot the waveform\n", "fig = plt.figure(figsize=(10, 4))\n", "plt.plot(t, data)\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Amplitude')\n", "plt.title('Frequency Sweep')\n", "plt.grid(True)\n", "\n", "# Create an audio clip from the generated signal and display/play it\n", "ipd.display(ipd.Audio(data, rate=samplerate))\n" ] }, { "cell_type": "code", "execution_count": 109, "id": "1c191de1", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 109, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "samplerate = 16000; fs = 60\n", "\n", "t = np.linspace(0., 1., samplerate)\n", "\n", "amplitude = np.iinfo(np.int16).max\n", "\n", "data3 = amplitude/5 * np.sin(2. * np.pi * fs * t)\n", "\n", "\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data3)\n", "IPython.display.Audio(data3, rate=16000)" ] }, { "cell_type": "markdown", "id": "349df951", "metadata": {}, "source": [ "## Add signals" ] }, { "cell_type": "code", "execution_count": 126, "id": "eeb35721-170d-4600-b5bd-5e1f3b288a6b", "metadata": {}, "outputs": [], "source": [ "samplerate = 16000\n", "fs1, fs2 = 50, 200\n", "\n", "t = np.linspace(0., 1., samplerate)\n", "\n", "amplitude = np.iinfo(np.int16).max\n", "\n", "data1 = amplitude * np.sin(2. * np.pi * fs1 * t)\n", "data2 = amplitude * np.sin(2. * np.pi * fs2 * t)" ] }, { "cell_type": "code", "execution_count": 127, "id": "e59ab313-6adb-495c-8dc2-96dd9da7c024", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 127, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data1[:1000])\n", "IPython.display.Audio(data1, rate=16000)" ] }, { "cell_type": "code", "execution_count": 128, "id": "53373326-b787-44c7-9949-0352cf987c71", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 128, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data2[:1000])\n", "IPython.display.Audio(data2, rate=16000)" ] }, { "cell_type": "code", "execution_count": 129, "id": "20fe62d8", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 129, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(20, 2))\n", "data = (data1+data2)/2\n", "plt.plot(data[:1000])\n", "IPython.display.Audio(data, rate=16000)" ] }, { "cell_type": "markdown", "id": "05c128e6-5afd-4426-aea1-6b1000b344bf", "metadata": {}, "source": [ "### More details" ] }, { "cell_type": "code", "execution_count": 137, "id": "bb004824-6f20-47ea-988b-f7eef5df1b1a", "metadata": {}, "outputs": [ { "data": { "image/png": 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aYyKB54F0oAy4xrKsI95rvg/cAQwA37Is6x3v+XzgMSAAeBP4tmVZljHGz/s98oFG4FrLsspONXYZWSzLYld1Ky9vr+a1HTU0tPUQ7OfgnHFxXDBR657FNxLDA7htXga3zcvgUFsPb++q5ZXtNUdnOE1LDeeSyYlcOCmRmBAVDRcRETldOnv7WVlUz8sfV7P6wGEG3Ba5ccHctySXCybGkxMX4usQZZSx2wyzM6OYnRnFv100jo8rm3ltRw2v76zl7d11hPg5OG9CPJdMTmRuVpSKhsuwMBgzmfqB+y3L+sgYEwJsM8asBG4F3rcs6+fGmO8B3wO+a4wZB1wHjAcSgfeMMbmWZQ0Ay4C7gI14kkxLgbfwJKSOWJaVbYy5DvgFcO0gxC4jQEVjJ69sr+bP26spOdSB024oGBPLZVOSWJKn7L8MHTEhftw0J52b5qRTdaST13bU8sr2an78WhH//noR87KjuXRKEudPiNe6fBERkUHQP+BmXXEjL39czTu76+jsHSAxzJ+/W5DJZVMTtYRdhgybzZCfFkF+WgQ/vDCPDSWNvLq9hrd31fHStiqig11cNCmRy6YmMTk5TDPtZMg65XcxlmXVArXe223GmD1AEnApUOB92ONAIfBd7/nnLMvqAUqNMQeBmcaYMiDUsqwNAMaYJ4DL8CSZLgV+7P1aLwH/Z4wxlmVZpxq/DE+t3X28vqOWP35UxbbyIwDMTI/kjvkZXDgxgfBA7fQhQ1tyRCD3FmRxb0EW++vbeHV7Da/sqOafXtzBv72yiwsmJnB1fjIzMyLViRAREfkb7a1r5YUtVby6o5rD7b2E+ju4dEoil05JYmZ6JDab/rfK0OWw21iQE8OCnBj+47IJFO5r4NUdNTyzuYLH1peRExvMVfnJXD4tidgQbVokQ8ugDpUbY9KBqcAmIM6bgMKyrFpjTKz3YUl4Zip9qsp7rs97+/PnP72m0vu1+o0xLUAUcHgw45ehze222FTaxItbK3lzVy3dfW5yYoP5ztIxXDI5keQI1baR4Sk3LoR/Om8M95+by7byI7y4tYrXd9bw0rYqUiMDuSo/mSvzk0kKD/B1qCIiIkNWS1cfr+6o4cWtleysasFpNywZG8dlU5NYPDZGu8LJsOTvtLN0QgJLJyTQ2t3HGztreXFrJf/11l5++c4+CnJjuCo/mSV5cbgcWk4nvjdoSSZjTDDwR+A+y7Jav2Tk/Xh3WF9y/suu+XwMd+FZbkdcXByFhYUniHp4aG9vHzE/y1fR1O1mbXU/a6r6OdRlEeCA2QkOFia5yAhzY6ji4I4qDvo60BFuSnMzANuH8GtxpLSV86PhrIV+bK3vZ211N79ZuZ//t3I/46JszE9ykh9nx2U/PSOww+F5lsExUtqLyOmmtjK0uS2LvU1uVlf1sa1+gD43pITYuHGsi9mJDkJcbXB4LxvW7vV1qCPeUG8rI6WPkwB8axzUpgawtrqfdaWHeH9vA8FOmJPoYH6Sg7RQJVSHuqHeXk7FoCSZjDFOPAmmpy3L+pP3dL0xJsE7iykBaPCerwJSjrk8Gajxnk8+zvljr6kyxjiAMKDp83FYlvUQ8BDA9OnTrYKCgkH46XyvsLCQkfKznKye/gHeK2rgha2VrD5wCMuCOZlR/MuMZJaOTyDApT+cZ1x4OMCQfi2OtLZynvdY2dTJHz+q4qVtVTy4s4sQPwcXT0nk+hmpTEwOG9xvOgyeZxkcI629iJwuaitDU9WRTl7aVsWLW6uobu4m1N/B9bPSuGZ6CuMTQ7XU3AeGfFsZgX2c6/Hsqr3mwCFe3FbFyt31rCzvJi8hlGumJ3PF1GTCAp2+DlOOY8i3l1MwGLvLGeARYI9lWb855q5XgVuAn3uPrxxz/hljzG/wFP7OATZbljVgjGkzxszGs9zuZuB/P/e1NgBXAR+oHtPIVHyonWc2VfDHj6po7uwjIcyfby7O5qr8FFKjtBxORqeUyEDuOzuXb52Vw8bSRl7aVsWfPqrimU0VTEoO48ZZqVw8OZFAl4qFi4jIyNU34Ob9PfU8vamCtQc9VTPmZ0fz3fPHcu64OG32IqOS3ebZ9KhgTCzNnb28tqOGF7dV8ZPXivjF23u5aFIiN85KZUpKuJKvckYMxjuSecBNwCfGmO3ec/+CJ7n0gjHmDqACuBrAsqzdxpgXgCI8O9N9w7uzHMC9wGNAAJ6C3295zz8CPOktEt6EZ3c6GSH6BtysLKrnqY3lrC9uxGk3nDsunmtnpDAvOxq7CjOKAJ5dR+ZmRTM3K5ofXTyelz+u5plNFXz3j5/wn6/v4fJpSdwwK1U75YiIyIhS29LFs5sreW5zBQ1tPSSG+fPtJTlclZ+smpwixwgPdB3dyXhXdQvPbK7glY+reWlbFXkJodw4K5XLpiYRrF2M5TQajN3l1nL8mkkAS77gmp8CPz3O+a3AhOOc78abpJKRo6a5i2c3V/DclkoOtfWQFB7AP583hmumpxAT4ufr8ESGtLAAJ7fMTefmOWlsKz/CM5s8bemJDeXkp0Vww8xULpyUoFFdEREZltxuizUHD/PUxnLe31OPBRTkxvCzWWksHhurQUiRE5iQFMbPLp/Iv1yQxyvbq3l6YwU/fHkXP3tzD5dOSeLGWalMSBrksgsiDPLuciIn4nZbrD5wiKc2VvDB3r90GL42O42CMeowiPytjDFMT49kenok/3rROP7oXUZ3/4s7+PfXi7hyWjJfm51KZkywr0MVERE5ocb2Hl7c5vlfVtHUSVSQi7sXZXHDzFRSIjVrSeRvFezn4MZZadwwM5UdVS08vbGcP39cxbObK5icHMaNs9K4ZEqiBiZl0CjJJGdES2cfz22p4GlvhyE62MU9i7K4Xh0GkUETEeTizgWZ3DE/g40lTTy9qZwnN5bx6LpSFuXGcOu8dBblxGBTMldERIaYjyuO8Pj6Mt78pI7eATczMyL5p/PGcN74OPwcevMrcqqMMUxJCWdKSjg/vGgcf/6oiqc3VfCdP+7kZ2/t4boZqdw0J42k8ABfhyrDnJJMclodqG9jxfoy/vxRNV19A0c7DEvHx+Ny2HwdnsiIZIxhTlYUc7KiaGjr5tlNlTy9qZzbVmwhIzqIm2ancdX0ZEL9tduIiIj4Tt+Amzc/qWXFujK2VzYT7Ofg+pkp3Dg7jdy4EF+HJzJihQU4uXVeBrfMTWdjSROPry/jodXFPLS6mHPHxXPL3HRmZ0aqULh8JUoyyaBzuy0K9zewYl0Zaw4cxuWwcdmURG6dm8G4RBUkFjmTYkP8+fbZOdxbkMVbu2p5fH0Z//56Eb9+dx9X5idz85x0smO1lE5ERM6cxvYent1cwZMby6lv7SEjOogfXzyOq6anqCCxyBl07MBk1ZFOntpYwXNbKnh7dx1j40O4ZW46l01JIsCl2YRy8vRXXAZNe08/L22t5PEN5ZQe7iAu1I9/OjeX62emEhWsQt4ivuRy2Lh0ShKXTkliZ1Uzj60v47nNnkLhC3KiuXVuOovHxKL5hSIicrrsqW1lxbpSXt5eQ2+/mwU50fz8ikksytVSbhFfS44I5Hvnj+W+s3N4ZXs1j60v5/t/+oSfv7WXa2ekcNPsNJU5kZOiJJOcsvLGDh5fX86LWytp6+lnamo4v71uChdMTMBp11tWkaFmUnI4v7lmCv9yQR7PbqrgqU3l3PH4VjKig3i2tZuYED80XiUiIoNhwG2xsqieFetK2VTaRIDTztX5ydw6N50cLYkTGXL8nXaunZHKNdNT2FJ2hMfWl/LI2lL+sKaEpRPiuWN+JvlpEb4OU4YwJZnkK7Esiw3FjTy6rpT39zZgN4YLJyVw27wMpqSE+zo8ETkJ0cF+fHNJDvcUZPHWrjoeWVNC2eEOqo50UfjOPm6ek0ZsqL+vwxQRkWGotbuP5zdX8viGMqqOdJEUHsD3zx/LdTNSCQtUTUCRoc4Yw8yMSGZmRFLT3MWTG8t5emM5b35Sx7TUcO5ckMl54+O1O7j8FSWZ5G/yaYHGh1aXsLumlaggF3+/OJuvzU4jTm9GRYYlp93GJZMTuXhSAm1PhVHb0sXvCw/y0OoSLpmSyB3zM8hLUD01ERE5sZrmLlasK+XZzZW09/QzMz2SH1yQxznj4nBohrvIsJQYHsB3l47l7xdn8+LWSh5dV8bXn/6IlMgAbp+XwdWqpybH0CtBTkp7Tz/Pba5gxboyqpu7yIoJ4udXTOSyqUn4O7WwRmQkMMYQ6u8g1D+ED+8vYMW6Ul7YWsVL26pYkBPNnQsyWZgTrZ1GRETkrxTVtPLwmhJe21GDBVw4MYG7FmYyISnM16GJyCAJ8nNw67wMbpqTzsqiOv6wppSfvFbEb1bu54ZZqdw6N52EsABfhyk+piSTfKn61m5WrCvj6U3ltHX3MzMjkp9cMp6zxsaqQKPICJYeHcRPLp3AP5yTy9ObKnh8fRm3PLqZ3Lhg7pyfySVTEpVgFhEZ5SzLYs2Bwzy8poQ1Bw4T6LJz85x0bp+fTnKECgSLjFR2m2HphASWTkjg44oj/GFtKQ+vLuGRNaVcNCmBOxcowTyaKckkx7Wvro2H15TwyvZqBtwW509I4M4FGUxNVZE3kdEkPNDFNxZn83cLMnltRw0PrynhO3/cyS/f2cstc9K5aU4a4YEuX4cpIiJnUN+Am9d21PDQ6hL21rURG+LHd5aO4caZaaq3JDLKTE2N4Pc3RFDZ1MmKdWU8v6WCl7fXMDszkrsXZlEwJkaz4EcZJZnkKMuy2FDSyEOrSyjcd4gAp50bZqZy+/wM0qKCfB2eiPiQy2HjyvxkrpiWxPriRh5eU8KvV+5n2apirpuRyp0LMkgM1/RoEZGRrK27j2e95RNqW7rJiQ3ml1dN4tIpifg5NLtVZDRLiQzk3y4ex33n5Bwts3LbY1sYGx/C3YsyuWhSonYeHyWUZBL6B9y8uauOh1YXs6u6lehgF/efk8vXZqcREaQZCiLyF8YY5mVHMy87mr11rTy4qoTHN5TxxIYyLpmSyD2LssjVltQiIiNKbUsXK9aV8eymCtp6+pmTGcXPrphIQa5mKIjIZ4X6O7lrYRa3zs3g1R01PLiqmH94fge/emc/dy7I4NoZKQS6lIYYyfTsjmJdvQO8sLWSh1