n_queens_solution.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Solution forThe n-queens problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "import numpy as np\n",
    "sys.setrecursionlimit(10**6)\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Helper Functions\n",
    "We will start by defining a function that places a queen in a particular position of (row, column) and mark the tiles that the queen can attack. Another function is defined to find the diagonals around the queens position inside the board.\n",
    "\n",
    "the queens position is going to be marked with a -1 value and the tiles she can attack are marked with 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def in_board(pos_x, pos_y, size):\n",
    "    truth_y = 0<= pos_x < size\n",
    "    truth_x = 0<= pos_y < size\n",
    "    return truth_x and truth_y\n",
    "\n",
    "def queen_placer(pos, board):\n",
    "    board[pos] = -1\n",
    "    size = board.shape[0]\n",
    "    pos_y, pos_x = pos\n",
    "    diagonals = [(pos_y+i, pos_x+i) for i in range(-1*size, size+1) if in_board(pos_y + i, pos_x+i, size)] + [(pos_y-i, pos_x+i) for i in range(-1*size, size+1) if in_board(pos_y - i, pos_x+i, size)]\n",
    "    for i in diagonals:\n",
    "        board[i] = 1\n",
    "    board[pos_y,:] = 1\n",
    "    board[:,pos_x] =1\n",
    "    board[pos] = -1\n",
    "    return board"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will test this function by placing a queen at row = 1, column = 1 on a 4x4 board.board = np.zeros((size,size))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.,  1.,  1.,  0.],\n",
       "       [ 1., -1.,  1.,  1.],\n",
       "       [ 1.,  1.,  1.,  0.],\n",
       "       [ 0.,  1.,  0.,  1.]])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "board = np.zeros((4,4))\n",
    "queen_placer((1,1), board)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Defining the solver function\n",
    "Only one queen can be placed in each row, otherwise the second queen in the row could be attacked by the first. Therefore, we need to solve the board in a row by row fasion to find the placement of each queen in each row.\n",
    "\n",
    "This problem is solved recursively by the propagation and backtracking technique. in the propagation step, we mark all the unsafe positions on the board and remove them from consideration. we start by position 0,0 and continue our search until we find a solution. this marking is achieved by the queen_placer function as we demonstrated before.\n",
    "\n",
    "This is how backtracking works, consider we are in the middle of solving the problem. once we solve row i we move to row i+1 and evaluate the board. if there are safe positions for a queen to be placed, we try one of them and move to i + 2. If no safe positions exist, we move back to row i and try one of the other available positions. if we exhasted all the options in row i and we cannot proceed we move back one step to row i - 1 and try a different position and so on.\n",
    "\n",
    "The solver function keeps track of all the positions it tried in the blacklist dictionary so it knows to avoid options that have been already explored. once the function back tracks one step, the blacklist record for the last row is deleted so it can be freely explored from the begining. Also, the function keeps the current queens' positions in a list called q_coordinates.\n",
