{
 "cells": [
  {
   "attachments": {
    "Griffiths-Pr-1.4.png": {
     "image/png": 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VoBOpqqratGnTjh076EB0//79u3XrplQqbTZbVVVVeXl5YGBgSUkJIcTDw6NXr16EELFYnJqaeleHS/P5fKVSeetINcMwAoGAYRiWZVtaWurq6jgF2shut5eVlZ0+fbq5ubm6uvrQoUNVVVUCgaB///6RkZEhISFjxozx9/fn8XhtH+8tLi7+97//nZWV1dLSYjQaL1y4QOeQa7XaPXv2bNu2jRCiUChmzJgxZ84cbuU2sNvtTU1NVVVVu3fvPnr0KMuyJpNJr9f7+fnNmTMnISFBIBB4enp6e3v7+vpyK7cBy7LNzc3Xrl27fPmyTqc7cuRISUmJQqE4e/asv7//zz//7ObmtnLlSkwpB4B7CIJqAADooFJTU9esWePt7T18+PA+ffocO3aMENLQ0JCTk1NWVhYWFsatAJ2Iw+HQ6/XZ2dn015CQEHqaWkhIyLJlyxobGy9evFhQUKDRaKKiouhp1YSQu51BzefzfXx8wsPDOekSicTHx4fP59tsNp1Od+XKlRkzZnDK3JnZbM7Ozt65c+fJkye1Wq3dbvfz8xs9erRMJuvdu3fPnj1lMplUKlUqldyav8RisZSUlJw+fZoQwuPxzp07RwixWq3p6envvvtueXk5IUQoFDIMc7dBdV1d3eHDh7Ozs1NSUsxms1qtrq2tDQ0NffXVV/v16yeTyXx8fNoXSLtqaGj45ptv1qxZU19fr1AoRo0aNXjwYJPJdOnSpby8vMbGxi5duhQXFyOoBoB7CIJqAADoiI4fP/7OO++o1eqQkBDXwMNmsxkMBpPJ5FIWOiEfH5/Zs2fX1dVt3brV4XA40yUSSXh4uMFguHDhAh3Elkgk7Q7AGIYRCoW3huKenp49evQQi8U2m62+vv7q1aucArdjs9k0Gs2pU6c+//zzxsbGysrKpqYmpVLZs2fPN954o2vXrnw+393dXSqVcmu2WWho6Mcff1xUVLRnz56tW7c2NTVVV1cXFBQsXrxYo9EEBQXJZLIRI0Y8//zz3Jq3Z7FYzp49++abb16/ft1gMOj1erFYPGTIkLfeesvNzS0qKkoul3PrtAvLspWVlTt37szLyxs0aNDHH38cGBjI5/M1Gs2aNWtSUlKEQmFwcHDv3r25NQEAOjAE1QAA0OFotdrz589fu3atX79+S5cujY+PZxgmICCAWw46L5FIFBsbO2XKlH379t26FZlIJPLx8VEqlVVVVZystqirq8vIyOCmuhAIBDKZjC4xsNlsbezEKSoqWrNmTU5OTn5+Pl1+HBkZ+dZbb/Xt29fHxycyMvJuV023SiqV9ujRIzo6mhCya9eu7OzsmTNnCgQCPp//8ccfDxo0iM/ne3t7h4SEcGveXk5OzjPPPFNQUEA3bxMIBPHx8Z9//nm3bt24RX+d0tLSd9555+rVq6NGjXr//fedx6EplcoHHnhgw4YNgYGBCxYs8PLyurkeAECH9htc3AEAAH5bjY2NarU6ODj48ccfnzhxooeHh8Ph8Pb2prnNzc30eOE7MBgMLS0tPj4+3IzWNDQ0qNVqLy8vuuEzdBBCoVAul7caiFqt1rq6Or1ez81om4aGBrrtdluEhIRMnjyZm9oatVq9ZcuW5uZmuoMaISQoKGjOnDkeHh6/+RYAQqEwKCgoNDQ0Pz//7Nmz8fHx27dvDwsL8/T05BZtA7pJQUhICO0LIITw+XyHw1FUVBQQENDqqWbtUFFR8cEHHxw8eFAqlQ4bNsx5NjghRKvVHj58mBDi7e09fvz4/9UBALgXtHKjAgAA+BP9/PPPGzdu/Omnn6RSaWlp6aFDhx599FEej8fn850FDh48SDd8vpXFYjlz5szGjRsNBkNoaCg3uzUajSYvL2/y5MnvvPMONw86JLvdbjKZWlpauBltY7fbzWYzN9VFfX19VlYWLSOVSv39/bklWhMeHv7WW2/l5eV9/vnnNKWkpGTlypVyuXzkyJFjx469ufivFRMT8+qrr86bN89ut0skkj59+nBLtFlMTMz27dsbGxv37t27evVqu92ekZHxt7/9zc3NrVevXqNHj545cya3zl2y2WzFxcVJSUmEkHHjxs2bN8/5jSaEVFdX79q1S6lUJiYm/lZTzQEA/jAIqgEAoGMpKyv78ccfr1+/LhAIduzYsX///rVr1xJCampqaIHGxsZDhw7169ev1Ya+1WrNzs7ev3+/3W4Xi8Xc7NZYrVaj0VhZWcmy7Isvvoipp51eSEjI+PHjjxw5ws24wWg0lpeX063R2i4gIODxxx9vamp65JFH8vPzP/zww/Ly8q1btwqFwu+++27IkCF///vfxWJxSEiISqXiVr57MpksIiKCEBIUFPTQQw9xs++GTCbr27evzWaLiooaPXp0UlLSqVOnMjMzeTxeVlbWsWPHtmzZMnr06KlTp9Jp5+2Qm5u7aNGiqqoqT0/PiIgIzo7rVqtVq9WGhIT07NnTNR0A4J6AoBoAADoQnU6XlZVVUVFhsVgsFovRaCSE0JOTXOn1erVazUmkxGJxYGCgn59fcXFxfHz8/PnzuSVucebMmQ0bNkRHR48ZM+bWPaug85FKpX5+ftxUFw6Hw2q1sizLzbgjetaUp6dnUFBQ3759u3XrlpSU9N577xFC6urqKioq0tLSQkJCHn300ZiYmMGDB3Prt5dUKv1NVi4IBILAwMAJEybExcXNmTOnoKCgsrJy8+bN+fn5arU6Nzf3+++/j4iIUCgUkydPvqujy2pra7/99tusrCxCiFwuj4+P55YghBDC4/Ha2BEGANChIKgGAIAOpLCwMCUlhWGYnj17Tpo0adKkSYSQn3/+OTMzc9CgQenp6evXr+fWuZlAIBg1atS3337b3Nzs7e3dlpO3Ro0a9dhjj3l7e0dFRYlEIm42dF4Oh6OpqUmr1TpX7N+q7dO/XXl4eAwePDgqKiohIaGpqeno0aNr167Nzs4uKirKy8uTyWT+/v4jRoxYsWIFt2ab6fX69PR0Qohard6zZ8+vHKx2EgqFISEhgYGBffr0aWlp6dmz5yeffFJWVlZaWlpWVpaenk5347fb7V5eXgMHDuTWb01zczNdxC6VSuPi4kaMGOHMohuPv/TSS4QQoVDY9vO6AQA6DgTVAADQgRQXF1+8ePH+++9/4403wsLCaDDTp0+fadOmicXiNm5MpVAonLsKt4VMJuvSpQs3Ff4CbDZbVVVVXl7ekCFDuHk3eHt7u26p1XZ8Pt/Pz8/Pz89ms/Xs2XP06NGZmZlvv/02nXlx7dq1vLy89PT0iIiIRYsW3XpW9i8qLi5et24dIcRkMlVWVnKzfx0+ny+TyWQy2bhx4yIjI8vKynbu3Llt2zabzWY2m3fu3JmUlCSTycaMGbNkyRLOXO5bsSxL59LzeDy5XO66wqKxsTElJeXy5csMw0gkknb0XwAA/OkQVAMAQIdgNpsvXrz4zTffBAcHz507d+DAgc4Nk+mUWrvd3r17927duuXm5tbV1f38888ajcbX1/fmhwH4ZXRDrKKiotOnT2s0moyMDE5Q3djYWFBQQAjx8/MbPXq0h4eHa+7dEggEXbp0CQgIuO+++4YMGVJeXq7VavV6fXJy8qFDh2QyWXp6+iOPPLJw4UJuzdvQarUHDhw4fvx4jx49ZDJZZmZmaWnp1q1bH3/8cW7RX42e4BUVFdW9e3e6mEKn0x0/flyj0ej1+pMnTz7yyCN3DqodDkdlZWVqaio3g5D6+vqUlBSDwcCyLI/Hu133VkNDw/Hjx41G4+zZs123NwMA6CAQVAMAQIfQ1NSUmpp64sSJESNGxMfH33oEEZ/P9/DwcHd3J4SYzeaGhskzTHcAACAASURBVAbnwUW/H4vFkpSU9Nlnn/Xt2/eZZ56JjIzkloB7kFwuHz9+fHNz8+nTp6urq1NTUxctWuRaoKam5vTp0/7+/vPnz583b55rVvswDEPP1h49erTJZKJbBjzyyCO1tbWFhYWrV6/et2/flClT2rg0uqysbPXq1TKZbNWqVYcOHcrMzNRoNCdPnvw9gmpCCMMwYrE4LCyMLqawWCwDBgxoaWkxm82NjY1RUVHcCjdjWbalpaWuro6bQUhlZeWHH35YXV1Nf9Xr9evWrTObza778BsMhn379r333nt2u/3s2bN0cB4AoENBUA0AAH++ysrKEydOnD592tfXd9KkSSEhIdwSf5KioqLdu3cnJycbDIaEhAQE1X+kvLy8jRs3NjY2EkLMZrPr5P+amprz58//r+hd4vF4CoUiPj7+/vvv/+mnn5KTk1999dXly5f7+PiYTKZTp069+eabDQ0NCoUiLCwsICCAW/9XoOOxdOWwr68vy7IDBw4cMGAAj8eja5VvR6fTpaam1tXVtbS0XLx40WQyvfzyy7GxsXREvaWl5fTp0++++26PHj2GDx/exhPa20ckEjmHpu92LzebzVZeXn706FG6uXp1dfWwYcMqKyvLysoIIQaD4fz585yTya1Wa2VlZWFhISEkNTU1Nze3W7durgUAAP50CKoBAOBPxrJsYWHh119/feHChZ49e0ZHRzMMwylDd2M2m80Oh4OmnD59esOGDStXruQ0wX9bOTk5SUlJDocjJyfnyJEjCQkJ3BLwO7Db7RaLpaCg4PDhw3QtbnNzs1qtNpvNAoGgsLDwn//8p/NArPPnz48cOXLQoEH/+te/bnqUX9K1a9ennnrq/PnztbW1ycnJDz74YEVFxZ49e0Qi0eXLl3k8XmRkJN0q73fCMAzDMB4eHv369ePm3ay8vHz16tU//PCDxWKx2+1dunT57LPPBg8e7NxEzeFwlJWVrVmzJi4uLioq6ncNql3d+lVtFT1nnr6tFy9eXLJkiclkksvlDzzwwBNPPLFlyxZCiMPh0Ol0TU1Na9as4da/obGx8fLlywiqAaCj+R0bIgAAAG2RmZm5du3as2fPNjU1FRcXf/DBB1lZWUuWLHEtk5OT88UXX5w6dcp5vFZdXd3XX3/t6+s7f/783+8YnqCgoD59+iQnJzc1NdXW1nKz4fdx4cKFV155RafT0WFqQkhZWdlbb72VlJS0YMECu92elpbmHLjW6XQpKSnt2DXazc1t/Pjxr7322ltvvZWTk0OXNFdWVkokkuDg4IULF06YMKGD7JtlMpny8/PpoLSbm9vw4cMHDx5MV3qHhYVNnz597969Vqu1sbHR3d29HXue/a54PF5MTMySJUs+/vhjlmUbGxvNZnOPHj1mzpw5e/Zs55eXYZiQkJClS5fGxsa6VpdIJOHh4W5ubkaj0W63NzU1ueYCAHQECKoBAOBPRkeDaVtZLBYLBILm5mZOmS5duvTs2dNsNn/22Wc05eLFi9u2bdu0aRMhhLMg9jfUrVu3KVOmpKenNzQ0cPPgdxMTE/Puu+9yUwmRyWTh4eE8Hm/Tpk0mk8k1685zp29HpVI9++yzo0aN4qS7ublFRES07zF/DyEhIQsXLqTLkl944YXevXs7OxFCQkKWLVtms9kqKiqeeuqpMWPG/Mpt1X5zDMP4+fktX7584MCBGzZsyMrKiomJ+fTTT4OCglQqlcViSUxMPHbs2IMPPjhlypTu3btzqkskkoSEhE8//XT+/Pk8Hk8qlXIKAAD86RBUAwDAn6x79+5Lly6lP0dGRsbHx8vl8puLELlcPmPGjAkTJjg3B+7du/eYMWMsFsvvOtNVLpfPnj3bz89v7969wcHB3Gz4fXh7e7seZXyrNh6P/It4PJ6vr2/H30NeKpWOGjUqNDSUEBIVFSWRSJxZYrE4Pj7+o48+MplMoaGhnp6e/6vWYfD5/MDAwGnTpvXu3ZsOp/fs2ZNmiUSiIUOGbNmyJSgoqNXvMo/H8/b27t27NyFEqVSOHz+eWwIA4M+GoBoAANqEZdmCgoLLly/f1RHQbdG9e3dnvCqVSm83zqZUKl1HDhUKhUKhcMn/XfB4PD8/v4SEBIZh/oDNxuHeZTQay8rKrly5curUqWXLllmt1qysrO3bt3t7ew8fPnzr1q1KpXLChAm3dhaIxWI/P79fXMLg5ubGmRftJJFIoqOjualtlp+fv2LFivatbggMDHz22WeHDh3KzWiNRCK5dSCaECKTye58ErhOpztx4gQhRCQSdfweEAD4C0JQDQAAbcKyrMFgqK+v52b8alKptCNP6bx+/bparU5MTLTb7dw8gBuysrKeeeaZhoaG2tratLQ0lmUbGhrKyspEIlFycvL169dFItGlS5f++9//cip6eHjExcWNGTPmd90U7Q4MBsO5c+cqKiq4GW0QERHxyCOPcFN/a1arVaPRBAcHP/vss9w8AIAOAEE1AADAbVmt1vz8/P3790+ePHnixIncbIAboqOjn3766S+++IJOoPD29k5MTNTpdJcvX1YqlbNmzWppaSkpKeHErna7va6uLisryzkd+o/n7+//3HPPtW/XAKVS+WsGydtIJpNNmDBh0KBBmPsNAB0TgmoAAIDb4vP5/fr1CwwM9Pb25uYBuFAoFLNmzXIu9haLxQqFwmKx6HQ6+rPdbm9ubjYaja61HA6H0WgUCoV/4tnsvr6+8+bNcx5Wd1f4fP7t1mv8htzc3IYMGUIIacce7wAAfwAE1QAA0Cb0QN0/YBlzh8Lj8VQqlUql4mYA3MLd3b1Pnz6cxDtHyyzLOhwOhmF4PB43748iFApb3SGs4+DxeAinAaAjQ1ANAABtwrKszWazWq3cDABoL4Zh+Hw+NxUAAO4pf1q3KAAA3Ft4PF6XLl26devGzbinlJWVpaen05+1Wu358+evXbt2cxEAAACAu4CgGgAA2komk3XMU3Db7vLly08//fTq1avNZvOxY8eeeeaZ1atXX79+nVsOAAAAoG0w/RsAADq/n3766ZNPPvH29vby8qqtrV27dm1KSkp2dnZBQYFKpTIYDNwKAAAAAG2DoBoAADqzc+fOffbZZ1evXs3Pz584ceKSJUtmzJihVqv37t2bn59PyzAMc3MlAAAAgLZCUA0AAJ1Wc3PzlStXfvzxR4VC8dBDDw0aNKhnz548Hk+tVp85c4YQ4uHh0b179/DwcG5NAAAAgLZBUA0AAJ3WpUuXNm/e3NTUdP/997/88sv+/v6cg4vc3Nz8/f1xWg8AAAC0G4JqAADotMrLyzMyMuLi4p555pnY2FiBgHvXGzBgwN/+9jdOIgAAAEDbYfdvAABoE5ZlCwoKnOdRdXAOh+PMmTNbtmzh8/n9+/cfNmyYa0TtPHBbqVSGhob+rxoAAADAXUJQDQAAbcKyrMFg0Ov13IwOyWAwnD9//syZM/369Zs9e7abm5trrl6vLysrc00BAAAAaB/uRDgAAIBOQKfTFRUV2Wy24ODgiIgI16yjR4+uWLGiqKhIJpN5e3u7ZgEAAADcLQTVAADQCWVmZu7fv9/LyysmJoYTOVdVVV28eJEQEhcXN3LkSNcsAAAAgLuF6d8AANDZNDQ05ObmVlVVCYVCd3d3kUjELUGIWCyOi4sbMWIENwMAAADgbiCoBgCAzqawsPD06dPc1Jvx+Xy5XO7p6cnNAAAAALgbCKoBAKCzaWpq0mq1tybW1tY6HA5OOgAAAMCvgTXVAADQ2fTs2XP8+PEXLlzQ6XSbN2/Oz8+Xy+WNjY3Tpk2bOHEiLWM2m4uKinJzc7t163ZzbQAAAIC7gKAaAAA6G29v7/vuuy82NjYrK+vatWulpaVCoTAwMHD48OEMw9AyDMPweDw+n39zVQAAAIC7g6AaAAA6G4ZhBg0atGnTpm+//XbVqlVDhw5dvny5TCYLDw8nhIwZM+b9998vLy9/+umnQ0JCuJUBAAAA7gaCagAA6IS8vLzi4+ODgoISEhICAwN79OjhzAoKCvr73//e1NQUGhrqUgMAAACgPRBUAwBApxUQEBAQEMBJZBjG29ubc3g1AAAAQPtg928AAAAAAACAdkJQDQAAAAAAANBOCKoBAAAAAAAA2glBNQAAAAAAAEA7IagGAAAAAAAAaCcE1QAAAAAAAADthKAaAAAAAAAAoJ0QVAMAAAAAAAC0E4JqAAAAAAAAgHZCUA0AAAAAAADQTgiqAQAAAAAAANoJQTUAAAAAAABAOyGoBgAAAAAAAGgnBNUAAAAAAAAA7YSgGgAAAAAAAKCdEFQDAAAAAAAAtBOCagAAAAAAAIB2QlANAAAAAAAA0E4CbgIAAMBfklarLSkpaWhokEgk9913H4/XSfqd9Xp9UVGRQqGIjIzk5gEAAMCvhqAaAACAZGVlrVu3Li0tzWq1yuXyJ5988sknn+QWujdlZGS88sorfn5+s2fPnj17NjcbAAAAfh0E1QAA8BfS1NTU0tKiUqk46WazuaSk5NKlS4SQoKAgnU7HKXDvEggEPB4vPT3dYDAolcrx48dzSwAAAMCv0EnmtgEAALTF+fPnN2/ezE0lJDo6euTIkfTnXr16TZky5abse1nv3r2XL18eGRl56dKl77//npsNAAAAvw5GqgEA4C/h6tWrX331VWlpaatDtXK5fNy4campqRkZGaNHj+5My4+9vLzGjx9vt9v/9a9/ff/991ar9eGHH271RQAAAIB2wEg1AAD8JVy7dm3Tpk0sy95uFLqqqionJ0cmk/n4+PD5fG72vUwul0+cOPGFF15QKBQ7d+7csGFDVlYWtxAAAAC0C4JqAADo5I4fPz558uT3339fqVQmJCT4+/tzSxCiVquTk5NLSkrc3NwUCgU3+97n6ek5derUJ554wmg0Xrhw4eDBgxaLhVsIAAAA7h6CagAA6MzS0tI+/PDDQ4cOabXauXPnPvjggwzDcMqwLJuXl5ecnMyyrFwubzXq7gS8vLymT5++YMGCxsbGwsJCo9HILQEAAAB3D2uqAQCg02pubs7MzLx8+TIhJCIiYvz48a0GzPX19ZcuXcrJySGECAQCsVicn59/4sQJZ4GuXbuOGTPmfxU6gKKioqNHjxJCIiMjExISaKLJZLp69WpeXl6fPn169+59UwVCCCGhoaFTp05NSUmpqqpqaGjw8vLilgAAAIC7hKAaAAA6raampvLy8sbGRrFY3LVr1549e3JLEEIIMZvNer3eZDIRQry9vQMDA48cOfKvf/3LWSAwMLCkpOSJJ54QCP78+2ZlZeXu3bv37NlTVlZGCImLi1MoFN27d//xxx+//PJLrVbLMEyvXr3i4uIWLVrEqSsQCLy8vNzc3C5cuLBhw4Z3332XUwAAAADu1p/fOAAAAPid2O32lpYWm802ZMiQp556yt3dnVuCEELI9evXz58/T3/WaDRfffXVjh07SktLnQXUarWfn9+oUaM6wq7gIpEoMDAwOjq6pqYmPz9foVBoNJqoqKiioqIjR44QQiQSicPhGDZsGLemC61Wm5uby00FAACAu4egGgB+R7W1tbt27aKTVF1NnTp1zpw5EomEk/6LDAYDXfXKzfgD5eTk7Nix4+eff3amqFSqGTNmTJw40aUU+f7777/88stJkyY99dRTQqHQNQv+MNXV1deuXSOE+Pr6RkdHc7NvKC0tvXTpEv35+vXrR48e7dGjx/vvv08IuXjx4tq1a+vq6rRabW1tbUcIqr28vMaNGxcYGNjc3Jyfn0+H2dP+H3v3HdD0mT8O/Mkgg0DIZoaww5QhCAiK4l511VmtZ6/D2tb27LW1vY7r+N21d3bb1l61V1u31oVFURQVUDayInvvACELsvP74/NtLn4ABUQF+379lbzfzxMBV955nuf95OScOnUK+/LYbPbSpUsXLVqEn3k7jUbT29sLO8ABAACAewRFNQDgPjKbzQ0NDRcvXtRqtZbgjBkzHB0dtVrtSItqrVabkpJiMplWr16Nzz0o+fn5X331VXJycldXlyVIp9O7urqYTKb12mBtbe3Zs2dNJlNMTExYWJglDh6kpqamoqIiNpvt5eVla2uLT/9Oq9WqVCrsMZ1OX7hw4cKFCwMDAxFCoaGhCoXiiy++6Orqqq6ujomJuW3mw4Bt4Q4LC5s+ffqRI0eampqSkpLWrFnz3HPPeXp6IoSoVKqbmxufz8fPvF1tbW1KSsqaNWvwCQAAAACMBBTVAID7iMViRURE+Pj4lJWVYZGoqKitW7cmJCTcocIZlFwuP3ToUGlp6RNPPIHPPSi5ubmffvrp+fPn5XK5QCBYtWqVWCxOTU3Nycm5evUqi8Wys7Oz1M9Lly6tqqo6depUSkoKFNUPi0Kh6OjocHZ2dnV1pVKp+PRg/P39N2zY4OjoiD3l8XjY8q9Go1EoFLcNfagYDIaPj49IJGpoaGhsbORwOPPmzWMwGPhxQ1MoFM3NzfgoAAAAAEYIimoAwNi4cOHCuXPnvL29582bZ9lnS6FQ5syZ09/f/+233xYUFCCEYmJi5s6d6+DgYJnY3t6ekpJy8+bN2bNn32HDamFh4alTp3x9fb28vPC5B6WkpOTSpUsMBmP58uXz58+PiYlhs9kzZsy4ePHi3r17k5OT9Xr9iy++iK1Xe3l5bdmyRaVSnT17VqvVzpo1Ky4uDv+K4D4zGo16vZ5EItnY2BCJg98iWVlZmZaWhhCi0+keHh5xcXGDdgi/q4aGhqSkpJqaGnxieIKDg9evX0+n0/GJoYWFhW3atOmDDz5ACFEolGFW1F5eXnPmzLl58yY+AQAAAIBRgaIaADA26uvrT506ZTKZzpw589xzz61cuRKL8/n8KVOmnD9/HiuqHRwcrCtqpVJ59OjRr7/+WiqVSqVSDw+Pgf2Z8/PzDx48eO3atY6Ojujo6JEucY+VK1eu7N+/XyaTxcbGrl69eubMmdj29eDgYBqNVlJS8tNPPyUnJ7u4uPj5+QkEAoSQv7//mjVrdu7c+c0337S3t7u6unp4eOBedgIhEAje3t6hoaH4xESmUqmuXLly9uxZhBCbzV62bBluO/T169e///57hJCjo2NAQIB1Cqezs/PcuXOZmZn4xPAsWrTo8ccfH1FRzeFwfHx88NG7EQgEj9hvIgAAAPBwQVENABgbQqFQIBDk5OS0tbV5eHhMmTJFKBRiKRsbm6E6dV28ePGHH36orq5GCDGZzIErhHq9/saNG7/88otUKl2+fPmKFSseSlHd09Nz9erVnJwco9EYEBAQExNjORBOIBDc3d2x2kapVLa3t2M3MyGEKBTKlClTIiMjr1y58ttvv4WEhDz//POW15xwCASCg4MDj8fDJyYyvV4vlUqxE/I2NjYuLi6WP7cIoYaGhpMnT5aWliKE6HQ6m822pAYSiURbt25dsWIFPjE8IpFoRBU1QqigoGDv3r346N1gF3HjowAAAAAYLSiqAQBjQyQSeXh45OTk6PX6rq4umUxmXZwMqrOzMyMjA7vXJzExce3atVwuFzemuro6Kyuru7vbyckpISEhKCiIRCLhxjwAarW6s7Ozr68PIcRkMnHFFZVKtZRDra2t9fX1IpEIe8rlcmNiYgICArA9xrNmzfLz8/vfTDBuCASC5cuXWx9AwNrsYV3BGQyGn58f1gZsKDweb/bs2SaTCZ8YHmyPOj46NKVSmZOTc+PGDYRQRUVFUlLS1KlT8YMAAAAAcP9BUQ0AGBsikchScphMpuGUFuXl5Tdv3jQYDAghNzc3SyFqLSMj4+LFiyaTKSgoKDIykkwe/F+t06dPHzx4EHu8dOnS9evXY4+bm5t//fXX69evI4Qee+yxUTc5M5vNJpPJbDbjEwMUFRVlZmYmJCRgT4lEYkJCwrZt23bt2nXt2rWzZ89u37799hlgXBCLxWvWrLEum9PT09955x2JRIIQiomJ2bp1q/XJhYGIROKDXAHOz8/fvXu3TqdDCMlkstraWvyIIZSXl588eRIh5Ovru3jxYnwaAAAAACM0+NtTAAAYKQaDMcw+SRYKheKu7ZSlUmlnZ6ednV10dPSkSZPwaYQQQp2dnaWlpenp6VKpFCHU0NDg4OCALTmWl5cfP348KysLITQmHc68vLzufLC2t7e3u7vbOsLj8QIDA/l8vkQiycjIWLBgwZ1fYfxQqVSdnZ2W69DYbLazs/PtQ8Y7Ozu7O+9Xz83N3b9/P0LI3t7e0vEbISSXy7OysjIyMggEgq+v77Jly4KDg/837WFrbm5OSkqqqKgIDQ318fH59ddf29vbi4qKhnNYuru7G9sewuFw7nB3NwAAAACGafBWqAAAcC+ys7OxXanDRyAQCAQCLlhSUlJYWIgQsrGx4XA49vb2uAEYOzu7gIAADw8Ps9lsMBiKioqSk5Pb2tpSU1N37txZWlo66IuPTkRExLRp0/BRhGbMmLF06VLs8cCFeuwLMJvNhYWF6enp1qk7MJlM+ntmNBqHs8A+KJlMVl9fj216RwhNmzZt7dq1tw8Z7zgcjlAoNJvNg/4QJBLJTz/9hFWYuD8hWVlZe/fuNZlMFAolNjZ25cqVQzUPf/Da2tp+/vnnrKys11577dtvv503bx5CqLa29uLFiwihmzdv7tu3Dz/HCrbtIiQkZNOmTePnmwIAAAAmLlipBgCMvfb29ra2Nnx0aDwez9/fn8/n4+ISiaS4uBghFBAQEBISgsta2NraJiQkODs7f//99/v27dNoND09PbW1tSkpKWq1+t133/Xy8iISiaPokzyQg4PDwIPfCCEikWipT/Ly8i5fvjx79uzbhyCEkFwux61j38Fvv/32ww8/4KMjQSAQ4uPjN23ahHUjH6m6urqCggKj0Yg9dXJywm5snkBsbGzodHpFRUVJSYlCoWAymdbZ7u7u+vp6hBCbzQ4MDMRWquVyeVFR0bFjxyorK3k83sqVK1988cWHvkRfW1t7+fJl7HFnZ2dycrKDg8NLL73k7OyM3TXd09Nz6dIlOp3e0tLi6up622QrOp1OKpV2d3f7+voGBgbi0wAAAAAYOSiqAQAPh9Fo7Orq6unpQQjRaDQOhzOw9XFLS0tjYyNCKDw8PDo6Gpe1xuVyY2Njs7Ozjxw5otFo0tPTnZ2dIyIi5syZM2XKFAcHh3tcqdbpdJZd0INisViWDwXa29ubmppuz/8flUpVUVHR2Njo7u6Ozw1QV1eXlJSEj44EkUik0+mrV6/GJ+7GZDJpNJrS0tKioiIsMn/+/C1bttw+agJwcnLy9/e/fv16a2urXC7HFdVkMhnr4t7X19fe3i6TyYhEYk9Pz9mzZ5OSkmg0WmJi4uuvvz4mBwfuUVVV1RdffIE1lufz+SwWy83NDSv1XVxcIiMjCwoKsrKysA3hq1atws//nUqlqq6u7uzsFIvFsEwNAAAAjAkoqgEAYyY6Ojo2Nhbb+F1cXHzz5s2wsDD8oN8ZjUa5XK5UKhFCfD7f+jirhUaj0Wg0CCEmk3nnHlGY2bNn37hx4+jRoy0tLWlpadHR0QkJCWPSOyorKys1NRUftWJvb89isbDH3t7eA2/bxuj1eplMdteT5Jjw8PC//OUv+OhIEAiEsLAwXCV5V3V1dRcvXszPz8/IyFAoFHQ6PTw8fPPmzcM5rzveODo6Tpo0iclkZmdn79+//80337TO+vv7r1q1qrq6uqmpKS8v7x//+AeFQvHw8DCZTJMmTYqKilq/fv14qKgRQh4eHpMnTz5w4ACTyQwNDV28eHFUVBSWEgqFMTExeXl5JpPJz89v7dq1/v7+t8/+PyqVKiUlZe/evSQSycXFZTh/p8YDrVbb0tKi0+mG+r4wWq22tbVVq9XeeRgYb7RabXd3t4uLCz4BAAATBxTVAIAxM2XKlBkzZhQUFGi12vT09EOHDvH5/KF2ospksoaGBrlcjhCKioqKjY3Fjxg5oVBo6d4cHBwcExMzJhU1QkipVPb29uKjVtLS0rCOygghLy8vXFEdGBgYFRWVlpZmHbyr8PBwDw8PfHQkCAQCnU4fUVGt0+lyc3N3795dXV2tVCqnT5++ZcsWHx+f8bDxW6VSdXd329nZDboDf1AMBsPHx0coFJaVlSUlJcXGxs6YMcOSZbPZK1euFIvF2GcHdDrdbDZzOBwymazRaAQCwVB/eh88T0/Pt956a+XKlRQKxcnJydXV1bIzwsnJaevWrW5ubvX19c8995yXl9fATR8IIbPZXF1dfejQoYqKiunTp2/fvn38F9Xd3d1JSUm//vqrSqXy9vbesWPHwEMcBoMhKyvr008/NRqNKpXKYDBwuVwnJ6dVq1YlJibiBoNxwmQyVVVV7dy5s6ury2g08vn8999/383NDT8OAAAmCCiqAQBjxsHB4fHHH5dIJKdPn+7p6Tl37hyVSl2+fHl9fX1paan1yLq6up9++unEiRN6vT4wMDAxMXF0h37vwNXVddA7ukYnKipqxowZd9iM3djYWFVVhT2m0+m4RujYu3zryHDY2dnZ2dnho/cZgUAwGAwymQzbRNDb29va2hoSEsLhcPBDH7iMjIx///vfXl5eTz755KDt4gYikUjR0dErV64sKyuTyWQDt+ULBIIJUXpRKBSxWCwWi/EJhKhUakBAgKOjo0wmu8NnHxKJ5N///nd6erq7u/uKFSsmxL4D7AzC2bNnEUJSqfTWrVsDi+q6urrdu3efOnXKOshgMPR6/YT4nf1j6u/vz87OPnDgAHaiwd7enkKhfPfdd/hxAAAwQUBRDQAYMwQCITg4eMaMGZmZmV1dXVVVVXv37k1NTdVoNJaC89ixY6WlpXK5vLy8vK2tTSQSbdq06X68983MzLx06dKsWbPwiVEZV4uW9xWZTHZ2dvb391cqld3d3ZWVlYcPH8a6rz/c/ZldXV3Xr1+/fPlyRUVFQEDAMItqhBCPx1uxYkVZWdmlS5fS0tKmT58+hp+2jB8c9ULwswAAIABJREFUDucOH3zI5fKrV6+ePXuWRqOtXr36DoeuxxUbGxt7e3sSiWQ0Gmk02sAdCgqF4urVqxcvXoyNjX3hhRfa2tp2795dU1OjVqtbW1txg8H4QaFQ3NzcWCwWVlQ7Ojo+/vjj+EEAADBxQFENABhLFApl2bJlAoHg559/TklJaW1txb21raioqKiowB4HBAQ8++yzq1evHtj3e3QKCwtra2udnZ3b2tpKSkquXr06ZcqUoS7iGp2cnJzLly/foSYJCwuLj4/HRycOAoEQGhr63nvvVVdXnzx58sSJExKJ5Ntvv62pqXn22WeHOiv+APT392OHBbRarVqtxqfvSCwWz58/PzU1Fasqt27dOq4unb7fiouLv/jiixs3bjg4ODz11FObNm16uJ+PDB+LxVq6dGl/f391dfXy5cv9/PxwA6qrq3/++Wej0Th9+vTVq1erVCqBQPDll1+2tLTExMTgBoPxw8bGJiQk5Omnn/7www/t7e1nzJhhfS4DAAAmHCiqAQBjTCQSOTo6BgYGJiQkZGZmlpeXNzU16XQ6ywA3NzehUGhjY7No0aInnnjiDhW1vb09k8kcTlsvs9mckZHxn//8R6fT+fn5tbW1KZXK9vb2vr6+sS2qKysri4qK7lBUD9qlTKFQyGQyhBCZTLazs7O1tcUNGNRvv/22Z88efHQkCARCXFzck08+eYcf8kAcDmfKlCmhoaFarTYzM7Ojo6OioqKrq0sgEAz81h4YrVZruTF7pGg02sKFC3t6ek6dOtXY2HjhwgU6nX6HndKPGIVC0dTUFBMTs3HjRn9//4lSUSOEKBRKcHDwtm3bent7hULhwL84Uqk0Ly+PxWKx2WwbGxs2m71s2TJfX1+VSjWwAgfjCo1Gww5R0+l0Ly8vEomEHwEAABMHFNUAgDGGNccKCwsTCoWLFi1qaWkpLCw8depUbm4uQmjBggXPPvuss7Mz1n/4zsWeh4eHt7d3YWEhPjGAwWDIycm5du3ahg0bTCbT1atXTSaTwWAwmUz4oaPC4XB8fHzYbLZMJsMakg+FQqEM7I5WW1tbVlaGELK1tfXw8Bjmpcc1NTW4k6IjRSQSKRTKKPZVYndxhYeHx8TEnD59GiHU3d2N3Yf8UBiNxtLS0itXruATw+bi4vLUU08lJCRcuXLlP//5j0ajeeutt/CDHlGBgYEfffQRh8Px9fXF58Y9Mpns4uIy1AcBBoOhv78/JCRk7ty5WITJZI5J18MHRqPR5OTkHD58WCQS/fnPf+bxePgR41VPT8+ZM2dycnLIZPKkSZOefvpp/Ig76uzsPHHiBEKIQCBQKBR8GgAAJhQoqgEA9wuXy+VyuYGBgc7Ozjdv3sSK6pCQkIULFw7zLZSdnR3WuTolJSU6Onrp0qX4Eb8jkUiLFi0Si8V+fn69vb1lZWXJycmtra35+fmRkZGDNglLT08/ePBgX1/fokWLli5dOrAStsZgMB5//PHq6urdu3cXFRXduHHD+o17W1sbdp92YGDgnDlzBn5SoFQqsZVqoVAYEhIyaHPmgdzd3S2lwugQCIRJkyZhVzGPgoODg3UDuZqamvz8/MmTJ1sNeUCwO9Lq6uoQQnq9vre3V61W47rB3RWPx+PxeM7OzmKx+JE8Vj0UDodz52veJyi5XF5dXY09qKqqCg8Px48Y36RSaWpqalVVVVJS0q1btxwcHCorK1944YWIiAj80HGmt7c3JydHKpUeO3bs6tWrNjY2U6dOXbhw4VCffQxkMBiam5tLSkoQQjQa7R6vOQAAgIcOimoAwP1FJpNLSkqwihohVFVVVVFRERIScvuowQUGBoaEhFy9erWurg5792zt4sWLR48e1Wg0ixcvnjx5stlsXrx4MUKora0Nu1s4Ly/v73//+5NPPvnMM8/g6tjCwsLvvvvuzJkzer2+sLBQq9Vu3LjRegAOgUAQiUTTpk1LTk7Oz8+/dOlSZGSkjY0NlrUsREdHRy9ZsmTgJlWLyZMnz5w5Ex8dQlxc3D3WfgQCAdsZi08Mj6OjY0BAgL29PdYJvLCwMCUl5cEX1XV1dXv37j1x4oTRaEQIqdXqhoaGzs5Oy/VpI+Lu7u7u7o6PggmoqanpwoULCCGFQoF94DJRdHZ2Hj9+/MKFCxUVFb29ve3t7QghtVp969atcd4QUaFQpKSkHD58uK6uTqfTtbW1qdVqKpVKIpFGdHWfRqOprq7u7u5GCLHZ7OH3HQQAgPEJimoAwH3U19f322+/7dq1C1vIRQilp6d/9913Tz31VGBg4B2KT4xAIJg2bVpqamptbS12NlsoFGKpxsbG06dPHzhwwGAwSCSSJUuWLFq0CEuRyWRbW1sKhdLd3a1Wq5ubm7FizJrJZLKxsaFSqWq1uqysDCuJ70okEgUEBFy6dGnfvn1UKnXx4sVqtVqj0Vy4cOHmzZve3t7R0dEDd292d3dnZmaWlpYyGAwPDw9HR0fcgKHw+fyBi94PEoPBEAgEVCoVK6plMllbWxt+0P1XV1d38eJFnU7n6elZV1dnMBiwHzt+HHjkqFSqpqYmpVKZnZ0tlUpffPFFgUBgNBqLi4tPnjzZ39+fmZmJEJLJZL/88kt2djZCKDg4+NVXXx3pFdwmk0kul7e0tFRXV+fn58+dOxf7i4x9AWw2e/LkySMqGq319/c3NDR0dHTU1dW1t7f7+fl1dHQcO3YsMzPT1tbW19d36tSpVCrVx8dn7ty5w//3ASHU19fX2NioVqu7urr8/f0tn8EZjUa5XN7R0UGj0YRCIZl8T2/2+vr6Ghoa+vr6CgsLL1y4UFpa2tzc7ObmZmNjM3nyZLFYPGfOHCcnpxHd/9fY2PjVV19ptVoajebt7S0QCGQyWVpaGpa1sbHx9PT8Q3UTBABMdPf07ywAANyZXq8vLy+vrKxECBGJRIRQT0/PiRMnfH19h3NNLoFAmDp16owZM8rLy5OTkyMiIp5//nksxWKx+Hw+kUg0Go2+vr6LFy+2XGDr4ODw5JNPdnZ2/vzzz0uWLNm0adPA/c9+fn6vvvqqSCTau3dva2vrMI9eBwUFTZ8+PTs7u7a2dteuXcnJyQaDwWAwEAiE9evXL1u2bNDeSJcuXdqzZ49UKo2MjIyKisKnxzECgUAgECxPTSZTTU1NcXHxpEmTrEbdX5cvX37vvfdcXFw++OCDa9eu/eMf/8DiZrP59oHgUSORSD799NPq6mq9Xt/a2spiseLj4+fOnUskEl1cXIRC4YEDBzgcjlwux87/L1++HCHE5/MH/n2/q5s3b77zzjtKpbK3t7ejo+PixYt0Ot1kMun1eoVC4eXl9eqrryYkJOCn3Y3ZbC4uLn7nnXcUCoVarZbL5SqVCrv8LDExcdu2bRQKhcPhMJlMEonEZrNHVFH39PQcP3784MGDer2+r6/PyckpMTHxtddeQwjdunXr9ddfV6vVZDI5Jibm//2//4efPAxms1mr1ebk5OzcuVMulxsMBqlUKpfL586d+8knnzg4OBCJRAaDweFwRrGhRqlUFhcXI4SEQuHWrVurqqr++te/1tTUYFkSiSQQCBYvXvzyyy/fNg0AAMYrKKoBAPeRra3tqlWrwsPD9Xq9dVwsFlv2Tt+Zs7NzfHx8ampqdXV1U1OTJc5kMjdu3BgREWEwGPz8/Ky7UlMolKCgoDfffPOxxx7DpSzs7e0nTZrE5XK7u7tTUlICAgLwIwbDYrGeeOKJ0NBQ62bmCCE7Ozs/P79B31lWV1efP3++pqYmJCTkueeei4uLw4+YOMxmc29vr1QqxSfum8bGxlOnTmVmZm7evHnevHktLS1YvLCw8MyZM4GBgbcPB48UEomkVquvXbuGPeXxeNgpegKB4OjouGLFCj6fn5SUVFdXR6PRgoODV6xYcdv84TGZTCUlJR988EFycjKFQpkyZcprr71mZ2dXX1+/Z88eiUSCfu9TiJ95RzKZ7Pr16yUlJampqZcuXcKCTCYzPDzc3d3d0dFx/vz593jpF4FA6Ovry8jIwHbiUKlU7OfT2Nj4+eefnzt3DhtmMBisZw1HZ2dncnJyZ2dnZmZma2trXl4ejUaLj4//5JNPqFSqt7e3WCzGzxkJhUKRn5+PPbazs6PRaM8++6xEIlmwYIFKpcrLy2toaGAwGIP2wgAAgPEJimoAwH1kY2Pj7+/v7++PTwwbiUSaPXt2QUHBN998k5aWdu7cufnz52PLp15eXtjZ6UH5+fkNum5sTSAQbN269fHHHx/+VygSiQYtnodSUVFRWFhIJpNjY2OXL18+6uPNf0z5+fknT54kEom4/asdHR1VVVXWEfDocXd3f+utt/z9/T/77DOlUkmhUKw3YHO5XG9v79bWVqsZI2YymXJycl577bWCggISiRQVFfXZZ5+FhoZSKJTa2tri4mKJREIgEGxtbYd/1Lm5uXnfvn3Xr19vbm6WSqWdnZ1+fn7bt2/n8/lUKtXR0ZHJZFIoFC6Xi585Qvb29suXLxcIBFeuXPnhhx/MZrPJZFIoFJmZmadOnaJSqXw+f+bMmSNqyi2VSg8fPvzbb7/V1NT09fW1tbWRyeTJkye/++67bm5uY9VBTafTdXR0YI8bGxvff//9jo6OvXv3isVinU6Xnp7+/PPPY4euq6qqJmLLegDAHxAU1QCA8c7R0XHjxo11dXUXLlxIS0uLjo7mcDj4QaOSnZ2dnp4eFRU16tOSd9XU1FRVVTVt2rSNGzfe+9voP5TKysqkpKTm5uaYmBjsYnAfH5+pU6dev34dPxQ8iuh0+qRJkzo7O3ft2oXPIYQQsre3v8eu0a2trYcPH87IyEAIeXt7b9myxXJAg0KhsFgshJBQKHzsscesZ92ZUqm8fv16cnIy9pRGo02aNGnVqlVj9a+WBZlMFolELi4u9vb2P/zwg8FgKCkpeeuttyQSybx58yIiIkJDQ0Ui0V0/W7TW1NS0c+dOSwsMKpUaExPzz3/+8/7dUsZisdasWUOhUBYuXIgdEVKr1Qgho9Eok8l6enrwEwAAYFyCohoAMAEEBgauWLGiqalJJpM1NDTQaLS7Njm7K5PJ1NnZWVJSIhKJhnnF14hUVVUdPXr01KlT8+fP37FjBzTdGany8vK0tLSZM2d++OGH2BKZWCyePn06VlRrNBqVSjWi3kjjmdFoVCqVKpUKIWRjY0Mmk/v7+/GDxhSVSmWz2ffYwurhwrqI4aMj0dvbi3V8YDKZiYmJCxcutKT0ej322yESiVauXGmJ3xWZTObxeG5ubmazWaPRKJVKqVSKNfqi0WgDGxneIxsbGz6fz+Pxurq6Ghoajh8/ji0sCwSCUZTxRqPR+g8egUBgs9lCobCjo4PD4QzzzM5dGY1GS6NBJpO5YMECBoNRW1u7Z8+ejz/++PaxAAAwMUzg/00BAH8cFApl7ty5zs7OaWlpu3btWrt27Zw5c/CDRshgMAQHBwsEAg8Pj7F6s2jtxo0bX3/9dVBQ0Pbt2yMjI/FpcEfFxcWHDh1qb2+fOXOml5dXS0uLj4+Pra0ttniIECorK7tw4cKgx2ixa9IuX76MT4xjGo2msbGxubkZIcRgMGxtbe/32XU2m+3v749dNefr67t06dIJV2Cr1ep72f5dW1v77bffYod7AwICXnnlFesqtLW19eLFiwghOp0+ov5hLi4ur7zyyoYNG3Q6XW5u7pdffnnz5s2XX34Zu435+eefH/P7tH19ff/617/u2LED+yDA0dFx+OdZcHx9fb/55puCgoLm5ub9+/frdLqsrKynnnrKzs5u7ty5W7ZswU8YFZVKhXUpc3Fx2bx5M5PJZDAYcrnccrkDAABMOBPsf1AAwB+WQCBISEhwc3NraWnx9vbGp0eOTCZ7eHh4eXndp1pi6tSp33zzjUgkGual3MBaWVnZ+fPntVrt5cuXN2/erNfr2Wy2Xq+vra3FBlRWVp47dy4hIWHgpnqsqP7qq69w8fHMaDSqVKq+vj6EEJlMJpPJd7gzDDuRO9Jbo3Dq6uoyMzOxvvccDictLW3t2rXx8fH4cY8ovV5fWlp65MiRnp4eKpXq5eWF63unUqkaGhpsbGzs7e2t43fFYDCwstlkMoWHh0dFRVVVVR04cEAikWRlZWk0mh07dmBL1mN16oTNZltOO3t5eb3wwgu350eAxWItXbo0Pj5eqVROmzbt7Nmz+fn5Fy9eJJPJRUVFqampDg4Os2bNmj59upubG37y8Gg0mrKyMuz+M0dHx3Xr1mGf7Dg5Oa1Zs0YqlZ4+fRohhN0xBgeqAQATxX15KwkAAPcDmUwWi8X32HjWgkgk3o9d3xY+Pj4j7RgMMGVlZUlJSb29vQihhoaGhoYG/AiE+vv7u7q6Bt0jbTab1Wr1Q7lS+65IJJLl8qdRo9Fobm5uAoEAnxgJuVxeU1NjKd25XO4fqoueVCrNyMjo6ekhk8kRERG4NdiGhoYTJ04ghHg83qi3mWBXf7m4uCgUismTJ9fW1l67du3EiRONjY10Oj0iImLjxo2jXlIeCnalNj46EhQKxdnZ2dnZWSgURkdHV1VVVVZWtre3Hzt27Ndff2UwGMXFxcePHw8ICGCxWHPmzAkLC8O/xB0Zjcaenh6ZTIYQolAolv3wNjY2XC63srISO+JOJpPZbPYodrADAMBDAUU1AACAcaSjo+PUqVOXLl1ydnaeNGlSfHy8v7+/yWSqra2Vy+U0Gu2XX36x3Gc7KCqVunjxYnd3d3xiHCASifeyOxdDJBJtbW2pVCo+MRLYVmHLDe0kEglbMBxvPDw8Fi1a9PPPP+MT90alUtXX1yOEiESiUCi0bsQll8tTUlJOnjyJEKLRaPf44QVCiMlkxsXFTZ48OSQkhEQi5eXlNTU13bp16/r16zwez8PDY/Pmzdi5BiqVOnDnxV2pVCrsZDj6fU/71q1bbx8yGlijOH9/f5VK1dnZyWAwzp0719PTg/VFv3btmkAgMJlMZrOZxWKxWKwRfShDIpECAgKwW7UtdDpdY2Nja2srmUwODAzctm2bdRYAAMYzKKoBAACMI01NTZmZmUQicd26dU888YS7uzuPxzObzTKZTKvVGo3G3t7eL774AiFUUlKSnJz87LPP4l6BTCYP50K1PzgbG5sRVUEPi6WX2NiSSqU5OTkIIQKBQCKRrLsqaDQa7DYshBCfz4+OjrakRg37HCQoKGjHjh3Nzc0ymaykpOTIkSNXrlxhsVhFRUXYZv7g4OD33nsPP/mO+vv7r1279u2332JPZTJZXl7e7UNGj0AgUKlUKpXKZDK3bNkyf/58qVSqUCiwFm6tra179+5NTk7m8XhxcXHbt2/Hzx9MW1vbwYMH6XR6ZGTkokWLrFONjY2ffPJJa2srj8dbt26dpRM7AACMf1BUAwAAGC+6u7uvXLmSm5sbGxv7wgsvWO4hJxAI2EZQo9FoWeZtaGgoKCiwzAWPpN7eXuxOcqVS2dTUNFYdCiydw1kslvVp6qqqqk8//fTatWvYUyaTOYafzmCHtz09PQ0GQ2xs7PTp0zs7OxsbG/fs2YP9ivX19YsXLx7R/u329vbz5887OjpSqdTCwkKtVns/rne2sbERiUTu7u56vd5gMBiNRoRQU1NTb29vcXFxXl6ewWB46qmnLH0Eh9Lf35+fn5+enk6lUh0cHGg0miXV1tb29ddfX7t2TSQSffXVV6GhoVbz/m8Ru6mpyd7eftQb8gEA4P6BohoAAMB4cevWrbNnz3Z1dQkEAktFbc16UdFgMOh0utvz4JGl0+nkcjk+Olpmsxnb+m65OgvT09Nz9erV8vJy7CmRSBzzqwEIBIKNjY1AIMA2lvf29gYFBbW0tCCE2Gy2i4sLfsIddXR0VFVV/etf/yooKHjuuecMBoNMJsNOLI85AoFAoVAsrSh8fHzeeOONtra29vZ2Op0+nB9UV1dXcnKyRqPx8PBYt26ddaqjo+PQoUNMJnP9+vULFiywTiGEWlpa3n777ZqaGjqdPmfOnHfeeQc3AAAAHi4oqgEAAIwLjY2NFy5caGlpWbhw4aZNm/Bp8GBVVFT8+OOPtbW1fn5+mzdvHm9d9wwGQ29v772X2QqF4tixYwqFwtvbOz8/38vL66mnntqzZw+257yoqGjVqlWhoaFvv/02fuYYYbFYs2fPNhgMaNg1fHd3d2ZmJkKos7MzOTlZLBZHRkZSKJTIyEjswPbnn3++bt06LpcbFxeHnzx2KBSKp6enh4eHwWAwm83DuUZBo9FgHx8QiURLU4De3t4zZ87s27evu7s7JCRk0FvBlUplenp6a2srgUDo7u6eOXPmH6dTPQBgQrj7v4AAAADAA5CXl7d//36TyRQXFxcTE4NPD0YikaSmps6ePRufAPesu7v70qVL+fn5XC63v7//nXfeefBnsAsKCj766COlUokQamtr27VrV05Ojru7O41Gi4qK+vDDD7Ee7729vQcPHmxsbFy6dOncuXPxrzIYZ2fnhISEq1evGgyG2tran3/+mc1md3d3L168+PXXX6+ursaKarPZzOPxpk+fjp8/pkgkEolEwkcHo1ar09LSvv/++8bGRuwpi8X66KOPEEJCoXDdunV5eXlyuTwpKUkikUyePPm+FtUYbOEdHx2Cs7Pz2rVrL1261N3dvWfPHrFY/NJLL2m12uLi4suXL/v4+Hz66aeD7re37Cwwm80NDQ0//PADFNUAgHEFimoAAABDio+PX7t27a5du/CJMaXX6zMzM7/99tu6ujpbW9vMzEw2my0WixMTEy1juru7z5w5c+7cubq6OkuwrKzs66+/plKp06ZNswTB2Oru7i4tLb3Dvdn3SVdX1/nz569evYo9VSqVjY2NISEhUqmUxWJlZGRgq7UIof7+/uLiYrlcHhwc/L/5d+Tt7f3EE09YXlyr1dJotNWrV0dERDg5OYWFhdHpdCaTuXLlylWrVt3vonr4dDpdRUXF2bNnsad8Pn/Dhg3YmXB7e/tJkyY5OTm1t7er1WqlUjlr1qzbJo8DdnZ28fHxMTEx+fn5x44do9Pp6enpHA4nKirq6aefjo2NnTVrFoFAwE9DiM1mJyQkHDlyBCHU399fXV2NHwEAAA8VFNUAAACG5OLiMujC0djSarUFBQVYjaTVarFVKayPlAWdTg8ICJBKpVFRUa+//joWzMjIOHbs2LFjxzw9Pd3c3KzHj4LBYNBqtT09PRqNZmz7PE1EJBKJRqNRKBSdTmc0GrVaLX7EfWZra7tw4UK9Xn/9+vWnn35arVYbjca4uDjsZG9fX9/Ro0etxzMYjOFfYm9nZ7dkyRLLKxCJRBaL5ebmZmdnx+PxFi5caDKZqqurt27deu9Xao0hBoOxZMmS/v7+jz/+WCwWf/jhh5YuayQSKSwsbMeOHX/729/EYvEnn3wyJn3Lx5xQKPzss8+am5stEezjgBkzZnC53EEraoSQo6PjW2+9FRER8c4772Bb5QEAYFyBohoAAMCQrl+/fuzYMXx0rGGX1j755JMIIS6XO2PGjKCgINxbZ1tb28jISLFYTCAQLE2Go6OjExMT+Xw+k8m0HjwKjY2NR48ezcjI6O/v5/F4mzdvfmR2lZvN5t7eXqVSOaK7u319fd97773i4uKbN2/a2NhUV1d7eHjgB91Ptra2YWFhrq6uS5YsiYiI0Ol0Go3G+jc6KCjIaviIOTk5rVq1Ch9FCCEkEomefPLJzs5Ob29vfO6holAofn5+W7ZsCQkJ4XK51lugCQQCj8fbsGGDh4cHLjWuMBgM61vBh4lKpU6aNEmv1//9739nsVhLly7FjwAAgIcKimoAAABD6u7uxq0Y3w9UKjU2NhZbZqTRaFwu19LEyBqZTMYd63V3dx9+oWgymXQ6nU6ny8jISE5OXrJkybx58yzZlpaWpKQk7GYjHo/n6+v7KBXVUqm0oqLC3t6eyWQO8/guh8NJTEyMjIzs7OzEPmjAj3gg+Hw+n89HCFn3nX4A7O3t7e3t8dG7MRqN+fn5n376KT4xPA4ODgsWLFi+fDk+cTsejzdUVcnlcodK3ZVery8rK7t+/fqKFSvwubshk8lMJvO+/gb19PSkpqaaTCZfX98NGzbg0wAA8FBBUQ0AAGBI0dHRK1as+Oyzz/CJMYVtvr3rJbf3SCqVpqSkZGRkSCQSW1tbR0dH66yPj88TTzyhUCgaGhoWLVo06spkHCIQCEql8sSJE8ePH1+8ePFQy7MDkUgkNpv94PuTTVwmk6mlpQW3L334HB0dRSLRXYv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"
    }
   },
   "cell_type": "markdown",
   "id": "8e5a3b5e",
   "metadata": {},
   "source": [
    "![Griffiths-Pr-1.4.png](attachment:Griffiths-Pr-1.4.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a6132246",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy as sym\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from math import sqrt\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "id": "8815c72f",
   "metadata": {},
   "outputs": [],
   "source": [
    "A, a, b = sym.symbols(\"A a b\", real=True, positive=True)\n",
    "l = sym.symbols(\"\\lambda\", nonzero=True, positive=True)\n",
    "x, w,t = sym.symbols(\"x \\omega t\", real=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e62f600",
   "metadata": {},
   "source": [
    "### (a) Normalise $ \\Psi $, that is find A in terms of a and b ###"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0af29d98",
   "metadata": {},
   "source": [
    "First we set up the problem by defining variables for each piecewise term in the function.  I define variables e1 and e2 as sub expressions for each piecewise term."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "aa49785b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{A x}{a}$"
      ],
      "text/plain": [
       "A*x/a"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e1 = A*x/a; e1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cb3a8913",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{A \\left(b - x\\right)}{- a + b}$"
      ],
      "text/plain": [
       "A*(b - x)/(-a + b)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e2 = A * (b-x)/(b-a); e2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "674e4c1d",
   "metadata": {},
   "source": [
    "Find the integral $ s_1 = \\int_0^a e_1^2 dx $"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "70241232",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{A^{2} x^{3}}{3 a^{2}}$"
      ],
      "text/plain": [
       "A**2*x**3/(3*a**2)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s1 = sym.integrate(e1*e1, (x)); s1"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d163152",
   "metadata": {},
   "source": [
    "Find the integral $ s_2 = \\int_a^b e_2^2 dx $"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "11254521",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{A^{2} b^{2} x}{a^{2} - 2 a b + b^{2}} - \\frac{A^{2} b x^{2}}{a^{2} - 2 a b + b^{2}} + \\frac{A^{2} x^{3}}{3 a^{2} - 6 a b + 3 b^{2}}$"
      ],
      "text/plain": [
       "A**2*b**2*x/(a**2 - 2*a*b + b**2) - A**2*b*x**2/(a**2 - 2*a*b + b**2) + A**2*x**3/(3*a**2 - 6*a*b + 3*b**2)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s2 = sym.integrate(e2*e2, (x)); s2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6307d2e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{A^{2} x \\left(3 b \\left(b - x\\right) + x^{2}\\right)}{3 \\left(a^{2} - 2 a b + b^{2}\\right)}$"
      ],
      "text/plain": [
       "A**2*x*(3*b*(b - x) + x**2)/(3*(a**2 - 2*a*b + b**2))"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# simplify the result\n",
    "s2 = sym.simplify(s2)\n",
    "s2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6869015e",
   "metadata": {},
   "source": [
    "Now we want to try and computer the normalising constant A by substituting into the respective integrals the value of x at each integration boundary.  We call these s1ab and s2ab respectively for each piecewise term"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ab7281af",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{A^{2} a}{3}$"
      ],
      "text/plain": [
       "A**2*a/3"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s1ab = s1.subs(x, a)\n",
    "s1ab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "550b5970",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{A^{2} \\left(- a + b\\right)}{3}$"
      ],
      "text/plain": [
       "A**2*(-a + b)/3"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sym.simplify(s2.subs(x, b) - s2.subs(x,a))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "49c02607",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{A^{2} \\left(- a + b\\right)}{3}$"
      ],
      "text/plain": [
       "A**2*(-a + b)/3"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sym.simplify(s2.subs(x, b) -  s2.subs(x,a))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "0e5d9e3d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{A^{2} x \\left(3 b \\left(b - x\\right) + x^{2}\\right)}{3 \\left(a^{2} - 2 a b + b^{2}\\right)}$"
      ],
      "text/plain": [
       "A**2*x*(3*b*(b - x) + x**2)/(3*(a**2 - 2*a*b + b**2))"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s2 = sym.simplify(s2)\n",
    "s2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "be9444db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{A^{2} \\left(- a + b\\right)}{3}$"
      ],
      "text/plain": [
       "A**2*(-a + b)/3"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s2ab = sym.simplify(s2.subs(x, b) - s2.subs(x,a))\n",
    "\n",
    "s2ab"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93d488fa",
   "metadata": {},
   "source": [
    "Now combine (sum) the two terms to get a single term we can solve for the normalising constant A"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "06a010bc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{A^{2} b}{3}$"
      ],
      "text/plain": [
       "A**2*b/3"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sab = sym.cancel(s1ab + s2ab)\n",
    "sab"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74d5dbc4",
   "metadata": {},
   "source": [
    "Now we use Sympy \"solveset\" to solve for the normalising constant A ( or me exactly for $A^2$.  Because solveset solves assuming the right hand side is zero, and in our case the right hand side should be one, we have to solve for A using the following formula $ sab-1 = 0 $ ."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "ee0390ad",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left\\{\\frac{3}{b}\\right\\}$"
      ],
      "text/plain": [
       "{3/b}"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A2val = sym.solveset(sab-1, A**2)\n",
    "A2val"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "907467e2",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "A2val = A2val.args[0]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "1abe217c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{3}{b}$"
      ],
      "text/plain": [
       "3/b"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A2val"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e629abd",
   "metadata": {},
   "source": [
    "Therefore $ A =  \\sqrt{ \\frac{3}{b}} $ is the normalising constant."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7db202a6",
   "metadata": {},
   "source": [
    "Now we just do a sanity check to make sure that the area under the integral curve is 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "1ee0ba0d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{a}{b} + \\frac{- a + b}{b}$"
      ],
      "text/plain": [
       "a/b + (-a + b)/b"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss = s1ab.subs(A**2, A2val) +s2ab.subs(A**2,A2val); ss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "0d0753cb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 1$"
      ],
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Simplify the previous expression and make sure the total area under the curve sums to unity.\n",
    "sym.cancel(ss)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd72f250",
   "metadata": {},
   "source": [
    "### (b) plot the graph ###"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "944e7b78",
   "metadata": {},
   "source": [
    "Convert the piecewise functions into python functions that we can plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "a4c87e25",
   "metadata": {},
   "outputs": [],
   "source": [
    "Af = sym.lambdify([a,b], sym.sqrt(A2val))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "386cf1a1",
   "metadata": {},
   "outputs": [],
   "source": [
    "def psi(x, a=1, b=2):\n",
    "    #print (x,a,b)\n",
    "    Anorm = Af(a, b)\n",
    "    if 0 <= x <= a:\n",
    "        return Anorm * (x)/(a)\n",
    "    elif a <= x <= b:\n",
    "        return Anorm*(b-x)/(b-a)\n",
    "    else:\n",
    "        return 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "ea5e6afc",
   "metadata": {},
   "outputs": [],
   "source": [
    "af1 = sym.lambdify([a,b],e1.subs([(A, sym.sqrt(A2val)), (x, a)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "db4f0568",
   "metadata": {},
   "outputs": [],
   "source": [
    "af2 = sym.lambdify([a,b], (e1*e1).subs([(A**2, A2val), (x, a)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "9148a9a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "av, bv = (.5,2)\n",
    "xv = np.linspace(-1,4,100)\n",
    "y = [psi(x1,av,bv) for x1 in xv]\n",
    "y2  = [psi(x1, av, bv)**2 for x1 in xv]\n",
    "fig, axes = plt.subplots(1,2 , figsize=(16,5))\n",
    "ax = axes[0]\n",
    "ax.set_xlim(-1,2)\n",
    "ax.set_ylim(0,1.5)\n",
    "\n",
    "ax = axes[1]\n",
    "ax.set_xlim(-1,2)\n",
    "ax.set_ylim(0,1.6)\n",
    "\n",
    "\n",
    "apex1 =  af1(av, bv)\n",
    "apex2 =  af2(av, bv)\n",
    "fig.suptitle(\"Comparison of $ \\Psi $ and $ \\Psi^2 $\", fontsize=25)\n",
    "plt.sca(axes[0])\n",
    "plt.plot(xv,y, lw=3)\n",
    "plt.plot((-1, av), (apex1, apex1), 'r--', lw=3)\n",
    "#plt.title('$ \\Psi(x) $', fontsize=20)\n",
    "plt.yticks([0, .2, .4, .6, .8, apex1, 1],['','.2','','','', '$ \\sqrt{A}$', \"1\"], fontsize = 'x-large')\n",
    "plt.xticks([-1, 0, 0.5, 2, 3, 4], ['','0', 'a', 'b', '', ''], fontsize='xx-large')\n",
    "plt.ylabel('$\\Psi$', fontsize=25)\n",
    "plt.xlabel('$x$', fontsize=25)\n",
    "plt.grid()\n",
    "\n",
    "plt.sca(axes[1])\n",
    "plt.plot(xv,y2, lw=3)\n",
    "plt.plot((-1, av), (apex2, apex2), 'r--', lw=3)\n",
    "axes[1].annotate('A', xy=(av, apex2), xytext=(-.75, .9),\n",
    "            arrowprops=dict(facecolor='black', width=.05, shrink=0.05))\n",
    "#plt.title('$ \\Psi(x)^2 $', fontsize=20)\n",
    "#plt.yticks([0, .2, .4, .6, .8, 1, apex],['','.2','','','','', 'A'], fontsize = 'x-large')\n",
    "#plt.xticks([-1, 0, 0.5, 2, 3, 4], ['','0', 'a', 'b', '', ''], fontsize='xx-large')\n",
    "plt.xticks([-1, 0, 0.5, 2, 3, 4], ['','0', 'a', 'b', '', ''], fontsize='xx-large')\n",
    "\n",
    "plt.ylabel('$\\Psi^2$', fontsize=25)\n",
    "plt.xlabel('$x$', fontsize=25)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2dee21f",
   "metadata": {},
   "source": [
    "(c) The particle is most likely to be found at point a at x = a because that is where the highest point of the graph is"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9ed62bf",
   "metadata": {},
   "source": [
    "### (d) What is the probability of finding the particle to the left of a? ###"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55009c8f",
   "metadata": {},
   "source": [
    "To work this out we just use the first piecewise term (e1) and try to find the area under the curve up to x = a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "f3c4a608",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{3}{b}$"
      ],
      "text/plain": [
       "3/b"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A2val "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "06fab680",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{\\sqrt{3}}{\\sqrt{b}}$"
      ],
      "text/plain": [
       "sqrt(3)/sqrt(b)"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Asym = sym.sqrt(A2val)\n",
    "Asym  # The normalising constant "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "9a9bc33b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{a}{b}$"
      ],
      "text/plain": [
       "a/b"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sym.integrate((e1*e1).subs(A, Asym), (x, 0, a))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "04f8fd37",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{a}{b}$"
      ],
      "text/plain": [
       "a/b"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sym.simplify(_) # This tells us the probability of finding the particle to the left of a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "aed45195",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{x^{3}}{a^{2} b}$"
      ],
      "text/plain": [
       "x**3/(a**2*b)"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sym.integrate((e1*e1).subs(A, Asym), x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "565544d3",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{- a + b}{b}$"
      ],
      "text/plain": [
       "(-a + b)/b"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The integral of the first time is more obvious but we try to get the computer to work the second part for a ≤ x ≤ b\n",
    "s = sym.integrate((e2*e2).subs(A, Asym), (x,a, b))\n",
    "sym.simplify(s)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d40cae9",
   "metadata": {},
   "source": [
    "The area under the curve in each case we can write as:\n",
    "\n",
    "$$  \\int \\Psi^2 (x,0) \\, dx = \\begin{cases} \\displaystyle\n",
    "    \\sqrt{ \\frac{3}{b} } \\frac{1}{a} \\int_0^a x^2 dx =  \\frac{a}{b} , \\; \\mathrm{ if } \\; 0 \\leq x \\leq a \\\\\n",
    "\\\\\n",
    "   \\sqrt{\\frac{3}{b} }\\int_a^b \\frac{(b-x)^2}{(b-a)^2}\\, dx =  \\frac{b-a}{b} \\; \\mbox{if} \\; a \\leq x \\leq b\n",
    "\\end{cases} \n",
    "$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aeafa386",
   "metadata": {},
   "source": [
    "Let's do a quick sanity check that the above integral total is equal to unity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "b8285798",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{x^{3}}{a^{2} b}$"
      ],
      "text/plain": [
       "x**3/(a**2*b)"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s10 = sym.integrate((e1*e1).subs(A, Asym), x); s10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "f6a39fb7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{3 b x}{a^{2} - 2 a b + b^{2}} + \\frac{x^{3}}{a^{2} b - 2 a b^{2} + b^{3}} - \\frac{3 x^{2}}{a^{2} - 2 a b + b^{2}}$"
      ],
      "text/plain": [
       "3*b*x/(a**2 - 2*a*b + b**2) + x**3/(a**2*b - 2*a*b**2 + b**3) - 3*x**2/(a**2 - 2*a*b + b**2)"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s11 = sym.integrate((e2*e2).subs(A, Asym), x); s11"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "6705ddf8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{a}{b}$"
      ],
      "text/plain": [
       "a/b"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s10ab = ((s10).subs(x, a))\n",
    "s10ab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "3442bb34",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{- a + b}{b}$"
      ],
      "text/plain": [
       "(-a + b)/b"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s11ab = sym.simplify(s11.subs(x, b) - s11.subs(x,a))\n",
    "s11ab"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "710f1e0d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 1$"
      ],
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sym.simplify(s10ab + s11ab)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b433c066",
   "metadata": {},
   "source": [
    "If x = a  then the $ Pr(x \\leq a) = \\frac{a}{b} $"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52f2e318",
   "metadata": {},
   "source": [
    "### (e) What is the expectation value of x ? ###"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ebce8c8",
   "metadata": {},
   "source": [
    "The following is the expression for the probability density $ \\rho (x) $"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "722aa1d5",
   "metadata": {},
   "source": [
    "The expectation value $ <x> = \\int x \\rho (x) dx $ but we have to do it in two pieces.  That is $ <x> = \\int_0^a x \\rho(x) dx + \\int_a^b x \\rho(x) dx $."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "1e02bf36",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{3 a^{2}}{4 b}$"
      ],
      "text/plain": [
       "3*a**2/(4*b)"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "first_part = sym.integrate(x*e1*e1,(x,0,a)).subs(A, Asym)\n",
    "first_part"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "1c5aec12",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - \\frac{3 a^{2}}{4 b} + \\frac{a}{2} + \\frac{b}{4}$"
      ],
      "text/plain": [
       "-3*a**2/(4*b) + a/2 + b/4"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "second_part = sym.simplify( sym.integrate(x*e2*e2, (x,a,b)).subs(A, Asym))\n",
    "(second_part)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "334bdd54",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{a}{2} + \\frac{b}{4}$"
      ],
      "text/plain": [
       "a/2 + b/4"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "first_part + second_part"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27f39549",
   "metadata": {},
   "source": [
    "Therefore $ < x > = \\frac{a}{2} + \\frac{b}{4} $"
   ]
  },
  {
   "attachments": {
    "Griffiths-Pr-1.5.png": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "67a6b094",
   "metadata": {},
   "source": [
    "![Griffiths-Pr-1.5.png](attachment:Griffiths-Pr-1.5.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 213,
   "id": "7c558051",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle A e^{- \\lambda \\left|{x}\\right|} e^{i \\omega t}$"
      ],
      "text/plain": [
       "A*exp(-\\lambda*Abs(x))*exp(I*\\omega*t)"
      ]
     },
     "execution_count": 213,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e1 = A*sym.exp(-l*sym.Abs(x))*sym.exp(sym.I*w*t); e1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "id": "384427ad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle A e^{- \\lambda x} e^{i \\omega t}$"
      ],
      "text/plain": [
       "A*exp(-\\lambda*x)*exp(I*\\omega*t)"
      ]
     },
     "execution_count": 144,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e_positive = A*sym.exp(-l*x)*sym.exp(sym.I*w*t)\n",
    "e_positive"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "id": "65d448b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle A e^{\\lambda x} e^{i \\omega t}$"
      ],
      "text/plain": [
       "A*exp(\\lambda*x)*exp(I*\\omega*t)"
      ]
     },
     "execution_count": 146,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e_negative = A*sym.exp(l*x)*sym.exp(sym.I*w*t)\n",
    "e_negative"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 198,
   "id": "9906412d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\left\\{\\sqrt{\\lambda}\\right\\}$"
      ],
      "text/plain": [
       "{sqrt(\\lambda)}"
      ]
     },
     "execution_count": 198,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Aval = sym.solveset(ipos + ineg - 1, A, sym.Interval(0, sym.oo))\n",
    "Aval"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9fdc1da",
   "metadata": {},
   "source": [
    "Therefore $ A = \\sqrt{ \\lambda } $"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06cbb4d3",
   "metadata": {},
   "source": [