aXUN3cRWZMEP91xUQuVzFvETkJY+ND+X/XTuH+c3P5w5pSnt9SyZ8+qmbJ2FjuKchiRnqkr0MUEZFTcLChjWWFnvIJFnDBxATuWpDJxGTVWhGRL+dy2LgqP5krpibxwd4Glq8q5ievFfG79w9w85x0bpmbTqQmNIxISjKNQi1dfTy1sZxH15bS2NFLfloEP75kPEtUzFtEvoLkiEB+fMl4vr0kh8c3lPH4+jKuXr6B/LQI7lmUpb8tIiLDzI7KZh4oPMi7RfX4O+x8bXYad8zPICVSxbxF5G9jsxnOHhfH2ePi2FrWxPJVxfz2/QM8tLqEa2ekcOeCDG0UMMIoyTSKNLR18+jaMp7aWE57Tz8FY2L4ekE2MzM020BETl1EkIv7zs7lroWZvLClkofXlPJ3T2wlJzaYuxZmcumUJFwOrcUXERmKLMti3cFGlq06yLqDjYT6O/jm4mxunZeh2QYiMiimp0fyh/RI9te38eCqEp7aWM6TG8u5eFICdy/KIi8h1NchyiBQkmkUqGzq5MHVxbywtYr+ATcXTEzg3oIsxidqqrOIDL5Al4Nb52Vw4+w03thZy/JVxfzzSzv5zcr93DE/g+tmphLsp38/IiJDgdtt8W5RHcsKi9lR1UJsiB//csFYbpiVpr/VInJa5MaF8OtrJnP/ubk8sraUZzd7dqQrGBPDvYuymJkRqXpvw5j+c4xg++raWFZ4kNd21mI3hivzk7hrYRYZ0dopTkROP6fdxmVTk7h0SiKF+w+xvLCY/3xjD797/wC3zE3n1rnpRAX7+TpMEZFRqW/AzcsfV7N8VTHFhzpIiwrkZ5dP5Mr8JO0UJyJnRGJ4AP960Ti+eVY2T24o57H1ZVz70Eampobz9YJslVwYppRkGoG2lR9hWeFB3tvTQKDLzu3z0rljfibxYf6+Dk1ERiFjDIvHxLJ4TCwfVxxh+api/veDgzy8poTrZqRqLb6IyBnU1TvAc1sqeI5DqusAAB9lSURBVHh1CTUt3eQlhPK/10/lgokJ2PVmTkR8IDzQxTeX5HDngkxe3ObZmOrvnthKblww9yzK4uLJiTjtKrkwXCjJNEJYlsWaA4f5/YcH2VTaRHigk/vOzuGWOelEaB29iAwRU1MjePCm6RxsaGO5dy3+UxvLuWRKIvcsyiI3LsTXIYqIjEgtnX08saGMFevLaOroZUZ6BD+9fCIFY2K0LEVEhoQAl52b56Rzw8xUXt9Zy7LCYv7xhR38+t393LUwk2umpxDg0kzLoU5JpmFuwG3x9q46lq06yK7qVuJD/fnhhXlcPzOVIK2jF5EhKjs2hF9dPZl/PCeXP6zxrMX/00fVnJ0Xx70FWeSnRfg6RBGREaGhtZtH1pby9KYK2nv6OWtsLPcWZDEjXRu/iMjQ5PCWXLhkciIf7mvggcJifvTqbn77/gFum5vOzXPSCQt0+jpM+QLKQgxTvf1/WUdfcriDjOggfnHlRC6bqnX0IjJ8JIYH8G8Xj+Pvz8rm8fVlPL6hjCuX1TMrI5J7C7JYlKsRdhGRr6K8sYMHV5fw0jbPxi8XTUrk3gLt3iQiw4fNZliSF8eSvDg2lzaxrPAgv165n+Wrirlxdhp3zM8gLlQlYYaaYZVkMsYsBX4L2IE/WJb1cx+HdMZ19vbz7OZK/rCmhNqWbsYnhvL7G6axdEK81tGLyLAVGeTiH87J5a6FmTy3xfM37tYVW8hLCOXegiwumBCPQ2vxRUROaE9tK8sKi3l9Zw0Om42rpidz98JM0qK08YuIDF8zMyKZmTGToppWlq8q5g9rSnhsXRlX5idx98Is0rW51ZAxbJJMxhg78HvgHKAK2GKMedWyrCLfRnZmNHf28vj6ch5bX8qRzj5mZUTy8ysnsTAnWqP8IjJiBPk5uGN+BjfNTuPl7Z7Zmt969mN+HRXIXQszuXJaMv5OzdYUEfm8rWVNPFBYzAd7Gwhy2fm7BZncMT+DWI3yi8gIMi4xlN9dP5X7z83lodUlvLitiue3VHL+xATuXZTFhKQwX4c46g2bJBMwEzhoWVYJgDHmOeBSYEQnmepbu3lubw/f+OADOnoHODsvlnsLslWvRERGNJfDxjXTU7hqWjLvFtWzrPAgP/jzLv7nvQPcMT+DG2elEuKvtfgiMrpZlsWq/Yd44MNiNpc1ERnk4v5zclWvRERGvLSoIH56+US+vSSHR9eV8dTGct7YWcvC3Bi+XpDFrIxITcbwEWNZlq9jOCnGmKuApZZl3en9/CZglmVZf3/MY+4C7gKIi4vLf+6553wS62B65JMe1lX3MSvBwQWZLlJCtFxEfGPKffcBsP1//sfHkXyx9vZ2goODfR3GsDZUn2fLstjT5OaNkl52N7oJcMCSVCfnpDkJ81MH4qtQexE5OUOxrbgti631A7xR0kd5q5tIf8PSdCeLkh34OfQ3UXxjKLaVYw3VPo4Mjo4+iw8r+ni3vI/WXsgKs3FRlpPJMXZsQzDZNNTby4ksXrx4m2VZ049333BKMl0NnPe5JNNMy7K+ebzHT58+3dq6deuZDPG0qG7uYt36DVxzwVm+DkVGu4ICz7Gw0JdRfKnCwkIKPo1Tvpph8DzvrGpm+api3tpVh8vumfF018JMUiIDfR3asKL2InJyhlJb+fzGL5nRQdxTkMVlU5JwOTQQKb41lNrKcQ2DPo6cuu6+AV7cWsmDq0uoOtJFblww9yzK4uLJiTiHUH3PId9eTsAY84VJpuG0XK4KSDnm82SgxkexnDFJ4QHEBg6dxiAi4muTksN54MZ8Sg618+CqEp7bUsEzmyu4aFIC9xZkMTZeOyeJyMjS2dvPc5srefiYjV8euHEa543Xxi8iIsfyd9q5aU46189M5fWdtSwrLOYfX9jBr9/dz10LM7lmegoBLtX3PJ2GU5JpC5BjjMkAqoHrgBt8G5KIiPhKZkwwv7hqEv9wTi6PrC3h6U0VvLK9hrPGxnJvQRYz0iN9HaKIyClp6ezj8Q1lrFjn2fhlpjZ+ERE5KQ67jcumJnHJ5EQ+3NfAA4XF/OjV3fzu/QPcNi+dm2ardt3pMmySTJZl9Rtj/h54B7ADj1qWtdvHYYmIiI/Fh/nzgwvH8Y3F2TyxoZwV60q5evkGpqdF8PXFWSweE6s3YyIyrDS0dfPI2lKe2lBOR+8AS8bG8vXFWeSnKXkuIvK3sNkMS/LiWJIXx+bSJpYVHuRX7+5n+aoSbpyVql04T4Nhk2QCsCzrTeBNX8chIiJDT3igi28tyeHOBRm8sKWSh9eUcvtjWxkbH8I9i7K4aFICjiG0Fl9E5PMqGjt5cHUxL26ron/AzUWTErm3IIu8BC0DFhE5VTMzIpmZMZOimlaWryrm4TUlrFhXxpX5ydy9MJP06CBfhzgiDKskk4iIyIkEuhzcOi+DG2en8er2GpavKua+57fzq3f3cffCTK6enoK/U2vxRWTo2FfXxrLCg7y2sxa7MXrDIyJyGo1LDOV310/l/nNzeWh1CS9uq+L5LRVcMDGBexZlMSEpzNchDmtKMomIyIjktNu4Mj+Zy6cm8f7eBh4oPMi/vrKb/3nvALfPz+Brs9MIC9BafBHxnY8qjvDAh8W8t6eeQJed2+elc+eCTOK0dENE5LRLiwrip5dP5NtLcnh0XRlPbSzn9Z21LMqN4d6CLGZlRKrkwlegJJOIiIxoNpvhnHFxnJ0Xy6bSJpYVFvPf7+xjWWExN85O5Y55WosvImeOZVmsPXiYBz4sZkNJI2EBTu47O4db5qQTEeTydXgiIqNObKg/3zt/LPcWZPHURk99z+se2si01HDuLchmydhYbNrJ86QpySQiIqOCMYbZmVHMzoxid00Ly1eV8PDqElas1Vp8ETn9BtwW7+yuY/mqYnZWtRAb4scPL8zj+pmpBPmpSy4i4mthAU6+sTibO+Zn8OLWSh5cXcLfPbGV3Lhg7lmUxcWTE3GqvucJ6T+aiIiMOuMTw/jf66dy/zm5PLSmhJe2ai2+iJwe3X0DvLStiofXlFDe2ElaVCD/dcVErpiWhJ9D9eFERIYaf6edm+akc/3MVF7fWcuywmL+8YUd/Prd/dy1MJNrpqcQ4NLf7y+iJJOIiIxa6dFB/Ozyidy3JIdH1pXy9MYKrcUXkUHR3NnLkxvKeWx9GY0dvUxODuN7N07j3PHx2LXsQkRkyHPYbVw2NYlLpyTywd4GHigs5kev7uZ37x/gtnnp3DQ7nbBA1ff8PCWZRERk1IsN9ef75+fx9YLsz6zFn5oazr2Lsjg7L05r8UXkpFQ2dfLI2lKe31JJV98Ai8fEcPciJa1FRIYrYwxL8uJYkhfHlrImHvjwIL96dz/LV5Vw46xU7piv+p7HUpJJRETE63hr8e96chs5sZ61+JdM0Vp8ETm+3TUtPLS6hNd31mKAS6YkctfCTMbGh/o6NBERGSQz0iNZcdtMimpaWb6qmIfXlLBinep7HktJJhERkc85di3+G5941uLf/+IOfrNyP3cuyOC6Galaiy8iWJbF+uJGlq8qZs2BwwS57Nw+L53b5mWQGB7g6/BEROQ0GZcYyu+un8o/nTuGB1cX8+I21ff8lJJMIiIiX8Bht3HplCQumZzIh/saWFZYzE9eK+J/PzjIrXPTuXlOGuGB2nJcZLTpH3Dz5q46HlpdzK7qVmJC/PjO0jHcOCuNsADV5xARGS1SowL56eUT+fbZOTy6toynNpaP+vqeSjKJiIicgDGGs8bGcdZYz1r8ZYXF/GblfpavKuaGmancuSCT+DCtxRcZ6Vq6+nhhSyWPrS+jurmLzJggfnHlRC6bqp3iRERGs9gQf753/ljuLcj6TH3Pyclh3Lkgk/MnxOMYJSUXlGQSERH5G8xIj2TGrZHsqW3lwVXFrFhfxmPry7hwUgK3zctgSkq4r0MUkUFW3tjBinVlvLi1ko7eAWZlRPKji8dpUwAREfmMz9T33FbFo2tL+eazH5MUHsBt89K5dkYKIf4je8arkkwiIiJfQV5CKP9z3VTuP3cMj60v4/ktlbyyvYb8tAhun5fBeePjRs2IlchIZFkWm0qb+O1H3Wx/pxCHzXDxpERun58xqmttiIjIifk77dw0O40bZ6by/t4GHl5Twn++sYemjl6+s3Ssr8M7rZRkEhEROQUpkYH860XjuO/sHF7aVsVj68v4xjMfkRjmz81z07l+RiphgSN7xEpkJOntd/P6zhoeWVvK7ppWgp3wjYJsbp6Tpi2qRUTkb2KzGc4ZF8c54+LYWdU8KsorKMkkIiIyCEL8ndw2L4Ob56Tzwd4GHl1bys/f2stv3zvAlflJ3Do3g+zYYF+HKSJfoKmjl6c3lvPExnIOtfWQExvMf10xkai2Ys5dMsbX4YmIyDA3KXl0lFRQkklERGQQ2Y8ZsdpT28qKdaW8sLWKpzZWUDAmhtvnZbAgJ3rU7TQiMlTtrmnhyQ3l/Pnjanr63SzMjeFXV2ew0NtOCwtLfB2iiIjIsKEkk4iIyGmSlxDKL6+azHeWjuWZTRU8ubGcmx/dTHZsMDfNTuPyaUmEjvDijyJDUW+/m7d21fLEhnK2lR/B32njimlJ3D4vg5y4EF+HJyIiMmwpySQiInKaRQf78a0lOdy9KJM3dtby+IZyfvTqbn7x9l4um5rETbPTyEsI9XWYIiNeTXMXz2yq4LktFRxu7yU9KpAfXpjH1fkpqp0mIiIyCJRkEhEROUP8HHaumJbMFdOS2VnVzFMby/njtiqe2VTB9LQIbpqTxtIJ8fg57L4OVWTEsCyLDcWNPLGhnJV76nFbFkvGxnLTnHQWZEdjs2npqoiIyGBRkklERMQHJiWH88urwvmXC/J4aVsVT20s59vPbScqyMW1M1K4YVYqyRGBvg5TZNhq6ezj5e3VPLmxnIMN7UQEOrlzQQZfm5VGSqTaloiIyOmgJJOIiIgPhQe6uHNBJrfPy2Bd8WGe3FDO8lXFLF9VzOIxsVw/M5WCMTE47DZfhyoy5FmWxebSJp7fUskbn9TS0+9mcnIYv7p6MhdNSsDfqVmCIiIip9MpJZmMMf8NXAz0AsXAbZZlNXvv+z5wBzAAfMuyrHe85/OBx4AA4E3g25ZlWcYYP+AJIB9oBK61LKvMe80twA+93/Y/Lct6/FTiFhERGWpsNsOCnBgW5MRQ09zFs5sreHZzJe/v3UpsiB9X5idzzfQUMqKDfB2qyJDT2N7DHz+q4rktlZQc6iDEz8HV05O5bkYqE5LCfB2eiIjIqHGqM5lWAt+3LKvfGPML4PvAd40x44DrgPFAIvCeMSbXsqwBYBlwF7ART5JpKfAWnoTUEcuyso0x1wG/AK41xkQCPwKmAxawzRjzqmVZR04xdhERkSEpMTyA+88dw7eW5PDh3gZe2FrJg6uKWVZYzKyMSK6bmcL5EzQrQ0Y3t9tiXfFhnttcybtFdfQNWOSnRfDfV2Vx4aQEAl2asC8iInKmndJ/X8uy3j3m043AVd7blwLPWZbVA5QaYw4CM40xZUCoZVkbAIwxTwCX4UkyXQr82Hv9S8D/GWMMcB6w0rKsJu81K/Ekpp49ldhFRESGOqfdxrnj4zl3fDz1rd28tK2KF7ZW8g/P7+DfXtnNpVMSNVNDRp3q5i7+tK2K57dWUnWki/BAJzfNTue6mSnkxoX4OjwREZFRbTCHeG4HnvfeTsKTdPpUlfdcn/f2589/ek0lgHdmVAsQdez541wjIiIyKsSF+vONxdncuyiLTaVNPL+lghe3VvHUxgrGJYRyZX4yl0xOJCbEz9ehigy69p5+3vqklj99VM2GkkYA5mRG8c/njeG88fGa1SciIjJEnDDJZIx5D4g/zl0/sCzrFe9jfgD0A09/etlxHm99yfmves3nY70Lz1I84uLiKCwsPN7Dhp329vYR87PI8DWluRmA7UP4tai2cuqGw/MsHpfFwzlR/myo6WdNdTv/8XoRP32jiAlRduYmOpgaZ8fP/sVbs6u9yFDntiz2NLpZW9PHtvoBegcgNtBwebaTuYkOYgK7ofkAG9cdOK1xqK2InJyh3lbUx5GhZKi3l1NxwiSTZVlnf9n93qLcFwFLLMv6NPlTBaQc87BkoMZ7Pvk454+9psoY4wDCgCbv+YLPXVP4BbE+BDwEMH36dKugoOB4Dxt2CgsLGSk/iwxj4eEAQ/q1qLYyCIbB8yyfdaH3eKC+jT99XM0rH1ezfGc3wX4Olk6I54qpSczOjMJm+2zCSe1FhiLLsthb18arO2p4+eNqalu6CfF3cGV+KldOSyI/LQJPNYUzR21F5OQM+baiPo4MIUO+vZyCU91dbinwXWCRZVmdx9z1KvCMMeY3eAp/5wCbLcsaMMa0GWNmA5uAm4H/PeaaW4ANeGo7feDdde4d4GfGmAjv487FU2BcREREvHLiQvju0rH887lj2FjayJ8/quatXXW8tK2KhDB/Lp6cyIUTE5iUHHbG36SLnEjJoXZe31nLqztqONjQjt1mWJgTzQ8uzOPsvDgthxMRERkmTrUm0/8BfsBKb4d1o2VZ91iWtdsY8wJQhGcZ3Te8O8sB3As8BgTgKfj9lvf8I8CT3iLhTXh2p8OyrCZjzH8AW7yP+/dPi