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Created September 28, 2020 14:35
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peaktop_find_by_cepstrum_example.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "peaktop_find_by_cepstrum_example.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyPJklRCgwTLopMhm9TRnx0Z",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/akirayou/3ba86c4d5312b5b6779f26129c42dc70/peaktop_find_by_cepstrum_example.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "BXxtgF6fqmR9",
"outputId": "47bd4c0d-a1a8-492c-ec7b-368b1bbbf881",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
}
},
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"xx=np.linspace(-20,20,400)\n",
"\n",
"sim=np.exp(-(xx-3)**2)+ \\\n",
" 0.5*np.exp(-(xx+3)**2)+ \\\n",
" 0.5*np.exp(-(xx+5)**2)+ \\\n",
" 0.5*np.exp(-(xx-7)**2)+ \\\n",
" 0.5*np.exp(-(xx-1.2)**2)+ \\\n",
" np.random.randn(400)*0.002 #*10\n",
"\n",
"correct=np.exp(-200*(xx-3)**2)+ \\\n",
" 0.5*np.exp(-200*(xx+3)**2)+ \\\n",
" 0.5*np.exp(-200*(xx+5)**2)+ \\\n",
" 0.5*np.exp(-200*(xx-7)**2)+ \\\n",
" 0.5*np.exp(-200*(xx-1.2)**2)\n",
"\n",
"\n",
"def unipeak(c): #低周波成分の一つのピークのみを取り出す\n",
" ret=c.copy()\n",
" for i in range(4,len(c)//2):\n",
" r=max ((0.7,np.abs(ret[i+1]/ret[i])))*np.abs(ret[i+1])\n",
" r2=np.abs(ret[i+2])\n",
" ret[i+2]= min((r,r2)) * ret[i+2]/r2\n",
" for i in range(4,len(c)//2):\n",
" r=max ((0.7,np.abs(ret[-i-1]/ret[-i])))*np.abs(ret[-i-1])\n",
" r2=np.abs(ret[-i-2])\n",
" ret[-i-2]= min((r,r2)) * ret[-i-2]/r2\n",
" return ret\n",
" \n",
"\n",
"\n",
"\n",
"f=np.abs(np.fft.fft(sim)) #パワースペクトル[横軸周波数]\n",
"c=np.fft.ifft(f) #ケプストラム[横軸時間] (位相情報を落とした信号)\n",
"plt.title(\"filtering on cepstrum\")\n",
"plt.plot(np.abs(c))\n",
"plt.plot(unipeak(c))\n",
"plt.show()\n",
"cf=np.fft.fft(unipeak(c)) #実空間で高周波を落とす事で、パワースペクトル包洛にする[横軸周波数]\n",
"plt.title(\"power spectrum envelope\")\n",
"plt.plot(f)\n",
"plt.plot(cf)\n",
"plt.show()\n",
"\n",
"\n",
"c=np.fft.ifft(cf)#パワースペクトル包洛をインパルス応答に戻す[横軸時間] (声道のインパルス応答に相当)\n",
"\n",
"#強調フィルタを作る\n",
"#パワースペクトル包洛をフラットに戻してあげれば、声道の影響をキャンセルして、元の声帯の振動のみが出てくるはず。\n",
"\n",
"f=np.copy(cf)/np.max(np.abs(cf))\n",
"#増幅率20倍ぐらいまでは頑張るけど、それ以上は良く分からん領域なのでがんばらない\n",
"zidx= np.nonzero(np.abs(f)<1/20)[0] \n",
"f[zidx]=f[zidx]+1/20\n",
"e=np.fft.ifft ( np.fft.fft(sim)/f )\n",
"\n",
"plt.title(\"kansoku\")\n",
"plt.plot(correct,c=\"red\",label=\"Risou(You can not see)\")\n",
"plt.plot(sim,c=\"green\",label=\"Genjitu\")\n",
"plt.legend()\n",
"plt.show()\n",
"plt.title(\"Impulse (estimated)\")\n",
"plt.plot(np.exp(-xx**2)*np.max(c),label=\"exp(-x**2)\")\n",
"plt.plot( np.roll( np.abs(c),len(c)//2),label=\"estimated\")\n",
"plt.legend()\n",
"plt.show()\n",
"plt.title(\"Deconvluted\")\n",
"plt.plot(sim*3,c=\"green\",label=\"Genjitu\")\n",
"plt.plot(np.abs(sim*e),c=\"blue\",label=\"result\")\n",
"plt.plot( np.abs(correct*np.max(sim*e)/np.max(correct)/6) ,c=\"red\",label=\"Risou\")\n",
"plt.legend()\n",
"plt.show()"
],
"execution_count": 122,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/numpy/core/_asarray.py:85: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
],
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/numpy/core/_asarray.py:85: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
],
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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63t/GjRuH/qaUMU3YkEuqX9A7G5g+aXrYcooyFMasoI8VbrnlFl577TUSExOZOXMmO3fuDK4B3tzczMGDB0lMTGTVqlUUFRUBsGzZMsrKyiIKunLqUNNWg1OcZKVkBdPUQ1fsYswKejRP2i4WL17cZx3whx56iPr6ekpKSpgxYwb/8z//w0UXXdSnzMaNG2NeqTAcw1k9URnb1LTXkJuWi0NORjdDPXRFsRKNoffj/PPPp6uri5/85OROeh0dvs6riy66iJ/85Ce43W7At8Jfe3t73G30X4EwltUTlfFJ/zHooB66Yh9j1kMfLUSEZ599ljvuuIPvfe975ObmkpaWxne/+12uueYaysrKWLFiBcYYcnNzg8vTRqszlOzsbNasWUNxcTGXXHIJ999/f0yrJyrjj9B1XAKoh67Yha62aDNLlixhw4YNzJ49e7RNOSUZ7e/U3B/N5eyis/ntR37bJz3jvzK4cfmNPHjxgxFKKkp4dLXFUWL9+vUsWbJExfwUprGzkazkrAHpOrlIsQMNudjIP/7xj9E2QRlFPF4PTV1NfUa4BND1XBQ7GHMe+miFgJSJx2h/l5q7mzGY8IKekh3cMFpRrGJMCXpycjINDQ2j/kNUxj/GGBoaGkhOTh41GwKCPSVlyoBzmUmZtHS3jLRJygRnTIVcioqKqKiooK6ubrRNUSYAycnJwcleo0FjZyNAWA9dBV2xgzEl6C6XSzsQlQlDwEOPJOit3a0D0hVlOIypkIuiTCSCIZfkgSGXjMQMWrpbNLyoWIoKuqLYRGPX4CEXg6HdHf9MY0WJhAq6othEtE5RQMMuiqWooCuKTZzoPEF6YjqJzsQB5zKSMgC0Y1SxFBV0RbGJE50nwsbP4aSHroKuWIkKuqLYRH1HPblpuWHPBUMuPRpyUaxDBV1RbKK+oz64VG5/MhI15KJYjwq6othEfUc9Oak5Yc9pyEWxAxV0RbGJhs6GiIIe6BTVUS6KlcQk6CJysYjsF5FDInJXmPMzROQVEdkuIjtF5FLrTVWU8YPb46apqyliyEU9dMUOogq6iDiBh4BLgEXAdSKyqF+2rwFPGWOWA9cCD1ttqKKMJwJj0CN56EnOJFwOlwq6YimxeOirgEPGmCPGmB7g98AV/fIYINP/ehJw3DoTFWX8EVjrPJKgiwgZSRk6ykWxlFgEvRA4FnJc4U8L5evAx0WkAngeuC1cRSLyGRHZIiJbdEVFZSJT31EPnNw/NBy64qJiNVZ1il4HPG6MKQIuBX4tIgPqNsb81BhTYowpyc0NPz5XUSYCAUGP5KGDCrpiPbEIeiUwPeS4yJ8WyqeBpwCMMW8CyUDkb7KiTHAaOgYPuYBvLLqGXBQriUXQ3wXmichsEUnE1+m5oV+eo8AFACKyEJ+ga0xFOWUJhlwijHIB9dAV64kq6MaYXuBW4AVgL77RLLtF5Jsi8mF/ti8BN4nIDuBJ4AajCz0rpzD1HfWkulJJcaVEzKOCrlhNTDsWGWOex9fZGZp2T8jrPcAaa01TlPHLYJOKAmQkZujEIsVSdKaootjAYNP+A6iHrliNCrqi2MBgC3MFyEjKoN3djsfrGSGrlImOCrqi2EAsIZfA9P+2nraRMEk5BVBBVxQbiDXkArqei2IdKuiKYjG93t5BF+YKoGuiK1ajgq4oFhNtYa4AumuRYjUq6IpiMbFM+wcNuSjWo4KuKBYTy8JccHKTCxV0xSpU0BXFYmJZxwUgPTEdgPaedtttUk4NVNAVxWJiDbkEBF1j6IpVqKArisXEsjAXnBzlouPQFatQQVcUi2nobIi6MBdAckIyDnGooCuWoYKuKBYTy6Qi8G1Dl56Yrgt0KZahgq4oFhNxHZeODujs7JOUkZihHrpiGSroimIxEddxSUuD/Pw+SemJ6bS5VdAVa1BBVxSLqe+ojzwGvbVveEVDLoqVqKArioUYYzjeepyC9IKY8mckachFsQ4VdEWxkObuZjrcHRRlFsWUPz0xXQVdsQwVdEWxkIqWCoC4BF0nFilWoYKuKBYSr6DrKBfFSlTQFcVCAoJemFEYU34NuShWooKuKBZS2VKJIBRkxNYpGhB0r/HabJlyKqCCrigWUtFSQX56PonOxJjyB9Zz6XB32GmWcoqggq4oFlLRWhFz/BxOrrioYRfFClTQFcVCKloqYo6fgwq6Yi0q6IpiIZUtlXF56IFdi3S2qGIFKuiKYhHtPe00djVqyEUZNVTQFcUiKlsrgRiGLHo8wZcq6IqVqKArikXEPKnI7Q6+DIxy0dmiihWooCuKRQQnFWVG8dB7eoIv1UNXrCQmQReRi0Vkv4gcEpG7IuT5NxHZIyK7ReR31pqpKGOf3bW7cTlczJo8a/CMIR66CrpiJQnRMoiIE3gIWA9UAO+KyAZjzJ6QPPOArwBrjDGNIpJnl8GKMlYprSmlOK84+qSiEA9dR7koVhKLh74KOGSMOWKM6QF+D1zRL89NwEPGmEYAY0yttWYqytjGGMP2qu0sn7o8euYQDz3RmYjL4VIPXbGEWAS9EDgWclzhTwtlPjBfRF4XkbdE5OJwFYnIZ0Rki4hsqaurG5rFijIGOd56nLqOOpZNXRY9c4iHDrpAl2IdVnWKJgDzgPOA64DHRGRy/0zGmJ8aY0qMMSW5ubkWNa0oo8/rx14H4Kyis6Jn7ifoGUkZOspFsYRYBL0SmB5yXORPC6UC2GCMcRtj3gcO4BN4RTkl2Fi2kYzEDFYUrIieOSTkAuqhK9YRi6C/C8wTkdkikghcC2zol+dZfN45IpKDLwRzxEI7FWVM80rZK6yduZYER9RxBhpyUWwjqqAbY3qBW4EXgL3AU8aY3SLyTRH5sD/bC0CDiOwBXgHuNMY02GW0oowldtbsZF/9Pi457ZLYCvTz0DMSNeSiWEMM7gQYY54Hnu+Xdk/IawN80f+nKKcUv9j+C1wOF9cWXxtbgTAeel2HDhJQho/OFFWUIdLe085n//pZfvj2D7luyXXkpObEVlBDLopNqKAryhB56N2H+Om2n7Ikbwnfv/D7sRcMF3LRiUWKBcQUclEUpS917XX89xv/zYVzL+SFj78QX2H10BWbUA9dUYbAF1/8Ii3dLdy//v74C4cZttjZ24nH64lQQFFiQwVdUeLEGMOLh1/ko8Uf5Yz8M+KvIMzEItAFupTho4KuKHFytPkote21nFUYw6zQcIQJuYAKujJ8VNAVJU7eqXwHgFWFq4ZWQZiQC6igK8NHBV1R4uTNijdJciYNLdwCA0MuiRpyUaxBBV1R4mRT+SbOLjo7+rrnkYjgoetsUWW4qKArShy0dLewvXo75848d+iVaAxdsQkVdGXUONJ4hF5vb9zlXn7/ZW752y30eHqiZ7aYdyrfwWu8rJ25Nv7CIr7/OspFsQkVdGVUuO3525j7o7nc/NzNcZUzxvDxP3+ch7c8zF0vhd3e1lb21Pl2XhxS/Dwg6Mb0SQ6GXHS2qDJMVNCVEcfj9fD4jscB+Pn2n/NWxVsxl91atZWqtioAfln6yxH30vfW7WVK8hRyU4ewQUtAyL3ePsl2h1wqWipY/+v1PLrlUVvqV8YOKujKiLO3fi9tPW386OIfkeBI4C/7/hJz2ce2PkZKQgpPXPkETV1NvPL+KzZaOpB9DftYkLMACXjb8TBKgv546eO8dOQlbv7bzVS1VtnShjI2UEFXRpzAOO4L517IupnreO7gczGV6+rt4ne7fsdHiz/KNYuvIcmZxD+O/MNOUwewr94n6HETGmbpJ+gJjgSSE5JtG+Xy9J6ngxtvvHb0NVvaUMYGKujKiLPl+BYmJU1iXvY8Lpt3Gbtqd1HWVBa13J66PbT1tPGheR8iOSGZpVOXsrVqq/0G+2ntbqW6rZr52fPjLzyIoIN9C3TVtNWwo2YH3zjvG6S6Utl8dLPlbShjBxV0ZcTZVbuL4rxiHOLgsvmXAfDcgehe+ns17wGwJG8JACUFJWw9vhWvGSiQdnCs5RgAMyfNjL9wqIiHEfSMxAxbBP3tyrcBOHfmuZxddLYK+gRHBV0ZUYwxQUEHmJc9j/nZ83n+4PNRSsJ7te+R5ExibtZcAFZOW0lrTysHGw7aanOAY80+QS/KLIq/cAweuh0hl7cr3sYpTpYXLGftjLXsqN5Bc1ez5e0oYwMVdGVEqW6rprGrMSjoAOtmrOPtyrcx/Ybz9WdX7S4W5S4KxoOX5i8FYHfdbvsMDqGipQKA6ZOmx184ioduV8jlnePvsCR/CamuVNbOWIvB8MaxNyxvRxkbqKArI8qu2l0ALM5dHExbVbiKE50nONJ4JGI5r/Gy5fgWlk1dFkw7Les0gJHz0FuOIQjTMqbFXziKh56RZE/I5b2a91g+dTkAZxedjVOcvFnxpuXtKGMDFXRlRAl406Ee+pmFZwInR7+EY0/dHho6G1g3c10wbVLyJHJTczl04pBN1vblWPMx8tPzh7aGSwweutUTi050nqCmvYZFuYsASEtMY8akGRxuPGxpO8rYQQVdGVF21e4iNzWX3LSTE3MW5y4myZnEtqptEcu9WvYqwIA1VOZlz+PgiZHx0CtaK5ieOYRwC4zKKJe9dXsBgoIOMGvyrJhGFCnjExV0ZUTZXbe7j3cO4HK6mJ89n30N+yKWe7vybQrSC5g1eVaf9HlZ80bMQ69sqRxauAVGZZRLYJkCFfRTBxV0ZcToP8IllAU5C4IeZTj21O2hOK94wAzNuVPmUtlaSVdvl+X29qemvYaC9IKhFR6FUS776veRkpDCjEkzgmmzJs/ieOtxunu7LW1LGRuooCsjRlVbFW09bWFnWi7MWcj7Te+HFWav8bKvfh8LcxYOOBcYcXK89bj1Bofg9rip76gnPz1/aBXEEEPv8fRYujZNWXMZsybPwiEnf+aBJ5yjzUcta0cZO6igKyNGcNhfmDj0gpwFeI037IiVipYK2t3tLMwdKOiFGYV96raL2vZaAKamTx1aBdFGufh3LWrvaR9a/WEobypn5uS+k6ACgv5+0/uWtaOMHVTQlRGjsqUSgMLMwgHnAmK9r35gHD0QignnoQcm+QTqtoua9hpgGIIeg4cO1i7QVd5cPmBW60hdL2V0UEFXRozKVr+gZwwU9MD6KHvrB8bRA2lhPfTMkfHQq9uqAchPG2LIJYYYOli3DV17Tzv1HfUDBD3QB2B3iEoZHVTQlRGjsqUSl8PVZ8higFRXKjMnzYzooWelZIVdgzwzKZP0xPTgzcIuatrs9dCt3rUoECPvH3JJcaWQlZJl+/VSRoeYBF1ELhaR/SJySEQibhMjIv8qIkZESqwzUZkoVLZWUpBR0KeTLpSFuQsjeugLcxZGXIO8KLPIdoEKeuhD7RSN0UO3StDLm8uB8AuJFWYUqqBPUKIKuog4gYeAS4BFwHUisihMvgzgC8DbVhupTAwqWyvDhlsCLMhewP76/QNWTwwIeiQKMwpHJOSSkZhBqit1aBXEGEO3arZoIEYebiGxaRnTNOQyQYnFQ18FHDLGHDHG9AC/B64Ik+9bwHcB+wcEK+OSypbKsB2iAUqmldDZ28nW4yfXOK9rr6O+oz5s/DxAUWaR7Z18Fa0VQ1tlMUCMo1ys8tADgj01fSocPQoLF0LlyT4M7RSdmMQi6IXAsZDjCn9aEBFZAUw3xvzNQtuUCUZ1W/WgE3MuOu0iBOmzlG5gv9GVBSsjlivMKOR463E8Xo91xvajomWYgj7Co1yq2qrISc0hKSEJ9u+Hfft8//F56DXtNfR6ey1pSxk7DLtTVEQcwAPAl2LI+xkR2SIiW+rq6obbtDKO6HR30tzdPGinYk5qDmcVncX/Hv7fYNrmo5txOVysKlwVsVxhZiEe4wmOFbeDYQv6CI9yOd56/OTNM9Ce2w34rpfXeIMdvcrEIRZBrwRCZ4IU+dMCZADFwEYRKQPOBjaE6xg1xvzUGFNijCnJzR3CrunKuCXQqRht6vwHij5AaXVp0HvcfHQzqwpXkeJKiVgmOLbapo4+t8dNVWvV0BfmgqgeelpiGmBtyCW47ozH/+TiF/RAusbRJx6xCPq7wDwRmS0iicC1wIbASWNMszEmxxgzyxgzC3gL+LAxZostFivjkoCgRxv2t7xgOV29Xeyr30dNW0sTGbgAACAASURBVA3vVL7DBbMvGLSM3bNFq9uqMRhbPXSHOEhzpdkj6P09dP/10pEuE4+ogm6M6QVuBV4A9gJPGWN2i8g3ReTDdhuoTAzCCvp3vwsH+071X1GwAoDtVdt5dt+zeI2XqxddPWjdds9+DNwo7Iyhg3VronuNl+q26qgeunaMTjwSYslkjHkeeL5f2j0R8p43fLOUicYAQa+vh7vugkcegfdPrityevbppLpSef3Y62yt2sqCnAVhV2cMJTctF5fDZZuHHvBkh7x0LkT10MG/a5F7+B56XXsdHuM5Gd7qJ+h5aXk4xakhlwlITIKuKMOlqq0KhzjIS8vzJfjFhc7OPvmcDidXLbiKR7c+CsBjlz8WcUJRgEC9gfVWrGbYs0QhJkG3apOLgFBHCrk4HU6mpk/VkMsERKf+KyNCdVs1uam5OB1OX0Kvf8hcwkCf4nNnfg7wjUv/xNJPxFR/fnq+fYLeXoNDHOSk5gy9khEMuQwQ9H4eOvhGuqiHPvFQD10ZEarbqvt6uIMI+gemf4D9t+5nzpQ5JDhi+4rmp+XbNgyvpq2GnNSckzejoRBLyCUxg/qO+qG34aeqrQqI7KGDr2N0f8P+YbeljC3UQ1dGhOq2agoyQoYsdvt3zHG5wuafnz0/ZjEH+z30YKhoqMTooVsZcgmuOxPGQ9fp/xMTFXRlRKhqq+rroQcE3TlEr7e4GP7lX4KHAQ/dhHrCFlHbXjv0ZXMDxBhDt2Ji0fHW4+Sm5pLoTPQlhAu5ZBTS1NVEh7tj2O0pYwcVdMV2ArMSp6aFEfQwIZeY2L0bNm4MHuan5eP2umnsahy6oRGoaa8Z+iqLAWLw0K3aKLrPGPTQ9vp56IG8ysRBBV2xncbORtxed18Pvce/d+ZQBb0fAcG1I45e01YzYh56W0/bsJ8yqtqq+gp6hE5R0LHoEw0VdMV2gtP+44ihx0tAcK2Oo7f3tNPubh+xGHqvt5duT/ewmqpuq+77RDGIh65DFycWKuiK7QRGXYSNoY9xDz2w4NdIeegwvPVcjDEDY/4RYuigIZeJhgq6Yjthp/0Pp1M0TEgiULfVHnqgvj4e76uvwsc/HtaOiMTgoWcmZQLQ0t0St50Bmrub6fH0RBX0zKRMUl2pGnKZYKigK7YTVtCHE0PvGriHSlZKFk5xWu6hB+rrI5CXXAK//S00N8deUQwe+uTkyQA0d8VRbz8C9vYJEYUJuYgIBekFVLdXD7ktZeyhgq7YTnVbNamu1OCuPMDwYujt7QOS7Jr+H9ZDn+q/MVXG4d3G4KEHBL2pqykuG0MJhojSB/fQA3l0TfSJhQq6YjuBMeh91mQZTgw9jKCDPZOLAgKZmxqyfn+Bv3O3Io7FwAIeusMRVdCHM/Qy8P6jeejgH7tv02QsZXRQQVdsZ8C0f7BH0G2Y/l/TVsPk5Mm+rdwCBDz0eAQ9IKpO58h46FFi6OALgQXCYcrEQAVdsZ1BBX0onaIj6KHXtIcZg57n937jCbkEPPSEBFsFvaatBkHITs0+mRgp5JKWz4nOE7g9fdOV8YsKumI7YTeHHk6naFv4YX12TP8PO0s0cBOy2EPPSMrAIY5he+g5qTl918GJFHLxvy8792JVRhYVdMVWunu7OdF5YsRCLt2ebpq7hz5KpD81bWEW5gp4vMeOxV5RDB66QxxMSpo0PA893EJig4RcAmWUiYEKumIrAbGIKOgRxG1QBgm5gLWTi8IuzBUQyJY4xovH4KGDL+wy3E7RAU8Ug3SKAhpHn0CooCu2UtXqmyU6IOQSEPSAOMbDIB46WOdx9nh6aOxqjCzo8dgeg4cOPkEfbsglVg/dzvVvlNFBBV2xlcC0/z7ruMDJGPpwPPSkpD7JVgtU2DHdcHJzjsD/WIjDQx9up2jEG1AED11DLhMHFXTFVmz10FNS+iRbHRMOO+sSxqyH3unupLWndaC9EUIuaYlppCemq4c+gVBBV2xlwObQAawQ9H4dqtkp2TjEYb2HHsnjtcFDn5I8ZciCHtVe98Dhiflp+Tr9fwKhgq7YyvHW4+Sl5Q3cj3M4gt7ZGbas0+EkNzXXOg893LT/0HbjEfQ4PPTGzqF1igYEPVYPHXxPNeqhTxxU0BVbqWqrGhhugeGNcgkIaZibgZWTi8IuzBXabjw3ozhi6O3u9iFN9ol6Awrnodu4F6sy8qigK7ZS1Vo1sEMUTnaKDsVDH0zQLZz+X9NeQ6orlbTEtPDt2+ShA0MaSx8Yfhh3yEWHLU4YVNAVW4nqoVss6AUZBZZt2hDRdhtj6MOZ/l/ZUokgA2+gUUIuOv1/4qCCrtiGx+uhtr12RAW9MKOQqrYqvGYIoZx+HGs+xvRJ0weesHGUy5SUKQBDiqNXtFSQl5ZHojOx74lBPHSdLTqxUEFXbKO2vRav8YYPudgo6L3eXkvWJznWcozpmYMI+hjz0CtaKyjKLIrcdhhBD2xFpzsXTQxU0BXbCE4qCuehB8RlOJ2iXu+AbeCs2s3e4/VQ2VI5uKDbNA4dhh5yCSvog3jogfwVLXEsNKaMWVTQFdsITioK56EP4mVHJdQz7ieOVglUdVs1HuMJH3KxeaYoDNFDb4nfQ1dBn1jEJOgicrGI7BeRQyJyV5jzXxSRPSKyU0T+KSIzrTdVGW/E5KEPV9D7lQ+GEFqH56Efa/GtpGhZyMVmD729p53Grsbg++/DIB56VkoWyQnJKugThKiCLiJO4CHgEmARcJ2ILOqXbTtQYow5A3ga+J7Vhirjj4CHPmClRbDOQ+9XPi8tD6c4hx1yOdbsF3SrOkVj9NDTXGkkOBLiXnExcAOLN+QiIhRlFlHRqoI+EYjFQ18FHDLGHDHG9AC/B64IzWCMecUY0+E/fAsI861STjWOtx4nOyW77/ZtAayIoUPY2aIFGQXD9tADQx8H9Xht8NBFZEjruQRuYIOGXHp7B/Q5BMqohz4xiEXQC4HQlfwr/GmR+DTw93AnROQzIrJFRLbU1dXFbqUyLqlqizCpCGzz0MEnUMMV9Kq2KlwOF1kpWZHbt8FDB1/Y5UTnidjr5mQMfFAPHcLehAozClXQJwiWdoqKyMeBEuD+cOeNMT81xpQYY0pyc3PDZVEmEBEn5oBtMXSwRqAC+6CKyMCTgTaNif0JI+AZxyDoeWl51HXE5/AE3m9glE8fQtuL0DFa2VJpydh9ZXSJRdArgdBAYpE/rQ8i8kHgbuDDxphua8xTxjMRp/2DrR56YUbhsGPogz5dRPF4wxIQ1SghFxja8gUVLRVMSZ5Cqit14MlQeyMIutvrpq5dn5rHO7EI+rvAPBGZLSKJwLXAhtAMIrIceBSfmOuOswrGmPCbQwewKYYOPi+1taeV1u7W+Ov2U9U6yNNFaJux3pDi9NDjnRhV2RphDDrEJOigQxcnAlEF3RjTC9wKvADsBZ4yxuwWkW+KyIf92e4H0oE/ikipiGyIUJ1yitDQ2YDb644sijbH0GF4QxcDIZewjICHXt9RT6839k7XiGPQQ9sGFfQJTkxbrhtjngee75d2T8jrD1pslzLOGXRSEdgeQwefQC3IWRB39W6Pm7qOuug3owjthyXUQw8ch4vP4/PQDYaGjoaBS+FGoKKlghUFK8KfVA/9lEFniiq2MOikIq/3pNdoh6APc/p/YKEq2zz00OMwBPdGjXHBrB5PDzXtNeGHWPZvK4yg56XlkeBIUEGfAKigK7YQ07R/sCeGPszZooFJRTMmzQifYSiC3t9DH+R9B3YcijWOHrjWQ42hO8ThGxmkk4vGPSroii0Eps5Py5g28ORQQhZxlE9xpTAlecqQPfSypjIAZk2eFT6Dx3MyXBKr/XF46PEK+qBj0PvbGEbQA2XVQx//qKArtnCk8QgF6QXhh9GFispQBT3g6UYoP5zp7AFBnzk5wpJEHg8kJZ20JRbi8NADN8FYBTaqoEcJuQTKqqCPf1TQFVs40niEOVPmhD8ZEEGnc+iCHhDUCOULM4c+Fr2sqYzc1NzwN6NA+4mJJ1/HQhweemZSJpOTJ1PeVB5T1YNOKoK4PHQTZmkAZfyggq7YwqCCHhCVpCT7BD2jcMgx9LLmssjhlkCbUdofQBweOvjCPeXNsQl6ZWslaa40JiVNCp/B6z0ZIgrs5dqPoswiunq74l5yQBlbqKArltPd201FS0V0Dz0paWidojEIamFGITVtNUPaK7OsKQ5BjzfkEoOHDjBz0sxg6CcaR5uPUpRZFH6ZAvDZm5zsez2Ihw46dHG8o4KuWE55czkGM6oe+vRJ0zGYuDeM9hov5U3l1nvooYtzhR5HIOChxxICGfRpKGCjCvopgQq6YjlHGo8ARPfQk5NtE/S5U+YCcOjEobiqrmmrodvTPSY89LaetqghEGMMhxsPB99vWLzek/ZGEfSjzUcHbU8Z26igK5YTVdBDPfQw+4JGJQZBn5c9D4CDJw7GVXVwhMukQTbdGk6naBweOhA1jt7Q2UBLdwtzswYR9Bg89GkZ00hyJgU/O2V8ooKuWM6RxiMkJyRHnmkZGkMHWwR9WsY0UhJSONgwNEGP6KEb4/sbaqdorB66f8hktJEuh08cBga5eQbaiiLoDnEwe8psDjceHrQ9ZWyjgq5YzpHGI8yePBuHRPh6hXroEH/YJQZBd4iD07JOi9tDD3jEg45Bh/hDLnF66IEnhGgdowEBHjTkEhoiiiDogTpU0Mc3KuiK5UTtpAuNoUN8gm5MTIIOvrDLgYYDsdeNT0BzUnNIT0wPn6G/oNvkoWelZJGemB415HKg4QCCDLtTFHyCfqTxiI5FH8eooCuWEuikG1RghuOhB4QwhrKLcxdz8MRBOt2dMVe/t34v87LmRc7QP1xkk4cuIjENXdxTt4e5WXNJcaUM3nYsgp41l7aetrh3S1LGDiroiqVUtVXR1tPG/Oz5kTP1F8V4xqL3LzuIoC/NX4rXeNldtzumqo0xlFaXsmzqssiZhhpyidNDh9gmF+2p28Oi3EWDVxRjyCWw1PCeuj1RbVPGJiroiqXsr98PwOnZp0fONBwPPR5Bn7oUgB3VO2KquqypjJbultgEPTDKxaZx6OAT9MFCIG6PmwMNB1iUE0XQY/TQl+b7rtf2qu1RbVPGJiroiqXsb/ALes4ggj6cGHocgj5nyhzSE9MprS6NqepAvrHioS/KXURLd0vEyT4HTxzE7XVb5qHnp+dTkF5AaU1s10sZe6igK5ayv34/qa7UyCv/wYh56A5xcEb+Geyoic1DL60uxSEOivOKI2caaqfoEDz0M/LPAOC92vfCng940oPegAI2xuChB+pSD338ooKuWMqe+j3Mz54fecgixCXKwy27NH8pO2p2xDRyo7SmlNOzT4+8ymK49m300AM3lvdqwgv61qqtJCckszB34eAVxRhyAVhZsJI9dXto62mLap8y9lBBVyzD4/XwVsVbnF149uAZ+3voNnWKgs/jbOluiWmhq6gdoqHt2TzKBWBy8mSmZ05nZ+3OsOe3Vm1laf5SEhxRtgb2eMDl8q24GEXQPzD9A3iMh3cr341qnzL2UEFXLGNnzU5aultYO3Pt4Bmt9NCjCGOgoy9aHP1E5wmONh+NXdDj7RQdgocOUDKthLcr3h6Q3uvtZVvVNlYWrIxeidcLDodP1KMI+urpqwF449gbMdmnjC1U0BXL2Hx0MwBrZ0QR9BGKoYNvpEuqK5V/vv/PQfO98v4rAKwqXDV4+yPooQOsmb6Gw42HqW6r7pO+9fhW2nraOHfWudEr8Xh87cYg6JOTJ1OcV8yr5a/GZJ8ytlBBVyxj89HNzJw0k+mTpg+ecQRj6MkJyVw09yKe3fcsXhNZRP+090/kpOZwzoxzBm9/hGaKBgjY8/rR1/ukv1LmuwGdN+u86JV4PDF76ADr56xnU/kmOtwdMdmojB1U0BVLMMawuXxz9HALnBSVQEedjTF0gCtOv4LK1sqI49G7erv464G/ctWCq6LHo4c7U9Th6HscheUFy0lOSOb1Y30F/bkDz7Ekb0lwQ+mobcfooQNcfNrFdHu62VS+KSYblbGDCrpiCYdOHKKmvSZ6uAVG1EMHuGDOBQARwwj/OPwP2nrauHrR1dHbH844dJG4BT3RmciqwlV9BH1v3V5eP/Y6Hz/j47G1HUfIBWDdzHWkJKTwv4f+N7b6lTGDCrpiCX/c80fA97gelf4eus2CXpRZxJwpcyIK+lN7nmJK8hT+Zda/RG9/ODNFhyDoAOdMP4dtVduCIZCfbfsZLoeLG5bdEHvbcYRckhOSOW/WeSro4xAVdGXYeI2XX+34FetmrmP2lNnRC4ywhw5w7sxz2Vi2ke7e7j7pJzpP8PSep/no4o/icrqiVzQcD93hGJKgnz/7fHq9vXz2uc/ync3f4YG3HuDKBVfGFm4J2ByHhw6+sMv+hv264cU4QwVdGTZ/3vtnDjQc4KYVN8VWYATHoQe4rvg6mrqaeGbfM33Sf1X6K7p6u7i55ObY2h/OKJcheujnzz6fu9fezW92/oa7X74bgNtW3RZbYWPijqEDXDb/MgCe3fdszHYqo48KujIsPF4P97xyDwtzFnJd8XWxFRoFD/2CORcwd8pc7t18Lz2eHsDXkfvI1kdYXbQ6uJCXXe0Px0MXEb627mtMy5hGYUYhTV9uiq3zOdAuxBVyAd86OMumLuPJXU8Gr5cy9onSpa8og/Pwuw+zt34vf7zmjzgdztgKud0+b9XlD3GMgKA7xMEPLv4Blz95ue9v/uXUtNVwoOEAT1z5ROztD9VD7+z0DVkcgqCDL67994/9HYBJyZNiLxiwN04PHeCmFTdxy/O38NGnP8ozH30megFl1IlJ0EXkYuCHgBP4mTHmvn7nk4AngJVAA/BRY0yZtaYqYwWv8dLW08a3N32b+9+4nwvnXshHFn4k9gp6e33iEhD09vb4ysKQvPvL5l/GQ5c+xJdf+jIvHn4R8MWKr1sS45NFaHvxdopu2QJnnDFkQYeTi3XFxd69vv+FhXEL+ufO/By17bV849Vv8ON3fsznzvzc4Gv0KKNOVEEXESfwELAeqADeFZENxpjQVfA/DTQaY04TkWuB7wIftcPglu4WPF4PU1KmUNZUxouHX+TTyz+N0+HEGIOIAPR53ePpobu3m4ykDI42H2Vj2UauX3J9cH2P07JOo6GjgZfff5n1c9fT6e7kgTcf4Ktrv8qUlCl4jZf3G98nMymT3LRcwDfRw2M8dPV2Ud5UzrKpy3jpyEvcfvbtdLg7qGip4HjrcdbPXd9nbHN5UzkFGQU4xRnWo/3Juz8hwZHAmhlrmD15NiKCx+shLTENYwy17bVsq9rGvvp93LH6DsA37G7D/g18ctknKZlWAsDx1uP8df9fmZo+leUFy5kxaQbtPe3sqt1FZ28n2SnZpCWmBdsIhzGGgycOUtNWw6vlr3LH2XdQ1VbFrc/fyguHXwDgMys+ww8v+WF8P3S32+etlpT4hPGvf4Xzz4+tbFeX739KCmRnw9sDp8UPxufO/Bz/UfIf1LbXUtVWRXFecfSx56GUlZ1s3+mE5ubYbN6yBb7wBUj1L/x1+DCcG8Msz+Hyj3/4/q9fD7/4RXw3T+BLq7/EEzue4La/38abFW9yx9l30Ovt5dCJQzjEQZorjfNnn09GUgb1HfX8df9f+ddF/8q//+Xf+ezKz7J+znreq30Pt8fNO5XvkJOaQ2FmIWcXnc1jWx+jOK+YNTPWsLNmJ8YYluQv4d5N9zI5eTK3rrq1z3fTGMO3Nn2LpflLmZ89n4MnDnL5/Msx+MJKge+g2+O7aXW4O5iUPKmPFrT3tJPqSg37nT/SeITpmdPxGA8uhyv4++zq7eLVslepaqsiJzWH07JOIysli7y0PLZXbef0nNNxipONZRuZNXlWn6Wja9pqaOpq4m8H/0aSM4n1c9czKWkS+en5cX0OsSLRVqETkdXA140xF/mPvwJgjPmvkDwv+PO8KSIJQDWQawapvKSkxGzZsiVug3/w/Wv4cvPTrK9I4pVpPXS4fE3MaXFyNN3D9Dbfh1CZ5mHJCReJHtiW48Yr8MHKJF4tOFkmwL/vT+G5Gd3UpXjJ6BFyuxwcyfTw6X2pXHo0iZvWNXEi2ZDogU8cSCW728H9Z7ThDaNhH6h28U6em17/uXOqErmyLJnNBT00JHl5rcAXj0xzC+cfT2TXlF56HeD0wunNCbww/eQojAQvePzfuzS34HFAZ8JJ2yd1CwUdTvZN6Q3mOac6keITCbxY1M172b50p9d3fY6neWnv994TvHBmrYuFTS66nYa8TgfVqV5Ks920uLxUpp/0JNPcEix/do2LG/el8un9aXF9fgDU18OcOT7v8aqr4G9/g9zc2Mo2N/vCNUeOwEMPwTe+AdOmxW/DUGlogEWL4N134UMfgpdegvwoP87eXqithb/8xVdm1SrYvdt3Q7KbxkaYNQv27IHLLvNd6zivl1sM113QyJ/mdIU9v+hEAk5D8PsWyoxWJ0czBj7FZHUJJ5J93yWXB9wRonWLTiTQmWBYW51Iaq/wyKK+s1cXn0jgeKoHr8CCpgSmdjp5K6+HVpehw2VweSDDLSR6hawuB3un9LK6xsXkHgcHM3v5j71ptCcY/jy7i+05vhuBGMjpctCU6OWDlUnszHL3+R0EOKcqkdcKepjV4sQrBN/nNYeTyXA7KE/vZVNBz4D3lt4j/G76F7j85gfDv+koiMhWY0xJ2HMxCPrVwMXGmBv9x/8HOMsYc2tInl3+PBX+48P+PPX96voM8BmAGTNmrCwvH3x7rXDsfuZRfv76j/lTShmn9WbiwkGFs51ZvenkeVM45myjxtHJUnc2RxPa8GI4qyePJkc3byfWMa83EwN04+FfO2fzs7T9vJ1YyyVd07mx/XSeSj3CUynv45WT12Wxewqfbp/PVydtwY0Xjxjm9GZwT8ty8rwpTPEm8bXMLbyWVEO3ePh4+2ms6cmn0dHNVyf5blpFvWlUJPi8o9tbi+mQXn6fepjVPflM86TSJR62u+rpFi9L3FNY6J7MTtcJusVLinHyYnIlN7TPw4HwWlINexIayfImUeBNxY2Xpxsu4DuZO9jmqme/y+c1Xtsxhwu6pvFuYj31ji7SjYuPdM5ih6uBjUlVLOqdgsHwcLrvsXxObwaVzg5SjJPzugtI9v/vxZBuEngp6TiLeidzWecMlvRmxf3ZBcnIgNtvhxkzYOdOnzDHGoJISICbb4alS33ifs890DGCU9RdLp/t8+f7xPI734GmpujlMjPh3nt9Y+8PHIAf/CCu8MewuOoquPRSOH4cHn4YamrirsKDl22uBna7GskwLrK8SbyaVMW+hGZeSqrEI4b/034a83on8fkpbwKQ6XWxrnsqV3TOpNHRwwXd00hA2OKq5zeph2hz9PJuYh2renL5145ZTDFJbEyq4r2EE7yX2AjAQvdkFron82JyJW0ONze2nU6rw80zKWV8vOM0yp1tzPSkszuhkROObpodPTQ6evhg1zSmmCTapZd0bwKCUO/sYp47k0fS9+GWyN+3yzqnY4BJJpGXkipJNgn8uGk17dLLH1KPsCH5KB/s9v2uGh3dTPWkMM2Tyv9tWc7GpCp+k3qIJJzke1JocvRwzNnGbW2LqXJ28IeUI8z2ZPDrM/+LD3z4liF9nGNG0EMZqoduNe097TR2NfbZkKG5q5lEZyLP7HsGt8fN5adfTlZKFmVNZUxOnkxKQgoup2tAmKG9p52KlorgI5cxhm+++k1WTlvJZfMvY8P+DRTnFQ++gXIYjDF0uDtISzzpDTd2NpKckBx2c+D99fs5eOIgl5x2SUwdla+8/wqJzkTWzFhDV28XgpCUkBSXjcqpS4+nB4c4gqGrv+z7C1NSprBu5rqoZataq8hPzx/wW6poqSA/LT84N6C1u5WqtqrgXrWd7s6w3323x01bTxtTUqZEbLOuvY6W7hbmTJlDQ2cD7T3tNHc3k5KQQoe7gyX5S/qEbzzGQ3JCcrB8c1czk5In0d3bjdPhjBqyC4R8jDG4vW5cDlfEMGcsDFfQx1TIRVEU5VRmMEGPpSfrXWCeiMwWkUTgWmBDvzwbgE/6X18NvDyYmCuKoijWE7V73xjTKyK3Ai/gG7b4C2PMbhH5JrDFGLMB+DnwaxE5BJzAJ/qKoijKCBLTeC1jzPPA8/3S7gl53QVcY61piqIoSjzoLAFFUZQJggq6oijKBEEFXVEUZYKggq4oijJBUEFXFEWZIESdWGRbwyJ1QPxz/33kABFnoY4iY9UuGLu2qV3xoXbFx0S0a6YxJuziR6Mm6MNBRLZEmik1moxVu2Ds2qZ2xYfaFR+nml0aclEURZkgqKAriqJMEMaroP90tA2IwFi1C8aubWpXfKhd8XFK2TUuY+iKoijKQMarh64oiqL0QwVdURRlgjDuBF1ELhaR/SJySETuGmVbykTkPREpFZEt/rQsEfmHiBz0/4+8dYp1dvxCRGr9O0cF0sLaIT5+5L9+O0VkxQjb9XURqfRfs1IRuTTk3Ff8du0XkYtstGu6iLwiIntEZLeIfMGfPqrXbBC7RvWaiUiyiLwjIjv8dn3Dnz5bRN72t/8H/34JiEiS//iQ//wsO+yKYtvjIvJ+yDVb5k8fye+/U0S2i8hz/mP7r5cxZtz84VuP/TAwB0gEdgCLRtGeMiCnX9r3gLv8r+8CvjsCdqwDVgC7otkBXAr8HRDgbODtEbbr68B/hsm7yP95JgGz/Z+z0ya7CoAV/tcZwAF/+6N6zQaxa1Svmf99p/tfu4C3/dfhKeBaf/ojwH/4X38OeMT/+lrgDzZ+xyLZ9jhwdZj8I/n9/yLwO+A5/7Ht12u8eeirgEPGmCPGmB7g98AVo2xTf64AfuV//SvgSrsbNMZswrexSCx2XAE8YXy8BUwWkYIRtCsSVwC/N8Z0G2PeBw7h+7ztsKvKGLPN/7oV2AsUMsrXbBC7olmU6gAAAx5JREFUIjEi18z/vtv8hy7/nwHOB572p/e/XoHr+DRwgcgwNtEcmm2RGJHPUkSKgA8BP/MfCyNwvcaboBcCx0KOKxj8C283BnhRRLaKyGf8afnGmCr/62ogf3RMi2jHWLiGt/ofd38REpIaFbv8j7fL8Xl2Y+aa9bMLRvma+cMHpUAt8A98TwNNxpjeMG0H7fKfbway7bArnG3GmMA1u9d/zR4UkcCu5yN1zX4A/H+A13+czQhcr/Em6GONc4wxK4BLgFtEpM8258b3DDXq40LHih1+fgLMBZYBVcD3R8sQEUkH/gTcboxpCT03mtcsjF2jfs2MMR5jzDKgCN9TwIKRtiES/W0TkWLgK/hsPBPIAr48UvaIyGVArTFm60i1GWC8CXolMD3kuMifNioYYyr9/2uBZ/B90WsCj3D+/7WjZF4kO0b1Ghpjavw/QC/wGCdDBCNql4i48Inmb40xf/Ynj/o1C2fXWLlmfluagFeA1fjCFYFtLEPbDtrlPz8JaLDTrn62XewPXxljTDfwS0b2mq0BPiwiZfjCwucDP2QErtd4E/R3gXn+3uJEfB0IG0bDEBFJE5GMwGvgQmCX355P+rN9EvjLaNg3iB0bgE/4e/vPBppDwgy20y9eeRW+axaw61p/j/9sYB7wjk02CL6NzfcaYx4IOTWq1yySXaN9zUQkV0Qm+1+nAOvxxfdfAa72Z+t/vQLX8WrgZf8Tj+VEsG1fyI1Z8MWqQ6+ZrZ+lMeYrxpgiY8wsfBr1sjHmY4zE9bKqR3ek/vD1Uh/AF8O7exTtmINvhMEOYHfAFnyxr38CB4GXgKwRsOVJfI/ibnyxuU9HsgNf7/5D/uv3HlAywnb92t/uTv8XuSAk/91+u/YDl9ho1zn4wik7gVL/36Wjfc0GsWtUrxlwBrDd3/4u4J6Q38A7+Dpj/wgk+dOT/ceH/Ofn2PhZRrLtZf812wX8hpMjYUbs++9v7zxOjnKx/Xrp1H9FUZQJwngLuSiKoigRUEFXFEWZIKigK4qiTBBU0BVFUSYIKuiKoigTBBV0RVGUCYIKuqIoygTh/wE5Zgvhid4xdAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/numpy/core/_asarray.py:85: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
],
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "GeOf5sS4Fv06"
},
"source": [
""
],
"execution_count": null,
"outputs": []
}
]
}
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