From dd23b2f4bef1e178f4b81fd80c2390630fda0539 Mon Sep 17 00:00:00 2001 From: Milena Perez Date: Mon, 6 Mar 2023 19:00:31 +0000 Subject: [PATCH] comment --- your-code/main.ipynb | 646 +++++++++++++++++++++++++++++++++++++++++-- 1 file changed, 617 insertions(+), 29 deletions(-) diff --git a/your-code/main.ipynb b/your-code/main.ipynb index dbe4405..2625685 100755 --- a/your-code/main.ipynb +++ b/your-code/main.ipynb @@ -11,12 +11,15 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Libraries\n", - "import numpy as np" + "import numpy as np\n", + "import matplotlib.pyplot as plt \n", + "import seaborn as sns\n", + "import pandas as pd" ] }, { @@ -30,7 +33,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -53,11 +56,36 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# Method 1" + "# Method 1\n", + "plt.plot(x,y, linewidth=1, linestyle='--', color='red', label='y = x')\n", + "plt.show()\n", + "plt.plot(x,z, linewidth=3, linestyle='-.', color='blue', label='y = x')\n", + "plt.show()" ] }, { @@ -69,11 +97,42 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'z')" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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2m24yU9CQEPvi8hYk1gAAKI6OH5fmzZNef106csSzLyRE+vlnz8QaAAAAcIl++03q18/Uucrx2GPmmW5AgG1heRUSawAAFCe7d5vHhYsXm3JMuTVtKo0eLd13nxQYaEt4AAAAKBl27DDnqf3yi3nt72+e6Q4ZYmdU3ofEGgAAxcnw4VJcnPu1j4+pbR4dLd18s3kNAAAAXIbly6WHHpLS0szr0FDpgw+kG2+0Ny5vVAoLoQIAUEycPi1lZ3u2RUebP4ODzcc//iitXCm1b09SDQAAAJfl7FlpwgSzASInqdaypbRtG0m1CyGxBgCAtzl40MxoataUYmM9+26/XZo7Vzp82FQArVvXnhgBAABQohw/LnXvborJ5xg0SPrySzMtxfmRWAMAwBtYlvT119I995hk2QsvSCdOmJNhc/P1lR55RKpY0Y4oAUnS2bNn9eSTT6pOnToqV66c6tatq6efflrZuVZYWpalKVOmKDw8XOXKlVOHDh20e/duj6+Tnp6ukSNHqlq1aipfvrx69eqlw4cPe4xJSUlRVFSUHA6HHA6HoqKidOLEiaJ4mwAAlBo7dpiVaWvXmtd+fuY8tbfeksqWtTc2b0diDQAAO2VkSMuWSTfcILVrZ+qWZ2WZvoAAqUYNsyYf8CLPP/+8/vnPf2rWrFnau3evpk+frhdeeEGvvfaaa8z06dM1Y8YMzZo1S1u3blVYWJg6d+6skydPusZER0dr5cqVWr58udavX69Tp06pZ8+eysr5OyCpf//+SkhI0OrVq7V69WolJCQoKiqqSN8vAAAl2dKlUps20v795nVIiKkCOmwYJ41cDB/Lsiy7g7BbamqqHA6HnE6nKrICAABQFH7/XfrnP82jwKNHPftCQ81MZuhQ8zG8UmmeP/Ts2VOhoaF68803XW133XWXgoKCtHjxYlmWpfDwcEVHR2vixImSzOq00NBQPf/88xo6dKicTqeqV6+uxYsXq1+/fpKko0ePKiIiQp988om6du2qvXv3qmHDhtq0aZNatWolSdq0aZPatGmj7777TvXr1//LWEvzfQIA4M9kZkqPP24Kzudo2VJasYKtn5cyf2DFGgAAdvjlF2nyZM+kWrNm0qJF0oED0j/+QVINXqtdu3b6/PPP9f3330uSduzYofXr1+u2226TJO3fv19JSUnq0qWL63MCAwPVvn17bdiwQZIUHx+vzMxMjzHh4eGKjIx0jdm4caMcDocrqSZJrVu3lsPhcI3JKz09XampqR4XAADwlJQkdezomVR7+GHOU8sPP7sDAACgxMvOlhITpSuucLddf710883SV19JvXubCp833cR6exQLEydOlNPp1LXXXitfX19lZWXp2Wef1X333SdJSkpKkiSF5kkOh4aG6sCBA64xAQEBqly58jljcj4/KSlJISEh53z/kJAQ15i8YmJiNHXq1Mt7gwAAlGAbN0p33+1+vhsQIM2aJQ0ZYm9cxRWJNQAACsupU2YF2iuvmBnLzp2eibNXX5WCg6nsiWLn3Xff1ZIlS7Rs2TI1atRICQkJio6OVnh4uAYOHOga55MnUWxZ1jlteeUdc77xf/Z1Jk2apLFjx7pep6amKiIi4qLeFwAAJZllSbNnS2PGmG2gknnu+/77UuvW9sZWnJFYAwCgoB04YB77zZ8vOZ3u9rVrpc6d3a+vu67oYwMKwOOPP64nnnhC9957rySpcePGOnDggGJiYjRw4ECFhYVJMivOatSo4fq85ORk1yq2sLAwZWRkKCUlxWPVWnJystq2besa8+uvv57z/Y8dO3bOargcgYGBCgwMLJg3CgBACXHmjDm+d8kSd9vNN0v/+henj1wuzlgDAKAgWJa0fr1ZV1+3rvTii55JtVtvlSpUsC8+oACdOXNGZcp4TiN9fX2VnZ0tSapTp47CwsIUGxvr6s/IyFBcXJwrada8eXP5+/t7jElMTNSuXbtcY9q0aSOn06ktW7a4xmzevFlOp9M1BgAA/LkffzRVP3Mn1caNM898SapdPlasAQBwud591yTStm3zbA8MlAYMkEaPlpo0sSc2oBDcfvvtevbZZ1WrVi01atRI27dv14wZM/TQQw9JMts3o6OjNW3aNNWrV0/16tXTtGnTFBQUpP79+0uSHA6HBg8erHHjxqlq1aqqUqWKxo8fr8aNG6tTp06SpAYNGqhbt24aMmSI5s6dK0l65JFH1LNnz4uqCAoAQGm3apX0wAPu573ly0sLFkj33GNvXCUJiTUAAC7Xxx97JtXCwqThw816++rV7YsLKCSvvfaa/v73v2vYsGFKTk5WeHi4hg4dqn/84x+uMRMmTFBaWpqGDRumlJQUtWrVSmvWrFFwcLBrzMsvvyw/Pz/17dtXaWlp6tixoxYuXChfX1/XmKVLl2rUqFGu6qG9evXSrFmziu7NAgBQDJ09a4rMx8S42+rXl1askBo2tC+uksjHsizL7iDslpqaKofDIafTqYoVK9odDgDAm+3cKV19tVSunLstPl5q0cJU+hwzRurb1xQrQInG/KF44D4BAEqb5GTpvvukL75wt/XpY1aq8avw4lzK/IEz1gAA+CvZ2dJHH0kdO5otncuWefY3by59841ZtXb//STVAAAAYIsNG6RmzdxJNV9f6aWXTOVPkmqFw9bE2pdffqnbb79d4eHh8vHx0YcffujRP2jQIPn4+HhcrfPUgE1PT9fIkSNVrVo1lS9fXr169dLhw4eL8F0AAEqskyel114z6+Z79XLPUGbONMUKcmvWTPLxKfIQAQAAAMsyU9T27aWjR01bjRrSf/8rjR3LNLUw2ZpYO336tK677ro/PSejW7duSkxMdF2ffPKJR390dLRWrlyp5cuXa/369Tp16pR69uyprKyswg4fAFBS7d9vSiXVrCmNGmVKKeW4+mpzdhq/ZwAAAOAFnE5TjGDMGHO2mmQSbN98I910k72xlQa2Fi/o3r27unfv/qdjAgMDFRYWdt4+p9OpN998U4sXL3ZVj1qyZIkiIiK0du1ade3atcBjBgCUYD/9JE2YIH34odn+mVunTlJ0tNS9u1SGkxQAAABgvx07pLvv9nwOPHGi9Mwzkh/lKouE1//LYN26dQoJCdE111yjIUOGKDk52dUXHx+vzMxMV5UoSQoPD1dkZKQ2bNhwwa+Znp6u1NRUjwsAAJUta2qS5yTVAgOlhx+Wvv1Wio2VevQgqQYAAADbWZb01ltS69bupFqlSmYq+9xzJNWKklf/66B79+5aunSpvvjiC7300kvaunWrbr31VqWnp0uSkpKSFBAQoMqVK3t8XmhoqJKSki74dWNiYuRwOFxXREREob4PAIAXSk6W1q3zbLviClPRs0YN85jv0CFp/nypcWNbQgQAAADyOn1aGjRIGjxY+uMP05ZTS+v2220NrVTy6hxmv379XB9HRkaqRYsWql27tv7zn/+oT58+F/w8y7Lk8ycn802aNEljx451vU5NTSW5BgClxY4d0iuvmMqeFStKBw+alWo5Zs6UHA4qewIAAMDr7NljzlPbs8fd9uij0ssve05pUXS8esVaXjVq1FDt2rX1ww8/SJLCwsKUkZGhlJQUj3HJyckKDQ294NcJDAxUxYoVPS4AQAmWlWXWxd96q9S0qbRggZSeLh07Jr3zjufY6tVJqgEAAMDrvP221LKlO6lWoYJ5VjxnDkk1OxWrxNrx48d16NAh1ahRQ5LUvHlz+fv7KzY21jUmMTFRu3btUtu2be0KEwDgLU6elF59VapfX7rjDlNvPIfDIY0fL3XsaF98AAAAwF84c8Zs+xw40HwsmZNKtm2T7rvP3thg81bQU6dO6cdcpSv279+vhIQEValSRVWqVNGUKVN01113qUaNGvrll1/0t7/9TdWqVdOdd94pSXI4HBo8eLDGjRunqlWrqkqVKho/frwaN27sqhIKACilnn5aeuklKW+BmmuukUaPlh54wDzmAwAAALzUnj3mCODdu91tgwebZ8dBQfbFBTdbE2vbtm3TLbfc4nqdc+7ZwIEDNWfOHO3cuVNvv/22Tpw4oRo1auiWW27Ru+++q+DgYNfnvPzyy/Lz81Pfvn2Vlpamjh07auHChfL19S3y9wMA8CJpaZ5JtU6dpDFjpG7dqOwJAAAAr7dokTRsmHuVWlCQ2fb5wAP2xgVPPpZlWXYHYbfU1FQ5HA45nU7OWwOA4iY9XXr3XalrVyn3+ZqHD0sNG0r33iuNGiVFRtoXI0ok5g/FA/cJAFDcnD4tDR9uEms5IiOlf/1LatDAvrhKk0uZP/DIHgBQPP36qzR1qlS7tjlw4p//9OyvWVNKTJTmzSOpBgAAgGLh22+lFi08k2oPPyxt3kxSzVuRWAMAFC8JCdKDD0q1aklTppgEmyTNnm1Wr+VWvnxRRwcAAABcMssyz4lvuEH67jvTVqGCtHSpNH8+56l5M1vPWAMA4KJkZUkffyzNnCmtW+fZV6aMdNddUnS0FBBgQ3AAAABA/p04IQ0ZIr3/vrutaVNz2sk119gVFS4WiTUAgHfbuVPq3Vv6+WfP9kqVzAxk+HCzHRQAAAAoZjZvNkcC//KLu23ECOmFF6SyZW0LC5eAxBoAwLvVrSv9/rv79TXXmNVpDzzAVk8AAAAUS9nZ0vTp0t//Lp09a9oqVZLeeku6805bQ8MlIrEGAPAOliXFxUm7d5tVaDnKl5eGDpW2bzcJta5dzfZPAAAAoBhKTJSioqTPP3e3tW0rLVvGRoziiMQaAMBef/whLV9uzk/bscOck3bPPVJIiHvMtGkk0wAAAFDsffqpKWh/7Jh57eMjTZ4sPfWU5EeGpljiXykAAHskJZmqnrVrmyqfO3aY9owMaeFCz7Ek1QAAAFCMpadLY8ZIt93mTqqFh5tVa//3fyTVijNuHQCgaG3fblanvfOOlJnp2XfDDWa759132xEZAAAAUOD27pXuu8/9HFmSevaUFiyQqlWzLy4UDBJrAICi89BDZgaRm6+vSaRFR0utW9sSFgAAAFDQLEuaP99Mc9PSTFtgoClaMHKk2QaK4o/EGgCg6LRo4U6sVa4sPfKIKVQQEWFvXAAAAEABOn7cTHVXrHC3NWxoNm00aWJfXCh4HFoDACh4P/4ojR4t7dzp2f7AA2ZV2uzZ0qFD0nPPkVQDAABAifL55yZ5ljup9thj0tatJNVKIlasAQAKhmVJ69aZ89M++si8Pn1aeuMN95gKFaSNG+2KEAAAACg06enSk09KL77obqtSRXrrLemOO+yLC4WLFWsAgMvzxx9me2fTptKtt0qrVpmkmmQe0+UcKAEAAACUUHv3mo0ZuZNqnTubDRwk1Uo2EmsAgPxJTJT+8Q+pVi1TlODbb919V1whxcRIP/wglStnX4wAAABAIbIs6fXXpeuvlxISTFtAgDRjhrR6tRQebmt4KAJsBQUAXLqEBOmGG6TMTM/21q1N2aM+fSR/fzsiAwAAAIpEYqJ5vrx6tbutYUNp2TLpuuvsiwtFixVrAIBL16SJVLu2+djXV7r3XnN22saNUr9+JNUAAABQoq1cKTVu7JlUGzFC2raNpFppw4o1AMCFnThhTlvds8ezCEGZMtLkydK+fdLw4VLNmraFCAAAABSV1FRpzBgzRc4RFiYtXCh17WpbWLARiTUAwLl++EF69VVTlOD0adM2ZozUqJF7zKBBtoQGAAAA2OGrr6QHHpB++cXddued0rx5UrVqtoUFm7EVFABgWJb0+efS7bdL9etLs2a5k2qStHatfbEB8DpHjhzR/fffr6pVqyooKEhNmzZVfHy8q9+yLE2ZMkXh4eEqV66cOnTooN27d3t8jfT0dI0cOVLVqlVT+fLl1atXLx0+fNhjTEpKiqKiouRwOORwOBQVFaUTJ04UxVsEAECSlJ4uTZwotW/vTqpVqCC9+ab0wQck1Uo7EmsAUNqlpZlZQZMmUqdO0scfmySbJAUFSY89ZuqHjx5tb5wAvEZKSopuvPFG+fv769NPP9WePXv00ksvqVKlSq4x06dP14wZMzRr1ixt3bpVYWFh6ty5s06ePOkaEx0drZUrV2r58uVav369Tp06pZ49eyorK8s1pn///kpISNDq1au1evVqJSQkKCoqqijfLgCgFNu509Tsmj7dPUVu107ascMULvDxsTc+2M/HsnL+0yi9UlNT5XA45HQ6VbFiRbvDAYCi1aePOX01t5o1pZEjpYcflqpUsScuwMuV5vnDE088oa+//lpfffXVefsty1J4eLiio6M1ceJESWZ1WmhoqJ5//nkNHTpUTqdT1atX1+LFi9WvXz9J0tGjRxUREaFPPvlEXbt21d69e9WwYUNt2rRJrVq1kiRt2rRJbdq00Xfffaf69ev/Zayl+T4BAPIvK0t68UXp73+XMjNNm7+/9Mwz0rhxpn4XSq5LmT+wYg0ASpu8z1Nyn5XWtq307rvSzz9LEyaQVANwXqtWrVKLFi10zz33KCQkRM2aNdP8+fNd/fv371dSUpK6dOniagsMDFT79u21YcMGSVJ8fLwyMzM9xoSHhysyMtI1ZuPGjXI4HK6kmiS1bt1aDofDNQYAgIL244/SzTdLTzzhTqo1bixt3WqmyCTVkBuJNQAoDc6eld5/36xb/+wzz74ePaRRo6TNm6Wvv5b69jWP4wDgAn7++WfNmTNH9erV02effaZHH31Uo0aN0ttvvy1JSkpKkiSFhoZ6fF5oaKirLykpSQEBAapcufKfjgkJCTnn+4eEhLjG5JWenq7U1FSPCwCAi2FZ0pw50nXXSTnPb3x8TDJt61bTDuRFVVAAKMlOnJDeeEN67TXp4EHTNnOm1K2be4yvr/TKK3ZEB6CYys7OVosWLTRt2jRJUrNmzbR7927NmTNHDzzwgGucT56DZyzLOqctr7xjzjf+z75OTEyMpk6detHvBQAASTp0SBo8WIqNdbdddZW0aJF04432xQXvx4o1ACiJvv9eGjHCnJX2+OPupJokHT7sWe0TAC5RjRo11LBhQ4+2Bg0a6OD//l8TFhYmSeesKktOTnatYgsLC1NGRoZSUlL+dMyvv/56zvc/duzYOavhckyaNElOp9N1HTp0KB/vEABQWliWtGCBFBnpmVR77DEpIYGkGv4aiTUAKCksS1q7VurZU6pfX3r9dc8EWo8e0po1prRR+fL2xQmg2Lvxxhu1b98+j7bvv/9etWvXliTVqVNHYWFhis31L5SMjAzFxcWpbdu2kqTmzZvL39/fY0xiYqJ27drlGtOmTRs5nU5t2bLFNWbz5s1yOp2uMXkFBgaqYsWKHhcAAOdz9KjUq5ep7plzcsAVV0irV0uzZ0sVKtgbH4oHtoICQEmxe7fUubNnW1CQ9OCDpsLnRVTPA4CLMWbMGLVt21bTpk1T3759tWXLFs2bN0/z5s2TZLZvRkdHa9q0aapXr57q1aunadOmKSgoSP3795ckORwODR48WOPGjVPVqlVVpUoVjR8/Xo0bN1anTp0kmVVw3bp105AhQzR37lxJ0iOPPKKePXteVEVQAADOx7KkZcvMFDn3wumBA82pKZUq2RUZiiMSawBQXGVmehYZiIyU2reX4uKkWrXMTGHwYCnPweAAcLlatmyplStXatKkSXr66adVp04dzZw5UwMGDHCNmTBhgtLS0jRs2DClpKSoVatWWrNmjYKDg11jXn75Zfn5+alv375KS0tTx44dtXDhQvnmKre2dOlSjRo1ylU9tFevXpo1a1bRvVkAQImSmCg9+qi0apW7LTRUmjfPrF4DLpWPZVmW3UHYLTU1VQ6HQ06nk+0CALzfli2m2MCuXdL27VKZXLv6v/xSSk6WeveW/Hh2AhQm5g/FA/cJACBdeJVav37mBJWqVe2LDd7nUuYP/KsLAIqDs2ellSvN2vSc2t+SOWG1a1f365tvLvLQAAAAAG+WmGiKEfz73+62kBBpzhypTx/74kLJQGINALxZSor0xhvSa6+ZGuC5VasmHTtmT1wAAACAl7Ms6e23peho6cQJd/u995rpdbVqdkWGkoTEGgB4o+++k159VVq0SDpzxrOvUSMzOxgwQCpXzpbwAAAAAG92+LD0yCPSp5+621ilhsJAYg0AvFFMjHm8lluPHiah1rGj5ONjS1gAAACAN7Mss+Fj/HgpNdXdPmCAOVWFVWooaGX+eggAoFCdOSOlp3u2jR5t/ixfXho+XNq3T/r4Y6lTJ5JqAAAAwHn89JN5Bv3II+6kWo0a5my1JUtIqqFwkFgDALscPiz97W9SRIS0eLFn3/XXm9/+hw9Ls2ZJ11xjT4wAAACAl8vKkmbMkBo3lv77X3f7gw9Ku3dLvXrZFxtKPraCAkBR27LFrEN/7z1T7VMyrwcP9lyNNmCAHdEBAAAAxcauXWYavWWLu61WLWnePKlrV/viQunBijUAKAqZmdK770pt20qtWknvvONOqvn7mxVqp07ZGyMAAABQTKSnS089ZabROUk1Hx9p1CizSo2kGooKK9YAoDClpprSQ7NmmW2duVWrJj32mLlq1LAnPgAAAKCY+fpr6eGHpe++c7dde6305pvmOTZQlEisAUBhOnVK+vvfzYq1HI0bm+IE/ftL5crZFxsAAABQjKSmSpMmSbNnu9v8/KSJE6Unn5TKlrUvNpRebAUFgIJiWaYUUW7h4VLfvmZd+u23S59/Lu3YYQ6CIKkGAAAAXJQPP5QaNvRMqrVqJX3zjfTMMyTVYB8SawBwuc6ckebOlRo1klq3ltLSPPunTpX27ZNWrZJuvdWzQAEAAACACzp8WLrzTnMdOWLaypeXXnnFbAlt3Nje+ABbE2tffvmlbr/9doWHh8vHx0cffvihR79lWZoyZYrCw8NVrlw5dejQQbt37/YYk56erpEjR6patWoqX768evXqpcN5zzECgMJw+LBZix4RIT36qLR3r/Tbb9KyZZ7jrrpKqlfPnhgBAACAYigrS3r9dbNKLXeqoHt3Uwl01CjJ19e28AAXWxNrp0+f1nXXXadZs2adt3/69OmaMWOGZs2apa1btyosLEydO3fWyZMnXWOio6O1cuVKLV++XOvXr9epU6fUs2dPZWVlFdXbAFDabNok3XefdOWV0nPPSb//7u676SbTDgAAACBfEhJMEYIRI6Scf/6HhkrLl0v/+Q/TbXgXW4sXdO/eXd27dz9vn2VZmjlzpiZPnqw+ffpIkhYtWqTQ0FAtW7ZMQ4cOldPp1JtvvqnFixerU6dOkqQlS5YoIiJCa9euVVfq6wIoSP/+txQTI23e7Nnu728SbaNHm3rfAAAAAC7ZqVPSlCnSzJlmxVqOIUOk55+XKle2KzLgwi55xdqgQYP05ZdfFkYsHvbv36+kpCR16dLF1RYYGKj27dtrw4YNkqT4+HhlZmZ6jAkPD1dkZKRrzPmkp6crNTXV4wKAv7Rli2dSrXp1U/Hz4EFp0SKSagBsdeutt2rq1KnntKekpOjWW2+1ISIAAC7eqlVm2+dLL7mTag0aSF9+Kc2bR1IN3uuSE2snT55Uly5dVK9ePU2bNk1Hck4PLGBJSUmSpNDQUI/20NBQV19SUpICAgJUOc/fsNxjzicmJkYOh8N1RUREFHD0AIq9vXulY8c824YNM/W8mzSR3nrLJNSefloKC7MnRgDIZd26dZo1a5Z69+6t06dPu9ozMjIUFxdnY2QAAFzYwYOmMMEdd0iHDpm2wEBT6TMhwZy0AnizS06sffDBBzpy5IhGjBih9957T1deeaW6d++u999/X5mZmQUeoE+e6nmWZZ3TltdfjZk0aZKcTqfrOpTztxdA6ZadLa1eLXXrZh6X5T3/8YorpB07zG/4Bx+kpjcAr7N27VolJSWpdevW+uWXX+wOBwCAC8rMlF54waxKy12coHNnU5xg8mQpIMC28ICLlq/iBVWrVtXo0aO1fft2bdmyRVdffbWioqIUHh6uMWPG6IcffrjswML+twIk78qz5ORk1yq2sLAwZWRkKCUl5YJjzicwMFAVK1b0uACUYqdPS//8p9SokSkz9Nlnpn3OHOmPPzzHNmwo/UVyHwDsUqNGDcXFxalJkyZq2bKl1q1bZ3dIAACcY/16c4rKhAnSmTOmLTRUWrrUTMWvvtre+IBLcVlVQRMTE7VmzRqtWbNGvr6+uu2227R79241bNhQL7/88mUFVqdOHYWFhSk2NtbVlrOVoW3btpKk5s2by9/f32NMYmKidu3a5RoDABd06JD0xBNSRIT02GPSd9+5++rUkSZNkizLvvgA4BLkrNYPDAzU0qVLNXr0aHXr1k2zZ8+2OTIAAIzkZLPx46abzKo0yTyzHj7cTMX79+cZNoqfS64KmpmZqVWrVmnBggVas2aNmjRpojFjxmjAgAEKDg6WJC1fvlyPPfaYxowZ86df69SpU/rxxx9dr/fv36+EhARVqVJFtWrVUnR0tKZNm6Z69eq5znQLCgpS//79JUkOh0ODBw/WuHHjVLVqVVWpUkXjx49X48aNXVVCAeAciYlSdLT0wQee5YYkqX1703f77ZKvrx3RAUC+WHkeBDz55JNq0KCBBg4caFNEAAAYWVmmAMHf/iadOOFub97cbBxp0cK20IDLdsmJtRo1aig7O1v33XeftmzZoqZNm54zpmvXrqpUqdJffq1t27bplltucb0eO3asJGngwIFauHChJkyYoLS0NA0bNkwpKSlq1aqV1qxZ40rgSdLLL78sPz8/9e3bV2lpaerYsaMWLlwoX/5BDOBCHA4pNtadVAsIkO691yTUmjWzNTQAyK/9+/erevXqHm133XWXrr32Wm3bts2mqAAApd3WraYGWO5fRQ6HKU7w2GM8y0bx52Plfbz5FxYvXqx77rlHZUvQod2pqalyOBxyOp2ctwaUNMePSxs3Sj17erZPmmQqew4bJj36qDnUAQAuAfOH4oH7BAD2+O03s0LtjTc8T1d54AFp+nSm3/BulzJ/uOTEWknEhAsogfbskV55RXr7bVPt8+BBz9/eqammjndgoH0xAijWmD8UD9wnAChaOds+J0+WctcZjIyUZs8256sB3u5S5g+XVbwAALxKdrb0ySdS166mwue8eaaqZ0aGObwht4oVSaoBAAAABWjjRumGG8ymkJykWnCwNGOG9M03JNVQMl3yGWsA4HVOnzYr0155Rdq3z7MvOFgaPFiKirInNgAAAKCES0yUnnjCTMlzi4oy2z7DwuyJCygKJNYAFG+vvio99ZRneSFJqltXGjXK1PNm6w8AAABQ4DIyzHT86aelkyfd7U2aSK+/LrVrZ19sQFEhsQagePP390yqdehgqnv27EmJIQAAAKCQrF5tpt25N4xUqiT93/+Z2mB+ZBtQSnDGGoDiISNDWrpU