4CLiIjIZ9lshrlZ0czNiubfL53Ayj31vPxxNSvWlfLQ6hJSIgO4cGIi8b0DWJalhJP4TNWRTt7YWctrO2vYVd0KwMyMSP7jsgmcPyGe6GDVFxMRERluTnV3uewvue+nwE+Pc34rMOE457uBq7/gaz0KPPrVIxURERl9Alx2LpmcyCWTE2np7OOdojre2FnLH9aU0O+2eGx/IRdOSuDCiYnkJYQo4SSnXWVTJ+/sruOtXXVsKz8CwOTkMH54YR4XTkogISzAxxGKiIjIqRjM3eVERERkiAoLdHLN9BSumZ7CkY5efvenVRzsDWT5qhJ+/2Ex6VGBnDMujnPGxZOfFoHdpoSTnDrLsthX38Y7u+p5Z3cdRbWeGUtj40P45/PGcNGkBNKignwcpYiIiAwWJZlERERGmYggF4tSnPyoYBaN7T28s9uTAHh8fTkPryklKsjFWWNjOXd8PPOzowlwqR6OnDy32+Ljymbe3V3H27vrKG/sxBjIT43gBxfkce74OCWWRERERiglmUREREaxqGA/bpiVyg2zUmnr7mPV/kOsLKrn7d11vLitCn+njQU5MZydF8ui3Fjiw/x9HbIMQUc6ell94BCr9h1i1f5DNHb04rQb5mRFc9fCTM4ZF0dsiF47IiIiI52STCIiIgJAiL+TiyYlctGkRPoG3GwqaWJlUR0ri+pZWVQPwJi4EBaNiWFRbgzT0yPwc2iW02jkdlsU1bby4d4GCvcf4uOKI7gtiAxysSg3hoIxMSweG0uov9PXoYqIiMgZpCSTiIiI/BWn3cb8nGjm50Tz40vGs7++nVX7G1i1/xCPrSvjodUlBDjtzMmKYlFuDAtyosmIDlLx8BGs6kgnG4ob2VDcyJqDhznU1gN4Cnd/86wcCsbEMCk5XPW8RERERjElmURERORLGWMYEx/CmPgQ7lqYRWdvPxtLGo8ujfpgbwMAsSF+zM6MYnZmFLMyI8lU0mlYa2jrPppUWl/cSEVTJwBRQS7mZkdTkBvDwtwYYkL8fBypiIiIDBVKMomIiMjfJNDl4KyxcZw1Ng6A8sYO1h1sZGOJ5+PVHTUAxHiTTrMyIpmdGUlmdDA2zXIZkizLoqKpk23lR/io4gibSpo40NAOQIi/g9mZUdw2L525WdHkxgUreSgiIiLHpSSTiIiInJK0qCDSooK4YVYqlmVR1th5NOG0saSR17xJpxB/B1NSwpmaEs7U1Agmp4QTGeTycfSjU3ffAJ9Ut3iSSt7E0uH2XgCC/RxMTQ3nyvxk5mZFMT4xTEvgRERE5KQoySQiIiKDxhhDRnQQGdFBXD/Tk3Qqb+xkc1kT2yub+biimf/78CBuy/P4tKhApqaEMzklnHEJoYxNCCUsQMWiB1NX7wB76lrZXdNKUU0Lu2ta2VPbSt+A50lIjwpkYW4M+WkRTEuNIDcuREklERER+UqUZBIREZHTxhhDenQQ6dFBXDM9BYCOnn4+qW5he2Uz2yua2VDSyMvba45ekxQeQF5CCHkJoeQlhDI2PoS0qCAlPk7AsizqWrs52NDOnlpPUml3TSslh9qPJvXCApyMTwzljvmZ5KdFMDU1nOhg1VQSERGRwaEkk4iIiJxRQX6OowXCP1Xf2k1RrWeGzd7aNvbUtvLhvkMMeLMj/k4bGdHBZHpnSaV7j5nRQUSMsiV3Pf0DlDd2crChneKGdooPtVN8qIOSQ+109A4cfVximD/jEsO4YGIC4xNDGZ8YSlJ4gOopiYiIyGmjJJOIiIj4XFyoP3Gh/iweE3v0XHffAAcb2imqbWVfXRulhzsoqm3l7d11R5NPAOGBTtKjgkiKCCAxzJ/4sE+P/iSGBxAd7DdsZkFZlkV7Tz81zd1UN3dSfaSLquYuqo90UdPcRXVzFw1tPVh/+fFJCg8gKzaYa9JTyIoJJjMmiLHxoap3JSIiImeckkwiIiIyJPk77UxICmNCUthnzvcNuKls6qT0cMdnPopqWnmvqJ6efvdnHu+wGeJC/YkOdhER5CIyyEVk4F9uh/o7CfKzE+LvIMjPQZDLQbCfgwCXHafd9jcnqAbcFr39brr7Bujpd9PZ209bdz+t3X2eY5fn2NzVS2N7L4fbezjU3ktjew+H23vo7vts/C67jYRwf5LCA1iYE0NSRAAZ0UFHE0qBLnXnREREZGhQr0RERESGFafdRmZMMJkxwX91n2VZNHf2UdvSTW1L11+Ozd00dvTS1NHLgfp2jnT20nnM0rIvYzOe7+my23A6bNiMwbIsLO/38xzB7bbo7h84WlD7ROw2Q2SQi+hgP6KDXWRGBxEd7Pk8MTyAxPAAkiMCiAn2wzZMZmKJiIjI6KYkk4iIiIwYxhgigjyzlMYlhn7pY7v7Bmjq6KWtu5/2nj7aewbo6Omnvaef9u5+T8Ko36Lf7aZ3wE1fv0XfgJt+t4XNgDFgMN4j2GwGf6cdf4cdP6cNf4cNP6edAKdnllRogNNz9Pccg1wOJY9ERERkRFGSSUREREYlf6edxPAAX4chIiIiMmLYfB2AiIiIiIiIiIgMf0oyiYiIiIiIiIjIKVOSSURERERERERETpmxrJPbAWW4McYcAsp9HccgiQYO+zoIkWFAbUXk5Km9iJwctRWRk6O2InLyhnt7SbMsK+Z4d4zYJNNIYozZalnWdF/HITLUqa2InDy1F5GTo7YicnLUVkRO3khuL1ouJyIiIiIiIiIip0xJJhEREREREREROWVKMg0PD/k6AJFhQm1F5OSpvYicHLUVkZOjtiJy8kZse1FNJhEREREREREROWWaySQiIiIiIiIiIqdMSaYhzhiz1Bizzxhz0BjzPV/HI+JLxphHjTENxphdx5yLNMasNMYc8B4jjrnv+962s88Yc55vohY584wxKcaYD40xe4wxu40x3/aeV3sROYYxxt8Ys9kYs8PbVn7iPa+2InIcxhi7MeZjY8zr3s/VVkSOwxhTZoz5xBiz3Riz1XtuVLQXJZmGMGOMHfg9cD4wDrjeGDPOt1GJ+NRjwNLPnfse8L5lWTnA+97P8baV64Dx3mse8LYpkdGgH7jfsqw8YDbwDW+bUHsR+awe4CzLsiYDU4ClxpjZqK2IfJFvA3uO+VxtReSLLbYs6/+3d/8uclVhGMe/jxpFVLDQhJAVkiKdRQSx2SaI2CjGRrBQUgg2WlgJ2thaiX+ACgv+CAENBgs1IGIjGiKCRlMEFV0S3EJEbRT1sbhXnM2Oy8KAM2a+HxjuPe/cgdM8DPflnnMPtb19HC9FXmwyLbY7gPNtv2r7G3AMODLnOUlz0/YD4IdLykeAtfF8Dbh/on6s7a9tvwbOM2RKuuy1vdj2k/H8Z4Ybgn2YF2mTDn4Zh7vGTzEr0hZJVoB7gBcmymZF2rmlyItNpsW2D/huYrw+1iT9Y0/bizDcWAO7x7r5kYAk+4HbgI8wL9IW4/KfT4EN4FRbsyJN9zzwJPDnRM2sSNMVeDfJmSSPjrWlyMtV856AtpUpNV8HKO2M+dHSS3I98DrwRNufkmmxGC6dUjMvWgpt/wAOJbkROJHk1m0uNytaSknuBTbanklyeCc/mVIzK1omq20vJNkNnEpybptrL6u8+CTTYlsHbpkYrwAX5jQXaVF9n2QvwHjcGOvmR0styS6GBtMrbd8Yy+ZF+hdtfwTeZ9gPw6xIm60C9yX5hmELjzuTvIxZkaZqe2E8bgAnGJa/LUVebDItttPAwSQHklzNsBnYyTnPSVo0J4Gj4/lR4M2J+oNJrklyADgIfDyH+Un/uQyPLL0IfNn2uYmvzIs0IcnN4xNMJLkWuAs4h1mRNmn7VNuVtvsZ7knea/sQZkXaIsl1SW74+xy4G/icJcmLy+UWWNvfkzwOvANcCbzU9uycpyXNTZLXgMPATUnWgWeAZ4HjSR4BvgUeAGh7Nslx4AuGN209Ni6JkJbBKvAw8Nm41wzA05gX6VJ7gbXxLT5XAMfbvpXkQ8yKtBP+r0hb7WFYfg1Dz+XVtm8nOc0S5CXt/3apnyRJkiRJkhaEy+UkSZIkSZI0M5tMkiRJkiRJmplNJkmSJEmSJM3MJpMkSZIkSZJmZpNJkiRJkiRJM7PJJEmSJEmSpJnZZJIkSZIkSdLMbDJJkiRJkiRpZn8BVfJiAON0QdUAAAAASUVORK5CYII=\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "# Define