{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " \n", "
\n", "\n", "# Landau Energy - Multidimensional X-data Example\n", "Author(s): Paul Miles | Date Created: July 18, 2019\n", "\n", "This example demonstrates using [pymcmcstat](https://github.com/prmiles/pymcmcstat/wiki) with multidimensional input spaces, e.g. functions that depend on two-spatial variables such as $x_1$ and $x_2$. For this particular problem we consider a 6th order Landau energy function, which is used in a wide variety of material science applications. \n", "\n", "Consider the 6th order Landau function:\n", "\n", "$$ u(q;{\\bf P}) = \\alpha_{1}(P_1^2+P_2^2+P_3^2) + \\alpha_{11}(P_1^2 + P_2^2 + P_3^2)^2 + \\alpha_{111}(P_1^6 + P_2^6 + P_3^6) + \\alpha_{12}(P_1^2P_2^2 + P_1^2P_3^2 + P_2^2P_3^2) + \\alpha_{112}(P_1^4(P_2^2 + P_3^2) + P_2^4(P_1^2 + P_3^2) + P_3^4(P_1^2 + P_2^2)) + \\alpha_{123}P_1^2P_2^2P_3^2$$\n", "\n", "where $q = [\\alpha_{1},\\alpha_{11},\\alpha_{111},\\alpha_{12},\\alpha_{112},\\alpha_{123}]$. The Landau energy is a function of 3-dimensional polarization space. For the purpose of this example, we consider the case where $P_1 = 0$.\n", "\n", "Often times we are interested in using information calculated from Density Functional Theory (DFT) calculations in order to inform our continuum approximations, such as our Landau function. For this example, we will assume we have a set of energy calculations corresponding to different values of $P_2$ and $P_3$ which were found using DFT. For more details regarding this type of research, the reader is referred to:\n", "\n", "- Miles, P. R., Leon, L. S., Smith, R. C., Oates, W. S. (2018). Analysis of a Multi-Axial Quantum Informed Ferroelectric Continuum Model: Part 1—Uncertainty Quantification. Journal of Intelligent Material Systems and Structures, 29(13), 2823-2839. https://doi.org/10.1177/1045389X18781023\n", "- Leon, L. S., Smith, R. C., Oates, W. S., Miles, P. R. (2018). Analysis of a Multi-Axial Quantum Informed Ferroelectric Continuum Model: Part 2—Sensitivity Analysis. Journal of Intelligent Material Systems and Structures, 29(13), 2840-2860. https://doi.org/10.1177/1045389X18781024" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.9.0\n" ] } ], "source": [ "# import required packages\n", "import numpy as np\n", "from pymcmcstat.MCMC import MCMC\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib import cm\n", "import seaborn as sns\n", "from pymcmcstat import mcmcplot as mcp\n", "import scipy.io as sio\n", "import pymcmcstat\n", "print(pymcmcstat.__version__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the Landau energy function." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def landau_energy(q, data):\n", " P = data.xdata[0]\n", " a1, a11, a111, a12, a112, a123 = q\n", " u = a1*((P**2).sum(axis = 1)) + a11*((P**2).sum(axis = 1))**2 + a111*((P**6).sum(axis = 1))\n", " u += a12*(P[:,0]**2*P[:,1]**2 + P[:,0]**2*P[:,2]**2 + P[:,1]**2*P[:,2]**2)\n", " u += a112*(P[:,0]**4*(P[:,1]**2 + P[:,2]**2) + P[:,1]**4*(P[:,0]**2 + P[:,2]**2) + P[:,2]**4*(P[:,0]**2 + P[:,1]**2))\n", " u += a123*P[:,0]**2*P[:,1]**2*P[:,2]**2\n", " return u" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can generate a grid in the $P_2-P_3$ space in order to visualize the model response. The model is evaluated at a particular set of parameter values, and the surface plot shows the general behavior of the energy function." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nOy9eZQj9Xnv/S1t3ZJa3ep9n95n6Zlh1p6Fy2uPg/HJIcbENobxErxg+5g3TggOOHNj7rWd5MLgN7axiZecGAPBC5dwnAzGhNjBd+yAgRlmzFyGgZnultSrWurWvksl1fuH+FWXSlVSVanUrW7qcw5nGI1q0Vbfep7f93keimEYaGhoaGho1Bq69T4BDQ0NDQ0NITSB0tDQ0NCoSTSB0tDQ0NCoSTSB0tDQ0NCoSTSB0tDQ0NCoSQxl/l2z+GloaGhoVBtK6EEtgtLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEk0gdLQ0NDQqEnKDSzU0KhZGIZBNptFKpWCwWCAXq+HTqcDRVGgKMH5ZxoaGhsIimFKDs3VJupq1BwMw4CmaWSzWTAMg2QyWSRIer2e/U+n00Gv12vCpaFRuwj+MLUISmPDQISJpmkAYMWGiA/3eblcjhUwvihlMhnYbDZWvEjUpaGhUVtoAqVR8xCx4QoTERShDIBYpMQwDNLpNC5duoSrrrqq4DkkyuJGXZpwaWisL5pAadQsuVwONE1jenoaHR0dsFqtFQkGRVHQ6/UAAINh9atPRI6maWQymYJtNOHS0Fg/NIHSqCkYhgHDMMhkMsjlcgCAWCyGbDYrKApqCAXZB39f5YRLp9MVmDM04dLQUBdNoDRqArJuRNM0K0wkVafT6QRTeQCQzWYRjUZhsVjY6KgUFEWJ7kvoudw/uedKjk3TNLvOxTAMG3EZDAZWtDRnoYaGMjSB0lhXSgkTQUhUaJrG7OwsFhcXYbVakUgkkMvlUF9fD4vFAqvVyv7HFS45AiWGVOEizM7OYmBgQDRVqAmXhoYwmkBprAukhokbgYhdrHU6HSte6XQaMzMz8Hq96Ovrw5EjR9j0H8MwSKVSiMViiMViWFhYQDweRzabRV1dHaxWK8xmM+sE5K5DqYGYcC0vL2NwcLBIuMhzhaIuTbg0NDSB0lhjhIRJpyvd0ISiKKRSKbzxxhsIBALYsmULjh49yqb+stks+7z6+npcvPrdAICD559nj5lOpxGLxRCNRpHJZHDhwgVks1mYTKaCaMtqtVZFuEo5C4lLMZ1OF/wbN+LSipA13o5oAqWxJvCLa6UIE5A3SKysrMDr9WJsbAzbt2+XfYGmKAp1dXWoq6tDS0sLPB4PDhw4UCBcsVgMS0tLiMVioGkaRqMRDQ0NBelCo9Go9OWXPLdywsV9jDgR+alCzaChsRnRBEqjqggV10oRpkgkAofDgWQyiYaGBnR2dqKrq0vVc+MLF/ecM5kMK1wej6dAuPgR13oJF78IWbPEa2w2NIHSqArkIupwONDR0QGz2SzpQhkMBuFwOJDL5TA8PIzm5mY4HA5F5/DK/mvYNJ8cKIqCyWSCyWRCc3Nzwb+RiCsej8Pr9SIWiyGTycBgMBQJl8lkUnTe5c5NTLiIsC4uLiKTyaCnpweAJlwaGxdNoDRUhTjySGoqHA6jtbW15MWQYRj4/X44HA4YDAaMjIygqamJ/XeuSWK9ERMubsS1vLwMl8vFClcymcTc3FyBcKktDvzuGgzDQK/Xa0XIGhsaTaA0KkaouJZbwyQmLgzDYHl5GQ6HAxaLBTt27EBDQ0PR89Swhlcbo9EIu90Ou91e8DhN03jllVeg1+vh8/kwOzuLdDoNvV4vGHGpJQ58R6FWhKyxEdEESkMxUmqYhAQql8thaWkJMzMzaGxsxFVXXQWLxSJ6nI0gUGKQizxJtxFomkY8Hkc0GoXf78fc3BxSqRT0en1RHVddXZ0scRBqkMtHK0LW2AhoAqUhG74wSa1hyuVyWFhYwOzsLNra2rBv3z7U19eXPR5FUYpTfErXoaqNwWBAY2MjGhsbCx4nwhWLxRAIBDA/P49UKgWdTscKFhGw+vp60fUopcgtQibPJQaS+vp6Tbg0VEMTKA3JyCmuJeh0OmQyGbhcLiwsLKCzsxMTExOyDAQ6na7Abl2KxU/fJHm/tYiYcGWzWVa4QqEQFhcXkUwmodPpiiIuKRGUXMoJl9vthtFoRGdnZ8E2WhGyRiVoAqVRFiXFtUDeOBAMBrG4uIiBgQEcPnxYURHsRk7xqYVer4fNZoPNZit4nCtc4XAYbrcb4XAYFEUhGAwWCJdUJ6UcuPsjZguCVoSsUSmaQGmIorS4NpVKweVyYWVlBWazGVu3bi1ag5GDJlDiCAnX3NwcdDodmpqaEIvFEIlEsLS0hGQyCQCwWCywWCxsIbLZbJb0uZYil8sV7UNOETL39WhFyBoETaA0iiAdFtxuNzo7OyULUyKRgNPpRDAYxODgIMbGxjAzM1Px+ZSzmfMvXj37u7B4fon9e62uQ1UTnU6HhoaGIldkLpdDIpFg2z55PB4kEgkAgNlsLoq4pAqXnLSiVoSsIRVNoDRYuJNrs9ksZmZm0N3dXXa7aDQKp9OJWCyGoaEh7Nixg71wqFHDpHYEtdmjsVJiwTVbcOEKF6nlisfjAID6+voC4bJYLEXCJRRByUVKEXI6nWafQ9M0YrEY2traNOHapGgCpVFUXEtRFAwGQ1lhCYfDcDgcSKfTGB4eFizIVUOgSs2D0ihGiUmilHAlk0lWuFZWVhCPx8EwDBtxWSwWpFKpqn1GYsKVSCTgdrtht9u1IuRNiiZQb1NKFdeWIxAIsO2HSDsiMYiLrxLEbOaJRAIOhwM+nw86nQ5msxmtEve3mVHTxUdcghaLBe3t7QXH4ApXJBJBNBrF9PS0YMQlZZikXEjUxo/ctCLkzYMmUG8zpBTXim23srICp9MJk8mEsbGxIiu0EGoNCOTuIx6Pw+FwIBKJYGhoCCMjI6AoColEAsG3nsNfh/L/5Z+A/quvszZsjcqgKApmsxlmsxltbW1IJBLo6emBzWZjhSsej8Pv9yMej0saJimXXC4nuH0lRcjaQMnaQhOotwlyimv523k8HjidTthsNuzcubMoDVQKNVN80WgUDocDiUQCw8PD2LlzJwCw6xLBP7+15H5isRi8Xi/i8TjOnj1bdLGshg17PahGHVQ5uN8pIlz8cyo3TJIbcUkpR5C77qW0CFks4toM35VaRxOoTY6S4log/+NPp9N48cUX0dzcjL179xZddKSghkAlEgl4vV5EIhGMjIygpaWl4PylRmlDQ0MAgLNnz+LAgQNs/RCxYScSCcHCV7GODbXKeggUiULEoKj8MMn6+nq0trYWbMedybW4uIhYLCZpmKQaxgxybtw/uedGjpNKpdjHA4EATCYTGhsbtSLkKqMJ1CZFaXFtNpvFwsIC5ubmkMvlcODAAdTV1Sk+j0oEKhQKFcyEOnDggOLzEDovIRt2uY4NDQ0NinvkrRXrkcJUKooUJT6Tq9QwSavVyn6vMplM1WZycf8khMNh2Gw2rQh5DdAEapPBNT7IESaapjE3N4eFhQV0d3fj0KFDOHv2bMUzjZQIVDAYxPT0NABgZGQEer0eTqdT9rHJOtTwu/KRk/8v/wQtX38MgPgFtVzHhmg0WtAjjzR35QpXNcZpyGU9UnxqRDOEUsJFRpuQm4fXXnutaJgk+UyqIVzZbJaNmviUquXSipDlownUJoE7ufall17C0aNHJV0w0uk0ZmZm4PV60dvbi6NHj7ILzyR1VskPSI5FnMyE0uv1GB0dZWdCRaNRVaMCJa9LTLi4zV3FxmnQNI10Og2j0bgmF6P1SvGtxTEpanWYJKnT6u3tBVA4TJI/k0vNYZLZbFbU3KEVIauLJlAbHG5xLSD9zjmZTMLlcsHv92PLli2CgqbX65HNZiu6My7XiZwMK5yenobJZMK2bduKRKASJ2DPfuEx8WoJXqmu5CQ9RdM0Xn/99TWbvLseKT61Iyipx+SuSSkZJsntDi81+i0lUGLILUIGNOECNIHasAgV1/K7Nwj9iOLxOJxOJ8LhMAYHB7Ft27aSXQfUcOAJ7YPY1h0OB8xmM8bHxwWHFQLqdpLw/+WfgPrIX6iyr1IYDAY0NTWhqakJCwsL2LdvHwDxiyU3PUX+qyQ9tVkjKC5SRVFsmGQmkykb/QoJlxKBEqOUcAGFtVzBYL6IoqWl5W0jXJpAbSCkFteSyIf7I4pEInA6nUgkEhgaGsL4+HjZL7Rer1ddoBiGgdfrhdPpRENDA3bv3l1yWKHQPoTIfe+vJZ/TejafFbtYcg0BHo+nwBDAXd/iO9mEqGWxUJNKo3uj0cjeRHApN0ySdI4HUDWjjJBBIxaLsdG2UBEyRVFFrkK9Xr+hhUsTqA2A3OJarrCEQiFMT08jm81ieHi4yKJdCjlzmErtgxg2SD1VY2Mj9uzZI9m2LlVQOvePwXN+UtI+a61YVyg9RW5GotEoYrEY3G63oAWbdCUnwrWZ16C4iGUJKqXcMMlAIIBQKAS32y17mGQl0DQNi8Ui+NsXK0JeWlrCAw88gO9///uqnstaoQlUDUOs4tlsVlZxLUVR8Pl8WFxchMFgwMjISNFdohTUSPEB+TomUk8ldYoul3ICJfdCsFHuKIkhoKWlpaQFm1/0mkqlYDQaWWt8NS7iYue7lqx11EaEy2g0YnR0tCDlJ3WYZCXCRdO0aPQsZokPhUIIhUKKjlcLaAJVgygtrmUYBsvLywgEAsjlcti+fXuR4UAOlQhULpfD4uIiXC4XaJrG0aNHFddTVXIeXQe3AgCCk3PsYwM/+gaY+x5StL9aoJQFO5VK4c0332TLBrhthtaiP95ash5pRQLfPi51mGQikQBFUYq6mJQSKDFCoZCim9NaQROoGkJpcS3DMFhaWoLL5UJjYyPa2trQ399fkTgBylJ8uVwO8/PzmJubQ3t7O/bv34/XXnutomLfaqwZ1VqKTw1It4a6ujp0d3eznz+/sSu3Px5/BpTQKI1aZT0FSgpiwpXL5Yq6mEgZJqnEnBEMBovWOzcSmkDVAOTOd3l5GW1tbZKFiUQps7OzaGlpYdNnly9fViU1J8ckkc1mMT8/j/n5eXR2duLQoUMwGo3I5XJrOm5DyjpUy+4xJDehQBH460H8xq7c53FnQJFRGkBlwwvXikpNEuuF0mGSkUiEzY5I/TxCoZAmUBrK4BbX0jQNp9OJjo6Osttls1m260NHRwcOHjxYUEtDXHyVIiW1xu1A0dPTg8OHDxekIdSKfirdh32svyDNV//414BP/M9KT2tDQ1JN/FEa/OGFXq+3aOoucRaS1NR61V6tdZqymq9Tp9PhXP87AQDv8L/CPk4+jwsXLiCZTCIQCEgeJqkJlIZshIprjUZjWVHJZDKYnZ2F2+1Gb29vkRgQ1BKoUhEUTdOYmZlhz+XIkSOC56LGwrnYPkjU1vGv3674GJsJNbp/lJu6y22wS1EUW/hNhGstGuyuV3FwtY/JFSdg9fMwGo0YHh4uOBexYZKxWAw///nPkUgksHv3biSTScnmpE996lN4+umn0dHRgYsXLwLId3m55ZZb4HK5MDg4iCeeeALNzc1gGAZ33HEHnnnmGVgsFjzyyCPYv3+/au+FJlBrSKni2lKkUinMzMxgeXkZ/f39Be2IhFDDHi62n0wmA5fLBa/Xi76+vrLnUg246cSuruJOEXLs5puRalm+ucLFjfRzuRzOnDkDs9mMcDhcNRcbn/WqvaoVc0mpYZI+nw9erxc/+9nP8Ktf/Qr/+q//imQyiY985CP44he/WHK/n/jEJ/D5z38et966Or7m5MmTuPbaa3HixAmcPHkSJ0+exP33349///d/x+TkJCYnJ/Hyyy/j9ttvx8svv6zaa9QEqspUMrk2kUjA5XIhEAhgYGAAo6Ojkn6Q1UjxpdNpuFwuLC8vi7ZGqjZcYeru7mYjyITSHT7yN5i79pNsymqteuVtNkhRaGdnZ8HjpezX/E4NSgpeN5tA/bbloCr7oSgKbW1tuOWWW/D888/jc5/7HI4cOYJcLodoNFp2+3e84x1wuVwFj506dQqnT58GAHz84x/HsWPHcP/99+PUqVO49dZbQVEUjhw5gmAwCLfbje7ublVeiyZQVULp5FogXzHucDgQjUYxNDSE7du3y25sWumYdbKfeDyON998s2TPvmpDRhq89NJLBcJUDmIxJ/DXoYB8bQu3zY3BYGDTVORPudbe9Wati2bF1mVK2a9JWorfGb5UiyEh1vqGYr0iKFIHKZdwOMyuQel0OklTsIXweDys6HR1dcHj8QAAFhYW0N/fzz6vr6+PnYigBhvrl7cBUFrDBOS//K+++irS6TSGhoZYR59c1IigkskkFhcXEYlEsG3btpI9+6oF1wzCMIxkYQLyaT4h7GP9BX/n/5BIr7xoNFowg4g79ZVYgGsl1cNnPQRKzk2LXq8v2akhGo0W3TRUu8GuVNZLoJQeNxQKFTXPrZS1nG2lCZRKVCJMgUAADocDqVQKO3bsKLACK6ESgeI2k21paUFjYyN6enoqOh+5cIWJRExnzpxRJZLRlVkoFuqVRzo3kJZD8/PziMViBXVEXFfbeluf10Og1DieWIsh0tQ1Go0WNNhNJBK4fPlywftfjflPXKolUOXSe0qKdAH1XHydnZ1s6s7tdrNrkL29vZibW81KzM/Ps+NP1EATqAohVnHunBepxbU+nw8OhwMmkwljY2O4fPmy4hCcixKTBEkrxmIxDA8PY3x8HD6fDz6fr+LzkYqQMJVtjPr0d1E/OoLk1LSkYxh7+5BZmF994JG/KWs353Zu4I8rTyaTrHBx7djEHNDQ0FAwPHIzUu3XJtbU9cyZM+js7GTf+2g0WjS4UO00bbUjKL6Dj6BUoGiaViXafN/73odHH30UJ06cwKOPPoobb7yRffwf/uEfcPz4cbz88stoampSLb0HaAKlGCJMLpcLXV1dbO8zKduRbt5Wq7VgzITBYFDlCyUngopGo5ienkYymcTw8HBBWlEtswVQ+iLGFSahWqpahVsAy68j4ra4SaVSOHv2LGsO4K5xVcOYsdZiuF4dHSiKKtsZnpum5TbYldoZns96pfiUCJTSmq0Pf/jDOH36NFZWVtDX14evfvWrOHHiBG6++WY89NBDGBgYwBNPPAEAuP766/HMM89gdHQUFosFDz/8sKJjilH7V4Eag1tcCwA+nw9tbW1lRSWXy7HtiOx2u2A3bzXrl8rtJxKJYHp6Gul0GiMjI4JdztVqFis2n6rawlQ3NobU5NrbzfmdAnw+HyYmJgrMAdU0ZmzUFJ/cY4oh1hmeK1zczvDc9UXyn5gIVUOgnLfcUPY5lRxX7mfz05/+VPDx5557TnDf3/nOdxSdlxQ0gZKIUHEtRVFs1CNGNpvFwsIC5ubm0NbWhgMHDoj2pTMYDFUvsCXjN3K5HEZGRkouoFZLoJQKU6kLYSVpPuNvfoTMOz8madtKEDMHqG3MWOuuDhuhYLZUg13u+uLCwgK7vijUpYGMOqkG/deJp8aURFByinNrFU2gylCuuFZMoEgLoMXFRXR1dbG96UpRzQiKGDEAYGRkRNLCqRoDC4FVgcpms5idncXCwkLJThhCyL0LrN+2tfyTaoRSxgwiXHKNGZs9glJLFEutL6ZSKfb9Jw12yUU/FosV3DhUW6CVCFQwGNzQncwBTaAEkVNcyxeodDqN2dlZeDwe2RdhvV5fMhqTCleg/H4/pqenYTAYMDY2JsuEoVZHCoqiMDs7C6/Xi56eHtG2SOX2sR6919aLUnf8XGPG8vIy25eNGDPS6TRbV7QWwrERIii5kM7w9fX1BcI1OTnJrh0SO3wikSjqDN/Q0CDJ0em85QbM/cpd9nzIsEI5bPQ+fIAmUAUoKa4lYpBMJjEzM4OVlRXFBa1qmhLS6TTOnDmDuro6xXOhKk3xkSgyEAjAZrPhyJEjFeXR+akr5unvlt2Ouw5VNzLKPr5eab5KkWLMoGkaU1NTBdNeq2nM2MgRlJLjWiwWNDU1qdoZvv+6bgz975+LHlfJGtRGnwUFaAIFoLIaplwuh9nZWbhcLgwMDGBsbEzxD6fcelY5yMBCp9OJTCaDAwcOFDX8lINSgeKmN3t6etDW1oaenp6Koh8pIzfkrEMRjEPD5Z+0AeAaM+bm5rB79242Ai5nzCD/Ka0hWq+WQ+shUGJCoaQzvMVigQWra0+lhP7tOKwQeJsLlNIBgUDenu1wOBAMBtHc3Ixdu3ZVfBep1+uRSqVkb0es6w6HAzabDbt378arr75akTiR85ET0XGFiXQ41+v1eO211ypeyyIpPo3ycC905YwZsVgMHo+nImPGekVQG6GjQ6nO8DMfvrHgsbNnz4KiqCJHYX19vWKB0lJ8GxClxbVA/kN3OBygaRrDw8Po7OxEOBxWrZKepAWkwJ2k29TUhL179xZZ1ytB6mvizoTq6+srSuWp4QasZOaQmN3c2NtX+PcNkuaTQrnPTk1jxmZcgxJDLZu50LkfOnSITdVGo9GCBrvJZBIMw6CxsVFyg11NoDYYRJgcDgf6+/vZLsxStiMuOJ1Oh+HhYfaD9/v9qhgbAOkRSy6Xg9vtxszMDJqbm9lJumsNX5jERm/ImYgrhpDIZXuGoF90FjxWPzoCCJxD3dgYkNu8U3TVQKkxg6IoZLNZJBKJNZkDBWx8gRJDbNruuXPn0NfXh0QiUdRglzvSpKGhgW2wGwqFsHXrxnGzCvG2ECh+ca3H40FfX1/ZHxLDMFhZWYHD4UB9fT22bdtWZDaodN2ISzkXHxnxPjMzU7amipx/NS4WNE0XDE4sNxNKjfQcN4IidVR9ZbbRUIdSxoxEIgG3241QKITJycmCcRrcNa5yXcnlsp4mCTWOyy/OLWWQIMdtamoqiohIg11uZ/grV67gm9/8JhobG7G0tITOzk7s3LkTnZ2dsj6Db37zm/jBD34AiqKwe/duPPzww3C73Th+/Dh8Ph8OHDiAxx57rKqNeze1QInVMBmNRmQyGdGcLsMw8Hg8cDqd7JqOmMVTbYESiqC4xb4dHR2YmJgo+6Ug+1KzMwNfmKS68tRK8ZE6qrm5ORw2h2Vtn+kdhXGufFeJzZTmqzZEiBobG2EwGDA4OAigcJyG3+/fNMYMwnr1VBQrc+GvMe7Zswfvfve7cffdd6OlpQW/+MUv8LWvfQ3XXntt2WGFhIWFBXz729/GpUuXYDabcfPNN+Pxxx/HM888gzvvvBPHjx/H5z73OTz00EO4/fbbVXuNfDadQEmpYRITFRKhzM7OSk6dqdX9QWhfJFIgA/qkFPsS1CqyBZQLE6FSgSJ5+QsXLrCdJ/B/fyX6/EzPCIyL5d18dG/ewWdYXrWbZzoH8OqrrxbYsmt5tEYtwJ9VJNeYYTKZZL/ftTTZVi6p/+8vqn6M5uZm0DSNj370o9i5c6eifdA0jUQiAaPRiHg8ju7ubvz617/GT37yEwD5wYVf+cpXNIGSSzqdLrCL8yERFIE7qbWjowMHDx6UHLaqVVzL3Rd3bUdpYasaNVU0TSOVSuGll14SND9IRalAcVOaADA+Ps4WTZJ3XGgdqlL21kfga+5HLBbD3Nwc4vE4W/9CLqINDQ1rtt5S60idB6XUmCFU+LqeEdRao3T9NhwOK54F1dvbi7vuugtbtmyB2WzGe97zHhw4cAB2u529FpHhhNVk0wkUceSV+lBJBJXJZArqdUp1fXj12Duw9/Rvix5Xq18dkP8ixmIxVhDKre2UopIuENyIiaIoHD58uKI5O3JNEgzDwO12w+Vyoa2tDRMTE5icnKz4jjnTPyaY5qPb+wqiKABobW0t6CDArWeJRCJwu91F6y0kClivYXrrRSVrneWMGUS4uIWvFosFNE3DbDavqTFDrR6Hi6/ko/v2HT1YfmOx7POVinElLr5AIIBTp07B6XTCbrfjQx/6EJ599llF+6qETSdQUpmbm8Pk5GTFQqDGDyOdTmNmZoYdo1zJ+RCURFA0TWNmZgZutxv9/f04cuQIXnnllYpfo1STBLHNO51OtLa2FkSyUkUu0593LUlN80mFW89ChrUBq+st/GF6RqORFa1sNruhU1LlqEY0wzVmcDs2kBsFp9OJVCqFqakpJBKJDWPM4Kb3iDiVM0gonQWVTqcVl53853/+J4aGhlhTzAc+8AG88MILCAaD7PmoPZxQiE0pUGI1M8lkEk6nEx6PB83NzbLbEYlFUUpJp9NwOp1se6Srr74aL730kioXMjkCRYRpaWmpSLDViBDL7YNrSrHb7YLuxFIiV400H978L2D7/1P2aWLrLaRDdjQaRTqdxu9//3s2bcVdbzGbzRs+TbiWhbpEiCwWCxobG1nxKmXM4AuX0mzA22EWFGHLli146aWXEI/HYTab8dxzz+HgwYN417vehSeffBLHjx8vGFxYLTalQPGJxWJwOp2IRCIYGhqC3W5HPB6XJU57T/8Wrx57h+i/y/mRJpNJuFwu+P3+itsjiSFFoPjCJLTGpIbZQqfTFaz5EUhrpunpaTQ1NZU0pXBvOujz/y7r+Jne1R58ctJ8lWAymdDS0oKWlhZ4PB4cPHiQ7ddG6ok8Ho/g3T+pZdko8E0Sa3VM7m+mEmNGuRlQBDUFSmp6r9LjKv1cDh8+jJtuugn79++HwWDAvn378NnPfhZ/9Ed/hOPHj+Oee+7Bvn37cNtttynav1Q2pUCRDyUSicDhcLDTYnfu3AmKouDz+RAKhVQ7nlRLN0lNBINBDA0NYdu2bVX7YZcSFinCRFCjozk/giL1ZdPT07DZbJI6YKhR7MuFOPgKHmuvbmUVt18bF26a0OfzYWZmpiBNyBWvWkwTSjVJqInUdFs5YwZ/BlQpY0alAkXSe+07etjHeg6OlN1OSQSVSqUqvsn56le/iq9+9asFjw0PD0k6AbAAACAASURBVOPMmTMV7VcOm1KgQqEQrly5glwuh+Hh4YLFV6Cy2iWhNB+xh4t9ieLxOBwOBxvB7dixo6QwqZEyERIWrjCRNaZyPzg1U3wMw8Dn82F6ehoWiwVXXXWV5BEC3BRf1N6PhuBcwb8LpfnE1qEy/WOgcsWiy+h474XENF+llEsTil1EiWiRbg7rxUZrdaTUmGEwGJBOp9fUmAEobxQrZ7ROrbIpBYpMixXr5Mu3mVcKsYfz101isRgcDgdisVhBBFduX2oU2HJTfHxhkrP2pkaKj6IoxONxnD17FvX19di1a5fsRrZSevFle4aKHsv0lL9DJURtPWiISEu7rAXcNCGBO9YhGo2y3bFJdNbQ0MCWB6htEhBjs4zbKGfMWFpaYkeZcFOz3JsFsfecRE+ZWL6TudFqlhQ9AcoEKhwOb/g+fMAmFaiWlpaSEZLSCEpsHYq/P25qcWRkBK2trZJ/wOWiMano9Xokk0lMTU3B4/HIFiZCpSm+QCCAyclJ5HI57Nu3r6jHmJzzKCeUOb1yK7wYkUUnbALCt16IjXXIZrNsk1GapvHGG28UdG/grreo2V0EWB+BWkvDAhGipqYmUBSF4eFh9hzIe17OmCFG3d0PlD2+kuvBZhi1AWxSgSqHmu2JuPsLh8OYnp4GTdMYGRkpSi1KQSwak0Mmk8Hy8jL8fj9GR0cVCRNBaYovGAxiamoKer0eAwMDiEQiisUJWI2ggo6LAITTfGH7FjQGZxUfYyOj1+ths9lgs9kwPz+PvXv3Ash/F4ib0O12IxaLIZvNor6+vshNqPQ7stFSfErhRzLc95wL15jh9XoRjUahrJfD6nHlNoMOBoNaBFWrlLubq3TBnb8ORdM0rly5ApPJhOHhYcXV20BlHSAymQxbT9Xc3Iy+vj5s2bJF8bkA8gUqFAphamoKFEVh69ataGxsRDAYrNiUonTcRsg+gKZQsWgFm4dgDxRb02stzVcpRqMRzc3NBd9Joe7kZIgeN2XF7Yxdis2S4lPrmHxjhuHUg4iJPPfMmTNlbxberrOggE0qUGtFIBDA9PQ0kskkOjs7MTY2VvE+lfT24woTSeUFAgEsLy9XfD5SBTMSiWBychIMw2B0dLQgvaBWs1il+wg1bSkQqVCTNNGONOZdfbWW5quUUt3JyZ0/d6QDN2VFLqTcC2Yti4WaKE29x66IF4xPTEyUNGZYrVZEo1E0NzfLuhHQBKqGkfohKrnz2/N/foML73onzp49C6PRiK1btyIcDqvWMFZObz8hYSI/WjV68QHlxSUajWJqago0TWN0dFTwR6HWPCj+66k0zceNoiJN/av73WRRlFR0Ol3JlFU0GsXS0hKi0SibJrRarYjH40gkErBarWsmGuslUHJT74ZTD4LMyOYaJAjljBmxWAxLS0uYm5tj59FJMWaEQiEMDW38m6pNKVBSIBdeqQut3NlQdQCMd/8lm+aLx+NIp9OqnJcUYclkMnC5XPB6vdiyZYvgGlO1BSoajWJ6ehrpdLrsepva86CECLZKd+spYaNEUWrWihHEaolSqRR7108GaAJg3YTkIlpu8qtSNroxo5RBgitEi4uLGB8fh8lkKjJmzM3NFUS5uVwOc3Nz8Pl82Ldvn2rnul68bQWKWM3LfeFItwOHwwGr1Ypdu3aB34dA7Y7mYsIiRZi4+1Gjia1ery+w5MfjcdZmOzo6WtBQVQy1Unz2XFTx9vw0Xzmitp7yT3obQ1EU6uvrUV9fD7fbjdHRUZjN5qKR5QsLC+zkV65oNTQ0qO4mrDaVCJRlsA+h18vPIxOCuwZVzpgxOTmJJ554AufPn8czzzyD73znO9i1axf++I//GNdcc43kYwaDQXz605/GxYsXQVEUfvjDH2Lbtm245ZZb4HK5MDg4iCeeeKKi9XYpbKxviESk3FmVc/Jx+8M1NjaWLCpV0xUotC85wkRQO4JKJBKYnp5GLBaTbZ2vVKBSqRTcbjdaOregOe0p+3yS5gvZB8o+V8wsIcRGGPGw3oYFsZHlNE0XtHhyOBysW5U/C6pW32O5AmU49aAqx5XSqYNEuRMTE5iYmMBtt92Ge+65B52dnXjttdckF8QT7rjjDvzhH/4hnnzySaTTacTjcdx777249tprceLECZw8eRInT57E/fffX8lLK8umFCigfEpITFS4ox7sdrtgfzhSD0XcfGpP1SXpQiXCxN2PGgJF0zSWlpbg9XoxMjKCtrY22RdApQKVyWTYZrpiKcSovV/wcTkEm4egz5X//BaWY/DMXa7pvnnrIVBSjmkwGETThNw2T3yDAHmfa2H2lpIIikmnYBlcbaHVtHMMcdc8rFtHoF6hSzGhUAgtLS3o7OxEZ2en7G1/+9vf4pFHHgGQLxg3mUw4deoUTp8+DSA/rPDYsWOaQFULfjeJXC7H5tFbWloEO2qLoXYElU6nMTk5qUiYCJUW2CaTSTgcDqysrKChoQH79u1TfIGQa5Lgdr4YGBjAkSNH4PP5EE2V35YQthc79cTce0LiFDDkR2rYsysFj+/bt49NYXH75vGnwq6lYWC9URpZctOEQrO3SJpwcXERyWQSer2efX/JPLdK5pTJRY5A8aMnkt6Lu9RrSFyKUCikOP3mdDrR3t6OT37yk7hw4QIOHDiAb33rW/B4POju7gYAdHV1seOBqsmmFSipEVQul8PCwgJmZ2fR3t4ua5ouf1+Vkk6n4Xa7sby8jG3btlVcYKtkwTyVSsHpdMLv92N4eBidnZ3wer0V3b1KNUlwR9zzXYlEnAKmzqI037KxF8055Zb6FUM32mi3pOcursTR31m4BkCaj5IU1tzcHGKxfOWLxWJBKpWCz+eTXFdUCbUaQcmBaxDg3v3TNM1GWzRN47XXXhMcGV+tm4NKTRIkegIA+sY/k7SNUtNLMplUPAuKpmmcP38eDz74IA4fPow77rgDJ0+eLHiO2LRytdm0AlUOnU7H5sI7OjowMTGhKFXj/+tPwv53D1UkUGRgodfrRXt7Ozo6OtDXV93O2kLn4HQ64fP5MDg4yHZaDwaDqjSLLfVDy+VymJ+fx9zcHLq7uxWNuK8WQX1bURTFh9t8lB8JxONxhEIhBIPBgroisk6jdpfy9VqDWpOLlcGApqYmNDQ0YGlpCfv37xe8OYjH42AYpmj2VqVpQqkCZTj3dNFjTTtXayTlpPcUpRUZpqLvQV9fH/r6+nD48GEAwE033YSTJ0+is7MTbrcb3d3dcLvdBYM75UKuB2VTw4qPUOOIvXByl+5yuWC1WnHo0CFFaQKyDjX7u2m0KLxbS6fTcLlcWF5exsDAAI4ePYp4PI7pafUmwZaDu841ODhYNJtKLTegEAzDYHFxES6XCx0dHYo/CyF8VCdaGG/R4ytUJ9qY4tSEnChqzhNBf6et7POIYcBoNGJkZNUGz20/xO9SzhUuJRfUatjMpbCWoshNKZa6OSB1RJFIBG63uyBNyHUTyvnOSXqd8+KmG+tWeeUQSqfpAso/k66uLvT39+Py5cvYtm0bnnvuOYyPj2N8fByPPvooTpw4oXhYIfnsJPcmlX2EDQpN05idncXi4iJ6e3uxfft2hEKhNc1hE4SEifzg1O4TKAa3yJd/DlzUmAfFhzgkHQ4HWlpaZEevQmm+gK69KM3npzoERWq9EWs/RNZd+BdUufbs9TATrJdAicFNE3Lv9Lmzt5aXl+Fyudg1RO57bLFYKo5qqe4+MDOV3WwqEahKRI3w4IMP4qMf/SjS6TSGh4fx8MMPI5fL4eabb8ZDDz2EgYEBPPHEE7L2SdyIMzMzeO6557C4uAiz2YzW1lZ88pOfvBbAFIBZhnOXtekFinsh7u3tZceZB4NB+Hy+NT2XUsJEUMt9J4bc0Rtq1DARuIMKGxsbsX//ftlNMPksG3slP3eF6mT/lBNFBfVtRY+pDbdLOfeCyl138Xg8mJ6eLujiQC6opH/beqT41ppK7P5Cs7e4Awyj0SibJuRHtWSmWan3l5vey/HEiTLJbwCttA9fpZ3M9+7di1deeaXo8eeee07xPimKwt133w29Xg+j0Yjl5WW2FySA/wHgCoAnKYr6L4ZhEsAmFqhMJoPp6Wl4vV7BC7EakcqWq0cw+7tp+P/6k8B7PyP65ZUiTAQ1BYqYE3Q6HWiaxtzcHBYXF9HX1yfZgKFWio+maZw9exZms1nWoEIAOO9IoVmhk7tcFBXQtRc/ZiifW5ea5qsUsu7CveBwuziQSIDMhKqvr0cymYTf718zC/xapxXV7uhQaoAhN6pNpVI4e/YsG50pLTWQapAAlL3WWu7Dd80116C7uxt79uzhu6SPURQ1AeD/BdBPUdTDDMPkNq1ARSIRmM1m0QuxGkMLW+59GLNvrUMZ/jgveNyUoRxhIqg52px0gXC73VhYWEBvb6+kKbr886lEMEOhECYnJ5FOp7F///6KRm5wkZrmk71fEXEKpBvRbApXtG+14Nqzuf3bstks/H4/a3bhW+C56auNbIFfq4JpblTb1tYGv9+PgwcPFqQJue/z1frVGyE10nvA+kVQ1UJo3eqt1J+eYZizAD7J/bdNK1BtbW0lP6RqzYQyGo2sI25lZQWDg4MYHR1dl27P6XQaZ86cQW9vLw4fPqwoL600xcftbr5161ZcvHhRNXEiBEydgICW+6jyhYliab4s9NBDmiD/3zkKV/WvjylBCLJeZTab2c76fJfb7OxsgQWeK1xKLfBvh1Eb3EhGKE0IADj3NKhsRugrWYCcNKwSgQoGgzUrUNzXfvHiRbS3t6O9vR0Mw2QBgKIo6m21BiWGWmsrJM03+OSDSNz1dczOzrLCxHfErQVcyzYA7Nmzp/iHJAO5c5hisRimpqaQTqcxOjqqWq8uqRFMQNdeJFp+SjgqWqE6oYf07wD3HAJp5e9pNeFf/MpZ4KPRaNFoDbkW+LVO8a23QAnBXXuiuldLRKihrWCcVwqeS9KEQjcIfJQML63lFB9FUYjFYnjwwQfh9XoRDAZx1VVX4c4777wewBWGYaa4z3/bClQ17vouXryIkZGRdROmxcVFzMzMoLOzE4cOHcIbb7xR8euUuj23V59QE1nuepgczjvE20d4ki1orZOWdstB+vvgTTajoz7A/r2UGNVaFCX17lysZ141LfBqUYsCxYcYJIg4EYMEfeOf4RAKx8X7fD52XLzRaCwwv2QymZIj44WoZYECgNnZWfzsZz/DF7/4Rfz5n/85EeCnAPwHgD+iKErHMEwO2MQCtRY/nnQ6jeWPnwB+9xkAwI4dOwoGwClFzsWc1BLNzMygra2toJao2o5AIN95wuFwIBgMYmRkBO3t7YLvvdKJuNXEl7ShwxziPVY6MqqltahqoMQCn8lkEAwG16xDudomiUqPmXFdELyQCkVPhFJdyckNwuLiIlZWVrC8vIzFxcWCqJY/dZdLKBRCf3/lPSrVhtw8raysYGRkBO9617swMTGB733ve/j+979/AwBSJKal+ADld/XcrgsDAwNovzr/vuq/+UXg3ocrPi8iLKXOi9vUtrW1VbBFUzUFivseDA0NYfv27SVvCuTO3xJCSBx8qcaCKMqTyN85ttcXPm8l0Yg2c7GweBNNRSIFFEdR/PPgUktRVDVs5qUs8GQeVCkLvMViUfWcai2CMvvmih6jhray/68bGAHjngf6ys8T498gXLp0Cf39/TAYDOw6otfrRSKRH37IdROS4YXhcLimIyiTyYQDBw5gfn4eFEWRnn6NAN4D4B8A6ID8QvCmFSg5IzekWkRTqRRcLhfbDoik8vyVnqzAeWWzWcEiYn6Ra6mmttXoAkHTNFwuF1vgKzWdqWY9lYY4a1kHZTAYYLPZUFdXh23btrHH544w51rg1eoCX0sCxY2eqGyxK1g3UNkgTWK8qq+vh9lsLsjQ5HI59n0OBAL4zW9+g7/9278FRVGYmpqCx+PB7t27sXv3btkGpWw2i4MHD6K3txdPP/00nE4njh8/Dp/PhwMHDuCxxx6T/fmR7+Xhw4dx+PBhpFIpvPvd78bdd98NAH8I4Pf8bTau11QCUkYASHHypVIpvPnmmzh37hxsNhuOHDmCnp4e9kfSokLUxEVoACIRppdeegl+vx/79+/H9u3bSy6gqtkFIpvNwul04uWXX4bRaMTRo0fR19cn+UKhRKB+fal43yR68STFJ/jy8SbyjqaVhDxjgzcpbPDwJ4qLi38zqawx50aHP6uIjDBva2vD4OAgdu3ahYmJCezbtw99fX0wGAzw+Xx4/fXXcebMGbz66quYmppiR8lL+Y7UkkBJRkL0JPe4Op0ONpsN3d3dGB0dxQc+8AH8/ve/x549e/De974X6XQajzzyCJ566inZx/3Wt76FHTt2sH//q7/6K9x5552YmppCc3MzHnroIdn7jMVi+O53v4ubb74Z999/P0KhED7/+c/j+uuvB4D/zTDMlwGwjj5gE0dQUihXC8Xt7M1toFqK7I/+F/Qf+1JF58VNzXG7L9hsNuzdu1dyl2I1UnzErv7iiy8qqqMiyBUoOetV/DQfACwnG4vSfAXbJFdz/yTNJ7T+JGaQ8Cfq0WJOFjz2m0kz3jmWkHze1WCtO0lIPZ7QmotSC3w2m5XtbKsUIaHIuC6w/59o6YNlOd+Dj9Hln0fl3voN6/OZEPrAe2UfV4nNPBaL4dprr8XAQPmBnULMz8/jF7/4Bb70pS/hG9/4BhiGwa9//Wv85Cc/AZCfBfWVr3wFt99+u6z9/vM//zOeeuop7NmzB2fOnEEkEsFdd92F48eP4/jx488KbbOpBUrp0EIlwkQIXZqC9Ht78fPKZDKsMFmtVtndF4DKBIrbyBUAJiYmKrooyClA9vl8mJycBBqvRjBphr2+8KJficW71FqUnqp8HenMmTMFF1ebzbam5pC1FqhKohmlFvhEIsFmB9bKLJHNZtetw77cz7OSWVAA8Bd/8Rf42te+hkgkAiD/e7Tb7ezr7+vrw8LCguz9Xrp0CTfeeCNuv/12RKNR3H777Xj22Wdx/PhxUBRlZBimKFrY1AJVDn4EVYkwNY2PInRpqvwTJZBOp/Hmm2+isbERu3fvli1MBL1ej1RKxpQ/FK5xtba2YmJiAhcuXFDFrl4ugiJdJwwGA+KNV8vavy/VCDpXeKEUi6JWEo2gJIqRJ2pBZ0Nc8N9IFBVIrqb8Es3vxM6eFXbY3sLCAuLxOM6fPw+bzVbgxKpGmkqJQL2y/xoAwMHzz6/J8cpRzgLvcrng9/vh9XrXzALPj9rY6IlhkGhZ29E45YjH47Kt6YSnn34aHR0dOHDgADs9Vy08Hg/q6+vh9XrR0dGBrq4u9tomJE7A21ygSARViTAREn98B3Ap32NLaZovEAiwRa69vb0YGlKWtybIMUmQVOLU1BSampoKGrmqYXAotY9oNIqpqSlks1ls3boVjY2N+PUl8X15olY0W6QJL1l/Wkv4w/bOnj2LXbt2sfZh/kBD7sV1rVNXlbKW60HE4ba8vIyOjg7Y7XZVu8CXoly0RtJ7sc5R9v/XAxKtK/1MXnjhBTz11FN45plnkEwmEQ6HcccddyAYDLLpxvn5efT2Sm/STDh27Bief/553HXXXbDZbHjyySdRV1eHq666CkNDQ20AfAwv3bCpBUqKyJBpukqFiWAwGJBWtGW+NcnU1BQMBgO2b9+OQCCgyo9eqknC5/NhamoKFotFcI2rWgKVTCYxNTWFWCyGsbGxgkadXITSfFJZiZrQ1iDtk/FG6tBhKxY+bhTFN0j4E/Xgf2WE1qJMJhNaWloKXiM/lTU3N8cWa3JThHJ659XqGpSa8OdBye0Cz41ipVrgucf0Li9DLIFGxCnePgSrZ6qi9adKBkEq3e6+++7DfffdBwA4ffo0/v7v/x4//vGP8aEPfQhPPvkkjh8/rngW1HXXXYerr74akUgE58+fx0033QSXy4V7770XAP47gK8BKOg/tqkFSgxSXOr1emGz2XDo0KGKf2QGg4FN80ldhwqFQpiamgJFUdi2bRu7gBwOhytuZAuUX4MKBoOYnJyE0WjErl27RNMCatjVuQKVTqfhcDgQCARKFveWIhCvK4qi/DETWqzlxWglakI7T4h80WLLrD++Gs2USvXxCcelrYuIpbKIcSAajWJmZgbxeP643GhAzKa9HmtQay1QUtaexLrAcy3wXq8X8XhcUndyrlmhObYoeExu9GT1VJ7uV2KQKFc/qZT7778fx48fxz333IN9+/bhtttuk72Pz3/+8+ju7sa2bduwdetWHDlyhM3c/NM//VMYKO47tqkFiv/DSSaTcDqdCAQCGBoaQkdHB7xeryo/ML1ejxeH34Xtb61DlUrzhcNhTE1NgWEYjI6OFjV21Ov1SCaTgtvKPSchgSKNXAFg27ZtZXv1qWFXJyM/SH3G0NCQaMT6s1dMsFsKzSvloihvRN5cqeVIXZFI5fcjHEUBwvZyAAhEDWhuKDzfn19owA17orLOiSAWbQl10OZ3Kpd7I0HWn5TCt5mvBUrTisQCT2zwBNKdPBaLib63ZC2XGz0FLd2wvyVWsc5Rdn8keqoUJQIVDoeLulMo5dixYzh27BgAYHh4GGfOnKlof8PDw/jHf/xHHDx4EH/wB3+A3/3udzCZTGTa9C8BFA3o29QCReALE+l6EIlEVIlUAGkhdSQSYddaRkdHRau91eq0zheoWCyGyclJZDIZjI2NSa42rzTFl8vlWMPA0NCQ5FlUQniiq1Ge1ChKTpqvFJmsDkZ94fsQjIn/hCoRKT6k5kXMph2JRODz+RAOh5HNZpHJZAqEq1qTozeSQIlRaoghscDHYjEkeDeNdpFIihBvH4LZP49Eaz+UvPtKXIrBYLBmu0jcd999uOGGG3Dx4kUsLy9j7969sFqt+O1vfwsADwGYABDjbrOpBSqVSuHKlStFwkSoxnh1oTQfMQFkMhlJHb7ValFEUnOJRAJTU1OIx+OCjVzLoVSguFZ1k8mE0dFR9PVJczwF4wbBKEoOy5HShoNSURQAGHjXBn9Eh0678PsgFEVVGyGb9srKCoLBIDo6OthODk6nk+2KzZ8LVSnrkeJbC2MG/73lT9/mRk+k7gnIi5JaKJ0FVasCZbfbcf3112N0dBTPPvsskskktm/fjgceeAAPPPDAuNA2m1qgaJqG3W4X7ROnxtBCProtw2iiKIRen0T2R/8Lr191A5LJJEZGRiQLg1oCRdM0QqEQXn31VcVrPUrOh2EYeL1eTE9Po6WlBRMTE1hcXJR07J+9Iq99SiBeh0y2cL+loqgVgbUmofUnvjgRPEEDOu3CQhSIGqDXFdrXf36hAV2lXoDKkIhGKCLgT+FN3vq5gm1f2X8N9p45LeuiuFkFik/vWzdWlISaNiqXzQsVRSHR2o95phENy8uyLfBKU3y1OgtqaWkJTqcTwWAQNpsNP/zhD3HixAk8/vjjeM973sN2MOeyqQWqnG1X7WaqFEWBueYW4Kcn0TSez0n39PSgtbVV1o+Y9OJTCndgol6vx5EjRyq6iMiJoPx+PyYnJ2G1Wiu2qvOjqKWgEc0N0t4Xf6xYdITEaTlSB51ATZQ3oENHszq9Ay+n/wATiKiyLymIdZPnT+F9RWDbCxcuFLndyBBEof1uhhSfXIKWblnPt1qtiizwmymCWl5exqFDh3Do0CHs2rULXV1d+NjHPga9Xo+BgQEIiROwyQWq3EW5Gl2fL168iJ2cu6zWS78C9Y4Py9qPUC8+KXAbuZJJvi+//HLFr1OKuHCLbIUcgWo1iw1E9ZJEKpur3l19qSjKHwZa1nGWoRwXX8/+LiyeXyp47MCBA6zbjURbHo8HiUSCvbBybdrrYTMH1naK7xV3BnbelZKk93zWLWhJlO6q0NHRocgCT9O07DWoWhWoXC6Hbdu2IRgM4vXXXwdFUTh48CCGh4dht9tBUVQdwzBF+fZNLVBrRTKZhMPhQCwWQ29vL3RbhpGbcwIMg9ysA3KbsciN7LLZLGZnZ7G4uIj+/v6KTAhi5yMmLsR4QdM0xsbGRNMLUjpJPHy6Dk0N8tsC+cM6tDQW7jsQptDcKG1fy0Ed2gXWlkpFUaXMEVyRCkXzF9IfvWDDx/5b9aMoNQSD63bjds/mXlhJc9dUKsVeRGthmKHa5MUpqOo+pVrgg8Eg9Ho9QqFQgXCV6iIeDAbR3S0vwlsL2tvb8eijj2JmZgavvfYaLly4gB//+Meoq6sjqej3A3j8bTXyXeqPROmPmtRTBQIBDA8Pg6ZpNDU15SOmH98re38EqQLFHe/e09OjuJFrOYRs5twiWynGC6URFEnzLQWFfVCegPTX6wvlP+PWJqboMS7+8Kq4E5HyRwoFP5UB6mRas9ZCpKR+lxc/fZPsfQtdWN1uN2KxmGgaixQbSxkdX+sEaTua9fkZYT7rFgAoip5Ig1hSvW0c3CNp30IW+KmpKdjtdphMJnbulsvlEiwvIMXc4XCYHX1SS+h0OvT09KCnpwdHjx4FkF+KuHTpEp5//nkAsADA26qThBSIk0+ODVdsWF8gEFhNzXHeZ+a3P5WV5it3geGPdz98+HBVG1nqdDrWTMJ97SMjI9i5c6fkEeNSBCoUpYqiqGC88LUJpfmqFUWVwutn0NGy+tpD0dVjrXeqb61gGAb19fWCaSyh0fFCrZ1qNdq64i40UBFxWiuy2SxMJlNZC/zs7CwuXbqEkydPwmazwe/3sw2mu7u7Jb+/c3NzuPXWW+HxeEBRFD772c/ijjvugN/vxy233AKXy4XBwUE88cQTspvRnj59Gk8++STuvPNOUvcEk8mEvXv3Yu/evfizP/uzH1MU1QtgmWEY1uG06QVKakdzKQKVTqfhcrmwsrKCwcFBbN26VdS2zk3zqQXDMKwThjRyVTr0TQ5kTWx6ehpLS0uCr70c5QTq4dPq9aBbCZZOb/pCVEEURSiV6lOi//4woOedyvd+sl/JoAAAIABJREFUacXt74kJb6ACtdLqyGAwwG63F6yHMAzDtnYidXHcLuXcNNZ6R1t8ceJGT3x85j60JuZVPwexNSih8oLx8XHccMMN+OxnP4uBgQGcPn0a3/72t3HTTTfhU5/6lKTjGQwGfP3rX8f+/fsRiURw4MABXHfddXjkkUdw7bXX4sSJEzh58iROnjyJ+++/X9ZrGR8fx+7du/Gd73wHsVgMPT096OjogNVqJdfe/wGgCcAPAFwgqb5NL1DlkFILlclk4HK54PV6MTAwgCNHjgiu8XD3xU3zKVmH4sIwDJaXlzE9PY2mpqaSU3TFtld60crlcuxI7+HhYcXrW3JSfEJRFJ9AVI80r0KgVBQllMoTYjmoKxIVwXOM5M+PH0VxiURzsDcWf/LVFCkpn3Wp9J7/L/8ELV9/TPLxcrmcZDEhU3W5jXSB1S7l3GiLYRi2SznpAr8WN2NCBOlC00GWc1/vM6/W9fnNvWiNzSJo7YE97kbA2oMOKEeui6+urg7pdBof+chHFDWa7u7uZtevbDYbduzYgYWFBZw6dYrtbP7xj38cx44dky1QHR0d+NSnPoVXX30VFy9exBtvvIFz587B7XaT4vOzAJ4iKT7y56YXqHIRVKlaKJqmMTMzg6WlJWzZsqXsxZnvvqMGR8E48y2F5Kb5gPzFxu/3Y2pqClarVdawQgIRBrl3pAzDwO12w+l0wmazoaurC4ODg7L2waXc51AKrx8AGDQ2lBcZ7voRIRAu3k5MsELhLFrshe9VKJIXvdZm4c++lEgFw1lBkdosqGEzJ13KuWkjUmAeiUQKGukaDAakUim43e6qjS152WlCc335+kgGhZ95a2wWAGCPuwEAHRyDiRKU2swrmQVFcLlc+P3vf4/Dhw/D4/GwwtXV1QWPx1Nm62JIlioUCgEAbr31VvT29rLn+vjjj58S2m7TC1Q5hCIomqYxOzsLt9uNvr4+yVED+fEQqGwWDEUpSvPlcjmcPXsWdXV1JRu5loM48KQKFDdaa25uxsTEBGKxGNxut6LjE0pFUA/+wogG3suTEkWFIjk02Qo/F3+weoLgC+RERYq7/sSHiFQktvr6v/dLK67fdkn16EButCxkNZdDtWqSSANX/vc+Fovh9ddfRyaTKRpbQswYNptN8fv5srP0dt5MG1qNha4+Cozq0ROg7L2NRqNFzYflEo1G8cEPfhAPPPBAUZ9OiqIUZWOI0CaTSZw/fx5vvPEGjEYjGhsbMTo6iptuusnOMEyRXXLTC1S5N5MbQXHt2krGmxsMBvYHAxSn+XQSoqhwOIzJyUmk02mMj4+LjqCQCnHgSVlj4xbZcqO1ZDKpSrNYIYHKC7oR0VgODdbSP8ZwdDWKWvZXXlMVDGVhbyr+fP3B4iiqHD4/jdYW8Z8TV5wIz1wex3XDF9jmpEKtiOReDMpFNErce+WOt5ZrXgaDAXV1ddiyZQv7GBlbQqKt2dnZkk63cjTXF6dfpRgkgtYeAEDgrT/VQO57qyRbwiWTyeCDH/wgPvrRj+IDH/gAAKCzsxNutxvd3d1wu90FZhi5vPe978WxY8fw+uuv44033sCTTz6JL3/5ywCwD8D/oSiqoKPEpheochgMBqTTaczMzGB+fr4iu7ZQNMZN85WC9OujaRqjo6NwOp1sF4ZKkGJZJ6Ko0+mwc+fOojuwasyDomkaTqcTy8vLAN4puE0oSiGVlh9F8dNq/mD+9XPFKBjKsn8KiRR3/1x8gRwMBuGLBlekItHC7bJZBnp94XaJRBZPvb4LX7gxyTqzIpEI24ooHo8XFcc2NDRUzUAw/C756xZr3epIqIGq2NgSbmsnn88nOLbEZrOxN2/86CmQtLJi5c3krd8kelpJN6PVpG59VKUoTaFzt7/tttuwY8cOfOELX2Aff9/73odHH30UJ06cUDwLinuMhoYGHD58GIcPH8YnPvEJ/OAHP8BnPvMZ51v/XvDDeVsLVC6XQzAYZM0Pldq1BQUqmwWGxvJ/ChCPxzE9PY14PF4wtE/NhrFi+4nH42y0tnXrVtEiWzUFKpfLYW5uDvPz8+jv78e5wKo4yY2i+BAhEqOsGIVXt1cSRZUjHKHRaCv+fn3jVD2+cGOSdWZxR0GQ4lhSYxSNRgvs2twUIVnnW2sX31q2HZKT9uI73cj2QmNLmPbCsSNccRKCL0565H/3zFvvfaXrT0rEhtwsKP38X3jhBTz22GPYvXs39u7dCwC49957ceLECdx888146KGHMDAwgCeeeEL2vsn38stf/jI8Hg927tyJsbEx7N69G//2b/8GQLjh+6YXKKEPi1tH1NjYiK6uLtabXwmCAvWOD4N5YfUDTbzxIsw7jrLdJ0KhEEZHR9HW1lZkWa+WQCWTSUxPTyMSiWBsbKxska0aAwspikIikcCLL75YWLv1mvg2y34ajQ3FIsFP70mJokpRKtXHj3oAwO9Po6Vl9W47Gl39zH1+GiZT8QU0Fs9/BuVEio9Y1wFi1w4GgwWTeBmGYddh+CkttdN75FzWekBiJYIoNLbkPy5ZYceqKSKQLL3ey42eKKhXRsJFyeuMRCJlZ7uV4pprrhEVxueee07xfoHV6/C+fftw/vx5TE5O4sqVK/jlL39JImLBHOqmFyguuVwObrcbLpcLHR0dOHToEOLxOObm5lTZfynLOqPXg8pmUb/swptUM/x+P4aHh7Fjxw7BH7jSfnxC+yHikslk4HA44PP5MDw8jPHxcclFtpWIpc/nw+XLl5FOp3H06FHWIn/yX3Sw8iY+8KOocDRbJFLRKI2GhsKvLj8VB+RFiq+rJLVX9NxQtmh0uxDhcP5CxhcpLul0TlCk2H2IiJRUxOza6XQa09PTyGQy7CRe8lybzQaxM+rZ34X6plV3qByr+Vo3bl2PRrGZ3Or3byVduUNOCkodfLXayZzw/ve/H+9///sBANPT05ifn8fRo0dhMplWhJ6/6QWKpD2IMPELXNUcuSEmULr/djNynChqgAlg29GjJcVBrRQf6QLhcDjgdrsxMDCAsbExWT9ypSm+cDiMK1euwGAwYOfOnbh8+XJR/VYsnoXVUnkqLRjMwFbBRT8UTMPeXCg4RIyam4WFSEykIpH8dq2t4rVqiUTxZ/t3PzXgng8rvykxmUxsuxwiXGRabCQSQef+MXjOl18PlcNGi6D4/Mcl6e5Yhil8nb60HW2m1Rt/kt4zGY2KBIbLZhUoEqFRFIWRkZGymatNL1CxWAyvvPIKWlpaBAtc1RxaqNPpikLkbDaLmZkZDPKeW+5HrYZA5XI5RCIRLCwsYHBwULH5Q65AxeNxTE1NIZVKsWtb2WxW8j6isRwSqdXncqMonz9/8ReKooQIh9NobCwUkVAwjSZ7sbAEA8UiBQCBQFpUpLjpPTkEgynY7avfxXg8v59KRQoo/G6RabHWH90nax+RSERSjdF6RFBqmUSIONnN+e9UIG5Es+Wtll50/jV5oja0WOJF2/rSq8W7ZP2JINShnKwVSm2kq0SganmaLkHuzcymFyiz2Vwwl4iPwWBQfWghANYMMDc3x06R5ab5sONoye0rEU5uxGgymTA0NISBgQFF+wKkf6lIiikYDLJrW2Rbvsid/JfVi5paUVQkQhdEUcGg+Jh3MZESIxBIC65HBQIpNDcLR0o+XwqtrXXs+hMfvkgRKhEpJRFN18GtCE4Wprm5NUYkRSg0Pn6tI6hsNquKIEqJnDxRW8l/bzMF4MvY0WFczU4FaTu2bcsbJPhjS5aWlgTHlgg5M5WMe98IEZRcNr1A6fX6knZtte/+GIbB/Pw8ZmZm0NXVhSNHjuTvhAYHC9J8xCxR6ry5Rb9Sj72yssJ2QT548CC8Xq+qQxmF4Hbc4DbP5cL/ezxOw2IR//rFojSsnAgpHC1+DSSKCgZXbzD4IgUURlEhAdHiPkaiKJLek0I5kao3i7/OYDAFk6n4QnTPD4G/k9ZCrYBKrcaE8fH8BG6u6407Pp5EBolEAqlUSlHNlhLUiNj+5awNjdbVm6VAPC+4JHriQqKn5ZgVbbxIypfJRyuBrPC6VKmxJUS0SDf4bDbLtnZqaGgoGGMilXA4XPMRlFw2vUCtFaSRaywWQywWw6FDh4qKY+MdI7B4p0Ut51wMBgNbtyGFQCCAyclJmM3mgiJbvV5flQgRyF8sFhYWMDs7i97eXskdN/7no/mLA1ekuFHUik848vH7krDZCqMepSk2oHSqTycQLYWCSTTZhW92iEiR9aeCf1uJo7lt1Q0Sixa+vnQ6q6pI8YUi+93/Ln8nj/wN8In/WeB6I+1uuJGB1+vF7OwspqamoNfrCyKtajR9rVSg/uVs6ahIDL44ibG1u3xBvFgj3UQigWg0ikgkgpWVFWQyGQQCAcmNdIPBYEGJwmZg0wtUtWdCcVsD2e122Gw2jIyMCOaPKd5U41JRlFQXXyQSwZUrV6DT6TA+Pl5UrKj2WHsg/5q9Xi+mp6fR3t4uKMZqwI+ipBKJ0MhmC9/rcDgNoaHSQhFV/nFhMeI+HosVilEgkILBUHjxTMTy++eLFJdkgkYyQaOxqTgKu+eH+T+lCpXc73HXwa2Sn0vgRgaLi4vYsWMHTCaTaNNX0oaIXGQraeuUy+UUmw+ExEko4CTrT0A+cgKKBYqi8hsader8tiiKgsVigcViQUdHBwwGA0wmE1pbW0s20iWiVVdXh3A4rEq5TC2x6QUKKN+oVElDVYZh4PP5MD09XdAa6Ny5c6ILnNatE4hSOljdV1C/7EKyfVB0/+WEhWtEGBsbEw3tK7WI8yHtkBoaGkqu7YlBoicCP4ry+5IwW4rFzu/L1whFIumCKCoQSMJmk9bZPRJJFT1X7DE+Uc5jpSKpUgRW4jDVi//kwqEUGpvqkEwU35jc9Z0M/v5Py98ElBMoMSeffay/aB1KCtxOEmJNX0nNFrcwltvWyWazwWw2SxLWbDYrq5M/4YenG2B7a9mJpPcCER3sDYXfx6WQCS1WdUxTlUDWoEo10iVjS86cOYMvfelL0Ov1uHz5MmKxGPbs2YPx8XFF7xUAPPvss7jjjjuQzWbx6U9/GidOnFDrpcnibSFQ5SBWc6kCFQgEMDU1BZPJVNTIVUrkE+8ahS5b+jliApVKpTA9PY1wOMxOsl0Lu3o2m8W5c+dE2yFJJR7PwCIgQFwS8QwrUlKiKL7IhAIJAEBDo3LhAkoLUSiYhMFY+H2JvSViTc3iHefDgQQaS/17qHhNKpnIR2pSRYqLkvRey+4xyc8t1+qI24aoq6sLwOrAPSVtnZSk+H54uvC7GogUb5/KUFgKFUZ2WZ6tfDlmRbtVvLtEvsBX3Jgjh1IuPm4j3c7OToyMjOD666/HZz7zGRw7dgzBYBDf/va3cd111+EjH/mI7GNns1n86Z/+KX71q1+hr68PExMTeN/73seuS64lbwuBkjq0sBzcnnXbt28vqEbn7quUIATM3WiJr46Jds/NoLu/2GHH308mk4HT6cTKykrJAl8+lQpUIpFgI7WdO3dW1Lz2ZxcOACgWKRJFkSiJTyxKIxHLwGzNb0OiqEBg9flCIhMNp1iRCodSRc/jRkqlRErIvZeIpWGzCwtNKJCQLFJC0VI0nERDo7AwlhMpOSk+Jek9oePJFQzuwD25bZ0ymYysFCYRJ5tVuYGDYSg21QcAK3EL2q0x+OMWdDZE2McPD6kjToAym3k8Hse73/1ujI6OVnTsM2fOYHR0FMPDwwCA48eP49SpU5pArRflinWj0SgmJyeRzWYxNjZW0spZTuz6+3oQnXQjpzdAl6Vhjy4CKBYoEolxO6xv2bJFdFiiGEoFihT3+v1+jIyMIB6PCwqyWpA6IAI3igr6E0XPj0TSSMTSMFtLr2dwRWp1W2ExEkrt5fchLBiRYKKkSAkZHwhikVQ6mSl5TAC44xsJfOsLwsetlYm6SijX1ikQCGBlZQV+vx/19fXsuhZJEfJ/F/zIiQ8/vQeATe95w0a02nhty95adyJRFFec1IyeAOWFumq4+BYWFtDf38/+va+vDy+//HLF+1WCJlAQFxWyzpNMJjE6OiopepASjfHNEkJRlE6nQzwex0svvVRRh3W5ffS4gjgwMMCOdp+dna2oH99d3yu8+POjKP9KHJYyYlMQRYWSbz22KlKRSAqxtx7nCheJnriIiZEYXMEgxgdgVaRiAvuLhBKwcVoIkVQde16BBEz14tFQNJxEKpmB1bYqVJlU/rt1xzfyoi0kVEQwKk7vveXkK0W1BZHf1ommafT29qKuro5NEZJO5dy2Tj+7sLVoxlggLNxo2BvQFcwe84bFPxN+9FSub59SlNRBhcNhrQ5qI1LuB8QXFW4z1ZGRkaJGrnL2JYR16wSik+cE/43Y1R0OB7LZLK6++uqKHHJSTRIMw2BhYQEzMzOCglhpw9h0Mv+ecE0CRam+WLpApBLxDFJJXmTFESmpxCNJWGz1kh4DUPB4IlZeyCLBBHS8OfGpRF7E+CJV8JxkBqlkBja7sLuPEIskC0SKkE7TuP1kBN87sRrZclPZ9aMjSE5NC+5TKL1nH+sXeGZtQQp1icON2+iYtHV65L+6irYLhIVT/GLiRKKnlbABrbbC348/nv+8uOKkZnoPUBZBVeJw5NLb21vQn3R+fh69vb0V71cJbwuBKgdJ8aXT6YK0ltRmqlzkdIDgpvncc4Ch3oKpqSk0NTXh4MGDOHfuXMX27XIpPmKTn5qaQmtrq6hlvBI34J9/U3xhGchHT2IkE2nUm8tFVvkoikRP3McIUkWq1OPRcH7/ej3fSp4XMWujsBBFQgkY/3/23jxMjrre/313bb3OmpksJIFMMjPZSEjIBAIel/sckfNDRDkg4nJ4zuHicn6iAqLgBRFxiYDLPcjidgQ9glHxIshPluMCR1kSAwlCSDKTzEyWSTJ771173T+qv9Xf+lZVbzMTIpP38+TJdHV3dXV39fdVn10qM8wwmUdDc8xx7/kpl5EhBezj379hu5ruu7GhKotm3pnVJ0GcaCqXJMHzvAMnuuGwHnDajkxWdpUTOBH3Hl/8XxKmPjCznGqN7U1XgTYAbNy4EX19fRgYGMDChQuxZcsWPPTQQ9O2/1o0KwBV6QcbCoVw9OhRHDp0CB0dHVi+fHndbgt27HuQxqOL0JY/6Np29OhRnHHGGYjFyl9R16JyffSSySR6e3sRjUaxfv16p7i31v3UIlXWPVYULdqKSk36g2v0aBqRmBtatNuN3kbXQxHwEEuJ3sYqn5Eh5+3vMZoo3a/kFcQa/D+nXLoQCKlsKo9EU/D3mknmEWbcfQoFLE3RoCn27XhDFKrqvggyNB0f+8ok/v3CAjRNg/j0jwJfK0jhZZ3Qhg7X9JzjGe8CggH1jV9Jvp1JUmkD8bjXVab6XAvoRum9jKXtfbHW04kqcmEyHd+HIAi4++67cf7558MwDFx55ZVYvXr1NBxlHcfyhrzqCSJd13Hw4EEcOnQIsVis6k4I5VRtge1pi+bhwGGgLX/QSTlvb2maVjgB/gsISfowTRMrV66sKvmhXhffxzcnPQsvrfRE3hOHYV19flaUnFddkMqlbJhF4xHmcQoiMaopa0ZGISe7Hke2+T0fAApZ2QWpfKZQFlJs+jkRDSnFx1rKJG1Ls6G5fFwjlylADPt/pvc9vgQAcP/Zwc+PLO+G0jc9Xc2n88q9GvkB6hu/8lrY9PBJIhJ/Gh030MTMChubBJqLo5TYtzSe4dHWGPybnm73Xj3K5XJ1l3746YILLsAFF1wwbfurV8d3sMobJHaRNk0Tg4OD2Lp1KziOw5o1azzD3epVNYMG8/k8/va3v1W1v+lcAGRZxq5du7Br1y6cdtpp2LBhQ9WZefW4+D6+2R7qxi7GKhNX8nNtsdaTXIzpZNPejL4g5TL2Y4klBMABEfmfVeD2rAyF2k8+U0A+U8DEsHfsd545RhKPAmxIZVNey1CVS4+ZGE76AoyWnJUhZ/2P9f6zf132ubVIfPZn07av6RANqFt+EvKFEy3Wehodd5/DmmZhzHdUnlfjGft6nnXvpdPpaS2Gr+c3n0wmpzSs8ETVrLKg6N5x8+fPd6a6ZrPZaRu5US4GpSgK+vv7kUwmnSm6B4cADgYEy7sgkfjRVAOflmWht7cXY2NjdcfWanXxZTIZ121F1jyWVHqitFCrsuaypNjbfiJWVI5a8FnrqPRYtyVFP5aFUiEn+34+rCVV2l5ANGFbVGoRRvl0AbEAd58qq1BlFfGmYEspl8o59xPXHpGhlRZDOSsj4nNMtSq8rL7amTfKxXfLT/xfN51WEQ9IoiFwYq2ncqKtp7mN3t9osiBOe1unNzLF/ETTrACUZVk4cuQIBgcH0dbW5kkEmOmhhZqmYXBwEKOjo4Hdvol2H0xj5amNrn3VCyjTNHHw4EHkcrm6aqhoVQsoWZaxb98+fPvh+RDDwcfNWlG0ckULhIXU+LEkwgxk5Lxf7EmGaXqvQoOsIz8pecX1WsR6oiHlssyyBWiKhkiMcgWmC3jfpR0AAJ4DND2E//PbA6X3WYRQaizlAI6GUS5lu/ykSIVar8ksAPjCk83kiywvX5wrLlzkxKHEDrtQc2xsDIlEAuFw2HPeHm8X329fPwu/fd3+m84A1XUT6XSwq218XC07P6y50X5f40kLrU3MYMKi5TS3UcNETsD8JhXJgv3a56/KAVgJoHJbJwKuSm2d6p0F9WZLMQdmCaAURUE6nfYdWAhM79BCel/VFNmOq82YIyWhhwDB0tAcmgRgA6reIlsyD2pgYADz589HPB7HokWLpnS1WykGpes6BgYGMDo66jSs1BTdBSnaikpP2IsqvfiqsgZN9f8eiJXEgiOfsbeHmUVclVXPwk6sG4mKZ6XG0p5t5HHsaxGlJ9JobLW/o0s+0AkuBNBfK8/Ri7bl2n7JJe5UbsMMAVhQ/Bv49S/2ue7XNR26piPWUDk2WcjK2PKP/6fi4wAg3NVVdRwqlUphaGgIiqJAFEWXhXC8AHXj9+3fQblehkEKgpOmlY59PGn/zcKJ1kTO3sdkXoTfT6matk7Dw8MVZ0LVOwvqpAX1d6poNIoVK1YE3j/VGh9aZAAimQlVqcj2zKVhHGASp4gVVSugSAPbvr4+NDc3O6Ptx8bGpuwqDIpBmaaJw4cP4+DBgw6Er7ptwrmfhRRQgpOf1ILqhoWPq88PHIqsOpAilg0NKTp+xL5G0DYAyEykIUVKr/XPH+iGwJcWtmAweeW3qJHnmFYIXAh4/+W2q80GF/DLB3cDoEHsft+6Vv2FVZD1VMm9R3fIJottJpPB6OgoCoUCtm/f7urqMF1jNq69y/7OwgGWeDpd+k6JNUW792TZgCx7z9nxCfsza2yofIzkOyPfeVisDcj1tHUiF7mKolTd7PUkoP6Odbz85JZlYXh4GLlcDvl8fspjKKpJuCBKpVLo7e1FOBz2pKpPR4o4uw+6fqqtrc0ZzHjFTccgiMGnlTdhogQRYiWxsEiOpDxZa0pe8Xw2NKT89k8rO5lxgYe8riorznZVthfACy/pBilBIgsV6ynlQpaT/VXt6UYbH1zIAjj6ifadH/yXFTDMEDQdeOQXu5HP2G6/WMPMdDAgIu49wE6U0N7+EQBwFcgahoGdO3fijDPOcBbboHhMQ0ND1b8FAiYgGE66XjoXKzUfdj/PCxhmMgsmUl43Hy3y/druvfpUrq0TAdbu3buhqiokSfJ0fmc9MW/GYYXALAHU8RCZZNvY2IhYLIbu7uobcdop58MuN9/ug1V2Rs/n0dvbC13XsXz5ct9MnunoaM7zPFTVdn2lUins3bsX0WjUNXLjipuOAbCv6mlI0VZUdtL+UdNWVRBEaGmK5oKUnJeL+3EvTpnJrGdbNpmB6BOspmFEbpP/L/3IGgCAULzIDrKauJB7wasGTkFeMbLd735RAC75oB3r0A3g/3vwVdd3Go3H8OC/vA4cqfz6lSQuXFTV40jCgt9iS+IxmUwG4+PjGBwcdE3iJeCKRCL4xNfTrkLmoNilqhpQVfs9R8pAaWKi2BGk+Bji3ktOqkg0uJ83mdTR2Fh6vYmU5fp7TvPxSwIhrZpIcsWpp54KwA5RkJlQbFsnSZKwf/9+jI2NOY+fij73uc/ht7/9LSRJwrJly3D//fc74Nu8eTP+8z//EzzP46677sL5558/5derpFkDqEodzUOhUF2t/JPJJPr6+hAOh7F27VrEYjE8//zzNR/fmNqCudKYa1s5sNBjN7q6ulwtX1hNB6A4joMsy9i5cyd0Xa9YP+UHKdrNxrr+kqMpiBKVxVe0ovLpPPUczQMfehuJHfk+rghXFlQspN5z2RqIYglMgA0d4nLjOQvEkOQ42zXnUvEUC3L3+Z2CZN/06wU9luifP2wD9Fc/3QkAKOSCu3FEOpcBPi63cFcX4JNM4qcPXe/2Qz/0zUVlu1bQ8Rgiy7Jw1Zdt9699bqiotsFqNi1XzOoEvHAiSk66X8cwLEwmgy/+aDj5uffSuZmr0GFjUMRF6NfW6cCBA9iyZQt27NiBhx9+GL/61a+wbt06XHTRRVi7dm3Nr33eeedh8+bNEAQBN9xwAzZv3ozbb78dr7/+OrZs2YJdu3bhyJEjeOc734ne3t5pn5jMatYAqpKI37fatFC62NVv9EatTTQ3LJXwcv8ctEvjTsq5KrYjrKddj9N1HYODgxgeHq567MZUAaWqKo4cOYJUKoU1a9b4jpX+8OftESJ8QJFqOeWL9UqaqrkglRpLeoCiKZrnvfgBKZfKIt6UcKwi8jhN0Vzg1DUd73rf6QhLIRAPFM+V3D40qGjoVLqOYaHDc1ZVcCpt924jx0WOSTeA91+xDroO/Evjb8ofUA3SFy6FMBrcUYLjOHzk88RUm4vQz48694UoNyW7eHGC/4dGW0+aWrpw0RTdaY5Li7aeVFlHLCYiOVEI7GxP4MRaTwAc62kyqaGbO8+0AAAgAElEQVSl2Xt/Mm2hrTQrEJk8h8a4ifdvzHgeO10ilmY58TyPxsZGrFmzBj/+8Y9x9dVX4xOf+ATa2trwyiuvVNXNxk/vete7nL83bdqEhx9+GADw6KOP4vLLL0c4HEZHRwc6Ozuxbds2nHOO/0Tw6dKsAVQlC4qkmlcCFJmPVCgU0NXV5Zp0SURgV2v8yUIIk3oLRK4UpyGLMZ2MsHjx4pq6XtQLKDoLcc6cOYjFYmXhxIq2okjKdJDrz9nGQEpTVReklKJrT/ABEguzXMpOxmDhRY7r7ResRmPC/gwFwbZYvJaT/bcNB68VxSroK6Hb6PCcVROYSB84ywo5r0sMn6kkn2oLOyEemlpHiWovwoLg5CfSiooGVznryW8cC5GueT/QyUkZjdQIlnJwAoBUNgRJBApKCDw3s9YTUH8dVGtrK7q6utDVNT29Fn/84x/jAx/4AAB7BMemTZuc+xYtWoShIf/f/XRq1gCqkiqlmquqiv3797uKbIN+nPUCyraiFACiA6khZTHCxe7m7e3tTjJCLaq1CwSdpr5gwQJs2rQJ6XQaR48e9Tz28s/a/QSdFFnNcFlRuuZ27bGuv/REGgLzOWWSaTfIGEgBgK5oDqSIlUTceBbjtmILXQHgXe87HaIYgmkBhIc0kNyWE/13eZcYCy6O87rqVJ2GFfWeihALhbyvoenkPnt/xFARBOCDsfLWk7a4G+IR/67mrPSFS323P3TVAD70ow6osoJIzL8AOcRVByvaii1kC9BEOv5U/W8mPZH39GS0968jVbS84gl3IowfnPxEvhdRPL6FyADqyrhNpVK+F8t+euc734ljx455tn/ta1/De9/7XudvQRDw4Q9/uKbjmG7NGkDVOnKDiNT3jIyMVCyyrbSvamTBve+WSBYTExOBNVzVqJY0epKm3tTU5KSpA/6ZgAROrGhI+VlOBFIkbqJrmgdSnhiWqsLU3a9fSNv75qkrbaNYR8VRhDGpdtYXfnADTKu08PAcYBj2Qk9Eu9B4zt0N26JiTnTiRJDo59KuQ+d4Te9+yd+hkOWAiRaBFMAk/s2QtHn2rDJyISDnC8XXdlsSkUQJXJqiQUNp8eep74PjORSy9j6EADjR1pOdREMuRjSnNRYNp0qDKzXdwOSk+yLNYC5kgiwp5z0U3+5MuvcAe82pZxZUtVl8v//978ve/8ADD+Dxxx/HH/7wB2ete6NGcMwaQFUS203CMAwcOnTImS5Zi0ttKoAay8WKEztLVlRSWIFwuH63QjUuvmw2i7179zq9CeNxdxozC6jLrhl0zUBiA7t+lhS9GLFWEoEUWfzY56iFkhUmiCI0pRT0NlQdvCQ4cALcUAKA8y4507GYRAEwTQuiUAyCCyVXmSCUoMJM1fDcpt12tAi42PwDGjYcZYmZlLuPXPvYxxBMH1L+ZFkAKIPGOKUD/JGB0uMW+2eTagvL1z7p7YvKxqFYhbiQ434FAI6eJSZMPZCeTVbuqkFaZxFYsdYTrVRKQaKhtC/akkqndbQ0U+7FqU28qVn1uPgMw5jyaB4AePLJJ3HHHXfg2WefdZWqXHTRRfjQhz6E6667DkeOHEFfXx/OOuusKb9eJZ0EVFEEKqZp4siRIzhw4AAWLFjg9OurZ1+1qlAoYIHVBw3eouLne02c210fpMoBirQmyuVyWL58eeBVGG2FXXbNIADANMyykCLWE6uS5eSGVj6ddVk+ACBn867FDrCv4NkrTAIwFyQNA++46EyIImfDybAQDpdcZbpBIFECVZBYOJWTboQcOAVZWWZADMqy/ONQpX27b1ebHKGdsszXzact7nLiUH7uPWI9sWKtJ9d9Za7+6fOlXL0c3V+xXMsswJ1MwVpSqaR9wRNL2Nsty4aTn3gu5IKTn3svk5v5zhm1AsqyrGnr6HH11VdDURScd955AOxEie9973tYvXo1LrvsMqxatQqCIOCee+6Z8Qw+YBYBqhq33Pj4OA4ePFh2cF81qjUpgQxKnJycRGdnJ14+5raiWiJZTMr1t9Lned7Ta5BtTbR69eqynxGJY1366X7nNhAMKVJQSi9WLJD8tpm64UBKL1pJpmE4+yGdE8jny37W9N/nXdIDAJCKcOJ4u+CVviIWePs927CiM9BKMKBjU4DbreZnHNCWE7GyTNP7WHqf5COkAUR/HarG1F9x3nhXtapkPQXp4auP4D2323GOEMc5sahysSfWepKzJQs50VLKfCUNdAG4kmRoONHWk6bqTlusoIGWLJxoEespk1LQ0OTTzipjYE6rgFTaQPscHvmC/aVe+Y7gLijTpVpbHRE4TUdDgn379gXed9NNN+Gmm26a8mvUolkDqHIaHx9Hf38/eJ53FZ7Wq2otKMMwMDg4iGPHjrkGJZ7fruOpV+NY0JCBZpZcffVaUTzPQ5Zt9wvd0X3RokVVN5DlOA6bf+IfhGUhReBk32e4IJVLZSpaSaZuQFNU1+JmGgYM3UCIOVa9CF56O7GaLAsISyFouuW4SMnap+vEnWf/uAmoAN+SodLnwKwBbOtAX2AVQULgI/D+sSj2IpjcJu48uv4KAN63+CXAO+3DUZB7r1rp7f4Fu+SzdmJRHO2idH8/9HdNL7qcwLnOEzYGWU65VN63LZVe/IAzqQKicS902M+XhhNPvYd0xt5PKm0gHOaQzlrO97p3715XL8LpGNHjp1pgUygUpn2O3ImiWQMovy+ctAeSJAmdnZ2YnJycMpyAUj++INGQWLhwYWB8aziXwLy4+4rttgeBW2pMrCHWz8jIiNOaqBbX5SVXl1xD5GqZLWomkCKLDr0YEUgpxQWNxIc4wfsYAE58ydANB1JG8TlWcZUOcZzzN9m+7u1r0NQUhiDYcOI4uOCk6xa4kNedR8OJVa0XpXRrPDvW5X0MSSqkYcYmUxCRya/0cZhm5TqsWqQt7kLI9Fr8mabFSGTKt6bgylhP7IVIkGg4EeupkMtDEEXfmigaTqz1lEm5U85N00K22LMv3mDDyDItZILcfDw5P+hkGPv/K/4hiWx2HjKZDA4fPoxczj7X4/G4C1rTEQuqRW/WTubALAIULbrIlrQHIs0vp0OCIKBQ8NZmWJaFkZER7N+/33fsB63z1+h46lUB4wX7yijM2wtIz+kCbntQrwlSsizjyJEjUBSlZgvxnz/Z57oqtkwrEFL0FTHrpihksi4rSVNUQIHHStJV3eUyMnTDSRunt9NJECEuhLPftQ6ixEOSOOi6CUmyj4vnQ07/NcknpqBq7pERHBdyrJtyGXJhyZsEwV6hU3kcIF5M2nJi40lE5DGGK3vQDamLFr4UeGzGKR0wee95pZ2yrHbiMmItWNd9ZeJSrPXEilhjOnNhR4q4xTKZCmQwZbgIKz/ryfd4uRCyGftLavJx87GJSYIgoLm52RWnNU3T6UM4OjqKgYEB6LqOaDTqaunkN6pkuvRmbRQLzCJAhUIhFAoF7N+/H7lcDl1dXWhtbXXun6mRG0STk5Po7e1FPB6vCRK6yUHgSqtac1QFwOHGH9o/5G98NPiHm8/n0dfXh0KhgKamJqxZs6bq9/DPnywVcFqWGbj4EEgVsnZQ2wWXIqQcy6m44hrUykxbSXrRX0YDia5pYuubAGDd29dAlHj7nxBy4ERcd+SKWBJDUIvjFQQh5FgmdEisnDXASmE69FQyRollxa7v9GlC74McH21N1dqMtlqlmk5F8+RAxcdlGhfhwa8Al99Y6m5CM5Y+R0JcCNCC0sxpWPFOXJGORfpZVYA7xmjohgdORLlisS+BFbkIyaZlT3Yf+Tz9rCeibM4/4MdxHBoaGlydZCzLQqFQQDabDRxV0tDQgFgs5jvtu1aQpdPpkxbU37sURcHOnTuxbNkytLe3e06CmRpamM1m0dvbi1AohNWrV7t6k1USsaLAAYrBu6yo7a8B+byG675bwLc/5S6cpJMuurq6EA6HMTBQeQEC3GCiRUOKtqJkB0yl++zb9v0EXGTxJxBirSTTMDwQNKnFKBTiYFnuReKc/7UBhmFBKsKJuPMInMISB02zIDJwIiqTRFZzfZFKnTqS6O/a0w04K7qfQUDiYvS+DNObQfi+xcHWEwAk5yxDY9Jbo5ZqPg1NKf/aNVaZpsWVH0TJAydKQXCqRmpBcV3QiGHRqaHySzk3TcsDJyIaTrmsgkRj6SIxnVbQ0hJBNqOhuaW0X1m2v8hPvzu41yGrUCiEWCyGWCyGuXPnlt4LNapkbGwM+XzeNReKdHw/OaywpFkDqHA4jE2bNgVenUxHQ1UiQRCgKApee+015PP5wJZI1Wg8w6O9yXJZUYANqf/ZpkGKCLjuuwUoio7vXhfHgQMHcOTIESxZssRJusjn8xULdUmcyYGQ5X08CymFqlmyTNPl/lFyBddt07RcbjkCMvp1/F7T774z3r4W4bAAVTUQjYrQNRMcFUfSNQtSEU5BUhQTJlXHZD+/OEojAE5hyf8O1rBT1NIGUmvFuvMIhNjXItliNEjpdkv0vgEg27wYieQhzJSyDad44lBsjRlfJuZSrgaKjlEJouCUCgiiCFUvlg0EFPJKEQlycUKyFJFQyNp/kzlhclb2WE/5jA0oGk70cpDN2F9KNqsjEuGh6wYUxUAsNj3LJD2qhIieCzU0NIRMJgNZlrFr166qR5WcdPG9CRQKhcqaztPlHybj3ScnJ7F27Vpfa60WLcGfkDHfBh32Yh/mDTRHVSQLEmIxEfm8/aMKhwV86ts5qHITgCb88OaS+zKo1RFJGfdznQWJQEr2cekRSKkF2XUbAAzKOiWQc1lIxf2wx0Lvn+N5nH7uKoTDAgzDdOAkReyFjudCDpyIRDEERbVXeIEPwShaV6LAwqmyWDiEpVDFZuCa7p8CTM8lIrExlQKqrlseV1NetvDh7perOtZ086m+VhSrVJN3RIOf9ZRpDM7oY79Hy0nP5xyLmdxHrCFe4F3PY6EXJFIMbAYUi8kUqEhPv2jC/jvWEEEu658cIRZhKYilc4e4/GqxnmoVO6oknU47zQGqGVUSCoVOAurNokoNY6ciurEqOblo875ehUIhnLdaxR92e6+gOjvC+Nsu24pS5WKGU0SEKmv46FcnoGv2j97uRbcAxhb7SpttGcTGeuzX9brUAEDJya7btLvPvr/guk1qmVwgs0zP65UDEy+K6FzXiXBEgCjxMAwTosA7cNI1E+EwU7irmhDEkAMVOlNP9IkxENXi2lNUywWosOR/ftne3iIYxRDYoXlqgKVHQ4qFY5CSc5b5bk812wW3qaZTfd18yZaOwDhUtuEU1+1ffrMFl10/6UmYoL8z1l1brlaKdvvRsSdeFJz2SoIoQMnb57MYLrngJGeKsuyZNgwUhwBmSudsIavYoMrY+000ep8TKV7w5PPTE5OuRaQPn9+oElmWkc1mnSm8IyMj+OpXv4qWlhYsX74cr732GlasWDGlydkA8K1vfQvXX389RkdH0dbWBsuy8JnPfAa/+93vEIvF8MADD+DMM8+c6lutSrMKUNWo1jEZlmXhyJEjGBwcdBqrchyHw4erbxNTTmSq7mgqCoG3OxNERBsczXHDY0Upiu5AKkicwMHUTZdbsxKk5Gw+MFHCMi2osuxy/wFuC6kWKy3EhRAKceAEHnNPnY+GljgE0U6EsLtBCNB0A+Gw4IKTppkQRQ6qWn0Fa7XWk5/8XHt27VVpG5t3o2kWdN3ydCmga6Rc23ULmmYXGV9w+lC145Oqkp/15CfL53sn7rmgJBYL/lYV4LasOIGHadp/8zzvbmFVweWuFhRf13U4FkYhZ7ufIzHblRdriKDAWE8kLupnPSmK/drvWbUDprlyxuqdWAV1kQiFQohGo4hGo2hvb3e2r1q1CrfddhtkWcbmzZuxZ88efPzjH8fHPvaxul7/0KFDePrpp13DD5944gn09fWhr68PW7duxb//+79j69atde2/Vs0qQFWyoGrpQm5ZljNFt7W11dVYdTpFpup+6FwFv9xa9K9rnAOpzo4wtm0vIBK1rSgCKQAQRB66ZkAMi9AUzTfOVin2puRkB1JB2XxqsQiYvt/l0nMSKLyLCX0VTq6khWKj0IVdiyFFRIiSAKkIJ7sbhOGMAtc0o7TQUAuMQAHANCyopCBX4FzWCN05nK8Aq6AYFBE5tegMP0//vqL1RJI3AHd8igUViaOZRvB5S+JQlaynSkq2dIA3vVZDkm9Ds+Eepjln4TxMHhsDePeFCC3WugbcllW5Oik2PkXv04lVUTEpYj3JeRlm8XwlcALgwCnWEEEhR+qiIhgfzqChyU4yamqJwjBMAKXXbmpqgmEYpQu5YqggFArNCLRqbXN0yimnQBRFXHXVVc5spql4ia699lrccccdTldzwJ4FdcUVVyAUCmHTpk1IJpM4evQoFixYUPfrVKtZBahKqhZQyWQSvb29iEajWLduHaJR//ED0yECEF3XoRthACFXf7fmuIGzeprxl7/YNVyRqH3sxIoKghSxoujXoK0oEmMC3JYU+Z8sNARORIZPJmQtYAqFOLSe0gYpIkEQePA8B9MwoWuAFKG6mxfdl2GmTxu58jVMKg4V4NKrNTRIg800LVedjO8wQsNyapkkH9cegY+f+ytfMF3HfeEZ5Qtms821Zd1Vaz35Kcm34WvXAF+/P47MRAaFbB6GprniTZZl+r4v+vxha9n04nnCCzyM4hwnjrGq/DpOhCNhyMXYFNthQs7LiMZLv08aToWc4sBJDAsYH82huTUKRTGQz2u48f05NDScBtM0YVmW63/AhgnxtnAc5/q7XtXTKJbtZF5vzPvRRx/FwoULccYZZ7i2k5gYEZkFdRJQx1kk1TwIOLlcDr29vTBNs+LI8+kSx3E4cuQIRkdH8ZZFi/DcUDeAEGSUrCgALreenFcRiUmQ8woiMa+P3Q9SREq+4OuOY2NSLJiA6gLdfmAiMYVESyMSLQmYhglJEpwuAgJV2KmpBsJFUBE4KYoOUeQdONGuGnqRF8oMzatkPflJUajPX3Lv2zC8cSa/MIydRGG59kFclJpueeA6Kc1Dizrs2Y/Oe633dPOpnvEtQDCcJrl2tJnumV+TQvk4aiQeAS/yUAsqTMNuUWXXNfG+54OfFe6KN5axqjwjWYotOYLcx3LefY7Sr0NAZf+tOudaPq855wn5fRPguLqjFCFlGIbTrJXdxnGc89xqoWUYRs1jdWoZtVFuFtTXv/51PP300zW99kxrVgGq3jlOsixj//79yGazngLfIJHxFPVeTVmWhdHRUYyOjmLOnDlOa6Lfvm5hbmuxBoly9Z3V04xt25OQCyVIOe+LsaJoKXnZcV+U2gh541GADanpBBNgw0kMS2iY0whBFCBJdoaeGBaga4ZjEYa4kAtOqkrVxoi0O8gfTopiOhl1gLv3Gse5akqdIHmQTDbBwyrBKmgsil/WnsYmS/jEzjTdwsUbvIMij7eImy/JlyYqS0VXrBgWIUoitGLuPCfw9ggUnnd1hrBMy9dFTNfO0TVPdKYfR+2LTaSgpRbs815yukpEnYGZkYTt8iMu4YamKAo5FY2tMRRyKqSI4MDpa1eW/936gYcAira0CKzI2lPJRVjvNN2pzoJ69dVXMTAw4FhPhw8fxplnnolt27a9YbOggFkGqEpiAUV3/F66dClWrVpVtflM9lVPXCqVSmHv3r2IRqNYsGAB5syZ45y0V/8vFfc8KaG9peTqa44bSOZ4rFrVhJ0vjyEcEaE41pRS6gBedIuRH7rXxVeKFbGQ0hTVk9VXbWpwkNUkhiVI0bDtzhMFiEU4EaBGoiJUCkpACUyS5A8RVaZSl0X6damr9AqperLsfV8EWiycWCmK6QzCC0v+ixzJ2vM7lejYVLUaFReixfS26RoPzUOrNeLZPhaahzbLbYVNcu2ex1Wynq7/sI6v31+6zYU4iGEJvGnCKH7PIS7k20GEyK+NFRBc3MtaUWSKMj1xmcBJLajOWJBIIuKAKpqIQCmoEIqvUcipkPOqy4WsKErNlkyQtRTkIvSLa9UDKFVVp9xDdM2aNRgZKZ0rS5Yswfbt29HW1oaLLroId999Ny6//HJs3boVTU1Nx8W9B8wyQFWCC3HxmaaJgwcPOr7Xajt+0yLJDbUAirQm0jTNcSEODAx4khg++U82pGKREFLgnayxRCwERdYQjpA4lARVViGIAnRNBy/yMDQDgihC1zTfOBRQasQa4kKuQYHEzTcdYALsILcoiRBEHpZpwjBM59g5nnPgpBfjEWIxW4+Gk2laTlKIKPhbUuVU7ddKoEXCaZEIKWh2P46e0krqr/yASCwqGkYkJkX+F8VQ1dbTJNfuC6laNSYsQJvu/5q09UQkiO4LBXKOaRwHXdMQ4jjwnB1vEkR3PR45x/wUVC9F+zf8kiwIsAB3kgQLp3hDKfYEAI2tMQgCB1XW8bHzDmDXrowDqcbGRqedUTQarTnGE+QiJLAi/3RdRyZjT+sl8a1KyRgzVTZD64ILLsDvfvc7dHZ2IhaL4f7776/8pGnSrAJUJfE87xTGzZ8/v65hhUS19PbTNA379+93WhO1tZUWAgI6VpZVilEoaim1+exzF2Dr80cdK6oWSBmaBl4UqUJb98nvlwDhp3JxJjEsQQiLCEfC9hTQYtGtFJEQjojQNcMZ721oBvRiGpxI1TkpcunzEAMsKVq1WE/lROd6kBY4lmWVdQnqmgUd7oQK2t1XrttFufuIRkV/V8t4aB4AYCI012VFjRW3+1lR9chOYCm6iC0ySbj0QUUTMegaPfy9lChRbjAj4I1HsT38aPlZUgCgyIobVEUXoFz8XwwLkPMqTNNyLny6urqc96MoitOe6OjRoygUCk5PvYaGBjQ2NiIWi9V8ActCa3R0FPv27cOpp56KRCLhims5LnjLAs/zvskY092IdnBw0LXve+65Z1r3X61mFaDKfYljY2MYGBiAKIrTkjJeDaBM0/RtTUTLb9ggUHL1Ad5A+tnnLsCf/3gAAJyYE4k/2f+rEMOS6zaROz08VNxG+udxvhl5pccHx5n4YryCFwUIolCEkwjDMMHzHAxNd2BEXJEEVPb78EmAoODEWk+FYiyOZ/K86WQI9rOORmvrE0cWZGJdiQEuPaByjErVTEiM1Xfemf4dDIISJeoV694Lcu1Nqo1okdKu2x//IPD9n2ega4ZzEeQ3KVcMi/YFkiR4LHDTtDznVYjjXO5UjnIVcjzvO7KFwMnQdAhhEYpcsv5VWUUkboOKgK+hOVZ07YkOnO7836XffSgUQiQSQSQScdUe0T31BgYGkMvlXE1jSaeHaoYOqqqKvXv3wrIsbNiwwbPuVErGyGazFduY/T1rVgHKT+xMqHQ6PS31TOUAZVkWjh49ioGBAae4N+hkpocNsvv4xHkFfO+/oxAFOFZUIhZCNm9h3VmLsXPbIQdMBFSl/1XXbaDkwiM/YNq95zwmAFLl6pkInARRgBgWYZkWpKgEXdMRLnYCkCISdM2g3JOlrEQaVEQETqqsQxB5KEbps