    "### (b) Determine the expectation values of $ <x> $ and $ <x^2> $ ###"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 203,
   "id": "7e117bd4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\sqrt{\\lambda} e^{- \\lambda x} e^{i \\omega t}$"
      ],
      "text/plain": [
       "sqrt(\\lambda)*exp(-\\lambda*x)*exp(I*\\omega*t)"
      ]
     },
     "execution_count": 203,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "epos = e_positive.subs(A, Aval.args[0]); epos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 204,
   "id": "09dff4c1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\sqrt{\\lambda} e^{\\lambda x} e^{i \\omega t}$"
      ],
      "text/plain": [
       "sqrt(\\lambda)*exp(\\lambda*x)*exp(I*\\omega*t)"
      ]
     },
     "execution_count": 204,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eneg = e_negative.subs([(A, Aval.args[0])]); eneg\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 205,
   "id": "e47fcc12",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - \\frac{1}{4 \\lambda}$"
      ],
      "text/plain": [
       "-1/(4*\\lambda)"
      ]
     },
     "execution_count": 205,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ineg = sym.integrate((x)*eneg*sym.conjugate(eneg),(x, -sym.oo, 0)); ineg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 206,
   "id": "bab1808e",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{1}{4 \\lambda}$"
      ],
      "text/plain": [
       "1/(4*\\lambda)"
      ]
     },
     "execution_count": 206,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ipos = sym.integrate(x*epos*sym.conjugate(epos),(x, 0, sym.oo)); ipos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 207,
   "id": "481d23ff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 0$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 207,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The expected value <x> = ineg + ipos\n",
    "ineg + ipos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 208,
   "id": "de46a178",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{1}{4 \\lambda^{2}}$"
      ],
      "text/plain": [
       "1/(4*\\lambda**2)"
      ]
     },
     "execution_count": 208,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ineg2 = sym.integrate((x**2)*eneg*sym.conjugate(eneg),(x, -sym.oo, 0)); ineg2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 209,
   "id": "0c6999ad",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{1}{4 \\lambda^{2}}$"
      ],
      "text/plain": [
       "1/(4*\\lambda**2)"
      ]
     },
     "execution_count": 209,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ipos2 = sym.integrate(x**2*epos*sym.conjugate(epos),(x, 0, sym.oo)); ipos2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 212,
   "id": "7549495c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{1}{2 \\lambda^{2}}$"
      ],
      "text/plain": [
       "1/(2*\\lambda**2)"
      ]
     },
     "execution_count": 212,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Now calculate the value for <x²>\n",
    "ineg2 + ipos2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 214,
   "id": "eb4b3202",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle A e^{- \\lambda \\left|{x}\\right|}$"
      ],
      "text/plain": [
       "A*exp(-\\lambda*Abs(x))"
      ]
     },
     "execution_count": 214,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e1 = A*sym.exp(-l*sym.Abs(x)); e1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 219,
   "id": "c22d23db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\sqrt{\\lambda}$"
      ],
      "text/plain": [
       "sqrt(\\lambda)"
      ]
     },
     "execution_count": 219,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Aval.args[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 221,
   "id": "127a0f9f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\lambda e^{- 2 \\lambda \\left|{x}\\right|}$"
      ],
      "text/plain": [
       "\\lambda*exp(-2*\\lambda*Abs(x))"
      ]
     },
     "execution_count": 221,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e2 = (e1*e1).subs(A, Aval.args[0]); e2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 227,
   "id": "656deebe",
   "metadata": {},
   "outputs": [],
   "source": [
    "e2lambda = sym.lambdify([x, l],e2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 228,
   "id": "db8865fb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 228,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e2lambda(0,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "id": "7a5032b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zMiRJlXXN2nCA9XwBAKnJ/DaLo5m9W9Jc59ydsfYHJc10zt2dcM6/K1r7D83sQkm/kTTRORdp9153SbpLkkpLS6fNmzevp76MM1JTU6O8vDyvy0AC+sSf6Bf/oU+61xNbm/TE1mZJ0uWD03T7xMyTvuZU++Tnqxq09EB00qxbxmZo7oj0sysWneJ7xX/oE3+iX/wnGfpkzpw5y51z0zs6ltbTxZyCcklDEtqDY/sSfVTSXElyzr1uZlmSiiUdSjzJOXe/pPslafr06W727NndVHLXWLBggfxeY29Dn/gT/eI/9En3+vmm1yVFhzq/69JJmn3eoJO+5lT7ZF/2bi3925uSpMNWpNmzLzibUnESfK/4D33iT/SL/yR7n/hxqPMySaPNbISZZSg6edX8dufslnSlJJnZOElZkg73aJUAAPSA+qawVu5uXb/3wpFdc39vi8QJrpbsOKpQONLJ2QAAJCffBV/nXEjS3ZKelbRB0dmb15nZN8zshthpn5X0MTNbLelRSR9xfhuzDQBAF1i+65iaw9EfcaNL8tQ//+TDnE/HsH45GliYJUmqaQzpzfKqLn1/AAD8wI9DneWce1rRSasS930lYXu9pIt7ui4AAHraa9uOxLcv6qLZnBOZmS48p5/+uqI89nkVmjq0T5d/DgAAXvLdFV8AANAqcX3dC7to/d72EtcFXryd9XwBAKmH4AsAgE8db2iODz02k2aN7Nstn5O4LvCynUfVGAp3y+cAAOAVgi8AAD61bOdRhSPR+3vHDyxQUU5Gt3xOWVG2hvXLkSQ1NEe0cndlt3wOAABeIfgCAOBTr2zp3vt7EyW+/6KtRzo5EwCA5EPwBQDApxKD76Wj+3frZyW+/8ItBF8AQGoh+AIA4EP7Kuu19VCNJCkjLaAZI7rn/t4WF53TTwGLbq/ZW6nKuqZu/TwAAHoSwRcAAB96NeGq68wRfZWVHuzWzyvKydDkwUWSJOekRVuZ3RkAkDoIvgAA+NDCLYfj25eO7p5ljNq7LOFzXkn4fAAAkh3BFwAAnwlHnF7d2nP398Y/Z0zr57yy5Yiccz3yuQAAdDeCLwAAPrNuX5Uq65olScV5mTp3QH6PfO6UIUXKy0yTJJVX1mv7kdoe+VwAALobwRcAAJ9ZuLl1mPFlo4tlZj3yuenBgC5MWNbolc0MdwYApAaCLwAAPpO4nNClY3rm/t4Wbe/zZVkjAEBqIPgCAOAjNY0hrdh1LN6+ZFTP3N/b4rKE+3xf316hplCkRz8fAIDuQPAFAMBHFm+rUCgSnVRq/MAC9c/P7NHPH9YvV0P75kiS6prCWrH72EleAQCA/xF8AQDwkTbLGPXwMOf45yYMd17Ifb4AgBRA8AUAwCecc1qwKXFiq54d5twicfmkxHoAAEhWBF8AAHxi2+Fa7T5aJ0nKzQjqguF9PanjktHFSg9GZ5Jev79aB6oaPKkDAICuQvAFAMAnXtp4KL59yehiZaR582M6LzNNM0a0hu6XNh3q5GwAAPyP4AsAgE8kBswrzi3xsBJpztjWz08M5AAAJCOCLwAAPnC8oVlLdxyNt2eP9Tj4JgTvV7ceUWMo7GE1AACcHYIvAAA+8OqWI/FljCYMKlBpQZan9YwsztWwfq3LGiWGcgAAkg3BFwAAH/hnwnDiOR5f7ZUkM2tTxz8Z7gwASGIEXwAAPBaJOC1IWC93jsf397ZIvM+YZY0AAMmM4AsAgMfW7avW4eONkqQ+OemaMqTI24JiZozoq+z0oCRpx5Fa7ThS63FFAACcGYIvAAAeSxxGfPmY/goGzMNqWmWlB3XxqOJ4m+HOAIBkRfAFAMBjicsY+WWYc4vE4c4sawQASFYEXwAAPHSoukGr91ZKkgIWveLrJ3POba1nyY4KVTc0e1gNAABnhuALAICHXthwSC66ipFmjOiropwMbwtqZ2BhtiaVFUqSmsOOSa4AAEmJ4AsAgIeeW38gvn31+AEeVnJiV48vjW8/t+5AJ2cCAOBPBF8AADxS0xjSa1sr4u1rEgKmn1wzobWuBZsOqzEU9rAaAABOH8EXAACPvLzpsJrCEUnSuIEFGtI3x+OKOja2NF9DY7XVNIa0ePtRjysCAOD0EHwBAPBI22HO/rzaK0lmxnBnAEBSI/gCAOCB5nCkzbq4fh3m3CKxvhc2HFQk4jysBgCA00PwBQDAA0u2H9XxhpAkqawoWxMGFXhcUeemDeujvrnRGacPVjdqTXmVxxUBAHDqCL4AAHig/TBnM/OwmpNLCwZ0xbkl8TbDnQEAyYTgCwBAD3PO6fn1B+Ntvw9zbpFYZ2L9AAD4HcEXAIAetmZvlfZXNUiSCrPTdcGIvh5XdGouHd1fWenRXx22HKrRtsM1HlcEAMCpIfgCANDDnn5zf3z7ynElSg8mx4/j7IygLh/TP95+es3+Ts4GAMA/kuMnLQAAKcI5p6cSgu/bJw30sJrTd11CvYlfBwAAfkbwBQCgB60tr9beY/WSpPzMNF0yutjjik7PleNKlZEW/fVh44Hj2s5wZwBAEiD4AgDQgxKvkl49vlSZaUEPqzl9eZlpmp0w3PmZtczuDADwP18GXzOba2abzGyrmX3xBOe818zWm9k6M3ukp2sEAOB0Oefa3N97XZINc27RZrgz9/kCAJJAmtcFtGdmQUn3Sbpa0l5Jy8xsvnNufcI5oyV9SdLFzrljZlbS8bsBAOAf6/ZVa/fROknRYc6XjkmuYc4trhxXooy0gJpCEa3fX62dR2o1vDjX67IAADghP17xnSFpq3Nuu3OuSdI8STe2O+djku5zzh2TJOfcoR6uEQCA05Y4zPmqJBzm3CI/K12XjW4d7swkVwAAv/Nj8C2TtCehvTe2L9EYSWPMbJGZLTazuT1WHQAAZyBVhjm3ePvkAfHtpwm+AACfM+ec1zW0YWbvljTXOXdnrP1BSTOdc3cnnPOkpGZJ75U0WNJCSZOcc5Xt3usuSXdJUmlp6bR58+b1yNdwpmpqapSXl+d1GUhAn/gT/eI/9MnJ7aoO66uvNUiSsoLS/16Ro4ygddvndXef1DU7feqfdQrFfo343mXZKsnx49/T/YXvFf+hT/yJfvGfZOiTOXPmLHfOTe/omO/u8ZVULmlIQntwbF+ivZKWOOeaJe0ws82SRktalniSc+5+SfdL0vTp093s2bO7q+YusWDBAvm9xt6GPvEn+sV/6JOT+84zGyVtkyTNnTRI11w5tVs/ryf65K/7lumFDdG7jQ5nD9V7Z4/q1s9LBXyv+A994k/0i/8ke5/48U+zyySNNrMRZpYh6RZJ89ud84Sk2ZJkZsWKDn3e3oM1AgBwyiIRp/mrWv+G+47zBnlYTddJ/DqeWFkuv40iAwCghe+Cr3MuJOluSc9K2iDpz865dWb2DTO7IXbas5IqzGy9pJck/YdzrsKbigEA6Nwbu45pX1V0mHOfnHRdlrAObjK7enypstOjE3RtOVSjDfuPe1wRAAAd8+NQZznnnpb0dLt9X0nYdpL+PfYAAMDXnki42nvdpIFKD/ru785nJCcjTddMKNXfV+2TJP19VbnGDyrwuCoAAN4qNX7yAgDgU02hSJtZj2+a2n6hguR205TWr2f+6n2KRBjuDADwH4IvAADdaOHmw6qsa5YklRVla9rQPh5X1LUuGV2svrkZkqT9VQ1auvOoxxUBAPBWBF8AALpR4jDnG6YMUiDQfUsYeSE9GNDbE9Yk/vuq9gsxAADgPYIvAADdpKYxpBc2HIy3b5ySGrM5t5f4dT395gE1hsIeVgMAwFsRfAEA6CbPrTughuaIJOncAfk6d0BqTvw0bVgfDe6TLUmqqm/Wy5sOe1wRAABtEXwBAOgmf1vZdphzqjIz3ZCwpm/i1w0AgB8QfAEA6Ab7Kuv16tYjkiQz6cYpqTWbc3s3J8xW/cKGgzpW2+RhNQAAtEXwBQCgG/x1xV652Mo+F59TrLKibG8L6majS/N13pAiSVJz2DHJFQDAVwi+AAB0Meec/rJ8b7z9numDPaym57xnWuvX+ZcVezs5EwCAnkXwBQCgi72x65h2VtRJkvIz03TN+AEeV9Qz3jF5kDLSor9arC2v1ob91R5XBABAFMEXAIAu9pc3Wq92Xn/eIGVnBD2spucU5qTrbRNaQ37iVW8AALxE8AUAoAvVNYX05Jp98fa7p/WOYc4tEr/eJ1aWqzkc8bAaAACi0jo7aGaXtdvlJNVJOippt3OOFeoBAEjwzJsHVNsU/fE4sn+uzh9a5G1BPeySUcUaUJClA9UNqqht0j83HmpzFRgAAC+c7IrvAkkvJTwWSFoqaaukSjN7wcxuNbPeMYYLAICTeGz5nvj2u6cNlpl5WE3PCwZM7zy/dWmjx95guDMAwHunMtTZTvDIlTRH0h8lrTSz8d1VJAAAyWDHkVot3n5UkhQw6Z1Te9cw5xaJw51f2nRIB6sbPKwGAICTDHWWdHsH+3Ik9ZM0RdJVkgokTZS02MyudM4t69IKAQBIEo8u3R3fvuLcEg0ozPKwGu+M7J+nmSP6asmOowpHnP60bI8+deVor8sCAPRinQZf59zvOjtuZtmS/lXS1yXlSXrKzCY65w51XYkAAPhfYyjcZhbj988c6mE13nv/zKFasiN69Xve0t365JxRCgZ617BvAIB/nNWszs65eufcDyVdJqlS0SvB3+2CugAASCrPrjuoo7VNkqRBhVm6fEyJxxV5a+7EAeqTky5J2lfVoJc38zdxAIB3umQ5I+fcCkl3K3rv7/vMLK8r3hcAgGTxyJJd8e33XTC011/dzEwLtrnX95Eluzs5GwCA7tWV6/g+KumYpExJY7rwfQEA8LVth2vik1oFA6b3XTDE44r84dYZrcO9/7nxkPZV1ntYDQCgN+s0+JpZ+FQfkkKSimIvXZZwLNTdXwQAAF56dAmTWnVkZP88XTiynyQp4qQ/LdtzklcAANA9TnbF90RLGXX26Oh1AACkpIbmsB5fwaRWJ5L43+NPy/YoFI54WA0AoLc62XJGXz/N9/uMpHxJD0niZh4AQMp7cs1+HatrliSVFWXrstH9Pa7IX942YYD65WaoorZJB6ob9MKGg5o7caDXZQEAepmTLWd0ysHXzIZK+q9Y87+dczvOpjAAAPzOOaeHFrX+uLtt1rBeP6lVexlpAd0yY4jue2mbJOmhRTsJvgCAHtclk1uZmUn6Zez91hN6AQC9wfJdx7RuX7UkKTMtoFuY1KpDiX8QWLLjqDbsr/a4IgBAb3PWwdfMSiT9n6S5kpxar/oCAJDSfvvazvj2zVPL1Cc3w7tifGxgYbbmThwQb/8u4b8bAAA94bSDr5llmNlAM5trZj+TtEnStbHD9znnnujKAgEA8KP9VfV6Zu2BePvDFw33rpgkcHvCf5+/rSzXsdom74oBAPQ6p72ckaR6SXslPSXpE5IKFZ25+QfOuU91e8UAAPjAw4t3KxxxkqSZI/pq3MACjyvyt2nD+mjCoOh/o8ZQRH96g6WNAAA9pyuWM3pF0jXOuc93Y50AAPhGQ3NYjyxtXbzg9ouHe1dMkjAzfSThqu8fXt/F0kYAgB5zsuWMfteu7RS94ntM0SHOrzKRFQCgt5m/ep+OxobqlhVl66pxpR5XlBzecd4gffuZjTpa26Tyyno9t/6grpvEDM8AgO53suWMbu+pQgAASAaRiNOvF26Ptz944TClBbtkkYSUl5Ue1PtnDNXPXtoqSbp/4XZdO3GAootDAADQffhJDQDAaViw+ZC2HKqRJOVmBHXrjKEeV5RcPnTRMGXE/lCwak+llu085nFFAIDegOALAMBp+NXLrVd7b50xVIXZ6R5Wk3xK8rP0zvPL4u37F27zsBoAQG9B8AUA4BSt3lOpJTuOSpLSAqY7LhnhcUXJ6c5LR8a3X9hwSFsPHfewGgBAb0DwBQDgFN2fcG/vO84bpEFF2R5Wk7xGleS1mRDs1wuZJxMA0L0IvgAAnILdFXV6Zu3+ePtjCVctcfr+5fLW/35/W1muQ9UNHlYDAEh1BF8AAE7Br1/ZroiLbl86uljjBxV4W1CSmz6sj6YOLZIkNYUjenDRTk/rAQCkNoIvAAAncbC6QX96Y0+8fddlXO09W2amf7nsnHj7D6/vVGVdk4cVAQBSGcEXAICTuH/hdjWFIpKk84YU6ZJRxR5XlBquGV+q0SV5kqTaprAe4qovAKCbEHwBAOjEkZpGPbxkV7x9z5xRMjMPK0odgYDp7itGxdsPLdqh4w3NHlYEAEhVBF8AADrxwCs71NAcvdo7fmCBrhxX4nFFqeX6yYM0ojhXklTdENLvX991klcAAHD6fBl8zWyumW0ys61m9sVOznuXmTkzm96T9QEAeodjtU36w+s74+17ruBqb1cLBkz/Orv1Xt8HXtmu2saQhxUBAFKR74KvmQUl3SfpWknjJd1qZuM7OC9f0r9JWtKzFQIAeouHFu1QbVNYkjSmNE9vmzDA44pS001TyzS4T3RN5GN1zW2GlgMA0BV8F3wlzZC01Tm33TnXJGmepBs7OO+bkr4riYX/AABdrrKuqc1kS5+cM0qBAFd7u0N6MKBPJFz1vX8hV30BAF3Lj8G3TNKehPbe2L44Mztf0hDn3FM9WRgAoPf41cLtOh4LXyP75+r6yYM8rii1vXvaYA0qzJIkHalp0m9f2+ltQQCAlGLOOa9raMPM3i1prnPuzlj7g5JmOufujrUDkv4p6SPOuZ1mtkDS55xzb3TwXndJukuSSktLp82bN6+HvoozU1NTo7y8PK/LQAL6xJ/oF/9JtT6pbIzo8wvrFRvlrE+cl6mZA9O8Leo0JWOfLNjTrN+ui67lm5Mmff/yHOWmp9ZV9mTsl1RHn/gT/eI/ydAnc+bMWe6c63D+Jz/+FC+XNCShPTi2r0W+pImSFsQmGBkgab6Z3dA+/Drn7pd0vyRNnz7dzZ49uxvLPnsLFiyQ32vsbegTf6Jf/CfV+uRr89epKbxTkjRuYIH+432XJN0w52Tsk4vDEb30o5e1q6JOdSFpoxukz84e63VZXSoZ+yXV0Sf+RL/4T7L3iR+HOi+TNNrMRphZhqRbJM1vOeicq3LOFTvnhjvnhktaLOktoRcAgDNRXlmvR5bsjrc/e/WYpAu9ySo9GNBnrhoTbz/46g5V1DR6WBEAIFX4Lvg650KS7pb0rKQNkv7snFtnZt8wsxu8rQ4AkOp++uIWNYWj6/ZOGVLEur097B3nDdKY0uhQutqmsH6xYJvHFQEAUoHvgq8kOeeeds6Ncc6d45z7n9i+rzjn5ndw7myu9gIAusL2wzV6bPneePs/3jaWdXt7WDBg+verW4c3/37xLu2rrPewIgBAKvBl8AUAwAvfeWajwpHopI8Xjuyni0cVe1xR7/S2CaU6b3ChJKkpFNEPntvkcUUAgGRH8AUAQNKS7RV6bv3BePv/XTfOw2p6NzPTF69t/e//t5XlWlte5WFFAIBkR/AFAPR6kYjTt57eEG/fNGWQJsWuOMIbF57TT1eNK5UkOSf9z1Mb5LclGAEAyYPgCwDo9Z58c79W741eUcxIC+hzb0utJXSS1RevPVfB2Izar2+v0EubDnlcEQAgWRF8AQC9WkNzWN99ZmO8fcfFIzS4T46HFaHFqJI83TpjSLz9rac3KhSbcRsAgNNB8AUA9GoPLtqh8tiswX1y0vWvc87xuCIk+vRVY5SXmSZJ2nqoRg8nrLEMAMCpIvgCAHqtA1UN+tk/t8bbn75qjAqy0j2sCO0V52XqE7Nb/xjxw+c2qaKm0cOKAADJiOALAOi1vvX0BtU1hSVJ5w7I1wdmDvW4InTko5eM0LB+0eHn1Q0hfe8fLG8EADg9BF8AQK+0eHuF5q/eF29/7YYJSgvyY9GPstKD+to7JsTbf3pjj1btqfSuIABA0uEnPACg1wmFI/ra/HXx9vWTB2rWyH4eVoSTmXNuia4aVxJvf+XvaxWJsLwRAODUEHwBAL3OHxfv0sYDxyVJ2elBffnt4zyuCKfiK9dPUEZa9FeXNXur9Kc39nhcEQAgWRB8AQC9yoGqBv3guc3x9t1XjNLAwmwPK8KpGtovRx+/vHWiq+/9Y6Mq65o8rAgAkCwIvgCAXuWr89eqpjEkSRrZP1d3XjrC44pwOj5x+TkqK4r+oeJYXbO+9fQGjysCACQDgi8AoNd4bt0BPbvuYLz97ZsnKTMt6GFFOF3ZGUF99R3j4+0/v7FXi7Ye8bAiAEAyIPgCAHqFmsaQvpowodX7pg/RTCa0SkrXTBig6yYNiLe/+Nc1qmsKeVgRAMDvCL4AgF7hB89u0v6qBklScV6GvnTduR5XhLPxtRsmqDA7XZK052i9fpRw3zYAAO0RfAEAKW/J9gr97vWd8fZ/XT9eRTkZ3hWEs1aSn9VmNu4HF+3Qatb2BQCcAMEXAJDSahtD+txfVsvFlnydPba/bjhvkLdFoUu8Z9pgXTKqWJIUcdIXHl+jplDE46oAAH5E8AUApLRvP7NBe47WS5IKstL0nXdOlpl5XBW6gpnpWzdPUnZ6dIKyjQeO62cvbfW4KgCAHxF8AQAp69UtR/THxbvj7a/dMEEDCrM8rAhdbWi/HH32mjHx9n0vbdWK3cc8rAgA4EcEXwBASqpuaNbn/7I63r5mfKlunlrmYUXoLrdfPEIzRvSVJIUjTv/+p1WqbWSWZwBAK4IvACAlffP/1mtfbBbnPjnp+p+bJzHEOUUFA6Yfvfc85WemSZJ2VtTpv5/a4HFVAAA/IfgCAFLO/NX79NjyvfH2f980Sf3zMz2sCN1tcJ8cff3GCfH2o0t364X1Bz2sCADgJwRfAEBK2V1Rp//31zfj7RunDNLbJw/0sCL0lJunluntk1r7+guPr9GRmkYPKwIA+AXBFwCQMppCEd0zb6VqYvd3Du2bo/++aaLHVaGnmJn++6aJKold3a+obdJn/rRKkYjzuDIAgNcIvgCAlPHD5zZp9Z5KSVJawPTTW6cqPyvd26LQo/rkZugH7zkv3n5lyxHdxxJHANDrEXwBAClhwaZD+tXC7fH2F+aeq/OGFHlXEDxz2Zj++uScc+Lte1/YrNe2HvGwIgCA1wi+AICkV15Zr3//c+vSRbPH9tdHLxnhYUXw2meuGqOZsSWOIk761LxVOlTd4HFVAACvEHwBAEmtoTmsT/xxuY7WNkmS+udn6gfvOU+BAEsX9WZpwYD+99apKs7LkCQdqWnUp+atVCgc8bgyAIAXCL4AgKTlnNN/PbFWa/ZWSYre13vf+89XcR5LF0EqLcjST26ZqpblmxdvP6rvP7fJ26IAAJ4g+AIAktYfl+xus17vf759nGbEhrcCknTxqGJ9+sox8favXt6uJ1aWe1gRAMALBF8AQFJ6Y+dRfX3+unj7neeX6cMXDfeuIPjW3VeM0hXnlsTbn398TXz2bwBA70DwBQAknfLKen3i4RUKxdZnnVhWoG/dPElm3NeLtwoGTD+5ZYpGleRJiq73fNcf3tBBJrsCgF6D4AsASCrHG5p1x0PLdPh4oySpT066fnnbNGWlBz2uDH6Wn5WuBz40XYXZ0XWdD1Y36q4/LFdDc9jjygAAPYHgCwBIGs3hiP714RXadPC4JCk9aPr5B6ZpcJ8cjytDMhhenKufvX+qWib8Xr2nUp97bLUisZEDAIDURfAFACQF55y+8ve1emXLkfi+77xzsi48p5+HVSHZXDq6v/7z7ePj7SfX7Ne3n9ngYUUAgJ5A8AUAJIX7F27Xo0v3xNv/duVovWvaYA8rQrK6/eLhum3W0Hj716/s0IOv7vCwIgBAdyP4AgB87y/L9+rbz2yMt2+eWqZPXzXaw4qQzMxMX79hoq4ZXxrf982n1uvpN/d7WBUAoDsRfAEAvvbsugP6wuNr4u0ZI/rqO+9iBmecnWDA9L+3TtX5Q4skSc5Jn/7TKi3eXuFtYQCAbkHwBQD41mtbj+ieR1YqHJt8aNzAAv36Q9OVmcYMzjh7WelB/ebDF2hkca6k6DJHH/3tMq3cfczjygAAXY3gCwDwpVV7KnXn799QUzgiSRreL0e/v2NGfDkaoCv0yc3Q7+6Yof75mZKk2qawPvzgUq0tr/K4MgBAV/Jl8DWzuWa2ycy2mtkXOzj+72a23szWmNmLZjbMizoBAN1jbXmVPvLQUtU1RddYHVCQpT98dGY8nABdaUjfHD1y50z1zc2QJFU3hPTB3yzR5tiyWQCA5Oe74GtmQUn3SbpW0nhJt5rZ+HanrZQ03Tk3WdJfJH2vZ6sEAHSXN/dW6QMPLFFlXbMkqU9Ouv545wwN6ctaveg+o0vz9YePzlBBVpok6Vhds97/6yXafrjG48oAAF3Bd8FX0gxJW51z251zTZLmSbox8QTn3EvOubpYc7Ek1rMAgBSwek+lPvDAYlXVR0NvQVaafn/HTI0qyfe4MvQGEwYV6vcfnam8zGj4PVLTqFvuX6wtXPkFgKTnx+BbJmlPQntvbN+JfFTSM91aEQCg263aU6nbfrNE1Q0hSVJhdroe+dgsTRpc6HFl6E2mDCnSQ7dfoOz06ARqh4436n33L+aeXwBIcuac87qGNszs3ZLmOufujLU/KGmmc+7uDs69TdLdki53zjV2cPwuSXdJUmlp6bR58+Z1a+1nq6amRnl5eV6XgQT0iT/RL/5ztn2y6WhYP17RoPpo5lVuuvT5C7I0rIDZm88U3ydnZ9PRsO5d3qCG6G3mykmTPjs9S+cUnd3/k/SL/9An/kS/+E8y9MmcOXOWO+emd3QsraeLOQXlkoYktAfH9rVhZldJ+rJOEHolyTl3v6T7JWn69Olu9uzZXV5sV1qwYIH8XmNvQ5/4E/3iP2fTJ8+tO6AfvrBSTbHQ2ycnXQ/fOUvjBxV0XYG9EN8nZ2e2pJkXVOpDsVEIdSHpRyua9cCHp+jCc/qd8fvSL/5Dn/gT/eI/yd4nfhzqvEzSaDMbYWYZkm6RND/xBDObKulXkm5wzh3yoEYAQBf487I9+vgfl6spFF2yqH9+ph75GKEX/jBlSJEevWtWfLbnlqWOnlyzz+PKAACny3fB1zkXUnT48rOSNkj6s3NunZl9w8xuiJ32fUl5kh4zs1VmNv8EbwcA8CHnnH758jZ9/vE1isTuuBnWL0ePf/wijRtI6IV/TBhUqD//yyyVxJbSagpHdPcjK/XAK9s9rgwAcDr8ONRZzrmnJT3dbt9XErav6vGiAABdojkc0Vfnr9MjS3bH940fWKDf3TGDdXrhS6NK8vX4Jy7SRx5aqm2HayVJ//3UBu2rbNB/vn2cAgHzuEIAwMn47oovACB1VdU16yMPLW0TemeN7Kt5/zKL0AtfG9I3R49/4iJNH9Ynvu/BRTv0rw+vUG1jyMPKAACnguALAOgRO47U6uafL9KirRXxfTdNGaTf3j5DBVnpHlYGnJqinAz98c6ZmjthQHzfP9Yd0Lt+8Zr2HK3zsDIAwMkQfAEA3W7h5sO6+eeLtP1IbXzfZ68eo3vfN0VZ6SxZhOSRlR7UfR84X3dcPCK+b+OB47rxvkVavL2ik1cCALxE8AUAdJtIxOmnL27Rhx9aqsq6ZklSZlpAP3v/VN1z5WiZcW8kkk8wYPrKO8bre++arPRg9P/ho7VNuu2BJfrdazvlnPO4QgBAewRfAEC3qKpr1sd+/4Z++PxmteSA0oJMzbtrlq6fPMjb4oAu8N4LhujRj81ScV50uaNQxOmr89fpnkdX6nhDs8fVAQASEXwBAF1u9Z5KveNnr+rFja1Lrc8c0VdP3nOppg7t08krgeQyfXhfzb/7Ek0sa12G68k1+3XDzxZp/b5qDysDACQi+AIAukwk4vSLBdv0rl+8pt0Jk/38y2Uj9fCdM5m5GSlpUFG2/vLxi/T+mUPj+3YcqdVNP1+kPy7exdBnAPABgi8AoEscqGrQbb9Zou/+Y6NCkegv+nmZafrFB87Xl64bp7QgP3KQurLSg/rWzZP0k1umKDcjOmFbUyii/3xire747TIdqm7wuEIA6N34LQQAcFacc1q8P6S5P1mo17a1zmo7ZUiRnv7Upbp20kAPqwN61o1TyjT/nkt07oD8+L6XNh3W2368UE+/ud/DygCgdyP4AgDO2KHqBt31h+X65erG+KzNZtI9V4zSYx+/UEP75XhcIdDzzumfpyc+eXGbJY+O1TXrXx9eoV+taVBVPRNfAUBPI/gCAE6bc06PL9+rq+9dqOfXH4zvH1SYpUc/NkufvWas0hnajF4sKz2or7xjvB65c6YGFWbF97++L6yrfvSynlyzj3t/AaAH8VsJAOC07K6o0+2/XabPPra6zZWr988cqmc/c5lmjeznYXWAv1w0qljPfPoyvfP8svi+w8cbdfcjK3XHb5dpT8IkcACA7kPwBQCckobmsO59frOuuvdlLdh0OL5/SN9sff6CLH3r5knKz0r3sELAnwqz0/Wj907RL2+bpqJMi+9/adNhXXPvQt2/cJuawxEPKwSA1EfwBQB0yjmn59cf1NX3vqyfvLhFTaHoL+hm0kcuGq5//NtlGt8v6HGVgP/NnThA37okWx+cNUwWy7/1zWF96+mNuu4nr+jlzYc7fwMAwBlL87oAAIB/bTpwXN9+ZkObK7ySNHlwob5x40RNGVLkTWFAkspJN33zpom6aWqZvvy3N7XxwHFJ0pZDNfrwg0s1Z2x/ffnt4zWqJM/jSgEgtRB8AQBvsb+qXj96brMeX7FXkYT5d4py0vX5t52r910wRMGAnfgNAHRq2rA++r97LtFvXt2hn764RbVNYUnR4c8LtyzUB2cN0z1XjFK/vEyPKwWA1EDwBQDEVdU36xcLtumhRTvUGGq959BMuuWCofr828aqT26GhxUCqSM9GNDHLz9H7zy/TD98drP+vHyPnJPCEaffvrZTj72xR3dcMkJ3XjpShdncPw8AZ4PgCwBQVV2zHly0Qw8u2qHjDaE2xy4f019fvPZcjRtY4FF1QGoryc/Sd989WR+8cJi++eR6LdlxVJJU2xTWT/+5Vb97baf+5fJz9JGLhis3k1/dAOBM8K8nAPRix2qb9OCiHfrtop063tg28E4qK9SXrj1XF40q9qg6oHeZWFaoeXfN0nPrD+qHz23S5oM1kqTqhpC+/+wmPfjqDt1xyQjdNmsYV4AB4DQRfAGgF9pXWa/fvbZTf1y8K35vYYuRxbn69NVjdP2kgQpwHy/Qo8xMb5swQFeNK9WTa/bp3uc3a2dFdK3fitomff/ZTfrFgm36wKyh+ujFI1RSkOVxxQCQHAi+ANCLrC2v0q9f2a6n1uxXKHHWKknn9M/Vp64cresnD2LiKsBjwYDpxillum7SQP11xV7974tbVV5ZL0mqaQzpVy9v10OLdupd5w/WRy4arrED8j2uGAD8jeALACmuORzRixsO6qFFO+P3DiYaU5qne64YresmDSTwAj6THgzofRcM1TvPH6y/r9qnX768TVsPRYdAN4UienTpbj26dLdmjeyrj1w0XFeNK1VaMOBx1QDgPwRfAEhRe4/V6U/L9mjesj06fLzxLcdnjuirj106UlecW8KQZsDn0oMBvXvaYL1zaple2HBQP1+wTav2VMaPL95+VIu3H9XAwizdNmuY3nfBEBWzFBIAxBF8ASCFNIcjennTYT2ydLde2nRIru1oZgUDpusnD9Sdl4zUpMGF3hQJ4IwFAqZrJgzQ1eNLtXTHUf3u9Z16dt1BhWO3LuyvatD3n92ke5/frDnnlug90wZrzrklSucqMIBejuALAEnOOafVe6v0xMpy/d/qfaqobXrLOf3zM3XLBUN064yhGlSU7UGVALqSmWnmyH6aObKf9lfV6+HF0SHPLd//oYjT8+sP6vn1B1Wcl6GbppTpPdOHcC8wgF6L4AsASWpXRa3+vmqfnlhZru1Hajs859LRxfrAzKG6clwpV3yAFDWwMFufe9tY3XPlKD395n49vHi33th1LH78SE2THnh1hx54dYfOHZCv6ycP1PWTB2l4ca6HVQNAzyL4AkCScM5py6EaPfPmAf1j3QFt2F/d4XkDCrJ009Qy3TpjiIb14xdboLfITAvq5qmDdfPUwdp+uEZ/Wb5Xj6/Yq4PVrff4bzxwXBsPHNcPntusiWUFun7yIL190kAN6ZvjYeUA0P0IvgDgY+GI06o9lXpxw0H9Y90BbT/c8ZXdvMw0XTtxgG6eWqaZI/sxOzPQy43sn6fPzz1Xn71mrF7ZcliPLd+rF9YfVGMoEj9nbXm11pZX6zvPbNTY0nxdOa5EV44r0ZQhffg3BEDKIfgCgM8cqWnUws2HtWDTYS3ccliVdc0dnpeRFtBlo4t1w5QyXT2uVNkZwR6uFIDfBQOm2WNLNHtsiWoaQ3pxw0H93+r9Wrj5sJrCrSF408Hj2nTwuH6+YJv65WZo9tgSXTWuRBePLlZBVrqHXwEAdA2CLwB4rKE5rBW7j2nxtgq9vPmw1pRXvWU25hY5GUHNGVuiuRMHaM65JcrL5J9xAKcmLzNNN04p041TylTd0Kzn1x3UU2/u16tbj6gp4UpwRW2THl8RHSYdMGny4CJdMqpYF43qp2nD+igzjT+yAUg+/MYEAD2soTmsVXsq9fq2Ci3eXqGVuyvbXHlpr39+pmaP6a+rxpfq8jH9lZXOL50Azk5BVrreNW2w3jVtsOqaQnp1yxG9uOGQXtx4SEdqWu8Jjjhp1Z5KrdpTqZ+9tFVZ6QFdMLyvLjynny4Y3leTygr5NwlAUiD4AkA3O1DVoJW7j2nF7mNaubtSa8qr2lxdaS8YMJ0/tEizx5bo8jH9NWFQgcy43w5A98jJSNM1EwbomgkDFIk4rSmv0osbDmrBpsNau6/tCJSG5ohe2XJEr2w5IknKCAY0saxA04f31fRhfTRtWB/1y8v06CsBgBMj+AJAFzre0KwN+49rzd7KeNDdX9Vw0ted0z9Xs0b204Xn9NOlo/qrMId76gD0vEDANGVIkaYMKdJnrxmryromvb6tQq9uPaLXtlVoR7ul05rCEa3YXakVuyt1f2zfyOJcTRpcqEllhZpYVqgJgwqUz33CADxG8AWAM+Cc08HqRq3fX6V15dVav79a6/ZVa/fRulN6/cjiXM2MBd1ZI/qqpCCrmysGgNNXlJOhaycN1LWTBkqSyivrtWjrES3bcVTLdx3rcA3x7Udqtf1IdJ3xFiOLczWxLBqGxw0s0JgBeeqfl8loFgA9huALAJ1wzunw8UZtPVSjrYdros+HarTpwHFV1Dad0ntkpwc1eXChzh/WR1OHFGnK0CKV5BN0ASSfsqJsvXf6EL13+hBJUkVNo5bvOqblu47pjV3H9Obeqg7nLGgJw/NXt4bhPjnpGlOar7ED8lufS/IZ8QKgWxB8AUBSbWNIe47VaXdFnXYcqW0TdI83hE75fdICplEleRo/qEBTh/bR+UOLNLY0X2nBQDdWDwDe6JeXGb8/WIpO3rdhf7XWllfpzfIqrdlbpS2HahSOvHWq+mN1zVqy46iW7DjaZn9xXqZGFOdoRHGuhhfnakS/6PPwfrks2wbgjBF8AfQKzeGIDh1vVPmxeu0+Whd9VNTGtuvbzGJ6qvIy0zRuYL7GDyzQhEGFGj+oQKNK8pjhFECvlZUe1NShfTR1aJ/4vpYw/GZ5ldaWV2nzwRptPnhcdU3hDt/jSE2jjtQ0atnOY285NqAgS8OLczSkT47K+mSrrChbZX2yNbgoRwMKs5SRxh8ZAXSM4Asg6TWHIzpY3aADVQ3aV9WgA1X12l/VoP2VDdpfHW0fPt6oDi44nJK8zDSdU5KnUf3zNKok+hhdkqehfXMUCHB/GgB0pqMwHIk4lVfWa/PB49p08Li2HIzeQrL1cE2ns94fqG7QgeoGLdbRtxwzk0rzszSoKEtlfXJUVpSt0oJMlRZkqSQ/UyX5WSopyOSPk0AvRfAF4EsNzeHYX/2bVBH76/+RmiYdPt6o9dsb9MvNr6uipklHahp1rK75rD8vPWga3CdHQ/rmaFjfnHjAHVWSp5J8JmABgK4UCJiG9I3+m3vluNL4/nDEaV9lvXYcqdXOitro85Fa7ayo056jdQp18hdM51qD8YrdlSc8ryArTSUFWSotiIbhhsombQ1uV5+cDPXNy1DfnAz1zY0+cjKC/PsPpAiCL4BuE4k41TWHdbyhWZV10UdVfVN0u75dO7avqq5JlfXNJxwC1+qtf+3vjFn0vrFBhVnRcNsvR0Njv3QN7ZujgYXZCnL1FgA8FUwIxJepf5tjzeGIyo/Va0dFrcqP1au8sr7N88HjDW3WHD6R6oaQqhuiczi0eGbHhg7PzUgLtAnCfXMz1CcnXYXZ6SrITldBVroKstNiz63t/Kx0fqYAPkPwBSApOntxYyii+qaw6ptjj6awGhK2a5tCqmkI6XhjSLWN0e2axrBqGptV0xjbbohu1zaGVdN46pNCnQ0zqX9epgYWZWtgQZYGFEaHug0ozNbAwiwNLMxSST73fgFAMksPBqKTXBXndni8KRTRgaoG7a2sU/mxeu2rbNCh4w06dLxRh6qjz4ePN3Z61bjD94xdRT5deZlpKshKU0F2uvKz0pSbmabcjDTlZASj25lB5WSkKTcjqJyWY5lB5WZEjyW2s9OD3FoDnCVfBl8zmyvpJ5KCkh5wzn2n3fFMSb+XNE1ShaT3Oed29nSdQFeIRJxCEadwxCkUiagpFFFTOKLmkFNTOKzGUGxfKKLmcHRfUyiixpZ2KKKmUFhN4ZbXuvj5TeGwmkNODaFwPNA2tAm1kfh2ffPJrrD2rLSAqV9ehorzMlsf+Rkqzs3U4b3bdekF58X398lJZ9ZkAOjlMtICGtovR0P75ZzwnEjE6Whdkw5VN8ZD8eLVG1TQv0zH6pp0tDb6OFbbpIraJjV2cr/xyUT/IBzSvqrTD80dSQ+astKCykwPKis9oMy0gLLSg7FHQJlp0eeWc1qPtx7LSAsoPRhQRjD6nB40pae1awdbz0sPWuuxtNjxQIAQjqTku+BrZkFJ90m6WtJeScvMbL5zbn3CaR+VdMw5N8rMbpH0XUnv6/lqu0ZtY0hh51Tb7FRV1ywnFx+q4xS9Ehd9lpxcdGf8mOLnt5yr2H51cFzt3k9vOZZwfsK2Ojqe+HkdvF9rDW+tv8PPkxRxTs45RSLR7ehDrc+RdvsirdvORcNja1sKx97DxV4bjr3WxfaHI63bERe9t8glvP/e8kY9c2RNLJhG4gG1Ody2HQpHQ2s4FmI7bre+JhRuDbpnOuFSssjNCCovK01F2RkqzElXUXa6inLSVZSTocKW7ewMFcWGjrUcy+3kvqoFC3br0tH9OzwGAMCJBAIW/6PpeBVIkkpqtmn27Akdnl/XFIoF4WZV1DbGwnGzjjc0q7o+pKr6ZlU3NKu6vjk6hDrWPp1l8E5Vc9ipORwddeW1tEA0IKfFgnIwYAqaKRgwpQVjzwFTwFraAaV1cE7bdqD1NQHTwYON+mfV2ng7GIweC5gUMJMlbAdMsXbi8dZjgUDb84OJxwOn+37RfTLJFN1vip7f8mtLtB3danM89t/PEl57snb792p9f4sfS3xt/PUdHLeWF6uD2hPObX2j1veTpPqQU11TSDkZvouQp8SPVc+QtNU5t12SzGyepBslJQbfGyV9Lbb9F0k/MzNzziVlhHjHT1/V9iO10caLz3lbDN5q7x6vK+gxmWkBZWcElZ0efWSmB5Wd3rovNzNNeYmP2NCt/BNs52akcY8TACBp5WSkKScjTYP7nPzcROGIU01jaxCurg+pvjl6S1BdY0i1TQnPTdHbg2obQ6ptCqmuKbpdFztW0xhSQ/OZX3nuDqGIUygSls5+bsnO7dnVzR+A0zV542LNv/sSr8s4I34MvmWSEpPGXkkzT3SOcy5kZlWS+kk60iMVAl0sLdD619H4MKS02CMYHc7UZn+74+33pSe8JiPYOhQqMdRmZ0T3Z8f2Z6YFCakAAHSBYMBUmB0dydQVWubhaGyOqCEUjj83NEdvW2oMRZ8bmqO3SDXEbm2Kviashti+5nBETSGn5nAk4dHabgo7NYfaHmtq2Q61toFk5Mfg22XM7C5Jd0lSaWmpFixY4G1BJxBuqldWUJJcm6EGLWKjKWJDKqIbiUMd4ue02yepdVhDu+34edb2/dt8nhQfapr4Hh3X1HEd7b+ODuuwtp8XiLXbPLfbDiQMz2jdF3tOGBZiahmi0rqvzXb89faW4wGTmhoblZWVqWBsf3RYTmy75RGwNu3Aifa12x8wKS3QOsTkxCKxx2kKxx4JnKS62COZ1dTU+Pb7ubeiT/yHPvEn+sV/UqVP0mOP/MSdJikj9jhtLb/ttZ1DwzmnsJPCEak5EvstJRLdF4k9wvHnllvP2u6PuNbzw/H3UPyWtIiT6hoalZ6R2ea95KLnJt5WF2/Hb5trfxtdu/NaXpdw217r6/SW17X9HNfm9VLb2/fat+PbCQfcic5JGLjqEl7jOnh9/Bz31u3Oamg9x731/U/wHmpzzKmx9njSfr/4MfiWSxqS0B4c29fROXvNLE1SoaKTXLXhnLtf0v2SNH36dDd79uzuqPesvTw7+rxgwQL5tcbeij7xJ/rFf+gT/6FP/Il+8R/6xJ/oF/9J9j7x4zSoyySNNrMRZpYh6RZJ89udM1/Sh2Pb75b0z2S9vxcAAAAA0L18d8U3ds/u3ZKeVXQ5owedc+vM7BuS3nDOzZf0G0l/MLOtko4qGo4BAAAAAHgL3wVfSXLOPS3p6Xb7vpKw3SDpPT1dFwAAAAAg+fhxqDMAAAAAAF2G4AsAAAAASGkEXwAAAABASiP4AgAAAABSGsEXAAAAAJDSCL4AAAAAgJRG8AUAAAAApDRzznldQ48ws8OSdnldx0kUSzridRFogz7xJ/rFf+gT/6FP/Il+8R/6xJ/oF/9Jhj4Z5pzr39GBXhN8k4GZveGcm+51HWhFn/gT/eI/9In/0Cf+RL/4D33iT/SL/yR7nzDUGQAAAACQ0gi+AAAAAICURvD1l/u9LgBvQZ/4E/3iP/SJ/9An/kS/+A994k/0i/8kdZ9wjy8AAAAAIKVxxRcAAAAAkNIIvj5kZp81M2dmxV7XAsnMvmlma8xslZk9Z2aDvK6ptzOz75vZxli//M3MiryuCZKZvcfM1plZxMySdtbHVGBmc81sk5ltNbMvel0PJDN70MwOmdlar2tBlJkNMbOXzGx97N+uf/O6pt7OzLLMbKmZrY71yde9rgmtzCxoZivN7EmvazkTBF+fMbMhkq6RtNvrWhD3fefcZOfcFElPSvqKx/VAel7SROfcZEmbJX3J43oQtVbSOyUt9LqQ3szMgpLuk3StpPGSbjWz8d5WBUm/lTTX6yLQRkjSZ51z4yXNkvRJvlc81yjpCufceZKmSJprZrO8LQkJ/k3SBq+LOFMEX/+5V9LnJXHztU8456oTmrmibzznnHvOOReKNRdLGuxlPYhyzm1wzm3yug5ohqStzrntzrkmSfMk3ehxTb2ec26hpKNe14FWzrn9zrkVse3jiv5CX+ZtVb2bi6qJNdNjD37v8gEzGyzp7ZIe8LqWM0Xw9REzu1FSuXNutde1oC0z+x8z2yPpA+KKr9/cIekZr4sAfKRM0p6E9l7xyzzQKTMbLmmqpCUel9LrxYbTrpJ0SNLzzjn6xB9+rOjFuYjHdZyxNK8L6G3M7AVJAzo49GVJ/0/RYc7oYZ31i3Pu7865L0v6spl9SdLdkr7aowX2Qifrk9g5X1Z0qNrDPVlbb3Yq/QIAycTM8iQ9LunT7UZ5wQPOubCkKbH5O/5mZhOdc9wb7yEzu17SIefccjOb7XE5Z4zg28Occ1d1tN/MJkkaIWm1mUnRoZsrzGyGc+5AD5bYK52oXzrwsKSnRfDtdifrEzP7iKTrJV3pWJetx5zG9wq8Uy5pSEJ7cGwfgHbMLF3R0Puwc+6vXteDVs65SjN7SdF74wm+3rpY0g1mdp2kLEkFZvZH59xtHtd1Whjq7BPOuTedcyXOueHOueGKDk07n9DrPTMbndC8UdJGr2pBlJnNVXS4zQ3OuTqv6wF8Zpmk0WY2wswyJN0iab7HNQG+Y9ErDb+RtME59yOv64FkZv1bVmows2xJV4vfuzznnPuSc25wLKPcIumfyRZ6JYIvcCq+Y2ZrzWyNokPRWe7Aez+TlC/p+dgyU7/0uiBIZnazme2VdKGkp8zsWa9r6o1iE7/dLelZRSfr+bNzbp23VcHMHpX0uqSxZrbXzD7qdU3QxZI+KOmK2M+SVbErWvDOQEkvxX7nWqboPb5JuXQO/McYIQgAAAAASGVc8QUAAAAApDSCLwAAAAAgpRF8AQAAAAApjeALAAAAAEhpBF8AAAAAQEoj+AIAAAAAUhrBFwAAAACQ0gi+AAAAAICURvAFAAAAAKQ0gi8AAAAAIKURfAEASHJmdrGZudjjvSc4Z6aZ1cTO+X5P1wgAgJfMOed1DQAA4CyZ2d8l3SBpo6SJzrlwwrGxkhZJ6ifpd5Jud/wCAADoRbjiCwBAaviSpLCkcyXd1rLTzAZJelbR0PukpDsJvQCA3oYrvgAApAgze0DSRyXtkDRWUq6khZImSXpV0jXOuXrvKgQAwBsEXwAAUoSZlUnaIilb0mck3SzpMklvSrrMOVfpXXUAAHiH4AsAQAoxs+9I+kLCrp2SLnLO7femIgAAvEfwBQAghcTu6d2j6DweRyXNcs5t8bYqAAC8xeRWAACkCDNLk/Qrtf58z5HEPb0AgF6P4AsAQAowM5P0gKTrJR1WdIKrLElf97IuAAD8gKHOAACkADP7vqTPSaqRdIWkUZIeUXSJo8nOufUelgcAgKe44gsAQJIzs88pGnqbJb3TObdM0jxJayQFJX3bw/IAAPAcwRcAgCRmZh+S9D1JTtJHnHPPS5KLDun6r9hpN5jZxR6VCACA5xjqDABAkjKz6yT9XVKapM84537cwTmLJc2UtMg5d0nPVggAgD9wxRcAgCRkZhdKekzR0PvdjkJvzJdjzxeb2Y09URsAAH7DFV8AAAAAQErjii8AAAAAIKURfAEAAAAAKY3gCwAAAABIaQRfAAAAAEBKI/gCAAAAAFIawRcAAAAAkNIIvgAAAACAlEbwBQAAAACkNIIvAAAAACClEXwBAAAAACmN4AsAAAAASGn/H1czxnKPYE2SAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1152x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lval = 1\n",
    "xv = np.linspace(-4,4,1000)\n",
    "y = [e2lambda(x1,lval) for x1 in xv]\n",
    "\n",
    "fig = plt.figure(figsize=(16,5))\n",
    "\n",
    "fig.suptitle(\"$ e^{2*\\lambda | x|}  $\", fontsize=25)\n",
    "\n",
    "plt.plot(xv,y, lw=3)\n",
    "#plt.plot((-1, av), (apex1, apex1), 'r--', lw=3)\n",
    "#plt.title('$ \\Psi(x) $', fontsize=20)\n",
    "#plt.yticks([0, .2, .4, .6, .8, apex1, 1],['','.2','','','', '$ \\sqrt{A}$', \"1\"], fontsize = 'x-large')\n",
    "#plt.xticks([-1, 0, 0.5, 2, 3, 4], ['','0', 'a', 'b', '', ''], fontsize='xx-large')\n",
    "plt.ylabel('$\\Psi$', fontsize=25)\n",
    "plt.xlabel('$x$', fontsize=25)\n",
    "plt.grid()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f3d74a5b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}