your data1, data2, and data variables here\n", "\n", "y1 = 80\n", "y2 = 140\n", "y3 = 420\n", "\n", "# Plot 1\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data1[:500])\n", "plt.axvline(y1, color='r')\n", "plt.axvline(y2, color='r')\n", "plt.axvline(y3, color='r')\n", "plt.grid(True) # Add a grid\n", "\n", "# Plot 2\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data2[:500])\n", "plt.axvline(y1, color='r')\n", "plt.axvline(y2, color='r')\n", "plt.axvline(y3, color='r')\n", "plt.grid(True) # Add a grid\n", "\n", "# Plot 3\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data1[:500] + data2[:500])\n", "plt.axvline(y1, color='r')\n", "plt.axvline(y2, color='r')\n", "plt.axvline(y3, color='r')\n", "plt.grid(True) # Add a grid\n", "\n", "# Plot 4\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data[:500])\n", "plt.axvline(y1, color='r')\n", "plt.axvline(y2, color='r')\n", "plt.axvline(y3, color='r')\n", "plt.grid(True) # Add a grid\n", "\n", "plt.show() # Display all plots\n" ] }, { "cell_type": "markdown", "id": "386d290f-9f2b-4a94-a31e-a7d9da371bd3", "metadata": {}, "source": [ "## Using Fourier to separate signals" ] }, { "cell_type": "code", "execution_count": 120, "id": "46d971ce-29f8-4a92-95f0-976ff33227bf", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Import necessary libraries\n", "from scipy.fft import fft, fftfreq\n", "import matplotlib.pyplot as plt\n", "\n", "# Number of sample points\n", "N = 1600\n", "\n", "# Sampling period (inverse of the sampling frequency)\n", "T = 1/1600\n", "\n", "# Calculate the FFT of the signal 'data'\n", "yf = fft(data)\n", "\n", "# Generate the frequency axis for plotting\n", "## The [:N//2] part is used to select only the positive frequencies\n", "## (since the FFT result is symmetric, and the negative frequencies\n", "## are just mirror images of the positive ones).\n", "\n", "xf = fftfreq(N, T)[:N//2]\n", "\n", "# Create a plot of the magnitude spectrum\n", "plt.plot(xf, 2.0/N * np.abs(yf[0:N//2]))\n", "\n", "# Add grid lines to the plot\n", "plt.grid()\n", "\n", "# Display the plot\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f0905f91-6344-4411-9fe5-60119a770f6f", "metadata": {}, "source": [ "### More example" ] }, { "cell_type": "code", "execution_count": 122, "id": "aa1b8ebb-e797-4f61-afd2-cb3f432dae5f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.fft import fft, fftfreq\n", "\n", "# Number of sample points\n", "\n", "N = 1600\n", "\n", "# sample spacing\n", "\n", "T = 1.0 / 800.0\n", "\n", "x = np.linspace(0.0, N*T, N, endpoint=False)\n", "\n", "y = np.sin(50.0 * 2.0*np.pi*x) + 0.5*np.sin(190.0 * 2.0*np.pi*x)+ 4 *np.sin(30.0 * 2.0*np.pi*x)\n", "\n", "yf = fft(y)\n", "\n", "xf = fftfreq(N, T)[:N//2]\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "plt.plot(xf, 2.0/N * np.abs(yf[0:N//2]))\n", "\n", "plt.grid()\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 123, "id": "bc70e7e7", "metadata": {}, "outputs": [ { "data": { "image/png": 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Y2b3uvmPUqr9097eVocayOnJqbAt9aBx6IS30ZIrm+hpO9SbVhy4iFZFPC/1SYLe7P+/u/cA64MbyljV1StblkkwxM/TDq8tFRCohn9vnLgJeypreB1w2znqvN7Ongf3Ax919++gVzGwtsBagtbWVjRs3FlwwQGdnZ9Hbjvb4nn4Adjz5OLvjBgxf6bnz2T1sTL2Uc9ts7ae6qa9Jb795yzPYweq6M3Epj1kpqa7CqK7CVWtt5agrn9SxceaNvrb9SeBsd+80sxuAHwMrxmzk/jXgawArV6701atXF1ZtsHHjRorddsy+OrbT/NI+3vLmNSPmJx7+Ka2LzmL16lfntR979CEWtjTy0qnjrHj1+ay+eFFJ6iuVUh6zUlJdhVFdhavW2spRVz5dLvuAJVnTi0m3woe4e4e7d4bP9wO1ZtZSsirL6MipPuY11Y2ZX1/gY+hGdLmoD11EKiCfQH8CWGFmy8wsAdwE3Ju9gpktMDMLny8N+z1W6mLL4UhnHy3NYwO9IRGnqy+Z9376koPMbKgZ+iwiMtUm7XJx96SZfRT4GRAH7nb37Wb24bD8LuBdwEfMLAn0ADe5eyRuOXj0VB/nL5w5Zv6cGQlOdPfntQ9310lREam4vM7chW6U+0fNuyvr853AnaUtbWoc6ezjynFa6POa64aGNE5mYNBxh5kNCnQRqZzT+krR9u4BTvUmWTirfsyyeU11HO3Mr4We6WJpqotjQJ8eXyciFXBaB/pzh08BsKK1acyyluY6jnT2kU/PUaZFXl8bpzamFrqIVMZpHuidAKyY3zxm2bymOvqTKU7lcWI0E+B1NTFq44VdYSoiUiqndaA/e+gUDbVxFs1uGLOspTl9b5d8+tEzXSx1NXFqY6YWuohUxGkd6LsPd7KitYlYbOy1Uy1hbPrRfAI9u4WuLhcRqZDTOtCfO9TJ8vlj+89h+N4u+ZwYHQr02kygq8tFRKbeaRvohzt6OdjRy/kLxo5Bh6wWemeBXS5x05WiEbD78CleOt5d6TJESuq0DfRf70lfyPr6c88Yd/mcGQniMcuvD11dLpHyz0/8jqvveIS//OctlS5FpKRO20B/dPdRZjXUcsE4V4kCxGPG3MZEgYEeV5dLBNzz6xeB9EVlItPJaRno7s6v9xzj9eecMe4J0YwlcxrYe6xr0v31j+hD1yiXatfRMwBAKhp3pxDJ22kZ6Ftfbuflkz1c9ap5E663Yn4ze450Trq/TIs8Mw5dfejVraM3HegdPfnffE0kCk7LQP/+pn3U1cR460ULJ1xv+fwmjnb2c6Jr4pEuo7tcetXlUrVSKaczXCx2qneAVEqtdJk+TrtA7+5P8pMtL3PdhQuG7o6Yy/JwS4Ddk7TSh0e5xJiZMA519CooqtSpviTucOaselIOXf1qpcv0cdoF+jcf3UtHb5L3v2HppOsunxcC/fAkgZ7Vh76gMUbvQIqDHb2vuFYpvUz/+eI5M9LTvQp0mT5Oq0A/2tnHP/5iD29+9XwuOWvOpOsvmt1AQ22c5w7lF+iJeIyFjelD+vyRyU+mytRrHwr09O0e2rsHKlmOSEmdNoHu7nzqh1vpTab45PX5PSc0FjNetaCZrS+fnHC9vuQgNTGjJh5jQWN61MwLRyc/mSpTL3NCNBPomWmR6eC0CfQvPvQcD+44xCeufRUrWsfeXTGXy86Zy5aXTtLTn/tEZ99Airqa9KGcXWc0JuLsUQu9KmVGtiyeG7pcehToMn1M+0BPpZwvPLCLLz38HO9qW8yfX7GsoO0vX3YGA4POU787kXOdvmSKuto4AGbGsnmNvHBUgV6NMgG+RH3oMg1N60B/4WgXH7jnCf7h57t598rF3P7O1xCeZZ23lUvnEDN47Pncz7zuSw4OtdABzmlpYtfBU3k9HEOm1pguF7XQZRqZloH+7KFT/Jcfb+OaO37Bpr3H+ewfXMjn/+giauKF/3Gb62u5aPFsfr7rcM51+pKpEYF+xYoWDnb0svXl9qLql/Lp6BnADBaExw6qD12mk7weEl3NBlPO/pM9PHvoFL/Ze5xfPnuUHQc6qIkZf/z7S7jl6hXMbx77zNBCvO2ihfz3+3bywtEulrU0jlneOzBIIivQr71gAbfFt3LfMwe4aPHsV/TdUlodvUma62qojcdorqsZGvUiMh1ELtAfefYIn360B3tiA529STp6BxgYTHdt1MaNi5fM5jNvv4B3vPZMzgi3wH2l3hoC/V+f3s9/fvOKMcsPdvSN+NGYNaOWVctb+MmW/fzlNedRH/rXpfI6egaY2ZC+oGxmQ60u/5dpJXKBPiMRZ269sXTRbBrrapjZUMvZc2dw7vwmLjxzFg2J0ofnwlkNXH7OXP5l00vcvGY58awberk7Lxzp5B0Xnzlim7VvPIf/+PXH+cavXuDmNctLXpMUp71ngFnZga4uF5lGIhfoK5fO5WNt9axe/bop/d4PvGEpH/7Okzy44yDXXTh8D5gT3QN09CZZesbIrpg3LG/hmgta+fLDz7FqeQsXL1HXSzXo6B0YuuXD3MZa9p/sqXBFIqUzLU+KlsM1FyxgydwGvrpxz4jRK5nhieP1rf+Pd76G+TPr+LN7nmDzi7mHPcrUGEw5e450sTCcEF21vIXt+zs40K5Ql+lBgZ6neMz4T2tW8PS+dv5t28Gh+XsnCPSWpjq+/WeXMbO+hnf/47/z2fU79E/8Ctq09zjHu/p50/nzAXjLBQsAeHDHoUqWJVIyCvQCvPOSRSyf38T/fGAXycH0/VteONpFPGYsCVcejra0pZEf37yKP/79Jdz96Atc+fcb+Lv7dkx6wy8pvQd2HCIRj7H6VelAXz6/iXPnNfIvm15iYFD3sJfoU6AXoCYe4+NveRXPH+ni/23eB6QDffGcBmonGOM+e0aCz/3ha7j35it4w7ln8M1H93L1Hb/gTV/YyH/71x3c98wB9p/s0YVIZXSgvYcfPLmPN65ooalu+NTRx64+j20vd/B39+3ULY8l8iJ3UrTSrv29Vl531my++NBzvP21Z/Lvzx/jjSta8tr2NYtn8b//pI3Dp3q5/5kD/HzXEb7z+Ivc/egLQLqLZvn8Rpa1pFuOy1oaWTCrngUz65kzIzHh4/Ikt4PtvfzFtzfTn0xx21vPH7Hs7a89k80vnuCeX+9l+/52/uLKc7kiz/+eItUmr0A3s+uALwFx4Ovufvuo5RaW3wB0Ax9w9ydLXGtVMDNuve7V3PS1x7hl3VMc7+rnzee3FrSP+c31fGDVMj6wahn9yRS/PdjBU787ydaX23n+SCc/3XaAk6Nu61obN+Y319M6s465jQlmNSSY1VDL7Bnp16yG9KuproYZiRpmJOLpV10NDafhOPj+ZIon9h7nwR2H+P6ml3DgSze9jnPCPe6zfebtF3DBmTP5Xz/bxYe+tYm6mhjnzISHTm7l3HlNnDV3BnMbE5zRWMfcpgSNiXjBt5AQmQqTBrqZxYGvANcA+4AnzOxed9+Rtdr1wIrwugz4anifli4/5wyuPr+Vh3amT6Zddd7EzyadSKImxkWLZ4+5ovREVz8vHOviUHsvBzt6OdTRx6GOXg519LL/ZC87D5ziZHc/XRPcBTJbbQyaHnlgKOzra+MkamIk4rH0e3jVZU+PXlaT2caoicWoiRu18Rg1MaO2Jkbt0LxxlseHpzPr1cQt7wc1uzu9Aym6+5N09w/SMzBId/8gJ7r6OdbVz/GuPo529vPisS72HOnixWNdDAw6iZoY1/7eAv7qmvPGPXEN6R/pd69cwo0Xn8njzx/n5789zCPbf8dPtuzn1Dg376qJGQ2JOA218aFjOSMRpyERp74mHv5s6QeG18RjQ8cjHgvHJmtZTdyImREziJlhWZ9jRpgenrdr3wDHNu8jFstvfdL/w8ywoT8vZKbCKmHB+PPNjMzvV/Y+yFp3z8lBZv3uxITfw4ht08uGPuf87pHfM9HPaK4f2UNdqaHBCyPXn2BfOb6pmN/x8bZprpv4aWnFyqeFfimw292fBzCzdcCNQHag3wh8y9OdwI+Z2WwzW+juB0pecZX44k0X8+Fvbw6t5dL/x5nTmGBOY2LS9QYGU7T3DHCye4D2nn66+tJBNxR8/YN09SfZtWcvZ7QuTC/rG6QvOUj/YIr+ZIru7iR9ydTQdH/W575kisEy9y3HHrhvVACmQzAeM3oHUvT0J+keGGSy7E/UxFgyp4Fz5zVx9fmttJ09h1XLz2BGIr+exbqaOFeeN48rz5vHxplHuOqqqzja2c++E92c6O7nWGc/x7v6ae8ZoLt/kN7wo9IzMPz5RNcAyVSKZMpJDjrJwRQDqfT70LxUaujq5qJse7r4bcvpsV9XuoLcfrmx0hWM8OGrzuXyhtLv1yY7EWdm7wKuc/cPhen3Ape5+0ez1lkP3O7uvwrTDwO3uvumUftaC6wFaG1tbVu3bl1RRXd2dtLUNPafzpXg7iNaBtVUW7ZXUlfKnYEUJFMwkHIGUzDo6elBT4/vTjpD8wdTnn4P85Kj5qW3S++np6+feE1i5H6y9pWIQV0c6mos/R4ffk/EoSlhzEwYzQmjPp67lTaVxysf7k4q/Fkd8PCe8uHP7pDCR0x3dnXTMGPGyPVHbO+jtgfC9NB3D9Uwct7oaUat51lLR8/r6emlvqG+gH3kmJc1w7OXjfozjDbRst7eXurrR97PqZgBCLm2KGYsw+LmGPPiPUX9HVuzZs1md1+Zoxif8AX8B9L95pnp9wL/MGqd+4ArsqYfBtom2m9bW5sXa8OGDUVvW27VWpvqKozqKky11uVevbUVWxewyXPkaj7DFvcBS7J/XID9RawjIiJllE+gPwGsMLNlZpYAbgLuHbXOvcD7LO1yoN2ncf+5iEg1mvRskbsnzeyjwM9ID1u82923m9mHw/K7gPtJD1ncTXrY4gfLV7KIiIwnr9P/7n4/6dDOnndX1mcHbi5taSIiUghd+i8iMk0o0EVEpgkFuojINKFAFxGZJia9UrRsX2x2BHixyM1bgKMlLKeUqrU21VUY1VWYaq0Lqre2Yus6293HvYFUxQL9lTCzTZ7r0tcKq9baVFdhVFdhqrUuqN7aylGXulxERKYJBbqIyDQR1UD/WqULmEC11qa6CqO6ClOtdUH11lbyuiLZhy4iImNFtYUuIiKjKNBFRKaJyAW6mV1nZrvMbLeZfbLCtew1s61mtsXMNoV5c83sQTN7LrzPmYI67jazw2a2LWtezjrM7FPh+O0ys2unuK6/NbOXwzHbYmY3VKCuJWa2wcx2mtl2M7slzK/oMZugrmo4ZvVm9hszezrU9l/D/Eofs1x1VfyYhe+Km9lT4alu5T9euZ58UY0v0rfv3QOcAySAp4ELKljPXqBl1Ly/Bz4ZPn8S+PwU1HElcAmwbbI6gAvCcasDloXjGZ/Cuv4W+Pg4605lXQuBS8LnZuDZ8P0VPWYT1FUNx8yApvC5FngcuLwKjlmuuip+zML3/RXwf4H1YbqsxytqLfShB1a7ez+QeWB1NbkR+Kfw+Z+APyj3F7r7I8DxPOu4EVjn7n3u/gLpe9hfOoV15TKVdR1w9yfD51PATmARFT5mE9SVy1QeM3f3zjBZG15O5Y9ZrrpymbJjZmaLgbcCXx/1/WU7XlEL9EXAS1nT+5j4L3y5OfCAmW229AOwAVo9PK0pvM+vUG256qiGY/hRM3smdMlk/slZkbrMbCnwOtItu6o5ZqPqgio4ZqH7YAtwGHjQ3avimOWoCyp/zL4IfILwrO6grMcraoE+3iPdKznucpW7XwJcD9xsZldWsJZ8VfoYfhU4F7gYOAB8Icyf8rrMrAn4AfAxd++YaNVx5pWttnHqqopj5u6D7n4x6WcGX2pmF06w+pTVlqOuih4zM3sbcNjdN+e7yTjzCq4raoFeVQ+jdvf94f0w8CPS/0Q6ZGYLAcL74QqVl6uOih5Ddz8U/g+YAv4Pw/+snNK6zKyWdGh+191/GGZX/JiNV1e1HLMMdz8JbASuowqO2Xh1VcExWwW8w8z2ku4afpOZfYcyH6+oBXo+D6yeEmbWaGbNmc/AW4BtoZ73h9XeD/ykEvVNUMe9wE1mVmdmy4AVwG+mqqjMX+bgD0kfsymty8wM+Aaw093vyIgFS9MAAADgSURBVFpU0WOWq64qOWbzzGx2+NwAXA38lsofs3HrqvQxc/dPuftid19KOqd+7u5/SrmPV7nO7pbrRfph1M+SPgt8WwXrOIf0Wemnge2ZWoAzgIeB58L73Cmo5Xuk/1k5QPqX/s8nqgO4LRy/XcD1U1zXt4GtwDPhL/HCCtR1Bel/zj4DbAmvGyp9zCaoqxqO2UXAU6GGbcCnJ/v7PkXHLFddFT9mWd+3muFRLmU9Xrr0X0Rkmohal4uIiOSgQBcRmSYU6CIi04QCXURkmlCgi4hMEwp0EZFpQoEuIjJN/H+bzITsx/Jk2QAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scipy.fft import fft, fftfreq\n", "\n", "# Number of sample points\n", "\n", "N = 600\n", "\n", "# sample spacing\n", "\n", "T = 1.0 / 800.0\n", "\n", "x = np.linspace(0.0, N*T, N, endpoint=False)\n", "\n", "y = np.sin(50.0 * 2.0*np.pi*x) + 0.5*np.sin(190.0 * 2.0*np.pi*x)+ 4 *np.sin(30.0 * 2.0*np.pi*x)\n", "\n", "yf = fft(y)\n", "\n", "xf = fftfreq(N, T)[:N//2]\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "plt.plot(xf, 2.0/N * np.abs(yf[0:N//2]))\n", "\n", "plt.grid()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1fad3c8a", "metadata": {}, "source": [ "## Save as an audio file" ] }, { "cell_type": "code", "execution_count": 140, "id": "1e3091de", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "samplerate = 44100; fs = 100\n", "\n", "t = np.linspace(0., 1., samplerate)\n", "\n", "amplitude = np.iinfo(np.int16).max \n", "\n", "data = amplitude * np.sin(2. * np.pi * fs * t)\n", "\n", "\n", "fig = plt.figure(figsize=(20, 2))\n", "plt.plot(data)\n", "\n", "write(\"example1.wav\", samplerate, data.astype(np.int16))\n" ] }, { "cell_type": "markdown", "id": "01b905e1", "metadata": {}, "source": [ "Read More:https://docs.scipy.org/doc/scipy/reference/generated/scipy.io.wavfile.write.html\n", "\n", "Tutorial by [Class.vision](Class.Vision)" ] } ], "metadata": { "kernelspec": { "display_name": "vision-class", "language": "python", "name": "tensorflow_25" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }