Generate Rings.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9bb606cd",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "575432a9",
   "metadata": {},
   "outputs": [],
   "source": [
    "def zRot(theta):\n",
    "    rotmat = np.array(\n",
    "        [ \n",
    "            np.cos(theta),\n",
    "            np.sin(theta),\n",
    "            0, \n",
    "            -np.sin(theta),\n",
    "            np.cos(theta),\n",
    "            0, \n",
    "            0,\n",
    "            0,\n",
    "            1\n",
    "        ]\n",
    "    ).reshape(3,3)\n",
    "    return rotmat\n",
    "\n",
    "def yRot(theta):\n",
    "    rotmat = np.array(\n",
    "        [\n",
    "            np.cos(theta),\n",
    "            0,\n",
    "            np.sin(theta),\n",
    "            0,\n",
    "            1,\n",
    "            0,\n",
    "            -np.sin(theta),\n",
    "            0,\n",
    "            np.cos(theta)\n",
    "        ]\n",
    "    ).reshape(3,3)\n",
    "    \n",
    "    return rotmat\n",
    "\n",
    "def xRot(theta):\n",
    "    rotmat = np.array(\n",
    "        [\n",
    "            1,\n",
    "            0,\n",
    "            0,\n",
    "            np.cos(theta),\n",
    "            np.sin(theta),\n",
    "            0, \n",
    "            -np.sin(theta), \n",
    "            np.cos(theta),\n",
    "            0\n",
    "        ]\n",
    "    ).reshape(3,3)\n",
    "    \n",
    "    return rotmat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "57cd169d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1 0 0]\n"
     ]
    }
   ],
   "source": [
    "plane=0\n",
    "oxygen_shift = np.array([0,0,0])\n",
    "oxygen_shift[plane] = 1\n",
    "print(oxygen_shift)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "993a80c4",
   "metadata": {},
   "outputs": [],
   "source": [
    "def ringMaker(d, N, rotmat,oxygen_positions=[],plane=0 , xshift = False, yshift = False, zshift = False):\n",
    "    \"\"\" function to make rings of a specified size\n",
    "    parameters:\n",
    "    d: float\n",
    "        the distance between nodes of the ring\n",
    "    rotmat: func\n",
    "        the rotation matrix function to implement (axis orthogonal to plane of \n",
    "        ring)\n",
    "    shifts: bool\n",
    "        shifts the ring by its radius in the positive direction\n",
    "    plots: bool\n",
    "        plot the 2d ring positions\n",
    "    write: bool\n",
    "        write the ring positions into an xyz file\n",
    "    fname: str\n",
    "        name of the file output. SHOULD INCLUDE THE FILENAME EXTENSION (.xyz) \n",
    "    plane describes th eplane that the ring is on (0 for yz, 1 fo xz and 2 xy)\n",
    "    \"\"\"\n",
    "    # distance between clusters\n",
    "    # angle between clusters:\n",
    "    theta = 2*np.pi/N\n",
    "    # radius of each ring:\n",
    "    r = N*d/(2*np.pi)\n",
    "    n_oxygen = len(oxygen_positions)\n",
    "    p = np.zeros((N+2*n_oxygen, 3)) #accounting for hydrogens too\n",
    "    p[:, :] = [-r, 0, 0]\n",
    "    \n",
    "    oxygen_shift = [0,0,0]\n",
    "    oxygen_shift[plane] = d\n",
    "    hydrogen_shift = [0,0,0]\n",
    "    hydrogen_shift[plane]=2*d\n",
    "    # calc angles to rotate initial ring position about the given axis\n",
    "    angles = np.arange(0, N)*theta\n",
    "\n",
    "    # iterate through all nodes and generate positions by rotation\n",
    "    for i in range(N):\n",
    "        theta_i = angles[i]\n",
    "        rot = rotmat(theta_i)\n",
    "        p[i, :] = np.dot(rot, p[i, :])\n",
    "    for i in range(n_oxygen):\n",
    "        oxygen_ind = i+N\n",
    "        p[oxygen_ind,:] = p[oxygen_positions[i],:] + oxygen_shift\n",
    "    for i in range(n_oxygen):\n",
    "        hydrogen_ind = i+N+ n_oxygen\n",
    "        p[hydrogen_ind,:] = p[oxygen_positions[i],:] + hydrogen_shift\n",
    "    # translate the ring by shift\n",
    "    if xshift:\n",
    "        p[:, :] += [xshift, 0, 0]\n",
    "    if yshift:\n",
    "        p[:, :] += [0, yshift, 0]\n",
    "    if yshift:\n",
    "        p[:, :] += [0, 0, zshift ]\n",
    "    return p,r\n",
    "\n",
    "def visualize_ring(p,xyPlot=False,yzPlot=False,xzPlot=False):\n",
    "    if xyPlot:\n",
    "        # plot the xy dimensions of the large ring\n",
    "        plt.scatter(p[:, 0], p[:, 1])\n",
    "        plt.ylabel(\"y-axis\")\n",
    "        plt.xlabel(\"x-axis\")\n",
    "        plt.title(\"Position of nodes\")\n",
    "        plt.show()\n",
    "        plt.close()\n",
    "\n",
    "    if yzPlot:\n",
    "        # plot the xy dimensions of the large ring\n",
    "        plt.scatter(p[:, 1], p[:, 2])\n",
    "        plt.ylabel(\"y-axis\")\n",
    "        plt.xlabel(\"z-axis\")\n",
    "        plt.title(\"Position of nodes\")\n",
    "        plt.show()\n",
    "        plt.close()\n",
    "\n",
    "    if xzPlot:\n",
    "        # plot the xy dimensions of the large ring\n",
    "        plt.scatter(p[:, 0], p[:, 2])\n",
    "        plt.ylabel(\"y-axis\")\n",
    "        plt.xlabel(\"z-axis\")\n",
    "        plt.title(\"Position of nodes\")\n",
    "        plt.show()\n",
    "        plt.close()\n",
    "\n",
    "\n",
    "def visualize_rings(rings,xyPlot=False,yzPlot=False,xzPlot=False):\n",
    "    plt.figure()\n",
    "    ax = plt.axes(projection='3d')\n",
    "    for ring in rings:\n",
    "        ax.scatter3D(ring[:,0], ring[:,1],ring[:,2], cmap='Greens')\n",
    "        ax.plot3D(ring[:,0], ring[:,1],ring[:,2])\n",
    "    ax.set_xlabel('x')\n",
    "    ax.set_ylabel('y')\n",
    "    ax.set_zlabel('z')\n",
    "    ##ax.set_xlim([-30,30])\n",
    "    #ax.set_ylim([-30,30])\n",
    "    #ax.set_zlim([-30,30])\n",
    "    ax.set_title(\"Initial positions of Catenane Molecules\")\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1cf387be",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib widget\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "58181b33",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.2, 0, 0]\n",
      "[[-1.59154943e-01 -1.59154943e-01  0.00000000e+00]\n",
      " [-1.59154943e-01 -1.28759054e-01  9.35489284e-02]\n",
      " [-1.59154943e-01 -4.91815822e-02  1.51365346e-01]\n",
      " [-1.59154943e-01  4.91815822e-02  1.51365346e-01]\n",
      " [-1.59154943e-01  1.28759054e-01  9.35489284e-02]\n",
      " [-1.59154943e-01  1.59154943e-01  1.94908592e-17]\n",
      " [-1.59154943e-01  1.28759054e-01 -9.35489284e-02]\n",
      " [-1.59154943e-01  4.91815822e-02 -1.51365346e-01]\n",
      " [-1.59154943e-01 -4.91815822e-02 -1.51365346e-01]\n",
      " [-1.59154943e-01 -1.28759054e-01 -9.35489284e-02]\n",
      " [-5.91549431e-02 -1.28759054e-01  9.35489284e-02]\n",
      " [-5.91549431e-02 -4.91815822e-02  1.51365346e-01]\n",
      " [-5.91549431e-02  4.91815822e-02  1.51365346e-01]\n",
      " [ 4.08450569e-02 -1.28759054e-01  9.35489284e-02]\n",
      " [ 4.08450569e-02 -4.91815822e-02  1.51365346e-01]\n",
      " [ 4.08450569e-02  4.91815822e-02  1.51365346e-01]]\n"
     ]
    },
    {
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       "model_id": "c6cd34ab80e14297abe022e30254f546",
       "version_major": 2,
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dLTweanE2f3NwhBc+/I05Pj4eJ06cAMdxTsJrcHAQNpsNCQkJwmO7d+/G7t27YTabcfz4cTz00EO49tprkZOTg+Li4pDWGuha/CUhIQH79+/H/v370dnZif/85z+4++67MTg4iPfee8/tPrGxsRCJROjr65vyt97eXuG4gbJr1y68//77eOutt3DNNdd43XZ0dBRvv/027r33Xtx9993C42azeYpo8wS/xieffNJjd7a7HwnemI73akJCAiIiIjzWugZ6rW+66SZ885vfBMuyePbZZz1uFx8fH9RrHBsbK0SDv//977vdJjc3FwCQmJiI7u5ur+vlf2C6Njr5I3z5Nf7zn/90ej3ckZ2djRdffBEA0NjYiL///e+47777YLFY8Nxzz/k8F0EEC0UAiQWFa+TEG7zYcWwg4Dgu5LEV4+Pj+M9//uP02F//+leIRCJs27YNALBjxw7o9fopw4tffvll4e+uyOVybN++XSi0d+02dN0W8O86BLOWQMjKysJtt92Giy++GGfPnvW4XVRUFDZt2oTXX3/dad0sy+KVV15BRkYGFi9eHPD5b775ZqSkpOAnP/mJxxT666+/DmDyPcFx3JSmkv/93/+d0sXt6Rpv2bIFMTExqK2txfr1693+k8lkAT2H6XivfvnLX0ZLSwvi4+PdrjHQ2YZ79uzBnj17cNNNN3kdS7Rjxw589NFHguDjefnllxEZGelx38jISFxwwQUoKyvDypUr3a6Z/4F16aWXorGx0WuzFP/8KisrnR53/ey6Y9euXZBIJGhpafH4Grtj8eLF+MUvfoEVK1Z4/SwQRDigCCCxoFi+fDkA4IUXXoBSqYRCoUBubq7blNjFF18MmUyGr3/96/jJT34Ck8mEZ599NuCBwK7Ex8fje9/7Hjo7O7F48WK88847+OMf/4jvfe97yMrKAgBcf/31ePrpp3HDDTegvb0dK1aswNGjR/Hb3/4Wl112mVC79Ktf/Qrd3d3YsWMHMjIyMDIygscffxxSqRTbt2/3uIYVK1YAAB5//HHccMMNkEqlWLJkiVPtHo+/a/GX0dFRXHDBBbj22muxdOlSKJVKnDp1Cu+99x6++tWvet33oYcewsUXX4wLLrgAP/7xjyGTyfDMM8+guroar776alBuDGq1Gv/+97/x5S9/GWvWrHEaBN3U1IRXXnkFFRUV+OpXvwqVSoVt27bh0UcfRUJCAnJycnD48GG8+OKLUwZqe3uvPfnkk7jhhhug1Wpx1VVXISkpCUNDQ6ioqMDQ0JDXCJk7puO9escdd+Bf//oXtm3bhh/96EdYuXIlWJZFZ2cn3n//fdx1113YtGmT38dTKBR+zVO899578fbbb+OCCy7Ar371K8TFxeEvf/kL/vvf/+KRRx6BWq32uO/jjz+O8847D1u3bsX3vvc95OTkYHx8HM3NzXjrrbcEwXfHHXfgtddew+7du3H33Xdj48aNMBqNOHz4ML785S/jggsuQEpKCi666CI89NBDiI2NRXZ2Nj788EPhx4A3cnJy8MADD+DnP/85WltbcckllyA2NhYDAwM4efIkoqKicP/996OyshK33XYbvva1r6GgoAAymQwfffQRKisrnSLMBDEtzF7/CUH4xlMXMN9d6IhrJx7HTe0C5jiO279/P5ebm8uJxWKnbj53nbxvvfUWt2rVKk6hUHDp6enc//zP/3DvvvvulO7AQLqAi4qKuE8++YRbv349J5fLudTUVO5nP/sZZ7VanbbVaDTcrbfeyqWmpnISiYTLzs7m7rnnHs5kMgnbvP3229yll17KpaenczKZjEtKSuIuu+wy7siRI8I27roWOY7j7rnnHi4tLY0TiUROz8e1C9jftXDc5PX+/ve/P+V5Z2dnczfccAPHcRxnMpm4W2+9lVu5ciWnUqm4iIgIbsmSJdy9997LGQwGn9fwyJEj3IUXXshFRUVxERER3ObNm7m33nrLaZtAuoB5+vv7uZ/+9KdcUVERFxkZycnlcm7RokXcd7/7Xa6qqkrYrru7m7vyyiu52NhYTqlUcpdccglXXV3t9Bx5PL3XOI7jDh8+zH3pS1/i4uLiOKlUyqWnp3Nf+tKXuH/84x/CNvx7emhoyOm4/OfCsYvb3/cq/x50xd17WK/Xc7/4xS+4JUuWcDKZjFOr1dyKFSu4H/3oR1x/f7/X6+npc+qIuy5gjuO4qqoq7vLLL+fUajUnk8m4VatWTXn/enpft7W1cTfddBOXnp7OSaVSLjExkSspKeEefPBBp+10Oh13++23c1lZWZxUKuWSkpK4L33pS1x9fb2wTV9fH3fVVVdxcXFxnFqt5r75zW9yp0+f9tkFzPPmm29yF1xwAadSqTi5XM5lZ2dzV111FffBBx9wHMdxAwMD3I033sgtXbqUi4qK4qKjo7mVK1dyf/jDHzibzeb12hFEqDAcx3EzrjoJYoFy/vnnY3h4GNXV1bO9FIIgCGIBQzWABEEQBEEQCwwSgARBEARBEAsMSgETBEEQBEEsMCgCSBAEQRAEscAgAUgQBEEQBLHAIAFIEARBEASxwCABSBAEQRAEscAgAUgQBEEQBLHAIAFIEARBEASxwCABSBAEQRAEscAgAUgQBEEQBLHAIAFIEARBEASxwCABSBAEQRAEscAgAUgQBEEQBLHAIAFIEARBEASxwCABSBAEQRAEscAgAUgQBEEQBLHAIAFIEARBEASxwCABSBAEQRAEscAgAUgQBEEQBLHAIAFIEARBEASxwCABSBAEQRAEscAgAUgQBEEQBLHAIAFIEARBEASxwCABSBAEQRAEscAgAUgQBEEQBLHAIAFIEARBEASxwCABSBAEQRAEscAgAUgQBEEQBLHAIAFIEARBEASxwCABSBAEQRAEscAgAUgQBEEQBLHAIAFIEARBEASxwCABSBAEQRAEscAgAUgQBEEQBLHAkMz2AgiCIDiOg91uBwCIxWIwDDPLKyIIgji3IQFIEMSswrIsrFYrjEYjOI6DSCSCVCqFWCyGRCKBSCQiQUgQBBFmGI7juNleBEEQCw8+6mez2QQRyH8dsSwLAGAYRhCEEokEYrGYBCFBEEQYIAFIEMSMw3EcrFarkPZlGAYWi0X4//w2/D8ShARBEOGFBCBBEDMKy7KwWCxgWVYQbxzHTRGArngShHyqmAQhQRCE/5AAJAhiRuBTvnyq11Go8RFBjuP8Fm+OgpD/JxKJIBKJSBASBEH4gAQgQRDTDsuysNlsTilfR1EWjAB0xTU62NLSgpSUFKhUKhKEBEEQLlAXMEEQ0wYvyBzF3XSJL/7YItHkeFOdTof4+Hih0YT/O58y5v93OtdEEAQxVyEBSBDEtMBxHAwGA2w2G+Ry+YwLLf58EolEWA/HcbDZbLBarVMEIS8KSRASBLEQIAFIEETY4aN+zc3N4DgOy5Ytm5V1OFa4uEYIvQlCfg4hnzImCII41yABSBBE2HCd7ScSiYS6v7mGL0EIYEpDCQlCgiDOFUgAEgQRFlxn+zmOePHFwMAA6urqoFAoEBsbi9jYWKhUKojF4qDXE2ga15MgtFqtwogaEoQEQZwrkAAkCCJk3M32A+BTANrtdjQ0NKC3txeLFi0Cx3EYGRlBb28vbDYb1Go1YmJiEBcXB6VSGbDYCmXIgTtByKe2+QghX2NIgpAgiPkGCUCCIILG22w/YFIg8WNZXNHr9aioqIBIJEJxcTGkUik4jkN6ejo4jsPExAR0Oh10Oh26u7vBsizUarUQIVQqlTPeVOIYkfRHEPJdxgRBEHMNEoAEQQSFp5SvI54igD09PaitrUVmZiYWL14MhmGmjIqJiopCVFQUMjIyhI5iXhB2dHQAAGJiYgRBGBUVNUV8TifeBKHFYhGih+66jAmCIGYbEoAEQQQMH/VzTfm6IhKJnASgzWZDbW0thoaGsHr1aiQmJgLwnaplGAbR0dGIjo5GZmYmOI7D+Pg4dDodNBoNWltbIRKJnAQhX8M3U/grCF1TxiQICYKYDcgJhCAIv+G7ZG02G4Cpjh6utLe3Q6fTYc2aNRgbG0N5eTkUCgVWrlwJhULhdFxHQRkoLMtifHwcWq0WOp0OY2Nj4DgOKpUKqampiI2NRUREROBPOEzwX7MsywrClAQhQRCzCQlAgiD8go9m8TV9/gxMbm9vh0ajQUJCAhobG5Gbm4v8/Pwp+4UqAF2x2+04deoUoqKiYLFYMDY2BrlcjtjYWCFK6ChAZxpXQTgwMAC73Y6MjAwShARBzAiUAiYIwiuOqUxfKV93+46OjmJsbAzr1q1DXFzcNK92Er7uLikpCcnJybDZbBgdHRUaSurq6hARESGki2NjYyGTyWZkbcAX9Yl8ythkMgk1kGaz2evYGRKEBEGEAxKABEF4xJ9GD0/odDq0trYCAM4777wZFViAcwOKRCJBfHw84uPjAUzWIo6MjAgNJTU1NYiKihLEYExMDKRS6Yyvlxd5fJrYnSDkXUokEklArwdBEIQjJAAJgnCL3W7H2NgYZDJZQJEnjuPQ1taGlpYWJCYmwmKxzLj484VEIkFCQgISEhIAABaLRRCELS0tmJiYgFKpFMRgTEyM4Ck8HbhW4jim110FoclkErbhBSEfISRBSBCEv5AAJAjCCX62n8Viwaefforzzz/fb/FjNptRWVmJiYkJbNy4EXq9Hj09PdO84tCRyWRISkpCUlISgMnnwY+caWxshNlsFgRhbGws1Gp1SC4l7vAm3EgQEgQRbkgAEgQh4Jry5R/zh+HhYVRVVSE2NhYlJSWQSqUwGAx+7e9PQ0mg+GtD5w65XI6UlBSkpKQAAIxGoxAhrKurg8VicRpKrVKpZtQBxF9B6DqDkAQhQRA8JAAJggAwdbafv16+LMuiubkZHR0dWLp0KTIyMvy2gpsvREREICIiAqmpqeA4Dkaj0cmlxG63T3EpCUQQhnqNPAlClmVhNpthMpmE15QEIUEQAAlAgljwOM72c7Vz82blBkxGxioqKmCz2bB582YolUqnv8+mAJwuYcMwDCIjIxEZGSnY1hkMBiFC2NnZCY7jnIZSR0dH+1xPONfrGlHlBaHdbofdbofZbHY7h5AEIUEsHEgAEsQChmVZ2Gw2j12+3gTcwMAAqqurkZycjMLCQrc1cbMdAZyJczu6lPC2dXq9XogQtrW1gWEYpw5jV9s6fjD0dK6RF3z8+dwJQj5l7OhjTIKQIM5NSAASxALEcbafo/+uK65WbsCkaKyvr0dvby+KioqQmprq8TyzLQBnA4ZhoFQqoVQqkZWVJbiU6HQ6DA0Nobm5GRKJZIpt3WzUELoKQpvNBqvVKvzdnY8xCUKCODcgAUgQCwzXRg9vN3VXAWcwGFBRUQEAKCkpQWRkpNdzBSIA51ITSDgRiURQq9VQq9XIyckBy7IYGxuDTqfDwMAAGhsbIRKJoFAoEBUVhZiYmBm3rQtEEPJzCPmUMUEQ8xMSgASxgOCjfna73a96L8cawN7eXtTU1CAjIwNLlizx6+YfiAibC2JtJhCJRMJswdzcXNjtdlRXV8NqtaKnpwf19fWCbR3/Ty6Xz+gafQlCi8UCnU6HjIwMEoQEMU8hAUgQCwC+3stmswVk5yYSiWCz2VBVVYXBwUGsWrVKmJXnD+diE0i4EYvFUCgUiI6ORn5+vuBSMjIygq6uLtTW1iIyMtKphnA2XFUcBaFer0dHRwdSUlJgtVoBuLetI0FIEHMXEoAEcY4Tip0bx3GoqalBREQEtmzZAoVCEdC5ZzsNOx+jiq4uJVarVegwbmtrg8FgQHR0tJMgnE6XEnfwNYv8efkIIR8d5AUjCUKCmLuQACSIcxiWZWGxWAKK+gGTN/Suri6YTCakpqZixYoVQd28Z1sAzhe8dQFLpVIkJiYiMTERAIT0q06nQ3Nzs5NtHS8Iw+1S4mu97lLGfLkBHyF0FYR8lzFBELMDCUCCOAfhU758l28g4s9qtaK6uhojIyPC8ONgIzeB1gCGUyzOJ3ERyPOWyWRITk5GcnIyAGfbuoaGBpjNZqhUKieXknALQl9ja/iGEcfteUHoLkLo2GVMEMTMQAKQIM4x+Nl+J0+exOLFi6FSqfy+sY6MjKCiogJRUVHYsmULTp8+7XUQtC/8FYA6nQ4VFRWw2+2IjY1FXFwcYmNjQ+6GXQjRR3e2dbwg7O3thc1mmyIIQ03FBjq2xh9BKBKJpnQZkyAkiOmDBCBBnCO4zvYzGAxgWdavmyjHcWhvb0dTUxMKCgqQk5Mj3JRDEVG+BKDjefPz8xEVFYWRkRH09fWhoaFB6IblBWEgzQ/zTTyEa728bV1aWho4jsPExAR0Oh1GRkbQ3d0NlmWn2NYFeu5QB1c7CkL+/eFOELrWEM6315Qg5jIkAAniHMDRzg2AcAP1J3pnNptRVVUFg8GAjRs3IiYmRvhbqDV83va3WCyoqqrC+Pg4Nm7ciOjoaNhsNsTFxQEAbDYbRkdHodVq0dHRgZqaGkRFRQli0J/mh/kSAZyudTIMg6ioKERFRQkuJQaDQYgQdnR0AIDTUGpXlxJ3+PvDwt81AnArCC0Wi0fbOhKEBBEaJAAJYp7jONvPsRDfHwGo0WhQWVmJ2NhYlJSUQCqVOv3dlxewLzwJwJGREZSXl0OpVKKkpAQymUwQrzwSiQTx8fGIj48HMCkYR0ZGoNVq0dTUBJPJBKVSKQhCtVpNXaY+cLSty8zMBMdxgkuJRqNBa2urMKeQF4SRkZFThNZ0Wtf5EoQWiwWA+7EzJAgJwn9IABLEPMXXbD9v6VuWZdHS0oL29nYsXboUGRkZflvBBYKrAOQ4Dh0dHWhsbHRKNfPbekMmkyEpKUmYQ2gymaDVap1q3dRqtSAI5xuzIV4YhoFKpYJKpUJ2drZgW6fVap1s6xyHUkdEREy7d7HrGgFnQcj/M5vNJAgJIkhIABLEPMSf2X6eoncmkwkVFRWwWCzYvHkzlEqlx/OEMwLIdxePjo5iw4YNIYs0hUKBtLQ0p1o3XhB2dHTAbrdjYmICIpHIYyRrrjBXUtWOtnUAYLfbBds6x7pMmUwGlmVhMpkCng0ZKo7WhWKxeIogdEwZS6VSQRAG0glPEAsBEoAEMc/wd7afuxTw4OAgqqqqkJSUhHXr1vmsoQtXBNCxu5hP+YYTx1q3zMxMsCyLyspKAHCKZPHRwdjY2BkXLr6Yi+JELBYL1wuYFIQjIyPo7OzExMQESktLERER4RQhnC2XEn69joLQZDIJ25AgJAhnSAASxDwh0Nl+jgKQZVk0NDSgu7sbRUVFSEtL8+uc4RrkfPLkSSxatAi5uble1xyuSBh/s4+KikJOTg7sdjtGR0eh0+kEv11X4eJa/ziTzJUIoC/EYjHi4+NhMBggkUhQWFgouJQ4Nuo4DqWe6evqTRB+/PHHWLVqFaKiooRh1CQIiYUKCUCCmAcEY+fGizeDwYCKigoAQElJCaKiovw+bygpYKvVitraWgDAunXrhGYOT0ynCBKLxYiLi3PqMOY7Ydva2lBdXY3o6GinDuPpdtNwZT6JD74G0NW2jm/U0el0aGlpEVxK+KaS2bCtcxSEdrsdUqlU+HHERwhFItGUGkIShMS5DglAgpjj8FG/QO3cRCKR4A6Rnp6OJUuWeO2SZVkOLMdBIhY5HSMYYTY6OoqKigohzcrXlM0k3q6TRCJxslfz5KbBC8JwDE8+l/DUBOLaqON4XR07t/kIoVqtnjGhzbIsOI5z8iR2jBDa7XbY7XaYTCYShMSCgAQgQcxRXGf7BXIDstlsGB8fh9lsxurVq4UbsjtMVjsONw3jWKsORosN+YnR2LE0EfmJUQGngHkP4YaGBuTl5SErKwsffvjhrKU4/T2vo5sGXzvGN5Tww5MdR6NER0eHVQzMlxQwD/9jxBeuLiUmk0kQhHV1dbBYLMJQ6piYmGkd5cNHsl2P787H2FEQujaVOPoYkyAk5jMkAAliDsLP9uNvWoHcbMbHx1FeXg6bzYasrCyv4o9lOfzlZDc+a9EgSiaGXCLC8TYtmgb1+O7WnIBSwDabDdXV1dDpdFi7di3i4+OFlPV8EjgMwyAiIgLp6elIT08X0ui8IGxraxM6ix1Ho4QqBuaTmAh2DIxCoUBqaipSU1PBcZyTbV13dzfsdvsUl5JwCUJPAtAVb4LQZrMJf3etISRBSMw3SAASxByCr/UbGRlBdHR0QFE/juPQ3d2N+vp65OTkwGg0+qy3ahk24EznCNLUCsglIowYrciJi0C71oiPG4dxXrx/KeCxsTGUl5cjIiICJSUlkMvlAL4QNbMhAMPVwOI4PDkrK8tpVt7AwAAaGxshk8mcOoz55+8v80kgA+EZBM0wDCIjIxEZGSkIbd62TqfTobOzExzHhS3y6q8AdLdOd4LQZrPBarU6CUJHH2MqGSDmOiQACWKO4Cj+Tp06hR07dvh9s7NaraipqXGKvtXU1PiM3nXrjDBb7Rg3MXi7aRhG6+T2SrkY3TojjPlyLImXYjHLQSSauhZH0Zmbm4v8/HynNc+mAJwuHGfl5ebmCqNRdDodurq6UFtbG1Qn7HyKHk3HIGh3tnV6vd6pWYdhGOGa+mtbxxNoDa23dZIgJM4FSAASxBzA0c5NLBYH5LU6OjqK8vJyYcYeH33yxwpOJhGhQ2tEl84IAJCIGNhYDuNmO8bNRjytnXxc+clhrEpXYVWGGqsy1ViVrka0jEFNTQ00Go0gOj0xWxHAmYAfjcI/f6vVKogWvhNWpVLNSuPDdMGPIZpOGIaBUqmEUql0irzqdDoMDw+jpaXFaU6hr1S8v3WLwazTmyAE3LuUkCAkZhsSgAQxi7izc+MFoK8oC8dxaG9vR3NzM/Lz86fM2POVAh0YM+Opj1sF8bcoMRIlefHQTljQMmRAeowC/dpxNGksGDfZcLRFi6MtWmH/5EgGBXESbC/KRapFBrWddeog5tfgbh16sw3ggGiFxGnbcDMbwlMqlU6xrHNsfLBarVPq3OZbhHQmreB4HCOvOTk5YFlWcClxTMU7Rl4jIiKE/adLALriSRBarVZYLBbh7yQIidmGBCBBzBKeZvs53jg83WQtFguqqqowPj6ODRs2ICYmZso2IpFIiEC4crRZg/95vRpagxVyiQgr01VQSMVoHTZAIRXj8pWp+ObGDHR1tGFcb4AiOQ9lXaOo6B7F6XYNukctGJjgMDBhxdHuFgAtiJCKsCJdhdUZMViVqcLqDDUSouVOAnBw3IxjrVq0DhsAANlxkSjJi0OKOvyuHHMlpera+OCuzo0X/jExMQGlNWeLQCLU04VIJEJMTAxiYmKEVLzrsG+5XC4IwtkSWe4EIR/x5z+froKQ7zImiOmEBCBBzALeZvvxNwpPEQuNRoPKykrExMRgy5YtHuvL3KWAbXYWT37ciuePtoPjgKUp0dj/tRWIj5Khtn8cJiuL9BgF8hOiIBJN3rREDFCYqkRBYgSWK7TYFWNDdsFydJskqOgaRXn3pDDUm+042T6Ck+0jwvnSYxRIkTDokPdieWYcKrrH0DdqQqJSBgYMKrpHMThmxtXr06FWzO+0qD+4q3MbHx9HTU0N9Ho9Tp8+DYlEMiWtOdeYjQigL9wN++YFYVdXF8bHx8EwDBoaGoQI4Uzb1gEQ6gN5HAWhuwihY5cxQYQTEoAEMYM4zvbzZOfmKABd921ubkZ7ezuWLFmCzMxMrzcF19Rr/6gJd/2rGqc7RgAA16xPxz2XLIZCOnkz2pwb5/EYer0e5eXlkEqlKCkpgUKhQD6A7QUJn6+VQ+uw4XMxOIbyrhE0DRnQM2JCDxic+agDQAcYBkhTyZEZF4mlKdFYlBSFpkED6vvHsTk3NtDL6ZO5nlplGAYqlQoRERFISkpCSkqKIFr6+vrQ0NAAuVzu1GE8G6LFlbkoAF2RSCROtZn9/f1obW0FwzBoa2uDwWBAdHS0IAZnw7YO8E8QGo1GyOVyREdHCynjuX79ibkPCUCCmCFYloXNZvNp5+ZOAJpMJlRUVMBisWDTpk1QqVQ+z+cYATzcOIyfvFGDkQkrouRiPHjFMly2PNnnMRiGgcFgwLFjx5CdnY1Fixa5jUqKRAwWJUVjUVI0rlqbDgDQm2yo6h3Dvw6fhU4Ug7PdY5iwsOgZNaNn1IyT7Tr8aEc+5BIRBsbMwvnCxXy6QfJC1XG+IDAZxXL12uVFy2xZq/HrnW81ayKRCDKZDIsXLwYwWUah0+kwMjLiZFvneG1no1nHnSBsa2uDSqVCenq6kE7+5JNPIBKJcPnll8/4GolzAxKABDHNOP6i5yMnviJ3DMMIQnFwcBBVVVVISkrCunXr/L7hi0QiWGx2PPJ+E178rAMAUJSqxB++tgLZ8ZE+97fb7ejv74der8fatWsF2zR/iVZIUJwXB2O7COvWFaBy0II3y/shEYtwuGkYugkrGgf0iJZLoI6YnsjLXI8A+sKd166rtZprh/FMCLO5UAMYKK4lFTKZDMnJyUhOnvwh5MkOkL+2KpVq1gQhy7KQyWTCZ59lWbz11ltQqVQkAImgIQFIENOIa6OHv24BIpEINpsN9fX16OrqQlFREdLS0gI695DBhgeOjqFJpwMAfHNjBn66azFkEt8CgU/5siwLtVodsPhzhE8jL05WIiNuFCarHSvSlPi0WYvy7lFcUpSMxcnRMBgMGBkZQVxc3Kyk4mYbf94XrqLF0Umjt7cXNpvNaXCyUqmctu7q+S4AXXG1rXN3bV0F4UxFQe12u1PGQCwWY2JiAqmpqTNyfuLchAQgQUwTjrP9Ah1AyzAMKisrIRKJUFJSgqioqIDO/VHDEH7yZgfGzSyUCgl+s7sQu5b5TvkCQG9vL2pqapCVlYXIyEj09fUFdG5XeAGYrFLg0qJkfNwwhGj55FdP74gJ2wsSIDLqcLymBjKZDDU1NVAqlULdW7Bz8+aTQAk2UhkREYGIiAikpaUJlnW8aGlvbxcGJ/P/IiMjw3JdzkUB6IrrteW7t0dGRgR/aNdxPtN1Tfj5oI4YDIaAvxcIwhESgAQRZtzN9gvkxtDX1webzYb4+HisXLkyIPFjsbF47INm/OlYJwAgTy3CCzduRGacfynfuro6DAwMYNWqVUhKSkJvb2/IaVTHZpSlKUpkx0WiZ8SI050jGBy3oLqxFWPiEaxcuRJqtVoYpKzValFbWwubzQa1Wi10eAZiBzafUsDhcKjgLesyMzOdBicPDQ2hubkZUqlUECxxcXEBW9bxLAQB6Ii77m1Hsd3RMVli4Rh9Dec4H08CMDo6OizHJxYmJAAJIox4mu3nD44CTCaTISsrKyDx160z4kf/qEJlzxgA4Gsr47ErxeiX+DMYDCgvLxcijvzoEb7+KBRcu5EjZGIsSorGRUvi8dfTfTjaNoYnryuGQqGAxWJxSsXxkRetVitEtfhGCT5C6GlMSri8gGeC6Vin6+Bk1zl5dXV1iIyMdIoQ+pt6n6mhyuGEj8SHA1exzY/z0el00Gg0aG1tFeYUhiP6SgKQmA5IABJEmGBZFv39/YiKioJcLg/oy358fBwVFRWQSCQoKSnBmTNnAhJeh+oG8bM3azFmskGlkOChPcuwMg5obm72uW9fXx+qq6uRmZmJxYsXO90kRSJRWCOAPENDQ0i0TKaWa0ZEkCsiAEw9j2PkxTGqpdVqhTEpCoXCaUzKQqwf9AfXOXm87zTvs1tdXe13F+xCiwD6gh/no1KpkJ2d7Tb66jrfUaFQBPTj0PW1mJiYoBQwERIkAAkiRPiUr9VqRVVVFVauXAmFwj9nC47j0N3djfr6eqcxK/74+AKTKd9H3m/C/53oAgCszlDjsa8tR3pMBIaGhrwew263o76+Hn19fVi5cqXQWOBIOKJojsdwnGX45Y2FONDUDN2EFWVdI1ibqfZ5LMeoVm5urjAmRavVOomYuLg4mEymWRmREiwzLaikUikSExOFBh/HLtj6+npYLBanGjfHpgcSgN5xF33lbesc5zs6Rgg9fWfw3y+uo2EoAkiEyvz5diSIOYi72X7+CiabzYbq6mpotVqsWbNGGPXBH8eXAOzUTuCOf1ShpnccAHBTSTbuvCgf0s/9eL0dY2JiAuXl5WAYBiUlJYiMdJ8mDmcK2GKxoKKiAkajEZs3b4ZSqcT2ghH8p7IfH9YP+SUAXXEdk2I2m4V0sUajAcuyMJlMQoQwkPrBmWQupKpdU++OXbB80wMvWGw222wvN2BYlp2VMS7AZPTVcb6j3W4Xoq98Oj4iIsIpQsgP/OY/f65r1+v1UCqVM/tEiHOK+VXEQRBzBP5XucVigd1uF4azisViQQx6Y3R0FKWlpbBardiyZYuT+AN8C8B3awaw57kTqOkdR0yEFM9/YzV+uqtAEH/ejtHf34/S0lLExsZi06ZNHsUff4xwRAD1ej1KS0uFFDd/47pw6WT06cP6obCIILlcjtTUVCxbtgzp6elISEhAfHw8dDodzp49i6NHj6K6uhq9vb0wmUwhny+czCVhyjAMIiMjkZ6ejuXLl+O8887D2rVrERsbC51OB6PRiPr6elRXV6OnpwcTExNzQsR6Yy7VLYrFYsTHx2PRokVYv349tm3bhoKCAojFYnR0dODo0aM4ceIEGhsbMTAwIOzjyMTERFARwGeeeQa5ublQKBRYt24djhw54nHbvr4+XHvttViyZAlEIhHuuOOOKdscOHBAGG/l+G+ufb6IqVAEkCACxNHODXCe7edLuHEch46ODjQ1NSE/Px+5ubke3UDcHcdsteP/HWzCX091AwDWZqnx2FUrkKqemj5yTd+yLIv6+nr09vZi+fLlwrwzb4QaAeQjf83NzSgoKEBOTo7T8926KB5SMYMOrREtwxPIUoevfo9hGEilUmRmZgr1g2NjY071g3zUJS4ubtaswIC5EQH0BsMwUCqVUCqVyMrKQmlpKTIyMmC32zEwMIDGxkbI5XKnCFawHcbTxVwSgK64G/jt6AADAGfOnEFsbCy0Wi0WLVoU1BiY1157DXfccQeeeeYZbNmyBc8//zwuvfRS1NbWIisra8r2ZrMZiYmJ+PnPf44//OEPHo+rUqnQ0NDg9Ji/ZTDE7EECkCACwHG2Hx/1c0QkEnmMAFosFlRVVWF8fBzr168X0kHucCcA2zUTuOPvlajr1wMAvrs1Bz+8IA8SsfubmuMx+JQvAK8pX1dCqQHkU9xmsxl5eXnIzc2dsk20XILNuXE40qzBR/VDuHFTYMOuveG6dr4rMyYmRlgfXz/Y0tICo9EoNEHExcXNmKuG43rnE/y1ys3NdUppdnV1oba2FlFRUU6CcLbrMWczBRwoMpkMSUlJSEpKgsFgwKlTp5CVlYWRkRH88pe/xMmTJ6FWq/HUU0/h8ssv9/sz/dhjj+Hmm2/GLbfcAgDYv38/Dh48iGeffRYPPfTQlO1zcnLw+OOPAwBeeuklj8dlGMavH5TE3IIEIEH4gb+z/cRisduImVarRUVFBdRqNUpKSoT6Hk+4CsC3q/rxy//UYcJiR2ykFI9euRxbF8X7dYyBgQFUVVUhLS0NS5cuDUjUBJsC1uv1KCsrg1wuh0ql8hqp2LE0EUeaNfiwYTisAtAXnuoHtVotampqYLPZnGbmhXOu23zHtQmET2nGx0++J/lZjjqdboq4DmW4dyjM5QigN+x2OyQSiVCf+f777+PkyZPYs2cPhoeHcdNNN2FgYACPPPIIbr/9do/HsVgsOHPmDO6++26nx3fu3InS0tKQ1qjX65GdnQ273Y7Vq1fj17/+NdasWRPSMYnphwQgQfggkNl+rjWAHMehpaUFbW1tWLx4MbKysvy2gmNZFiarHb95txF/P9MDANiQHYPfX7UcySr/0it2ux1VVVUoKioKyjYqmBQw7ySSnZ2NgoICnDp1yusxLlySiPverkdlzxiG9Ba/n5svAhVrfP1gamqq06BfvsNYJBIJzSRxcXFhTXHN9RSwKxzHeRVTUqlUiGABgMlkEgSh43Bv/lpOp4sGz3wWgK5iOTExEQaDAS+//DJEIhFaW1t9Curh4WHY7fYp3f7Jycno7+8Pen1Lly7FgQMHsGLFCoyNjeHxxx/Hli1bUFFRgYKCgqCPS0w/JAAJwgssy8Jisfjt6OEYuTOZTKisrITJZMKmTZugUqn8Pq9IJEKHzow7Dp5C44AeDAPcujUXt52f6zHl64jRaERFRQUAYPPmzUGPiwgkAuhYY8g7iQC+08jJKjlWpKtQ1TOGw01aXL0ufFHAYIWVO1cNvn6wt7d3Sv2gPylOluPQrjHCameRFReBCKnzDXs+RRdZlg1ovQqFwklc87ZqOp0OnZ2TrjV8h3FcXFzYLOtc13yuCEC+/o+vP87Pz/f7eK7XNdSRPps3b8bmzZuF/96yZQvWrl2LJ598Ek888UTQxyWmHxKABOEGx9l+fLTD38id3W7H0NAQqqqqkJCQgLVr1wZc//RppwnPnxmFycYhIVqGR79ahJJ87ylfnsHBQVRVVSExMRHj4+N+1/u5w98aQKPRiPLycnAcN6UeyR8RuWNJIqp6xvBJkyasAjBcONYP5uXlwWazuU1xOvoXO4qNliED/nS8G22aCdhZDglRMnx1dQouXDKZfp6PEcBgRYM7WzV+aPLw8DBaWlqmDE325PYSCPNZALquW6/XB1ySkJCQALFYPCXaNzg46HYGaLCIRCJs2LABTU1NYTsmMT2QACQIF0KxcxOJRBgeHkZ7e7swisQbXTojyrpGYLNzWJoSjZy4SPz63Qa8XjYCANicG4vfXbkciUrfHZUsy6KxsRFdXV0oKipCYmIient7Q/ZA9ZUCHhoaQmVlJZKTk1FYWOg2FeVTAC5NxP6PWnCifQQTFjsiZaHXh01nRE0ikTgNUeZTnFqtFj09PU4z88QRKuz/uBs9IyYkqeSQMAw0BgteOtYFdYQU67LU077ecBPOQdDuXDR4yzpHtxd3M/ICYT4LwHC4gMhkMqxbtw6HDh3Cnj17hMcPHTqE3bt3h2WtwOR7o7y8HCtWrAjbMYnpgQQgQTjAR/38Tfk6MjExgYGBAXAch+LiYp9p17er+vHXk90YM1nBYNIITaO3QDthhYgBvrYsGvdetRZike818Clfm80mnJsfUxNKdMmb84Ojq4c3setPBLAgKQqZsQp06Uz4rFWLiz+fDxgqMxVZc01xGgwGYSD1Rydb0dQrQppSijE9BxtEyIyNQLvWiI8ahgUBOJ+YTicQ3uuZ75Lnu7X5kSg1NTWIjo52sqzzJ8J+LglAg8EQVJr8zjvvxHXXXYf169ejuLgYL7zwAjo7O3HrrbcCAO655x709PTg5ZdfFvbhpwfo9XoMDQ2hvLwcMpkMy5YtAwDcf//92Lx5MwoKCjA2NoYnnngC5eXlePrpp0N41sRMQAKQIDB1tl+g4q+/vx/V1dWIjIyEUqn0Kf6aB/V45UQXOI5DbnwkekaMqO3TgwOgUkjws20JyFeyfok/TxE4/mYXyhw//hq43vDduXp4O4YvIcYwDC5ckog/H+/Cx42asAnA2cCxfjArKwtV5m7Ih3rQN2FH95gRAGA3T4ARS9A6OAqbzTavUsAcx/lsAgkn7mbk8en3xsZGmM1mqFQqpw5jd2s7lwSgXq8Pqq5379690Gg0eOCBB9DX14fly5fjnXfeQXZ2NoDJwc98TSaPYzfvmTNn8Ne//hXZ2dlob28HAIyMjOA73/kO+vv7oVarsWbNGnz66afYuHFjwOsjZhYSgMSCh2VZmM1mQeQ4Dnb2haOf7vLly2EwGGAwGHzud7J9BOMmG/ISIlHfr0enblIYRMpEuGBxAlanRWF0dNTnupuamtDZ2YmioiKkpTnXzvHPIRwC0PHmOTIygvLycqjVahQXF/s1PNkfgXPhkgT8+XgXPm3WwsZykPghfn2tfS4IK7VCggG9DQbLF93helYCKcchwj6BI0eOgGEY9Pf3QywWO3nuzkX4azpbKWuZTIbk5GShbs3Rsq6npwd2u92poYS3/zuXBGAoPsD79u3Dvn373P7twIEDUx7z9Rn6wx/+4HVINDF3IQFILFg4jgPLsjAajfjwww9x4YUXBlRbpNfrUV5eDrFYLDQ+tLW1+WUFZ7LawTCAdsIqiL9FiVGIkIpgZTmfjiImkwkVFRWwWq0e0828kA1FADqmgDmOQ2dnJxobG7Fo0aIprh7ejuGPEFubpYZaIcGo0YayrlFsyI4Jet3A3Kip69IZ8cfSLkH8JStlGBi3YGDciqI0Jb5xfh6KkuQ4ffo0zGYzqqqqhPpBvqFkrs0fnG0B6EpERAQiIiKQlpbmNL5Hp9Ohvb0dDMMI/sVms3nO+kF7wlsXMEGEAglAYkHi2OgRaKqU4zjBwD0rKwsFBQXCMTwNgnYlPzEKIoZBbd8YACArNgK58ZFo00xgRZrKqwDkU75JSUkoLCz0Wv8Uqpcvf6O0WCyoqamBTqfz6WLi7hj+rEEiEmFbQRzeqhrER42akAXgbHO8TYcfv1GHUaMNsZFSrEiLhm7ChmG9BXYO2JofJ9T/icVi5OTkIDY2Fnq9HjqdDhqNRuiIdZw/ONsWa3NNADribnwP32HMd+bLZDKnAd+zfT19Ybfbp6yRBCARDkgAEgsORzs3kUgk/PMncmez2VBTUwONRoPVq1cLXaA8/h5nU24sImViTFhYiBlAHSFFm2YCGTEKXFKUDM6gmSIAWZZFc3MzOjo6UFhYiIyMDJ/n8RVJ9Gd/YLL2R6FQoKSkJOAbZiCp2AsK4vFW1SA+btTgJxflhSwyZiMFzHEc/nKqF7/7oAV2DliRpsT+q5YhIVqGdo0RT3zShg8bNOgfMzvtw0dsHT13+Y5Yvru4rq5OsFjj/Ytn2mKNv6bzIZ0qEomgVquhVCrR2tqKTZs2CR3b3d3dqKurQ2Rk5Jzwg/ZEuFPABMFDApBYMHizc3N18HDH6OgoKioqEBERgZKSErdOEP5GAM02Fi3Dk7WCeQlRUCokuGBJAq5YmYK0GAX6jM7CjU/5WiwWn00XjoQqAPmZYfHx8SgsLAzqph+IANyco4ZMzKBnxISmoQksTgo+yjEbESqLjcWv323Cm5UDAIArViThV5cthlwyed3yEiJxzbo0fNgwaX3380sWQeplsLdrR6yjxVpTUxNMJhNUKpUQIZyJ+sG5HAH0BP8ZkEqliIyMRFxcHPLz82G1WoUO45aWFkxMTEzxg55t/2BPTSBxcXGztCLiXIEEILEg8DXbz5sA5DgOHR0daGpqQl5eHvLyPEem/BVcT33SijGjDQVJUXjjuxshETuvx/E4w8PDqKysREJCAtatWxdQxCfYRgje1aOvrw/ApCl8KLMEfa2Bn2HY2dmJwjgpKobseK+qFwUXLpo3QmNo3Iw7/lWLyp5xiBjgrh15uG5j+pT1r8+OQVykFNoJK062j2BL/uSN3J/n6WqxxjdAaLVadHd3g2VZp/TmdDlq+LveuQK/Ztf3sFQqdZrnaDabhetZV1cHi8UyxbJupiOf7gSg0WikCCARMiQAiXMef2b7eRJuFosF1dXVGBsb86v2zZ9IYsuQAX852Q0AuOeSxZBKpkYY+FRyU1MT2tvbUVhYiPT0qWLCF8FEAB1dPYqLi/HZZ5+FXEfobX9+pIzJZMKKFSuw3d6PiiENDlb3Yo2sH3FxccK/QNPPM5UCru4dx+3/qMGg3gKVQoJH9xSiJM/9e0UiYnDx0gS8drYPB+uGsCU/Luh1ujZA6PV6aLXaKfWDfIQwHPVu8zkC6Eu8yeVypKSkICUlBRzHOXUY8wLbscN4Jhp0WJZ1GwEMxeGHIAASgMQ5jONsP192bu6Em06nQ0VFBVQqFUpKSvzqEPYluDiOw2/fa4Sd5XDhkgRs8WDvZrfbYTQa0dfXF1DKN9D1uDI8PIyKigqnmYKhjlPxtv/o6CjKysqgVquxadMmsCyLr2yMxpPHNejUM0jJXQqxZdyp/o0XNDExMV7TczMlUN6qGsB9/22Exc4hLyEST36tCFlx3q3Ldi1LxGtn+/BBgwa/vDQ8ETXH+sHs7GzY7XbBUaOrqwu1tbXC9QtkgLIrMzkDMFwEM9idYRhERkYiMjIS6enpgsDmBWFbW5tTij4uLi4slnWuUA0gMV2QACTOSViWhc1m89vOzVEAchyH1tZWtLa2oqCgANnZ2X7fOHxFAA83aXC0WQOpmMFPdy12u41Go0FNTQ0AoKSkJKQif3+7gDmOQ0tLC9ra2qa4eoQ6SsbT/l1dXaivrxdGynAcB4vFgoRoGVakK1HZM46zA1bsXTeZdufr37RaLRoaGmA2m4VxKY7z3lyf13RhZzns/7gNB45PRnPPL4jDQ7uXIlru+/Vam6lGQpQMwwYLjrWNYDqqzMRisXBt+Ho3/vq51g8Gkt6cTheQ6SIcMwDdNeiMjY1Bp9Ohv78fjY2NkMvlToIwGMs6VzxZwZEAJEKFBCBxTsHP9rNarU6dlb7ghZvJZEJVVRWMRiM2btwItTowmy5vETeLjcVD7zUCAK7fnIWceOcUjqMIy87ORldXV8gdnv6IN4vFgsrKSkxMTLiNNoZjlIzj/na7HXV1dRgcHMTatWsRHz81CnrB4nhU9ozj40YN9q6bHHDtWP/Gp+e0Wi20Wi3a29shEomc0sXTKVJGjVb85M16lLbqAADf2ZKF72/PhsjfHwoiBhcXJuDV0704WDeES2OnP1Xtrn6Qt6tzrB/kI4Se6gdZll2QAtAVkUiEmJgYxMTEIDc3F3a7XWgo6ezsFCKuoXZs0xxAYrogAUicM7g2egTi6CEWizE6OorGxkbEx8djzZo1QX1ZexsD85eTXWjXTCA+SoZ923Kd/mY2m1FZWQmj0YhNmzaBYRh0dHQEfH536/EmAP1x9QhHBJAXgEajEWVlZWAYBsXFxVNSZvzrdeHiBDz+cTuOt+kwMG5GYrTMSVw5pucyMjKEaIzjuBSZTAaRSASNRuMzXRwIrcMT+OE/atChNSJCKsKvL1+CXYWBW9ddsiwRr57uxccNw7ho48xH1SIiIpCenu6U3tRqtRgaGkJzczOkUqkgXhyjWQs1AugLsViM+Ph44QeNu45txw5jlUrl13vScVYpAGHYdbBlIQTBQwKQOCdwne0XyA2KZVkYDAYMDQ2hqKgoqGYLHrFYLLhmOB5Do7fg6cNtAIAf7chHtOKLj55Wq0VFRQViY2MF4WkwGEISXTyeBGAgrh7higDy9YUpKSk+R8okK2VIipZhUG/BU5+0Y9uiOCxLVSI9ZuroHX6NfDSGTxe3tLRAo9EI6WK1Wo24uDjEx8cH7QZxuEmDn75ZD4PFjlSVHE98rQhLU4JLxa3OUCFJKcPguAW1WmBdUEcJD57qB7Va7ZT6wbk+ONkds2ED5xpx5ecParVa1NTUwGazTekwdlfCwLLslB+jVANIhAMSgMS8xttsP38wGo2oqKiA2WxGZmamX8OVvcHfZOx2u9OX9uMftWDcZMOyVCW+uiZNWDtfa7hkyRJkZmY6zSV0JyQDxV30jh9mrdVq/epsDoen7tjYGPr7+/0aYG1jORxvH0F6jByDegtahg3IjY/EsMGCCxYnIEXlW4BIpVKoVCqYTCasWrXKKV3c0dEhFO/z0S13Mx0d4TgO/1vahSc/aQcHYF2WGo99tRBxUcHXeIkYBjsLE/HKyR6cGQKun0NRNcf6QWCyTGBkZARarRadnZ2wWq04e/bsrI5HCYS54AOsUCiQmpqK1NRUcByHiYkJQRB2dnYCgJMFYGRkpFMNsyNUA0iEg7n7iSUIH/ApX77eL1Dx19/fj88++wxKpRIpKSlhSRHyx3AUXXV94/j72R4AwM8vXQyxiIHFYsGZM2fQ3d2NjRs3Iisra8ocQNfjBINr9E6v1+PYsWMwm80oKSnxy9ItlBSwzWZDf38/JiYmsHHjRr8E9sCYGZ1aIzblxAAAmoYmkBYjh95sR/OgIaDz8wKaTxWvXLkSW7duxYoVKxAZGYne3l6UlpbixIkTaGxsxPDw8JQUvtFqx0/erMcTn4u/vWtT8cdrV4Qk/nj41HGlZnI4+FxFJpMhKSkJS5cuxbJlyyCXy5GcnAy9Xo+KigocPXoUlZWV6O7uxsTExKw4sHhjLghARxiGQVRUlNN7cvXq1VCpVBgaGsKpU6fw2Wefoa6uDsBkOpmHz1gEUwP4zDPPIDc3FwqFAuvWrcORI0c8btvX14drr70WS5YsgUgkwh133OF2u3/961/Ce2LZsmV44403Al4XMTtQBJCYl7Asi56eHkilUsTExAQk/Ox2OxoaGtDb24vly5cjJSUFDQ0Nflm4+cJVuE2OfWkAxwGXFiVjfXYsdDodysvLERMTg5KSErd1d47HCUWYOqaA+/r6UF1djezsbCxatMjvG2KwKWC9Xo+ysjJwHIf4+Hi/G2rGzTbYWA4FSdFQSEQwWVn0jZqhlEswpLcEvA5X3KWL+UhMY2OjU7rYIo3Gz9/tQP2AARIRg3t25ePqtWkhr4FnVboSqSo5+sbMON4xhi/HBtZ0NBtwHAexWOxUPzg+Pj6lftDRvzgc3bChMNcEoCsMw0ClUkGlUiEnJwd2ux1jY2MYHBwEAJw4cQIKhQKffvqpMH8w0BrA1157DXfccQeeeeYZbNmyBc8//zwuvfRS1NbWIisra8r2ZrMZiYmJ+PnPf44//OEPbo957Ngx7N27F7/+9a+xZ88evPHGG7j66qtx9OhRbNq0KfALQcwoJACJeQWf8rVarejt7RWKqv2Fj1iIRCKUlJQIw1TFYjEsltDFBcMwTo0g79cN4mT7COQSEX58cT5aW1vR0tLic7xMOCOAdrsdtbW16O3txapVq4SapECeU6ACsL+/H1VVVcjOzoZUKsXIyIjf+8olIjCYjIjxUTGVQoJxsw3xUf77tPr7o8BTd3Fp0yD+cKoDeisDlYzBr3akYfuy8NpvMZ+ngf98ohsfNY3gy6szw3r86cC1LMGdeOHrB/lu2OjoaKdu2Jm2V5vrAtAVsViM2NhYSCQSDAwMoKSkBCMjI3j99dfxl7/8BXq9Hjt37sTFF1+MHTt2YOvWrT4jgo899hhuvvlm3HLLLQCA/fv34+DBg3j22Wfx0EMPTdk+JycHjz/+OADgpZdecnvM/fv34+KLL8Y999wDALjnnntw+PBh7N+/H6+++mool4CYAebPJ4JY8PCNHnw6RCKRBBS16+npwbFjx5CQkIBNmzY5TdL3x8HDX/iom9lqx8MHmwAA39qcgYHWOnR1dWHDhg1emy6AL8RLqALQbrejq6sLIyMjKCkpCVj88Wvxdx0sy6KhoQHV1dVYuXIlFi9eHHAEMVUlR5JShvLuUXAAomQi2FkOHAfkJwaW9gpUuPLp4tJBER46boDeyqAgQYHfX5KMeFaHY8eO4fjx40K62GazBXR8d1yybDINfLRtFEZreN6D04mvulS+fnDRokXYuHEjzjvvPGRnZ8Nms6GhoQGffvopzp49i/b2doyNjc1Iuni+CUAefgSMRCJBQkICHn30Ubz55psQi8X4n//5H+h0Onzve9/Diy++6PU4fMnJzp07nR7fuXMnSktLg17fsWPHphxz165dIR2TmDkoAkjMeTzN9vNXtNlsNtTW1mJoaAirV68WfD8dCcYyzRP8uv50rBM9IyYkRkuxTNQDhlF7TPm6wkcSQ1nT8PAwhoaGEBUVhU2bNgUddfFXwJnNZlRUVMBisaC4uFiISAQaQVRIxSjJi8PJjlEAQHyUDBw4bMhWIzfef6eFYJpnrHYWD7/fgtfOTnogX7IsEQ98eTEipJPXznG0h2u62FMnpy+KUqMRL+egMbM40qzFziBGyswkgTqByGQyJCcnIzk52clezbH5wdVNYzr8i+ezAHREr9cjKioK1157Lb7xjW8I23mDr21NTk52ejw5ORn9/f1Br6+/vz/sxyRmDhKAxJzG0c4NcJ7tJ5FIYDabve4/NjaG8vJyKBQKbNmyxWO3Z7gjgANjJjz/aTsA4LI0C5bkB+Yowh8nGAHoOFA6NjYWSqUypJSbPxFAfp5gTEwM1q5d69QBHUwKOSFaBtHnl6o4NxZfWp7sl8OGK4GcV2uw4M7X63CmcxQMgB+en4ObSzKdXjPX0R4TExPCMOVguouByeuzJgH4oAd4r3ZozgvAUAZBu7NX4+sHBwcH0dTUJLhp8DWE4XLTmI8C0JMPsGsHsL+fb3djZsJhQRjuYxIzAwlAYs7CR/08Gbl7E22Oc+5yc3ORn5/vtxVcqIhEIjx9pAsTVjvyVMD3LvM9asXTcQIVgK6uHj09PWHvJHaE4zh0d3c7Wbq5Xudgx8g0DEx2/G7MiQlK/AVCfb8eP/xHDfrGzIiSifHwV5Zie4F7n2ZHXIdRj4+PQ6PRoLe3Fw0NDYiIiHDyLvY0XHxtAocPehgcadZiwmJHpGxma+QCIZw3eHf1g7ybRkdHB2pqahAdHe3kXxzMj5n5GgG02WxubeAC7QBOSEiAWCyeEpkbHBycEsELhJSUlLAfk5g5SAAScw5/Z/uJxWK3NVhWqxXV1dUYGRnBunXrhFlm3ginAGwdZXGwcTJ9+Zsr1wQl/oDABaA7Vw9vziT+4knA8c0lQ0NDHi3d+P0DFaFWO4umoUkBWBjkoGV/RcrBuiH88q0GGK0ssmIVePLq5chLiPS9owsikQhqtRpqtVroLuZn5/lKF2dEARlqObpHzTjcpMGlRYHXas4U0xnhcXXTsFgsQrq4vr4eFosFMTExXocnO6I323C6YxRtXQbkxUqwdFpWPX24iwAaDAaPNn2ekMlkWLduHQ4dOoQ9e/YIjx86dAi7d+8Oen3FxcU4dOgQfvSjHwmPvf/++ygpKQn6mMTMQQKQmFO42rl5m+3nTrTpdDpUVFRAqVRiy5YtfqePwiEAOY5DW3s7/lJnAcDgK6tSsTbHdxTJE/4KQG+uHuGobXQn4CYmJlBeXg6GYVBSUuI11RnIjYoXm63DE7DaOSjlYmR4cP/wB2+RR5bj8NThdvzxsy4AQEleLB75ylKoI/zvNPaGVCpFYmKiUHPqbvAvLwY5jsVFS2Jx4GT/pDfwHBeAMxVNc1c/yKfcHesH+QihY/1gaasO+z9qg8ZggdVmg1zCoHKsHd/blg2JaH6kKD3VAAYzBPrOO+/Eddddh/Xr16O4uBgvvPACOjs7ceuttwKY7ODt6enByy+/LOxTXl4unHNoaAjl5eWQyWRYtmwZAOD222/Htm3b8PDDD2P37t3497//jQ8++ABHjx4N8hkTMwkJQGLOwLIsLBaL344ejl3AHMehra3NrxEr7ghVKPFRx4MNOnToGURIRbjr4kVBH8/fNTm6eriLdoZDALqmgAOxdAt2DXX9egDAkuTgLNsAZ+E5MGbGR40aDOnNyIhRYFNODP7f+y34pEkLALhxcwZuvyB3WoWBY+0bny7WarXo65tsOMnghgAAnzZrMWIwISYqeOE7nYRSAxgK7vyfx8fHodPpMDAwgMbGRsjlcsTFxcEmi8Yjh/owbrYjIVoGk8kOox34d2U/suIU2L0yZcbXHwzuBGAwKWAA2Lt3LzQaDR544AH09fVh+fLleOedd5CdnQ1gck4oL6p51qxZI/z/M2fO4K9//Suys7PR3t4OACgpKcHf/vY3/OIXv8Avf/lL5Ofn47XXXqMZgPMEEoDEnMFutwdk58ZH7cxmMyorK2E0GrFx40a/Bw67O1YwjI6Oory8HGJ5JP7bJQFgwddXxSFJGZpnqq/0LT9oWS6Xo6SkxK1Hazhs3PhjOFrXLVu2DOnp6X4fI9A18AIw2PSv43nPdI7iwfeaMDJhBQeAZTlMWOww2znIxAzu+9JiXL5iZmuWHNPFubm5+Oijj7BlWTbS6jvQO27HC/89josWqULqLp4u5kqRv+M1dKwf1Gq1eKu8E0OjVsQpGAyO2TBuZpGplmLcCrxbMzSvBWCwEUAA2LdvH/bt2+f2bwcOHJjymD+f26uuugpXXXVVUOshZhcSgMScgR994u/NhR/e/NlnnyEuLg5r1qzxWGTvz7ECFYCOqdf8/Hz8p43FoH4USZEifGVpYFP63eEtcuavq0e4UsBWqxVlZWUYHx/Hpk2boFKp/N4/GCeR+oHwCEAry+Hpj1oxMmFFQrQME1Y7urQmcABkYgZ/+uZKrMyYG+4b8fHxuHyVDc8f7US7PQ7JyfFu08X+dhdPF3NFALriWD+oHpBD1tmDURsLnXHyc60zWCAWidCn02NsbGxOiWpPuBOAwdrAEYQrJACJOYPjiBdf8FZwFosFRUVFyMjICOnLXCwWg2VZv29uVqsVNTU10Ol0WLduHSaYCLz4l2MAgOtXRkMShhIpd+KNZVnU19f77eoRDgFot9sxODgoNJcEOpYj0Cgky3Go/7wDeGly8AKQYRi0jrDoHzMjJkIKvdmO7hETgEnxFxclQ2wY/HzDBcMwuGRZIp4/2onjHaNQxi9zmy4OpLt4OpirAtCRjBgFxs02mG2T77s4BYPYSAm0Rg4Z0UBZWRkYhnGyq4uI8H/G5Exht9unfN4MBkPQEUCCcIQEIDFn8PemYjQahYHDDMMgMzN0+yz+V7bdbvd5M+VnC0ZERAip1/v/XgmLjcWm3FhszpCFpaOYF6U8RqMR5eXl4DjOycbOG6GmgPv6+jAwMACVSoV169YFfeP3Zw06nQ51dXXQ2aSYsNghlzDIDaIb1xELy4HlGDAM0Dc2OTNSHSFBfKQURusXVnOzieO1WZQYhfyESLQMT+CTRg2uWJk8JV1ss9mEZpKmpiaYTCao1WrExsYiPj5+2iNbc32kit5swz/K+gTxFx8lhRw2aI0clBEy3HLBYqxKVwqi2rV+kBeF/gxsn248RQATEhJmaUXEuQQJQGJeMTAwgOrqaiQnJyM3NxdHjhwJS0SC/5L1Fi3jOA5dXV1oaGhAXl4e8vLywDAMTrbr8F7NIEQM8LNLFoPTdYfFVcQxesc3XiQnJ6OwsNDvWWjBRgBZlkVjYyO6u7uRkJAQ8NgJ1zX4EoBdXV2or69HdnY2atsm078pChZnTp10inQFMgOOYRjkKEVQykXoGzPDzk7W/KWq5NAYrEhTy5EdN3eiPvz13bUsEc982oH3aodwxcqptYkSicSpu5jvjNVqtejqmuxons7I1lyOAA6Nm7HvtWrUDxigkIqwOScG7VojJow25McrcMvWPKzJnEz5u4pqfv5gW1sbqquroVQqheuoVqtn3L8Y8CwAc3NzZ3wtxLkHCUBiXuCY+iwqKkJqaqrgCexP1M4X/A3NU+TOsdvWceadneXw23cbAABXr0vH0hQlGkZDn70HfNEE0tzcjLa2toAbL/hjBCoAzWYzysvLYbVaUVxcjO7u7pCej7coJMuyqK2txeDgINauXQulUonXW1oBaLFhUQpyc2OFGXBWqxUxMTGCIIyKivIpRKJlDK5YkYwnPmkHAETJxBjSW6CQinHj5kxIxbMfyXK9NrsKJwXgsTYdRo1Wn2NpIiIikJ6ePiVd3N/fj8bGRiFdzNuthfpZmasCsE0zge+9WoWeUTPioqR4du9yLEtVYtRoxckzZVi5OBPJSe5ncvJeu3xkzWw2C1HW2tpa2Gw2pxmO0dHBd6cHgqcuYH+i/wThCxKAxJzB0xeqwWBARUUFADilPgNJ2/pzbk+NIOPj4ygrK3NK+fL862wv6vr1UCokuP3CfGFdFoslpPUAkzfanp4eAMDmzZuhVAbeWBLMMOmysjLExcVh3bp1kEgkQQ1ydsSTADSZTCgvLwfLsiguLoZCoYDVahUaQJalqgTbNY7jBNs1jUaD1tZWSKVSxMXFIT4+3mPKjuM4dOmM4ACoFRKkxyiQlxCJr6xKwYbsmKCf03TAv//zEiKxOCkKjYMGfNSgwZ7V/neseksXNzc3w2QyQaX6ortYpVIFLGTmogCs7BnD91+rxojRhqxYBZ77+gpkxk5GPtURUqikHCQBRPDkcjlSUlKQkpLi9N7T6XRob293svzj5w9OB+HuAiYIR0gAEnOa3t5e1NTUIDMzE4sXL3aqPeI7hm02m9sRKIHiKgAdbc7c2cmNm2z4w0fNAIDbzs9D3OcNBeFw3xgZGcHQ0BDkcrng6hEM/tYAOqa3XecoBtPF62sNOp0O5eXliI+PR1FREcRisTBqpt7NCBiGYRAVFYWoqChkZmbCbrdjdHQUGo0GbW1tqKmpEVJ28fHxgrDp0bN4s3IAAPDk1UVC+m+us6swEY2DBhysGwpIALriT7rY0bvYHyEzk4Og/eHTJg1+/EYdjFYWy1OVeGpvEeJdmntCqVt0fe+5a8pRKBROUdZw1Q96igAG82OQIFwhAUjMSWw2m2Az5q3b1XEYdKg4CkD+/MPDwx5tzp453AqtwYrchEh8Y2OG8HgonbeOQoz3SA3lZuLPWux2O2pqajA8POx2mHSojSSu+/P1fu4Gdg+Mm6Ez2iBmgIIkz6MuxGKxIFqAyWgiL2y6u7sBAFFRUfhHoxUsB+xYEj9nxZ+7a7trWSKePNyO42066CasiI0Mj6BwTBdzHIexsTGndDEvZHgx4y6yPpcigG+U9+P+dxph54AtebF47Mplbn2Uw9m44i7Kys8fdK0fjIuLg1qtDvrcnmoAKQVMhAMSgMScY3x8XLAc2rJli9eZZ+H08OWPxZ+fH7Ds7vxtwwb834nJCMo9lyx2qiVz7d71F1dXj6GhoZCfmy8ByFu6iUQij881XClgvt5vYGDAo6iu658c/5KXGAV5ALN0FAoF0tLSkJaWJgibg2VtqNYCInC4IG4MTU1NQTWTzBSOoio7LgKFydGoG9Djw4ZhXLUmdVrO5yld3NLSAqPR6DZdPFtOII5wHIcXPuvEU4c7AABXrEzGfZcVeKzpnM7OZXf1g3y6uKamBjabTahdjY2NDah+0NULmOM4GAwGigASYYEEIDGn6OzsRENDA3JycrBo0SKfX5ThFIAikQhDQ0Po6elBTk4O8vPzPd40Hj7YBKudw/aCeGwvcB7JEMya9Hq9IHr5OkONRiM0ugSLt/Tt0NAQKisrkZqaiqVLl3odJh1qBJBlWZw8eRIsy6KkpMRjqlFI/yYHP+iWYRgoVSr8vXGyDvPKNSkoXh4LjUYTdDPJdOLp2u5cloC6AT3eqx2aFgHoir/pYrPZPKsC2s5yeOhgM147O2mhd0tJJn54fo7X13AmR9fI5XKkpqYiNTXVqX6QjxD6Wz/IcZzHFDDVABLhgAQgMWew2Wzo6enxGB1yR7gEoM1mg8lkQk9PD9asWeN1ztaRZg0+bhyGRMTg7ksWT/l7oClg3tUjKysLBQUFwo0qXC4erscI1NIt1Ajg+Pg47HY7IiMjhXo/T9QK9X+hRTjerRlCw5AJCjHw/e25iI+ShdRMMhO4CphdhYl4/ON2nOoYgcZgmVLXNt24povHx8eh0WgwMjKCsbExaDQan+nicGOy2nHPvxvwQcMwGAB378zHtRt8d8bP1uxCd/WDfNrdtX6Qj07z7z++JtZdCpgEIBEOSAAScwapVIri4uKA9hGLxbDZbCGdl4++sSyL/Px8r+LPamfx0HuNAIBvbspEXsLUSJW/TSC+XD3CIQBdj2G1WlFZWQm9Xu+3pVsoNYBdXV2oq6sDwzBYsWKFz0gb3wG8NCX4CKDZxuKJT9oAALuyRU7CKdhmktkgMzYCRanRqOnT44P6YexdlzYr6wAmrxtfk8oLkOjoaI/pYqVSGXbBNWq04of/qMHZrjFIxQz+3+6l2FmY6HM/3uFnLjSuiEQixMTEICYmBgCc6gdbWlowMTEBlUqF2NhY4bPpKADtdjsmJiaCsoJ75pln8Oijj6Kvrw9FRUXYv38/tm7d6nH7w4cP484770RNTQ3S0tLwk5/8BLfeeqvw9wMHDuBb3/rWlP2MRuOsWhUS/kMCkJhTBCo2Qm0C6enpQW1tLbKzs6HX633eJP52qhstQwbERkrx/e3uh7H6UwPoj6tHuAUgP84mKioKJSUlfke6gkkBsyyLuro69Pf3Y/ny5aiqqvIppHQGC/o/d+sIxQLub6d70TtqRkKUBBdleF+3P80kvMPGdHnweru2lyxLRE2fHgfrhmZVADrC16U51r0ZjUahfjDY7mJv9I+Z8L2/VaN5aAJKuRiPf63I7zE+/Pt/LghAVzzVD2q1WvT29gIAqqqqEBcXB5vNhtjYyTmGgdYAvvbaa7jjjjvwzDPPYMuWLXj++edx6aWXora2FllZWVO2b2trw2WXXYZvf/vbeOWVV/DZZ59h3759SExMxJVXXilsp1Kp0NDQ4LQvib/5AwlAYk4RqAAMNgVst9tRV1eHgYEBrF69GomJiaisrPR6LN2EBU9+0goAuOPCfKg8DOj1Jdz8dfUIxzgZ/nry43T8ra10PUYgQtRxvl9JSQkA/6zgavvHAQBZsQpEy4P7aho1WvH8Z50AgJs3JkOGgYD2d9dM4piui4yMDNqZxBfuXpOdhYn4/YdtON0xiqFxMxKVoY87ChV3XcARERGIiIgQrpurzZo/3cWeaB4y4LuvVmFw3IKkaBme/foKLPbSIe7KXBaArjjWD+r1epw+fRrx8fHQarX41re+heHhYSQlJeH111/HpZde6rcN5mOPPYabb74Zt9xyCwBg//79OHjwIJ599lk89NBDU7Z/7rnnkJWVhf379wMACgsLcfr0afzud79zEoAMwyAlJfgxRcTsMvc/EQThhWAbLo4dOwa9Xo+SkhKh6N2XcHvy41aMGm1YkhyNr63zXHfkaU0cx6G5uRllZWVYsmQJli9f7lVAhCMCyFNbW4tVq1ahoKAg4JRmIBHAkZERHDt2DJGRkdi0aRMiIiKE8/k6Rt3n9X+hRP9e+KwT4yYbCpKicOnSON87eIHvks3NzcW6detw3nnnCd2y9fX1OHLkCMrLy9HZ2Qm9Xh90mtzbfmlqBVamK8EBOFQ/HOQzCS++xsDw6eKcnBysXbsWW7duFd53LS0tOHLkCM6cOYO2tjaMjo56fY+f6RzF9S9XYHDcgryESLxy4+qAxB8wvwSgI3ykNTMzE6tWrUJpaSkeeughmM1m/PnPf0Zubi6WLFmCd955x+txLBYLzpw5g507dzo9vnPnTpSWlrrd59ixY1O237VrF06fPu3UmKbX65GdnY2MjAx8+ctfRllZWZDPlpgNKAJIzGsCFYB8JMy14cLXsRoG9Hj11GRK8GeXLoZY5PkG6E64WSwWVFZWYmJiwu/au2DHyfCYzWbBQWXjxo1+ndMd/kZlPc33cxSA3oRDXd9kBDDY+r/uESNePT2ZNrvzwlyIRaHNL3RFKpWG7EwSDLsKE1HZM46DdUN+NTxMN4HOAXRNczqm2b2liz+oH8ZP36yDxc5hdYYKT11d5NMWzx18A8hsj64JFNcOYIVCgaKiIjAMg6NHj2JsbAyHDx/G4sVTG9EcGR4eht1uR3Kys690cnIy+vv73e7T39/vdnubzYbh4WFhcsCBAwewYsUKjI2N4fHHH8eWLVtQUVGBgoKCIJ81MZOQACTmNf42gdjtdtTX16O/v9/jYGmxWOx27ArHcXjovUaw3GRKbnOu98gSLyT5G+XIyAjKy8uhVqsDcvUIJQLIO23wNUOh1OX4WodjvZ+7Dm5/I4A1vAAMMgL4xCftsNo5bM6NwZa8WIyNjQV1HH+YjmYST3/fWZiIRz9oxdmuMQyMmZGsmt00cKgdta5pdnfp4pM6BV4sGwcH4ILF8XjkK0uhkAaXbp+tDuBQ8TQEmm8AUavVuOKKK/w+nuv7y59Iruv2jo9v3rwZmzdvFv6+ZcsWrF27Fk8++SSeeOIJv9dFzB4kAIk5RaC/0iUSCcxms9dtDAaD07BjTwXpYrEYJpNpyuMfNgzhWKsWMokIP9np+5ctf7NhWRY9PT1oaGjAokWLkJPjfVaZK8GMX+E4Dp2dnWhsbMTixYuRkZGB/v7+sFu58ZjNZpSVlXmd7+ePADSYbejQTgAAlgYxA7Cmdxzv1gyBAXDnhXl+i85wEUozia81pqjkWJOhQln3GN6vH8J1Dq4zs0E4nUAcu4tzcnJgtVrx2KEmvFI2me7ekszimzlG9HV3Bt1dfK4JwEAGSQNAQkICxGLxlGjf4ODglCgfT0pKitvtJRKJxxFdIpEIGzZsQFNTk99rI2YXEoDEvMZXCrivrw81NTXIyMiY4iXsz7EsNhYPH5z8QvtWcRYy43xbMPFf2pWVlRgZGXFrr+YPgaaAeUs3jUaD9evXIzY2VhAXoTp5uNt/ZGQEZWVlTn6+nvYHvAud+gE9OA5IVsoCnnfHcRx+9+Fkc86XVyQJHsKzmfILpJmEF83e1rtrWSLKusdwsHb4nBKAjljtLH59sBVvVEyKv+9vy8YN65M8dhfHxsb6ZYl2rgnAQG3gZDIZ1q1bh0OHDmHPnj3C44cOHcLu3bvd7lNcXIy33nrL6bH3338f69ev95jB4DgO5eXlWLFiRUDrI2YPEoDEvMaTAHScsbdixQqPv3QdcZfq/PPxTnRqjUhUyvCdrTl+rcloNAKYjI7xrh7BEEgKeGJiAmVlZZBIJCguLhYiTAzDhNxM4i4C2N3djbq6Ord+vu72B7wLwNreyXTt0iAGQB9u0uJ05yhkYgY/2J4T8P7TjavlmtVqhU6nc3ImASZdcOLj4906k1y8NAEPv9+Cip4x9I2akKqevVEb0yEAJyx2/Pj1Ohxp0ULEAL+6tABXfu5+4q27WC6XCzWXnuouzyUBqNfrgxoCfeedd+K6667D+vXrUVxcjBdeeAGdnZ3CXL977rkHPT09ePnllwEAt956K5566inceeed+Pa3v41jx47hxRdfxKuvvioc8/7778fmzZtRUFCAsbExPPHEEygvL8fTTz8dwrMmZhISgMScItAbizsByPvbMgzjccaeP8caGjfjmcOTA4XvumiRX6NJeFcPAFixYkXQ4g/wXwDylm5paWlYsmTJlJtdKIOc+XU4RhK91fu5wy8B+PkImEAt4Gwsh8c+moz+fXNjxhRhNFMp4EBwbSbh6zV1Oh3a2trcNpMkKeVYl6XG6c5RvF83jBs2z14UMNxDlbUGC277ew2qesehkIjw6J5CnL946vvKNV3sOES5tbUVRqPRqe6STxefSwIw2CHQe/fuhUajwQMPPIC+vj4sX74c77zzDrKzswFMfm91dnYK2+fm5uKdd97Bj370Izz99NNIS0vDE0884TQCZmRkBN/5znfQ398PtVqNNWvW4NNPP8XGjRuDfMbETEMCkJjXSCQSpyaQ/v5+VFdXIz093a0Y8gbfUNI8qMe42YZXTnRhwmLHinQVdq/07sXKsiwaGhrQ09ODVatWoaKiImTx4UsAchyHlpYWtLW1oaioCGlp7gcFhysCaDabUV5eDrvd7rWW0t3+/Ho9wXcAF6YGFgF8o7wfbRojYiIkuLnEeSbafOj6ZBhGuI6rV6/22kyyLTcapztHcbBuaFYFIMuyYbu23SNG3PpqNTq0RqgjJHjq6uVYneFft7q37uKenh6wLDur1n6h4q0GMBj27duHffv2uf3bgQMHpjy2fft2nD171uPx/vCHP+APf/hDUGsh5gYkAIl5DR+1cxRgy5cvD2o46aDBjucqTBg+WwWD2Sa4UtyzqwAiL2NfTCaTUyNEZGTktNi4OcJbuhkMBmzevNmrM0CoaxGJRLDZbCgtLUVcXJzP+YWu8GLB0xosNhZNgwYAQGEAHcATFjue/rQdAPDd87KhUsz/rzNvzSSJJi0YAFW94zjb0IFl2cmz4roQrhRwXb8e+/5WjWGDBWlqOZ69ZgXyEgKrb3PEU3dxf38/JiYmhPcvXz8414UhPwfQEb1eH1QEkCDcMf+/MYlzimBSwDabDSdOnPBqq+YLi43F/iM9aB5hkRYnQv/oZF1WpEyMdq0R67Jj3e7nydUjWIcSR/jUq+sN19HSzZ+xMsF0EzsyODgIu90eVCez4xo80TSoh43loFZI0F57Fu0A4uPjER8f79Vt48DxLmgMVmTGKrB3nfsI7VxMAbvD0/VxFDVFRRz+2VOGM916/LeyF6O9rdPqTOKJcAjA42063PHPWhgsdixOisKz1yxHUhhdThzTxTKZDAMDA8jMzHSbLo6Li4NKpZpzaWKbzTalhMRxDAxBhAoJQGJeMzIyAovFgpSUFCxdujToL/EznSPo0JmhlgEmKwuDhYWIAeKjpHirog+7V6ZAIv7i2I7p18LCQmRkOKfkwhUBBJwjAfwg69zcXOTn5/t1Iw7Gy5c/L99IwzAMcnPdex/7gzcRWvt5+jdFbkVyciaio6Oh1WqFBomYmBhBEPLOIkPjZhw4Pjle5fYLciEVT33d50MKGPBfpDIMg8tWpOBMdzOqxuS4+yvrpzSTxMTECKLGXTNJuNYbyOesZciAw81a2FkOJbmxaNdO4BdvNcLGctiYrcb+q4qgnMborTvvYk/pYsfO7Nl+/7iLAE5MTPjV0EYQ/kACkJiX8ClffsZaYWFhSF/YA+NmcBwgYYC+z1O/aWoFlAopdEYrJix2qCImb3r+uHqEKwIIfFFz1dDQgN7eXsG7OJDjBCpG+Xo/m82GtWvX4tSpUwHt74qnRhSO43CsYfI1XJOTiPz8fNjtdie3DY1Gg+HhYTQ3NwtdnwdqzDBaWaxMU2Ln0gSP553vEUBXLlqSgN++14y6fj36xm3ImgVnEn9rADmOw3NHOvGn411gOYAB8MynHbCxk6/JrsJE/PaKJZBJpjfy5q4JxDVdrNfrodFoMDg4iKamJsjl8llPF4e7BnCu0t7e7vbH5fbt2/HJJ5/M/IIWECQAiTmFPzcWo9GI8vJysCyLDRs24Pjx425/LQdCikoOsYiBxcrBYJlsKomLkmHMZEV6TASiPu8AHh0dRVlZGVQqldf0azgjgEajEXV1dbDZbCguLg44xR3oWvj5fny9n8VicZuKDnQNrmLMZrOhurpaaADZUJDidHxHt42srCzY7XbodDpUtA/iv3UjAIDLs2zo6upyG/Ga7QjOdBAXJcPGnBgcaxvBwbohfHtLFoDpcSbxhL/vg+PtI3jp+OTsPrmEgcnKCuKvJDcWj+xZCtEMvEZ2u91rxJJhGCiVSiiVSuTk5MButwvdxW1tbaiuroZKpZrxdLG7dZ+LKeDMzEz09fUJ/93f34+LLroI27Ztm8VVLQxIABLzisHBQVRVVQkpXx53v5YDYV1WDBYlRuFMuxGf36NgMNvAcsAVq1IhYibntPnr6iESicIWATx9+jQSEhK8Dlv2RiBjYPj5fo7P0V8vX184rsFoNOLs2bMQicXoM4oAsCj0MQOQT+O98WE/OADb82Nw3pI4p4gXnyrmLfDmA4FGKS9ZljgpAGu/EICuhOJM4s96/XkfvFszCI7jIJeIYLSysNonn6dYxIDluBkRf0DgcwDFYrHwPgImrx0/jLqqqmrG0sV2ux0SifMt+lyMAIrFYqFpz2Qy4Stf+QqKi4tx3333ze7CFgAkAIl5AcuyaGpqQmdnp9PIE/7mGarYkopF+PmlBbj1T0MYtTCQiRlEySX4yqpUXLYsAZWVldBqtX67egTq4uEKb+kGABkZGSgoKAgp+uZrLXy9X19f35T5fvzNM1yzBLVaLcrLy5GcnAxZQhaM1hOIkIqQEx8JjvX+Op7qGMHhZi3EDHDXxYuQER+JjIwMp6hNS0sLjEYjoqOjwbIsxsfHA7bPmmkCWduOJQn49bvNaBg0oE0zgdx43xHhQJxJfDWT+CsAR42TP6DsLATxFyEVwc5xGDFO9dyeLsLhXZyamorU1FQhXazVajE0NDSt6WJPEUBvHf/znZtvvhnj4+M4dOjQnGvKORchAUjMKdzdWIxGIyoqKoQUqOMvYIZhwlJvBwBpMZHIjQaaxoDzFsXj4T1FENnNOHniBKRSaUCuHqFEAO12O6qrq6HVaoVfx6GIF18C0LHez12KORy+unwUko+iLlmyBFlZWXirctJvdGmKEmIRAzvn+XmyHIfff275dtWaVCfh4xi1KSgogNFoRH9/P8bHx3H27FkhIsZHvObSCJBAr6s6QorNuTE42qLDwdoh3Lo1O6D9/XEm8dRMwpcC+HNzXpmuwmetOhgtk58DmZiBVMyAtQFrM9UBrTkUQi0PccQxXZydnT2t6eJwWcHNFx588EG89957OHny5DktcucSJACJOQ3vcuE6ZsWRcAlAkUiEXuPkja44Lw6GkWFUV1cjKysLBQUFAaeRgokAOlq6lZSUoLS0dFrnCbrW+7m7vo7NKKHQ1tYGnU7nFEXlO4CX+TEA+r3aIdT06REpE/sUPREREUhOTkZHRwe2bt0q1MO1t7ejtrZWuEnzjhGzHR0M9Py7ChMnBWBd4ALQFVdnEm/NJGq12u/17lmVjFdOdmPYNvm+ETEMzFYWSoUE39iQHtKaA4Fl2WkT/K7pYrPZLKTaQ00XuwpAjuPO2Qjgv/71LzzwwAN49913kZ+fP9vLWTCQACTmHAzDwG63CynfZcuWIT3d8w3D1Q0kFHonJr+cI8xa1NQMY9WqVUhKSgr4OME0gQwODqKystLJxSTUGX6A5xEs7ur9PO0PBB8BtFgssFgsGB8fnxJhrO2b9AD2JQAtNhZPfDxpy3dTcQYSomV+nZuPVvFesYsWLYLZbIZGo4FGo0FXVxcYhnGKDspk/h17NrlwSQLuf6cJzUMTaB4yYFFieBoDfDWTGAyTA7s7OzuRlJTktZkkJlIKpUKCYYMVMjEDsYjBppxY7NuWjaw4/1xkwsFMWsHJ5fKwpYs9WcGdazWA1dXVuP766/HTn/4URUVF6O+fzArIZDK/ym2I4CEBSMw5TCYTysvLYbVap6R83RGuCOCY0Qrt5AQYqDl90EOlA10Tx3Fobm5Ge3s7li9fjtTUL4Yah1pLCEztwHWs91uzZo0wG80Tvpw8vDE2NoazZ8+CYRgsXbrU6XpyHIe6fv8igK+e7kXPqBlJ0TJcv8k/GzRPwkQulwv1cCzLYmxsTBCDtbW1UCqVQlQnlG5ZfwlGWKsUEmzJi8XhZi0O1g5h0fbp6Qx1bSYxGAw4ceKEUJYBeG4meb9uCG0aI6LlYrx963ooFdJpH/nijnCmgAMhlHQxx3Fu130uNoGcPn0aExMTePDBB/Hggw8Kj9MYmOmHBCAxp2BZFidOnEBsbCwKCwundMG5I1wC8GRjDwAgPoLBjq3FId00/I0A+rJ0C7elnK96P3fwncCBCpX+/n5UVVUhNzcXfX19U6IwvaMmjBptkIoZLEqcvKnxNWaOjBqteP6zyYaY27bnIELq/+via80ikQgxMTGIiYlBfn6+kMLTaDRCt6xjdNDfGtBACUZk7lqWOCkA64awb1v2jKSx+ehoUVERRCKR0EzS29vr1EyiionFU4fbAQA3bMpAfPT0XDd/mMkIoDcCSRfzs0Udv4PsdjtMJtM5NwbmxhtvxI033jjby1iQzP6ngiAcEIlE2LRpE1asWOGX+ANCF4B8BO7j8iYAQGGyMuSIgT9rGhsbQ2lpKRiGQXFxsdvannAIQD4FPDo6imPHjkEul2Pz5s0BRTcDSUVzHIempiZUVVVh5cqVWLRokVMUkmU59I6Y8HbVZKonOy4SXqyW8cfPujBusmFRYiSuWOm/C0IwgohP4S1fvhxbt27FqlWrEBkZiZ6eHnz22Wc4efIkWlpaoNPpQn5deIJNrV+wOB4yMYM2jRGNn3spTzf8WvkfBXwjyfr163HeeechNzcXNpsNfz5chw6tCUoZg/PTJlOhszWUe64IQFf491pRURHOO+88rF27Fmq1GkNDQzhz5gwAoLm5GYODg5iYmIBerweAoGoAn3nmGeTm5kKhUGDdunU4cuSI1+0PHz6MdevWQaFQIC8vD88999yUbf71r39h2bJlkMvlWLZsGd54442A10XMLhQBJOYcERERAd1ceT/gYHB09bBEJgIYRl586NEKX8KNt3TLy8tDXl6eR7ESrgjg2NgY2tvbg/bz9TcCaLPZUFlZifHxcaeIJr8/y3Io7x5Fde8YjrVqAUz6LZ9o12FjTixcV9U9YsRfT09GZu+8MA9ib0oxzDh2y+bl5cFisQgRm+rqarAsK6Tv4uPjA5ql5+5cgRItl2BLfhw+btTgYN0QliRPf2qQfy+6Wy/fTBITl4BDH4wBMOOalbEwjY/gdFf7tDmT+LPmuSgAHXFNF4+Pj+PUqVOQSCRoa2vDvn37IBKJkJqairKyMmzdutXvWtXXXnsNd9xxB5555hls2bIFzz//PC699FLU1tYiK2vqHMm2tjZcdtll+Pa3v41XXnkFn332Gfbt24fExERceeWVAIBjx45h7969+PWvf409e/bgjTfewNVXX42jR49i06ZNYb02xPQxtz8VBOEHEokkqAjg6OgoSktLIRKJUFxcjJbPCwBzY0O/MXkaA8OyLGpra1FXV4fVq1f79PMNVQCyLIuRkRFoNBqsWbMGubm5QYkNf/yEJyYmcPz4cSG97Bip4AXgwLgZ1b1jUEdIoTdNivZFiVFoHNCjW2eccswnPmmH1c5hU04MzssPbLhzOMbXOCKTyZCSkoJly5bhvPPOw5o1a6BUKtHf349jx47hxIkTaG5uhlarDVt00BeXLJu0BHy/bnhGImyOEUBP/KOsD/1jZiQpZfjujmVYvXo1tm7dKpR0tLW14ciRIzh9+jRaW1sxOjo6rWufDwLQFYZhIJFIUFBQgE2bNuH111/HlVdeiYmJCVx77bWIi4vD5ZdfjhMnTvg81mOPPYabb74Zt9xyCwoLC7F//35kZmbi2Wefdbv9c889h6ysLOzfvx+FhYW45ZZbcNNNN+F3v/udsM3+/ftx8cUX45577sHSpUtxzz33YMeOHdi/f3+4LgExA1AEkJhzBCpQAk0BcxyHrq4uJ1cPO8uh6fM0Wm5s6F2g7po3+OYWlmX9rr8LRQDy9X5msxkpKSk+mz284SsCqNFoUF5ejrS0NKGD2d3+Q+Nm2OwcomRidGgnBV9eYhREDNA7YkRmzBfR15recbxbMwQAuGuH5yjpbMAwDFQqFVQqFXJycpxm6dXW1sJutwv1XPHx8YiI8Nz1Gor42b4oDnKJCB1aI+oHDChMmd4ooK8ZgBMWO174vF7z1vOyIf+86WM6nUl8MR8FoGsHcHZ2Nnbu3InnnnsOvb29qK6uxvvvv+/zO8RiseDMmTO4++67nR7fuXMnSktL3e5z7Ngx7Ny50+mxXbt24cUXX4TVaoVUKsWxY8fwox/9aMo2JADnFyQAiXlPIALQZrOhpqZmiqtHu8YAi42FQsIgKTL0m4WrcOPdLxITE7Fs2TK/awyDFYC8Z3FMTAzUanVYbOncrYMf7tzY2IjCwkJkZLjv0OUFIMdx4AAcb9NhzGRDhFSEzJgIDOrNggUff9zffzQ59PnLy5NCEjahWtj5g+ssPYPBAI1Gg8HBQTQ1NSEiIkIQg+6cNoJdX5Rcgm2L4nCofhgH64ZmRAB6W+tfT/VAa7AiM1aBr6zyXK/pyZnEtZnEH2cSX5wLAhD4wgdYJBJh1apVWLVqlc/jDA8Pw263IznZ+bVITk4Wxq240t/f73Z7m82G4eFhpKametzG0zGJuQkJQGLeIxaLYTabfW6n1+tRXl7u1tWjrn+ywDpbLQEXhvQdL0o5jkNHRweampqwZMkSZGZmBnSzD0YA9vT0oLa2VohutrS0wGoNzXrLXQSQT2cPDg5i/fr1Xv13+f0TlHJwHId/V/QCAC4rSgaYSauwtJgvomSfNmtxqmMUMjGDH5yfE/SaZwOGYRAdHY3o6GhkZ2fDZrO5ddrgO0JDTRfvLEzEofphvFc7hNvPD7y+MxBYlvV4/FGjFS8dn4zmfX9bDqRi/0RXKM4k/q75XBGAwVoauu7jS8i729718UCPScw9SAAS8x5/mkD6+vq8unrUfz6PLjdGGjZXEbvdLngIb9iwATExMUEfxx88zfcLZycxj9lsRllZGViWRUlJic+UHS8AU1UKtAwZMGayQ6WQYFFSNHpHTFiUGIXM2AgwDAcby+GxjyaHPn9jYzrS1OFLB84GEokEiYmJSExMFJw2NBoNhoeH0dzcDKl08j03PDyM2NjYgKNd2xbFIUIqQs+ICbV9ehSlTZ9ThLeb/J+Pdwvd2pcWJQZ9jkCcSfxpJpmvAtCdD3Cgc0kTEhIgFounROYGBwenRPB4UlJS3G4vkUiEETaetvF0TGJuQgKQmHME+ivSWxMIy7JoaGhAT08PVq5c6fELqn5gMgKYGycLiwC0WCzQ6/WCpVuw8+P8FW98vR8/PNvxRhEONxHHJhA+vRwbG+vRPs4VXgDqJix4t2YAAHDtxnQsSY5CijoCmbERkEkmxe6blQNoHZ6AOkKCW0qmdin6S7ibQMKBo9NGVlYW7HY7urq6hCixyWQSooP+RrsiZWJsWxSPg3VDeK9uaFYE4LDegldOTXZr/2B7DkRhigS5cybxNEzZ0+Du+SoAXcdgBTMEWiaTYd26dTh06BD27NkjPH7o0CHs3r3b7T7FxcV46623nB57//33sX79ekFsFxcX49ChQ051gO+//z5KSkoCWh8xu5AAJOY9nmoA+aYLu93u09Wj4fMIYH6cImSxNDg4iPr6eojFYmzYsCGkm48/AtCx3m/dunVTbhz+dPD6ghdw/Pia/Pz8gDqK+f2f+qQNRiuLFekq3H7BIohcxrpMWO147shkE8F3z8uCSnFuf0WJxWKo1WpIpVIUFxcL0UGtVitEu/hUcWxsrMfZmJcsS8TBuiEcrB3CnRcG1+ntD54E4IulXZOva5oSFyyOn5ZzA1OHKfvTTDJfBaC7CGAwQ6DvvPNOXHfddVi/fj2Ki4vxwgsvoLOzE7feeisA4J577kFPTw9efvllAMCtt96Kp556CnfeeSe+/e1v49ixY3jxxRfx6quvCse8/fbbsW3bNjz88MPYvXs3/v3vf+ODDz7A0aNHQ3jWxExzbn+7EgsCdwJweHgYFRUVSE5ORmFhodco1bDejCG9BQwD5McrYDUFN1TX0dItLy8PnZ2dId94RCKR1/Q2X+/nTZCFIwUMTHoHa7VarF69GomJgaX4GIZBh86Mv5+ZjBL9dGfBFPEHAH883IphgxUZMQpcsy4t5DUDcysC6An+dYuMjERkZOSUaFdLSwuMRiPUarUQ7XKsBzsvPxaRMjH6xsyo7B3HqnTVtKzTnZjqGzXhtbOTNZ0/nOYaRFd8NZNERESA4ziMjo5CJpPNiiVcMHirAQyUvXv3QqPR4IEHHkBfXx+WL1+Od955B9nZ2QAmy2M6OzuF7XNzc/HOO+/gRz/6EZ5++mmkpaXhiSeeEGYAAkBJSQn+9re/4Re/+AV++ctfIj8/H6+99hrNAJxnkAAk5hyhjIHhOA4tLS1oa2vz2pXqSD3fABIXiSiFFBpD4Clgx4HSmzdvBjA5UDVUPIk3PrXd29vr08831BSw1WqF0WiExWLB5s2bg7oJMQyD/z01DDvL4cIlCdiQM7VhpL69F3/6vIng4uQJ1FZXCdEeb2NUvJ1zPuBJoDpGuwoKCmA0GoVauI6ODuHvfHPE+QVxeKdmMgo4XQLQXQTwuSOdsNo5bMxWY3NuYLMaw4m7ZpLh4WHU1dWhpaUF9fX1ITWTzCTeuoCDYd++fdi3b5/bvx04cGDKY9u3b8fZs2e9HvOqq67CVVddFdR6iLkBCUBi3sM3gTiKsE2bNgl+mr7gG0CWpkQHZSs3NjaGsrIyKJVKFBcXQyqVwmAwhKWW0N08QW/1fu4IJQVsMBiEG8GiRYuCNqKv09hwvMsAsYjBjy8ucPob3yn9yLtNsLAMlqdG4zuXLIZWq3Uao8KLoZiYmHmX0vOFP0IkIiIC6enpSE9PF6z9NBoN2tvbJ7u+ZZPvg/dqBnHXjlyIp+EauQrAds0E/l052Qzwg/Nzw36+UODT5wCwadMmJ5/nYJpJZpJwC0CCcAcJQGLeI5FIYLVaUVpaCpVKJYgwf+EbQJYmKwPqugW+SMG6WrqJxWJh7l0oUQbXCKCvej9/juEvQ0NDqKioQGZmJkZHR4N+HizL4ZWqybT61evSkZ8Y5fC3yVEyle2DODYwefy7duQKY1SysrKEMSrDw8NOQ5Z5QeirA3mup4CDWZ9IJEJsbCxiY2OxaNEimEwm5A4O449VrRgyWPF/7xzFhtx4IULor22YP2t1fB8882kH7BxwfkEcVmdMT9QxFPj3vVgsDrmZZCax2+1TXjODwYD09PRZWhFxLkICkJhzBPLFy3EcBgYGYLfbg/a5bXCKALJ+iSVPI1d4+AgVy7Ih1R05ijd/6v18HcMfOI5De3s7mpubUVRUhLS0NJw+fTpoIfVOzQBaRmyIkDC4zSFKZLFYUFZWBrvdjk90MWA5LXYsScDaTLXT/q5jVPR6PTQaDfr7+9HY2IjIyEhBDKrVauHaz9X0njtCXatCoUBOVgYuKtTjrapBtLPx2KpQoKurC7W1tVAqlcI1CkXcODqBNAzo8W7tpFPLbdtzQlr/dMHXLLo+32CaSWaScNYAEoQnSAAS8xbe1UOj0QBAUOLPbLWjdXgCAFCYooTYqvcZAXS0dCspKXFbn8Z/ebv7Ig8EPiJZV1fnV72fO3zZuDlit9uFa+o4uzDYOkKz1Y7HPmgGAFxVpEZC9OQ4nN4hHR5/pwwVGgYWRoqeES1EDHDXRfk+n4tSqYRSqRQs2Pi0Xk1NDex2u5PjxkJjV2Ei3qoaxKdt4/jll5chPz/fKfXJixv+GsXFxQU0oshxEPRTh9sBAJcuS8SS5LkpTPztAJ5JZxJ/IAFIzAQkAIl5iaOrx8aNG3H06FG3s7N80TxkgI3lEBMhRbJKjpERo1cB6K+lm2MEMBRYlsXY2BgsFovf/sHu1uLPOkwmE8rKygBMzvlyjHoEW0f4yslu9IyYEBchwu7Cyfl0nT39+MHfq9FpYCARi6A3mwAA0XIJ5NLAbqxSqRTJyclITk4Gx3EYHx+HRqNBb28v6uvrAQDt7e1ISkqa9bSeJ8KZoi7Ji4VSLsaQ3oKzXaPYkB0DuVyO1NRUpKamCuJGo9Ggp6cHdXV1iI6OFsSgYwTV01oZhkF59xg+adJCzAD7tmWHbf3hJpgRMNPtTOIPVANIzAQkAIk5h68v0/7+flRVVQmuHjw2my1gAcjX/y1JmRyp4akJxDEtunTpUmRkZPi0UmIYJqRGkNHRUTQ1NYFhGGzevDng58bjjwAcGRlBWVkZEhIS3ArbQKKIwjEnrHju08lO6K8vV0LKcGhra8Orpc3omhBDFSGF1c4KHsB2lsOrp7rxg23BDX9mGAYqlQoqlQq5ubkwmUwoLS2FyWRCZWUlOI4ThE58fHzY6uLCQbgEhFQswoVLEvDvygEcrBvChuyYKefhxU1eXh4sFouQ+qyurgbLsk7RQdfUJ/8eeOKTydf1K6tSkBMf+I+SmSIcMwDD7Uzi77pdP4MTExNQKqdvyDex8CABSMwbvLl6BNq8wSN0AH+ewnJ3HJvNhurqaoyMjARk6eaug9df+Hq/5ORkjI2NBS3+AN8CkD9XQUEBsrOz3YqRYFLAz37ahjGTDUuSo3F+dgSGh4dhtVqhj0gCGC2sdha6iUmPYpVCAgbA8TZd0ALQFV7gLV68GDKZTIh8dXd3o66uDiqVSqgDUyqVsxYdDHeTyiXLEvHvygEcqh/G3TsXQeJm3iKPTCZDSkoKUlJSnCKofX19QuqTF4MxMTHgOA51Wg6nOkYhFTP47nnhea2mi3APgQ6HM4k/uIsA6vX6oDIABOEJEoDEnMQ14uTL1SOY8S3AFzMAl6YoheOwLCukugwGA8rKyiCTyVBcXBxQvVQwAtBxvt/q1avBMAxGR0cDOoYrnqJ3gcwSDDQF3KmdwF9OdgEAfnRBDjT9deA4DiUlJfj4/TaYrSwM5snXSypmoFJIMGq0ISLAFLA3XI3rXSNfGo0GGo0GXV1dYBhGEINxcXEzPhIknOJzU04M1BESaA1WnOkcwSY3Mxc9rcExguqY+uS7r+VyOV6rmxTte9emIXWO+zRPtwvIdDWTuApAPvJIEUAinJAAJOY8vKtHUlKSx7q7YAQgx3FCBLDQQQACkzeO4eFhVFVVITMzEwUFBQHfSAKNSlosFpSXlzvV+2m12rD4+Loew2q1ory8HCaTCZs3b/ZZWxRoCvixD1pgtXPYnKMGM1APkViM2NhYvFOnxVuVfbB9nvdVysVQR0phtXEAA1y8NAE2mw0Mwwjdm9NxA5fJZEJdHF9nyQ9Yrq2tdYoOOjpuzAekYhEuWpKAf5X342DtsN8CcMpxXFKfBoMBf/+sHm1jFshEHNbIB9HYaBcabuaiy8ZM28CFq5mEagCJmYAEIDFn4TgOra2taG1t9enqwQ+DDoS+UTPGTDZIRIwwm47/0m1sbER3dzdWrFiBlJSUoNYfiADk5/up1WqsXbtWSPmGw8bN9Rh6vR5nz55FVFQUiouLwz5LsLxrFO/WDIABcEHsCDIyctE3asKDR3Uo7x8AACRESWG2cwDHYXTCBoYBNmbHYPfKJIhEk6+947UTiUTCP3/hRZsv4SoSiRATE4OYmBiha5aPDjo6bvBRnFDS8e6YjjmFOwsT8a/yfnzQMIyfXeI9DewPDMMgIjIKrzdPRv+u35SJNcuUTo0RsbGxQuozIiJiTojm2fQBDqWZxJMXMEUAiXBCApCYk1itVlRUVMBgMPjl6hFMBLB+YDL6l5cYBZlk8suWF5GDg4MoLi4OaeyCvyng3t5e1NTUuJ3vFw4ByEfvOI7D0NAQKisrhQYaf2/S/kYAOY7DwwcbAQCbkjjs3LQch7vtePi9DhhtHGQSEX5wfh6+VZyJyt5xfNo4DLONxfosNYpz1ZBLJUK9IcdxYFlW+P/8azPd0UG5XC5EcRwdN9ra2lBTUwO1Wi0IwnB1gIZbLG3MiUFspBS6CStOto+gJC90i7Z3awfRMWJFlJTBt0qyoFJIhNmMExMT0Gg0GB4eRnNzM+RyuXCNYmNjZy06OJsC0BV/m0liY2PBcZzTDw2r1QqLxRLyGBidTocf/vCH+M9//gMAuOKKK/Dkk096rWvmOA73338/XnjhBeh0OmzatAlPP/00ioqKhG3OP/98HD582Gm/vXv34m9/+1tI6yWmFxKAxJyD4zicOXMGUqnUb1cPiUQSuAB0aQDho3AAsGrVqpC/bH2JN8emltWrVyMxMTHgY/i7DgCCR/Ly5cuRmpoa0DH8bQJ5v3YAZ7tGIRUB3zq/EHcf7MWJNh0AYHGcFPuvXS9EW9dlxWBtphp2u33KwF5+zY4pecd/gUQHQ4mwuTpuOPrxtrW1CXZjvNAJJjo4HRFAiYjBRUsS8I+yPhysHQpZAFrtLJ75tAMAcMXiSKgUXzxPx8aIrKws2O12IdLV2NgIs9mMmJgY4TpFRkbOWHRwLglAR7w1k7S3twMAKioqEB8fD7PZLNQYhvqddO2116K7uxvvvfceAOA73/kOrrvuOrz11lse93nkkUfw2GOP4cCBA1i8eDEefPBBXHzxxWhoaHCKSH7729/GAw88IPx3MP7dxMxCApCYczAMg9WrV0Mmk/l9owgqAvh5A0hhilLoDM3Pz0dra2tYblDe1uRa7+eptifY7mZHeIHR1dUVkEdyoOvQTxjxm7drAABSiRh3vNEIo5WFQirC9atjcGGmeIoNHP/PnVuD6/kdZyvyKWI+sukpOhhuoeHox2u324XoYEtLC4xG46wJHXdcsiwR/yjrwwcNw/jFpYsgFQcvhN6sGECXzgS1XITLFnnvRBWLxUhISBCaivjooFarFSJdoYpmf5mrAtAVxzKDzMxMlJaWIj09HVqtFjfddBO6u7uRmJiIv//977jsssu8lsN4oq6uDu+99x6OHz+OTZs2AQD++Mc/ori4GA0NDViyZMmUfTiOw/79+/Hzn/8cX/3qVwEAf/7zn5GcnIy//vWv+O53vytsGxkZGXS5DDE7zP1PBrEgCfTmGZwAnIwAKswaNDQ0YO3atcjLy4NEIgk56gZ4jt6Njo6itLQUUqnUZwNGqAOljUYjzpw5AwDYsGFDUOIP8J0CHhsbw6OvH8PAxOQ2ExY7jFYWG3Ni8da+zdizLEb4suFTu7yAC1SoiUQiiMViyGQyyOVyyGQySCQSJ/cVm80Gi8UCIPRh3J4Qi8WIi4tDQUEBNm/ejE2bNiEhIQE6nQ6nTp3CsWPH0NDQgOHhYa/vzVD9oj2xLkuN+Cgpxkw2HG8bCfo4Jqsdzx2djP59bVk0IqSB3TYiIyORmZmJVatWYevWrVi6dCnEYjFaWlpw5MgRnD17Fh0dHRgfHw97NNRdLd1ch19zWloali9fjtLSUvz+97+H1WrFn//8Z+Tk5KCoqGhKytUXx44dg1qtFsQfAGzevBlqtRqlpaVu92lra0N/fz927twpPCaXy7F9+/Yp+/zlL39BQkICioqK8OMf/xjj4+MBrY+YeSgCSJwTBNoEYjDb0Kk1AgDiREaUbPrC0i3YkTKuuIua8fV+eXl5yMvL83njd0yBBnoj0+l0KCsrQ1JSEsbHx0OKtHhLAQ8MDODYmUr8remL5xIlF+MnFxfg6nXpEIkYtI1+UYfICz8AYbk5e4oO9vT0CNtYLBZBaE5X7WBkZKQgdlzToBaLZUp0cLoRixhcvDQRfzvTi4N1Q9i6KC6o47x2tg+D4xakquS4OC8SoWhVx0hXQUGBU0q9vb1d+DvfGBHqOJ75EgF0xLUDWCKRYPHixZBIJDh69ChGR0fx4YcfIjc318tRptLf34+kpKQpjyclJaG/v9/jPgCcZq7y/93R0SH89ze+8Q3k5uYiJSUF1dXVuOeee1BRUYFDhw4FtEZiZiEBSJwTBCraTjX1ggMQqxDh4q2bnb5wwyUAHZtA/Kn3c0ewEcCuri7U19djyZIlyMjIQHd3d8i1cK77813aR6pa8VDZF6qgJC8Ov9m9DGkxX8w84yOI/qZ8Q11nS0uLMN8wIiLCqamEX890NpI4pkHdNUlEREQIHbOO/rrhZteyBPztTC8+ahiG5dICodnJXwxmG14snZzn+L2t2ZCIxsJ6vRxT6izLOtXB8eN4+OsUzLDuc0EAAs4jYGJiYnDllVcKf7vvvvtw//33ez3mqVOnALhvNvInAu36d9d9vv3tbwv/f/ny5SgoKMD69etx9uxZrF271uuxidmDBCAxJwn0i14ikcBqtfrcjrd0++hsMwAGyzOmdiiGMwLIsqzf9X6ejgH4LwBZlkV9fT36+vqwdu1aoXg81GYS1xSw3W5HeWUV/lquwdvtX7xWOwsT8cTelW5fP7PZDLPZHFBtZ6DY7XZUVVXBYDBg48aNTpE2x+hgoI0koeDaJGGz2ZzGgVgsFojFYvT09CAuLi6sxfNrM9VIjJZhSG/BsTYdthfEB7T//53sgW7Cipy4CFy+MhktTaPT9tqJRCIh8rdo0SJhqLJGo0FnZ6fwdz5C6I+VnztLtbmOJxcQTx3nt912G6655hqvx8zJyUFlZSUGBgam/G1oaGhKhI+Hr+nr7+93ahwbHBz0uA8ArF27FlKpFE1NTSQA5zAkAIlzArFYDJPJ5HUbR0s3a1QSgCFhALQj4Wi84Nc0MTGB0tLSKfP9/IVPWfoj3nihabVahUHSjscJVQDy+5tMJrz+yWm8WG1B9/gXojAnPtKt+GNZFkqlEp2dnThy5AhiY2OF6Fg4B9uazWaUlZVBIpFg48aNU9KH7jqLeTE4k2NmJJLJ8Sn8CJX29nb09fVhYGAAjY2Ngv1afHw81Gp1SGsQMQx2FibgL6d68V7tUEACcGTCij+fmHSz+P72HEhEzLRGK11xHKrsOKy7s7MTtbW1UCqVwnXyZLnG/n/2zjy+qTJt/1fSJt2b7um+ULq30A1oQRBHZZcWV5RhRmcGdVwYFRzF0QHHGRXn/b1uDIqOyqiMy9CiiIiACi4sQpN03/c1a9M2bfac3x99z5mkTdu0TdoUnu/n0z96cs7J82Q717mf+75uk2nGu7pMl8maQJsX3IxHfn4++vr68PPPP2Px4sUAgIsXL6Kvrw9Lly61egy9rHvq1ClkZWUBGP6dOXv2LPbu3Tvmc1VWVkKv10/abYAwsxABSLgimChqp1KpIBQK4e7ujqVLl+KNf5UCAJJDR9sq2CsCODQ0BJlMhvnz59uU7zcWtkTvBgYGIBAI4Ovra1VoTraVm7UxUBQFibwXf/1MgJNtFEae7e+3pFnM0Tznz9fXF0uXLoVarYZMJoNMJkN9fT08PDyYC5i/v/+Uxc7AwABEIhH8/f2Rmppq03lG5g5O1WZmOrBYLLi5ucHDwwNZWVkwGAxM1KuyshJGo5GJegUGBk6qFSHN6pRgHLrUhe/q5NAaTHCzcRn43QvtUGmNSArxwqqUYYHhqIKVibBm1k2/TnTLNfPoIP06XUlLwNO1gElJScGaNWuwbds2HDhwAMCwDcyGDRssKoCTk5PxwgsvYNOmTWCxWHjkkUfw/PPPIyEhAQkJCXj++efh6emJu+66C8CwvdShQ4ewbt06BAUFoaqqCjt27EBWVhaWLVs2rTETHAsRgASnZLIXmfGKQMRisUVLN4CFOollD+CR55pOtMxkMqGurg5yuRwBAQGIj4+f8rmAiQVgT08PysvLERcXh/j4eKuvnT2WgMu7B/HoqcsQq4fPvy6djybZIGp6VNiQwceCCB6z/8hiDzqS6enpiejoaGYpVKFQQCaTobKyEgaDAYGBgYwgtFXsSKVSlJeXIzY2dpSRtq1YKySZDRNqV1dXC7NglUoFuVyO7u5u1NbWwsvLyyLqZcsYFkb6gu/DhXhAhx8bFbg+aeJokXRAi48udQEAtq+MBdusq4ozdPhwc3NjWvnRLdfkcjk6OztRXV0Nb29vBAYGQqPRzLnuGdaWre3VBu7QoUPYvn07U9W7ceNG7Nu3z2Kf2tpai/7jf/zjH6FWq/HAAw8wRtAnT55kXlcul4tvvvkGr776KlQqFaKiorB+/Xrs3r17zi2/X20QAUi4IrAWtaMoCnV1dWhvb0d6ejqTz9IiH8KQzgg3VzZiAkbnW00nAqjT6VBaWgqtVovo6GhotdopncecscQbRVFoaGhAS0sLFixYMG5OznQE4KDWgP/5tgVfN2lBgYVgby72bEgGx5WNez8UgePCwqPXz7cYlzVz55GMFDsDAwOQyWTMRdzHx4cRg2Mt8bW3t6O+vh6pqal28yAba6nY3L7GfF97RAetzY3FYsHHxwc+Pj6IjY2FXq9nol7l5eWgKMoiOjhWTtzwMnAwPvi5E19XS20SgG/91A6NwYTMSF+L6mHatseZMG+5Nm/ePOh0OigUCigUCvT392NgYAB9fX1MdNDd3X3ik84iBoPBIRFAYDhK+uGHH467z8iVAhaLhT179mDPnj1W94+Kipq0JQ3BOSACkHBFMLITCC3ENBoN8vLyLH48af+/hBBvuFoxx52qAOzv74dAIACPx0NWVhY6OjowNDQ0hdlYYk28GQwGlJeXo7+/H3l5eRNGOWxt5TaScw0yPFlcBvGgCQALN2eG4ck1ifB2c0XhGxcAAFuXRCHSf1hI2yr+rI3P19cXvr6+zEWcXiqmCwBoMRgYGAgXFxfU1dUxxS7jtbKaLuOZUNNRQnoOU4kO2vq+cDgc8Pl88Pl8RjCbR73Gy4lbkzosAM/UyaHWG+HBGTsy06nU4LCwG8Bw9M/8PDOZAzhVuFwuQkNDERoaCo1GAz8/P7BYLCaKSudYBgQEwM/Pz+kErbVla3tFAAkEc4gAJFwRmIs2uqUbj8dDfn7+qHy4/3YAsX5HzWazJ+UpCFj395vuUrL5eMzPMzQ0BIFAAC6Xi/z8fJuqIScbAVRpDHjhRA0OC4d9wIK9XPGrZBfcu3G4/+d/SjpRJxkEz8MV968Y9iObTGePieByuRYFAEqlEjKZDI2NjSgvL4er63DP4PT0dPB4vIlPaCdsjQ6a+w3aIjAm+1qZC+a4uDgm6iWXy1FaWgoWi2WRE5cR7oNwnhu6+rT4sVGBG5PHtiF644dWGEwU8uP8sCjGz+IxZ1kCthWKouDl5QU+n4+4uDjo9XqmAruqqgpGoxH+/v7Ma+UM7cuMRuOo3yx7RQAJBHOIACQ4JVPJATQajUxLt/nz5yM2NtbqeZgewFby/4DhaKKtS7d0vl9HR8cofz97VRObize5XA6RSISwsDAkJyfbHL2YjAA8Wy/D059VQqIattXZnBuBX2fy0NPeAmC4y8er3zUCAB5YEQdfd1cL8WNvjz9ze5Do6GgIBAJQFAV3d3eUlpbCzc0NQUFBCA4OnlYhyVTHZi06aC6G6f0caUJtHvUyz4lrb29nooNLwrk40qfFiUrpmAKwSTaEL8qHrUK2rxxtNDzXBODIaBqHw7FIOxgcHIRcLodEImGKksyjg7ORw2Y0GkdVLg8ODtpU6UsgTAYiAAlXBCwWCzqdDnV1dRb+d9aoEdMCcOwIoK22K3S+nzV/P3tGAI1GI1pbW1FXV4fk5GRERUVN6hy22MAoh/R48es6HBENL/+F+bjihZszkD8vEBKJhFmqfPdcK6QDOkT6e+DORZGM+KMFjqMEQn9/P0QiEQIDA5GSksK8LgqFAlKplCkkCQgIYJaLZzLfayKbmbGWiu3d/mxkTpxWq4VcLkeOWowj1cB3dTIIyioRwQ8a1W1j39kWmCjg+qRApIePvkGa6wLQHBaLBW9vb3h7eyMmJmaUP6Ner7eIDs5E9xZgWACO/NySCCDBERABSJjzqNVqVFRUgKIo5OXljftDrRzSo7tvOLqXxLceAbQlB7C/vx9CoRC+vr7Iysqy6u833cpbGhaLhfb2dqhUKuTm5sLf33/S55hIaJyulmDPsRpIVTqwANy6MAhPbciAJ9eFGYPJZIJ0QIt3fhpuAbXj+ni4sCgYjSaHRbZo6ErfefPmISYmhhEhLi4uFp56KpUKMpkM3d3dqKmpgbe3NyMGeTzejIqX8aKD5p8ve0SJx8PNzQ3h4eHYGBaGN8suoUOpQbnMBL36v902AgMDITN64FSNDCwAD10ba/Vcc81WZTLjHenPOLJ7i7u7OyMG/f1HG8jbC2s2MENDQ0QAEuwOEYAEp8TWCzW9JBocHIyBgYEJrUNq/y/6F+nvAR936x//iQSgrf187eEnqNVqoVKp4Orqivz8/CnnKI0lRhWDOjx3vBbHK4aX/fiewPMFqbgmOXzU8RRF4fXvmjCkM2JhhC9uTA50aFs3YDji1NbWhsbGRqSlpY1b6WxeNUvnxdEXcKFQCBaLZVFIMpMGwebRQXN/RL1eD7lcDi6XC51O51CbGRaLhdWpwXjnXDtEChf8+hdLoNFoIJfLIZfL8fcfWwGwcE2UG3ypQRgMbqNubK6kCOB4jOzeMrK3s1arHdXb2V6vy2SNoAmEqUIEIGFOQlEUmpub0djYiJSUFISFhaGrq8vqj6c5ZR39AIBk/th302MJN/N8v4ULF1ptrG7OdCOAdDGLi4sLYmJippWgPnIsFEXheIUYzx2vRe+QHmwWsC6Oiz23LYaP5+hlUxaLhY4BI/4j6AQA7LhhHmMJ4ihBQPdPlkgkyMnJmXSxB5fLZbziTCYT+vr6IJPJ0NzcjIqKCvj5+Vl0JJkpYUMvk9OdaQAgMTGRSRlwpAn1mpRhAfhDowKDWgO83N0RERGBHqM3qnqVcGEDd2b4oqmpCZWVleDxeAgKGl4q9vLyumoE4EhG9nZWq9WQy+VQKBRoamoCh8NhxKC/v/+kO/6YM1YruLnmZ0hwfogAJDgtY1mX0BYofX19WLx4MXg8HrOfwWCwWhVb1d2Pjy914mS1BAAwoNFDMahDgNfofa0JQHNbGVv7+U4nAtjd3Y2KigrEx8dbmLJOFfMcQMmAFnuO1eCbGikAIMIL2J4XiI3XLBzzYslms1HcaISJAn6RFIjsKJ5D8/0MBgPKysqg0WiwePHiaVdnstls+Pv7w9/fHwkJCRYdSRobG8HlchEcHMx0JHF08r9arYZAIIC3tzfS09Mt8gYdaUKdxPdCTIAHWhVqnKlXYH36cDHEa2eaAQC3ZIZheVYCM0Y6OkiLHKPRiIGBAcaKx9lxxJI1bWju6emJqKgoGI1GKJVKKBQKNDY2Qq1Wg8fjMcUk3t7ek/qejBSAdLHKTOUgEq4eiAAkzClGtnSjxR5tu2JNcNWJVXjuy1rIBnVQ64cfb5QN4a/Ha/F8YSrcR3iijYyWmef7WbOVGYupRAApikJ9fT3a2tqYKGNZWdm0cwnpsRQLu/DCiTr0awxwZQOrIik8sHI+5s+zXjFNc7m9H+VywJXNwmO/mOdQ8adWqyESieDm5oZFixY5ZKnWw8MDUVFRzAWc7khSXV0NnU6HgIAARhDau5CE/jzx+XwkJSVZvI6ONqFmsVhYnRKMt35qw9fVUqxPD8FPTb0QtPfDzZWNe5dFM/t6eHggMjISkZGRjMiprKxEd3c32tramAgqbZ/ijJHBmchZdHFxYaJ/9M0FHR1saWmxeNzf33/Cz/NYOYAkAkiwN0QAEuYMdMuzmJgYJCQkjLrgjDSDpvmirAfyQR2i/T3QrlADACJ57qjqHsD5JgWuS7K0xDAXknQkbqJ8P2vQVaq2LpsZDAaUlpZicHDQwrzaHsUkcg2Fly52o6RreP7zA7i4PVaHdUstrWusYTSa8PoPw0u/14QBOnkH5KzhZUF7X1z7+vogEokQEhKCpKSkGSk4GFlIMjg4CKlUyhSSeHl5MTYz0y0koX36RhazjIUjbGZWpw4LwB8a5DhVI8Ub3w8X9WzOCQff13oOLS1iOBwOkpKS4O7uzkQHGxsb4ebmxoic2bJPGQn9es100Yq5cKY9LBUKBZqbm1FZWQlfX1+mmMTHx2fUZ4DkABJmCiIACU4LvQRsMplQX1+P9vb2cVuejRUBrOzuhwfXBWq9CRQAFzbg48FBr0aPJtkQrksafR6DwYDa2lq0t7fblO831ngA2xLnBwcHIRAI4O7ujvz8fIsowXQEoMlE4ZOSTrx4SgGNgQLXhYVbkz2wIkSPRbl5E1YWUhSFL8q6USMehBfXBY/emADDoBLV1dXQ6/VT6t07FhKJhFn2jo6OnpWIkrk1CG0cTBeSiEQiALCY82Sik11dXaiurkZqairCwsImPbap2syMOg8ocFxY0BspPFZUPXxONnB3XuSEY6A/yyOXQOkCidraWuh0Ovj7+zOCcLbMlc3F8Wxh7mE5f/58aDQaxrCb7nBjbtjN5XLH7AVMIoAEe0MEIMGp0el0EIlE0Ol0E+bejSUA/T056OnTgOJQ8PfkwIXNAkABFODjNvorQF9YJRKJzfl+1jCP3Ix3EZLJZCgtLUVERAQSExNH7TtVAdimGMKfPq/Gzy29AIDkQA62JrMR7eeKzMzcCTuIUBSFIa0Or3zbBADYdk0MEqLDAIQxlitSqdSiFRm9bGotsjHe87S2tqKpqQnp6elTEtuOgsPhWBgs04UkLS0tFkUSQUFBY+Z6URSFlpYWNDc3IzMzc1yPyslgq82M+X46I4Xf/bscBqNlbq3RBBSLenDvNdEYD2s3MyMLJGj7FKlUamGuTEcHZ0qQOYMAHIm7u7tFhxvasLutrQ1VVVXw8fGB0WjE0NAQU1ms0+lgMBimbQPT29uL7du34+jRowCAjRs34vXXXx+3jWJxcTEOHDiAkpISyOVyCIVCZGZmWuyj1Wqxc+dOfPTRR1Cr1bj++uuxf/9+REZOfENBmF2IACQ4LUqlEgKBAH5+fsjOzp4w946O3I3k+uRgVHUPwEhRSA/3gYkCuvu04HlwkB8fYLEvnZ8FAEuWLLGpzdp44wGst3YC/it86uvrkZqaioiICKvnYbPZ0Ov1Nj+v0UThg4vtePmbBmj0Jnhw2LgjxQNZ3gOIiohgTJTHgrYpMZlM+OBiB7r7tQj1dcOvlvz3B93ccsXcbFgqlaKlpQWurq7MsmlAQMCYS4Imkwk1NTWQSqXIzc2Fr6+vzfOcaVgsFvz8/ODn58dEc+hCkqamJnC5XEYI0XOmKAq1tbUQi8UOnd9E0UH6e3GiSgb5oPXP0vs/d+C3S6P+7wbJOhMtqY60TzE3V66urobBYLCIDjrSqNsZBaA5bDab+TzFx8dDq9VCJpOhtrYW1dXDkdlvvvkGPB4PPj4+0xaAd911Fzo6OnDixAkAwL333outW7fiiy++GPOYwcFBLFu2DLfddhu2bdtmdZ9HHnkEX3zxBT7++GMEBgZix44d2LBhA0pKSpwiFYAwNkQAEpyW9vZ2xMTEjNnSbSRjRQBXpYSgUTqIb2qkwzmALMDfk4v7lsciyv+/y1N0vl9MTAyampqmfeGgx2wtemc0GlFZWQm5XI5FixaNexc+mQhgo3QQf/q8CsL24crhJXH+eHhJABRtdfDz80Nqauq4ryVFUTAYjegb0qFfbcDbPw7nh22/Lm5UsYw5tNkwHdno7e2FVCpFbW0ttFqt1aIKvV6PsrIy6HQ6LFmyZEa7dtgDd3d3iyKJ3t5e5gKu1Wrh7+8PrVYLg8Fgl0rmyTAyOkj/tSnUcGWzYDCNrq7vUxug0hrA8xh7WdtkMk1qaX6kuTLdek0sFqOurg6enp6MGOTxeHYVa472qLQ3bm5uCA4ORm1tLZYtWwaVSoVvv/0WH330EQYGBnDttddi7dq1WLNmzag0kYmorq7GiRMncOHCBSxZsgQA8PbbbyM/Px+1tbVISkqyetzWrVsBAC0tLVYf7+vrwzvvvIMPPvgAN9xwAwDgww8/RFRUFE6fPo3Vq1dP4hUgzDREABKcloyMjEktfY5VBOLqwsZDK+dhbRof1T0quLmykRvjx1jAUBSFuro6Jt8vKCgITU1NY0bubGWsymSNRsNEGfPz8ycUPrYIQIPRhHfPteH1M03QGUzwcnPB4zfOR6bPIDo7GsHn8+Hq6jqh+GuXD+JymxI9/Rp8X6+ASmfC/GBP3JQRauOsh8dLX9Tpi/7I7hx+fn6QSqXw8vLCokWLpvU6OwMjl0H7+vpQXl4OvV4Pk8kEkUhk0ZFktvoVxwZ7WxV/AODr7gIPV9a4KQvT8QEc2XpNr9cz0cHKykoYjUYmHy4wMHDaOaVzrWsJAKalIpvNBo/Hw549e3D77bfj+uuvx44dO3Dy5EnceuutePPNN3HzzTfbfN7z58+Dx+Mx4g8A8vLywOPxcO7cuTEF4ESUlJRAr9dj1apVzLbw8HCkp6fj3LlzRAA6OXP7V5dwRTPZC814vnssFgvzQ7wxP8RyGcXc38+88pbFYtmlRddI8aZUKiEUChEYGIi0tDSblkgmEoA1PQN46vMqVHYNdzlZkRCIP69NgLS1DlKJCnl5eejp6YFarR7zHBRFQdKvxslqCfo1Rri6sCD6P9PsvDh/aPRGeFnJl5wI84t+bGwsdDod2tvb0dLSwiwz19bWMkvFc10IAsMCn87nom9i6EKS0tJSUBSFwMBABAcHIzAwcFppBpNlTRof//tNE5RDepinAbIAbMkNBygTDIb/Lp2OtJmxpxE0h8NBSEgIQkJCLNr4dXV1oba2Fl5eXowY9PX1nbSYm6sC0MXFxeI1piuAt2zZgl/+8pcW1d+20tPTYzW3NiQkBD09PVMeb09PD7hc7qj2lHw+f1rnJcwMc//XlnDFYk8BaI2BgQEIBAL4+PiM8vezRxu3kefp7OxEVVUVEhISbLIAoRlLAOoMJrz5fTMO/NACg4mCr7sr/rQ2EasS/SAQCODm5oa8vDxwudxxRSRdPNAgUaF3SI/5wV44dKkTFICEYE94cFzQIlcjLXz6VYgKhQKtra1ISEhAZGQklEolZDIZ6uvroVarERAQwOQOzlb16HSgP1MhISFITk5mosDmhST9/f2QSqVobW1lbEHo5fHJmgZPFg+OC97dmok/fFqBlv+zRGKzgM25Ebh/RRzYLDDWRdZMqB3VCWRkGz+6+loul6O8vBwURVlEB20RzXNVAI4c80gLGHNRvmfPHjz77LPjnvPSpUsArP+eOur9nGsdY65WiAAkXDGMVQRiDTrfLy4uDvHx8VYrG+0VATQajaipqUFHRwcyMyf23bN2jpHirbyzH099Vok6ySAA4IbkYOzekAyOYQgXLlxAaGgokpOTmQuFeScQc8zzw+SDerhxXHCktAflXQNgAdiQEYohvRH9GtuLUKxhXgmbkZHBvAa0RUZiYiKzVCyVSlFXV2dX/72ZQKFQoLS0FLGxsWPmrbJYLPB4PPB4PKaQhC6eaW5uZopnaINlRyTRJ4R448sHl6C8awC9Q3qkhnkj2Pu/y61jmVAPDQ0xNwsGg8GuLepGMrL6mq6W7ejoYCrOzaOD1l7ruSoArbWBG6tV4UMPPYTNmzePe87Y2FiUlZVBLBaPekwqlY7bX3siQkNDodPp0NvbaxEFlEgkWLp06ZTPS5gZiAAkXDG4uLhMWC07Mt9vLMsRewlAFouFuro6GI3GKVvK0CISADR6I/adacI7P7XCRA1b3Px5fTLWpoWgs7MTpdXVSEpKQnR09KhzmLfVM283Rj/u6sLGEVEPuvo0AIANGXzwfblokA7Bkzt1IWIymVBdXc0UvIzlZ0ZXj9L5YSP998yFkSO6g0yH7u5uVFVVISUlBeHh4TYf5/5/vXgjIiKY4hmZTIa6ujqmkMQREVEWi4UFEeNXJJsLPJVKhfLycoSGhsLNzW3KJtRTHSstmufNmwedTsdEBzs6OsBisSyig/Rn40oRgOOZQNPfiYnIz89HX18ffv75ZyxevBgAcPHiRfT19U1LqOXk5IDD4eDUqVO4/fbbAfz35vqll16a8nkJMwMRgASnZbIRn7GKQGjGyvezhj26b6hUKqjVanh7e0+qhdxYYylpU+JPn1ehWTYEYFig/WltEvw9OaitrUVnZyeys7Ot+syZz4eO4tCCkM1mo1UxhP893YiuPg1c2cAdORFICvVGm0KDYG8uYgOn1odUr9ejtLSUqYS1tdLXmv+eVCpFU1MTKioqLITRbPZINfcwpAuIpop58UxSUtKoiKinpydzwZ9JPz16WTs0NBSJiYlMNHkqJtT2gMvlIiwsDGFhYaO89Kqrq5lOG3OpApjGUV1AUlJSsGbNGmzbtg0HDhwAMGwDs2HDBosCkOTkZLzwwgvYtGkTgOGodltbG7q6ugAAtbW1AMB8N3k8Hn77299ix44djJn1zp07kZGRwVQFE5wXIgAJVwzjRe3Gy/eb7LlsQSKRoKysDFwuFzExMdMqbtAagUPVWnxz8jIoCgj24WLPhmTckBwCg8EAgUCAoaEh5OXljXmhoAWgeeSPvkBeaunF9v9UoE9tQJAXB5syQ8FxcYH4//z/8uL8x7UGGYuhoSEIhUJ4eXkhKytrysuZ5v57dK9VqVTK5A56eHgwOXQzKYzoaHJPTw9ycnLA4/Hsen7ziKjBYGAiouXl5TCZTBYdSRxVSEIXLcXExCAuLo4RVFMxoXbE+2LNS4+ODsrlclAUherqakacOHuR0VgCcLoegABw6NAhbN++nanY3bhxI/bt22exT21tLfr6+pj/jx49invuuYf5n15u3r17N/bs2QMAePnll+Hq6orbb7+dMYI+ePAg8QCcA7Ao83UhAsGJMJlMkzJA7uzsRGdnJ7PEQTNRvp81fv75Z2ZpbjJQFIXm5mY0NjYiPT0dnZ2d4PP5iIqKmtR5aM43KfDUkQp09esAADdnheHJ1YngeXAwNDTEFHtkZmaOuyza1dWFtrY25ObmWoi/ImE3nv2yFgYThYxwH+zbnAGeOwdSlQ5s1rDYdJ3Chbu3txelpaUICwtjokaOwGAwQKFQMIKQFka0IHTUUjHt49jf34/s7OwZjULSOXG0CfXAwAB8fX0ZMTiZLizjQfctTkhImNTnd2R0kL7EzER00JzOzk50dXXB398fcrkcQ0ND4PF4TJR1rLy62aStrQ19fX3IyMhgtr344otoaWnBoUOHZnFkhCsR574dIlzVTKUK2LwIxNZ8v7HONdkIoNFoREVFBXp7e7F48WLweDx0d3dPaSl5QGPA30/W45OSTgCAvxvw99uzsHz+8PKuQqGAUChEeHg4kpKSJrygslgsqNVqiMViBAUFwUQB/3u6Ae+dbwcArEkNwfMFyYzZc4Tf1E2Z6Xy4xMTEKQtfW3F1dbWwEhlZYcvj8RgxaK8LPr2sbTQasXjx4hm1cQEsc+LMO0jQLepoT8LpWOuIxWJUVFRMqW/xWCbUY0UHHSUGKYqCm5sb5s+fb1FwI5fLmW41tBj09/d3iuigo5aACQRrzP4nnkCwE+aiTafToaysDGq1esJ8v4nOZQtqtRpCoRBsNhv5+fmMia15AYetnK2X4c9Hq9HTrwUA3LIwGMu8ZYz4oyshk5OTJxRYdASGx+MhJCQEDQ0NEJRV4t/NXAjEw2L59yti8eC1sWBPUxxRFIWmpia0tbVNOx9uKlirsKVz6BobG+Hm5sYII39//ykJD41GA4FAAA8Pj2kta9sTNzc3i0ISpVLJ9OFVq9Xw9/dnRLAtkcqOjg7U1dVhwYIFk65YH4m1pWJaDFqzmbFndHBkEcjIghulUgm5XI7Gxkao1Wr4+fkxgpDuwzvTjCUAxyqcIhCmAxGAhCsGugjEPN8vLy9vSsuAkykC6e3thVAoREhICFJTUy0uOi4uLjafRzmkxwsn6vBZaTcAIMrfA38rSEFqEAcXL0pBURRqamrQ1dU1ZrGHOebFHhwOB0lJSfANjcHvPypFvVQNDhu4K96ExR4StDRTCA4OnrIPnclkQlVVFXp7e7Fo0SK75CxNl5Gt2uil4srKShgMBoulYluieCqVCgKBAEFBQRYWO84Em81mrHWSkpIwNDRkUUji4eHBiGBr+ZK0VU9WVtYoc197jA0Y22bG3tFBa5565uenXyc6r5SODtJ9nc2jgzMl9E0mk1UBONkoLIFgC0QAEq4YaBuYCxcuTCrfb6xz2RK5o6NxiYmJiI6OnrKf4KlqCfYcq4FMpQOLBfw6Lxp/+EU8PLkuGBwchNFoRElJCRPRnGhJyFqxR1lnPx76pBwylQ6BXhzsuyMDKSEejEBoaWkBh8OxWD605QJMV1ebTCYsXrx42i28HIGLi4tFT9qBgQHIZDK0t7ejqqqKyaEbSwTTHn/R0dGYN2+e0+WOjYWnpyeio6MRHR1tkS9ZXl4Oo9HIFJIEBgaivb0dnZ2dyMnJga/v+BYx9mCsQpKxTKgnGx2cjA2Mh4eHxc0CHR2sq6uDTqcbFR10FAaDYZTdD1kCJjgKIgAJTstkLrIURaGtrQ1GoxHZ2dmTyvezxkTCzWQyoaamBt3d3eNG4yaKJMpVOjx3vBZfVQ6btM4L8sTzhanIivJj9tFqtUwivS0RTfOKTPrC+VWlGE99XgOtwYTEEC/8Y/MCJs8vPDwc4eHhMBqN6O3thVQqRVVVlU1RssHBQQiFQvj4+CA9Pd0plkQngsViwdfXF76+vpg3bx6TQ2dNBPv7+zNRw6SkJERGRs728KfMyHxJWgR3dHSgqqoKLBYLERERjACbSZFra3TQ3G9wInE3VR9AFxcXRuyZRwdlMhkaGhrg7u7OPO7n52fXz7y1CODQ0BARgASHQAQgwalhsViYqFCdzvcbHBzuimGP3DMXFxdotdoxn08kEkGn0yE/P3/ciACbzYZOpxu1naIoHK8Q47njtegd0sOFzcLvlsXgwWvj4Mb57wVALpdDKBQCgE05Z+YJ9/TFb//ZZuw72wIAuDYhEP9zc6rVvr508QC9xKlSqSCRSJgo2ciCCrrSNzIyEvPnz58zUbGRmOfQ0SJYJpOhurqaEd9RUVEzntPoSGgR7O3tDZVKBb1ej6ioKPT19UEgEIDNZlsYb890gcR4NjO2mlBbE1OThcViwdPTE56enoiKioLBYGCigzU1NdDr9fD392cE4XTNuh1pA0MgjIQIQMKchs738/b2xpIlS3DmzJlxc39sZawIIP18vr6+yM7OtslPcGQEUNyvxbNf1uCbGikAIInvjecLU5Eebrns1t7ejpqaGiQmJqK6unpcIUxHbegxs9ls6IwmPH20Bl9WSAAAv86Lws4b4uHCnliomfdmjY+PH1VQ4erqCp1Oh+jo6GkttTsbtAgODAwEi8VCV1cXQkND0d/fjx9//BHe3t7MUrK97FZmC6PRiNLSUuh0OotqZrpAQiaTobGxEeXl5YzxNi3+Z5KxooMTmVCbTCa72wCZt+qj2xfK5XJIJBLGk9I8OjjZ36GxegETAUhwBEQAEuYsPT09KC8vR2xsLObPn89sNxqN0/7ht7Z0KxaLUVZWxjyfLRf/kR04ikXdeOFEHQY0BnBcWLh/RRzuvSYWXNf//uibLy/TBsPV1dVjLiWP7OzBYrEgH9Tj4U/KUdrZD1c2C8+sS8Rt2ba3KBsJXVARERGB+vp6tLe3IzAwED09Pejq6mKWTJ2xTdtkMZlMqKysRF9fHxYvXswIHp1Ox9ittLW1gc1mMxFRR/XtdRR6vZ5psZebm2txI2NeIJGYmMgUktBLoG5ubsy8p1pNPR1sNaE2Go0OFegsFgve3t7w9vZmzLoVCgXkcjmqqqpgNBotooO2dMExGo0W7wVFUWQJmOAwiAAkODXWloApikJ9fT3a2tqwYMECi2bmU7FdsYZ5BJCiKDQ2NqK5uRkZGRkIDQ2d9Hk6lWr8+Wg1fmxUAADSw33xfGEqkviWd/b0hVmr1TLLy/T8rQlAa/l+tWIVHvi4DN19Wvi6u+LV29KxJG76FZ3m5sdLliyBt7e3hfdec3Mz06ZtMrYjzoRer0dZWRkMBgMWLVpkUdDC5XKZfElzuxXzvr30vO3Zt9feaLVaCAQCuLu7Y8GCBRMKV/NCEqPRyOTD0dXUAQEBTFTM1lZ/9mKs6ODg4CCUSiX8/Pyg0+lmxIR6ZI6lSqWCXC5HT08P08qPFoM8Hs/qOKxFAFUqFbGBITgEIgAJcwrahJdufTZyaWS6LdxGnsdgMKC8vBz9/f3Iy8ub/A8xi4WTTWp8euIChnRGcF3Z2H7dPNyTHw1Xl9FLPQKBAJ6ensjLy2MiAXSO00gBaE38namTYWdxFYZ0RsQEeOCNOxdMuY+vOXTeIwCL5cKR3nt0mzbz/rX0kimPx3PqJVONRgOhUAg3Nzfk5OSMu7xvLUomlUohFotRW1sLLy8vRgw607zVajVKSkrg5+c3yrLIFlxcXEaJHJlMhq6uLtTU1MDb25uJBvv6+s74vNlsNtRqNcrKysDn8xEeHu4wm5nxME+hiI2NhV6vZ6KDFRUVoCiK+fwEBgYyNxokB5AwkxABSJgzDAwMML1l8/PzrS41juwGMlVoS5mLFy+Cw+EgPz9/0h0fWuVDePzLdpR2awAAWVE8PF+YinlBo5dz5HI5RCIRIiIikJSUNOrCOTKyaa3Y4+D5Nvz9VCMoAEti/fDybenwm0IP35GoVCqIRCL4+voiLS1t3IiRh4cHEy3S6/VMtEgoFILFYjFi0Nn6sqpUKgiFQgQEBCAlJWVSwoDFYjF9e+mLPb1kaj7v2SqooKF9DENCQqx+xiaLuciJi4uDTqeDXC6HVCqFQCAAi8WyKCSZidQAlUqFkpIShIeHW6RpzLQJ9Ug4HA74fD74fD5TgS2Xy9HV1YXa2lp4e3sjMDAQBoPBYgwURdlFAPb29mL79u04evQogOE+wK+//jr8/PzGPKa4uBgHDhxASUkJU4yWmZlpsc/KlStx9uxZi2133HEHPv7442mNlzAzOM8vMIEwDiPz/ca6eNFm0NNlaGgIKpUK0dHRkzb9NZoofHChDS9/2wiN3gSuC/D4qkRsWRxltQCjra0NtbW1SElJGdNmhM4ltFbsYTBR+OtXdfiPYNhA+rbscDy9NgEcl+lfzORyOcrKyhAVFTXpYg8Oh4PQ0FCEhobCZDKhr6+P6VCh0WiYJdPg4OAZXzo0p7e3FyKRaEpztAaHw0FYWBjCwsIs5m1eUDHTS+R9fX0QCoWIiopymI8hl8sdNW+ZTIampiZUVFTAz8/PopDE3mOgC7QiIyNHzXGmTajHw9yGiBbOdHTQaDRCJBIhMDAQYrEYsbGxMJlM0xaAd911Fzo6OnDixAkAwL333outW7fiiy++GPOYwcFBLFu2DLfddhu2bds25n7btm3DX/7yF+Z/Z05/IFhCBCDB6amrq7Oa72cNeywBt7W1ob6+Hq6urkhNTZ3UsY3SQTz1WRVEHX0AgOwIb9weq8OmvOhR+9LFHj09PcjNzR238wJdTWxugcFisdCnMeDR/1TgYosSLAB/XDUfv1oSaZeLa2dnJ2pqapCSkoLw8KkXkADDF1V/f3/4+/sz1ZNSqRQ9PT1MBGQ2qmvFYjEqKyuRmJjoEI+/kfMe2ZmDXiKnl4odIToUCgVEIhHi4+MRExNj9/Nbw3zetJceHRU1b8tHF5JMt4Cmv78fAoEAMTExiIuLs2l807WZsRdcLhehoaEICQmBWCxGamoq+vv78frrr+O7776Dn58fXn/9dRQWFiInJ2fS46iursaJEydw4cIFLFmyBADw9ttvIz8/H7W1tUhKSrJ63NatWwEMd4cZD09Pz0nlRROcByIACU5NZWUlpFKpzf18pyMATSYTqqurIRaLkZKSgvr6epuPNRhNeOenVrx+pgl6IwUvNxc8sSoBN8R5oKKiYtT+5sUeeXl5E0aCWCwW9Ho9U9nIZrPRIh/C7z8qQ6tCDU+uC/7fzam4NnH6XnUURaGhoQEdHR3IyspCQEDAtM85EvMlU/Pq2tbWVri6ujKiKCAgwGHVte3t7aivr0d6evq0jcNtZWRnDnrJtLS0FBRF2b2aWiKRoKKiAsnJydMW8dPBw8MDUVFRiIqKYtry0V6LOp2O6UgylUIS2rswLi4OsbGxkx7bVG1m7A39u0VHSo8cOYLz58/j5ptvRn19PW688UZwuVz8+9//xg033GDzec+fPw8ej8eIP2DYUJ7H4+HcuXNjCkBbOXToED788EPw+XysXbsWu3fvJkUrcwQiAAlOzbx58zB//nybL4ZTFYBarRYikQhGoxH5+fkwGo02n6emZwBPfVaFyu4BAMCKhED85aYUhPHcoVQqRxVv0LlY3t7eFsUeY0FRFFxcXNDW1gaDwYCgoCBcaO7FI/+pQL/GgHCeO/ZvzkAif/qJ4kajERUVFRgYGLCwQHEkI6tr6W4ktNFuQEAAEx2cbB6mNWiB29nZiezs7HHzoByJq6urRV4YvWRKV1PTQiA4OHhK7wNdmDGTAtcWRrblowtJuru7UVNTM6kCGqVSCaFQiPj4eERHj46yTwVbbWbM97OHIKTPbX7D4+vrCzabjY8//hgmkwnnz5+ftGDr6emx+v6HhISgp6dnWmPesmUL4uLiEBoaioqKCuzatQulpaU4derUtM5LmBmIACQ4NV5eXpMq6phKEQi9fOTn54eMjAy4uLhArVYzOUJjXYB0BhPe/L4ZB35ogcFEgefhiqfWJKJgYRhzzEhBKpPJmHyzxMTECZc66YtPSkoKxGIx6uvrceB0Bf7TxIaRAhaE+2Df5gUI8p6+MKJFMJvNtqj0nUnYbDZjlZGUlASVSgWpVMr0XPb19WXEw1TyyEwmE6qqqtDb24tFixY5jb8ai8WCn58f/Pz8mGpqc+Ntd3d3RgzaYjDc1taGhoYGZGZmOiSCay9GFpKYF9DQVed0O8KRUVF6adtRy/fAxNFBexaS0BYw5p9plUrFfM5dXV2xfPly5rE9e/bg2WefHfecly5dYsY3Enu0+zPPDUxPT0dCQgJyc3MhEAiQnZ09rXMTHA8RgIQriskWgXR3d6OiogLz5s2zSBw3/8G3tgRZ1tmHP31WhTrJcPu5G1OCsXt9MoJ93Cz2My/eaGtrQ11dHVJTUxERETHuuOhiDzoficfjwceXh89a2fi4sQMAkBfmgtuilWiqEkEVEjLlSBHw3ypYf3//KdmDOAJzcUD37KUtZpqamhhDYltFkcFgQGlpKfR6PRYvXmzh8edsjFwypaupy8vLYTKZLJZMzYU6RVFoampCe3s7YyI+lzAvoKGjouYekzweD0FBQeBwOKitrUVycvKE3yV7MjI6aP433UISa781g4ODY36nH3roIWzevHncc8bGxqKsrAxisXjUY1KpdMKc6smSnZ0NDoeD+vp6IgDnAEQAEq4obF0CNjeTXrhw4aglEhcXF5gooKKzD0qtCQGeXKSEesNgovD6d01491wrTBQQ4MXBM+uSsTYtxOrdNF28UVlZCYlEMmGxBz22kYnoQzojHi+uwpl6OQDg4ZVxuH95DHQ6HSOK6EhRcHAwQkJCbPafo4VFdHS0wypE7YGbmxsiIyMRGRnJ5JFJpVILUUQvHY5MGdBqtRAKheBwOKM6Xzg7I733+vv7mW4kdI9mWgx2dHRAKpUiNzd3znvHmUdFExISmHaEnZ2d6O/vB4fDQX9/P7hcrkNzRcdipBgEMK3ooMFgGFMAWvtO0u/5ROTn56Ovrw8///wzFi9eDAC4ePEi+vr6sHTpUtsmayOVlZXQ6/UICwuz63kJjmHu/AoSrkomK0Zo/77xMBgMKCsrg0qlGrO4pE9twOetbKi6GmGkAFc2C36eHFT3qNDRqwYAbMjg409rkxDgNfZSKS1GlUol8vPzJ7RIGNnWjc1mo1OpwYMfl6FOMgg3VzaeL0jB2rRhwWouisyLCujlMzpCNlarsvb2diYqOZd+tEfmkdHdSFpaWlBZWQk/Pz+LxwUCgVNFN6eKufH2yB7NDQ0NYLFYCA0NhUajgaen55ye60jc3d3B5XIxODiI9PR0cDgcyGQy1NTUQKfTWXQkmWkrkpG5gFOJDk42AmgrKSkpWLNmDbZt24YDBw4AGLaB2bBhg0U+YXJyMl544QVs2rQJwPASe1tbG7q6ugAAtbW1AMBYOzU2NuLQoUNYt24dgoKCUFVVhR07diArKwvLli2b1pgJMwMRgIQrCjp/byyGhoYgEAjg5uaGvLy8MfPc/n2pE80DLCRFuMLTnQtRuxKXWpUAgCBvDp69KQU3JI+fWE+b0gLDSyO2iL/O3kHUi1UwUkCEnwcGtQZs/08F5IN6BHlzse+ODCyI8LV6vHlRAe3DJpFImFZldIQsODgYHA4HdXV16O7uRnZ29oRRSWfGWjcSWhTV19eDoij4+voiIiLCaaObU8Xd3R1hYWGQSqXw8vJCXFwclEolqqurodfrLZaKnXnJ2xZoyx7zopagoCAkJSVhcHAQMpmMsRXy8vJi5u0oe53xGKuQhE7tsBYdtNYFhM4BnC6HDh3C9u3bsWrVKgDDRtD79u2z2Ke2thZ9fX3M/0ePHsU999zD/E8vN+/evRt79uwBl8vFN998g1dffRUqlQpRUVFYv349du/ePaf6Yl/NsKiRjVYJBCfCZDJNGNEzp6WlBQqFwmr+iUwmQ2lpKcLDw5GUlDTmRUHcr8WfPq9Cf68cwYEBONfShyHd8B08C8NGy6nhvvB1d4WPuyt4Hhz4uLvC190Vvu4ccF3ZjLVHdHQ0mpqasHLlynHtLSiKwrlGGb6ukqBfbQCLxYJ4QAtRex+MFJDE98b+zRkI403eMJnuJkAvFff398PFxQUsFgvp6ek2LSPNRSQSCcrLyxEaGgqKoiCTyQDAwmplLi0FW8NgMEAkEsFkMiErK4tZ+qara6VSKWQyGfr7++Hj48Mskc+k16I96O7uRnV1NTIyMhAcHDzuvuYdaGQyGWOvQ3ckmY3iJnNGmlDTl2CxWAyJRIKsrCzmt+nVV19FSUkJjhw5MptDJlyhzO1fP8IVz2QvUtaKQCiKQmtrK+rr620qwFBpDdAZhzt4SFRaRvwBAAXgU0EXIOga83g3FxbcXEzw93JHQEsftAMu+LqvBv7e7sOC0f3/BKOHK3zdXOHt7gq1To8vynrgymYjIcQLF1uUKGkbvhvPjPTF279cCC/u1L6uLBYL3t7e8Pb2RlhYGAQCASiKgru7O0pLS6eUN+jsdHR0oK6uDunp6UyiO0VRUCqVFl05zC1mZrMbyVTQ6XQQCATgcrnIysqyiLpYK6Ch0wNaWlrg6urKCOHZyJ+bDLSdzcKFCxEYGDjh/uYdaMztdVpbW1FZWclUkgcFBcHb23tW+hWPjA5qtVp0d3fDx8eHiQ6y2WwMDAw4TaU64cqDRAAJTg1FUdDpdDbv393djdbWVuTl5QEAU4Ahk8mQlZVlk+fboNaAXZ9Vob1Hiji+P3q1FIZ0RvQO6WGigAWRvtAZTOjXGNCv1qNfY8DA//3Z48vkymbBYBo+U2KIF9alh+Dea2KnfV66l3JgYCDT79Y8b5COkE2UN+jMUBSFxsZGtLe3IzMzc9ylbXrZUCqVQqlUwtvbmxFFvr6+Ti2ENRoNSkpK4OPjg/T09ElXm9JeizKZDFqtlhHCUzFidiS0kLeXnQ2dMymTyaBQKJxCCBsMBggEAnA4HGRkZFgUgV133XVwdXWFQCCY8XERrnxIBJBwRWFeBazRaCAUCgEMV8LZemHzcnPFqpRgHOiWoatfi0AfT1AAXFgs3JwVjltzRkcQdTodSgQCDGqNiEtKg5ZiM8LwoqAcAWGR0FGuGNAMC8Y+tR79Gj0GNAb0awxQDumhMw6LPoOJApsFXJ8cDH8PDrQG06jnmyx0tSzdLYEWNxPlDQYEBCAkJGRO5JDRnVwUCgUWLVo0YRUs3Y0kJiaG8Z+TSqUQCARgs9mMEHa2CNng4CAEAgEj5CcrVM29Fun0AHMjZmcRwu3t7WhoaLCrWbe7uztTNGUuhGtra6HVauHv78/MfSYKSQwGA4RCIVxdXbFgwQIL+6knnngCMpkMH374ocPHQbg6IRFAgtOj1Wpt3lcul6OiogKZmZnMRTItLW3SF3CTicIbX/yEWpUbNNRwnt8vkoNxY3IwXF0soy10E3pfX19kZGSMyis7e/YsMjIymAiGeQN6OgG8XjKId861wsfNFa4uLHhwXMBxYaNeosKatBCsSpl6JwfaFDg1NdXmnp3W8gbppbOQkBCnW5aiK7u1Wi2ysrKmFcWyFiEzt5iZTSFMm5ZHRERg/vz5dhdnOp2OiQjL5XKw2WyLCNlM5Uy2traiqakJ2dnZM+JlSFEUhoaGmPdcqVTC09OTyR20xWdyshiNRuZmIzMz00L8PfPMM/j0009x5swZJCQk2PV5CQQaIgAJTs9kBKBSqWTc7+fPn28R7Zosly5dQgg/FH7BofDkDguykUgkEpSVlSEmJmbMC/IPP/yAlJQUBAUFWbSVMnf9N5ooFIu68HOLElwXNlxd2BjQ6BEb6IlfLo4c12pmLCiKQm1tLXp6epCZmTmtKIq5CbNCoWDyBmkT5tlcLtXpdBAKhXBxccHChQvt0kOXZiwhTIuimcwh6+3thUgkmnLP28liMpmgVCqZyKharWasVhwZIWtubkZrayuys7Ph62u94t3R6PV6pl+xTCYb13x7KhiNRohEIlAUZZG/SVEUnnvuORw8eBDfffcdUlJS7DEdAsEqRAASnB6dTgdbPqYURaGiogKdnZ3IycmZsFpwIugIYkxMjNXnamlpQUNDA9LT08f10Dt37hzi4+MRHBzM5PaMbPkEDLeWE7b3oaKrHxq9CQl8L+RG+01J/BkMBpSXl0OtViMrK8uuF2uDwQCFQgGJRDLreYO0rQ+Px0NaWprD7T60Wi0jiORyObhcLjN3f39/hz0/vYTvyLZnE0EvFctkMvT29jJWK8HBwXYpHhrZxcTHx8dOI58e5ubbUqkUAwMDFubbk62oNhqNKC0thdFoRFZWFhNVpSgKe/fuxRtvvIFvv/0WGRkZjpoSgQCACEDCHMAWAajX61FaWorBwUGo1WqsXr162hek0tJSporSHPPCEluWqC5cuIDo6GhGkLJYLIdGjejcRy6XiwULFtg1IjYSOm9QKpVCIpHMaN5gX18fhEIhwsPDkZCQMONRSPNuJDKZDAaDwcJixl52I93d3aiqqrKoaJ5tRlqtALCwWpnsZ46iKDQ0NKCrqws5OTlO3cWEvgmQyWSQy+VMIUlQUNCEy+Qmk4lpR5idnW0h/l5++WW8/PLL+Oabb5CZmTlDsyFczRABSHB6JhKAKpUKAoEAXl5eSElJwffff48bb7xx2pGoiooKuLm5WeTg0MuNRqMR2dnZE+aaURSFS5cugcvlIjY21uFLhv39/RAKhQgODkZycvKMGuDOZN4gHRGLj4+3GqGdaSiKwsDAADN3lUoFHo/HRAenOvf29nbU19djwYIFTuvXaN6zVyqVYmhoyKKYwtPTc8Lj6+rqIBaLkZOT43T5peNB54vSglCtVsPf35/JFzWfu8lkYvJU6Z65wPD89+3bhxdffBEnT57EokWLZms6hKsMIgAJTo9er2d6bY6ENlyOiopCYmIiTCYTTp06heuuu27a0aeqqiq4uLgw7ZIGBgZQUlICPz8/ZGRkTCgw6WIPqVSKzs5OyOVyuLu7IyQkxG7LZuZIJBJUVFRg3rx5iImJmXUbE0flDXZ2dqKmpgZpaWk2F7XMNBqNxmLuHh4ezNxt6UxBURSTC2erfZGzoFarmaio+dytFVPQeapSqRQ5OTkTikVnZ+QyuYeHBxMV7ejogEajQU5OjoX4e/vtt7Fnzx589dVXyM/Pn+UZEK4miAAkOD3WBKB5Dl5aWhrCw8OZ7V9//TVWrFgx7YtJbW0tjEYjUlNTIZFIUFpairi4OMTHx08oXqwVexiNRsjlciZ3jsViMdGxgICAKUfrKIpCW1sbGhsbkZaW5jTLhOaMnDsw+bxBOkesra0NCxcutIsv3ExA50zSghAYvxsJRVGor69n2vQ5Sy7cVDCfu3kxBT33hoYGKBQK5OTkzHj/Xkdj7rEpFothMpkYMchisRAZGYl//etfePLJJ3Hs2DGsWLFitodMuMogApDg9IwUgEajERUVFejt7UVWVtaoHLzTp09jyZIl075wNjQ0YGhoCN7e3mhsbERGRoZNESfzJvDWij3ofeiuFBKJBHq9nhEFQUFBNudQmUwm1NbWQiKRIDMzc0YsM6aLeUcO87xBWhBai9yaTCbU1NQweZfOnCM2HmMtl5rPnfYyvBIiYubQxRTmy+RsNhvR0dEICwuDl5fXrEet7Q1dmNbf34/k5GQolUr89NNPePDBBxEXF4euri68/PLL2LZt24z3KyYQiAAkOD0Gg8HC3Jn2zsrKyrIqFr777ju7LJvRHSUoirKp2INu9E6P1dZiD7pvq0QigUQiweDgoE0tysy97zIzM+dkBGW8vEE6d47OnVKr1TblXc4lzL3nent7mTZhqampCA4OvuIEEfDfIqq+vj5ERERAqVRCoVDAzc2NuQlyZEX1TEFRFKqqqqBUKpGbm8v8VlEUhXfeeQdvvPEGgoKCUFZWBk9PT9xyyy3Yt2/fLI+acDVBBCDB6aEFIO2DFhQUNK7lx/fff4+0tDSb+oaOhVarxYULF6DX63HNNdfYVOxBN3gHplfpq1arIZFImBZlPj4+TN4gHSVRq9UQiURwc3PDggULZsyg19GMzBt0c3OD0WgEl8tFTk6O3SprnQ26I4RWq4WPjw8UCoWFCfNcbMtnDZPJhPLycgwNDVm8n9Yqqs3Nt+fa+05RFKqrq9Hb24ucnByL348jR47g3nvvxSeffIINGzZAr9fjxx9/RH19Pe69995ZHDXhaoMIQILTYzAY0NraiurqaiQmJiI6OnpccfXTTz9h/vz5U86Fo7stuLm5wcXFBYsXLx53f2udPeyFTqeDTCaDRCJhikh4PB6kUin4fP6MV/rOJHSHFTabzURV53Kf4rHQ6/UWRtaurq4WKQJSqdSp+/XaCh3J1Wg0yM7OHlPU0RXV5r57s2W+PRUoikJNTQ3kcjlyc3Mt3qtjx47hnnvuwYcffohNmzbN4igJBCIACXOA2tpaNDY2IjMz06aoHu27RxeGTAaxWIyysjLMmzcPHh4eaG1tHbcyb6zOHo7AaDSisbERbW1tYLFYcHV1tUsRiTNC29mEhoYiMTERACadNzgXoFMaPD09x6wsN18ml8lk6Ovrg4+PDzN3ZxdEwH/Nj2n/u8n4BJqbbysUCnA4HIulYme6ETCvas7NzbVIyzhx4gS2bt2K9957D7fffvssjpJAGIYIQILTo1QqQVGUzQnxly9fBp/PR1RUlM3PQVeYNjU1YcGCBeDz+ZBIJKivr8eyZcusHmNLsYe9oCiK6Y+akZGBwMBAKJVKZql4qkUkzohMJmNEuDU7G1vyBp1dEAH/7WLi7++PlJQUmwU8HRWmu5FwOBzmfXfGGwG67RntnTmddAU6FYSev06ns2jRNpuRUbp6u6enB4sWLbIQf99++y02b96MN998E1u2bJkTn0/ClQ8RgASnx2g0wmAw2Ly/UCiEv7+/zf1SzauKzfuPyuVyVFZWjrJnmGqxx1QxmUyorq6GXC5HZmbmqP6o5ibEkykicUa6urpQXV2N1NTUcdvrmePMfYrHgl7epiOcUx0jLYjo+Ttb7pzBYIBIJAIAZGZm2jVX1dqNgLe3N/PeT7ZF23TH0tDQgO7ubuTm5lrcrH7//fe47bbb8Nprr+Huu+92ys8j4eqECECC0zNZAVhWVgYvLy/Ex8dPuK9Wq4VAIACLxRpVVaxUKiEUCnHdddcx28yXfGnh58gfdL1ej7KyMuj1emRmZtok5ujKUolEwiwXjiwicTZoX8eWlpZpefzRfoPmnnvOljdIf65iYmIQFxdnt/fDvJpcJpMxPWvp+Xt6es7oe2+e25iZmenw156OjNIt2thsNiOEHf3eNzQ0oLOzE7m5uRadTM6fP49NmzbhpZdewn333eeU3z3C1QsRgASnx2QyQa/X27x/ZWUlXF1dmQ4eY0EXewQEBCAtLW3UBWJgYAAXL17EDTfcAGC0+HP0UptarYZQKISHhwcyMjKmFD3R6XSMGHJ0J5KpQifNSyQSuxofm/sNSqVSaDSaWc8blMvlKC0tRUJCwqRSFKaCRqOxyJ1zc3OziIw68vOr1+shEAjA4XCwcOHCGRfe1opozFu02dMyiTYnz83NtfCnvHTpEgoKCvDcc8/hoYcecorvGoFgDhGABKdnsgKwpqYGJpMJqampY+7T09PD9JIdKwozODiIH3/8EatXr57RYg9gOEokEokQFhY2rSVCc8y7cUilUiZCMptFJEajkbEFycrKcpiXoTPkDYrFYlRUVExqedtemEdG6Y4c5hYz9swZ1el0EAgEcHd3x4IFC2Y9J5GiKAu/RaVSCS8vL0YMTudGiG7Xl5OTY3HjIhQKsWHDBjz99NN47LHHiPgjOCVEABKcnskKwIaGBqjVamRkZIx6jKIoNDY2orm5GQsXLkRISMiY59FoNDhz5gxuvPFGxuplJsRfT08PqqqqHBoloiMks1lEotPpIBKJwGKxkJmZOaOFKzOdN9jR0YG6ujpkZGQgODjYrueeLCM7cgwODlpEx6bTfUSn06GkpISpap5t8WcNvV5vIYZZLNa4rfnGgi7Kys3NtRB/5eXlWLduHXbu3Iknn3ySiD+C00IEIMHpoSgKOp3O5v2bm5vR19eHzMxMi+10tEmpVI66Y7eGTqfDt99+i2uvvRaurq4Oz/ejKArNzc1oaWnBggULEBQU5LDnGvm8M11EolarIRAI4O3tjfT09FnNzXN03mBLSwuam5uRmZkJf39/ewzZrqjVambuvb298PT0ZOY/meiYVqtFSUkJfHx8xjVqdyZMJhPTmk8mk1m05htPDNO9t3NyciyKsqqqqrB27Vo8+OCD2L17NxF/BKeGCECC0zNZAdjW1gapVIqcnBxmm0ajgVAotFrsMdZzGgwG/Pjjj2CxWAgJCUFISIjDqkpNJhOqqqrQ29uLzMxMu+XBTYXxikjs0YOXroDl8/lISkpyqoukPfMG6crQzs5Oi+pyZ4aOjtG5g7Z2I9FoNCgpKYGfnx9SU1Od6j2dDENDQ8zczcUwvVTMZrPR3t6OhoaGUe0ha2trsXbtWvzmN7/B3/72tzn7GhCuHogAJDg9kxWAnZ2d6OjowJIlSwAAfX19EAgEE7aQM38+uq2b0Wi0WCplsVh2z5vT6/UoLS2FwWCwSZzOJPYuIpHL5SgrK0NsbCxiY2Od+iJJ547R7/1k8gbpVmByuRzZ2dkWlaFzBfPomLkYpgUhHRlWq9UoKSlBQEAAUlJSnPo9nQwGg8FiqZj2Ih0YGEBmZqZFhL6xsRFr1qzB5s2b8fe//31ORD8JBCIACXMCrVZr8749PT1oamrC0qVL0d3djYqKCsyfP98mwTFescfIvDmDwYCgoCCEhIRMKnfInKGhIQiFQqdYCp2I6RaRdHd3o6qqCikpKVPq0jLb0B0pJBIJU1VLi2HzyLDJZEJFRQUGBgaQnZ3tsMKWmca8iKavrw/e3t7w8/ODWCxGSEgIkpOTrxjxNxI6d7ilpQXu7u7QaDTo6OhAc3Mzli1bhu3bt6OgoACvvvoqEX+EOQMRgIQ5wWQEoEwmQ1VVFcLCwtDa2ooFCxaMW+xBM5lKX/NEeolEArVajYCAAEYQ2GLA29vbi9LSUoSHhyMhIWFOXTzHKiKhxbB5QYd5F5OFCxfa1M7P2bGWN0h3o+js7GRans22EbOj0Ol06OzsRFNTEyiKApfLZSKjztaezR50d3ejuroamZmZCAgIgFqtxpdffol9+/ZBKBTC09MT99xzD2666SYsX778in3fCVcWRAAS5gQ6nQ62flRlMhkEAgHc3Nxs8pWjO3tMp63b4OAgJBIJJBIJBgYG4Ofnx+QNWiuioKNhSUlJiIyMnNRzORsTFZG0tLRALBYjKytrTuTBTRY6b1AsFqOzsxMmkwkBAQHg8/lzuk/xeKhUKpSUlCAiIgJxcXEWeZN6vZ5pz2brzZAzQ1flj7x56e7uxpo1a5CXl4ebb74Zx48fx7Fjx5CXl4cjR47M4ogJBNsgApAwJ7BVAGo0Gly6dAlDQ0O47rrrJrz4mAs/wD5t3TQaDSMGlUolU0QREhICT09Pxjh2wYIFV0Q0bCTmRSRKpRJsNhtRUVGIiIiYk7lwtkB3lHF3d0d8fDwTHZyrfYrHY2BgACUlJYiKisK8efMs5kN3I6HF4MDAwJyeP+3duHDhQoucP7FYjHXr1iEnJwf/+te/mIgnHRmfaicbAmEmIQKQMCewRQDSLbbovKQ1a9aMu795sQcAh+Tu0EUUdN4YffFLTU0Fn8+fUxfDyaDX6yESiWA0GhEeHg6FQuG0nUimC10EwePxRhUZjZc3SFeVziXo7jl0G7uJGOm3OJPdSKaLRCJBeXk5FixYYOHdKJPJsG7dOqSlpeHQoUN27W9MIMwkRAAS5gR6vZ6J0lmjq6sLlZWVSEhIAJ/Px9mzZ7Fq1aoxLzAz3dmDNj3W6/Xw8vKCQqEAh8Nhiij8/f2vCDEE/LeFHW0GTEdHnLETyXRRqVQQCAQICQmZ0NJmrLxBOm/S2fPm6BusefPmISYmZtLHG41GKBQKZv4mkwmBgYEzaj5uK1KpFGVlZUhPTwefz2e2KxQKbNiwAXFxcfj000/tPub9+/fj73//O7q7u5GWloZXXnkFy5cvt7pvd3c3duzYgZKSEtTX12P79u145ZVXLPY5ePAg7rnnnlHHqtVqh/h7EuYW5NaFMKehvdZaW1uRmZmJ4OBgGAwGAMMXHGuiwjzyNxPib3BwEEKhEL6+vsjJyYGLiwtMJhMUCgUkEgnKysoAwEIMObsYGIuBgQEIhUIEBQUhOTnZ4vV3cXFhlsLNi0iqq6vHLSJxVvr6+iAUChEZGYn4+PgJP0fm86coCn19fZBIJKivr0d5efms9ykej97eXohEIsyfP3/K3WlcXFyY+ZkXUbW0tKCyshJ+fn7M49PpRjJdaKuitLQ0C/HX19eHwsJCREZG4uOPP7b7Z/STTz7BI488gv3792PZsmU4cOAA1q5di6qqKkRHR4/aX6vVIjg4GH/605/w8ssvj3leX19f1NbWWmwj4o8AkAggYY5gLQJoMBhQXl7O2G3QJsUUReHrr7/GypUrR/3Q0fl+MxX5UygUKC0tRWRkJObPn2/1+egiAjpv0FwMBQUFzZklJnqu9PKgra8tXURCRwZnohPJdFEoFBCJRIiPj59SNGwktMWKRCJxurxBeq6JiYkOK1hSq9WMAbNCoZhyN5LpQs81JSXFol/zwMAACgoKwOPx8PnnnzvkM7lkyRJkZ2fjjTfeYLalpKSgsLAQL7zwwrjHrly5EpmZmVYjgI888giUSqXdx0uY+8yNKwvhqmfkBYBuJcbhcJCXl2dR7MFiscBms5lIIDC62GMmxF9XVxeqq6uRnJyMiIiIMfdjsVjw9/eHv78/EhMTGTHU1NSEiooKBAYGTspeZjbo6elBZWXlhHO1BovFgq+vL3x9fTF//nymiKSnpwe1tbWMGAoJCXGKIhI6N8yefoZeXl7w8vJCbGwskzcolUrR1NTE5M2FhITMeN6gXC5HaWkpkpOTHerd6OHhgaioKERFRVkYMItEIgCYUq/eyUJHOZOTky3E3+DgIG699VZ4enriyJEjDhF/dA/lJ5980mL7qlWrcO7cuWmdW6VSISYmBkajEZmZmXjuueeQlZU1rXMSrgyIACTMOZRKJdNKLCUlxeoF0cXFBUajEcDMFHuYQ5vGtre3Iysra1IVgSPFEB0Z6uzsRHV1NXg8HmMv4iwGw62trWhsbBxVKTlVPD09ERMTg5iYGIsimqamplkvIqFFfUZGhk3eklPBzc0NERERiIiIsMgbLC0tBTAzYggYzoOjha65IHI0rq6u4PP54PP5Fq35GhsbRy2V20uM0fmNSUlJFkJ3aGgIt99+O1gsFo4ePeqwpWmZTAaj0Wix5AwAfD4fPT09Uz5vcnIyDh48iIyMDPT39+PVV1/FsmXLUFpaioSEhOkOmzDHIQKQMKegiz0SExMRHR09pgCgBeB0/f0mi9FoRGVlJfr7+7F48eJpR6zMI0MajYYRQ3V1dfD29mZyymZjmZCiKNTV1aG7uxs5OTkWfVHtBZfLZcSQeWRIKBTOeBFJW1sbGhoakJmZOWP2PWPlDTY0NKCiosJheYN0lHNkEcRMMzI6Pjg4CJlMBrFYjNraWnh7ezNFJL6+vlP6DtDiLyEhwSJ6rdFocOedd0Kj0eDrr7+2Sx/siRg5foqipvW9zsvLQ15eHvP/smXLkJ2djddffx2vvfbalM9LuDIgApAwZ6itrWWiahNFmlxdXWEwGGal0hcAFi9ebPflWnd3d2aZTK/XM2KwubmZiYyFhIRM+UI4Geh2Z7TQnYmkffPI0EwWkVAUhaamJrS3tztM6NoCi8WCn58f/Pz8GDEklUrR1dWFmpoau+UN0sbHjoxyThX6higmJgZ6vZ5ZKm9ra4OLiwsTHbW1kIou5ImPj7cobtFqtdi6dSuUSiVOnjzpcAPzoKAguLi4jIr2SSQSuwpwNpuNRYsWob6+3m7nJMxdiAAkzAkaGhogFouRl5dn0504m82GRqOZMfGnUqkYD8LU1FSHV/FyOByEh4cjPDwcRqOR8ZoTCAQWUSNHeK3p9XqUlpbCaDQ6ROjaApvNRkBAAAICApCUlMTkTTY3N4+KjE1nmZCiKNTW1kIikSA3N3dGokC24oi8Qbrl2YIFC+yynO9IOBwOwsLCEBYWBpPJhN7eXkilUtTW1kKr1VpYzFiLjtKehvPmzbOostXr9bj77rvR2dmJb775Bv7+/g6fC5fLRU5ODk6dOoVNmzYx20+dOoWCggK7PQ9FURCJRMjIyLDbOQlzF1IFTJgTqNVqGAwGmzp70EuTra2t8PHxAZ/PZ7pwOALaNiI6OnpUZ4SZhr4QisViSKVSUBTFCCF7eM1pNBoIhUK4u7tjwYIFTmlXY96JpK+vb8pFJCaTCVVVVVAqlcjJyXGanMuJGMtvcKK8wc7OTtTW1s75fs0URTHR0ZHdWIKCguDt7c20souNjUVsbCxzrMFgwG9+8xvU1NTgu+++szCAdjSffPIJtm7dijfffBP5+fl466238Pbbb6OyshIxMTHYtWsXOjs78f777zPH0CsOv/vd75CUlITHH38cXC4XqampAIBnn30WeXl5SEhIQH9/P1577TV88MEH+Omnn7B48eIZmxvBOSECkDAnMBqNFlW91hhZ7GG+TKpQKODl5YWQkBDw+Xy75cx1dHSgtrbWrhWh9sI8Z0wikUCn0zEVxVMx3qWjnAEBAWMW3zgbIzux2FpEYjQaUVZWBo1Gg+zsbKfz5bMV+jNAvwYajcZq3mB7ezvq6+uRmZl5xbUxM4+OyuVycDgc6PV68Pl8pKamMp9jo9GI++67DyKRCN9++y1CQ0NnfKz79+/HSy+9hO7ubqSnp+Pll1/GihUrAAB33303WlpacObMGWZ/a5/fmJgYtLS0AAAeffRRFBcXo6enBzweD1lZWdizZw/y8/NnYjoEJ4cIQMKcwGQyQa/Xj/k4XexBmz+P/GGk84XEYrFFSzI+nw8fH59Ji0GKolBfX4+uri4sXLhwRpaJpgPdo5UWg7TXHi2GJhI4tEWGM0Q5p4p5EQndiYSev3kRicFggEgkgslkQlZW1pwwpbYVa36DHA4Hvb29yMrKcvrP8XTp7+9HSUkJPDw8oNPpYDAY8M9//hPXXHMNRCIRfv75Z3z33XeTtjIiEOYiRAAS5gTjCcDJtnWjc+bEYjFkMhk4HA4jBm2xFjEajaioqIBKpUJmZqZTeNNNlqGhIUYM9vf3g8fjMXmDI5c6xWIxU3ntKCPgmca8iEQqlcJgMCAwMBABAQFob2+Hm5sbFi5c6JRL3PZCp9OhuroaUqkULBZrTvXpnQpDQ0O4fPkywsLCMH/+fADDVjd79+7FV199hba2NixevBi33norNm7ciMTExFkeMYHgWIgAJMwJxhKA0+3sQfcnpcUQHRXi8/lWL4JarRYikQhsNhsLFy50WmPmyaDVahkhpFAoGGuNkJAQKBQKNDY2IiMjY0bzoWYSuhNJV1cXOjo6QFGUhfn2XF3+nYimpia0tbUhOzsbXl5eU8obnCvQ4i80NBQJCQnM74TJZMITTzyBY8eO4d///jfKy8tx9OhRfPPNNxAIBEhLS5vlkRMIjoMIQMKcgKIo6HQ6i//pyB8wnAsz3WVJuoCCFoN0AQVtLTI4OAiRSAR/f3+L3KErCfOlcplMBoqiEBoaiqioqFkxXp4pBgcHIRAIEBgYiJiYGKaqejpFJM4KbVTe2dmJ7Oxs+Pj4jHrclrzBuYJarcbly5cREhKCxMREC/H39NNP4/Dhw/juu+8sjJFVKtWst+AjEBwNEYCEOYG5ABxZ7GEP8Wft+cz78+p0OlAUhZCQEKSmps75iMh4mEwmVFZWQqlUIiYmBv39/RY5cyEhIfD3979iBDBtBxIRETGqX/PIIhIPDw9GDM6E36K9oSgKDQ0N6OrqQk5Ojk22NuYVtX19ffDx8WGio84ukjQaDS5fvozAwEAkJyczY6UoCn/5y1/wr3/9C2fOnEFycvIsj5RAmHmIACTMCWgBONl8P3vQ1taG+vp6BAQEYGhoCBqNhjEdnko1rTNjMBhQWloKvV6PrKwsJtozMjpqMpksoqNzNVeOLm6JjY1FXFzcuPvaWkTirND2SGKxGDk5OVOKZtKCmK6odea8QVr80VXr5uLvxRdfxJtvvonvvvsO6enpdn/u/fv34+9//zu6u7uRlpaGV155BcuXL7e6b3d3N3bs2IGSkhLU19dj+/bteOWVV0btV1RUhGeeeQaNjY2Ij4/H3/72NwvPQAJhshABSJgzaDSaGRV/5q3OMjMz4efnZ7Wa1jxfbC7nBGq1WggEAri5uWHBggVjRjnNlwjFYjG0Wu2cFMR0r9upFLeMVURCvwbOFiGmKAo1NTWQyWTIzc21i6fhVP0GZwKtVovLly8zxuzm4u/ll1/Gyy+/jG+++QaZmZl2f27az2///v1YtmwZDhw4gH/+85+oqqqyMJymaWlpwcsvv4ycnBy8/PLLuPbaa0cJwPPnz2P58uV47rnnsGnTJhw5cgR//vOf8eOPP2LJkiV2nwPh6oAIQMKc4MKFC7h8+TLWr1+P4OBgh0caDAYDKioqMDQ0hMzMzDFNpAcHBxkxODAwAH9/f2aZdC7lStE5cJPNb6RNd+nXQKVSzYnXoLu7G1VVVUhLS5u23xtdREKLwcla7DgaiqJQVVWF3t5ehxlaO1PeoE6nw+XLl+Hr64u0tDQL8bdv3z7s3bsXX3/9NRYtWuSQ51+yZAmys7PxxhtvMNtSUlJQWFiIF154YdxjV65ciczMzFEC8I477kB/fz+++uorZtuaNWvg7++Pjz76yK7jJ1w9ONdtKoEwBr29vfjXv/6FRx99FEuXLkVhYSE2btyI0NBQu0cCNRoNRCIROBwOFi1aNG5Ey8vLC3FxcYiLi4NarYZEIkFPTw9qa2vh6+vLdCFx5i4SSqUSIpEIkZGRiI+Pn9TryWKx4O3tDW9vb8ybN8/qa0CLwZnoF2wLtOnxwoUL7dLujMViwdfXF76+vpg/fz5jsdPd3W3Ro3c2ikjobiZ9fX3Izc2dVlu88TDvU5yQkMDkDdKvwUzlDep0OpSUlMDb23tU5O+tt97CCy+8gK+++sph4o9+/ieffNJi+6pVq3Du3Lkpn/f8+fN49NFHLbatXr3a6lIxgWArRAAS5gRr167FmjVr0NraiqKiIhw+fBiPP/44lixZgoKCAhQUFCAyMnLaF5aBgQEIhUIEBgZOutuFh4cHYmJiEBMTw1irSCQS1NfXw9vbmxGDzlRJKpFIUFFRgYSEBERFRU37fCNfAzoi1NDQwHRiCQkJgbe394wXD1AUhebmZrS2tiI7Oxt+fn4OeR5PT0+mxZh5EUlTU9OMFpGYTCbGrzI3N3dGo3DmfYrN8wbN+xTbO29Qr9dDIBDA09MT6enpzHkpisLBgwexe/duHDt2zKFdMGQyGYxGI/h8vsV2Pp+Pnp6eKZ+3p6fH7uckEIgAJMwZWCwWYmNjsWPHDjz22GPo7OxEcXExioqK8NRTTyE7OxuFhYUoKChAbGzspC+udE5YXFzclI43x83NDVFRUYiKimJa0onFYjQ2NsLT05PxGpwNIURDR8LS09MREhJi9/O7ubkhMjISkZGRjL2MRCJBa2sruFwuIwZnwl6G7tzS3d2N3NzcUdYnjoLL5SIiIgIREREWRSQCgcChRSQmkwnl5eUYGhpCbm7urOammr8G5r6b5eXloCjKLnmDtPhzd3dHRkaGhfg7dOgQnnzySRw9epRpq+ZoRn6eKYqa9mfcEeckXN0QAUiYk7BYLERGRmL79u14+OGH0dPTg88++wxFRUXYvXs30tPTUVBQgMLCQgvj17Foa2tDQ0MD0tLSRt1pTxcOh4Pw8HCEh4fDYDAwPns///wz3NzcGDE4U7YitA9cR0eHQyNh5nA4HISFhSEsLMxCBIhEIrBYLCYq5ohqWpPJhOrqaigUCixatGjWlqJdXV3B5/PB5/OZqmqpVIqqqioYjUa7FZHQfYy1Wi1yc3OdqijHxcWFif6Z5w02NjaioqKCyR8NCgqyebnaYDBAKBSCy+ViwYIFFuLvP//5Dx577DEUFRXhuuuuc+TUAAwXwbi4uIyKzEkkkmn9roSGhtr9nAQCKQIhXFFQFAW5XI7PP/8chw8fxrfffovExERs3LgRmzZtsrCDAIbFAW2NkZmZCR6PN2Njpaso6eIBFxcXC589R4hBOiest7eX6QAxm5hX00okEhiNRouK4unay9CRsMHBQWRnZzssB2462LOIxGg0orS0FAaDYc71MbbmN2ieO2nt+0CLPxcXl1Gt+44cOYL77rsPn3zyCdavXz9j81iyZAlycnKwf/9+ZltqaioKCgqmVQQyMDCA48ePM9vWrl0LPz8/UgRCmDJEABKuWGgz56NHj6K4uBgnT55EdHQ0CgoKsGnTJkRGRuI3v/kN7rrrLmzcuHFWCzVMJpNFSzpHRMUMBgPKysqg0+ksPP6cBYqi0N/fz7wGGo3GwmJnsmKG9jSkxdBcseihi0hoIWRrEYnRaIRQKARFUcjKynI6K5rJYIvfoNFoZJbSMzMzLcTfsWPHcM899+DQoUMoLCyc0bHTNjBvvvkm8vPz8dZbb+Htt99GZWUlYmJisGvXLnR2duL9999njhGJRACA3/3ud0hKSsLjjz8OLpeL1NRUAMC5c+ewYsUK/O1vf0NBQQE+//xzPP3008QGhjAtiAAkXDX09/fj2LFjKC4uxvHjx+Hh4YGwsDDs3bsX1157rdOY2FqLik3XdFmr1UIoFILD4WDhwoVzQhyY+y2a28sEBwdPGMnT6/UWkaG5MF9r2NqJhI6EsVgsZGVlzVljbmuYpwzQ7QkDAwOhUqng6uqK7Oxsi/meOHECv/rVr/Dee+/htttum5Ux79+/Hy+99BK6u7uRnp6Ol19+mck/vPvuu9HS0oIzZ84w+1uLbsbExKClpYX5//Dhw3j66afR1NTEGEHffPPNjp4K4QqGCEDCVUdJSQk2bNiA9PR0BAYG4vjx4/D398fGjRtRUFCAJUuWOM0FlM6TMm9JZ75EaouwGRwchFAoBI/HQ1pamtMI3cmgVqsZIaRUKseNimk0GqYaNCMjw2ney+kyVieSgIAAtLS0MOL+SpmvNSiKQm9vLyorK5nOQAEBAaisrMQ111yD5uZmbN68GQcOHMBdd91FiiQIhHEgApBwVSGTyTB//nw888wzeOyxx8BisaBWq3Hy5EkUFRXh2LFjcHd3x8aNG1FYWIilS5c6TfTIPFdMIpFArVZPuETa19cHoVBotc/tXMU8KiaXy5mq6pCQELi4uEAoFMLf33/SNj5zCbqIRCwWo6urCwCY18AZO5HYC5PJxLQqzM7OhlarhVgsxq9//WuIRCJ4e3vjhhtuwJ49e5Cenn5FfN4JBEdBBCDhqqO5uXnMvq86nQ6nT59GUVERjh49ChaLhQ0bNmDTpk1YsWKFUyXVj1wiHVk4QNvazJ8/32oLqisBuqqazpkzmUzw8fFBYmKiwwppnAXadNjDwwOxsbGQyWRO2YnEXphMJqa6OTs72+K7eO7cOfzyl7/E6tWr0d/fj6+//hqhoaH48MMPsXTp0lkcNYHgvBABSCCMgV6vx9mzZ3H48GF89tln0Ov1WL9+PQoLC3Hdddc51YWVLhyQSCTo7++Hh4cH1Go1kpKS7GLw7OwolUoIBAKmTSDdm5YWQYGBgVdUNFCr1TIdL8xNjwHrRSTmXTjmInQ1t1qtRk5OjoX4u3TpEgoKCvDXv/4VDz74IBPVP336NJYsWeIQj0sC4UqACEACwQaMRiN++OEHFBUV4ciRI1CpVFi7di0KCwtxww03OE2rN4qiUFdXh46ODnh5eUGlUsHHx4fpQuIs7djsiVwuR2lpqUWkky6koZeK9Xo9goKCwOfzp2U47AxoNBqUlJSAx+NN2LdZq9UyEdLxikicGbqjyeDgIHJyciyquYVCITZs2IBnnnkGjz766JyYD4HgLBABSCBMEqPRiAsXLjBiUCaTYfXq1SgsLMSqVavg7e09K+MyNzzOysqCt7c3dDodExlUKBRMOzY+n+/QnqwzhVgsRkVFBVJTUxEWFmZ1H2u5k+ZLpHPFHgYYLoYpKSmBv7+/Ra9bWxhZREKbMtO+k84YIaUoChUVFRgYGBjV0aS8vBzr1q3D448/jieeeMIhn+X9+/fj73//O7q7u5GWloZXXnkFy5cvH3P/s2fP4rHHHkNlZSXCw8Pxxz/+Effffz/z+MGDB3HPPfeMOk6tVjulRyXhyoYIQAJhGphMJpSUlODw4cM4cuQIOjo6cOONN6KgoADr1q2Dr6/vjIyD7v6g0WiQlZVl9WJi3o5NJpPB3d2dEYM+Pj5zTgx2dnaitrYWGRkZCA4Otvm4wcFBRgwODAzAz8+PKaBw5ovw0NAQSkpKEBQUhOTk5Gm9X+adSMwNuIODg52miISiKFRVVUGpVI7qZVxVVYW1a9fioYcewp///GeHfHZpP7/9+/dj2bJlOHDgAP75z3+iqqrKak5tc3Mz0tPTsW3bNtx333346aef8MADD+Cjjz7CLbfcAmBYAP7hD39AbW2txbGhoaF2Hz+BMBFEABIIdoJOUqfFYGNjI66//nps3LgRGzZsgJ+fn0MuVDqdzsLzzpZCFaPRaFE8weFwGDE4E715p0tLSwuam5uxcOFCBAQETPk8Go2GEYNKpRI+Pj6MGHSmfLnBwUGUlJSAz+cjMTHRru+PPTuR2HNM1dXV6O3tRU5OjoUwr62txdq1a/Hb3/4Wf/3rXx32WV2yZAmys7PxxhtvMNtSUlJQWFhotaPHE088gaNHj6K6uprZdv/996O0tBTnz58HMCwAH3nkESiVSoeMmUCYDEQAEggOgL6AHT58GMXFxaiqqsK1116LwsJCbNiwAUFBQXa5cA0NDUEgEMDX13dUMYCtmBvtSiQSxl/OGZcGKYpCQ0MDOjs7kZ2dbdcIq06nY/o00/lytAiazXw5lUqFkpIShIeHz4iVz2wXkVAUhZqaGsjlcuTm5lqIv4aGBqxduxZ33nknXnrpJYd9NnU6HTw9PfGf//wHmzZtYrb/4Q9/gEgkwtmzZ0cds2LFCmRlZeHVV19lth05cgS33347hoaGwOFwcPDgQfzud79DREQEjEYjMjMz8dxzzyErK8sh8yAQxoMIQALBwdCihRaDIpEIy5YtQ2FhITZu3Ag+nz+lizrt8RcWFma3qBC9NEiLQYqiLLqQzKYYpEW1XC53eB9jOl+OXi53dXVlXge6FdlMMDAwgJKSEkRGRiI+Pn7GRahWq2VyBmeiiISiKNTW1kIqlSI3N9eiuKqlpQVr1qxBYWEhXnnlFYe+B11dXYiIiMBPP/1kYSPz/PPP41//+teoJVwASExMxN13342nnnqK2Xbu3DksW7YMXV1dCAsLw4ULF9DQ0ICMjAz09/fj1VdfxfHjx1FaWoqEhASHzYdAsMbsJ3oQCFc4LBYLCQkJ2LVrF5588km0tLSgqKgIn376KXbu3Im8vDwUFBSgoKAAERERNl1UZTIZysrKEB8fj5iYGLuNlc1mIzAwEIGBgUhOTmZa0tXU1MBgMFh0IZnJjhN0JShdDODoqmtXV1fw+Xzw+XyLPs3l5eUWojggIMBhr0N/fz8EAgGio6Mxb948hzzHRLi5uSEyMhKRkZEWolggENi9iISiKNTX10MikWDRokUW73FHRwfWr1+PdevWOVz8mTPyu0hR1LjfT2v7m2/Py8tDXl4e8/iyZcuQnZ2N119/Ha+99pq9hk0g2AQRgATCDMJisRAXF4edO3dix44d6OjoQHFxMYqLi7Fr1y7k5OSgsLAQBQUFiImJsXqx6ezsRE1NDdLS0hyaPM5iseDv7w9/f38kJiaiv78fEokEDQ0NqKiosBCDjjTINhqNKC0thU6nw6JFi2a8apfNZiMoKAhBQUGgKMpCFNP2MvbuwNHX1weBQIC4uDjExsba5ZzTZaQopotIKisrp11EQkfJe3p6Rgn87u5urF+/Hr/4xS/wj3/8Y0bEH32D09PTY7FdIpGAz+dbPSY0NNTq/q6urggMDLR6DJvNxqJFi1BfX2+fgRMIk4AsARMITgBFUejp6cGRI0dQVFSE77//HhkZGSgoKEBhYSHmz58PiqLw5ptvIjExEdnZ2dMqfpjuWAcHByEWiyGRSDA4OGjRks6eAk2v10MkEgEAMjMznaoTC0VRUKlUEIvFTPFEYGAgExWb6uugVCohFAoRHx8/Jzq4UBSF/v5+pqJ4aGho0kUkjY2N6OjoQG5ursXSvlgsxtq1a7Fo0SIcPHhwRqPOS5YsQU5ODvbv389sS01NRUFBwZhFIF988QWqqqqYbb///e8hEomYIpCRUBSFxYsXIyMjA++++679J0EgjAMRgASCk0FRFGQyGT7//HMUFRXh22+/RWJiIvz8/FBdXY0TJ04gNTV1tofJMNJWxd/fn7n4T8dWRavVQiAQwN3dHQsWLJjRi/9UGBwcZERQf38/eDweU0xj65K1QqGASCRCQkLCnO3gQr8OthaRNDU1oa2tDbm5uRYemjKZDOvWrUNaWhoOHTo049Y0tA3Mm2++ifz8fLz11lt4++23UVlZiZiYGOzatQudnZ14//33AfzXBua+++7Dtm3bcP78edx///0WNjDPPvss8vLykJCQgP7+frz22mv44IMP8NNPP2Hx4sUzOj8CgQhAAsGJoSgKXV1duOmmm9DU1AR3d3f4+fmhoKAAmzZtmnLlr6NQq9WQSqUQi8XMxZ/uQjKZvD3a8JjH4yEtLc2p5mgLGo2GEYO9vb3w9va2sJextrRPdzRJSkpCRETELIza/kxURNLS0oLW1lbk5OTAx8eHOU6hUGDDhg2Ii4vDp59+OmuR3/379+Oll15Cd3c30tPT8fLLL2PFihUAgLvvvhstLS04c+YMs//Zs2fx6KOPMkbQTzzxhIUR9KOPPori4mL09PSAx+MhKysLe/bsQX5+/kxPjUAgtWb6dgAALOtJREFUApBAcGYUCgXWr18PDoeDzz//HC4uLjh27BiKiopw4sQJhIaGMsvE2dnZTiWU6Iu/WCxmRBAtBser4FWpVExf3+kaHjsDer2eEYNyuZwx4DavpKWLelJSUsbsaDLXGVlZTVEUTCYTI3jpz65SqcRNN92EsLAwFBcXz6lOLQTCXIIIQALBiVGr1XjppZfwxBNPjFpOValU+Oqrr1BUVITjx4/D398fGzduRGFhIRYvXuxUS6a0CBrpscfn8+Ht7c2IPNraZrZsTxwNbcBt3o7N29sbCoUCaWlpV6z4G0lraysaGhoQHBwMpVKJnp4efPTRR1i1ahU+/fRT+Pn54fPPP3fqziwEwlyHCEAC4QpArVbj66+/RnFxMb744gt4enpi48aNKCgowNKlS52itReNwWCwaEnH5XKZJeK6ujrMnz/frtY2zorJZEJTUxOam5vh6uoKFovFVBQHBgY6lYC3J+3t7WhoaEB2djZ4PB5j//L666/jxIkT6O7uxo033ohbbrkFGzduJG3SCAQHQQQggXCFodFo8M0336C4uJhZNt6wYQM2bdqE5cuXO1UlrdFohFwuR1tbG3p7e+Hq6oqwsDDGW+5KiwCa093djaqqKixYsABBQUHo6+tjiml0Oh1TWe1om52ZpKOjA3V1dcjOzoafnx+zfWhoCLfeeisoisKrr76K06dP47PPPsOlS5cgFost9iUQCPaBCEAC4QpGr9fj7NmzOHz4MD777DPo9Xps2LABhYWFWLly5az0eR1JV1cXqqurkZaWBldXV0YEAWBy5QICApwqv3G6dHV1oaamhhF/5tD2MvTr4Ay9ee0BPeesrCz4+/sz2zUaDe644w4MDg7ixIkTFu39ent7LfYlEAj2gwhAAuEqwWAw4Mcff2TEoEqlwrp161BYWIjrr7/e4d01rNHW1oaGhgYsXLjQwizXZDIxhssSiQRGo9GiJd1cXh6lo2CZmZk2eTnSvXmnYy8z23R3d6O6unrUnLVaLbZs2QKZTIaTJ0+SSB+BMINcObfUBAJhXFxdXbFy5Urs27cPra2t+PLLL8Hn8/HEE08gNjYWv/71r1FcXIzBwUGHj4WiKDQ2NqKpqQk5OTmjOiWw2WwEBAQgOTkZy5cvR1ZWFrhcLurq6nD27FmUlZWhp6cHBoPB4WO1J+3t7airq0NWVpbNRt6enp6IjY3F4sWLsXz5coSFhUEul+Onn37C+fPn0djYiIGBATjrvXxPTw+qq6uxcOFCiznr9Xrcfffd6O7uxokTJxwm/vbv34+4uDi4u7sjJycHP/zww7j7nz17Fjk5OXB3d8e8efPw5ptvjtqnqKgIqampcHNzQ2pqKo4cOeKQsRMIjoREAAmEqxyTyYTLly/j8OHDOHLkCLq6unDjjTeioKAAa9eutViSswcURaG2thYSiQTZ2dkW5r+2HEt335BIJFCr1RZdSJw5V661tRVNTU3Iysqyi9jR6/UWxTRubm5MZJDH4zlF/qRYLEZFRQUWLlxosdRtMBjwm9/8BrW1tfj2228RHBzskOenzZz379+PZcuW4cCBA/jnP/+Jqqoqq11WaDPnbdu24b777sNPP/2EBx54wMLM+fz581i+fDmee+45bNq0CUeOHMGf//xn/Pjjj1iyZIlD5kEgOAIiAAlzit7eXmzfvh1Hjx4FAGzcuBGvv/76uBfU4uJiHDhwACUlJZDL5RAKhcjMzLTYZ+XKlTh79qzFtjvuuAMff/yxvafg1JhMJpSWlqKoqAjFxcVoamrCDTfcgI0bN2L9+vXw8/OblrAwmUyoqqqCUqlETk7OtJcwzVvSqVQqp82Va25uRktLC1P5am/oYhqJRAKpVAo2m82IQX9//1nJn5RIJCgvL8eCBQssBJ7RaMR9990HkUiE7777bszeuvZgyZIlyM7OxhtvvMFsS0lJQWFh4Zjt3I4ePYrq6mpm2/3334/S0lKmndsdd9yB/v5+fPXVV8w+a9asgb+/Pz766COHzYVAsDdkCZgwp7jrrrsgEolw4sQJnDhxAiKRCFu3bh33mMHBQSxbtgwvvvjiuPtt27YN3d3dzN+BAwfsOfQ5AZvNRlZWFv7617+isrISJSUlWLRoEf7xj38gLi4OmzZtwsGDBxkj38lgNBpRWlqKgYEBLFq0yC75a15eXpg3bx7y8vKwbNkyBAQEoKurCz/88AMuXbqEtrY2aDSaaT/PVKGXultbW5Gbm+sQ8QcALi4uCAkJQXp6Oq699lqkp6cDACorK3H27FlUVFQwuZQzgVQqRXl5OdLT00eJv4cffhiXL1/G6dOnHSr+dDodSkpKsGrVKovtq1atwrlz56wec/78+VH7r169GpcvX4Zerx93n7HOSSA4K85jDkYgTADdB/fChQvMUsvbb7+N/Px81NbWIikpyepxtEBsaWkZ9/yenp7Ec8wMFouFtLQ0pKWl4c9//jPq6+tx+PBhvPvuu/jDH/6Aa665BoWFhbjpppvA5/PHjQwaDAaIRCKYTCbk5uY6ZKnWw8MDsbGxiI2NZVqxicVi1NXVwcfHh+lC4unpaffntgZFUWhoaEBXV9eoPreOhM1mIzAwEIGBgUhOTkZ/fz8kEgnq6+tRXl6OoKAgBAcHO2zJXC6Xo7y8HGlpaRYCz2Qy4dFHH8UPP/yA7777DuHh4XZ/bnNkMhmMRuMokcnn89HT02P1mJ6eHqv7096VYWFhY+4z1jkJBGeFRAAJc4bz58+Dx+NZ5Nnk5eWBx+PZ5e770KFDCAoKQlpaGnbu3ImBgYFpn/NKgcViITExEU899RQuXbqE2tparFu3Dp988gkSExOxZs0a7N+/Hx0dHaMigzqdDpcvXwabzUZOTs6M5Om5u7sjKioKubm5WLFiBSIjI6FQKHDu3DmmcEKlUjmscIKiKNTV1c24+BsJi8UCj8dDQkICli5diiVLlsDHxwdtbW04e/YsSkpK0N7eDq1Wa5fnUygUKC0tRUpKisXNlMlkwh//+EecOnUKp0+ftpp/5yhG3phQFDXuzYq1/Udun+w5CQRnhEQACXOGnp4ehISEjNoeEhIy7bvvLVu2IC4uDqGhoaioqMCuXbtQWlqKU6dOTeu8VyIsFgvz5s3D448/jp07d6K9vR3FxcU4cuQInnzySeTm5qKgoAAFBQUwGAy4//77sXv3bixevHhWctG4XC4iIiIQERFhUTjR0tJitS/vdKGLXKRSKRYtWjRjEceJYLFY8Pb2hre3N+bNmwe1Wg2JRIKenh7U1tbC19eXeS2mMube3l6IRCIkJydbtLQzmUx4+umncfToUXz33XeIi4uz57TGJCgoCC4uLqN+GyQSyZhLz6GhoVb3d3V1ZSrVx9rHkcvZBIIjIBFAwqyzZ88esFiscf8uX74MYPSdN2Cfu+9t27bhhhtuQHp6OjZv3ozDhw/j9OnTEAgE0zrvlQ6LxUJ0dDQeeeQRnDlzBm1tbdi6dStOnz6NBQsWYMWKFeByuQgKCnKKCAmHw0FYWBgWLlyIlStXYv78+dBoNCgpKcGPP/6I2tpaKJXKKUcGKYpCdXU1pFIpcnNznUb8WcPDwwMxMTFYtGgRli9fjvDw8FFRUlvtZZRKJYRCIZKSkiyWdimKwnPPPYdPPvkEp0+fRkJCgiOnZAGXy0VOTs6om7hTp05h6dKlVo/Jz88ftf/Jkyct0hbG2mescxIIzgqJABJmnYceegibN28ed5/Y2FiUlZVBLBaPekwqldr97js7OxscDgf19fXIzs6267mvVFgsFsLDw/Hggw9i6dKlWLVqFXJzc2EymZCfn4/k5GQUFBSgsLAQycnJsy4IXVxcwOfzwefzYTQaoVAoIJFIIBKJwGKxJl1FS1EUKisroVQqsWjRIri7u8/ALOyDm5sbIiMjERkZyURJpVIpLl26BC6Xy5hwW6sC7+vrg1AoREJCAiIiIpjtFEXhxRdfxHvvvYdvv/0WycnJMz0tPPbYY9i6dStyc3ORn5+Pt956C21tbbj//vsBALt27UJnZyfef/99AMMVv/v27cNjjz2Gbdu24fz583jnnXcsqnv/8Ic/YMWKFdi7dy8KCgrw+eef4/Tp0/jxxx9nfH4EwnQgApAw6wQFBY1qh2WN/Px89PX14eeff8bixYsBABcvXkRfX5/d774rKyuh1+stlrIIttHe3o7rrrsOu3btwhNPPAGKotDb24ujR4+iqKgIf//73xEXF4eCggJs2rQJaWlps97mzcXFhSmMMJlM6O3thUQiQUVFBSiKsuhCYm2sJpMJlZWVGBgYQG5u7pwSfyOho6RhYWEWwri0tBQsFot5LQICAjAwMACBQID4+HhERUUx56AoCi+//DL279+Pb7/9lqlKnmnuuOMOyOVy/OUvf0F3dzfS09Nx/PhxxMTEABjuUNLW1sbsHxcXh+PHj+PRRx/FP/7xD4SHh+O1115jPAABYOnSpfj444/x9NNP45lnnkF8fDw++eQT4gFImHMQH0DCnGLt2rXo6upiLFruvfdexMTE4IsvvmD2SU5OxgsvvIBNmzYBGE5Mb2trQ1dXF9avX4+PP/4YSUlJCA0NRWhoKBobG3Ho0CGsW7cOQUFBqKqqwo4dO+Dh4YFLly7N6bZjswFFUbh48SLy8vKsPt7X14djx46huLgYJ06cQFhYGBMZzMrKmnUxaA5FURYt6fR6PSOA6Bwzk8mE8vJyDA0NITs726n8B+3JyPZ8BoMBJpMJoaGhSElJYb4nFEVh37592Lt3L7N8SiAQnA8iAAlzCoVCMcoIet++fRZG0CwWC++99x7uvvtuAMDBgwdxzz33jDrX7t27sWfPHrS3t+OXv/wlKioqoFKpEBUVhfXr12P37t02t+siTA2VSoXjx4+juLgYx48fR0BAADZu3IjCwkIsWrTIqcQ3RVGMpYpEIoFGo0FgYCA0Gg0oikJOTg64XO5sD3NG6O/vx+XLl+Hr6wutVguNRoNPP/0U6enpMBqNeOmll3DixIkxbwIIBMLsQwQggUBwCoaGhnDy5EkUFRXh2LFj8PLywk033YTCwkLk5+fD1dV5MlZoMVheXg6tVguKohAQEAA+n4/g4OArWgiqVCpcvnwZ0dHRmDdvHgBgYGAAL774Ir744gum3d0999yDwsJCREZGzvKICQSCNYgAJBAITodGo8E333yDoqIiHD16FK6urtiwYQM2bdqEa665ZtZ7/hqNRohEIhiNRmRlZUGv1zMt6QYGBuDv78+0pJvL+YAjGRwcxOXLlxEZGYn4+HhmO0VR+PDDD7Fz5068/fbbkEgkOHLkCH744Qe8/fbbViPwBAJhdiECkEAgODV6vR5nzpzB4cOH8dlnn8FoNGLDhg0oLCzEypUrZzzaRnc1oSgKWVlZoyKTGo0GEokEYrEYfX19jL8en8+3S/u72WJoaAiXL19GWFgY5s+fz1QDUxSFTz/9FA8//DCKi4st2qRJpVK4uLiQVAoCwQkhApBAIMwZDAYDfvzxR/znP//BZ599hsHBQaxfvx4FBQW44YYbHB5t0+v1EAqFcHFxQWZm5oQ5ilqtFlKpFBKJBAqFAt7e3kxLOi8vL4eO1Z7Q4i80NBQJCQkWVjDFxcW4//778cknn2D9+vWzOEoCgTAZnKfcjkC4Aunt7cXWrVvB4/HA4/GwdetWKJXKcY8pLi7G6tWrGfNkkUg0ah+tVouHH34YQUFB8PLywsaNG9HR0eGYSTgRrq6uWLlyJf7xj3+gra0Nx44dQ0hICP74xz8iNjYWd999N44cOYLBwUG7P7der4dAIICrq6tN4g/4r79ednY2rr32WkRHR6Ovrw8XLlzAuXPn0NDQYLPZ8myhVqtRUlICPp8/SvwdO3YM9913Hz788MMZFX9T+V5RFIU9e/YgPDwcHh4eWLlyJSorKy32Wbly5SgT+ok8Sq3x/vvvIzAwcFSLvVtuuQW/+tWvJn0+AsERkAgggeBA1q5di46ODrz11lsAhm1rYmNjLWxrRvLBBx+gubkZ4eHh2LZtG4RCITIzMy32+f3vf48vvvgCBw8eRGBgIHbs2AGFQoGSkhKnqpydKUwmEy5duoSioiIcOXIEXV1dWLVqFQoKCrB27Vr4+PhM6/w6nQ4CgQBubm5YuHDhtK1qDAYD05JOJpOBy+Uyy8T2aklnDzQaDS5fvozAwMBR5t0nTpzAr371K7z33nu47bbbZnRcU/le7d27F3/7299w8OBBJCYm4q9//Su+//571NbWMp+PlStXIjExEX/5y1+Y4zw8PMDj8SY1PrVajbCwMLz99tvMayOTyRAREYETJ07guuuum+yUCQS7QwQggeAgqqurkZqaigsXLjAmsRcuXEB+fj5qamqQlJQ07vEtLS2Ii4sbJQD7+voQHByMDz74AHfccQcAoKurC1FRUTh+/DhWr17tsDnNBUwmE0pLS3H48GEUFxejpaUF119/PQoKCrB+/XrweLxJCSydToeSkhJ4enoiIyPD7j6FRqMRcrkcEomEyZkz70IyW2KQFn8BAQFISUmxGMe3336LzZs346233sKdd945o2OcyveKoiiEh4fjkUcewRNPPAFgOIrO5/Oxd+9e3HfffQCGBWBmZiZeeeWVaY/zgQceQEtLC44fPw4AePXVV/Haa6+hoaHBaQQ+4eqGLAETCA7i/Pnz4PF4Fh0C8vLywOPxcO7cuSmft6SkBHq93iLZPjw8HOnp6dM675UCm81GVlYW/va3v6GqqgqXLl1Cbm4u9u3bh7i4ONx8883417/+BblcPuHSq1arxeXLl+Hl5eUQ8QeAEXzp6em49tprkZqaCpPJhLKyMpw9exZVVVWQyWQwmUx2f+6x0Gq1KCkpgb+//yjx9/333+POO+/Evn37Zlz8AVP7XjU3N6Onp8fiO+Pm5oZrr7121DGHDh1CUFAQ0tLSsHPnTgwMDExpnNu2bcPJkyfR2dkJAIw3KRF/BGfBeYy1CIQrjJ6eHoSEhIzaHhISgp6enmmdl8vlwt/f32I7n8+f1nmvRFgsFtLT05Geno7du3ejrq4ORUVFeOedd7B9+3YsX74chYWFuOmmmxASEmJxcdZoNCgpKQGPx0NaWtqMXLjZbDbTGjElJYVpSVdVVQWj0WjRks5RS/10xJPH4yE1NdVi3ufOncPtt9+O//f//h9+/etfz4qYmcr3it4+smc4n89Ha2sr8/+WLVsQFxeH0NBQVFRUYNeuXSgtLcWpU6cmPc6srCwsXLgQ77//PlavXo3y8vJxl6gJhJmGRAAJhEmyZ8+eUYniI/8uX74MAFYvkBRFOeTC6ajzXimwWCwkJSXhqaeewqVLl1BbW4u1a9fio48+QmJiItauXYs33ngDnZ2dqK2txfr168HhcGZM/Fkbb0BAAJKTk7F8+XJkZ2eDy+Wirq4OZ8+eRVlZGXp6emAwGOz2nLT48/b2HiX+fv75Z9x66614/vnnsW3bNru/JjPxvRr5+Mhjtm3bhhtuuAHp6enYvHkzDh8+jNOnT0MgEExpTr/73e/w3nvv4d1338UNN9xg0S+ZQJhtSASQQJgkDz300ISVgbGxsSgrK4NYLB71mFQqHRWJmAyhoaHQ6XTo7e21iAJKJBIsXbp0yue9mmCxWJg3bx4ef/xx7Ny5E+3t7SguLkZxcTH++Mc/wtfXF1lZWQgKCprtoQIYHi9d8ZqQkACVSgWxWIympiZUVlZadCGZqkk2XeXs6emJ9PR0i+VugUCATZs2Yffu3XjwwQcdIogd+b0KDQ0FMBwJDAsLY7ZLJJJxv4vZ2dngcDior69Hdna2LdOwYMuWLYw59vvvvz/p4wkER0IEIIEwSegluonIz89HX18ffv75ZyxevBgAcPHiRfT19U1LqOXk5IDD4eDUqVO4/fbbAQDd3d2oqKjASy+9NOXzXq2wWCxER0fjkUcewZo1a3DdddcxeXhZWVlYsGABCgsLUVBQgPj4+FmPsrJYLPj4+MDHxwfz58/H4OAgJBIJ2traUFVVhYCAAKYLiZubm03npMWfu7v7qFzHsrIyFBQU4Mknn8QjjzzisPk78ntFL+ueOnUKWVlZAIajnWfPnsXevXvHfK7Kykro9XoL0TgZfH19ccstt+DLL79EYWHhlM5BIDgKUgVMIDiQtWvXoqurCwcOHAAwbFcRExNjkQuUnJyMF154AZs2bQIAKBQKtLW1oaurC+vXr8fHH3+MpKQkhIaGMpGM3//+9zh27BgOHjyIgIAA7Ny5E3K5/Kq1gbEHPT09yMrKwt13343nn38ewLB1x5EjR1BUVITvvvsOycnJjBgcaYviDKjVaqYLSX9/P3g8HmM8PZZJtsFggEAgAIfDGWVxU1VVhbVr1+Lhhx/GM8884zTzncr3au/evXjhhRfw3nvvISEhAc8//zzOnDnD2MA0Njbi0KFDWLduHYKCglBVVYUdO3bAw8MDly5dmvL36sYbb0RKSgpee+216U+cQLAnFIFAcBhyuZzasmUL5ePjQ/n4+FBbtmyhent7LfYBQL333nvM/++99x4FYNTf7t27mX3UajX10EMPUQEBAZSHhwe1YcMGqq2tbWYmdYViMpmoEydOUCaTyepjcrmcevfdd6kNGzZQbm5uVEpKCvXkk09SFy9epAYGBqjBwUGn+pPL5VRNTQ31/fffU59//jn17bffUhUVFZRUKmX26evro86cOUP98MMPVH9/v8XxAoGA4vP51FNPPWX1NZlNpvK9MplM1O7du6nQ0FDKzc2NWrFiBVVeXs483tbWRq1YsYIKCAiguFwuFR8fT23fvp2Sy+VTHuNHH31EsdlsqqamZkrnIBAcCYkAEggEwiTp6+vDF198geLiYnz99dcIDw9nIoOZmZkOsYuZDjqdjmlJJ5fL4eXlheDgYMjlcri4uCArK8siwtXQ0IC1a9firrvuwt69e51uPnOB2NhY9Pb24plnnsHOnTtnezgEwiiIACQQCIRpoFKpcPz4cRQVFeH48eMICgrCxo0bUVhYiEWLFjmdeNLr9ZBIJKivr4der4enpydCQkIwNDSEjIwMtLW1Yc2aNSgsLMQrr7zidOMnEAj2gQhAAoFAsBNDQ0P4+uuvUVRUhC+//BLe3t646aabUFhYiPz8fKfIzzQajSgtLYXRaMSCBQugVCqZfFM3Nzd4eHggMzMThw8fhqsrqRMkEK5UiAAkEAgEB6DRaHD69GkUFxfj888/B4fDwU033YRNmzZh2bJlU7ZrmQ50mzy9Xo/s7GwLgdfU1ITf/OY3GBgYgEQiAZfLxaZNm/Dggw8iLS1txsdKIBAcC4ntEwgEggNwd3fHhg0b8O6776Knpwfvv/8+2Gw27rnnHsTHx+OBBx7AyZMnodPpZmQ8dHs5nU6HrKwsC/EnFotx6623Ijk5GRUVFejp6cGHH34IYLgSmkAgXHkQAUggECzo7e3F1q1bGePhrVu3QqlUjnsMRVHYs2cPwsPD4eHhgZUrV6KystJin5UrV47q7DCR8e+VAofDwapVq3DgwAF0dnbiP//5D7y8vPDggw8iLi4O9957L44dOwaNRuOQ5zeZTCgvL4dGo2HMjWlkMhluuukmZGZm4t1334WLiws4HA6uv/567N+/H9dee61DxkQgEGYXIgAJBIIFd911F0QiEU6cOIETJ05AJBJh69at4x7z0ksv4X//93+xb98+XLp0CaGhobjxxhsxMDBgsd+2bdvQ3d3N/NE+blcTrq6uuO666/CPf/wDbW1tOHr0KIKCgvD4448jLi4O99xzDz777DMMDQ3Z5flMJhMqKiowNDQ0SvwpFArcdNNNSExMxAcffDBjOX9TuckoLi7G6tWrERQUBBaLBZFINGofrVaLhx9+GEFBQfDy8sLGjRvR0dHhmEkQCHMckgNIIBAYqqurkZqaigsXLmDJkiUAgAsXLiA/Px81NTVISkoadQxFUQgPD8cjjzyCJ554AsDwhZjP52Pv3r247777AAxHADMzM/HKK6/M2HzmEiaTCZcuXcLhw4dx5MgR9PT04MYbb0RhYSHWrFkDHx+fSZ+ToihUVlaiv78fubm54HK5zGNKpRI33XQTwsPDUVRUZPGYo1m7di06Ojrw1ltvARg2co6NjbUwch7JBx98gObmZoSHh2Pbtm0QCoXIzMy02Of3v/89vvjiCxw8eBCBgYHYsWMHFAoFMUgnEKwxK+6DBALBKXnnnXcoHo83ajuPx6Peffddq8c0NjZSACiBQGCxfePGjdSvfvUr5v9rr72WCgoKogIDA6nU1FRqx44dVH9/v13Hf6VgNBqpkpISateuXVRycjLl7u5ObdiwgXr77bepzs5OSqVSTWgErVKpqJ9//pk6efIkpVAoLB7r7u6mlixZQq1evZpSq9UzOreqqioKAHXhwgVm2/nz5ykANhkmNzc3UwAooVBosV2pVFIcDof6+OOPmW2dnZ0Um82mTpw4YbfxEwhXCmQJmEAgMPT09CAkJGTU9pCQEPT09Ix5DADw+XyL7Xw+3+KYLVu24KOPPsKZM2fwzDPPoKioCDfffLMdR3/lwGazkZ2djeeffx5VVVW4dOkScnJy8NprryEuLg633HIL3n//fcjlclBWFnEoikJ1dTWUSiVycnIsegKrVCrceuut8PLywpEjR8ZsEecozp8/Dx6Px0SYASAvLw88Hg/nzp2b8nlLSkqg1+uxatUqZlt4eDjS09OndV4C4UqFCEAC4Spgz549owowRv5dvnwZAKz2e6UoasI+sCMfH3nMtm3bcMMNNyA9PR2bN2/G4cOHcfr0aQgEAjvM8MqFxWIhPT0de/bsQWlpKcrKyrBixQq8/fbbmDdvHjZu3Ih//vOfEIvFoCgKJpMJr776KmQyGXJyciwE3tDQEG6//Xa4uLjg888/h4eHx4zPZyo3Gbael8vlwt/f32L7yBsRAoEwDHH5JBCuAh566KEJK25jY2NRVlYGsVg86jGpVDoqwkcTGhoKYPgCHBYWxmyXSCRjHgOAKUior69Hdna2LdO46mGxWEhKSsJTTz2FXbt2oampCUVFRfj3v/+NHTt2IC8vD+7u7igrK8OZM2csxJ9Go8Gdd94JnU6HEydOwNvb265j27NnD5599tlx97l06RIzj5HYcpMxFRx1XgJhrkMEIIFwFRAUFISgoKAJ98vPz0dfXx9+/vlnLF68GABw8eJF9PX1YenSpVaPiYuLQ2hoKE6dOoWsrCwAw71nz549i7179475XJWVldDr9RaikWA7LBYL8fHx+OMf/4jHH38cbW1tuPvuu/HTTz/Bx8cHv/3tb5mWdHw+H7/85S/R19eHkydPwtfX1+7jceRNhi2EhoZCp9Oht7fXIgookUjG/OwSCFc1s5h/SCAQnJA1a9ZQCxYsoM6fP0+dP3+eysjIoDZs2GCxT1JSElVcXMz8/+KLL1I8Ho8qLi6mysvLqTvvvJMKCwtjijwaGhqoZ599lrp06RLV3NxMffnll1RycjKVlZVFGQyGGZ3flYjJZKKefPJJKjw8nKqrq6M6Ojqo119/nbruuusoFxcXys/Pj0pMTKTkcvlsD5UpArl48SKz7cKFC3YrAvnkk0+YbV1dXaQIhEAYAyIACQSCBXK5nNqyZQvl4+ND+fj4UFu2bKF6e3st9gFAvffee8z/JpOJ2r17NxUaGkq5ublRK1asoMrLy5nH29raqBUrVlABAQEUl8ul4uPjqe3btzuFILkSGBoaojZu3DhKQJlMJkosFlN33323xfsx20zlJkMul1NCoZD68ssvKQDUxx9/TAmFQqq7u5vZ5/7776ciIyOp06dPUwKBgPrFL35BLVy4kNxkEAhWID6ABAKBQJhRFAoFtm/fjqNHjwIANm7ciH379sHPz4/Zh8Vi4b333sPdd98NADh48CDuueeeUefavXs39uzZA2A4z/Hxxx/Hv//9b6jVaqabSVRUlKOnRCDMOYgAJBAIBAKBQLjKIDYwBAKBQCAQCFcZRAASCAQCgUAgXGUQAUggEAgEAoFwlUEEIIFAIBAIBMJVBhGABAJhzrJ//37ExcXB3d0dOTk5+OGHH8bd/+zZs0x7tHnz5uHNN98ctU9RURFSU1Ph5uaG1NRUHDlyxFHDJxAIhFmDCEACgTAn+eSTT/DII4/gT3/6E4RCIZYvX461a9eira3N6v7Nzc1Yt24dli9fDqFQiKeeegrbt29HUVERs8/58+dxxx13YOvWrSgtLcXWrVtx++234+LFizM1LQKBQJgRiA0MgUCYkyxZsgTZ2dl44403mG0pKSkoLCzECy+8MGr/J554AkePHkV1dTWz7f7770dpaSnOnz8PALjjjjvQ39+Pr776itlnzZo18Pf3x0cffeTA2cwtent7R/n4vf766xY+fiMpLi7GgQMHUFJSArlcDqFQiMzMTIt9Vq5cibNnz1psu+OOO/Dxxx/bewoEwlUPiQASCFcgUqkUoaGheP7555ltFy9eBJfLxcmTJ2dxZPZBp9OhpKQEq1atsti+atUqnDt3zuox58+fH7X/6tWrcfnyZej1+nH3GeucVyt33XUXRCIRTpw4gRMnTkAkEmHr1q3jHjM4OIhly5bhxRdfHHe/bdu2obu7m/k7cOCAPYdOIBD+D9fZHgCBQLA/wcHBePfdd1FYWIhVq1YhOTkZv/zlL/HAAw+MEjhzEZlMBqPRCD6fb7Gdz+ejp6fH6jE9PT1W9zcYDJDJZAgLCxtzn7HOeTVSXV2NEydO4MKFC1iyZAkA4O2330Z+fj5qa2uRlJRk9ThaILa0tIx7fk9PT4SGhtp1zAQCYTQkAkggXKGsW7cO27Ztw5YtW3D//ffD3d19wujLXIPFYln8T1HUqG0T7T9y+2TPebVx/vx58Hg8RvwBQF5eHng8nl0ipYcOHUJQUBDS0tKwc+dODAwMTPucBAJhNCQCSCBcwfzP//wP0tPT8emnn+Ly5ctwd3ef7SHZhaCgILi4uIyKzEkkklERPJrQ0FCr+7u6uiIwMHDcfcY659VIT08PQkJCRm0PCQmZdqR0y5YtiIuLQ2hoKCoqKrBr1y6Ulpbi1KlT0zovgUAYDYkAEghXME1NTejq6oLJZEJra+tsD8ducLlc5OTkjBIGp06dwtKlS60ek5+fP2r/kydPIjc3FxwOZ9x9xjrnlcSePXvAYrHG/bt8+TKA0VFSwD6R0m3btuGGG25Aeno6Nm/ejMOHD+P06dMQCATTOi+BQBgNiQASCFcoOp0OW7ZswR133IHk5GT89re/RXl5+RUTzXrsscewdetW5ObmIj8/H2+99Rba2tpw//33AwB27dqFzs5OvP/++wCGK3737duHxx57DNu2bcP58+fxzjvvWFT3/uEPf8CKFSuwd+9eFBQU4PPPP8fp06fx448/zsocZ5KHHnoImzdvHnef2NhYlJWVQSwWj3pMKpXa/bOVnZ0NDoeD+vp6ZGdn2/XcBMJVD0UgEK5Idu7cScXGxlJ9/7+9+wlp+o/jOP5Sc8xLgQnOMJZdNJDALcs/WacMXYeiQ5fIQpB1CbUgqoN/LrtbZoeyXaIivBgI5UEtyMRik8IFUuICN8LEwENU8ukQv9HY+MkPdP7083yABz97f8f3g5cnX/Wzb9/MysqKOXLkiPH5fBt9W2uqt7fXuN1u43A4jMfjMWNjY4nXmpqazNGjR5PmR0dHTUVFhXE4HGbPnj2mr68v5T2fPHliSktLTW5urikrKzMDAwPrvY1NZXp62kgyExMTibXXr18bSebDhw+rXj87O2skmVAotOrsu3fvjKSknyuAtcE5gMAWNDo6qmPHjmlkZESHDx+WJEWjUe3fv1+BQEAXL17c4DvEZtbQ0KD5+fnEES0tLS1yu916+vRpYqasrEyBQECnTp2SJC0uLioajWp+fl4+n0+PHj1SaWmpXC6XXC6XPn78qAcPHqixsVEFBQWanp7W5cuXlZeXp8nJSeXk5GzIXoGtigAEAPwni4uLKQdB37p1K+kg6KysLN2/f1/nz5+XJAWDQV24cCHlvTo6OtTZ2anPnz/r7Nmzev/+vZaXl7V79275fD51dHQoPz8/E9sCrEIAAgAAWIb/AgYAALAMAQgAAGAZAhAANsDt27dVUlIip9Mpr9erly9f/uv82NiYvF6vnE6n9u7dqzt37iS9HgwG057d9/379/XcBoBNigAEgAx7/PixWltbdePGDYVCIdXV1amhoUHRaDTt/OzsrBobG1VXV6dQKKTr16/r0qVLGhgYSJrbvn27YrFY0tdW+fQXAGuLfwIBgAw7dOiQPB6P+vr6Emv79u3TyZMnFQgEUuavXr2qwcFBRSKRxJrf79fU1JTGx8cl/XkC2NraqqWlpXW/fwCbH08AASCDfvz4obdv36q+vj5pvb6+Xq9evUp7zfj4eMr88ePH9ebNG/38+TOxtry8LLfbreLiYp04cUKhUGjtNwBgSyAAASCDFhYWtLKykvKxaYWFhYrH42mvicfjaed//fqlhYUFSX8OXg4GgxocHNTDhw/ldDpVW1urmZmZ9dkIgE2NzwIGgA2QlZWV9L0xJmVttfm/16uqqlRVVZV4vba2Vh6PRzdv3lRPT89a3TaALYIngACQQQUFBcrJyUl52vfly5eUp3z/cLlcaee3bdumnTt3pr0mOztblZWVPAEEkBYBCAAZ5HA45PV6NTw8nLQ+PDysmpqatNdUV1enzD9//lwHDhxQbm5u2muMMQqHwyoqKlqbGwewpRCAAJBh7e3tunv3rvr7+xWJRNTW1qZoNCq/3y9Junbtms6dO5eY9/v9mpubU3t7uyKRiPr7+3Xv3j1duXIlMdPV1aVnz57p06dPCofDam5uVjgcTrwnAPyNvwEEgAw7c+aMvn79qu7ubsViMZWXl2toaEhut1uSFIvFks4ELCkp0dDQkNra2tTb26tdu3app6dHp0+fTswsLS2ppaVF8XhcO3bsUEVFhV68eKGDBw9mfH8A/v84BxAAAMAy/AoYAADAMgQgAACAZQhAAAAAyxCAAAAAliEAAQAALEMAAgAAWIYABAAAsAwBCAAAYBkCEAAAwDIEIAAAgGUIQAAAAMsQgAAAAJYhAAEAACxDAAIAAFiGAAQAALAMAQgAAGAZAhAAAMAyBCAAAIBlCEAAAADLEIAAAACWIQABAAAsQwACAABYhgAEAACwDAEIAABgGQIQAADAMgQgAACAZQhAAAAAyxCAAAAAliEAAQAALEMAAgAAWIYABAAAsAwBCAAAYBkCEAAAwDIEIAAAgGUIQAAAAMsQgAAAAJYhAAEAACxDAAIAAFiGAAQAALAMAQgAAGAZAhAAAMAyBCAAAIBlCEAAAADL/Ab6DSkyZnUeAgAAAABJRU5ErkJggg==",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N_small = 10\n",
    "p_small,r_small = ringMaker(d = 0.1, N = N_small, rotmat = xRot,oxygen_positions=[-1],plane=0,yshift=0,xshift = 0,zshift=0)\n",
    "visualize_rings([p_small])\n",
    "print(p_small)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "58a790aa",
   "metadata": {},
   "outputs": [],
   "source": [
    "def write_pdb(molecule_coordinate_sets,fname,description,res_names,oxygen_locations=[[-1],[-1]]):\n",
    "    #molecule_coordinate_sets Is a list of matrices containing coordinates\n",
    "    #res_names is a list of the residue names\n",
    "    #fname is the file name to write to\n",
    "    #description is a description of the file contents\n",
    "    \n",
    "    pdb_headers = [\n",
    "            \"Record\", #1\n",
    "            \"Atom Number\",#2\n",
    "            \"Atom Name\",#3\n",
    "            \"Alternate location indicator\",#4\n",
    "            \"residue name\",#5\n",
    "            \"Chain\",#6\n",
    "            \"Residue Sequence Number\",#7\n",
    "            \"Code for insertions of residue\",#8\n",
    "            \"x\",#9\n",
    "            \"y\",#10\n",
    "            \"z\",#11\n",
    "            \"occupancy\",#12\n",
    "            \"temperature factor\", #13\n",
    "            \"element symbol\", #14\n",
    "            \"charge of atom\" #15\n",
    "        ]\n",
    "    atom_start_index = 0\n",
    "    res_sequence_number = 1\n",
    "    full_pdb_df = pd.DataFrame(columns = pdb_headers)\n",
    "    n_atoms =0\n",
    "    \n",
    "    for i,molecule_coordinate_set in enumerate(molecule_coordinate_sets):\n",
    "        specific_ring_oxygen_locations = oxygen_locations[i]\n",
    "        \n",
    "        n_atoms = np.shape(molecule_coordinate_set)[0]\n",
    "        if specific_ring_oxygen_locations[0] != -1:\n",
    "            n_oxygen = len(specific_ring_oxygen_locations)\n",
    "            n_hydrogen = n_oxygen\n",
    "        else:\n",
    "            n_oxygen = 0\n",
    "            n_hydrogen = 0\n",
    "        n_carbon = n_atoms - n_oxygen - n_hydrogen\n",
    "        specific_ring_oxygen_locations = [location + n_atoms for location in specific_ring_oxygen_locations]\n",
    "        res_name = res_names[i]\n",
    "        \n",
    "        print(n_carbon)\n",
    "        print(n_atoms)\n",
    "        #Creating dataframe object containing all pdb formatting \n",
    "        \n",
    "        pdb_df = pd.DataFrame(columns = pdb_headers)\n",
    "        atom_number= []\n",
    "        atom_name=[]\n",
    "        element_symbol=[]\n",
    "        \n",
    "        for i in range(n_atoms):\n",
    "            atom_num = atom_start_index+i+1\n",
    "            atom_number.append(atom_num)\n",
    "            if i < n_carbon:\n",
    "                atom_name.append(f\"C{atom_num}\")\n",
    "                element_symbol.append(\"C\")\n",
    "            elif i < n_carbon+n_oxygen:\n",
    "                atom_name.append(f\"O{atom_num}\")\n",
    "                element_symbol.append(\"O\")\n",
    "            else:\n",
    "                atom_name.append(f\"H{atom_num}\")\n",
    "                element_symbol.append(\"H\")\n",
    "        pdb_df[\"Record\"] = [\"HETATM\" for i in range(n_atoms)]\n",
    "        pdb_df[\"Atom Number\"] = atom_number\n",
    "        pdb_df[\"Atom Name\"] = atom_name\n",
    "        pdb_df[\"Alternate location indicator\"] =[\"\" for i in range(n_atoms)]\n",
    "        pdb_df[\"residue name\"] = [res_name for i in range(n_atoms)]\n",
    "        pdb_df[\"Chain\"] = [\"A\" for i in range(n_atoms)]\n",
    "        pdb_df[\"Residue Sequence Number\"] = [res_sequence_number for i in range(n_atoms)]\n",
    "        pdb_df[\"Code for insertions of residue\"] = [\"\" for i in range(n_atoms)]\n",
    "        pdb_df[\"x\"] = molecule_coordinate_set[:,0] #float\n",
    "        pdb_df[\"y\"] = molecule_coordinate_set[:,1] #float\n",
    "        pdb_df[\"z\"] = molecule_coordinate_set[:,2] #float\n",
    "        pdb_df[\"occupancy\"] = [1 for i in range(n_atoms)] #float\n",
    "        pdb_df[\"temperature factor\"] = [0 for i in range(n_atoms)]\n",
    "        pdb_df[\"element symbol\"] = element_symbol\n",
    "        pdb_df[\"charge of atom\"] = [\"\" for i in range(n_atoms)]\n",
    "        \n",
    "        if len(molecule_coordinate_sets) >1:\n",
    "            atom_start_index += n_atoms\n",
    "            res_sequence_number += 1\n",
    "        \n",
    "        full_pdb_df = pd.concat([full_pdb_df, pdb_df], axis=0)\n",
    "    #extracting data values for file writing\n",
    "    data = full_pdb_df.values\n",
    "    \n",
    "    \n",
    "    #writing file\n",
    "    OUT=open(f\"./pdb_files/{fname}.pdb\",'w')\n",
    "    outline = f\"HEADER    {description}\"\n",
    "    OUT.write(outline+\"\\n\")\n",
    "    outline = f\"MODEL     1\"\n",
    "    OUT.write(outline+\"\\n\")\n",
    "    for index, line in enumerate(data):\n",
    "        #s-> str d_. int %f -> float\n",
    "        outline=\"{:6s}{:5d} {:^4s}{:1s}{:3s} {:1s}{:4d}{:1s}   {:8.3f}{:8.3f}{:8.3f}{:6.2f}{:6.2f}          {:>2s}{:2s}\".format(\n",
    "            line[0],\n",
    "            line[1],\n",
    "            line[2],\n",
    "            line[3],\n",
    "            line[4],\n",
    "            line[5],\n",
    "            line[6],\n",
    "            line[7],\n",
    "            line[8],\n",
    "            line[9],\n",
    "            line[10],\n",
    "            line[11],\n",
    "            line[12],\n",
    "            line[13],\n",
    "            line[14]\n",
    "        )\n",
    "        OUT.write(outline+\"\\n\")\n",
    "    outline = \"{:6s}{:5d}\".format(\"TER\",atom_start_index+n_atoms+1)\n",
    "    OUT.write(outline+\"\\n\")\n",
    "    outline = \"{:6s}\".format(\"END\")\n",
    "    OUT.write(outline+\"\\n\")\n",
    "    \n",
    "    return full_pdb_df\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "193a4a7a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10\n",
      "10\n",
      "200\n",
      "200\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Record</th>\n",
       "      <th>Atom Number</th>\n",
       "      <th>Atom Name</th>\n",
       "      <th>Alternate location indicator</th>\n",
       "      <th>residue name</th>\n",
       "      <th>Chain</th>\n",
       "      <th>Residue Sequence Number</th>\n",
       "      <th>Code for insertions of residue</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "      <th>z</th>\n",
       "      <th>occupancy</th>\n",
       "      <th>temperature factor</th>\n",
       "      <th>element symbol</th>\n",
       "      <th>charge of atom</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>HETATM</td>\n",
       "      <td>1</td>\n",
       "      <td>C1</td>\n",
       "      <td></td>\n",
       "      <td>SM</td>\n",
       "      <td>A</td>\n",
       "      <td>1</td>\n",
       "      <td></td>\n",
       "      <td>-0.159155</td>\n",
       "      <td>3.023944</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>C</td>\n",
       "      <td></td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>HETATM</td>\n",
       "      <td>2</td>\n",
       "      <td>C2</td>\n",
       "      <td></td>\n",
       "      <td>SM</td>\n",
       "      <td>A</td>\n",
       "      <td>1</td>\n",
       "      <td></td>\n",
       "      <td>-0.159155</td>\n",
       "      <td>3.054340</td>\n",
       "      <td>0.093549</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>C</td>\n",
       "      <td></td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>HETATM</td>\n",
       "      <td>3</td>\n",
       "      <td>C3</td>\n",
       "      <td></td>\n",
       "      <td>SM</td>\n",
       "      <td>A</td>\n",
       "      <td>1</td>\n",
       "      <td></td>\n",
       "      <td>-0.159155</td>\n",
       "      <td>3.133917</td>\n",
       "      <td>0.151365</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>C</td>\n",
       "      <td></td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>HETATM</td>\n",
       "      <td>4</td>\n",
       "      <td>C4</td>\n",
       "      <td></td>\n",
       "      <td>SM</td>\n",
       "      <td>A</td>\n",
       "      <td>1</td>\n",
       "      <td></td>\n",
       "      <td>-0.159155</td>\n",
       "      <td>3.232280</td>\n",
       "      <td>0.151365</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>C</td>\n",
       "      <td></td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>HETATM</td>\n",
       "      <td>5</td>\n",
       "      <td>C5</td>\n",
       "      <td></td>\n",
       "      <td>SM</td>\n",
       "      <td>A</td>\n",
       "      <td>1</td>\n",
       "      <td></td>\n",
       "      <td>-0.159155</td>\n",
       "      <td>3.311858</td>\n",
       "      <td>0.093549</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>C</td>\n",
       "      <td></td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>HETATM</td>\n",
       "      <td>206</td>\n",
       "      <td>C206</td>\n",
       "      <td></td>\n",
       "      <td>LG</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td></td>\n",
       "      <td>-3.143910</td>\n",
       "      <td>-0.497946</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>C</td>\n",
       "      <td></td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>196</th>\n",
       "      <td>HETATM</td>\n",
       "      <td>207</td>\n",
       "      <td>C207</td>\n",
       "      <td></td>\n",
       "      <td>LG</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td></td>\n",
       "      <td>-3.157999</td>\n",
       "      <td>-0.398948</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>C</td>\n",
       "      <td></td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>197</th>\n",
       "      <td>HETATM</td>\n",
       "      <td>208</td>\n",
       "      <td>C208</td>\n",
       "      <td></td>\n",
       "      <td>LG</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td></td>\n",
       "      <td>-3.168972</td>\n",
       "      <td>-0.299556</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>C</td>\n",
       "      <td></td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>198</th>\n",
       "      <td>HETATM</td>\n",
       "      <td>209</td>\n",
       "      <td>C209</td>\n",
       "      <td></td>\n",
       "      <td>LG</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td></td>\n",
       "      <td>-3.176818</td>\n",
       "      <td>-0.199868</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>C</td>\n",
       "      <td></td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>HETATM</td>\n",
       "      <td>210</td>\n",
       "      <td>C210</td>\n",
       "      <td></td>\n",
       "      <td>LG</td>\n",
       "      <td>A</td>\n",
       "      <td>2</td>\n",
       "      <td></td>\n",
       "      <td>-3.181528</td>\n",
       "      <td>-0.099984</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>C</td>\n",
       "      <td></td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>210 rows × 15 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     Record Atom Number Atom Name Alternate location indicator residue name  \\\n",
       "0    HETATM           1        C1                                        SM   \n",
       "1    HETATM           2        C2                                        SM   \n",
       "2    HETATM           3        C3                                        SM   \n",
       "3    HETATM           4        C4                                        SM   \n",
       "4    HETATM           5        C5                                        SM   \n",
       "..      ...         ...       ...                          ...          ...   \n",
       "195  HETATM         206      C206                                        LG   \n",
       "196  HETATM         207      C207                                        LG   \n",
       "197  HETATM         208      C208                                        LG   \n",
       "198  HETATM         209      C209                                        LG   \n",
       "199  HETATM         210      C210                                        LG   \n",
       "\n",
       "    Chain Residue Sequence Number Code for insertions of residue         x  \\\n",
       "0       A                       1                                -0.159155   \n",
       "1       A                       1                                -0.159155   \n",
       "2       A                       1                                -0.159155   \n",
       "3       A                       1                                -0.159155   \n",
       "4       A                       1                                -0.159155   \n",
       "..    ...                     ...                            ...       ...   \n",
       "195     A                       2                                -3.143910   \n",
       "196     A                       2                                -3.157999   \n",
       "197     A                       2                                -3.168972   \n",
       "198     A                       2                                -3.176818   \n",
       "199     A                       2                                -3.181528   \n",
       "\n",
       "            y         z occupancy temperature factor element symbol  \\\n",
       "0    3.023944  0.000000         1                  0              C   \n",
       "1    3.054340  0.093549         1                  0              C   \n",
       "2    3.133917  0.151365         1                  0              C   \n",
       "3    3.232280  0.151365         1                  0              C   \n",
       "4    3.311858  0.093549         1                  0              C   \n",
       "..        ...       ...       ...                ...            ...   \n",
       "195 -0.497946  0.000000         1                  0              C   \n",
       "196 -0.398948  0.000000         1                  0              C   \n",
       "197 -0.299556  0.000000         1                  0              C   \n",
       "198 -0.199868  0.000000         1                  0              C   \n",
       "199 -0.099984  0.000000         1                  0              C   \n",
       "\n",
       "    charge of atom  \n",
       "0                   \n",
       "1                   \n",
       "2                   \n",
       "3                   \n",
       "4                   \n",
       "..             ...  \n",
       "195                 \n",
       "196                 \n",
       "197                 \n",
       "198                 \n",
       "199                 \n",
       "\n",
       "[210 rows x 15 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Parameter definition\n",
    "\n",
    "fname=\"combined_rings\"\n",
    "\n",
    "oxygen_locations = [\n",
    "    [-1], #Small ring\n",
    "    [-1]  #Large Ring\n",
    "]\n",
    "\n",
    "res_names = [\"SM\",\"LG\"]\n",
    "\n",
    "N_small = 10 \n",
    "N_large = 200\n",
    "description = f\"interlinked with {N_small} atoms spaced evenly around a circle for the small ring and {N_large} for the large ring with 3 hydrogen binding spots on each ring\" \n",
    "\n",
    "#Ring definitions\n",
    "p_large,r_large= ringMaker(d = 0.1, N = N_large, rotmat = zRot,plane=2,yshift=0,xshift = 0,zshift=0)\n",
    "p_small,r_small = ringMaker(d = 0.1, N = N_small, rotmat = xRot,plane=0,yshift=r_large,xshift = 0,zshift=0)\n",
    "\n",
    "\n",
    "\n",
    "#Creating small ring offset in y\n",
    "molecule_coordinate_sets=[p_small,p_large]\n",
    "combined_ring_pdb_df= write_pdb(molecule_coordinate_sets,fname,description,res_names,oxygen_locations)\n",
    "\n",
    "display(combined_ring_pdb_df)\n",
    "\n",
    "visualize_rings([p_large,p_small])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2a570f58",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib widget\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ab9330be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close()\n",
    "visualize_rings([p_small,p_large])\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "2c889e20",
   "metadata": {},
   "outputs": [],
   "source": [
    "#xml_template = open(\"./pdb_files/forcefield.txt\", \"r\")\n",
    "#print(xml_template.read())\n",
    "#\\n\\t\\t<Residue name=\"small\">'\n",
    "def generate_bond_and_atom_tags(pdb_df,residue_names,oxygen_locations):\n",
    "    n_residues = len(pdb_df[\"residue name\"].unique())\n",
    "    set_of_atom_tags = []\n",
    "    set_of_bond_tags = []\n",
    "    for residue_i in range(n_residues):\n",
    "        residue_oxygen_locations = oxygen_locations[residue_i]\n",
    "        atom_tags=\"\"\n",
    "        bond_tags=\"\"\n",
    "        min_residue_atom_number = pdb_df[\"Atom Number\"][pdb_df[\"residue name\"]==residue_names[residue_i]].min()\n",
    "        n = len(pdb_df[\"Atom Name\"][pdb_df[\"residue name\"]==residue_names[residue_i]])\n",
    "        atom_names = pdb_df[\"Atom Name\"][pdb_df[\"residue name\"]==residue_names[residue_i]]\n",
    "        \n",
    "        n_atoms = pdb_df[\"Atom Name\"][(pdb_df[\"residue name\"]==residue_names[residue_i])]\n",
    "        n_carbon = len(pdb_df[\"Atom Name\"][(pdb_df[\"residue name\"]==residue_names[residue_i]) & (pdb_df[\"element symbol\"]==\"C\")])\n",
    "        n_oxygen = len(residue_oxygen_locations) if residue_oxygen_locations[0] != -1 else 0 \n",
    "        print(residue_oxygen_locations)\n",
    "        n_hydrogen = n_oxygen\n",
    "        for i in range(n_carbon):\n",
    "            atom_tags += f'\\n\\t\\t\\t<Atom name = \"{atom_names[i]}\" type = \"{residue_i}\"/>'\n",
    "            if i+min_residue_atom_number == n_carbon+min_residue_atom_number-1:\n",
    "                bond_tags += f'\\n\\t\\t\\t<Bond atomName1 = \"{atom_names[i]}\" atomName2 = \"{atom_names[0]}\"/>'\n",
    "            else:\n",
    "                bond_tags += f'\\n\\t\\t\\t<Bond atomName1 = \"{atom_names[i]}\" atomName2 = \"{atom_names[i+1]}\"/>'\n",
    "        for i in range(n_oxygen):\n",
    "            atom_tags += f'\\n\\t\\t\\t<Atom name = \"{atom_names[i+n_carbon]}\" type = \"1\"/>' #for oxygens\n",
    "            atom_tags += f'\\n\\t\\t\\t<Atom name = \"{atom_names[i+n_carbon+ n_oxygen]}\" type = \"2\"/>' #for hydrogens\n",
    "                            \n",
    "            bond_tags += f'\\n\\t\\t\\t<Bond atomName1 = \"{atom_names[residue_oxygen_locations[i]]}\" atomName2 = \"{atom_names[i+n_carbon]}\"/>'\n",
    "            bond_tags += f'\\n\\t\\t\\t<Bond atomName1 = \"{atom_names[i+n_carbon]}\" atomName2 = \"{atom_names[i+n_carbon+ n_oxygen]}\"/>' #oxygen to hydrogen bond\n",
    "            \n",
    "\n",
    "        set_of_atom_tags.append(atom_tags)\n",
    "        set_of_bond_tags.append(bond_tags)\n",
    "    return set_of_atom_tags,set_of_bond_tags\n",
    "\n",
    "\n",
    "\n",
    "def write_forcefield_xml(set_of_atom_tags,set_of_bond_tags,residue_names):\n",
    "    atom_types = [\n",
    "        '\\n\\t\\t<Type name=\"0\" class=\"C_S\" element=\"C\" mass=\"1.00\"/>', #carbons belonging to small ring\n",
    "        '\\n\\t\\t<Type name=\"1\" class=\"C_L\" element=\"C\" mass=\"1.00\"/>', #carbons belonging to large ring\n",
    "        '\\n\\t\\t<Type name=\"2\" class=\"O\" element=\"O\" mass=\"16.00\"/>', #to be changed probs\n",
    "        '\\n\\t\\t<Type name=\"3\" class=\"H\" element=\"H\" mass=\"1.01\"/>' #to be changed probs\n",
    "    ]\n",
    "    top_file_template = f'<ForceField>\\n\\t<AtomTypes>{atom_types[0]}{atom_types[1]}{atom_types[2]}\\n\\t</AtomTypes>\\n\\t<Residues>'\n",
    "    \n",
    "    \n",
    "    #k = 50 since that is the bending constant from the paper\n",
    "    # angle = pi*([N_ring-2]/N_ring) from paper\n",
    "    harmonic_angle_large = [\n",
    "        '\\n\\t<HarmonicAngleForce>',\n",
    "        '\\n\\t\\t<Angle class1=\"C_L\" class2=\"C_L\" class3=\"C_L\" angle=\"3.11\" k=\"50\"/>',\n",
    "        '\\n\\t</HarmonicAngleForce>'\n",
    "    ]\n",
    "    \n",
    "    #k = 100 since that is the bending constant from the paper\n",
    "    # angle = pi*([N_ring-2]/N_ring) from paper\n",
    "    harmonic_angle_small = [\n",
    "        '\\n\\t<HarmonicAngleForce>',\n",
    "        '\\n\\t\\t<Angle class1=\"C_S\" class2=\"C_S\" class3=\"C_S\" angle=\"2.51\" k=\"100\"/>',\n",
    "        '\\n\\t</HarmonicAngleForce>',\n",
    "    ]\n",
    "    \n",
    "    #R_o = 1.5*sigma where sigma = 1 from paper\n",
    "    #K = 30 KbT/sigma^2 = 30 since kbT = 1 \n",
    "    #Two classes since they are applied to both rings\n",
    "    FENE_potential = [\n",
    "        '\\n\\t<CustomBondForce energy=\"(-(K*(R_o)^2)/2)*log(1- (r/R_o)^2)\">',\n",
    "        '\\n\\t\\t<GlobalParameter name = \"K\" defaultValue = \"30\"/>',\n",
    "        '\\n\\t\\t<GlobalParameter name = \"R_o\" defaultValue = \"1.5\"/>',\n",
    "        '\\n\\t\\t<Bond class1=\"C_S\" class2 = \"C_S\" />',\n",
    "        '\\n\\t\\t<Bond class1=\"C_L\" class2 = \"C_L\" />',\n",
    "        '\\n\\t</CustomBondForce>'\n",
    "    ]\n",
    "    \n",
    "    #sigma = epsilon = 1 based on paper\n",
    "    #bond cutoff = 2^(1/6)*sigma=1.12 from paper\n",
    "    custom_LJ = [\n",
    "        '\\n\\t<CustomNonbondedForce energy=\"4*epsilon1*epsilon2*((sigma1*sigma2/r)^12+(sigma1*sigma2/r)^6+1/4)\" bondCutoff=\"2\">', # changing to 2 \n",
    "        #'\\n\\t\\t<GlobalParameter name=\"eps\" defaultValue=\"1\"/>',\n",
    "        #'\\n\\t\\t<GlobalParameter name=\"sigma\" defaultValue=\"1\"/>',\n",
    "         '\\n\\t\\t<PerParticleParameter name=\"sigma\"/>',\n",
    "         '\\n\\t\\t<PerParticleParameter name=\"epsilon\"/>',\n",
    "         '\\n\\t\\t<Atom type=\"0\" sigma=\"1\" epsilon=\"1\"/>',\n",
    "         '\\n\\t\\t<Atom type=\"1\" sigma=\"1\" epsilon=\"1\"/>',\n",
    "         '\\n\\t</CustomNonbondedForce>'\n",
    "    ]\n",
    "\n",
    "    bonding_forces = harmonic_angle_large+harmonic_angle_small+FENE_potential+custom_LJ\n",
    "\n",
    "    bottom_file_template = f'\\n\\t</Residues>{\"\".join(bonding_forces)}\\n</ForceField>'\n",
    "    xml_file = top_file_template\n",
    "    \n",
    "    n_residues = len(set_of_atom_tags)\n",
    "    for i in range(n_residues):\n",
    "        residue_name = residue_names[i]\n",
    "        residue_tag_start_format = f'\\n\\t\\t<Residue name=\"{residue_name}\">'\n",
    "        residue_end_tag = '\\n\\t\\t</Residue>'\n",
    "        xml_file+= residue_tag_start_format\n",
    "        xml_file += set_of_atom_tags[i]\n",
    "        xml_file += set_of_bond_tags[i]\n",
    "        xml_file +=residue_end_tag\n",
    "    xml_file += bottom_file_template \n",
    "    OUT=open(f\"./pdb_files/forcefield.xml\",'w')\n",
    "    OUT.write(xml_file)\n",
    "    return xml_file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "9cd003d6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-1]\n",
      "[-1]\n"
     ]
    }
   ],
   "source": [
    "set_of_atom_tags,set_of_bond_tags = generate_bond_and_atom_tags(combined_ring_pdb_df,res_names,oxygen_locations)\n",
    "xml_file = write_forcefield_xml(set_of_atom_tags,set_of_bond_tags,res_names)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6bb0a4c2",
   "metadata": {},
   "source": [
    "# MSD Calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "0bcd59e9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(16, 3)\n",
      "48.5625\n"
     ]
    }
   ],
   "source": [
    "r1 = p_small[3,:]\n",
    "r2 = p_large[1,:]\n",
    "\n",
    "euclidean_distance(r1,r2)\n",
    "\n",
    "n_small = np.shape(p_small)[0]\n",
    "n_large = np.shape(p_large)[0]\n",
    "distance_matrix = np.zeros((n_small,n_large))\n",
    "\n",
    "#Calculate the distance from each unit of the smaller ring to each unit on the longer ring\n",
    "for i in range(n_small):\n",
    "    for j in range(n_large):\n",
    "        r1 = p_small[i,:]\n",
    "        r2 = p_large[j,:]\n",
    "        distance_matrix[i,j]= euclidean_distance(r1,r2)\n",
    "\n",
    "#Return the distance \n",
    "closest_monomer_to_each_bead = np.argmin(distance_matrix,axis=1)\n",
    "average_closest_bead = np.mean(closest_monomer_to_each_bead)\n",
    "\n",
    "\n",
    "print(average_closest_bead)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "0c8c42c8",
   "metadata": {},
   "outputs": [],
   "source": [
    "def euclidean_distance(r1,r2):\n",
    "    d = np.sqrt(\n",
    "        np.sum(\n",
    "            np.square(r1-r2)\n",
    "        )\n",
    "    )\n",
    "    return d\n",
    "\n",
    "def find_closest_monomer(p_small,p_large):\n",
    "    n_small = np.shape(p_small)[0]\n",
    "    n_large = np.shape(p_large)[0]\n",
    "\n",
    "    distance_matrix = np.zeros((n_small,n_large))\n",
    "\n",
    "    #Calculate the distance from each unit of the smaller ring to each unit on the longer ring\n",
    "    for i in range(n_small):\n",
    "        for j in range(n_large):\n",
    "            r1 = p_small[i,:]\n",
    "            r2 = p_large[j,:]\n",
    "            distance_matrix[i,j]= euclidean_distance(r1,r2)\n",
    "\n",
    "    #Return the distance \n",
    "    closest_monomer_to_each_bead = np.argmin(distance_matrix,axis=1)\n",
    "    return closest_monomer_to_each_bead\n",
    "\n",
    "\n",
    "def calculate_mean_square_displacement(initial_closest_monomers_to_each_bead,current_closest_monomers_to_each_bead,mean_square_distance_particles_large):\n",
    "    #Calculating the mean square displacement\n",
    "    average_square_change_of_index = np.mean(\n",
    "        np.square(\n",
    "            current_closest_monomers_to_each_bead - initial_closest_monomers_to_each_bead\n",
    "        )\n",
    "    )\n",
    "    MSD = mean_square_distance_particles_large*average_square_change_of_index\n",
    "    return MSD\n",
    "\n",
    "def calculate_mean_square_particle_distance(ring):\n",
    "    n= np.shape(ring)[0]\n",
    "    for i in range(n):\n",
    "        if i ==n-1:\n",
    "             distances[i] = euclidean_distance(p_large[i,:],p_large[0,:])\n",
    "        else:\n",
    "             distances[i] = euclidean_distance(p_large[i,:],p_large[i+1,:])\n",
    "    mean_square_distance = np.square(np.mean(distances))\n",
    "\n",
    "    return mean_square_distance\n",
    "    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "2f2ae87b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "totSteps 10000\n",
      "(10000, 3, 220)\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "def reload(fname,T = 50, gamma = 1/50, length = 1, dt = 0.1, skipSteps = 1, \n",
    "           f_pdb = \"pdb\", f_ff = \"forcefield\", srSize = 20):\n",
    "    #fname = \"{}fs_{}ps_{}K_{}ss.xyz\".format(dt, length, T, skipSteps)\n",
    "    totSteps = int(length*1000/(skipSteps * dt))\n",
    "    print(\"totSteps\", totSteps)\n",
    "\n",
    "    a = np.loadtxt(fname)\n",
    "    nParticles = a.shape[-1]//3\n",
    "    a = a.reshape(totSteps, 3, nParticles)\n",
    "    print(a.shape)\n",
    "\n",
    "    return a\n",
    "position_time_tensor =reload(\"../../../../animation positions.xyz\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "id": "12ee5992",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_MSD(position_time_tensor,small_ring_carbon_indices,large_ring_carbon_indices):\n",
    "    \n",
    "    #Extract the small ring positions\n",
    "    p_small = position_time_tensor[:,:,small_ring_carbon_indices[0]:small_ring_carbon_indices[1]]\n",
    "        \n",
    "    #Extract the large ring positions\n",
    "\n",
    "    p_large = position_time_tensor[:,:,large_ring_carbon_indices[0]:large_ring_carbon_indices[1]]\n",
    "    \n",
    "    #Find the closest monomer to each bead for the initial position, transposing just to give the matrix the right shape \n",
    "    initial_closest_monomers_to_each_bead = find_closest_monomer(\n",
    "        p_small[0,:,:].T,\n",
    "        p_large[0,:,:].T\n",
    "    )\n",
    "    \n",
    "    nt = np.shape(position_time_tensor)[0]\n",
    "    mean_square_displacements = np.zeros(nt)\n",
    "    \n",
    "    #Calculating the MSD at each position, starting at 1\n",
    "    for i in range(1,nt):\n",
    "        #Finding the array of closest monomers of each bead of the large ring to the small ring\n",
    "        #This returns an array of monomer indices that is shape n_small x 1 \n",
    "        current_closest_monomers_to_each_bead = find_closest_monomer(\n",
    "            p_small[i,:,:].T,\n",
    "            p_large[i,:,:].T\n",
    "        ) \n",
    "        \n",
    "        #Calculating the mean square particle distance for particles in the large ring\n",
    "        #Can be replaced by r0 once this is standardized to speed calculation\n",
    "        mean_square_particle_distances_large_ring = calculate_mean_square_particle_distance(\n",
    "            p_large[i,:,:].T\n",
    "        )\n",
    "        \n",
    "        #Given the initial position, current position and particle distance, find displacement\n",
    "        mean_square_displacement = calculate_mean_square_displacement(\n",
    "            initial_closest_monomers_to_each_bead,\n",
    "            current_closest_monomers_to_each_bead,\n",
    "            mean_square_particle_distances_large_ring\n",
    "        )\n",
    "        mean_square_displacements[i]=mean_square_displacement\n",
    "    return mean_square_displacements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "id": "b7b888b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "small_ring_carbon_indices=(0,20)\n",
    "large_ring_carbon_indices=(20,220)\n",
    "mean_square_displacements = calculate_MSD(\n",
    "    position_time_tensor,\n",
    "    small_ring_carbon_indices,\n",
    "    large_ring_carbon_indices\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "id": "12a756e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'MSD')"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1b95694ba11f41878945f6582993bb24",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#np.shape(mean_square_displacements)\n",
    "plt.figure()\n",
    "plt.title(\"MSD\")\n",
    "plt.plot(np.arange(0,10000),mean_square_displacements)\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"MSD\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a1b70818",
   "metadata": {},
   "source": [
    "# Calculating Angular Displacement"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "id": "bca20db0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.183098861837907"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r_large"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "id": "eaaf55bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.10290494,  3.16700398,  0.04953495])"
      ]
     },
     "execution_count": 132,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(p_small,axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "id": "a868e2bd",
   "metadata": {},
   "outputs": [],
   "source": [
    "def calculate_circle_center_of_mass(ring):\n",
    "    return np.mean(ring,axis=0)\n",
    "\n",
    "def calculate_vector_magnitude(v):\n",
    "    return np.sqrt(np.sum(np.square(v)))\n",
    "\n",
    "def calculate_angular_displacement(position_time_tensor):\n",
    "   \n",
    "    #Extract the small ring positions\n",
    "    p_small = position_time_tensor[:,:,small_ring_carbon_indices[0]:small_ring_carbon_indices[1]]\n",
    "        \n",
    "    #Extract the large ring positions\n",
    "\n",
    "    p_large = position_time_tensor[:,:,large_ring_carbon_indices[0]:large_ring_carbon_indices[1]]\n",
    "    \n",
    "    #Find the closest monomer to each bead for the initial position, transposing just to give the matrix the right shape \n",
    "    initial_closest_monomers_to_each_bead = find_closest_monomer(\n",
    "        p_small[0,:,:].T,\n",
    "        p_large[0,:,:].T\n",
    "    )\n",
    "    \n",
    "    initial_index = int(np.mean(initial_closest_monomers_to_each_bead))\n",
    "    \n",
    "    nt = np.shape(position_time_tensor)[0]\n",
    "    angular_displacement = np.zeros(nt)    \n",
    "    \n",
    "    for i in range(nt):\n",
    "    \n",
    "        small_center = calculate_circle_center_of_mass(p_small[i,:,:].T)\n",
    "        large_center = calculate_circle_center_of_mass(p_large[i,:,:].T)\n",
    "        \n",
    "        initial_closest_monomer_position = p_large[i,:,initial_index]\n",
    "        r_o_L = large_center - initial_closest_monomer_position\n",
    "        r_s_com_t = small_center - initial_closest_monomer_position\n",
    "        theta = np.arccos(np.dot(r_o_L,r_s_com_t)/(calculate_vector_magnitude(r_o_L)*calculate_vector_magnitude(r_s_com_t)))\n",
    "        angular_displacement[i] = 180*theta/np.pi\n",
    "        \n",
    "    return angular_displacement\n",
    "    \n",
    "    \n",
    "     "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "id": "a7a54451",
   "metadata": {},
   "outputs": [],
   "source": [
    "angular_displacement = calculate_angular_displacement(position_time_tensor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "id": "d4ed41fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 149,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "195cf8119bed4221ac29a99cacbc0395",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=640.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(np.arange(0,100),angular_displacement[0:100])\n",
    "plt.title(\"Angular Displacement\")\n",
    "plt.ylabel(\"Angular Displacement (degrees)\")\n",
    "plt.xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "97d2fabf",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}