ToyPotential.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from scipy import math\n",
    "import math\n",
    "import random\n",
    "import scipy.stats as stats\n",
    "#matplotlib.rcParams['text.usetex'] = True\n",
    "import seaborn as sns\n",
    "from simtk.unit import *\n",
    "\n",
    "kb = BOLTZMANN_CONSTANT_kB * kilojoules_per_mole\n",
    "\n",
    "sns.set()\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting pos - 17.140000\n",
      "(61000,) 61000 (45, 2)\n",
      "6.02214179e+23 /mol\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAGoCAYAAABbkkSYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzdeXzcVb3/8ddksm9tk6ZZ2ixdT/eFFihbS9kKCK4ouIDLxYv+vHpdUe9FuSoqCm64gDsqCiggiCK0CN1p6b7ndE2atmnWNk2bNs0yvz++M2WIaTJJZ+Y7k7yfj8c80vmun5n5pvl+5pzzOR6fz4eIiIiIiIicvwS3AxARERERERkolGCJiIiIiIiEiRIsERERERGRMFGCJSIiIiIiEiZKsERERERERMJECZaIiIiIiEiYJLodgIhIgDEmlHkjKq21ZWE85y1AkbX2oRC2TQVO+Z/ea639epf1CcABYCTwa2vtnX2M5Rrg0q7H7cP+E4GdQYtagaPANuBvwG+stSf7c+wezrkaOGGtvaabdf8F/BgotNYe6eNxjwDPWms/1sf9Au/B7dbax3rYLhG4B3jFWrusL+fo4Zhe4H+BO4ER/ji+aq19PsT93w18BZgAVAOPAN+11vqCtrkS+DAwB5gI7LbWTuxnvKOBfcAXrbXf7bJuP1AGjLXW7gtaPhtYB3zUWvsrY8zHgIfp5TMO+lzea619wr/sTuCMtfb3XbYNHLPYWnuwP6+tN8aYGcD3gbk4v9N/Bb5grT0Wwr7DgQeBtwLJwErg09banUHbeIH7cD6n2cAwgl67iAxsasESkVhySZfHEeClLsveEeZz3gJ8qo/7NAO3d7P8GqCAN5KwvroG+Go/9w32fzjv1TXAfwHlwLeBTf6b6nhwI/CdCB4/EbgXmBfGY34X+DLOjfsNwEbgWWPM1b3taIx5K/AksBy4HifB+AbOZxnsOuBSYAuw63yCtdbuB6ro8h4YY0bhJFctXdcFPQ8kpc/gXGsN/QjhTuCOfux3XowxJcCrgAd4J/DfwFtwPitPL/t6gReAK4GPA+8BsoAlxpj8oE2TgE/gJGAvhPkliEiMUwuWiMQMa+3q4OfGmFagvuvyGPAM8EFjzNwusd0BLAZmuRPWWXu7xPW0MeZhnG/anwQucies0FlrN7gdQ18YY0biJOpftdb+0L/4VWOMwUlue3vPvwMsttZ+wv98iTFmKHC3MeZH1tpG//J7rLX/4z/nU8DU8wx9OXCjMSbBWtvpXzYfqMO5lucBjwZtPw84Yq3dBWCtrQVqzzOGaPsy0Am8zVrbDGCMqcP5MucGek6IbgEuxGlpfs2/7xqgAvgccDeAtfa0MWaotbbTGDMVeH+EXouIxCAlWCISt/xd6u7B6YYDsBT4fJeuOjf5t5mM8431QeB31tr7jTFPALf6twt0w7IhdLnaA7yG04q12r9/Jk7r2p10k2D5v92+D7gJyAH2Ag9Ya3/rX38/8MUusbRaa1P9y76Nc/M3Bqfr32bgS9badb3EGnhRO/znuN8Yc5m1dmUo+0WCMeZWnJvRqTiv5SXgc9baQ0Hb/FsXQWPMDcD9gMHpinkfTkvXzG4+syT/e/ZhIAXn2vi4tba6S1fPbxhjvuH/95ettff382XdiPM3tWu3xMeAnxljCq211d3taIwZj9Pd71tdVv0BJxlYCDwOEJQEhctS4H3AdGCTf9k8YAVO8vX5oDg9wOXAK0HL/q2LoP934fs4yUgSTqL2pi64/q6lF/v/HbjeX7LWXh+0Wb4xJtAaeBx4AuczOnOer/mtwHOB5ArAWrvIGFMDvI2eE6y3AvsCyZV/3wZjzAv+fe8OWh7uz0pE4oQSLBGJS8aYdwJ/wRk78T7Ai3MzuswYM91/Iz0Rp7XpTzjdwdqB8UCx/zD3ALk4N7fv9i8LtXvf74H7jDGftta24dxMtgPPAj/oEuswnIQscM4DOF2Sfm2MSbTW/hL4KVDkfy2X+7cNvkErAB4ADuF0SfoQsMIYM9NaWx5izC/gJCiX4bRmhYvHP6apq3/rhm6M+TTOzfcvcT6TocDXcVp7ZlprW7o7gTFmJs44suU43bLS/ftn4HRl6+penOThQzhj4h7EaYlZiJPUzfev/zlvtNAc8J/Lg3M99aYz6CZ6CnDcWlvVZZvt/p+TccZVdWeK/+e2Lst34VxTk0OIpb8CXf3m8eYE6xc47/XDxpgia+1hfxzDg/Y5l98CN+N8BhtxEqTfd9nmP3BaU1t4o4tu1/FPfwL+6I/lCpzus/U4LYLA2S57PXbrA7DWtvu3H4rze9b1vQbYQe/v9ZRz7LsduMUYkxyGBFBE4pwSLBGJO/5iEj/C+cb7lqDlS3EG7f838CWclq1E4C5rbat/s38FtrfW7jHGNOC0FPW1G+KTwA/xj93A6R74lLX2lNMr7E0+D+QDU6y1Ff5li40xucDXjDG/ttZWGWMO++P6t1istR8Oep1e4EVgN04LzRdDjPmA/2dhiNuH6iqgrbeN/De33wQesdb+v6Dl63Fubu/AKezQna/idFu7IfBZGmNew2lN3NvN9tZa+8GgcxTitFblWGsbjTGv+1cd7Ob9vgunVaY3PwcCLWw5OAVFumoMWn8ugXVv2t9a22GMaepl3/NirS03xtTiJFUPGWPycL5wWI7zmTT41z3BG+Ovlp7reMaY6ThfNnwmqKvkIv9n/6Gg8243xpzAKZByrt+9R621gWTqZWPMZcB7CUqwcL5wyP+3Pf89rkALW7fvtV8jMKmXQ+XwRiLadd8EYAjOdSoig5gSLBGJR1OAUcAXu7ScHAfW8saN4AacVqC/GGMeBZZZa+vDEYC19qgx5u/A7caYDTiD3r92js2vx+lydbBLvC8BHwDG0UvBAmPM9cD/4Lz24Bvuf8vmehD4pv+c1Rr9yWtwy1NwK825vI4zoL+r9wBfCHp+BU7L0x+7vA/7/I95nDvBmgs8H5QoY62tNMaspfsE5B9dnm/1/yzhjaTnXJ7GqZTXm+CxRx66f197bV2h588llP3P1zLe+J2ZB5wANlprfcaYVbw5wWrkjVa57sz1//xzl+VPEJRghai7z/DDXZYtxOmG2JvA7/35vtfn8zmLyCChBEtE4tEI/88/+h9dBQbg7/CP2/kCTnejJP/Yj7vDNAbp9zjdFPcDlZy769QI4ALO3cqT29NJjDGXAH8Hnse5wawBOnDG6KT2Id5A18hzdVUDZxxQcIvYSzgJYk+auxsLZoyZ22VR4HNbcY7j7O9uob/LXj7dF1OoofsEq2sSFUjMQnm/6um+haOr4MSz8RxxDDtHPMGCW7kqAwv9yW52L/uGwzKc7m0TcZKo16y1Hf51y4FAS+AVwPLgsvHdCLSO1nRZ3vV5KLr7DLt+ftvoQxdB3qh2eK7Pqrf3uqfPuRNo6i0WERn4lGCJSDwK3CR9ju6TmtOBf1hrF+N0x0vFGdv0TeAFY0yJtfZ8b4b+iXND9RngWz3ceDbgdGX7wjnW9zaG6hacVoVbgm58Mca86YY8BG/x/zxXggPOvFVPBT0P5w1j4HN7H073xq6Od7eTvyWlhjcStGC9dg/rh/50EdwOZBtjRnWZuykwpmdHD8cJtAhNwRmzFDAB5+90T/uGQ/A4rHk44xYDlgPfMcZchDOW7Xu9HCuQvOcDh4OWR+Jzgj52EbTWHjPGVPPGuLdgk4HnejnUdrqvCDkZ2KPxVyICSrBEJD5txbl5m2St/X4oO1hrT+OM48jBGT9V4j9OK5DWnyCstW3GmPtwxiA92sOmL+J0j9oXVG67O62A1xiT5C+cEZCOU+wgeMLZG+k+4eiWMWYyTsvU6uAKaF35K/kdOtf687QMp4jIGGvt433cdzVwszHmU0FjsEpxSmZ3NwarN2dw3s/uPvv+dBF8AadV8f28ef6u9wPrzlVBEMBau8sYY/3bBlch/ADONbEohFjOxxacFrubcaoJfiZo3XqcLyz+1/+8twIXgfFU78EZoxhwWzfb9vt3L0hfuwiCUyzlXf4CNSfgbEXSfP+6nvwNeK8x5mJr7Rr/vsNwqkj+vK/Bi8jApARLROKOf/D/f+GMrUrHuSFuwKm0dxmwy1r7E2PMp3BuwF/EKc+ehzOO6QBvtBrtAO4wxvwHzo1mi7W2pzEmXWN5iC4lqLvxXZxWqBXGmB/idGHMwhlQf7G19l1BsQB8wRjzMtDunw/qRZyWkl8bYx7z7/e/nLur31h/9zwvzk3jlcBHcJLS7m50o8JfXOJLwPeMMUU43Q+bcVpGFgD/tNY+dY7dv44zvu6f/vcwUEXwCG/uqhdqLJ3+pOZtxphXcFrqDvpbOeroY6ECa+1BY8xPgHuNMadwkvf340wKfEPwtsaYFcBQa23wHFZfBp4xxvwY53q+EKfk93estQ1B++bjdNUD533LMsYECr1stdZa/3YTgZ2EUHre30K4AmcKgXZgTdC6Nv88TzfjtDB2V+Ah+FhbjDM/1/3GmGScFrkbge4mW96BM5/cu3BaYpustd21bPZ0vs192d7vfpzfg+eMMd/BqYz4AE5r3dkS7caY6/zP32etDYwp+wtO0ZonjDFfxLl+/xcnCX1T654xZgFO999A19yLjTHtQIe19q/9iFtE4sS/ldAVEYkH/huUBTjjIX6Nc7N+P87NUqBC3EacMuDfwWkFeAjnpvPqoBaih3G6xH3Pv9/TEYi1EWfOn5dxbsYWAb/C6bL3r6BNn8YpX/5ZnJaAVf79n8O5qbsKZyzW7Tg3iAfo3v/hlIV/BfgZTkL2ZWCWtbYvXQrDzp+Q3oIzB9YfcQoZ3IvTmrS1h/024cwzNBznJvc+nMR1G/3vxvhxnITiBZzk7UP9PE7A5/0xfQEnKZ4DvNNa27UFKpEuX3D6r+fbcJLhl4D/wnlf7u2y7yyc1/8XnIISRUHP3xG0XYb/55EQY1+KM5ZpnbW261QFy/3rVgV3Ue3Bh3ljDq9ngFKcCpFdfROnu+rvcN7/H4cY63nxV/JcgPOanvWf9584Ew8Hd/NNwPmSIiFo3w6chHk5TovVUzil5q8MzAMW5Ns4n0uglf3T/ud9bb0VkTjj8fl6GqsqIiISm/ylv/cAT1pru6tiOGj5W2+/BIwOrrwoIiKRpy6CIiISF4wxP8NpaTmCU6b/MzgtNT9xM64YNR94UMmViEj0RS3BMsY8C4zG6St/AviktXaTMWYCTveAXJwxFHcE+mD3tE5ERAadDOBBnOIerThjhRZYa3e6GlUMChrXJyIiURbNFqwPBkoiG2PeBvwGZ16YR4CfWmsfM8Z8AKdP81X+fXpaJyIig4i19oO9byUiIuIuV8ZgGWPuAD6FU1loF5DrrwrmxWmpGo8z+LTbdf4KT71JwanCVI1TOldERERERKQ/vDiTqa/ljcnruxXVMVjGmF8B1+EkT9fjlC49FKhK5E+kDvuXe3pYF0qCdSFOlR8REREREZFwuAKnAuo5RTXBstbeCWCMuR1nzomvRPB01QBHj56ks3PgVUrc/889rLhnCdc/ejN503qdxF6A3NxMGhpOuB2GxAhdDxKga0GC6XqQYAPheljy2cU0VR7jbU+/2+1Q4lpCgodhwzLg3HNQnuVKFUFr7R+MMb/AmfhzpDHGG9QNsAiowmnBOte6UHQAdHb6BmSCVTB3JM2Hmtn1dDm5U0a4HU7cGIjXgvSfrgcJ0LUgwXQ9SLB4vx4qXtlPwYVFcf86YkivQ4+iMtGwMSbTGFMc9PxmoBGoxZkV/r3+Ve8FNlpr66y151wXjZhjXcqQVEZeXsy+F/agucxEREREpKvW462cONjM8Cl5bocyqEQlwcIprfsXY8xWY8wmnLlLbvbPmP4x4JPGmF3AJ/3PA3paN+iNvnEcTfuO0bCj3u1QRERERCTGNJY3AJBjcl2OZHCJShdBa20NMPcc68qBi/u6TmDsTeNZ/uVX2P3Xcn0zISIiIiJvctQ6X8LnTBzuciSDS7RasCQC0oanU3xlKXv+avGpX62IiIiIBGm0DSSmJ5JVnO12KIOKEqw4N/6dE2muOs6RtYfdDkVEREREYkhjeQPDJuTiSfC4HcqgogQrzo2+YRyJaYnsfqbc7VBEREREJIY02gaNv3KBEqw4l5yZTNnCsez52y462nqtGikiIiIig8Dpo6doqTmpBMsFSrAGgPHvnMjphlNULal0OxQRERERiQGN1l9BcJIKXESbEqwBoOSqMtKGp7Hzsa1uhyIiIiIiMUAl2t2jBGsA8CZ7MbdOoWLRPk7WnHA7HBERERFx2VHbQFJmMpkjs9wOZdBRgjVATP7ANHwdPsof3+52KCIiIiLiMqfARQ4ejyoIRpsSrAFi6NhhFF02ip2PbdOcWCIiIiKDXGN5A8PUPdAVSrAGkCm3T+f4gSYVuxAREREZxE7Vt3CqvoUcowIXblCCNYCMecs40kdksPnn690ORURERERccraC4ES1YLlBCdYA4k1JZOp/zKTq1Uoadta7HY6IiIiIuOBsBUElWK5QgjXATP3gdBLTEtn8iFqxRERERAajRttAcnYKGQWZbocyKCnBGmBSc9KYeNsUdj1dzskjKtkuIiIiMtgctfXkmFxVEHSJEqwBaMbHZ0Onj/U/WON2KCIiIiISRT6fj4byBnUPdJESrAFoSNlQJr5vKjse28rxA01uhyMiIiIiUXKqtoXWo6dVot1FSrAGqDmfvRhPgod1D652OxQRERERiZJABcHciSrR7hYlWANUZlEWUz88E/vnHdRtrXU7HBERERGJgkbrVJLOUQuWa5RgDWBzPncxqTlpLLv7X/g6fW6HIyIiIiIR1ljeQMqwVNJGpLsdyqClBGsASxmSyiX3zqNmfTU7/7TN7XBEREREJMIabYMqCLpMCdYAZ94ziaJLR7Hq3qUcr1TBCxEREZGByufz0VjeoO6BLlOCNcB5PB6uemghAC//v3/S2d7pckQiIiIiEgknj5zgzPFWclTgwlVKsAaB7JIhzPvu1RxZe5iVX13idjgiIiIiEgGN5U4FQc2B5a5EtwOQ6JjwrknUba5l8yPryS4dyoy7LnA7JBEREREJo6P+Eu3qIuguJViDyCX3XsHxA02s/MoS8MCM/1SSJSIiIjJQNNoG0oankTZcFQTdpC6Cg0iCN4Hrfn4jY24az8p7lrDyq0vpONPhdlgiIiIiEgaN5fUMU+uV65RgDTLelESu+8VbmPYfM9n8yHqeuekJajZUux2WiIiIiJwHn89Ho21U98AYoARrEEpITOCKb1/Fwl/fxIlDzTx9/eO8cMdzVCzeR/vpdrfDExEREZE+OnGombYTZ1RBMAZoDNYgNvbmCRQvKGPTT9ex/XdbqHhxL95ULyNmFDBk7FAyi7JIzkwmMT2JpPQkEtMSz/47KSOJ7LKhpGSnuP0yRERERAa9RqsKgrFCCdYgl5yZzEVfvJTZn7mYg8sqObj0ADUbj3Dg5Qpaak/2un9GUSajrihh9A3jKLtuDAmJahQVERERibazJdrVRdB1SrAEAG+yl9JrxlB6zZizyzo7Omk/1U7biTO0t7TRdqqd9lNttJ9q58zxVo7tPUr9tjoqXtqLfXIHWcXZzPncXCbeNgVPgsfFVyMiIiIyuBy1DaSPyCB1WJrboQx6SrDknBK8CSRnJpOcmdzjdp3tnVQs2sfGH7/Oq59eRPnj27nmkRvJGpkVpUhFREREBreG8nq1XsUI9eeS85aQmMCYG8fxzhfey1UPLaR+ex1PXfsY1a8fdjs0ERERkQHP1+nj6K4Ghmn8VUxQgiVh4/F4mHjbFG556X0kZ6fw/Hue5tCqKrfDEhERERnQmquO097STq4SrJigBEvCbtj4HN7+3HvIGpXFC+9/lvrtdW6HJCIiIjJgBSoIDjMq0R4LlGBJRGTkZ/LWp24hOSuZF25/lpa6FrdDEhERERmQGsvrAcgxOS5HIqAESyIooyCTG/7wdk7VtfDqp1/C5/O5HZKIiIjIgNNY3kBGYSYpQ1LdDkVQgiURNmJGPnO/cgWVi/ez4/db3Q5HREREZMBptA2qIBhDlGBJxE2/cxaj5pey8t6lnDjc7HY4IiIiIgNGZ0cnR3crwYolSrAk4jwJHuY/cDW+jk5e+/oyt8MRERERGTCaK5voON1BziQVuIgVSrAkKoaUDWXWJ+aw+xnL4dcOuh2OiIiIyIAQqCCoFqzYoQRLombWpy4ioyiT176+XAUvRERERMLgjRLtSrBihRIsiZqk9CTmfHYuNeurOfBKhdvhiIiIiMS9xvJ6MkdlkZyZ7HYo4qcES6Jq4m1TyCrJ5vXvrFIrloiIiMh5aixXgYtYowRLosqb7GX2Zy6mblMNVUsq3Q5HREREJG51tndydM9RciaqwEUsUYIlUWdumUT6iAy2/HyD26GIiIiIxK2mimN0nulQC1aMUYIlUedNSWTqR2Zw4JUKGsvr3Q5HREREJC41lvsrCE5UghVLlGCJK6Z8cAbeVC+bf6FWLBEREZH+CHxRPWy8EqxYogRLXJGWm8aEWyax++lyWo+3uh2OiIiISNxptA1klwwhKSPJ7VAkSGI0TmKMyQX+AIwFWoE9wF3W2jpjjA/YCnT6N7/dWrvVv9/NwAP+ONcDH7bWtkQjZom8ybdPZ+dj29j9TDlTPzTD7XBERERE4spR28AwdQ+MOdFqwfIB37XWGmvtdGAvcH/Q+kuttTP9j0BylQn8ErjZWjsOaAY+H6V4JQpGzMwnd/Jwdv5xm9uhiIiIiMSVjrYOju09qvFXMSgqCZa1ttFauyRo0WqgtJfdbgDWWWt3+58/AtwagfDEJR6Ph0kfmEbd5hrqtta6HY6IiIhI3Gjad4zOtk5VEIxBUekiGMwYkwB8HPhb0OIlxphE4J/A/1lrW4ESIHiipANAcV/Pl5ubeR7RSqRdeteFvPa1ZVQ8Y5l81diIny8vLyvi55D4oetBAnQtSDBdDxIsVq+H2iUHABh7SUnMxjhYRT3BAn4MnAB+4n9eYq2tMsZk44zT+gpwT7hO1tBwgs5OX7gOJxFQdv1Ytj6xjdn/exkJiZFrVM3Ly6Kurjlix5f4outBAnQtSDBdDxIslq+HijUH8SR4IDclZmMcSBISPCE33ES1iqAx5kFgPHCrtbYTwFpb5f95HPgVcJl/8wO8uRthCVAVvWglWsa/3XC64RQHlx9wOxQRERGRuNBoG8guHUJimioIxpqoJVjGmG8Cs4G3+7sAYowZZoxJ8/87EbgF2OTf5UXgQmPMeP/zjwF/jla8Ej0lV48mOSuZPX+1bociIiIiEhcabYPGX8WoqCRYxpgpwP8ARcAqY8wmY8xfgYnAGmPMZmAL0IbTRRBrbTPwn8DfjTF7gCHAg9GIV6IrMTWR0TeOY98/dtPR2u52OCIiIiIxraO1naZ9R8mZNNztUKQbURmDZa3dDnjOsXp6D/s9BzwXkaAkpox/x0Tskzs48EoFo28Y53Y4IiIiIjHr2N6j+Dp8asGKUVEdgyVyLiOvKCY1N409z6mboIiIiEhPGssbABimBCsmKcGSmOBN8jL6+rFULt5Px5kOt8MRERERiVmNtgGP18OwccPcDkW6oQRLYsbo68dypvkMh1cddDsUERERkZjVWF7PkNFD8aa4MeOS9EYJlsSMUfNKSExPZP+Le9wORURERCRmNdoGciaqwEWsUoIlMSMxLYni+aXsf3EvPp8mhxYRERHpqv10O8crmlTgIoYpwZKYMvqGcZw8fIK6LbVuhyIiIiISc47tbsTX6SNnohKsWKUES2JK6bVj8CR4qPinugmKiIiIdNVQXg+gFqwYpgRLYkpabhoFFxVRsWif26GIiIiIxJxG20BCYgJDxqiCYKxSgiUxp/Sa0dRvq6Ol5qTboYiIiIjElKO2gSFjh+FN9rodipyDEiyJOcULygA4sKTS1ThEREREYk1jeYO6B8Y4JVgSc4ZPySMtL52qV/e7HYqIiIhIzGg72cbxyiZyJ6lEeyxTgiUxx5PgoWRBGVVLKuns6HQ7HBEREZGY0LirAUAVBGOcEiyJScULSjndeJq6zTVuhyIiIiISExoDFQTVghXTlGBJTCqeXwoeqHpV47BEREREABp3NuBN9ZJdOsTtUKQHSrAkJqUNT2fEzHwOvFLhdigiIiIiMaGxvJ6cCbkkeHULH8v06UjMKl5QRs36alqbTrsdioiIiIjrGsvryZmo7oGxTgmWxKxRV5Tg6/RRvfqQ26GIiIiIuOr0sdOcPHJSBS7igBIsiVn5swvxpno5uKLK7VBEREREXHW03F9BUAUuYp4SLIlZiamJFFxYxCElWCIiIjLINQQqCGqS4ZinBEti2sjLS2jYXsephlNuhyIiIiLimsbyepIyk8kcmeV2KNILJVgS00ZeVgzA4VVqxRIREZHBq7G8gZyJuXg8HrdDkV4owZKYNmJWPonpSeomKCIiIoOWz+ejsbyeXI2/igtKsCSmeZO8FM0dyaGVSrBERERkcDpV28LpxtOqIBgnlGBJzBt5eTFHdzVysuaE26GIiIiIRN3ZAheaAysuKMGSmDfycv84rJUHXY5EREREJPoaAyXalWDFBSVYEvOGTxtBcnaKugmKiIjIoNRYXk/a8DTS89LdDkVCoARLYl6CN4GCCwupXnPI7VBEREREoq6xvF6tV3FECZbEhcK5ozi6q1HzYYmIiMig4uv0nS3RLvFBCZbEhcKLiwA48rpasURERGTwaD54nLaTbWrBiiNKsCQujJhZQEKyV90ERUREZFBptCpwEW+UYElcSExNJH9WgRIsERERGVQadgRKtKuLYLxQgiVxo+DiIuo219J2ss3tUERERESiomF7HVkl2aRkp7gdioRICZbEjaK5I+ls76R2Y7XboYiIiIhERf32OoZPznM7DOkDJVgSNwouLAIPHF6tboIiIiIy8LWfaqNp71FypyjBiidKsCRupAxJJXfScKqVYImIiMgg0FDegK/TpwQrzijBkrhSOHckR9ZV09ne6XYoIiIiIhHVsL0OgOFKsOKKEiyJK4VzR9He0kb9tlq3QxERERGJqIbtdSRlJJFdOsTtUKQPlGBJXAlMOKxugiIiIjLQ1W+vI3dyHp4Ejzyg+YgAACAASURBVNuhSB8owZK4klmYRVZJNkfWHnY7FBEREZGI8fl8NOyo1/irOKQES+JOwZxCjqxTqXYREREZuJqrjnPmeKvGX8UhJVgSd/LnFHGy+gTNh5rdDkVEREQkIgIFLnKnDHc5EukrJVgSdwrmFAJQs07dBEVERGRgqt9eBx7InaQWrHiTGMpGxphiYAYwFDgGbLbWVkUyMJFzyZ2SR2JaIkfWVTPubcbtcERERETCrmF7HUNGDyUpI8ntUKSPzplgGWOSgLv8jzHAHqAZyALGGWP2A48Av7DWnolCrCIAeJO85M3IV6ELERERGbDqt9eRN22E22FIP/TURXAzMBEnwcq21s6w1l5urZ0BZAMf9a/fGPkwRd6sYE4h9VtraT/d7nYoIiIiImF15sQZjlc0qYJgnOqpi+CV1tpuZ3O11nYArwGvGWP0yUvU5c8povMn66jbXEPhxSPdDkdEREQkbBq2OQUuhk9VC1Y8OmcL1rmSq262qwtfOCKhCRS6ULl2ERERGWhqt9QAkDdDCVY86mkM1h8AX28HsNbeEdaIREKQPiKD7JIhqiQoIiIiA07d5hrS8zPIyM90OxTph566CO4J10mMMbnAH4CxQKv/2HdZa+uMMXOBnwNpQAXwgUDrWU/rRPIvLOTQiip8Ph8ej8ftcGKKr9NH/bZaWmpPkl06lGHjc9wOSUREREJUt6WWvOlqvYpX50ywrLVfC+N5fMB3rbVLAIwxDwD3G2PuBB4DPmStXWGMuQe4H/iIMcZzrnVhjEviWMGcInY/Xc6Jg81kFWe7HU7M2PfCHlbdu5TjlU1nl+XNzGfe/VeRf0Ghi5GJiIhIb9pOtnFsdyNjbxrvdijSTyHNgwVgjFkA3A6MBA4Bj1lrXwllX2ttI7AkaNFq4OPAHOC0tXaFf/kjOC1VH+llnQgFFwbGYR1WggX4fD7WfHslG374OrmTh3P1T65nyOih1G2pZcNDr/PXm5/k6h9fz/h3TnQ7VBERETmH+u11+Dp95M3IdzsU6adQJxq+E/gW8CtgDVAC/MkY8xVr7S/7ckJjTAJOcvU3/3EqA+ustfXGmARjTE5P6/wJW0hyc9V3daDKnZ9BUnoSTdvryfvPrJD2ycsLbbt49Oq9r7Lhh69zwUcv4Maf3og3yeusuNFwyV1zePLtT/LyJ/7JiNJhjLt+nLvBxoiBfD1I3+hakGC6HiRYtK+HffuOATDxqjFk61qMS6G2YN0NXGut3RxYYIx5Enga6FOCBfwYOAH8BHhHH/fts4aGE3R29lqrQ+JU3sx8KpZXUlfX3Pu2eVkhbReP9v59N8u+voyJ753CxffNp/FYy79tc92jN/PXtz7JX97zF25degdZowZ3q99Avh6kb3QtSDBdDxLMjeth/8oDpOWlczoJWnUtxoyEBE/IDTc9TTQcLBfY0WWZBfo0ct4Y8yAwHrjVWtsJHABKg9YPB3z+Fqqe1okAkD+nkPqtdbSfanM7FNe01LWw5HOLGTErn/nfvfqcBT+SMpNZ+Jub6ezw8epnFuPz6YsHERGRWFO3pYa8Gfkq4BXHQk2wVgDfN8akAxhjMoAHgFWhnsgY801gNvB2a22rf/F6IM0Yc7n/+ceAP4ewTgRwCl10tndSu7nG7VBcs+KeV2k72cZVD12PN6XnRukhZUO59KtXcHBpJXv/titKEYqIiEgo2lraOGobVUEwzoWaYH0MmA40GWNqgGPADOCuUHY2xkwB/gcoAlYZYzYZY/7qb8W6HXjYGLMbmA98CaCndSIBgQmHa9YOzgmHD62sYs9fLbM/fRE5JjekfSZ/cDo5k4az+r4VdLS2RzhCERERCVVDoMDFdBW4iGchjcGy1lYD840xxUAhcNhaezDUk1hrtwPdtnNaa1cB0/q6TgQgbXg62WVDOLJ+8CVYPp+P1fetIKMwk1mfmBPyfgneBC69dx5/v+0Zdjy2lWn/MSuCUYqIiEio6rY4072qgmB8C7lMu18T0AFgjCkCsNYeDndQIn1RMKeIg8sODLoJhyte3EvN+mqu/N41JKYl9Wnf4gWlFFxUxKaH1zPlgzNISAy1MVtERMQdTfuPse03m6haVsmJg80kpieRN30EE26ZxNibJwyIv2W1m46QNjydzCJVwY5nIV2JxphrjDH7gKPAwaBHVQRjEwlJ/uxCWmpPcuLg4Km04/P5WPvgaoaMGcrE907t8/4ej4dZn5hD84Hj7H1eY7FERCR2dZzp4PX7V/L4ZY+y9TebyCjIZOJ7p1B8ZSmN5Q0svusF/nLtH6nbEv/jsWvWV5M/p3BQfWE8EIXagvVr4BvAE8CpyIUj0neDccLhwyurqN9ay5Xfv7bf39iVLRzL0HHD2PSz9Yx/hyYfFhGR2HOmuZUXP/w8B5cdYMK7J3HJV68gI/+N1h1fp4+9f9/Nyq8s4ZmbnuCqHy5k/Dvj82/a6aOnOLbnKObWKW6HIucp1AQrFfittbYjksGI9EfOpOEkpiVyZF31oEkUNj28nrThaUy4ZVK/j+FJ8DD9zlks+9IrTklYDagVEZEY0tbSxvO3PkPdphquemghE2/798TDk+Bh3FsnUHTJKBZ99O8s/vgLdLR1MvHWyS5EfH5qNx4BIP+CApcjkfMV6lffPwDuNsaovVJijjfJy4iZ+dQMkkIXR3c3Url4P1M/PJPE1L4Oo3yz8e+aiDfVy47HtoUpOhERkfPX2dHJ4o+9QM36aq79xVu6Ta6Cpeelc9Pj72DUFSW88qkXqVi0L0qRhs+RddXggRGzlGDFu1ATrKeBj+KUad8X/IhgbCIhy59TRP3WWtpPD/yy49t+u4mEZC9TPzzjvI+VMiSVsTdPYPfTO2lrGbyTNYuISGzZ8NBaKl7cy+XfXMDYm8aHtE9iWhI3/P5t5E3PZ/HHXqBxV0OEowyvmvXV5EwcTnJmstuhyHkKNcF6ClgOvA8n0Qp+iLguf3YhnW2d1A3wCYfbT7Wx6y87GXvTONKGp4flmJM/MI0zzWfY+/zusBxPRETkfFS/fpi1313FuHcYpv3HzD7tm5SexPWPvpXE1ERe/PDztJ+Kjy8PfZ0+ajceOTu/p8S3UPsXjQZm+Sf/FYk5ZyccXl9N4cUjXY4mcva9sIfWplYmvS9808MVzh1JdskQdj+zMy77rIuIyMDRfrqdVz75Ilkjs5n/wDX9qqaXNTKLax6+geff/TSrv7mCy+9bEIFIw+vYvqO0HmtlhMZfDQihtmA9B1wVyUBEzkf6iAyyS4Y4/ZcHsJ1/2kZ2yRBGXl4ctmN6PB7Gvm0CB5cd4HSjioSKiIh7Njz0Ok37jzH/e9eQkp3S7+MUzy9l2p0z2fKLjRxcfiCMEUZGjf/+pWC2WrAGglATrBTgb8aYl4wxvw9+RDI4kb7In1MwoAtdNO0/xqHlVUx8/1Q8CeGtNzPu7QZfh499/1A3QRERccexfUfZ8NBaxr/TUDy/9LyPN/eeKxgyZihLv/AyHa2xPUa7Zn01yVnJDJuQ63YoEgahJljbge8Aq4C9XR4iMSF/ThEnq0/QfGhgTjhs/7wDPESkG9/wqXkMGTOUPc9q0mEREXHH6m8sx5vs5bKvXRmW4yWlJ3HFt66iad8xNv5sfViOGSnVaw6RP7sw7F+gijt6HINljLkGWGqt/VqU4hHpt7PjsNYdJmukcTma8PL5fOx51jLy8mIyi7LCfnyPx8O4txk2/Oh1WupaSM8LTwENERGRUNRsqGbfP/Zw4d2XkJ6fEbbjllxVxpibxrPhh2uY8K6JZJcMCduxw+V04ykayxsYN0jm8hwMemvB+gJw2BjzrDHmo8aYgVs9QOJe7uQ8vKnes/2YB5L6rbUc23uU8W+PXOI49qbx+Dp9VC7W7AsiIhI9Pp+P1fetIG14GjM+Njvsx7/sG1eCB177xvKwHzscqtccAqDoEt1mDxQ9JljW2oVAKfBr4AJgpTFmszHmW8aYy40xoXYxFIk4b7KXETMKBmShi91/tSQkJjAmxLlA+iN3ah4ZRZlxOTmjiIjEr4PLDnBoRRWzP3NxROaAyhqZxYyPzWbvc7uo3XQk7Mc/X4dfO4Q3xcuImaogOFD0miBZa1ustc9baz9urS0D3g8cA74JVBtjnjDGXBzhOEVCkj+7gLqttTE/mLUvfJ1O98DiBaWkDkuL2Hk8Hg9l146haknlgHr/REQktq3/4RoyCjOZcsf0iJ1j1ifmkJqTymvfWI7P54vYefqjes1B8i8oIDE11NmTJNb1uQXKWrvNWvtda+18YDzwNJAd9shE+iF/ThGdZzqo21rrdihhc2TtYU4camZ8FPpmly0cQ3tLG4dWHYz4uURERGrWV3N45UFm3HUB3pTIJRjJWSnM/uxcDi2vompJZcTO01dnTpyhbksthZeMcjsUCaPeilyM6WV/H/CStfZ4+EIS6b83Cl1UUzCnyOVowmPPsxZvqpey68dG/FwjLysmMS2RykX7KFlQFvHziYjI4Lbhx2tJGZLC5Ai2XgVM/eB0tvxiA6vvW0HxlaX9msQ43I6sPYyvw0fRXCVYA0lvLVh7gN3+n9099gJHjTG7jDFXRDJQkVBkFGSSOSqLIwNkPixfp4+9f99N6TVjItIvvavEtCRGzSuhYvG+mOtCISIiA8vRPY3s/+cepn5kZlT+xnlTErnw85dQv7WWihdjY6ah6tWH8Hg9Z78gloGhxxYsa22vXQiNMVnAbcDDwNQwxSXSbwVzijiy9rDbYYRF3ZYaWmpOUrYw8q1XAaXXjqHipX0c23OUYeNzonZeEREZXDY/vB5vipdpd86K2jkn3DKJdd9fzdoHV1N2/VjXW7EOLjvAiJn5JEUhwZToCWkMljGm25lNjTELrbXN1tpfAk1hjUykn/LnFHLiUDMnquN/wuGKl/bhSfBQes3oqJ2zeH4pAAeXxU4fdRERGVhOHzvNrqd2Yt49OapzLyYkJjDns3OdVqyX3K2a29p0mtqNR87+3ZWBI9QiF383xrzpDs8YczPwaOC5tfayMMYl0m8Fs98YhxXvKhfvI39OIWm5kase2FV26RCyS4dwcOmBqJ1TREQGl/LHt9N+qp2pH54Z9XNPuGUS2WVDWPfga652hz+0ogpfp49RVyrBGmhCTbC+ALxkjCkEMMa8E/g5cFOkAhPpr+HTRuBN8cb9fFgnqpup21JL2XW91ZoJv1HzSji0sorO9s6on1tERAY2X6ePbb/dROHFIxk+NS/q509ITGD2Zy6mbkstlS7O/Vi1pJKkjCTyZ2v81UATUoJlrX0a+Daw2BjzceAnwPXW2vWRDE6kP7zJXvKm58d9C1blov0AUR1/FTBqfilnms9QuzH2JmQUEZH4duDVCo5XNDH1IzNci2HCLZPILhnC2gdXu9aKVbW0kpGXF+NN8rpyfomccyZYxpiE4AfwO+C3wFeBhcA2/3KRmJM/u5C6LTV0nOlwO5R+q1i0l+zSIQybEP1CE6MuLwaPM/hWREQknLb9ZhNpeemMect412LwJnmZ/dmLqdtcQ+Xi/VE/f1PFMY5XNDFK468GpJ4SpHagrcvjASAf2BS0XiTmFFxYSEdrB/Xb4nPC4baWNg4uP0DZwjGuVDhKzUkjb3o+VUtV6EJERMLneGUTlS/vZ8od0/Emu9tyM+HdgVas6I/FCkx2rAIXA1NPCdZoYEyXx+ig5YGfIjEn0J+5Jk7nwzq47AAdpzsouy763QMDRs0roWZdNW0nzrgWg4iIDCw7HtuKJ8HD5DumuR0K3iQvF3z6Iuo21XDgX9FtxapYtI/skiEMHTcsqueV6DjnPFjWWn11LXErsyiLjKJMjqyrZvpH3Y6m7yoW7SU5K5nCuSNdi2HUFSVs/PFaql8/TMlVZa7FISIiA0NnRyf2zzsouaqMzMIst8MBwLxnMut/sIa1D66m5OrRUek10nbiDIeWH2DKh2a4Pg+XREZPY7C+b4wp6GlnY0yBMeb74Q9L5PwVzCmKy0IXvk4flYv2U7ygzNXuEwUXFpGQmMDh1Qddi0FERAaOg0srOVl9gom3TXE7lLO8yV4u+O+LqN1whKpXK6JyzgOvVtDR2sHo693rpSKRdc4WLMACrxtjdgJL/c+bgSxgAnAlYID7IhyjSL/kzy5k7992cbLmBBn5mW6HE7LazTW01J50pTx7sKSMJPJmjKD6tUOuxiEiIgPDzse3k5qT6kp13J5MvG0K63+4hrUPrKZ4QVnEW5X2v7iXlGGpFF7sXi8ViaxztmBZa38OjAV+6f/5RZzy7HfjjL16BBhnrf1VFOIU6bOCOfE54XDlon14EjyUXjO6940jrHDuKGo2HqH9lOrZiIhI/50+eor9/9zL+HdNcr24RVfeZC8XfOoiatZXny0+ESmd7Z1Uvryf0mtGk5CoYtwDVU8tWFhr24Cn/A+RuJI3fQQJyc6Ew26Wgu2rikX7KLiwiNScNLdDoeiSUWz66TpqNh5h5KXFbocjIiJxavczls4zHUyKoe6BwSa912nFWvfgaoqvLI1YK9ahlVW0Hj2t7oEDnFJnGbC8KYnkTcuLq0qCJw43U7+11vXugQEFFxWBB3UTFBGR81L+xHaGT81j+LQRbofSLW9KIrM/dRFH1h6O6ByQu58uJykzOSZ6qUjkKMGSAS1/ThF1m2voaIuPCYcrFu0DoHRhbCRYqUNTyZ2cx+HXVOhCRET6p2FHHXWba5j43thsvQqY9P6pZBRmsu7B1RGZF6v9VBt7/76bsTePJzEtKezHl9ihBEsGtII5hbSfaqdhR73boYSkYtE+ssuGMGx8jtuhnFV0yUiOrDscN0mqiIjElvLHt5OQlMD4d05yO5QeeVMSueBTF1K95hCHlleF/fgVi/fTduIME94V2++DnD8lWDKgnZ1weN1hlyPpXdvJNg4tP0DZwrExNS9G0SWjaG9pp35LrduhiIhInOlo62DX0zspWziWtFz3xxb3ZtL7p5FRkMGa+1eGvRVr11M7Sc/PoOiyUWE9rsSekBIsY8wzxpi3G2PUnilxJXNkFhkFGRxZG/sJ1sFllXS0dlB2bWx0DwwIlJE9vErdBEVEpG8qF+/nVP2pmO8eGJCYmsiFd19Kzbpq9j6/O2zHbT7UTOWifZhbJ5PgVfvGQBfqJ7wS+CpwxBjzsDHm0gjGJBI2Ho+HgotHcnj1oYj0pw6nikX7SM5KpnBubM2LkT4igyGjh8ZFkioiIrGl/IntpI/IoGRBmduhhGzie6eQM2k4q7++nPbW9rAcc8cftuDz+Zhyx/SwHE9iW0gJlrX2e9baC4B5wDHgcWPMHmPMV40xqjMpMa1o7ihOHj5BU2WT26Gck6/TR8WifRRfVRZz84MAFFxYxJF11TGfpIqISOxoqT1J5eJ9THj3pLia8ynBm8BlX5vP8QNNvP7j18/7eB1nOtjxh62UXjuG7JIhYYhQYl2frnZr7XZr7ZeBDwAngXuBDcaYl40xMyIRoMj5KrrEaRGqXBbZyQPPR+3mGk7VtcRMefau8ucUcqq+heMxnKSKiEhs2fXUTnwdvrjpHhis+MpSSq4uY9l9y2ipPXlex9r9TDmn6lqY9hHdKg8WISdYxvENY8xe4BfAk0AZkA+8ADwbkQhFzlPOxOGkDE2J6QSr8qW9eBI8lF4dm/NiFMwpAqBmXfzMKSYiIu7x+XyUP7md/NkF5EzIdTucfrns61fSfqqdFfcs6fcxOts7Wf+DNQyfNoLiBWVhikxiXahFLtbhjMPKAd5nrZ1krf2WtbbKWnvaWvv9iEYpch48CR4K546K6QSrYtE+Ci4qIjUnNiss5UzKJSkjiSNxUI1RRETcV7e5hsadDUy8barbofTbsPE5zPvKPPY8a6l4aW+/jrH7mXKa9h9jzufmxlSFYImsUFuw7geKrLWfsNau6W4Da21sfvUuAhTNHUnj7kZO1pxwO5R/03yomfptdTHbPRCc/ugjLihQC5aIiISk/PHteFO9jHuHcTuU83LZ3ZeRMymXpV94mVMNp/q0b9vJNlZ/awV500cw+nqVLBhMQk2wngHajTEJwY9IBiYSToWXOHNOVK8+5HIk/65y0T4AyhbG9n++BXOKqN9eR9vJNrdDERGRGNZ+up3dz5Qz5sbxpGSnuB3OefEme7n6JzdwqvE0//rEP/F1hl7saf0P13Dy8Aku/+YCPAlqvRpMQk2S2oG2rg9jTKsxZr8x5nvGmMxIBSlyvvKmjSApI4nDr8XeXE4Vi/YyZPRQho4b5nYoPcqfU4ivw0ft5iNuhyIiIjFs/4t7aW1qjcviFt3JmzaCy79xJQdeqeD1764KaZ/qNYfY+OO1mFsnn51PUgaPUBOsTwKvANcBk4CFwL+Au4GPA5cCP4xEgCLhkJCYQMllJRx+LbZasNpOtnFoRRWl142J+b7ZBbMLARW6EBGRnpX/aRuZo7IYdUWJ26GEzZQPTWfS+6ey/vtr2PLLDT1ue+JwM4vu+gdZxdlc8a0FUYpQYkliiNt9FrjAWhuo0bzLX/hivbV2rDFmK7A+IhGKhEnJvBL23vMqp4+eInVYbBSTqFpaSUdrR0yPvwpIzUlj6NhhmnBYRETOqflQM1VLK5nz2bkDqlucx+Nh/gPXcProaVb87xJaalu46EuXkuB9c1tFU8Ux/vH+Zzlz/AzveO49JGfFdxdJ6Z9QW7CygfQuy9KBwGxpR4DYuGMVOYfSeaUAVK+JnQShYtFekrNTKJwbH90HNOGwiIj0xD65HXww8baB0T0wWEJiAtf98i1Mvn0aG370Ok9d+0f2/G0XJ4+coGn/MTb+eC1/ueaPnKo7yVv+9HaGTxvhdsjiklBbsH4PLDbG/AioAkYB/w38zr/+OsCGPzyR8Bl50Ui8KV4Or6yKiWo+vk4flYv2U3JVGd4kr9vhhCR/TiHlT2zn+P5jDBkT22PGREQkunydPsof387Iy4vJLh3S+w5xyJvkZf6D1zBqfimr/m8pi+78+5vWFy8oZd63r9LfyEEu1ATrC8Bu4DagCKgGfgr80r/+VWBJTwcwxjwIvAtncuJp1tpt/uUVwGn/A+CL1tqX/OvmAj/HaR2rAD5gra0NMWaRN0lMSaTgoiIOrqhyOxQAajZUc6q+JSaSvVAVzHHGYR1ZV60/HiIi8iaHVx/keGUTF37hErdDiSiPx8O4t05gzFvGUb3mEEfLG0hI9lJwYRE5Jj4nVZbw6jXBMsZ4gXuBb1prH+luG2vt6e6Wd/Es8CNgeTfrbgkkXEHn9QCPAR+y1q4wxtyDMx/XR0I4l0i3Rs0rZc03V9BS10J6Xtder9FV8dI+EhITKL6qzNU4+mKYcSYcrt14BPOeyW6HIyIiMaT8T9tJykxmzE3j3Q4lKhK8CYy8tJiRlxa7HYrEmF7HYFlrO4BP4JRm7zdr7QprbV+aDuYAp621K/zPHwHecz4xiIya51Q0OrTigMuROGVsCy8ZSerQVLdDCVmCN4G8mfnUbFSpdpGB4HTjKbb/fgurvraMTQ+vp6nimNshSZw609zK3r/vYvw7DEnpSW6HI+KqUItc/A74WATj+KMxZosx5mfGmKH+ZSVAZWADa209kGCMyYlgHDLA5U0fQcqQFA4uczfBatp3lKO2IeYnF+7OiJkF1G+ro+NMh9uhiEg/+Xw+tv9+C7+/4Fcs/fzLbPnFBlbdu5Q/XfJbVt67lI42/X5L3+x5bhftLe0DZu4rkfMR6hisi4BPGmPuxilycbaEmLV23nnGcIW1tsoYk4Izl9ZPgA+c5zHPys3V/MfyhvyCIYy5egyHl1cxfHima3NP7XnM6RE7+33TGZaX5UoM/TX+ytFs+uk6OqtbKJhT5HY45yUvzt57iZzBdC34fD5e/uLLrHpgFWOuHcO1D1xL/vR8jlcdZ9k3l7Hh4fWc3N/Erc/eSmJKqLcJA8tguh7CZc9fdjJ80nCmXj8h5ud17CtdD9JXof7P+UveKGgRVoFug9baVmPMz4C/+VcdAEoD2xljhgM+a21jX47f0HCCzk6VlBbnP8i6umbyLi5i5zM72ft6lWuFGrY9tYOcScNpz0ykrq7ZlRj6K3WsUxnK/msvSaXx+0cncD2IDLZrYfPPN7DqgVVM+dAM5t1/FZ4ED/X1JyAtgbn3XUnWhByWfv5l/vy+p7nm4RsG3M1ybwbb9RAOjbaBg68d5JKvXuFcSwOIrgcJSEjwhNxwE1KCZa39Xe9b9Z0xJgNItNY2+Yta3AZs8q9eD6QZYy73j8P6GPDnSMQhg8uo+c44rKplB1xJsE43nqJ6zSEu+NRFUT93OGSOzCItL52ajUeY6nYwItInNRuP8NrXlzH6+rFnk6uuptwxnVMNp3j92ysZeXkxkz8wzYVIJZ5s/91mEpISBuTcVyL9EdIYLGOMxxjzUWPMK8aYLf5l84wxIRedMMY8ZIw5iDOH1svGmO1APrDEf8xtwATg/wFYazuB24GHjTG7gfnAl/rw2kS6NWT0UDJHZbk2DqvyX/vxdfgoWzjGlfOfL4/Hw4hZBdSq0IVIXOlo6+DVT79E+ogMFjy0sNvkKmD2f1/EqCtKWHHPqzRXHY9ilBJv2k62Yf+8k7E3jydtuLvVeUViRahdBL8OXIszRipQqv0g8ANCbFWy1n4K+FQ3q2b1sM8qQF+dSVh5PB5GzSth/z/20NneSUJiqLVewqPipX2k52cwYmZBVM8bTvmzCqhcvI8zza0kZ6W4HY6IhGDbbzfTuLOB6x99a6/VSz0JHhb86Doev+xRVn1tGQt/dVOUopR4s/vZcs4cb2XKh2a4HYpIzAj1zvJDwE3W2id4o8DFfiA+v4KXQa/06tG0NrVSs646qudtP9VG5cv7KVs4tsdvj2PdiFkF4IO6zTVuhyIiIWhtOs3a775G8YJSRt8QWvXSrFHZzPrkhez92y4Ov3YwwhFKvNr+uy3kTMyl8OKRbociEjNCTbC8QGDUA3HfTwAAIABJREFUYiDBygxaJhJXiq8sJSExgYrF+6J63sp/VdDe0sa4t06I6nnDbcTMfABqNqiboEg82PqrTZw53sol91zRp6IVsz4xh4yCDF7/zqoIRifxqnbTEeo21TDlg9MHXTEUkZ6EmmC9AHzfX0odf0GKbwDPRyowkUhKzkqh6JJRVEY5wdr7/C5Sc9MounRUVM8bbqk5aWSXDdE4LJE4cKa5lc0/X0/Z9WMZPm1En/ZNTEti5n9dyOFVBzm8Wq1Y8mbbHt1MYnoiE9492e1QRGJKqAnWZ4EioAkYgtNyVQp8MUJxiURc6XVjaCxv4HhlU1TO136qjYqX9jHmxnFRH/cVCfkXFFCjBEsk5u14bButx1qZ/ZmL+7X/5A9MI214Out/sCbMkUk8a6lrYffT5Uy4ZTIp2RqLKxIspLs8a+1xa+3bgRJgLjDWWvsOa60mBpC4VXbtaAAqX45OK9aBV5zugWNvju/ugQEjZhVy8vAJTtaop7BIrPJ1+tj+6GYKLioif1b/CuskpScx/T9nUfVqJUd392kqShnAtj+6mY7WDmbcdYHboYjEnP58jd4ApBtjxhhjVORC4taQMcMYOnYYFYuik2DtfX4XqTmpjLy8OCrni7TAOKzajSp0IRKrqpZW0rT/GNM+MvO8jjPp/dNISPay7bebet9YQlaz8QivfnYRf5z7G35R9hC/nvBTnlr4R9Z8eyVN+4+5Hd45tZ9uZ9tvN/1/9u47POoyX//4e1KANAKkJ6SS8NA70kEQBcSGomtZdd3q1nO2nD3rHs/24raf29T17K6uu4u9YAMFBanSO4RvgCSkV1pIQtrM748kbhYpAWbmOzO5X9c1F8mU57mNk8l85mmkX5dF/5wBdscR8TndPQdrvjGmFKgADne5HPJgNhGPS782i9INJTSfbvZoP61nWil8N5/MAJkeCBA7Mh5HsEPrsER82P6ndxMWG07Wwuwraic8LpxBN+ZgvXCAFg+/XvYEDVX1vPPAG7wy71kOL81jwOAYht83mpxbhxDcK4Qdv9/Cs1Oe5r0vLffJWQJ5L+fSWNPImAc1eiVyLt09B+sx2je1eMayrEYP5hHxqqzrs9n9p+0cXZFPzq1DPNbP0ZX5tNS3kH2T8Vgf3hYaHkrM0FjtJCjioxoq6ylckc+Yr0wguHd3/9yf38hPj+HQKwfJe+Ugw+8f5YaEPVP1nkrevnspTSfPcNVD0xj12TEfO0+wvuI0e/5vB7v/byeF7x5h1q/mevRv1KVwOV3sfnIHsSPiSJ4WGDMyRNytux+l9weeVHElgSbxqmQiEiM4/EaeR/uxXjxARGIEKTMC649R/NhEqndV4HK5Ln5nEfGqQ69buJwuzB3u2eEtYUISA4bEYL14wC3t9USVO8pZevOLBPUKYvGKe5jw9UnnPKw9IjGSKd+byZ1r72PA0FhWPriMtd95n7aWNhtS/7v8tw9x3KplzJcnaGt2kfPoboH1V+ABTwYRsYMjyEHWjYMper/AY9MEG6obKHq/kMGLhxIUHBjTAzvFj02k6WSTT68VEOmpDr2SS+zIeAYMjnFLew6Hg8GLh1KxtYyT+cfd0mZPcjL/OG/fs5SwmHBufftOYobGXvQx/bL6c/NrtzP6wfHse2o3y+9/g5b6Fi+kPTeX08XWX2+iX3Z/sm8JnBkZIu7W3Xd7k4EnjDF5xpi1XS+eDCfiDdk3DaatqY3Cd494pP3DSw/ibHUG5Dkh8R27klVpmqCITzlx5DhVOysZfJt7p5UNXjwUHGC9nOvWdgNda2MLyx94A1wubnjhViKTorr92ODQYKb9aBZX/2YuxasKeWPxS5w5bs+EovxlhzmWW8P4r08KuA8MRdypu78dfwE+D/yU9tGsrhcRv5Y4MZmIpEiOeGiaoPViLnGj4rv1aaW/GWBiCAkP0XlYIj4m7+VccED2IveOMkQmRzFwehp5L+VqavAl2PjDtRzLrWXu49fTb1D/y2pj2L2jmPfXG6jeW82bd7xK08kzbk55YS6ni22//pDorH7kLPKN9WAivqpbq14ty3rG00FE7OIIcpB902D2Pr2bM8ca6TMgzG1t1x6opnp3JdN+fLXb2vQlQSFBxI1K0E6CIj7E5XJxeKlFyrTUSxop6a7Btw9l1dfepXJbOYkTk93efqAp/uAo+57azegHx5M2J+OK2spamMP8p27knQfe4K07X+XGF2875xouT7BePEDtgRrmPrEgYHbDFfGUC/6GGGN+f9b3nznr+1c8EUrE28wnhuNsbiPvFfdOe9n3tz0E9w7G3D7Ure36kvgxidTsrfKJxdciAscPHePEkeMMuiHHI+1nLhhEUGgQR97SSS0X09bUytrvvE90Zj8mfXeaW9rMuC6LeX+5gerdVbx152seP2YEoKW+hc0/W0/82ASNXol0w8U+gvjUWd//6qzvr3VfFBH7xI6II250ArlL9rlt2ktzXRN5Lx0g+xbj1lExXxM/LpG2pjaO5dbYHUVEgILl7etJM+YP8kj7vaP7MHBmGvlvH9I0wYvY9cR2TuafYMbPZxPS58q3yu+UuSCba5+8nsod5Sy75zWPb3yx64lt1FfUM+2HV+MI0s6BIhdzsQLr7N8i/VZJwBp69whqD9RQvafKLe3lvZRLS30LIx4Y7Zb2fFVCx0YXOg9LxDcUvnOY+LEJRCa7f3pgp6wbcqgrOkXNXve8XgaixpoGdvxuC5kLBpE2J9Pt7Q+6cTBzn7ie8s1lLLtvKa2NnimyThw5zo7fb2HQTYNJmpzikT5EAs3FCqyzP5rSR1USsHJuNQT3CebAP/ZecVsup4u9T+8mbnTCRzvtBaqotL70iQmjapcKLBG71VecpnJ7BZkLsj3aT+b8bBzBDk0TvIAdf9hKa2Mrk/5nusf6yLnFMOcP8yhdX8zy+9+g9UyrW9t3OV188I0VBPcKYfpPrnZr2yKB7GLj1SHGmNn8a+Tq7O+DPZZMxMt6R/ch59Yh5L10gEkPTSMs5vKn9RWuyOe4Vcs1j80P+IMYHQ4H8WO00YWILyh4p316YKaHpgd2CosJI3nqQPLfOsSkh6YF/OvcpaqvOM2+p3cxePFQt51Ddj7m9mE4W52s/o8VvPuZN5n/9E0E93LP27N9T++i7MNSrn70WiISI93SpkhPcLERrCrgKf61JXvtWd9rboAElDEPjqe1sZX9f9t92W24XC52/G4zfdOie8xi4PixiRw7WOuVxdYicn6F7xwhOrMf/Y1n39QDDFqYw4nDxzmed8zjffmbnX/ciqvVxYRvTfZKf0PvGsGsX8/l6MoCVnzuLbdsOlS1q4IN319L2jUZDL17hBtSivQcFxzBsiwrw0s5RHzCgCGxpM3NZO9fdzLmyxMua1Fy6fpiKrdXMPOX1/SYrWwTxiWCC6r3VJIyNdXuOCI9UmtjC6Ubixl+/2ivjCilzxsE31nF0ZX5DPBCQecvzpw4w4F/7iN7kSE6o5/X+h1+3yicLW2se2g17zzwJtc9uZDQiNDLaquhuoF3P/sW4XHhzH1sgUYoRS5Rz3j3J3IJxn55Ao01jZc1iuVyutj0k3VEJEUy5M7hHkjnm+LHtK8zq9pZaXMSkZ6r7MNS2s60kTY73Sv9RaVEETMslqPvFXilP39x4O97aG1oYcwXJ3i975GfGcvMX1xD0XsFLF30Ig2V9ZfcRnNdE2/f9SqN1Q3M++sNAb0LroinqMASOUvKtFRSr05n26ObaTp55pIee+i1g1TtrGTSQ9PcuiWvrwuLDScqra/WYYnYqGh1IcG9g0maPNBrfaZfm0X55tJLfq0MVG3Nbez9y04GzkwjdkScLRlGPDCaBc/cxPG8Wl66bgmlG4q7/diG6gbeWPwytQdqmPfXG0gYl+TBpCKBSwWWyDlM/t8ZNB0/w/ZHN3f7Mc11TXz443XEjozH3DHMg+l8U/zYRBVYIjYqXl1I0uSBhIZf3rSwy5E+NxNXm4viD456rU9fdnipRX1FPWO+NN7WHBnzBrHozTsJDQ/l9VtfYv3/fsCZExcugks3FvPK/Gc5drCWeU/dSPrcLC+lFQk8KrBEziFuZDxD7xnB7j/toLKbRcOG762hoaKemb+Y0yMPYkwYm0hd8SkaqhvsjiLS49SV1nE875jXpgd2SpiQRO/+fShcke/Vfn3V/mf20C+7P6mzM+yOQtzIeG5/75MMv28Ue/5vB0smPcXGH6yhalcFzlYn0L5ur2hVAcvvf53Xb3mJoJAgbl56h8d3oRQJdOedw2SM6VbxZVmW031xRHzH1B/MpGh1Ie9/5R0Wv3MXvaJ6n/e+h1+3yF2yj7FfnUjihGQvpvQd8eM61mHtqiDjWn3yKeJNxasLAUibk+HVfoOCg0ibk0HRqkKcbU6Cgnvu57bHDtZQsbWMqT+c5TObQoRGhDLrV3MZfv9otv3mQ3Y/uYNdj2/HEeQgNCKU5rr2nV97R/dmwrcmM/bLEy97YwwR+ZcLLRJp5cIHCzs6btdZWBKQekf34Zo/zOfNO15hxefeZsHfbz7n2SLlm0p5/6vvkDQphau+PcWGpL4hbmQCjiAHVTtUYIl4W9GqQiKSIr2yPfvZMq7N4tArB6naWdFjP2ACOPDPvQT1CvbJKeKxI+KY//RNNFTVU7qhmNrcGlpONxMWE07sqHgGTk8lJEyFlYi7XKjAyvRaChEfNXBGGrN+NZcPvrGSt+56lWv+OJ/IpCig/bwr68Vc1vzXSqJS+jL/6RsJ7t1zNrY4W2hEKP1NjNZhiXiZs9VJydoism7ItmXkJHV2Oo4gB0WrCntsgdV6phXrxQNkLcy+okPqPS08PoKcRUPIWWR3EpHAdt53g5ZlacWqCDDskyMJ7hXMB99cybNT/kbGvCzCYsIo31RKzb5qkialMP/pGwmLDbc7qu0SxiVSsPwwLpfLZ6bIiAS66r1VNJ9qInWmd9dfderTP4y4MQmUrCniqm9PtSWD3fLfOkTTiSaGfXKk3VFExAd0++N2Y8xNwCwglvbpgQBYlnWfB3KJ+BRzxzASr0pm+283U7z6KM11zQwwMVz96LUMuXN4j1530FX82ERyl+zj1NGTXj1g01ccy6tl/zN7KF1XxOnSOkLCQokdGUf2zYacRaZHj3CK55R1bMOdPM1727OfLXVWOjt+v4WmU0307nv+9aqB6uDz++mbHk3KNB20LiLdLLCMMd8HHgSeB24HngTuBl7wXDQR3xKd0Y85v51ndwyfFj+288Dhih5VYLU2trDpp+vZ+5ddOEKCGDgjlZQZabTUNVO2qYRVX3uX7Y9uZuYvryF1lj2jDBK4SjcU0y9nABEJkbZlGDgrje2PbqZsQzGZC7Jty2GH+srTlK4vZvzXJ/XIHWRF5OO6+7H7p4FrLcv6OtDc8e+NQIangomI/xkwJIbgPsFU7eg567AaKutZuugl9vx5J8PuG8X9uz7HDc/dyoyfzmbO7+dxz+ZPs/C5RTiCHLx5xytse3QzLteF9g8S6T5nq5PyTaWkTLVv9AogcUIyIeGhFK/peasLDr9m4XK6yLltiN1RRMRHdHe+Sj/LsvZ1fN1sjAm1LGuLMWaWp4KJiP8JDg0mbmQCVbsq7Y7iFY21jSy99SVOl55iwd9uOucn9w6Hg/RrMkmeMpAPvrGSLT/fwJljjUz7ke9s5Sz+q3p3JS31LaRMt3dqWnCvYJKnDqRkTZGtOeyQ98pB4kYn0D97gN1RRMRHdHcE64gxZnjH1/uALxpj7gWOeyaWiPir+HGJVO+p/Oggy0DV2tjCW3e9Sl3xSRY+u+ii06JCw0OZ+8QCRn1+LHue3MHmn23wUlIJZKWd66+m2DuCBe3rsE4cOU5dySm7o3jN8cPHqN5dyWCNXolIF90tsB4GOg/XeAj4GvAr4BueCCUi/it+TAKtja0cO1hrdxSPWvc/q6neVcl1Ty4kZWr3Rg8cDgfTfnw1w+4dyY7fbeHg8/s9nFICXemGYvqbGMLjI+yOQuqsNIAeNU3w0Mu5OIIcZC8ydkcRER/SrSmClmUt6/L1ZqBnrWAVkW5L+Giji3JiR8TZnMYzrJcOkPvPfYz/+qRLXtDvcDiY8cgcThae4INvrmTAkBjixyR6KKkEsraWNso3lzHkE75xsG1/E0NEYgTFHxxl2D2Bv125y+Ui79WDpExPtXWDERHxPecdwTLGZHT5Out8F6+kFBG/0TezH7379Q7YdVgNlfWs/+5qkialMPG/plxWG8Ghwcz7yw2ExYWz8sFltJxudnNK6Qmqd1XS2mD/+qtODoeDgbPSKV1XhMsZ+Bu51Oyr5lThSXJu1fRAEfl3F5oiuLfL14eBQx3/dr0c8lw0EfFHDoeD+LGJVAboToLrHl5N65lWrn70WoJCLv/8sz79w5j72AJOFpxg3cOr3ZjQ/7hcLu2seBl8af1Vp9RZ6Zw5doaafVV2R/G4/LcO4Qh2kDFvkN1RRMTHnHeKoGVZUV2+1imqItJt8WMT2fG7LbTUtxAaEWp3HLcpWlXAkdfzuOo7U92yY1jKtFTGfnUiO3+/leybDGlzMq48pJ84ceQ4e/+yk6LVhdQVnSIoNIgBQ2LIvmUIw+8dSWhkL7sj+rzSDSUMGBpDWGy43VE+0jmaVrq+mLhRCTan8awjbx0ieepAwmLC7I4iIj6mW4WTMeb357n+t+6NIyKBIGFsIq42FzV7A+dTbGebk40/WEt0Zj/GfmWi29qd+K0p9BvUn7Xffp+Whha3teurWupbWPc/q3l26tMc+Ode+mUPYPSXxjP8vlHgcLDx+2t4durTFK0qsDuqT3O2OqnYWkbyZN8ZvQKISIykX3b/j0bXAtUxq5YTh44xaGGO3VFExAd1d2TqU+e5/l435RCRANK5aUPVrsCZJmi9cIBjB2uZ/PB0gnsFu63dkD4hzPr1XE4VnWTbbza5rV1fVFdax6sLn2Pvn3cy4lOjuXf7Z1n4z1uY8vAMpv34aha/cze3vn0nvfv34a27XmPPn3fYHdln1R6oprWhhaRJKXZH+ZiUaamUfVga0Ec15L/dvkIi83rt+SUiH3fBXQSNMZ/uvF+XrztlATUeSSUifi08IYLIgVFU7gyMAquloYUtv9hIwvhEsm5w/yfWKdNSGXL3cHY9vg1zxzAGmJiLP8jPnMg/ztKbX6S1oYUbnr/1vNMhEycmc9uyu3nvy8tZ/z8fEBQcxIhPj/FuWD9QvrkUgMSrkm1O8nEp01PZ/8weqvdUkjAuye44HpH/1iESJyYTkajdA0Xk4y42gnVvx6VXl6/vBT4JDALu92g6EfFb8WMSqQqQjS72P7OH+vLTTPneTBwOh0f6mPK/MwmN6MXG76/xSPt2qis5xRuLX8bZ6mTRm5+46Fqz0IhQrvvzQjLmD2LtQ6soWlXolZz+pHxLGZEpUUQN7Gt3lI9JnvqvdViB6GThCWr2VXvkwxYRCQwXLLAsy5ptWdZs4JHOrzsucyzLusuyrMCezyIily1hbCKnjp6ksbbR7ihXpK2plV2PbyNleqpHd2sLiwljwjcnU7SqMKDWHzWfbuatu16j+VQzN754GzHDunc2WnBoMNc+cT0DhsSy8ovLqCut83BS/+FyuajYXOqTo1cA4XHhDBgSE7AFVv5b7dMDszQ9UETOo1trsCzLehjAGBOvc7BEpDsSJrRPDarcXm5zkitz8PkDNFTWM/4/J3m8r5GfGUN0Zj82fG9NQKxfcblcrPrau5w4dIz5T91I3Mj4S3p8aEQoC56+kbamNtZ8c6W2cu9QV3yK+op6kq7yvfVXnVKmpVK+pZS25ja7o7hd/tuHiRsVT9/0aLujiIiP6u4ugvOMMaVABToHS0S6IW50AkEhQZRvKbU7ymVztjrZ+YetxI9LJGWG5w9zDe4VzNQfzOR43jH2P7PH4/152q7HtpH/1iEm/+8MBs5Mu6w2orP6M+V/p1O0qhDrhQNuTuifKraUAZDkoyNYAMnTUmltaKUqQNZhdmqoqqdyRzmZCzR6JSLn191dBB8HfgxEWJYV1OXivq20RCSghIaHEjsqnsqtZXZHuWyHl1qcKjrJ+P+c5LG1V2fLmD+I5KkD2fabTbScbvZKn55QvaeSzT/bwKAbcxjzpfFX1NaIB8aQeFUyH/5oLc11TW5K6L/KN5cSGtmLAcNi7Y5yXilTB4KDgNuuvWhVIbgg/TpN4BGR8+tugdUfeNKyLP9eTCEiXpU4MZnKnRW0tfjfNCGXy8WuJ7bT38SQ4cU3Uw6Hg8kPT6expoHdf97ptX7dqfVMK+9/5R36xIQx69dzr7g4dQQ5mP6Tq2msaWTH77e6KaX/Kt9SRuLEJIKCu/sn3Pv6DAgjZlhcwBVYhSvyiUiMIHZE99YSikjP1N1X578CD3gyiIgEnqSrkmk70+aXBw5XbCmjZm8Voz47FkeQd0avOiVOSCZj/iB2PbaNM8f973OtLY9s4NjBWmb/9jr69A9zS5vxYxIZvHgou/+0nbqSU25p0x81nTzDsYM1Pr3+qlPK9FQqtpbR1tRqdxS3aGtuo3h1IenXZnltRFtE/FN3C6zJwBPGmDxjzNquF0+GExH/ljixfY1IxVb/2+hiz1920ju6N4MXD7Wl/0kPTaO5romdf/CvEZvKHeXsemI7w+4dSfo1mW5te9J3p+Fyunr0KFbFtnJwQdIk311/1SllWiptZ9qo8PONbjqVfVhCS32LV0e0RcQ/XfCg4S7+0nG5LMaYXwO3ARnASMuy9nVcPxh4BogBaoH7LMs6dLHbRMQ/RCRGEpXal4otpYz+wji743Tb6bI68t86xOgvjCM0ItSWDDFDYxm8eCh7/rKTkZ8bS2RSlC05LoWzzcna/15FeHwEU38w0+3tRw3sy5A7h5P77D4mfGNSjzzktXxzKY5gB/Fjff8A3+QpKTiCHJSuLyZlquc3ifG0oyvzCe4TTMqMy9uwRUR6ju5u0/7M+S7d7GcpMBM4etb1fwIesyxrMPAY8GQ3bxMRP5E4MZmKrWV+tcX2vr/tBheM+PQYW3Nc9e2puNpcbPvNZltzdNeBf+ylencl0344i15RvT3Sx9ivTsTV5mTXY9s80r6vq9hSRtyoeNsK/0vRO7oPsSPjKQuAdVgul4vCd/NJmZ5GaLjv/+xFxF7d3abdYYz5nDFmlTFmT8d1M40xd3Tn8ZZlrbcs699eYY0x8cA44LmOq54Dxhlj4i50W3f6ExHfkTgxmfqKeuqK/WPdTOuZVg78Yy8Z12XRN83ec276pkcz7N6R5C7Zy8n847ZmuZjGmgY2/2w9ydMGkr3IeKyf6Ix+5Nw6hP1/3+OX69OuRFtzG5U7ykn0g/VXnVKmp1KxrZyWhha7o1yRE4ePc+roSTKu1fRAEbm47k4R/BFwLfBb2keWAEqAR4EXL7PvVKDUsqw2AMuy2owxZR3XOy5wW/WldBIT0/OmkMj5xcX5/jSrQDN0XjbrHlpFg3WcQeMH2h3n35zr+bBnyR7O1DYy/VtTfeL5Mu+nc7GeP8Du323ltmdvszvOeb3x0GpaTrdw85M3Eh/f16N9zXl4Fnkv5VL0+iGm/dc0t7TpC/+vL6ZkcwltZ9ow1w7yi7wAwxYObt+s5dAJkuf6T3Fy9s/30N/3AjDuzpFE+8nPXtzHX37fxHd0t8D6FDDWsqwaY8wTHdcVAD7/allbexqn03+mJonnxMVFUV1dZ3eMHicoMZzQiFDy3j9C4rUZdsf5yPmeD5sf30rfjGgiR8T6xvMlGEZ9YRzbH93M0M+OIW5kvN2JPqZiWxk7/7qTMV8ajyM+zOM/t6CkcJKnDmTzH7aQfe+IK96u3F9eG3LfaV+GHGEG+EVegPAhA3AEO9j/tkXUaP+YhHKu58P+13KJGRZLc1iQ3/zsxT385fVBPC8oyNHtgZvu/lUKBk53fN1ZrUR2ue5yFAMpxphggI5/kzuuv9BtIuJHgkKCSBiXRMUW3z9w+MSR45RtLGHoPSO9vjX7hYz58gR69+/D5p+utzvKx3RubBGRFMmEb03xWr8jPzOGuuJTFL6b77U+7Va+pYy+GdGEJ0TYHaXbekX2In5sIqXr/ffPd9PJM5RvKtXhwiLSbd0tsJYB/88Y0xva12QBPwbevNyOLcuqAnYBd3VcdRew07Ks6gvddrn9iYh9EicmUXughubTzXZHuaDcZ/fhCHYw5M5hdkf5N7379mbc166iaFWhzx3ceuCZPdTsrWLaj2bRK7KX1/rNXJBNZEoUe//qn4cxXyqXy0XFljK/OP/qbCnTU6naWeHzv//nU7T6KK42l9ZfiUi3dbfA+gbtI0gngWjaR67Sge9058HGmN8bY0qAgcB7xpj9HTc9CHzVGJMHfLXje7pxm4j4kcRJKbicLp8exWpraePg8/vJuDaLiATfW7s58tOjiUiKZNNP1vvMjowN1Q1s/vkGBs5IY9BNg73ad1BIEMPuG0XpumJOFpzwat92OFV4ksaaBhKv8v3zr842cHoarjYX5ZtK7I5yWY6uyKdPTBjx4xLtjiIifqJba7AsyzoF3NKxu186UGxZVkV3O7Es62vA185x/UFg0nkec97bRMS/JE1MJigkiNKNxaTNybA7zjkdXZFPY3UDQz850u4o5xQSFsrE/5rCB99YScHyI2Rdn213JDb9eB0tDS3MeGQODof3p1QO+cQwtjyygYMv7GfSd9yz2YWvqtja/uFE5+Hd/iRxYhJBvYIpWVdMuh9tdAHtU2CPvl9A+tzMK17rJyI9R3e3ad8J7dP6LMva2llcGWN65kEkInJJQiN7ETcmgbINvvsJ9oEl+4hIivTZAhBgyJ3D6Zfdn80/W4+zzWlrlvLNpRx8fj+jvzie/jkDbMkQmRxF2uwMDj6/3/afh6dVbC2jV1QvBpgYu6NcspCwUBInJvnleViV28ppOn6GDK2/EpFL0N2PYz72UWnHOiy94ohIt6TxoRY2AAAgAElEQVRMT6VqVwUtPrgOo660juJVhQy5azhBIb77KXVQSBCTHprG8bxj5L2Ua1sOZ6uTtf/9PpEpUUz4+mTbcgAMuXsE9WWnKVlTZGsOT6vYWkbC+CSf2nzlUqRMS6V6b5XfnV1WuDKfoJAgUq9OtzuKiPiRC76TMMb83Rjzd6BX59ddrlsD7L/Q40VEOqVMTW1fh+GD67AOPrcPl9PF0LtG2B3lorJuyCFuTAJbfrmR1jOttmTY+9Quag/UMO3HVxMaEWpLhk6Z87Lo3b8Puc/tszWHJzXXNVGbW+OX0wM7DZyeBi4o2+i7o9jncnRlPkmTU+gd3cfuKCLiRy72Ue2RjkvXr48Ah4ElwM2eiyYigSSxyzosX+Jsc5L77D4Gzkyjb3q03XEuyuFwMOXhGZwuqWPvX7y/g159xWm2PLKRtDkZZC20fx1YcO8QBi8eSsHyIzSdPGN3HI+o3F4BLv9cf9UpflwiIeEhfrVde13xKY7l1pKu3QNF5BJdcJMLy7J+CGCM2WRZ1rveiSQigSg0IpT4sYk+tw6jZE0Rp0vqmPr9mXZH6baBM9NIvzaTbb/ZxODbh3p118ONP1iDs6WNGT+bbcvGFucy+LYh7P3zTvKXHfaLUchLVbG1DByQMN5/d7EL7hVM0qQUnztm4EKOrmw/Y03rr0TkUnVrsYFlWe8aY2YbY54yxrzb8e8cT4cTkcDSvg6r0qfOw8ldspc+A/qQOX+Q3VEuyfQfX01bi5MPf7TOa32WrCvi0KsWY786keis/l7r92LixybSNz2aQ69adkfxiIqtZcQMjaVXVG+7o1yRlGmpHDtYS0NVvd1RuqVwZT7RWf3oN8h3nusi4h+6u4vgZ4EXgArgVaAceNYY8zkPZhORAJM8dSCuNhcVW0rtjgJAY00DBe8cwdw+jODe3Tq1wmdEZ/VnzBfHk/dSrlfWtbU0tLDmW+/RNyOacV+d6PH+LoXD4SB7kaF0XZHfvHnvLpfTReX2cr+eHtgpZUYagF+MYrXUt1C6vliHC4vIZenudlnfBq61LOu7lmU9aVnW/wDXdVwvItItiROSCQoN8pl1GNZLuThbnAy9xz+nlY3/z0lEJEey7qFVOFs9u035lp9v4GTBCWY/eh0hYfZubHEuOYuG4HK6OPJmnt1R3OqYVUtzXXNAFFhxI+Pp1be3z/z+X0jJuiLamtq0/kpELkt3C6wY4MBZ11mAPYefiIhfCo0IJWF8EiXr7H+D5XK5yF2yl4TxSQwYEmt3nMsSGhHKtB9dTc3eKnY/sd1j/ZRvLmX3/+1gxKdHkzIt1WP9XImYobEMGBrDodcCa5qgPx8wfLagkCCSpw70iwLr6Mp8ekX1Imlyit1RRMQPdbfAWg/8P2NMOIAxJgL4FbDRU8FEJDClzs6genclDdUNtuYo2VTC8bxjfjt61WnQjTlkLcxmyy83ciyv1u3tt5xuZtV/vEtUal+mPDzD7e27U86iIVRsKaOu5JTdUdymYmsZYbHh9M3w/R0uuyNlWionC0749P8jl8tF4Yp8UmdnENwr2O44IuKHultgPQiMAk4aYyqBE8Bo4AueCiYigSltdvuBncUfFNqaY+dfdxISHkr2LcbWHFfK4XAw8xfXEBoRyur/eNftUwXXfmcVJwtOMOd38wiN7OXWtt2t8//l4aWBM4pVsbWMxIlJPrNj45VKmd4+AurLo1gVOytoqKzX9EARuWzd3UWw3LKsWUAmcCOQaVnWLMuyfO/EUBHxaXGjEugTE0bx6qO2ZWg+3cy+5/eRfctgevl40dAd4fERzHjkGiq3V7DlF+6bWHDw+f1YLx5gwjcn++zUwK6iM/oRNzqB/LcP2x3FLRprGjiZf4LECf4/PbBTzNBY+sSE+XSBlfdWHjgg/ZoMu6OIiJ+64LZZHVMCHwZGADuAn1uW5V/HsIuIT3EEOUi9Op3iDwpxOV04grz/yfzh1y1a6lsYevdIr/ftKTm3tO+it+N3W0gYn3TF285X7qxg7X+/T8r0VCZ8c7KbUnpe1sJsNv9sA6fL64hMirI7zhWp2FYOBMb6q06OIAcp01Ip3VCMy+XyyZG5vLfySBiXRFhsuN1RRMRPXWwE64+0j1gdBBYDv/Z4IhEJeGmzM2isaaRmX5Ut/ecu2UfskFgSJybZ0r+nTP/pbOJGxfP+V96h9kD1ZbdTV3yKZZ9cSlhcONf+6XqCgrs7m9x+WQtzAChYdsTmJFeuYmsZQaFBxI2OtzuKW6VMS+V0aR2nCk7YHeVjGirrKdtaRroOFxaRK3Cxv5oLgOssy/p2x9c3eD6SiAS61Kvb12EVrSr0et/HrFoqt5Uz9jNjffLT8ysR0ieE+U/fRGhEKG9+4lVOFl76G9jT5XW8eccrtDW1sXDJIsLjIzyQ1HP65wyg/+AB5C87ZHeUK1axtYy4UfE+uS3+lUiZ0T7dtMQHpwkefb8AQOdficgVuViBFWFZVjmAZVnFQGBsYyQitgqPjyB2ZDxF7xd6ve/cJfsICgli9H2jvd63N0Sl9uXGF26lramV1xe9xLGDNd1+7MmCEyy9+UXqK+tZuOQWBpgYDyb1nKyFOZRtLKGxttHuKJetrbmNql0VAbX+qlO/Qf2JSIygZF2R3VE+pnBFPn0H9iVmuH8e3SAivuFiBVaIMWa2MWaOMWbO2d93XCcicskyrsuifEupV7drb2tuI+/lA2TMyyLCz0ZmLsWAIbHc/MrtOFudvHrDC+S/ffHRnMJ3j/DydUtoOnGGG1+8laRJ/nv+T9bCbFxtLgpX+O80wZp9VbSdaSPxqsArsBwOBwNnpVOy5ijONs8ekH0p2ppaKf7gKDk35ATc6LaIeNfFCqwq4Cngrx2X2rO+/4tH04lIwMq6PhtcePVNcP5bh2isaWTYvYGzucX5xI6M57ZldxGdEc07D7zJ8k+9QdWuClwu10f3cblcVO2qYPmn3mDZva8TObAvi1fc4/ejJrEj44lK7evXuwlWbA28DS66SpuTQdOJJqp3Vdod5SOlG0tobWhh8A2D7Y4iIn7ugrsIWpaV4aUcItLDxIyIIyqtLwXLDjPsHu8UPPue3k3fjGhSr87wSn92i0rty63L72LnH7ex649bKVh2mMiBUQwYHIPL5eJ43jFOl9YRGtmLqx6axtgvTwiIg1UdDgdZ12ez9+ndNJ9u9sut+Cu2lRGV2peIxEi7o3hE6qx0cLSvw0wY7xubzRxdmU9IWAiZczI5cfqM3XFExI/5z9ZQIhJQHA4HWQuyKV5TRPPpZo/3V7O/mvLNpYz41Ghbtoa3S3BoMBO+Pol7d3yWWb+eS8LYRBprG2k6cYaECUnM+vVc7t/9OSZ8fVJAFFedshbm4Gxu4+h7BXZHuSydBwwHqj4Dwogfm0jR6kK7owDto7lHVxSQMiON0ADbVEREvO+CI1giIp6UuTCb3U/uoOj9ArJvNh7ta9/TuwnuE8yQu4Z7tB9f1Tu6D8PvG8Xw+0bZHcUrEiYmERYXTv7bh8i5xbPPLXerK62jvuw0CX4+VfNi0mZnsP3RzZw53kif/mG2ZjmWW8OpopOM/epEW3OISGDQCJaI2CZxYjJhsWHkL/PsWpmmU03kvZxLzqIhtr+RE+8ICg4ic/4git4roK2p1e44l6RiaxkQuOuvOqXNycDldFGy1v7dBPOXHQYHV3xAt4gIqMASERsFBQeRtTCHwneP0OLBaYLWiwdobWhhxKfHeKwP8T2Z12fTUt/ik9uBX0j5phJCwkOJGRbYW4XHj02kd3Rvn5gmWLDsMIkTkglPCNzdRUXEe1RgiYitBi8eSmtDK0c8tOObs83J3j/vJGF8IvGjEzzSh/imgdNTCY3sRcFy/9quvXxTKYkTkggODZw1cecSFBLEwFnpFK8q/LfdLb3t1NGT1OyrJvP6bNsyiEhgUYElIrZKvCqZvunR5L2c65H2C5Yd5mTBCcZ8aYJH2hffFdw7hPS5mRQsP+JT5y1dSNPJM9Tm1pA02X/PIbsUqbPTqa+o59jBWtsyFCxv/3AnSwWWiLiJCiwRsZXD4WDw4qGUriuivuK0W9t2uVzsenwbfTOi9el0D5W5YBCNNQ1Ubiu3O0q3lG8pAxck95ACK212BgBFNu72mP/2YWKGxRKd2c+2DCISWFRgiYjtBt8+FJfThfXiAbe2W765lMrtFYz54gSCgvVy1xOlXZNJUGjQR6MUvq58UylBoUHEjwvcLdq7ikyOInZkPAXv2jONs6GqnvItpfoARkTcSu84RMR2/bL6kzx1IPv/vsetU7l2/mErfWLCGHLnMLe1Kf6ld9/eDJyRRv6yw7au8+mu8k2lxI1KIDS855zFlDl/EBVby2iobvB634XvHgEXZF2f4/W+RSRwqcASEZ8w8jNjqCs6RdH7hW5pr2JbGUdXFjD6C+MI0cGhPVrmgmxOFZ60dZ1Pd7Q2tlC1q6LHrL/qlDl/ELjg6Mp8r/edv+wwfdOiiRke2Ds2ioh3qcASEZ+QMX8QEUmR7P3rTre0t+WRjYTFhjHqs2Pd0p74r8z5g8DRvuGJL6vaVYmzxdlj1l91ihkRR+TAKAre8e40wTPHGilZU0TWDdk4HA6v9i0igU0Floj4hODQYIbfP4ri1UepPVB9RW2VbiimZG0R4752FaGRvdyUUPxVeEIECeOTfH4dVtmmUqB9Z82exOFwkDlvECVrjtLS0OK1fo+8dQhnq5OcW4d4rU8R6RlUYImIzxjxwGh6RfVi2282XXYbzjYnG3+4lojECIbfP8qN6cSfZV2fTfWeKupKTtkd5bzKN5UwYGgMffqH2R3F6zLmD6K1sZWSNUe91ueh1w7Sb1B/YkfGe61PEekZVGCJiM/o0z+MkZ8by5E3D1GbW3NZbeQu2Uf1rkqmfG+m1l7JRzp3ifPVUSxnm5OKreUkXdWzpgd2Sp46kF59e3vtUOj6itOUbSwhe5HR9EARcTsVWCLiU0Z/YRy9onrx4Q/XXvKub421jWz66XqSp6SQc5um/ci/9MvqT38T47U38Jeqdn81Laebe9wGF52CQ4PJmJdFwfLDtDW1ery/w6/ngQtyFul1QkTcTwWWiPiUPv3DmPjtqRStKrykN8Mul4sPvrGClvoWZjxyjT6Vlo/Juj6bsg9LOHOs0e4oH1P2Yfv6q6TJA21OYp+cW4fQdLKJotWenyZ46LWDxI6Io3/OAI/3JSI9jwosEfE5Iz8zhgFDY1j30Coaa7v3ZvjAP/ZSsPwIk787jZih2nJZPi5zwSBcbS4KV3h/O/CLKd1QTN+MaKJSouyOYpuBM9PoM6APh5ce9Gg/J44cp2pHhUavRMRjVGCJiM8JCgnimj8uoLG2kfe/svyihw+Xri9i3UOrSL06ndEPjvdSSvE3caMTiEiO9Lnt2p2tTso2FDNwRprdUWwVHBpM1g2DKXjnCC31nttNMPfZfTiCHQy+Y6jH+hCRnk0Floj4pLiR8Uz/ydUUvV/IB99cict57vVYpRuKWX7/G0Rn9ee6Py/EEaSpgXJuDoeDrAXZFHt5O/CLqd5bRXNdMynTU+2OYrucRYbWhlYKPXTosLPVifXCAdLnZhKREOmRPkREVGCJiM8a8anRTPjGJA4+u5+373mNuuJ/bbHd2tjCjt9v4c1PvEpEUiQ3PH8rvaP72JhW/EHm9dm0NrZSvLrQ7igfKV1XBEDKNBVYSZNTiEiMIO+lAx5p/+h7BTRU1TP07hEeaV9EBCDE7gAiIhcy8b+nEp4QyYbvfcCSSU+RMD6JkPAQqnZW0HSiiczrs5n96LU98uwguXRJk1Po3a99O/CshTl2xwGgdH0xA4bEEB4fYXcU2wUFB2HuHM7O32/ldFkdkcnuXZOW++w+wuLCSZub6dZ2RUS60giWiPg0h8PBiAdGc/emTzP6i+NxuVycOXaGjHmDuPm125n/9I0qrqTbgkODSb82i8IVR3C2Xnhtnze0NbdRvqVU0wO7GHr3CFxOF7nP7nNru6fL6ji6Mh9zxzCCQ4Pd2raISFcawRIRvxCVEsWU/51hdwwJAFnXZ5P3Ui5lH5bYvrFE1Y4KWhtaSZnesze46Co6ox8DZ6aR++w+xn99EkHB7vkseO9Tu8DVPvVYRMSTNIIlIiI9SurVGQT3CaZguf27CZasLwIHJE/tuedfncuw+0ZxuqSO4g/ccyZWS0MLB/6+h8wFg+ibHu2WNkVEzkcFloiI9CihEaGkXZ1BwfIjuFzn3p3SW0rXFxM3KoE+/bRBS1eZ8wcRFhfOnv/b4Zb28l7KpelEE6O+MM4t7YmIXIgKLBER6XEyr8/mdGkd1XuqbMvQcrqZim3lpEzT6NXZgnsFM+rz4yhefZSafdVX1Jaz1cmuJ7YRNyqepEkpbkooInJ+KrBERKTHybguC0eQw9ZDh0s3FONsbiNtjna0O5fh948iNCKUnY9tvaJ28l7O5WT+CcZ/YzIOh87JExHPU4ElIiI9Tp8BYSRNSbF1HVbRqkJCwkNJmpRsWwZf1qdfH4bdO4rDSy1O5h+/rDbaWtrY9v82ETsynswFg9ycUETk3FRgiYhIj5S5IJtjB2upPVTr9b5dLhdF7xcycEYqwb21oe/5jP3yBIJ7h7DpZxsu6/G5/9zHqcKTXPXtKRq9EhGv8YkCyxhTaIw5aIzZ1XGZ13H9ZGPMbmNMnjFmhTEm3u6sIiISGLIWZANwcOlBr/d9Mv8Ep4pOanrgRYQnRDDmS+M58kYeldvLL+mxjTUNbP75elJmpJJ+XZaHEoqIfJxPFFgdFluWNabj8q4xxgH8E/iyZVmDgbXAI/ZGFBGRQBGV2pfYkfFYSy2v9330/QIA0uZkeL1vfzPmSxMIj49gzX+9R1tLW7cf9+GP1tFyuoUZP5uj0SsR8SpfKrDONgE4Y1nW+o7v/wTcYWMeEREJMFnXZ1P8YTENlfVe7bd4VSH9svvrTKZu6BXZi5m/vIaafdXs+N2Wbj3m8Bt5HHx+P2O+MoEBJsbDCUVE/p0vTfxe0jFqtR74LpAGfHTCoGVZNcaYIGPMAMuyjnW30ZiYSPcnFb8VFxdldwTxIXo+yLh7RrHlFxup2VjK+M+P90qfLQ0tlG0sYfyD4/Uc7Ka4+8dSuqKAbb/exODZWWTPzz7vfav2V7HmmytJuSqF6395HcGhwZfen/6/SBd6Psil8pUCa4ZlWcXGmN7Ab4E/Aq+5o+Ha2tM4nfYeJCm+IS4uiurqOrtjiI/Q80EAHAlh9B/Un93P7yVt0WCv9Fmw/DCtZ1pJmJ6q5+AlmPyTWZTtruDF219i4ZJbSJ7y8fPDjh8+xhu3vUxw7xBmPz6fYycaLrkfvTZIV3o+SKegIEe3B258YoqgZVnFHf82AY8D04AiIL3zPsaYWMB1KaNXIiIiF+JwOBi2eBgla4toqPLONMH8ZYfp3a83SVN06O2lCI3sxcIltxCRFMmbn3iFXY9vo6WhBWjfjj33uX28uuA52prbuOGFW+mbpumXImIP2wssY0yEMSa642sHcCewC9gOhBljpnfc9UHgRXtSiohIoBp17yhcbS4OeWGzC2erk8IV+aRfm3VZU9d6usjkKBa98QkGzkxn4w/W8rfhf+KF2f/gb8P+xOr/WEG/nAEsfvduYofH2R1VRHowX5gimAC8YowJBoKBA8CXLMtyGmPuBZ40xvQBCoFP2hdTREQCUfzweOJGJ5D34gFGf36cR/sq+7CEpuNnyLr+/GuI5MLCYsK4/h83U/ZhCUdez6OutI74sQlkzhtE+nVZ2jFQRGxne4FlWVY+MPY8t20ERno3kYiI9DSDbx/Khoc/4NjBGgYMifVYPwXLDhMSFkLq7AyP9dETOBwOUqamkjI11e4oIiIfY/sUQREREbvlLBqCI9iB9VKux/pwOV3kLz9M6qx0QsNDPdaPiIjYSwWWiIj0eOFx4aTNySDvlVycbU6P9FG2qYT6stNk32I80r6IiPgGFVgiIiKAuWMY9WWnKVlz9OJ3vgyHXjlISHgoGfMGeaR9ERHxDSqwREREgMz5gwiLDWff3/a4ve22plaOvJFH1sJsQiM0PVBEJJCpwBIREQGCe4cw9JMjOLoin7qSU25t++h7BTSdbGLwbUPd2q6IiPgeFVgiIiIdht87CpfLxYF/7HVru9YLBwiLC2fgzDS3tisiIr5HBZaIiEiHqNS+ZFyXxYF/7qWtuc0tbdaV1lG4Ip8hdw0nKER/dkVEAp1e6UVERLoY8cAYGqsbOPTqQbe0l/uPPbhcLobfN8ot7YmIiG9TgSUiItJF6ux0YkfEseMPW3E5XVfUVltLGwf+uY/0uZn0TYt2U0IREfFlKrBERES6cDgcjP3aVZw4dIz8ZYevqK3DSy0aquoZ/qnRbkonIiK+TgWWiIjIWQbdmEN0Zj92/HbzZY9iuZwudvxuCwOGxpJ+TaabE4qIiK9SgSUiInKWoOAgJnxzMtV7qjj02uWtxcp/+xDH844x/j+vwhHkcHNCERHxVSqwREREzmHw4qHEjYpn00/X03qm9ZIe62x1suWXHxKd1Y9BNw32UEIREfFFKrBERETOwRHkYOoPZnK6pI6df9h6SY/d/8xujlu1TPneTIKC9adWRKQn0au+iIjIeaRMTyPn1iFsf3Qz1XuruvWY+orTbPnFRlJmpJK5YJCHE4qIiK9RgSUiInIBM34+mz4Dwnj/y8tpPt18wfu6nC5W/ce7tDW1MfORa3A4tPZKRKSnUYElIiJyAX36h3HNY/M5fugYKz7/Ns5W53nvu/nnGyhefZSp359J/5wBXkwpIiK+QgWWiIjIRaTOSmfmI9dQ9F4By+57nea6pn+73eV0seln69nxuy0Mu28Uwx/QuVciIj1ViN0BRERE/MHw+0eBA9Z++32em/Y3Rn1hPPGj46krqWPf07uo2lnJsHtHMvOROZoaKCLSg6nAEhER6abh940idkQcG763hg9/uPaj66NS+3LNY/MZvHioiisRkR5OBZaIiMglSBiXxK1v3Uld8SlOFp6gz4AwYobG6jBhEREBVGCJiIhclqjUvkSl9rU7hoiI+BhtciEiIiIiIuImKrBERERERETcRAWWiIiIiIiIm6jAEhERERERcRMVWCIiIiIiIm6iAktERERERMRNVGCJiIiIiIi4iQosERERERERN1GBJSIiIiIi4iYqsERERERERNxEBZaIiIiIiIibqMASERERERFxExVYIiIiIiIibqICS0RERERExE1UYImIiIiIiLiJCiwRERERERE3UYElIiIiIiLiJiqwRERERERE3EQFloiIiIiIiJuowBIREREREXETFVgiIiIiIiJuogJLRERERETETVRgiYiIiIiIuIkKLBERERERETdRgSUiIiIiIuImKrBERERERETcRAWWiIiIiIiIm4TYHeBijDGDgWeAGKAWuM+yrEP2phIREREREfk4fxjB+hPwmGVZg4HHgCdtziMiIiIiInJOPl1gGWPigXHAcx1XPQeMM8bE2ZdKRERERETk3Hx9imAqUGpZVhuAZVltxpiyjuuru9NATEykB+OJv4mLi7I7gvgQPR+kk54L0pWeD9KVng9yqXy9wLpitbWncTpddscQHxAXF0V1dZ3dMcRH6PkgnfRckK70fJCu9HyQTkFBjm4P3Pj0FEGgGEgxxgQDdPyb3HG9iIiIiIiIT/HpAsuyrCpgF3BXx1V3ATsty+rW9EARERERERFv8ocpgg8CzxhjvgccB+6zOY+IiIiIiMg5+XyBZVnWQWCS3TlEREREREQuxqenCIqIiIiIiPgTFVgiIiIiIiJuogJLRERERETETVRgiYiIiIiIuInPb3JxBYKh/VAwkU56PkhXej5IJz0XpCs9H6QrPR8E/u15EHyx+zpcLpdn09hnOrDO7hAiIiIiIhIwZgDrL3SHQC6wegMTgXKgzeYsIiIiIiLiv4KBJGAr0HShOwZygSUiIiIiIuJV2uRCRERERETETVRgiYiIiIiIuIkKLBERERERETdRgSUiIiIiIuImKrBERERERETcRAWWiIiIiIiIm6jAEhERERERcRMVWCIiIiIiIm4SYncAdzPG/Bq4DcgARlqWtc/eRGInY0wM8A9gEO2nbh8GvmBZVrWtwcQ2xpilQCbgBE4DX7Usa5e9qcROxpjvAz9AfzN6PGNMIXCm4wLw35ZlvWtbILGNMaYP8Cgwl/bnw4eWZX3e3lRiB2NMBrC0y1X9gL6WZQ0432MCrsCi/QfwO2Cd3UHEJ7iAX1qW9QGAMeZXwCPAZ+wMJba637KskwDGmJuBp4Bx9kYSuxhjxgGTgSK7s4jPWKxCW4Bf0l5YDbYsy2WMSbA7kNjDsqxCYEzn98aY33KRGirgCizLstYDGGPsjiI+wLKsY8AHXa7aBHzRnjTiCzqLqw7RtI9kSQ9kjOkNPAbcDay2OY6I+AhjTCRwHzDQsiwXgGVZlfamEl9gjOkF3APMu9D9Aq7AEjkfY0wQ7cXVG3ZnEXsZY/4CXAc4gPk2xxH7/Aj4p2VZBfpQTrpYYoxxAOuB71qWdcLuQOJ1g4Ba4PvGmNm0Tyd/uPNDfOnRbgJKLcvacaE7aZML6Un+QPuL5B/tDiL2sizrs5ZlpQHfBX5ldx7xPmPMFGAi8LjdWcSnzLAsazTtzw0H+nvRU4UAWcBOy7ImAP8NvGqM6WtvLPEBn6Z9acEFqcCSHqFj85Mc4BOWZWlKmABgWdY/gNkdm6FIzzILGAIUdGxsMBB41xhznZ2hxF6WZRV3/NtEe/E9zd5EYpOjQCvwHIBlWZuBGmCwnaHEXsaYZNr/diy52H01RVACnjHmp8B4YGHHH03poTrm1ffvfBNljLkRONZxkR7EsqxHaN/wBvho97gbtLlBz2WMiQBCLMs62TFF8E5AO4z2QJZl1RhjVgPXAiuMMYOBeNp3Ipae61PA25Zl1V7sjgFXYAYX1AYAAAP8SURBVBljfg/cCiQC7xljai3LGm5zLLGJMWY47dPA8oCNHessCizLWmRrMLFLBPBSxxupNtoLqxs7FzGLSI+WALxijAkGgoEDwJfsjSQ2ehB4yhjzG6AFuFfr8Xq8TwFf684dHS6X3leIiIiIiIi4g9ZgiYiIiIiIuIkKLBERERERETdRgSUiIiIiIuImKrBERERERETcRAWWiIiIiIiIm6jAEhER6QZjzN+MMT+xO4eIiPi2gDsHS0REAocx5m7gG8AQoI72g19/CqQCPwcyu55jZowJAcqAT1uW9VaX66cA7wGJlmXVndXHTuCvlmX90cP/OSIi0gNoBEtERHySMeYbwG+Bn9F+CGwa8DhwM/Aa0A+YddbD5gMu4J2uV1qW9SFQAtx2Vh8jgGHAc+7/LxARkZ5II1giIuJzjDHRwI+AByzLerXLTW92XDDGvAjcB3zQ5fb7gCWWZbWeo9lnOm7/21n3f9uyrNqONl8CZgBhwG7gi5Zl7T9Hvk8Bn7Usa3qX61xAjmVZh40xvWkfabsD6E17Qfh1y7Iau/kjEBERP6URLBER8UVTgD60Fybn8wyw2BgTBh8VZTcCfz/P/f8BzDDGpHXcPwi4+6z7LwdygHhgB7DkMvP/AhgMjAGygRTge5fZloiI+BEVWCIi4otigJrzjEQBYFnWBqASWNRx1R1AnmVZu85z/2JgDfDJjquuob2Ie7vLfZ6yLKvOsqwm4AfA6I7CrduMMQ7gc7SPWB3rWPP1M+DOS2lHRET8k6YIioiIL6oFYo0xIRcqsmgffboPeBa4l/ZRrQt5Bvgf2guee4FnLctqATDGBNM+re92IA5wdjwmFjh5CdnjgHBguzGm8zoHEHwJbYiIiJ9SgSUiIr7oQ+AMcAvw8gXu93fgex27BE6mfRTrQl4FHjfGzAZuBa7uctvdtG+gMRcoBKKB47QXR2erp72IAsAYk9jlthqgERhuWVbpRfKIiEiA0RRBERHxOZZlnaR9zdJjxphbjDHhxphQY8wCY8wvu9zvKLCe9l0AV1qWVXGRdutpL9ieBo5alrWty81RQBPto2fhtI9ync9uYLgxZowxpg/t0wk7+3ACfwYeNcbEAxhjUsz/b+8ObSIKogCKXipBTik0g8dQAz1ABRRAAVsByQcMISgcDXzER5BNlkWMAHKOfmJG3kzyZoyzH14fgD9MYAHwKy3LctX2B9Zl9Va9VOfV7d7odXXa4eUW+w7N31TP1Wt1X+2+OdtD25bDu+qxLfK+uqieqt0Y4/1zbgTAv3eyruvxKQAAAI7yggUAADCJwAIAAJhEYAEAAEwisAAAACYRWAAAAJMILAAAgEkEFgAAwCQCCwAAYJIPwCBggOVHg1cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.set_printoptions(precision=4)\n",
    "\n",
    "#Setting up grid of X values\n",
    "min_val = -30.5\n",
    "max_val = 30.5\n",
    "\n",
    "temperature = 300*kelvin\n",
    "\n",
    "valrange = max_val - min_val\n",
    "increment = 0.001\n",
    "npoints = int(valrange/increment)\n",
    "\n",
    "x = np.linspace(min_val, max_val, npoints)\n",
    "x = np.around(x, decimals=3)\n",
    "\n",
    "#Build the triple well potential\n",
    "vals = [4.5, 0.8, 6, 1.0, 7.0, 7.0]\n",
    "q = (2*math.pi)/vals[3]\n",
    "#potential = [math.exp(x[i] - 27) + math.exp(4 - x[i]) + 6*(A[0]*math.cos((1/1.0)*q*(x[i])) + A[1]*math.cos(-1/2.5*q*x[i]) + A[2]*math.sin((1/2.5)*q*x[i]) + 6) \n",
    "#      for i in np.arange(0, len(x))]\n",
    "\n",
    "potential = [math.exp(x[i] - 1.0) + math.exp(vals[4] - x[i])\n",
    "             + 6*(vals[0]*math.cos(q*x[i] + math.pi) + \n",
    "                  vals[1]*math.cos(1.5*q*x[i] + math.pi) + \n",
    "                  vals[2]*math.sin(1.5*q*x[i] + math.pi) + vals[5])\n",
    "      for i in np.arange(0, len(x))]\n",
    "\n",
    "#(1/(x[i]-min_val)) - (1/(x[i] - max_val)) +\n",
    "\n",
    "delta_pot = [(-6*math.pi*(5*math.sin(q*x[i]) + 9*math.sin(1.5*q*x[i]) - 10*math.cos(1.5*q*x[i])))\n",
    "             for i in np.arange(0, len(x))]\n",
    "\n",
    "#Specify the simulation parameters - Initial position and Gaussian shape parameters\n",
    "starting = [round(random.uniform(min_val, max_val), 3), 2.515857752723096]\n",
    "height, width = 0.01, 0.01\n",
    "gauss_min = starting[0] - 2.275*width\n",
    "gauss_max = starting[0] + 2.275*width\n",
    "gauss_length = int((gauss_max - gauss_min)/increment)\n",
    "\n",
    "#Constructing an example of the Gaussian bias using input width and height\n",
    "gauss_range = np.linspace(gauss_min, gauss_max, gauss_length)\n",
    "gauss_range = np.around(gauss_range, decimals=3)\n",
    "\n",
    "gauss = height*stats.norm.pdf(gauss_range, starting[0], width)\n",
    "G_arr = np.array([gauss_range, gauss]).T\n",
    "\n",
    "print(\"Starting pos - %f\" % starting[0])\n",
    "print(x.shape, len(potential), G_arr.shape)\n",
    "print(AVOGADRO_CONSTANT_NA)\n",
    "\n",
    "#center_idx = int(0.5*gauss_length)\n",
    "#print(G_arr[center_idx, 0])\n",
    "\n",
    "#Test - search over all xvals and add gaussian to potential automatically \n",
    "#- To be implemented into AniMetaD in current state \n",
    "#- works for full grid (assuming increments of gaussrange and x_grid are equal)\n",
    "\n",
    "#for i in range(0, len(x)):\n",
    "    \n",
    "#    if math.isclose(G_arr[center_idx,0], x[i], rel_tol=increment):\n",
    "        \n",
    "#        print(\"Print kernel at center - %0.3f (x value=%0.3f), Index values of pot = %d:%d \" % \n",
    "#              (G_arr[center_idx,0], x[i], i, i+gauss_length))\n",
    "        \n",
    "#        for idx, potval in enumerate(potential[i:i+gauss_length]):\n",
    "#            j = i+idx\n",
    "            \n",
    "#            potential[j] = potval + G_arr[idx,1]\n",
    "            #print(G_arr[idx, 0], x[j])\n",
    "            \n",
    "#            break\n",
    "            \n",
    "#Plotting the potential and the fixed starting point for the 1D MetaD simulation\n",
    "fig = plt.figure(figsize=(12,6))\n",
    "\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "ax.set_title('Test MetaD - Height=' + str(height) + r', Width=' + str(width), fontsize=16)\n",
    "ax.plot(x, potential, linestyle=\"-\", color=\"purple\")\n",
    "\n",
    "        #ax.fill(gauss_range, gauss + starting[1])\n",
    "        #ax.scatter(G_arr[center_idx,0], potential[i+center_idx], marker=\"o\", color=\"blue\")\n",
    "ax.set_xlabel('CV Value')\n",
    "ax.set_ylabel('Potential Energy (kJ/mol)')\n",
    "ax.set_xlim(1, 7)\n",
    "ax.set_ylim(-10, 300)\n",
    "fig.tight_layout()\n",
    "\n",
    "plt.show()       "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.set_printoptions(precision=4)\n",
    "\n",
    "#Setting up grid of X values\n",
    "min_val = 0.125\n",
    "max_val = 3.5\n",
    "\n",
    "valrange = max_val - min_val\n",
    "increment = 0.001\n",
    "npoints = int(valrange/increment)\n",
    "\n",
    "x = np.linspace(min_val, max_val, npoints)\n",
    "x = np.around(x, decimals=3)\n",
    "\n",
    "#Build the triple well potential\n",
    "A = [1.5, 1.8, 2]\n",
    "a = 1.7\n",
    "q = (2*math.pi)/a\n",
    "potential = [(A[0]*math.cos(q*x[i]) + A[1]*math.cos(1.5*q*x[i]) + A[2]*math.sin(1.5*q*x[i]) + 4) \n",
    "      for i in np.arange(0, len(x))]\n",
    "\n",
    "delta_pot = [(-6*math.pi*(5*math.sin(q*x[i]) + 9*math.sin(1.5*q*x[i]) - 10*math.cos(1.5*q*x[i])))\n",
    "             for i in np.arange(0, len(x))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Gaussian Kernel parameters\n",
    "starting = round(random.uniform(min_val, max_val), 3)\n",
    "g_height, g_width = 0.01, 0.01"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def gen_Gauss_Kernel(mean, height, width, increment):\n",
    "    \n",
    "    gauss_min = mean - 2.275*width\n",
    "    gauss_max = mean + 2.275*width\n",
    "    gauss_length = int((gauss_max - gauss_min)/increment)\n",
    "\n",
    "    #Constructing an example of the Gaussian bias using input width and height\n",
    "    gauss_range = np.linspace(gauss_min, gauss_max, gauss_length)\n",
    "    gauss_range = np.around(gauss_range, decimals=3)\n",
    "\n",
    "    gauss = height*stats.norm.pdf(gauss_range, mean, width)\n",
    "    G_arr = np.array([gauss_range, gauss]).T\n",
    "                      \n",
    "    return G_arr, gauss_length"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def deposit_Gauss_kernel(X_grid, potential, gauss_array, gauss_length):\n",
    "    \n",
    "    center_idx = int(0.5*gauss_length)\n",
    "    for i in range(0, len(X_grid)):\n",
    "    \n",
    "        if math.isclose(gauss_array[center_idx,0], X_grid[i], rel_tol=increment):\n",
    "        \n",
    "            print(\"Print kernel at center - %0.3f (x value=%0.3f), Index values of pot = %d:%d \" % \n",
    "              (gauss_array[center_idx,0], X_grid[i], i, i+gauss_length))\n",
    "        \n",
    "            for idx, potval in enumerate(potential[i:i+gauss_length]):\n",
    "                j = i+idx\n",
    "            \n",
    "                potential[j] = potval + gauss_array[idx,1]\n",
    "                #print(G_arr[idx, 0], x[j])\n",
    "            \n",
    "            #Plotting the potential and the fixed starting point for the 1D MetaD simulation\n",
    "            #fig = plt.figure(figsize=(12,6))\n",
    "\n",
    "            #ax = fig.add_subplot(111)\n",
    "\n",
    "            #ax.set_title(r'Test MetaD - Height=' + str(height) + r', Width=' + str(width), fontsize=16)\n",
    "            #ax.plot(X_grid, potential, linestyle=\"-\", color=\"purple\")\n",
    "            #ax.scatter(gauss_array[center_idx,0], potential[i+center_idx], marker=\"o\", color=\"blue\")\n",
    "            #ax.set_xlabel(r'\\textbf{CV Value}')\n",
    "            #ax.set_ylabel(r'\\textbf{Free Energy (kJ/mol)}')\n",
    "            #ax.set_ylim(-0.1,8.0)\n",
    "    \n",
    "            #fig.tight_layout()\n",
    "\n",
    "            #plt.show()\n",
    "            \n",
    "            break\n",
    "        \n",
    "    return potential"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 1\n",
      "Print kernel at center - 1.618 (x value=1.617), Index values of pot = 1492:1537 \n",
      "step 2\n",
      "Print kernel at center - 2.869 (x value=2.867), Index values of pot = 2741:2786 \n",
      "step 3\n",
      "Print kernel at center - 1.275 (x value=1.274), Index values of pot = 1149:1194 \n",
      "step 4\n",
      "Print kernel at center - 0.872 (x value=0.872), Index values of pot = 747:792 \n",
      "step 5\n",
      "Print kernel at center - 3.070 (x value=3.067), Index values of pot = 2941:2986 \n",
      "step 6\n",
      "Print kernel at center - 2.186 (x value=2.184), Index values of pot = 2058:2103 \n",
      "step 7\n",
      "Print kernel at center - 1.416 (x value=1.415), Index values of pot = 1290:1335 \n",
      "step 8\n",
      "Print kernel at center - 0.203 (x value=0.203), Index values of pot = 78:123 \n",
      "step 9\n",
      "Print kernel at center - 3.195 (x value=3.192), Index values of pot = 3066:3111 \n",
      "step 10\n",
      "Print kernel at center - 1.517 (x value=1.516), Index values of pot = 1391:1436 \n",
      "step 11\n",
      "Print kernel at center - 2.782 (x value=2.780), Index values of pot = 2654:2699 \n",
      "step 12\n",
      "Print kernel at center - 2.046 (x value=2.044), Index values of pot = 1918:1963 \n",
      "step 13\n",
      "Print kernel at center - 2.225 (x value=2.223), Index values of pot = 2097:2142 \n",
      "step 14\n",
      "Print kernel at center - 1.027 (x value=1.026), Index values of pot = 901:946 \n",
      "step 15\n",
      "Print kernel at center - 1.055 (x value=1.054), Index values of pot = 929:974 \n",
      "step 16\n",
      "Print kernel at center - 2.251 (x value=2.249), Index values of pot = 2123:2168 \n",
      "step 17\n",
      "Print kernel at center - 2.276 (x value=2.274), Index values of pot = 2148:2193 \n",
      "step 18\n",
      "Print kernel at center - 1.549 (x value=1.548), Index values of pot = 1423:1468 \n",
      "step 19\n",
      "Print kernel at center - 1.400 (x value=1.399), Index values of pot = 1274:1319 \n",
      "step 20\n",
      "Print kernel at center - 2.835 (x value=2.833), Index values of pot = 2707:2752 \n",
      "step 21\n",
      "Print kernel at center - 1.373 (x value=1.372), Index values of pot = 1247:1292 \n",
      "step 22\n",
      "Print kernel at center - 2.430 (x value=2.428), Index values of pot = 2302:2347 \n",
      "step 23\n",
      "Print kernel at center - 2.809 (x value=2.807), Index values of pot = 2681:2726 \n",
      "step 24\n",
      "Print kernel at center - 2.939 (x value=2.937), Index values of pot = 2811:2856 \n",
      "step 25\n",
      "Print kernel at center - 1.703 (x value=1.702), Index values of pot = 1577:1622 \n",
      "step 26\n",
      "Print kernel at center - 2.526 (x value=2.524), Index values of pot = 2398:2443 \n",
      "step 27\n",
      "Print kernel at center - 1.597 (x value=1.596), Index values of pot = 1471:1516 \n",
      "step 28\n",
      "Print kernel at center - 2.202 (x value=2.200), Index values of pot = 2074:2119 \n",
      "step 29\n",
      "Print kernel at center - 2.838 (x value=2.836), Index values of pot = 2710:2755 \n",
      "step 30\n",
      "Print kernel at center - 0.202 (x value=0.202), Index values of pot = 77:122 \n",
      "step 31\n",
      "Print kernel at center - 0.211 (x value=0.211), Index values of pot = 86:131 \n",
      "step 32\n",
      "Print kernel at center - 1.910 (x value=1.909), Index values of pot = 1783:1828 \n",
      "step 33\n",
      "Print kernel at center - 2.174 (x value=2.172), Index values of pot = 2046:2091 \n",
      "step 34\n",
      "Print kernel at center - 3.278 (x value=3.275), Index values of pot = 3149:3194 \n",
      "step 35\n",
      "Print kernel at center - 0.238 (x value=0.238), Index values of pot = 113:158 \n",
      "step 36\n",
      "Print kernel at center - 2.073 (x value=2.071), Index values of pot = 1945:1990 \n",
      "step 37\n",
      "Print kernel at center - 2.352 (x value=2.350), Index values of pot = 2224:2269 \n",
      "step 38\n",
      "Print kernel at center - 2.051 (x value=2.049), Index values of pot = 1923:1968 \n",
      "step 39\n",
      "Print kernel at center - 0.519 (x value=0.519), Index values of pot = 394:439 \n",
      "step 40\n",
      "Print kernel at center - 0.270 (x value=0.270), Index values of pot = 145:190 \n",
      "step 41\n",
      "Print kernel at center - 2.401 (x value=2.399), Index values of pot = 2273:2318 \n",
      "step 42\n",
      "Print kernel at center - 2.639 (x value=2.637), Index values of pot = 2511:2556 \n",
      "step 43\n",
      "Print kernel at center - 1.143 (x value=1.142), Index values of pot = 1017:1062 \n",
      "step 44\n",
      "Print kernel at center - 0.733 (x value=0.733), Index values of pot = 608:653 \n",
      "step 45\n",
      "Print kernel at center - 2.687 (x value=2.685), Index values of pot = 2559:2604 \n",
      "step 46\n",
      "Print kernel at center - 2.835 (x value=2.833), Index values of pot = 2707:2752 \n",
      "step 47\n",
      "Print kernel at center - 3.156 (x value=3.153), Index values of pot = 3027:3072 \n",
      "step 48\n",
      "Print kernel at center - 0.823 (x value=0.823), Index values of pot = 698:743 \n",
      "step 49\n",
      "Print kernel at center - 2.575 (x value=2.573), Index values of pot = 2447:2492 \n",
      "step 50\n",
      "Print kernel at center - 1.495 (x value=1.494), Index values of pot = 1369:1414 \n",
      "step 51\n",
      "Print kernel at center - 2.985 (x value=2.983), Index values of pot = 2857:2902 \n",
      "step 52\n",
      "Print kernel at center - 1.629 (x value=1.628), Index values of pot = 1503:1548 \n",
      "step 53\n",
      "Print kernel at center - 2.260 (x value=2.258), Index values of pot = 2132:2177 \n",
      "step 54\n",
      "Print kernel at center - 1.474 (x value=1.473), Index values of pot = 1348:1393 \n",
      "step 55\n",
      "Print kernel at center - 2.931 (x value=2.929), Index values of pot = 2803:2848 \n",
      "step 56\n",
      "Print kernel at center - 2.574 (x value=2.572), Index values of pot = 2446:2491 \n",
      "step 57\n",
      "Print kernel at center - 2.234 (x value=2.232), Index values of pot = 2106:2151 \n",
      "step 58\n",
      "Print kernel at center - 0.804 (x value=0.804), Index values of pot = 679:724 \n",
      "step 59\n",
      "Print kernel at center - 2.096 (x value=2.094), Index values of pot = 1968:2013 \n",
      "step 60\n",
      "Print kernel at center - 1.306 (x value=1.305), Index values of pot = 1180:1225 \n",
      "step 61\n",
      "Print kernel at center - 2.077 (x value=2.075), Index values of pot = 1949:1994 \n",
      "step 62\n",
      "Print kernel at center - 1.710 (x value=1.709), Index values of pot = 1584:1629 \n",
      "step 63\n",
      "Print kernel at center - 0.447 (x value=0.447), Index values of pot = 322:367 \n",
      "step 64\n",
      "Print kernel at center - 1.455 (x value=1.454), Index values of pot = 1329:1374 \n",
      "step 65\n",
      "Print kernel at center - 0.471 (x value=0.471), Index values of pot = 346:391 \n",
      "step 66\n",
      "Print kernel at center - 2.027 (x value=2.025), Index values of pot = 1899:1944 \n",
      "step 67\n",
      "Print kernel at center - 0.927 (x value=0.927), Index values of pot = 802:847 \n",
      "step 68\n",
      "Print kernel at center - 2.691 (x value=2.689), Index values of pot = 2563:2608 \n",
      "step 69\n",
      "Print kernel at center - 2.806 (x value=2.804), Index values of pot = 2678:2723 \n",
      "step 70\n",
      "Print kernel at center - 1.939 (x value=1.938), Index values of pot = 1812:1857 \n",
      "step 71\n",
      "Print kernel at center - 2.098 (x value=2.096), Index values of pot = 1970:2015 \n",
      "step 72\n",
      "Print kernel at center - 0.802 (x value=0.802), Index values of pot = 677:722 \n",
      "step 73\n",
      "Print kernel at center - 0.477 (x value=0.477), Index values of pot = 352:397 \n",
      "step 74\n",
      "Print kernel at center - 1.957 (x value=1.956), Index values of pot = 1830:1875 \n",
      "step 75\n",
      "Print kernel at center - 1.965 (x value=1.964), Index values of pot = 1838:1883 \n",
      "step 76\n",
      "Print kernel at center - 3.124 (x value=3.121), Index values of pot = 2995:3040 \n",
      "step 77\n",
      "Print kernel at center - 2.229 (x value=2.227), Index values of pot = 2101:2146 \n",
      "step 78\n",
      "Print kernel at center - 1.735 (x value=1.734), Index values of pot = 1609:1654 \n",
      "step 79\n",
      "Print kernel at center - 1.166 (x value=1.165), Index values of pot = 1040:1085 \n",
      "step 80\n",
      "Print kernel at center - 2.525 (x value=2.523), Index values of pot = 2397:2442 \n",
      "step 81\n",
      "Print kernel at center - 2.509 (x value=2.507), Index values of pot = 2381:2426 \n",
      "step 82\n",
      "Print kernel at center - 1.784 (x value=1.783), Index values of pot = 1658:1703 \n",
      "step 83\n",
      "Print kernel at center - 0.897 (x value=0.897), Index values of pot = 772:817 \n",
      "step 84\n",
      "Print kernel at center - 0.321 (x value=0.321), Index values of pot = 196:241 \n",
      "step 85\n",
      "Print kernel at center - 3.182 (x value=3.179), Index values of pot = 3053:3098 \n",
      "step 86\n",
      "Print kernel at center - 0.658 (x value=0.658), Index values of pot = 533:578 \n",
      "step 87\n",
      "Print kernel at center - 3.089 (x value=3.086), Index values of pot = 2960:3005 \n",
      "step 88\n",
      "Print kernel at center - 2.017 (x value=2.015), Index values of pot = 1889:1934 \n",
      "step 89\n",
      "Print kernel at center - 2.473 (x value=2.471), Index values of pot = 2345:2390 \n",
      "step 90\n",
      "Print kernel at center - 2.617 (x value=2.615), Index values of pot = 2489:2534 \n",
      "step 91\n",
      "Print kernel at center - 2.198 (x value=2.196), Index values of pot = 2070:2115 \n",
      "step 92\n",
      "Print kernel at center - 1.797 (x value=1.796), Index values of pot = 1671:1716 \n",
      "step 93\n",
      "Print kernel at center - 2.724 (x value=2.722), Index values of pot = 2596:2641 \n",
      "step 94\n",
      "Print kernel at center - 1.375 (x value=1.374), Index values of pot = 1249:1294 \n",
      "step 95\n",
      "Print kernel at center - 1.426 (x value=1.425), Index values of pot = 1300:1345 \n",
      "step 96\n",
      "Print kernel at center - 2.388 (x value=2.386), Index values of pot = 2260:2305 \n",
      "step 97\n",
      "Print kernel at center - 3.009 (x value=3.006), Index values of pot = 2880:2925 \n",
      "step 98\n",
      "Print kernel at center - 2.938 (x value=2.936), Index values of pot = 2810:2855 \n",
      "step 99\n",
      "Print kernel at center - 1.121 (x value=1.120), Index values of pot = 995:1040 \n",
      "step 100\n",
      "Print kernel at center - 2.057 (x value=2.055), Index values of pot = 1929:1974 \n",
      "step 101\n",
      "Print kernel at center - 0.236 (x value=0.236), Index values of pot = 111:156 \n",
      "step 102\n",
      "Print kernel at center - 1.510 (x value=1.509), Index values of pot = 1384:1429 \n",
      "step 103\n",
      "Print kernel at center - 2.014 (x value=2.012), Index values of pot = 1886:1931 \n",
      "step 104\n",
      "Print kernel at center - 1.064 (x value=1.063), Index values of pot = 938:983 \n",
      "step 105\n",
      "Print kernel at center - 2.049 (x value=2.047), Index values of pot = 1921:1966 \n",
      "step 106\n",
      "Print kernel at center - 2.479 (x value=2.477), Index values of pot = 2351:2396 \n",
      "step 107\n",
      "Print kernel at center - 1.105 (x value=1.104), Index values of pot = 979:1024 \n",
      "step 108\n",
      "Print kernel at center - 2.901 (x value=2.899), Index values of pot = 2773:2818 \n",
      "step 109\n",
      "Print kernel at center - 0.371 (x value=0.371), Index values of pot = 246:291 \n",
      "step 110\n",
      "Print kernel at center - 2.160 (x value=2.158), Index values of pot = 2032:2077 \n",
      "step 111\n",
      "Print kernel at center - 3.115 (x value=3.112), Index values of pot = 2986:3031 \n",
      "step 112\n",
      "Print kernel at center - 1.324 (x value=1.323), Index values of pot = 1198:1243 \n",
      "step 113\n",
      "Print kernel at center - 0.692 (x value=0.692), Index values of pot = 567:612 \n",
      "step 114\n",
      "Print kernel at center - 0.685 (x value=0.685), Index values of pot = 560:605 \n",
      "step 115\n",
      "Print kernel at center - 2.612 (x value=2.610), Index values of pot = 2484:2529 \n",
      "step 116\n",
      "Print kernel at center - 0.362 (x value=0.362), Index values of pot = 237:282 \n",
      "step 117\n",
      "Print kernel at center - 2.750 (x value=2.748), Index values of pot = 2622:2667 \n",
      "step 118\n",
      "Print kernel at center - 1.046 (x value=1.045), Index values of pot = 920:965 \n",
      "step 119\n",
      "Print kernel at center - 0.860 (x value=0.860), Index values of pot = 735:780 \n",
      "step 120\n",
      "Print kernel at center - 2.451 (x value=2.449), Index values of pot = 2323:2368 \n",
      "step 121\n",
      "Print kernel at center - 1.239 (x value=1.238), Index values of pot = 1113:1158 \n",
      "step 122\n",
      "Print kernel at center - 1.017 (x value=1.016), Index values of pot = 891:936 \n",
      "step 123\n",
      "Print kernel at center - 2.260 (x value=2.258), Index values of pot = 2132:2177 \n",
      "step 124\n",
      "Print kernel at center - 2.098 (x value=2.096), Index values of pot = 1970:2015 \n",
      "step 125\n",
      "Print kernel at center - 2.980 (x value=2.978), Index values of pot = 2852:2897 \n",
      "step 126\n",
      "Print kernel at center - 2.052 (x value=2.050), Index values of pot = 1924:1969 \n",
      "step 127\n",
      "Print kernel at center - 1.950 (x value=1.949), Index values of pot = 1823:1868 \n",
      "step 128\n",
      "Print kernel at center - 1.070 (x value=1.069), Index values of pot = 944:989 \n",
      "step 129\n",
      "Print kernel at center - 0.817 (x value=0.817), Index values of pot = 692:737 \n",
      "step 130\n",
      "Print kernel at center - 0.373 (x value=0.373), Index values of pot = 248:293 \n",
      "step 131\n",
      "Print kernel at center - 1.425 (x value=1.424), Index values of pot = 1299:1344 \n",
      "step 132\n",
      "Print kernel at center - 3.114 (x value=3.111), Index values of pot = 2985:3030 \n",
      "step 133\n",
      "Print kernel at center - 2.835 (x value=2.833), Index values of pot = 2707:2752 \n",
      "step 134\n",
      "Print kernel at center - 2.139 (x value=2.137), Index values of pot = 2011:2056 \n",
      "step 135\n",
      "Print kernel at center - 3.019 (x value=3.016), Index values of pot = 2890:2935 \n",
      "step 136\n",
      "Print kernel at center - 1.946 (x value=1.945), Index values of pot = 1819:1864 \n",
      "step 137\n",
      "Print kernel at center - 1.864 (x value=1.863), Index values of pot = 1737:1782 \n",
      "step 138\n",
      "Print kernel at center - 2.934 (x value=2.932), Index values of pot = 2806:2851 \n",
      "step 139\n",
      "Print kernel at center - 1.576 (x value=1.575), Index values of pot = 1450:1495 \n",
      "step 140\n",
      "Print kernel at center - 1.625 (x value=1.624), Index values of pot = 1499:1544 \n",
      "step 141\n",
      "Print kernel at center - 0.320 (x value=0.320), Index values of pot = 195:240 \n",
      "step 142\n",
      "Print kernel at center - 2.514 (x value=2.512), Index values of pot = 2386:2431 \n",
      "step 143\n",
      "Print kernel at center - 1.390 (x value=1.389), Index values of pot = 1264:1309 \n",
      "step 144\n",
      "Print kernel at center - 3.058 (x value=3.055), Index values of pot = 2929:2974 \n",
      "step 145\n",
      "Print kernel at center - 1.794 (x value=1.793), Index values of pot = 1668:1713 \n",
      "step 146\n",
      "Print kernel at center - 3.226 (x value=3.223), Index values of pot = 3097:3142 \n",
      "step 147\n",
      "Print kernel at center - 2.485 (x value=2.483), Index values of pot = 2357:2402 \n",
      "step 148\n",
      "Print kernel at center - 1.658 (x value=1.657), Index values of pot = 1532:1577 \n",
      "step 149\n",
      "Print kernel at center - 2.417 (x value=2.415), Index values of pot = 2289:2334 \n",
      "step 150\n",
      "Print kernel at center - 0.724 (x value=0.724), Index values of pot = 599:644 \n",
      "step 151\n",
      "Print kernel at center - 1.174 (x value=1.173), Index values of pot = 1048:1093 \n",
      "step 152\n",
      "Print kernel at center - 2.131 (x value=2.129), Index values of pot = 2003:2048 \n",
      "step 153\n",
      "Print kernel at center - 1.960 (x value=1.959), Index values of pot = 1833:1878 \n",
      "step 154\n",
      "Print kernel at center - 2.385 (x value=2.383), Index values of pot = 2257:2302 \n",
      "step 155\n",
      "Print kernel at center - 0.486 (x value=0.486), Index values of pot = 361:406 \n",
      "step 156\n",
      "Print kernel at center - 1.849 (x value=1.848), Index values of pot = 1722:1767 \n",
      "step 157\n",
      "Print kernel at center - 1.893 (x value=1.892), Index values of pot = 1766:1811 \n",
      "step 158\n",
      "Print kernel at center - 3.251 (x value=3.248), Index values of pot = 3122:3167 \n",
      "step 159\n",
      "Print kernel at center - 0.253 (x value=0.253), Index values of pot = 128:173 \n",
      "step 160\n",
      "Print kernel at center - 2.744 (x value=2.742), Index values of pot = 2616:2661 \n",
      "step 161\n",
      "Print kernel at center - 0.322 (x value=0.322), Index values of pot = 197:242 \n",
      "step 162\n",
      "Print kernel at center - 2.565 (x value=2.563), Index values of pot = 2437:2482 \n",
      "step 163\n",
      "Print kernel at center - 0.940 (x value=0.940), Index values of pot = 815:860 \n",
      "step 164\n",
      "Print kernel at center - 1.587 (x value=1.586), Index values of pot = 1461:1506 \n",
      "step 165\n",
      "Print kernel at center - 3.064 (x value=3.061), Index values of pot = 2935:2980 \n",
      "step 166\n",
      "Print kernel at center - 1.174 (x value=1.173), Index values of pot = 1048:1093 \n",
      "step 167\n",
      "Print kernel at center - 1.367 (x value=1.366), Index values of pot = 1241:1286 \n",
      "step 168\n",
      "Print kernel at center - 2.852 (x value=2.850), Index values of pot = 2724:2769 \n",
      "step 169\n",
      "Print kernel at center - 1.625 (x value=1.624), Index values of pot = 1499:1544 \n",
      "step 170\n",
      "Print kernel at center - 2.229 (x value=2.227), Index values of pot = 2101:2146 \n",
      "step 171\n",
      "Print kernel at center - 0.745 (x value=0.745), Index values of pot = 620:665 \n",
      "step 172\n",
      "Print kernel at center - 0.354 (x value=0.354), Index values of pot = 229:274 \n",
      "step 173\n",
      "Print kernel at center - 0.639 (x value=0.639), Index values of pot = 514:559 \n",
      "step 174\n",
      "Print kernel at center - 0.415 (x value=0.415), Index values of pot = 290:335 \n",
      "step 175\n",
      "Print kernel at center - 2.148 (x value=2.146), Index values of pot = 2020:2065 \n",
      "step 176\n",
      "Print kernel at center - 2.402 (x value=2.400), Index values of pot = 2274:2319 \n",
      "step 177\n",
      "Print kernel at center - 2.270 (x value=2.268), Index values of pot = 2142:2187 \n",
      "step 178\n",
      "Print kernel at center - 2.927 (x value=2.925), Index values of pot = 2799:2844 \n",
      "step 179\n",
      "Print kernel at center - 2.572 (x value=2.570), Index values of pot = 2444:2489 \n",
      "step 180\n",
      "Print kernel at center - 3.216 (x value=3.213), Index values of pot = 3087:3132 \n",
      "step 181\n",
      "Print kernel at center - 0.961 (x value=0.961), Index values of pot = 836:881 \n",
      "step 182\n",
      "Print kernel at center - 1.888 (x value=1.887), Index values of pot = 1761:1806 \n",
      "step 183\n",
      "Print kernel at center - 2.746 (x value=2.744), Index values of pot = 2618:2663 \n",
      "step 184\n",
      "Print kernel at center - 1.569 (x value=1.568), Index values of pot = 1443:1488 \n",
      "step 185\n",
      "Print kernel at center - 1.848 (x value=1.847), Index values of pot = 1721:1766 \n",
      "step 186\n",
      "Print kernel at center - 2.289 (x value=2.287), Index values of pot = 2161:2206 \n",
      "step 187\n",
      "Print kernel at center - 0.395 (x value=0.395), Index values of pot = 270:315 \n",
      "step 188\n",
      "Print kernel at center - 1.716 (x value=1.715), Index values of pot = 1590:1635 \n",
      "step 189\n",
      "Print kernel at center - 1.380 (x value=1.379), Index values of pot = 1254:1299 \n",
      "step 190\n",
      "Print kernel at center - 0.325 (x value=0.325), Index values of pot = 200:245 \n",
      "step 191\n",
      "Print kernel at center - 1.451 (x value=1.450), Index values of pot = 1325:1370 \n",
      "step 192\n",
      "Print kernel at center - 1.776 (x value=1.775), Index values of pot = 1650:1695 \n",
      "step 193\n",
      "Print kernel at center - 2.765 (x value=2.763), Index values of pot = 2637:2682 \n",
      "step 194\n",
      "Print kernel at center - 0.415 (x value=0.415), Index values of pot = 290:335 \n",
      "step 195\n",
      "Print kernel at center - 1.009 (x value=1.008), Index values of pot = 883:928 \n",
      "step 196\n",
      "Print kernel at center - 2.309 (x value=2.307), Index values of pot = 2181:2226 \n",
      "step 197\n",
      "Print kernel at center - 2.759 (x value=2.757), Index values of pot = 2631:2676 \n",
      "step 198\n",
      "Print kernel at center - 2.102 (x value=2.100), Index values of pot = 1974:2019 \n",
      "step 199\n",
      "Print kernel at center - 2.896 (x value=2.894), Index values of pot = 2768:2813 \n",
      "step 200\n",
      "Print kernel at center - 1.788 (x value=1.787), Index values of pot = 1662:1707 \n",
      "step 201\n",
      "Print kernel at center - 2.807 (x value=2.805), Index values of pot = 2679:2724 \n",
      "step 202\n",
      "Print kernel at center - 1.903 (x value=1.902), Index values of pot = 1776:1821 \n",
      "step 203\n",
      "Print kernel at center - 0.256 (x value=0.256), Index values of pot = 131:176 \n",
      "step 204\n",
      "Print kernel at center - 1.078 (x value=1.077), Index values of pot = 952:997 \n",
      "step 205\n",
      "Print kernel at center - 0.570 (x value=0.570), Index values of pot = 445:490 \n",
      "step 206\n",
      "Print kernel at center - 0.784 (x value=0.784), Index values of pot = 659:704 \n",
      "step 207\n",
      "Print kernel at center - 2.782 (x value=2.780), Index values of pot = 2654:2699 \n",
      "step 208\n",
      "Print kernel at center - 2.711 (x value=2.709), Index values of pot = 2583:2628 \n",
      "step 209\n",
      "Print kernel at center - 2.406 (x value=2.404), Index values of pot = 2278:2323 \n",
      "step 210\n",
      "Print kernel at center - 1.644 (x value=1.643), Index values of pot = 1518:1563 \n",
      "step 211\n",
      "Print kernel at center - 1.859 (x value=1.858), Index values of pot = 1732:1777 \n",
      "step 212\n",
      "Print kernel at center - 1.889 (x value=1.888), Index values of pot = 1762:1807 \n",
      "step 213\n",
      "Print kernel at center - 0.243 (x value=0.243), Index values of pot = 118:163 \n",
      "step 214\n",
      "Print kernel at center - 2.187 (x value=2.185), Index values of pot = 2059:2104 \n",
      "step 215\n",
      "Print kernel at center - 1.768 (x value=1.767), Index values of pot = 1642:1687 \n",
      "step 216\n",
      "Print kernel at center - 3.047 (x value=3.044), Index values of pot = 2918:2963 \n",
      "step 217\n",
      "Print kernel at center - 2.120 (x value=2.118), Index values of pot = 1992:2037 \n",
      "step 218\n",
      "Print kernel at center - 2.980 (x value=2.978), Index values of pot = 2852:2897 \n",
      "step 219\n",
      "Print kernel at center - 1.563 (x value=1.562), Index values of pot = 1437:1482 \n",
      "step 220\n",
      "Print kernel at center - 2.393 (x value=2.391), Index values of pot = 2265:2310 \n",
      "step 221\n",
      "Print kernel at center - 1.499 (x value=1.498), Index values of pot = 1373:1418 \n",
      "step 222\n",
      "Print kernel at center - 1.695 (x value=1.694), Index values of pot = 1569:1614 \n",
      "step 223\n",
      "Print kernel at center - 0.647 (x value=0.647), Index values of pot = 522:567 \n",
      "step 224\n",
      "Print kernel at center - 1.927 (x value=1.926), Index values of pot = 1800:1845 \n",
      "step 225\n",
      "Print kernel at center - 2.492 (x value=2.490), Index values of pot = 2364:2409 \n",
      "step 226\n",
      "Print kernel at center - 2.254 (x value=2.252), Index values of pot = 2126:2171 \n",
      "step 227\n",
      "Print kernel at center - 1.958 (x value=1.957), Index values of pot = 1831:1876 \n",
      "step 228\n",
      "Print kernel at center - 2.738 (x value=2.736), Index values of pot = 2610:2655 \n",
      "step 229\n",
      "Print kernel at center - 0.378 (x value=0.378), Index values of pot = 253:298 \n",
      "step 230\n",
      "Print kernel at center - 2.179 (x value=2.177), Index values of pot = 2051:2096 \n",
      "step 231\n",
      "Print kernel at center - 2.513 (x value=2.511), Index values of pot = 2385:2430 \n",
      "step 232\n",
      "Print kernel at center - 2.690 (x value=2.688), Index values of pot = 2562:2607 \n",
      "step 233\n",
      "Print kernel at center - 1.378 (x value=1.377), Index values of pot = 1252:1297 \n",
      "step 234\n",
      "Print kernel at center - 1.848 (x value=1.847), Index values of pot = 1721:1766 \n",
      "step 235\n",
      "Print kernel at center - 0.466 (x value=0.466), Index values of pot = 341:386 \n",
      "step 236\n",
      "Print kernel at center - 1.471 (x value=1.470), Index values of pot = 1345:1390 \n",
      "step 237\n",
      "Print kernel at center - 0.442 (x value=0.442), Index values of pot = 317:362 \n",
      "step 238\n",
      "Print kernel at center - 0.576 (x value=0.576), Index values of pot = 451:496 \n",
      "step 239\n",
      "Print kernel at center - 3.274 (x value=3.271), Index values of pot = 3145:3190 \n",
      "step 240\n",
      "Print kernel at center - 1.611 (x value=1.610), Index values of pot = 1485:1530 \n",
      "step 241\n",
      "Print kernel at center - 3.285 (x value=3.282), Index values of pot = 3156:3201 \n",
      "step 242\n",
      "Print kernel at center - 1.281 (x value=1.280), Index values of pot = 1155:1200 \n",
      "step 243\n",
      "Print kernel at center - 0.432 (x value=0.432), Index values of pot = 307:352 \n",
      "step 244\n",
      "Print kernel at center - 0.793 (x value=0.793), Index values of pot = 668:713 \n",
      "step 245\n",
      "Print kernel at center - 0.828 (x value=0.828), Index values of pot = 703:748 \n",
      "step 246\n",
      "Print kernel at center - 1.710 (x value=1.709), Index values of pot = 1584:1629 \n",
      "step 247\n",
      "Print kernel at center - 0.720 (x value=0.720), Index values of pot = 595:640 \n",
      "step 248\n",
      "Print kernel at center - 1.270 (x value=1.269), Index values of pot = 1144:1189 \n",
      "step 249\n",
      "Print kernel at center - 1.852 (x value=1.851), Index values of pot = 1725:1770 \n",
      "step 250\n",
      "Print kernel at center - 2.517 (x value=2.515), Index values of pot = 2389:2434 \n",
      "step 251\n",
      "Print kernel at center - 1.244 (x value=1.243), Index values of pot = 1118:1163 \n",
      "step 252\n",
      "Print kernel at center - 1.293 (x value=1.292), Index values of pot = 1167:1212 \n",
      "step 253\n",
      "Print kernel at center - 1.535 (x value=1.534), Index values of pot = 1409:1454 \n",
      "step 254\n",
      "Print kernel at center - 2.406 (x value=2.404), Index values of pot = 2278:2323 \n",
      "step 255\n",
      "Print kernel at center - 2.585 (x value=2.583), Index values of pot = 2457:2502 \n",
      "step 256\n",
      "Print kernel at center - 2.244 (x value=2.242), Index values of pot = 2116:2161 \n",
      "step 257\n",
      "Print kernel at center - 0.293 (x value=0.293), Index values of pot = 168:213 \n",
      "step 258\n",
      "Print kernel at center - 1.601 (x value=1.600), Index values of pot = 1475:1520 \n",
      "step 259\n",
      "Print kernel at center - 2.471 (x value=2.469), Index values of pot = 2343:2388 \n",
      "step 260\n",
      "Print kernel at center - 2.859 (x value=2.857), Index values of pot = 2731:2776 \n",
      "step 261\n",
      "Print kernel at center - 0.712 (x value=0.712), Index values of pot = 587:632 \n",
      "step 262\n",
      "Print kernel at center - 2.678 (x value=2.676), Index values of pot = 2550:2595 \n",
      "step 263\n",
      "Print kernel at center - 1.965 (x value=1.964), Index values of pot = 1838:1883 \n",
      "step 264\n",
      "Print kernel at center - 0.358 (x value=0.358), Index values of pot = 233:278 \n",
      "step 265\n",
      "Print kernel at center - 2.479 (x value=2.477), Index values of pot = 2351:2396 \n",
      "step 266\n",
      "Print kernel at center - 0.805 (x value=0.805), Index values of pot = 680:725 \n",
      "step 267\n",
      "Print kernel at center - 2.746 (x value=2.744), Index values of pot = 2618:2663 \n",
      "step 268\n",
      "Print kernel at center - 1.448 (x value=1.447), Index values of pot = 1322:1367 \n",
      "step 269\n",
      "Print kernel at center - 1.655 (x value=1.654), Index values of pot = 1529:1574 \n",
      "step 270\n",
      "Print kernel at center - 1.476 (x value=1.475), Index values of pot = 1350:1395 \n",
      "step 271\n",
      "Print kernel at center - 1.418 (x value=1.417), Index values of pot = 1292:1337 \n",
      "step 272\n",
      "Print kernel at center - 1.265 (x value=1.264), Index values of pot = 1139:1184 \n",
      "step 273\n",
      "Print kernel at center - 2.756 (x value=2.754), Index values of pot = 2628:2673 \n",
      "step 274\n",
      "Print kernel at center - 0.998 (x value=0.998), Index values of pot = 873:918 \n",
      "step 275\n",
      "Print kernel at center - 0.718 (x value=0.718), Index values of pot = 593:638 \n",
      "step 276\n",
      "Print kernel at center - 2.882 (x value=2.880), Index values of pot = 2754:2799 \n",
      "step 277\n",
      "Print kernel at center - 0.887 (x value=0.887), Index values of pot = 762:807 \n",
      "step 278\n",
      "Print kernel at center - 0.839 (x value=0.839), Index values of pot = 714:759 \n",
      "step 279\n",
      "Print kernel at center - 1.912 (x value=1.911), Index values of pot = 1785:1830 \n",
      "step 280\n",
      "Print kernel at center - 3.231 (x value=3.228), Index values of pot = 3102:3147 \n",
      "step 281\n",
      "Print kernel at center - 1.811 (x value=1.810), Index values of pot = 1685:1730 \n",
      "step 282\n",
      "Print kernel at center - 3.111 (x value=3.108), Index values of pot = 2982:3027 \n",
      "step 283\n",
      "Print kernel at center - 0.373 (x value=0.373), Index values of pot = 248:293 \n",
      "step 284\n",
      "Print kernel at center - 1.944 (x value=1.943), Index values of pot = 1817:1862 \n",
      "step 285\n",
      "Print kernel at center - 2.809 (x value=2.807), Index values of pot = 2681:2726 \n",
      "step 286\n",
      "Print kernel at center - 2.400 (x value=2.398), Index values of pot = 2272:2317 \n",
      "step 287\n",
      "Print kernel at center - 0.505 (x value=0.505), Index values of pot = 380:425 \n",
      "step 288\n",
      "Print kernel at center - 2.318 (x value=2.316), Index values of pot = 2190:2235 \n",
      "step 289\n",
      "Print kernel at center - 2.681 (x value=2.679), Index values of pot = 2553:2598 \n",
      "step 290\n",
      "Print kernel at center - 2.844 (x value=2.842), Index values of pot = 2716:2761 \n",
      "step 291\n",
      "Print kernel at center - 0.309 (x value=0.309), Index values of pot = 184:229 \n",
      "step 292\n",
      "Print kernel at center - 2.491 (x value=2.489), Index values of pot = 2363:2408 \n",
      "step 293\n",
      "Print kernel at center - 3.149 (x value=3.146), Index values of pot = 3020:3065 \n",
      "step 294\n",
      "Print kernel at center - 0.632 (x value=0.632), Index values of pot = 507:552 \n",
      "step 295\n",
      "Print kernel at center - 2.066 (x value=2.064), Index values of pot = 1938:1983 \n",
      "step 296\n",
      "Print kernel at center - 2.824 (x value=2.822), Index values of pot = 2696:2741 \n",
      "step 297\n",
      "Print kernel at center - 0.503 (x value=0.503), Index values of pot = 378:423 \n",
      "step 298\n",
      "Print kernel at center - 1.381 (x value=1.380), Index values of pot = 1255:1300 \n",
      "step 299\n",
      "Print kernel at center - 0.626 (x value=0.626), Index values of pot = 501:546 \n",
      "step 300\n",
      "Print kernel at center - 1.316 (x value=1.315), Index values of pot = 1190:1235 \n",
      "step 301\n",
      "Print kernel at center - 2.974 (x value=2.972), Index values of pot = 2846:2891 \n",
      "step 302\n",
      "Print kernel at center - 0.669 (x value=0.669), Index values of pot = 544:589 \n",
      "step 303\n",
      "Print kernel at center - 0.372 (x value=0.372), Index values of pot = 247:292 \n",
      "step 304\n",
      "Print kernel at center - 1.706 (x value=1.705), Index values of pot = 1580:1625 \n",
      "step 305\n",
      "Print kernel at center - 2.239 (x value=2.237), Index values of pot = 2111:2156 \n",
      "step 306\n",
      "Print kernel at center - 3.080 (x value=3.077), Index values of pot = 2951:2996 \n",
      "step 307\n",
      "Print kernel at center - 1.789 (x value=1.788), Index values of pot = 1663:1708 \n",
      "step 308\n",
      "Print kernel at center - 1.909 (x value=1.908), Index values of pot = 1782:1827 \n",
      "step 309\n",
      "Print kernel at center - 2.180 (x value=2.178), Index values of pot = 2052:2097 \n",
      "step 310\n",
      "Print kernel at center - 3.164 (x value=3.161), Index values of pot = 3035:3080 \n",
      "step 311\n",
      "Print kernel at center - 1.575 (x value=1.574), Index values of pot = 1449:1494 \n",
      "step 312\n",
      "Print kernel at center - 1.544 (x value=1.543), Index values of pot = 1418:1463 \n",
      "step 313\n",
      "Print kernel at center - 2.398 (x value=2.396), Index values of pot = 2270:2315 \n",
      "step 314\n",
      "Print kernel at center - 0.994 (x value=0.994), Index values of pot = 869:914 \n",
      "step 315\n",
      "Print kernel at center - 0.377 (x value=0.377), Index values of pot = 252:297 \n",
      "step 316\n",
      "Print kernel at center - 2.225 (x value=2.223), Index values of pot = 2097:2142 \n",
      "step 317\n",
      "Print kernel at center - 1.964 (x value=1.963), Index values of pot = 1837:1882 \n",
      "step 318\n",
      "Print kernel at center - 2.763 (x value=2.761), Index values of pot = 2635:2680 \n",
      "step 319\n",
      "Print kernel at center - 1.131 (x value=1.130), Index values of pot = 1005:1050 \n",
      "step 320\n",
      "Print kernel at center - 0.460 (x value=0.460), Index values of pot = 335:380 \n",
      "step 321\n",
      "Print kernel at center - 2.236 (x value=2.234), Index values of pot = 2108:2153 \n",
      "step 322\n",
      "Print kernel at center - 0.569 (x value=0.569), Index values of pot = 444:489 \n",
      "step 323\n",
      "Print kernel at center - 2.105 (x value=2.103), Index values of pot = 1977:2022 \n",
      "step 324\n",
      "Print kernel at center - 2.686 (x value=2.684), Index values of pot = 2558:2603 \n",
      "step 325\n",
      "Print kernel at center - 0.901 (x value=0.901), Index values of pot = 776:821 \n",
      "step 326\n",
      "Print kernel at center - 2.896 (x value=2.894), Index values of pot = 2768:2813 \n",
      "step 327\n",
      "Print kernel at center - 1.642 (x value=1.641), Index values of pot = 1516:1561 \n",
      "step 328\n",
      "Print kernel at center - 0.803 (x value=0.803), Index values of pot = 678:723 \n",
      "step 329\n",
      "Print kernel at center - 2.682 (x value=2.680), Index values of pot = 2554:2599 \n",
      "step 330\n",
      "Print kernel at center - 2.303 (x value=2.301), Index values of pot = 2175:2220 \n",
      "step 331\n",
      "Print kernel at center - 3.245 (x value=3.242), Index values of pot = 3116:3161 \n",
      "step 332\n",
      "Print kernel at center - 2.668 (x value=2.666), Index values of pot = 2540:2585 \n",
      "step 333\n",
      "Print kernel at center - 3.240 (x value=3.237), Index values of pot = 3111:3156 \n",
      "step 334\n",
      "Print kernel at center - 1.475 (x value=1.474), Index values of pot = 1349:1394 \n",
      "step 335\n",
      "Print kernel at center - 0.286 (x value=0.286), Index values of pot = 161:206 \n",
      "step 336\n",
      "Print kernel at center - 2.387 (x value=2.385), Index values of pot = 2259:2304 \n",
      "step 337\n",
      "Print kernel at center - 2.021 (x value=2.019), Index values of pot = 1893:1938 \n",
      "step 338\n",
      "Print kernel at center - 1.864 (x value=1.863), Index values of pot = 1737:1782 \n",
      "step 339\n",
      "Print kernel at center - 1.855 (x value=1.854), Index values of pot = 1728:1773 \n",
      "step 340\n",
      "Print kernel at center - 3.215 (x value=3.212), Index values of pot = 3086:3131 \n",
      "step 341\n",
      "Print kernel at center - 2.619 (x value=2.617), Index values of pot = 2491:2536 \n",
      "step 342\n",
      "Print kernel at center - 2.450 (x value=2.448), Index values of pot = 2322:2367 \n",
      "step 343\n",
      "Print kernel at center - 0.212 (x value=0.212), Index values of pot = 87:132 \n",
      "step 344\n",
      "Print kernel at center - 3.161 (x value=3.158), Index values of pot = 3032:3077 \n",
      "step 345\n",
      "Print kernel at center - 0.488 (x value=0.488), Index values of pot = 363:408 \n",
      "step 346\n",
      "Print kernel at center - 0.713 (x value=0.713), Index values of pot = 588:633 \n",
      "step 347\n",
      "Print kernel at center - 1.600 (x value=1.599), Index values of pot = 1474:1519 \n",
      "step 348\n",
      "Print kernel at center - 1.051 (x value=1.050), Index values of pot = 925:970 \n",
      "step 349\n",
      "Print kernel at center - 0.429 (x value=0.429), Index values of pot = 304:349 \n",
      "step 350\n",
      "Print kernel at center - 1.669 (x value=1.668), Index values of pot = 1543:1588 \n",
      "step 351\n",
      "Print kernel at center - 2.006 (x value=2.004), Index values of pot = 1878:1923 \n",
      "step 352\n",
      "Print kernel at center - 0.741 (x value=0.741), Index values of pot = 616:661 \n",
      "step 353\n",
      "Print kernel at center - 3.112 (x value=3.109), Index values of pot = 2983:3028 \n",
      "step 354\n",
      "Print kernel at center - 1.177 (x value=1.176), Index values of pot = 1051:1096 \n",
      "step 355\n",
      "Print kernel at center - 2.272 (x value=2.270), Index values of pot = 2144:2189 \n",
      "step 356\n",
      "Print kernel at center - 1.420 (x value=1.419), Index values of pot = 1294:1339 \n",
      "step 357\n",
      "Print kernel at center - 0.781 (x value=0.781), Index values of pot = 656:701 \n",
      "step 358\n",
      "Print kernel at center - 2.533 (x value=2.531), Index values of pot = 2405:2450 \n",
      "step 359\n",
      "Print kernel at center - 2.935 (x value=2.933), Index values of pot = 2807:2852 \n",
      "step 360\n",
      "Print kernel at center - 1.050 (x value=1.049), Index values of pot = 924:969 \n",
      "step 361\n",
      "Print kernel at center - 2.331 (x value=2.329), Index values of pot = 2203:2248 \n",
      "step 362\n",
      "Print kernel at center - 1.510 (x value=1.509), Index values of pot = 1384:1429 \n",
      "step 363\n",
      "Print kernel at center - 1.355 (x value=1.354), Index values of pot = 1229:1274 \n",
      "step 364\n",
      "Print kernel at center - 2.675 (x value=2.673), Index values of pot = 2547:2592 \n",
      "step 365\n",
      "Print kernel at center - 3.010 (x value=3.007), Index values of pot = 2881:2926 \n",
      "step 366\n",
      "Print kernel at center - 3.070 (x value=3.067), Index values of pot = 2941:2986 \n",
      "step 367\n",
      "Print kernel at center - 1.244 (x value=1.243), Index values of pot = 1118:1163 \n",
      "step 368\n",
      "Print kernel at center - 3.040 (x value=3.037), Index values of pot = 2911:2956 \n",
      "step 369\n",
      "Print kernel at center - 3.236 (x value=3.233), Index values of pot = 3107:3152 \n",
      "step 370\n",
      "Print kernel at center - 2.658 (x value=2.656), Index values of pot = 2530:2575 \n",
      "step 371\n",
      "Print kernel at center - 2.572 (x value=2.570), Index values of pot = 2444:2489 \n",
      "step 372\n",
      "Print kernel at center - 2.194 (x value=2.192), Index values of pot = 2066:2111 \n",
      "step 373\n",
      "Print kernel at center - 2.162 (x value=2.160), Index values of pot = 2034:2079 \n",
      "step 374\n",
      "Print kernel at center - 2.512 (x value=2.510), Index values of pot = 2384:2429 \n",
      "step 375\n",
      "Print kernel at center - 0.951 (x value=0.951), Index values of pot = 826:871 \n",
      "step 376\n",
      "Print kernel at center - 0.631 (x value=0.631), Index values of pot = 506:551 \n",
      "step 377\n",
      "Print kernel at center - 0.449 (x value=0.449), Index values of pot = 324:369 \n",
      "step 378\n",
      "Print kernel at center - 2.135 (x value=2.133), Index values of pot = 2007:2052 \n",
      "step 379\n",
      "Print kernel at center - 2.222 (x value=2.220), Index values of pot = 2094:2139 \n",
      "step 380\n",
      "Print kernel at center - 2.405 (x value=2.403), Index values of pot = 2277:2322 \n",
      "step 381\n",
      "Print kernel at center - 0.554 (x value=0.554), Index values of pot = 429:474 \n",
      "step 382\n",
      "Print kernel at center - 1.943 (x value=1.942), Index values of pot = 1816:1861 \n",
      "step 383\n",
      "Print kernel at center - 1.719 (x value=1.718), Index values of pot = 1593:1638 \n",
      "step 384\n",
      "Print kernel at center - 2.176 (x value=2.174), Index values of pot = 2048:2093 \n",
      "step 385\n",
      "Print kernel at center - 1.050 (x value=1.049), Index values of pot = 924:969 \n",
      "step 386\n",
      "Print kernel at center - 2.133 (x value=2.131), Index values of pot = 2005:2050 \n",
      "step 387\n",
      "Print kernel at center - 2.996 (x value=2.994), Index values of pot = 2868:2913 \n",
      "step 388\n",
      "Print kernel at center - 3.231 (x value=3.228), Index values of pot = 3102:3147 \n",
      "step 389\n",
      "Print kernel at center - 2.208 (x value=2.206), Index values of pot = 2080:2125 \n",
      "step 390\n",
      "Print kernel at center - 1.953 (x value=1.952), Index values of pot = 1826:1871 \n",
      "step 391\n",
      "Print kernel at center - 2.463 (x value=2.461), Index values of pot = 2335:2380 \n",
      "step 392\n",
      "Print kernel at center - 1.479 (x value=1.478), Index values of pot = 1353:1398 \n",
      "step 393\n",
      "Print kernel at center - 1.972 (x value=1.971), Index values of pot = 1845:1890 \n",
      "step 394\n",
      "Print kernel at center - 2.731 (x value=2.729), Index values of pot = 2603:2648 \n",
      "step 395\n",
      "Print kernel at center - 3.100 (x value=3.097), Index values of pot = 2971:3016 \n",
      "step 396\n",
      "Print kernel at center - 0.812 (x value=0.812), Index values of pot = 687:732 \n",
      "step 397\n",
      "Print kernel at center - 1.662 (x value=1.661), Index values of pot = 1536:1581 \n",
      "step 398\n",
      "Print kernel at center - 2.808 (x value=2.806), Index values of pot = 2680:2725 \n",
      "step 399\n",
      "Print kernel at center - 0.407 (x value=0.407), Index values of pot = 282:327 \n",
      "step 400\n",
      "Print kernel at center - 1.270 (x value=1.269), Index values of pot = 1144:1189 \n",
      "step 401\n",
      "Print kernel at center - 2.220 (x value=2.218), Index values of pot = 2092:2137 \n",
      "step 402\n",
      "Print kernel at center - 1.106 (x value=1.105), Index values of pot = 980:1025 \n",
      "step 403\n",
      "Print kernel at center - 2.909 (x value=2.907), Index values of pot = 2781:2826 \n",
      "step 404\n",
      "Print kernel at center - 1.669 (x value=1.668), Index values of pot = 1543:1588 \n",
      "step 405\n",
      "Print kernel at center - 0.688 (x value=0.688), Index values of pot = 563:608 \n",
      "step 406\n",
      "Print kernel at center - 0.882 (x value=0.882), Index values of pot = 757:802 \n",
      "step 407\n",
      "Print kernel at center - 0.731 (x value=0.731), Index values of pot = 606:651 \n",
      "step 408\n",
      "Print kernel at center - 1.337 (x value=1.336), Index values of pot = 1211:1256 \n",
      "step 409\n",
      "Print kernel at center - 2.487 (x value=2.485), Index values of pot = 2359:2404 \n",
      "step 410\n",
      "Print kernel at center - 1.150 (x value=1.149), Index values of pot = 1024:1069 \n",
      "step 411\n",
      "Print kernel at center - 0.216 (x value=0.216), Index values of pot = 91:136 \n",
      "step 412\n",
      "Print kernel at center - 3.297 (x value=3.294), Index values of pot = 3168:3213 \n",
      "step 413\n",
      "Print kernel at center - 1.347 (x value=1.346), Index values of pot = 1221:1266 \n",
      "step 414\n",
      "Print kernel at center - 2.021 (x value=2.019), Index values of pot = 1893:1938 \n",
      "step 415\n",
      "Print kernel at center - 1.276 (x value=1.275), Index values of pot = 1150:1195 \n",
      "step 416\n",
      "Print kernel at center - 3.202 (x value=3.199), Index values of pot = 3073:3118 \n",
      "step 417\n",
      "Print kernel at center - 1.216 (x value=1.215), Index values of pot = 1090:1135 \n",
      "step 418\n",
      "Print kernel at center - 2.994 (x value=2.992), Index values of pot = 2866:2911 \n",
      "step 419\n",
      "Print kernel at center - 0.866 (x value=0.866), Index values of pot = 741:786 \n",
      "step 420\n",
      "Print kernel at center - 1.938 (x value=1.937), Index values of pot = 1811:1856 \n",
      "step 421\n",
      "Print kernel at center - 1.201 (x value=1.200), Index values of pot = 1075:1120 \n",
      "step 422\n",
      "Print kernel at center - 1.796 (x value=1.795), Index values of pot = 1670:1715 \n",
      "step 423\n",
      "Print kernel at center - 0.652 (x value=0.652), Index values of pot = 527:572 \n",
      "step 424\n",
      "Print kernel at center - 2.005 (x value=2.003), Index values of pot = 1877:1922 \n",
      "step 425\n",
      "Print kernel at center - 0.541 (x value=0.541), Index values of pot = 416:461 \n",
      "step 426\n",
      "Print kernel at center - 2.264 (x value=2.262), Index values of pot = 2136:2181 \n",
      "step 427\n",
      "Print kernel at center - 1.865 (x value=1.864), Index values of pot = 1738:1783 \n",
      "step 428\n",
      "Print kernel at center - 2.784 (x value=2.782), Index values of pot = 2656:2701 \n",
      "step 429\n",
      "Print kernel at center - 1.191 (x value=1.190), Index values of pot = 1065:1110 \n",
      "step 430\n",
      "Print kernel at center - 0.670 (x value=0.670), Index values of pot = 545:590 \n",
      "step 431\n",
      "Print kernel at center - 1.119 (x value=1.118), Index values of pot = 993:1038 \n",
      "step 432\n",
      "Print kernel at center - 0.467 (x value=0.467), Index values of pot = 342:387 \n",
      "step 433\n",
      "Print kernel at center - 2.317 (x value=2.315), Index values of pot = 2189:2234 \n",
      "step 434\n",
      "Print kernel at center - 1.544 (x value=1.543), Index values of pot = 1418:1463 \n",
      "step 435\n",
      "Print kernel at center - 0.712 (x value=0.712), Index values of pot = 587:632 \n",
      "step 436\n",
      "Print kernel at center - 1.981 (x value=1.980), Index values of pot = 1854:1899 \n",
      "step 437\n",
      "Print kernel at center - 2.924 (x value=2.922), Index values of pot = 2796:2841 \n",
      "step 438\n",
      "Print kernel at center - 1.771 (x value=1.770), Index values of pot = 1645:1690 \n",
      "step 439\n",
      "Print kernel at center - 2.502 (x value=2.500), Index values of pot = 2374:2419 \n",
      "step 440\n",
      "Print kernel at center - 2.005 (x value=2.003), Index values of pot = 1877:1922 \n",
      "step 441\n",
      "Print kernel at center - 2.494 (x value=2.492), Index values of pot = 2366:2411 \n",
      "step 442\n",
      "Print kernel at center - 0.282 (x value=0.282), Index values of pot = 157:202 \n",
      "step 443\n",
      "Print kernel at center - 2.692 (x value=2.690), Index values of pot = 2564:2609 \n",
      "step 444\n",
      "Print kernel at center - 1.616 (x value=1.615), Index values of pot = 1490:1535 \n",
      "step 445\n",
      "Print kernel at center - 2.031 (x value=2.029), Index values of pot = 1903:1948 \n",
      "step 446\n",
      "Print kernel at center - 1.368 (x value=1.367), Index values of pot = 1242:1287 \n",
      "step 447\n",
      "Print kernel at center - 2.207 (x value=2.205), Index values of pot = 2079:2124 \n",
      "step 448\n",
      "Print kernel at center - 0.769 (x value=0.769), Index values of pot = 644:689 \n",
      "step 449\n",
      "Print kernel at center - 1.777 (x value=1.776), Index values of pot = 1651:1696 \n",
      "step 450\n",
      "Print kernel at center - 2.406 (x value=2.404), Index values of pot = 2278:2323 \n",
      "step 451\n",
      "Print kernel at center - 1.016 (x value=1.015), Index values of pot = 890:935 \n",
      "step 452\n",
      "Print kernel at center - 1.393 (x value=1.392), Index values of pot = 1267:1312 \n",
      "step 453\n",
      "Print kernel at center - 2.860 (x value=2.858), Index values of pot = 2732:2777 \n",
      "step 454\n",
      "Print kernel at center - 1.138 (x value=1.137), Index values of pot = 1012:1057 \n",
      "step 455\n",
      "Print kernel at center - 0.647 (x value=0.647), Index values of pot = 522:567 \n",
      "step 456\n",
      "Print kernel at center - 1.121 (x value=1.120), Index values of pot = 995:1040 \n",
      "step 457\n",
      "Print kernel at center - 1.543 (x value=1.542), Index values of pot = 1417:1462 \n",
      "step 458\n",
      "Print kernel at center - 1.864 (x value=1.863), Index values of pot = 1737:1782 \n",
      "step 459\n",
      "Print kernel at center - 2.323 (x value=2.321), Index values of pot = 2195:2240 \n",
      "step 460\n",
      "Print kernel at center - 2.870 (x value=2.868), Index values of pot = 2742:2787 \n",
      "step 461\n",
      "Print kernel at center - 1.289 (x value=1.288), Index values of pot = 1163:1208 \n",
      "step 462\n",
      "Print kernel at center - 2.992 (x value=2.990), Index values of pot = 2864:2909 \n",
      "step 463\n",
      "Print kernel at center - 1.597 (x value=1.596), Index values of pot = 1471:1516 \n",
      "step 464\n",
      "Print kernel at center - 1.352 (x value=1.351), Index values of pot = 1226:1271 \n",
      "step 465\n",
      "Print kernel at center - 1.592 (x value=1.591), Index values of pot = 1466:1511 \n",
      "step 466\n",
      "Print kernel at center - 1.791 (x value=1.790), Index values of pot = 1665:1710 \n",
      "step 467\n",
      "Print kernel at center - 0.791 (x value=0.791), Index values of pot = 666:711 \n",
      "step 468\n",
      "Print kernel at center - 2.882 (x value=2.880), Index values of pot = 2754:2799 \n",
      "step 469\n",
      "Print kernel at center - 2.588 (x value=2.586), Index values of pot = 2460:2505 \n",
      "step 470\n",
      "Print kernel at center - 1.441 (x value=1.440), Index values of pot = 1315:1360 \n",
      "step 471\n",
      "Print kernel at center - 1.081 (x value=1.080), Index values of pot = 955:1000 \n",
      "step 472\n",
      "Print kernel at center - 2.638 (x value=2.636), Index values of pot = 2510:2555 \n",
      "step 473\n",
      "Print kernel at center - 2.216 (x value=2.214), Index values of pot = 2088:2133 \n",
      "step 474\n",
      "Print kernel at center - 1.736 (x value=1.735), Index values of pot = 1610:1655 \n",
      "step 475\n",
      "Print kernel at center - 1.345 (x value=1.344), Index values of pot = 1219:1264 \n",
      "step 476\n",
      "Print kernel at center - 0.888 (x value=0.888), Index values of pot = 763:808 \n",
      "step 477\n",
      "Print kernel at center - 1.361 (x value=1.360), Index values of pot = 1235:1280 \n",
      "step 478\n",
      "Print kernel at center - 3.135 (x value=3.132), Index values of pot = 3006:3051 \n",
      "step 479\n",
      "Print kernel at center - 0.879 (x value=0.879), Index values of pot = 754:799 \n",
      "step 480\n",
      "Print kernel at center - 2.139 (x value=2.137), Index values of pot = 2011:2056 \n",
      "step 481\n",
      "Print kernel at center - 1.759 (x value=1.758), Index values of pot = 1633:1678 \n",
      "step 482\n",
      "Print kernel at center - 0.563 (x value=0.563), Index values of pot = 438:483 \n",
      "step 483\n",
      "Print kernel at center - 0.838 (x value=0.838), Index values of pot = 713:758 \n",
      "step 484\n",
      "Print kernel at center - 1.795 (x value=1.794), Index values of pot = 1669:1714 \n",
      "step 485\n",
      "Print kernel at center - 0.604 (x value=0.604), Index values of pot = 479:524 \n",
      "step 486\n",
      "Print kernel at center - 2.623 (x value=2.621), Index values of pot = 2495:2540 \n",
      "step 487\n",
      "Print kernel at center - 2.888 (x value=2.886), Index values of pot = 2760:2805 \n",
      "step 488\n",
      "Print kernel at center - 1.557 (x value=1.556), Index values of pot = 1431:1476 \n",
      "step 489\n",
      "Print kernel at center - 2.026 (x value=2.024), Index values of pot = 1898:1943 \n",
      "step 490\n",
      "Print kernel at center - 1.391 (x value=1.390), Index values of pot = 1265:1310 \n",
      "step 491\n",
      "Print kernel at center - 1.674 (x value=1.673), Index values of pot = 1548:1593 \n",
      "step 492\n",
      "Print kernel at center - 1.873 (x value=1.872), Index values of pot = 1746:1791 \n",
      "step 493\n",
      "Print kernel at center - 1.548 (x value=1.547), Index values of pot = 1422:1467 \n",
      "step 494\n",
      "Print kernel at center - 0.343 (x value=0.343), Index values of pot = 218:263 \n",
      "step 495\n",
      "Print kernel at center - 1.836 (x value=1.835), Index values of pot = 1709:1754 \n",
      "step 496\n",
      "Print kernel at center - 3.014 (x value=3.011), Index values of pot = 2885:2930 \n",
      "step 497\n",
      "Print kernel at center - 1.219 (x value=1.218), Index values of pot = 1093:1138 \n",
      "step 498\n",
      "Print kernel at center - 1.348 (x value=1.347), Index values of pot = 1222:1267 \n",
      "step 499\n",
      "Print kernel at center - 3.215 (x value=3.212), Index values of pot = 3086:3131 \n",
      "step 500\n",
      "Print kernel at center - 1.258 (x value=1.257), Index values of pot = 1132:1177 \n",
      "step 501\n",
      "Print kernel at center - 1.556 (x value=1.555), Index values of pot = 1430:1475 \n",
      "step 502\n",
      "Print kernel at center - 1.927 (x value=1.926), Index values of pot = 1800:1845 \n",
      "step 503\n",
      "Print kernel at center - 2.101 (x value=2.099), Index values of pot = 1973:2018 \n",
      "step 504\n",
      "Print kernel at center - 3.092 (x value=3.089), Index values of pot = 2963:3008 \n",
      "step 505\n",
      "Print kernel at center - 0.248 (x value=0.248), Index values of pot = 123:168 \n",
      "step 506\n",
      "Print kernel at center - 0.267 (x value=0.267), Index values of pot = 142:187 \n",
      "step 507\n",
      "Print kernel at center - 1.662 (x value=1.661), Index values of pot = 1536:1581 \n",
      "step 508\n",
      "Print kernel at center - 1.666 (x value=1.665), Index values of pot = 1540:1585 \n",
      "step 509\n",
      "Print kernel at center - 1.470 (x value=1.469), Index values of pot = 1344:1389 \n",
      "step 510\n",
      "Print kernel at center - 1.144 (x value=1.143), Index values of pot = 1018:1063 \n",
      "step 511\n",
      "Print kernel at center - 0.683 (x value=0.683), Index values of pot = 558:603 \n",
      "step 512\n",
      "Print kernel at center - 1.064 (x value=1.063), Index values of pot = 938:983 \n",
      "step 513\n",
      "Print kernel at center - 2.056 (x value=2.054), Index values of pot = 1928:1973 \n",
      "step 514\n",
      "Print kernel at center - 0.494 (x value=0.494), Index values of pot = 369:414 \n",
      "step 515\n",
      "Print kernel at center - 3.194 (x value=3.191), Index values of pot = 3065:3110 \n",
      "step 516\n",
      "Print kernel at center - 1.969 (x value=1.968), Index values of pot = 1842:1887 \n",
      "step 517\n",
      "Print kernel at center - 1.306 (x value=1.305), Index values of pot = 1180:1225 \n",
      "step 518\n",
      "Print kernel at center - 3.111 (x value=3.108), Index values of pot = 2982:3027 \n",
      "step 519\n",
      "Print kernel at center - 2.127 (x value=2.125), Index values of pot = 1999:2044 \n",
      "step 520\n",
      "Print kernel at center - 2.918 (x value=2.916), Index values of pot = 2790:2835 \n",
      "step 521\n",
      "Print kernel at center - 2.820 (x value=2.818), Index values of pot = 2692:2737 \n",
      "step 522\n",
      "Print kernel at center - 1.448 (x value=1.447), Index values of pot = 1322:1367 \n",
      "step 523\n",
      "Print kernel at center - 3.299 (x value=3.296), Index values of pot = 3170:3215 \n",
      "step 524\n",
      "Print kernel at center - 2.314 (x value=2.312), Index values of pot = 2186:2231 \n",
      "step 525\n",
      "Print kernel at center - 1.070 (x value=1.069), Index values of pot = 944:989 \n",
      "step 526\n",
      "Print kernel at center - 1.810 (x value=1.809), Index values of pot = 1684:1729 \n",
      "step 527\n",
      "Print kernel at center - 1.953 (x value=1.952), Index values of pot = 1826:1871 \n",
      "step 528\n",
      "Print kernel at center - 1.223 (x value=1.222), Index values of pot = 1097:1142 \n",
      "step 529\n",
      "Print kernel at center - 2.632 (x value=2.630), Index values of pot = 2504:2549 \n",
      "step 530\n",
      "Print kernel at center - 2.479 (x value=2.477), Index values of pot = 2351:2396 \n",
      "step 531\n",
      "Print kernel at center - 1.538 (x value=1.537), Index values of pot = 1412:1457 \n",
      "step 532\n",
      "Print kernel at center - 1.498 (x value=1.497), Index values of pot = 1372:1417 \n",
      "step 533\n",
      "Print kernel at center - 0.841 (x value=0.841), Index values of pot = 716:761 \n",
      "step 534\n",
      "Print kernel at center - 2.825 (x value=2.823), Index values of pot = 2697:2742 \n",
      "step 535\n",
      "Print kernel at center - 0.359 (x value=0.359), Index values of pot = 234:279 \n",
      "step 536\n",
      "Print kernel at center - 1.468 (x value=1.467), Index values of pot = 1342:1387 \n",
      "step 537\n",
      "Print kernel at center - 0.338 (x value=0.338), Index values of pot = 213:258 \n",
      "step 538\n",
      "Print kernel at center - 0.385 (x value=0.385), Index values of pot = 260:305 \n",
      "step 539\n",
      "Print kernel at center - 2.507 (x value=2.505), Index values of pot = 2379:2424 \n",
      "step 540\n",
      "Print kernel at center - 2.097 (x value=2.095), Index values of pot = 1969:2014 \n",
      "step 541\n",
      "Print kernel at center - 2.874 (x value=2.872), Index values of pot = 2746:2791 \n",
      "step 542\n",
      "Print kernel at center - 0.699 (x value=0.699), Index values of pot = 574:619 \n",
      "step 543\n",
      "Print kernel at center - 1.379 (x value=1.378), Index values of pot = 1253:1298 \n",
      "step 544\n",
      "Print kernel at center - 2.685 (x value=2.683), Index values of pot = 2557:2602 \n",
      "step 545\n",
      "Print kernel at center - 1.643 (x value=1.642), Index values of pot = 1517:1562 \n",
      "step 546\n",
      "Print kernel at center - 1.038 (x value=1.037), Index values of pot = 912:957 \n",
      "step 547\n",
      "Print kernel at center - 2.776 (x value=2.774), Index values of pot = 2648:2693 \n",
      "step 548\n",
      "Print kernel at center - 2.638 (x value=2.636), Index values of pot = 2510:2555 \n",
      "step 549\n",
      "Print kernel at center - 1.258 (x value=1.257), Index values of pot = 1132:1177 \n",
      "step 550\n",
      "Print kernel at center - 1.674 (x value=1.673), Index values of pot = 1548:1593 \n",
      "step 551\n",
      "Print kernel at center - 2.569 (x value=2.567), Index values of pot = 2441:2486 \n",
      "step 552\n",
      "Print kernel at center - 1.053 (x value=1.052), Index values of pot = 927:972 \n",
      "step 553\n",
      "Print kernel at center - 2.838 (x value=2.836), Index values of pot = 2710:2755 \n",
      "step 554\n",
      "Print kernel at center - 1.810 (x value=1.809), Index values of pot = 1684:1729 \n",
      "step 555\n",
      "Print kernel at center - 3.142 (x value=3.139), Index values of pot = 3013:3058 \n",
      "step 556\n",
      "Print kernel at center - 1.192 (x value=1.191), Index values of pot = 1066:1111 \n",
      "step 557\n",
      "Print kernel at center - 2.886 (x value=2.884), Index values of pot = 2758:2803 \n",
      "step 558\n",
      "Print kernel at center - 2.831 (x value=2.829), Index values of pot = 2703:2748 \n",
      "step 559\n",
      "Print kernel at center - 0.567 (x value=0.567), Index values of pot = 442:487 \n",
      "step 560\n",
      "Print kernel at center - 2.155 (x value=2.153), Index values of pot = 2027:2072 \n",
      "step 561\n",
      "Print kernel at center - 0.840 (x value=0.840), Index values of pot = 715:760 \n",
      "step 562\n",
      "Print kernel at center - 1.740 (x value=1.739), Index values of pot = 1614:1659 \n",
      "step 563\n",
      "Print kernel at center - 1.114 (x value=1.113), Index values of pot = 988:1033 \n",
      "step 564\n",
      "Print kernel at center - 3.031 (x value=3.028), Index values of pot = 2902:2947 \n",
      "step 565\n",
      "Print kernel at center - 1.992 (x value=1.991), Index values of pot = 1865:1910 \n",
      "step 566\n",
      "Print kernel at center - 2.255 (x value=2.253), Index values of pot = 2127:2172 \n",
      "step 567\n",
      "Print kernel at center - 0.254 (x value=0.254), Index values of pot = 129:174 \n",
      "step 568\n",
      "Print kernel at center - 2.549 (x value=2.547), Index values of pot = 2421:2466 \n",
      "step 569\n",
      "Print kernel at center - 2.008 (x value=2.006), Index values of pot = 1880:1925 \n",
      "step 570\n",
      "Print kernel at center - 2.634 (x value=2.632), Index values of pot = 2506:2551 \n",
      "step 571\n",
      "Print kernel at center - 2.740 (x value=2.738), Index values of pot = 2612:2657 \n",
      "step 572\n",
      "Print kernel at center - 0.455 (x value=0.455), Index values of pot = 330:375 \n",
      "step 573\n",
      "Print kernel at center - 2.784 (x value=2.782), Index values of pot = 2656:2701 \n",
      "step 574\n",
      "Print kernel at center - 3.149 (x value=3.146), Index values of pot = 3020:3065 \n",
      "step 575\n",
      "Print kernel at center - 2.957 (x value=2.955), Index values of pot = 2829:2874 \n",
      "step 576\n",
      "Print kernel at center - 2.130 (x value=2.128), Index values of pot = 2002:2047 \n",
      "step 577\n",
      "Print kernel at center - 1.585 (x value=1.584), Index values of pot = 1459:1504 \n",
      "step 578\n",
      "Print kernel at center - 1.875 (x value=1.874), Index values of pot = 1748:1793 \n",
      "step 579\n",
      "Print kernel at center - 1.341 (x value=1.340), Index values of pot = 1215:1260 \n",
      "step 580\n",
      "Print kernel at center - 1.539 (x value=1.538), Index values of pot = 1413:1458 \n",
      "step 581\n",
      "Print kernel at center - 3.008 (x value=3.005), Index values of pot = 2879:2924 \n",
      "step 582\n",
      "Print kernel at center - 2.743 (x value=2.741), Index values of pot = 2615:2660 \n",
      "step 583\n",
      "Print kernel at center - 0.438 (x value=0.438), Index values of pot = 313:358 \n",
      "step 584\n",
      "Print kernel at center - 1.842 (x value=1.841), Index values of pot = 1715:1760 \n",
      "step 585\n",
      "Print kernel at center - 3.093 (x value=3.090), Index values of pot = 2964:3009 \n",
      "step 586\n",
      "Print kernel at center - 1.366 (x value=1.365), Index values of pot = 1240:1285 \n",
      "step 587\n",
      "Print kernel at center - 1.966 (x value=1.965), Index values of pot = 1839:1884 \n",
      "step 588\n",
      "Print kernel at center - 1.919 (x value=1.918), Index values of pot = 1792:1837 \n",
      "step 589\n",
      "Print kernel at center - 2.935 (x value=2.933), Index values of pot = 2807:2852 \n",
      "step 590\n",
      "Print kernel at center - 0.997 (x value=0.997), Index values of pot = 872:917 \n",
      "step 591\n",
      "Print kernel at center - 1.815 (x value=1.814), Index values of pot = 1688:1733 \n",
      "step 592\n",
      "Print kernel at center - 1.147 (x value=1.146), Index values of pot = 1021:1066 \n",
      "step 593\n",
      "Print kernel at center - 2.755 (x value=2.753), Index values of pot = 2627:2672 \n",
      "step 594\n",
      "Print kernel at center - 2.767 (x value=2.765), Index values of pot = 2639:2684 \n",
      "step 595\n",
      "Print kernel at center - 3.213 (x value=3.210), Index values of pot = 3084:3129 \n",
      "step 596\n",
      "Print kernel at center - 1.170 (x value=1.169), Index values of pot = 1044:1089 \n",
      "step 597\n",
      "Print kernel at center - 2.494 (x value=2.492), Index values of pot = 2366:2411 \n",
      "step 598\n",
      "Print kernel at center - 1.547 (x value=1.546), Index values of pot = 1421:1466 \n",
      "step 599\n",
      "Print kernel at center - 1.917 (x value=1.916), Index values of pot = 1790:1835 \n",
      "step 600\n",
      "Print kernel at center - 1.674 (x value=1.673), Index values of pot = 1548:1593 \n",
      "step 601\n",
      "Print kernel at center - 2.892 (x value=2.890), Index values of pot = 2764:2809 \n",
      "step 602\n",
      "Print kernel at center - 1.325 (x value=1.324), Index values of pot = 1199:1244 \n",
      "step 603\n",
      "Print kernel at center - 3.000 (x value=2.998), Index values of pot = 2872:2917 \n",
      "step 604\n",
      "Print kernel at center - 2.561 (x value=2.559), Index values of pot = 2433:2478 \n",
      "step 605\n",
      "Print kernel at center - 3.069 (x value=3.066), Index values of pot = 2940:2985 \n",
      "step 606\n",
      "Print kernel at center - 0.492 (x value=0.492), Index values of pot = 367:412 \n",
      "step 607\n",
      "Print kernel at center - 2.940 (x value=2.938), Index values of pot = 2812:2857 \n",
      "step 608\n",
      "Print kernel at center - 2.042 (x value=2.040), Index values of pot = 1914:1959 \n",
      "step 609\n",
      "Print kernel at center - 2.732 (x value=2.730), Index values of pot = 2604:2649 \n",
      "step 610\n",
      "Print kernel at center - 2.151 (x value=2.149), Index values of pot = 2023:2068 \n",
      "step 611\n",
      "Print kernel at center - 3.103 (x value=3.100), Index values of pot = 2974:3019 \n",
      "step 612\n",
      "Print kernel at center - 1.218 (x value=1.217), Index values of pot = 1092:1137 \n",
      "step 613\n",
      "Print kernel at center - 0.461 (x value=0.461), Index values of pot = 336:381 \n",
      "step 614\n",
      "Print kernel at center - 1.584 (x value=1.583), Index values of pot = 1458:1503 \n",
      "step 615\n",
      "Print kernel at center - 3.167 (x value=3.164), Index values of pot = 3038:3083 \n",
      "step 616\n",
      "Print kernel at center - 2.997 (x value=2.995), Index values of pot = 2869:2914 \n",
      "step 617\n",
      "Print kernel at center - 0.967 (x value=0.967), Index values of pot = 842:887 \n",
      "step 618\n",
      "Print kernel at center - 1.202 (x value=1.201), Index values of pot = 1076:1121 \n",
      "step 619\n",
      "Print kernel at center - 1.233 (x value=1.232), Index values of pot = 1107:1152 \n",
      "step 620\n",
      "Print kernel at center - 2.323 (x value=2.321), Index values of pot = 2195:2240 \n",
      "step 621\n",
      "Print kernel at center - 1.817 (x value=1.816), Index values of pot = 1690:1735 \n",
      "step 622\n",
      "Print kernel at center - 3.211 (x value=3.208), Index values of pot = 3082:3127 \n",
      "step 623\n",
      "Print kernel at center - 2.067 (x value=2.065), Index values of pot = 1939:1984 \n",
      "step 624\n",
      "Print kernel at center - 2.895 (x value=2.893), Index values of pot = 2767:2812 \n",
      "step 625\n",
      "Print kernel at center - 0.870 (x value=0.870), Index values of pot = 745:790 \n",
      "step 626\n",
      "Print kernel at center - 3.108 (x value=3.105), Index values of pot = 2979:3024 \n",
      "step 627\n",
      "Print kernel at center - 2.725 (x value=2.723), Index values of pot = 2597:2642 \n",
      "step 628\n",
      "Print kernel at center - 1.487 (x value=1.486), Index values of pot = 1361:1406 \n",
      "step 629\n",
      "Print kernel at center - 0.663 (x value=0.663), Index values of pot = 538:583 \n",
      "step 630\n",
      "Print kernel at center - 2.253 (x value=2.251), Index values of pot = 2125:2170 \n",
      "step 631\n",
      "Print kernel at center - 1.075 (x value=1.074), Index values of pot = 949:994 \n",
      "step 632\n",
      "Print kernel at center - 1.687 (x value=1.686), Index values of pot = 1561:1606 \n",
      "step 633\n",
      "Print kernel at center - 3.079 (x value=3.076), Index values of pot = 2950:2995 \n",
      "step 634\n",
      "Print kernel at center - 2.442 (x value=2.440), Index values of pot = 2314:2359 \n",
      "step 635\n",
      "Print kernel at center - 1.095 (x value=1.094), Index values of pot = 969:1014 \n",
      "step 636\n",
      "Print kernel at center - 2.754 (x value=2.752), Index values of pot = 2626:2671 \n",
      "step 637\n",
      "Print kernel at center - 1.591 (x value=1.590), Index values of pot = 1465:1510 \n",
      "step 638\n",
      "Print kernel at center - 2.453 (x value=2.451), Index values of pot = 2325:2370 \n",
      "step 639\n",
      "Print kernel at center - 2.011 (x value=2.009), Index values of pot = 1883:1928 \n",
      "step 640\n",
      "Print kernel at center - 0.541 (x value=0.541), Index values of pot = 416:461 \n",
      "step 641\n",
      "Print kernel at center - 0.560 (x value=0.560), Index values of pot = 435:480 \n",
      "step 642\n",
      "Print kernel at center - 0.573 (x value=0.573), Index values of pot = 448:493 \n",
      "step 643\n",
      "Print kernel at center - 2.145 (x value=2.143), Index values of pot = 2017:2062 \n",
      "step 644\n",
      "Print kernel at center - 0.659 (x value=0.659), Index values of pot = 534:579 \n",
      "step 645\n",
      "Print kernel at center - 0.206 (x value=0.206), Index values of pot = 81:126 \n",
      "step 646\n",
      "Print kernel at center - 2.157 (x value=2.155), Index values of pot = 2029:2074 \n",
      "step 647\n",
      "Print kernel at center - 2.437 (x value=2.435), Index values of pot = 2309:2354 \n",
      "step 648\n",
      "Print kernel at center - 2.473 (x value=2.471), Index values of pot = 2345:2390 \n",
      "step 649\n",
      "Print kernel at center - 2.813 (x value=2.811), Index values of pot = 2685:2730 \n",
      "step 650\n",
      "Print kernel at center - 0.676 (x value=0.676), Index values of pot = 551:596 \n",
      "step 651\n",
      "Print kernel at center - 2.384 (x value=2.382), Index values of pot = 2256:2301 \n",
      "step 652\n",
      "Print kernel at center - 0.788 (x value=0.788), Index values of pot = 663:708 \n",
      "step 653\n",
      "Print kernel at center - 1.452 (x value=1.451), Index values of pot = 1326:1371 \n",
      "step 654\n",
      "Print kernel at center - 1.108 (x value=1.107), Index values of pot = 982:1027 \n",
      "step 655\n",
      "Print kernel at center - 0.975 (x value=0.975), Index values of pot = 850:895 \n",
      "step 656\n",
      "Print kernel at center - 3.033 (x value=3.030), Index values of pot = 2904:2949 \n",
      "step 657\n",
      "Print kernel at center - 1.606 (x value=1.605), Index values of pot = 1480:1525 \n",
      "step 658\n",
      "Print kernel at center - 0.364 (x value=0.364), Index values of pot = 239:284 \n",
      "step 659\n",
      "Print kernel at center - 1.337 (x value=1.336), Index values of pot = 1211:1256 \n",
      "step 660\n",
      "Print kernel at center - 2.302 (x value=2.300), Index values of pot = 2174:2219 \n",
      "step 661\n",
      "Print kernel at center - 3.013 (x value=3.010), Index values of pot = 2884:2929 \n",
      "step 662\n",
      "Print kernel at center - 1.158 (x value=1.157), Index values of pot = 1032:1077 \n",
      "step 663\n",
      "Print kernel at center - 3.131 (x value=3.128), Index values of pot = 3002:3047 \n",
      "step 664\n",
      "Print kernel at center - 0.701 (x value=0.701), Index values of pot = 576:621 \n",
      "step 665\n",
      "Print kernel at center - 0.345 (x value=0.345), Index values of pot = 220:265 \n",
      "step 666\n",
      "Print kernel at center - 1.307 (x value=1.306), Index values of pot = 1181:1226 \n",
      "step 667\n",
      "Print kernel at center - 1.168 (x value=1.167), Index values of pot = 1042:1087 \n",
      "step 668\n",
      "Print kernel at center - 1.641 (x value=1.640), Index values of pot = 1515:1560 \n",
      "step 669\n",
      "Print kernel at center - 2.889 (x value=2.887), Index values of pot = 2761:2806 \n",
      "step 670\n",
      "Print kernel at center - 1.709 (x value=1.708), Index values of pot = 1583:1628 \n",
      "step 671\n",
      "Print kernel at center - 2.312 (x value=2.310), Index values of pot = 2184:2229 \n",
      "step 672\n",
      "Print kernel at center - 1.722 (x value=1.721), Index values of pot = 1596:1641 \n",
      "step 673\n",
      "Print kernel at center - 2.057 (x value=2.055), Index values of pot = 1929:1974 \n",
      "step 674\n",
      "Print kernel at center - 2.772 (x value=2.770), Index values of pot = 2644:2689 \n",
      "step 675\n",
      "Print kernel at center - 3.075 (x value=3.072), Index values of pot = 2946:2991 \n",
      "step 676\n",
      "Print kernel at center - 1.745 (x value=1.744), Index values of pot = 1619:1664 \n",
      "step 677\n",
      "Print kernel at center - 1.948 (x value=1.947), Index values of pot = 1821:1866 \n",
      "step 678\n",
      "Print kernel at center - 2.727 (x value=2.725), Index values of pot = 2599:2644 \n",
      "step 679\n",
      "Print kernel at center - 2.964 (x value=2.962), Index values of pot = 2836:2881 \n",
      "step 680\n",
      "Print kernel at center - 2.651 (x value=2.649), Index values of pot = 2523:2568 \n",
      "step 681\n",
      "Print kernel at center - 2.732 (x value=2.730), Index values of pot = 2604:2649 \n",
      "step 682\n",
      "Print kernel at center - 2.496 (x value=2.494), Index values of pot = 2368:2413 \n",
      "step 683\n",
      "Print kernel at center - 1.024 (x value=1.023), Index values of pot = 898:943 \n",
      "step 684\n",
      "Print kernel at center - 1.986 (x value=1.985), Index values of pot = 1859:1904 \n",
      "step 685\n",
      "Print kernel at center - 1.737 (x value=1.736), Index values of pot = 1611:1656 \n",
      "step 686\n",
      "Print kernel at center - 2.968 (x value=2.966), Index values of pot = 2840:2885 \n",
      "step 687\n",
      "Print kernel at center - 1.858 (x value=1.857), Index values of pot = 1731:1776 \n",
      "step 688\n",
      "Print kernel at center - 2.744 (x value=2.742), Index values of pot = 2616:2661 \n",
      "step 689\n",
      "Print kernel at center - 2.366 (x value=2.364), Index values of pot = 2238:2283 \n",
      "step 690\n",
      "Print kernel at center - 3.198 (x value=3.195), Index values of pot = 3069:3114 \n",
      "step 691\n",
      "Print kernel at center - 2.204 (x value=2.202), Index values of pot = 2076:2121 \n",
      "step 692\n",
      "Print kernel at center - 1.003 (x value=1.002), Index values of pot = 877:922 \n",
      "step 693\n",
      "Print kernel at center - 1.895 (x value=1.894), Index values of pot = 1768:1813 \n",
      "step 694\n",
      "Print kernel at center - 1.382 (x value=1.381), Index values of pot = 1256:1301 \n",
      "step 695\n",
      "Print kernel at center - 2.446 (x value=2.444), Index values of pot = 2318:2363 \n",
      "step 696\n",
      "Print kernel at center - 0.818 (x value=0.818), Index values of pot = 693:738 \n",
      "step 697\n",
      "Print kernel at center - 0.787 (x value=0.787), Index values of pot = 662:707 \n",
      "step 698\n",
      "Print kernel at center - 2.749 (x value=2.747), Index values of pot = 2621:2666 \n",
      "step 699\n",
      "Print kernel at center - 1.540 (x value=1.539), Index values of pot = 1414:1459 \n",
      "step 700\n",
      "Print kernel at center - 1.228 (x value=1.227), Index values of pot = 1102:1147 \n",
      "step 701\n",
      "Print kernel at center - 1.797 (x value=1.796), Index values of pot = 1671:1716 \n",
      "step 702\n",
      "Print kernel at center - 2.720 (x value=2.718), Index values of pot = 2592:2637 \n",
      "step 703\n",
      "Print kernel at center - 2.295 (x value=2.293), Index values of pot = 2167:2212 \n",
      "step 704\n",
      "Print kernel at center - 1.492 (x value=1.491), Index values of pot = 1366:1411 \n",
      "step 705\n",
      "Print kernel at center - 1.949 (x value=1.948), Index values of pot = 1822:1867 \n",
      "step 706\n",
      "Print kernel at center - 0.938 (x value=0.938), Index values of pot = 813:858 \n",
      "step 707\n",
      "Print kernel at center - 3.094 (x value=3.091), Index values of pot = 2965:3010 \n",
      "step 708\n",
      "Print kernel at center - 3.041 (x value=3.038), Index values of pot = 2912:2957 \n",
      "step 709\n",
      "Print kernel at center - 0.408 (x value=0.408), Index values of pot = 283:328 \n",
      "step 710\n",
      "Print kernel at center - 2.295 (x value=2.293), Index values of pot = 2167:2212 \n",
      "step 711\n",
      "Print kernel at center - 1.680 (x value=1.679), Index values of pot = 1554:1599 \n",
      "step 712\n",
      "Print kernel at center - 2.062 (x value=2.060), Index values of pot = 1934:1979 \n",
      "step 713\n",
      "Print kernel at center - 1.100 (x value=1.099), Index values of pot = 974:1019 \n",
      "step 714\n",
      "Print kernel at center - 0.698 (x value=0.698), Index values of pot = 573:618 \n",
      "step 715\n",
      "Print kernel at center - 2.995 (x value=2.993), Index values of pot = 2867:2912 \n",
      "step 716\n",
      "Print kernel at center - 0.563 (x value=0.563), Index values of pot = 438:483 \n",
      "step 717\n",
      "Print kernel at center - 1.263 (x value=1.262), Index values of pot = 1137:1182 \n",
      "step 718\n",
      "Print kernel at center - 3.276 (x value=3.273), Index values of pot = 3147:3192 \n",
      "step 719\n",
      "Print kernel at center - 1.791 (x value=1.790), Index values of pot = 1665:1710 \n",
      "step 720\n",
      "Print kernel at center - 2.085 (x value=2.083), Index values of pot = 1957:2002 \n",
      "step 721\n",
      "Print kernel at center - 1.577 (x value=1.576), Index values of pot = 1451:1496 \n",
      "step 722\n",
      "Print kernel at center - 0.584 (x value=0.584), Index values of pot = 459:504 \n",
      "step 723\n",
      "Print kernel at center - 1.739 (x value=1.738), Index values of pot = 1613:1658 \n",
      "step 724\n",
      "Print kernel at center - 3.158 (x value=3.155), Index values of pot = 3029:3074 \n",
      "step 725\n",
      "Print kernel at center - 1.561 (x value=1.560), Index values of pot = 1435:1480 \n",
      "step 726\n",
      "Print kernel at center - 2.916 (x value=2.914), Index values of pot = 2788:2833 \n",
      "step 727\n",
      "Print kernel at center - 1.764 (x value=1.763), Index values of pot = 1638:1683 \n",
      "step 728\n",
      "Print kernel at center - 3.079 (x value=3.076), Index values of pot = 2950:2995 \n",
      "step 729\n",
      "Print kernel at center - 1.432 (x value=1.431), Index values of pot = 1306:1351 \n",
      "step 730\n",
      "Print kernel at center - 2.150 (x value=2.148), Index values of pot = 2022:2067 \n",
      "step 731\n",
      "Print kernel at center - 2.836 (x value=2.834), Index values of pot = 2708:2753 \n",
      "step 732\n",
      "Print kernel at center - 0.885 (x value=0.885), Index values of pot = 760:805 \n",
      "step 733\n",
      "Print kernel at center - 0.568 (x value=0.568), Index values of pot = 443:488 \n",
      "step 734\n",
      "Print kernel at center - 1.002 (x value=1.001), Index values of pot = 876:921 \n",
      "step 735\n",
      "Print kernel at center - 2.953 (x value=2.951), Index values of pot = 2825:2870 \n",
      "step 736\n",
      "Print kernel at center - 2.897 (x value=2.895), Index values of pot = 2769:2814 \n",
      "step 737\n",
      "Print kernel at center - 0.400 (x value=0.400), Index values of pot = 275:320 \n",
      "step 738\n",
      "Print kernel at center - 2.885 (x value=2.883), Index values of pot = 2757:2802 \n",
      "step 739\n",
      "Print kernel at center - 1.442 (x value=1.441), Index values of pot = 1316:1361 \n",
      "step 740\n",
      "Print kernel at center - 2.726 (x value=2.724), Index values of pot = 2598:2643 \n",
      "step 741\n",
      "Print kernel at center - 1.268 (x value=1.267), Index values of pot = 1142:1187 \n",
      "step 742\n",
      "Print kernel at center - 1.373 (x value=1.372), Index values of pot = 1247:1292 \n",
      "step 743\n",
      "Print kernel at center - 0.901 (x value=0.901), Index values of pot = 776:821 \n",
      "step 744\n",
      "Print kernel at center - 2.348 (x value=2.346), Index values of pot = 2220:2265 \n",
      "step 745\n",
      "Print kernel at center - 0.858 (x value=0.858), Index values of pot = 733:778 \n",
      "step 746\n",
      "Print kernel at center - 1.328 (x value=1.327), Index values of pot = 1202:1247 \n",
      "step 747\n",
      "Print kernel at center - 3.039 (x value=3.036), Index values of pot = 2910:2955 \n",
      "step 748\n",
      "Print kernel at center - 2.005 (x value=2.003), Index values of pot = 1877:1922 \n",
      "step 749\n",
      "Print kernel at center - 2.623 (x value=2.621), Index values of pot = 2495:2540 \n",
      "step 750\n",
      "Print kernel at center - 1.562 (x value=1.561), Index values of pot = 1436:1481 \n",
      "step 751\n",
      "Print kernel at center - 0.662 (x value=0.662), Index values of pot = 537:582 \n",
      "step 752\n",
      "Print kernel at center - 3.219 (x value=3.216), Index values of pot = 3090:3135 \n",
      "step 753\n",
      "Print kernel at center - 0.915 (x value=0.915), Index values of pot = 790:835 \n",
      "step 754\n",
      "Print kernel at center - 1.171 (x value=1.170), Index values of pot = 1045:1090 \n",
      "step 755\n",
      "Print kernel at center - 0.313 (x value=0.313), Index values of pot = 188:233 \n",
      "step 756\n",
      "Print kernel at center - 1.204 (x value=1.203), Index values of pot = 1078:1123 \n",
      "step 757\n",
      "Print kernel at center - 2.003 (x value=2.001), Index values of pot = 1875:1920 \n",
      "step 758\n",
      "Print kernel at center - 1.776 (x value=1.775), Index values of pot = 1650:1695 \n",
      "step 759\n",
      "Print kernel at center - 3.300 (x value=3.297), Index values of pot = 3171:3216 \n",
      "step 760\n",
      "Print kernel at center - 1.025 (x value=1.024), Index values of pot = 899:944 \n",
      "step 761\n",
      "Print kernel at center - 1.561 (x value=1.560), Index values of pot = 1435:1480 \n",
      "step 762\n",
      "Print kernel at center - 1.711 (x value=1.710), Index values of pot = 1585:1630 \n",
      "step 763\n",
      "Print kernel at center - 2.639 (x value=2.637), Index values of pot = 2511:2556 \n",
      "step 764\n",
      "Print kernel at center - 1.918 (x value=1.917), Index values of pot = 1791:1836 \n",
      "step 765\n",
      "Print kernel at center - 1.383 (x value=1.382), Index values of pot = 1257:1302 \n",
      "step 766\n",
      "Print kernel at center - 1.467 (x value=1.466), Index values of pot = 1341:1386 \n",
      "step 767\n",
      "Print kernel at center - 0.488 (x value=0.488), Index values of pot = 363:408 \n",
      "step 768\n",
      "Print kernel at center - 0.232 (x value=0.232), Index values of pot = 107:152 \n",
      "step 769\n",
      "Print kernel at center - 2.810 (x value=2.808), Index values of pot = 2682:2727 \n",
      "step 770\n",
      "Print kernel at center - 0.751 (x value=0.751), Index values of pot = 626:671 \n",
      "step 771\n",
      "Print kernel at center - 0.988 (x value=0.988), Index values of pot = 863:908 \n",
      "step 772\n",
      "Print kernel at center - 1.218 (x value=1.217), Index values of pot = 1092:1137 \n",
      "step 773\n",
      "Print kernel at center - 2.194 (x value=2.192), Index values of pot = 2066:2111 \n",
      "step 774\n",
      "Print kernel at center - 1.005 (x value=1.004), Index values of pot = 879:924 \n",
      "step 775\n",
      "Print kernel at center - 3.178 (x value=3.175), Index values of pot = 3049:3094 \n",
      "step 776\n",
      "Print kernel at center - 3.287 (x value=3.284), Index values of pot = 3158:3203 \n",
      "step 777\n",
      "Print kernel at center - 1.392 (x value=1.391), Index values of pot = 1266:1311 \n",
      "step 778\n",
      "Print kernel at center - 0.826 (x value=0.826), Index values of pot = 701:746 \n",
      "step 779\n",
      "Print kernel at center - 2.286 (x value=2.284), Index values of pot = 2158:2203 \n",
      "step 780\n",
      "Print kernel at center - 1.534 (x value=1.533), Index values of pot = 1408:1453 \n",
      "step 781\n",
      "Print kernel at center - 1.711 (x value=1.710), Index values of pot = 1585:1630 \n",
      "step 782\n",
      "Print kernel at center - 1.568 (x value=1.567), Index values of pot = 1442:1487 \n",
      "step 783\n",
      "Print kernel at center - 2.569 (x value=2.567), Index values of pot = 2441:2486 \n",
      "step 784\n",
      "Print kernel at center - 0.618 (x value=0.618), Index values of pot = 493:538 \n",
      "step 785\n",
      "Print kernel at center - 2.337 (x value=2.335), Index values of pot = 2209:2254 \n",
      "step 786\n",
      "Print kernel at center - 0.273 (x value=0.273), Index values of pot = 148:193 \n",
      "step 787\n",
      "Print kernel at center - 1.108 (x value=1.107), Index values of pot = 982:1027 \n",
      "step 788\n",
      "Print kernel at center - 1.622 (x value=1.621), Index values of pot = 1496:1541 \n",
      "step 789\n",
      "Print kernel at center - 1.153 (x value=1.152), Index values of pot = 1027:1072 \n",
      "step 790\n",
      "Print kernel at center - 1.204 (x value=1.203), Index values of pot = 1078:1123 \n",
      "step 791\n",
      "Print kernel at center - 2.100 (x value=2.098), Index values of pot = 1972:2017 \n",
      "step 792\n",
      "Print kernel at center - 2.443 (x value=2.441), Index values of pot = 2315:2360 \n",
      "step 793\n",
      "Print kernel at center - 1.601 (x value=1.600), Index values of pot = 1475:1520 \n",
      "step 794\n",
      "Print kernel at center - 2.321 (x value=2.319), Index values of pot = 2193:2238 \n",
      "step 795\n",
      "Print kernel at center - 1.998 (x value=1.997), Index values of pot = 1871:1916 \n",
      "step 796\n",
      "Print kernel at center - 2.673 (x value=2.671), Index values of pot = 2545:2590 \n",
      "step 797\n",
      "Print kernel at center - 1.253 (x value=1.252), Index values of pot = 1127:1172 \n",
      "step 798\n",
      "Print kernel at center - 1.078 (x value=1.077), Index values of pot = 952:997 \n",
      "step 799\n",
      "Print kernel at center - 1.801 (x value=1.800), Index values of pot = 1675:1720 \n",
      "step 800\n",
      "Print kernel at center - 2.900 (x value=2.898), Index values of pot = 2772:2817 \n",
      "step 801\n",
      "Print kernel at center - 0.494 (x value=0.494), Index values of pot = 369:414 \n",
      "step 802\n",
      "Print kernel at center - 0.608 (x value=0.608), Index values of pot = 483:528 \n",
      "step 803\n",
      "Print kernel at center - 1.358 (x value=1.357), Index values of pot = 1232:1277 \n",
      "step 804\n",
      "Print kernel at center - 2.308 (x value=2.306), Index values of pot = 2180:2225 \n",
      "step 805\n",
      "Print kernel at center - 2.916 (x value=2.914), Index values of pot = 2788:2833 \n",
      "step 806\n",
      "Print kernel at center - 2.200 (x value=2.198), Index values of pot = 2072:2117 \n",
      "step 807\n",
      "Print kernel at center - 0.425 (x value=0.425), Index values of pot = 300:345 \n",
      "step 808\n",
      "Print kernel at center - 0.708 (x value=0.708), Index values of pot = 583:628 \n",
      "step 809\n",
      "Print kernel at center - 0.731 (x value=0.731), Index values of pot = 606:651 \n",
      "step 810\n",
      "Print kernel at center - 2.706 (x value=2.704), Index values of pot = 2578:2623 \n",
      "step 811\n",
      "Print kernel at center - 1.272 (x value=1.271), Index values of pot = 1146:1191 \n",
      "step 812\n",
      "Print kernel at center - 0.977 (x value=0.977), Index values of pot = 852:897 \n",
      "step 813\n",
      "Print kernel at center - 1.384 (x value=1.383), Index values of pot = 1258:1303 \n",
      "step 814\n",
      "Print kernel at center - 2.334 (x value=2.332), Index values of pot = 2206:2251 \n",
      "step 815\n",
      "Print kernel at center - 0.846 (x value=0.846), Index values of pot = 721:766 \n",
      "step 816\n",
      "Print kernel at center - 1.256 (x value=1.255), Index values of pot = 1130:1175 \n",
      "step 817\n",
      "Print kernel at center - 1.646 (x value=1.645), Index values of pot = 1520:1565 \n",
      "step 818\n",
      "Print kernel at center - 3.194 (x value=3.191), Index values of pot = 3065:3110 \n",
      "step 819\n",
      "Print kernel at center - 2.797 (x value=2.795), Index values of pot = 2669:2714 \n",
      "step 820\n",
      "Print kernel at center - 1.088 (x value=1.087), Index values of pot = 962:1007 \n",
      "step 821\n",
      "Print kernel at center - 0.987 (x value=0.987), Index values of pot = 862:907 \n",
      "step 822\n",
      "Print kernel at center - 0.893 (x value=0.893), Index values of pot = 768:813 \n",
      "step 823\n",
      "Print kernel at center - 1.957 (x value=1.956), Index values of pot = 1830:1875 \n",
      "step 824\n",
      "Print kernel at center - 0.420 (x value=0.420), Index values of pot = 295:340 \n",
      "step 825\n",
      "Print kernel at center - 0.210 (x value=0.210), Index values of pot = 85:130 \n",
      "step 826\n",
      "Print kernel at center - 0.571 (x value=0.571), Index values of pot = 446:491 \n",
      "step 827\n",
      "Print kernel at center - 1.743 (x value=1.742), Index values of pot = 1617:1662 \n",
      "step 828\n",
      "Print kernel at center - 1.077 (x value=1.076), Index values of pot = 951:996 \n",
      "step 829\n",
      "Print kernel at center - 0.229 (x value=0.229), Index values of pot = 104:149 \n",
      "step 830\n",
      "Print kernel at center - 2.721 (x value=2.719), Index values of pot = 2593:2638 \n",
      "step 831\n",
      "Print kernel at center - 1.947 (x value=1.946), Index values of pot = 1820:1865 \n",
      "step 832\n",
      "Print kernel at center - 2.318 (x value=2.316), Index values of pot = 2190:2235 \n",
      "step 833\n",
      "Print kernel at center - 2.175 (x value=2.173), Index values of pot = 2047:2092 \n",
      "step 834\n",
      "Print kernel at center - 3.144 (x value=3.141), Index values of pot = 3015:3060 \n",
      "step 835\n",
      "Print kernel at center - 1.099 (x value=1.098), Index values of pot = 973:1018 \n",
      "step 836\n",
      "Print kernel at center - 1.193 (x value=1.192), Index values of pot = 1067:1112 \n",
      "step 837\n",
      "Print kernel at center - 2.613 (x value=2.611), Index values of pot = 2485:2530 \n",
      "step 838\n",
      "Print kernel at center - 1.623 (x value=1.622), Index values of pot = 1497:1542 \n",
      "step 839\n",
      "Print kernel at center - 2.023 (x value=2.021), Index values of pot = 1895:1940 \n",
      "step 840\n",
      "Print kernel at center - 1.230 (x value=1.229), Index values of pot = 1104:1149 \n",
      "step 841\n",
      "Print kernel at center - 3.001 (x value=2.998), Index values of pot = 2872:2917 \n",
      "step 842\n",
      "Print kernel at center - 2.557 (x value=2.555), Index values of pot = 2429:2474 \n",
      "step 843\n",
      "Print kernel at center - 0.921 (x value=0.921), Index values of pot = 796:841 \n",
      "step 844\n",
      "Print kernel at center - 2.809 (x value=2.807), Index values of pot = 2681:2726 \n",
      "step 845\n",
      "Print kernel at center - 3.227 (x value=3.224), Index values of pot = 3098:3143 \n",
      "step 846\n",
      "Print kernel at center - 0.441 (x value=0.441), Index values of pot = 316:361 \n",
      "step 847\n",
      "Print kernel at center - 0.879 (x value=0.879), Index values of pot = 754:799 \n",
      "step 848\n",
      "Print kernel at center - 1.324 (x value=1.323), Index values of pot = 1198:1243 \n",
      "step 849\n",
      "Print kernel at center - 2.750 (x value=2.748), Index values of pot = 2622:2667 \n",
      "step 850\n",
      "Print kernel at center - 0.772 (x value=0.772), Index values of pot = 647:692 \n",
      "step 851\n",
      "Print kernel at center - 1.670 (x value=1.669), Index values of pot = 1544:1589 \n",
      "step 852\n",
      "Print kernel at center - 0.239 (x value=0.239), Index values of pot = 114:159 \n",
      "step 853\n",
      "Print kernel at center - 1.267 (x value=1.266), Index values of pot = 1141:1186 \n",
      "step 854\n",
      "Print kernel at center - 1.739 (x value=1.738), Index values of pot = 1613:1658 \n",
      "step 855\n",
      "Print kernel at center - 0.634 (x value=0.634), Index values of pot = 509:554 \n",
      "step 856\n",
      "Print kernel at center - 0.309 (x value=0.309), Index values of pot = 184:229 \n",
      "step 857\n",
      "Print kernel at center - 1.719 (x value=1.718), Index values of pot = 1593:1638 \n",
      "step 858\n",
      "Print kernel at center - 2.997 (x value=2.995), Index values of pot = 2869:2914 \n",
      "step 859\n",
      "Print kernel at center - 2.614 (x value=2.612), Index values of pot = 2486:2531 \n",
      "step 860\n",
      "Print kernel at center - 2.402 (x value=2.400), Index values of pot = 2274:2319 \n",
      "step 861\n",
      "Print kernel at center - 2.154 (x value=2.152), Index values of pot = 2026:2071 \n",
      "step 862\n",
      "Print kernel at center - 2.506 (x value=2.504), Index values of pot = 2378:2423 \n",
      "step 863\n",
      "Print kernel at center - 2.199 (x value=2.197), Index values of pot = 2071:2116 \n",
      "step 864\n",
      "Print kernel at center - 3.164 (x value=3.161), Index values of pot = 3035:3080 \n",
      "step 865\n",
      "Print kernel at center - 1.366 (x value=1.365), Index values of pot = 1240:1285 \n",
      "step 866\n",
      "Print kernel at center - 2.074 (x value=2.072), Index values of pot = 1946:1991 \n",
      "step 867\n",
      "Print kernel at center - 0.447 (x value=0.447), Index values of pot = 322:367 \n",
      "step 868\n",
      "Print kernel at center - 1.917 (x value=1.916), Index values of pot = 1790:1835 \n",
      "step 869\n",
      "Print kernel at center - 0.429 (x value=0.429), Index values of pot = 304:349 \n",
      "step 870\n",
      "Print kernel at center - 3.097 (x value=3.094), Index values of pot = 2968:3013 \n",
      "step 871\n",
      "Print kernel at center - 0.832 (x value=0.832), Index values of pot = 707:752 \n",
      "step 872\n",
      "Print kernel at center - 2.257 (x value=2.255), Index values of pot = 2129:2174 \n",
      "step 873\n",
      "Print kernel at center - 2.011 (x value=2.009), Index values of pot = 1883:1928 \n",
      "step 874\n",
      "Print kernel at center - 2.227 (x value=2.225), Index values of pot = 2099:2144 \n",
      "step 875\n",
      "Print kernel at center - 2.432 (x value=2.430), Index values of pot = 2304:2349 \n",
      "step 876\n",
      "Print kernel at center - 1.911 (x value=1.910), Index values of pot = 1784:1829 \n",
      "step 877\n",
      "Print kernel at center - 0.233 (x value=0.233), Index values of pot = 108:153 \n",
      "step 878\n",
      "Print kernel at center - 1.185 (x value=1.184), Index values of pot = 1059:1104 \n",
      "step 879\n",
      "Print kernel at center - 0.653 (x value=0.653), Index values of pot = 528:573 \n",
      "step 880\n",
      "Print kernel at center - 0.491 (x value=0.491), Index values of pot = 366:411 \n",
      "step 881\n",
      "Print kernel at center - 0.210 (x value=0.210), Index values of pot = 85:130 \n",
      "step 882\n",
      "Print kernel at center - 1.404 (x value=1.403), Index values of pot = 1278:1323 \n",
      "step 883\n",
      "Print kernel at center - 0.389 (x value=0.389), Index values of pot = 264:309 \n",
      "step 884\n",
      "Print kernel at center - 0.535 (x value=0.535), Index values of pot = 410:455 \n",
      "step 885\n",
      "Print kernel at center - 1.014 (x value=1.013), Index values of pot = 888:933 \n",
      "step 886\n",
      "Print kernel at center - 2.762 (x value=2.760), Index values of pot = 2634:2679 \n",
      "step 887\n",
      "Print kernel at center - 2.029 (x value=2.027), Index values of pot = 1901:1946 \n",
      "step 888\n",
      "Print kernel at center - 2.788 (x value=2.786), Index values of pot = 2660:2705 \n",
      "step 889\n",
      "Print kernel at center - 0.843 (x value=0.843), Index values of pot = 718:763 \n",
      "step 890\n",
      "Print kernel at center - 1.577 (x value=1.576), Index values of pot = 1451:1496 \n",
      "step 891\n",
      "Print kernel at center - 0.302 (x value=0.302), Index values of pot = 177:222 \n",
      "step 892\n",
      "Print kernel at center - 1.782 (x value=1.781), Index values of pot = 1656:1701 \n",
      "step 893\n",
      "Print kernel at center - 2.424 (x value=2.422), Index values of pot = 2296:2341 \n",
      "step 894\n",
      "Print kernel at center - 0.476 (x value=0.476), Index values of pot = 351:396 \n",
      "step 895\n",
      "Print kernel at center - 0.879 (x value=0.879), Index values of pot = 754:799 \n",
      "step 896\n",
      "Print kernel at center - 0.458 (x value=0.458), Index values of pot = 333:378 \n",
      "step 897\n",
      "Print kernel at center - 0.979 (x value=0.979), Index values of pot = 854:899 \n",
      "step 898\n",
      "Print kernel at center - 1.872 (x value=1.871), Index values of pot = 1745:1790 \n",
      "step 899\n",
      "Print kernel at center - 2.315 (x value=2.313), Index values of pot = 2187:2232 \n",
      "step 900\n",
      "Print kernel at center - 3.177 (x value=3.174), Index values of pot = 3048:3093 \n",
      "step 901\n",
      "Print kernel at center - 1.564 (x value=1.563), Index values of pot = 1438:1483 \n",
      "step 902\n",
      "Print kernel at center - 1.933 (x value=1.932), Index values of pot = 1806:1851 \n",
      "step 903\n",
      "Print kernel at center - 0.211 (x value=0.211), Index values of pot = 86:131 \n",
      "step 904\n",
      "Print kernel at center - 2.146 (x value=2.144), Index values of pot = 2018:2063 \n",
      "step 905\n",
      "Print kernel at center - 3.053 (x value=3.050), Index values of pot = 2924:2969 \n",
      "step 906\n",
      "Print kernel at center - 1.374 (x value=1.373), Index values of pot = 1248:1293 \n",
      "step 907\n",
      "Print kernel at center - 3.232 (x value=3.229), Index values of pot = 3103:3148 \n",
      "step 908\n",
      "Print kernel at center - 0.689 (x value=0.689), Index values of pot = 564:609 \n",
      "step 909\n",
      "Print kernel at center - 2.926 (x value=2.924), Index values of pot = 2798:2843 \n",
      "step 910\n",
      "Print kernel at center - 2.839 (x value=2.837), Index values of pot = 2711:2756 \n",
      "step 911\n",
      "Print kernel at center - 0.640 (x value=0.640), Index values of pot = 515:560 \n",
      "step 912\n",
      "Print kernel at center - 2.789 (x value=2.787), Index values of pot = 2661:2706 \n",
      "step 913\n",
      "Print kernel at center - 2.380 (x value=2.378), Index values of pot = 2252:2297 \n",
      "step 914\n",
      "Print kernel at center - 2.513 (x value=2.511), Index values of pot = 2385:2430 \n",
      "step 915\n",
      "Print kernel at center - 2.182 (x value=2.180), Index values of pot = 2054:2099 \n",
      "step 916\n",
      "Print kernel at center - 0.646 (x value=0.646), Index values of pot = 521:566 \n",
      "step 917\n",
      "Print kernel at center - 0.505 (x value=0.505), Index values of pot = 380:425 \n",
      "step 918\n",
      "Print kernel at center - 1.665 (x value=1.664), Index values of pot = 1539:1584 \n",
      "step 919\n",
      "Print kernel at center - 2.618 (x value=2.616), Index values of pot = 2490:2535 \n",
      "step 920\n",
      "Print kernel at center - 0.632 (x value=0.632), Index values of pot = 507:552 \n",
      "step 921\n",
      "Print kernel at center - 1.897 (x value=1.896), Index values of pot = 1770:1815 \n",
      "step 922\n",
      "Print kernel at center - 3.248 (x value=3.245), Index values of pot = 3119:3164 \n",
      "step 923\n",
      "Print kernel at center - 1.718 (x value=1.717), Index values of pot = 1592:1637 \n",
      "step 924\n",
      "Print kernel at center - 1.866 (x value=1.865), Index values of pot = 1739:1784 \n",
      "step 925\n",
      "Print kernel at center - 2.138 (x value=2.136), Index values of pot = 2010:2055 \n",
      "step 926\n",
      "Print kernel at center - 1.655 (x value=1.654), Index values of pot = 1529:1574 \n",
      "step 927\n",
      "Print kernel at center - 2.021 (x value=2.019), Index values of pot = 1893:1938 \n",
      "step 928\n",
      "Print kernel at center - 0.367 (x value=0.367), Index values of pot = 242:287 \n",
      "step 929\n",
      "Print kernel at center - 0.255 (x value=0.255), Index values of pot = 130:175 \n",
      "step 930\n",
      "Print kernel at center - 3.035 (x value=3.032), Index values of pot = 2906:2951 \n",
      "step 931\n",
      "Print kernel at center - 1.456 (x value=1.455), Index values of pot = 1330:1375 \n",
      "step 932\n",
      "Print kernel at center - 3.068 (x value=3.065), Index values of pot = 2939:2984 \n",
      "step 933\n",
      "Print kernel at center - 1.465 (x value=1.464), Index values of pot = 1339:1384 \n",
      "step 934\n",
      "Print kernel at center - 1.657 (x value=1.656), Index values of pot = 1531:1576 \n",
      "step 935\n",
      "Print kernel at center - 2.562 (x value=2.560), Index values of pot = 2434:2479 \n",
      "step 936\n",
      "Print kernel at center - 1.019 (x value=1.018), Index values of pot = 893:938 \n",
      "step 937\n",
      "Print kernel at center - 2.942 (x value=2.940), Index values of pot = 2814:2859 \n",
      "step 938\n",
      "Print kernel at center - 2.002 (x value=2.000), Index values of pot = 1874:1919 \n",
      "step 939\n",
      "Print kernel at center - 1.310 (x value=1.309), Index values of pot = 1184:1229 \n",
      "step 940\n",
      "Print kernel at center - 1.039 (x value=1.038), Index values of pot = 913:958 \n",
      "step 941\n",
      "Print kernel at center - 3.028 (x value=3.025), Index values of pot = 2899:2944 \n",
      "step 942\n",
      "Print kernel at center - 1.191 (x value=1.190), Index values of pot = 1065:1110 \n",
      "step 943\n",
      "Print kernel at center - 1.683 (x value=1.682), Index values of pot = 1557:1602 \n",
      "step 944\n",
      "Print kernel at center - 1.601 (x value=1.600), Index values of pot = 1475:1520 \n",
      "step 945\n",
      "Print kernel at center - 2.514 (x value=2.512), Index values of pot = 2386:2431 \n",
      "step 946\n",
      "Print kernel at center - 0.642 (x value=0.642), Index values of pot = 517:562 \n",
      "step 947\n",
      "Print kernel at center - 2.625 (x value=2.623), Index values of pot = 2497:2542 \n",
      "step 948\n",
      "Print kernel at center - 1.513 (x value=1.512), Index values of pot = 1387:1432 \n",
      "step 949\n",
      "Print kernel at center - 3.264 (x value=3.261), Index values of pot = 3135:3180 \n",
      "step 950\n",
      "Print kernel at center - 2.233 (x value=2.231), Index values of pot = 2105:2150 \n",
      "step 951\n",
      "Print kernel at center - 1.020 (x value=1.019), Index values of pot = 894:939 \n",
      "step 952\n",
      "Print kernel at center - 1.918 (x value=1.917), Index values of pot = 1791:1836 \n",
      "step 953\n",
      "Print kernel at center - 1.065 (x value=1.064), Index values of pot = 939:984 \n",
      "step 954\n",
      "Print kernel at center - 2.482 (x value=2.480), Index values of pot = 2354:2399 \n",
      "step 955\n",
      "Print kernel at center - 3.282 (x value=3.279), Index values of pot = 3153:3198 \n",
      "step 956\n",
      "Print kernel at center - 1.875 (x value=1.874), Index values of pot = 1748:1793 \n",
      "step 957\n",
      "Print kernel at center - 2.866 (x value=2.864), Index values of pot = 2738:2783 \n",
      "step 958\n",
      "Print kernel at center - 1.378 (x value=1.377), Index values of pot = 1252:1297 \n",
      "step 959\n",
      "Print kernel at center - 2.093 (x value=2.091), Index values of pot = 1965:2010 \n",
      "step 960\n",
      "Print kernel at center - 1.439 (x value=1.438), Index values of pot = 1313:1358 \n",
      "step 961\n",
      "Print kernel at center - 1.760 (x value=1.759), Index values of pot = 1634:1679 \n",
      "step 962\n",
      "Print kernel at center - 0.890 (x value=0.890), Index values of pot = 765:810 \n",
      "step 963\n",
      "Print kernel at center - 2.908 (x value=2.906), Index values of pot = 2780:2825 \n",
      "step 964\n",
      "Print kernel at center - 1.480 (x value=1.479), Index values of pot = 1354:1399 \n",
      "step 965\n",
      "Print kernel at center - 1.799 (x value=1.798), Index values of pot = 1673:1718 \n",
      "step 966\n",
      "Print kernel at center - 1.643 (x value=1.642), Index values of pot = 1517:1562 \n",
      "step 967\n",
      "Print kernel at center - 2.365 (x value=2.363), Index values of pot = 2237:2282 \n",
      "step 968\n",
      "Print kernel at center - 2.347 (x value=2.345), Index values of pot = 2219:2264 \n",
      "step 969\n",
      "Print kernel at center - 1.892 (x value=1.891), Index values of pot = 1765:1810 \n",
      "step 970\n",
      "Print kernel at center - 1.016 (x value=1.015), Index values of pot = 890:935 \n",
      "step 971\n",
      "Print kernel at center - 1.149 (x value=1.148), Index values of pot = 1023:1068 \n",
      "step 972\n",
      "Print kernel at center - 1.672 (x value=1.671), Index values of pot = 1546:1591 \n",
      "step 973\n",
      "Print kernel at center - 2.715 (x value=2.713), Index values of pot = 2587:2632 \n",
      "step 974\n",
      "Print kernel at center - 2.623 (x value=2.621), Index values of pot = 2495:2540 \n",
      "step 975\n",
      "Print kernel at center - 1.289 (x value=1.288), Index values of pot = 1163:1208 \n",
      "step 976\n",
      "Print kernel at center - 2.510 (x value=2.508), Index values of pot = 2382:2427 \n",
      "step 977\n",
      "Print kernel at center - 1.404 (x value=1.403), Index values of pot = 1278:1323 \n",
      "step 978\n",
      "Print kernel at center - 0.229 (x value=0.229), Index values of pot = 104:149 \n",
      "step 979\n",
      "Print kernel at center - 1.301 (x value=1.300), Index values of pot = 1175:1220 \n",
      "step 980\n",
      "Print kernel at center - 2.502 (x value=2.500), Index values of pot = 2374:2419 \n",
      "step 981\n",
      "Print kernel at center - 0.410 (x value=0.410), Index values of pot = 285:330 \n",
      "step 982\n",
      "Print kernel at center - 0.766 (x value=0.766), Index values of pot = 641:686 \n",
      "step 983\n",
      "Print kernel at center - 1.147 (x value=1.146), Index values of pot = 1021:1066 \n",
      "step 984\n",
      "Print kernel at center - 0.383 (x value=0.383), Index values of pot = 258:303 \n",
      "step 985\n",
      "Print kernel at center - 0.914 (x value=0.914), Index values of pot = 789:834 \n",
      "step 986\n",
      "Print kernel at center - 0.569 (x value=0.569), Index values of pot = 444:489 \n",
      "step 987\n",
      "Print kernel at center - 2.001 (x value=1.999), Index values of pot = 1873:1918 \n",
      "step 988\n",
      "Print kernel at center - 2.697 (x value=2.695), Index values of pot = 2569:2614 \n",
      "step 989\n",
      "Print kernel at center - 2.933 (x value=2.931), Index values of pot = 2805:2850 \n",
      "step 990\n",
      "Print kernel at center - 3.161 (x value=3.158), Index values of pot = 3032:3077 \n",
      "step 991\n",
      "Print kernel at center - 3.070 (x value=3.067), Index values of pot = 2941:2986 \n",
      "step 992\n",
      "Print kernel at center - 3.242 (x value=3.239), Index values of pot = 3113:3158 \n",
      "step 993\n",
      "Print kernel at center - 2.144 (x value=2.142), Index values of pot = 2016:2061 \n",
      "step 994\n",
      "Print kernel at center - 0.578 (x value=0.578), Index values of pot = 453:498 \n",
      "step 995\n",
      "Print kernel at center - 3.176 (x value=3.173), Index values of pot = 3047:3092 \n",
      "step 996\n",
      "Print kernel at center - 2.648 (x value=2.646), Index values of pot = 2520:2565 \n",
      "step 997\n",
      "Print kernel at center - 1.210 (x value=1.209), Index values of pot = 1084:1129 \n",
      "step 998\n",
      "Print kernel at center - 0.322 (x value=0.322), Index values of pot = 197:242 \n",
      "step 999\n",
      "Print kernel at center - 1.903 (x value=1.902), Index values of pot = 1776:1821 \n",
      "step 1000\n",
      "Print kernel at center - 2.243 (x value=2.241), Index values of pot = 2115:2160 \n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Stress Test for bias deposition - continous kernel generation and bias deposition\n",
    "np.set_printoptions(precision=4)\n",
    "\n",
    "#Setting up grid of X values\n",
    "min_val = 0.125\n",
    "max_val = 3.5\n",
    "valrange = max_val - min_val\n",
    "increment = 0.001\n",
    "npoints = int(valrange/increment)\n",
    "\n",
    "x = np.linspace(min_val, max_val, npoints)\n",
    "x = np.around(x, decimals=3)\n",
    "\n",
    "#Build the triple well potential\n",
    "A = [1.5, 1.8, 2]\n",
    "a = 1.7\n",
    "q = (2*math.pi)/a\n",
    "potential = np.array([(A[0]*math.cos(q*x[i]) + A[1]*math.cos(1.5*q*x[i]) + A[2]*math.sin(1.5*q*x[i]) + 4) \n",
    "      for i in np.arange(0, len(x))])\n",
    "\n",
    "delta_potential = [(-6*math.pi*(5*math.sin(q*x[i]) + 9*math.sin(1.5*q*x[i]) - 10*math.cos(1.5*q*x[i])))\n",
    "             for i in np.arange(0, len(x))]\n",
    "\n",
    "#Gaussian Kernel parameters\n",
    "g_height, g_width = 0.01, 0.01\n",
    "\n",
    "unbiased_pot = [(A[0]*math.cos(q*x[i]) + A[1]*math.cos(1.5*q*x[i]) + A[2]*math.sin(1.5*q*x[i]) + 4) \n",
    "      for i in np.arange(0, len(x))]\n",
    "\n",
    "minval = [-0.2 for i in np.arange(0, len(x))]\n",
    "\n",
    "#Simulated code snippet for gaussian kernel deposition in MetaD\n",
    "for i in range(0, 1000):\n",
    "    \n",
    "    starting = round(random.uniform(0.2, 3.3), 3)\n",
    "    print(\"step %d\" % int(i+1))\n",
    "\n",
    "    G_arr, g_length = gen_Gauss_Kernel(starting, g_height, g_width, increment)\n",
    "    potential = deposit_Gauss_kernel(x, potential, G_arr, g_length)\n",
    "    delta_pot = np.gradient(potential, 0.06*increment)\n",
    "    \n",
    "    delta_unbiased = np.gradient(unbiased_pot, 0.06*increment)\n",
    "    \n",
    "#Plotting the potential and the fixed starting point for the 1D MetaD simulation\n",
    "fig = plt.figure(figsize=(12,6))\n",
    "\n",
    "ax = fig.add_subplot(121)\n",
    "\n",
    "ax.set_title(r'Test MetaD - Height=' + str(g_height) + r', Width=' + str(g_width), fontsize=16)\n",
    "ax.plot(x, potential, linestyle=\"-\", color=\"purple\")\n",
    "ax.fill_between(x, unbiased_pot, potential, fc=\"purple\", alpha=0.5)\n",
    "ax.plot(x, unbiased_pot, linestyle=\"-\", color=\"purple\")\n",
    "ax.plot(x, minval, \"-\", color=\"black\")\n",
    "ax.fill_between(x, minval, unbiased_pot, fc=\"black\")\n",
    "ax.set_xlabel(r'\\textbf{CV Value}')\n",
    "ax.set_ylabel(r'\\textbf{Free Energy (kJ/mol)}')\n",
    "ax.set_xlim(0.125, 3.5)\n",
    "ax.set_ylim(-0.2, max(potential)+1)\n",
    "\n",
    "ax_der = fig.add_subplot(122)\n",
    "\n",
    "ax_der.plot(x, delta_pot, linestyle=\"-\", color=\"purple\")\n",
    "ax_der.plot(x, delta_unbiased, linestyle=\"-\", color=\"red\")\n",
    "ax_der.plot(x, delta_potential, linestyle=\"--\" ,color=\"black\")\n",
    "\n",
    "fig.tight_layout()\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.2, 8.945734055261967)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plotting the potential and the fixed starting point for the 1D MetaD simulation\n",
    "sns.set_style(\"dark\")\n",
    "\n",
    "neg_unbiased_pot = [-1*(A[0]*math.cos(q*x[i]) + A[1]*math.cos(1.5*q*x[i]) + A[2]*math.sin(1.5*q*x[i]) + 4) \n",
    "      for i in np.arange(0, len(x))]\n",
    "\n",
    "unbiased_pot = [(A[0]*math.cos(q*x[i]) + A[1]*math.cos(1.5*q*x[i]) + A[2]*math.sin(1.5*q*x[i]) + 4) \n",
    "      for i in np.arange(0, len(x))]\n",
    "\n",
    "maxval = [max(potential)-1 for i in np.arange(0, len(x))]\n",
    "\n",
    "fig = plt.figure(figsize=(12,6))\n",
    "\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "#ax.set_title(r'Test MetaD - Height=' + str(g_height) + r', Width=' + str(g_width), fontsize=16)\n",
    "#ax.plot(x, potential, linestyle=\"-\", color=\"purple\")\n",
    "#ax.fill_between(x, unbiased_pot, potential, fc=\"purple\", alpha=0.5)\n",
    "ax.plot(x, unbiased_pot, linestyle=\"-\", color=\"purple\")\n",
    "#ax.plot(x, minval, \"-\", color=\"black\")\n",
    "ax.fill_between(x, unbiased_pot, maxval, fc=\"blue\")\n",
    "ax.fill_between(x, minval, unbiased_pot, fc=\"black\")\n",
    "ax.set_xlabel(r'\\textbf{CV Value}')\n",
    "ax.set_ylabel(r'\\textbf{Free Energy (kJ/mol)}')\n",
    "ax.set_xlim(0.125, 3.5)\n",
    "ax.set_ylim(-0.2, max(potential)+0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "metadata": {},
   "outputs": [],
   "source": [
    " #if np.allclose(G_arr[:,0], x[i:i+gauss_length], rtol=0.001, atol=0) == True:\n",
    "        #print(\"Print at center - %0.3f, Index values of pot = %d:%d \" % \n",
    "    #          (x[i+center_idx], i, i+gauss_length) )\n",
    "        \n",
    "    #    for idx, potval in enumerate(potential[i:i+gauss_length]):\n",
    "    #        j = i+idx\n",
    "            \n",
    "    #        potential[j] = potval + G_arr[idx,1]\n",
    "    #        print(G_arr[idx, 0], x[j])\n",
    "            \n",
    "    #    break   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Test - search and add gaussian to potential automatically \n",
    "#- To be tuned to have equal increments then implemented into AniMetaD\n",
    "\n",
    "for i in range(0, len(x), gauss_length):\n",
    "    center_idx = int(0.5*gauss_length)\n",
    "    #if G_arr[center_idx,0] == x[i]:\n",
    "    \n",
    "    print(i, i+gauss_length, G_arr[:,0].shape, np.array(x[i:i+gauss_length]).shape)\n",
    "    \n",
    "    if np.allclose(G_arr[:,0], x[i:i+gauss_length], rtol=0.001, atol=0) == True:\n",
    "        print(\"Print at center - %0.3f, Index values of pot = %d:%d \" % \n",
    "              (x[i+center_idx], i, i+gauss_length) )\n",
    "        \n",
    "        for idx, potval in enumerate(potential[i:i+gauss_length]):\n",
    "            j = i+idx\n",
    "            \n",
    "            potential[j] = potval + G_arr[idx,1]\n",
    "            print(G_arr[idx, 0], x[j])\n",
    "            \n",
    "        break   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "Velocity Verlet NVE MD Integrator for 1D simple harmonic well potential\n",
    "\n",
    "V(x) = 0.5kx^2\n",
    "F = -dV(x)/dx = -kx\n",
    "\n",
    "\"\"\"\n",
    "\n",
    "#Setting functions for calculation of forces, potential energy,\n",
    "\n",
    "def calculate_force(x, k):\n",
    "    return -k*x\n",
    "\n",
    "def calc_potential(x, k):\n",
    "    return 0.5*k*x**2\n",
    "\n",
    "def calc_kinetic(v, mass):\n",
    "    return 0.5*mass*v**2\n",
    "\n",
    "def vupdate_positions(x, v, dt, stepf=1.0):\n",
    "    return x + v*dt*stepf\n",
    "\n",
    "def vupdate_velocities(v, F, mass, dt, stepfraction=1.0):\n",
    "    # type: (object, object, object, object, object) -> object\n",
    "    return v + (0.5*dt*stepfraction)*F\n",
    "\n",
    "#Function for Velocity Verlet MD\n",
    "\n",
    "def VelocityVerletIntegrator(x, v, MDSteps=1000, dt=0.1, mass=1.0, k=10):\n",
    "\n",
    "    x_trj = np.zeros(MDSteps, dtype=np.float64)\n",
    "    v_trj = np.zeros(MDSteps, dtype=np.float64)\n",
    "\n",
    "    x_trj[0] = x\n",
    "    v_trj[0] = v\n",
    "\n",
    "    for step in range(1, MDSteps):\n",
    "\n",
    "        f = calculate_force(x, k)\n",
    "        v = vupdate_velocities(v, f, mass, dt, stepfraction=0.5)\n",
    "        x = vupdate_positions(x, v, dt, stepf=1.0)\n",
    "        f = calculate_force(x, k)\n",
    "        v = vupdate_velocities(v, f, mass, dt, stepfraction=0.5)\n",
    "        x_trj[step] = x\n",
    "        v_trj[step] = v\n",
    "\n",
    "        x_trj = np.array(x_trj)\n",
    "        v_trj = np.array(v_trj)\n",
    "        Epot = calc_potential(x_trj, k)\n",
    "        Ekin = calc_kinetic(v_trj, mass)\n",
    "        Etot = Epot+Ekin\n",
    "        \n",
    "        if (step % 100 == 0):\n",
    "            print(\"Step %d - Potential = %f kJ/mol, Kinetic = %f kJ/mol, TOTAL = %f kJ/mol\" \n",
    "                 % (step, Epot[step], Ekin[step], Etot[step]))\n",
    "\n",
    "    return x_trj, v_trj, Epot, Ekin, Etot\n",
    "\n",
    "x_0 = 1.0\n",
    "v_0 = 1.0 #Saving initial velocities and coordinates to position and velocity vectors\n",
    "\n",
    "MDSteps = int(1E04)\n",
    "dt = 0.1\n",
    "\n",
    "x, v, ep, ek, et = VelocityVerletIntegrator(x_0, v_0, MDSteps, dt, mass=1, k=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Plot trajectory of phase space for 1D oscillator\n",
    "\n",
    "fig = plt.figure(figsize=(12,6)) \n",
    "\n",
    "ax1 = fig.add_subplot(121)\n",
    "\n",
    "ax1.plot(x, v)\n",
    "ax1.set_xlabel(\"x\")\n",
    "ax1.set_ylabel(\"v\")\n",
    "\n",
    "ax2 = fig.add_subplot(122)\n",
    "\n",
    "dt = 0.01\n",
    "\n",
    "time = np.linspace(0, MDSteps, MDSteps*dt)\n",
    "\n",
    "ep_short = [ep[i] for i in np.arange(0, len(ep), int(1/dt))]\n",
    "ek_short = [ek[i] for i in np.arange(0, len(ek), int(1/dt))]\n",
    "et_short = [et[i] for i in np.arange(0, len(et), int(1/dt))]\n",
    "\n",
    "ax2.plot(time, ep_short, color=\"green\", label=\"Potential Energy\")\n",
    "ax2.plot(time, ek_short, color=\"blue\", label=\"Kinetic Energy\")\n",
    "ax2.plot(time, et_short, color=\"red\", label=\"Total Energy\")\n",
    "ax2.legend(loc=\"best\")\n",
    "\n",
    "fig.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "class MD_TriplePotential:\n",
    "    \n",
    "    \"\"\"\n",
    "    1D MD simulation over a triple well potential using the symplectic\n",
    "    Velocity Verlet integrator\n",
    "    \n",
    "    Potential - V(x) 4 + 1.5cos(2pix/1.7) + 1.8cos(3pix/1.7) + 2sin(3pix/1.7)\n",
    "    Force - F(x) = -dV(x)/dx = (6pi/17)(5sin(2pix/1.7) + 9sin(3pix/1.7) - 10cos(3pix/1.7))\n",
    "    \n",
    "    Starting coordinate fixed at 1.9, but is tunable\n",
    "    \"\"\"\n",
    "    \n",
    "    def __init__(self, x_i, v_i, n_steps, dt, mass=1.0):\n",
    "    \n",
    "        #Initialising arrays for x, v and energies\n",
    "    \n",
    "        x_trj = np.zeros(n_steps, dtype=np.float64)\n",
    "        v_trj = np.zeros(n_steps, dtype=np.float64)\n",
    "        \n",
    "        x_trj[0] = x_i\n",
    "        v_trj[0] = v_i\n",
    "    \n",
    "        Epot = np.zeros(n_steps, dtype=np.float64)\n",
    "        Ekin = np.zeros(n_steps, dtype=np.float64)\n",
    "        Etot = np.zeros(n_steps, dtype=np.float64)\n",
    "    \n",
    "        self.x_arr = x_trj\n",
    "        self.v_arr = v_trj\n",
    "        self.epot = Epot\n",
    "        self.ekin = Ekin\n",
    "        self.etot = Etot\n",
    "        \n",
    "        self.dt = dt\n",
    "        self.mass = mass\n",
    "    \n",
    "    #Setting functions for calculation of forces, potential energy and kinetic energy\n",
    "\n",
    "    def calc_Force(self, x, a=1.7):\n",
    "        q = ((2*math.pi)/a)\n",
    "    \n",
    "        return (6*math.pi/17)*(5.0*math.sin(q*x) + 9.0*math.sin(1.5*q*x) - 10.0*math.cos(1.5*q*x))\n",
    "\n",
    "    def calc_TriplePotential(self, x, a=1.7):\n",
    "        q = ((2*math.pi)/a)\n",
    "    \n",
    "        return 4.0 + 1.5*math.cos(q*x) + 1.8*math.cos(1.5*q*x) + 2.0*math.sin(1.5*q*x)\n",
    "    \n",
    "    def calc_KineticEnergy(self, v):\n",
    "        return 0.5*self.mass*(v**2)\n",
    "    \n",
    "    #Functions for performing Velocity Verlet integrations of positions and coordinates\n",
    "    \n",
    "    def VelocityVerletUpdate_position(self, x, v, stepf=1.0):\n",
    "        return x + v*self.dt*stepf\n",
    "\n",
    "    def VelocityVerletUpdate_velocity(self, v, F, stepf=1.0):\n",
    "        return v + (0.5*self.dt*stepf)*F\n",
    "\n",
    "    #Function for Velocity Verlet MD update\n",
    "\n",
    "    def step(self, step):\n",
    "        \n",
    "        x = self.x_arr[step-1]\n",
    "        v = self.v_arr[step-1]\n",
    "        \n",
    "        self.epot[step-1] = self.calc_TriplePotential(x)\n",
    "        self.ekin[step-1] = self.calc_KineticEnergy(v)\n",
    "        self.etot[step-1] = self.ekin[step-1]+self.epot[step-1]\n",
    "        \n",
    "        if (step % 1000 == 0):\n",
    "            print(\"Step %d - X = %f \\n Potential = %f kJ/mol, Kinetic = %f kJ/mol, TOTAL = %f kJ/mol\" \n",
    "                 % (step, self.x_arr[step-1], self.epot[step-1], self.ekin[step-1], self.etot[step-1]))\n",
    "\n",
    "        f = self.calc_Force(x)\n",
    "        v = self.VelocityVerletUpdate_velocity(v, f, stepf=0.5)\n",
    "        x = self.VelocityVerletUpdate_position(x, v, stepf=1.0)\n",
    "        f = self.calc_Force(x)\n",
    "        v = self.VelocityVerletUpdate_velocity(v, f, stepf=0.5)\n",
    "        \n",
    "        self.x_arr[step] = x\n",
    "        self.v_arr[step] = v\n",
    "        \n",
    "    @property\n",
    "    def get_outputs(self):\n",
    "        return self.x_arr, self.v_arr, self.epot, self.ekin, self.etot\n",
    "    \n",
    "    @property\n",
    "    def get_xarr(self):\n",
    "        return self.x_arr\n",
    "    \n",
    "    @property\n",
    "    def get_varr(self):\n",
    "        return self.v_arr\n",
    "    \n",
    "    @property\n",
    "    def get_epot(self):\n",
    "        return self.epot\n",
    "    \n",
    "    @property\n",
    "    def get_ekin(self):\n",
    "        return self.ekin\n",
    "    \n",
    "    @property\n",
    "    def get_etot(self):\n",
    "        return self.etot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Running of MD_TriplePotential class instance\n",
    "\n",
    "x_0 = 1.9\n",
    "v_0 = 1.0 #Saving initial velocities and coordinates to position and velocity vectors\n",
    "\n",
    "MDSteps = int(50000)\n",
    "dt = 0.001\n",
    "\n",
    "Test_VV3W = MD_TriplePotential(x_0, v_0, MDSteps, dt)\n",
    "for i in range(1, MDSteps):\n",
    "    Test_VV3W.step(i)\n",
    "    \n",
    "x, v, ep_trip, ek_trip, et_trip = Test_VV3W.get_outputs\n",
    "\n",
    "#Plot trajectory of phase space for 1D oscillator\n",
    "\n",
    "fig = plt.figure(figsize=(12,6)) \n",
    "\n",
    "ax1 = fig.add_subplot(121)\n",
    "\n",
    "ax1.plot(x, v)\n",
    "ax1.set_xlabel(\"x\")\n",
    "ax1.set_ylabel(\"v\")\n",
    "\n",
    "ax2 = fig.add_subplot(122)\n",
    "\n",
    "time = np.linspace(0, MDSteps, MDSteps*dt)\n",
    "\n",
    "ep_short = [ep_trip[i] for i in np.arange(0, len(ep_trip), int(1/dt))]\n",
    "ek_short = [ek_trip[i] for i in np.arange(0, len(ek_trip), int(1/dt))]\n",
    "et_short = [et_trip[i] for i in np.arange(0, len(et_trip), int(1/dt))]\n",
    "\n",
    "ax2.plot(time, ep_short, color=\"green\", label=\"Potential Energy\")\n",
    "ax2.plot(time, ek_short, color=\"blue\", label=\"Kinetic Energy\")\n",
    "ax2.plot(time, et_short, color=\"red\", label=\"Total Energy\")\n",
    "ax2.legend(loc=\"best\")\n",
    "\n",
    "fig.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Animated plot of the system state on the potential energy over the simulation time\n",
    "\n",
    "\n",
    "\n",
    "#-----------------------------------------------------------------------------------\n",
    "#Setup of MD_TriplePotential class instance\n",
    "\n",
    "x_0 = 1.9\n",
    "v_0 = 1.0 #Saving initial velocities and coordinates to position and velocity vectors\n",
    "\n",
    "MDSteps = int(50000)\n",
    "dt = 0.001\n",
    "\n",
    "Test_VV3W = MD_TriplePotential(x_0, v_0, MDSteps, dt)\n",
    "#-----------------------------------------------------------------------------------\n",
    "\n",
    "# set up figure and animation\n",
    "\n",
    "x = np.linspace(0.125, 3.5, 1000)\n",
    "\n",
    "fig = plt.figure(figsize=(12,6))\n",
    "ax = fig.add_subplot(111, autoscale_on=False,\n",
    "                     xlim=(0.125, 3.5), ylim=(-0.1, 8.0))\n",
    "ax.grid()\n",
    "\n",
    "#Build the triple well potential\n",
    "A = [1.5, 1.8, 2]\n",
    "a = 1.7\n",
    "q = (2*math.pi)/a\n",
    "potential = [(A[0]*math.cos(q*x[i]) + A[1]*math.cos(1.5*q*x[i]) + A[2]*math.sin(1.5*q*x[i]) + 4) \n",
    "      for i in np.arange(0, len(x))]\n",
    "\n",
    "ax.set_title(r'Test MetaD - Height=' + str(height) + r', Width=' + str(width), fontsize=16)\n",
    "ax.plot(x, potential, linestyle=\"-\", color=\"purple\")\n",
    "ax.set_xlabel(r'\\textbf{CV Value}')\n",
    "ax.set_ylabel(r'\\textbf{Free Energy (kJ/mol)}')\n",
    "\n",
    "\n",
    "point, = ax.scatter([], [], marker=\"o\", color=\"blue\")\n",
    "time_text = ax.text(0.02, 0.95, '', transform=ax.transAxes)\n",
    "energy_text = ax.text(0.02, 0.90, '', transform=ax.transAxes)\n",
    "\n",
    "def init():\n",
    "    \"\"\"initialize animation\"\"\"\n",
    "    point.set_data([], [])\n",
    "    time_text.set_text('')\n",
    "    energy_text.set_text('')\n",
    "    return point, time_text, energy_text\n",
    "\n",
    "def animate(i):\n",
    "    \"\"\"perform animation step\"\"\"\n",
    "    global Test_VV3W\n",
    "    Test_VV3W.step(i)\n",
    "    \n",
    "    x_trj = Test_VV3W.get_xarr\n",
    "    e_pot = Test_VV3W.get_epot\n",
    "\n",
    "    point.set_data(*x_trj[i])\n",
    "    time_text.set_text('X_Val = %.1f' % x_trj[i])\n",
    "    energy_text.set_text('Energy = %.3f kJ/mol' % e_pot[i])\n",
    "    return point, time_text, energy_text\n",
    "\n",
    "# choose the interval based on dt and the time to animate one step\n",
    "from time import time\n",
    "t0 = time()\n",
    "animate(0)\n",
    "t1 = time()\n",
    "interval = 1000 * dt - (t1 - t0)\n",
    "\n",
    "ani = animation.FuncAnimation(fig, animate, frames=3000,\n",
    "                              interval=interval, blit=True, init_func=init)\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}