9b0oH6L5a8yCwV/12U0ynuav/q5VuTi8yNRMv3X+5hczj5OuvOFWnRhkv8lkXPgxEKBViXridVYwPZqNKk2Bt5nw4m34zoUpNiEnCBxXAgm3LVydJssust8kBVl6gaMULH+j6qP4jjOBSdVVhFNRKEWVMiS4JxnlmV5ShaCFNRTL5vNIp1O4/Dhw8hm7Tlu8Xjc5SIkHhkyeqe/vx/Lli0L7DpTLq61e/dufPKTn8SyZf71b28GzVpA0fEeMhMqlUphYmJiWvYfBKiJiQn09vaisbGxKkvNbz+WZTlXVMmkBrFN9Lj6GhKc494jkCq5+QT7KrN4mxN4Z4qtvf9SNh9ANXatEkwABSdRdK6oRUmCZVrgBM6Bk2GYECXRBSeVqqeh4SSInOPeC0otdrnz2CpZ+rhrmlhqOECKRPx/MnRaOQEVm9auUyn9imIgHOYdKNHy28bKD061xqHGQvPAh7yvNSK3YG5ksuxzWWARNx89v4t87zrsYl76fKPl7uXnvQAilhRtRbHyS0GXoqUkBzJOnsAp3hSDKtvWE4lD0dZTrQqaFUVaEw0PD2Pfvn0wDAORSAT5fB7hcBhr165FPB6v6bU0TcN//Md/4PHHH8e9996Lnp6euo/7RNesAlQoFIKqqti/fz9SqRQ6Oztd8Z6ZGrkBuMdurFmzpuqTkk5eoIOq5P3c+H4dtz8cgiCG0N4qIJsvLZSr1s7D9ucGXFe1RhFQ5Da9aHCGDapyHc2JyoHJNC2nw7UgCrbF5MScStsJnOz9hRwwkfRlIlXW7NhZMWhBJ0mwQfrgz7F+Hz1tLcmyDvKxRMq4BO0iXVJM7P84RTGgqaVmt0TvPttrMVcrP+tpIjQXpk89VLWiYeRn0X3yimbc89OkXWCrG+CKxdX0eUd+CQJsq52FELGSaLce/Zhy8SgST3X+piw3TVERpmJQJA1dlVUkmuNQZc0B1HSL4zg0NjaisdH+/Oi2aMRluGfPHqiqimg06oprBQ043LVrFz71qU/hXe96F/785z/XnGn496ZZBShN07B9+3Z0dHRgxYoVnhNguocWyrIMRVGwb98+ZLNZdHd31zx2gxyTYRguMNHHfsOlGm5/WMTohI6wxCEaKdZ5JDj0vKUD25+zm4CW0s115zYbDyBXtzo7kQ/+01TJQkGeZ5pWEUomxLBtMQlh0YGTqZtOGrBtORUz8IrgkiTBBapyPQVpyQUNHGUx8XwIGtMPzjlmNvYUq29EN7GUysWegFJ3CxaSWjHLT5UNB1KaWjlDcli26/DmhP1df9VqXG7A3GiK2RbsyiPyc/cRKPlBisxvItYPARdgQ4icQzoV6yT3kdvl4lF+9VEhLuSKrWqK5iRLECDRcLrr2ljF9z0VybKM3bt3IxKJeJKvSCPYTCbjdDOXZRmSJKGhoQHPPfcczjjjDDz99NN46qmncK+Y1dgAACAASURBVN999x23Zq1vtGYVoCRJwjnnnBPo3plOQAHAyMgIjh49WnMNFRGpRp+cnERfX5/Tlt/vqumGSzV861F74S/IlgMpAA6kNEULdO85tVFU81gg2JXm3G+ZLmuJPIeGk2kYECXJgZOzEBU/D78CYtqK4ikryTRMyIXi+AyRd9xmXDl3XsW6J//vPBIRPLEmP6OSfn4kIni6SAC2e4+cWuEw78CJiNRvXfz2+i344UIz2iNeaI0UmtAWrQ1m1bj5iCblCIB08YLHXeNDoEWLdvfRc8H8rCgg2JJihx+Sc5judm63SrLhpKkaYg1RaIqOeFMMYliApui478bKUK5XlmVhaGgIhw8fRnd3t2+RP90Ilo5FKYqCiYkJvPzyy7jvvvswPj6Ozs5OPPDAA0in03jHO94xY8d9omhWAQqwze6g2oFy91Ur0zQxNDSE/v5+RCKRumqo6KI+SZLQ09ODdDrtBGAVRUE0GnXcB42NjZAkCeNjMua0RRCWOAdSDQkOmayJlesWY+fzfeB43gWpAjURl76aBeyFpNzizosiLNOEZZoQRNEBE4CSxVSEE7ntWEzFzgOiJLoyDVkpsgaBykeuxqVXzp3HWk/l3p/tzivGnqIBsSfGVSXLOgzDcsWqdLadlGJ4jgMA/q+zBQBeQNFuNWI9BWlUbvSF1Fih0QWpcdlu4zNSaHKsKD/ryc9amihE0Bp1uyEvv2QufvrgYU+nfHLhYBomTKrpKrHcSUE47VYulykaVB/FljPomg6JGr9BulwQOGnq9F2IBimfz2P37t1IJBLYuHFjVVl9tEKhEO6//368/vrr+NnPfoZ169YhlUph586diMVm1uI7UTTrADVTIq2J9u3bh7a2NqxZswZDQ0N1wYluj8JxnJPqSq6uiEsgnU5jYmICg4OD0DQNl2+M41cvr0FzS9jTxSAeFyBKEjRVdSABlOow6E4S1dQ7cTzvLCS8wDuWFFmAiDuPuPeIDM0AL/LOgkFE4ESSOUgnDEH0jzfRf0/Feion2nqUCzrM4sVL1CerkIhYT8Sq8kuqoN14JHNM1QwAApJyFM2Rguc5lTRc8G91M1KofxR4EJxcj5FLt8m0ABpSiqwUrSWS9s9YU3rpIijIxecnQzccdyINK7IPAidD051kCRLv1FQdYtFCnwnrybIsHDp0CEeOHMGKFSvqGib4yiuv4DOf+Qze85734H/+53+cBtZNTU14+9vfPt2HfMIqVMFimPky5eMsVVXLWknPP/98WTegn0iqeiQSQVdXl5Ols3fvXqxfv76qffglQNRyDKT7xcGDB/Hf/W+FIHAIh3lXEWkup2PX9gNOUSPpWE67VNiYFJsoQVtYtLuFWFNAKRZA0n0NTXeubGl3Hd2/jSwedA1NEJCAUtYY4M7W45jMOfozpNOVI1GxIrxY96bJnDdsuyVf155GUs+pmi4mzhQOC0XryVYQoFTTC7s54bQHTsSCYuFELChiPdHiQ95jn8iHMS/hrsWiAdUalV2AAoD//PEAxLAIJe+e1UQAQn+mhmHAKFoy9Hlmlska9Rw3cw4C9jlMzjcpGoauaYjGY8XbEkRJgKbq+NEtlXtq1qpcLofXX38dLS0t6OjoqNlqUhQFd955J5555hl873vfw9q1a6f9GE9Q+f4YZ50FVWkmFGnyWs2J5ZeqTlRtPGuqYALgilGdc845eNvbQvjiA6UfN4FUPC5gdc9p2PGX3mK6uQhD01y+fxKTImKbe5IFxh40V0onpuFkFGMMhpMAUYITKcKlrSgCJ1YkNRgADIOKSbmSIepLJSdNdVlF4/axVoITAMj50j4iPokWNETlgoZIVPRNgqDhFKThbBwtMW9d2rjitQCC3HxTVTnrCQDS+WKiR9FlS7wHZtF1bBqGKzkCqN7F59u8mGouK4iic96S880uZyi69lQN8aa4K9b5wgsvOK5yOnuuHpGi+5GREaxcudK1FlSrHTt24JprrsHFF1+MZ599tqq5dG92zTpAVRJJNS8HqHKtiYgqAWo6wEQAaVkWVq9e7Upd/8q/hvDln9l/y7LhsqTW/0M3dvyl17Uv0t6okkrJEyX3nmkYztUrgRP9eJ1xGbJWFGAvIIIoONByQcinM4GfWOvJdV+Vrr5Czp29SFs+tNgxJbmM/Tw/UBHJBc2eAEzHpzQvsGpx8+mm/3v2c+2NFRpdAxqJxrMS5ja44TeRr7xQT2YFtCTc5/j7L+/Er7bsc7L4AKqzP8+DxNjoeicCKfY8IfJMema+Szp7TwxLzn4kIey6X1M057k/uqUVlrXJcZUnk0kcOnQIiqIgEok4wGpoaEAkEin728xkMti9ezfa2tqwcePGmt36iqLgG9/4Bv7yl7/g/vvvx+mnn17T89/MmnWAqnfkBlBdayKioIQLOgGCxJlqBZOmaRgYGEAymURnZ2fg+I8vfcTCl39mF4SykFp+Zgdee2Gv/b4Mw3GVGLo3McKv43SQa4WXBCfm5HbXuRduw2dhrkbTYT3VIrmgOZZiOfg4j8+T2JnPKIViAa4i6w6k/uGcJrhboHo1nA2umZvISWiNVzcHfiwrob3Ba4V59knBaTgbw7xE3mM9JXPupYNYT7RoSBma7gzFBMi0XfszIungfkW6fpYTvY0TeNf5RuDECTx0TUckFoWuaYg1xF1wAtzZc/Pm2fVjpP9eOp1GJpNxpXzTllY0GoVlWRgYGMDExARWrVqFRCIR/KEG6KWXXsK1116LSy+9FM8++2zdvT/frDr5aTDyK9a1LAvHjh1Df38/5s+fX7Y1UTn5JUDUItM0cfjwYQwNDeG0005DV1dXxYV4YiyPSExES0sE4+OyE7SPxUScfs5y7Nne7yyPmk/tE+C9YqXrUniqLxov0UByn1p0rQrt5vN7PGs9EVef3bPPfRxEHM8B1OHTFhP9GUVi9XcLIPCpJvZEOl4QEOlMdwhF1vH2f6gcPC8Hp5GM/4iF0YwNmLZEZXCNZ6XivsIeK4qIhVMlvevCLjz+8GseuNBF56ZuOHEn2sVMvtNqOuazY+GdOivSLb8ILCkSds7hB75SfoQI3X+PTfkmdUrDw8PIZrNQFAUNDQ3ObCR67lMlybKMzZs348UXX8RPf/pTrFq1qqrnzTadBBQj1oKqtTWRn6bqzrMsC2NjY9i/fz/a29tx1llnVQ3I/7gmis/8vwVMwl5YZVl3ZZat6FnqWFK0VeQ3u4ct1OW4UGmRYRp4klhDkBXlqm3STai6WnwuB52CkBDQ8tqvaJg+riDRgxyJykHLb/4THb/ycwEa1DETULHWXjVwYjWZDztxqCA4BWmsCKLRTNixogicaPm59oaTAuY1l34TtPU0mRXAc8G1cp6O+FR6N9uxhONCrrHxRH4dTeiR8YLkhpMDN1GAFAnbKe66WdYFXEnhcBjhcBgtLS3Yv38/NE3D6tWrYRgGMpkM+vv7kc/nwfO8yz0Yj8c9F6Lbt2/Htddei8svvxx/+tOfTlpNZTTrPplqZ0LV25qIla7rjquvHndeJpNxMgTXrVtX12Cy/7gmiuu+ay9KNKRiMRH5vIbTz1mO117Y66ropwFAN+4kqqaBJw0ny7QcC40XBZjUuPQg2AZZVazKpplX8XnT0LIsC9F4cPzFZICZyxantUaDIWdoBgxqjEg1SspRKHrtCyqxnurRSCYMdsTSRKa+Rf3CS0/H4w+/5oJUoIUe4gLvD4ITEen5aBQz90xX0oQJk2qnVcl6qqTJyUns3bsXCxcudHkv2KaxxNI6cOAAstksOI7Do48+iubmZvT396O/vx8PPvggVqxYMaXjmQ2adWnmhmGUTV7o7+/H6KjdcLOe1kRAyWLatWsXcrmcU0zb1NSEWCxW3aJZHDMvyzK6u7vR0OBNDa5V//uODBqao46LKhIRkC+6rVRZR++O/Z5mnKwlVS2oADesaAjxLvDQcKMWHsZFSAPKcwx0mjnrjqzRUqVFrCcaWCygDOa2KHmv+dh423nv9E6vbY65z8ljSREtCX83l2Z431NrXPWFU1tCdawnWpxfWnmaw9wW9/uhATWvWffEnlJZez+tjeR26dgyORPPPvG6p/cea1WxY+GB8n0gnffAjHQB7HiqFInAMAxEEzHn3HjwjvpHlOu6jn379iGfz2PlypWIRqM1Pd8wDPzkJz/Bli1bnLZloVAI//iP/4jNmzfXfVxvMvn+UGcdoEzT9G0Iq+s6BgcHMTQ0hObmZqxdu7au1kRsAoRhGE4XiFQqhXw+D1EU0dTU5ICLzhIyDAODg4MYHR3FsmXL0NbWNq3DyP71iyNobE04CyndIYGGVKXR5sD0wImegOqqsaL+9owDL3OfX21TNF6d1RkEKKIwYwGxcAJKAAtHyWwiN2TO2jQXTQnvZ0sD6ljSfh0/QA1P8mht9F+8DbP686QaQLHWk0+jDwdQgA0pFlC//80rrscTUAVZUwA8F0n289zH69c5H4ADJykSdoq/pwKn8fFx9PX1YfHixTjllFNq/i0WCgV89atfxcsvv4wf/OAHWL58OQD7AnRoaOhNPSqjRp0EFOAFFGlNdPDgQSxatAjRaBSTk5POiVSt2ASIcieyqqpIpVIOuGRZdiCVyWSwcOFCLFmypOYkilr06e/kPZBSi/GSPdvdKei1WFGA2wUTBCr7Pv+O6OzjXNmDZe6rVHjrTpZwWxuV4AS4F8lITPIAirWuAECg3v9Zm2wXU7WAAryQCgJULXAaT4XQ3sxYSunSd0EgxQIqlbEwt7X0OjScAO+04kzO3g8NKU1RAwtwg0ZpVAMnQzcgRe0LESkShiAKCHGhuuGkaRr6+vqgqipWrFhRl2v9hRdewOc+9zlcccUV+NSnPlVXYlU1evLJJ/GZz3wGhmHgqquuwo033uh5zC9/+UvceuutCIVCOOOMM/DQQw/NyLFMQScBBdgLEekmQbcm6ujogCiKSCaTGBoawurVq6ve31TrmchVWjgcRjQaRTabhaZpzrAz8m+6g6nVQMqvcacre65KOAHB7jzW+gqykMrBye+2+7gqdI2wLBe0vO/b8jwecM+r8rj/qFqpt77DvVAGQYqGE+AG1PCk/f5ZQI0l7c+ypdG9z/FUMUbSZHm2AXAgRcOJiD3VUhl7H0GAymTtfTU32sdI4ATY87See+o1l9XkmflUhdUEMF3pqfNBikZg6gakaNhpc/TQNxd5nl+NyLqwZMkSzJ8/v676xNtuuw2vvvoqfvCDHzgj5GdChmGgu7sb//3f/41FixZh48aN+PnPf+7KCuzr68Nll12GP/7xj2hpacHIyEjggMQ3UCc7SRCR1kThcBjr1693+ZQFQahqJtR0gCmXy6Gvrw+hUAhr1651NYC0LAu5XA7pdBojIyPYt28fTNNEIpFw3IMNDQ1TsrLuujaGj30tiYbmGNKTBVdGWseapQCAgVf7nW3Ekgoag1B8FAAbXAaVWs3xPHTqeXR/Pp4vPS7EhagR88HwiybccYAp9dwjo9vzdsIDWRjDRWAFdXQH4IwDKdfEloVTkFg40SJwAmygEEgROLGiQVSrUhkTc1oCCoAnbCuKtZ4q6S3nn45nHnvZuV2p72M1cCKPIckRUjRsd9G3LPz8W4trOj6g8vj1SrIsC88//zw+//nP48orr8R3vvOdGbOaiLZt24bOzk4sXWr/Xi+//HI8+uijLkD98Ic/xCc/+Uknnn4CwilQsw5Quq6jv7/f05qISBTFGe8AoWka+vv7kUql0NXV5ZuIEQqFkEgkkEgkcMoppwAoTehMpVI4fPgwMpkMOI5DQ0ODA614PF7T8fzgpmZ87GtJhCOi044HsPvDKYqOjjVLsf+V/fYxVdHEE/BaVZzLInIvfOXiSbTYlkty3t35ggY1/f6lqFR3DE8pAkuKuBcqP6+DUihZB+Go5FhP6zcuqOq1RiaARp86z8ksD7Xy9ZL92HTIY0XRYqE1muRQJgHSEbGenNsMnIj1BADJtOHqJl8o+LvtgsDkarPFnCtOmy0KToIkwLJMxJpKSUSfvvQwXnppxEn3JoW15c6D4eHhiuPXyymXy+HWW2/Fnj178PDDDx+32NLQ0BAWLy7BeNGiRdi6davrMb29tjfkLW95CwzDwK233op/+qd/Oi7HN1XNOkCJoli2gWtQJ4np6ABBF9ouWbIE3d3dNe2DndAJwJWEQWoxBEFwZQ5WatXy/f+nCVd9edxJYGBrexYvPxVDfYfs16MWkEBQccEze2iVu7osCysWgGWsSLXgDcaHKVeed96T9zYBFftcIjZGV8ja8Dz7racBALI5E4k4E8/Jhhw338iEvS2dtdCYYCAyYaKpwfv+JtIc/D7+yXQIrPERZE2l0gZam93fQSpj73R8MtiKGp/QMafVf+nI5e3PorHBe/9Z77Qbn77wxEu+z/U0KvZ5g1yxcz5QtJxMC4mW0u/BtpwWQ1VV53cxPDzsJCfR3SBisRhUVcWePXvA8zx6enpq7n9nWRb+8pe/4IYbbsBHP/pRfPe7353R2HE90nUdfX19eOaZZ3D48GG87W1vw6uvvlpXl/XjrVkHKKB8w1ie511dmIGpd4Ag8a7+/n7MnTu3pkLbSuJ5Hi0tLS4rjP5xHjt2DIVCAeFw2AEW3RQzmUyit7cXN3yoGR0dHfjobZMA4i4ISBERC7sW4+DuwaqOiSzYtguwBHuOCwFkICJVaGk/lgwv9LpVWOuJFvtdVAN8GjiWZflCJ0iFXKlHXiQW8S1oBkpwqiQCp1o1kTSceA+tKpIvPfshkCJwImItJwDIZt0Xb7T1RCud0SEKpe8iny89b/07zsCOZ9zZfZU6R3B+rbUoOP3iO+7PW5IktLW1ufpkkt9FJpPByMgI0uk0NE1Da2sr5syZA1VVIQhC1ReN2WwWX/rSl9DX14dHHnkEHR0dVT1vOrVw4UIcOnTIuX348GGnswXRokWLcPbZZ0MURXR0dKC7uxt9fX3YuHHj8T7cmjXrkiSA6kZunHvuudPizkun0+jr60M0GsWyZcvq7pY8VZGmmCR7UFEU6LoOnuexZMkSzJ0717l6/NcvjkCKSFBlFY2ttt9JlTWnsemRfYc8+2f79dWS6efXSinoPlZciHPm/dj7rb/uiYi49PziICZTn2PqpgtwpmHi9A2LEI+54cFaUACgqN790xbU6ETptWgraiJpfw8soJztTe7tyZR3eypdAkIQoNJpDa2tpQsGFk4SM3OMWE8AkMvalmtzs/3Z0ICSC/bfO555peaWRmSsS8Oc0tU/C6dKIuPXw+EwOjo6kM/nnQs61gNBukHQ55VlWfjzn/+MG2+8EZ/4xCfwsY997A2zmnRdR3d3N/7whz9g4cKF2LhxIx566CFXkteTTz6Jn//85/jJT36CsbExrF+/Hjt37nQVGJ8AOpkkQVRp5AZgu86mAiZZlrFv3z6oqjpthbZTEekvNmfOHAwODmJkZARLly4Fz/NIp9M4cuQIDMNAIpHAbR9tRGOjhM/fIyE9kUVjawJSRHQAdUrnYgdSfi4x+3+3dWSYpVZK1cKpkrjiftSCfw+5cKz21GCgNObDNE2EqamsfnAC3BbZ+nP9r6JZN9/ohL1INybcMCFuPhpOQUqm/a0o12NSXgDQcAJssLFTiNPpyoGv8XEFc+bYnw8NJ9frJxVX70ICJwBYebYdyN/13KuBr2E3kC0WA59Sig2R32YtcAoavx6NRl2LtaZpjqU1OjrqtDDasmULTj31VOzcuRMTExP4zW9+gyVLllT9+jMhQRBw99134/zzz4dhGLjyyiuxevVq3HLLLejp6cFFF12E888/H08//TRWrVoFnudx5513nmhwCtSstKA0TfO48YBSnOlvf/sbFEVBU1OT8y8cDlcFKV3XceDAgRkrtK1XpOHt4OAgFi5ciEWLFnmu+kzTRC6Xc6ysTCaDu369yBnVnmiKu8ZDaIqGkQNHy75uxdok6hhY91411lOtr0tSkCtdoLDnh984enbkBg0n1oICSlYUgRPgBRTgb1kRC4pYSUQEUJ7tTbwvnPxOxXRaQ0uL5NlGxFpKAJDJ0P0I3de5xHoCSkBqbAq74ET3M9QUe7ta7MM3+Lc+AMCCzlMBFC8Wi581+Y3WajXR49c7OztrdrGrqop77rkHjz/+uNONJh6P473vfS+uv/76mvZ1Ur46WQdFxALKLwGCXEWRxVqWZWe4GYnj0AFVy7Jw5MgRp+B34cKFJ0ywlKTVNzQ0YOnSpTWlz5JmmNd8S/VAih7+5gcqupGsn+pp+Eo6VZeDk73vCnVPlOVHuwiJPHFIxlKkWzEtX7cYsZjXGeEHqYLi3i8LqPEJ+zNNJHxaJvl0TbeP1Xezr1hA0SAikGKtp1xOQ0tL6TOi4QTYM7Ra2uwSCRpOgNtiIpZUOTgBcMoMdM2gup/bv085X8Aj93VXepuOpmP8ejqdxs0334yhoSF8//vfx6mn2uBMpVI4duxYzUX9J+Wrk4AiIv2wgOo7QFiWBVmWkUqlHGgRl5ggCJiYmMCcOXOwdOnSE2YSpqIo2LdvHxRFQXd3d13zamh94NoDEMP2uAx2OqlhGBg/PAKguj5qfIXPqFxH8qCkCWKB1TrKnZYUDVeEE1B6j6efZacTVwOosXEVcR/wEEgROAFeQCWTGhp8MuOSSRWNjd4LjlRSRVOz5NkGAM2UtcTCiHX15XI0wMK+cCKSIu7jo+FE6sWAUs0YgRNQAlQQnAq5fE1gso/dHr/e3NzsuLNrkWVZ+OMf/4ibb74Zn/70p/Fv//ZvM3rRWU1HCAD49a9/jUsvvRR//etf0dPTM2PHc5x1ElBEuq5D1/UpJ0Bks1ns2bMHuq4jFouhUCggFApNqS5pOmQYBg4ePIjh4WEsXboU7e3t03oMl169H2JYckGKLrwdO3Sspv2x3ScqTb8tl9XHirWOysGJiMSaHHegp4uE6YCJFgspGlBj4/ZC7gcoANBUNxRpQCWTpcWdhlSyCBwWUARENKDINqLmFskDp2xGQVNzKW5HwwkABGZcBTt9WC5oaGyJFv/2h5NS/Nt1caMZiCQiDpyyqZzTWcLUTfz63k7UIjJYdHR0FCtWrKhr/HoqlcJNN92E4eFhfO9733PVGs2EqukIAdjTDd797ndDVVXcfffdb3pAzcokif/6r/9CY2MjNmzYgLa2tpqvilRVRX9/PzKZDLq6ulxuA1KXlEql0N/fj1wu50zjJNCqp69XNaLT2efPn4+zzjprRq74Hr7bXpw/+Fk7UUKKSK5hdG2L58PUTUwcHam4LxY2pm7Az/4iPddqgRPgTaDwS2N3vT5l/amy4sCpFLsysfT0U6t6bZI4QBer5rK6B1IT4zIaGtzHRTLmdN0fqEkKOOl0yYqiQUSsKBZO9nO8cLKfI7sgRSs1WUBTEUB+cAKA9GTB1f6pGjgBQHYya982DLtZcR1gAtzj13t6euoqCfn973+PL37xi7juuutwxRVXHBdXfTUdIQDgi1/8Im644QbceeedM35MJ4JmJaDa29vxzDPP4K677kIymUR3dzc2bNiAjRs34owzzgisOjdN0/FnB418D6pLIm7Bw4cPQ1EURKNRV0fzqboFydyoaDSK9evXH5d0dtJO5oOfPeSM1aYtqdYFdtbVxNGRQMvFglG2mJfIb5AdUBk4rFz94BxLyV6Q2Sw9+phVWcHyDSWrKZ/XEKswAn5iXEa0iscEyQ9OmYzu20U9nVbh51k9fCiDhgb3uZApwoiAiMCJKJWUPa2bcgRgkwUoBRUNTaVWU3RMSZE1B0R09/dycNK1ksu9kM7hC1elEIvFMDAwUPXvwzTNKY9fTyaT+MIXvoCJiQk88cQTnnqimVQ1HSFefvllHDp0CO9+97tPAurNrAsvvBAXXnghANvd9/rrr+PFF1/Eli1bHL/vunXrsGHDBvT09KCrqwsPPfQQ5s2bh+XLl9dcaCtJEtrb29Hebs8BsiwLhUIBqVQKY2Nj6O/vd+JZtfbZU1XVmVXT3d1dlztjqiKgev+n7b594VgEnMA5mVdNc0sprcljY57n+zUKrQZagP/YhlqhpcolSAg+z+1YXV3GWD6vO24+Ap5CXvNAKpfVoShMwWtGdayoycnS8bBwSU0WkGj0XnykU0ogiIK2pZKyJ+YElKyjhmYbQjnqOaSlUyZV8My+UihrSZVVJ12fQInUl9FgKuTyMHUDj/5wpfNcy7Kc2iTy+yBZc3R9EoFWKpXCnj17MG/ePGzYsKEuq+mpp57Crbfeiuuvvx4f+chHTpgEJyLTNHHdddfhgQceeKMP5bhqVsagyok0aX3ppZewdetWPPXUU9ixYweWLVuGc889F5s2bcJZZ51VV5fjciJ99oh7kPTZCxp2SKy5o0ePoqOjA3Pnzj0h0tkBG1R2AWvJVURbVsQySY2M17TfaqHlJxZalRI5TNNC95nuLtRsEgAAjxVFx16IWEAlJwqIxv0tAl33HhcBT2qy1MWCQCqdUnwf6wcnVoWcUtxXhNrmBj49DFJh2kaR24mmmAdOgNta0jV3EoRhGDVn49EFtel02plWbZomli5dirlz59bc8X9ychI33ngjMpkM7r33Xqfv5fHWCy+8gFtvvRVPPfUUADiDDL/whS8AsCG8bNkyxzI8duwYWltb8dhjj71Z4lAnkyRq1e23344//elPuOOOOzB37lxs27YNL774Iv7617/i2LFjWLp0KXp6etDT04MzzzwTiURiWiGh67pn2KEkSRBFEalUCvPmzcOyZctmvGNytTIMAwMDAxgfH0d3dzeu+OwQpEjEAZWTOenj7kses6cY11KoC9QPLcFn8i0ALF5RspbYAYWAF1I0oCbG8va2uNcKi8ZEJCcK7m0MpDIpGVGf57L1Vs72Gn6d+YyMWAMNIi/A6KnF7P2sy4+GFQESXStG4MSCicQvp6rJyUns2bMHbW1tiMVifDiWvgAAIABJREFUyGQyyGQyMAzDY2n5QcuyLDzxxBO47bbbcMMNN+CDH/zgG2o1VdMRgtY73vEOfPOb33yzwAk4CajalclkAqFjmiZ6e3uxdetWbN26FTt27ICiKDj99NMdaK1evXpaU85J1iAAJBIJ5PN5KIqCWCzmimdN99yoSrIsCyMjI+jv7w+sAXvfx/cCKHV3CIxJWSZSw27LaqahtWh5CUpi2P3ZsZDys6LkvDvhwA9QiuxjWRUBlUnJ1Db3c3PF+9jt2bQbOIANIQCu7WSbc2wNEQ98SCeMWANJgHDfTxruxhqjvmACSiACAJ3K7DR1A4/9pzvQPxVVGr9Ois0zmYxzcUfG1JBtK1aswFe+8hXIsox7770X8+fPn7bjm4p+97vf4ZprrnE6Qtx0002ujhC0TgLK1qwGVK1SFAU7duzA1q1bsW3bNuzatQvxeBxnnnmmA63TTjut5is1Mp4jnU6ju7sbTU1Nzn2064MkYpim6XRsbmpqQiKRmLGrw2w2i7179yIajaKzs7OqIuD3fnQ3IolY2foiVjS0agUW4IbW/KWl4DddcAtUBhRQglR6Il+87X0MgVRqMu9si0S9n43u04uOwCiXkn23Z9Ol7QRGLIiCJOcVRBMlgNFtmgD3Z8t2gteouR/E9ceCyTAM/Ob7M1O4Wu/4dQKtrVu34t5778Urr7yCaDSKt771rejp6cHFF1+MRYvqG254UtOmk4A63rIsC5OTk9i2bZsDLdJpggBrw4YNaGlpCbTSSO+wWqZ70nOjSMsinudd8axK83EqiYZm0GytanTR//06ACCSoIc1+kOqXA8/GsAcM+SIdYHyjLuqFkilJ7Ke+VCAF1K5dMGzjQZUNk13RWetpjyicW+qt1/2XpAKOdm1D5kBEVtrxt6vKRoiRWuXBhNJSiFgmikYuY6lOH5dURSsXLmyrjKNsbExfO5zn4Npmrj77rvR2tqKXbt2Yfv27XjrW996shvEG6+TgDoRRIoIX3zxRWzbtg3bt29HJpPBihUrnFT3tWvX4qmnnkKhUEBPTw+WLFkyZbedpmnIZDIOtPL5fOAIjnKiWzqddtppWLBgwbTF3WhY+UGKrYFyTVhlu6dTkJoqoACvpREEqRwFHj/Liu5lSEQAlUvlXdsJYHIZGmal76iQkz2PpbcBthXEjhOh3wsLencaOOnqoLmy7I6npjp+3bIsPPbYY/j617+Om2++GZdddtmMJhNV6gbx7W9/Gz/60Y8gCALa29vx4x//GKedVltfwTepTgLqRJWmaXjttdfw4osv4ve//z2eeeYZLFiwAGeffTbOPvtsJ9V9upMh2BEcqqo6AeampiZPgJn09GtqasLSpUtnPNb1nitfA2CDKVxcgI+XFcUCyQ9aBFIELJKPC49AioYPC4x8Jo+wD/DkvOILQiWveF6LuOPIdtY9p8qKU2wMAJrqjR+RrDpd110xnFwu57LAybC/mVzo6fHrK1asqHn8OmDD7frrrwfP87jrrrtmfNR5Nd0g/vSnP+Hss89GLBbDfffdh2eeeQa/+MUvZvS4/k50ElAnuh577DFs3rwZ3/jGN7B+/Xq89NJLTtbgvn370N7e7tRm9fT0YN68edO6SJB4FgEWiWfF43EUCvZV/MqVK9+w0SHEwqIVbYy7btcKqVwq59xmIVXOssoXrRpRYpIoKHDk0/ni8/wTZQym/otAinW3EUix0PSTKpMx9WHXbcAGEXHJTUxMoLe3F6eccgoWL15c8TwizZPpuUmkQwr5V2lyc7Ui49eXLl2KefPm1fx8y7LwyCOP4Pbbb8eXvvQlXHLJJcelBKNSqjirHTt24Oqrr8Zzzz0348f2d6CTgDrRRdxufpYSca3R8ayxsTF0dnY6saz169dPa+8/0zRx8OBBDA0NoaWlBYZhuK6miWtwqvGsemQYBgYHB3Ht1+0FmLamyg08ZD9bNuMvCFKFXL542wsbGlKFXB6iz9U+gZSclz3bALfF49pOAUaUJNdtoPZYkKZp6O3thaqqWLFihScLrhaRCbV0x3/iNibnRy0dTRRFccavL1++vK4M2JGREXz2s59FOBzGXXfd5ZqoO9N6+OGH8eSTT+JHP/oRALul2tatW3H33Xf7Pv7qq6/G/PnzcfPNNx+3YzyBdbIX34muWCwWeF8oFMLChQtx8cUX4+KLLwZgL9J79uzB1q1b8cgjj+CWW26BYRhYs2aNY2WtXLmyLlfcxMQE+vr60NbWhk2bNrkWdvpqmh4pT4DV1NRUl0umWo2NjWHfvn1YsGABfvPDjsAMxQuuKI0VD3H25F3DMFzvxTQMVzcKBe4JroAbWrqmuSAl5wuQ8wXXY4j7TJQkKEUgkf+FInxUWfHAh90+nQkIlmVheHgYAwMD6OjomBbrmx2rblkWFEVxzg26rRdtabHnhmVZOHr0KA4cOICurq66oGJZFn7961/jzjvvxJe//GVcfPHFJ0zhup9+9rOfYfv27Xj22Wff6EM5oXXSgnoTibRQevnll7Ft2zZs27YNe/bsQUNDg+Ma3LhxY9lZVYVCAX19fbAsC93d3VVdYZOFiVxJp1IpaJqGeDzuqs+aagxNlmXs3bsXoVAI3d3dM9Z0l4jEwIj86qtIm6Zf3duJPXv2QBAELFu2zLVQZ7PZac+irEVkxLkkSeju7j6u42DImBra0tI0zandi0QiGBoaQjQaRXd3d10XU8eOHcN1112HRCLx/7d37nE15fv/f+5dKFGpMUmIUomRqIZhmI7ruEwcDDPOZOY8zHBkJsMcl9/DMV/jmhEzbiNmHPJojNsYzHFcambcSYgIFRVFKumOau/9+f3RrHX2pkh3tZ6Ph8fD3n3s9Vm7Zb3X+/1+vd9vvv3222r1mvQpa4gvLCyMzz77jKNHj1Z5XuwlQgnx1UeEENy/f18ODUZERJCcnIy9vb1stDw8PDA2NiYkJAR3d3ecnJwqPBJaahml37pJCGFQn2VmZlam+ixJ+Ziamlope6tM9FtOPWtvpeVw9A14ZRtc/WF9tel7k64NaSSGNK1avwNEWR5odDodO3fuZMWKFSxcuBAfH58a9ZrK0g0iMjKS0aNHc/DgQZycnEr8HJ1Oh1qtlmfU1RMUA6VQjE6nIz4+nvDwcM6cOUNoaCj379/Hw8ODgQMH4uXlRefOnSu9I7o0nVcyWlI+Sz80+GSiXUrm29jYlKvIuSrJzs4mJiYGa2tr2rZt+8IeouRlSZ6FfjispKnNL0JeXh7Xrl0r97C+qqSk8etSMa1kwHNzcw0Kzs3NzWnSpIl8Hvfu3ePzzz/H0tKSb7/9Fisrqxo+q2Ke1w2if//+XL58GVtbWwDatGnDvn37nvqczMxMGjZsiJlZsQioHhgrxUApGCKEYMyYMZiZmTF//nzS0tLk1k1XrlyhYcOGdO3aVc5nOTo6VrqBkDwLaVLx48ePMTExwczMjOzsbIyNjSuczK9sioqK5HY7HTp0kG8iFUUK0T7ZEPVFPAupH+KDBw9qVHFZEi86fv3JBsrXr19nyZIltGzZkmvXrjFz5kwmT55cpfnO6iQ/Px9TU1PUajWBgYFcunSJUaNGMWLECKDOGynFQOnz4MEDxo4dS2JiIm3btmXHjh0GM5wkbt++zccff0xSUhIqlYr//ve/tG3btvo3XEXcu3evxF5kQghycnKIiIiQVYPx8fHY2trSrVs3vLy88PDwqPRpvdINNiUlBXNzc4qKiuSbtP4okprwCPSFBpVdpPysY+bn5xt0BRFCGIxmkVpZZWZmEhMTg62tLa1bt65V3mZFx68DpKSkMHXqVExNTfH09CQ6Opro6Gg++OADpk2bVgW7rh6EECxatIj8/HwsLCzk4t7Q0FB++eUXGjduTGBgYA3vsspRDJQ+M2fOxMrKitmzZxMQEEBmZiZLly59ap23tzdz5sxhwIAB5OXloVarn6m2q8tIT8CSwYqIiODBgwcGAx/d3d3LLQDIzMwkNjaWV155xSBkpn+TlvJZgIHooDLl9SXx8OFDrl+/jomJCU5OTtUqNHgSnU5nECrNzc2lsLAQtVpNmzZt5A7fteFpW8ofpqWl4erqWq6WWDqdjq1bt7JmzRqWLFnCkCFDDM6tMj2L53WCKCgoYPz48Zw/fx5ra2u2b99eoQfWwsJCtm/fTkZGBpMnT2bFihVMmzZNzkdmZGTQpUsX1qxZw4gRI+T8VB1EMVD6uLi4yB0bUlJS8Pb2JiYmxmDN1atXmThxIidOnKihXdZ+NBoN165dkwuKL168iBCCLl26yCIMFxeXZ6qzCgsLiY2NpaioCBcXlzI9AEj5LMmzyM/Px9jY2CCfJSXfK4L+DdbZ2blEL7smkYpaW7dujampqWy48vPzq6yQtqzoj19v27ZtuW6sd+/exd/fH1tbW5YvX/7csGBFKEsniO+++46oqCiCgoLYtm0bv/zyS4U7QeTk5GBubk5qaiohISF88cUXFBUVyQ9BP//8M7NmzSI2NrauGidQDJQhlpaWZGVlAcVPYM2aNZNfS+zZs4cffviBhg0bkpCQQP/+/QkICKhVCefahtSNQhr4ePbsWWJjY2nWrBkeHh6yp9WyZUu0Wi1hYWFYWFjg6OhY4XBhSYWjFREdSB7dq6++WusEGpLk3sjICGdn5xLzMIWFhQZdQaT8nv73URX5G2n8ekZGRrnHr+t0OkJCQli3bh1Lly5l0KBBVW5cyyITHzRoEPPmzeONN95Ao9HQokUL0tPTy7W3J2vyTp48yW+//YaZmRmenp689dZb8s9Gjx5Nu3bt6vKo9/pXqNu/f3/u3bv31PuLFi0yeK1SqUq8wDQaDcePHycyMpI2bdowduxYNm/ezIQJE6pszy87kly4T58+9OnTB/jfvChJ6r5582Zu3rxJYWEh3bp1Y+LEiZUisS6pcPTx48dkZ2eTkZFBfHw8Wq2WJk2aGIwiefKBo7CwkLi4OAoLC3Fzc6tVAg0hBMnJydy5c+e50vGGDRvSvHlzmjdvLv9bqSYpMzOTW7duGfRfrIx5Yvrj1z09Pctl1JOTk/H396dNmzYcO3bMYLxMVXLnzh1at24tv27VqhXh4eGlrpE89oyMjBeuvdLpdPJ1l5WVhaWlJdevX+c///kP8+bNk42TFNKbP38+33zzDZmZmbXOi69K6rSBCgsLK/VnNjY2pKSkyCG+kgrmWrVqhbu7Ow4ODgCMGDGCM2fOKAbqBVGpVNjY2PDOO+8wZMgQ/Pz8EEIwbdo07t+/z4EDB1i0aBGPHz+mU6dOspfVqVOnCj3hq1QqTE1NMTU1lYUgkpw5OzubO3fukJubi0qlkuXMhYWFpKSk4OjoyKuvvlor8jgS0sBKc3NzvLy8XtiT1/8+pB53+v0X09LSuHHjxlPy7qZNmz7X0Gi1WuLj48nOzua1114rl7JRp9OxZcsW1q9fz7JlyxgwYECt+v4rA8lrUqvV5OTk4O/vT0ZGBqtXr6Z3794MHjxYHjsvhJC/d41GIxvE+kSdNlDPwsfHh+DgYGbPnk1wcDDDhw9/ao2XlxdZWVmkp6fTvHlzfv/993JPsCyrahCKY9IdO3ZkxIgRpfbxelkxMjLio48+okePHvLNZ/z48UBxAvrixYuEh4cTFBTElStXMDU1pVu3brLRKm8uQ0KtVtO0aVMD+bVWqyUtLY2bN2/Ke0xOTiYnJ0cOhVV114pnoR8y69ChQ7lnb5WE5PGamZnJN0b9eWLJycnk5eXJRlz6PvRFKVlZWVy/fp2WLVvi4eFRLqOSlJTEZ599hoODAydOnKgRebydnR1JSUny6+TkZOzs7Epc06pVKzQaDdnZ2WUugNb3mgoLC1m5ciWurq48fvyYcePGcerUKeB/xkj/e3Rzc8Pa2ppbt27Rrl27ip7qS0O9zUFlZGQwZswYea7Rjh07sLKy4ty5cwQFBckNH0NDQ/niiy8QQuDh4cGGDRvK9VRfVtUgwNSpU0lPT8fKyqrOGagXQQhBVlYWERERsggjMTEROzs7g67uVlZW5X7S1q8bcnFxkZ9Q9fM32dnZchGtfueH6lDyZWVlERMTg42NDW3atKmxPJhWq5VzWdnZ2Tx8+BAjIyO0Wq08EsPS0vKFfw86nY5NmzaxceNGAgMD6devX415TWXpBLF27VouX74siyR2797Njh07nvqs0pSFubm5fPDBB6jVaoyNjdm5cycAb731FuPHj2fChAlP/VspzJednY25uXmd8yr/RBFJ1CRlUQ0CnD9/nmXLlvH2229z7ty5em2gSkLqsC4VFEdERJCTkyMPfPT09KRLly5lyhtJI8RbtmxJq1atnnnzl4po9UUHUj5Lvz6rsgyIRqMhLi6OR48e0aFDh1pX2pCRkUFsbCxWVlYYGxuTm5v7VNPg5w3BvHXrFp999hkuLi4sXbq0XGKKyuZ5nSAeP36Mr68vkZGRWFlZsW3bNjkF8CRZWVlERUXRq1cvjIyMOH36NLt27ZI7j/z4448sXLiQrl27EhoaSnBwMKtXr65XOSY9FANVk5RFNajT6ejbty8hISGEhYUpBqqMaDQarly5IqsGL126hEqlomvXrrLRcnZ2lsMr9+/fJyUlBZ1Oh4uLS7nDd092OsjNzUWtVhuo5MpTjySFG6urGPhFeN749ZKGYDZu3Bhzc3PUajVmZmZYWVmxceNGNm3axDfffIO3t3etOsfy8mSN0r59+/j3v//Nnj17APD19SUpKYkjR45w7949vv76a4YMGUL//v25evUqq1ev5v3335fFRfWM+qfiq24qqhr87rvvGDJkCK1ataqyPdZFjI2NcXd3x93dnUmTJiGEIC8vT5a6L168mLi4OKytrWnSpAnR0dEEBwfTrVu3Ct0YJWNkbm4u/840Go3sYUntkPSbwj5rRpI0D0mtVuPh4VHrWviUZfy6iYkJJiYmsuhIEmHk5ORw9OhRVqxYQUZGBhYWFkyYMAFTU1MKCgpqNMdXUaSQnFqtJjk5mZiYGPr164ePjw/ff/89u3btYvTo0UybNo1hw4aRm5tLixYtsLGxYdu2bfTv3x9HR0fGjh1bX41TqSgeVDVRlhDf3/72N44fP45arSYvL4/CwkL8/PwICAiooV3XHS5evMikSZOws7PD0dGRCxcukJaWRvv27WUvq2vXrjRp0qTSn+ZLagorjZuQQoOpqakkJSWVex5SVSIVUkseZ3maCGu1Wn744Qe2bNlCYGAg1tbWREREEBERwbBhw/Dx8amCnVcvq1atYt26dfTv35/333+fnj17snfvXuLj4/Hz86NRo0ZMmTKFpk2bEhAQgEajwdbWlp07d+Lt7S1/Th3vuVcaSoivJpkxYwbW1taySOLBgwd8/fXXpa7fvHlzhUN8ZVEOXrx4kcmTJ5OTk4ORkRFz5sxh7Nix5T5mbWXbtm107NgRNzc3+T2tVktsbCxnzpzh7NmzXLhwgaKiItzc3GTVoKura6WLIfS9ioyMDNLS0jAyMsLKygpLS0u5Pqs2FAZXdPw6wM2bN/H396dLly4sXry42vJp1XH9S/fPL7/8kqioKNasWUPr1q1lOfmvv/7KuXPn+OqrrwA4c+YMP/74I5MnT6Zjx45cuXKF1157rfJO+uVFMVA1SVlVgxKVYaDKohyMjY1FpVLh5OTE3bt38fDwkMc01EcePXpEZGSkLMC4evUqTZo0MVANVkYjVp1OR2JiIunp6XTo0IGmTZvK0m6pKWxNDjmsjPHrWq2W9evXs3XrVlauXEnv3r2rYKelU1XX/5O5pry8PN577z2+//57bG1tZZm49LNBgwbx7bff4uXlRWxsLIGBgfj6+tK7d2/ZW6rDPfbKimKg6htlVQ7q06VLF3bt2lXqMLX6hhCCjIwMA6l7UlISrVu3lju6e3h4vJDEWpKOP6+FkpTPkozWw4cPadSokWywLCwsKj1PJYTg3r17JCYm0r59e7kLxYsSFxeHv78/np6eLFiwoEZUiFV5/ScnJ8t5x7i4OPz8/AgNDZWNk3RfValUBAcHc+PGDRYsWADAqVOn6NmzZyWcYZ1CMVD1jbIoB/U5e/YsH374IdHR0fX9ae6ZSIWzktT93Llz5Ofn4+rqKntZbm5uT+VqNBoNN27cID8/v9xzpCSVnGS49FsVWVhY0LRp03K3KpJGwzdq1Kjc49e1Wi3r1q1j+/btrFq1il69epVrL5VBVV7/kyZNwsvLi48//pjk5GTc3NyIjIzE3t7+qRzS6dOnOXHiBH5+fga/83qaayoNRcVXF6moclAiJSUFX19fgoODFeP0HNRqNY6Ojjg6OjJu3DigWH4dFRVFeHg4mzZt4vLlyxgbG8sDH7Oysjh16hRLly7FxcWl3Dem0lRy2dnZpKamEhcXZzAvShpF8rwarzt37pCcnIyzs3O5p9PGxMTg7+9Pjx49OHHiRLX0MKzu618yKt27d5fFLFZWVowaNYo9e/YwdepUeW14eDg5OTm4ubkxbdo0Pvnkk6f2pPBsFAP1klPRfoNQ3Fpp6NChLFq0iB49elTVVus0DRo0kMN9Uq/BnJwcQkNDmT9/Po8ePcLc3Bw/Pz954KOnp2eFO7iX1qpIGrtx69Yt8vLy5HyWpByU8lmPHj2S82zl6e8HxZ7h2rVr2bVrF2vXrq3Wa6gqr/+SPBzp9ePHj9m6dSs+Pj6YmJjg4ODAzZs3OXnyJL169eLBgwcsW7aM7t27M2DAACZOnIharVZyTS+IEuKrw5RFOVhYWMjgwYN55513+Pzzz2top3UTIQQ+Pj5MmjSJYcOGyZ6KfheMjIwMnJyc8PT0xMPDg65du1bJsMGioiKD0OCjR48QQlBUVIS9vT0tW7YsVz7r+vXr+Pv78+abbzJv3rxaVc9U3utf34g8evSIhg0bym2d1Gq1/Lvp0KEDCxYs4N133+Xq1avs2LGDn376iffff5/du3czYsQI5s+fX70n/fKi5KDqG2VRDoaEhPD3v//doN/Y5s2bcXd3L/NxqnsK6cvE8/IMWq3WYOBjZGQkQghZ6u7p6UmHDh0qNALjSfLz87l27RpmZmY0a9ZM9raKiork+iwpn1WaR6XRaFi1ahV79uzhu+++4/XXX6+0/VUWFb3+582bx9mzZ2nfvj2rVq0Cin9fOp2OBg0asGvXLhYsWCA3ty0oKODkyZPcvn1bLhyHp1V/CiWiGCiFyqemppDWVaSc0oULF+T5WTExMVhaWhoMfLSzsytXY9ZnjV8XQpCfn2/QukkIIXcxz8jIwNXVVVboeXt783//93/lKtytzSQnJzNq1CgcHByYOnUqvr6+jB8/nrlz58prsrOzMTMzY8aMGSQkJMjtjPTR6XTPzX0pyCgGSqHyqe4ppPURIQT379+XQ4Nnz57l7t27tG3bVjZY3bp1e2ana2n8urW1Ne3atSvzE71Wq5U9rJkzZxIVFUV2djZDhw7Fx8eH119/vc55w9Ik7Q0bNtCyZUv27NnDunXr2Lt3LyYmJmzYsIHTp0/TokULlixZwnvvvUenTp3o1KkTI0eOrOntv6yUeOEqfqdChShpCumdO3dKXaM/hVShbKhUKpo3b86wYcNYsGABhw4d4tKlS6xYsQJHR0cOHjzIqFGj6N27NxMnTmT9+vVcuHCBwsJCHj9+zObNm7l27Rqurq44Ojq+ULjJyMgIS0tLcnNzSUtLw9fXl6tXrzJ+/HhiY2NZuHBhlZ33gwcPGDBgAE5OTgwYMIDMzMxS1+bk5NCqVSs+/fTTCh/Xzc0NMzMzoqKigOKQaK9evTAxMeHy5cvk5OSwadMmGjVqRHp6Olu2bMHb25vw8HDluq5kFBVfPUWn0wEosfGXFLVajZOTE05OTvj6+gLFCf9Lly5x5swZ1q9fT0REBFlZWXh6emJiYoK1tfVzJedPUlRUxIoVKzhw4ABBQUF069YNAFtbWwYOHFgl5yYREBBAv379ZJFDQEBAqTPU5s6dW2mNVh0cHHB2dmbdunVotVrWrFnDtGnTAHB2dqZz587s37+f5ORkpk2bxvTp0+nduzedOnUqt0RfoWQUA1XPyMvLq9Q+b1U9hVSh7DRs2BAvLy+8vLz46quvSEpKYsuWLWRnZ3PmzBn27NlDQkKCPPlWKiq2trYuMTR4+fJl/P39GTx4MCdOnKj27up79+7lyJEjAHz44Yd4e3uXaKDOnz9PamqqPEOtMpg/fz52dnbExMSwf/9+HB0dAeR8m7e3tyxNlzw7xThVAUKIZ/1RqEPcuXNHTJgwQbRq1UoMHTpULF++XDx69KjU9Tqd7rmfWVRUJNq1ayfi4+NFQUGBcHNzE1euXDFYs2bNGjFp0iQhhBA//fSTePfddyt2In9y4MAB4ezsLBwdHcWSJUue+vny5cuFq6ur6Ny5s+jbt69ITEyslOO+DERGRgqtVvvU+zqdTiQmJort27eL6dOni969ews3NzcxevRoERAQIMLCwkRKSoqYM2eO6N69u4iMjKyB3RdjYWFhsG/91xJarVa89dZbIikpSWzatElMmTKlwseVvregoCAxZswY+X2NRiP//fbt22LGjBli7dq1FT6eghCiFBukeFD1APGn1PnYsWOYmJgQEhKCRqNhyZIlODs7M2zYsBL/XUlP1VJoUFInGRsbs2bNGgYNGiRPIe3UqZPBFNIJEybg6+tL+/bt5SmkFUWr1TJlyhQD9aCPj4+BerBr166cO3eOxo0bs27dOmbOnFlv1IOllQmoVCrs7e2xt7dnzJgxQLFkPDo6mvDwcLZt28b+/fsZPXo0x44dq3KvqTbOUJOiC926dePChQuEhoYyYMAAA8m9sbExU6dOlaMF4jnlBArlpDTLJRQPqs4gPRGOHj1afPPNN7LX1KNHD7Fy5UqDNRLLli0Tq1evLvMxyuJtVSanTp0SAwcOlF8vXrxYLF68uNT1Fy5cED179qyOrb30VPfvsjScnZ2T7wgkAAAJN0lEQVTF3bt3hRBC3L17Vzg7Oz+1Zty4caJ169bC3t5eWFtbi6ZNm4pZs2ZVyvEfPHggRo0aJXbt2vXM76S2fF8vOYoHVV9Rq9UIITh06BCzZs3CxMSEw4cPk5mZyaBBgwAMWv5v2rSJ/Px8OQmu0+k4fvw4ISEhJCUl0blzZ4YPH84bb7whP1VW99NjSerB8PDwUtdv3LiRwYMHV8fWXnpqiyfg4+NDcHAws2fPJjg4mOHDhz+15scff5T/Lo2oqawBn82aNWPJkiXP7WxeW76vuohioOoBQgj279+PEIJPP/0UU1NTWrduzbx583BxcZHXSf/R1q5dy4YNG+jcuTMAX331FYcPH+Zf//oXlpaWHD16lKCgIOzs7GjXrh379++nRYsWuLu7l6uXW1UTEhLCuXPnOHr0aE1vReEFmD17NmPGjGHjxo1yJwig1BlqVYFknIQSwqsZSnOthBLiqzPcvn1bzJw5UyxfvlwIIURsbKxISEgQQgiRlpZmsDYqKko4ODgIIYrDfn/88Ydo3ry5yMrKMli3f/9+8fDhQyGEEH369BFhYWFyqEOn0wmtVmuQVNanoKCgwudU1hBfaGio6NChg0hNTa3wMRUUFKqMEm2QUgRTD/j111+5d+8eb775JlD8VNi2bVtSU1P56aefGDVqFCtWrADg2LFjeHl5AZCQkMDOnTvx8/PDwsICnU4niySGDBmCqakpUVFRNGrUiH79+slPmCqVCrVabeBNabVatFotUPwE/M9//pOJEydy5cqVcp2Tl5cXcXFxJCQkUFhYyLZt2/Dx8TFYExkZyaRJk9i3b1+pnaxflIMHD+Li4kL79u2fGUr6+eefUalUlSZ7VlCojyghvnqAh4cH7du3l0N24s9whY2NDf7+/vj7+zN37lxu3bpFdHS0vO7GjRsUFBTwl7/8Bfifkkqr1WJkZERCQgIHDhxg7NixAFy9epXZs2fj5eVFeno6b7/9NoMHD0alUhkYq549e9KlSxdiY2PZvn17uZqhlkU9OGPGDPLy8nj33XcBaNOmDfv27Sv391gW5SAUtxVauXIl3bt3L/exFBQUFANVL3jyRvlkLD0gIABbW1vs7e1JTEzkr3/9K1AsPLh9+zbNmjUDiuXIDRo0kI3N7t270Wg0jB49GoAjR45w+/ZtPvroIy5dukRgYCD5+fmsXbuWZs2a8eWXX9K1a1eg+Gb/xx9/YGNjg7GxMcnJyUyfPl3OM5SFIUOGMGTIEIP39McbPGtWUHmQOls7ODgA8N5777F3796nDNTcuXOZNWsWy5Ytq9TjKyjUN5QQXz1ACsvpI4Tg/PnzfPLJJ/To0QM/Pz+g2Lt5+PAhAC4uLpibm3PlyhWEEDRo0IALFy5QUFAAwPHjx+nVqxcWFhZAcSjxH//4ByNHjuSDDz6gqKiIhIQEjhw5gpGREb///jsA+/btIygoCG9vb7l32uPHj2nRogVpaWlV/n2Ul7L0Hbxw4QJJSUkMHTq0urdX6yhrL73bt28zcOBAXF1d6dixI4mJidW7UYVai2Kg6gEltTXKyckhLCyM+Ph4Dh06xPHjxwHo27cvhw8fBorDaHPmzOGHH37A3d2dXr168fPPP9OoUSN2795N+/bteeONN4DidjONGzfmnXfeAWD79u2MHDmSDz/8EID09HQcHByIiYkhKCiII0eOcOnSJbKysgCwt7encePGnDx5Eig2oC8bOp2O6dOns3z58preSq1A6qUXFxdHv379Ss3ZjR8/nhkzZnDt2jXOnj1baflChTpAaeoJoaj46g2ZmZmyyi0xMVEcPHhQCGFYgKjT6URUVJRISUkRiYmJYty4ceLcuXNCCCHy8vLE3LlzxcKFC4UQxeq/vn37ivPnzwshhMjJyRGdO3cW6enp8ufdu3dPnD9/XuTl5cnv9ezZUxw6dKhqT7YCPE85mJWVJaytrYW9vb2wt7cXjRo1Era2tiIiIqImtlvjlKXQNjo6WvTq1au6t6ZQ+1AKdRUMkQpzLS0tgeKHFakNDvyveBeKvTBJPHH48GHs7Ozw8PAAiscR2NjYyLmuP/74g4SEBLp160ZBQQEHDx7E3d2dV155RT6mjY0NNjY2BvtJSkoymGxa29BXDtrZ2bFt2za2bt0q/9zCwoL79+/Lr729vQkMDMTT07MmtlvjpKamYmtrC0CLFi1ITU19ak1sbCyWlpaMHDmShIQE+vfvT0BAQK2sp1OofpQQXz3mydBfSYWIarXaYJ1Op2PgwIF8/fXXQLFRe/XVV5kyZYp8I27durUczomNjeX48ePPHc1w48YN1Gr1U53QaxP6ykFXV1fGjBkjKwcrog4sC2WRt+/YsYOOHTvSqVMnxo0bV6X7kejfvz+vvfbaU3/27t1rsK60XnoajYbjx48TGBhIREQE8fHxbN68uVr2rvASUJprJZQQn0IpPNm3T6fTldiPTFqXnp7+VKHvkwQFBYnhw4eX+Pn1HY1GIxwcHMTNmzfljvHR0dEGa2JjY4W7u7t48OCBEELUisLksoT4Tp8+Lfr06SO/3rJli/Dz86u2PSrUGpRCXYXKoSTPS//p+MlhiK+88oqs9NNHWnfu3Dni4uIYP368/HkK/0Nf3t6wYUNZ3q7P999/z5QpU+SSgNogNJB66QGl9tLz8vIiKyuL9PR0AH7//fenZPsK9RfFQClUOmUdhiitCwoK4s0335THfigGypCyyNtjY2OJjY2lV69e9OjRg4MHD1b3Np9i9uzZhIaG4uTkRFhYGLNnzwaKH0g+/vhjoHikfGBgIP369aNz584IIfjkk09qctsKtQhFJKFQoxQVFTF48GCGDx+uGKYKoNFoiIuL48iRIyQnJ9OnTx8uX74sC2BqAmtra3777ben3vf09DRo9DpgwACioqKqc2sKLwkq8RLWmygo1CdUKtUbwDwhxKA/X/8/ACHEEr01QUC4EGLTn69/A2YLISJqYMsKCpWCEuJTUKj9RABOKpWqnUqlagi8BzwpG9wDeAOoVKpXAGcgvjo3qaBQ2SgGSkGhliOE0ACfAoeAa8AOIUS0SqWar1KppBbuh4AMlUp1FfgDmCGEyKiZHSsoVA5KiE9BQUFBoVaieFAKCgoKCrUSxUApKCgoKNRKFAOloKCgoFAr+f9xSAwjT//8BwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Make data.\n", "P2 = np.linspace(-0.6, 0.6, 100) #np.arange(-0.6, 0.6, 0.25)\n", "P3 = np.linspace(-0.6, 0.6, 100) #np.arange(-0.6, 0.6, 0.25)\n", "P2, P3 = np.meshgrid(P2, P3)\n", "nr, nc = P2.shape\n", "P = np.concatenate((np.zeros([nr*nc,1]), P2.flatten().reshape(nr*nc,1), P3.flatten().reshape(nr*nc,1)), axis = 1)\n", "q = [-389.4, 761.3, 61.46, 414.1, -740.8, 0.]\n", "\n", "from pymcmcstat.MCMC import DataStructure\n", "data = DataStructure()\n", "data.add_data_set(\n", " x=P,\n", " y=None)\n", "Z = landau_energy(q, data)\n", "\n", "# Plot the surface.\n", "fig = plt.figure()\n", "ax = fig.gca(projection='3d')\n", "surf = ax.plot_surface(P2, P3, Z.reshape([nr,nc]), cmap=cm.coolwarm,\n", " linewidth=0, antialiased=False)\n", "plt.xlabel('$P_2 (C/m^2)$')\n", "plt.ylabel('$P_3 (C/m^2)$')\n", "ax.set_zlabel('$u (MPa)$')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# DFT Data\n", "We define a set of energy results based on a series of DFT calculations which correspond to specific polarization values." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "pdata = sio.loadmat('data_files/dft_polarization.mat')\n", "polarization = []\n", "for ii, pp in enumerate(pdata['polarization']):\n", " polarization.append(np.zeros([pp[0].shape[0], 3]))\n", " polarization[-1][:,1:] = pp[0]\n", " if ii == 0:\n", " polarization_array = polarization[-1]\n", " else:\n", " polarization_array = np.concatenate((polarization_array, polarization[-1]), axis = 0)\n", " \n", "\n", "edata = sio.loadmat('data_files/dft_energy.mat')\n", "energy = []\n", "for ii, ee in enumerate(edata['energy']):\n", " energy.append(np.zeros([ee[0].shape[0],1]))\n", " energy[-1][:,:] = ee[0]*1e3 # scale to MPa\n", " if ii == 0:\n", " energy_array = energy[-1]\n", " else:\n", " energy_array = np.concatenate((energy_array, energy[-1]), axis = 0)\n", "\n", "dft = dict(energy = energy, polarization = polarization)\n", "\n", "from pymcmcstat.MCMC import DataStructure\n", "data = DataStructure()\n", "data.add_data_set(\n", " x=polarization_array,\n", " y=energy_array)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the surface.\n", "fig = plt.figure()\n", "ax = fig.gca(projection='3d')\n", "for ii, (pp, ee) in enumerate(zip(dft['polarization'], dft['energy'])):\n", " ax.scatter(pp[:,1], pp[:,2], ee)\n", "plt.xlabel('$P_2 (C/m^2)$')\n", "plt.ylabel('$P_3 (C/m^2)$')\n", "ax.set_zlabel('$u (MPa)$')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# MCMC Simulation\n", "First we define our sum-of-squares function" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def ssfun(q, data):\n", " ud = data.ydata[0]\n", " um = landau_energy(q, data)\n", " ss = ((ud - um.reshape(ud.shape))**2).sum()\n", " return ss" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initialize MCMC Object\n", "We then initialize the MCMC object and define the components:\n", "\n", "- data structure\n", "- parameters\n", "- simulation options\n", "- model settings" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Initialize MCMC object\n", "mcstat = MCMC()\n", "# setup data structure for dram\n", "mcstat.data = data\n", "# setup model parameters\n", "mcstat.parameters.add_model_parameter(\n", " name = '$\\\\alpha_{1}$',\n", " theta0 = q[0],\n", " minimum = -1e8,\n", " maximum = 1e8,\n", ")\n", "mcstat.parameters.add_model_parameter(\n", " name = '$\\\\alpha_{11}$',\n", " theta0 = q[1],\n", " minimum = -1e8,\n", " maximum = 1e8,\n", ")\n", "mcstat.parameters.add_model_parameter(\n", " name='$\\\\alpha_{111}$',\n", " theta0=q[2],\n", " minimum=-1e8,\n", " maximum=1e8\n", ")\n", "mcstat.parameters.add_model_parameter(\n", " name='$\\\\alpha_{12}$',\n", " theta0=q[3],\n", " minimum=-1e8,\n", " maximum=1e8\n", ")\n", "mcstat.parameters.add_model_parameter(\n", " name='$\\\\alpha_{112}$',\n", " theta0=q[4],\n", " minimum=-1e8,\n", " maximum=1e8\n", ")\n", "mcstat.parameters.add_model_parameter(\n", " name='$\\\\alpha_{123}$',\n", " theta0=q[5],\n", " sample=False, # do not sample this parameter\n", ")\n", "\n", "# define simulation options\n", "mcstat.simulation_options.define_simulation_options(\n", " nsimu=int(5e5),\n", " updatesigma=True,\n", " method='dram',\n", " adaptint=100,\n", " verbosity=1,\n", " waitbar=1,\n", " save_to_json=False,\n", " save_to_bin=False,\n", ")\n", "\n", "# define model settings\n", "mcstat.model_settings.define_model_settings(\n", " sos_function=ssfun,\n", " N0=1,\n", " N=polarization_array.shape[0],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run MCMC Simulation & Display Stats" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Sampling these parameters:\n", " name start [ min, max] N( mu, sigma^2)\n", "$\\alpha_{1}$: -389.40 [-1.00e+08, 1.00e+08] N( 0.00e+00, inf)\n", "$\\alpha_{11}$: 761.30 [-1.00e+08, 1.00e+08] N( 0.00e+00, inf)\n", "$\\alpha_{111}$: 61.46 [-1.00e+08, 1.00e+08] N( 0.00e+00, inf)\n", "$\\alpha_{12}$: 414.10 [-1.00e+08, 1.00e+08] N( 0.00e+00, inf)\n", "$\\alpha_{112}$: -740.80 [-1.00e+08, 1.00e+08] N( 0.00e+00, inf)\n", " [-----------------100%-----------------] 500000 of 500000 complete in 160.7 sec\n", "\n", "------------------------------\n", "name : mean std MC_err tau geweke\n", "$\\alpha_{1}$: -389.5631 10.4509 0.0648 15.0261 0.9988\n", "$\\alpha_{11}$: 761.8230 29.7163 0.1802 15.0847 0.9984\n", "$\\alpha_{111}$: 61.0935 19.7314 0.1208 15.0602 0.9870\n", "$\\alpha_{12}$: 417.6627 234.9318 1.9808 15.1510 0.9923\n", "$\\alpha_{112}$: -750.1199 483.1510 4.0916 15.2658 0.9892\n", "------------------------------\n", "==============================\n", "Acceptance rate information\n", "---------------\n", "Results dictionary:\n", "Stage 1: 28.08%\n", "Stage 2: 53.11%\n", "Net : 81.19% -> 405967/500000\n", "---------------\n", "Chain provided:\n", "Net : 81.10% -> 202742/250000\n", "---------------\n", "Note, the net acceptance rate from the results dictionary\n", "may be different if you only provided a subset of the chain,\n", "e.g., removed the first part for burnin-in.\n", "------------------------------\n", "Acceptance rate: 81.19%\n", "Model Evaluations: 859590\n" ] } ], "source": [ "# Run mcmcrun\n", "mcstat.run_simulation()\n", "\n", "results = mcstat.simulation_results.results\n", "# specify burnin period\n", "burnin = int(results['nsimu']/2)\n", "# display chain statistics\n", "chain = results['chain']\n", "s2chain = results['s2chain']\n", "sschain = results['sschain']\n", "names = results['names']\n", "mcstat.chainstats(chain[burnin:,:], results)\n", "print('Acceptance rate: {:6.4}%'.format(100*(1 - results['total_rejected'])))\n", "print('Model Evaluations: {}'.format(results['nsimu'] - results['iacce'][0] + results['nsimu']))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot MCMC Diagnostics" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# generate mcmc plots\n", "mcp.plot_density_panel(chain[burnin:,:], names)\n", "mcp.plot_chain_panel(chain[burnin:,:], names)\n", "f = mcp.plot_pairwise_correlation_panel(chain[burnin:,:], names)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Generate Credible/Prediction Intervals" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [-----------------100%-----------------] 500 of 500 complete in 0.0 sec" ] } ], "source": [ "%matplotlib notebook\n", "from pymcmcstat import propagation as up\n", "\n", "pdata = []\n", "intervals = []\n", "for ii in range(len(polarization)):\n", " pdata.append(DataStructure())\n", " pdata[ii].add_data_set(polarization[ii], energy[ii])\n", " intervals.append(up.calculate_intervals(chain, results, pdata[ii],\n", " landau_energy,\n", " s2chain=s2chain,\n", " nsample=500, waitbar=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Plot 3-D Credible/Prediction Intervals" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "/* Put everything inside the global mpl namespace */\n", "window.mpl = {};\n", "\n", "\n", "mpl.get_websocket_type = function() {\n", " if (typeof(WebSocket) !== 'undefined') {\n", " return WebSocket;\n", " } else if (typeof(MozWebSocket) !== 'undefined') {\n", " return MozWebSocket;\n", " } else {\n", " alert('Your browser does not have WebSocket support. ' +\n", " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", " 'Firefox 4 and 5 are also supported but you ' +\n", " 'have to enable WebSockets in about:config.');\n", " };\n", "}\n", "\n", "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", " this.id = figure_id;\n", "\n", " this.ws = websocket;\n", "\n", " this.supports_binary = (this.ws.binaryType != undefined);\n", "\n", " if (!this.supports_binary) {\n", " var warnings = document.getElementById(\"mpl-warnings\");\n", " if (warnings) {\n", " warnings.style.display = 'block';\n", " warnings.textContent = (\n", " \"This browser does not support binary websocket messages. \" +\n", " \"Performance may be slow.\");\n", " }\n", " }\n", "\n", " this.imageObj = new Image();\n", "\n", " this.context = undefined;\n", " this.message = undefined;\n", " this.canvas = undefined;\n", " this.rubberband_canvas = undefined;\n", " this.rubberband_context = undefined;\n", " this.format_dropdown = undefined;\n", "\n", " this.image_mode = 'full';\n", "\n", " this.root = $('
');\n", " this._root_extra_style(this.root)\n", " this.root.attr('style', 'display: inline-block');\n", "\n", " $(parent_element).append(this.root);\n", "\n", " this._init_header(this);\n", " this._init_canvas(this);\n", " this._init_toolbar(this);\n", "\n", " var fig = this;\n", "\n", " this.waiting = false;\n", "\n", " this.ws.onopen = function () {\n", " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", " fig.send_message(\"send_image_mode\", {});\n", " if (mpl.ratio != 1) {\n", " fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n", " }\n", " fig.send_message(\"refresh\", {});\n", " }\n", "\n", " this.imageObj.onload = function() {\n", " if (fig.image_mode == 'full') {\n", " // Full images could contain transparency (where diff images\n", " // almost always do), so we need to clear the canvas so that\n", " // there is no ghosting.\n", " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", " }\n", " fig.context.drawImage(fig.imageObj, 0, 0);\n", " };\n", "\n", " this.imageObj.onunload = function() {\n", " fig.ws.close();\n", " }\n", "\n", " this.ws.onmessage = this._make_on_message_function(this);\n", "\n", " this.ondownload = ondownload;\n", "}\n", "\n", "mpl.figure.prototype._init_header = function() {\n", " var titlebar = $(\n", " '
');\n", " var titletext = $(\n", " '
');\n", " titlebar.append(titletext)\n", " this.root.append(titlebar);\n", " this.header = titletext[0];\n", "}\n", "\n", "\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "\n", "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", "\n", "}\n", "\n", "mpl.figure.prototype._init_canvas = function() {\n", " var fig = this;\n", "\n", " var canvas_div = $('
');\n", "\n", " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", "\n", " function canvas_keyboard_event(event) {\n", " return fig.key_event(event, event['data']);\n", " }\n", "\n", " canvas_div.keydown('key_press', canvas_keyboard_event);\n", " canvas_div.keyup('key_release', canvas_keyboard_event);\n", " this.canvas_div = canvas_div\n", " this._canvas_extra_style(canvas_div)\n", " this.root.append(canvas_div);\n", "\n", " var canvas = $('');\n", " canvas.addClass('mpl-canvas');\n", " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", "\n", " this.canvas = canvas[0];\n", " this.context = canvas[0].getContext(\"2d\");\n", "\n", " var backingStore = this.context.backingStorePixelRatio ||\n", "\tthis.context.webkitBackingStorePixelRatio ||\n", "\tthis.context.mozBackingStorePixelRatio ||\n", "\tthis.context.msBackingStorePixelRatio ||\n", "\tthis.context.oBackingStorePixelRatio ||\n", "\tthis.context.backingStorePixelRatio || 1;\n", "\n", " mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n", "\n", " var rubberband = $('');\n", " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", "\n", " var pass_mouse_events = true;\n", "\n", " canvas_div.resizable({\n", " start: function(event, ui) {\n", " pass_mouse_events = false;\n", " },\n", " resize: function(event, ui) {\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " stop: function(event, ui) {\n", " pass_mouse_events = true;\n", " fig.request_resize(ui.size.width, ui.size.height);\n", " },\n", " });\n", "\n", " function mouse_event_fn(event) {\n", " if (pass_mouse_events)\n", " return fig.mouse_event(event, event['data']);\n", " }\n", "\n", " rubberband.mousedown('button_press', mouse_event_fn);\n", " rubberband.mouseup('button_release', mouse_event_fn);\n", " // Throttle sequential mouse events to 1 every 20ms.\n", " rubberband.mousemove('motion_notify', mouse_event_fn);\n", "\n", " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", "\n", " canvas_div.on(\"wheel\", function (event) {\n", " event = event.originalEvent;\n", " event['data'] = 'scroll'\n", " if (event.deltaY < 0) {\n", " event.step = 1;\n", " } else {\n", " event.step = -1;\n", " }\n", " mouse_event_fn(event);\n", " });\n", "\n", " canvas_div.append(canvas);\n", " canvas_div.append(rubberband);\n", "\n", " this.rubberband = rubberband;\n", " this.rubberband_canvas = rubberband[0];\n", " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", " this.rubberband_context.strokeStyle = \"#000000\";\n", "\n", " this._resize_canvas = function(width, height) {\n", " // Keep the size of the canvas, canvas container, and rubber band\n", " // canvas in synch.\n", " canvas_div.css('width', width)\n", " canvas_div.css('height', height)\n", "\n", " canvas.attr('width', width * mpl.ratio);\n", " canvas.attr('height', height * mpl.ratio);\n", " canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n", "\n", " rubberband.attr('width', width);\n", " rubberband.attr('height', height);\n", " }\n", "\n", " // Set the figure to an initial 600x600px, this will subsequently be updated\n", " // upon first draw.\n", " this._resize_canvas(600, 600);\n", "\n", " // Disable right mouse context menu.\n", " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", " return false;\n", " });\n", "\n", " function set_focus () {\n", " canvas.focus();\n", " canvas_div.focus();\n", " }\n", "\n", " window.setTimeout(set_focus, 100);\n", "}\n", "\n", "mpl.figure.prototype._init_toolbar = function() {\n", " var fig = this;\n", "\n", " var nav_element = $('
');\n", " nav_element.attr('style', 'width: 100%');\n", " this.root.append(nav_element);\n", "\n", " // Define a callback function for later on.\n", " function toolbar_event(event) {\n", " return fig.toolbar_button_onclick(event['data']);\n", " }\n", " function toolbar_mouse_event(event) {\n", " return fig.toolbar_button_onmouseover(event['data']);\n", " }\n", "\n", " for(var toolbar_ind in mpl.toolbar_items) {\n", " var name = mpl.toolbar_items[toolbar_ind][0];\n", " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", " var image = mpl.toolbar_items[toolbar_ind][2];\n", " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", "\n", " if (!name) {\n", " // put a spacer in here.\n", " continue;\n", " }\n", " var button = $('');\n", " button.click(method_name, toolbar_event);\n", " button.mouseover(tooltip, toolbar_mouse_event);\n", " nav_element.append(button);\n", " }\n", "\n", " // Add the status bar.\n", " var status_bar = $('');\n", " nav_element.append(status_bar);\n", " this.message = status_bar[0];\n", "\n", " // Add the close button to the window.\n", " var buttongrp = $('
');\n", " var button = $('');\n", " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", " button.mouseover('Stop Interaction', toolbar_mouse_event);\n", " buttongrp.append(button);\n", " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", " titlebar.prepend(buttongrp);\n", "}\n", "\n", "mpl.figure.prototype._root_extra_style = function(el){\n", " var fig = this\n", " el.on(\"remove\", function(){\n", "\tfig.close_ws(fig, {});\n", " });\n", "}\n", "\n", "mpl.figure.prototype._canvas_extra_style = function(el){\n", " // this is important to make the div 'focusable\n", " el.attr('tabindex', 0)\n", " // reach out to IPython and tell the keyboard manager to turn it's self\n", " // off when our div gets focus\n", "\n", " // location in version 3\n", " if (IPython.notebook.keyboard_manager) {\n", " IPython.notebook.keyboard_manager.register_events(el);\n", " }\n", " else {\n", " // location in version 2\n", " IPython.keyboard_manager.register_events(el);\n", " }\n", "\n", "}\n", "\n", "mpl.figure.prototype._key_event_extra = function(event, name) {\n", " var manager = IPython.notebook.keyboard_manager;\n", " if (!manager)\n", " manager = IPython.keyboard_manager;\n", "\n", " // Check for shift+enter\n", " if (event.shiftKey && event.which == 13) {\n", " this.canvas_div.blur();\n", " event.shiftKey = false;\n", " // Send a \"J\" for go to next cell\n", " event.which = 74;\n", " event.keyCode = 74;\n", " manager.command_mode();\n", " manager.handle_keydown(event);\n", " }\n", "}\n", "\n", "mpl.figure.prototype.handle_save = function(fig, msg) {\n", " fig.ondownload(fig, null);\n", "}\n", "\n", "\n", "mpl.find_output_cell = function(html_output) {\n", " // Return the cell and output element which can be found *uniquely* in the notebook.\n", " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", " // IPython event is triggered only after the cells have been serialised, which for\n", " // our purposes (turning an active figure into a static one), is too late.\n", " var cells = IPython.notebook.get_cells();\n", " var ncells = cells.length;\n", " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", " data = data.data;\n", " }\n", " if (data['text/html'] == html_output) {\n", " return [cell, data, j];\n", " }\n", " }\n", " }\n", " }\n", "}\n", "\n", "// Register the function which deals with the matplotlib target/channel.\n", "// The kernel may be null if the page has been refreshed.\n", "if (IPython.notebook.kernel != null) {\n", " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", "}\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ii = 0\n", "fig, ax = up.plot_intervals(intervals[ii],\n", " np.linalg.norm(pdata[ii].xdata[0][:, 1::], axis=1),\n", " pdata[ii].ydata[0],\n", " limits=[95],\n", " adddata=True, addprediction=True, addcredible=True,\n", " addlegend=True, data_display=dict(marker='o', mfc='none'),\n", " figsize=(6, 4))\n", "ax.set_title(str('Set {}'.format(ii + 1)))\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's display them all statically for the sake of brevity." ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "for ii in range(len(polarization)):\n", " fig, ax = up.plot_intervals(intervals[ii],\n", " np.linalg.norm(pdata[ii].xdata[0][:, 1::], axis=1),\n", " pdata[ii].ydata[0],\n", " limits=[95],\n", " adddata=True, addprediction=True, addcredible=True,\n", " addlegend=True, data_display=dict(marker='o', mfc='none'),\n", " figsize=(6, 4))\n", " ax.set_title(str('Set {}'.format(ii + 1)))\n", " fig.tight_layout()" ] } ], "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": "3.6.8" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": true, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }