qlsa/plot_Hele-Shaw.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a99c32c9-464c-41d0-a519-2a4231b74cfd",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "Plotting results of using HHL to solve the 2D Hele-Shaw flow.\n",
    "\"\"\"\n",
    "\n",
    "import os\n",
    "import time\n",
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from qiskit.quantum_info import state_fidelity\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aadde2d2-d1bf-4987-997d-338705c0b1b7",
   "metadata": {},
   "source": [
    "# Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f7c39ddb-0955-4bfa-8b48-9d7b9893e5a9",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def fidelity(qfunc, true):\n",
    "    solution_qfun_normed = qfunc / np.linalg.norm(qfunc)\n",
    "    solution_true_normed = true / np.linalg.norm(true)\n",
    "    fidelity = state_fidelity(solution_qfun_normed, solution_true_normed)\n",
    "    return fidelity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "26c58dd6-8506-46c2-889f-44e576247280",
   "metadata": {},
   "outputs": [],
   "source": [
    "def HeleShaw(x, y, pin, pout, L, D, mu):\n",
    "    \"\"\"Analytical solution to the Hele-Shaw flow\"\"\"\n",
    "    P = pin + ((pout-pin)*x/L)\n",
    "    U = -(0.5/mu) * ( (pout-pin) * y * (D-y) / L)\n",
    "    return P, U"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6355b1d3-500f-4fc4-8846-65dfab15308b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def next_power_of_2(x):\n",
    "    return 1 if x == 0 else 2**math.ceil(math.log2(x))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f042abc9-3387-402b-975d-19984abd5fc3",
   "metadata": {},
   "source": [
    "# Problem setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a7bddcd7-7bbc-4f4b-bb26-251dfc12b7fd",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "nx = 2          # number of grid points in the x (horizontal) direction\n",
    "ny = 3          # number of grid points in the y (vertical/span-wise) direction\n",
    "nq = 3          # number of qubits required to represent the matrix (after transforming to pwer of 2 & Hermitian - see saved filename)\n",
    "s = 50000       # number of shots used to run\n",
    "var = 'pressure'   # which variable to solve for? pressure or velocity\n",
    "savedir = f'models'\n",
    "filename = f\"{savedir}/2DHS_HHL_fulldata_{var}_nx{nx}_ny{ny}\"\n",
    "filename_metadata = f\"_metadata\"\n",
    "filename_fulldata= f\"_circ-fullresults_nqmatrix{nq}_backend-statevector_shots{s}\"\n",
    "saveFig      = False\n",
    "figfilename  = f'Figs/2DHS_HHL_{var}_nx{nx}_ny{ny}.png'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8cbd08ce-6415-4caf-8896-b894ef8b5cd5",
   "metadata": {},
   "source": [
    "# Load computed data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ae5e5cbf-1de9-4e88-a1e6-0a8c503580a4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# parameters\n",
    "file = open(f'{filename}{filename_metadata}.pkl', 'rb')\n",
    "data = pickle.load(file)\n",
    "file.close()\n",
    "P_in    = data['P_in']\n",
    "P_out   = data['P_out']\n",
    "L       = data['L']\n",
    "D       = data['D']\n",
    "mu      = data['mu']\n",
    "rho     = data['rho']\n",
    "\n",
    "# solutions\n",
    "file = open(f'{filename}{filename_fulldata}.pkl', 'rb')\n",
    "data = pickle.load(file)\n",
    "file.close()\n",
    "state_true_norm    = data['classical_solution']\n",
    "state_hhl          = data['counts_solution_vector']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1beece94-5258-46fb-a5b9-f94dfeb0fa58",
   "metadata": {},
   "outputs": [],
   "source": [
    "# check if matrix was padded for non-2 power size\n",
    "nsys = nx*ny\n",
    "nsys_nxtpower = next_power_of_2(nsys)\n",
    "if nsys_nxtpower-nsys > 0:\n",
    "    state_hhl = state_hhl[:-(nsys_nxtpower-nsys)]\n",
    "    state_true_norm = state_true_norm[:-(nsys_nxtpower-nsys)]\n",
    "# check if matrix was Hermitian\n",
    "if len(state_hhl) > nsys:\n",
    "    state_hhl = state_hhl[-nsys:]\n",
    "    state_true_norm = state_true_norm[-nsys:]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "350cd16e-83e6-4ad0-ba92-3a2845c8788a",
   "metadata": {},
   "source": [
    "# Check results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "da365dde-61a8-44f7-86f5-07f2eeeb60ac",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True state:\t[0.57431815 0.04577332 0.57431815 0.04577332 0.57431815 0.04577332]\n",
      "Sim state:\t[0.57532599 0.04816638 0.57490869 0.0507937  0.57182165 0.04690416]\n"
     ]
    }
   ],
   "source": [
    "# extract true states (for comparison)\n",
    "print(f'True state:\\t{state_true_norm}')\n",
    "print(f'Sim state:\\t{state_hhl}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b2ff9bb7-1db4-4f4b-9560-1b5620e83ad5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fidelity: 0.9999600331038613\n"
     ]
    }
   ],
   "source": [
    "# compute fidelity\n",
    "print(f'Fidelity: {fidelity(state_hhl, state_true_norm)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e3766e9-d502-4f11-9be5-45487f538709",
   "metadata": {},
   "source": [
    "# Plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "99515317-881e-44a9-9a63-1b71a3ca2225",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "x = np.linspace(0, L, nx)\n",
    "y = np.linspace(0, D, ny)\n",
    "\n",
    "xx, yy = np.meshgrid(x, y)\n",
    "\n",
    "# Analytic solution\n",
    "P_analytic, U_analytic = HeleShaw(xx ,yy, P_in, P_out, L, L, mu)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "20c95994-4b72-458a-8292-b03cff373492",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x1000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams.update({'font.size': 15})\n",
    "fig, ax = plt.subplots(2,1,figsize=(10,10), facecolor=\"1\")\n",
    "ax = ax.ravel()\n",
    "fig.suptitle('Analytical solution', fontweight =\"bold\")\n",
    "\n",
    "# Pressure\n",
    "# first line (for legend)\n",
    "i = 0\n",
    "offset = i*P_in\n",
    "prop = P_analytic[i,:] + offset\n",
    "ax[0].plot(x, prop, 'k', label='true')\n",
    "ax[0].text(x[0], prop[0], f'y = {y[i]:0.1f}')\n",
    "# all other lines\n",
    "for i in range(1, ny):\n",
    "    offset = i*P_in\n",
    "    prop = P_analytic[i,:] + offset\n",
    "    ax[0].plot(x, prop, 'k')\n",
    "    ax[0].text(x[0], prop[0], f'y = {y[i]:0.1f}')\n",
    "\n",
    "ax[0].grid(linestyle = '--', linewidth = 0.5)\n",
    "ax[0].set_yticks([0, 100, 200, 400, 600, 800])\n",
    "ax[0].set_yticklabels(['0', '100', '200', '', '', ''])\n",
    "ax[0].set_ylabel('Pressure')\n",
    "ax[0].set_xticks(x)\n",
    "ax[0].set_xlabel('x')\n",
    "ax[0].legend(frameon=False);\n",
    "\n",
    "# Velocity\n",
    "Umax = np.max(U_analytic) # U_analytic[int(nx/2), int(ny/2)]  # Umax = centerline velocity\n",
    "# first line (for legend)\n",
    "i = 0\n",
    "offset = i*1\n",
    "prop = U_analytic[:,i]/Umax + offset\n",
    "ax[1].plot(prop, y, 'k', label='true')\n",
    "ax[1].text(prop[0]+0.1, y[0], f'x = {x[i]:0.1f}')\n",
    "# all other lines\n",
    "for i in range(1, nx):\n",
    "    offset = i*1\n",
    "    prop = U_analytic[:,i]/Umax + offset\n",
    "    ax[1].plot(prop, y, 'k')\n",
    "    ax[1].text(prop[0]+0.1, y[0], f'x = {x[i]:0.1f}')\n",
    "\n",
    "ax[1].grid(linestyle = '--', linewidth = 0.5)\n",
    "ax[1].set_xticks([0, 0.5, 1, 2, 3, 4])\n",
    "ax[1].set_xticklabels(['0', '0.5', '1', '', '', ''])\n",
    "ax[1].set_ylabel('y')\n",
    "ax[1].set_yticks(y)\n",
    "ax[1].set_xlabel(r'$U/U_{\\mathrm{max}}$')\n",
    "ax[1].legend(frameon=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "5aa76728-088c-49c3-9cda-de548fe08d5c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fidelity w.r.t analytical: 0.9928612614254747\n",
      "Fidelity w.r.t classical: 0.9999600331038613\n"
     ]
    },
    {
     "data": {
      "image/png": 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cc8/x9a9/ndtuu41TTjnlmKbpulwu/9JOX/3qVwN+XVtbG0899RR79uyhs7MTt9sNwPDwMG1tbbS3txN/nCMai4uLiYiI4JlnnuHnP/85F1988ZTTZ1977TUA1q9fP+n1vvjFL3LnnXeyefPmo143Ly+PNWvW8MYbb7Bz585xI+YmC+lefvllhoeHWb9+PWFhYcD4cDc1NRW73c67777LwMCA/5xR559//lFrOlkopHufbr/9dm699dYJ7du3byciIoKlS5eyb98+BgYGiIqKIi8vj927dwO+nUE9Ho9/F5vFixfjcDjo7e0lIiKCwsJC//DTzMxMTCYTNTU1gG/Dgurqarq7uwkNDWXevHns2LEDgPT0dEJDQ6msrARg/vz5HDhwgM7OTiwWC4sXL2br1q2A78MeGRnp35hhzpw5PL+rioauwalv2mCg9ZU/+/74sev4cd4SAKyuIbLbmsiuriX78W3kdDeSNdRJYnwY0cVzcKWn0RUdjScjgxUf/Shvv/02w8PDxMXFkZ6eznvvvQdAQUEB/f39/oU5ly9fzp49exgcHCQmJobs7GzeffddwLdQpMvl4sCBA/6556WlpfT39xMZGUlBQQHvvPMOcGjH1tHQbtGiRdx777309vYSHh7O8PCwf0OIzMxMzGYz1dXVnHfeedx4443U1tbS1dVFaGgoaWlp/n7S0tIIDw+noqICgHnz5lFfX09HRwchISEsXbrUf25KSgrR0dGUl5f73+/m5mba2towmUwsX76cbdu24fF4SEpKIj4+3r+YaWFhIR0dHbS0tGAwGFi5ciU7duzA5XIRHx9PSkoK+/btA8Bms9Hb20tjYyPg25F3165dDA0NERsbS2ZmJnv2+EZD5ufnMzg46F+YdNmyZbz33nsMDg4SHR1Nbm7uuM+s2+327267ZMkSysrK6OvrIzIyEpvN5h/WnpWVhdFoHPeZraqqoqenh7CwMObMmeN/vzMyMrBYLFRVVQGwYMEC6urq6OzsxGq1snDhQrZt2+b/zEZERPjf77lz59LY2Eh7e/uE9zs5OZmYmBj/+11cXExrayutra0YjUZWrFjhf78TExNJTEz07zxst9vp6uqiubkZgJKSEnbu3Mnw8DDx8fGkpqayd+9e/2e2r6/P/36vWLGC3bt343Q6iY2NJSsry/+ZzcvLY2hoiIMHDwKclM+IpqYm2tvbMZvNLFu2jK1bt+L1eklKSiIuLs6/aG9RURHt7e20tLT43+/t27fjdrtJSEggOTnZ/5m12+10d3fT1NQ04f2ermfE6Pt9tGdEbW0t4HtGVFRU+J8RxcXFkz4jRj+zY58R8+fPZ/v27YCeEXpG6BmhZ4SeEXpG6Bkx658Rw66T8gfvd955B9fIRgvH84wYHYlVWlpKbGwsEPgzYvQ9P3DgAFu2bPE/I37/+9/zwx/+kI6Ojinr3rVrFwsWLGDnzp3MmTOHj3/84zz99NNs2LABq9XK8uXLWbFiBWeffTbp6en+Z8Tpp5/OCy+8wOuvv87pp59OeHg4JSUlrFmzhtNPP524uDj/M2L0medyufzPjPj4eAYGBoiOjsbhcAT0jHjooYe444476O/vn/J+ampq6Onp8b/f4NsMYsuWLQE9I374wx/y4x//mBtuuIEbbriB7Oxsli1bxmWXXcby5cv9z4jRz67VamXPnj0TnhGjwVhdXR0DAwP+Z8ToDLbR92H0GTEa0j344INERETQ2dmJw+GgrKyMBQsW0NzcjNFoJDIykldffRWA+++/f8LmGod74YUXSE5OpqioyL+ZRHNzM4WFhSf0MyIuLu6I9zXK4PV6vQGdKZOabCRdVlYWXV1dREdHB7Gy4/fkroNc8/ddUx7v3f08bc/9ivDiU0m64LtH7e/GbX/htIPvjGszRkRgGRltZ7XZD428S0390EbeiYiIiIiIfNCmc+MIr9tN9YUX4mqeeoaQOTmZ3EcfwWAyva9rvd+NI77xjW9w7733cu2113LnnXce02tvueUWbr31Vh544AEuu+wywDeCLjc3l/b2dn74wx9y0UUXkZOTQ1hYGAaDgS984Qv87W9/46WXXpqw6+rbb7/Nk08+yYsvvsiWLVsYGhoiKiqKTZs2sWbNGv95Xq+X119/nY0bN/Lyyy+zY8cO3G43KSkpbN68GbvdDvh2d83Ly+O0007zj55ramoiNTWV+Ph4/1TfI6mpqaGwsBCAn/3sZ5x33nlkZGT4w7A1a9bw5ptvUlVVRW5urv91BoOBnJwc/z8EBaKlpYUnn3yS559/nldeecX/DwjXXXcdv/jFLwDfVN3vfe97XH/99fz85z+f0EdXVxexsbFERkbS09Pjb8/NzaWmpobDo6W2tjbS0tJISkqirq4Oo9HItddey1133cW9997L1772Nf+5o9devHgxixYt8tc82VTp//7v/yYxMfGI1z4RdXd3ExMTc9Ss6GQM9E8oVqsVq9Ua7DKmVXLUxOG/w611dG97HFd3C4PVuzBFJxF/9sQFGyeT0900oc3T10fL3nK+F3cG2dW15Dy2jeyeJnLdPeSkxxNmyx8J72xY7TbMKSkK70RERERE5KRjMBrf1wYMh0u56SYOXvMt3xdjw4mRn5dSbvoBISfAmuHnnXce9957L//3f//Hz372s/e9w+vmzZtpa2vj05/+9KSz2UZHd05myZIlLFmyhFtuuYXu7m5uueUWfvnLX/Ktb33LP/ITfAHYKaec4t9ptbm5mW9961v87W9/4wc/+AH/+Mc/prxGYmIiYWFhtLe309nZ6R89OJVnn32WoaEhrr/+eq655ppjup9jlZSUxBVXXMEVV1yB1+vln//8J5/73Oe48847ufzyy5k3b55/GuzoiNrDjYaCGRkZAV0zISGBc889l6effpqXX36Z0047jb///e+EhITwuc99bty5o0tJnXLKKf4NPrZs2UJJScnx3O5JTRtHyAQr8+JJiwllbCQ2WPsOvbufx9lQRphtJQVf+n984bR5LM+JI9o69b/QGD1u0vsm/1eemuhUKmIzeSlrGQ/O+xg/XvVlLl/7TT6a/Tkuacvh2y/U8fOf/40/f/4bvPSR9VR87vPU33QTbQ8+SO/m1xhubDwpEnMREREREZHpEn3OOWTcfRfmwzYcMKekkHH3XUSfc06QKhtv/fr1zJs3jwMHDvDTn/70iOd2d3f7pxtOZXSK62RrgzscDv8U+KOJjo7m9ttvx2Aw+KfuTyU5OZlbbrkF4Kjnmkwm/wi+3/3ud0et40j38+qrr/qnZk43g8HA+vXrOe+88wD87/toMLlp0yY6Jxn5+dBDDwFw6qmnBnytsRtIvPjiizQ2NnLuuedO2MTi9NNPx2Qy8fTTT/vXGBwdZTjbaCSdTGAyGvjRhrlc/dBODIAXiFr6caKWftwf3N19yVLWz/dtHuH1emnpcVLe3EtZU8+h3xu6iTcbyfzO9Tgd5Qw5KnA6HHj6+gCojUqZ9PpDphAqYzOojB2f0Ie4h8lqaya7qo7sx7bz8ao3iAk1Yy0oGD911m7DnJyskXciIiIiIjIjRZ9zDlFnnkn/9h24WlowJyURvnzZ+57iOp0MBgMPPfQQq1ev5pZbbmFwcJCbbrqJiIgI/zler5eNGzdy/fXX8/3vf/+IO3SOhjaPPfYY3//+9/1TITs7O/nKV77iD3fG+stf/sKSJUuYP3/+uPbnnnsOr9dLVlaWv+1//ud/OPfccyfsHvvss88CjDt3Kt/97nfZtGkTP/3pT1mxYgWnn366/5jL5eL555/37/A6ej8PPfQQV1xxhf99OXjwIFddFdistaN5++23qaqq4uMf//i43Vrb29v9a8iN3ld+fj7nnXcezzzzDNdccw2///3vCQkJAeDNN9/kvvvuw2Qy8fWvfz3g619wwQVERUXx6KOP0jeSA4zdMGJURkYGl19+Offffz+f//znuffee+nr6xu3jpvD4eCdd97hwgsvPPY34iSikE4mtX5+GvddspRbN+4dt4lEakwoP9ow1x/Qge/hmxwdSnJ0KGttif52r9dLr9NFVGjIuDZXYyNOh4Pm1xuhM/Cahk0hVMZkUBnjC+82VL2Op6eHgV27GBhZZBigNySUzvhU8tLiiLD7wjtLgU3hnYiIiIiIzBgGk4mIkpXBLuOIFi9ezAsvvMCFF17IHXfcwa9+9StWr15NSkoKXV1dbN++naamJkJDQ48agi1fvpyzzz6bf/3rXxQWFvpHrb388sskJiZywQUX8OSTT457zaOPPsqll15KQUEBCxYsICwsjKqqKrZs2YLRaOS2227zn/s///M/XH311cydO5c5c+ZgNpspLS3lnXfeITQ0lJtvvvmo93vaaafxs5/9jBtuuIEzzjiD5cuXY7fbaW1t5Z133sHpdPpHqZ1//vnMmzeP7du3Y7PZWLt2LYODg7z00kssXrzYv/HC+1FTU8OFF15ITEwMy5cvJzU1lc7OTl599VV6enrYsGEDq1ev9p//29/+llNPPZU///nPvPLKK6xevZqWlhZefvll3G43v/jFL1i8eHHA1w8LC+OTn/wkf/7zn/n73/9OVFQUF1xwwaTn3n333VRXV/Poo4+yadMmCgoKmDdvHn19fezduxeHw8EFF1ygkE5mr/Xz0zh7bipbq9p5c9d7rF48j5V58ZiMgYVcBoNhXEA32haSlkZIWhpfzO9iXm2Hb9RdUy9ljd10DLgC6jthoIvI4cl3oN2WMoefLb8Ys8dFZmsL2VUHyH5sB9k9TeS5e8hLjyPClu8L70ZG35mTkxTeiYiIiIiITLO1a9ficDj47W9/y8aNG9m9ezcdHR1ERkZSVFTEVVddxRVXXDHptM/DPfnkk/z0pz/lH//4B8899xzJyclcdNFF3HbbbXz729+ecP51111HZmYmr7/+Ops3b6avr4/09HQ+97nP8e1vf5vly5f7z/3JT37CE088wZYtW/j3v//N0NAQmZmZXHHFFVx//fUUFRUFdL/XX389JSUl/PKXv+T111/nnXfeITExkQULFvD5z3/ef57FYmHz5s384Ac/4LnnnuPpp58mIyOD//zP/+Tmm2/2j7h7P1atWsVtt93Giy++yP79+9m8eTNxcXEsXLiQr3zlK1xyySXjzs/IyGDbtm3cfvvtPPHEEzz22GOEh4dz5pln8u1vf5tzjmMq9cUXX8yf//xnAD75yU/6N8Y4XFhYGM899xwPP/wwf/rTn9i+fTv79u0jKSmJnJwcvvjFL3LRRRcd+5twktHurtMs0B07ZHJtvU7KmnpxNPdQ1tRLeXMPZQ3dtB8W3i1tdfDT1/5n0j7+NGc9fy86a8prmD0uMnpbye5pIqe70bdhhaeXvLQ4Im35WO02LAUFCu9ERERERERE5H0LNCtSSDfNZmpIt2PHDpYtWxa067f1OnE091LW3IujqYeCpEg+n2vB6XDgLHf4fq+oYMjh4Jb5n+HN9AXHfA2Tx429s45fvnqPv80YHe1b666gAKvd5h99Z05SeCciIiIiIiLyQQh2BjHdAs2KNN1VAuJyBTYN9YOSEGklIdJKSf74XWBC0tOJ/MhH/F97PR6Gfv0qNPQd8zXcRhNexgdvnu5uBnbuZGDnTt5MnUd5bKZv2qy3j/zUGKJGps1abQUK70RERERERESmQbAziGBRSCcBiY+PD3YJATEYjTx6zTo6+4cob+71rXXX1EN5cw/lDV009x35Gz2np3HKY6+nL+Df2YfWLDB63KS3tZFdfZCcx3eQ3d1ErreP/LRYogvyfOHdyOg7U2KiwjsRERERERGRAJwsGcR0U0gnAUlJSQl2CcckNtzCitx4VuSO/8bu6h/2BXbNI+Fdk2/Nu+Y+33bdhTnJhA7Px1lRgXdgYNxra6PGvwceo4kDUckciErmDQ5NrzV6PaS1tY6EdzvJ7mnC7u7Cnh43MurON/JO4Z2IiIiIiIjIRCdbBjFdtCbdNJupa9Jt2bKFkpKSYJfxgekaGMbR3EtaTCjpsWF4PR6G6xtwOsoZcjgYKHdwlncVg8aQo3c2ibUHd3PTtj9PaDfFxGC22wgrsI0feZeQoPBOREREREREZqWZlkFoTTqRYxATFsKynDj/1wajEUtmBpbMDFi3jsFhN5f8c79vt9n6Lhp6h4+p/6mm0bq7uviuZRmNbfHkVB8k+/Gd5IxMmy1IjyGmIA+rzX5o5J3COxEREREREZEZSSGdBMRmswW7hKAKDTFx08fn+r/uGfSNvPOte9fjW/uuoZP6nsnDu+yepin7ro5OpSM0mobIRN5Km+9vN3g9pLS1k11dT85jO/0bVtjSYogpyB0J73yj70zx8QrvREREREREZEaYrRmEQjoJSG9vLwkJCUc/cZaICg1hSXYcS7LjxrX3Ol2+8K6pxx/gldV3svKb/0FScyVDDgfOcgfOykq8g4N0h4TTETr5UFevwUhjRCKNEYlsTT0UEPrCuw6yq+v56O8fY1XjXkyxsVhtNiwj02WtBb7wzqz/ZiIiIiIiInKSma0ZhEI6CUhjYyM5OTnBLuOEF2k1szgrlsVZsZMcPdP/J6/Hw/DBg7yxdT9scx7TNXzhXQKNEQmsbtgDgLuzk/7t2+nfvt1/3ub0haSa3dhTo4ktyBnZsMLuC+9m6U45IiIiIiIicuKbrRmEQjqRIDAYjViysliVms7Gkl7fWndNvZQ3dVNW38WB7iEC2dFlqmm0TqOZO1ZcgsdgBCC5rYPsqgayH9tFTk8TufRjT40m3paLZezIO4V3IiIiIiIiIkGhkE4CsnLlymCXMCOFhphYkBnDgsyYce0DQ24qWsaEd42+abN1h4V3Oc7OSfs9EJXsD+gAmsPjaA6PY3vqnHHnJbX6wrucx3b51ryjH1tqDAkF2b7wzmbDardjjos7/BIiIiIiIiIiH4jZmkEopJOA7Nq1iyVLlgS7jFkjzGJifkYM8zPGh3eDw24czb04mns50NHPsp++zvCBAzgdDpyOipHfHdQNRAZ0nZbwOFrC49iRUjyu/fbn/4fFf/2b/2tTfPzIdFnfiDtLQYHCOxEREREREflAzNYMQiGdBGRoaCjYJQi+kXeHh3eWnBwsOTlEnXlozbvUHXXkPV9KTdcQnuO4TkZfy7iv3e3t9G/dSvW7Zdy15DO+abPdTeQZB7CnRJOYn411ZNMKi82m8E5ERERERESO22zNIIxHP0UEYmNjg12CHINPLsvipe+dzd6frOe5a07l7osW859n2Dh3bgp5sRZMhqlfGzY8SOJA16THqqLTeDu5iCcLPsKvlnyGaxddysdTP8HH2gr48r8a+d7PHuXuz1/Hox+9iHcv+w8af3IbHX//O/3btuHq6PiA7lZERERERE5EBoMBg+EIP3wADz74IAaDgcsuuyyg9sOtW7cOg8HAyy+/HFD7sbrlllswGAw8+OCD49ovu+yyaelfoLq6GoPBwLp16/xtszWD0Eg6CUhmZmawS5DjEBpiYk5aNHPSose1O11uqlr7KGvqxdHUQ1lTD2UHO6jpGqIgwkDMeefhrKhgqLIS75h/waiJTp30Ou1hMbSHxbAruXBce1xbN9nVjWQ/9g7Z3U2s768iOj8Xa0GBf+Sd1WbDNEsfwCIiIiIiIjLRbM0gFNJJQPbs2UNJSUmwy5BpYjWbKE6Npjh1fHg35PLQ0T9ESvSnAPC6XAzV1TFU4VvvrqHy2B4ZHaHRdIRG806SHZPHzbkbv09/cyP9b7017rzBlAyM+QWkFGSPBHcFCu9EREREROSEdfvtt3PjjTeSnZ0d7FJmpNmaQSikExE/i9lISnSo/2uD2Yw1Lw9rXh5RZ53FFx2tFFe3U9bYTfnBTqo6nbi8R+hwjIzeFkK87kmPvRCWzb0p5xPT1ktO1cjIu54m8oyD2FOiSM3P8m9aYbXZMMXETNqPiIiIiIjIhyEtLY20tLRglyEzjNakk4Dk5+cHuwQ5Aay1JfKtswr5zSXL+dd3z2LfbR/lhes+wm8uXsq1ZxXy8QWpFMZZMU+y7ER2T9OU/dZGpwDQZY1kd5KNp/PX8ptFn+I7C77AJ5I3cE6bjS++0MR3/t9j/PdF3+Z/P34Jb3/lKhpu+y86/vcf9O/Ygbtr8nX0RERERERmIrfHy5sVbTy56yBvVrTh9gT4r+cyLaZaky43N9e/Dt/vf/97Fi5cSFhYGKmpqVx55ZV0dnZO2p/L5eK+++5j9erVREdHExYWxuLFi7nrrrtwuVwTzt+1axc33HADy5YtIykpCavVSn5+Pl/72teor6+fcP7Ydd+6u7u57rrryMvLIyQkhG9961tHvd+WlhZuvPFG5s6dS2RkJDExMRQWFnLppZeydevWCefv3buXiy++mLS0NCwWCxkZGVx66aXs37//qNcC+Oc//4nBYOC73/3ulOdceOGFGAwGnnrqqXHt7e3tfO9732Pu3LmEhYURExPDGWecwdNPPz2hj/f7vkw3jaSTgAwODga7BDkBhZiM2JKjsCVHwYJD7cNuDzVt/Tiaeyhr6qW8sZtlp6SS8cXlOB0Ohhy+6bNDVVV4h4epjZp8rbtR3dZI9lgj2ZNYMK49qr2PxU87+P62HwFgTkrCardhKbCNH3kXHT1ZtyIiIiIiJ6VNexq4deNeGroO/ZyWFhPKjzbMZf18je46Edxwww3cfffdrFu3DpvNxuuvv87vfvc79u3bxyuvvDJuQ42BgQHOO+88XnrpJeLj41m1ahWhoaFs2bKFa6+9lpdeeonHH38co/HQOKs77riDRx99lIULF3LKKacAvuDuvvvu44knnmD79u2kp6dPqGtgYIDTTjuNmpoaTjvtNJYuXUpcXNwR76Wnp4eSkhKqqqrIysri7LPPxmw2U1tby9///nfy8/NZuXKl//x///vfbNiwgYGBAZYsWcK6desoLS3lL3/5C48//jjPPvssp5566hGv+dGPfpRbb72Vv//979xxxx0TNiDp6urimWeeISEhgY9+9KP+9rKyMs466yzq6urIzc3l3HPPpaenh7feeosNGzbw85//nOuvv35a3pcPgkI6CUh9fT1ZWVnBLkNOEr7wLhJbciTr5x928Jxz/H/0ulwM1dbS/Kd94Dz26/RYIug3W/1fu1pacLW00PfGmwC8kTaPlrA437TZ1CjS8jIJHbthhcI7EREREfkQtfUex196R0RYzYSGmNi0p4GrH9rJ4ePmGroGueqhnfz80ws5ozg54H7DLCbCLYoGpttf/vIXdu/eTVFREQCtra2sXr2azZs389JLL3HGGWf4z73++ut56aWX+NznPsdvf/tbYkaW9+np6eGiiy7iqaee4ne/+x1XXXWV/zVXXnkld999NykpKf42j8fDbbfdxo9+9CNuuukm/vjHP06oa+vWraxevZrKysqAd1B95JFHqKqq4vzzz58QFra0tNDUdGjWVF9fHxdffDEDAwPcc889fP3rX/cf++Uvf8l1113HF77wBcrLywkNDWUqHo+H008/nX//+9+89tprE0K9Rx55BKfTyZe//GVCQkIAcLvdfPrTn6auro6f/exnfPvb3/bX6nA4OOecc7jxxhtZv3498+eP/0H1eN6XD4K+E0UkaAxmM9b8fDbfnEtdxwBlTT04mnspa+im7GA7FR1OhjxH7uNI02hfyF7Bm2mHHr6Rbf1kVzeR/di7ZPc0kT+y5l16XsZIeGfHaitQeCciIiIiH4hlt71w3K/98QXzuLgkh1s37p0Q0I31nUd2H1O/15xp59qzC4+7rkAcPgrqWPzpT3/iT3/60zRW8+H4yU9+4g/oABITE7nqqqu4/vrrefXVV/0hXXNzM/fffz9ZWVk88MADhIWF+V8TFRXFH/7wB3JycrjvvvvGhXSnn376hGsajUZuvvlmfve7302YAjrWr371q2MKolpaWgA444wzxgV0AElJSSQlJfm//sc//kFTUxOrV68eF9ABXHvttTz88MPs2LGDRx99lIsvvviI173kkkv497//zcMPPzwhpHv44YcBxvWxceNG3n33XS688EK+853vjDvfZrPxi1/8gk996lPcf//93H333ROud6zvywdBIZ0EZNmyZcEuQWYws8lIXmIEeYkRnDvvULvb46WuvZ+yph7KR8K78pHwzjkS3uWHeSEkBIaHJ/RbE5Uy7uteSzh7E/LYm5A3rj2ifYDsfzWR/dgecnoayTU5mZMcQXpBFhabDWuBb+qsKSpq2u9dRERERCRQW6vax01xPVl86UtfmvKYw+Hg9ddfn/J4QUGBfzrnZDZt2jRuJNeJ4pwxM4hGFRb6wtCGhgZ/28svv8zw8DDr168fF9CNSk1NxW638+677zIwMDDunLa2Np566in27NlDZ2cnbrdvo77h4WHa2tpob28nPj5+XH9paWksX778mO5lNA/4+c9/TkpKCueddx5RU/xstHnzZoApA7hLLrmEHTt2sHnz5iOGdMuWLWPOnDlcffXVPPLII/z617/2j5g7ePAgr7zyCrm5uaxdu9b/mueffx6AT33qU5P2ORr0TbaG3vG8Lx8EhXQSkPfee49FixYFuwyZZUxGA7mJEeQmRnDOYeHdgY5+ypt6mZt+BmkR/8VQbS3OcgdOhwNnhYOeiioaIhICuk5fSBj7EnLZl5Drb1tf/RbX/OnP484zp6SMTJUt8IV3o9NmFd6JiIiIyIeguefkC+gAHnzwwSMeO1JId8oppxzx9evWrTshQ7rMzMwJbaPBltN5aNpzdXU1APfffz/333//Eftsb28nIyMDgL/97W989atfpbe3d8rze3p6JoR02dnZAdU/1plnnsm1117LXXfdxec//3nMZjNLly7l7LPP5vLLLx+30eTophW5ubmT9jXafvDgwSNeczSD2LBhA//3f//Hpk2b2LBhA+C7d4/Hwxe+8IVxozRH38uLL774iAFga2vrhLbjeV8+CArpJCDaOEJOJCajgZyECHISIvxt1oICrAUFwLkAtPcN8cmNeyg70IGjfZDBo0ybPdxk02hdTU24mpr4BgtwVrWMjLxrIs/kpDA5kqy8DKz2AoV3IiIiIvKBSI6aeg0vObEcPi10Kh6P7weVxYsXH3VgjNXqW4+7pqaGyy67DIC77rqL8847j4yMDP8ouzVr1vDmm2/i9U6cGH2kdeCO5M477+TKK6/kySef5IUXXuD1119n69at/OxnP+Nvf/sbF154YUD9BDr1eTSDuOSSS/i///s//vrXv/pDusmmusKh93L9+vXj1uo7XGJi4oS2431fpptCOglItNbokpNMfISFOy9aCoDH4+Vg5wDlzT2UN/VS1thN2YF2HG2DDEwR3k211p0HA/vjsnGaLeyPzxl3LKxtkKyaZnIee4/snibyzE7sSZFk56UTVugL7iw2G6bIyGm9VxERERE5Oey46azjfm2E1UyIyUhaTCiNXYNTrkuXEm1l4zdOwWQMLAwJs5iOuyZ5/0ZH3J1yyin8+te/Dug1zz77LENDQ1x//fVcc801E45XVlZOa42jioqKuOGGG7jhhhsYHBzknnvu4Tvf+Q5XX321P6Qb3VG2pqZm0j5GR7uNjgicymgG8dGPfpT4+Hieeuopent7qa2tZdeuXSxZsoS5c+eOe83oe3nFFVcEHBqeaBTSSUCmGqoqcjIwGg1kxYeTFR/OGcVjdz/yUt81QHlTL+XNPb4NKw6042gfZPGn1hNVlYfT4WCopgZcLgCawuNwmi2TXmcgJJSyuGzK4sYPlQ5td5L1r2ayH3uPj1a/xSLLoH+0ndVWoPBOREREZJZIiLS+7z5+tGEuVz+0EwOMC+pGI7lbz59HcvSJMSpIju7000/HZDLx9NNPc+edd/rXXTuSjo4OYPIpta+++uqHMv03NDSU66+/njvvvJOGhgaam5tJTk7m1FNP5YEHHuBvf/sbX/va1ya87qGHHgKYsBHE4UYziJCQED7zmc/w29/+lieeeIJ9+/YBk695d/bZZ/OHP/yBxx9/XCGdzGy7d++mpKQk2GWITCuj0UBmXDiZceGcPmab+tFh4aNDsb1DQwzV1OB0ONj3bj20H9t1Bs1WyuOyKI/LoqRxL676alyNjfS99tq483YUr6EgOZLcsSPvCgoU3omIiIiI3/r5adx3yVJu3bh33CYSqTGh/GjDXNbPTwtidXKsMjIyuPzyy7n//vv5/Oc/z7333jthqqbD4eCdd97xB0+jG1A89NBDXHHFFURE+JYBOnjw4LgdYKfLE088QWpqKqtWrRrXvmPHDpqamoiMjPTvivrZz36W733ve7z22mv87ne/46tf/ar//F/96lds376djIyMo4ZoYzOISy65hN/+9rc8/PDD7N+/H6PRyOc///kJr7nwwguZO3cuDz/8sH/U3+gUYfD9nPfGG28AjNtw4kSikE5E5DCHr5NgsFiw2u1Y7XbOPG2YPx3opLyph7KGLv+02V53YH1PNY220xLBTcW+XYisbUNk/mtk2mx3E3nmIezJkeTmpRE+suadpcCGKTJi0r5EREREZGZbPz+Ns+emsrWqneaeQZKjQlmZFx/wFNfZ5Gtf+9qUyzctXbqU3/zmNx9yRRPdfffdVFdX8+ijj7Jp0yYWL15MdnY2fX197N27F4fDwQUXXOAPts4//3zmzZvH9u3bsdlsrF27lsHBQV566SUWL17MmjVr/GHUdHj55Ze5++67ycjIYMmSJURHR1NfX8/mzZvxeDzceuutWCy+2UYRERE8/PDDbNiwgSuvvJLf/e53FBYWUlpayttvv01kZCR/+9vfjmkNuLVr15KTk8OmTZsA30YWo9NqxzKbzTzxxBOce+653Hzzzdxzzz0sXLiQ5ORkWltb2bVrF83Nzfzyl79USCcnt5ycnKOfJDILxISHcFphEqcVJvnbvF4vTd1Oypp6KG/u9YV3dW042gbpGRPemTxu0nsn7iQEUBt16F/LnGYLFbGZVMSOH75uaRsms3rsmnfD2JMiyMtLI9xuw2q3YckvUHgnIiIiMguYjAZWFyQEu4wT3uj0yMmcKJsFhIWF8dxzz/Hwww/zpz/9iV27drF161aSkpLIycnhi1/8IhdddJH/fIvFwubNm/nBD37Ac889x9NPP01GRgb/+Z//yc0338zHPvaxaa3vsssuw2w28+qrr7J161a6urpITU3lYx/7GNdccw1nnnnmuPPPPPNMtm3bxk9/+lNefPFFdu/eTWJiIpdccgk33XQTRUVFR73m2AzCYDDwhS98gdtvvx2YfKrrKLvdzttvv80999zDY489xltvvYXL5SI1NZUlS5Zw/vnn89nPfvY434kPnsE72XYfcty6u7uJiYmhq6trRm22cPDgwaMu7Cgi43m9Xpp7RsK7pl46egb4er6ZoQoHTocDZ7nv96HaWp7OWsm9i49v3YQQ9zB3vfIr8rsbADCnp42sd2f37Xprt2EtKMAYofBOREREREROfDMtgwg0K9JIOgnIgQMHZtQ3iMiHwWAwkBIdSkp0KKfaD428Cy0qHHeeZ2iIV55+m+idrXS7jv06w6YQUvoPLZTnqm/AVd9A36ubqY1M5q/FZ5Pd00S+eQhbUgT5eWlEjIy8s+bnK7wTEREREZETymzNIBTSiYgEmdFi4apPlXDlJ7209g5RPjJtdn9DF2W1rTjaBuk8QniX2N9JhMs56TFHbCavZC4Z12Zuc5FZ3UL2Y++R3dPsC++SIyjISyXCpvBOREREREQkGBTSSUCWLFly9JNE5H0xGAwkRVlJirKyxpY47lhrr5Pypl7Km30bVuwfCe86hiHfMowlN5eh2lrweMa9buxad6NcRjPVMWlUx4zf+cvc6iKjupXsxzeS091IXsgwZyR4CB+dOmuzYS3IxxgePv03LyIiIiIiMmK2ZhBak26azdQ16fbs2cP8+fODXYaIHKat10mf0012Qjgep5OhqiqcjgqcjnKcDgffdRXxRmz+cfUdPjzAI8/8kMP3CAvJyMBtKyLSlucbeafwTkREREREptFMyyC0Jp1Mq76+vmCXICKTSIi0khDp+7PRaiW0uJjQ4mL/8YveqcdW0TIy8m6AtuHDI7ep5XQ3TQjoAIYPHuQf4YX8KabQN/LusY1k9zaRbx7GnhiOLT+VSHuBb/Rdfp7COxEREREROSazNYNQSCcBiYyMDHYJInIczl+UzvmL0v1fd/QNUd48Mm32YCdldW04WvtpmSS8y+lpnLLfmuhUPEYTdVEp1EWl8PqYY8YWN+nVbeQ89tShNe+SIrDnpxJpyx/ZdTYfY1jYdN6qiIiIiIjMELM1g9B012k2U6e7Op1OrFZrsMsQkQ9IZ/8QjuZeypp6KavvpKy2lXMi+vhYtwNnhW/67HBtHYz8L+M/130LR2zmMV3D6PWQ1tvKyqZ9fPW9pwnJzMRaUODbqMJmw2Ib2bBC4Z2IiIiIyKw20zIITXeVabVr1y5KSkqCXYaIfEBiwy0sz41neW48kD3pOZ7BQYYqKxlwVHDgjWO/hsdg5GBUMm1d9eD1MlxXx3BdHb0vv+w/5620eQwlp2FLjMCel0KMPV/hnYiIiIjILDNbMwiFdCIiEhBjaCihc+cSOncuW84extHcS3lTj3/kXXlrP01DR1/zLrunacpjjxV8hHcTCwAwtHhIrW4n57GnfdNmLcPYEsIpzEshprDAN/ouPx9jaOi03aOIiIiIiEiwKKSTgGRlZQW7BBE5gcSEhbAsJ45lOXGMHXnXMzhMeXMvjqZe9h/soKy2FUdrPw1jwrsjhXS1USn+P3sNRhoiE2mITOSttEPnGFo8pNS0k/Po074NK0Jc2BNHwjt7vsI7EREREZGT3GzNIBTSSUCMRmOwSxCRk0BUaAhLs+NYmh0HKw79j7XX6RpZ866Hj1z3W2JaDjLkcOB0OHA6KnA6HLQ0d9BlPfoCsV6DkcaIRBojEtnCPH/7p954mf+4/7e+L4xGQrIysRb41rvzr3uXl6fwTkRERETkBDdbMwiFdBKQmpoaUlNTg12GiJykIq1mFmfFsjgr1teQHEvYvHnjzgmpb+cjj+zC0dZPvfPo02YPN26EnsfDcE0twzW19L74It9dexVW935yepvICxnGlhhBUW4ycYVjRt7NoIVpRUREREROZrM1g1BIJyIiJ4Sc9Hj+/M0zAOhzuqhoGdlt9mAHZTUtlLf2c/AI4V3OFNNoB00hvJuYj9dgZBtzDh1ogeSaDrIffYbs3mYKQoYpSAynKDeZ+ELfrrOWvDyFdyIiIiIi8qEweL1eb7CLmEkC3Vb3ZDMwMECYdlYUkSDrH3JR0dxHeXMPZQc72F/dgqO1n4NOeLZjE2ZHKcMHD457jSMmg/88/dpjuk5Sfwc5PU1k9zZz3lAdhVnxvmmzBTaFdyIiIiIiH7CZlkEEmhVpJJ0EpKqqirlz5wa7DBGZ5cItZhZkxrAgMwaWZvrbB4fdhIZ8HABPfz/OisqR9e7KaaodPObrtITH0RIex/aUYpa9/lvS979N7wv/PnSC0YgpO4eKwqUU5SaTMDryLjdX4Z2IiIiIyPs0WzMIhXQSkJ6enmCXICIypdAQk//PxvBwwhbMJ2zBfADO6xogsbKdsgPt7B+ZNntgEDwEtu7dpNNoPR7qWrq5evFqaIaEmk6yH3uGnJ5m8kOGsSeFU5ibTKI9/9DIO4tlWu5VRERERGSmm60ZhEI6CchMGmYqIrNLWkwYn1iSAUsy/G2Dw24qW0amzY6Gdy391B0W3kUMDxA/2D1pvzVRhxaybQuLpS0slreTiw6d0AQJ1V1kP/Ys2b0j4V1iGIW5ySQV5mO12bHk5Sq8ExERERE5zGzNILQm3TSbqWvSDQ8PExISEuwyREQ+UE6Xm6rWPt+GFXXtONvb+Xpkm3/qrNPhwFXfAMD/2s/gwXkfO67rxA12c/crd5M01IslO9u33p3dhqWgQOGdiIiIiMx6My2D0Jp0Mq127txJSUlJsMsQEflAWc0milOjKU6NhkXpk57j7u1jqLIC74tVmBq9uAOcNjtWjyWc+MEe8HoYqqpiqKqKnn/9CwBHTDrP55aQH+LCnhBGUW4SKUX5WGw2rLm5GBTeiYiIiMgMN1szCIV0IiIix8AUGUHYwoXcunAhP3B5qG7ro7ypl/11bZTVNFPW3EfNoOGI4V1mTwsmr2fSY/vic9mYt/ZQQxPE1nST/ehz5PQ2k2cZxp4QTlFOEqlFeQrvRERERERmCIV0EpCMjIyjnyQiMstYzEYKU6IoTInivIVp/vZht4fq1j7Km3spq2ujtLoZR0sf1QPgwkiOa/J17gBqo1ImtHWGRtEZGsXuJNuhxiaIru0h57FNh9a8SwhjdX4CVrsNq82GJSdH4Z2IiIiInHRmawahkE4CYtEPeSIiAQsxGbGnRGFPieJjC8aHdzVt/cBHyAv/KkMVFb717sodvt8rKqiJTp2648N0WyN51xrJu4kFACT3d/Cn3/z00AlmM5acHKw2G6YCG+G2fELtdoV3IiIiInJCm60ZhEI6CUhVVRXJycnBLkNE5KQWYjJiS470fx22aBFhixaNO+cTL5aSXVpPeUsfVQMwjDHg/rN7msY3uFwMVVQwVFHBH+ea2FSdTPZjm8jpayZvdM27nCTSi3IPhXczaIFeERERETk5zdYMQiGdiIjICeQrZxTzlTOKAXC5PdS291Pe3Mv+2jbKqpsoa/ZNmx2aJLzL7m6cst/aqBR6LBG8l5jPe4n5hw40QmRtry+8O2zNu4zCHIV3IiIiIiIfEoPX6/UGu4iZJNBtdU82/f39hIeHB7sMEREB3B6vL7xr6vGteVfVhKO5j4s4yBm123E6HLiaxo+q+/LZN9IYkXhM14kc6ie7p4nVzfu42FOLpcC31p3VZsNqt2HJzlZ4JyIiIiLTbqZlEIFmRRpJJwGpq6ujqKgo2GWIiAhgMhrIS4wgLzGCc+alAvMmnOPu7sY5suZdd3kFTV0Jx3ydXks4exPyyO5pwrnrRZzlDnrGnhASwtvzT8WalkpRThJZhbmEFtoV3omIiIjI+zJbMwiFdBKQzs7OYJcgIiLHwBQdTfiSJYQvWUKMx8srHQOUN/ewv7aV/ZVNlLX0UtVvYDCANe9ypppGOzzM72MXUWnJgAYIr+0l+/FNZPe1kB/iwhYfSlFOItlFeb7wLitL4Z2IiIiIHNVszSAU0klArFZrsEsQEZHjZDQayE4IJzshnDPnpDA68s7j8XKw0xfelda0UlbVRFlzL1X9MIDJ//oJG1KMcGOgLvLQgr79IWGUxudSGp976KQGCKvtJfuxf5Ld10x+yDD2hDAKcxLJGTvyzqy/koiIiIiIz2zNILQm3TSbqWvSeTwejMbAdxgUEZGT12h452jupbSmhfOjBwivrcRZ4WDI4cBZ7sDV0kJ9RAJfOft7x32dS/c+x+fL/o0hJARLXh5WWwGW0TXvbHYs2VkK70RERERmoZmWQWhNOplW27Zto6SkJNhliIjIh8BoNJAVH05WfDinF4+MlFu9fNw57q4u+reXsuD1Jir6oX/MyLtAjY7Q8w4P4ywrw1lW5vsa+P6ar5I41Et+yLB/2mxOUQ5h9kKFdyIiIiIz3GzNIPQ3XBERETlmppgYlp1ZwsYzwev10tA1SHlzL/urm9lf1URZUy+V/dB3hPBuqmm0XZZIdiUXjm+sB2tt/8i02RbyLC7scVaKcpLILc4hzD6y5p3COxERERE5SelvshKQ1NTUYJcgIiInKIPBQHpsGOmxYZxWmMTomnder5fG7kHKm8aHdxX94PQayAoDeif2VxOdMul1nGYL5XFZlMdlHWqsB2ttH5mPPU9OXwv5IcN8NM5Fjj0LS0EBVpvNt+ad6dhH+omIiIhIcMzWDEIhnQQkIiIi2CWIiMhJxmAwkBYTRlpMGB85LLxr6xsiMXIDro4OhioqcDocOB2+3+v6jm1NV6fZQkVsJhWxmbwIzH/5bsKfeexQHRYLlvx8jAU22nOLyC/OIdxuJyQrS+GdiIiIyAlotmYQCukkIBUVFSQmJga7DBERmQEMBgOJkb4du8xxcZiXLyd8+aE17z7Z3EP8O3WUVjbiaO6hog+6j+GvLFm9zeO+9g4N4Swtpbyhh2+GrCOkto+sx54nu6/10Jp32YnkF2UTUajwTkRERCTYZmsGoZBORERETii25ChsZ88F5gK+kXctvU4cTb2UVjezv6KRsinCu+T+DsJdzkn7rYn2TZsYNoVQGZNBZUwGL48ePAjm2n6yHv8X2X0t5Ftc2OKsFGUlUjAnxxfeZWYqvBMRERGRD4zB6/V6g13ETBLotronm56eHqKiooJdhoiIiJ/X66W1d4jy5h5Kq5opq2wktKeTq/re802frajA3dbmP/+Pcz/G/xWecczXMbtdZPa28Iut9xOXnYHVZhv55VvzTuGdiIiIyPSaaRlEoFmRRtJJQBobG2fUN4iIiJz8DAYDSVFWkqKsrClIZHTkHXzKf46rvX1kvTsHXe+5wX3s13GZzLSGxRDW141zXzfOffvGHS9Lzmdn4SrfyLvsRGxzcogstBOSkaHwTkREROQ4zNYMQiGdBKS9vT3YJYiIiBwzc3w85pUriVi5kt8Bbb1Oypt72V/VRGlFA+VNvVT0eekg5Ij9ZPc0YZji2I7YPP6cuNT3xUEw1fWR8di/yO5vJT9kCFtcKIXZiRQWZ/vCu8xMDEbjtN6niIiIyEwyWzMIhXQSkJCQI//wIiIicjJIiLSSEGllVX4CnDnX397eN4SjuZfSykbfmndN3VT2eWnDAvhCuqnURqWM+9ptNFEbnUptdCqvjTYeAGNtHxmPvzCyYcUQtjgrxdmJzJ2bi9Vu8428U3gnIiIiMmszCK1JN81m6pp0IiIis1FH3xCOll7CB/vI7azHWeGbOjtU7vvd3dnJ10+/lsqYjOPqP6+rnt+8dCcAhtBQrPn5WO02LDYblvwCQkenzSq8ExERETlpaU06mVZbtmyhpKQk2GWIiIh8qOIiLKyIiAfigSwiVh36f6HX68Xd3s7pT7xDcn03jj4vrSMj7wI1doSed3CQwb17Gdy7F4DfLPwkO5NqyOlvJT9kGFuchcKsBAqLc4guLiQkPV3hnYiIiMxIszWDUEgnIiIichwMBgPmhAR++JVDO8Z2DQxT3tTD/srGkTXveqjo9dIyRXiX0904Zf9V0WkcjErmYFQyb4w2HgBjXR+pT7xATl8reSFD2OOsFGYnUFiUTYzCOxEREZGTlkI6CUhycnKwSxARETnhxYSFsDw3nuW58XDGoTXvugeHKW/sYX9VI6WOQ+GdLTkSU1MM7q6ucf14gZroFCbjMRipj0yiPjKJN0cb68BQ20fqE/8mu7+Vdd4WLkjGP3XWarMTkp6m8E5EREROCrM1g1BIJwGJiYkJdgkiIiInrejQEJblxrMsNx5OPxTeeb2fAMDd2orT4cDpqMDpcNBYWUePJeKYruE1GGmITKQhMpHM8ka63nx63HFDeDjW/HzetS0jPisNe1E2ccWFCu9ERETkhDNbMwiFdBKQ8vLyWTkfXERE5INkMBgAMCclYU5KImL1agASXB4er++irKLBN222sRtHr5dGrAH1m9MzcRqtt7+fwT17+Gna+TTVxWOo7SXlSd/Iu3yzb7fZwqx4iotziCu2Y05TeCciIiLBMVszCIV0IiIiIicYi9nIkuw4lmTHjRt51+d0+da8q2ig1FHvnzbbcFh4l93ddHiXAAyaLDRFxAO+kXeNEQk0RiSwdfSEOqCuj+QnXySnr5X8kCFssaPhXTbxxXbM6en+cFFEREREpo/B6/V6g13ETBLotronm66urlk73FRERORE1z80Pry73FyPqcKBs8I3fdbT3Q1AeUwG3zz92uO+zjVv/4OPtezxrXNXUIDVZsNqt2G12Xwj7xTeiYiIyDSYaRlEoFmRRtJJQFpbW2fUN4iIiMhMEm4xsygrjkVZcbBu7rhjXq8XV3MLTkc5NbtryKgZpN5rxXscgVpKXzue/n4Gd+9mcPduf7vbYOTHa75CTojLt9tsZjxFxdkkzrErvBMREZFjNlszCIV0EpDW1lYKCgqCXYaIiIgcI4PBQEhKMiEpyaxfu5b1wMCQm4qWHkrLGyh1HMTR2I2j18NBb+gRw7ucnsmn0TaEx7M1qcg3bdbLyLTZXhKffImc/lbyQoawxVoozIyneE4OSXPsmFNTFd6JiIjIpGZrBqGQTgJi1MLRIiIiM0aYxcT8jFjmZ8TCujn+9sFhNxXNvZQ6DlJaXj8mvLMS7nIS5+yZtL/a6JRJ21vDY2kNj2UHjAnvekh48iVy+lvIMw9REGvl3IIYUoryfdNmFd6JiIjMerM1g9CadNNspq5JJyIiIrPX4LCbhs4BMj19OMsdOB3lDFVUjPzZwcPpJfx57kePu//7/3UHmX2tABgjI7EWFGCxFWDIt+PJKyB5rh1zSorCOxERETkpBZoVKaSbZjM1pNu2bRsrVqwIdhkiIiJygvF6vWx7u4IX366mrKGbil43dd5QPIbA/gXc7HbxxNPfx+T1TDi2K9HG9065irjBbt9us+YhCuIsFGXGU1yURcq8QoV3IiIiM9BMyyC0cYRMK49n4l+cRURERAwGAyuX2li51OZvc7rcVLX0UVp2gFJHPeVjwjv3YeFdVm/zpAEdQM3INNqO0Gg6QqPZBeABaoHaHuI2vkR2fxt55iFssSEUZsYzpzib1HmFmJOTFd6JiIicpGZrBqGQTgKSmJgY7BJERETkJGE1myhOi6Y4bS6cdmi32SGXh6rWXvaXHWBfeT3ljV2kGLyELlrIkKMCT1/fuH5qo1KPeJ3R8O4dGBPedROz8WVy+1r4RfcbRNgLsNpsWApsWO02hXciIiIngdmaQSikk4DM1m8QERERmT4Ws5Gi1GiKUudy/kfmjjnyVbxeL67GRpwOh2+tuwoH9b15x3WdLmskja4hhne9Teeut8cdM0ZF4ZhbQkVGkW+32eIs0ucWEpKi8E5EROREMVszCIV0EpDS0lJKSkqCXYaIiIjMUAaDgZC0NELS0og89VQA/s/toaa1j33769jvqKesoYuKHje13lCGDaYj9pfd0zRpu6enh5d6rTziyfOPvIt6+hVy+lvJMw1hjwnBnhnHnKIs0ucpvBMREQmG2ZpBKKQTERERkRNSiMmILSUKW8pcNowZeedye6hu66O0tI79joOU1XdR0euhZkx4l9PTOGW/NYdNo+2xRLDHEsEeGDdtNvKZV8npbyXf5MQWM7rmXRYZ8woxJycpvBMREZFppd1dp9lM3d21vb2d+Pj4YJchIiIiMiWX20NNWx/7S2tJ7m4mr6nKN33W4cBZUYG3vx+Ay87+Pk0Rx/f3mvmtlfz8td9gjI7GarON/BpZ985mw5yk8E5EROT9mmkZhHZ3lWnV1dU1o75BREREZOYxm4wUJEdRkDwPmAec7j/m9XhwNTQwUF7O8tdbKe/ppdoTypDx2P46PDqN1tPdzcDOnQzs3Ok/9qtFF1Idn0ne6Mi7DN/Iu6x5NkK0YYWIiEjAZmsGoZBOAtLc3Exe3vEt3iwiIiISbAajkZCMDEIyMrh3na/N7fFS19ZLaWkdpeUHKW/owtHjptoTinOK8C77CNNoS+NzqIpJZx+Am5Fps52EP7OZnP42f3hnz4hjTnEmOfMLNfJORERkErM1g1BIJyIiIiKzksloIDcpitykuaw/9dCadx6PlwPtfezbV0tp+QH/hhXVnlBynJ2T9uU2GKmLTJ70WH9IGPtiMg8L77oIe2azf8OKs2JdnF6UhNVuw1pQgCkxUeGdiIjILKM16abZTF2TTkRERGS283i8eDwePI0NOB0OhhwOnOW+Ne8cjd38x6nXHHffX9r7LBeVvej/2hQTg8XuW/OuNK2IDFs2uQsLCVF4JyIictIJNCtSSDfNZmpIt3PnTpYuXRrsMkREREROSL0DQ7yxw8H+spGRd90uqrxhDBhDAnr9D7c8wJqG9ya0e4HPfuzH9FrCCXU5yfZPmzVjT49jTlEWeQvtCu9ERGRGmWkZhDaOkGk1PDwc7BJERERETliRYRbOOWUu55xyaNqs1+vlYEc/pXtrfNNm6zup6HZT5Qml32QZ9/rs7qZJ++2wRtFrCQdg0GylLDqdMuCfLkamzXZgfe41sgdayTOOrHmXHsucoizyFxViSUz8gO5YRETkgzNbMwiFdBKQ2birioiIiMj7YTAYyIyPIPOUuZx1WHjX0NnPvr01lJYdwFHfSdFZa3CXO3BWVuIdHPSfWxOVctTrOM0WyqPSKQeeHxfebeb7pU+wLtbjnzprtdmx2gowJyRM/w2LiIhMk9maQSikk4CkpqYGuwQRERGRGcFgMJAeF0H62rmcuXY0vPssAF63m+GDB3E6KnA6HLgcnUS4nfSZrMd8HafZQmxrPf2OA/Rv3z7u2FBCMvcs+ywFMSEUpsdQXJhFwaIirIkK70REJPhmawahkE4CsnfvXkpKSoJdhoiIiMiMZjCZsGRnY8nOJuqM07kU+KLXS1NnP/v2VlNadnBk2qyLSk8ovUcJ77J7midtr3Jb+Vd4Lv8aBmqAmg5CNm0ma6CdfOMgBTFm37TZwkwKFhURqvBOREQ+RLM1g1BIJyIiIiJyAjMYDKTGRZC6dh6nr53nb/d6vTRPCO+GqfKE0m0KJaWvnVD30KR91kZPnEY7bAqhMjKFSuCFScK7XOPohhUxrFuUQ9ycQsxxcR/MTYuIiMxCCukkIAUFBcEuQURERETGMBgMpMRFkLJ2HusOC+9augdocNSS+Yl7cJY7cFb4ps8OVVTgHRqiNoC17kaNDe9eHAnv/vo/3yDO2YspIQFrQYFvvTu7DUN+AdaCAsI08k5ERN6H2ZpBKKSTgPT19ZGo3cFERERETngGg4HkmHCSlxUDxUSdeab/mNftZriujnVvlUFFh2/arNtKlzks4P6jnX3EOnsBcLe10d/WRv/WrQC8njafO1ZcQsZAh2/abLR5ZM27TOyLChXeiYhIQGZrBqGQTgLS2NhITk5OsMsQERERkffBYDJhyc3l47m5fHxMe2v3APveraS07ABl9R04ulxUe0LpmCS8y+5pwjBF/zXRqbiMZmoikqgBXvJPm23H9M/XyRxoJ28kvCvKiKXInol9kZ1whXciIjLGbM0gFNKJiIiIiMxyidFhnLp2HqeOmTYL0NbVz749lZSWH6TsYAcVXS6K6MIQEoJ3eHhCP0eaRus2mvzh3cvDQDVQ3Ybpn81kDHZQZOjjJ0kdWG0j02dtNkyxsdN5myIiIic0g9fr9Qa7iJmku7ubmJgYurq6iI6ODnY508bj8WA0GoNdhoiIiIicALwuF0N1db517hwOnA7fmndfyfg4VdFpx9VnftdB7n3pl+PaTEmJWAtslOUtpDU5m+LCDIoWFRKeGD8dtyEiIieomZZBBJoVaSSdBGT37t0sXrw42GWIiIiIyAnAYDZjzcvDmpcHZ5/tb3+su5+9e6rYX1ZH2cFOHF3DVLmttIVEHLXP7O6mCW3ullb6W1p5dDCTTQOFUNOG8Z+vke7sJM8wsuZdWgzFhRkULy4iPEG7zYqIzASzNYNQSCcBcTqdwS5BRERERE5wcdHhrF0zj7Vrxk+b7ewZYO+7lZTur6N8ZM27KreF1pBI/zk5PY1T9jt2Gq3HaOJAWAIHgM1DjKx514bx+ddIG+wkzzDgW/MuLYaiwkzmLC5UeCcicpKZrRmEQjoJSKzWAxERERGR4xQbFcaaNfNYc1h419UzwL49FZTuP0BR6mKibVac5Q6c1dUwsuadlyOvdTfKYzByMCyeg8Br/vCulZI/v8JtlU9jtduw2GxYC2xY7SNr3s2g5WlERGaS2ZpBKKSTgGRlZQW7BBERERGZYWKiwli1ej6rVs8f1+51uRiqrcVZ7qCzzMH8un4qh9w0W6KO+RrZPU24WlpwtbTQ98ab4479etUX6YxLoiBqZNqsPYM5SwqJ1Mg7EZGgmq0ZhEI6Cci7775LSUlJsMsQERERkVnAYDZjzc/Hmp9P9Lnn8PeR9p7eAUrfrWDf/gOUHWzH0elb867pCOHdkabRbo/OptkaxxtjRt4Z/tVMirObfMMABVEm7P7wroiohNjpvE0REZnCbM0gFNKJiIiIiMhJISoyjBWr57PisJF3Pb0DlO6poHRfHWUHO0Y2rLDQaImedEMKgH6zlebwiSPmvAYjjaGxNBI7LrzjhVZSR9e8izJxdl40Kxbn+6bNRh37CD8REZHDKaSTgOTl5QW7BBERERGRSUVFhrFi1XxWrBof3vX2DmC4vBB3ZSVOh2PkVzlD1TXURSYf83VGw7s3hyD6H4+R/P/eAMCckoLV5lvnzmIroDoxh/wFdmISNW1WROR4zNYMQiGdBGRoaCjYJYiIiIiIHJPIyDAotPt+ca6/3Ts8TGxpBT/dUUnZgZGRdy4LDZYovAZjQH1n9xwaoedqasLV1ETf66/jMhj5zIb/wvXPFpKd3eQZ+imINFGY7ps2W7y4kFhNmxUROaLZmkEopJOAHDx4kMzMzGCXISIiIiLyvhlCQkhbUMzFC4rHtff3DrD/XQf79teNhHdDVLks1FuiJ4R3Y0O6sRoiEnAZfT9mNVujaSaaLUNANVDdAv9qIcnZ7Z82W5gaTZE9nbmLi4hNjJ3+mxUROQnN1gxCIZ2IiIiIiAgQHhnGktULWLJ6wbj2gb6R8K60jrID7RzoHCQ5M4XhmkFwucadWxOdetTrtFijaSGarU7GrXmXONTDrf1vszw3Hqt9ZPpsQQGmyMhpvEsRETlRKaSTgCxdujTYJYiIiIiIBEVYRBiLVy1g8aqx4d0VeIeGGKqp8a11V+5b866rMwyj14MnwGmzY7Vaogh95XXaX24b125OS6PfPpe/pq3EnhrNHHs6cxYVEp8U+/5uTETkBDVbMwiFdBKQffv2sXDhwmCXISIiIiJywjBYLFjtdqx2O3zU13Y98I3+QfbvLqe0tNY3bbbTN232gCUaj9E0ZX8W9zApfe0T2l0NDexxRfK/8R8dGXnXAi+0ED/USx4DFEQZKUyNptiewZxFdhIU3onISW62ZhAK6SQgAwMDwS5BREREROSkEBoeyqJVC1i06rBps/2DlL9bTum+WsoOtOPoHKLSZeGgJQa30URmTzMmvJP2Odk02nZLJO1EssM/bbYZXmgmbqjv0IYVqVEU2dMpWTkHa3TUB3C3IiLTb7ZmEArpJCBRUfofuoiIiIjI+xEWHsrCkgUsLBkf3g32D1K+u5zOKkice7V/6uxQbS243QDURqUEfJ0OSwQdRLBzJLwzVDfx2DVXEJWShMVWgNVmx2qzYbXbCMnLw6w170TkBDNbMwiFdBKQvLy8YJcgIiIiIjIjhYaHsmDVAjhs5J1naIihqmqcjnJW7m5iqK2BymELB6wx/h1kA5HS306oe5jh+nqG6+vpe3Wz/9g/s1fw4IIN5NJPQaTx0Jp3C20kJ8dN2z2KiByL2ZpBKKSTgOzevZuSkpJglyEiIiIiMmsYLRZCiwoJLSrk8vPg8pF258Agjt2+abP7D7RR0TlE5XAIdZZYXKaJP+LldDdNeY3aqBQ6Q8LZRTi7Dps2GzPcTy792CKN2FNjKLalM2eRjeSkGAwGwwdyzyIiMHszCIV0IiIiIiIiJxFrWCjzShYw77Bps0P9Azj2ONi3t5ayA604OnwbVhR010/Z15Gm0XaFhPMO4bzjD++a4N9NRA8PkEc/i6K9XLcwxjd1tiAfY3j4NN2hiMjspJBOApKTkxPsEkRERERE5Ags4WHMXbmAuSsPmzbrvIihqqt8a91VjKx3V+5gqK6O2kk2pDia7pAw3iEMT10FDX+7w98ekpmJtaAAq93G/hQ7Q6kZzF1YQGpyrEbeicgxma0ZhEI6CYjH4wl2CSIiIiIichyMViuhxcWEFhePa/c4nfz5nf2U7vVNm3V0OKkatlBrjWXIFHLUfrMPm0Y7fOAAwwcO0PvKK9y//BJezTTDv5uIdA36p83aUqIotqUzd6GNtGRNmxWRyc3WDEIhnQSkrq6O9PT0YJchIiIiIiLTxGi1UrxyIcUrF45rH+4foPLdckr31bD/QPtIeBdCrSUWp9niPy+np3HKvsdOo+01h7KHUPYMMm7abITLSR59vg0rRsK7OQsLSNfIO5FZb7ZmEArpRERERERExC8kPIyikoUUlUwM76r3lLN3Xw1ltW2UFCQS4slmuLYOvF7/eS6DkQNRSUe9Tp/Zyh6sE8K79a3v8YOQat9ad7YCLDYb1vx8jGFh03ynIiInFoV0EpDFixcHuwQREREREQmikPAw7CsXYj9s5J1ncJChykqcDgdORwX1FbXkD7RRY40bN/IuUKlNNfSWv0TvSy8dajQYCMnK4u75n4DomJGRd2nMWVBAZopG3onMNLM1g1BIJwFxOBzMmzcv2GWIiIiIiMgJxhgaSujcuYTOnQtAMvA84Orvp3rPyLTZWt+ad5XDIdRY4xg0W6fsb9JptF4vQ7W1vLggib7BsHEj78LcQ+TST0GEAXtKFEUFacwdCe+MRoV3Iiej2ZpBKKSTgPT29ga7BBEREREROYmYw8OxrVyEbeUiPj6m3dXfT/W75ezfV8P+urHhXSwD5lCye5om7a8tNJq+kIlTXgdMFvZhYd/YabMvNhHqHiaHfgoiwJ4SxTmLs5mzpAhjaOgHcr8iMn1mawahkE4CEhEREewSRERERERkBjCHh2MrWYStZBHnjWl3j4y8i1v1HVwVDpzlDpwVFQwfOABe77jNKAIxaAphPzHsHwnvLI/+DGP9LkKyMrHa7P4176w2G81xaWQmx2jkncgJYrZmEAavd8wKn/K+dXd3ExMTQ1dXF9HR0cEuZ9oMDQ1hsRz7ehIiIiIiIiLvh6e/H2dlFZV7yvlXeTuOdieVw2aqrXH0TzKybiq/fulObF31E9r7zFY+/fGfYvUMk+3txzYybba4II3i+fnkpMZiUngn8qGaaRlEoFmRRtJJQN5++21KSkqCXYaIiIiIiMwyxvBwwubPY978eYxdocrd10fdew727a2mrK51JLwLodoaN2FarMHrIbO3ZdL+60ZG6DmNIZQTQ/kgPFcD1DTCi41YPC5yvP3kR0Bhsm/NuzkL8slVeCfygZmtGYRCOhERERERETnpmCIiyF25iNyVi/jomHZ3Xx8H9pSzb1+NP7zr6hsk1D08aT81R5lGO2Q0U0405YPwz1qgthFeaiTE4yLb289/pbRTXJyL1W7DkpuL0Tr1phgiIkeikE4CkpmZGewSREREREREjsoUEUFOyWJyShazfky7p+9KnJVVOB0OnI5ynA4HQ44KGiISj+s6w0YzFUTj+fMvqB/q8zUajViys7HabbTnFfPP0FyKClKZMz+fvNQYzCbj+79BkVlgtmYQCukkICaTKdgliIiIiIiIHDdjRARhC+YTtmD+uPb/6u3lG3tHps3WtlLe4aTK6Vvzrtt65MXrY5y9xI4GdAAeD0PV1QxVV/NWejP3rswdM/LOTRb9FISDLTmK4oJU5szPIy81lhCFdyLjzNYMQiGdBKSmpobU1NRglyEiIiIiIjKtTJGRZK1cTNbKxZwzpt3d20fDvnL2vVfN/tpWHO2DVA6ZqbHG0WWNBCC7p2nKfg/fjXbYaKKSKCoH4V9jps2a/eGdAXtyJEX5qRTPz6MwPU67zcqsNVszCIV0IiIiIiIiIocxRUaQuWIxmSsWc/aYdndvH417y9j3XjWuKBMRxlNxOhy46hvGvf7wkG4qLqOJKqKoGoQXRsI7679refq93xNWUIDVbsNqs2Gx2bDm5mKYQTteish4Bq/X6w12ETNJoNvqnmwGBgYICwt8e3MREREREZHZxN3bx1BlBc5yB06Hgz8egC2uSGqscXSEHtvPhrbOA/z65bsmHjCZeHbpeWxMW0p+OP6Rd3Pn5ZGXFoPVPDunCMrMM9MyiECzIo2kk4BUV1czZ86cYJchIiIiIiJyQjJFRhC2cCFhCxcC8L2RdndvL017yyjdW83+2jYcbYNUDpmoPkJ4N+U0WrebsmEr1cZIqgfhxdFpsy83YvR6yPQOUBAO9uQIivNTKZ6bS35aLKEhCu/k5DJbMwiFdBKQ7u7uYJcgIiIiIiJy0jFFRpK+cinpK5dyxph2d28vzXvLKd1bxf6aMWveWWLJ7g58rbtRHoORWkMEtYPw0mHhXcZIeFeSEcnl6+xYcnI0bVZOaLM1g1BIJwEJDQ0NdgkiIiIiIiIzhikykrSVS0hbuYTTx7S7e3sZLJ/DcMXpOB0VOB2+6bOuxka8QE10YGvdjfIYjNQZIqgbBOdr77LuF98GsxlLbg7WAt96d1a7DUdsJtb0NAo08k5OALM1g9CadNNspq5J53K5MJuV6YqIiIiIiASDu6eHQYeD7e9UUVbTQvnotFlLHK3hsQH18bn9/+ayfc9Neuym1VewI6UYo9dDundwZM27CIryUpgzNxdbWixhFoV38uGYaRmE1qSTabVjxw5KSkqCXYaIiIiIiMisZIqKImLJEk5bsoTTxrS7e3po2+fbbbastpXytgGqnL4171rC48b1MeVad0BNVCrgG3l3wBDOgUF4tdbrmzb7SiMGr5e00TXvkiIoyk9lzpwcbOkxhFsULcj0mq0ZhL6TRERERERERE5SpqgoklcuI3nlsvHhXXc3baXl7N9bzf6aFhytA8w19U3aR5/ZetTReF6DgXpDOPWDsLnOC3UN8EoDBq+XS91VfCPP6Js+a7dhyc7GEBIyfTcpMksopJOApKenB7sEERERERERCZApOtof3p3qb70Wd3f3yFp35QxVVOAsd9BwoJ2UvnaaIuKP+Tpeg4HI93bR+vQbhxpDQrDm5mKxFXBnfAlR8TEU56dQXJyNPT2WSKuiCDmy2ZpB6DtDAjJbF20UERERERGZSUzR0YQvXUL40iX+tmzgja4uOvY7KH1vdM27Q9NmGyMSjthndnfj+IbhYZzl5fQ6Knlyw+m4+zz+kXcAKd4B8sNGps3mpTBnTjb2tBiiQjX6TnxmawahkE4CUllZSVJSUrDLEBERERERkQ+AKSaGxJXLOGXlMk4Z0+7u6qJjfzn736v2h3eVTiPV1jiawuPxGoxTrnVXH5mI2zhxs4kmQxhNg/Bm3Uh49+poeDdIXpiXwqQICvNSOKOkkPSEyA/iduUEN1szCIV0IiIiIiIiIjIpX3i3nMSVy1k7pt3d1UXnfgfl71WRG/Up3/RZRwWulhb/ObVRKcd0rSZDKE2D8NZIeHfLL+7gIxFOrLaRte4KCrDa7IRkZdLjgpgwjbyTmUUhnQRk/vz5wS5BREREREREThCmmBgSVi4jYeWyce3uzk6cI2vdzS07yCXN+6h0mqixxtEQkYDHYAz4GtkdB3EebMdZVjauvTUqkS+eeSOJXicFYR5sSREU56VQXJRFYVosMeEK7052szWDUEgnATlw4ABFRUXBLkNEREREREROYKbYWMKXLSN8mW/a7OjUWXdnJ91lDva/V0VZdTOOtgEqnEZqLHHURyTgOWxarNU1REp/x6TXqAnzbXDRarDSOghbDps2m+B1UhDmxZYY7lvzrjibwrRoYsMtH9RtyzSbrRmEQjoJSGdnZ7BLEBERERERkZOUKTaWuJXLWbVyOavGtLs6Ougtc1C2t4r91S2Ut/VTOWgEpxMj3kn7Oto02jaDlbZB2HrAAwcaYPOh8C4/zMsdK6LJmmcnJCsLg2nimnkSfLM1g1BIJwGxWPQvDiIiIiIiIjK9zHFxxJasYGXJClaOaXd1dDBUcQ5OhwNnucP3e0UF7tbWY17rblSbwUrHgIee71xHhceFwWLBkp/vW/POZqM5PZ+tpgSKirIoSoshPkI/BwfLbM0gDF6vd/JoWo5Ld3c3MTExdHV1ER0dHexypo3X68VgMAS7DBEREREREZnFfCPvynGMjrxr9Y28q7bGcTAyadLdZMdK723hDy/8v0mP/TNnJXct+az/61jvkG/Nu8QIivOSKS7MpDAthoRI67Tek0w00zKIQLMijaSTgGzdupWSkpJglyEiIiIiIiKzmG/k3UqWl6xk+Zh2V0cHfaPhXVWzL7wbWfPuQFQSLqMv/sjpaZqy75rDRuh1GizsGIQdB9zjps3GeofID/ViTwqnMDeZOUWZ2FNjSIpSeDddZmsGoZBORERERERERE5q5rg4YkpWsqxkJWP3m3V1dNC7v4yKvVWUVbcQGtKCKT4ed3v7hD5qolIDulanwcJOJ+wcDe9eayDO1c/Thm2+qbN2G9aCAkIyM7XmnRwThXQSkNTUwB5WIiIiIiIiIicKc1wcsatKWLaqZHx4197uW+fO4WBoZN27bFc3HV311EUm4zIdW1yS3VFP9+sbx7UZrFYsBfk8ZlvHa2GZ2JLCKc5Npqgwk6LUaJKirDNqSud0mq0ZhEI6CUhkZGSwSxARERERERGZFub4eMwrVxKx8tB2FXfhC+/69pdTua+Ssupmylv6qRg0UhMaR11kMsOmkEn7y+5pnNDmdTpx7t3Hrojl7MqwsmvMyDuAKO8w+aEebIljwru0aJIV3s3aDEIhnQTE4XCQkJAQ7DJEREREREREPjDm+HhiVpewZHUJS8a0u9ra6C93ULm3kv3VzTha+nzhnTWOuqgUsrunXutuqt1oewwhvOOEdw664WADvH4ovMsL9WJPDGPtvAw+uW4eBqNxOm/zhDdbMwiFdCIiIiIiIiIiR2BOSCA6IYHFq0pYPKbd1dZGf1k5/QvOxFuVw1C5bwqtu7MTgGGDiYORScd0rR5DCLudsPugm843H2PudZdizc/Hardhsdl8697ZbFSZo4kKs5AWEzrrR97NFArpJCBz5swJdgkiIiIiIiIiJxRzQgLRqxOIXr3K3+b1enG3teF0VNBb5uD28gocrf1UDvhG3tVGpeA0WwLqP7unCe/gIIN79zK4d++4Y9euu4bS2CzCva6RabNhFOUmU2zLoDAtmvSTOLybrRmEQjoJSFNTE9HR0cEuQ0REREREROSEZjAYMCcmYk5MJGJVCZ8daR8N7wbKy6neW8X+6ibKW/qpHDBQE+oL7wbN1nF95XRPXOsOwAvURPhG6PUbzOxxwp7Dps2Ge13kja55l5NEkT2dwtRo0mPCMBpP7PButmYQCukkIO2TbE8tIiIiIiIiIoEZDe+iEhNZsHo1C0bavV4v7tZWBhwOavZWsb+qifLWPioHDOR310/aV2tYDAMhoUe8Xr/BzHtOeO+giycPNsAbvvAuDDffTOrlkmXpWG12QtLTTrg172ZrBqGQTgJiNuujIiIiIiIiIjLdDAYD5qQkopKSmL96NfNH2n3h3VdxOhw4yx04Kyp8f3Y4aDXGEjY8eNSgbjIDmPA+9zQH7n/bd/3wcN+adzYbVruNXwxlkZ6eSLE9ncKUaDLjPvyRd7M1gzB4vV5vsIuYSbq7u4mJiaGrq2tWDs0UERERERERkQ+O1+vF1dKC0+Ggbl8lpVXNOFp6qRgwUGONpyY6hf6QsCP2ce+LvyC/u2FCe29IKJ8577ZxbVbc5Fk92BPCKMpJotCWTlFqFJlx4ZhO8GmzJ4pAs6LZGU3KMdu6dSsrV64MdhkiIiIiIiIis5rBYCAkOZmQ5GTmrFnD6BYL/vCuvJwDpVWUVjVR3tJHxYCBWmscNdGp9IWEYfR6yOhtmbTv2qiUCW1OTJQ6TZTWu9hY3wBv+sI9K25yrR5sCWEUj4R3q/ISiAkPed/3OFszCIV0EhANuBQRERERERE5cY0N74rXrqV4pN3r9eJqbsHpKOdgaSWVlY3ELlqA0+HA09Mzro+aqNSAr+fExH6nif31Lp4ZCe/urt/EisxorAUFWO02rDYb5rQ0vF7fZhdHG3nn9njZWtXOm7WDuBPaWJkXP6tG6ymkk4AkJSUFuwQREREREREROUYGg4GQlGRCUpIpWruWopH2seHdkMOB01FBQV03HzuwnZrQeGqiU+m1hB/TtVLffoOurf3j2ozh4Rycs5yrsj5OjsWNPTGMwuwkigrSKEyNIic+HLPJyKY9Ddy6cS8NXYMA/Gr7W6TFhPKjDXNZPz9tOt6KE57WpJtmM3VNuo6ODuLi4oJdhoiIiIiIiIh8gHzhXTOD5eU07q+ktLKJ8uaRNe9C46mNSqXbGjHhdXGD3fx1048n7fPV9EXcvvKLkx4LwUOC2UujyzTh2OgYuvsuWXpSB3Vak06mVVlZGSUlJcEuQ0REREREREQ+QL6RdymEpKQQdcop2Efa/eFdWTmN+yvYX9XsC+/6DdSExRPj7J2yz5roiWvdjRrGSKNr8mNefEHdrRv3cvbc1Bk/9VUhnYiIiIiIiIiIHNG48O7Uw8K7piacjgqcZ6bjdDgYKnfgrKjA0+sL7ibbkCJQXqCha5CtVe2sLkh4/zdyAlNIJwEpKio6+kkngIGBAW6//Xb+/ve/U1tbS3x8POvXr+cnP/kJGRkZx9TXunXreOWVV6Y8/txzz7F+/fr3W7KIiIiIiIjISctgMBCSmkpIaiqRp6z1t/vDu3IHt+6voLRqD46mPir6oSYsgdqoZDpCA18mrLln8IMo/4SikE4C0t7eTmxsbLDLOKLBwUHOOOMM3nrrLdLS0rjggguorq7mgQce4Omnn+att94iPz//mPu98MILiYyMnNB+rKGfiIiIiIiIyGwxLrw79RQKRtq9Xi+uxkacjgqa9lewsaKbu7xH/1k9OSr0gy34BKCQTgLS0tJyXAHXh+m2227jrbfeYvXq1Tz//PP+YO3OO+/k29/+Npdffjkvv/zyMff73//93+Tm5k5vsSIiIiIiIiKzkMFgICQtjZC0NCJPPYX/9Hj53//3Io1dg0y2s6kBSI0JZWVe/Idd6ofOGOwC5ORgNJ7YH5WhoSHuueceAO69995xI9+uu+46Fi5cyCuvvMKOHTuCVaKIiIiIiIiIHMZkNPCjDXOBQ7u5jhr9+kcb5s74TSNAIZ0EaMWKFQD84Q9/wGAwcPXVV0957mc+8xkMBgMbN278sMrj9ddfp6uri4KCApYsWTLh+Kc//WmAD7UmERERERERETm69fPTuO+SpaTGjJ/SmhoTyn2XLGX9/LQgVfbh0nRXCcj27dtZvnw5a9asAWDr1q2Tnvfiiy/yyCOPsH79ejZs2PCh1ffOO+8AsHTp0kmPj7bv3r37mPv+wx/+QFtbG0ajkcLCQj7xiU+QnZ19/MWKiIiIiIiIyDjr56dx9txUtla1s+WdvZQsmsvKvPhZMYJulEbSSUDcbjcAxcXFxMfHs3v3bgYGBsad43K5+OY3v0lISAh33XXXlH2tW7cOg8FwTL8efPDBI9ZXW1sLQGZm5qTHR9tramoCvONDbrvtNu677z7uvfderrnmGmw2Gz/5yU+OuR8RERERERERmZrJaGB1QQKrMyysLkiYVQEdaCSdBCghIQHwLfC4atUqnn32WXbu3MnatYe2V77nnnt47733uP766ykqKpqyr/Xr1x/zRgw2m+2Ix3t7ewEIDw+f9HhERAQAPT09AV/zIx/5CFdccQVr1qwhLS2Nuro6HnnkEW677TZuvvlmoqOjueaaawLuT0RERERERESObjSDmG0U0klAkpOT/X9es2YNzz77LFu2bPGHdM3Nzdxyyy2kpqZy8803H7GvG2+88QOtdbr8+Mc/Hvd1YWEh3//+91m+fDnnnnsut9xyC1/96lcJCwsLUoUiIiIiIiIiM8/YDGI20XRXCci+ffv8fx5dl27Lli3+thtvvJGuri7uuOMOoqKiPvT6Rndz7e/vn/R4X18fwLTUds4557B8+XI6OzvHvQciIiIiIiIi8v6NzSBmE42kkyNye7xsrWrnzTonnsQ2VubFs3LlSsxmsz+g2rp1Kw8++CCrVq3i0ksvPWqfd9xxB6WlpcdUxxVXXMEpp5wy5fHRjRwOHDgw6fHR9pycnGO67lTsdjvbt2+noaFhWvoTERERERERkdlNIZ1MadOeBm7duJeGrkEAfrX9LdJiQvnRhrksXLiQnTt30tDQwDe+8Q3f8V/9CoPh6Is6btq0iVdeeeWYalm3bt0RQ7pFixYBsHPnzkmPj7YvXLjwmK47lY6ODuDQWnciIiIiIiIiMj3sdnuwSwgKhXQyqU17Grj6oZ14D2tv7Brk6od2sqBoETt37uTqq69m27ZtXH755axYsSKgvl9++eVpr3ft2rXExMRQUVHBrl27WLx48bjjjzzyCAAbNmx439dqaWlh8+bNACxduvR99yciIiIiIiIih3R3dxMfHx/sMj50WpNOJnB7vNy6ce+EgA7AO/JrrzsVgCeffJKYmBhuv/32D7PECSwWi39E39e//nX/GnQAd955J7t37+a0005j2bJl41536aWXUlxczOOPPz6u/Y033uCJJ57A7XaPa6+uruaTn/wkfX19nH/++WRmZn5AdyQiIiIiIiIyOzU1NQW7hKDQSLr3yel04nQ6/V93d3cHsZrpsbWq3T/FdSqD8YeGni4//dM890YlxXM8FGclEBMe8kGXOKmbbrqJF154gTfeeAO73c6pp55KTU0NW7ZsISkpiT/+8Y8TXlNbW8v+/fvp6uoa115WVsaXv/xlUlNTWbp0KbGxsdTU1LBjxw4GBweZN28e999//4d1ayIiIiIiIiIywymke59uv/12br311gnt27dvJyIigqVLl7Jv3z4GBgaIiooiLy+P3bt3A75NDDweD3V1dQAsXrwYh8NBb28vERERFBYW8vbbbwOQmZmJyWSipqYG8K2tVl1dTXd3N6GhocybN48dO3YAkJ6eTmhoKJWVlQDMnz+fAwcO0NnZicViYfHixWzduhWA1NRUIiMjcTgcAMyZM4fd5dVHvW/vsC+YDEnIotx+Pj96qw3eagMgzj1AjnkIe2I4saEeFtsTWL18Ad3d3f40vKSkhJ07dzI8PExcXBzp6em89957ABQUFNDf3+/flGH58uXs2bOHwcFBYmJiyM7O5t133wUgNzcXl8vl3xji+eef54YbbuCZZ57h8ccfJyEhgfPOO48rr7ySsLAwGhoaqK2tBXzr2I2OuDtw4ADDw8P+tetyc3P50pe+xFtvvcWbb75JT08PYWFh2Gw2zj33XG655Rbee+89qqqqSEtLIzw8nIqKCgDmzZtHfX09HR0dhISEsHTpUv8mGykpKURHR1NeXu5/v5ubm2lra8NkMrF8+XK2bduGx+MhKSmJ+Ph49u/fD0BhYSEdHR20tLRgMBhYuXIlO3bswOVyER8fT0pKin8HHJvNRm9vL42NjQCsXLmSXbt2MTQ0RGxsLJmZmezZsweA/Px8BgcHqa+vB2DZsmW89957DA4OEh0dTW5u7rjPrNvt9r/fS5YsoaysjL6+PiIjI7HZbOzatQuArKwsjEbjuM9sVVWV/72cM2eO//3OyMjAYrFQVVUFwIIFC6irq6OzsxOr1crChQvZtm2b/zMbERHhf7/nzp1LY2Mj7e3tE97v5ORkYmJi/O93cXExra2ttLa2YjQaWbFihf/9TkxMJDEx0b+pid1up6uri+bm5gmf2fj4eFJTU9m7d6//M9vX1+d/v1esWMHu3btxOp3ExsaSlZXl/8zm5eUxNDTEwYMHAU7KZ0RTUxPt7e2YzWaWLVvG1q1b8Xq9JCUlERcXR1lZGQBFRUW0t7fT0tLif7+3b9+O2+0mISGB5ORk/2fWbrd/KM+IpUuXUlpaSn9/P5GRkRQUFPDOO+8AhzagGfuMqKiooLe3l/DwcIqLi/2f2czMTMxmM9XV1f7PbG1tLV1dXYSGhjJ//ny2b98OoGeEnhF6RugZoWeEnhF6RugZoWeEnhF6RhzHMwKYMc+IuLg4AmHwer2TzWqUAE02ki4rK4uuri6io6ODWNnxe7Oijc/f/9YRz2l+5FYGKraR/NmfEJa35Ijn3vrWH1lr7cVqs2O12UZ+FRCSl0eX20h8hGU6yxcRERERERGRk9jOnTtn1Brw3d3dxMTEHDUr0ki698lqtWK1WoNdxrRamRdPWkwojV2Dk65L1/vO8wxUbCO8+NSjBnQA2d2NDPe3M1xTS++//+1vb46I50tnf59Yj5N8qxt7QhiFOUkUz8mmKDOehAhLQLvFioiIiIiIiMjMMTw8HOwSgkIhnUxgMhr40Ya5XP3QTgz4NooYbq2je9vjuLpbGKzeRVxcErd/8gKa+kqpGDBQY4rmQFQSLuP4j5TVNURyf8ek16mNSAKg02hl5zDsbAQaW2FLKwAx3iHyLS5sCeEU5iQypzibwsw4kiKtCu9EREREREREZqhAp4fONArpZFLr56dx3yVLuXXjXhq6BhmsfYfe3c9jCo1g1bqzeej3v6GgoMB/vqevj15HJRXvVbC/spHylj4q+8EzMIBx0vF4UBuVcsQaugwW3h628PZh4V2Ud4h8i5ufLw4je74NS14eRoumzIqIiIiIiIjMBOnp6cEuISi0Jt00C3Se8cnC7fGytaqdN99+j9VL5rEyLx6TMfBRbJ6+PpyVlTjLHTgrHDgdDobKHQzX13P34k+zKXfVcdVl9Hp4fOP3sXhcYDRiyc7GardhsdlozLDxpjGR4uJsijLiSInWyDsRERERERGRk8WWLVsoKSkJdhnTRmvSybQwGQ2sLkjA2GqlpCDhmF9vjIggbMECwhYsGNfu6evj544Krh4dedfcS2W/gSpzNAeikhkyhRyx37S+Nl9AB+DxMFRdzVB1NfzrBV7IKeFXSz4DW30j7yK8w+RZ3NjjQynMTmROcRaFGXGkxYQqvBMRERERERGRE4JCOgnI2Kmt08EYEUHUooUsWrSQRWPa3b19DDgcVL1XQWlVE+XNvVT0Q405mrrIZJxm37TW7O7GKfuuiR4/jbbPEMKe4RD2NAFNrbDNF96Fe12+Ne9GwrvioiwKM2LJjAuf1nsVERERERERkcBNdwZxslBIJwHp7+//UK5jiowgcvEiFixexNixd6PhXfXIyLuQiC7M6Wm46hsm9HG0te5G9RvM7Bk2jwvv4of7eGr4day2Aqw23/RZa24uBq15JyIiIiIiIvKh+LAyiBONQjoJSENDA9nZ2UG7/mh4N3/xIuaPaXf39jE0stad01GB0+GgYKiHvo5aaqNSGDRbj+k6WZ319Lz+PD3Pj724CUtODv8oPotXI7KxxYdSlJXgG3mXHkdmXBjGY1inT0RERERERESmFuwMIlgU0slJzRQZQdiiRYQtOjRp9r8Bd28vgw4HNXsr2F/hW/Ouog+qzVHURqUwEBI6aX85k02jdbsZqqxkT8Ig+yyh7GuCjU1tsL0NAKvXTZ7FhS3eSlFWIsWFmf5ps8eyyYaIiIiIiIiIzF4K6SQgy5cvD3YJx8QUGUnE4sXMXbyYuWPa3b29OMvLqd1X6Qvvmnpw9HupMUVTE51Cdk/zlH3WRk8+jdZpMFE6bKK0CZ5uaoXtvjXvrF43uRYXtrhQPlKcwmfPWqBpsyIiIiIiIiJHcbJlENNFIZ0EZM+ePSxatOjoJ57gTJGRhC9ZQvGSJRSPaXf39OB0OOh3fAy3o9A3fbaiAlejb2TdkNHEwYjEY7qW02Bi/7CJ/c1ehrZtZOENl2HJzcFqs2MtKMBqt2G12SgLiSM83EpOfDhmk3Ea71ZERERERETk5DNTMohjpZBOAjI4OBjsEj5QpqgowpcsIXzJknHto+Fdb7mDu/fXUN7U45s2a4qiJjqVXktgO8Fm9zSBy8WQo4IhRwU9Y45df9o32R+XTYjXQ47FhS3WSmF2PMX2TArTY8hJiCBE4Z2IiIiIiIjMEjM9g5iKQjoJSExMTLBLCIqx4d2GMe3u7m4GHQ7qSysoq2igrLFnzJp3qXRbI8b1k93TNGn/XqA2MhmAYYMRx7AFR4uXTS1tsMO35p3Z6yE7xIU9zkphVgJF9nSK0mPJSYjAYlZ4JyIiIiIiIjPLbM0gFNJJQGbjripHYoqOJmLpUuxLl2IHzhtpd3d3M1juoHF/BaUVDZQ39lDR6yG/6+Ck/bSExU65icUol8FIpctCZYuXf7a0wk7fmncmr4dvxnXy5SUpWG0FWLKzMYSETONdioiIiIiIiHz4ZmsGoZBOAvLuu+9SUlIS7DJOeKboaCKWLaVg2VIKxrS7u6/B6ajA6SjH6XAw5KjA6XDQMWQldrCHztCoY76W22DE8q9nOfjgLl9DSAjW3FysdhuWggL+y5VHWloCxbZ0CtNjyEuMwGo2Tct9ioiIiIiIiHxQZmsGoZBO5ENgio4mfOkSwpeOX/Muv6uLcyoqaCx1UOZooLyxm4peD9XmaGqiU+kIjT5ivzljp9EOD+MsL8dZXk5PSBiPn/cTaBg/8i4zxI0tzoI9M545tgzsaTHkJ0UQGqLwTkRERERERCSYFNJJQHJzc4NdwoxkiokhfOlS8pcuJR9YP9Lu7urCWVFB8z4H+x31vg0rRsK72qgU2sJiMHo9ZPQ2T9pvbVTKhDa3wUiNy0hNi5d/t7TB274174xeL5khLgpiLRRlJlBkS+MjxSkkRFr/P3t3Ht7WWaeN/z7ad++SvC9anH1PnO7pXmhLSikwL3SAMvAC7/AbOoWZF4YywLAOQ0vbgWHegTIdBgZmaCmlK11o6ZY9afbYOrIted8tyYska/n9cWTZimVHiZ3Ilu7PdeVK/ejoOc/xlajJne/3eS7SUxMRERERERHNL18zCIZ0lJFIJJLtJeSV6fCubssW1AG4OTEeHR1FyO3G4Bk3Wt1dKGzajpAoIjowmPL+dCHdfGKCAG9ECe9gHK8ODgLvDOLhtm9iW6VRap2126G22aGqqUZMJkcoEoVOxY8OIiIiIiIiujjyNYPg37QpI52dnaisrMz2MvKevLAQuq1bUbN1K2Zvozkd3oVcIkKiiFXeYbyvaz88ChM8RgsGdEXndZ/yUwfhPzqZMiaoVOhctQWfrH8fKpRR2AqUcFYVS3velZtgKzNAr+ZHChERERERES1OvmYQ/Bs1UQ6YDu90W7cCAN6d+BEdHUVIFDHU7JbaZnt9cAcSbbMmC/p1xXPmKgr6YZyanDMeD4chDk0i3iCgK6JA11Acrw8NAUeHkteUyyOwF6rgqCzCakc5HNYC2M0GGBjeERERERERES2If3OmjGzZsiXbS6ALIC8shG7bNui2bUM1gBsS45GREYTdbow0i2h2dcPV64c4FoVHYYIxPDHvfB6jdcH79UQV6BmK4Y2hIeDYTHhnlUdgK1Tin3c3oshWB0HOgyqIiIiIiIgovXzNIBjSUUbOnDmD9evXZ3sZtEQURUVQJMK7SgDXJcYjIyMIiyJC7sZk62xIFBEdkgK389nrbrbeqAK+3kn0vuc29KtUUDU0QG23J37Y0FFchWNTWjisJjgsBpg0yqV5UCIiIiIiIlpx8jWDYEhHGZmYmL+6inKHoqgIiu3bodu+PWV8Orz7pxYRLa7TUuVdQKq88xot6NGXIC7IFpy7eqwfAqS22dCZMwidOZN87Qn7Ljy67rbk12Z5BLYCFRqriuBssKKx3AS72YgCLcM7IiIiIiKiXJevGQRDOsqIwWDI9hIoi2aHdxUAdiXGIyMjCLlc8LvccLm60NLjgzsQRbuyIBnexRLhXa2/b975z67Q648q0D8cw57h1LbZUnkU9gIlnJVFaGywwllugsNsQKFOtcRPTERERERERNmSrxkEQzrKiM1my/YSaBlSFBVBsWMH9Dt2oBzA1YnxyPAwQqIIf4sIUZTCu8IRcd55Mm2jHYzKMTgcw97hIeC4FN7VxCfw24YRqB1S+6yyspJ73hEREREREa1g+ZpBMKSjjBw9ehRNTU3ZXgatEIri4pTw7qrEeGR4WNrrzi1Ke98l9r2rCfRhQqFGt6EUUdn5BWzVPSIGnvp58mtBo4GqoR5qux2PFW/BUaEAjspCqfLOKlXelRjUS/ewREREREREtKTyNYNgSEdEl4yiuBiKph3QN+1IGf9xIrwba3FBFDvh6vZJe94l2ma7DKWIyNJ/XNUEUtto48EgQqdOI3TqNA5cXo53zEbsHxkGTgwnrymUzbTNOustcFqNcJiNKDWoIAjC0j84ERERERER0TkwpKOM1NTUZHsJlMNmh3cWAFckxiNDQ1J4J4podXWipXsUbn8U7UoTvEYrOo1lqDmPve6mjcbkODgSw8GRIeDEzJ53BbIobCYlnJWFuHZzHW5eV76ET0lERERERESZyNcMgiEdES1bipISKEpKoN/ZBAuAywDE43FEE5V34y4Rk9pVgFuBkCgiOjqafG9AqcWwtuC87ueLyXF4NIbDo8MIPvcMnOFmqO02qOzSfndqhwPKigqc7h1DiUEFs1HNyjsiIiIiIiJaEgzpKCNerxfl5awqouwTBCElvJsWj8cRHRpCSBQREt3QuNz4RtcbcPsj0mmzJgs6DGZMyZUZ3ad6uAtBz0kET55Mvb9Wi09d+wV0qApglMVgMyngqChEY51Z2vPOYoDVpGF4R0REREREdIHyNYNgSEdEOUEQBChKS6EoLYV+504UA6hHang30SKizdWBlp5RuH0RtKukPe86jBaEzwrvagPp22hDoTC6lEYAQCAmwzujMbwzOgycmtnzTi+LwWZUwFlRiMZ6MxwWI5wWI8oLGN4RERERERFRegzpKCMbN27M9hKILsjZ4V0ZgB1IhHeDg1J453KjXeyAq2sEoj8Cj7JgzoEU07oMZYgJsgXvOR6T4ZgvhmO+YeB0anj35bUa3HXNGigryiHIFp6HiIiIiIgoH+VrBsGQjjLidruxdu3abC+DaMkIggBFWRkUZWXQX3YZygBsx+zw7iaEXKLUPut2IySKiPl8GNaYoImEEFSoz/ue4zEZIv/vX+D+xhkIOh3UNpv0w2GH0mbDN71qNNSUJU+brSzUQiZj5R0REREREeWXfM0gGNJRRsbGxrK9BKJL4uzwblo8HkdkYAA1oohbXG54xdNwdY3A5YvAoyqA12iF12jGpFKz4PzTFXrxiQkEjx9H8PhxAECfrgj/c9OXU9pmNUIcDUY5nOUFUtus2QiHxYDqIh3DOyIiIiIiyln5mkEwpKOM6HS6bC+BKKsEQYDSbIbSbIb+8stRCmALZsK7sCgi6BLhdZ1GS/co3L6p5J53XqMFE0ottFNBmCdH0s7vMVrmjAXjAk75YzjlHwGaZ96nToR3jvICNNaVwWE24jJbCYyazA7FICIiIiIiWs7yNYNgSEcZWbVqVbaXQLQsnR3elQDYjER41z+AkOhCSHSj03UGnT39kBuNiAUCc+bxGq0Z3zMUF3DaH8PpWeHdfwrvYI2jAmq7DWq7HYrycgiCgGgsjng8DoWc+98REREREdHKkK8ZBEM6ysjhw4fR1NSU7WUQrRiCIEBpMUNpMcNwxRUoAbARqeFdWEzseSe6YRsewS3te5OVd2OqzP/lSBaLwvTMr9Afi86M6fVQ2W043bAZ92Id6gyJyrvaMjgtBjgsRtQW6xjeERERERHRspOvGQRDOiKiS2h2eIcrrkiO18bjeH9/f/Kwim7xNFo6RyD6puBRFcJrtMBjsiCg0s+Zs3J8EKpZAR0AxMbHETx6DKd9OoQ3rUdLIIaWwAiebZlpm1UKcdQZpD3vnDWlcFqkPe9qS/RQMrwjIiIiIiK6pBjSUUaqqqqyvQSinCaFdxYoLRYYrpQq79ZjuvJOCu+CLhd6xdNo6RqBOCqFdx6TBZVjg/POm26vu2lTcQGuQAyus8I7BeLJyrtHPtoEpUK+hE9KRERERES0sHzNIBjSUUYUCv5SIcqGs8O7UgDrkAjv+vqkyju3iJD9fQgnqvBi4+PJ93sXCOnmE4EAcSyGkWPtaN35OahtNqgcdqjtdqhtdqgddrhiWrgHxuG0GFFXqoOaQR4RERERES2RfM0g8vOp6by1t7fDYjn/v+wT0cUhCAKUViuUVisMV12ZHE8J70QR33a1oaXrD1LlnboQXqMVXqMZIxrTOe9RE+hFbGwMk0ePYvLo0ZTX/nPje/Cr+qsBAHLEUWOQw2E1wVldCqfVCIfZgIYyPcM7IiIiIiI6b/maQTCkIyLKIWeHdyUA1iAR3vX2Jg+q6HftR0vnMNyJ8M6TOLBiWFuQnKsm0DfvfTzqouR/RyGgbSyGNnEUL4qjyXEZ4qjRJ8K7mhJpzzuzEQ1lemiUDO+IiIiIiIhmE+LxeDzbi8glfr8fBQUF8Pl8MJnOXamyUkxMTECny/y0SSJaGVLCO5eIAVcbWrqG4R4Jo3bQi9UjnrTv+8T1f4suo/mC7rleO4Vf3VAGtd0BhbkMgiAs5hGIiIiIiCjH5FoGkWlWxEo6yojX68WqVauyvQwiWmKCIEBZXg5leTkMV12FEgCrkAjvenqSlXfSzyLCoojoxAQqxocQkqswqCs873tazxxBx6/+BwAgM5mgttmk/e4cdvwoXIHWqAaNNSVwmI1wWoywmfXQqfi/KyIiIiKifJGvGQT/1kMZ8fl82V4CEV1CgiBAWVEBZUUFDFdfnRyfDu/+PVF5N+zam6i8C6FdXQSvyQqv0YJ+XdG8c89uo435/Zg8cgSTR44AAF6/5nNwFVXj1baZzxwBcVTq5LBbjHBWT7fNGmA3G6BX839jRERERES5Jl8zCP7thjKi0WiyvQQiWgbODu9KADgAxGOxlMq7YddeuDqHII6G4FEXw2u0wGOyoF9XjFp/+r3uYhDSnkYbh4DOiRg623x4rS31f9YVWhkcFiOc1cW4dpUZl9tKL8JTExERERHRpZSvGcSS7El36tQp/OQnP8H+/fsxODiI3bt343vf+x4A4O2338bBgwdx9913o7i4eNELXu5ydU+6aDQKuZwbvRPR+UkN70SMuFoRdbsRd7sQn5hIubZPV4SP3fTlC77XR33H8emyyWTrrNpuh7y0FIIgQOwPwGLSwKhRLvaRiIiIiIjoIsu1DOKS7Un34IMP4otf/CIikQgAqcpicHAw5Zq//uu/hlqtxqc+9anF3o6y5ODBg2hqasr2MohohRFkMigrK6GsrIThmmtQkhiPx2KY6u5BSHQh7HYj5BIRafXiC8ceh0cjVd55jRb06osRF2QZ3aui+R2Mvno0ZUxeUACV3Y4PVN+FYShh1chgtxjQWFUMh8UIh8UIu9mAAi3DOyIiIiKi5SJfM4hFhXTPPvssvvCFL6C+vh4PPPAArrzySpjNqaf9XX755SgrK8NTTz3FkI6IiABI4Z2qqhKqqkpg1y4AQAWAdbPDO1GEz7UHondW26xJCu969CWInRXezd7rblrU50PfsdMYrpZCuN5gDL0eP970+FOuM2sEqW22shhOq7TnncNsRIGO4R0REREREV0aiwrpHnzwQej1erz00ktoaGiY97pNmzahubl5MbeiLCsvL8/2EogoD5wd3pUAaABwYyyGqe5uhFxS5Z3ftQeiZwDiaDhZeVcxPpB2Tq9p7j53Z+sPxtHv8eOts8K7Mo2Ab7/LgRt22CEIwhI8IRERERERnUu+ZhCLCukOHTqEnTt3LhjQAUBpaSneeOONxdyKskyn02V7CUSUx6Twrgqqqirg2mtRAqAewA2zwrvQVSUIJw6uCLndiAeDAIBBTQFksShisvPf02IgGIf/r/8/uGI+qO12qOw2qO0OqO12oL4B/7i3T2qbNRvgMBtQYlAv7YMTEREREeWhfM0gFhXShcNhGI3Gc17X398PhYIHya5kbrcbpaU8NZGIlpfZ4Z3x2muT4/FYDFNdXQi5RLzfLeLd4ttwt0uVd+2z9rzrMpQheo7wribQh+hUEBMHD2Li4MHkuLugAj+/9r6Ua4tVgrTnXWUxHBYD7GYDnBYjSvQqVuIREREREWUoXzOIRSVn9fX1OHr06ILXhMNhHDt2DE6nczG3IiIiypggk0FVXQ1VdTWM112LUgC1AK6dFd6FRBFj4ltoax+EayQEr6YYHpM1Ed6VIiJToGTSB8NUMO09vMa5bbTD4Tj2dwSwvyOQMl6oEuAwG+CsLJJ+thixpbYIGmXunFhFRERERESLs6iQ7j3veQ++973v4cEHH8R9992X9prvfe97GBgYwOc+97nF3IqybO3atdleAhHRoqUL7+oA7IpGpfAu0S47Lr6N1vZ+DPaOzDtXupBuPqPhOA50BnCgcya8e26VH7WrbVA77FAUFyfHY7E4BAGsvCMiIiKivJWvGYQQj8fjF/rmkZERbNy4EV1dXbjrrrvw3ve+Fx/60Ifwrne9C5/4xCfw5JNP4pe//CXq6+tx5MiRjFpjVzq/34+CggL4fD6YTKZsL2fJtLS0sBqSiPJOfHZ4l6i+C7lFhN2teL2kEW+Xr4PHZEWHwYyIPPN/99JOBfHEs/djOoaTFxdDbbdDbbdhr3kV/r7LkKi8K4TdbITTIp02azGpGd4RERERUc7LtQwi06xoUSEdIH3j7rrrLpw4cQKCICAejyf/AhGPx7FmzRr87ne/g91uX8xtVoxcDen27duHpqambC+DiGhZiEejmOrsnFV5J6Ld0w/3SAgebTE8RqlttsNoxpRcOef9jcMePPT6P6ed+38c1+Lf196a9jWjUoC9zIDGykLYzQY4LFKAZzVpGN4RERERUc7ItQwi06xo0ac5OJ1OvPPOO3j66afx4osvor29HbFYDFVVVbjxxhvxvve9D3I599xZ6ZTKuX/JJCLKV4JcDlVtLVS1tTBef31yz7urZ4d3LhET4lvwtPZDHA7Boy2B12SBx2iBY7Rz3rkXaqMNTMVxpDuAI92pe94ZFALsZj3WVBfjW3esY2BHRERERCtavmYQi6qku++++1BUVISvfOUrS7mmFS1XK+mIiOjCxaNRTHV0JCvvpJ9FhFtbEQ+HU679q2s+B1dR9QXdp3Z8AD/3vya1zjrsUNtsUNntUBQV4WS3D/3+EBwWAyoKtJDJGOQREREREV0Kl6TdVaVSYffu3fjNb35zoVPknFwN6XKt1JSIaDlIDe+k6juPp086bVZbAq/RAo/JAq/RgqBCfc75ruw6ii8f+M854/LSUvx48114Ui9tPaGVC7CX6eGsKITDYkieOFtZyPCOiIiIiLIv1zKIS9LuWlVVhVgstpgpiIiI8pYgl0NVVwdVXR2MN9wAAKgEcFkkgnAivAu73Zh0vY0OVy/cI0F4dKXwGKXgzmu0YFKpSc5XG+hLe5/o4CBaJwDopa8no3Ec7x3D8d6xlOs0csBWqkdjRSHsicMqnBYDqop0kDO8IyIiIiK6qBYV0t1xxx34+c9/jkAgkBcnt+Yzi2X+PZKIiGhpCQoF1PX1UNfXAzfeCACoxlnhnSgi6Hobna5eiMNSeLd2qG3eOb1G8znvG4wCJ/vGcbJvPGX8mnI1fvax7ZAXFCzquYiIiIiIMpGvGcSi2l0DgQCuueYa6PV6PPLII9i8efNSrm1FytV21+HhYRQXF2d7GURElEY8EkHY24GQ6ELY7UbIldjzrq0N8akphGUKfOmKT8FjsmJcqT3v+d8r/gn/+8TTkJeVSvvd2R2Jn234frsMg2HAaTHAnqi8qynWQSGXXYQnJSIiIqJ8kGsZxCVpd929ezfUajXeeustbNu2DeXl5aipqYFGo5lzrSAIeOWVVxZzO8oil8uVU/3gRES5RFAooG6oh7qhPmV8dnj3H6KIkPg2ult6kpV30p53VniNFoypdPPOX5Noo40ODGJiYBATe/YmX3vhhv+LbkNZyvVKGdBQopP2vDMbkgFebYkOSoZ3RERERHQO+ZpBLCqke+2115L/HY/H0d3dje7u7rTXCgL3siEiIrqUUsK7m24CAFQB2B6JIOz1ShV3bhEhcQ96m7vQMhKGV1cCr9GaPLQioNKj1p9+r7uQTIFefcmc8akY0DwwgeaBiZRxRSK8c5QXwGk24tpVZdhQVbjUj01EREREtCItKqRra5t/7xvKLatXr872EoiIaIlI4V0D1A0NAGbCu61TU9Kedy4RIdGFoLgHfWe6oRpPH9J1Gs2ICZlXxkViQMvABFoGJvAsehB741VUry1MtM/aIJ9V+u8ZGkd5gRYqBSvviIiIiPJNvmYQiwrpamtrl2odtMz19/fn1B57REQ0l6BUzoR3N0vhXTUg7WuXUnknHVxR3D2Evzz6W6nqLnHa7Kgm84Okyl59Fr3/3ZL8WmE2Q223Q2m34+bAekQgoK5EB4fVBIfZAIfFCIfFgPpSPdQK+VI/PhEREREtE/maQSwqpKP8MTQ0BLvdnu1lEBFRFghKJdQ2G9Q2G4Cbk+P1U1PYOh3eiSJC4j4MnOmEazgEr64UHpMU3HmNFoxo5v4ha3qvu2mR/n5E+vvR884ZBG/aAAAQBycgDk7g+VnXyQWgtlibCO+k4M5hNqKhTA+NkuEdERER0UqXrxnEokI6r9d7XtfX1NQs5naURXI5/9JDRESp0oV3VQA2TU0h7PEkgjs3QuJ+DJz2QkyEd16TBT36UpRO+tLO6zVaFrxvNA60Dk2idWgSfzg5E/TJBKCmSIvvf2ATttXlzmlgRERERPkmXzOIRYV0dXV1GR8IIQgCIpHIYm5HWbRt27ZsL4GIiFYIQamE2m6Heta/flYB2BQOS22zoihV3xXcjJBbRLjdA8z6M0Kv/sICtlgcaB+exOhn/je8lUVSgOiQ1qGy2xGQqfD/Xm9NnDhrhK3MAK0qP/8ASERERLSc5WsGsaiQ7uqrr04b0sViMXR0dMDr9SIWi+Gyyy6DSqVazK0oyw4cOIDt27dnexlERLSCCSrVTHh3y8x4PBxOqby7WxTxrpOPwj0SgldfmrLn3YCuaMF7yGNRWNpPY7wthvE330x57aRjG3689s9m1gOgulAjtc1ajIl97wywmw3QqbgjCBEREVG25GsGsag/gb722msLvt7S0oJPfOITiMfjeP755xe8lpa3WCyW7SUQEVGOElQqqB0OqB2O5FgVgA2zwzuXiJB4AMMnvXAPB+HVlyWDO6/Jiv5EeFc5NgBFPP3/s9qmlClfxwF4R4Pwjgbxypn+lNeqCjRwWI1wWoywJyrv1lSYoJTztFkiIiKiiy1fM4iL+s/ETqcTv/3tb9HY2IivfvWr+Md//MeLeTu6iMrKyrK9BCIiyjMp4d27pLEqAOvDYYTa2xFO7nl3ACMnPHCPBBEU5v+jjddkzfjenb4gOn1BvNo8kBw7cFcFilc5ITfoU66Nx+MZb/9BREREROeWrxmEEI/H4xf7Ju9+97tx8uRJeDyei32rrPP7/SgoKIDP58up44JHR0dRWFiY7WUQERHNKxYOI5wM7xLVd243wh4PEI3i+dom7C1fC6/RjD5dMeJC5lVxpROj+M8XvwkAUFSUS227Nql19yVlOR48MQ6H1QRnomXWkajAM2mU55iZiIiIiM6WaxlEplnRJdlwJR6Po6+v79wX0rLV3NyMpqambC+DiIhoXjKVChqnExqnM2U8Fg4j3NaOvxBd+HO3GyHXIYyeaEfbSBAefZnUMmu0wGO0olefPryrCcz8OSbS3YNIdw/GX38DAHBw9bvQ03g9evwDeL1lIOV9VqNK2vPObITTMr3nnREFWoZ3RERERPPJ1wziood0R44cwZ/+9CfU1tZe7FsRERERzSFTqaBpdELTOBPeVQFYkwjvQqILIVFEWDwI//F2tJ4V3nlNVtT7e+ad32OyzPtabyCM3sAg3nANpoxbjCo4LCZsrinE529qXPQzEhEREdHKt6iQ7h/+4R/mfW1sbAwtLS14/vnnEYlE8KlPfWoxt6Isc55VlUBERLTSpQvvAGBVOIxwW1uiXVZEWDyE4LiIKZkMSLOJsdc4f0g3n75AGH2BQYycacHdR38Ptd0Btd0GdUMDZHppz7sTXT6MhyJwWowo0qsu7CGJiIiIVqB8zSAWtSedTCaDIAhYaAqdTocvfOEL+NrXvnaht1lRcnVPutbWVjQ0NGR7GURERFkTC4UQbm9PnDQ7XX3nRstICB6DGR6jNVF5Z0GXvhQxmfycc97Svhefe+fxlDFlZSXUdju+ZbkKL4QLAQAleiUcFum0WYdZ2vPOYTagxKC+GI9KRERElFW5lkFckj3p/v3f/33e11QqFcrLy7F9+3bo9fp5r6OVYWBgIKd+gxAREZ0vmVoNTWMjNI2p7an1oVBK5V1IPIzxY61oHwnCozfDa7LAk2id7TKUITorvJu91920qa4uTHV1Qdy1GUhsmDw0PoWh1mHsbR1OubZYJ4V3DosBzsRhFQ6zEaUGFU+cJSIiohUrXzOIRYV0H/3oR5dqHbTM8Q/6RERE6cnUamhWrYJm1aqUcefs8E4UEXIfwcTRVrSNTMJrMMNrtGDDoDvtnDEI6DCYz3nv4Ykp7Gsbxr621PDufZuseODPtl74QxERERFlUb5mEItqd6W5crXdlYiIiJZGLBiUwjvRLYV3otQ+O+XtABJ/LPOpdPjiFZ9Gp8GMiPz8/0317jMv4mNjp6C226F22KG226Gy2aG2NeAfXmpFKBKTTps1S1V4ZqM6b/8wTERERHSxXZJ2176+PjQ3N6OxsREWy8ymyW63G1/+8pdx4sQJ1NTU4O///u+xc+fOxdyKsuzQoUPYupX/Ik9ERLRYMo0GmtWroVm9OmV8JrwTUeIS8Z/uo5g4JsI7PAlPovJues+7DoMZU3LlvPeo8fdiqrsTU52dGHvttZkXBAG/e/fXMarUpVxv0igSe94ZYDdL+905LUZYTAzviIiI6NLL1wxiUSHdd7/7XTzyyCM4ffp0MqTz+/248sor0d/fj3g8jlOnTuFPf/oT3nnnHTgcjiVZNF16kUgk20sgIiLKafOFd45gEOHWVoTc7kTr7FFMHHWjY3gi2TbrMUkBXofRgrBcmXavOwAYVermBHQA4A9GcMgzgkOekZRxo1oBx6yKu12NZtjNhqV7aCIiIqI08jWDWFRI99prr2HNmjUpR+M+9thj6Ovrw4c+9CF89atfxbPPPov77rsPDzzwAP71X/910Qum7CguLs72EoiIiPKSTKOBZs0aaNasSRlPhneimDi04hgmjrrROTQOy8Rw2rm8Rkva8fkEQhEc9o7isHcUAKA4cxJVV9igamiATKNJubbXF2TlHRERES2JfM0gFrUnndlsxmWXXYannnoqOXbzzTfj1VdfRXd3N0pLSwEAmzdvRjAYxOnTpxe/4mUuV/ek8/v9OfU8REREuSo2OYlQayvCyco76cdUZyf6tIV4vWJj4sRZK7xGC0IKVcZzP/inR7B6xAsIApTV1dKed3Y7Yg12XLZXBp1KLp0wa5lpmbWbDags1EImY3hHREREmcm1DOKS7EkXCASg0820TESjUezZswdbt25NBnQAsGrVKjzzzDOLuRVl2enTp9HU1JTtZRAREdE5yLRaaNeuhXbt2pTx2OQk6lpbsTl5WMUxTB4V0T00Do9xes87a+JnMyaVmjlzJ9to43FMeb2Y8nox9sc/QiyoQPza+zAejuJopw9HO30p79Mp5bBbDFKAZzYmD62oKmJ4R0RERHPlawaxqJCuoqICZ86cSX795ptvYmxsDLt27Uq5LhKJQKXK/F9piYiIiGhpzRfe2ScnEXK3IuxOhHeuYwgeFdE9NJbY784Kr9EMn8oAfSSUdm6v0brgvSemojjW6cOxs8I7jVIGu9mAB96/CY1W4+IekIiIiGiFW1RId9lll+FXv/oVHnroIVx//fW4//77IQgCbr/99pTrTp8+jcrKykUtlLLLbrdnewlERER0Eci0WmjXrYV2XWp4Z5uYQKi1DSHRhbAoIiS6EaqqwlRn55w5Og1lF3Tv4FQMJ7r8mPjm19BvS7TPOuxQ1ddDplajzx/E44c6YU+0ztYU6yBn5R0REVHOy9cMYlF70p08eRLbt29HKCT9q2o8Hse1116LV155JXlNe3s7Ghoa8Bd/8Rf4yU9+svgVL3O5uiedx+NBbW1ttpdBREREWRabmEDI3YqQW5TCO5eIoCiidygg7XOXOGl2ugpvXKldcD791CR+8+xXkBK9yWRQVVdj/6rL8SXt1uSwSiFDQ6kezsSedw6LdOpsbbEOCrns4jwwERERXXK5lkFckj3p1q5dizfffBMPP/wwBgcHsXXrVvzN3/xNyjV/+MMfsHHjRtxxxx2LuRVlWW9vb079BiEiIqILI9PpoF2/Dtr161LGbRMT2OZOnDYruhAWTyD4zu/QNxSYCe1mhXdjKmlf4xp/H+bUxsViCHs8aFbZgFkFfuFIDGd6AzjTG0i5XCUX0FBmSFbcSQGeAQ2lBu55R0REtALlawaxqEo6mitXK+n27duXl5s2EhER0eLExscRam2V2mVFV2LfOxH9ifAuDmDzoJj2vf+09X/hj9Vb0752LkoZcOIr10OtnXsABhERES1vuZZBXJJKOsofO3bsyPYSiIiIaAWS6fXQrl8P7fr1KeO28XFsaW1FyJU4sMItIuwSMdXdnbymzteDDRoRHpMVPrXhvO5bMdqL1m3boKqpgdpug8pul/a8szvwxJACj+3tgMNigH3WabP1pXqoFGybJSIiyrZ8zSAWVUnncrmwZ88eXHXVVaivr0+O7927F/feey9OnDiBmpoafPOb38Sdd965JAte7nK1ku7IkSPYvHlztpdBREREOS46No5wqztReScmq+8GB/3omG6ZNVngNUqnzo5o0v956+rOd/Clg79I+9qPNt6JZ+ovnzMulwmoK9HBkQju7InW2YYyPdQK+ZI+JxEREc0v1zKIS1JJ98ADD+CnP/0p2tvbk2N9fX24+eabEQgEIAgCzpw5gw9+8IPYt28ftmzZspjbURaFw+FsL4GIiIjygNygh3bDBmg3bEgZbxgbx6ZW96zKu5MIHXsKwwO+5GEV03veeY0W1AT65r2Hx2hJOx6NxeEeGId7YBwvnJwZlwlAXYkedrMBO+qL8YmrGpbkWYmIiCi9fM0gFhXSvfnmm9i0aROqqqqSYz/72c8QCARw33334dvf/jaee+45vO9978ODDz6IX/wi/b9m0vJXWFiY7SUQERFRHpsvvIuOjWODW5xVeXcaoWNPI9TTO+9c84V084nFgdbBcbQOjmPM3YYPBM5I7bN1dRBUquR1J7t9iMcBu9kAjZKVd0RERBcqXzOIRbW7lpSUYNeuXXjiiSeSY9dccw3279+PgYEBGAzS3iGXX345BgYG4HK5Fr/iZS5X213Hx8eh1+uzvQwiIiKijETHxhB2u5MHVYQS/z3V04PTxbWJyjtrsvJuUFeY0bx3ul7DJ08+I32hUEBVWwu1zQa13Y4vhBrwpyFAEICaYl3ilNnEabNmI+xmA7QqhndERETnkmsZxCVpdw0Gg5DLZ/6gEQqFcODAATQ1NSUDOgCor6/H0aNHF3MryrITJ07k1MkqRERElNvkBgO0GzdCu3Fjynh0bAz1YiK0c81U3vkGR+E1muE1zQR3HqMFA7qilPentNFGIgi73Qi73Qi8+CJabvgiYChFPA54hibgGZrAy6f7k5cLAlBVpIXTbIQ9cViF02KArcwAvZrnuREREU3L1wxiUX8aqKqqwrFjx5Jfv/zyywgGg7juuutSrpucnMypBJSIiIiIVia5wQDtpk3QbtqUMh4dG8NaUZxVeXcGoWPPwDc4go5Ze92tHvaknTcoV6JXX7zgveNxoGN4Eh3Dk3jlTH/Ka5+6pgFfetfqRT0bERERrWyLCumuu+46/Nu//RvuvfdeXH/99fjSl74EQRCwe/fulOuOHz+O6urqRS2UsquhgRskExERUe6aN7wLBLBGFKXWWZeIUKEDIVFApC/1YIoRtRHmiVH0nSOom/f+v/5PdP5hEmq7HWq71D6rqq2FoFTi7586AbVCBofZCIfFALvZAKNGeaGPSkREtOzlawaxqD3pvF4vNm/ejNHRUQBAPB7HBz/4QfzqV79KXnPy5EmsX78en/3sZ/HII48sesHLXa7uSdfR0cGglYiIiCghGggkDqoQERZnDq4YGxxBh6EMntltsyYL+nTFiAuyeef71lv/D1sGztq/WamEoq4Ot675BMJC6l52FQUa2BP73TktBtgTAZ6J4R0REeWAXMsgLsmedDU1NTh69Ch++tOfYmBgAFu3bsXHPvaxlGuOHDmC3bt34wMf+MBibkVZ1t3dnVO/QYiIiIgWQ240Qrd5M3SbN6eMR/1+NIpuhNyJ8M7VjNDRZzE2NIJOQxm8icMqPCYpwOvRlyAuyFAb6Jt7k6kpeLuHEV4797CJbl8Q3b4gXm8ZSBm3mjRwJPa7c1gMuNpZhspC7ZI+OxER0cWWrxnEoirpaK5craTbt29fXm7aSERERLQUon5/otrOlai+kyrvxgeH0Wk0o8HXDSHN+/Za1+DrOz9+wfd95IZK3H7NWgjK1Aq7eDwO3+QUCnWqC56biIjoYsm1DCLTrIgh3RLL1ZAuEolAoeCpY0RERERLKerzSSfNzm6ddYmIDEgVch6jBX+q2pQ4bdaKbn0JYrK5lXXz+beX/xHVoVGo6+qgdtihstuhttkxVlWHy//ThVKDeqZl1mKE02yAw2JEsZ7hHRERZU+uZRCXpN112osvvogf//jH2L9/PwYHB3H33Xfj0UcfBQD84Q9/wB/+8Ad84QtfQEVFxVLcjrLg5MmT2LhxY7aXQURERJRT5AUF0G3ZAt2WLSnj0+Gd1SVikygi7HYhdOx5TAwNo1tflmyX9STaZ7sNpYieFd4pYhGUjw8B8RhCLhdCrpk9746W2oArP4PBsRAGx0LY0zqU8t4SvSrZNju9553TYkCJQX3xvhlEREQJ+ZpBLDqk+9znPocf/vCHiMfjMBgMmJqawuzivPLycjz00EOorq7GX//1Xy/2dpQlwWAw20sgIiIiyhvzhnejo3C43cmDKkJiC0LHn0NwcATdhtLEfndScBeRyaGIx9LO7zVaFrz/0HgYQ63D2Ns6nDJerFfBbjbgBx/cxL3uiIjoosnXDGJRId3Pf/5z/PM//zO2bduGf/u3f8OmTZsgk6WeWrVhwwZUV1fj6aefZki3guVS6y4RERHRSiUvLIRu61botm5NGY+OjsLudiPkktpmQ25p77voPPOcK6Sbz/B4GPvbhhH55X/A77RBbbdDVV0NIdGS1DE8gVdO98GROHm2zKiGIKTbbY+IiGh++ZpBLCqk+/GPf4zCwkI8++yzKCsrm/e6DRs24Pjx44u5FWVZXV1dtpdARERERPNYKLyTKu5m9r0LiSI+dfwpvKf1zZTKO6/Rgg6DGRH5wn9FME+MYOKfH8ZE4mtBpYKqvh5qux2vlG/A1wZLktcWaJVwJPa5k/a+k06dNTO8IyKiBeRrBrGokO7EiRO45pprFgzoAKCgoAB9fWmOlacV49ixYzl1sgoRERFRPpAXFkK3bRt027aljEdGRmCbPrDCJUqHVxz/A8JDw+jRFcNrmtnvzmu0oNNoRlgunRBb4+9NmSseDiPU3IxQczNOrokDzuuSr/kmp3DQM4KDnpGU95g0imRwN/OzAVaThuEdERHlbQax6D3pMvmfaHd3N7Ra7llBRERERLQcKIqKoJgnvGsQRWyb3TqbCO/69MXwGi3QRMLzzptpG60/GMEhzwgOzQrvTBoFjn71pgt7ICIiohywqJDO4XDg8OHDmJqaglKpTHtNIBDAO++8g7Vr1y7mVpRltbW12V4CEREREV1kiqIiKLZvh2779pTx6fBuS7LyrkTa824o9VTY6kA/hjUmeI0WhBSq87p3VbeItjv/H9Q2aa87tcMOtd0OZVUVHn3bg6eP9SRaZqVTZ+1mAyoLtZDJWHlHRJRr8jWDWFRI9/73vx9f/vKX8cUvfhEPPPBA2mu+9KUvwefz4c/+7M8WcyvKsmh0vm2HiYiIiCjXLRTehVwuhBOVd/+fKCJ0fA+mhkfQryuS9rwzWuA1WZKts0GFOu09an09CJ0+jdDp0ynjglqNPVfcg6MmO452jKa8plPJYTdLoZ3DYkjue8fwjohoZcvXDGJRId29996LX//613jooYfw9ttvY/fu3QAAt9uNH/zgB3jyySfx5ptvYsuWLfjkJz+5JAum7Ojs7ERlZWW2l0FEREREy4iiqAiKHTug37EjZTwyPIw6UcRGUUR4+uCK4y9hangEA9pCeGaFdl6jFV6jGTWB9HtYx0MhtMXTb50zEY7iWKcPxzp9KeNa5XR4Z8BlthK8f1v10jwwERFdEvmaQSwqpNNqtXj55ZfxsY99DM8//zz2798PAHjjjTfwxhtvAABuvPFG/OIXv4BKdX7l7kREREREtDIpiosXDO82TId3LhGh4y8hMjKCiCBPO1cUAjoM5vO6/+RUFMe7fDje5cNkTy92m+NQVlVBkMlSrjvd44dWKUd1sQ5yVt4REVGWCfF4PL4UEx09ehQvvvgi2tvbEYvFUFVVhRtvvBE7zvofc67z+/0oKCiAz+eDyWTK9nKWTDgcZtBKRERERBdFZHg4cVCFCyFRRFiUTp6NjowgKsjwTpk9WXnnMVrhMVkwoczsYLo/P/0CPtT8MgSNBuqGBqjsNqjtDqjtdtxzXMDBnnGoFTLYygzJltnpE2drS/QM74iIsiDXMohMs6JFhXR33nknysvL8aMf/ehCp8g5uRrSnThxAuvWrcv2MoiIiIgoj0SGhhIHVUgnzYYTJ85GRkcxlDigwmu0wGOyJv97TKVLmeP+fY/hip4Tc+aOA/jgu7+OgEo/7/1VChkaSvVwWIxwmhMhnsWI2mIdFHLZvO8jIqLFybUMItOsaFHtrs899xzuuOOOxUxBK8T4+Hi2l0BEREREeUZRUgJFSQn0O5uSY/F4HNFE5d1aUaq+C4tuhI6/jMjoKEbUxsRhFVJwZ/N1p53bpzIsGNABQDgSw5neAM70BlLGVXIZ/ubmRnzy6obFPyQREc2RrxnEokK6+vr6vP3G5RuDwZDtJRARERERQRCE+cO7oSGERBGrRfdM66wyinRnBA5qTTCFxuBXn/+fc8PRGIRnf4ehFhNUNhvUDgeUFRXJPe++8rsTKDGokqfO1pXooVKw8o6IKFP5mkEsqt31H/7hH/D9738fLS0tsFqtS7muFStX211DoRDUanW2l0FEREREdF5mh3ehRLtsyC21zkZ9Poyq9FKrbKLyzpNomx3VGBec96HXHkbjaEfya0Gng7qhATGbA9cLV6Rcq5AJqCvVw2kxwG6W9rtzWoyoK9VBrUh/YAYRUT7LtQzikuxJNzU1hTvuuAOiKOK73/0ubrvtNiiVygudLifkaki3b98+NDU1nftCIiIiIqIVIB6PIzo4KIV2iYMqpn/EfD74VDp4jYngzmRJ7nk3opH+jP/bp/8O2mh4zryugkr81bV/ndEa5DIBtSW6ZGhnNxtwhb0UpYbc+YspEdGFyLUM4pLsSdfY2IhYLIaOjg7cddddEAQBZrMZGo1mzrWCIMDtdi/mdkREREREREtCEAQoysqgKCuD/rLLkuOzwztnsvLOjdCJVxHz+eBX6tBlKE0b0AGAx5R5h1E0FkfrwDhaB8bxh5N9AIBffHw7rnSa51wbi8URjsagUbLyjogoVy0qpGtvb0/5Oh6Po7e3dzFT0jJVXV2d7SUQEREREV10C4V3kYEBhEURjrMr7/z+5HXVgX7sdr+eqLyzYkhbcH73/8j70VZtgdpuT/ywQW23w6s04cYfvI6aYh3sZiOclsRps2YjbGUGaFUM74god+RrBrGokC4Wiy3VOmiZk8m40S0RERER5S9BEKA0m6E0m6G//PLk+OzwLiSKKHSJ2OR2I3TiNcT8fowpNegwpLbMeoxWDOoK59zDEJ5A0Wg/gqP9CB4/nvLa3totiG3+ENqHJtA+NIGXT/fNWhtQXaRL7nnnnA7vzHroVIv6Kx8RUVbkawbBT2zKiMfj4eEgRERERERnWTC86x9ASHTB5nbPHFpx4jXEAgGMK9TJ0G764ApNJARhnvu0qYvmXUM8DniHJ+AdnsDLp/tnrQ2oKtLCYTbiwQ9sRKFOtVSPTUR0UeVrBnFBId1zzz2H3/3ud+jo6IBarcaGDRtwzz33oL6+fqnXR0REREREtOIIggClxQylxQxcMXPa6+zwriHZMutG6MSfEAsE5p3Pa7Sc9xricaBjeBK9IxPAgb2YcjqgsFohCDNRYOvAGA56RpIHVxjUrOMgIsqW8z7d9cMf/jB+/etfA5D+BwNI/wNSq9X49a9/jfe85z1Lv8oVJFdPd52cnIRWq832MoiIiIiIcpIU3vUj5BIRdifCu0T1XWxsDEG5Cl6jOdku6zVZ4DWa0acrRlxYuC2s3teNf3n1QQCATK+HKrHPndruwOPyanznVDB5bWWhFnazYebEWYsBdrMBJo3yoj4/EdFsuZZBZJoVnVdI9+ijj+KTn/wkFAoF/vzP/xybN29GIBDAM888gz179sBkMsHj8aCg4Pw2R80luRrSnTp1CmvWrMn2MoiIiIiI8srs8C4kuhASRYQTB1dMh3edhrI5e9716mfCu2s6j+CLB3+Zdv5/3ngnnqu/PO1rs5UXaBLh3cyhFXazEQVahndEtPRyLYPINCs6r1rm//iP/4BMJsPzzz+P66+/Pjn+pS99Cffccw9+/vOf47e//S3uueeeC185LUuBBUrviYiIiIjo4pDaZi1QWiwwXHlW22xfH0IuETVuEVtFEWGXiNDJNxAbG0NIpkBHovKuJOifd36vMbM9n3p8QfT4gnjDNZgcqyzU4q0vXnfhD0dENI98zSDOK6Q7fvw4du7cmRLQTfu7v/s7/Md//AeOn3UKEeWGXCozJSIiIiJa6QRBgNJqhdJqheGqK5Pjs8O7alHEVtElVd5N6hEbH58zT8X4AEbUBvQYShE7R9vs2aq7RXTf/8dk66zaYYfCbIYgCPjRqyLedg/CYZb2unNajHCYDSjS8/AKIjq3fM0gziuk8/v9sNlsaV+bHvf75/9XGlq5Vq9ene0lEBERERHROSwY3vX2zhxUkWid/XzLc4iNjyMsk6PLYIYnedqs9HOXvhQxmTztvaq6WuB78dmUMZnRCLXNhrfqb8Xb8SK8JQ6lvF5qUMNhltplHYngzmkxopjhHRHNkq8ZxHmFdPF4HHJ5+g9omUz6V5dYLLb4VdGyc/jwYTQ1NWV7GUREREREdAEEQYCyvBzK8nIYrroqOT47vKtyidgkigi5RYRPvpkM77r1c/e86zaUoibQN+c+sUAAk++8A3fZuwH93HUMjoUwOBbCntbU8K5Er0pW3F3pKMXNazNrwyWi3JSvGQTP1yYiIiIiIspTC4Z3PT1SeCe6sVGUTpoNn3wTsYkJTAlyxAUh7ZxBuQp9+uLzWsfQeBhDbcPY1zaMqfEJ3LTGAiHN/K6+AAp1KpQaVGlfJyJayc7rdFeZTHbBH4SCICASiVzQe1eSXD3dtbOzE1VVVdleBhERERERZdHs8E46cVZEyO1GWBQRm5gAAIRkChywrobHaIU3cXhFp8GMiDyzGpFPH3sS7x08Lu11Z7NB7bBDbbdDZbfj9v86gzO9ARTqlIm22ZmWWYfZgDKjmuEdUQ7ItQziopzuCkgfyhfiQt9Hy4NKxT0iiIiIiIjynSAIUFZUQFlRAcPVVyfH47HYTHgnumFOVN6FTr2F+MQEooIMPfqSmT3vEvvedRjMmJIrU+5R4+9DzO/H5OHDmDx8ODkeFWRw3/5tQKbA6MQUDrSP4ED7SMp7C7TKmT3vzEY4LFKAZ2Z4R7Si5GsGcV4hHfeby19tbW0wm83ZXgYRERERES1DgkwGZWUllJWVMFxzTXJ8dnhXLopY65Iq70Kn9yTDu15dsbTXXWLfu7pAb9p79OiKMSVb+K+wvskpHPSM4KAnNbwzahT4+9vW4P3bqhf/sER00eVrBsE96YiIiIiIiOiiWCi8m+ruQUh0odztxprp1tlTexAPTaada1BbCHUkjJDi/CtsAsEIZPvexvhUDdR2O+SlpcnKung8jq88dQK1xXrYLQY4zAZUFmpZeUdEl9x57UlH55are9JNTExAp9NlexlERERERJTDZod34el979xuhNxuxCcnEYWAfl1RovLOOtM6a7ScM7z7yUvfRdX4IABAXlAAlcMOtc0Of60DN7cUplyrV8lhn7Xn3XT7bGWhFjIZwzuiiy3XMohMsyKGdEssV0O65uZmNDY2ZnsZRERERESUh6Twrhshlwtht3vm0IrWVsQnJxGDgAFdYeKwipnWWa/RgqBCDWV0Ck8+82XI43O3cDpSasffXfnpjNahS4R3drMU2jktBmyvL4ZJozz3m4koY7mWQVy0gyMoP42OjmZ7CURERERElKcEmQyqqiqoqqqAa69Njs8O7yyiCGfi4IrQqb2IB4NSeKctRL+uKG1ABwBekyXjdUyEozjW6cOxTl9y7PefvQIbqgrnXBuLxREHIGflHdF5y9cMgiEdZUStVmd7CURERERERClmh3fGs8O7ri6EXCIsbjHROquRKu+CwZQ5agL9uLl9X7L6bkKpPa81qL50L3rs9VDbpfZZtcMORUkJjnX58Gf/tge2MkOiZdaY/LmmWMfwjmgB+ZpBsN11ieVqu2ssFoNMJsv2MoiIiIiIiC7Y7PAuJIqJve/cyfAuDmBIY5LaZme1zHpMVoynCe8s48N47KVvzxmXFxXhjxtuwHeLmtKuQ6WQwVZmgDNxUIU90TpbU6yDQs6/dxHlWgbBdldaUgcOHEBTU/r/wRAREREREa0EgkwGVXU1VNXVMF43q/IuGpXCO1GEWXSjQXQhJIoIn96PeCiEOIARtTHlsAqP0YKyydG094mOjMA1OAkUpV9HOBLD6R4/Tvf4U8ZVChkaSvVwWIz4p7s2QKOUL9GTE60s+ZpBMKQjIiIiIiKivCbI5VDV1EBVUwPjddclx1PCO5eIOlFEyC0ifOYA4qHQgnN6jZnvdTctHInhTG8AvcNjkAdqgeLiOde4+gJo6RuD02JAbYkeKkXuVBsR5TuGdJQRq9Wa7SUQERERERFdUguGd52diZZZd+JnEeHW1mR4d9/hX6dW3iX+26c2nPO+Vd1uiJd/HvLiYmmvO7u0153KZsNzAxr84I0OAIBCJqC+VA+HZaZl1mE2or6U4R2tbPmaQTCko4zo9fpsL4GIiIiIiGhZEORyqGproaqthfH665Pjs8O7MpeIGrcU4IXPHEQ8HAYAjKr0yeDOmwjuPEYLRjXG5Dw1gV4AQHR4GBP792Ni//7ka4e3fRio2gwAiMTicPWPwdU/BqA3eY1cJqCuRAdHIrizW6Sf60v1UCvYQkvLX75mEAzpKCNutxulpaXZXgYREREREdGytWB419GBkNsthXfTlXdnDiXDO59Khw6jBR6jFdWBvnnvkUkbbTQWh3tgHO6BcbxwcmZ8bYUJz/7VVRf+gESXSL5mEAzpiIiIiIiIiC4iQS6Hqq4Oqrq69OGdKKJMFFEturFVFBHu7kQ8zTxxAGWTo/Cp9BjWFpz3Oir72jHy665kC628sDD52g9easGpHn+yZdZhMcBWZuDhFUSXkBCPx9P93qcLlOmxuitNIBCA0Wg894VERERERES0KPFIBOGODoQT7bIh16w976amAAABpRYdRjM8xkTLrElqoR3SFs4770dOPY//1fJK8mt5aWkysPt0fD3eGU8N5AQBqCnWJUO76QDPVmaAVsXwji6eXMsgMs2KWElHGent7c2p3yBERERERETLlaBQQF1fD3V9PYw33JAcnw7vQqKIsCiiUnRjsygi3Hw4Gd6NKzSJ/e6kve68iRbaQV0hagO9KfeJDg5iYnAQ43v3Qnz3PwAqXcrr8TjgGZqAZ2gCL5+eacEVBKC6SAeH2QCHxYirHaW43J5/rYl08eRrBsGQjjIyPDyc7SUQERERERHltdnhHW68MTkej0QQ9nYg5JbCu3KXiE2iiHDzkVnhnRqKWDTtvCNqI8bOCugWEo8D3uEJeIcn8MqZfgCYN6RrGxyH2aiGXs34gTKXrxkEf5dQRpRKZbaXQERERERERGkICgXUDfVQN8wT3omuRPVd4rTZtrZkeAcA6mgY9x36NbyJllmv0YJefUnG9zf95GF4fxOCyia1zqodiT3vTCbc/dN96BqdRGWhFg6LIVl95zAbYDcbYNTw75o0V75mENyTbonl6p50RERERERElBuk8M4r7XeXaJ0NuUSE2tuBRHgXlKvQYSiDx2RNBncekwV9umLEBVnKfA+/9hCco51z7hO2VmL3zr9ecC0VBRrYE6Gd02KAPbH/nYnhHeUQ7klHS2rfvn1oamrK9jKIiIiIiIhokaTKuwaoGxqAm25KjifDO5eIkOiC2e3GOpeIkOvYrPBOiU6DOSW4qwn0p71PW1CWdny2bl8Q3b4gXm8ZSBm3mjT4h91rcdNa6yKelFaqfM0gGNIRERERERERUWp4d/Os8G5qKlF550ZIdKFMFLFWFBESjyfDu3T6dUWQxWOICecO687W6w9C2dGOaI0e8rMOEJiKxvDt507DbjbAmajCK9SpzvseRMsN212XWK62u7a1taG+vj7byyAiIiIiIqJlIhneuaS22emDK0LtnmR4F5Yp0GkoS1TdzbTOdutLEJPJF5z/V899DYXhMSgsFqhtNqgddqjsdnSZa3Hb86mVd2VGtbTf3aw975wWI4r0DO9WolzLINjuSkuqoKAg20sgIiIiIiKiZURQKqXwzGYDcHNyPD41hbDHk6i8E1EiilgluhB2nQAiEQBAWCZHl6EMHuNMcOc1WdClL0VMJocpNI6C8BgAINLXh0hfH8bffhsAsLd8HdD0sZS1DARCGAiE8LZ7KGW81KCCI7HP3XSAt6m6EBrlwgEhZVe+ZhAM6SgjLpcrL/vBiYiIiIiI6PwISqV0yqvdjvThnXRQRYnbjUbRhbA4E95NCVJ4N6I2QJhnfo8p833qBsfCGBwbwp7WmfDutS/sQl2pfs61042GgjDfnelSydcMgiEdEREREREREV10KeHdLTPj8XBYCu/cboRcIoqnT50dVSTDu9lq/b24uvMIvEYrOo1liMgyjzZU8ShUP/khRh02qO1S+6zcYAAAvCkO4q9+dSTZLjvdMmu3GFBmUDO8o4uOe9ItsVzdk87n8+VtuSkRERERERFdesnwLlF5F3JL7bNhjycZ3kUFGbr1JbNOm5XaZzsMZkTkc8O7htEu/Oi1H6SMKcrLobbZ8NuqJjwULE+7lgKtEk6LAXbzzH53DosBZiPDu4sh1zII7klHS2pwcDCnfoMQERERERHR8iaoVFA7HFA7HMC7Zsbj4TBC7e0IJyrvCkURNlFE2P0aEI0CkMK7Hl0xvCbLzL53Jgvsvs4594n09CDS04Mzm6xAXfqQzjc5hQPtIzjQPpIybtIo4LAY4bQY8e33rmNgt0TyNYNgSEcZGRwchM1my/YyiIiIiIiIKM8JKhU0Tic0Tmf68C7RLlsoutFwVni3EK/Rct5r8QcjOOQZwYBvct6Arrk3gB7fJJwWI8oLNAzyMpCvGQRDOsqITCbL9hKIiIiIiIiI5pUS3s0SC4cRbmtH2C3OtM6KIsJeb0p49zeHfoV2kzWldbbDYEZIoTrnvctPH4Lrum8l9txzSKfeOuxQ22x4/FAHfvJGGwDAoFbAZjbAaTZIJ84m9r+rKNBCJmN4Ny1fMwjuSbfEcnVPOiIiIiIiIqJcMh3ehUSXFNqJ7jnhXQwC+nVF8Jy1553XaEkJ797f8kd8/NRzae/z1V1/if2F9QuuRaeSw2GW9rxzWhIBntmIykKGd7mAe9LRkjpw4AC2b9+e7WUQERERERERLQmZSgVNoxOaxnSVd21S1Z0ookAUUeMSEW59HYjFpGsgYEBXmAjvrFg93D7vfdpV595bbSIcxdFOH452+lLGr3KU4j//oun8H26Fy9cMgiEdZSSW+CAiIiIiIiIiymVSeNcITWNjyngyvHOJCIkuFLjdqD4rvDtbVJChOOhHQKnDpFJz3msp9/Vh8vgJqG0NkOl0Ka9974Uz6PEFk1V3DrMB1cU6yHOg8i5fMwiGdJSR0tLSbC+BiIiIiIiIKGvmDe9CoUTlnXumddYlItzRAXkshh+8/kPEAQxqC2b2u0ucOOsxWTCh1M57z9KXnkL7v70NAFBWVkp73jnsUNnseOmMDi7fVMr1aoUMtjJDomXWCLvZAKfFiJoVFt7lawbBkI4ykq+/QYiIiIiIiIgWIlOroVm1CppVq1LGk+Fd4qAKo1tEpUvE1ra3kpV3cQBDGlPKYRXT/z2m0qE20Jecb6qrC1NdXRj7058QEWRou/3bgCw11glFYjjV48epHn/KuCoR3jnM0o9rGsuwoarwonw/lkK+ZhAM6SgjZ86cQVNT/vXBExEREREREV2IecO7YHBW5Z0IoyiiXHRhS9tbQOJszziAEbURhqnJtHP36EsQkWUe6YQjMZzu8eN0IryTyYR5Q7qO4QlYCzRQyrN3wmq+ZhAM6YiIiIiIiIiILhGZRgPN6tXQrF6dMj4T3okIuUQY3VL77JS3IxneTTOGJ/GZo08mW2a9Riv8an3Gayh64hfoP2yE2m6Hym6HuqEBMq0W8Xgc737kDQSnoqgv1cNhnmmZdVgMqCvRQ6XIXniX6xjSUUYcDke2l0BERERERESUsxYM71pbEXK7k62zSlHEe9rfTgnvRlUGeE2WxImzM+2zPrVhzr0se17G0MtDMwOCAGVVFfyOtQiYbgAAtPSNoaVvLOV9CpmAulK91DZrkQ6rcFqMqCvVQa2QL9n3Il8zCIZ0lBGfz4fi4uJsL4OIiIiIiIgor8g0GmjWrIFmzZqU8WR4l6i8M7jdKBNFbGjfc1Z4p0eHMRHemSzoNJTBMj6cepN4HFMdHTgd1ABX3DDvWiKxOMT+MYj9Y3j+RG9yXC4TUFeiw7feux47G0ou+FmjsTj2tw3jZGsH1jbEsaO+eEUdeLFYDOkoI/39/aivr8/2MoiIiIiIiIgIC4R3k5MItbYinKi8M4giykQR6z1757TNnq1Hf2EHNkRjcbgHxqEXYmlfHwtF8K+vueGwGOAwG9FQpodGmVp598KJHnz96VPo8QWlgVe6UF6gwVdvX4Nb1pVf0LpWGoZ0REREREREREQ5QqbVQrt2LbRr16aMJ8M7UWqZnT64YqqzMxne3dq+B1d3vSO1yiYq76TWWSuGtAUL3leIxxB5z40QKyxQ2+xQ2+1QO6SfW5TF+OGr4swaBaC2RA974rTZyako/v2t9jlz9vqC+MwvDuPHd2/Ji6BOiMfPEaPSefH7/SgoKIDP54PJZMr2coiIiIiIiIiI5hWbnETI3YqwW0y2zibDu1nGlBp0GKYPqkjseWe0YlBXCACwjg/i31/6btp7/KF2Bx7a/IELWp8AwFqgwZv/97oV2/qaaVbESjrKyOHDh7Fly5ZsL4OIiIiIiIiIlpBMq4V23Vpo151VeTcxgVBrG0KiC2FRhEF0o0gUsdqzP+W6cYUaHUYLJhTqee/hNZgveH1xAD2+IPa3DeMy24Xvd7cSMKSjjExNTWV7CURERERERER0ich0uvnDO3crQm5RCu9cIgpFEVNdrnnnqgn0YXvvaXhMFvTrLuxQyv5A8ILet5IwpKOM8GRXIiIiIiIiIpLpdNCuXwft+nUp48nwThQT1XeJPe+6unCz9wBu9h4AAEzKVegwmuExWuE1WnCitB5niuvOeV+zUXMxHmdZYUhHGbFardleQkYmJyfxne98B7/+9a/h9XpRXFyMW265Bd/4xjdQWVmZ9fmIiIiIiIiIctG84d34eKJtVgrvQqIIk+iGs+MgACAKAR+7+csY1BQAwtw956b3pNtRn/vFQzw4Yonl6sER+/btQ1NTU7aXsaBgMIhrr70We/fuRXl5Oa666iq0t7dj//79KCsrw969e9HQ0JC1+YiIiIiIiIhIIoV3rQi5RLxwqg9fDFRJL8wK6qb/a6Wf7pppViS7hGsiuqi++c1vYu/evbjsssvQ0tKC//7v/8a+ffvwwAMPYGBgAB//+MezOh8RERERERERSWR6PbTr16Pwzvfiz+7/NP71z7eivFCbco21QLPiA7rzwUq6JZarlXSDg4MoLS3N9jLmFQ6HYTab4fP5cPjwYWzevDnl9Y0bN+LYsWM4ePAgtm7desnnIyIiIiIiIqKFRWNx7G8bhrt7ALaKMuyoL4ZcNrcFdqVhJR0tqfHxcQDAo48+CkEQ8JnPfGbea9///vdDEAQ8/fTTl2p5eOutt+Dz+WCz2eYEagBw1113AUDGa1rq+YiIiIiIiIhoYXKZgMtsJbiqRovLbCU5EdCdD4Z0lJHe3l4AwOWXXw4A2L9/f9rr/vjHP+Lxxx/HLbfcgttvv/2Sre/o0aMAgC1btqR9fXr82LFjWZmPiIiIiIiIiDIznUHkG4Z0dF5WrVqF4uJiHDt2DJOTkymvRSIR/NVf/RWUSiUeeuiheefYtWsXBEE4rx+PPfbYguvyer0AgKqqqrSvT497PJ6MnnOp5yMiIiIiIiIiWogi2wuglWH79u0AAEEQsHPnTjz33HM4fPgwrrjiiuQ1P/zhD3Hy5El84QtfQGNj47xz3XLLLairqzuv+9vt9gVfHxsbAwDodLq0r+v1egBAIBDI6H5LPR8RERERERERZWY6g8g3yzKkm5iYwIsvvoinn34ab775JjweD+RyOex2O973vvfhvvvug8FgSPvexx57DP/yL/+CU6dOQaVSYefOnbj//vuTbZrpvPXWW/jWt76FvXv3IhwOY82aNfjsZz+Lj3zkIxfrEVecY8eOYdOmTQCkltfnnnsO+/btS4Z0/f39+NrXvgar1Yq///u/X3CuL37xixd7uURERERERES0Qs3OIPLJsmx3/a//+i+8973vxc9+9jPI5XK85z3vwVVXXYW2tjZ89atfxfbt29Hf3z/nfffeey/uuecenDhxAjfccAN27NiBl156CVdffTV+97vfpb3XE088gWuuuQYvvPACNmzYgFtuuQUulwsf/ehH8YUvfOEiP+nKEQqFkv89HXju27cvOfbFL34RPp8P3/3ud2E0Gi/5+qZD24mJibSvTx98kenalno+IiIiIiIiIsrM7AwinyzLSjqlUon//b//N+69916sXr06Od7T04Nbb70VR44cwb333ov/+q//Sr728ssv4+GHH0ZJSQn27NkDh8MBANizZw927dqFe+65B7t27UJhYWHyPcPDw/j4xz+OaDSKJ554AnfeeScAoK+vD1deeSUeeOAB3Hbbbdi1a9clee7lKDIVwRt/2IszLe2YGJjCVTfvxI4dO6BQKJIh3f79+/HYY49h586dGVUffve738WZM2fOax2f+MQncOWVV877ek1NDQCgs7Mz7evT47W1tRndb6nnIyIiIiIiIqLMzM5u8smyDOk++tGP4qMf/eic8fLycvzoRz/C5Zdfjt/+9rcIh8NQqVQAgAcffBAAcP/99ycDOgC47LLL8OlPfxqPPPIIHn30UXz+859PvvbTn/4Ufr8fu3fvTgZ0AGCxWPC9730Pd955Jx544IG8Del++4sX8O1DoxhUGwEUAf0+lL7yOP5uayE2bNiAw4cPo6enB5/97GcBAI888ggE4dzHI7/wwgv405/+dF5r2bVr14Ih3caNGwEAhw8fTvv69PiGDRsyut9Sz0dEREREREREmamurs72ErJiWba7LmQ6PAmFQhgaGgIATE5O4o9//CMA4K677prznumxp59+OmX82Wefnfc9t956KzQaDV5++WUEg8Gle4AV4re/eAH3HY9gUJW699+gyoD7jkdgKakEAHzmM5/BgQMHcM8992S8seNrr72GeDx+Xj8+9rGPLTjnFVdcgYKCArjdbrzzzjtzXn/88ccBALfffntGa1zq+YiIiIiIiIgoM8ePH8/2ErJixYV0ra2tAKSW2OLiYgBAc3MzQqEQysrKUFVVNec9W7ZsASBtPDjb0aNHU16fTaVSYd26dQgGg2hpaVnSZ1juIlMRfPvQqPTF2ZVxia+PK20AgKeeegoFBQX4zne+cwlXOJdKpUpW9P3lX/5lcs84QKqyPHbsGK655hps3bo15X0f+chHsGrVKjz55JNLMh8RERERERER0YVYlu2uC3n44YcBALfccgvUajUAwOv1AkDagA4A9Ho9CgsLMTIygkAgAKPRCL/fD5/Pt+D7qqqqcPDgQXg8nnnbGkOhUMqGhn6//8IebBl54w97Ey2u8xAExGtmvh/are/DJ3/8NhxmAxrrLWhssKDRaoLZqM6o/XWp3H///Xj55Zfx9ttvw+Fw4KqrroLH48G+fftQVlaGn/3sZ3Pe4/V60dzcnPy1sNj5iIiIiIiIiGhx6uvrs72ErFhRId1zzz2HRx99FEqlEt/4xjeS42NjYwAAnU4373v1ej1GR0eTId30exZ6n16vBwAEAoF55/3Od76Dr3/963PGDx48CL1ejy1btuD06dOYnJyE0WhEfX19sqKvtrYWsVgMHR0dAIBNmzZBFEWMjY1Br9fD6XTiyJEjAKTAUC6Xw+PxAJD2Qmtvb4ff74dGo8HatWtx6NAhAEBFRQU0Gk2y6nDdunXo7OzE6OgoVCoVNm3ahP379wMArFYrDAYDRFEEAKxevRrNrnYARfM+MwDEp6RgUllSDdXW3Tg6KcdRTwjweIHXpNDUgAgqZUF8uHIK77qpCWMKRfJU3qamJhw+fBhTU1MoKipCRUUFTp48CQCw2WyYmJhAT08PAGDbtm04ceIEgsEgCgoKUFNTkyx9raurQyQSSR7k8OKLL+Jv//Zv8eyzz+LJJ59ESUkJbr31VnzqU5+CVqtFT09PMtTduHFjskKus7MTU1NTyb3mqqqqoFAo8I//+I/4+c9/jtdeew1PPvkkTCYT3vOe9+CRRx5Bb28vBgYGUF5eDp1OB7fbDQBYu3Yturu7MTIyAqVSiS1btiQP2bBYLDCZTHC5XMnvd39/P4aGhiCXy7Ft2zYcOHAAsVgMZWVlKC4uRnNzMwDA6XRiZGQEAwMDEAQBO3bswKFDhxCJRFBcXAyLxYLTp08DAOx2O8bGxtDb2wsA2LFjB9555x2Ew2EUFhaiqqoKJ06cAAA0NDQgGAyiu7sbALB161acPHkSwWAQJpMJdXV1Kb9mo9Fo8vu9efNmtLS0YHx8HAaDAXa7PdkeXF1dDZlMlvJrtq2tDYFAAFqtFqtXr05+vysrK6FSqdDW1gYAWL9+PTo6OjA6Ogq1Wo0NGzbgwIEDyV+zer0++f1es2YNent7MTw8POf7bTabUVBQkPx+r1q1CoODgxgcHIRMJsP27duT3+/S0lKUlpYmDzVxOBzw+Xxpf80WFxfDarXi1KlTyV+z4+Pjye/39u3bcezYMYRCIRQWFqK6ujr5a7a+vh7hcBhdXV0AsCI/I/r6+jA8PAyFQoGtW7di//79iMfjKCsrQ1FRUbL6uLGxEcPDwxgYGEh+vw8ePIhoNIqSkhKYzebkr1mHwwG/34++vr6L+hmxZcsWnDlzBhMTEzAYDLDZbMmq6ukDY2Z/RrjdboyNjUGn02HVqlVzPiPa29uTv2a9Xi98Ph80Gg3WrVuHgwcPAgA/I/gZwc8IfkbwM4KfEfyM4GcEPyP4GcHPiPP8jAiHwzCbzTnzGVFUtHDGMk2Ix+PxjK7MsjNnzuDyyy/HyMgIHnroIXzuc59LvvZf//Vf+PCHP4wrrrgCb775Ztr3V1VVoaurC11dXaioqEB3dzcqK6V91aampqBQzM0r7777bvzyl7/EL3/5S3zoQx9KO2+6Srrq6mr4fD6YTKbFPHLWvPrMm7jnzbmVZbP1P/51TLoPwPyBb0Bbv3nBa7//+g+xdrgd8oICqBx2qO12qG12CA02PD5mgLNOqryzmC5t5R0RERERERERLT/79u1DU1NTtpexZPx+PwoKCs6ZFa2ISrquri7ccsstGBkZwX333ZcS0AGAwSAdbjAxMTHvHNMVU0ajMeU90+9L9006+z3pqNXqZNttrrjq5p0ofeVx6dCINKHZ2NEXMek+AEPjFecM6ACgJiCl1VGfD5MHD2HyoJSwt5nK8a3rPg9gpvLOpgPsZXqsarCgsd4Cp4XhHRERERERERHlvmUf0g0PD+Omm26Cx+PBPffcg+9///tzrpkuLZ4uMTzb+Pg4RkdHUVRUlAzcTCZTMsXs7OzEmjVr5rxver7a2tqlepwVQaFU4O+2FuK+4xEgHgcEAVODHfAfeBIRfz+C7UdRWlyKfd/5PMZ6+tDsGYA4OAF3WAGvrhReowVBhRRcFk/6YJyaTHsfj9GS8vUYFDg6gZm22VfThXdWrGqwwGE2MrwjIiIiIiIiykHpDvjMB8s6pBsbG8O73vUunDp1CnfeeSd+8pOfpA1lGhsboVarMTAwgK6urmQb67TpXvSzD3/YuHEjXn/9dRw+fHhOSDc1NYUTJ05Ao9HA6XQu8ZMtf3fefQvwixfw7UOjGFQbEfQexdixFyFX6bB9SxN+9T+/QINNOuF1+rsaj8Uw1dWFyRYXPGfa0eLth29kEIJGg3gwOOceXpNlzlg6qeGdB3hV6oP/rfoY6pw1UNsdUNttUJSULMmzExEREREREVH2nD59et4DPHPZsg3pQqEQdu/ejf379+Pmm2/Gr371K8jl8rTXarVaXHfddXj++efxm9/8Bvfee2/K648//jgA4Pbbb08Zv/XWW/H666/j8ccfx913353y2jPPPINgMIjbbrsNGo1m6R5sBbnz7lvwng9G8MYf9uJowTZs/Ks3cNXNO6FQpv9lI8hkUFVXQ1VdjQ3XzwrvolFMdXUhJLoREkWERBdCooiiqSCcI96UyrtMaaeC0Pzu5+ibNSYvKoLabsexhs34ibwBjjIDGhssWFVvgdPCyjsiIiIiIiKilWByMn1HXq5blgdHRKNRvP/978eTTz6Jq666Ci+88MKCJ7cCwMsvv4wbb7wRJSUl2LNnDxwOBwBgz549uPbaa6HVatHW1obCwsLke4aHh1FfXw+/348nnngCd955JwCgv78fV1xxBURRxKuvvopdu3ZlvPZMNwNcaU6dOpW2JXgxpsO7SZcL3tPtOOMdgGtoEm0hOTz6sgXDO+eIFw//6ZG0rz1u34VH1902Z9yACBp0SAnvHBYDrCYNwzsiIiIiIiKiZeJiZBDZlGlWtCxDuocffjhZDffe97533gf4/ve/j9LS0uTX9957Lx5++GHodDrceOONCIfDeOmllxCPx/H444/jjjvumDPHE088gQ984AOIx+PYtWsXSkpK8PLLL2N0dBT33XcfHnjggfNae66GdJOTk9BqtZfkXnPCO88AXMOp4d1VXcdw35H/Tvv+B7Z8EC/XbM/4fnpE0aCLw1lmwFpHOT5+Q+58EBARERERERGtNJcyg7gUVnRI97WvfQ1f//rXz3ldW1sb6urqUsYee+wx/PCHP8Tp06ehUqmwc+dOfOUrX8Hll18+7zxvvfUWvvnNb2Lv3r0Ih8NYs2YNPvvZz+KjH/3oea89V0O65XD8cTwaxVRnJyZdLvhcbZC3Sm2z4dZWxEOh5HWfu+av0FJUc0H3qA704dF3fga1zQa13Q61ww613Q6V3Y5BmRZxxFl5R0RERERERHQRLYcMYimt6JBuJWNId+lNh3chUUTIJeIt9yBODYUSlXdmeI1mTCoz21fwiu5juH//z9O+9q/b/wxPVW6bqbwzG9DYYEVjnRlOts0SERERERERLYnlnEFciEyzomV7cAQtL7W1tdlewrwEuRyq2lqoamthvP567AawG4nwrqMDQZcL3mYPzngGIA5NonWB8K7G35f2HgDgUUq/kcYhx/EJ4Hh7EGhvB9AOYLptFnCa9XDWW7GqnuEdERERERER0flazhnExcSQjjISi8WyvYTzJsjlUNXVQVVXh3U3AusS4/FIBFOdnYnwrh1n2gcgDgfRGpJj/VDrvPN5TNYF7zcnvHu1HYAU3r2nNIqv7KqG2m6HfNbhJURERERERESUaiVmEEuBIR1lpKOjAxUVFdlexpIQFIp5w7twR4e0z53bjZBLTO55Nx6XIShXXdD9xiHHxL634Pnp3wEA5GWlUNukve7UdjueEMoRKyqBs7YMTosR5QWsvCMiIiIiIqL8lUsZxPlgSEeUICgUUNfXQ11fD9x4Y3J8Orzb63KhY3blXViR8Z53tbPaaKMDg5gYGMTE3r0AgH+//m/RZQxgum1WhyhsOsBhNmCVzQpnTSnDOyIiIiIiIqIcx5COMrJp06ZsLyFrZod3BTedVXnn7UDQ1YKOFg+a2wfgGppE65QSHn0ZvEZLMryrCaTf6y4sU6DHUJoyNpFsm50E2tsAtAGYFd5ZDFjVIIV36ysLUGJQX6xHJyIiIiIiIrrk8jWDYEhHGRFFEWvXrs32MpYVQaGAuqEe6oZ6FNycPrzzNrejxTOAVWU6CAEl4lNTKXN0GcoQE2QZ3S8Z3rVNAm1SePd/Asfwkcq41D7rkNpn5YmTYuLxOCvviIiIiIiIaMXJ1wyCIR1lZGxsLNtLWDFmh3frbwbWJ8al8M4r7XXnFhEWReg8g7ix4yC8Z1XeZcp6fD9GXjmTMqYwm6G023CX5T0o18rgsBjR2GBBI9tmiYiIiIiIaAXI1wyCIR1lRK/XZ3sJK54U3jVA3dAA4CYAQCWAa6amEO7oQLDFBW9zG5o9g9Ked1PTe97NH97VBnrnjEX6+9E1NoXBm96HwQngeNtEsvIOmN02y/COiIiIiIiIlp98zSAY0lFGnE5ntpeQswSlMhnerb9lVuXd1BTCXq8U3rW0o9kzCPfwJNxTSnj0ZgxqC1A2OZp2To/ROu/9Ztpm04R3esBhNuIzN6+Bo86ytA9KRERERERElIF8zSAY0lFGjhw5gqampmwvI68ISiXUNhvUNhvWvyt9eBd2fBYhUUTYLSLU1g5EIgAAj/H8A7YJyHF8XArvbnz/nwG6ONR2aZ87ld0Gtd2OSE09Dg2G4bQYUcHKOyIiIiIiIroI8jWDYEhHtMLMDu9mi09NIezxICSK+LPmNqz1HIZraBJtUyp4DGXwGK0Z7Xkni0VROTaASCCKSF8fxt96K/naiZJ6/M1VfwlAqrxr0Atwmg1obLDCWVPC8I6IiIiIiIjoAjGko4xUVVVlewl0DoJSmax8M90CTBcHx8NhqfLO5YL3TDtavINwDU+idUoFb5rwrnJ8EMp4NO09ZrfRTkCOE+PAibYJoK0VQCuA1PDO2WBFY00JHGYDKgu1DO+IiIiIiIjonPI1g2BIRxmRy+XZXgJdIEGlSoZ3KW2z4TDCHo8U3jV7kuGdfHBg3rm8RvM577dQePfKlikUNtqhstkgNxiW4OmIiIiIiIgo1+RrBsGQjjLi8Xhgtc5/GAGtPIJKBbXDAbXDgfXvnhvehUQRIZco/ex2I9zejrggQDc1iQml9rzvp50MYPTvv4nRxNeK8vJkeHiozIGXpgrRyMo7IiIiIiKivJevGQRDOiJKMTu8w7tmxuPhMP6pvR0hlwsdLR40ewYhJtpmPUYzvEbLguFdTaAv5etITw8iPT0Yf+MNvL76FjzZeEPatlmHxYDGeisaq0vgsDC8IyIiIiIiotzEkI4ysmHDhmwvgbJMUKmgcTqhcTpRcCuwLjEeC4cRToZ37YnwLjgnvKv19807d7rTaJNts60TQGtqeFevF+BMhHfr6spwpaP0IjwxERERERERZUO+ZhAM6Sgj7e3tWL16dbaXQcuQbKHwrq0dQZcLna52TE3EoBqvR9jrBaKpB1N4TZmXMU9AjpPjwMlEeLdq7C38W3g/1HaH1D7rsEPd0ACZXo+JcARapZyVd0RERERERCtIvmYQDOkoI36/P9tLoBVGplJB0+iEptGJwlnj0+FdSHQhJIoIiyLuGD0D91AbPAYzPKaF22bPVjPkxfiRNzD++hsp48qKCvzTxvfjDXVFovLOiFUNFjir2DZLRERERES0nOVrBsGQjjKi0WiyvQTKEbPDu2l/g+nwrg3BFhGdrja0eAchDgXRGlHBY7DMG97N10Y71d2NVgcwoZ6uvBufp23WKB1YUVUMh8WAigItZDKGd0RERERERNmSrxkEQzrKyNq1a7O9BMpxUnjXCE1jIwoxq202FEK4vV0K71pa0ewdgntYCu+8BjNsvq6088UgwJtmr7tpM22z40CrG4AbAKBFDA164M41pbjnXRsh0+mW9DmJiIiIiIhoYfmaQTCko4wcOnQITU1N2V4G5SGZWj1/eNfWhpCrDiG3KLXOukSEOzqAWAz9uiKEFKrzvt8kZDg5Dmz6z1+j+csfh7KqCmqbDWqHHSq7HWq7Ay9O6GA06eAwG1FZyMo7IiIiIiKipZSvGQRDOiJakWRqNTSrVkGzalXK+HR4V94i4plk5d0kWqNqeAwWeE0WjGew511Noo12qrMTU52dGPvTn5KvffWWr2JUYwQgVd7V65HY884KZ1URwzsiIiIiIiI6bwzpKCMVFRXZXgJRRmaHd4WYVXkXDEp73rmkttkW7yBcw0G0RdTwGs3wmKwp4V1toDft/D6VLhnQAVLl3alx4FSybVYitc0KcFgMDO+IiIiIiIjOQ75mEAzpKCP5umkj5Q6ZRgPN6tXQrF49b3jX1exGs3cIrpEgKsaH0s7jNVozut902+zJs8K7Lxt68YH1pVLrbEMDZNrMT7IlIiIiIiLKB/maQTCko4y0trairKws28sgWnJnh3fT25PGgl9HuLUVIVFESHQnfhYRnxCwZqhtTuVdpkqe/Q26f+GRvhAEKKurobbZAJsDnw46YDdLbbONVYWsvCMiIiIioryUrxkEQzoiojRkGg00a9ZAs2ZNynjD5CR2T7fNNrvR0jEI13AIbVEVvEbLOcO76rG+mS/icUx5vZjyeuE+3IyT196Hk2NjeKpVTF6iFWJo0AlwWI1orGd4R0RERERElKsY0lFG1q1bd+6LiPKATKtNhneFmNU2OzmJUGsrQi4RXS0imjuGIA4H0RpVJ8M7TSQEw1Qw7bweoyXt+GQ80TbrHgPcZ4V3egEOixTefWBnHUoM6qV9WCIiIiIioizI1wyCIR1lpLOzE42NjdleBtGyJdNqoV27Ftq1a1PbZmeFd4OuDqh37ULI7cZUZycQjyff750npJvPZFyGk2PAyTEpvNv00N+hqrYcarsdarsNarsdqoYGTEKO4fEwK++IiIiIiGjFyNcMgiEdZWR0dDTbSyBakc4O76bFJiYQam1DSHQh7Hbj5tZ+lHhfQ1tUDY/JCq/RgjGVLqN76KYmUSCewph4CmOvvDLr5jIcXHsVvmK7HZrp02an22YrC+G0sG2WiIiIiIiWn3zNIBjSUUZUKlW2l0CUU2Q6HbTr1kK7Tqq5uy7xYzq8C7pc6HG50OwZhGsktGB4VxPoQ9qYLRZDa1AGAAhChlPjwKmz2mY1Z+95VynteVdVxPCOiIiIiIiyI18zCIZ0lJFNmzZlewlEeWF2eFcEYPrYitjEBELuVgRdInrE1PDOOjE873znaqMNxtOHd2rE0GiU4b/fZ4O6vh4yNfe7IyIiIiKiSyNfMwiGdJSR/fv3o6mpKdvLIMpbMp0O2vXroF2/LjW8Gx9PtM3ehJDoQkgUERbdmOrqAgD064ou6H4hyDDa1Yv2O74AyGRQ1dRA7bBDZbdDbbPjiL4Cp2I6NFaw8o6IiIiIiJZWvmYQDOmIiFYwmV6fDO9mk8K7Vvy8RUS32IJm7yDcwyG0xjQZ73lXG+hLTBZDuL0d4fZ24KWXAQBPbHgvnm64InmtRoihQS+TTpttsMBZLu15x/COiIiIiIgoMwzpKCNWqzXbSyCi8yCFd+uhXb8eRZh12mwivAu2iOh2JcK7kfThXc10SJeG56w22mBchlNjwKmxAOAOJMfVifDOOSu8W1VuRFVRZodiEBERERFR/snXDIIhHWXEYDBkewlEtATmC++iY+MIt7ql8C5ReVcU7px3nnPtdTctFJfh9BhwelZ4tyMyiB/V+KC226Gy2aGqr4MsTzeGJSIiIiKiufI1g2BIRxkRRRElJSXZXgYRXSRygx7aDRug3bAhbXgXcokIidKP8dZWXN5zAh6jBR6T9Zxts2erbD+JwWeennVzOVS1tVDb7fhGyWXwyo1wWoxY1WCBg22zRERERER5J18zCIZ0REQ0r9nh3Wz/PDaOsFuUTpt1NaPZOwhxJIS2uPac4V3t2W200SjCra0It7bi+A2b0W0w4vRYAE/N1zZbb4GzguEdERERERHlFoZ0lJHVq1dnewlEtIzIDXpoN26EduPGlNNmo2NjCLvdUnjXcgbNHYMQR8Joi2vhNVrgMVlQ4+9NO2dIpkCPPv2/lqVrmwVmwjuHxYj3XmbHtesqlvhJiYiIiIjoUsvXDIIhHWWkr68PJpMp28sgomVObjDMH96JUuVdqOw6hN1S62ykdyaw6zCaERdk53W/2eGd9fffQE2sA2q7XfrhsENts0FVW4u9HQFUFGpQVaSDnJV3RERERETLWr5mEAzpKCPDw8PZXgIRrWBygwHaTZug3bQpZTwaCCDsdiMkitC0tOIH3jeltlnokpV3AZU+o3vU+LoR7ncj7HYj8Ic/zNxDocRH3/0NhGUKqIUY6vUyOK0mrKq3wFFeAKfFgOoiHdtmiYiIiIiWiXzNIBjSUUYUCv5SIaKlJzcak+FdIYD6xHg0EEAoUXnX6zqdaJudDu+sacO7Gn/f2dMDAPpUJoRl0mdYKC7DmTHgjOjH70V/8hqGd0REREREy0e+ZhBCPB6PZ3sRucTv96OgoAA+ny8vSzOJiC6mqN+PUGLPu15XO5q9QxBHQ+iIqfHp408hXZy217oGX9/58Qu6n1qI4eH1Clzb5ISqpgaCUrm4ByAiIiIioryTaVaUn9Eknbf9+/djx44d2V4GEeU5uckE3ebN0G3ejGLM2vPO70dI/CBCoktqn3Ul9rzr78eEQgNTaBx+dWZts7OF4jLgB/+I1kAfoFRCXVcLVWLPu8laO/6pV4dVdeZE5Z0R1cXc846IiIiIaLHyNYNgSEcZYcElES1ncpMJui2boduyOWU86vOh1t2K/+Vyocd1Eq6OIbhGQmgT9PAaLfAarQuGd4pYBJVjA9IXU1NS+OcSEQBwrKQBT1/1f/B0mrZZx3TbrNXE8I6IiIiI6DzlawbBkI4yUlZWlu0lEBGdN3lBQTK8KwawNjEe9fmkttkWET1iIrwbDqFNlhreVY4NQhGPpZ3ba7LOGZu959184V1jnQXOchOudpZBo5RfhKcmIiIiIlrZ8jWDYEhHGSkqKsr2EoiIlowU3m2BbsuW+cM710kMDHZBUVaGyMDAnDm8RkvG90sX3r0Y/hOK7HVQ2+1Q2x1Q1VRDUCgQjsQglwmsvCMiIiKivJWvGQRDOspIS0sLmpqasr0MIqKL6uzwblp0dBSh6b3u3G6ERBe2Dvci1vo2PKZzt82erXRiFNEXn8bgrDFBqYSqvh6vOa/APypXo14vT1TemeEsZ9ssEREREeWPfM0gGNIRERGdg7ywELqtW6HbujU59jEAf54I74ItInpdJ9DcOQRxJIR2wbBgeFcb6J0zFp+aQqilBWcUNoSca3FmLI4zog9Pi77kNVLbrBx2qxGr6i1wWk1wWIyoYXhHRERERLTiMaSjjDQ2NmZ7CUREy87s8G72abORkRGE3W4EXenDu9XDnnnnXKiNVmqbjeOM6Mczs/a8UyGOeoMMm2sK8Z0PN0GQc687IiIiIlq58jWDYEhHGRkeHkZhYWG2l0FEtCIoioqg2LYNum3b0oZ3IdGMkMuMkCi1z0YHZxpfPca5B1KcSxgCmsfikL9xGM3f/wxUDQ2Jve5siZ/tOB43YGgiwso7IiIiIlr28jWDYEhHGRkYGEBDQ0O2l0FEtKLNDu9mi4yMICyKCIkiHnV50NJxAuJICG0yI7wmCzxGC/xqwznnrwn0IR4OI3TmDEJnzqS89qPtH8YfKzcDANSCVHnnsJjQWG+GwyrtecfwjoiIiIiWg3zNIBjSUUZkMlm2l0BElLMURUVQbN8O3fbtKMJZlXeJ8K635RiaO4YgjobRLjPAY7LOCe9qAn3z3sOjnznGPhQXcCYQx5lA6p53022zznLpwAqGd0RERESUDfmaQQjxeDye7UXkEr/fj4KCAvh8PphMpmwvh4iIclBkZAQhlwshUUSfyyOFdyMhrPMeR22aoC4KAXfe/m2E5coLut9N+gk8cEUJ1DYblFVV3POOiIiIiOg8ZJoVsZKOMnLw4EFsO6s9i4iIskNRVATFjh3Q79iBYgCrE+OR4WFpnztRlCrwXNKed4HAJBpHvBm3zZ7NfPANdP7yJQCAoFZDZUvseWez4zvhGoR0BqnyzmKC02JAbYmelXdEREREdMHyNYNgSEcZiUaj2V4CERGdg6K4OBnezRYZHsavXSJCogt94lE0exNts3IjPCYrvEYLfAuEd7PbaOOhEEKnTiN06jQA4KV3fQ1+dRTPuGa1zU7veWeV2madVhMcZoZ3RERERJSZfM0gGNJRRkpKSrK9BCIiukCK4mIomnZA33RW5d3QEEKiGyHRhV7XO3B5h+AaDaNdYYLXaIHHZIVPbUCtvzftvKMqfdrKvHBcQHMgjuaAb57wrgCNdWW4ca0Vq6zcGoKIiIiIUuVrBsGQjjJiNpuzvQQiIlpiipISKEpKkuFd8sCKoSGpVVYU0Su+A82qWkTEMKKjoynv95qs53W/mfBuFM+4RiH/z5/BZIlDZbdL7bN2O5SVlRBkMniHJlBRqIFCnp+bBhMRERHls3zNIBjSUUZOnz6NpqambC+DiIgugWR4t7MJxYmxeDyOaLLyTmqdrW/rwmebn0O7siCl8i5T5c1H4NvrTRkTtFrEbQ682/bnUMqAOr0MzvICOGvL4LRKe97VFOsY3hERERHlsHzNIBjSERER0TkJggBFaSkUpaXQ75T+wFQOYHsyvJMOqugVj6ClYwjiSBgeZQE8C4R3NWlOoo1PTkLsGELcLiAcB1rG4mhxjQKu0eQ1KiGOOoNcCu0Y3hERERFRjmBIRxlxOBzZXgIRES1DqeHdzmTbbDweR3RwECG3WwrvXEfQ0jkT3o2qDdBFQmnn9BotC94zHBfQEoihJTCaNrx74FYH1m1ogCBjYEdERES0EuVrBsGQjjLi9/tRXFx87guJiIiQCO/KyqAoK0sf3okiQq5qKcQTpf3vYj7pkIke/YVtFDwd3o1+7MNolkWgbmiQ9rpzSPvdjVhq8WRnGE6rEQ6LEbWsvCMiIiJalvI1g2BIRxnp6+tDXV1dtpdBREQrXEp4d9llyfHZ4d19LhEfdh1GS9cwXInKO6/RAo/RglGNccH59VOTKAn6EQcQPHECwRMnkq/tsa7FgzvvSX6tnNU221hnhtNiYHhHREREtAzkawbBkI6IiIiy7uzwrhjAakjhXWRgAGFRREh0o891GC2dQ3CNhuFRFs4J72r9vRDmuYfHlNpGOxUX4ArE4AqM4tlZbbPKs/a8a7QaYTcb0VCqh0w23+xERERERIsjxOPxeLYXkUv8fj8KCgrg8/lgMpmyvRwiIqKclBreiehraUdL1zBCXd1Y7z2e9j3f2/q/8Gr11gu6nwIxvGUfgN4ptc4qysshCAzsiIiIiOjcMs2KWElHGTl8+DC2bNmS7WUQEREBkCrvlGYzlGYz9Jdfnlp51z+AkOhCOHFoxfSedw2+HgxrRHiNZoxozu8f0qp8fRj+/gMYTnwt0+mgskuB3bOl6/A/k4VwlpvgrJEq79g2S0RERHTh8jWDYEhHGZmamsr2EoiIiM5JEAQoLWYoLWbgiiuS4/F4HF+cDu9EEX2ug2jpHJHaZlUF8BqtC+55VxPoTfk6NjGB4LFjCB47hnc2AK6Gy6W22ZbR5DXJttnyAjhrSpNts3UlDO+IiIiIFpKvGQRDOspIUVFRtpdARER0wc4O71Ir7/oRcokIu0X0uZrR0jEshXfqwmR4VxPon3du71l73U2b2fNuBM+2jCTHZ4d3O1aV46OX1y/x0xIRERGtbPmaQTCko4xUVFRkewlERERLTgrvLFBaLMCV6cO7kOjChN6EqHYTQqKI2NhYyhweY/qQbj6zw7v+t/fjmof3QuWwQ22T2mfVDjsUFgtc/WOQCQIr74iIiCjv5GsGwZCOMnLy5Ek0NTVlexlERESXxOzwznDlFShJjMfjcUT6+qTwzi0i6BLxzY634PKF4VEVwmOywmu0ZLznXfVIFyZPHsXk0aMp4zKDAV+7/BPYo6ua0zbrtEh73jG8IyIiolyVrxkEQzoiIiKiDAmCAKXVCqXVCsNVVwIAKnFWeCeK6Hfth6tz5JzhXW2gL+19YmNjaItrAczfNqtAHPXGueFdbYkOSoZ3RERERCsOQzrKiM1my/YSiIiIlq2zw7sSzGqb7e1NnDDrRr9rP1o6h+EenUK7uhCNI9608wXlKvTpFt6LJYL5w7tPOjS477b1UJjNEARhCZ+UiIiI6OLL1wyCIR1lZGJiIttLICIiWnEEQYCyvBzK8nIYrroqTXh3a7L6LuQWEXaJiE1MYEhjQmFoLOO22dkiEBB74r8h/tP/B5nRKO1zZ7dBbbdDZbfjoW4NjEVS1Z3TYkBtiZ6Vd0RERLSs5GsGwZCOMtLT04OamppsL4OIiCgnnB3eTYvH44j09KBaFPGy6Ea/6wxauobhHg2jXV2U8Z530220sUAAk0eOYPLIEQBAFAJ+fvu3EZYrk9cqEEddom22saaU4R0RERFlXb5mEAzpiIiIiJYJQRCgrKiAsqIChquvTq286+mRKu5cIgZcp9HSNQLRJ4V3XqMFHpM1Gd7V+nvTzt+rL0kJ6ACp8k4MxCAGRvDcWW2zZ4d32+uKUWZUX6zHJyIiIsprQjwej2d7EbnE7/ejoKAAPp8PJtP5t6gsV9FoFHK5PNvLICIiolnisdhMeCe6MeBqR0vXEBwn9wJp2kT2WNfiH3bec8H3+47ChZudJVDbbVDZ7VCUlUEQBClEjMVZeUdERERLItcyiEyzIlbSUUZOnDiBjRs3ZnsZRERENIsgk0FZWQllZSUM11yDEgCrcHZ4J1XfhdxumPvHsdv9hlR5Z7RgWFtwXvcreeG36Ht8IPm1rKAAarsd4w2N2D21GXVGBRzlBWisLoHTaoTDbEBdKdtmiYiI6PzkawbBkI4yEgwGs70EIiIiytDZ4d20ulgMN3X3ICS6EHa7pbbZzmGIvil4NMXwGC3wzhPeKWIRVIwPpYzFfD5MHjqEYx4fIldugRiIQgwM4/mW4Zn3IY5ao0Jqm60uSe55x/COiIiI5pOvGQRDOspIQcH5/Us7ERERLT+CTAZVVSVUVZXArl0plXdT0+GdKGLAdSqx591MeAcA8ngs7bzexOvpRCDAHYjCvUB497X3bYKlQLuUj0pEREQrWL5mEMs2pDt06BBeeukl7N+/H/v370dXVxcAaePkhTz22GP4l3/5F5w6dQoqlQo7d+7E/fffj8svv3ze97z11lv41re+hb179yIcDmPNmjX47Gc/i4985CNL+kwrWT6eqkJERJQvFg7vuhFySZV3obLdUvtsayvik5PJ93tM84d085kd3n363Tdjsr4GarsdarsDarsNarsd/Qodjnh9rLwjIiLKM/maQSzbgyPuuOMOPPXUU3PGF1ruvffei4cffhharRY33XQTgsEgXnnlFcTjcTz++OO444475rzniSeewAc/+EHEYjFcffXVKC0txSuvvILR0VF8/vOfx/e///3zWneuHhyxb98+NDU1ZXsZREREtAzMDu9CooghsQ3NnaNS5Z22GF6jNeM978wTw/iPF7+d9rU/Nl6Ff1q9G8CsyruKRNusmW2zREREuSrXMogVf3DEZZddhg0bNmD79u3Yvn076urqEAqF5r3+5ZdfxsMPP4ySkhLs2bMHDocDALBnzx7s2rUL99xzD3bt2oXCwsLke4aHh/Hxj38c0WgUTzzxBO68804AQF9fH6688ko88MADuO2227Br166L+ahEREREK4pUeVcFVVUVjNdei1IAjUiEd11diYMqRAyKJ9HSMQzRH4FHW5L2wIpaf9+892mTz/whNll51zyM55vTtM1WFMBZVQKnxQiHxYC6Ej1UCoZ3REREtHIs25Du//7f/3te1z/44IMAgPvvvz8Z0AFS2PfpT38ajzzyCB599FF8/vOfT77205/+FH6/H7t3704GdABgsVjwve99D3feeSceeOABhnQA6urqsr0EIiIiWuYEmQyq6mqoqqthvE4K71YBiEejico76bTZAfEEXJ0jEP0RFI6NzDufN4M22vnCu2JFDG/cboHaYYeiuHgJno6IiIgulXzNIJZtSHc+Jicn8cc//hEAcNddd815/a677sIjjzyCp59+OiWke/bZZ+d9z6233gqNRoOXX34ZwWAQGo3mIq1+ZYhEItleAhEREa1Qglw+J7xbjUR419Ul7XMnuhESpfbZsLsV8VAIpvA4SiZ9GMqgbfZs1j4PvB/9WwCAvLgYapsNaocdKrsdT8srsXdCDWdVMZyJ02ZrWXlHRES0bORrBpETIV1zczNCoRDKyspQVVU15/UtW7YAAI4dO5YyfvTo0ZTXZ1OpVFi3bh0OHjyIlpYWbNiw4SKsfOXo7OxEZWVltpdBREREOUSQy6GqqYGqpgbG665Ljk+Hdz8QRYRcicq7rmG4fRG066S2Wa/RumB4V+vvTf53dHgYE8PDmDhwAADw6tYP4bXqLXi+eSh5zXTbrKOiEI2J8I5ts0RERNmRrxlEToR0Xq8XANIGdACg1+tRWFiIkZERBAIBGI1G+P1++Hy+Bd9XVVWFgwcPwuPx5H1IR0RERHSpnB3epVTedXYmK+8GxeNo6RyBO7Hnncc0E97VBubf6y5dG+1M2+wQXjgrvKsxKuBMhHfb6opwlaPsIjw1ERER5bucCOnGxsYAADqdbt5r9Ho9RkdHkyHd9HsWep9erwcABAKBeecNhUIpB1r4/f7zWvtKka7akIiIiOhSEuRyqGproaqthfH661P3vJsO71wiBsXjCGv9EFQqxMPhlDmiENBhMGd8zwgEtAaiaE2Ed9dPeuEoHYLaboPaLrXPKoqKAAD9gSAKtSpW3hERES1SvmYQORHSZdN3vvMdfP3rX58zfvDgQej1emzZsgWnT5/G5OQkjEYj6uvrk223tbW1iMVi6OjoAABs2rQJoihibGwMer0eTqcTR44cASBV9cnlcng8HgDAhg0b0N7eDr/fD41Gg7Vr1+LQoUMAgIqKCmg0GrS2tgIA1q1bh87OToyOjkKlUmHTpk3Yv38/AMBqtcJgMEAURQDA6tWr0dfXh+HhYSgUCmzduhX79++Hz+eDzWZDUVERWlpaAACNjY0YHh7GwMAAZDIZtm/fjoMHDyIajaKkpARmsxmnT58GADgcDvj9fvT1Sf+q3dTUhMOHD2NqagpFRUWoqKjAyZMnAQA2mw0TExPo6ekBAGzbtg0nTpxAMBhEQUEBampqcPz4cQDSZpKRSASdnZ0ApN/IZ86cwcTEBAwGA2w2W7KtuaamBsBM5eXGjRvhdrsxNjYGnU6HVatW4fDhw8nvt0KhQHt7OwBg/fr18Hq98Pl80Gg0yVZoACgvL4dOp4Pb7QYArF27Ft3d3RgZGYFSqcSWLVuwb98+ANKhJCaTCS6XK/n97u/vx9DQEORyObZt24YDBw4gFouhrKwMxcXFaG5uBgA4nU6MjIxgYGAAgiBgx44dOHToECKRCIqLi2GxWJLfb7vdjrGxMfT2Sq0+O3bswDvvvINwOIzCwkJUVVXhxIkTAICGhgYEg0F0d3cDALZu3YqTJ08iGAzCZDKhrq4u5ddsNBpNfr83b96MlpYWjI+Pw2AwwG6345133gEAVFdXQyaTpfyabWtrQyAQgFarxerVq5Pf78rKSqhUKrS1tSW/3x0dHRgdHYVarcaGDRtwINGiZLVaodfrk9/vNWvWoLe3F8PDw3O+32azGQUFBcnv96pVqzA4OIjBwcHkr9np73dpaSlKS0tx5syZ5K9Zn8+H/v7+Ob9mi4uLYbVacerUqeSv2fHx8eT3e/v27Th27BhCoRAKCwtRXV2d/DVbX1+PcDiMrq6u5K/ZXPiMiMfjKCsr42cEPyP4GcHPiOx9RvT2AgYDbHe9D7qJCfh6ejAZi2GDxQLXH/+IaHs7NP0DkPX14zMnfw+vriyl8i5TlW0nMfKHV1LG4gUF0DU68X8sN6JZXoQqnYAGswHFmiiqjQpcu3UVZONDmBjz8zOCnxH8jOCfI/jnCH5G8DMig8+IsbExXH/99TnzGVGU+Ae9cxHi8Xg8oyuzTKPRIBQKId1yf//732P37t3YvHlz8jfi2YqKijA6Ogq/359sdy0okP5A5vP5YDKZ5rznve99L373u9/h97//PW6//fa086arpKuurp53zpVq3759aGpqyvYyiIiIiBYtHonMapsVMehqR0v3dNtsaSK8s2BIWzjnvffvewxX9JyYOyeAD7776wio9GnvObttVjqwwgCH2Yj6Uu55R0REdLZcyyCmM6hzZUU5UUk3/a8W0+nl2cbHuCk6NAAALWdJREFUxzE6OoqioiIYjUYAgMlkSn6DOjs7sWbNmjnvm56vtrZ23nur1Wqo1erFPsKyZzAYsr0EIiIioiUhKBRQ1dVBVVcH4w03zLTNRiIId3QkTph1Y9B1HC1dw1J4pyuD12hBva8n7ZyjasO8AR0wt2122nR495mrG/D+q5xL/KREREQrU75mEDkR0jU2NkKtVmNgYABdXV1zTgCZrq47+/CHjRs34vXXX8fhw4fnhHRTU1M4ceIENBoNnE7+gclms2V7CUREREQXlaBQQF1fD3V9PXDjjenDux1ahFwiQm43wq2tiE9NAQC6DBd2mMR0eNfzjW+gZbIdarsdarsDapsNaocdarsdjx4dRHmBFk4LK++IiCg/5GsGkRMhnVarxXXXXYfnn38ev/nNb3DvvfemvP74448DwJyW1VtvvRWvv/46Hn/8cdx9990prz3zzDMIBoO47bbboNFoLur6V4KjR4/mVKkpERERUabODu+mxSMRhL0dCIkulLndeMH1Olq6RuAOzFTeeUzp22bPVuPvQ3R0EBMDg5jYszc5PilX4du3fzv5tRxx1M5qm3WY///27j24rfO88/gPvAAgCYAUbyApUpRIAJIsWdTNoiXFtuzazj1pHU3aSTYT19lNJxt303o3naSp3DR2m2y7duKuZ9tsZ+JMp5vEdZpJ7DhNYiV27LgSZUm2ZcuWhAOSICWSEiWSAHgDSAL7B0jwLkEyrUMC38+Mx4P3SAcPYBAj/fw87+sgvAMAZJxszSAyYk86STp48KDuuusulZWV6dChQ/J6vZKkQ4cO6fbbb1dBQYHa2tpUUlKS+j19fX1at26dwuGw/u3f/k333HOPJOnChQvau3evDMPQ888/r3379qVdZ7pzxitNps2DAwAAvFtmhndRw9Alo13+c/0yIhPqKCxX0Fk1L7z70TN/roKJ2Lx7nS6p05/s+8IVn5PwDgCQSTItg1jxe9I9++yzeuihh1KPY7HkH1puvvnm1NqBAwf0wQ9+UJJ055136gtf+IIee+wxbd26VXfddZdisZiee+45JRIJPfHEE7MCOkkqLS3Vd77zHX384x/X/v37tW/fPpWVlengwYMaGBjQAw88cFUBXSab2vcPAAAAl2fJy5OtYZ1sDeuku+9WhWaMzXZ0TI7LGuozXtOZswPqDI0uGNBJUofTndZzTiyy590/ekZ06/ZG2TyNys2g/4EMAMhs2ZpBLNuQrre3N3W08Uwz13p7e2dd+9a3vqWtW7fq8ccf13PPPSer1ao777xTBw4c0J49exZ8no997GN68cUX9fDDD+vw4cOKxWK64YYbdP/99+vTn/700r4oAAAAZK1keNcgW0ODpGR4t15SYmwsueed30h138WMgKLt7XLFhrTj/CkFnVW6WFhy1c/p/N9/q2A0IknKq6xM7nnn9ah7tUcPdLrkrSnW+tWr5HU75XU7tK68SLa83KV82QAAIE0rZtx1pWDcFQAAAEshMTY2q/PuktEm/7kBBQbjCk6OzXY43YuGd47YsP71Zw/KssC1l6s36+Hme+et5yqhNc58+WpKtH51iTxup3yEdwCA6yzTMogVP+4KAAAAZDNLfn7ylNfGRknvnR6bnRneGYYuGa/K3zWgQGRCwaKKVHhXNdy3YEAnLT5GOyGL2iLjajt9Ub84fTG1PjO8860u0ef2NarQyl8lAABYSnTSLbFM7aQbHR3llFsAAIBlLDE2plgwqKhhKGoENGgEFDfOKNYelMbHZ/3a/7njE3qhbvs1PU9+fFy/uPRTFXkaZfN6ZPN4ZG1sVK7Tqd5IVJeGonTeAQDekUzLIOikw5IKBALatGmT2WUAAABgEZb8/OSecx6PJKlicj0RiyU77wwj1X33ibN+bX29VR1FFQo63Ve1511t5IKiL/9W0Zd/O2s9r6pKP918tx5zbJnuvFtdIl9NibyMzQIArkK2ZhCEdEjL4OCg2SUAAADgGlis1unw7n3JtVpJd8Viszrv+ozjOnNuQIGh+GXDu/pwz4LPM97TI797SHLMGJs9dVG/ODV/bNY7ueed1+2Ut9KhhgrCOwDAtGzNIAjpkJbCwkKzSwAAAMASslitsnm9snm9kjR92uzM8M5vqM84pjNdIQUG4+pwVMjb37noPYOL7HU3Zeaed7+cs+fdLrdd//JfdivXUbQULw8AsIJlawZBSIe0bNiwwewSAAAAcB3MCu/ePzu8i7a3K2YYihp7JjvwDMWCQWliQpI0km+7pueckEUTr7+qMzv/WHnV1anOv+Q/jXp2yKHg4DiddwCQJbI1gyCkQ1qOHz+eUccfAwAA4OpYrFbZfT7Zfb5Z6/FYTLHJ8O5Jw1Cf/6D8XQMyhhLqcFSqw+lW0OlWb+Gqy95/TeS8JGm8u1vj3d0aeuml1LUnb/6MXqnamHqcq4TWuPLlrU6OzXoqHfK5nYR3AJAhsjWDIKQDAAAAcM1y5oR3U5138VhMsbZ2RQ2/YoGA+vzHpsO7ogp1uKpmhXdrwucXfY6OOWO0E7KoLTyutvDssdmcqQMraqbDu6baEq0tZ4QWALD8EdIhLbW1tWaXAAAAgBUkx2qVfb1P9vWLh3dRw1C/cVT+rpDKLp5Z8D4juVadLypN6znjsqg9Mq72GXve3WPr04NNDtm8HtkaGpRTNB3YTcQTys2xvKPXCQBYetmaQRDSIS15eXxUAAAA8M7NDe8qNTO8a1PUbygaMJJ73/kNhbsv6h7/C/M679JV+cpv1P3ky6nH+TU1snqT+919emSjRnOTnXe+mhJ53Q55K5Njs/Z8xmYBwCzZmkFk56vGVWtvb5fbffnTugAAAIBrlQzv1su+fv2s9XXRqJra25PhneFXn3FURteAAkMJBR2V6nBVqcPp1oVFwrv6OWO0Y11dGuvqUvjF38r40N9oPNcyq/NOmj02S3gHANdftmYQhHQAAAAAlq0cm21WeFcpaYOkeDQ6q/Ou33hFxrkBGcNKhndOtzpcVakDKebqLirTeO7Cfx1aaGxWmh3e/eGtHu1uLFvqlwsAyGKEdEjLjTfeaHYJAAAAQEqOzSb7hg2yb9ggacbY7MzwzjAUndilmGEo1tkpxeOp3x90Xn2Hxszwbu+zT6i23CKbp1FWj0c2j1e2xgZZ7Hb99ES3GiscdN4BwDXK1gyCkA5p6ejo0IbJPwABAAAAy9Xc8G5KfHQ0Gd4ZhqJGQLcZrao6/aRah5KBXdDpVofLrQuF6R1SUdN2UoNvXtTgCy9ML1osCq/16o+bPpusRQnVOfO1fnWJfNWMzQJAurI1gyCkQ1pCoZDZJQAAAADXLMdul33jRtk3bpSU7Lzzak5450+Ozfq7BxQYljocU+Fd1aw97/InxlQ9dGn+kyQSCgwmUg/jsigYGVfw1EX98tTssVnCOwBYXLZmEIR0SIvdbje7BAAAAGDJLRTerddkeNfamuq86zeOyN81oMCIFMkvVK4SC96vI40x2suFdz/60Gpt2blROfz5G0AWy9YMgpAOadm8ebPZJQAAAADXTY7dLvsNN8h+ww2SZoR3IyOTnXcfmN73LhDQWGenlEhISqhyuC/tsdmZ4rIo8Uf36nR8TPl1dbJ5PLI1Nsrm9ai9bI0ePxOVr6ZY3kqnvG6HGiscdN4ByEjZmkFYEonEwv8LCNckHA6ruLhYoVBILpfL7HKWTEtLi5qbm80uAwAAAFiW4iMjira2KpbqvGuTv2tArSOW5Mis063gFfa8qxq6pCee+/qC155bs1OPbv+DWWtTY7O+mhLCOwAZJdMyiHSzIjrpAAAAAOAdyikoUMGmTSrYtEnS7M676fDOUL+/Rf7u0ILh3ZrI+UXvH3RWzVtLjc2evqjnTs/f8863epW8VS753E59pKlGOTmWpX7ZAIAlREiHtFRXV5tdAgAAALDiLBreDQ8r2tqmqOFXLBBQv79F/efPLnqfYBp73U2Z3vOuV8+d6lVxPKbdzwdl93pk8zTK2tCgHJtNkhQZHVN+bg6ddwCWlWzNIAjpkJbCwkKzSwAAAAAyRk5hoQo2b1LB5unwTpoT3k2eOBsNBPS+YIvWRnoUdFapw+nW+aL097yr6+tU39PfnvHkObLW1cnq9ehf3Lv0T0OlqnNa5Vtdkuq8Y2wWgJmyNYMgpENaAoGAysvLzS4DAAAAyGhzw7spDcPDigaSp83GAob6/Yfl7x5Q60iOOlyTY7POqgXDu3ljtPG4YsGgYsGg3t5ZpXhtmYKRsVTnXaoWSXXOfHlriuWrLpbP7ZSn0iFPJeEdgHdXtmYQhHQAAAAAsMzlFBaq4MbNKrgxeeJhamx2aGiy885Q1PCr3zikQFdIgdEcdTjd6nC5telS+6L37bjMGG1cSoZ3py/q4Iw97yxKhnd3bq7Wgx+9cUleHwCAkA5p2rRp05V/EQAAAIDrKqeoaFZ455a0QVPhXevkuKwUNRyK+Q2NdXWlfu+ELDrnqLjq50xI6oiMqfWpnyjwD38mm9cjq8cj2+Q/1nXr9MszfRoZG5e30knnHYCrlq0ZBCEd0tLV1SWfz2d2GQAAAADSkAzvblTBjbM73WaFd4ahZ4xfKNAdUmA0N9V5t9jY7Fz14W7F2tsVa2+Xnjs4fSE3V4/f8QW9WVQjabrzbnrPOwfhHYDLytYMgpAOaenv7ze7BAAAAADv0NzwbqrzbmJwSLHWQOqgigHjP5J73o3mpcK7DqdbPUVlqXvVh88v+ByJiQm155dMP1ay867jVK8OztjzjvAOwGKyNYMgpENa8vPzzS4BAAAAwLsk11Gkgi1bVLBli6RkeLdec8I7w9CAcUj+ngG1jeZqQ39wwXv12V0atF75ZMbFwrv76qQ/u8sr29q1slitS/DqAKw02ZpBWBKJRMLsIjJJOBxWcXGxQqGQXC6X2eUAAAAAwJKbGBxSLGBMHlgRmPy3ofHubnUVlenbN3407bHZuf77se/rzs5jUm6urPX1qb3ubF6P7jttU3FxkXzVxfJWOuRzO9VY4VCBlc47AMtXulkRId0Sy9SQrqWlRc3NzWaXAQAAAGAZmxgcVCwwGdr5DQ0YbfL3hNQaXXxsdq6/f/6b8obOzVsfzrPpYx/663nrU2Oz3ppi+aqLU2OzhHfAypVpGUS6WRHjrgAAAACAJZHrcKigqUkFTU2SZo7NDipmTHfeTe151xbLU9BZlQrvLhSUqG7wwoL37nRULrieGps9fVG/On0xtT43vNu/o1aNFY6lfcEAsIQI6ZAWt9ttdgkAAAAAVqhch0MFW7eqYOtWSTPCu0hkVuddOPCyVFGm8Z6eefcIuqqu6jnnhncbf/mvcq0rlc2bHJ+11tfLkp+v8Ym4TvVE6LwDlpFszSAI6ZCWTBrdBQAAALA85Dqd88I7KRneRQ0jGeBNHlqxs+O8/sex7ynorFLQVaUOZ6XOF5YqYclJ67kqDj6ji7HB6YW8PFnX1qvH26RP2vbIIql2qvOuqnjWabOEd8D1la0ZBCEd0uL3+zNqHhwAAADA8pXrdKpw2zYVbtuWWlsj6ebJ8C5qGIoZhgaM/5DRPaC2sbzLhneu6KBKZgZ0kjQ+rpgR0FvDhdKuPUpI6oyMqfP0Rf16ztjsame+fJPh3dSBFYR3wLsnWzMIQjoAAAAAwIowN7xLjc2Gw8lTZgOT4Z3/5WR4N56voLNKFi1+XmLQefkx2oSks5ExnV0kvPvR5/aospS97gC8c4R0SMvGjRvNLgEAAAAAFpTrcqlw+zYVbl8kvDP8ihrlihnJ/e/GL0wfThGyFcmSiKc9NjslIenCwLAu3LZXg2vrZfN6ZG1slM3jlc3rkT+vRD89eYHOO+AaZGsGQUiHtFy4cCFrZ8IBAAAArExzw7spE6GQopMHVnzFMPTHxtMyugbUOmFNnjbrdCvocl9xz7vayAXljsUU9fsV9ftnXXvau0//d9OHUo+nx2ZL5KtypcK7xsoiFVr5qzkwU7ZmEHwTIC2XLl2Sx+MxuwwAAAAAeMdyi4tVuH27CrdvlyRVSfJpRng3eVhFOPDby4Z39ZH5p9BO6Sgqn/V4emy2V78+3Ztanxneeauc8lU6tb7Kqc2ri5f+hQMrRLZmEIR0SEtuLm3ZAAAAADLbouHdwMBk512y+y5kvCSje0A5ly4teq8Op3vRazMtFN7V5o3pZ7cWyubxyrqmTpa86b+6JxIJWSyWa32JwIqQrRmEJZFILL6DJq5aOBxWcXGxQqFQVrZmAgAAAEC2SIV3k5130UDy3xO9F/V93+/o9Ko16nC61VN0+bHZuZq7T+qrLU9Ikiz5+bI2NMjW2Cib16PHE2t1sD93Vued1+2Qp9LB2CywTKWbFRHSLbFMDeleeeUV3XTTTWaXAQAAAADL3sTAQDK0S3XetSnQPaC2CZuCLndybNZZtWh49/Ezv9IfvvXvC977wO7/rKPuDfPWFxqbJbzDSpVpGUS6WRE/qUhLPB43uwQAAAAAWBFyS0pUuHOnCnfulJQcm10vaby/X7HJAyuifkPhwIsyukNqm7Cl9rsLOqtUH158r7vgImO0i+15J0m1k+HdnTdU6RPNa5boVQLvnmzNIAjpkJaKigqzSwAAAACAFS1v1SrlzQnvfJoM7wxjenQ2YlV0pEwTc/a8G8qzqbdw1VU/71R45zz8G9321AXZPB7ZPI2yeTzKr6uTJTdXh1svqSA/V55Kh4psRAUwV7ZmEPzkIS2lpaVmlwAAAAAAGSlv1Srl3XSTCueM96XCu8nOO2ugVf/n+HfUFrenNTY71+qOUwq3/cesNYvNJmtDg77s+wO1WYokTXfeed1Oed1O+dwONVYQ3uH6ydYMgp8wpOX06dNqbm42uwwAAAAAyBoLhXeNSoZ3Ub8/OTrrNxQ2fiOje0BtiYJZY7Nzw7v6yPl5z5GIRjV06rQ6vbbkxna68tgs4R3ebdmaQfCTBAAAAADACpK3apXydu1S0a5dkmaMzfb1TR5YYShmzAzv7OpwVmldqGvB+3UVlWs858rxwGLh3YFbqnXf+5pkyc19py8NyGqEdEiLz+czuwQAAAAAwGXklZYuHt75DUUDO5Pjs/5kkDfR3y9JGrQWqHrwYtpjs3Pl/N1f6/RXWmVtWDe5351XNk+jrI2N+pOXLmpNaaE8lQ753E72vENasjWD4CcDaenv79eqVVe/QSkAAAAAwFx5paXKa96louZds9anwju34dcew1DEeEFGz9TYbFVq37vuorLLhndrwueVGB1V9K23FX3r7dT6RbtL//6+B+f9+tWTY7NToR3hHebK1gyCnwCkpbe3Vw0NDWaXAQAAAABYInPDu2pNdt5dujTZeZfsuIv4X1CgZ0CtKlSHs0odLreCk+FdfnxC7uG+Be8fdFYtuH4uMqZzp3v1/Jyx2bnh3R0bKlXmsC3lS8YKka0ZBCEd0mKxWMwuAQAAAABwHeSVlSmvrExFNyc37q+W5E0kNDE1NmsYihp+RYwX1HmuV7lKLHifDpf7qp53bnj3L7W9atpUL5vXq/yaGllykt18YxNxxcbjdN5lsGzNICyJRGLhnyZck3A4rOLiYoVCIblcLrPLAQAAAADgXZNIJDRx6dJkcBdQ1PAnD67wGzqZU6zDVTeow1WVGpuNp7nnnSUR149++hXZJ8aSjwsKZGtokM3j0Zm6jbr3bLlWO/PlrS6Rr8opb6UjeeosY7NYhtLNivjkIi3Hjh3Tjh07zC4DAAAAALCMWCwW5ZWXK6+8XEU335xaTyQSarh0SXfPOKgiHHherd0DarMUKeh0Xza8qxrqSwV0kpQYGdHoyZMaPXlSr9V3S9s+nuy8i/TqhTOzx2ZrnPnyTYZ3U3veEd6tLNmaQfAJRVrGx8fNLgEAAAAAsEIsFN5VS/IlEpq4eHFG510yvAt0D6h9RnhXOhJe9N4dzsuP0XZFxtR1mfDuHz+1Q/b83Hf8GvHuydYMgpAOaSktLTW7BAAAAADACmexWJRXUaG8igoV7d4taYHwzm8oagwrmr9DUcNQPBSadY8rhXSL6YqMaehSm7o/8b9ka2yUzeuRzZP8J6+6WqfOD+qNcyE675aBbM0g+MQhLW73tX0JAgAAAABwJQuFd1JybHa8t1exGZ13f228psCR36g9x6EOZ/Kk2Q6nW92O8ivueVcf6tHoG29o9I03Zq3nFBbqyZ336LulW1NrU513Xndyv7upU2cdhHfvumzNIPhkIS1vv/22mpubzS4DAAAAAJBFLBaL8isrlV9ZqaI9eyRNd95Nh3fJ7rtw4NcK9IQUtBQpOLnfXXBOeFcfOb/g88SHh9U6LGlGA9eVxmanwrupQysI75ZOtmYQfIIAAAAAAMCKctnw7kKvooZfsUAgGd4Zv1Jrz4Dac5yqGu5b9J5BV1Vaz71QeLfRlaOn721SXnW1LBbLO3ptyF6EdEiLx+MxuwQAAAAAAC7LYrEo312pfHeltHevpAXCu6nuu8nx2XgkooSk+nCPxi05aY3NzlV98hUZdzygnKIiWT2NsjVO7nfn9ejx8wV6OxyXd+qkWbdDnkqHnPb8pX8DMkS2ZhCEdEjL4OCgysrKzC4DAAAAAICrtlB4J03ueXfhgqJ+Q98KJMO7sHFQrd0htec6Fx2bnas+3CNJig8NafT1Exp9/UTq2gu33q9TpWv1mzljs9WOfPlqSuRzO+StdKbGZxmbzd4Mgv/ySEtPT4/q6+vNLgMAAAAAgCWTDO/cyne7pffM7by7MHnSrF9Rw1AkMB3edbjcCjqrUuHdmkX2ukto8dNouwfH1H2md354N7nnnc/t0L71ldrrKV/Kl7wiZGsGQUgHAAAAAAAww8zwzvGe6c47XyKh8fPnk+HdZOfdoP85xQbPLnifi/ZiDecXXNVzd0fG1B1JhnfR376kDettyfFZr0d5bndqzzvjwqDcLhtjsxnEkkgkEmYXkUnC4bCKi4sVCoXkcrnMLmfJJBIJNr8EAAAAAGABiZnhnWFM7n0XUF9bp1qca+Z13qW7590Xj/4/3XH21dTjHKdTtsZGWT2N+j3t0vnxXFU7rfJWueRzO+VzO+VxO+Rd4XveZVoGkW5WREi3xDI1pHv11Ve1bds2s8sAAAAAAGDFSCQSGu/pmXFQhV8Ro1WtPWG157lS4V2H062uojLFc3Jn/f7Hn39UjaGuefcdyrNr/4cevuxzr+TwLtMyiHSzIsZdkZZYLGZ2CQAAAAAArCgWi0X51dXKr66W45ZbUuu+meHdZPddJPDLeeFdbeTCgvftcFZe8bm7IzF1Ry7qRf/FWevVTqu+9ns36q4bqt7Zi3sXZWsGQUiHtJSUlJhdAgAAAAAAGeGy4V1393TnXe1HFDUMxQxD8eHh1K+7WFCinPjEvM67dHRHYhr4k/+m9rI82TzJve6sjY2yebyKl5bp735xOnXSrKfSIZcJnXfZmkEw7rrEMnXcdWhoSEVFRWaXAQAAAABA1knMDO9SnXdtausZUFt+iTqc7lT33UJjs3P94GcPqjg2PG+9o7pRf9T8uVlrVY58+aqL5XU75XM75Kl0yut+d8O7TMsgGHfFknrzzTfV3NxsdhkAAAAAAGQdi8Wi/Joa5dfUyHHrral1Xzw+u/PO8Cti/EKt50NqXyS8K44OLhjQSVLQMj8Y6xkcU49//thslSNf3upi+dxOeSuTnXebV7tky7v67r65sjWDIKQDAAAAAABYgSw5OcpfvVr5q1fLcdttqfXZ4Z2hqP+MIoE2tZ4PqT++eBQUdKW/T91UePfSjPDuF3cWq7FpvXLLy6/pdNaJeEJH2vp0qDOqePkl7VpXqtyczDnl9UoYd11imTru2tvbq4qKCrPLAAAAAAAA1ygRj2usq1tRw69YIJAanY0GAkqMjOjFmia9uLpJHS63zhWVX9Wed7bxmH70068oRwnlFhfL6vEk97zzeHTUtUYPvhGVt9o1q/Nu5tjsz9/s1lefPqmecDR1zyqXTV/9yCa9b3P1kr8X11O6WREh3RLL1JCus7NTdXV1ZpcBAAAAAACW2KzwbnLfu2TnXVhBa7GCzip1uNzqcC4e3nn7O/X3v3lswfv/qPFW/dONH1nwmtuRr1KnXW93R6REQprZgZdIyGKx6B/+0/YVHdSxJx2WVFdXFyEdAAAAAAAZyJKTI2vtallrV0v79qXWffG4xrq6FPVPdd6dUSTwc7Wej8wL79aFuxa9f4fTvei184NjOj84NlnInNFWi0WJREJffeq47rrhAxk/+kpIBwAAAAAAgHmS4V2trLW10u23p9ZnhndRw1DMOK3RnoBidrsSo6Pz7hN0LR7SXbkIi3qi0pFAr3Z7K6/9PisA465LLFPHXcfHx5WXR6YLAAAAAAAWlojHNXbuXHKvu4CRGp31n4+ozVaq4ORJsx1Ot845rm7Pu7/d6dTH99965V+4DDHuiiV18uRJNTU1mV0GAAAAAABYpiw5ObLW1claVyfnHdOdd2tnhneGoahxSkNGm1ovhPVi2QZ9b+PdV7x36Wjk3Sx9WSCkQ1pGF2hXBQAAAAAAuJLFwjvvxIR2Pfsz/fJXA7poL56/J50kJRKqGBnQLo/3OlZsjhyzC8DKkEmjuwAAAAAAwHyW3Fyt+uAH9F87fpNcmLsj2+Tjz3W+KOdNO69zddcfIR3SsnbtWrNLAAAAAAAAGcaSm6v9n9uvv3jln1U+Gpp1rWJkQH/xyj9r/+f2y5Kb/v51KxXjrkjLiRMn1NzcbHYZAAAAAAAgw7juvlsfl/Sev/mGXh8vVJ/NqdJoRE15w6r58y/JdfeV96zLBIR0AAAAAAAAMJXr7rvl/J3fUd3RYzp16JA27N6twp07sqKDbgohHdJSX19vdgkAAAAAACCDWXJzVdS8S6vr16ioqsrscq479qSTNDIyogcffFA+n092u101NTW67777dO7cObNLWzYmJibMLgEAAAAAAGSBbM0gsj6kGx0d1R133KGHHnpIg4OD+uhHP6q6ujo98cQT2rZtm1pbW80ucVk4e/as2SUAAAAAAIAskK0ZRNaHdA8//LAOHz6s3bt368yZM3ryySfV0tKiRx55RL29vbrvvvvMLhEAAAAAAAAZzpJIJBJmF2GWWCymyspKhUIhHT9+XNu2bZt1vampSSdOnNDRo0e1Y8eOtO4ZDodVXFysUCgkl8v1bpRtilgsJqvVanYZAAAAAAAgw2VaBpFuVpTVnXQvv/yyQqGQGhsb5wV0krR//35J0jPPPHO9S1t2zpw5Y3YJAAAAAAAgC2RrBpHVId3rr78uSdq+ffuC16fWT5w4cd1qWq6GhobMLgEAAAAAAGSBbM0gsjqk6+jokCTV1tYueH1qPRgMXrealiuHw2F2CQAAAAAAIAtkawaRZ3YBZhocHJQkFRYWLni9qKhIkhSJRBa9RzQaVTQaTT0Oh8NLWOHy4fF4zC4BAAAAAABkgWzNILI6pFsKX//61/VXf/VX89aPHj2qoqIibd++XW+//bZGRkbkdDq1bt261PhsfX294vG4Ojs7JUlbt26VYRgaHBxUUVGRfD6fXn31VUnJrr7c3NxUV9+WLVvU3t6ucDgsu92uTZs26dixY5Kkmpoa2e12tba2SpI2b96ss2fPamBgQFarVVu3btWRI0ckSVVVVXI4HDIMQ5K0ceNGnT9/Xn19fcrLy9OOHTt05MgR9fX1yefzadWqVanZ8PXr16uvr0+9vb3KycnRTTfdpKNHj2piYkJlZWWqrKzU22+/LUnyer0Kh8M6f/68JKm5uVnHjx/X2NiYVq1apZqaGp08eVKS1NjYqOHhYXV3d0uSdu7cqTfffFOjo6MqLi7WmjVr9MYbb0iS1q5dq/Hx8dTxzNu3b9epU6c0PDwsh8OhxsbG1FjzmjVrJE13UDY1NSkQCGhwcFCFhYXasGGDjh8/nnq/8/Ly1N7eLkm68cYb1dHRoVAoJLvdrs2bN+vo0aOSpOrqahUWFioQCEiSNm3apK6uLvX39ys/P1/bt29XS0uLJMntdsvlcsnv96fe7wsXLujSpUvKzc3Vzp079corrygej6uiokKlpaU6ffq0JMnn86m/v1+9vb2yWCzatWuXjh07pvHxcZWWlsrtdqfeb4/Ho8HBQfX09EiSdu3apddee02xWEwlJSWqra3Vm2++KUlqaGjQ6Oiourq6JEk7duzQyZMnNTo6KpfLpbVr1876zE5MTKTe723btunMmTMaGhqSw+GQx+PRa6+9Jkmqq6tTTk7OrM9sW1ubIpGICgoKtHHjxtT7vXr1almtVrW1taXe787OTg0MDMhms2nLli165ZVXUp/ZoqKi1Pt9ww03qKenR319ffPe78rKShUXF6fe7w0bNujixYu6ePFi6jM79X6Xl5ervLxcp06dSn1mQ6GQLly4MO8zW1paqqqqKr311lupz+zQ0FDq/b7pppt04sQJRaNRlZSUqK6uLvWZXbdunWKxmM6dO5f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      "text/plain": [
       "<Figure size 1500x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if var=='pressure':\n",
    "    # compute factor between analytical solution and normalized linear solvers\n",
    "    factor = P_analytic[0,0]/state_true_norm.reshape(ny, nx)[0,0]\n",
    "    offset = P_analytic[0,0] - (state_true_norm.reshape(ny, nx) * factor)[0,0]\n",
    "    state_true_norm_ref = (state_true_norm.reshape(ny, nx) * factor) + offset\n",
    "    state_hhl_ref = (state_hhl.reshape(ny, nx) * factor) + offset\n",
    "    print(f'Fidelity w.r.t analytical: {fidelity(P_analytic.reshape(-1), state_hhl_ref.reshape(-1))}')\n",
    "    print(f'Fidelity w.r.t classical: {fidelity(state_true_norm_ref.reshape(-1), state_hhl_ref.reshape(-1))}')\n",
    "\n",
    "    plt.rcParams.update({'font.size': 15})\n",
    "    fig, ax = plt.subplots(1,1,figsize=(15, 8), facecolor=\"1\")\n",
    "    \n",
    "    # Pressure\n",
    "    prop_plt = 1.0*state_true_norm_ref\n",
    "    prop_plt_sim = 1.0*state_hhl_ref\n",
    "    # first line (for legend)\n",
    "    i = 0\n",
    "    offset = i*np.max(prop_plt)\n",
    "    prop = P_analytic[i,:] + offset\n",
    "    ax.text(x[0], prop[0], f'$y = {y[i]:0.1f}$')\n",
    "    prop = prop_plt[i,:] + offset\n",
    "    ax.plot(x, prop, '-o', color='tab:red', linewidth=3, label='Classical solver')\n",
    "    prop = prop_plt_sim[i,:] + offset\n",
    "    ax.plot(x, prop, '--o', color='tab:blue', linewidth=3, label='HHL linear solver')\n",
    "    # all other lines\n",
    "    for i in range(1, ny):\n",
    "        offset = i*np.max(prop_plt)\n",
    "        prop = P_analytic[i,:] + offset\n",
    "        ax.text(x[0], prop[0], f'$y = {y[i]:0.1f}$')\n",
    "        prop = prop_plt[i,:] + offset\n",
    "        ax.plot(x, prop, '-', color='tab:red', linewidth=3)\n",
    "        prop = prop_plt_sim[i,:] + offset\n",
    "        ax.plot(x, prop, '--o', color='tab:blue', linewidth=3)\n",
    "        \n",
    "    ax.grid(linestyle = '--', linewidth = 0.5)\n",
    "    ax.set_yticks([0, 100, 200, 400, 600])\n",
    "    ax.set_yticklabels(['0', '100', '200', '', ''])\n",
    "    ax.set_ylabel('Pressure')\n",
    "    ax.set_xticks(x)\n",
    "    ax.set_xlabel(r'$x$')\n",
    "    ax.legend(frameon=False);\n",
    "    \n",
    "    if saveFig: plt.savefig(figfilename, bbox_inches='tight', dpi=200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "02312b00-6e8c-4458-887e-496abf69eb57",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "if var=='velocity':\n",
    "    # compute factor between analytical solution and normalized linear solvers\n",
    "    factor = U_analytic[int(ny/2),0]/state_true_norm.reshape(ny, nx)[int(ny/2),0]\n",
    "    offset = U_analytic[int(ny/2),0] - (state_true_norm.reshape(ny, nx) * factor)[int(ny/2),0]\n",
    "    state_true_norm_ref = (state_true_norm.reshape(ny, nx) * factor) + offset\n",
    "    state_hhl_ref = (state_hhl.reshape(ny, nx) * factor) + offset\n",
    "\n",
    "    \n",
    "    print(f'Fidelity w.r.t analytical: {fidelity(U_analytic.reshape(-1), state_hhl_ref.reshape(-1))}')\n",
    "    print(f'Fidelity w.r.t classical: {fidelity(state_true_norm_ref.reshape(-1), state_hhl_ref.reshape(-1))}')\n",
    "    \n",
    "    plt.rcParams.update({'font.size': 15})\n",
    "    fig, ax = plt.subplots(1,1,figsize=(10, 5), facecolor=\"1\")\n",
    "    \n",
    "    # Velocity\n",
    "    prop_plt = state_true_norm_ref.reshape(ny, nx) / np.max(state_true_norm_ref[:])\n",
    "    prop_plt_sim = state_hhl_ref.reshape(ny, nx) / np.max(state_hhl_ref[:])\n",
    "    # first line (for legend)\n",
    "    i = 0\n",
    "    offset = i*1\n",
    "    prop = U_analytic[:,i]/Umax + offset\n",
    "    ax.text(prop[0]+0.1, y[0], f'x = {x[i]:0.1f}')\n",
    "    \n",
    "    prop = prop_plt[:,i] + offset\n",
    "    ax.plot(prop, y, '-o', color='tab:red', linewidth=3, label='Classical solver')\n",
    "    \n",
    "    prop = prop_plt_sim[:,i] + offset\n",
    "    ax.plot(prop, y, '--o', color='tab:blue', linewidth=3, label='HHL linear solver')\n",
    "    # all other lines\n",
    "    for i in range(1, nx):\n",
    "        offset = i*1\n",
    "        prop = U_analytic[:,i]/Umax + offset\n",
    "        ax.text(prop[0]+0.1, y[0], f'x = {x[i]:0.1f}')\n",
    "        prop = prop_plt[:,i] + offset\n",
    "        ax.plot(prop, y, '-o', color='tab:red', linewidth=3)\n",
    "        prop = prop_plt_sim[:,i] + offset\n",
    "        ax.plot(prop, y, '--o', color='tab:blue', linewidth=3)\n",
    "        \n",
    "    ax.grid(linestyle = '--', linewidth = 0.5)\n",
    "    ax.set_xticks([0, 0.5, 1, 2, 3, 4])\n",
    "    ax.set_xticklabels(['0', '0.5', '1', '', '', ''])\n",
    "    ax.set_ylabel('y')\n",
    "    ax.set_yticks(y)\n",
    "    ax.set_xlabel(r'$U/U_{\\mathrm{max}}$')\n",
    "    ax.legend(frameon=False);\n",
    "    \n",
    "    if saveFig: plt.savefig(figfilename, bbox_inches='tight', dpi=200)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "qlsa-Hele-Shaw",
   "language": "python",
   "name": "qlsa-hele-shaw"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  },
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