    "\n",
    "The base case is achieved once the length of q_coordinates is equal to the number of rows, in other words one queen was successfully placed in every row."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def solver_function(size, q_coordinates = [], blacklist = {}):\n",
    "    if size == len(q_coordinates):\n",
    "        return q_coordinates\n",
    "    if blacklist == {}:\n",
    "        blacklist = {row:[] for row in range(0, size)}\n",
    "    board = np.zeros((size,size))\n",
    "    for pos in q_coordinates:\n",
    "        board = queen_placer(pos , board)\n",
    "    row = len(q_coordinates)\n",
    "    for index, element in enumerate(board[row,:]):\n",
    "        if element == 0. and not index in blacklist[row]:\n",
    "            col = index\n",
    "            blacklist[row].append(index)\n",
    "            break\n",
    "    try:\n",
    "        q_coordinates.append((row, col))\n",
    "    except:\n",
    "        if len(q_coordinates) > 0:\n",
    "            q_coordinates.pop(-1)\n",
    "        if len(q_coordinates) > 0:\n",
    "            q_coordinates.pop(-1)\n",
    "        blacklist[row] = []\n",
    "        q_coordinates = solver_function(size, q_coordinates,  blacklist)\n",
    "    if size == len(q_coordinates):\n",
    "        return q_coordinates\n",
    "    elif 0. in board[row+1,:]:\n",
    "        q_coordinates = solver_function(size, q_coordinates,  blacklist)\n",
    "        return q_coordinates\n",
    "    else:\n",
    "        if len(q_coordinates) > 0:\n",
    "            q_coordinates.pop(-1)\n",
    "        if len(q_coordinates) > 0:\n",
    "            q_coordinates.pop(-1)\n",
    "        blacklist[row] = []\n",
    "        q_coordinates = solver_function(size, q_coordinates,  blacklist)\n",
    "        return q_coordinates"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solving the problem on board sizes = 4 .. 20\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For board size = 4x4. The solution is [(0, 1), (1, 3), (2, 0), (3, 2)]\n",
      "For board size = 5x5. The solution is [(0, 0), (1, 2), (2, 4), (3, 1), (4, 3)]\n",
      "For board size = 6x6. The solution is [(0, 2), (1, 5), (2, 1), (3, 4), (4, 0), (5, 3)]\n",
      "For board size = 7x7. The solution is [(0, 0), (1, 2), (2, 4), (3, 6), (4, 1), (5, 3), (6, 5)]\n",
      "For board size = 8x8. The solution is [(0, 0), (1, 4), (2, 7), (3, 5), (4, 2), (5, 6), (6, 1), (7, 3)]\n",
      "For board size = 9x9. The solution is [(0, 1), (1, 5), (2, 0), (3, 6), (4, 3), (5, 7), (6, 2), (7, 4), (8, 8)]\n",
      "For board size = 10x10. The solution is [(0, 0), (1, 5), (2, 9), (3, 2), (4, 6), (5, 8), (6, 3), (7, 1), (8, 4), (9, 7)]\n",
      "For board size = 11x11. The solution is [(0, 1), (1, 6), (2, 4), (3, 9), (4, 0), (5, 5), (6, 3), (7, 10), (8, 7), (9, 2), (10, 8)]\n",
      "For board size = 12x12. The solution is [(0, 0), (1, 2), (2, 6), (3, 10), (4, 1), (5, 11), (6, 9), (7, 5), (8, 3), (9, 8), (10, 4), (11, 7)]\n",
      "For board size = 13x13. The solution is [(0, 0), (1, 2), (2, 5), (3, 10), (4, 12), (5, 7), (6, 3), (7, 11), (8, 6), (9, 1), (10, 9), (11, 4), (12, 8)]\n",
      "For board size = 14x14. The solution is [(0, 1), (1, 7), (2, 5), (3, 3), (4, 12), (5, 10), (6, 13), (7, 6), (8, 2), (9, 11), (10, 8), (11, 0), (12, 9), (13, 4)]\n",
      "For board size = 15x15. The solution is [(0, 0), (1, 2), (2, 6), (3, 12), (4, 1), (5, 8), (6, 11), (7, 14), (8, 3), (9, 5), (10, 9), (11, 13), (12, 10), (13, 7), (14, 4)]\n",
      "For board size = 16x16. The solution is [(0, 0), (1, 2), (2, 6), (3, 14), (4, 9), (5, 13), (6, 15), (7, 5), (8, 1), (9, 11), (10, 4), (11, 8), (12, 3), (13, 12), (14, 10), (15, 7)]\n",
      "For board size = 17x17. The solution is [(0, 0), (1, 2), (2, 4), (3, 8), (4, 16), (5, 9), (6, 13), (7, 1), (8, 7), (9, 15), (10, 6), (11, 14), (12, 5), (13, 10), (14, 12), (15, 3), (16, 11)]\n",
      "For board size = 18x18. The solution is [(0, 0), (1, 2), (2, 5), (3, 9), (4, 6), (5, 16), (6, 13), (7, 4), (8, 12), (9, 17), (10, 15), (11, 3), (12, 1), (13, 11), (14, 8), (15, 14), (16, 7), (17, 10)]\n",
      "For board size = 19x19. The solution is [(0, 0), (1, 2), (2, 4), (3, 7), (4, 13), (5, 3), (6, 12), (7, 15), (8, 5), (9, 14), (10, 1), (11, 18), (12, 8), (13, 6), (14, 17), (15, 9), (16, 11), (17, 16), (18, 10)]\n",
      "For board size = 20x20. The solution is [(0, 0), (1, 2), (2, 4), (3, 7), (4, 14), (5, 16), (6, 13), (7, 15), (8, 17), (9, 5), (10, 1), (11, 6), (12, 18), (13, 10), (14, 12), (15, 9), (16, 19), (17, 3), (18, 11), (19, 8)]\n"
     ]
    }
   ],
   "source": [
    "for size in range(4,21):\n",
    "    q_coordinates = solver_function(size, q_coordinates = [], blacklist = {})\n",
    "    print(f'For board size = {size}x{size}. The solution is {str(q_coordinates)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Timing the function\n",
    "The function is called 10 times for each board size ranging from 4 to 20 and the running time is averaged across the 10 times."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import timeit, functools\n",
    "times = []\n",
    "for i in range(4, 21):\n",
    "    t = timeit.Timer(functools.partial(solver_function, i))\n",
    "    elapsed_time = t.timeit(10)/10\n",
    "    times.append(elapsed_time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The running time for each n value in seconds:\n",
      "\n",
      "For 4x4, Time taken = 1.60e-05 s\n",
      "For 5x5, Time taken = 3.83e-06 s\n",
      "For 6x6, Time taken = 5.65e-05 s\n",
      "For 7x7, Time taken = 6.28e-06 s\n",
      "For 8x8, Time taken = 6.44e-04 s\n",
      "For 9x9, Time taken = 9.76e-06 s\n",
      "For 10x10, Time taken = 2.35e-03 s\n",
      "For 11x11, Time taken = 4.87e-03 s\n",
      "For 12x12, Time taken = 1.70e-03 s\n",
      "For 13x13, Time taken = 2.94e-03 s\n",
      "For 14x14, Time taken = 1.22e-02 s\n",
      "For 15x15, Time taken = 7.85e-04 s\n",
      "For 16x16, Time taken = 2.49e-02 s\n",
      "For 17x17, Time taken = 2.12e-02 s\n",
      "For 18x18, Time taken = 6.50e-02 s\n",
      "For 19x19, Time taken = 3.17e-05 s\n",
      "For 20x20, Time taken = 4.65e-02 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f9d9f382b20>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1800x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = list(range(4,21))\n",
    "print('The running time for each n value in seconds:\\n')\n",
    "times_formated_list = []\n",
    "for size, time in zip(range(4,21), times):\n",
    "    time = \"{:.2e}\".format(time) + ' s'\n",
    "    times_formated_list.append(time)\n",
    "    print(f'For {size}x{size}, Time taken = {time}')\n",
