learn_pytorch_38_pytorch实战项目之变分自编码器基于MNIST数据集.ipynb

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    "### 1 什么是变分自编码器?\n",
    "参考论文：《计算机学报》2019.1  自编码神经网络理论及应用综述  袁非牛  \n",
    "学习视频：https://www.bilibili.com/video/BV15E411w7Pz?from=search&seid=3390808955972515947   \n",
    "原始自编码器：    \n",
    "自编码器中，需要输入一个原始图片，原始图片经过编码之后得到一个隐向量，隐向量解码产生原图片对应的图片。在这种情况下，只能生成原图片对应的图片而无法任意生成新的图片，因为隐向量都是原始图片确定的。  \n",
    "\n",
    "KL散度：   \n",
    "两个概率分布之间的KL散度只是衡量它们相互之间有多大的分歧。 最小化KL散度意味着优化概率分布参数（μ和σ），使其与目标分布的概率分布参数非常相似。 \n",
    "\n",
    "变分自编码器（Variational AutoenEoder,VAE）：  \n",
    "可以在遵循某一分布下随机产生一些隐向量来生成与原始图片不相同的图片，而不需要预先给定原始图片。为了达到这个目的，需要在编码过程增加限制，使得生成的隐向量能够粗略地遵循标准正态分布。实际情况下，需要在模型的准确率与隐向量服从标准正态分布之间做一个权衡。模型的准确率就是指解码器生成的图片与原图片的相似程度；隐向量分布采用KL散度来衡量与标准正态分布之间的误差。两部分误差之和作为总体的误差来优化。VAE使用了重参数化这个技巧来KL散度的计算。编码器不再是生成一个隐向量，而是生成正态分布的均值和标准差（若是多维正态分布，会有多个均值和标准差），然后根据这两个统计量下的分布抽样生成隐含向量。因为我们想要使得隐含向量服从标准正态分布，即均值为0，标准差为1，通过优化KL散度来使得分布逼近标准正态分布。  \n",
    "\n",
    "简单描述：\n",
    "Encoder 从图像中采样，产生 Latent space的概率分布，the decoder在 Latent space中采样该点，然后返回一个生成的图像。所以对于一张给定的图像来说，Encoder产生一个分布，在Latent space中该分布中采样出一个点出来，然后将该点输入到 Decoder当中，产生一个图像。\n",
    "\n",
    "原文链接：https://blog.csdn.net/qq_33948796/article/details/89217300\n",
    "参考：https://blog.csdn.net/winycg/article/details/90318371  "
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ovjQ3MvKBE4XsghYfFnWspGKuVQ25sX4yu/Z9tW7MKPsQ1no1Ko+3oa3/ttrBlWnsis+qncbkDvgn8LWUo9H7OOpdYZGDPmu7ALegPQxh4c7/YFprehijvtxFWv4K0WvK0eKLEULYTMdMgNrHcl8oYwCxiCG92Ft5FGfbrmJM5fzK49VYD4pPjejYo69j0XcSBY3e6Lj2TAj4rAOn3WL0G37hHn6afmmGQmvKpBUvgEU36d57AMfPtqN/TOmsniReghAwjLbT18RoVfw87vz0SMfUToJHEITzYKQ1NwVisrzFVOPJFsowX88In0wWi/j1LOGxVu4zjDbdcYdipPkFYmorhXYZHzoBO/NvejmDyUcaPsNoitJosoox+FdcejdngQ0SBJiX+D5wpsMwvsaM+zDydT9KTI10GaUcB3UoSNH2LI/jsM3lV6u8k5lLwQv9gv4mI5n2YtYxONlM8jQUYHZ0Zah1T0dtgmKSkbUPmXqvDUVySNHCZnjSmtyLnU4fh43TcRDUxcgCQYB9qJLRKFj+gVvH8uxd+AMLkTUkmEmVqZ1ywzjEWqvhQuYuhJOb45rNq1FVxgf+gn2GjpQiP8jXCBZMCBA0AV/fgt/vh9/vQ5+jT0eTo1/fiBqr7guRYvKVDrvJtsw0g604ZJoHMB5dj/bRZ/odspPp/MPquQlrAr7CbQHLf+NG33tw+SOHM/qNWXc3p/AKawI68fXtcfH9u9EHR8zv1R/wNe8At1Or3UkAw2R5SwJdJFc0g3zdaj7JL2P2zgQCKlPF5FCIX8sqHmvhPiNpQcBA8wsDbeXKQ/iufoFRwa9L/M4WdP0LT0f+gkvhhIgSgrEEXj3+FR/4TVtiYwQBQb3JmbS3llTRzmJNBBFpTthmob4IHLddc9onOXdyNuzUmheYnc7Qc0yN/R3DA5fRdbIGxXkVaH6/H4OeUUwurCg21UxNtx82235ddfn65BDeratAseDomofidz7HpGB2G4SvuTjiONs1AjHeCaPdEb1xT/Y0FGI0lGjPej0gVhG82Q9nSZ7or1Fci/bhcYNIIUvwu7o1NsR6babhnqwFEoQBGwrr3WnMKiu/S0rHyVhjyjZBYB3Lgf+LLmc9Wrp64epqhbPxMrwBTYz30BxuDxxHlfMMeruaUV1zGq6uDrg+OoMKe8Q5lw964LTVa3xYJDzYejRaq0IRRst3cDml4ACyMCf/Val5WRbnT1Df+aP65F8Pehb6s+l0TIFQsAu2KTRtbx7Bc3inpFlSJKzTsaVnXUbV16PD0nshBD2NsKmi/Sg7eI5xVyXyVFFm1vF87APUHBoKR+8J11i5g4H69yVTzPBdnQt2OvsVmo56pNCWekVYqNZihbZ1FTOeY5F8H/J8cmbXjE4fCd+KhxfLG3EfXtdhlMhBB8J0svnXRDhKK17Am5mvcTis2ZTfv3hmfRJvUa2TBIHKWkGALTJJuy/MSxr5uq4gYIZPMp+yf2GgsQbOcz3oaj6ImnOX0HW6Fx+dq4Jd14n8Ebzd53ChuRb7e0Yw9fC/4GppQ1fvKThqezESDlZgch6NeOz6JIbePYiKYvnbfRh/m2Shsdex4DuJbQzTbWWodvRiZIFtQCzcZ0QJAmwtNoDj8lBceRTtvS64XF1ortgm8tsdLvilUMa6ml8WqldHWyloCWx2yTl4HUv+D3GgugknOz2a738sDR17z7T8yyT2m7TYBggC8kl9AiY7L0fRnl+me7IkqMjsHDjlB55NlrBYmC15UbTzYNzJXMPzCTfaKnajsuNL3A4E8WzsL6gZvI/XyzMYd5/BnsJ30BPO+BtbEBC7e4UpdxMKVXbtLKnKCex3/YQlpfkDI5/ZNB/SmEUY0h3vNFQKVRc34g2PtcAg9u85gb/deoRlfhkzY/+J7pqdKHT+FePaUKQsBvHb72PMwO7akFyLHvBLP8FVni9t5ArSmO1X+vgWaOKwG44jmwQBlmlxGM5dp+Cdkx1rJTV8aSOGwlFoXuHhUD3s4Yg54qmTjfnwLC4qQsPxeDnaiXwjbUWMtco+SMv3PoezaC+aP/07xvzjGPu7C9X2AlS6vsO43487s8pswQzgFcx860LPP2YjGgkt7vwL3L16FhduxjGfET5WZs27tJ3IkTFSqK/TZOxbixhtLzXWaAqOcnmaiBlM+1cMTld4YPPuRWdPbAdefnkCV1sv4+Z8LAcX8R3Pbx+FRiEfe0hpfRobL0H749yFsua/wjc2Dv/Yt3BVF8JW6cL1cT/8d2Y1/iHZiJcUOSgVASubBQH27csEX48SBEzyScGXoSgS2UnQjhahpONHLC49wK1w1Cz5RWf5NS7jjO+JGC6Ws6Ok7brkQC8eMNn1TOzk6np/Y/JYFhnHjfpCG2x75FwXIr9v2v8BxpeUjv8W7jN0BYEmlLTfkA4ReYTmvGgpYia9GnNetlc7bFbzC+DlLVz5JDpKkBqqOBpNZCP/Uo8gk782QBAQmTVn2swCgLBoD2FoWt7IyBBJNmJhSdcBh0P6X10mSsBcFQYEqViuE+9vCPM3u7HHthPOwTvSh4Et2NZIpAbBXngnuKLzGF3SxpCL0X44gUoxGj2/YXH8A+w/bHSSvYx7A63oNJNS3sxpKHOqifvx+BNjXUeiE9aE/sD4x0dQWHgQ3V//hJnlNSzPjOHLtv3GztsxYLDuEY+VXz9DDRME2Ttgq4JrfFGhqbGqJ2lzZbT5jeomiwQBxmTrixC9YRPXYdicTrI95hSn4aKPTbHGBEg66akawrRGeBVgMFyrYgSr1qJdaPHOKDb1Ih15umZ/MrCrCN4JYEGvP1ZkZQZ3Hmi0G3JV5V/+NwxV7dCEJFUWiHOdav04zUc/noXHsQNVQ7/pvtNiXguNYKIrHChbZiea9zG5YLTJ57HyaBIPdPy0lK0A0oZU8b6on2/Erxh4schPrbs0yQgloTZmOM5sw0s+aU30u6aYjywXBIAM8HWtIGCST4prTqm1kXi94Tu0iNHOLvgW10R7dpU5tDSXKu2OpHFo2IOSiiqUFVeje0QT+jgGjxVnmWXWPYkizobCRg9mFn+Ca38z3FN6iTMt2mdECQIMl0OREOihaXgamfWDXRCa1MkLE9D8gh16foZ+rRmQ4vVm709cjWZW8i/VIDL6I/OCwPpdDOy2g9s9IJnHxB+vuCHRUzEzR5N9wsuljiMrMXi2OdzVr47sEKc7fvEG2ops6lTujEkcUfoHSIufU6a1jtOw9Dh82mErQGGFKyo7paqV0CN823kF/4ilOjR7GiowD32tSqTPOXjfu2Jwws/yPXyB9uoSKd/DLjj7fsx8aMAIsdKVrGkRhYHIKUhUwRRusA3GtgScf7NHEBDNeJQfLhkG6SMka9JMCwLS2Aw2gMZrdRkTfRXgyj/G5JpyRx+7PZlaa/6K85i8z1Cq9RMchfBx1Zs71o7kt6LaRABCFA3TTu0J0qMqLr0/poVjVeX0/DDEi8friX7s4g5gYFKtvzB+X60m0Sq8pHa4eLw8Bv1ZLwgw2tPM1zWCgFk+mbggsIonD2awzEsHoKoDFDmnQWRvIzij79kmbZYlYVslPEja/XiHevwixl1VsHF2bCs8ECM3E9N0WrDPiBIEXiPoH0NgmR2URubSVn4lSishvqkmNL+s4FoA197/RmMGpH7XzWk0rVqP6r5z9VfGBQHxQ2XHrj5NqLoYCBoza2mDxmlPLaVNB1eAKqNwo7r9sZejETYuX30KtzSC08cUETKYYOBkZkd6WgrdhhU3I87NpjatoSDuTCqjUyiaYpdmT0NNCQKati36KYb6lG1gY/9NqsvwaQNruxxdYzoxhZNqWK6URkFAiEteEG2nzoRY3f9G4XUlWjUfOHHt6G0mtRuKNQS9rSjcfgGjgvp4BVNDTtijGHfsjbvhWhUOAPI1ZiyyrWYBCrrGoNX3yehb9zfVjbyJ+ks30S6ov43mT3m/QD+Rlzxgw40tKyBtLFQZgSUNqSzcye2k5a9FH9KM4CVtuKIOn6RM0qZN/lIB0iK8oF23MWiymrcABjxJ+U7rX8eg0vhROvl6snySn4W3qQTbO26K5ryhAIZqdqBcx7xXNTDhoCUfO1zjET4n7yPCjt9SEBWb7IQvz7V6f2PIY1UdipmwXaV2cDGTtEqVUt1nRAkCMjEK7Y6tWsrl8gYrfy5iWZmDQygeR/MrNxnzr1mNplXrMSYxOfMww4KAZHdsO2gQf5zhxmLITuGBwvteTKISkZoj6MqCgGZDzsIIbreBSziHgLTJUZ22MKcTF+oU6nlmv19v10YpilAV8yo0C9/pwzh+8iAKWc6EFi/mohZEzBaSeygwvhTUycn1mqFa8olfIWo+ntDY+VpBQhoFASPy2Hwlc9qq+cCJgncsQUBeOyz++lU0NTbB2XAWvRePoqb+A/ii4ppLmyoDjYDhWhXo0pixsNX+1ItG+27j6DSszPx1tBQdUUeoMcIt5n02j0XRwkjMOsqHqdZXtmXiWhCeivRNmYRneeqNhUo4kE8io/uxBk/pQxq1uY7uL2N3DPES12+UeZwQanSHQd4aiWo+CF/LnujADQkPyiq85M1h4troMMnJ8pZwA5m6SCNfT5pPLmGivxWNx4+g4VwPLjYeQv0H/4ibL0PUOKg39BCCpthR6vpZyPEj7yu4sNZAElQ1eWEMeaxqWlYR9J1H7fEW1DGH9KKTCh8xVUFrfhgJAszhvpIddBWiZvCeFBZ3Fh7nyY0JMhIerVXrMdxgTl9kVhBgzqWldtgqzuPr0Z91HANZxIsrqCw8oI6+IyxavdCNsmmQUkhgYfKaYOeYHf60whbZzDzJPgfKDQvb+JyI+BmwjXxbGbjCBoWjpZm2WZllBIZaUC9sVuXoCDtR736gnyTNbLMmyokqTSVOJirlSBHRCbBE4YRlNeEvMNa1OydNg8RMqAWGPgK2cJQLtpZOYDAQJ8OyfCKpOolW4G20VoWPntacYQUz7gbkVcVJlsUvR2e9VXRp+lI4lduuv7E200iq9c30oSrDNrDbdZPY6WZGff2/6NtlF7UrjNbjX+j7cViCpxRJy0AgVA0jYz+M8BJ9fNQmYcyO+BqcebEOpRjh61jWZhBOajxW4SULAinw8hwRBNLK1zWCgGk+yWLv1w4ikIBrICAHSFFGWmN7jZPIK2yFN7gmJEAVrRHkiDjsJZO0flpTPyMeG34vRcfnw/Wf4u7yayH6zh5bGiMwsX71BIGweRIHe+0wHsomoYxP7b2sE6I5PIAMXFi1HjNAaga6yKAgIEUl0Zo7bNuLho4PMfTtCMbGv4OrcrfCSVdCQEh8oZdGWoxyU2XbJzm4vsHK1FdoLCyOboM1xT/FSNsucIVNBo4zzNRmEkPOYhQ6BzHxfA1gDoLVXRh9uY6V4DjcbW+jsPI8vlGGXhROjUrAhRe13sy9xvzN97G/NaIBEFKEM2k5bU6uMh2Sz0RYBSnf1/59htH23YmpfxN1mNZ2mepvIaN0BYqcn+NeXAfHZDuTNUVmP75S+WRO9GUSk/1Yaz9wbCMz8REq8+ox9FB2FlvH8t1PUJMnq2pZp0zgPYiavutC9B4xpv4DLOhoq4TkakYRqIzWqrD29qJmKCAJ52IEofqqLtyI5QMj42HFXyHaRgonqanWT3gM4kFH1El2eGOhMGEUEnkdQ0lBIRyeGaxNfoJ3B+8jof1KQvSxTcqu5EMzJ9SX2cJGeK1jceQcttcMY0p6n+X8ER03NI6YZrtKuJxVeEmHX7bjyZ+oJstbEh5zChXSzdeT5ZNM61TmQN/3P0l5R/zqHCu6Q5a0qJy8T2GJ6X5ER2klIu+fFJBCuz9iv7WmfkY8VuibR2j+B3TtPxPRAPB/YqK/WjB5jmvCpEu/iZtRgoAY/nMPC9OrzPPDLyEwfBSFcfciJvpMqYhV6zElIrKmcoYEARaJ533U1vfjZnAV/PIM/CMeDLpOwVHGbO2ZXaEN2yraMDg2p3OKzxbJLt2TMRU+/9UAAA8nSURBVBa9Inj7U5xqPIWu7nNoOXUFHv9jaBODCoiHYxQrpW6duQg9xcQ3A+hoaULDkUoUF7LYu040tPXBPTIZvTmSBQHdUKXrWBjpRV1FseBkays+hxtCDF8ACzfQLo9fFd9Xh6aUbonSb+zILCl1sDGVmaP0x3XI23MxzZtJ+RRONqMxGO56AO5jTjgc76BsGwuTVoiy6jo4HG1wxz1p17SZ8Md6BQF3GxxCtCwbtpW9A8cxtxRLXo6PfQiN7ZfQe+4wKmu71cIsi8Yw0Y/yqPjqeSiuuayOdS2c7utp6NgYjNcq23wNtbwr5DLoPdcEZ9vnGDMUAtip1jfoPHUO55w1aPn2kQ5f0GAW56egFTOM7hGnMoBU68fvQVtCOkmM0r6w/B3l4IqrUF15CKd6e9HdcREDN3/Dw2/bUF7TglMtH2oCEViMp6Ad2aWJKKWlP9O/jfBih0AvcG+oDc6WC3D1nkWD86zBt0aieeVXeDpPo52tlZb/Z5xPwewQLcMrUe2kDoEJ8xadNhikQR86ncq49RWoY9/J89cxm4oEmla+niqflEKFazfsthLUuEb0g2cI0cbykX/8Mq52nEVX7xk4q45j4LZiryOYtTF7/oiAJyTHs3GwaZIgGvLYhRF0yfmKbG/h1I0n0sQ9wUj721IURfZNOoKuEfmZ/twmfFcrCAjvu5jPQMxdwKI51qFa3u9stCbRsvWYMFJZWSFDgkCqYxcZvDYraNKtBr/BiYF4cWhZ6zxWx95HlcmTtZC/H83euaTJSlvFmJlg09ZrdMOhx7jZdxw1NXWCYGQvOYK+m4+T3OAxG8hzKCl8F4P3TISOjKYmgTtyFKrdkXBoCdROqqhFH2tzfUuxp8tPYHjiaWQ+WLbMiR/wZds+TaIcttk3ylRt0Vp99Qv6T3yJh2ti5Axbgxfz5gZjUCrVbJyp1jcgK95tJnRFZfBlYVDzdcy9YjRmMZ7WZfCNQXMyj/TwSrgdZgd+EcMPX4lRmBSbs4SbkipYh5fo76CfJ8IkdZbyFkkwSThMtxGtmeTrRjQY3WfRb46hvOULTChy6vDLs5i4+QXa9mzXd/4XDk7i5DMSTvltCvNTyZ+S24W2kaea8MEW8VijYSZzXysIJNNGButYtx4zSHQau8oRQUDygN9VF8PJ2CxKbFN3GWdHxBy+sWuxTUiryc0fc+y5EPEliN1wBp9K5lO7LsO/QYm/hMEye8HLLegMq+JZMrVmFHKlaPXNaRhdPHgkcxf72+iMl0QqXlMmn4s22QX62a1NtpFQsVAQ/lsP0uD4rEeFaG5gGLmHbRxU4erEyFe7jGz7mS9Qqmt1JYjpJyyO0B/wNZcYaAP1xmJwb20Sg1X7o3NkGBSPup1q/agGzd5gkUT2q6OfLfrQbNdkwY3XnKV4vkJgsA67JCfHeF1n9rkOXgkT8BK/TzOBWPIZi9LIJNqghXgJGy4utShbVvIW+eTXyFQwIagyz9cTI28CfTvfMtgPSFrjqJNuHqt+F3bEzZskmeUKOL5BKHgdbSXbsKf7ln5WdSt4bEKDj1M4pwQBC9djHFhy5XHuCAII4anvDPZ2/Ki/MMwizmyVewYwJsS3jVfpD/haO+FbVGfj060VCmD4zDACskOMbqENuMkvYqy7LonNtrW0stTg1a0+LCpDyEvOjVxpIkKKnKGwGM6hSSkKQSq0MpOJEfwjoI4vHtWipLqNtteOKpmDNySzoNJz8GlNdQQ1vQPbm75FUDl3QoKmg+jQTXhn0VplSAp2+eWRZH5JobuOpbFe7Gu9jqfKMZhuK9X6pjvSLcg/vY7WvV0Yfc74kKydMjLN0m0ictMCPPml2+jedwa+p0ZJySLdbcSVGq9UKBDtiFUhH5Nozkq8xChgCQqBSdBsusq8Fw3MfCVljd0G8XXTA2UFmVnQOygNZwaOVGax6z+u2YMm76zmUEvKBWBCUOLn/4V+Z5mUSGw/2obHpay8kX4iVxby2EijyV/lkCBg5XpMHrDsqplDggD7Bj7BzfMtuJx09th1PL/1Cf5i9hR5fQL99cOYimvvGMLTf3yID5OmK10vxTqWxvtx+PwPmE9qA2QVXVLyIy4f5X2/CKHSxJbZh7YUXAJqZTEhW5HxSUmiJLOszEc6TAh7LOtyWUKJ8BIlZWPLr2J+4hu4mg7BcfIiXC4XXL3n0FhzGOcGf8C0jiM2P/8Dzh/u108Qk/JaFdEQQuWlYNfPWmHvzOXDvbg5n9zGNdX6qc8r87HqxeHLP2GJZyePjbDv/Rj3Xie+qFPGU9LsnTfLQ1MffBItKPFKorpcRRD+S1Pzg7AUr0zmiZBBiPVXFkrzUtbYbRxfjzU+nWfMf9BzGU019TjZ1Svwyd72JtQ42jH43w/VGtw3M/CdfxcVxXngbMWocFyAd8bCbCkW8VidUSZ+K1cEAUvXY+IwZWuN3BIEGIosmsClK/huzsIFla2zkxJd7ITl7+i59L2+A1NKbSdaWXZE1QoCcjQebVhJg/aFBDMlKKx3x8wsaFA7+rYUmWJ7+00sRT/V3GH5JHqwPa6KV1NtU//kEQp+j0s9f9fPhZHyWpX8A5wetTYiEUxDM/iupz95Z/JU6ydCa8yyqwje6EfPdzMRH46Y5fUepornKua+u4JLYfM+vT6y5V7qeAmn79qILQkNz2q8xMgy0c6jCRFlYWEpBCOXou/UhvJ1C+HYiKZS5rEWEc18HIqbk49kZREZsZuxej3G7i2XnuaeIJBL6BKtsRGQ7UvNhCCVIj5FZ7qN3YX+U3b67UF3zQ5wXBm6xv7UL6a9K5gyFaR8+qVtln4bICAkfComvA3gSfg24ZkAZCE89TbDnrJ/QAJdxisqOZ3We2Y05ifxKqbpuZwZ137ChEbVgIZs4OsGpNFtQmCrIECCwFaZ6awbJ7O7fh+lphK/sWgNTShUxiM2PZ51LM/ehd9/GyNetyZkLQduVz8mTJtYrGJqqA62hOqYJpQKCggwp7m3sL3rNl48HEbtdjnhDsGTHAKEp3nc3mBp9DyKtvdg7MV9DNXq2Xybb83akpJgYubQxNqOjVsT/E04RDLhGhfVf5ItfF2fOrpLCGwVBEgQ2CoznWXjFG1Cd+knflPRyux9uyEkJtHGbk75dx7KB+4mlNWZX7yBtqLdOiHdVETTj6QRYNm3j6Gy4SSaGzpxbTLdoWGTJjRHKhKe5idKzMhaX9mAs81HcfraXbXNt/mGrC8pRK3aoY4eZX0vCbUo+JtwNug7U/MIPZnCIx3fIrGT7OLrCQ2cChMCmwwBEgQ22YTmxHAEm9C3TQgBANZ+hbu1Hg4HS0hi8X9nMs5bawh6W1FUeRX3dLPW5cQMEJGEACGQMwhIPKe8HxMbGQJahRcLl10Pjis2cKZexkT/ebhnXqtqhX9kHV8PU0YXhMCWQ4AEgS035Rs8YObc1HkMHV45Rj6Plen/wZ2F5CK6bMhoBEFmD2qHAglpEzaEVuqUECAEchoBIRzq9v1wZVVUOtFxmeMMsq2/uo3ud69hJvHAVjk9V0Q8IZCLCJAgkIuzlqs0839iov+kIqkYG8grTA5cgHt2LadGxUJndpYfQv/En9nhuJdT6BGxhAAhYAqBRLSnphq0qJCcCXf3ACaj0uws49fBBhxyTxNvtAhuaoYQSCcCJAikE11qO4IA/wL3Bt9FUVkDLrIY9eH/Z+F46xLGVnPt6Ggdy/c+h7O8PToJV2TUdEUIEAKEQHIIsJjnrkOoct1OLYlmcr3HrCUmNuOQd2pEHXqZxdl3n8Ee+2Fjs6CYLdNDQoAQyDQCJAhkGvEt2d8bLI9dQomRc2+NG7O5JgcI88ji6P+Cf07M08nXlnyvadCEQBoRWJnGrR8C2eOwDB5rU9/gtLMO1WWF4DgOtuIK1IV9t95B2TabeL/WTWZBaXw1qGlCwEoESBCwEk1qKyMI8PPX0VJ0JIUTp1UsBEbxZdsBOD2zGaGZOiEECAFCgBDQIvAGS2N9qGLZd3P2QEg7JvpNCOQWAiQI5NZ8EbUMAX4Zvz96lmSG1VXMjgxiYPhTtL+9Aw4SBOidIgQIAUJgAxFgjscl2Nk3gSh3A7NUhRYQGP0CbXuOwRPMocATZsdH5QiBNCJAgkAawaWmsxmBWXgcxSQIZPMUEW2EACGw+RFYv4uB3aUGYUhNDP/NDEY++hjDf2vH21wDCQImIKMihIASARIElGjQdRYjwJL9fIPOU+dwzlmDlm8fJakRkIdIgoCMBP0lBAgBQmCjEBAcj22NqW/ggx44SBDYqGmkfnMYARIEcnjythTpr35B/4kv8XBtFdNDh2Br8GKeAcD/Dl/nu/GTjTV9pknGQ4LAlnp/aLCEACGQhQi8wdLIGeTphiFNkFwSBBIEjIoTAiICJAjQm5AbCKwEMf1kFcAf8DWXYO/gfbxJiXISBFKCjyoTAoQAIZAyAkvwu8qR3z6Kl1JbfNCHTme8LPJONA1O4JWyfxIElGjQNSFgGgESBExDRQWzAoGXo2jPL4fLv5QiOSQIpAggVScECAFCIDUE+N8wVFWKZt8fqbXDapMgkDqG1MKWRIAEgS057bk76PXJAezOO4ORJUkfQKZBuTuZRDkhQAhsbQQWfWi2V2Mw8AyPJmewkgoaJAikgh7V3cIIkCCwhSc/94Yu+Qc4PQgmnYCMhQ/9BC7XWTiK81HsOAuX6xOMzDKzI/pHCBAChAAhkCkEQn4XthV0Y+zpCM5fui2Y+pBpUKbQp34IAREBEgToTcgdBPjH8DYWW+AfkDtDJkoJAUKAENisCPBLP6P/QC2OnezBV1Mqi3/zQ2bhQz90wdXuQDFXCkf7+3B9OILZ1JzIzPdPJQmBHEeABIEcn8DNT/4zjLa/he1dt/Hi4TBqt7fCG1zb/MOmERIChAAhQAgQAoQAIZBmBEgQSDPA1HyqCCwjMHQMlQ0n0dzQiWuTL5C0VVCqpFB9QoAQIAQIAUKAECAENhECJAhsosmkoRAChAAhQAgQAoQAIUAIEAJmESBBwCxSVI4QIAQIAUKAECAECAFCgBDYRAiQILCJJpOGQggQAoQAIUAIEAKEACFACJhFgAQBs0hROUKAECAECAFCgBAgBAgBQmATIUCCwCaaTBoKIUAIEAKEACFACBAChAAhYBYBEgTMIkXlCAFCgBAgBAgBQoAQIAQIgU2EwP8Ha6SfWPWohzQAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2 使用变分自编码器注意的情况\n",
    "1 损失函数：两部分组成，下图，重构损失和KL散度，重构损失衡量输入和输出的误差，KL散度衡量概率分布误差。  \n",
    "2 KL散度的数学计算公式：log函数可能出现负值，使用指数函数代替。  \n",
    "3 由于网络采用的是随机采样，无法使用反向传播算法，引入\"重新参数化reparameterization\"技巧，先通过标准正态分布采样再通过一个变换获取对隐变量的采用。  \n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import time\n",
    "import numpy as np\n",
    "import torch\n",
    "import torch.nn.functional as F\n",
    "from torch.utils.data import DataLoader\n",
    "from torchvision import datasets\n",
    "from torchvision import transforms\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#  Hyperparameters\n",
    "random_seed = 0\n",
    "learning_rate = 0.001\n",
    "num_epochs = 50\n",
    "batch_size = 128\n",
    "\n",
    "# Architecture\n",
    "num_features = 784\n",
    "num_hidden_1 = 500\n",
    "num_latent = 15"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_dataset = datasets.MNIST(root='data', \n",
    "                               train=True, \n",
    "                               transform=transforms.ToTensor(),\n",
    "                               download=True)\n",
    "\n",
    "test_dataset = datasets.MNIST(root='data', \n",
    "                              train=False, \n",
    "                              transform=transforms.ToTensor())\n",
    "\n",
    "\n",
    "train_loader = DataLoader(dataset=train_dataset, \n",
    "                          batch_size=batch_size, \n",
    "                          shuffle=True)\n",
    "\n",
    "test_loader = DataLoader(dataset=test_dataset, \n",
    "                         batch_size=batch_size, \n",
    "                         shuffle=False)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "device(type='cpu')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "device"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "class VariationalAutoencoder(torch.nn.Module):\n",
    "\n",
    "    def __init__(self, num_features, num_hidden_1, num_latent):\n",
    "        super(VariationalAutoencoder, self).__init__()\n",
    "        \n",
    "        ### ENCODER\n",
    "        self.hidden_1 = torch.nn.Linear(num_features, num_hidden_1)\n",
    "        self.z_mean = torch.nn.Linear(num_hidden_1, num_latent)\n",
    "        self.z_log_var = torch.nn.Linear(num_hidden_1, num_latent)\n",
    "        \n",
    "        ### DECODER\n",
    "        self.linear_3 = torch.nn.Linear(num_latent, num_hidden_1)\n",
    "        self.linear_4 = torch.nn.Linear(num_hidden_1, num_features)\n",
    "\n",
    "    def reparameterize(self, z_mu, z_log_var):\n",
    "        # Sample epsilon from standard normal distribution\n",
    "        eps = torch.randn(z_mu.size(0), z_mu.size(1)).to(device)\n",
    "        # note that log(x^2) = 2*log(x); hence divide by 2 to get std_dev\n",
    "        # i.e., std_dev = exp(log(std_dev^2)/2) = exp(log(var)/2)\n",
    "        z = z_mu + eps * torch.exp(z_log_var/2.) \n",
    "        return z\n",
    "        \n",
    "    def encoder(self, features):\n",
    "        x = self.hidden_1(features)\n",
    "        x = F.leaky_relu(x, negative_slope=0.0001)\n",
    "        z_mean = self.z_mean(x)\n",
    "        z_log_var = self.z_log_var(x)\n",
    "        encoded = self.reparameterize(z_mean, z_log_var)\n",
    "        return z_mean, z_log_var, encoded\n",
    "    \n",
    "    def decoder(self, encoded):\n",
    "        x = self.linear_3(encoded)\n",
    "        x = F.leaky_relu(x, negative_slope=0.0001)\n",
    "        x = self.linear_4(x)\n",
    "        decoded = torch.sigmoid(x)\n",
    "        return decoded\n",
    "\n",
    "    def forward(self, features):\n",
    "        \n",
    "        z_mean, z_log_var, encoded = self.encoder(features)\n",
    "        decoded = self.decoder(encoded)\n",
    "        \n",
    "        return z_mean, z_log_var, encoded, decoded"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "torch.manual_seed(random_seed)\n",
    "model = VariationalAutoencoder(num_features,\n",
    "                               num_hidden_1,\n",
    "                               num_latent)\n",
    "model = model.to(device)\n",
    "    \n",
    "optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 001/050 | Batch 000/469 | Cost: 70481.7266\n",
      "Epoch: 001/050 | Batch 050/469 | Cost: 27138.1426\n",
      "Epoch: 001/050 | Batch 100/469 | Cost: 22832.0684\n",
      "Epoch: 001/050 | Batch 150/469 | Cost: 19491.6309\n",
      "Epoch: 001/050 | Batch 200/469 | Cost: 18725.3887\n",
      "Epoch: 001/050 | Batch 250/469 | Cost: 18072.8945\n",
      "Epoch: 001/050 | Batch 300/469 | Cost: 16631.3184\n",
      "Epoch: 001/050 | Batch 350/469 | Cost: 17135.7617\n",
      "Epoch: 001/050 | Batch 400/469 | Cost: 16397.8223\n",
      "Epoch: 001/050 | Batch 450/469 | Cost: 16062.2891\n",
      "Time elapsed: 0.39 min\n",
      "Epoch: 002/050 | Batch 000/469 | Cost: 16575.0000\n",
      "Epoch: 002/050 | Batch 050/469 | Cost: 15454.1328\n",
      "Epoch: 002/050 | Batch 100/469 | Cost: 15663.3242\n",
      "Epoch: 002/050 | Batch 150/469 | Cost: 15733.0957\n",
      "Epoch: 002/050 | Batch 200/469 | Cost: 15152.5859\n",
      "Epoch: 002/050 | Batch 250/469 | Cost: 15332.5166\n",
      "Epoch: 002/050 | Batch 300/469 | Cost: 15415.0879\n",
      "Epoch: 002/050 | Batch 350/469 | Cost: 15640.2793\n",
      "Epoch: 002/050 | Batch 400/469 | Cost: 14797.8105\n",
      "Epoch: 002/050 | Batch 450/469 | Cost: 15036.3340\n",
      "Time elapsed: 0.82 min\n",
      "Epoch: 003/050 | Batch 000/469 | Cost: 14451.0361\n",
      "Epoch: 003/050 | Batch 050/469 | Cost: 14489.3516\n",
      "Epoch: 003/050 | Batch 100/469 | Cost: 14374.0381\n",
      "Epoch: 003/050 | Batch 150/469 | Cost: 13920.7559\n",
      "Epoch: 003/050 | Batch 200/469 | Cost: 15050.7705\n",
      "Epoch: 003/050 | Batch 250/469 | Cost: 14668.7139\n",
      "Epoch: 003/050 | Batch 300/469 | Cost: 14318.6807\n",
      "Epoch: 003/050 | Batch 350/469 | Cost: 14328.4395\n",
      "Epoch: 003/050 | Batch 400/469 | Cost: 14493.5830\n",
      "Epoch: 003/050 | Batch 450/469 | Cost: 13749.8662\n",
      "Time elapsed: 1.23 min\n",
      "Epoch: 004/050 | Batch 000/469 | Cost: 15033.9023\n",
      "Epoch: 004/050 | Batch 050/469 | Cost: 14310.8906\n",
      "Epoch: 004/050 | Batch 100/469 | Cost: 14740.2988\n",
      "Epoch: 004/050 | Batch 150/469 | Cost: 15447.6182\n",
      "Epoch: 004/050 | Batch 200/469 | Cost: 14117.5254\n",
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      "Epoch: 004/050 | Batch 450/469 | Cost: 13602.8711\n",
      "Time elapsed: 1.64 min\n",
      "Epoch: 005/050 | Batch 000/469 | Cost: 14000.3809\n",
      "Epoch: 005/050 | Batch 050/469 | Cost: 14217.2939\n",
      "Epoch: 005/050 | Batch 100/469 | Cost: 13997.3857\n",
      "Epoch: 005/050 | Batch 150/469 | Cost: 13916.2285\n",
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     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "Time elapsed: 22.58 min\n",
      "Total Training Time: 22.58 min\n"
     ]
    }
   ],
   "source": [
    "start_time = time.time()\n",
    "for epoch in range(num_epochs):\n",
    "    for batch_idx, (features, targets) in enumerate(train_loader):\n",
    "        \n",
    "        # don't need labels, only the images (features)\n",
    "        features = features.view(-1, 28*28).to(device)\n",
    "\n",
    "        ### FORWARD AND BACK PROP\n",
    "        z_mean, z_log_var, encoded, decoded = model(features)\n",
    "\n",
    "        # cost = reconstruction loss + Kullback-Leibler divergence\n",
    "        kl_divergence = (0.5 * (z_mean**2 + \n",
    "                                torch.exp(z_log_var) - z_log_var - 1)).sum()\n",
    "        pixelwise_bce = F.binary_cross_entropy(decoded, features, reduction='sum')\n",
    "        cost = kl_divergence + pixelwise_bce\n",
    "        \n",
    "        optimizer.zero_grad()\n",
    "        cost.backward()\n",
    "        \n",
    "        ### UPDATE MODEL PARAMETERS\n",
    "        optimizer.step()\n",
    "        \n",
    "        ### LOGGING\n",
    "        if not batch_idx % 50:\n",
    "            print ('Epoch: %03d/%03d | Batch %03d/%03d | Cost: %.4f' \n",
    "                   %(epoch+1, num_epochs, batch_idx, \n",
    "                     len(train_loader), cost))\n",
    "            \n",
    "    print('Time elapsed: %.2f min' % ((time.time() - start_time)/60))\n",
    "    \n",
    "print('Total Training Time: %.2f min' % ((time.time() - start_time)/60))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x180 with 30 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "##########################\n",
    "### VISUALIZATION\n",
    "##########################\n",
    "\n",
    "n_images = 15\n",
    "image_width = 28\n",
    "\n",
    "fig, axes = plt.subplots(nrows=2, ncols=n_images, \n",
    "                         sharex=True, sharey=True, figsize=(20, 2.5))\n",
    "orig_images = features[:n_images]\n",
    "decoded_images = decoded[:n_images]\n",
    "\n",
    "for i in range(n_images):\n",
    "    for ax, img in zip(axes, [orig_images, decoded_images]):\n",
    "        curr_img = img[i].detach().to(torch.device('cpu'))\n",
    "        ax[i].imshow(curr_img.view((image_width, image_width)), cmap='binary')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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WgFPIS9f9VLvvvrt5ebqhWkfP43ck6QqAG264wezV3WWKu+gpaC97+fLlpjopvUXcK5K3cemllwKpk0Z6LZN7kboaeUWrVq2y021SC3Vc/L777rP4h+1FSkJDQ4N52bm6u6y4uNhUwI4onw0NDXYMWTFFOrGWBJqbmy1OUUpEU1OT1ZX6qU47vf322xaPo/Z73333WfoAtVupxPfcc4+dKMrVcXL1lT/96U8A/PSnP7XyyiNXktWmpia7G1EK04IFC+weU51w0rg1btw4dtllFyB9HVdBQUFWVPHWijWk62tbPx9FkSlRSqMyffp0+zvf+c53gLQ6ngs0tusEd1VV1Xa3H9moBJaPP/649V2pW9OnTwdSileuxhSNnx9++KHN5dpxOP744zn00EOBdPtSu2xubra58qmnngJSJ/N0ulttXH/riCOOMHWrq+/iTeYqoxWVlZUW7HnZZZcBWP6ITz75xDqDMvIuWbLEjp1roEja1p7QQq9v374mpetIsi5bnDt3Lq+//jqQ7vjNzc2W9VadrqehXDulpaWWOyt+b5eex3nnnQekO0ZxcbHl7cnlQkrlkx1nnHGGHbnVRHrWWWcB239HVxRFbY7vjh8/3vIUZZv4HZcavBQ0rj5WUFBgg70WTTokAptvUSaFgoIC9t13XwDbgrvnnnts8JZtuu+xqqrK6l2vKZgV0gHKN998M5A6lp2LsUdlXLZsmU2kV155JbD5/XgHHnggkM4dVFRUZFt5an/Lli2z7RHlRdP4O2fOHFuEKX3L9mz95gptz6ru1q5da+1Ah3hyGSKhNhPvW9tDFEVt7kfMy8uzbVu19f/5n/8BcmurHJLrr7/etuW0aBo0aJCNF1oEqm2vW7fO0o0o79vixYvNIdJX3VN74IEHtsm3Fe+bnRFdfGvPcRzHcRwnQ3qEIhVCsGBCScw33ngjkFqVKlGXFIt7773XPCxJeUnLfN2aEIKtiCWfH3LIIUDKu5A6JdlywIABbTz8XEmzmaKbzSdMmGBHz6V8rF+/nuuuuw7Aku3Jvt13352vfOUrQPaUxtZ3F7a0tFhdaDvy3XfftXambVYpU42NjW3qZ0tll7d14403cuuttwKY+jZ58uScKasq1+OPP861114LpLdc1W7HjRvH5z//eSDtZT733HN255m2KBXcraPquUbeuLLMn3322VZ+KcHyYCsrKy3B6G233QakVBopBwri1nZetuurtUo6c+ZMs0GhAqNGjeKUU04B0lt6UrUrKipsPNFzCSFstn0N6aSQs2fPNgVLCS8VhpFkpEgp2L6qqsrUGfXZJNBRlUR1JrV4wYIFFrCtcJDS0lILDVBS2VymAlKbUkqGOXPmWH/RoYbXX3/dxlkpnZ988gmQuiFBB3iUziF++EFphKSOx29q0JqhtLTUtgrVhzOZR12RchzHcRzHyZAeoUhBOohQwbxagc6dO9e+l4fc1NRke6ZaZcr7TcLN1u2hFbGUqcmTJ1ucg+4Zqq6utv1kvab4mW0FXCYBeU/yCiZOnGgev667mT59ut2tJLS/feWVV2Y9qWPrI9QNDQ3mNSlZZUFBgSkyutdL3nl+fn4bVSuOnsnMmTOBlI2qRwVnb08izO6iqanJ1BrFYKjs9fX1Fjsjjzc/P9/6nFQAtdukIQWmurra6kqxGlJdnn/+eX75y18CaXW8rKzMVDolUsyVcqgUIbqXcuHChda3dOT7pJNOsjYrrz0eI7OtsmtMUhzR008/bc9Bffeoo45KdAqWpqYmG08V+zVq1CiLF4tfywLJja+FtFKqa1QUPL5o0SJTX6TIAHYNjHYDNI5m637EOFJP1VZXrVrVJg5q5cqVFjOs+V3zRkNDwzbjLTU+K9bvueeeszFIY+vOO+9saR8Ux5rJc+gxCykhYw877DAg9XA1UOvBPfnkk9ZBdKmtcmmceuqpid/mE+rIixcvtu2QM888E0idQNCgpolJd0UdeOCBiQ74VGeRLFtfX2+nLnTaLZ55Vycwr7rqKiC91ZUL4gspLWwUDD9kyBCbmLa3M2px8uCDDwKptqztQbX1XMrw6mMnnniiDUIKYtWprcGDB9tiXoPT6tWrLbBVQfPadk8ymjxlq+rn5ptvtjYaX2ypTeZq0m29TaItqzVr1nDkkUcC2N2V48aNyziwVr+nOqyurraxVpNUUonfOqBs5coTNmnSJFv8a3zSfFJYWJjIxVRzc7M9+9mzZwPpbfN169a1yfkVrx+1Ezk+U6dOtYWkbgXp7oWVtvo1N9fV1Vn70vYdpBdQ6oOyq6ioyE7faV3Qp0+fzQ4sQfry4srKSpsjdSp32LBh9nc7U8e+tec4juM4jpMhPU6REpL+9t13X8uJIa9swIAB5tlL2Zg2bRqQOhKpQMukB2dLhr3mmmtsi0H3YFVWVprnpBQACgBdsmSJeZ9J3MqU1yTvoK6uro1Em5eXZ16GAtE/+9nPArmtt3gWXpVD6ktFRUXGqpG8M7XX/Px8vvGNbwAdz4TenWirZtiwYZaqYku03g6prq6256P3dLddT0DbIvL4H3nkEbND3vOJJ56Y8/s7tfWozM2/+tWvgFT/1/iorfGu6D/qr6WlpVbX2oJO6rgq9eamm26yseWMM84AUqlFpPBL8VDdV1RUJGocjavi77//vn0P6ToeOHCgKfnqu/FtXimtyuY/Z84cSxMgBXns2LHdWpdqswqQLygoaKNojxw50hRgKUey69xzz7WtdNlTWFhobVNbm9rufuWVV+zmAT3DN998s0vuu3RFynEcx3EcJ0N6nCIlz08r1/LycluFa1V6+umn23Fe3W6u48CzZs2yVWw271DaHrQnrID5wsJCfvCDHwCbH82VvXoWJ598MpDK8qojo3o2SULZa+VhxNWo+P1ZuqE7ScqM6Nevn8UcdGZvXbYrfkge5m677Wb1mcT4jK3RuqxFRUUW76B2/dZbb2W9XJmigxy6S2/9+vVt0pSsW7fOlET1T/1MtupOsXkaEwYNGgSk2pfaqcoYT52yvWgnQAG89fX1ZrPiMuN32iUBKRPK2N6vXz/bldhnn32AVF3q2am96vcgrerkWnmE9JjR0NBgBz6kouk+uiOOOMJiOBUPtHz5chtztduhsXjevHk8+eSTAJbo+ec//7kpQ92BFEJRWVlpdyXqRogxY8bYM9fOi9pZdXX1NmP99HP6vfXr11udqo5LS0utTXdrjFQIYUQI4d8hhIUhhFdDCN/Z9Hr/EMI/QwhvbvraL+NSOI7jOI7j9EA6okg1Ad+NoujFEEIF8EII4Z/A2cCcKIquDSFcDlwOXNZ9RU2hVaNWmyEE88aUEr6ystLe1x6wbvZeuHChrYSTpkjpWKfiu5Rg9OKLL97mcX+t2HXUfsWKFeapyKNIQtxC/BQipL1bSMdy6YTFKaecYrE43ekVbS9qf/E755SgsaSkhDFjxtj7sO3n3tLSYskqf/aznwHpWIfLLrssUQpcpoQQLBZCnrSeTRRFiVXb5OH/4he/ANKpDpqbm02JkupdV1dnyVN1Qm7cuHFASsnIpoqx8847A+n74h577DE7Eau2NmXKFA4++GAgnahY9RC/5iee8kN9VQk5dXx+xYoVVp86LZWUOtV4+uyzzwKp1BUAe+21lyUPVZnz8/OtP0vNVwznwIEDbW7R88rVvYmQjt1auXKl1anskDq40047bbZrA6m2oXqUOqzxasmSJTYu6zT1BRdcYKk+NP90Zd3qWarsa9euNSVVfayystJ2VVqPqe3VgcoaH7P1DBWXVVFRYX2mM7a1u5CKomgVsGrT9+tCCAuBYcCJwOGbfux24FGyuJCSXBlCsMlHjaS0tNQaigJb9QBra2sTddeXWL9+PbfffjsAf/jDHwDsvq+99967Q5WshlZcXGwpEbTIHDVqVM4HOH2+OouO2TY0NFjwpzrNnnvumfhLmDUQaEJdsGCBSeVaBGkwq6qqsnYnWXn+/PmWf0gLfU1wSQhg3hLxxU9H8uw0NTWZ46IBMMmpOYRy12jBoEm2uLjY0j2oby1atMhyKGnRqHrv169fVutR2znHHnsskMpcrnxsf/zjH4FUwLwcFo2jOvo+evToNnco1tfX22Xx9957L5BeZBQVFVl+qtGjRwPJuCi+qanJFga6T0/1sP/++9tEHd8m03aXfl7O6OGHH05NTU32Cr8V1N/iWfcVsqI+qDbZ1NS0maMKKftb/5zaQUVFhfVPhRc8/PDD5szecsstAF2av0/pJnSDR35+vm1Da8FeVlZm7VDbq+21r9Z386keFy1aZIHn6t8HHHBAl4S/bFcPDyF8CpgAPAtUb1pkabE1aCu/c14I4fkQwvOqoN5Gb7ext9sHbmNvobfb2NvtA7ext7Aj2Cg67DqEEPoA/wtcFEXRJx1VN6IomgHMANh33327LApRgYGNjY22BSZFJi8vj1mzZgHw0ksvAektk5qami4PwO6MjQoAveiii+yItTyDeDm1yt6Sd6v3pEI9+OCDtqLXav7666/P+AhvV9eh7rSSArds2TILAtTzGDp0aFazI2dio/pAPAO9thO0NaSv69atM3X0rrvuAuCJJ54wmV4JDr/97W8D6W3qrqQr6jGKIrNRHvK2EtyuWbPGbFT7UxLE7qCr2qrUCXn16pMlJSX2mjzepqYmq2cpi1IKDjroIOuz8b6bqTrcnn36DI2PAwcOtFQokydPBlLqgkIepDRp7Ni4caN5/Nr2CSFYv5TipqPyhx56qB3ekdLYWQWuM3UYvxPw0Ucf3ew9KceFhYWmqMX7p5KY6jCEtmfHjx/f5bdFZGKjbNPXjz76yNqi5gqppfGdmta/p/ch3a732GMPC1FQuy4oKLBUNVJ1tkeRas9GtbPTTjvNbFB6Am2lr1ixwlSqvfbaC0irqHGFTV+bm5vNbiUM1i7Byy+/bOq4djv233//Lgl76VCLDyEUklpE3RlF0X2bXl4dQhiy6f0hwJpOl8ZxHMdxHKcH0a4iFVJLvVuAhVEU/Tz21v3AWcC1m77+v24p4VbQara4uNjS3Ovr7Nmz7cZrBZUpYPnYY4+1hF65RJ6Q1ImHH37Y9r7lCSpGCtLp/ePBofJG9HtSPN544w2WLl0KpGMfFi1aZMHorQNMs42Si8pDamxsNNVC3tDgwYNzHtO1veTl5dmzbR2H19LSYt7cUUcdBaTqRt6VFCh5XUk4HLAl8vLyLIZC6oTaVVFRkdWp3ps7d649C/VZxZsktX6jKLKgXSkv8+bNA1I2to7T3LBhg9mrPilPvqqqyhS4uCLc+jh9dz2LEII9d9XTD3/4Q/PMpUKova1evdrasBSmyspKU2QUgyWlu7y83F5LQkyfxpFnnnmGxx57DKCNsv3000+bAq5A7MbGRqtP9U8dwe/bt28i+qPaiJ73fvvtZ3FGqmOpbuXl5W0STebl5bVJJqsYqS9+8Yt2KEHzSXFxMePHj7fvuwvFyh555JEWW6gYpg0bNpjCpHEnnjBVzyJ+tYwOC0iR1OGt2tpa6wNSwfr3798lOx8d2dqbBHwFeDmEMH/Ta/+H1ALqzyGEc4F3gFM6XZrtQJ22srLSgne1KHn22Wdt+yF+YgHguOOOS0SnECpnTU2NNRRlIhZRFFnjiW/xqVOoISjY8wtf+AJ33303kO50paWlibnMON55AW677TZbQE2ZMgVIBesmdaLtCK0nlRCCDRiHH354m5/T1yQE6raHJhxNWlrA9+nTx/qiBuVZs2bZQKgFtNppUgkh2Emic845B0gP9u+++64djJBztnbtWjtcoMziqs/a2lq7S0yLrPLycpuYOnNRaqYUFBTYol5ft7T9I6IoanOwIAmLpjh6tq+//jqQ2sZRYLH6lBZWFRUVtpWu+tpll12sjrWQzHYusPZQHejZDxs2zNqgyiyHLF7mbW0pa+4YM2aMLSCVoX7QoEHWPrTA6Q5UprKyMpv7NC+uW7fO6lFji+aKkpISmw/jDpy2qXVKU+PTiBEjOOGEE4C0w1pcXNwl9duRU3tPAFv7pCM6XQLHcRzHcZweSvLd360Qz3siz0HbX8XFxbbSlqx+zTXXAGk1JNeofLo776KLLmqzMm5vpSxPQ39LMu8555zDqaeeCqSDt11kbUQAAAT3SURBVIcNG5YYz0reuLJFT5kyxWyQN9Qdwda5JISQGEWws0jlVWBrPPhV2wJSWL72ta9x6aWXAumA2K48Qt1dyMNXgLY8/wULFljgrcaSXXbZxVJ6qN3qmUycONHCC9Rfq6qqrC0kRdlpHbTb02i9ZVVXV2fB4kqFI9WwpqaGww47bLPXysrKrM0m6RlsSSmUChMvc0dzK22NiooKu9NUis6QIUNMpevOrT3VWUtLi40t+lpVVWVKtpSo+DPRa9par6urM5V37733BtL99LDDDjPVLZ6HsivqOxm92HEcx3EcpwfSYxUpUV5ebuqLvIyXXnrJ9sx191A8gWeS6A5PMJ7tXV+TiLxyBfQ6PYvWcT0DBw40D3/ChAm5KFKXof4oj1yHNg444AAbWxS3GEVRG2Ugrm5IbU2aCtWbkKohFUo3BfR0tjQ/SK2BjiXF7ejnqO/qa7bb6ZY+Ly8vr0PB4JrfR44cac9E6lP8GXbX/O892nEcx3EcJ0N6vCIFaW9EMRhdnXDTcZwdm7i3LLWpozFvvS3ez0kOXamw9BaltHWy0WzQO56c4ziO4zhODvCFlOM4juM4ToaELSVg67YPC+F9oA74IGsfmjk7sXk5R0VRNLC9XwohrAMWdVupupbttrGH1yH0fhs72k53BBu9LyYH74tbYQexsXf3xWwupABCCM9HUbRvVj80AzItZ0+xD3q/jZ0pp9uYHHp7O4Xeb6O30+773WzS29spZFZW39pzHMdxHMfJEF9IOY7jOI7jZEguFlIzcvCZmZBpOXuKfdD7bexMOd3G5NDb2yn0fhu9nXbf72aT3t5OIYOyZj1GynEcx3Ecp7fgW3uO4ziO4zgZ4gspx3Ecx3GcDMnaQiqEMCWEsCiEsDiEcHm2Prc9QggjQgj/DiEsDCG8GkL4zqbXrw4hrAghzN/077gO/C23MUd0lY1JtQ96v43eTt3GVn+nV9u36XfcxhzRlTYSRVG3/wPygbeAXYAiYAGwZzY+uwNlGwJM3PR9BfAGsCdwNfA9t3HHsTHJ9u0INno7dRt3FPvcxt5jYxRFWVOk9gcWR1G0JIqiBuBu4MQsffY2iaJoVRRFL276fh2wEMjk1mO3MYd0kY2JtQ96v43eTreL3m5jb7cP3Mac0oU2Zm0hNQx4N/b/5WRY4O4khPApYALw7KaXvhVC+E8I4dYQQr92ft1tTAidsLFH2Ae930Zvpzu8jb3dPnAbE0MnbczaQips4bVE5V0IIfQB/he4KIqiT4DfArsCewOrgJ+19ye28JrbmGU6aWPi7YPeb6O3U7eR3m8fuI2JoAtszNpCajkwIvb/4cDKLH12u4QQCkk9yDujKLoPIIqi1VEUNUdR1AL8npREuS3cxhzTBTYm2j7o/TZ6O3UbN9Hb7QO3Med0kY1ZW0jNA3YPIewcQigCTgfuz9Jnb5MQQgBuARZGUfTz2OtDYj92EvBKO3/KbcwhXWRjYu2D3m+jt1PDbez99oHbmFO60MbsnNqLUlHxx5GKin8L+L/Z+twOlOsQUlLjf4D5m/4dB9wBvLzp9fuBIW5j77cxqfbtCDZ6O3UbdyT73MbeY6NfEeM4juM4jpMhntnccRzHcRwnQ3wh5TiO4ziOkyG+kHIcx3Ecx8kQX0g5juM4juNkiC+kHMdxHMdxMsQXUo7jOI7jOBniCynHcRzHcZwM+f+2hg4FXDgNtAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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e1q9fbw9mJbMqIX/t2rVWWuAzn/kMkCTq5Sdrt5egtz3R9VaFay2klixZYrWwlGB/6623Wp9fc801AHZIcymVA9C4Wrt2rfWTQrgbN260PlZpgFIOL8yaNcvCVxqnw4YNs5BCfig6LQ8ntUuh5hij3W9aSGnxNG3aNAsL6aG1zz772MJCzoIWHI2NjfaakpmLVc1ctLS0tDlTdGt9oXIJesCdf/75QGndi3roPvTQQ5akrPE6e/ZsHnvsMSA7B2kMX3DBBZx55plAep05hfHOOussIHk+KIVCz8DJkyfzq1/9Cij+GGyP+vp6c0BUDqaqqoqDDjoIgKOPPhrIpkY0Njbavat+bGpqsudMfti6qqrKXsuvR5n7WiGU7qztOI7jOI5TZFKjSHXkEYUQWp2pBu177rmKi94nT1FeRm7Budy/mQYlQO1RiO+CCy4AEg9S4SBtO16+fHmrUCZkvcU1a9aYd3XkkUcCSbHO/O2fPW2z7FNRUSVY9+/f39SARYsWAYkXpe+vvPJKIFtV+dprr02lR9Ue8njeeust66d///vfQHJGWzmELaW0Pf/885YYqr4eOXKkKYu5CdtpIXeTh+zYvHlzm239UnsrKiqsSKe+7r///majxrEUqRijKXIK3xYzfQBaJ8xLdeko6XzlypWmpmm8Dh06tNVnphn15Z/+9CcgUQ1VCVvhu4qKCivOqXlGSs5rr71m8+9ll11mn5EmpMJovl++fLmVw9Ez47HHHrOwmM5OlJJVzH6UErRgwQIeeeQRIHsv1tbW2hl4uaFWIUUq97QSPRv0M32tr683lU6h3aqqKvvcrlyD4q8eHMdxHMdxSpTUKFIdEUIwD2BbVRStMvX7lZWVbZJL06BG5SLvUN5fQ0ODtVWr5969e5uyo0Jl8qRWr15tieRSQdKEihvKy62rqzPvXp7Co48+yqRJk4DsJgKVvjjppJM44ogjerTNhaKxNWjQIF577TUgm6shL6pUkZqh89pWrlxp6o6UqW984xumPHaUELq9kVeq9qlfNm/ebP0hz72hocHaKnVYyeRnnXWW2SbPuK6uzq5Fruqjv6OCpMrLKTa5aoo8f3nxVVVVZoOuy9lnn22KzGmnnQZk1bg05JZuDbVdpVVOPPFEU4oV6TjqqKMsB1PXRMcdTZs2zQpBK19Hm3jSgvpM4/TCCy/kgAMOAOCKK66w9+nYMSngEydOBJL5qVjPQeUh/uIXv7CyB2rfkCFDLKqk13RvxRjbKKm5+c75m7HWrl1rz0jNA5lMplsUqVQupPIXOtC5829yL6BuFIX09PsbN260jmiv0mkxya0kDNmw0KpVq+xQW00Ko0ePtslPrymckPuA1qSfW7292HK8NgpIhu7Tp0+rxH9IQkKS37/+9a8D2bDfPffcY9Xs015rSjf/iBEjbIJWyGDmzJmWZK4JupTQwlBnQ37wwQc2eY0dOxZIwl4KbaUhfKl6dGrT66+/bgfYaq7Ye++9LXSVf/h5JpNpNzUgP+lVC7GWlpbUnTGYyWSsnZortAMxN41CD9033niDE088EYAbb7wRyDpvaXNCc5Ftr7zyCpA92/Ojjz6yEI8WGYMHD26TiKzDwseNG8cvf/lLILvpYPz48anpz1w0H9bW1trYzT18WnWUZIf6eMKECUXr01dffRVIdmzrHtQYrK2ttV17epapfZWVle2GpDUHabEkUWHWrFl2/+cKE1p8doX03gWO4ziO4zgpJ5WKlNCKsqWlxTzCjsokyCtsbm62BEO9T6vSGKOtdoutzOQSY7SVtCR1neA9depUpk+fDiT1iCDZHppf0V3/r6urs3CKbG1paWlT46fY9ktSbc+rqKystPpgqielcglPPfWUeZtpr1Ek+vbty4EHHghkt5LfddddPPnkkwC2vbrYfdIZdC+per7GXYzR6mCdccYZQFIDZltrFm0P9Ld1vqO89enTp9v9oNcGDhxoYXXNO7Jha966arlprIYQOPzww1u1IQ3IDs0PGpubN282tUJzzfXXX8/XvvY1gDabCdJKS0uL3Vs//vGPAUx5rKysNLsV7quoqGgzLyoEWltba0qOrtuGDRtMWU/TtciN4qj/NFcOGDDAxriYNWsWkFQN15jvKdTWhx9+GEhC61LUpBhPnDjRSvjkl+v5pJpR+c9Rnfhx9913WxhRf2fw4MGMHDnyEz+vs7gi5TiO4ziOUyCpVqS0Xfq9996z1aKqkLaXfJ6bUKqkZeWlaIU7ZMiQVMW2tSr/+OOPzVuWYjFz5kwgUaaWLVsGZCsnL1682K6PcqnkPQ8fPty2t+p8otwt58XyoKQSSmns7Dlf8pBlb26+V0/RVRWvoqLCvCD14bp166zP0uTVdkSM0cpRzJ8/316DRMmZMGECkL1PIdvv+Zs7Qgg9brfugxdeeAFI8jOUg6G8ppqamjanHmytnfL+lZSsxPW6ujq7JmkkPy+zT58+NibHjBkDwGGHHVYy5UY0xpYtW8ZFF10EZBVT2Tho0CB7fihnprq62t6nzTAqU/Lggw+auiFyNy2l6d7NjTrIDp1y0b9/f7sXFeHQhqViVG/X9ZMqFmO0+1MbMw455BC7L/Xc0L1WU1NjfaqyIxs2bLDnqGy8//77gWwJE8iW77j44ottM0hX2KoiFULYPYQwI4SwMIQwP4Rw1ZbXdwoh/C2E8MaWr+muPe84juM4jtPNdEYSaAL+M8Y4J4TQH3g5hPA34JvAEzHGn4UQrgOuA67tzsYpF2P+/Pmtsvih9Y67/HLv77zzjq1Q83cupG2nnmK2f/zjH3nooYeAbBmD3CM1tDNP8e5cRUY26biRc845x45hSUscv6WlxdRBfdUuERWFy0f9L4VOjBw5MlVFHTuLPCnlz+y0005WpLFU+PDDD011yT9mZMOGDab0aCxu3rzZxm6uKgzJmVk9dcSIxr9yYrRb6Z133rEda8qDiTHy1a9+Fchu89d4a2+XaHNzs+0C084wvf+cc84xr78UiDFaYUrtNiwFNUpzpebOL37xi7Y7VmieXLNmjc1B3//+94Ek6iHFIledg2THrcaz1J3c3ZtppKKiwu4z5V/OnDnTCl7q2ij/VOpVMZBC39zcbHO+zsKbNm2aKbpSBXW/Dh061PpMz4gVK1bYGNDPFMmoqKiwe/wLX/gCkFyb7piDtrqQijG+C7y75fsNIYSFwHDgy8CxW952N/AU3byQ0sBfsWKFXRTJ8Logzc3NFsZTKGzBggV2OOHo0aOB9FWi1aJPNXhuvvlmG0RCE1hDQ4MNBlFdXW3bNpUIqkMdR4wYYQ+ttJQHaGpqsgE+Z84cIKm2DslDN7+dmzdv5oYbbgCwiV19ePnll/e4XV1diMYYLdyj63DooYfa+CwVNm3a1GbTgqivr7dJTmdixhhbnWcFWdn+lltusQmtpxb6CjkefPDBQJLoqrC5nJo777zTEpNPOeUUAJtP+vfvbw9QbdVeunQpt99+O5BNaFaC7Le+9a1UpRJsjebmZptbezr5uCvoGfDd734XyJ7VloueJ/X19TafqoQHZLfNa57Rddh333259NJLgWyqRNqeJ0L3UUVFhY07Le6nT59u50Rqoa+FoYSKYqAF+5tvvmnOmUKukyZNsmek5hHdf1VVVba40u8BbWq6KYVkt912s/lG/akQX1fZpiV1CGEv4CBgFjBsyyJLi612WxRCuDiE8FII4SXVOSo3yt3GcrcP3MZyodxtLHf7wG0sF3YEG0Wnk81DCP2AvwDfiTF+2FkPMsb4O+B3AIceeminMoT12ZLcRo4caQlkuUmckHiRUqJU+bpPnz62/bonPIdttbGlpcXsufvuu4EkWS7/fK9c70IehDzqK664wsIPUp9yt2h3p4dfSB/m09TUxBNPPAEkhdcgW3X97LPPthCkVLkbb7yRP//5z0DWLqkDxx13XEF2dER32NgRDQ0NTJkyxb6HJGyU60ltb7rDxkGDBplXpxCf7GlpabHv81UoyHqSUpenT59ufdld9+nWbJQqoWKwV155JXfccQeQDRmsWbPGQiAKGag8QL9+/WwOUnho7dq1pkQpTH3yyScDSSgxbfdiRzQ1NVkoslihq221sbGx0dqquXDnnXe2cJ+K96oa+YwZM+xcUinCu+66a5t5Rme87b777vYs6q7NIT3Rj1LbdO6qwmWQDVuecMIJQOc3/mwLW7NRfXbJJZcAyf2n56KehRs2bGg30R+S+UZ9nPszzSX5yfaXXnqpFT7Wc7S7xninPiWEUEWyiPrfGONft7y8KoSwy5af7wK81y0tchzHcRzHKRG2ugwNydL7DmBhjPGWnB89DHwD+NmWr1O6u3FSYcaNG2cegbbCq6z8fffdZ8m78hamTJlihQHTmBAYY7RkeBWdVJ4GZFfcSnQdOXKkJY+fd9559rO05D91hurqarNL24rlMd1+++3mWSjX4eOPP27V/wC33XabfVbaUf6Q7Fq1apV5htowUFlZaX1cKlRVVZnyK5VGCuPcuXPNe9R9l9tXykfQGYsTJ07s8fwhKQlSLs4880zLl5Ji+vjjj9txRErK1f0ZYzRvOfd0eW2cGDVqFJBVvKqrq1O5Tf6TyGQylptZCu2FZExqHE2ePBlIVKrcY31yueqqq6zvZGOp2NpZGhsbmTFjBpAt/5Ab2bjqqqsAuuV4lK5y9NFHA3DTTTdZ/7388stAomx/UqQmt8i0IlTjxo3j2GOPBWhTimWnnXaycZJ/JFlX6YyedxTwNeC1EMLcLa99j2QBdX8I4SLgbeCsbmlRDjKytrbWJjstPCTDH3PMMRx11FFAdoIeO3ZsKhdQIpPJWI2Wn//850CyO0ELQh0kqR1ddXV1Jld2R8cXY2LPZDKWDP/iiy8Cic2QnBGoBEGFRkaMGGG7Tb7zne8A2Z2XpYAmaoV/pk6dagmUWjxdeOGFRd0tUyhq8zXXXAPA1VdfDbQ+USD33Mvc5FBo/WAr1n2qv1tTU2OLn9yq7AqDaNGfm1qwePFiIBseGTx4sJ0tqHtWuwNLxdnR/dfc3FxSyfH5yFnbWqgqzc+H7qCqqsrCltqMNG/ePEt5kUOehvGp++jUU0+1+0cbjNavX2/pD/kL/F69etlcpGdDJpNplRLTU3Rm194/gE964p7Qvc1xHMdxHMcpHVJd2VyEEEyRUXhA0vz48ePtfXrP9kic6260Cld4RF97gmLI2CEEq8WiBHslli9dutRCt8OGDQMS76O75deeRNurH330UQDuvfdeU2uOP/54IElmTYNH2FVytxmXwr2XjzxXeby9e/e2cEB+Mmvua1Jxcsk/V7AY1dsLQTZt2rSpJPvQaU0mk7FNIXpGVlRUmHKTRtUxk8lYROKTagumlfLWNx3HcRzHcbYjJeN6yKvTSjoNJ8o7haE+VIJgMYvBdTfKDZL6pFyZ008/3c50UiFSqapOemkvz0KvlYNyIyVK+Xvvv/++FZ0sB/t2VDKZjOUPlWIeZqnhipTjOI7jOE6BlKzL4UqUk0Y0LvOPOhgyZIjlKui8SMcpNlJOdaTKunXrLE9RhTl9rnWcjinZhZTjpBnVFTr//POB5IHloRInbajW0oknnljkljhO6eKhPcdxHMdxnAIJ+Se4b9c/FsJq4GNgTY/90cIZTOt27hlj3Opx6CGEDcCi7daq7mWbbSzxPoTyt7Gz43RHsNHvxfTg9+InsIPYWN73Yk8upABCCC/FGA/t0T9aAIW2s1Tsg/K3sSvtdBvTQ7mPUyh/G32cbr/f7UnKfZxCYW310J7jOI7jOE6B+ELKcRzHcRynQIqxkPpdEf5mIRTazlKxD8rfxq60021MD+U+TqH8bfRxuv1+tycp93EKBbS1x3OkHMdxHMdxygUP7TmO4ziO4xSIL6Qcx3Ecx3EKpMcWUiGEk0IIi0IIb4YQruupv7s1Qgi7hxBmhBAWhhDmhxCu2vL6f4UQ3gkhzN3y75ROfJbbWCS6y8a02gflb6OPU7cx73PK2r4tv+M2FonutJEY43b/B2SAfwGfAqqBV4ExPfG3O9G2XYCDt3zfH1gMjAH+C/h/buOOY2Oa7dsRbPRx6jbuKPa5jeVjY4yxxxSpccCbMca3YowNwP8BX+6hv90hMcZ3Y4xztmsF5xMAAAHASURBVHy/AVgIDC/go9zGItJNNqbWPih/G32cbhPlbmO52wduY1HpRht7bCE1HFiW8//lFNjg7UkIYS/gIGDWlpeuCCHMCyHcGUIYuJVfdxtTQhdsLAn7oPxt9HG6w9tY7vaB25gaumhjjy2kQjuvparuQgihH/AX4Dsxxg+B24BPAwcC7wKTtvYR7bzmNvYwXbQx9fZB+dvo49RtpPztA7cxFXSDjT22kFoO7J7z/92AFT30t7dKCKGK5EL+b4zxrwAxxlUxxuYYYwvwPyQSZUe4jUWmG2xMtX1Q/jb6OHUbt1Du9oHbWHS6ycYeW0jNBkaGEEaEEKqB/wAe7qG/3SEhhADcASyMMd6S8/ouOW/7CvD6Vj7KbSwi3WRjau2D8rfRx6nhNpa/feA2FpVutLFndu3FJCv+FJKs+H8B1/fU3+1EuyaQSI3zgLlb/p0C/AF4bcvrDwO7uI3lb2Na7dsRbPRx6jbuSPa5jeVjox8R4ziO4ziOUyBe2dxxHMdxHKdAfCHlOI7jOI5TIL6QchzHcRzHKRBfSDmO4ziO4xSIL6Qcx3Ecx3EKxBdSjuM4juM4BeILKcdxHMdxnAL5/3/XPxlAvDzUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YuXLlSosSaPt/vJyO8hq1eaeioiJrxR07YsWKFZYPNWLECAB++tOfWjK4xvLOyiB0RgjBVH71pdbWViu6m0/UplKiZP+qVau47777gLTyP2DAAGtvKWzx8xGzpUq5IuU4juM4jtNFCs5VbG5u5sorrwTSW9vjW/6Vj6GS8GPHjrXXOvP09DPlK7RFW0WziVbW69evt1wnKTHjx4/nzDPPBLBimorxtra2Ws6RcqoWL15sK3QpBPFiedrJGD8vSiUDtJVVio1ykDLF+vXrrbioVKS46iWPJ54zpTacNGmSXZs8PtkltaOpqck8MHnNpaWldj90n/XZiUQi5x6yPHbF7teuXdtuB0x5eXm3UaJEXG1QP5ICWF9fb+qU+msIod05ivFcj+5m/9FHH235R9op1atXL7NNY5We03Xr1pn92USethRoPUfz5s2zsU8qzMKFCy2ftG2e2yeffGKlG5STOGvWLLNHyNs/8cQT7ft85kipT0lFWr58uSmAUjCkcDc1NdlY+MQTTwCp45refvttID1H6Bnu06cP++23H5Auj9PRuXXZQH1n7dq1NkcpL+rAAw+08b2rSpR4++23+fTTTzd6LZFIWM5qPtG4riiO/v/UU0/ZDkuNrTU1NVZoW0qp8scOPvjgdufwZaoNC2YhpQdh8uTJVrIgHvqRPKebog7dr1+/zXqA9V433HBDu0OOS0pKLCk9m8ST/zTwaiE1YsQIS5zT4Kbfqa2t5dVXXwVSDzykpMx4WAs23uaq+xWv3KvOpkMcNbBkeiEF6cEoLhfHk1ch3abbbbedJdhrsXTXXXdZyFbbkBXqXbp0qcnculetra02UWgwzWWdl7bIRk2sTz75pB1MrL52wAEHdJuwl9puzZo1NtG2Tfivqamx9lD7v/rqq/Z8KiykPr///vtbn+0uC6rS0lJOPvlkIB1OaWpqsgWMag8988wzQCqcpMX0llb07wraaKGK1MuXL7dr0nhy66238vvf/x5IL7ziG1XaOjohhHYbBmTTxIkTMz4pbSlRFNn1K/Xh0UcftXFRCxBtn3/ppZesfpJSBJLJpNkme+KheN2TL3LEs4X6Ue/evTn66KMBLAUkXsW7qyVfNBeefPLJdr9ETU0NBx98cJevPRMkk0kbN1XOIr6oV3torF+3bp3NIXPnzgWwqvy1tbVW4kFCQ6bmCA/tOY7jOI7jdJGCcYe1Hbej5LZEImFS9UUXXQSkkzpLSkraeXrxVbl+plCaVqdx+vfvb+pHNpGnM2LECPPcJU3W1tbaSlpyrqTWmTNnmgStYqLxyrryKmRrjx497B5IDu3Zs6epI22l/kzT0tJinxUPt+n69Pnyoqqrqy0kpPYfOHCgeQ2S4ZVI29raau8lD7ysrMxCelLYcpkM2pa2StO9995rSqBCQnfddZddf6ErMupjc+fOtRCIniXd99LSUlMqpCK+8cYb1q/Vn6VITZgwgZ/85CcApsYW0pleHRFCsP4VDznPmDEDSKumsnHPPffMaXkAXZtCUZMnT7bTE2bOnAmkPHqd29ZWhYCNTxyA1NghRSaezB3/nXzS2tpq48eNN94IpPqprrFtSLmlpaXDUxakSMXVDUipdSpwqvsVRVGHyl2m0Rjdr18/C8dKhVqzZs0XFln+omtpq6xdfvnlQDpKAel+euyxx9r4lC/ee+892xymcUfssMMOVo1eKl1NTY39nuZMKeczZswwBVyKbabSPlyRchzHcRzH6SJ5dyfkSWh7bRx5OxdeeCGXXHIJwGbnVMhzUl6QtrQqJg5pz2PixIl2ZEA20Up/7NixjB07FkgfcfLOO+9www03AGmvUirAwoULzZvXe1RVVZmHpURRqQG9e/c2z0OK0IIFC0zVk5qXTW9S3qCSIRsbG+1+y774+V4qdCjvoaGhwe6NPDCpXOXl5fa9cjzi5yhp23M+UTt9//vfB1Lt9eMf/xjA1IDbb7+dCy+8EEgn7xYC8ZIV6mMq0nfffffZGZVSO6XmDhgwwBI947kk6mc64kKJ6LW1tVZk71vf+haQ2l6ez7IVX4TGk3jyvJTSefPmmUevn0lN3WuvvXKaB9ZWkaisrLTjYL773e8CqbZZtGgRkM651PNXVlZm7aXxZ/HixZZfpNek8L/99tumWuQ62Tx+5JbyZ5RLunr1amuztoQQ7Fo1JsXVeeVbqS0rKyvbRT2iKMpJ6RIVER02bJg9g1LF6urqrBCsbFUuW/ya4qVolF+kDV06qqy1tdXsUd897bTT8lZEV/bccsstzJkzB0i3t861vO666ywZXu2YTCatj5577rkA9vcvvPCCRTykZFVXV2ek/fK+kPr5z38O0E5qBWySufLKK7eoQVtbW20Bde+99wLw17/+1T5HA4U63Q9+8IOcDN7qqAMGDLA6WM8//zyQejg0WMUrfssehTziSXJtk+aVgF1RUWGDgXZW9evXzxYpCivGz+3LNFqwypaamhqbUBR20O7EefPmWUKsrru5udnasKMBUQtLhY0++ugjm8w0sOshy2e4SAvJk046ye63EmLvvvtuWxD++te/BgojVKJ+UlVVZdf3r3/9C0jVI9MCQrZpMbvTTjvZDiktruJVsbWQ0jP54osvWgjw5ptvBlITmib+QqiErslUDklFRYXZoTPcGhoazIlRjbZjjjkGSJ1SUAgVvyF9P6urq82p0lcRD1mpXWfMmGEOr+r16L2WLFmy0e5YyF2YWv3qgw8+2GhHL6TGHT1v+qoxftddd7VQkEKwy5Yts8WYNkUobDZo0CA7J1PhtVy1qRZKK1asMMdFfW3YsGHtFnPqr1EU2b3QovmRRx7hz3/+M5BeOGtsraiosHtx2GGHAakzQfOVcqBF41tvvWX9UW1255132vW1bYcoimxcklOnTVXr16/nscceA9L2jxw5MiNtWRhPuOM4juM4Tjck7+6vZP44WlEqFLKlnmlDQ4OFDP74xz8C2PlgURSZ56Qt93vssYeFx3JBRUWFSYtaLb/77rvmQbRVzGpqaqyKtGpjxG2URyivsWfPnva+Up/69u3LrrvuCqTl4mypHy0tLebBy3saOnSoeRRHHHEEkN6WPGbMGPMCdcr8ypUr2yluIn6ekpJAKyoqzBuTUiBvW6Uy8kllZaWpFKqw3NTUZEqPPDApiPlEHnxjY6OFEaQcrVy5sl3Veik0EyZMsArQ6n/xCtBqb6mxt912mylRUiLffPNN+14ecj6In0IAqbCA/i8PXyHq3Xff3aopS7HQPayvr89KeZFsEQ97aXwYO3as2SWFMp6Q3jaZO9cqRklJiY1pSluoqamxyvM6V0/jQO/eva3vKtT12GOPWZtJ2Vf6xZQpUzj++OOB3IfglSKxcOFC25Ch+XDIkCE2R7SNLqxfv9767vnnnw/A66+/3u4ED6n1lZWVNldI+Xr//fdtXsxVKZm2Z0YOGTLE5jzVWVRUpiMlqaO+p/VEaWmpva82LmWqr7oi5TiO4ziO00XyrkjplHjlyEA6LqyExu23377TOKZWsUpwXblyJXfddReAnYulvI+SkhLL1fnmN78JpM4My2UeQ2lpqalDygObOXOmFTqUt6SV+B577NEuYfXpp5+21bVsk1eSSCTMm1KuSrycgDyPbHmOURSZpyR1oaGhwbybeOFQSKkXUimU66CyEJtCqlVpaal5W8o162hrdz6R96dcjaOOOsruU64L/XWG7mMIoV2eSbzMhNDz9+GHH1peSdwLbLudXt7tUUcdZeqhzoZbt26d5ddJ3cq1wtHa2srf/vY3IF0EUEmqlZWV9kxJVT7ooIOs/XTtyiNraWkxNae7oPFHOVJRFNmYrAiC+vDQoUNz3j7qb/paWlpqSq7G9GnTptl5h+q7GuOTyaS103PPPQfAPffcY22oTTDTpk0DUtXsNXa2LTOQbeI5tG2r5re2tpp6JEVfP5s/fz7XX389sHFpAxE/VQJSc4KeWb3n3Llz7XnWGajZRtclFXfcuHGWl6eyMZs7V6t/aC554IEHbK5U/83UvL/JdwkhDA8hPB1CWBBCmB9CuGDD631DCE+GEN7e8LXwtto4juM4juNkkc1RpFqAi6IoejWE0AuYE0J4EvgOMDOKoqtCCJcAlwD/a0svQB7EL37xCyC1QpQSdcIJJwCpHTBHHXUUkD5VPb56lpKjFfvq1avN042f0wcpr1ir63hRrlyj/A+dGTh16lQrtql8Ltk4fPhwU3Z0ht2yZcs2Kg4H6fyAMWPGmI3KS6qurs6ZNxVFkXk1ikXX19ebVydFSsrGmjVr7BRvKVJftHUZUl6h7p/yGcrLy83zlPdcCMi7b2xsNKVHto0aNcruk+5JIRDfCq4+o6MiPvjgA8sXkmIh73HixInm1cdLKAi9pq/Nzc3mGao916xZ0+EO3lyg63rwwQe56qqrgPbFHCdPnszhhx8OYHlRVVVVpqgpx0/HWpx22mkFX2y1Ldotq7y9zz//3MZItbXU8ubmZrMvV6p+2xIP1dXVln8n1WLYsGEbHfEC6blg9uzZ3HHHHUC6aGNdXZ2Nn4ceeiiQOkcQUmNMvnZeanxIJpN25IlUwTlz5ti4oX6n49UaGxttzuiItmUf4seKSQG6995725XzUDQj28TPSdS1KgdYinC88HQcPbNSHS+77DIgVUBYu2q1oztT7brJFUQURSuAFRu+rw8hLACGAtOAgzb82p+AZ+jCQkohKFXfnTFjhtWpUR2hG2+8kVtuuQVIN6Qe5JaWFrsZ2lbf0NBgk5YGaN3cnXbaySql6sHJ50CnAWrw4MEmTyupUAullpYWWywqZLl8+XKzSVvOdRbTMcccw7hx44D2snYuqKqqandIdENDg1V9Vu0aXX8ymbT26mwS1b3q1asXu+++O5AeOJPJpC08dT+UoB8/aDdXaOLVpLRq1SoLQ2rBvHz5cuvHktALgfi90j3dZZddALjmmms2Onwb0guQhoYGS47VBNDc3GwDodpYjsL9999vGyY0ycWT03ONNi5cffXVNlnp2hXG69evn9UBU8igrq7OtlUrxKL+meu0ga0lmUzaRhGFvebPn9/u/NP4hgP1l1wnm+tzevbsaf1UjltZWZlN/uqLcq6vv/56m5Q1PtXU1HDssccC6fpDhVDPTHNUvAaUFjrz589vdyB4ZyQSCVugaDOI3r+xsdHGKoW/6uvrbQ7ONRrrJ02aZKcGqBakfrb//vu3GzdbWlpsTLn66quBdD8eMGAAV1xxBZD5TQNb9ISHEEYCewAvAQM3LLK02Opwu1EI4cwQwuwQwmx18mKj2G0sdvvAbSwWit3GYrcP3MZiYVuwUWx2TCuEUA3cC/wwiqK6zfU6oii6FbgVYPLkyV/oairEN336dObPnw+kKpdCSsqUN69EQClZ7733nnkX8a3XKqCmhDsl9Z5wwgkmA2eq4N/m2rgpdD1S3eQZvPLKK1x77bVAOum1qanJZHZt61UodOTIkeZJZ8Ib3lL7ysvLrVL8I488AtCpzLw57wfpreXTp0/na1/7GpBW79auXWsKnop1bsk5dplqQyGFRQPIggULLNwjRWe//fazUgi5UC22xsb49ak92hY6rampsW3oel7jJSzULiof8PHHH9v9kTf82Wef2fvKy96S53RrbFQfXbt27UbnrAE888wzADz77LOmxsRD5WpvhZWlCMfLcmSiEnam+2nsfYHU/ZetL774IpCqFq6xSBtGpPYMGTLE2ljttrXjalfGG4X4Fc146KGHbAxUZWspFQ0NDdYW+ruLLrqIs846ayMbs8nm2qhNSYMHD7ZQlfrfppTbeDFkSG2KOPLII4F0SE/K67p160x1jD93+gwpfltCJvrqkCFDTA3+3e9+B8DFF18MpOZ7zeX6+txzz1mpFo0pu+22G5BKH5JSnOliv5s1eocQykgtou6MoujvG17+KIQweMPPBwMrM3pljuM4juM4Bc4mFamQcp9uAxZEUXRd7EcPAN8Grtrw9f6tuRB5aT169LAEaSUExs/PaXuS+vr1620FLQ8kiiLzEBXnVmHIUaNGdWl1nUvaqhNz5861LayyK5FIWC6QztDSqjyRSOQ1L6OkpMSS+pQDtGjRoi3KfSkpKTGvVxsNzjnnHCDl7USNBnsAAAczSURBVMu++JZmKR5SA/JxxIj6ok4g1zb6WbNmWf7MSSedBKQKU+az6GQ20DOor3HvXgqqVJuRI0eaOic18eyzz85bAUvli0yfPt1yMtWnlDcURZH1Yykw1dXVppQrUVmK7OjRo/N6RNHmIgVu1qxZlq+qEg6ffvqpKTfKrdHz3bNnz5ycOReno3PvNKYrp+f555+3XKK2GyB69OhhKoXyaPbZZ5+COJKoLYqyHH/88XZ/lWNZV1fXTu1UTuz48eOttI4iFn369DElSvOpnrumpiZT85T7l0gk7DPz1YcrKipsQ5ba85577gHgqaeest+T3dXV1aaKn3LKKUC6kOfo0aOzNi9uTmjvy8CpwBshhLkbXvsJqQXUXSGE04H3gf/O9MXFJ8sv2lkXP8sr/iDrxqpOVXxnSb6SWbcUTShTp061HRuSp6Mosgrhkn/bLjLziSaWH/3oRwBcfvnldr5RR/df164Be8KECfzsZz8D0m3Y2e7K0tJSu19azORjE4ESW7WzTWc8NjU1MXXqVCCdzNqrV69ut6Nra1C/lFNzyCGHmNOkPlFTU5O3/qtF38UXX2yTjyrPy5FZvny5hbkUlp06dao9g3JmNPEUwrO4OcRDe1o8ys5EImGLX50WoIVyr169cn7Gnj5Hz3lJSYmlQyj8X11dbW2ga1Wo/9JLL7UxpaNDfgsJXd9ZZ51l6Spa6DQ2NtqCSKd0aFd7TU1Np+0iBy6+g1pjlwgh2HjclTB7ppAYokRxHQT/4IMPWpqAwn81NTV2L+SI52JX/ubs2psFfFEvOzSzl+M4juM4jtN9yHtl80zQ0Ypbr3W0gi5U70PIi5WHPHbsWNuaq1V2FEVW50TqWyHZJY/njDPOAOC4444zSVoelX5nyJAh5knFVbUttacQQrbyglXK4rjjjgNSbaNkVikyhdRe+aC0tLQgtpgLPXe9evWyqtb6Wuwo5HPQQQdZsq6SzgcNGmR16dR3FXKqqqqy8Gy+yh+UlJTYWKJwzr777mvJ2VLHVX8on6rnliIbe/fubXXLskEikbBwp74WGmozpYucd955+bycjegevclxHMdxHKcAKQpFqljRCrxPnz6mSB100EFAqsCjVuZtVbd4Qmzc88rH6ey6tv79+1sSYDEjdXD69OlAWpFynEJGY0Lfvn2tjIqS7xsaGqwStMYQqVBNTU2WlK5SJOXl5TkZY+JnOCo/Ul9VHsdxcoErUo7jOI7jOF3EFaluQEVFhSk7ymXo06dPpydYd5Y35mQfv9dOd0L9taqqih133BFIlxGJ5ytqu32ud+o5TiHjC6luggYufc1F9V3HcbY92tZo6+hnjuOk8afCcRzHcRyni4RcFqcMIXwMfA6sytmHdp1+bHydO0RRtMls6RBCPbAwa1eVWbbYxm7ehlD8Nm5uP90WbPRnsXDwZ/EL2EZsLO5nMddVvkMIs6MompzTD+0CXb3O7mIfFL+NW3OdbmPhUOz9FIrfRu+n2fvbXFLs/RS6dq0e2nMcx3Ecx+kivpByHMdxHMfpIvlYSN2ah8/sCl29zu5iHxS/jVtznW5j4VDs/RSK30bvp9n721xS7P0UunCtOc+RchzHcRzHKRY8tOc4juM4jtNFfCHlOI7jOI7TRXK2kAohTA0hLAwhLA4hXJKrz90UIYThIYSnQwgLQgjzQwgXbHj9FyGE5SGEuRv+fXUz3sttzBOZsrFQ7YPit9H7qdvY5n2K2r4Nf+M25olM2kgURVn/B5QCS4DRQDnwOjAhF5+9Gdc2GJi04ftewCJgAvAL4Mdu47ZjYyHbty3Y6P3UbdxW7HMbi8fGKIpypkjtDSyOouidKIqagP8BpuXoszsliqIVURS9uuH7emABMLQLb+U25pEM2Viw9kHx2+j9dIsodhuL3T5wG/NKBm3M2UJqKPBB7P/L6OIFZ5MQwkhgD+ClDS+dF0KYF0K4PYTQZxN/7jYWCFthY7ewD4rfRu+n27yNxW4fuI0Fw1bamLOFVOjgtYKquxBCqAbuBX4YRVEdcDMwBtgdWAFcu6m36OA1tzHHbKWNBW8fFL+N3k/dRorfPnAbC4IM2JizhdQyYHjs/8OA2hx99iYJIZSRupF3RlH0d4Aoij6Koqg1iqIk8H9JSZSd4TbmmQzYWND2QfHb6P3UbdxAsdsHbmPeyZCNOVtIvQKMCyGMCiGUAycCD+ToszslhBCA24AFURRdF3t9cOzXpgP/2cRbuY15JEM2Fqx9UPw2ej813Mbitw/cxrySQRtzs2svSmXFf5VUVvwS4H/n6nM347r2JyU1zgPmbvj3VeAvwBsbXn8AGOw2Fr+NhWrftmCj91O3cVuyz20sHhv9iBjHcRzHcZwu4pXNHcdxHMdxuogvpBzHcRzHcbqIL6Qcx3Ecx3G6iC+kHMdxHMdxuogvpBzHcRzHcbqIL6Qcx3Ecx3G6iC+kHMdxHMdxusj/B8q2q2pLjwyQAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x180 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(30):\n",
    "\n",
    "    ##########################\n",
    "    ### RANDOM SAMPLE\n",
    "    ##########################    \n",
    "    \n",
    "    n_images = 10\n",
    "    rand_features = torch.randn(n_images, num_latent).to(device)\n",
    "    new_images = model.decoder(rand_features)\n",
    "\n",
    "    ##########################\n",
    "    ### VISUALIZATION\n",
    "    ##########################\n",
    "\n",
    "    image_width = 28\n",
    "\n",
    "    fig, axes = plt.subplots(nrows=1, ncols=n_images, figsize=(10, 2.5), sharey=True)\n",
    "    decoded_images = new_images[:n_images]\n",
    "\n",
    "    for ax, img in zip(axes, decoded_images):\n",
    "        curr_img = img.detach().to(torch.device('cpu'))\n",
    "        ax.imshow(curr_img.view((image_width, image_width)), cmap='binary')\n",
    "        \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}