From 7d30b0e5cd9bf3e88956aea01ee0b43f286cb1ec Mon Sep 17 00:00:00 2001 From: Gerardo Marx Date: Thu, 27 Mar 2025 16:45:48 -0600 Subject: [PATCH] Modifications for demo and adding MLP sklearn --- main.ipynb | 204 +++++++++++++++++++++++++++++++++++++++++++++-------- 1 file changed, 174 insertions(+), 30 deletions(-) diff --git a/main.ipynb b/main.ipynb index 9d5c0ad..7522914 100644 --- a/main.ipynb +++ b/main.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -14,12 +14,12 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 62, "metadata": {}, "outputs": [ { "data": { - "image/png": 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6aK3Kli1bzH8XAOBZNO/REyxkVBoQjW2FdfpGp1v0Nm/ePJMR0UBDH2uQUx8Nbjp37iwvv/yydOjQwWQuNGNhvU8zI9a0TkpKijN42b17t5lW0iJXzfRoIPHss8+aDM5ll11mrqM2va5ATJ48Wd577z1ZuXJlnUwSAMD/nZFjGYGKj4VJGqGGozq6W7duJkBYv369yZZYxaxff/21M2vy1VdfyaFDh8xyXq1HURs2bHA7T2pqqrmvqalxPqfv0ZoVDVIGDBhgnlu9erXb+zp27OjxujTomDBhgrnpe7WORgOVSy+91Ez/6BSTZmg80WtxvQ5v7Ha7CVL+9re/mWmjrl27NvgeAEhkzaLwj+lgY+rHB+GsjtapkzvuuMMEAitWrDDTH1ok61roqgGMfvjPnj1bvv32W3nnnXdMYa0rzZpozYhmJkpKSkzmQ1cA6UqfOXPmmOkaPb8W1jZEC261sFffs3XrVnPOCy64wLymq4G0wFZX+mgx7c6dO02Qce+998revXvNMTq9pIW1GiQdPHjQFOB6okGK1ubMnz/fTCUVFxebm5XhAQC4i7WlxoEgUAlwM6dQeuaZZ0zWQqdphg4dapYT6/SKa3ZDl+4uWrRILrzwQpNZ0exG7czIjBkz5KGHHpJ27dqZIECDHa350PoWne65//77zX+rIRoUTZs2zawUGjhwoCQlJTlrRzIyMswUjQZPY8aMMQGMBlpao2JlWCZOnGhqbLQYV6/9k08+8fjfeemll8xKH+3Cq8uyrZtmbAAAnsXSUuNA2Oyab49huuy1RYsW5gOu9tSDfljqX/g6hZDuZ4ShtRt6bj2nt2W7CI7GjHVjvseJRjNZWmd07bXXOuuPEHyMc3gwzrE/zvV9frviExgAAEQtAhUAAGJIZRg7pUcDVv0AABAj9oS5U3o0IKMCAEAMZEYqE6C5mydkVAAAiJLMiOuePbo+oNLlcSI0dwtqRkWXpOryWe1uqv063nrrLbcq4QcffFAuvvhiyczMNMfobsD79+93O4f217B21LVuutQ22GJ8YRPqwfcWQKzxlhn5+muRRYt0DzXH/dq17o8PHz7T3E3bS+m9Po6n5m5BDVS0jXvPnj3lhRdeqPNaRUWF2e1Xd93V+6VLl5pmX9ddd12dYx977DEpKipy3u655x4JFmsplV4P4pP1vWV5IoBYmerRW+3MyKFDIh9+eCZ4OXBAN6R13FvBzPr1IroNXDw3dwvq1I/u/6I3T3RdtO4J4+r3v/+99O7d2+xJY7WGV9qB1J9ddf2hjcl0F98D+p0+3ZzM2uHXl94euv+N9umgj0poBTLWmknRIEW/t/o91u81AMTCVI8GFtqg27Xtve56UlUl0qGDI3hp0cKRQWnZ0n2aRxuPalM3ne7RTEq8BylhrVHRhi4aJOiHiiud6tH27xq8jB8/3nRLTU72fllVVVXm5towxppu8tSaXVvG6z4z3333nV/Xqx+E+sGpTcR8DW4QmMaMtTYJ0u+xt7b8OMMaI8YqtBjn8Ij2cXatLVErVthM4GEFJjprrYGGNX3Tu7ddPv3UJrrziJVhadnSJocO2U2gose1aqUBjV307zKrP1qov/xQjrOv5wxLoKIfQlqzcvPNN7t1n9P9YHRTu1atWsmaNWtMm3ad/vntb3/r9VwzZ840reFr++c//2kyJt7oByB/dccXDUCpUfFf7WwnQoNxTtxxLilpKlu35khFRbJkZJyUTp3K5KuvWklWVpUcOqQZ5CZSVpYmvXsXSXb2KUlPr5Ht20/JyZNNpbAwR7Ztc7yvW7dyKSrKlG++cTzOyjokK1Ycj5tx9rUsIygt9DUI0B1vR48e7TFiGjt2rNmgTjerq69N7quvvio/+9nPzAZ6aWlpPmdUdAdh3eyuvnP7S69bvzHDhg2j/iHEGOvwYJzDg3FO7HHWTMqSJe7Zk+bNHa99//2Z5zQ7Mnasvc7Ujb7fdVqnstbjeBpn/fzWTW0baqGfHOov8MYbb5Tdu3ebnXobCiT69OkjJ0+elF27dplN7DzRAMZTEKMDGIof1lCdF3Ux1uHBOIcH45yY43z0qCOwyMtz1JZoJYPWlvTvL7J585liWS2CtQIYV/qluD6fUutxPI2zr+dLDnWQsn37dvnoo49MHUFDNm3aZIop27ZtG6rLAgAgZLQmxVpCbGVPdHWO/u2tt0Qqgg2WgAMVnZ7ZsWOH87HuYKuBhtab5Obmyrhx48zS5Pfee8/UEhTrd0s03dVKUlNTZe3atbJ+/XoZMmSIWfmjj7WQ9qc//alk63cVAIAYowGIZkt0hY+nJcQEKGEMVDZs2GCCDMvUqVPN/YQJE2T69OnyzjvvmMe9evVye59mVwYPHmymbxYsWGCO1ZqTrl27mkDFOg8AALFIO3Ak2hLiqAxUNNiorw63oRpdXe2zbt26QP/zAABELQ1OCFCCg05mAAAgahGoAACAqEWgAgAAohaBCgAAiFoEKgAABGlnZL1HjG5KCABAvO+MrM3etG+KLlFGcJBRAQAgQJpB0SDFao2v9/qYzErwEKgAABCgY8ccmRRtl697++i9PtZmbwgOAhUAAIKwt8/x4457fawdaREcBCoAgIQQioJXa28f3dPH094+aDyKaQEAcS+YBa8a6OiUj2ZTNCBhb5/QIlABACRMwavWkOj0jD7W4MLfoMJbwMPePqHD1A8AIK4Fq+CVFT6RQaACAIhrwSp4ZYVPZBCoAADiWrAKXlnhExnUqAAA4p6ngtfaRbG+Bjw63cMKn/AhUAEAJATXgld/VgG5BjSs8Ak/AhUAQELxZxVQfat8EB7UqAAAEoqvRbGs8okOBCoAgITia1Esq3yiA4EKACCh+LoKiFU+0YEaFQBAwvGlKJZVPtGBQAUAkJB8aXvPKp/II1ABAKAe7OMTWdSoAADijq7MOXiQFTrxgIwKACCu+NPMDdGPjAoAIG7Q+yT+EKgAAGJyWqe6uu5HGL1P4g9TPwCAmJvWKS21yc6dHeTSS0W6dfPc+8Rqj6/Liul9ErvIqAAAYm5ap3Vrke+/T5FVq2xu0zq+NnND7CCjAgCICa7TOikpGoRUOqd1XAMRep/EFzIqAICYWFZcu6V9aWm615b2Gpzk5PgfpLCsOfqQUQEAxMSyYteW9hpMNG9+QgYMsActY8Ky5uhERgUAEBaeshXWc0eOnK4/OVgjbQ5sldLlG6TgpS+ksrzG7RzWtM6NN9qlX7/9QQskWNYch4HKypUrZeTIkdKhQwex2Wzy1ltvub1ut9vl0UcfldzcXGnatKkMHTpUtm/f7nbM4cOH5Sc/+YlkZWVJy5Yt5Y477pBjOgkJAIgrmq1YtEhk4ULHvT52fW7+fJFd/7tV2j8xSZo+9pC0f+MpKZv5eyk/p5fI0qUep3VSU08FbcqGZc1xGKiUl5dLz5495YUXXvD4+tNPPy3PP/+8vPTSS7J+/XrJzMyUESNGSKXLT5EGKVu3bpXly5fLe++9Z4KfO++8M9BLAgBEIU/ZiuXLRT744Mxzx9d9LvsWrpTCwxlyXNKlWNpLlpRJZtEOkXHj6gQrDQVB/qpd/6L33upfECOByjXXXCNPPPGEXH/99XVe02zKrFmz5Fe/+pWMGjVKevToIX/+859l//79zszLl19+Ke+//7688sor0qdPH+nfv7/Mnj1bFixYYI4DAMQHT9kKzX7ozTyXWiP5//uidJS9kiEVUiJtJFtKZZCslHQ5/cftlCkiNe7TQMGcsmFZc4IV0+7cuVOKi4vNdI+lRYsWJiBZu3at3HTTTeZep3suv/xy5zF6fJMmTUwGxlMApKqqqszNUqY//SJy4sQJcwsW61zBPCc8Y6zDg3EOD8a5rrQ0zUzYZO/eM03YWrVyvKbP5R7+QkoOp0gX2S0j5V2pkWTJlHJJl9O/6+12kcJCOfnRR2LX6MFlfEtLT5jmb9pXRZcs672j5sVupof8kZsrMnq0+7LmRP82ngjhz7Ov5wxJoKJBimrXrp3b8/rYek3v27Zt634xycnSqlUr5zGezJw5U2bMmFHn+X/+85+SkZEhwabTUggPxjo8GOfwYJzdnTzZVAoLc2TbtmTJyDgp3bsfMs/rc99t3iUXnc6gtBTHH5+ebFq2TPbVKhpZv/5D06F28+YU01dFlyzraqBVq/a71bAg+n6eKyoq4nN58rRp02Tq1KluGZX8/HwZPny4KcoNZqSn35hhw4ZJiobpCBnGOjwY5/BgnB106kWnfLT2w5o+0edqN2HT5yqWH5MWKxafyaB40euaa6SnS0ZFx/mHP7xKLr3U0aFWE+zdu4tZstypU4+Qf42J4EQIf56tGZGIBCrtNbcnIt99951Z9WPRx7169XIec+DAAbf3nTx50qwEst7vSVpamrnVpgMYil8KoTov6mKsw4NxDo9EHmdv/Uh0OJo3dz/WPDeqv0heG5F9+xzTPLXZbCJ5eZI8ZIhIUlKt96dIt24p0rEjnWhj7efZ1/OFpI9K165dTbDx4YcfukVOWnvSt29f81jvjxw5Ihs3bnQes2LFCjl16pSpZQEAxJ6Ails1+HjuuTNBiSvr8axZdYKUYHSiRfQLOFDRfiebNm0yN6uAVv+9Z88e01dlypQpZlXQO++8I//+97/llltuMT1XRmulkohccMEFcvXVV8vEiRPl008/lU8++UQmT55sCm31OABA7Am4H8mYMSKLF4tJjbjKy3M8r68jIQU89bNhwwYZomm406y6kQkTJshrr70mDzzwgOm1on1RNHOiy491OXK6S7g7b948E5xcddVVZrXP2LFjTe8VAEBscu1HYq3w0aW+PvUj0WBk1CiRVatEioocy3AGDKg3k4L4F3CgMnjwYNMvxRvNqjz22GPm5o2u8Jmv7QgBAHFTPGvtxxNQPxINSgYP9npupnYST8yt+gEARH/xrO7HE4ziVjYKBJsSAgCCXjyrGlvcykaBUAQqAICAhXIzPzYKhCJQAQAELJSb+bFRIBSBCgAgYKHczI+NAqEopgUANIoWtwareDac50ZsIFABADSaBhChCiJCeW5EP6Z+AABA1CJQAQAAUYtABQAARC0CFQAAELUIVAAAQNQiUAEAAFGLQAUA4pTuiXPwIHvjILbRRwUA4lAwdx3WQEf33dGW9vQzQbgRqABAnHHddVg38tM9cvSxdnj1N9AIZsADBIKpHwCIM8Haddg14GnTxnGvj5lKQjgRqABAnGnMrsOudS3BCniAxmDqBwDijLXrsGY//Nl1uPY0T58+ZwIeawpJz+VLwAMEC4EKAMQhf3cd9lTXsn69I1jRe38CHiCYCFQAIMb4ugrHn12HPU3zaHCSk+NfwAMEG4EKAMSQYK/CsYKe5GTv0zz+BDxAsBGoAECCLDuunYmpHfScfbbIjh0NT/PQVwXhRKACADHC2/SMTssEUiirtSeuQY8GKSNHitTUeJ/moa8Kwo3lyQAQ58uOPfVD+eADkUOH6i491iBF61K8ZVLoq4JwI1ABgBhbdqzTMv6swvGUiamuFklL8y/ooa8KIoGpHwCI42XHtTMx1jSPZk38XXrs6Tz0VUGoEagAQIzxdxWOtwZwGvTozdegJ9BGckBjEKgAQAJnYvwNegLJ6ACNQaACAAkiWP1Q6KuCcKKYFgAARC0CFQAAELUIVAAgimhPkoMH6U0CWKhRAYAoQddXIMwZlS5duojNZqtzmzRpknl98ODBdV676667QnlJABCV6uv66kuWhUwM4lVIMyqfffaZ1Gg/5tO2bNkiw4YNkxt0bdtpEydOlMcee8z5OCMjI5SXBAB+C8cmfN728dm2TWTz5vqzLGRiEM9CGqi00T8LXDz55JPSrVs3GaT/L3IJTNrr/yMBIAqFKwjw1PVV+5Rs3OgIYrztltzYHZWBaBe2GpXq6mp58803ZerUqWaKxzJv3jzzvAYrI0eOlEceeaTerEpVVZW5Wcr0t4eInDhxwtyCxTpXMM8Jzxjr8GCc/adBwIoVNjl8+EwQsGKFyNixdq9BQKDjnJQk0q+fyKpVNue+O92722XtWpu0bi2SkiLmXqd3jhyxmxb4SgOU0tL6j4lH/DzH/jj7ek6b3W63Sxj89a9/lfHjx8uePXukQ4cO5rk5c+ZI586dzePNmzfLgw8+KL1795alS5d6Pc/06dNlxowZdZ6fP38+00YAgqqsLFVWr+4gWVlVkpp6Sqqrm0hZWZr0779PsrJC8wGp/43KyiRJT3dMm69Z00G+/z5FsrMrpbQ0XZo3PyH9+u0312Md39AxQDSqqKgwccHRo0clSyPzSAcqI0aMkNTUVHn33Xe9HrNixQq56qqrZMeOHWaKyNeMSn5+vhw8eLDeLzSQSG/58uWmpiZF/0xByDDW4cE4B5ZRWbLEPaPSqlXDGZV6x7mmRmyrV4sUFYnk5oq9f39HOqWeqSfNslhTTwMG2D3WqDR0TLzh5zn2x1k/v1u3bt1goBKWqZ/du3fLBx98UG+mRPXRrTxF6g1U0tLSzK02HcBQ/LCG6ryoi7EOD8bZdzpMV17pvhpHa1SaNw9wnPV34H33iezde+a5vDyR554TGTPG43n0V2HHjvXvrePLMfGKn+fYHWdfzxeWQGXu3LnStm1b+eEPf1jvcZs2bTL3ubm54bgsAAjfJnwapIwbJ1I7ib1vn+P5xYu9Biu+7K3D/juIVyHvTHvq1CkTqEyYMEGSk8/ERd988408/vjjsnHjRtm1a5e88847csstt8jAgQOlR48eob4sAPCZBgBamBpwIKBtGjST4mmm3XpuyhTHcQDCG6jolI8W0N5+++1uz2u9ir42fPhwOf/88+XnP/+5jB07tt4aFgCISatWuU/3eApWCgsdxwEI79SPBiKe6nW1ALZAJ34BIN5p4awW50qaHJNm0kyOSbpUeT0OwBns9QMAQexe66HW36zu2SP5UiADpUyyJEvKZJCslE5SWOc4AO4IVAAgiN1rMzNtcvJkU7fXK68YIAXZox3dY6VIiqW9CVpukMWOzIo2wdTVPwMG8L0Awl2jAgDxyNoE8MgR9+XL2nNl69Yct80Bjx1PkrKxt0l7KZamUmXuNbNSLpmOIEXNmlVvPxUgUZFRAYBGZFA0zjh0SOS8885sJrhtW7JZzmz1WzH7+Ay8RIprHpb2b78kxYdTJFtKJVPKHZkUDVK8LE0GEh2BCgD4ofYmgLpYR1uh6A4e+fmO7rUZGSdNzxXXXZe1UVyB9JKSS16Q7KJtMih3u6Rf/P+ZaSHNuDSrpA8K4AmBCgD4QQMPzaRokKIZFA1OKiocgUpJiaPFflbWITlwQPfpcd912dE4LkkyMy+U9PQLHZmZpaHfmRmIZdSoAIAfzDROliNzcvy4475LF5Gbbxa56SbHPkAtWlSZvXesuhW9t7oxWI3jXDMzrse41rYAIFABAI9Fst4CBg0yNPORne3IoOi9Pm7Z0jUISXbLuui9Pta6FW+ZGU/HAGDqBwA8FsnWNxXT0P4/6eknnVkXa9dlDWj0WE+ZGW/HACCjAgCGv1Mx9e3/k5p6SgYMsNfJurge6y0zQ0Et4I6MCgB4mYrRAEKzJoEED5p16dix/l2Xg7YzMxDHCFQAIERTMRp4NBR8+HIMkMiY+gEApmKAqEVGBQBOYyoGiD4EKgDggqkYILow9QMAAKIWgQoAAIhaTP0ASCw1NSKrVokUFYnk5ooMGCCSlBTpqwLgBYEKgMSxdKnIffeJ7N175rm8PJHnnhMZMyaSVwbAC6Z+ACTGvj0apIwb5x6kqH37HM/r6wCiDhkVAPG/b0+zGhn00FPSyW6ve6A+Z7OJTJkiMmoU00BAlCGjAiD+9+3Z8K0UFJ8jRyRLDkqOVEpa3WClsNBRuwIgqpBRARD/+/bYimWbdJa/yM1ySppIlpTJIFkpnaTQ/Y1aYAsgqpBRARDX+/YcPy5SeCJX9klHqZAMaSMlUirZUiAD62ZWdBUQgKhCoAIg7gpna+/b07R7V+nY/Jjky15pKpXSXoqlTLKkXE7vOKg1Kvn5jqXKAKIKUz8A4qtwNssRpLju25OUlCTvbh8ixc/vNUFKsbSTbCmVTCl3BClq1iwKaYEoREYFQHwVzpY6HluZlZwckZYtRQb9/ArJvvc/paTlOSZI0RqVdKmSyo7d5OCr70jltfRRAaIRGRUA8VU4294x3aOZFNfNBU2G5akrpPz/XSqZmz6R9EM/lD1NukhBZW8pO5YkWYvOZGIARA8yKgDiqnBW7/Vx5unyE1cmw9I2SdKHD5TK62+Wguq+Uno0qU4mBkD0IFABENNqF87qvT52zab4monRx5qJARA9mPoBEPNcC2c1k9JQkFI7E6NBit5rkOMpEwMgcsioAIj9fXysaZ0c34KUxmRiAIQXGRUAEaWBhk7DaIbD1yDB23LkcGRiAIQXgQqAiAkk4HBdjmxN2ehjDTgCCTT0PQQoQIJO/UyfPl1sNpvb7fzzz3e+XllZKZMmTZKcnBxp1qyZjB07Vr777rtQXhKAGOh/Uh+KYIHEEvIale7du0tRUZHztnr1audr999/v7z77ruyaNEiKSgokP3798uYMTRdAhJBoAGHP8uRAcS+kE/9JCcnS3v9DVTL0aNH5U9/+pPMnz9frrzySvPc3Llz5YILLpB169bJf/zHf4T60gBEkD+rbmrXsegUkWZfKIIF4l/IA5Xt27dLhw4dJD09Xfr27SszZ86UTp06ycaNG+XEiRMydOhQ57E6LaSvrV271mugUlVVZW6WMv0TTMScS2/BYp0rmOeEZ4x1Yo6zbqvTr5/IqlU2Z1akXz+7ed71ErWORY+x6lgGDLCbOpbRo92LYKPky4q6cY5XjHPsj7Ov57TZ7Xa7hMiyZcvk2LFjct5555lpnxkzZsi+fftky5YtZsrntttucws6VO/evWXIkCHy1FNPea170fPUppmZjIyMUH0pAEKkurqJVFYmSXp6jaSmnqrz2po1HeT771MkO7tSSkvTpXnzE9Kv3/46xwKILRUVFTJ+/Hgzw5Klf4VEIqNyzTXXOP/do0cP6dOnj3Tu3Fn++te/SlOdlA7AtGnTZOrUqW4Zlfz8fBk+fHi9X2ggkd7y5ctl2LBhkpKSErTzoi7GOjxicZy1T0pRkU1at3bUsWhNij43YEAP0zMlGsXiOMcixjn2x9maEYmq5cktW7aUc889V3bs2GG+6Orqajly5Ih53qKrfjzVtFjS0tLMrTYdwFD8sIbqvKiLsQ6PWBpnrT/RmwYn+mtB7/Wx/sqI9i8hlsY5ljHOsTvOvp4vrJ1pdRrom2++kdzcXLnsssvMRX744YfO17dt2yZ79uwxtSwA4lhNjcjHH4v85S+Oe33sAd1jAYQ0o/KLX/xCRo4caaZ7dOnxr3/9a0lKSpKbb75ZWrRoIXfccYeZxmnVqpWZtrnnnntMkMKKHyCOLV0qct99Inv3nnkuL0/kuedEPLQnoHsskNhCGqjs3bvXBCWHDh2SNm3aSP/+/c3SY/23+t3vfidNmjQxjd60qHbEiBHyhz/8IZSXBCDSQcq4cSK1a/j37XM8v3ixx2CF7rFA4gppoLJgwYJ6X9clyy+88IK5AYhzOr2jmRRPCw31OZtNZMoUkVGjpPJEkt/7/wCIT+z1AyA8Vq1yn+7xFKwUFsqexZ9KQXXfRm84CCA+hLWYFkD80u6xuirH6149RUUNn0PSpGCl//v/AIhfZFQANNiyPii7IOfmmkDkmDSTZnJM0sW92aPS18pSctz2/9HVPlpIyxQQkJgIVAD4H3R42QXZ2rNHH+tKHdfgYk/nAVKQfaeUldZIlhyVQbJSOknhmQNsNmnWMVuyLunm0/4/ABIDUz8APAYdvk69+LILsjnv6iQpHX27tJESKZVWUiADTYbF0EJaLbB/7ikZNCSJvikAnMioAKg36Gho6sWXXZCd5726lzRtN0Xaz/mzlBzOknLJdEwBaR+VWbPM0mRN3tA3BYCFQAWAX0GHt+6xmnnxlgVxO+8l/aT4V30ku2SbZJ43SKRzO928x7Gdsss5CVAAKAIVAH4FHZ401D22znlbJ8mgsRdKeqcLQ/r1AIh9BCoAgtKy3lMWxHX1EK3wAQSCQAVIMBo8HD1a/9LjYEy9eFs9RIACwB+s+gESSElJU1myxCYLF4osWuQIJqJl9RAAeEKgAiQIDRK2bs2Rw4dDHzz4smQZAHxBoAIkCA0eKiqSwxI8uK7yOX7cca+PadwGwF8EKkCC0OAhI+NkWIIHa5UPjdsANBbFtECC0CChe/dDkpwcnuCBVT4AgoFABUggbdoclyuvtEt1dXiCBxq3AWgsAhUgwWjg0Lx5pK8CAHxDjQqAgOhqoYMHWXIMILTIqAAIWjM3AAg2MipAHAtF1oNmbgDCiYwKkCBZj379Aj+X6549npq56SoiXd1D4SyAYCNQAeKQa9ZDA4nifTWy+uVtcvbxNWLT5T5DhogkJQUU8PTpc6aZmzl3sWOpM83cAIQCUz9AHHLLevzfGmn/xCQ59tQf5PznX5HkYcNEunQRWbq0wekhT9M869c7ghWauQEIBzIqQBxytrB/f5O0nztLiqWdZEupZMrpfvn79omMGyd7XvxfKci4xmtRrLdpnpwcmrkBCA8yKkAcMi3s+9dI9luvSom0NkHKIFkp6VLlOMBul0p7mhQ8/L6UHqzxWhRb3549+t/QgIUgBUAokVEB4lSn3avkhtI5Ui6ZJpPiDFJOOyaZUnb4hLQ/8pU0Pbu7x6JYa88eDWCY5gEQCQQqQLwqKjLBSe0AxdJMjkmWlEnxzuPSvrv3olj27AEQSUz9APEqN7felzWA0emg7LyMBrMlTPMAiBQyKkC8GjBAJC/PUThrt9d93WaTTnkiN/y/86S8kmwJgOhERgWIV9on5bnnHP+22dxfsx7PmiXpmUlkSwBELQIVIJ6NGSOyeLFIx47uz2umRZ/X1wEgijH1A8Q7DUZGjZKTH30km5Ytk17XXCPJfnSmBYBIIlABQsh1j5yITq0kJYl90CDZV14uPbViliAFQIwgUAFCpPYeObW7vsZNEAQAsVqjMnPmTLniiiukefPm0rZtWxk9erRs27bN7ZjBgweLzWZzu911112hvCwg5DztkVO762tjg6BFi0QWLnTc62MAiEchDVQKCgpk0qRJsm7dOlm+fLmcOHFChg8fLuXaOcrFxIkTpaioyHl7+umnQ3lZQMh52iNHH9f60ffK340CgxkEAUDCTP28//77bo9fe+01k1nZuHGjDBw40Pl8RkaGtNff5ECccN0jR3+0vXV9DWTKyNtGga6t7wEgXoS1RuXo0aPmvlWrVm7Pz5s3T958800TrIwcOVIeeeQRE7x4UlVVZW6WMv2NLWKyNXoLFutcwTwnEmestVa1Xz+RVatszo38+vWzm+fr+zI1K7JihU0OHz4T4KxYITJ2rN0ZhKSlacBjk717zxyj/5dKTbXXe+54HOdoxDiHB+Mc++Ps6zltdrunlpXBd+rUKbnuuuvkyJEjsnr1aufzc+bMkc6dO0uHDh1k8+bN8uCDD0rv3r1l6dKlHs8zffp0mTFjRp3n58+f7zW4ASKlurqJVFYmSXp6jaSmnqrnmGRJTz9p7lev7iBZWVXmeH2trCxN+vffJ1lZZ/5PXVLSVLZuzZGKimTJyDgp3bsfkjZtjofxKwOAxqmoqJDx48ebJEaW/jUX6UDl7rvvlmXLlpkgJU+bTXmxYsUKueqqq2THjh3SrVs3nzIq+fn5cvDgwXq/0EAiPa2rGTZsmKSkpATtvKgrkcdap3k062JN8/TubZdPP3XPqGi2xDWj4pp98WejwEQe53BinMODcY79cdbP79atWzcYqIRl6mfy5Mny3nvvycqVK+sNUlSfPn3MvbdAJS0tzdxq0wEMxQ9rqM6LuhJtrDXQWLPmTL2JBiUbNzqmjNavP1MsqzUqzZvXfb8OlafnG5Jo4xwpjHN4MM6xO86+ni+kgYoma+655x7529/+Jh9//LF07dq1wfds2rTJ3Oc2sPMrEOu8FcXqvjs33OBftgQA4lVIAxVdmqy1I2+//bbppVKsfzKKSIsWLaRp06byzTffmNevvfZaycnJMTUq999/v1kR1KNHj1BeGhAxVqO25GTvK4M0OCFAAYAQByovvviis6mbq7lz58qtt94qqamp8sEHH8isWbNMbxWtNRk7dqz86le/CuVlARFTe+nx2WfrNKcjk6JBik7zBBqg0KkWQDwK+dRPfTQw0aZwQCJwbdRmZVA0SBk5UqSmpnHTPKFu1w8AcdmZFkDD3Wo1SNG6lMZkUuhUCyBeEagAEehWe/y4414f+9KtNpTt+gEgmhGoAGGiGROdktFaFH9rUurb+ydUARAAJFwLfSDRad2Iv0uPG6o/sQIgPSYYRbkAEE0IVIAw82fpsacCXH2swY7rOQIJgAAgFhCoAFHMn52S6b0CIB5RowJI42pEAjnOV9SfAEh0ZFSAIPUoCUUvE+pPACQ6AhXA3xqRj2rkhtxPJP3QPt2USmTAAKk8keRTLUkgqD8BkMgIVAB/akR2r5OSV9+V8iMvSbocdhyUlyfHHn9Rysp/5FMtSSCoPwGQqKhRAXytEfl4nRT/dr5kHdktmeLSTW3fPml22w2S9fVn1JIAQJARqAC+NGlrUWMyKdlyWAbJSkmXqjMH2e2SbquSQYvucRxHLQkABA1TP4AvNSK5n5jpHs2kuAUpFrtdOhWtdxx32UBqSQAgSAhUAB9o4ayzJuW0SkmTY9JMmskxZ/BijsuJ0EUCQBwiUAF8oat7XOyRfCmQgVImWZIlZWY6qJMU1jkOANA41KgAvjRuGzDArO4Rm81kUjRIKZVsaSMl5r5ABkll3tmO4wAAQUNGBfCpcVuSyHPPiYwbJ8ekucmktJdiaSqV0l6+kxJpI+VP/E7Sk5IiffkAEFfIqABeGry1aeO418cmszJmjMjixdKsYwsz3VMs7eW4pEtxywsk695bJfPHP4r05QNA3CGjAvizCeCYMZI+apQMWvypFKwUKUnJkexLusmgIUms8gGAECBQQcLTbIkGKNrczbXBm9UKX3uiuDVuS0qSTj/uKzeMoq09AIQagQoSmqd6FF83AaStPQCEHoEKEpbHDQdPbyTIJoAAEB0IVJCw6qtHyckhQAGAaMCqHyQstw0H2UgQAKISgQoSlnPDweyG61EAAJHB1A8SmtlwkHoUAIhaBCpIeKzeAYDoxdQPAACIWgQqSDh1NhwEAEQtpn6QMF1ndXrH84aDkb5KAIA3BCqIW7WDkj59RNav99zgjRoVAIhOTP0gYXZB/uADkUOH3Bu8aRCjK34AANGJQAVxWX+it9pdZ6urRdLSaPAGALGEqR/EZf2JPj5xwn0XZG2Lb03/0OANAGJDVAQqL7zwgjzzzDNSXFwsPXv2lNmzZ0vv3r0jfVmI8foTu90RxLgGJVo4qzcavAFAbIh4oLJw4UKZOnWqvPTSS9KnTx+ZNWuWjBgxQrZt2yZt27aN9OUhRnY91voTndrp0MF9g8ERIxzBiGtQQoM3AIgdEa9R+e1vfysTJ06U2267TS688EITsGRkZMirr74a6UtDDO167K3+RKd72AkZAGJXRDMq1dXVsnHjRpk2bZrzuSZNmsjQoUNl7dq1Ht9TVVVlbpYy/cQSrUc4YW7BYp0rmOeE72Ndu/7ElQYkmZk22bv3TEalVSuR3r3t8umnNmeQ0q+fXZKSHLUq4Gc6XBjn8GCcY3+cfT2nzW7XmfzI2L9/v3Ts2FHWrFkjffv2dT7/wAMPSEFBgazXooNapk+fLjNmzKjz/Pz5800mBrGvpKSpbN2aIxUVyZKRcVK6dz8kbdoc9+mY6uomUlmZJOnpNZKaeipiXwMAoH4VFRUyfvx4OXr0qGTpX5fRWqPiL82+aE2La0YlPz9fhg8fXu8XGkikt3z5chk2bJikpKQE7byof6xralJkyRKb5OefyZYkJ4tceaW9TmZFsy4UxfqOn+nwYJzDg3GO/XG2ZkQaEtFApXXr1pKUlCTfffed2/P6uL1+SnmQlpZmbrXpAIbihzVU50VdOs4VFSkm+MjLc9SfaJCiRbFag9K8ee3j6z6HhvEzHR6Mc3gwzrE7zr6eL6LFtKmpqXLZZZfJhx9+6Hzu1KlT5rHrVBASZ1NArUnRxBhN2QAAUTH1o9M4EyZMkMsvv9z0TtHlyeXl5WYVEOKPp00Bc3PPvK5TOPqcHlO7KVt9BbYAgPgU8UDlxz/+sZSUlMijjz5qGr716tVL3n//fWnXrl2kLw1h6H+ij0ePdj9OG7LpRoGu9SfsegwAiSnifVTU5MmTZffu3WbZsa700cZvSIz+J942BdTgxOp/4mmDQX3saeoIABBfoiJQQWIItP7EnwAHABBfCFQQNlb9idad+LMpIAW2AJC4Il6jgsTiqf7k++81Q5JqpnI8rVarr8AWABDfCFQQdq6bAmqR7IoVNlm7toPU1Njkyis9F8l6CnAAAPGPqR+EpB+Kr+/XLMnhwzqVU2Xu6yuSdS2wBQAkBjIqCEgwlgu7FskeOnTK3OuKHs2aEIwAABQZFfgtWMuFXYtkdTNBimQBALURqMBv/iwXrm96yCqSbdVK359m7imSBQC4YuoHfnPNhFgdZnUlTu1MiC/TQ/p47Fi7JCXtk9GjL2STQQCAGzIqCEk/FH+mh/R9WVknyKQAAOogo4KANLRc2NP0kAY1FMoCAPxBoIKg9EOxWDscJyf7Nj0EAEB9CFQQNLVrUs4+W2THDrrJAgACR6CCoHCtSbEyKBqkjBwpUlNDN1kAQGAIVBAU3mpSNEjRbrIAAASCVT8ISnt8djgGAIQCGRUEpT0+OxwDAEKBQAV1VuvUrjXRx7oUuaGggx2OAQDBRqACtwyKzaYbBIqcd15g/U88LVkGACBQ1KgkuNodZLW+ZN8+kcJCak0AAJFHRiXB1V6tk58vUlEhkpFBrQkAIPIIVBKk9kRX5XgKNjxtMNilC/1PAADRgUAlwVfveFut07JlpK4aAIAzCFQSqFOstXpHuWZZWK0DAIhWBCoJ1il22zaRzZvrZll8Wa3T0DQSAADBxqqfOOWpU6wGFxs3nlnho/eaZfGl+6xOIy1aJLJwoeNeHwMAEGoEKnHKqj3RmhOr9uSyyxxBi2uWRTMrOuXjzxJmfwIcAAAag6mfOFa79kT9+9/uK3w0gGmoR4q3aSRfm8ABABAoMipxTgMJ3b3YqkGpnWXxpUcKGw4CACKFjEqCCWSFDxsOAgAihUAlAQWyHw9LmAEAkUCgEmdCuYSYDQcBAOFGoJJgnWgBAIglFNPGCZYQAwDiUUgClV27dskdd9whXbt2laZNm0q3bt3k17/+tVRXV7sdY7PZ6tzWrVsXikuKORpgHDzoe6DhaQmxLz1SAABIuKmfr776Sk6dOiV//OMf5eyzz5YtW7bIxIkTpby8XJ599lm3Yz/44APp3r2783GOrqVNcIFM4XjaBdmXHikAACRcoHL11Vebm+Wss86Sbdu2yYsvvlgnUNHApL1+sqLBzQTrK2RlCTEAIB6FrZj26NGj0qpVqzrPX3fddVJZWSnnnnuuPPDAA+ZxfaqqqszNUqZpBxE5ceKEuQWLda5gntOX1Tr6pZWW2qR1a5GUFDH3OgV05IjdZEfqW9GTmysyerT7EuIwXX5MjXWiYpzDg3EOD8Y59sfZ13Pa7Ha7XUJsx44dctlll5lsik4BqYMHD8qf//xn+cEPfiBNmjSRJUuWyNNPPy1vvfVWvcHK9OnTZcaMGXWenz9/vmRkZEgsKilpKlu35khFRbKkptbI8eMpImKX7OxKKS1Nl+bNT8i555bK119nm2MyMk5K9+6HpE2b45G+dAAAAlJRUSHjx483iYwsrV0IRqDy0EMPyVNPPVXvMV9++aWcf/75zsf79u2TQYMGyeDBg+WVV16p97233HKL7Ny5U1atWuVXRiU/P98EPvV9oYFEesuXL5dhw4ZJiqY2QphJWbLEJocPn5nq0e+Ifinarl7ve/e2y6efuh+jyamxY+1xMbUTrrFOdIxzeDDO4cE4x/446+d369atGwxU/Jr6+fnPfy633nprvcdoPYpl//79MmTIEOnXr5/MmTOnwfP36dPHDEh90tLSzK02HcBQ/LCG6ryWo0cdUzV5eY7VOsnJjhqTa691TN1Y0z2ejtFFVM2bS9wI9VjDgXEOD8Y5PBjn2B1nX8/nV6DSpk0bc/OFZlI0SNEpn7lz55rpnYZs2rRJcrXQIoF4W61jbSRoYUUPACARhaSYVoMUnerp3LmzqUsp0T//T7NW+Lz++uuSmpoql1xyiXm8dOlSefXVVxucHoo3vqzWYUUPACBRhSRQ0ekbLaDVW57OV7hwLYl5/PHHZffu3ZKcnGzqWhYuXCjjxo2TRNtrx5cN/9gUEACQiEISqGgdS0O1LBMmTDC3eApCGrPXji8b/rEpIAAg0bApoY8aCkICbdQGAAC8Y1PCIG34x147AAAEH4GKD3wJQlxX72j/E73Xx55W5vi74SAAAImKqR8f+LLhn68rcxpTxwIAQKIhUPGBr0FIQytzqGMBAMA/BCo+8nV5sKeVOdZqIb2vPYWkgY+eM5BAJZCl0AAAxBICFT8EsjzYdarH2s04GB1mmUICACQCimnDuFpIMyfa704zII3pMOvLKiQAAOIBGZUwrxbSAGXEiDMbDgYyZePtvIFOIQEAEK3IqDRSfUuNvS1Z1g0Ha2866A9/lkIDABDLyKg0QkN1IqHaTJBNCgEAiYJAJUC+LjUO1WaCbFIIAEgEBCoB8qdOJFSbCbJJIQAg3lGjEiDqRAAACD0ClUbWiWh9CHUiAACEBlM/ntTUiK2gQDquXCk2TZEMGSKSlFTnMOpEAAAILTIqtS1dKtKliyQPGyaX//a35l4fm+c90OCkMUuNAQCAdwQqrjQYGTdOZO9e9+f37XM87yVYAQAAoUGgYqmpEbnvPkePe11+LGlyUHLMvfWcTJniOA4AAIQFNSqWVaucmZQ9ki8FMlDKJEuypEwGyUrpZC8UKSx0HDd4cKSvFgCAhEBGxVJUZO40g6JBSqlkSxspMff62GRWXI4DAAChR6Biyc01d8ekmcmktJdiaSqV5l4fl0um23EAACD0CFQsAwaI5OVJMyk30z3F0l6OS7q518eZUiGSn+84DgAAhAWBikX7pDz3nKTbqmSQrJJsKZUSaWPu9bE+L7NmeeynAgAAQoNiWldjxogsXiyd7rtPbti72Ez3ZEq5pOe3FZm12PE6AAAIGwKV2jQYGTVKkj/6SHYuWya9rrnGa2daAAAQWgQqniQliX3QINlXXi49dQMfghQAACKCGhUAABC1CFQAAEDUIlABAABRi0AFAABELQIVAAAQtQhUAABA1CJQAQAAUYtABQAARC0CFQAAELUIVAAAQNSK+Rb6drvd3JeVlQX1vCdOnJCKigpz3pSUlKCeG+4Y6/BgnMODcQ4Pxjn2x9n63LY+x+M2UPn+++/NfX5+fqQvBQAABPA53qJFC6+v2+wNhTJR7tSpU7J//35p3ry52Gy2oEZ6GvwUFhZKVlZW0M6Luhjr8GCcw4NxDg/GOfbHWcMPDVI6dOggTZo0id+Min5xeXl5ITu/fmP4P0F4MNbhwTiHB+McHoxzbI9zfZkUC8W0AAAgahGoAACAqEWg4kVaWpr8+te/NvcILcY6PBjn8GCcw4NxTpxxjvliWgAAEL/IqAAAgKhFoAIAAKIWgQoAAIhaBCoAACBqEajUo6qqSnr16mU63m7atMnttc2bN8uAAQMkPT3ddO17+umnI3adsWjXrl1yxx13SNeuXaVp06bSrVs3U1leXV3tdhzjHBwvvPCCdOnSxYxjnz595NNPP430JcW0mTNnyhVXXGE6Yrdt21ZGjx4t27ZtczumsrJSJk2aJDk5OdKsWTMZO3asfPfddxG75njw5JNPmt/HU6ZMcT7HOAfHvn375Kc//akZR/2dfPHFF8uGDRucr+u6m0cffVRyc3PN60OHDpXt27dLOBCo1OOBBx4wrX09tRQePny4dO7cWTZu3CjPPPOMTJ8+XebMmROR64xFX331ldn+4I9//KNs3bpVfve738lLL70kDz/8sPMYxjk4Fi5cKFOnTjWB4L/+9S/p2bOnjBgxQg4cOBDpS4tZBQUF5sNx3bp1snz5crNxm/6slpeXO4+5//775d1335VFixaZ43WrjzFjxkT0umPZZ599Zn5f9OjRw+15xrnxSktL5Qc/+IHZdHDZsmXyxRdfyG9+8xvJzs52HqN/JD7//PPm9/T69eslMzPT/B7RQDHkdHky6vr73/9uP//88+1bt27V5dv2//u//3O+9oc//MGenZ1tr6qqcj734IMP2s8777wIXW18ePrpp+1du3Z1Pmacg6N37972SZMmOR/X1NTYO3ToYJ85c2ZEryueHDhwwPyeKCgoMI+PHDliT0lJsS9atMh5zJdffmmOWbt2bQSvNDZ9//339nPOOce+fPly+6BBg+z33XefeZ5xDg79vdq/f3+vr586dcrevn17+zPPPON8Tsc+LS3N/pe//MUeamRUPNC04cSJE+WNN96QjIyMOq+vXbtWBg4cKKmpqc7nNLLU1K9GpgjM0aNHpVWrVs7HjHPj6VSaZqM0Teu6P5Y+1vFF8H52lfXzq2OuWRbXcT///POlU6dOjHsANHv1wx/+0G08FeMcHO+8845cfvnlcsMNN5ipzEsuuURefvll5+s7d+6U4uJit3HWPXp0Gjkc40ygUovOw916661y1113mW+cJ/oNa9eundtz1mN9Df7bsWOHzJ49W372s585n2OcG+/gwYNSU1PjcRwZw+DQKUytmdDU+UUXXWSe07HVALtly5ZuxzLu/luwYIGZstS6oNoY5+D49ttv5cUXX5RzzjlH/vGPf8jdd98t9957r7z++uvmdWssI/V7JGEClYceesgUYdV307oJ/bDUbaenTZsW6UuO63GuXcR19dVXm2heM1lArP21v2XLFvOBiuAqLCyU++67T+bNm2cKwRG6YPvSSy+V//mf/zHZlDvvvNP8LtZ6lGiQLAni5z//ucmU1Oess86SFStWmFRW7X0NNLvyk5/8xESY7du3r1NVbj3W1xKZr+Ns0cK3IUOGSL9+/eoUyTLOjde6dWtJSkryOI6MYeNNnjxZ3nvvPVm5cqXk5eU5n9ex1Wm3I0eOuP21z7j7R6d2tOhbP0QtmiHU8f79739v/vpnnBtPV/JceOGFbs9dcMEFsmTJEvNvayx1XPVYiz7WlbEhF/IqmBize/du+7///W/n7R//+IcpzFq8eLG9sLDQrcizurra+b5p06ZR5OmnvXv3mgK5m266yX7y5Mk6rzPOwSumnTx5slsxbceOHSmmbQQtLtQCZS1K/vrrr+u8bhV56u8Ny1dffUWRp5/Kysrcfh/r7fLLL7f/9Kc/Nf9mnIPj5ptvrlNMO2XKFHvfvn3dimmfffZZ5+tHjx4NWzEtgUoDdu7cWWfVj/6fo127dvb//M//tG/ZssW+YMECe0ZGhv2Pf/xjRK811oKUs88+237VVVeZfxcVFTlvFsY5OHTc9BfKa6+9Zv/iiy/sd955p71ly5b24uLiSF9azLr77rvtLVq0sH/88cduP7sVFRXOY+666y57p06d7CtWrLBv2LDB/NK3fvEjcK6rfhTj3HiffvqpPTk52f7f//3f9u3bt9vnzZtnfte++eabzmOefPJJ83vj7bfftm/evNk+atQos0rz+PHj9lAjUAkgUFGff/65iUD1A0D/OtVvInw3d+5cM66ebq4Y5+CYPXu2+WWemppqMizr1q2L9CXFNG8/u/pzbdFf4P/1X/9lsoL6S//66693C8QRnECFcQ6Od999137RRReZ37XammPOnDlur2tW5ZFHHjF/POox+kfmtm3b7OFg0/8J/QQTAACA/xJm1Q8AAIg9BCoAACBqEagAAICoRaACAACiFoEKAACIWgQqAAAgahGoAACAqEWgAgAAohaBCgAAiFoEKgAAIGoRqAAAgKhFoAIAACRa/f8KoEylxJgcJgAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] @@ -35,7 +35,7 @@ "fahrenheit = np.array([-40, 14, 32, 46, 59, 72, 100], dtype=float)\n", "\n", "# option 2: (X°C x 9/5) + 32 = 41 °F\n", - "points = 100\n", + "points = 1000\n", "np.random.seed(99)\n", "dataIn = np.linspace (-40,60, points)\n", "target = dataIn*9/5 + 32 +4*np.random.randn(points)\n", @@ -49,17 +49,17 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "text/html": [ - "
Model: \"sequential_1\"\n",
+       "
Model: \"sequential_4\"\n",
        "
\n" ], "text/plain": [ - "\u001b[1mModel: \"sequential_1\"\u001b[0m\n" + "\u001b[1mModel: \"sequential_4\"\u001b[0m\n" ] }, "metadata": {}, @@ -138,14 +138,14 @@ "hn=2\n", "model = Sequential()\n", "model.add(Input(shape=(1,), name='input'))\n", - "model.add(Dense(hn, activation='linear', name='hidden'))\n", + "model.add(Dense(hn, activation='sigmoid', name='hidden'))\n", "model.add(Dense(1, activation='linear', name='output'))\n", "model.summary()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 85, "metadata": {}, "outputs": [], "source": [ @@ -155,7 +155,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 86, "metadata": {}, "outputs": [ { @@ -173,8 +173,7 @@ "#hyper parameters\n", "epoch = 500\n", "lr = 0.01\n", - "hn = 2 # hidden nodes\n", - "tf.random.set_seed(42) # For TensorFlow\n", + "tf.random.set_seed(99) # For TensorFlow\n", "\n", "\n", "model.compile(optimizer=Adam(lr), loss='mean_squared_error')\n", @@ -185,19 +184,40 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(historial.epoch, historial.history['loss'], '.k' )\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 89, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "\u001b[1m4/4\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 4ms/step \n" + "\u001b[1m32/32\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 423us/step\n" ] }, { "data": { - "image/png": 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zMEmmezxVHX3VVVdh6dKlKktSq1b5T9mpU6ewf/9+FaTccMMN6th3333nvhskIiLP/jJ9PATJ94xCxg+HEX/rNV671NgRDFRqspmTm4wbN04FITK1M3nyZMTGxuLAgQNYvHgx3n77bcTExKiVPgsWLFAZFpnuefzxx917k0RE5D4lJdpS4yZNMGjQYO2X6TMpiB+Y4g+zPVYYqNjJk22FZSpHVv9MmTIFvXr1QkFBgZrmueWWW9TqHuk4K0HLP/7xDzXd07JlS8yZM0ctcyYiIj/0zjvAo4+qdEra/uuQMr6+x36ZdjUGKl5ow4YNNlcBffbZZxV+TI8ePdQKH0tGo9H8Z5k2snxNREQ+bMQI4MMPgWHDVE2CXud/AYoJAxUiIiJvV1AAfPSRFqDodEBICPDtt9qf/RwDFSIiIm9WXCwty4EtW2RPFRiGP3Bpmkfnt1kUSwxUiIiIvFlwMCBNPX//HfuKm2PZ3EvN3aK1Vane3P7eGdjwjYiIyNv2kJOUifTEMJk0CYZtv2JZbjetuVuC1uRNVvu4Yw86T2JGhYiIyJNt7y0yIxJ05H7/C6IeuBv61PowLF+L3PPBiIoKQm54g3Kd0iWWkZjGn6eAHM6obNq0SXVDlaWzsjx2mYz4JUVFRWop7ZVXXqk6rMo5f/vb35ApoaMFWYkiH2v5kA34nI2rXfwTP69E5PNt7y0yIzt3XtoAd2lDzM0cgi/3Nsbcf501b4grQYmpU3penvYcE+P6Tuk+G6jIbr1t27bFvHnzyr2Xl5eHnTt3Ytq0aepZltVK59QBAwaUO/fpp5/GsWPHzI8JEybAWUKkKvrS/ZD/MX1eTZ9nIiJfmOo5dqz8HnLHjxXj008vBS+tYnFswAOY0+YtHLsQYw5m1qwBevXSOqR7qlO6T0399OnTRz1siYqKwhoZUQuvvfYaOnXqpLqmNmrUyHy8bt26SJDPggsEBwcjOjoaJ06cUK8jIiJU1sYesleO7JOTn5+vmqqR61R3rCWTIkGKfF7l8yufZyIiX5nqkeBEtmEz7yG36SBqr/0S+bcNRUq7OPV+7JXJyPkKiI21nuaRH5fjx3uuU7pf16jk5uaqIEF+sFiSqZ5nnnlGBS/Dhg3Dww8/bHM/GxPpyioPk7Nnz5qnm+RRlrSWLy4uxvHjx6t1v/LDUH5whoeH2x3ckGMcHWvZJVo+v7Y+71SeaZw4Xq7FcXYPbx9nVWtyKZgQS5fqcOoU0LAhcPSofN8D6tQBMo8CcbvXode5d/DNrngcjr1dnSMZFFl+nJ1tVOfJx8TFSdBiRGiolk0Rrv7nu3Kc7b2mWwIV+SEkNSuyV438cDGRlu+y4Z7sXfPDDz9g6tSpavrn5ZdfrvBaM2fOxIwZM8odX716tcqYVER+API3b/8hwSdrVBxTNttJrsFxDtxxzsiog61bE2AwhECvL0LLlqexc2cDREcXID+/GAUFwcjJCUPPnocRFlaMmKa1oV/fHNHXxeC3Hftx6JD2cZ06ncWhQ5H44QftddOmWdi48bzfjLO9ZRk6oxO+20sQ8Pnnn2OQlC3biJiGDBmCjIwM1RreMlAp65133sHo0aNx/vx5hIWF2Z1RSUlJQXZ2dqXXri65b/nE9OzZkzUQLsaxdg+Os3twnAN7nCWTMm+edfZEfjTJT9pz54CGScDRb/YgPjQXYxZ2KTd1Y5mJkfcMZV770zjLz++4uDg141LZz+9arv4H3nnnnTh06BDWr19fZSDRuXNnXLx4EX/99ZfaWM8WCWBsBTEygK74YnXVdak8jrV7cJzdg+McmOMsSQIJSKQUU5L88iy1JX37Aps3Aye3p6PB2o8wMPgLRGcsBlq3tvp4qY6wrJCILvPan8bZ3uvVcnWQ8scff+Dbb79VtQRV2bVrlyqmrF+/vqtui4iIyGUk82FaQqwKZTO0epIOHbRHbs5liNKdgr7DfcDll3v6dn2Cw4GKTM8cOHDA/Do9PV0FGlJvkpiYiNtvv10tTV61apWqJ8i61GFP3g8NDcXmzZuxdetWdOvWTa38kddSSHvPPfcgRhaGExER+RiZnpEqCOmLopYQxxZjYN4n0Ne6TaYEoJdtjhe9FRCbCXo8UNm+fbsKMkwmTZqknkeMGIHp06djxYoV6nW7du2sPk6yK127dlXTN4sXL1bnSs1JamqqClRM1yEiIvJF0mE2JeVSbcmD90C/cjFgeAR48UXtBAYp7glUJNiorA63qhpdWe2zRXaCJCIi8sPMiip+/b+hwIYvgPbtPX1LPot7/RARETmzmlbazzZrpr2Wjuzp6dLUy9N35rPYcpWIiMgZpG6zY0dp3a4t/TFhkFIjDFSIiIicQQISCVCk+cmff3r6bvwGp36IiIgclZ8PhIdrf5YVqytXAklJpT3uqcaYUSEiInLE+vVaLcqaNeadkQ3N2jJIcTJmVIiIiBzx6aeqR/6+Jz7EssE91c7I0uxN+qjIEmVyDgYqREREjnjpJRiikrCs9mNqt2NTJ1pp9iZ9VDyxN48/4tQPERGRPRYvBiZOLH1duzZyJzyBnLwwFaTI3j7yfOaM1uyNnIMZFSIioqrs3w8MHw6UlAC33KI9KtnbR46TczBQISKigCAFr6qtfZQD0zItWwLTpmmBSo8eFe/tEw8MHMhpH2dioEJERH5v3z5g2TLYX/AqAcmbbwJ33gnExWnHpk8vDXhOlAY8Vnv7OBIEUaUYqBARkV+TwEKClGoVvD70EPDaa8BXXwGyye6ljQQrCnjMe/uQ07GYloiI/JpkOiSwqFbB6//9nxaJ9OtnM+BJSNCeJeCR4+Q6zKgQEZFfs6vgtbAQ+PVXoF077XXbtsChQ0BkZKUBj9SlyHFmU1yHGRUiIvJrpoJXCU5sFrwePw506QJ066YFJyYWQUrZgEc2SZZn6ZrPFT6uxYwKERH5PVsFr+ZVQBGx0NeqBQQFAenpQOPGNq/BFT6ewUCFiIgCgmXB676deVj2TW3k5OoQHR2CQc8tRVpLozafU8myZq7wcT8GKkREFFAMG7Zh2W3fIrtDLyT3a6etAtreECnXAGXjjspW+ZB7sEaFiIgCSu6Gn5BzphjJu79ERFhxhauAuMrHOzCjQkREASXqkf9D9Nb/IaNZZyQXBFfY9p6rfLwDMypEROTfVq0Cbr8dKC5WL/V1gzDolZsQnxxeaVEsV/l4B2ZUiIjIf506BQwbBpw7ByxYAIwZow7bUxTLVT7egYEKERH5r3r1gHnzgJ07gb//3eote9rec5WP53Hqh4iI/IfRCLz9ttZl1uTee4FXXgHCwhy6pAQnSUkMUjyFgQoREfmPWbOAUaNguHMkMv/M5wodP8CpHyIi8h8jRmDfy19iWaOnkTM/FNExpb1PyDcxo0JERL5LVvJ89535paFuApaNW4Psy29CQmIQe5/4AQYqRETkUyToyMwEinKKENyrF9C1K7B5c2nvk7xQq94ntpq5ke/g1A8REfkMU0v706eDkHWsFS6vczUur/0TcOxYud4nEqRU1MyNfAczKkRE5BNUS/slRcg+fhENGhhx9lwoll39DAzf7wJuu82q94kEJ+x94h+YUSEiIp+Qu3Ufcv79HZKvqIewFv1Rr14+cvLDkRvX1GozQfY+8S/MqBARkdfVn9gqfo06nY7oU38gY8cx5GXn4dSpcERHG21O6zja+6Syv588gxkVIiLyqvoT2QhQ6kzKLivW394Hg54+j+WFt+D4uQhERhaif3+j0zImVf395BkMVIiIyC0kS1F2OsZ0rFYtLUiQ5cSmItjlLx9Eyq9jof9yCRAZqc5Pm3YHUgxyXhG2bElHWloLp91bub9/uTaFxKkjH5362bRpE/r374+kpCTodDosk8+wBaPRiCeffBKJiYmoXbs2evTogT/++MPqnNOnT2P48OGIjIxEdHQ07r//fpw/f97xfw0REXklyVbMnQvMmaM9y2vLY6++Chw8iNJlxYkXceaTNcj9/hfg2WdtTuuEh2u7ITtjykYta86x+Pu5rNn3AxWDwYC2bdtinmz2ZMOsWbMwZ84cvPnmm9i6dSv0ej169+6N/Px88zkSpOzduxdr1qzBqlWrVPDzwAMPOHpLRETkhSyzFQkJ2vOSJcAnn5Qek3OOHAHS04G8PCDjWC3EDLsFUSMGA089Ve0gqLoslzWrvz8DiInhsmafnvrp06ePetgi2ZRXX30VTzzxBAbKujAAH3zwARo0aKAyL3fffTd+++03fP3119i2bRuuvvpqdc7cuXPRt29fvPjiiypTQ0REvs9WtsKUYG/eXDuWmgrk/XIQdU7okFW7yaVlxZdBn2b7l2FnT9mYljXLx3JZcwDUqKSnpyMrK0tN95hERUWhc+fO2Lx5swpU5Fmme0xBipDzg4KCVAZm8ODBNq9dUFCgHiZnz55Vz0VFRerhLKZrOfOaZBvH2j04zu7BcS5PApG6dXU4fBho2BA4elQLBGSjY/OxtfvQ7Nv/4r74Vcj/ai2imsapIKGiYTSN76lTF1Xzt8REo9ocOTEROH5ch+zsEoSGVu8+mzYFRo+2rqMJ9E9jkQu/nu29pksCFQlShGRQLMlr03vyXL9+feubqVULsbGx5nNsmTlzJmbMmFHu+OrVqxEh/zc4mUxLkXtwrN2D4+weHGdr0dF1sH9/Ag4dCoFeX4SmTbXv8+np2rE6scUYmrQdOdddgf2HNsOYEWzXdbdvX4esrFT8/nuo6qsiS5ZlNZAU2lrWsJD3fT3nyRybP676mTp1KiZNmmSVUUlJSUGvXr1UUa4zIz35xPTs2RMhISFOuy6Vx7F2D46ze3CcK17hM3y4xbGI5tCtWYPhw1uUHqu1HJIWaVKNce7f/2ZcfnkIVq7UISdHh6ZNjWrJsrNWAwW6Ihd+PZtmRDwSqCRIZRQk/XZcrfoxkdft2rUzn3PixAmrj7t4UVJ4p80fb0tYWJh6lCUD6IpvCq66LpXHsXYPjrN7BPI4V9SPRP4sD5SUaAdXrkT0woWIHjbs0kdWf7xkjK+8MgRNmrATra99Pdt7PZd0pk1NTVXBxrp166wiJ6k9ufbaa9Vrec7JycGOHTvM56xfvx4lJSWqloWIiPxjhY8UqFotGw4KAtq3V9kTXLjglL/X0U605P0czqhIv5MDBw5YFdDu2rVL1Zg0atQIEydOxLPPPovmzZurwGXatGlqJc8giaIBtGrVCrfccgtGjRqlljBLemn8+PGq0JYrfoiI/GeFj5Qd5p4shL4o71JKBcC0aYBkUlq29PQtk78GKtu3b0e3bt3Mr011IyNGjMB7772HyZMnq14r0hdFMifXX3+9Wo4cHh5u/piFCxeq4KR79+5qtc+QIUNU7xUiIvJNlv1ITMuF44NOIeq2QUBSlJrugU6ntaJlkEKuDFS6du2q+qVURLrVPv300+pREcm+LFq0yNFbICIiLyyeLdePJC0b+jnbgL8itPazzZo5fG1O7QQen1v1Q0RE3l88O36cEblndZeCi5bA4sVAhw5aJ7YaXpsbBQYWlxTTEhFRABfPvnYEuOEGJBWkl2ZAJMKoZpBiV2Eu+T0GKkRE5Lzi2YZGnFmxCbm7/gSmTHHutblRYEBioEJERA4rt5nfUR1ihvZB1PD+wPz5zr02NwoMSAxUiIjIYWozv5iNiP9rW2nx7MhY6D+cr0UVNb32IO2a3CgwcLGYloiIHLdpE9Ie7IqU0Bjkfr0ZUZ1aOjWQkMJZKW3hqp/AxUCFiIgcd8MNwK23Qt+kCfTXNgZKW2U5jQQnDFACFwMVIiKyn/TPkqU3t96qNW2T5m2ff679mcgFWKNCRET2Gz0aGDwYeO650mMMUsiFGKgQEZH9unbVAhPOxZCbMAwmIqKKFRcDJ09qHdeEbCQoO9w3berpO6MAwYwKERHZlpkJdO8O9OoFXLhQepxBCrkRAxUiIrItOBj47TcgPR34+WdP3w0FKE79EBH5KYd2HS4pAYIu/Q7boAGwdKn23Ly5K2+VqEIMVIiI/JBDuw7v2QPcey8wbx7QpYt27PrrtYAnkw3XyDMYqBAR+RnLXYdlIz/ZI0dan0iH10oDjZdfBnbtAiZNAjZvVj1SHAp4iJyINSpERH7G4V2HX30VGDUKWLFCBSmWAY8s+pFnCXjkOJG7MFAhIvIzdu86vGmTdeO2yEgYXlmAzIv1zfUtDgU8RE7EqR8iIj9j2nVYsh8V7jp88CBw881an5SOHdUS5LLTPLIq2RTwmKaQ5FrlAh4iF2KgQkTkh6rcdVh6oUyYoJ3QpYvNupY1a7RgRZ4rDHiIXIyBChGRny47LrfrsEQi3bqVpkReesm8FFlW9ZSd5pHgRGpTxo93YJkzkZMwUCEi8iEOr8J58kngmWeAoUOBhQu1XY+DgsxBj2zfU9E0T7mAh8iNGKgQEfn7smPRty8Mz89FblwbRJ03Ql+3/NLjNm2AX36peprHoUZyRA5ioEJE5CNsrcKRoEKOlwsYjEbg0CHgssvUy33R12DZI+nIMUYjep5We7J6tXXQI0HKyJHAxYsVByHsq0LuxuXJRET+tuxY1hD37w906qQiGXMmpija3A9FOuPLpshllx5LkJKUVHEmhX1VyN0YqBAR+diyY5mWqXR6pnZt4MgR4OxZ4McfbWZiZDPksDA7gh4L7KtCnsCpHyIif1h2LKkQqYgV4eHAxx8DhYWq8CTKUL5QVvYZ7NmzekuPLTM67KtC7sJAhYjIx5RbhSPN24YN0/qi3HOPdsyicKSiBnBySsuW9hfG2tVIjsjJGKgQEfk6yZ78+CPw//4fcOedQGio3ZmY6i49rrKRHJGTMVAhIvJ1U6YAp04BEyfaDFJMnNUPhX1VyJ1YTEtE5Gu2bwfGjgVKSrTXwcFal1lJdRD5GWZUiIh8iSy7kc0Ez53TOrQ9+KCn74jIpRioEBF5kSq7vsqymxdeANatA+66ywN3SOReDFSIiLxEhV1fv/pKW57TpIl2omRR5CH79RD5OZfWqFx22WXQ6XTlHuPGjVPvd+3atdx7DzKNSUQBqMKur6++BUPf25F5x0Mw5BRpJ0uAUiZIkY/PzGSXWPI/Ls2obNu2DcXFxebXe/bsQc+ePXHHHXeYj40aNQpPP/20+XWEtDskIvIi7tiEr6J9fHZc1R8/hGciR9cF0a8Bg24vv7cO998hf+bSQCVeugFZeP7559G0aVPcdNNNVoFJgvz6QETkhdwVBJR2fTUiOeQ4MooS1LEN+xJwduSjSG6ht7lbco12VCbyAW6rUSksLMSHH36ISZMmqSkek4ULF6rjEqz0798f06ZNqzSrUlBQoB4mZ2UvCwBFRUXq4SymaznzmmQbx9o9OM7VJ0HA0qU61aKkYUPg6FHgs89kZbCxwiDA0XGW9if9ehbii5HLcGzvUcSOHYbOXRrgm2+CkNg0DGFhF5GYCBw/rkN2dom5XYoEKKdPByEx0aj27rF1jj/i17Pvj7O919QZjbIXuOt98sknGDZsGA4fPowk2ZoTwIIFC9C4cWP1evfu3ZgyZQo6deqEz+Q7QQWmT5+OGTNmlDu+aNEiThsRkVOdPh2OVatSER1dgLCwYhQUBCMnJwy33pqO2Nh85/+FRiOufPolhO5Kx+FRd+LIzTfjiy9ScfZsKOrVy8epU+GIjCxEv37pCA/XptXz84OrPIfIG+Xl5am4IDc3F5GRkZ4PVHr37o3Q0FCsXLmywnPWr1+P7t2748CBA2qKyN6MSkpKCrKzsyv9hzoS6a1Zs0bV1ISEhDjtulQex9o9OM6OZVTmzbPOqMTFVZ1RqdY4Sx2ffBs2bSiYnQ3dn3/C2KmTeepp5UodcnJ0iI42on9/o80alarO8Tf8evb9cZaf33FxcVUGKm6Z+jl06BDWrl1baaZEdO7cWT1XFqiEhUkKNKzccRlAV3yxuuq6VB7H2j04zvaTmpEhQ7Saj5MntR2HZRM+Oe6UcZbIRzYRvOEGwLSoQOZu5HHJlVdqq5IrK+a15xx/xa9n3x1ne6/nlkDl3XffRf369dGvX79Kz9u1a5d6TrT4n5SIyJNcugnf998DGzYAO3cCDz0E1Kvn8N463H+H/JXLA5WSkhIVqIwYMQK1TKlNtSv5QVVX0rdvX9SrV0/VqDz88MO48cYb0UbaQhMReQmXBQGy0/HBg1rapoIghSjQuXxTQpnykQLav//971bHpV5F3uvVqxfS0tLwyCOPYMiQIZXWsBAR+bS9e7W29xculB6bOhVo0cKTd0UU2BkVCURs1etKAezGjRtd/dcTEXmHixdhuPUu5P51GlEJz0D/7395+o6IfAL3+iEicmL32oq6JOw7UAvLbv4cOd/+hOg6fTBoH7vHEtmDgQoRkRO719atK0uE62hvbNokSxtgaHOt1j02pjmSJzRDxlEdu8cSeUuNChGRPzJtAnjihPVmgtJzZevWBOR9vAro1g24+27kHsop3cdHr1PPZ85oGRgiqhwzKkRENcigBAVpPVauuEKb9pHGcIcOhSCnfVdESXOT665DVL1al/bxKd2PR7ZCk+XORFQ5BipERNVQdhPA9HTgyBEtSEkNzcDR4gTo9UWIalgHhm9/RG5QDKLqaJsZynSP7IgsQYo0jpNpH3fszEzkyxioEBFVgwQV5mkcCU5SgTyDEXU2fYmsXbsRN/xWNL32BI4caYEvvoix2nV5/HjroMRdOzMT+TLWqBARVYMEGaZpnLw87blZcx0eumYr/oHXML7pV4iLu4AVK3TmuhV5lmyKkD1ZTZkUy9oW0zlynIhKMVAhIrJRJFtRwCBBhmQ+4uOMyMooMk/j1H/1/yHpu09Q+4mHkZcXgtxcnTnrYqt4tmxmhgW2RLZx6oeI6BJ7p2LS6p1EysYxyA2NR9T016Gvo5MtU1XhLIqKEBFRhKgoY6XFs5aZGRbYElWMGRUiIlRzKiY9Hfq1y5H0zbvQZ+wv93Z4eDEGDDCqwKNs8Wy5zEwl5xARMypERBVOxUgAIcfLBQ+dOgHz5wMdOlRY/SqHZXVyZSt6XLozM5GfYEaFiKiCItmYmEtTMX/+Cdx6K3DsWOkHyEarbdtWek0JPEzFszU5hyiQMVAhIqpqKmbkSOCLL4AJEzx9m0QBh1M/RERVTcXINM9DDwEvv+zhOyQKPMyoEBGVnYrJ3A79N59ZRzDffAM0auTJWyMKSMyoEBFZ2rIFuPFGIDQUaN0aaNHC03dEFNAYqBARWerYEejSBahXTytUISKPYqBCRCRZFFlyLFshBwcDq1Zpc0A6aeRGRJ7EGhUiCmxPPAFcey3wyiulx+rUYZBC5CUYqBBRwO7bo8gyH3H0qLtui4iqgVM/RBRY+/YYjcD580DdutqJDzwAtGsHdO7s6VsmIhuYUSGigNm358SBXGQOHgdDt1vV5oGKTPEwSCHyWsyoEFFA7Nuzdy/w6qtAydctEF0YhUGLdiJtBAMUIm/HQIWI/HrfHglS0tOBI0eAiJZRSP1bT2QYYrA8KwkpBu6xQ+TtOPVDRH5XOGvetyc0F1lzPkGd88dUzWxqKhBx9RVI7piEM2e0zAsReTdmVIjIbwtnUw49htz0VahV53K8M3QNMjJ0KsMimRbp5aZ2RiYir8aMChH5ZeGsyqzMmYmkWzug/qevY9Bgnc2dke1awkxEHsOMChH5T+FsTiaSD/2JrFrXq+P6pHrAihVqZY+sTC67M3KFS5iJyGswo0JE/lE4uzcHec+9goxPtyDm9IHSaR2LDrNqZ+Sk0kxKRZkYIvIeDFSIyKeZC2ebRSPr8m6Ibx6NgfdGVbmax9YSZhbYEnkfTv0QkW9vJtimDdLSIrRpnTu7IyouBPq6QdVewswCWyLvxIwKEfkkw6x5yOxyOwzjp5RO66SG2RWkWGVibBTYEpH3YEaFiDxKakIsC1ztoYpgf++NHOM5RO9qgkF7i5F2RXC1/261hLlMgS0ReRcGKkTkMdVedXPmDAyhMVoRbHQzJD96DzKMyVi+Cki5zLFAQz6GAQpRgE79TJ8+HTqdzuqRZvFdKD8/H+PGjUO9evVQp04dDBkyBMePH3flLRGRl6jWqpu8PODBB1U9Su5fZ0qLYJsnswiWyM+5vEbliiuuwLFjx8yP7777zvzeww8/jJUrV2LJkiXYuHEjMjMzcdttt7n6lojIC1Rr1U1JCbB+PXD0KKK2rjYXwUr8Is8xMSyCJfJXLp/6qVWrFhLk16UycnNz8Z///AeLFi3CzTffrI69++67aNWqFbZs2YJrrrnG1bdGRB5U5aobo9HcA8Wgq4PcuUsRVZQN/a3dMGifln1hESyR/3N5oPLHH38gKSkJ4eHhuPbaazFz5kw0atQIO3bsQFFREXr06GE+V6aF5L3NmzdXGKgUFBSoh8nZs2fVs1xLHs5iupYzr0m2cawDc5xDQ4F+/YCVK3XIzNQhNtaIvn2N6njRsWwEjxqFkvvuw28tB2LFCh1ycy9HVJQRAxoXqTqW0aOti2C95J/ldePsrzjOvj/O9l5TZzTKry2u8dVXX+H8+fNo2bKlmvaZMWMGjh49ij179qgpn5EjR1oFHaJTp07o1q0bXnjhhQrrXuQ6ZUlmJkLyx0TkU/Lzg5GXF4KIiCKEhxerYy0+/hitPvoI2THJeKTPl8g1hKNevXycOhWOyMhC9OuXbj6XiHxTXl4ehg0bpmZYIiMjPZNR6dOnj/nPbdq0QefOndG4cWN88sknqF27tkPXnDp1KiZNmmSVUUlJSUGvXr0q/Yc6EumtWbMGPXv2REhIiNOuS+VxrN3Dp8a5Rw+UGI0w/O1xNPj2crRpYFR1LFKTcvy4Dtdc00K1wvdGPjXOPozj7PvjbJoR8arlydHR0WjRogUOHDig/tGFhYXIyclRx01k1Y+tmhaTsLAw9ShLBtAVX6yuui6Vx7EO4HFOTwc++AB48kmtLkXu76OPEGcAYn8Gjh3T6ljkWWpS4uKC1SnezCvH2Q9xnH13nO29nls708o00MGDB5GYmIgOHTqom1y3bp35/f379+Pw4cOqloWIAsS5c0DHjjKvKxX1Vm+xeywRuTSj8uijj6J///5qukeWHj/11FMIDg7G0KFDERUVhfvvv19N48TGxqppmwkTJqgghSt+iAJI3brA5MnaMp7u3cu9ze6xRIHNpYFKRkaGCkpOnTqF+Ph4XH/99WrpsfxZvPLKKwgKClKN3qSotnfv3nj99dddeUtE5A127tS6vJkKTR59FJDas1q2vyWxeyxR4HJpoLJ48eJK35cly/PmzVMPIgoQixYB990H3HADsHo1EBwMBAVpjxrs/0NE/ol7/RCRe3XooBXLShRy4QJQp07N9v8hIr/m1mJaIvJfkgXJzKxgrx7LPbxattSmfpYuLRekVGv/HyIKCMyoEFE51Z16qTALIp0np04F5s8Htm+HIbmldt3kltBr3fGr3P9HVvvIcU4BEQUmBipEVKOpF8ssiGnPHsmCyEodfXiQlj05fx773vkBy2JaVnrdKvf/IaKAw6kfIqrR1Eu5LEhDI86cNmq7IEuh7H//C8PHq7AsZmSV12XfFCIqixkVIqrR1ItVFqTeBWR8sA7xqXURFXWTdkLDhsi9viFydtp3XfZNISJLzKgQkc2gQ/bVkeeYmMqnXqyyID8cRPy+/2Hgun9Abzjh8HXlmtJihUEKETGjQkTlgg6ZlqnO1Is5C3LPFYiaCeiHvQHUr1/j6xIRMVAhIsenXmQ98gsvALNnQ68PhV6W8rz2gs3VQ5zSISJHMFAhCjASPMj0S2XBgl0t64uLgZtvlt1EtcKTmTPtWj3EAIWIqoM1KkQBJCOjDubN02HOHGDuXC2YcJis6JHgpF07rSW+BTZuIyJnYaBCFCAkSNi6NQGnTtUgePjtN2D37tLXgwcD27Zp3WarWD105ox2nIioOhioEAUICRIMhhBZLexY8LBmjbZPz+23qwZuZjZ2PHZk9RARkS0MVIgChFaTUoSjRx0MHiRIqVcPuOwybTPBSrBxGxE5C4tpiQKEBAmdO2chN7el/cHDkSPaUh0RGwt89532Oqjq33G4yoeInIGBClEASU4+j+HDjVWu+oHRCDzzDPDss8DXX2ure0TjxtX6++xaPUREVAlO/RAFGLu6vup02tyQ7H785ZduvDsiImvMqBBRqZKS0mmdV18FevcGhgyxeaplMzdmTYjIVRioEJFWXfvII8DFi8Bbb2nHZGlQBUFKRc3ciIicjVM/RH5Msh7S5b7KXik7dwLz5wP/+Q/wyy9VXpPN3IjIXZhRIfJTZbMe/fpVcvL11wOzZgFt2wJXXlnpNI+tZm6yikiOcwqIiJyNgQqRH7LMekggIXWxK1fq0LRpsHaCtKd9/HHg+ee13iji0UftCnh69Spt5ma6tix1ZjM3InIFTv0Q+SFbWY+cHB3y8kK0E+68E3j7bWDMmEqnh2xN80iDWglW2MyNiNyBGRUiP2TZwt6U9YiNNSIiokg74cUX1UaC+4bOwLK5FRfFVjTNI0HL+PFc9UNErseMCpEfKtfCPvg0BtTfgvDwYu2E9u1h+O4nLNvfqtKi2Mr27LGrHwsRUQ0xo0Lkp8wt7L/fg6jbeyIiOB+Zs2eb3889F1RlUawp4JEAhtM8ROQJDFSI/JhqYd+tJZCWgpLgS4W0lUwP2SqK5Z49RORJnPoh8kcHD2r79YiQEGDVKhSvX48LEok4sMMxp3mIyFOYUSHyN6+9pnWZledRo7Rj9etr+/aUwWwJEXk7ZlSI/E1+PlBYCHz7rV2nM1tCRN6MGRUifyB79NS69L/zpElAs2baPA4RkY9jRoXIl0nmZMoU4JZbgOJLS49l92MpPtHpPH13REQ1xkCFyBs2BXSULNWZNw9Ytw5YvdpFfwkRkedw6ofIRcrukVO262tNqY0Cw5sg6rV3oY8OAfr0cd7FiYgCIaMyc+ZMdOzYEXXr1kX9+vUxaNAg7N+/3+qcrl27QqfTWT0efPBBV94WkcvZ2iOnbNdXh5w9C/zf/2Hfl39i7lxgzhxgbtYd2Jc2yEl3TkQUQIHKxo0bMW7cOGzZsgVr1qxBUVERevXqBUOZ79ajRo3CsWPHzI9Zst08kQ+ztUfOmTPa8RpNGU2cCMN/PsKyB75AdrbRuUEQEVGgTf18/fXXVq/fe+89lVnZsWMHbrzxRvPxiIgIJMh3XCI/YW/X12pPGT37LHJ3HEPOlYOQnKyrsPU9EZG/cGuNSu6lXydjY2Otji9cuBAffvihClb69++PadOmqeDFloKCAvUwOSupcEgvqyL1cBbTtZx5TQqcsQ4NBfr1A1au1CEzU6d2Lu7b16iOV/bPlKzI0qU6nDoFNGwIHP3dgM9m/Imxb7TWgpD4eERsWI66rwfh8OGL2jlHgbg4CfiNlV7bH8fZG3Gc3YPj7PvjbO81dUajqc+2a5WUlGDAgAHIycnBd999Zz6+YMECNG7cGElJSdi9ezemTJmCTp064bPPPrN5nenTp2PGjBnlji9atKjC4IbIU/Lzg5GXF4KIiKLSnYsrOUeeV61KRXR0AeoU5SL5k1XILoxBp3/WRa2ODc0fk5FRB1u3JsBgCIFeX4TOnbOQnHzejf8yIqKaycvLw7Bhw1QSIzIy0vOBypgxY/DVV1+pICVZctUVWL9+Pbp3744DBw6gadOmdmVUUlJSkJ2dXek/1JFIT+pqevbsiRDZK4VcJpDHWqZ5VqzQITdXh6goI3r0MGLt2ksZlSQgc8GXiD/3Jx5c1gP6q1qWX/VTjdb3gTzO7sRxdg+Os++Ps/z8jouLqzJQccvUz/jx47Fq1Sps2rSp0iBFdO7cWT1XFKiEhYWpR1kygK74YnXVdam8QBtrCTS++EIrsjXVsWz49CT6DInCmo2hOJkN1B/eCwMH6RDdtvzXvNSvyKO6Am2cPYXj7B4cZ98dZ3uv59JARZI1EyZMwOeff44NGzYgNTW1yo/ZtWuXek5MTHTlrRF538qgrO3I+ngDEs7lYfxLT17KloSzQJaIAppLAxVZmiy1I8uXL1e9VLJkaYJaERGF2rVr4+DBg+r9vn37ol69eqpG5eGHH1Yrgtq0aePKWyPyGNOUjWzNY7Uy6HwU4i+eRNQfv0EfdhH6JPZjJCJy6XfCN954w9zUzdK7776L++67D6GhoVi7di1effVV1VtFak2GDBmCJ554wpW3ReQxZZcet2lViF/2harlxfHXNsfA/gOgHzlT26+nmqpbs0JE5AtcPvVTGQlMpCkcUaB1q01OKkHGZ1vwy8ubMXLLA7gYXvdSgHGdV7brJyLyFG5KSOSJmpSgfCTvWY0zJwtx8dPlSEpyPAvisnb9RERegJPgRB7pVhuBjD73I77kJKLGXeX0dv3sVEtE/oIZFSJ3uHAB+snjMCj+e9VKX9WktEvBwBlX2RVMVLj3T5kAKC9Pe46Jsa9dPxGRt2NGhcgdZs8GXn8daYmfI2X3QeQW1ra76LWq+hO5hhyT6R4VAMUDAwcym0JE/oGBCpE7PPYYsGkTMHky9HG1oXekAPdSUzgJSFJSrAMRCVzkGFf9EJG/4dQPkSucPg28+Wbp69q1gbVrgV69alx/Ip1sL+3vaUWCk5oU5RIReSNmVIic2KNEnXcsD1E3Xwf9kX1aschddzmpAFd7lqkd1p8QUaBgoELkpB4lpedFILrZvzEo+BWktWhRo7+b9SdEFOgYqBA5oUbE8OshLPsoDtkX9Np57bpjedebkNIizO56lIqw/oSIAhlrVIhqWiPy5ZfIvaY3chZ/heSGRu28RsE4kxdms5bEEaw/IaJAxUCFqBJ29Shp2BBR+ccRXXACGekF7GVCROREDFSI7KgRMTdpM9WI6PJKT2rbFvoNX2DQF6MQ3zCctSRERE7EGhWi6tSIRBqh/88cYOZM4McfgUaNtJO6dIHU16Y0YS0JEZEzMaNCVJ0akbCLwEcfAcePw/D6++Xa2rOWhIjIuZhRIaqOkBBg0SLse38rloXfjZw5lS9ZJiKimmFGhaiyTQBzioDHHwfmzy99r0ETLKs9FNmndEhI0JYuy5JlWxsGEhFRzTCjQlRZg7c/d2PQkmVICz8EDBgAJCbaXLIsBbRynFM+RETOxYwKUQUN3lS2JKU9lrd7Cob/LFZBit1LlomIyCkYqBBZyD16Hjlf/YDkpBItW5IShDO9hyK368Cqlywzm0JE5HSc+qGAZ95wsG4Jou7ohejdNyDjIpB8R5cKNwFkW3siIvdgoEIBzXrDwSAMGv44Bp18FcvbPFhltkSOMUAhInItBioU2PUo/z2L7OPFSG4do204GD8A43d1x3i9ntkSIiIvwECFAlbuuu3IeeUHJEdfQET7SUhODtFW71zUI4nZEiIir8BiWgpYUa1TEK3LRUZRA+SdOM/VO0REXogZFQosZ88CkZHqj/omDTDoo7uwfHcqss6HcPUOEZEXYqBCgcFoBN57D3j4YeDrr4FrrlGH0wa0QEp3rt4hIvJWnPqhwLF6tRaRLFhgdZgbCRIReS9mVCgw6HTAm28CXboAY8d6+m6IiMhOzKiQfyouBp57DnjssdJjMrczYQIM+cHahoPcRJCIyOsxo0L+6fvvgSeegAERyO35N0Rdd6Wa2rFu8Ka1wpcus0RE5J0YqJB/uvFG7Bv1Epbl3IScda0RvRPo1UsrU5ENB2XHY9XgbbnWCp/1KURE3olTP+QfLlwAnnpKW35s6jrbZBKyG3VAQqJOBSdLlwInT2pBitpwMBk4c0arryUiIu/EjAr5hzvvBFatguH3o8h96W3k5WnTO5ZByeHDQHi4lkkxZVRsbThIRETeg4EK+f6ux9L/5PHHse/Hs1hW+zHkzNGCk8JC66CkQQOgZ09gzRpUueEgERF5B68IVObNm4fZs2cjKysLbdu2xdy5c9GpUydP3xZ5sX1bcrDsw/PIqZOsimJ79boOq8evRXZuCJITtMBEViRLEGMZlEjhbMuWbPBGROQrPB6ofPzxx5g0aRLefPNNdO7cGa+++ip69+6N/fv3o379+p6+PfJChp37saz3Z8guikLy1HuQkR2p6k/y80NUYaxpqkcClKFDtdeWQYk8M0AhIvINHi+mffnllzFq1CiMHDkSl19+uQpYIiIi8M4773j61shL5UY1Qk5oPJL1ZxBRfF4FJVJLGxamZVKkPsW0wWBiIrvOEhH5Mo9mVAoLC7Fjxw5MnTrVfCwoKAg9evTA5s2bbX5MQUGBepicvbTKo6ioSD2cxXQtZ16T7B9rq/oTCTJOnQLq1VPvRdSrhbp/G4jDBXXQsG4Ijh6+iLg4oEcPI9au1SEzU4fYWCP69jUiNFSu67F/mlfh17R7cJzdg+Ps++Ns7zV1RqPs1uYZmZmZaNiwIX744Qdce+215uOTJ0/Gxo0bsXXr1nIfM336dMyYMaPc8UWLFqlMDPm+jIw62Lo1AQZDCPT6Itwa+hUGLZ6O3Q88gKM33WTznM6ds5CcfB75+cHIywtBREQRwsOLPf1PISKiCuTl5WHYsGHIzc1F5KVd7b2yRqW6JPsiNS2WGZWUlBT06tWr0n+oI5HemjVr0LNnT4SEhDjtulT5WBcWhmDePJ3KkLRtCxw9ChzclYEigxFX7dmDts8/r1XJAhg+3DLr0sLT/wyvx69p9+A4uwfH2ffH2TQjUhWPBipxcXEIDg7G8ePHrY7L64SEBJsfExYWph5lyQC64ovVVdel8mScc3JCcO4c0CjFiAi9Do0aAVm1eiC31xvQPzIUQRafC1ntIw+qHn5NuwfH2T04zr47zvZez6PFtKGhoejQoQPWrVtnPlZSUqJeW04FkX+R+pOKNgWMijQieu/3yHhjBfIMRq0otl4woib8Tb6qPXG7RETkQR6f+pFpnBEjRuDqq69WvVNkebLBYFCrgMj/2NoUsGnT0vf1x//EoG/GYHlRH2R91wrxnVqYm7KVK7AlIiK/5/FA5a677sLJkyfx5JNPqoZv7dq1w9dff40G0kaU/Iraf2dZ+U0BR4+2OKlpU6TNHYeU80bk3t0cUdFaUMJdj4mIApPHAxUxfvx49SD/JtmQsvvvZGUW49xTL6P2FTGlJ44eDUmY6KsIcLjrMRGR//N4wzcKHDJlI9kQq6Zsm1Ygds7T6PDKK1KgZHeAw12PiYgCAwMVchvJfsiUjey7Y95/59mOiLisPg4OGCDd/uwPcGK46zERUSDwiqkfChxpDc8h5YrtyL2q26Wi2GTk/LgXe1f9Dy0MtpcbmwIcme7hrsdERIGFgQq5j0QZN94I/eHD0G/bBiRdqYpkly4Nxc6dqar1/ZAhtotk5ZjUpHDVDxFRYGGgQg6r9nJhWcnVvLlsc6w+2FQkK9v4REcXqOfKimS56zERUeBhoEIOsXu58MmTWkFJrVpa6/v33weCg9Wx3Ezt4xs2lNilWD3L6RL8MCAhIiLBYlqqNsvlwrLTgTxLJqRcp9nVq4HWrYHnnis9Jpv4SOBiUSQr+/kUFASrZxbJEhGRJQYqVG12Lxc+eRKGE+eRueR7GM4UVlgkK7FLTk6YemaRLBERWeLUD1Wb5XJhUwM2WYmjMiFGo3l3430dhmPZHa2Q0+hKRM8PsTk9JK/HjjXi88/TMXhwKjcZJCIiK8yokHP6oQwwQr/kPeC664ALF0qnhxpdhYTkkIqnhy5dLzY2n5kUIiIqhxkVcki55cJFucCUKcCJE8CCBci946Hy7fKzWChLRETVw0CFHGa9XDga+OADGDbvRu5t49Uinwqnh4iIiOzEQIUcU1wMzJoF3HQT0KWLOrSvcW8s+6k3cuZpQUqbNsAvv7CbLBEROY6BCjlm9mzgn/8EGjcG9u6FAfpyOxxLkDJyJHDxIrvJEhGRY1hMS44ZOxZo2xaYMUMVoVS0ZFmClKQkBilEROQYBipkk6zOycy0WKUjbe+XLi09ITIS2LEDGDFCLUfmDsdEROQKnPqhqtvj35KPtPuuAX7+GVi1CujXTztRWuFfwh2OiYjIFRiokNUGg7Jap2ytyfJvwpFyfW/oJcUSElLhNbjDMRERORsDFbLKoAQFaRsDXpFqQIQuCMnJtbX+J488Df0TD2ub+1SCOxwTEZEzsUYlwJXdYFBeH/nlNNJnfoS8D5YgI8Oo1ZrUD6sySCEiInI2BioBruxqndRUIKV+IeqcP4GsPy8gPiKPtSZEROQxnPoJkNqTimpGzKt1jpQgOSVI1aQ0uy4BI+/ogIudr0NUQz2DFCIi8hgGKoG0esfG7sVqtU7Eaiz/YDey7n4Q8cl1VAalflpvT902ERGRGQOVAKg9Ma/eWa6tyhHmLEvYRaS9/ShSsg8it+A8osZPZwaFiIi8BgMVP2WrU6ys3pEebT/8YJllqYW0xYuhX7gQ+un/DwhxfBqJiIjI2Rio+CnLTrGmjIoc2/CtEWc3/YTkJCMyLnbQsizjL4f+uedqPI1ERETkbFz146dMnWKlQ6ypU6xsdJy3/Vckr38fEUveR3KdHLUfj2RJqrOEWZ4lwDG31yciInIRZlT8WNlOseKHa1sh45frkXxVfWScj1IBTFX78VQ0jSTHOQVERESuxIyKn9OHFiHpm3ehr12iZVluC0L8g7cjq8VNiI/X2dUjhRsOEhGRpzCj4s+MRqB3b+Dbb7X0x8SJWpZlgq5aRbHccJCIiDyFgYo/0+mA228Hdu7U5mtqsB8PNxwkIiJPYKDiZwzHzyP36HlEtUzQgokxY4DbbnPKPj3ccJCIiNyNgYof2bfidyz7+wrkhNZH9LhhGDSkFtLSdNxMkIiIfBaLaf2EWkL8fTyyz4UiwXAQ2ennuISYiIh8nksClb/++gv3338/UlNTUbt2bTRt2hRPPfUUCgsLrc7R6XTlHlu2bHHFLfkcCTAyM+0INIqKSpcQ62KQPLofIqZPRnLrGLt6pBAREQXc1M++fftQUlKC+fPno1mzZtizZw9GjRoFg8GAF1980erctWvX4oorrjC/rlevHgKd3V1gV68GRo0CVqxAVLO22hLii02RrNOWENvTI4WIiCjgApVbbrlFPUyaNGmC/fv344033igXqEhgksAaCrs2EyxXyDpvHnD4MPDss9AvWcIlxERE5HfcVkybm5uL2NjYcscHDBiA/Px8tGjRApMnT1avK1NQUKAeJmfPnlXPRUVF6uEspms585qVMW34Jw3VTp8OQmKiEWFhQGIicPy4DtnZJWqWx2p58JtvIqhlS5Q88YSaAmraFBg92vocN92+T411oOI4uwfH2T04zr4/zvZeU2c0Slcw1zpw4AA6dOigsikyBSSys7PxwQcf4LrrrkNQUBCWLl2KWbNmYdmyZZUGK9OnT8eMGTPKHV+0aBEipL+7D8rIqIOtWxNgMIQgNPQi8vJCodMZUa9ePk6dCkdkZCHatT2B9M/O4UKuDoVXNUHnzllITj7v6VsnIiJySF5eHoYNG6YSGZGRkc4JVB5//HG88MILlZ7z22+/Ic2ioOLo0aO46aab0LVrV7z99tuVfuzf/vY3pKen43//+1+1MiopKSkq8KnsH+pIpLdmzRr07NkTISEhcGUmZd48HU6dAho2lPHSGspKRiQvT4foaCO6dzdi7X+O4MxbS9EQmTgy7DHEXVEfY8ca/WJqx11jHeg4zu7BcXYPjrPvj7P8/I6Li6syUKnW1M8jjzyC++67r9JzpB7FJDMzE926dUOXLl2wYMGCKq/fuXNnNSCVCQsLU4+yZABd8cXqquuayFTPuXNAo0bahn/yLDUm99yjvZaARaZyzsU2QfI1yYhocAUadUhA1okg9bFSQOsvXD3WpOE4uwfH2T04zr47zvZer1qBSnx8vHrYQzIpEqTIlM+7776rpneqsmvXLiRKUUYAsdzwz1Q8K0Oc2KAE+kVvSZoJiKqtnXPd3UhO1nFFDxERBQyXFNNKkCJTPY0bN1Z1KSdPnjS/Z1rh8/777yM0NBTt27dXrz/77DO88847VU4P+ZsKN/x78F4pvAF+/hn611+/dI6OK3qIiCiguCRQkekbKaCVR7LFZnjCsiTmmWeewaFDh1CrlrR6T8PHH3+M22UTPR9mWr1TnY37bG74N2KE6o+Cq6+u+BwiIiI/55JARepYqqplGTFihHr4UxBid6M2G/TB+dCfOwQktdQO9Ool7Xul0UzpOdwUkIiIAgw3JbRTVUFItRq1lXXokDaXc/q0mupBTIx2nF16iYgowHFTQjtYBiFSYiPPZTf8U3vt5GhBiqzWkWe799qRRnhysfx8aTrjyn8KERGRT2FGxQ62ghApapXjpmxJRat3bK3MUVNIx/MR1SBc+/i6dYHPPwfi4rRIiIiIiBRmVOxgGYRI7xJ5ltkZyyDEtHpHgpPKVubIFNLcR/7CnPbvYO6YX9VrpXVrBilERERlMKNSkyXEZYKQqlbmmKeQdqQj+ex+ZKyJxPLLWyFlgo5FskRERDYwULGTvcuDba3MsdxwUE0h3Xk9IhqcRfL1vZGVo7OaQnL1UmgiIiJfwkClGhxZHqxWCz37C3L2ZiJiUC8UFuqQcTwEyT0G1qjDbE2WQhMREfkK1qi4kJrqeec0shetRsKuL3F2xx/Q6bTApCYdZu1ZhUREROQPmFFx9WqhoFgk922LiKLLkHxjE2RlA0OHlm446MiUjT2rkIiIiPwBMyo1JFmMzEyLbIZsESA7RR87VrpaKK0H8voMQUZWLbVaSPZdTEpyPKiwZxUSERGRP2CgUgNqqfFcYM4c7VktNZ4yBRg9Wu16rK9dYteS5eqydyk0ERGRr+PUj4MqbJl/19+hlx2gb70VUpDiqs0EuUkhEREFAgYqDjLXiSReRET2USQnN9bqRBLToJfNBCMjXb6ZIDcpJCIif8epH9SgTiTUgIyXPkbe7NeR8cvp0joRiyCFiIiIHMdApSZ1IneFIz78PLKQgHjjSdaJEBERORmnfqpLltmEhwNBQUi7Ihgp3/RH7uliRLVOYZBCRETkZMyoVMdPPwHt2wOvvmo+pG+ehKTODFKIiIhcgYFKdWzdCvz+O/Daa0BBgafvhoiIyO9x6qeS5cenT4erZ2mupkh/lPPngZEjgbAwD98hERGR/2NGxQZp3DZvng7r/hOBN65ZiH2/FGlvyEY9jz4K1Kvn6VskIiIKCAxUKmjkdupYEdptW4VT+09i+eM/cMM/IiIiD+DUTwWN3BqmhiC7aycknbuIE626cMM/IiIiD2CgUsGGf0ePArnJLVAQ1QoN4mtxwz8iIiIP4NRPBRv+xcVJZiVMPbORGxERkWcwo1LBhn9jxxrx+efpGDw4tXTVDxEREbkVMyoVkAxKbGw+MylEREQexECFiIiIvBYDFSIiIvJaDFSIiIjIazFQISIiIq/FQIWIiIi8FgMVIiIi8loMVIiIiMhrMVAhIiIir8VAhYiIiLwWAxUiIiLyWgxUiIiIyGv5/KaERqNRPZ89e9ap1y0qKkJeXp66bkhIiFOvTdY41u7BcXYPjrN7cJx9f5xNP7dNP8f9NlA5d+6cek5JSfH0rRAREZEDP8ejoqIqfF9nrCqU8XIlJSXIzMxE3bp1odPpnBrpSfBz5MgRREZGOu26VB7H2j04zu7BcXYPjrPvj7OEHxKkJCUlISgoyH8zKvKPS05Odtn15RPD/wncg2PtHhxn9+A4uwfH2bfHubJMigmLaYmIiMhrMVAhIiIir8VApQJhYWF46qmn1DO5FsfaPTjO7sFxdg+Oc+CMs88X0xIREZH/YkaFiIiIvBYDFSIiIvJaDFSIiIjIazFQISIiIq/FQKUSBQUFaNeunep4u2vXLqv3du/ejRtuuAHh4eGqa9+sWbM8dp++6K+//sL999+P1NRU1K5dG02bNlWV5YWFhVbncZydY968ebjsssvUOHbu3Bk//vijp2/Jp82cORMdO3ZUHbHr16+PQYMGYf/+/Vbn5OfnY9y4cahXrx7q1KmDIUOG4Pjx4x67Z3/w/PPPq+/HEydONB/jODvH0aNHcc8996hxlO/JV155JbZv325+X9bdPPnkk0hMTFTv9+jRA3/88QfcgYFKJSZPnqxa+9pqKdyrVy80btwYO3bswOzZszF9+nQsWLDAI/fpi/bt26e2P5g/fz727t2LV155BW+++Sb++c9/ms/hODvHxx9/jEmTJqlAcOfOnWjbti169+6NEydOePrWfNbGjRvVD8ctW7ZgzZo1auM2+Vo1GAzmcx5++GGsXLkSS5YsUefLVh+33XabR+/bl23btk19v2jTpo3VcY5zzZ05cwbXXXed2nTwq6++wq+//oqXXnoJMTEx5nPkl8Q5c+ao79Nbt26FXq9X30ckUHQ5WZ5M5X355ZfGtLQ04969e2X5tvGnn34yv/f6668bY2JijAUFBeZjU6ZMMbZs2dJDd+sfZs2aZUxNTTW/5jg7R6dOnYzjxo0zvy4uLjYmJSUZZ86c6dH78icnTpxQ3yc2btyoXufk5BhDQkKMS5YsMZ/z22+/qXM2b97swTv1TefOnTM2b97cuGbNGuNNN91kfOihh9RxjrNzyPfV66+/vsL3S0pKjAkJCcbZs2ebj8nYh4WFGT/66COjqzGjYoOkDUeNGoX//ve/iIiIKPf+5s2bceONNyI0NNR8TCJLSf1KZEqOyc3NRWxsrPk1x7nmZCpNslGSprXcH0tey/iS8752henrV8ZcsiyW456WloZGjRpx3B0g2at+/fpZjafgODvHihUrcPXVV+OOO+5QU5nt27fHW2+9ZX4/PT0dWVlZVuMse/TINLI7xpmBShkyD3fffffhwQcfVJ84W+QT1qBBA6tjptfyHlXfgQMHMHfuXIwePdp8jONcc9nZ2SguLrY5jhxD55ApTKmZkNR569at1TEZWwmwo6Ojrc7luFff4sWL1ZSl1AWVxXF2jj///BNvvPEGmjdvjm+++QZjxozBP/7xD7z//vvqfdNYeur7SMAEKo8//rgqwqrsIXUT8sNStp2eOnWqp2/Zr8e5bBHXLbfcoqJ5yWQR+dpv+3v27FE/UMm5jhw5goceeggLFy5UheDkumD7qquuwr/+9S+VTXnggQfU92KpR/EGtRAgHnnkEZUpqUyTJk2wfv16lcoqu6+BZFeGDx+uIsyEhIRyVeWm1/JeILN3nE2k8K1bt27o0qVLuSJZjnPNxcXFITg42OY4cgxrbvz48Vi1ahU2bdqE5ORk83EZW5l2y8nJsfptn+NePTK1I0Xf8kPURDKEMt6vvfaa+u2f41xzspLn8ssvtzrWqlUrLF26VP3ZNJYyrnKuibyWlbEu5/IqGB9z6NAh4y+//GJ+fPPNN6ow69NPPzUeOXLEqsizsLDQ/HFTp05lkWc1ZWRkqAK5u+++23jx4sVy73OcnVdMO378eKti2oYNG7KYtgakuFAKlKUo+ffffy/3vqnIU75vmOzbt49FntV09uxZq+/H8rj66quN99xzj/ozx9k5hg4dWq6YduLEicZrr73Wqpj2xRdfNL+fm5vrtmJaBipVSE9PL7fqR/7naNCggfHee+817tmzx7h48WJjRESEcf78+R69V18LUpo1a2bs3r27+vOxY8fMDxOOs3PIuMk3lPfee8/466+/Gh944AFjdHS0MSsry9O35rPGjBljjIqKMm7YsMHqazcvL898zoMPPmhs1KiRcf369cbt27erb/qmb/zkOMtVP4LjXHM//vijsVatWsbnnnvO+McffxgXLlyovtd++OGH5nOef/559X1j+fLlxt27dxsHDhyoVmleuHDB6GoMVBwIVMTPP/+sIlD5ASC/nconkez37rvvqnG19bDEcXaOuXPnqm/moaGhKsOyZcsWT9+ST6voa1e+rk3kG/jYsWNVVlC+6Q8ePNgqECfnBCocZ+dYuXKlsXXr1up7rbTmWLBggdX7klWZNm2a+uVRzpFfMvfv3290B538x/UTTERERETVFzCrfoiIiMj3MFAhIiIir8VAhYiIiLwWAxUiIiLyWgxUiIiIyGsxUCEiIiKvxUCFiIiIvBYDFSIiIvJaDFSIiIjIazFQISIiIq/FQIWIiIi8FgMVIiIigrf6/+aFbj7HKWNAAAAAAElFTkSuQmCC", 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", "text/plain": [ "
" ] @@ -208,8 +228,10 @@ ], "source": [ "predict = model.predict(dataIn)\n", - "plt.plot(dataIn, predict, ':r', label='estimated')\n", - "plt.plot(dataIn,target, '.b', label='real', alpha=0.4)\n", + "plt.plot(dataIn, predict, '-r', label='estimated')\n", + "plt.plot(dataIn,target, '.b', label='real', alpha=0.1)\n", + "#plt.xlim([0, 20])\n", + "#plt.ylim([32, 39])\n", "plt.legend()\n", "plt.grid()\n", "plt.show()" @@ -217,7 +239,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 90, "metadata": {}, "outputs": [ { @@ -226,15 +248,15 @@ "text": [ "Layer: hidden\n", " Weights (Kernel): (1, 2) \n", - "[[-0.27738443 0.7908125 ]]\n", + "[[-0.09109873 0.09800559]]\n", " Biases: (2,) \n", - "[-8.219968 6.714554]\n", + "[-0.9732538 -3.5764303]\n", "Layer: output\n", " Weights (Kernel): (2, 1) \n", - "[[-1.9934888]\n", - " [ 1.5958738]]\n", + "[[-98.196144]\n", + " [ 79.91211 ]]\n", " Biases: (1,) \n", - "[5.1361823]\n" + "[58.93958]\n" ] } ], @@ -256,23 +278,23 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 87ms/step\n" + "\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 22ms/step\n" ] }, { "data": { "text/plain": [ - "array([[213.73816]], dtype=float32)" + "array([[213.712]], dtype=float32)" ] }, - "execution_count": 15, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -284,7 +306,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -293,7 +315,7 @@ "array([213.73814765])" ] }, - "execution_count": 23, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -310,9 +332,131 @@ "Oo" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# sklearn" + ] + }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.neural_network import MLPRegressor\n", + "from sklearn.preprocessing import StandardScaler\n", + "from sklearn.model_selection import train_test_split\n", + "import numpy as np\n", + "\n", + "# Datos de ejemplo\n", + "\n", + "\n", + "# Escalado de los datos\n", + "scaler_X = StandardScaler()\n", + "scaler_y = StandardScaler()\n", + "\n", + "X_scaled = scaler_X.fit_transform(dataIn.reshape(-1,1))\n", + "y_scaled = scaler_y.fit_transform(target.reshape(-1, 1)).ravel()\n", + "\n", + "# Modelo equivalente al de Keras\n", + "mlp = MLPRegressor(\n", + " hidden_layer_sizes=(2,), # 1 capa oculta con 2 neuronas\n", + " activation='identity', # activación lineal\n", + " learning_rate_init=0.001, # 👈 Learning rate\n", + " solver='adam',\n", + " max_iter=1000,\n", + " tol=1e-6,\n", + " random_state=4\n", + ")\n", + "\n", + "# Entrenar modelo\n", + "mlp.fit(X_scaled, y_scaled)\n", + "\n", + "# Predicción\n", + "y_pred_scaled = mlp.predict(X_scaled)\n", + "y_pred = scaler_y.inverse_transform(y_pred_scaled.reshape(-1, 1))\n", + "\n", + "# Visualizar resultados (opcional)\n", + "import matplotlib.pyplot as plt\n", + "\n", + "plt.scatter(dataIn, target, label=\"Original data\")\n", + "plt.plot(dataIn, y_pred, color='red', label=\"MLPRegressor output\")\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(mlp.loss_curve_,'.k')\n", + "plt.xlabel(\"Épocas\")\n", + "plt.ylabel(\"Error (loss)\")\n", + "plt.title(\"Evolución del error en entrenamiento\")\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Pesos entre capa de entrada y oculta: [[ 1.7083841 -0.3760454]]\n", + "Pesos entre capa oculta y salida: [[ 0.30553975]\n", + " [-1.25492522]]\n", + "Bias de capa oculta: [1.03054493 1.02444091]\n", + "Bias de salida: [0.97903327]\n" + ] + } + ], + "source": [ + "print(\"Pesos entre capa de entrada y oculta:\", mlp.coefs_[0])\n", + "print(\"Pesos entre capa oculta y salida:\", mlp.coefs_[1])\n", + "print(\"Bias de capa oculta:\", mlp.intercepts_[0])\n", + "print(\"Bias de salida:\", mlp.intercepts_[1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Model scheme" + ] + }, + { + "cell_type": "code", + "execution_count": 11, "metadata": {}, "outputs": [ {