2rvXs/2BB8za8gcflBISpP/+V7rjDpJqAAAAQCH4/nvzDLt7d3dSzcdHGjpU+uEHacQIkmooXfjPHYB3++03U4Tg9delo0elhx6S3nzT3V++vPTLLxQiAAAAAAqR0yk984w51jgz093etq302mvS9dfbFxtgJ1asAfBOu3ZJQ4ZIERGmVvfRo6Z96VKTbMuNpBoAAABQKLKypDfekK65RnrxRXdS7YorpCVLpPXrSaqhdGPFGgDvkZ0tffqpNHOmtHatZ1+ZMmaLZ3S0VLWqHdEBAAAApcq6dWb6vWOHu61sWenxx6WJE83mEaC0Y8UaAO9w6JB07bXmwIbcSbWKFaWxY6Uff5RWrJBuvtkc4gAA8AoxMTHy8fFRdHS0q82yLE2ZMkXh4eEqV66cOnTooN27d3t8Xnp6ukaOHKlq1aqpfPny6tWrlw4fPuwxJiUlRVFRUXI4HHI4HIqKitKJvFWgAQAF7qefpD59pFtu8Uyq3X23OfL46adJqgE5SKwB8A5XXOH5+qqrTO3uw4ell16S6tSxJy4AwAVt3bpV8+bNU5MmTTzap0+frhkzZmjWrFnaunWrwsLC1LlzZ508edI1Jjo6WitXrtTy5cu1fv16nTp1Sj179lRWVpZrTP/+/ZWQkKDVq1dr9erVSkhIUFRUVJG9PwAobU6ckMaPlxo0kFaudLdff70UFye995505ZV2RQd4JxJrAIqWZZmDGJ5+2rO9TBlp9Gjp1lulf//blBgaOVIKDrYnTgDAnzp16pQGDBig+fPnq3Llyq52y7I0c+ZMTZ48WX369FFkZKQWLVqkM2fOaNmyZZIkp9OpN998Uy+99JI6deqkZs2aacmSJdq5c6fW/m/V8t69e7V69Wq98cYbatOmjdq0aaP58+fr448/1r6cMnQAgAKRmSnNmiVdfbV5pp1zjlpYmLRggbR1q9k4AuBcJNYAFI2MDHO6acuW0k03SU89Je3c6Tlm2DDp88+lXr0kX1974gQAXJThw4erR48e6tSpk0f7/v37lZSUpC5durjaAgMD1b59e23YsEGSFB8fr8zMTI8x4eHhioyMdI3ZuHGjHA6HWrVq5RrTunVrORwO1xgAwOWxLOmjj6TGjc0z7ePHTXvZstLf/iZ9/700aJB5Bg7g/CheAKBwHTsmzZ0rzZ4tJSZ69r3xhqnXnYOz0wCgWFi+fLni4+O1bdu2c/qSkpIkSaGhoR7toaGhOnDggGtMQECAx0q3nDE5n5+UlKSQkJBzvn5ISIhrzPmkp6crPT3d9To1NfUi3xUAlC7x8Wbb57p1nu0DBkjTpkm1atkSFlDskFgDUDh27jRJsyVLpFz/wJFkDmmIjpb69rUlNABA/h06dEijR4/WmjVrVLZs2QuO88nzsMSyrHPa8so75nzj/+rrxMTEaOrUqX/6fQCgNDtwQJo8WVq61LP9xhulGTOkG26wJy6guGJBJ4CC98QTUpMm0ptvupNqZcqY0kJffSVt2yZFRUmBgfbGCQC4ZPHx8UpOTlbz5s3l5+cnPz8/xcXF6dVXX5Wfn59rpVreVWXJycmuvrCwMGVkZCglJeVPx/z666/nfP9jx46dsxout0mTJsnpdLquQ4cOXdb7BYCSIiVFmjBBql/fM6l21VWmKMFXX5FUA/KDxBqAgteunfvjihWlceNMze4PPjB9bPkEgGKrY8eO2rlzpxISElxXixYtNGDAACUkJKhu3boKCwtTbGys63MyMjIUFxentm3bSpKaN28uf39/jzGJiYnatWuXa0ybNm3kdDq1ZcsW15jNmzfL6XS6xpxPYGCgKlas6HEBQGn2xx+mIMFVV0kvvOB+7l21qtlgsmePdPfdTNGB/GIrKID827/flA/q3l3KfXj1bbeZtttukwYOpLInAJQgwcHBioyM9GgrX768qlat6mqPjo7WtGnTVK9ePdWrV0/Tpk1TUFCQ+vfvL0lyOBwaPHiwxo0bp6pVq6pKlSoaP368Gjdu7CqG0KBBA3Xr1k1DhgzR3LlzJUmPPPKIevbsqfr16xfhOwaA4ik726xMe/JJ6eBBd3tgoDR6tDRpklSpkm3hASUGiTUAl8aypPXrpZkzpQ8/NL+xd+3yTKyVKSN98oldEQIAbDZhwgSlpaVp2LBhSklJUatWrbRmzRoF53rQ8vLLL8vPz099+/ZVWlqaOnbsqIULF8o3V1XopUuXatSoUa7qob169dKsWbOK/P0AQHFiWdJnn5nEWUKCu93HR7r/fun//k+qXdu28IASx8eyLMvuIOyWmpoqh8Mhp9PJdgHgQtLTpX/9yyTUvvnGs69sWbN6LSzMltAAwA7MH4oH7hOA0mTTJnPccVycZ3u3btJzz0nXXWdPXEBxcynzB1asAfhzycnS3LnS7NlSnoOoFRYmDR8uDR0qVa9uT3wAAABAKbd3r6n0uXKlZ/v110vTp0sdO9oTF1AakFgDcGFHj0p167pPOM3RvLkUHS317SsFBNgSGgAAAFDaHTggTZkivf22OaElx9VXS88+a4oSlKFkIVCo+CsG4MLCw6WcymtlypjfzF99JW3dag5oIKkGAAAAFLlff5VGjZLq1ZMWLnQn1cLCpDlzTKXPvn1JqgFFgRVrAKSTJ6UFC8wppx995PkbeOJEs0JtxAhOOQUAAABslJIivfii9Mor0unT7vZKlaQJE0yyrXx528IDSiUSa0Bptn+/9Npr0ptvSqmppm3NGnO6aY6uXc0FAAAAwBYnT5pk2osvSk6nuz0oyJzQMn68VLmybeEBpRqJNaC0sSzpyy/Nb+Z//9vzMAbJbPXMnVgDAAAAYIszZ0wNseeek44fd7f7+0uPPmoKFoSG2hcfABJrQOmRni4tXy7NnCklJHj2lS1rzkwbPVqKjLQjOgAAAAD/88cf0ty5UkyMOU8th6+v9OCD0pNPckoL4C1IrAGlxdix5nFXbjVqmLPTHnlEqlbNnrgAAAAASDLPwt94Q5o2TTp61N3u4yP17y899ZQpWADAe1AjBCipLMvz9cMPuz9u0UJaskT65Rfpb38jqQYAAADYKCPDrFCrV888986dVLv7bmnnTjN9J6kGeB8Sa0BJkpVlzk275RZp/nzPvmbNzCOur7+WtmyRBgyQAgLsiRMAAACA0tOlf/5Tuvpqc2baoUPuvt69zQku770nNWpkV4QA/gpbQYGSIDVVeustU+Hz559N26+/SkOGmHXjOaZMsSU8AAAAAG7p6dKCBWbLZ+5kmiT16CFNnSo1b25PbAAuDYk1oDj76SeTTHvrLVODO7esLLOG/Ior7IkNAAAAgIe0NHOG2vPPS0eOePb17Cn94x9Sy5b2xAYgf0isAcWNZUlxcaa656pV556l1rmzNGaM1LWrVIbd3gAAAIDdTp82Z6i98IKUlOTZ17OnObGlRQt7YgNweUisAcXNsWNSly5SZqa7rWxZ6YEHpFGjOIABAAAA8BJOpzR7tvTyy2Yan1uvXtLf/05CDSjuSKwB3i49XQoMdL8OCZHuvVdavFgKDzdlg4YMobInAAAA4CV++0165RVzaovT6dl3993Sk09K111nT2wAChaJNcBbbd9ufhvHxko//iiVK+fumzhR6t7d/Fb297cvRgAAAAAuR49KM2aYSp+nT7vby5SR+vaVJk+WIiPtiw9AwSOxBniTrCxzbtrMmdKXX7rbly6VHn7Y/bpRI7Z8AgAAAF7ixx+l6dOlRYukjAx3u5+fObHliSekevXsiw9A4SGxBngDp9NU9nz1VemXXzz7KleW/vjDlrAAAAAAXFhCgvTcc9J770nZ2e72wEDzXPzxx6XatW0LD0ARILEG2Omnn0wy7a23pFOnPPvq15eio6WoKKl8eVvCAwAAAODJsqR166Tnn5c++8yzLzhYGjbMTOPDwuyIDkBRI7EG2GnhQpNYy61rV/ObuEsXcxgDAAAAANtlZUkrV5otn1u3evZVry6NGSM99phUqZIt4QGwCYk1oKj88Yc5cKFiRXfbY4+ZR105hy+MGiU1bGhfjAAAAAA8nDljzk6bMcOcpZZbnTrSuHHSQw951hoDUHqQWAMKW2KiNGeOKQ00dKj0f//n7gsPl95/X7rxRqlqVftiBAAAAODh2DHp9dfN9dtvnn1Nm0oTJ0p3322ekQMovbx6n9mUKVPk4+PjcYXl2qhuWZamTJmi8PBwlStXTh06dNDu3bttjBjI5ZtvzCq02rVNMu3YMZNcy1uIoFcvkmoAAACAl/juO+nRR6VataSpUz2Tah07mnPVvvlGuvdekmoAvDyxJkmNGjVSYmKi69q5c6erb/r06ZoxY4ZmzZqlrVu3KiwsTJ07d9bJkydtjBilWlaWtGKFdPPNUvPm0uLFUmam6fP1lTp1kk6csDVEAAAAAJ4sS/riC6lnT6lBA2nuXPfzcF9facAAaft2ae1acxSyj4+98QLwHl6fX/fz8/NYpZbDsizNnDlTkydPVp8+fSRJixYtUmhoqJYtW6ahQ4cWdagozc6cMavRXntN+uUXz77Klc0W0OHDpZo1bQkPAAAAwLnS06Xly6WZM6WEBM++4GBpyBBp9Gizeg0AzsfrE2s//PCDwsPDFRgYqFatWmnatGmqW7eu9u/fr6SkJHXp0sU1NjAwUO3bt9eGDRv+NLGWnp6u9PR01+vU1NRCfQ8oJZ59Vvr9d/frBg1MMYIHHpCCguyLCwAAAICHX381z8Vnz5aSkz37atUyybTBgyWHw574ABQfXr0VtFWrVnr77bf12Wefaf78+UpKSlLbtm11/PhxJSUlSZJCQ0M9Pic0NNTVdyExMTFyOByuKyIiotDeA0ogy5L27PFsCwoyq9IkqXt3c/DC7t3mcAaSagAAAIBX2L5devBBkzybMsUzqXbDDdK770o//SSNHUtSDcDF8eoVa927d3d93LhxY7Vp00ZXXXWVFi1apNatW0uSfPJsbrcs65y2vCZNmqSxY8e6XqemppJcw19LS5OWLTPrxPftkw4elHJvU46ONqvTrr3WrggBAAAA5JGZKa1caU5tWb/es8/XV7rrLjOVb92as9MAXDqvTqzlVb58eTVu3Fg//PCDevfuLUlKSkpSjRo1XGOSk5PPWcWWV2BgoAIDAwszVJQkR4+aNeJz53qWBJozx5QJyhESYi4AAAAAtktOlt54w0zljxzx7KtUSXrkEXMMMuenAbgcXr0VNK/09HTt3btXNWrUUJ06dRQWFqbY2FhXf0ZGhuLi4tS2bVsbo0SJER8vRUVJV15pzk/LnVRr00Zq0cK20AAAAACcy7KkTZvMND4iQpo82TOp1rChOVvt8GHp+edJqgG4fF69Ym38+PG6/fbbVatWLSUnJ+uZZ55RamqqBg4cKB8fH0VHR2vatGmqV6+e6tWrp2nTpikoKEj9+/e3O3QUZ2vXmpVoedeJ+/lJffuak0xvuMGe2AAAAACc48wZcz7a66+b5+O5+fhIvXqZumK33MJ2TwAFy6sTa4cPH9Z9992n3377TdWrV1fr1q21adMm1a5dW5I0YcIEpaWladiwYUpJSVGrVq20Zs0aBQcH2xw5irWffvJMqlWpYgoTDB8uXXGFfXEBAAAA8LBvn1mBtnChdOKEZ1+VKtLDD5t6YnXq2BEdgNLAq7eCLl++XEePHlVGRoaOHDmiDz74QA0bNnT1+/j4aMqUKUpMTNQff/yhuLg4RUZG2hgxip3vv5f27/dsi4qSKlc268TnzZMOHZKmTSOpBgDA/8TExKhly5YKDg5WSEiIevfurX379nmMsSxLU6ZMUXh4uMqVK6cOHTpo9+7dHmPS09M1cuRIVatWTeXLl1evXr10+PBhjzEpKSmKiopyVXOPiorSibz/egZQqmRkSO+/L3XsaOqGzZzpmVS7/nppwQL3dk+SagAKk1cn1oBCYVlmu2fPnlL9+tLTT3v2BwVJW7dKu3ZJQ4aY1wAAwCUuLk7Dhw/Xpk2bFBsbq7Nnz6pLly46ffq0a8z06dM1Y8YMzZo1S1u3blVYWJg6d+6skydPusZER0dr5cqVWr58udavX69Tp06pZ8+eysrKco3p37+/EhIStHr1aq1evVoJCQmKiooq0vcLwDv8/LM0aZI5F+2ee6QvvnD3lS0rDRwobdwobdsmDRoklStnW6gAShEfy7Isu4OwW2pqqhwOh5xOpypWrGh3OCgsaWnSkiXSK69IuZ+YBwRIBw9Kf1FNFgCA3Jg/uB07dkwhISGKi4vTzTffLMuyFB4erujoaE2cOFGSWZ0WGhqq559/XkOHDpXT6VT16tW1ePFi9evXT5J09OhRRURE6JNPPlHXrl21d+9eNWzYUJs2bVKrVq0kSZs2bVKbNm303XffqX79+n8ZG/cJKN4yM6WPPpLmzpXWrDm3/+qrzVbPQYOkqlWLPDwAJdSlzB9YsYaS78gRUw4oIsLU1M6dVKtVy1T85HEWAAD55nQ6JUlVqlSRJO3fv19JSUnq0qWLa0xgYKDat2+vDRs2SJLi4+OVmZnpMSY8PFyRkZGuMRs3bpTD4XAl1SSpdevWcjgcrjF5paenKzU11eMCUPx8/700caJUs6Z0112eSTU/P+nuu03bvn3SuHEk1QDYx6uLFwCXJTVVeuwx6V//ks6e9ey78UYpOlrq3dv8ZgYAAPliWZbGjh2rdu3auc66TUpKkiSF5lkNHhoaqgMHDrjGBAQEqHLlyueMyfn8pKQkhYSEnPM9Q0JCXGPyiomJ0dSpUy/vTQGwxZkz0gcfSG++KcXFndtfp445qeXBB6WwsKKPDwDOh4wCSq4KFaRvvnEn1fz8pH79pNGjpZYt7Y0NAIASYsSIEfr222+1PndF7f/x8fHxeG1Z1jlteeUdc77xf/Z1Jk2apLFjx7pep6amKiIi4k+/JwD7WJY53vitt6R33jHPxnPz9zfPwh9+WOrUSSrDnisAXobEGkqGlBTp00+l/v3dbWXKSKNGSX//uzl44bHHqOwJAEABGjlypFatWqUvv/xSNWvWdLWH/W8pSVJSkmrUqOFqT05Odq1iCwsLU0ZGhlJSUjxWrSUnJ6tt27auMb/++us53/fYsWPnrIbLERgYqMDAwMt/cwAKVVKStHSpqd6Zp2CwJFNjbMgQKSpKOs/CVQDwGuT7Ubx9/700fLg5fGHAAOnbbz37H3xQOnRIeuYZkmoAABQQy7I0YsQIrVixQl988YXq1Knj0V+nTh2FhYUpNjbW1ZaRkaG4uDhX0qx58+by9/f3GJOYmKhdu3a5xrRp00ZOp1Nbtmxxjdm8ebOcTqdrDIDiIyNDWrFC6tXLTN/Hj/dMqpUvLz30kLR+vbR3rzk7jaQaAG/HijUUP5YlrV0rzZwpffKJZ9/MmWYdeY6yZYsyMgAASoXhw4dr2bJl+ve//63g4GDXeWcOh0PlypWTj4+PoqOjNW3aNNWrV0/16tXTtGnTFBQUpP7/W13ucDg0ePBgjRs3TlWrVlWVKlU0fvx4NW7cWJ06dZIkNWjQQN26ddOQIUM0d+5cSdIjjzyinj17XlRFUAD2y9nquXix2ep5/Pi5Y9q2lQYPlu65RwoOLvoYAeBykFhD8ZGWJi1ZYpJne/Z49pUvb1anjRxpS2gAAJQmc+bMkSR16NDBo33BggUaNGiQJGnChAlKS0vTsGHDlJKSolatWmnNmjUKzvWv5pdffll+fn7q27ev0tLS1LFjRy1cuFC+vr6uMUuXLtWoUaNc1UN79eqlWbNmFe4bBHDZDh40U/e33zaVO/OqWVN64AFp4EDpmmuKPj4AKCg+lmVZdgdht9TUVDkcDjmdTlWsWNHucHA+ixZJY8dKv//u2V67tjRihDnNtFIlW0IDAJROzB+KB+4TUHRSUqT33jNnp3355bn9ZctKd95pnoffequUK4cOAF7lUuYPrFhD8VCtmmdS7aabTHXPO+4w1T4BAAAAFLm0NHM6y9Kl0n/+Y85Ry6tDB7M67a67JPLbAEoaMhLwLmfPmhNNw8Oldu3c7d27S40aSU2bSmPGSM2b2xYiAAAAUJqdPSt9/rm0bJm0cqV08uS5Y+rXl+6/31xXXlnkIQJAkSGxBu/w++/SG29Is2aZKp4dO5oCBTnKlJG2b5f8/e2LEQAAACilsrNNtc533zXbPY8dO3dMWJh0333SgAHS9ddLPj5FHycAFDUSa7DXd99Jr75qzlA7c8bd/vnnpsZ2gwbuNpJqAAAAQJGxLGnTJncy7ejRc8dUrCj16WMSarfeyiktAEof/reHomdZUmysqe756aeefT4+Us+eUnS0dO21dkQHAAAAlFrZ2SaZ9t570gcfmM0keZUta6bs/fubE1vKli36OAHAW5BYQ9E6eVJq3Vras8ezvXx5Ux5o1CipXj17YgMAAABKoawsaeNG6f33TTLt8OFzxwQESN26Sf36SbffLgUHF32cAOCNSKyhaAUHm8MXchJrtWubZNpDD0mVKtkaGgAAAFBaZGZK69aZumErV0q//nruGH9/qVMnqW9fqXdvpusAcD4k1lB4Nm+W3nlHmjHDFB/IMWaM+U0eHS316sVBDAAAAEAROH1aWrPGJNI+/lhKSTl3jL+/1KWLdM89ZqpeuXLRxwkAxQkZDRSszEzz2GvmTHM4g2R+M992m3tMjx7mUAYAAAAAherYMZNE+/BDk1T7449zx5Qta7Z53nmnSaaxMg0ALh6JNRSM33+X5s+XZs0691CGhQs9E2vU3QYAAAAKhWVJ+/ZJq1aZa8MG05ZXcLB53n3XXSapVqFC0ccKACUBiTVcnj17pFdfld5+W0pL8+xr0sRs97zvPltCAwAAAEqDjAzpq6+k//zHrE774YfzjwsLk+64w5yXdsstUmBgkYYJACUSiTXk34wZ0rhxnm0+Pmb9eHS01L49q9MAAACAQpCYKK1ebZJpa9ZIJ0+ef1zDhmZ63quX1KqV59HHAIDLR2IN+dexo/vjChWkwYOlkSOlq66yLyYAAACgBDp7VtqyRfrkE3Nt337+cb6+Urt27mTa1VcXbZwAUNqQWMNfO3RIev11qVEjKSrK3X7dddKgQebPBx+UHA7bQgQAAABKmsOHpc8+MyvT1q6VTpw4/7gqVcyRxj17mrphVPIEgKJDYg0XtnGjqe75wQdSVpZ07bXSgAGe68cXLLAtPAAAAKAkOX1aiouTYmPN9s49ey489vrrpe7dzdW6tVmpBgAoeiTW4CkzU3r/fZNQ27LFs+/nn6Xdu6XGjW0JDQAAAChJzp6Vtm2TPv/cJNM2bDDT8fOpXFnq1MmsTOvWzRQiAADYj8QajOPHpXnzzJbPI0c8+0JCpMcekx59lN/gAAAAQD5lZ0u7dklffGGSaXFxFy46UKaMdMMNJonWtavUsiWr0gDAG5FYg3TmjDnVNO+hDU2bmuqe995LLW4AAADgElmW2fCxbp254uKk33678PirrpI6dzbXLbdwVhoAFAck1iAFBZmSQW+/Lfn4SHfcIY0eLbVvb14DAAAA+EtZWdK330pffmmur76Sjh278PiQEOnWW83VqZNUp07RxQoAKBgk1kqT06dN8mzJEnOIQ1CQu2/MGFNOaORIqW5d+2IEAAAAiok//pC2bpXWrzfX119LTueFx1eqJN18s0mkdewoNWrEc2wAKO5IrJUGBw+as9PmzXNv91yyRHrkEfeYpk3NBQAAAOC8fv1V2rjRFBn4+mtTeCAj48LjHQ7pppvMts4OHaTrruOcNAAoaUislVSWZX7rz5wprVhh1qXntm2bZ2INAAAAgEtmptnWuWmTuTZskH7++c8/p3p1syLt5pvNqSqRkSTSAKCkI7FW0mRkSO+/bxJqW7d69gUESAMGmPPTrrvOlvAAAAAAb2NZ0v79Zvq8ZYu0ebMUH2+2ev6Za66RbrxRatfOXPXqsbUTAEobEmslzYsvSpMne7aFhkrDhklDh5qPAQAAgFLKsqTDh6VvvjGbOLZuNX8eP/7nn1e2rNSihdS2rbnatDHFBwAApRuJteIuO1sqU8b9+sEHpSlTzNr1Zs2k6GipXz8pMNCuCAEAAABbZGeblWgJCdL27WYVWnz8n1fqzHHVVVKrVu6rWTOzAQQAgNxIrBVH2dnSp59Kr7wi3XCD9Mwz7r4aNaSXXjJbPW+6ibXoAAAAKBXS0qRdu8y5aDt2mGTajh1Saupff2716lLLlu7rhhtMGwAAf4XEWnFy6pS0aJFJqP3wg2n75huz9bNcOfe4kSPtiQ8AAAAoZFlZ0k8/mSRazvXtt2Z6nJ39159ftarUvLl0/fXmz5YtpVq1eB4NAMgfEmvFwS+/SLNmSW+8ITmdnn2VKpnyRI0a2REZAAAAUCgyM800d88ez+u77/66qECOmjXNFs5mzaSmTU0yjSQaAKAgkVjzVpYlff21qe65cuW5j99uvdWcn3bbbdTwBgAAQLFkWea8sx9+kL7/Xtq3zyTO9u2TfvxROnv24r5OYKB5ztykiTkRpUkTc1WrVrjxAwBAYs1bpadLd94p/fabuy0gQBowQBo92swYAAAAAC9nWVJiotm+mfv64Qdz5d2Q8Wd8faWrr5YiIz2vq6+W/PiXDQDABvz68RZnzkhBQe7XZctKjz5qChOEhkrDh0tDh1LTGwAAAF4lZ9XZgQPm+uUXU4kz959paZf2NcuWla65RqpfX2rY0H3Vq0exewCAdyGxZredO00xgvfeM+vea9Rw9w0bZmYUffsygwAAAECRy842GyiOHpWOHJEOH/a8Dh4018WeeZabj49Uu7aZ7tarZ65rrzXJtFq1pDJlCv79AABQ0EpMYm327Nl64YUXlJiYqEaNGmnmzJm66aab7A7r/LKzpU8+Meenff65u33OHOnpp92va9SQoqKKPDwAAABvUqzmecWAZZntl8nJZqVZcrL0669SUpLndfSo2cJ5seecnU/ZstKVV0p160pXXeV51alj+gEAKM5KRGLt3XffVXR0tGbPnq0bb7xRc+fOVffu3bVnzx7VqlXL7vDcTp6UFi0yK9R+/NGzr2JFc4YaAAAAXIrNPM8GGRkmQZaaav48cUJKSfG8jh8/9zp2zFTcLAjly5tVZ7Vrm1VmOR/XqWOu0FAqcAIASjYfy7Isu4O4XK1atdL111+vOXPmuNoaNGig3r17KyYm5i8/PzU1VQ6HQ06nUxUrViz4AH/5RXrtNemNN8zMJ7errzbFCAYOlIKDC/57AwCAQlHo8wdI8u553okTZnukZXle2dnmOntWyspy/5mZaZJhOX9mZJh6VX/84XmdOeN5nT5tns+ePCmdOuX+OD/bLy9FSIgUHm6uGjXMnxERUs2a7j8dDhJnAICS51LmD8V+xVpGRobi4+P1xBNPeLR36dJFGzZsOO/npKenKz093fU6NW+yq6CtWSPNmOHZ1rGjSaj16MEBEgAAAOfh7fO8FSukwYML7csXuMBAqWpVqXp1kzSrXt191ahhVpeFhZkrJETy97c7YgAAvF+xT6z99ttvysrKUmhoqEd7aGiokpKSzvs5MTExmjp1alGEZ9x/vzRpknnceP/9JqHWuHHRfX8AAIBiyNvneUW9Uisw0GxwqFDB/OlwmKtiRffHlSt7XlWqSNWqmYRaUBCrywAAKGjFPrGWwyfPLMGyrHPackyaNEljx451vU5NTVVEREThBRcUJL3/vhQZaR4JAgAA4KJ56zzvmmukhx4yyaqcq0wZ959+fpKvr/tPf39zpG5AgPnY318qV84c4J9zBQaac8uCgjyvChVYQQYAgDcq9om1atWqydfX95ynlsnJyec83cwRGBiowMDAogjP7ZZbivb7AQAAFHPePs+78UZzAQCA0qvYH+4VEBCg5s2bKzY21qM9NjZWbdu2tSkqAAAAXC7meQAAwNsV+xVrkjR27FhFRUWpRYsWatOmjebNm6eDBw/q0UcftTs0AAAAXAbmeQAAwJuViMRav379dPz4cT399NNKTExUZGSkPvnkE9WuXdvu0AAAAHAZmOcBAABv5mNZlmV3EHZLTU2Vw+GQ0+lUxYoV7Q4HAAAUA8wfigfuEwAAuFSXMn8o9mesAQAAAAAAAHYgsQYAAAAAAADkA4k1AAAAAAAAIB9KRPGCy5VzzFxqaqrNkQAAgOIiZ97AcbXejXkeAAC4VJcyzyOxJunkyZOSpIiICJsjAQAAxc3JkyflcDjsDgMXwDwPAADk18XM86gKKik7O1tHjx5VcHCwfHx8Cvzrp6amKiIiQocOHaIalU24B/bjHtiPe2A/7oH9CvIeWJalkydPKjw8XGXKcLqGt2KeV/JxD+zHPbAf98B+3AP72TXPY8WapDJlyqhmzZqF/n0qVqzIXzCbcQ/sxz2wH/fAftwD+xXUPWClmvdjnld6cA/sxz2wH/fAftwD+xX1PI/HqwAAAAAAAEA+kFgDAAAAAAAA8oHEWhEIDAzUU089pcDAQLtDKbW4B/bjHtiPe2A/7oH9uAcoaPw3ZT/ugf24B/bjHtiPe2A/u+4BxQsAAAAAAACAfGDFGgAAAAAAAJAPJNYAAAAAAACAfCCxBgAAAAAAAOQDiTUAAAAAAAAgH0isFbLZs2erTp06Klu2rJo3b66vvvrK7pBKrJiYGLVs2VLBwcEKCQlR7969tW/fPo8xlmVpypQpCg8PV7ly5dShQwft3r3bpohLvpiYGPn4+Cg6OtrVxj0ofEeOHNH999+vqlWrKigoSE2bNlV8fLyrn3tQuM6ePasnn3xSderUUbly5VS3bl09/fTTys7Odo3hHhSsL7/8UrfffrvCw8Pl4+OjDz/80KP/Yn7e6enpGjlypKpVq6by5curV69eOnz4cBG+CxRHzPOKDvM878M8zx7M8+zFPK/oFYt5noVCs3z5csvf39+aP3++tWfPHmv06NFW+fLlrQMHDtgdWonUtWtXa8GCBdauXbushIQEq0ePHlatWrWsU6dOucY899xzVnBwsPXBBx9YO3futPr162fVqFHDSk1NtTHykmnLli3WlVdeaTVp0sQaPXq0q517ULh+//13q3bt2tagQYOszZs3W/v377fWrl1r/fjjj64x3IPC9cwzz1hVq1a1Pv74Y2v//v3We++9Z1WoUMGaOXOmawz3oGB98skn1uTJk60PPvjAkmStXLnSo/9ift6PPvqodcUVV1ixsbHWN998Y91yyy3WddddZ509e7aI3w2KC+Z5RYt5nndhnmcP5nn2Y55X9IrDPI/EWiG64YYbrEcffdSj7dprr7WeeOIJmyIqXZKTky1JVlxcnGVZlpWdnW2FhYVZzz33nGvMH3/8YTkcDuuf//ynXWGWSCdPnrTq1atnxcbGWu3bt3dNuLgHhW/ixIlWu3btLtjPPSh8PXr0sB566CGPtj59+lj333+/ZVncg8KWd8J1MT/vEydOWP7+/tby5ctdY44cOWKVKVPGWr16dZHFjuKFeZ69mOfZh3mefZjn2Y95nr28dZ7HVtBCkpGRofj4eHXp0sWjvUuXLtqwYYNNUZUuTqdTklSlShVJ0v79+5WUlORxTwIDA9W+fXvuSQEbPny4evTooU6dOnm0cw8K36pVq9SiRQvdc889CgkJUbNmzTR//nxXP/eg8LVr106ff/65vv/+e0nSjh07tH79et12222SuAdF7WJ+3vHx8crMzPQYEx4ersjISO4Jzot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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# Method 2" + "# Method 2\n", + "fig, (x1, x2) = plt.subplots(nrows=1, ncols=2, figsize=(15, 3))\n", + "\n", + "x1.plot(x, y, linewidth=2, linestyle='--', color='red', label='y = x')\n", + "x1.set_xlabel('x')\n", + "x1.set_ylabel('y')\n", + "\n", + "\n", + "x2.plot(x, z, linewidth=2, linestyle='-', color='blue', label='z = x')\n", + "x2.set_xlabel('x')\n", + "x2.set_ylabel('z')" ] }, { @@ -88,11 +147,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# your code here" + "# your code here\n", + "fig, ax = plt.subplots(figsize=(6, 3))\n", + "\n", + "ax.plot(x, y, label='y plot', color='k', ls=':', lw=2)\n", + "ax.plot(x, z, label='z plot', ls='-.', lw=3)\n", + "\n", + "plt.show()" ] }, { @@ -105,11 +181,33 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# your code here" + "# your code here\n", + "\n", + "fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n", + "\n", + "#normal scale\n", + "axs[0].plot(x, y)\n", + "axs[0].plot(x, y)\n", + "\n", + "#logarithmic scale\n", + "axs[1].plot(x, y)\n", + "axs[1].plot(x, y)\n", + "axs[1].set_yscale('log')" ] }, { @@ -121,11 +219,49 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Logarithmic Scale')" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# your code here" + "# your code here\n", + "fig, axs = plt.subplots(1, 2, figsize=(10, 5))\n", + "\n", + "#normal scale\n", + "axs[0].plot(x, y, label='y = x^2')\n", + "axs[0].plot(x, y, label='y = e^x')\n", + "axs[0].set_xlabel('x')\n", + "axs[0].set_ylabel('y')\n", + "axs[0].set_title('Normal Scale')\n", + "\n", + "#logarithmic scale\n", + "axs[1].plot(x, y, label='y = x^2')\n", + "axs[1].plot(x, y, label='y = e^x')\n", + "axs[1].set_xlabel('x')\n", + "axs[1].set_ylabel('y')\n", + "axs[1].legend()\n", + "axs[1].set_yscale('log')\n", + "axs[1].set_title('Logarithmic Scale')" ] }, { @@ -140,11 +276,401 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
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DateCalorie burnedStepsDistanceFloorsMinutes SedentaryMinutes Lightly ActiveMinutes Fairly ActiveMinutes Very ActiveActivity Calories...Distance_milesDaysDays_encodedWork_or_WeekendHours SleepSleep efficiencyYesterday_sleepYesterday_sleep_efficiencyMonthsMonths_encoded
02015-05-0819349050.6501.35546001680...0.403891Friday4.016.40000092.0863310.0000000.000000May5
12015-05-0936311892514.114611.00031661602248...8.767545Saturday5.007.56666792.4643586.40000092.086331May5
22015-05-1032041422810.571602.00022614771719...6.567891Sunday6.006.45000088.7614687.56666792.464358May5
32015-05-11267367565.028749.0001902349620...3.119282Monday0.015.18333388.8571436.45000088.761468May5
42015-05-1224955023.731876.000171007360...2.317714Tuesday1.016.78333382.8920575.18333388.857143May5
..................................................................
3622016-05-0337961858814.1316599.0002754979236...8.779972Tuesday1.016.28333391.9512205.23333390.229885May5
3632016-05-0435251638212.3916684.00033310552075...7.698787Wednesday2.016.76666795.0819676.28333391.951220May5
3642016-05-0536492191316.4019701.00028729902249...10.190484Thursday3.014.66666788.8888896.76666795.081967May5
3652016-05-0635391902314.7915575.0002988852112...9.190077Friday4.016.16666789.8058254.66666788.888889May5
3662016-05-0730495267.082564.00037013101604...4.399307Saturday5.008.36666789.1651876.16666789.805825May5
\n", + "

367 rows × 24 columns

\n", + "
" + ], + "text/plain": [ + " Date Calorie burned Steps Distance Floors Minutes Sedentary \\\n", + "0 2015-05-08 1934 905 0.65 0 1.355 \n", + "1 2015-05-09 3631 18925 14.11 4 611.000 \n", + "2 2015-05-10 3204 14228 10.57 1 602.000 \n", + "3 2015-05-11 2673 6756 5.02 8 749.000 \n", + "4 2015-05-12 2495 502 3.73 1 876.000 \n", + ".. ... ... ... ... ... ... \n", + "362 2016-05-03 3796 18588 14.13 16 599.000 \n", + "363 2016-05-04 3525 16382 12.39 16 684.000 \n", + "364 2016-05-05 3649 21913 16.40 19 701.000 \n", + "365 2016-05-06 3539 19023 14.79 15 575.000 \n", + "366 2016-05-07 304 9526 7.08 2 564.000 \n", + "\n", + " Minutes Lightly Active Minutes Fairly Active Minutes Very Active \\\n", + "0 46 0 0 \n", + "1 316 61 60 \n", + "2 226 14 77 \n", + "3 190 23 4 \n", + "4 171 0 0 \n", + ".. ... ... ... \n", + "362 275 49 79 \n", + "363 333 10 55 \n", + "364 287 29 90 \n", + "365 298 8 85 \n", + "366 370 13 10 \n", + "\n", + " Activity Calories ... Distance_miles Days Days_encoded \\\n", + "0 1680 ... 0.403891 Friday 4.0 \n", + "1 2248 ... 8.767545 Saturday 5.0 \n", + "2 1719 ... 6.567891 Sunday 6.0 \n", + "3 9620 ... 3.119282 Monday 0.0 \n", + "4 7360 ... 2.317714 Tuesday 1.0 \n", + ".. ... ... ... ... ... \n", + "362 236 ... 8.779972 Tuesday 1.0 \n", + "363 2075 ... 7.698787 Wednesday 2.0 \n", + "364 2249 ... 10.190484 Thursday 3.0 \n", + "365 2112 ... 9.190077 Friday 4.0 \n", + "366 1604 ... 4.399307 Saturday 5.0 \n", + "\n", + " Work_or_Weekend Hours Sleep Sleep efficiency Yesterday_sleep \\\n", + "0 1 6.400000 92.086331 0.000000 \n", + "1 0 7.566667 92.464358 6.400000 \n", + "2 0 6.450000 88.761468 7.566667 \n", + "3 1 5.183333 88.857143 6.450000 \n", + "4 1 6.783333 82.892057 5.183333 \n", + ".. ... ... ... ... \n", + "362 1 6.283333 91.951220 5.233333 \n", + "363 1 6.766667 95.081967 6.283333 \n", + "364 1 4.666667 88.888889 6.766667 \n", + "365 1 6.166667 89.805825 4.666667 \n", + "366 0 8.366667 89.165187 6.166667 \n", + "\n", + " Yesterday_sleep_efficiency Months Months_encoded \n", + "0 0.000000 May 5 \n", + "1 92.086331 May 5 \n", + "2 92.464358 May 5 \n", + "3 88.761468 May 5 \n", + "4 88.857143 May 5 \n", + ".. ... ... ... \n", + "362 90.229885 May 5 \n", + "363 91.951220 May 5 \n", + "364 95.081967 May 5 \n", + "365 88.888889 May 5 \n", + "366 89.805825 May 5 \n", + "\n", + "[367 rows x 24 columns]" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "# your code here" + "# your code here\n", + "fitbit = pd.read_csv('Fitbit2.csv')\n", + "fitbit" ] }, { @@ -167,15 +693,35 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# MEDIAN STEPS BY MONTH_ENCODED\n", "# your code here\n", + "median_steps_by_month = fitbit.groupby(\"Months_encoded\")[\"Steps\"].median()\n", "\n", "# MEDIAN STEPS BY WORK_OR_WEEKEND\n", - "# your code here" + "# your code here\n", + "\n", + "# Plot the median steps by month\n", + "fig, ax = plt.subplots(figsize=(12,4))\n", + "ax.plot(median_steps_by_month.index, median_steps_by_month.values, marker=\"o\")\n", + "ax.set_xlabel(\"Month\")\n", + "ax.set_ylabel(\"Median Steps\")\n", + "ax.set_xticks(median_steps_by_month.index)\n", + "plt.show()\n" ] }, { @@ -191,11 +737,53 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# your code here" + "fitbit.head(1)\n", + "\n", + "# your code here\n", + "\n", + "features = [\"Minutes Lightly Active\", \"Minutes Very Active\", \"Minutes Sedentary\"]\n", + "\n", + "for x in features:\n", + " fig, ax = plt.subplots(figsize=(6,6))\n", + " ax.scatter(fitbit[x], fitbit[\"Steps\"], s=10)\n", + " ax.set_xlabel(x)\n", + " ax.set_ylabel(\"Steps\")\n", + " plt.show()" ] }, { @@ -571,7 +1159,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -585,7 +1173,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.2" + "version": "3.9.13" } }, "nbformat": 4,