    "fig, ax = plt.subplots(figsize=(25,10))\n",
    "plt.plot(x,times, label=\"Running Time\")\n",
    "for a, b, c in zip(x, times, times_formated_list): \n",
    "    plt.text(a, b, c)\n",
    "plt.xlabel('Board Length')\n",
    "plt.ylabel('Time in s') \n",
    "plt.title('Order of growth')\n",
    "plt.legend(loc=\"upper left\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualizing the Soltions\n",
    "We will make a Chessboard class which will help us visualiz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "class ChessBoard:\n",
    "    def __init__(self, size):\n",
    "        board = np.zeros((size,size))\n",
    "        board[1::2,0::2] = 1\n",
    "        board[0::2,1::2] = 1\n",
    "        self.board = board\n",
    "        self.size = size\n",
    "\n",
    "    def make_board(self):\n",
    "        fig, ax = plt.subplots(figsize=(10,10))\n",
    "        ax.imshow(self.board, cmap='binary')\n",
    "        ticks = [i for i in range(0, self.size)]\n",
    "        ax.set(xticks = ticks, yticks = ticks)\n",
    "        self.ax = ax\n",
    "\n",
    "    def display(self, q_coordinates):\n",
    "        fontsize = 100 - self.size*4 if 100 - self.size*4 > 10 else 15\n",
    "        self.make_board()\n",
    "        ax = self.ax\n",
    "        for i in q_coordinates:\n",
    "            ax.text(i[1], i[0],'♕', fontsize=fontsize, ha='center', va='center', color='black' if (i[0] - i[1]) % 2 == 0 else 'white')\n",
    "        return ax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " Solution to 4x4 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 5x5 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 6x6 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 7x7 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 8x8 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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UUKrZEREREZemsCMiIiIuTWFHREREXJrCjoiIiLg0hR0RERFxaQo7IiIi4tIUdkRERMSlKeyIiIiIS1PYEREREZemsCMiIiIuTWFHREREXJrCjoiIiLg0hR0RERFxaQo7IiIi4tLcHTHo7t27MQzDEUPXSKZpOnsK1YruDSvdH1a6P6x0f1jp/rDS/fGT8PDwctu0syMiIiIuTWFHREREXJpDjrFERGqioKAgnnrqKUJCQkhPT+fDDz8kPj7e2dMSkV9JOzsiIkBYWBgbN25k06ZN9O/fn/nz5/Ppp58yduxYZ09NRH4lwxHFTYZhqGKqFBWQWanA0Er3h5Wz7o/4+Hjmzp3L4sWLbdf69OnD4sWLadasGRcuXHDKvHR/WOnvDyvdHz8JDw8nKSmpzBtEOzsi4rI8PDyYPHkyhw8fJjs7m/379/P444+X2TciIoK9e/darq1duxZ3d3fCwsLs+j/22GOkpKRw6dIlDh06xPPPP4+7uyoDRKoj/S9TRFzWBx98QGhoKH369OHbb78lKiqKBQsWEBAQwOuvv27pe+TIESIiIvj2229t15o3b467uzvHjx+39J0wYQLDhw/n0UcfJTk5mXvuuYf333+fli1b8sc//rEqliYiP4dpmpX+Aky9fnqJlbN/H9XtJVaV9XNt3ry5aZqm2aJFC8v1oUOHmllZWaaHh4flenh4uHnw4EHz4YcfNuvWrWt26NDBPHDggDlx4kRLPw8PD/PChQtm69atLde7du1qFhUVmY0bN9b94UDO/t9rdXvJTzp27Gia5eQS7eyIiEtyc7t6Sp+ZmWm5npqaip+fH40bN+bkyZO260lJSXTu3Jldu3YRExPDww8/TGhoKPv377e8PzAwkHr16nHu3DnL9fT0dGrVqoWXl5eDViQiv5RqdkTEJR07dowVK1Ywc+ZMSy1N7969OX78ON9//73dey5cuMDly5f57rvvbGNc6/vvv+fMmTNMnz7dNq6HhwcvvfQSycnJdkdeIuJ82tkREZf10EMPMWXKFNavX09RURELFixg0qRJ9O/fv9xPsfj5+dl2fHx8fMjLy7O0X7lyhYkTJ/LRRx9RXFxMvXr1iIyMBK4GKRGpfrSzIyI1lpeXFzNnzuTkyZPk5uayceNGOnbsaGvPzc1lwoQJxMbG0rJlS0JDQ4mLiyMhIaHcMX19fS1hpyzz58/nv//9L/v372fQoEFMnTqVu+66y/JproiICDZs2MC+ffv46quveO2113TEJeIkCjsiUmOtWbOG0NBQevToQVBQEAkJCWzbto22bdva9T1//jwHDhygW7du1x2zdNjx9vYut9+dd95JWloa6enp/Otf/7LUBnXp0oUNGzbwj3/8g/bt2xMREYGbmxurV6/+hSsVkV9DYUdEaqTY2FhCQkK4//77OXjwID/88AMvvfQSy5cv54UXXrDrn5GRwdGjR/H19SUkJKTMMevUqYOHh4etnqe8nZ3bb7+d/Px8TNMkLS3Nrv3FF19k3rx5/Oc//wGgqKiI559/nsaNG9OjR49fumQR+YUUdkSkRmrXrh2JiYlcvHjRcn3r1q20a9fOrn9GRgZ+fn7s3LmT7t27lzmmn58fV65c4ezZsxQWFpYbdrp3787mzZsJCgoqM+y0bduWQ4cO2V1PTU0tc24i4lgKOyJSI6WmptKqVSu76+3bt+d///uf3fXz589zyy23sGXLlnLDjq+vLzk5OQBkZ2eXe4wVHR1tCztlfWLryJEjxMTEWK7VrVuXyMhI9u3bd6OliUglU9gRkRopLi4OgFmzZtmeqfP444/z2GOP8eabb9r1z8jIoFGjRsTHxxMVFVXmdyz5+flZwk55OzvdunUjLi6u3J2diRMnMmDAACZPnkxwcDARERGsXbuW7777Tt+iLuIECjsiUiMVFBTQp08fmjdvzqFDh1iyZAlPPfUU/fr1Y8OGDXb9S3Z2EhMT8fb2LrOI2dfXl+zsbACysrLKDDt33nknp0+fJiMjo9yws23bNjZt2kTjxo3Zv38///73v0lOTqZv375cuXKlElYvIj+Hwo6I1FgnTpxg0KBBtGrViubNm7NhwwYKCgrK7Fuys5Ofn8+uXbvKPMoqvbNTXtgpqdcBaNGiRZnHWK1bt6ZTp05kZGQwe/Zs2rRpw7hx48jIyPg1yxWRX0hhR0RcwooVK8jNzWXMmDFltpfs7ADl1u2UrtnJysoqs2anpF4nMDAQwzBIT0+36/PCCy8wa9Ys+vTpw8KFC3/NskSkEijsiIhLWLFiBT179uTkyZN06NDBrr1kZwcgPj6ebt262Wp9SlSkZqdz585s27at3OLk4OBg7rvvPtavX4+Pj48KkkWqAYUdEXEJBw4coEGDBqxcuZIJEybYtWdkZNh2dnbs2IGXl5ddKLp2Z+fasHPXXXdx5MgRLl++XG7Y+ctf/sLbb79Nr169WLx4cWUtT0R+BYUdEXEZK1euJCwsDE9PT4KDgy1t58+ft+3sXL58ma+++sruKOvamp1rj7FK1+u0bNnSrji5efPm9OvXj9mzZzNs2DAWLVpUqesTkV9GYUdEXMaKFSsYMmQIb7/9Ns8995ylLTc3Fzc3N9tuTXx8vF3YudHOTnR0NJs2bQIo85NYkyZNYu7cuTRp0oTi4mIOHjxYqesTkV9GYUdEXEZiYiItWrTgyJEjtG/fnsDAQEt7ZmambXdny5YtdO3alVq1atnab1Sz07ZtW3bv3g3Yh52mTZsyePBgZs2axbBhw3SEJVKNKOyIiEtZvXo1gwcP5t133+WZZ56xtJWu29m+fTu1a9cmPDzc1n695+y0adOGlJQUTNMEsKvZmThxIvPmzeP8+fMMHTpUR1gi1YjCjoi4lJKjrAULFnD//ffj7+9vaytdt3Pp0iWSkpKIjo62tV+vZqd0vU7t2rUJDAy07ew0btyY4cOH88Ybb9CmTRuys7M5ceKEg1cqIhWlsCMiLiUuLo6QkBACAgJYuHAhY8eOtbWV3tkB+7qd69XslDxfB64WJ587d468vDwAJkyYwPz58zl37pwKk0WqIYUdEXEphYWFbNiwgcGDB/POO+8wZswYvLy8AOuzduBq3U5kZCTu7u7A9Wt2SmqBwHqE1bBhQ0aNGsXMmTMBeOCBB/jss88cv1ARqbAbhh3DMD4wDOMHwzD2V8WERER+rZKjrFOnTrFlyxZGjx4NWJ+iDJCQkICnpyedOnUCyn+Cctu2bdm7d6/tfaWLk5955hk+/fRTzpw5Q4cOHTh16hSnT5+uknWKSMVUZGfnI6Cng+chIlJp1q1bR3h4OIGBgcyePZtnn30Wd3d3u52dixcvsnv3bttR1rU1O3Xr1sUwDLp37277yDn8FHb8/f0ZPXo006dPB2DYsGH6egiRauiGYcc0za3A+SqYi4hIpcjJySE+Pp7Bgwezc+dOTp8+zYgRI+x2dsBat+Pj42M5xiouLsbHx4eoqCji4uJs7yk5xho/fjxLlizh1KlTAAwaNIhly5ZV0SpFpKJUsyMiLmn58uUMGTIEgNmzZ/Pcc8+RmZlpF3a2bNnCvffei7+/Px4eHrawY5omeXl5+Pn5Ua9ePc6dO2d7T1BQEOfOneOJJ57g9ddfB6BTp04cPnyYzMzMKlqhiFRUpYUdwzD+YBhGkmEYSZU1pojILxUXF0eXLl146qmnWLlyJfXr1ycyMtJyjAVX63Y8PDy47777AGxhB64eZXXp0oU9e/ZY3tOyZUv69u3LqlWruHLlCn/9619ZunQp69atc/zCRORnc6+sgUzTfA94D8AwDLOyxhUR+SXy8/OpVasWc+bM4U9/+hPHjx/noYcewtvbmz59+pCQkEBWVha5ubns2bOH/v37c/HiRa5cuWIbIysri759+7JkyRI6d+5MZGQkXbt2xcfHhwceeIC0tDROnDhh+zRXfn6+s5YrItdRaWFHRKS6Cg4Otnwx6Jo1ayguLiYlJYVt27Zx6dIlevfuTVFREcOGDbP18/T0pFevXjz44IN4eHhYxvT39ycsLIzMzExOnTpFSEhIla1HRH6eG4YdwzAWAtFAQ8MwTgJTTNN839ETExGpLFOnTuXYsWMMHTqUHj16ULt2bdzc3GjXrh3t2rWz9K3oAwH37t3LO++8w4IFC3juuecUdkSqsRuGHdM0h1fFREREHOXChQt8/PHHfPzxx9SrV4+BAwcyZMgQYmNj8fT0rPA4+fn5LF26lH/+858kJiY6cMYiUpl0jCUiN5WsrCzmz5/P/Pnz8fDw+Flhp7CwkIKCAgfOTkQcQWFHRG5ahYWFFBYWOnsaIuJges6OiIiIuDSFHREREXFpCjsiIiLi0lSzIyIub9asWcyaNcvZ0xARJ1HYERGXt337dlJSUhw2fnh4OOHh4Q4bX0R+HYUdEXF5S5YsYfbs2Q4bf8qUKQo7ItWYanZERETEpSnsiIiIiEtT2BERERGXprAjIiIiLk0FyiLi8l555RUmT57ssPHr1q3rsLFF5NdT2BERl+fj44OPj4+zpyEiTqKwIyIu6fvvv8cwDGdPQ0SqAdXsiIiIiEtT2BERERGXprAjIiIiLk1hR0RERFyawo6IiIi4NIUdERERcWkKOyIiIuLSFHZERETEpSnsiIiIiEtT2BERERGXprAjIiIiLk1hR0RERFyawo6IiIi4NIUdERERcWnujhi0Y8eOJCUlOWLoGskwDGdPoVoxTdPZU6hWdH9Y6f6w0v1hpfvDSvdHxWhnR0RERFyawo6IiIi4NIccY4mIiIhrCwoK4qmnniIkJIT09HQ+/PBD4uPjnT2tMmlnR0RERH6WsLAwNm7cyKZNm+jfvz/z58/n008/ZezYsc6eWpkMRxR7hYeHmypQ/okKyKxUYGil+8NK94eV7g8r3R9Wzro/4uPjmTt3LosXL7Zd69OnD4sXL6ZZs2ZcuHDBKfMyTbPMH4h2dkRERAQPDw8mT57M4cOHyc7OZv/+/Tz++ONl9o2IiGDv3r2Wa2vXrsXd3Z2wsDC7/o899hgpKSlcunSJQ4cO8fzzz+PuXnWVNKrZERERET744ANCQ0Pp06cP3377LVFRUSxYsICAgABef/11S98jR44QERHBt99+a7vWvHlz3N3dOX78uKXvhAkTGD58OI8++ijJycncc889vP/++7Rs2ZI//vGPVbG0q1uClf3q2LGjKT8B9Cr1Eitn/z6q20usnP37qG4vsaqsn2vz5s1N0zTNFi1aWK4PHTrUzMrKMj08PCzXw8PDzYMHD5oPP/ywWbduXbNDhw7mgQMHzIkTJ1r6eXh4mBcuXDBbt25tud61a1ezqKjIbNy4cWXfH2XmEu3siIiI3OTc3K5WtWRmZlqup6am4ufnR+PGjTl58qTtelJSEp07d2bXrl3ExMTw8MMPExoayv79+y3vDwwMpF69epw7d85yPT09nVq1auHl5eWgFVmpZkdEROQmd+zYMVasWMHMmTMttTS9e/fm+PHjfP/993bvuXDhApcvX+a7776zjXGt77//njNnzjB9+nTbuB4eHrz00kskJyfbHXk5inZ2REREhIceeogpU6awfv16ioqKWLBgAZMmTaJ///7lfgrOz8/PtuPj4+NDXl6epf3KlStMnDiRjz76iOLiYurVq0dkZCRwNUhVFe3siIiI3AS8vLyYOXMmJ0+eJDc3l40bN9KxY0dbe25uLhMmTCA2NpaWLVsSGhpKXFwcCQkJ5Y7p6+trCTtlmT9/Pv/973/Zv38/gwYNYurUqdx1112WT3NFRESwYcMG9u3bx1dffcVrr71WqUdcCjsiIiI3gTVr1hAaGkqPHj0ICgoiISGBbdu20bZtW7u+58+f58CBA3Tr1u26Y5YOO97e3uX2u/POO0lLSyM9PZ1//etfltqgLl26sGHDBv7xj3/Qvn17IiIicHNzY/Xq1b9wpfYUdkRERFxcbGwsISEh3H///Rw8eJAffviBl156ieXLl/PCCy/Y9c/IyODo0aP4+voSEhJS5ph16tTBw8PDVs9T3s7O7bffTn5+PqZpkpaWZtf+4osvMm/ePP7zn/8AUFRUxPPPP0/jxo3p0aPHL12yhcKOiIiIi2vXrh2JiYlcvHjRcn3r1q20a9fOrn9GRgZ+fn7s3LmT7t27lzmmn58fV65c4ezZsxQWFpYbdrp3787mzZsJCgoqM+y0bduWQ4cO2V1PTU0tc26/hMKOiIiIi0tNTaVVq1Z219u3b8///vc/u+vnz5/nlltuYcuWLeWGHV9fX3JycgDIzs4u9xgrOjraFnbK+sTWkSNHiImJsVyrW7cukZGR7Nu370ZLqxCFHRERERcXFxcHwKxZs2zP1Hn88cd57LHHePPNN+36Z2Rk0KhRI+Lj44mKiirzO7j8/PwsYae8nZ1u3boRFxdX7s7OxIkTGTBgAJMnTyY4OJiIiAjWrl3Ld999V2nfoq6wIyIi4uIKCgro06cPzZs359ChQyxZsoSnnnqKfv36sWHDBrv+JTs7iYmJeHt7l1nE7OvrS3Z2NgBZWVllhp0777yT06dPk5GRUW7Y2bZtG5s2baJx48bs37+ff//73yQnJ9O3b1+uXLlSCatX2BEREbkpnDhxgkGDBtGqVSuaN2/Ohg0bKCgoKLNvyc5Ofn4+u3btKvMoq/TOTnlhp6ReB6BFixZlHmO1bt2aTp06kZGRwezZs2nTpg3jxo0jIyPj1yzXQmFHRETkJrNixQpyc3MZM2ZMme0lOztAuXU7pWt2srKyyqzZKanXCQwMxDAM0tPT7fq88MILzJo1iz59+rBw4cJfs6xyKeyIiIjcZFasWEHPnj05efIkHTp0sGsv2dkBiI+Pp1u3brZanxIVqdnp3Lkz27ZtK7c4OTg4mPvuu4/169fj4+NTaQXJ11LYERERuckcOHCABg0asHLlSiZMmGDXnpGRYdvZ2bFjB15eXnah6NqdnWvDzl133cWRI0e4fPlyuWHnL3/5C2+//Ta9evVi8eLFlbU8Owo7IiIiN6GVK1cSFhaGp6cnwcHBlrbz58/bdnYuX77MV199ZXeUdW3NzrXHWKXrdVq2bGlXnNy8eXP69evH7NmzGTZsGIsWLarU9ZWmsCMiInITWrFiBUOGDOHtt9/mueees7Tl5ubi5uZm262Jj4+3Czs32tmJjo5m06ZNAGV+EmvSpEnMnTuXJk2aUFxczMGDByt1faUp7IiIiNyEEhMTadGiBUeOHKF9+/YEBgZa2jMzM227O1u2bKFr167UqlXL1n6jmp22bduye/duwD7sNG3alMGDBzNr1iyGDRvm0CMsUNgRERG5aa1evZrBgwfz7rvv8swzz1jaStftbN++ndq1axMeHm5rv95zdtq0aUNKSgqmaQLY1exMnDiRefPmcf78eYYOHerQIyxQ2BEREblplRxlLViwgPvvvx9/f39bW+m6nUuXLpGUlER0dLSt/Xo1O6XrdWrXrk1gYKBtZ6dx48YMHz6cN954gzZt2pCdnc2JEyccuk6FHRERkZtUXFwcISEhBAQEsHDhQsaOHWtrK72zA/Z1O9er2Sl5vg5cLU4+d+4ceXl5AEyYMIH58+dz7tw5hxcml1DYERERuUkVFhayYcMGBg8ezDvvvMOYMWPw8vICrM/agat1O5GRkbi7uwPXr9kpqQUC6xFWw4YNGTVqFDNnzgTggQce4LPPPnP4Om8YdgzDuM0wjC8Mw/jGMIxUwzDGOXxWIiIiUiVKjrJOnTrFli1bGD16NGB9ijJAQkICnp6edOrUCSj/Ccpt27Zl7969tveVLk5+5pln+PTTTzlz5gwdOnTg1KlTnD592uFrrMjOThHwrGmarYHOwP8ZhnGXY6clIiIiVWHdunWEh4cTGBjI7NmzefbZZ3F3d7fb2bl48SK7d++2HWVdW7NTt25dDMOge/futo+cw09hx9/fn9GjRzN9+nQAhg0b5rCvh7jWDcOOaZrppmnu+fGfc4BvgKaOnpiIiIg4Xk5ODvHx8QwePJidO3dy+vRpRowYYbezA9a6HR8fH8sxVnFxMT4+PkRFRREXF2d7T8kx1vjx41myZAmnTp0CYNCgQSxbtqxK1vizanYMw2gBdAB2OmQ2IiIiUuWWL1/OkCFDAJg9ezbPPfccmZmZdmFny5Yt3Hvvvfj7++Ph4WELO6ZpkpeXh5+fH/Xq1ePcuXO29wQFBXHu3DmeeOIJXn/9dQA6derE4cOHyczMrJL1VTjsGIbhAywDxpummV1G+x8Mw0gyDCPp7NmzlTlHERERcaC4uDi6dOnCU089xcqVK6lfvz6RkZGWYyy4Wrfj4eHBfffdB2ALO3D1KKtLly7s2bPH8p6WLVvSt29fVq1axZUrV/jrX//K0qVLWbduneMX9iP3inQyDMODq0FngWman5fVxzTN94D3AMLDw81Km6GIiIg4VH5+PrVq1WLOnDn86U9/4vjx4zz00EN4e3vTp08fEhISyMrKIjc3lz179tC/f38uXrzIlStXbGNkZWXRt29flixZQufOnYmMjKRr1674+PjwwAMPkJaWxokTJ2yf5srPz6+y9d0w7BiGYQDvA9+Ypvmm46ckIiIizhIcHGz5YtA1a9ZQXFxMSkoK27Zt49KlS/Tu3ZuioiKGDRtm6+fp6UmvXr148MEH8fDwsIzp7+9PWFgYmZmZnDp1ipCQkCpbD1RsZ6cL8BCQYhjGvh+v/cU0zarbfxIREZEqMXXqVI4dO8bQoUPp0aMHtWvXxs3NjXbt2tGuXTtL34o+EHDv3r288847LFiwgOeee676hR3TNBMAowrmIiIiIk524cIFPv74Yz7++GPq1avHwIEDGTJkCLGxsXh6elZ4nPz8fJYuXco///lPEhMTHTjjG6tQzY6IiIjcfLKyspg/fz7z58/Hw8PjZ4WdwsJCCgoKHDi7ilPYERERkRsqLCyksLDQ2dP4RfTdWCIiIuLSFHZERETEpSnsiIiIiEtTzY6IiIjYzJo1i1mzZjl7GpVKYUdERERstm/fTkpKisPGDw8PJzw83GHjl0VhR0RERGyWLFnC7NmzHTb+lClTqjzsqGZHREREXJrCjoiIiLg0hR0RERFxaQo7IiIi4tJUoCwiIiI2r7zyCpMnT3bY+HXr1nXY2OVR2BEREREbHx8ffHx8nD2NSqWwIyIicpP7/vvvMQzD2dNwGNXsiIiIiEtT2BERERGXprAjIiIiLk1hR0RERFyawo6IiIi4NIUdERERcWkKOyIiIuLSFHZERETEpSnsiIiIiEtT2BERERGXprAjIiIiLk1hR0RERFyawo6IiIi4NIUdERERcWnujhh09+7dLv1V8T+XaZrOnkK1onvDSveHle4PK90fVro/rHR//CQ8PLzcNu3siIiIiEtT2BERERGX5pBjLBERqfmOHj3KW2+9RWpqKoGBgTz66KN0797d2dMS+dm0syMiInZ2797NfffdR2xsLKtWrWLUqFGMGDGCt956y9lTE/nZDEcUNxmGoYqpUlRAZqUCQyvdH1a6P6ycdX9ERUUxZswYHnzwQdu1NWvWMGzYME6ePEn9+vWdMi/dH1b6++Mn4eHhJCUllXmDaGdHROQmUVBQwMsvv0xwcDC+vr6EhITw3nvv2fUzTZPExEQ6dOhgud6nTx+KiorYs2eP3Xvef/992rRpQ506dbj99tuZNm0ahYWFDluLyM+hmh0RkZvEY489RkpKCmvXruWOO+4gPj6ekSNHkpGRwaRJk2z9DMMgODiYxMRE7rjjDtv1EydOUFRURIsWLSzjzpgxg4ULF/Lhhx/Stm1bdu7cye9//3uOHTtWZpgSqXKmaVb6CzD1+uklVs7+fVS3l1g5+/dR3V6V5dixYyZgpqWlWa4vWrTI9PX1NfPz8y3Xd+3aZd5+++3mRx99ZObm5pq7d+8277zzTnPatGmWfvn5+aafn5+Zmppqub5lyxbTzc3NTE9Pr7Q1mKbuD0fdH66gY8eOpllOLtHOjojITaC4uBjArtYmJCSEnJwczpw5w2233Wa7fvfdd/Pll1/SqVMn4uLi+OSTT0hOTiY0NNTy/vT0dLKzs2nYsKHlemBgIMXFxVy6dMlBKxKpONXsiIjcBIKCghgwYAATJkyw1NKsW7eO5s2b07RpU7v31K9fnzp16thCUMuWLe36NG3alFtuuYWJEyfaxi0oKOBvf/sboaGhZb5HpKppZ0dE5CbxySef8OKLL9KrVy/c3d0ZOXIk06ZNY9WqVbi5lf3fvtnZ2TRr1gyA3NxcfHx8LO3u7u5Mnz6dRx99FDc3N7KyskhISACuBimR6kA7OyIiLuLixYv8+c9/pmnTpnh7exMbG0tSUpKt3dfXl7///e9s3ryZY8eOkZKSQkxMDF27di13zJycHEvYKcsjjzxC9+7dadOmDcuXL2fq1KkcOHCAsLAwW58dO3bwu9/9jnbt2hEeHs6kSZO4ePFiJa1c5PoUdkREXIBpmvTt25eUlBQ2b95MWloakZGRdO3ala+//tquf4MGDbjrrrvYunXrdZ/VUjrs5OXlldvv4MGDBAUFERgYyBNPPEGDBg1sbQkJCfTs2ZOnn36ar7/+msTERIqLi+nXr5+eEyNVQmFHRMQFbNq0idTUVD7//HNat25N48aNmTJlCoMGDeLVV1+16x8QEMBvf/tbcnJySE1NLXPMS5cuUVRUZKvnKW9n59ChQ9SuXRvDMAgKCrJrnzJlCqNHj6Znz54AeHh48Prrr3PmzBk2b978S5csUmEKOyIiLuDrr78mIiICb29vy/Vu3bqVubMTEBBAdnY299xzD1988UWZY2ZnZ+Pm5kajRo1wd3cvN+x88cUX9OjRg7S0tDLDTnJysuV5PXD1WT4hISFlzk2ksinsiIi4gJCQEA4fPmx3fd++ffzmN7+xu96gQQN++OEHoqKiyg07OTk5+Pr6YhgGfn5+5R5jxcfH28JOWZ++Cg4OJi4uznItLy+PhIQE2rdvX4HVifw6CjsiIi4gJiYGgHHjxnHlyhVM0+S9997jgw8+4JlnnrHrHxAQwNmzZ4mOjmbLli225/CUlp2dja+vLwB+fn7l7uxs3bqVmJiYcnd2pk+fzsqVK3n55Zc5fPgwO3bsoE+fPtx2221ER0f/ilWLVIzCjoiIC6hduzZr167lxIkT3HHHHQwZMoS33nqL1atX06tXL7v+JTs7ERER5OXlkZycbNcnJycHPz8/AOrVq1dm2Pnmm29o0qQJDRs2LDfsdOvWjdjYWM6cOUObNm14/PHHadu2LWvWrMHdXU9AEcdT2BERcREtWrRgxYoVHD58mBMnTtCzZ088PT3L7Fuys1OnTh06depU5lFW6Z2d8sJOSb2OaZocP368zGOsAwcOsGvXLgICAhg3bhypqanMmTPH7qnLIo6isCMi4mIMw2DgwIH4+Pgwd+7cMvuU7OwA5dbtlNTswNWwU1bNTkm9Tnp6OqZpEhgYaNfn1VdfZfz48axdu5bhw4f/mqWJ/CIKOyIiLmjgwIFs2LCBZs2asWfPHrv2kp0dgOjoaLZu3cqVK1csfSpSs/Pll1/StWtXW3GyYRiW9sOHD7Nx40Z69epFbm4uHTp0qKwlilSYwo6IiAsKCQnh/PnzDBgwgJkzZ9q1BwQE2HZ27r33Xi5dusTevXstfa7d2bk27KSmphIcHIyXl1e5n8R67bXXGDt2LOvXr2fYsGGVtTyRn0VhR0TERQ0YMIA9e/ZQUFBg97H0Bg0a2HZ2vLy8uPvuu+2Osq6t2bn2GKukXgfg2LFjdsXJx48fZ/Xq1YwbN47Fixfz4IMPVur6RCpKYUdExEUNHDiQJUuWMHbsWGbMmGFp8/X1pbi4mJycHODqUda1YedGOzvx8fHExsYClPlJrGnTpjFmzBhOnz6Nm5sbrVu3rtT1iVSUwo6IiIuKiIjg+PHjBAcHs2/fPk6dOmVpr1+/vm13Jyoqim3btlFUVGRrv17NjmmaJCcn07FjR8A+7Jw8eZJly5Yxfvx4Fi9erCMscSqFHRERF2UYBv369WPZsmU88cQTvPnmm5b20nU7Xbp0IT8/3/It6dd7zs7+/fsJDQ3Fze3qv0aurdmZPn06o0ePJiAggM8++0xHWOJUCjsiIi6s5Chr5MiRfP7552RmZtraStft1K1bl/DwcOLj423t16vZKV2vc/nyZdLT0207O6dPn2bhwoU8++yzpKSk4OfnR4sWLRy8UpHyKeyIiLiwmJgYUlNTycjIYPjw4bz99tu2ttI7O2Bft3O9mp2S5+vA1eLkhg0b4uPjA8DMmTMZNWoUjRo1UmGyVAsKOyIiLszT05OePXuybNkynnzySebOncvFixcB67N24GrdTkJCAoWFhUD5NTslT0tu1aoVYD3COnv2LPPnz2fChAkALF26lKFDh1bNYkXKccOwYxhGHcMwdhmG8bVhGKmGYbxYFRMTEZHKUXKU1bRpU6Kiopg3bx5gfYoyQGRkJAUFBezatQso/wnKycnJlocDli5OfvPNNxkxYgRNmjRhz5493HrrrWU+VVmkKlVkZycf+H9M02wHtAd6GobR2aGzEhGRStO7d2+SkpI4deoU48aN44033qCwsNBuZ8fb25uOHTvajrKurdm5dOkSxcXFfPHFF7aPnMNPYSczM5N58+YxceJEABYvXqyvh5Bq4YZhx7yq5KDW48eX6dBZiYhIpfHz8yM6Opply5bRuXNnmjRpwqeffmq3swPWup3c3FzLMZZhGOTm5rJlyxZiYmJs7yk5xpo1axZDhgyhadOmACxfvpzBgwdX0SpFylehmh3DMGoZhrEP+AHYZJrmTofOSkREKtWgQYNYsmQJAOPGjWPGjBnUr1/fLuxERUWxY8cOMjMzKSoqsoUdNzc3vL29yc7OJisri0aNGtnek5aWRsOGDXn33Xd5/vnnAdi5cyetWrWiQYMGVbRCkfJVKOyYpnnFNM32QDOgk2EYba7tYxjGHwzDSDIMI8luABERcaqYmBi2b9/OnDlzGDBgAJmZmSQkJFiOseBq3U5hYSEbN24EsIUduHqUtX37dsLCwizvOXbsGGvWrKF///7UqlWLl156iQceeIDevXs7fmEiFeD+czqbpnnBMIx4oCew/5q294D3AAzD0DGXiEg1Urt2bYqLixk3bhxz5syhRYsWfPLJJ+Tl5bFmzRoiIyPx9/fH19eXsLAwVq1ahZeXF+7uP/1rol69eqxZs4YhQ4aQmJhIQkIC27ZtIy8vj6VLlxIUFETz5s1t355eu3ZtZy1XxOKGYccwjEZA4Y9BxwvoAUx3+MxERMQhjh49ytGjR21/7tevH4ZhEBoaSteuXfHy8mLdunW4u7uzaNEiW7+CggLWr1/PokWLLF8rAZCVlcXevXvx9/fn1ltv5cCBA1W2HpEbqcjOTiAw3zCMWlw99vrMNM01jp2WiIg4ypQpU2jZsiWfffYZmzdvpqCgwPZdV8nJyZa+Ff00Vfv27XnyyScZOXIkM2bM4MUX9ZQSqT5uGHZM00wGOtyon4iI1Az+/v6MGjWKUaNGceHCBVasWMGSJUvYtGmT7YGCFeHp6ckDDzzA//3f/3Hvvfc6cMYiv87PqtkRERHX4u/vzyOPPMIjjzxCQUEBBQUFFX6vh4eH6nKkRlDYERER4OpOjaenp7OnIVLp9N1YIiIi4tIUdkRERMSlKeyIiIiIS1PNjojITebpp5/m6aefdvY0RKqMwo6IyE3m3nvvJTQ01GHjJyUlsXv3boeNL/JzKeyIiNxkhgwZwvjx4x02/tSpUxV2pFpRzY6IiIi4NIUdERERcWkKOyIiIuLSFHZERETEpalAWUTkJjN58mReeeUVh41/8eJFh40t8kso7IiI3GTy8vLIy8tz9jREqozCjojITaBZs2aYpunsaYg4hWp2RERExKUp7IiIiIhLU9gRERERl6awIyIiIi5NYUdERERcmsKOiIiIuDSFHREREXFpCjsiIiLi0hR2RERExKUp7IiIiIhLU9gRERERl6awIyIiIi5NYUdERERcmsKOiIiIuDR3RwzasWNHkpKSHDF0jWQYhrOnUK2YpunsKVQruj+sdH9Y6f6w0v1hpfujYrSzIyIiIi5NYUdERERcmkOOsUSqq6NHj/LWW2+RmppKYGAgjz76KN27d3f2tERExIG0syM3jd27d3PfffcRGxvLqlWrGDVqFCNGjOCtt95y9tRERMSBDEcUe4WHh5sqUP6JCsisnFVgGBUVxZgxY3jwwQdt19asWcOwYcM4efIk9evXd8q8dH9YqQDVSveHle4PK90fVqZplvkD0c6O1GgFBQW8/PLLBAcH4+vrS0hICO+9955dP9M0SUxMpEOHDpbrffr0oaioiD179ti95/3336dNmzbUqVOH22+/nWnTplFYWOiwtYiIiGOoZkdqtMcee4yUlBTWrl3LHXfcQXx8PCNHjiQjI4NJkybZ+hmGQXBwMImJidxxxx226ydOnKCoqIgWLVpYxp0xYwYLFy7kww8/pG3btuzcuZPf//73HDt2rMwwJSIi1ZhpmpX+6tixoyk/AfQq9aosx44dMwEzLS3Ncn3RokWmr6+vmZ+fb7m+a9cu8/bbbzc/+ugjMzc319y9e7d55513mtOmTbP0y8/PN/38/MzU1FTL9S1btphubm5menp6pa3BNHV/OOr+cBXO/n1Ut5dYOfv3Ud1eZjm5RDs7UmMVFxcD2NXahISEkJOTw5kzZ7jtttts1++++26+/PJLOnXqRFxcHJ988gnJycmEhoZa3p+enk52djYNGza0XA8MDKS4uJhLly45aEUiIuIIqtmRGisoKIgBAwYwYcIESy3NunXraN68OU2bNrV7T/369alTp44tBLVs2dKuT9OmTbnllluYOHGibdyCggL+9re/ERoaWuZ7RESk+tLOjtRon3zyCS+++CK9evXC3d2dkSNHMm3aNFatWoWbW9lZPjs7m2bNmgGQm5uLj4+Ppd3d3Z3p06fz6KOP4ubmRlZWFgkJCcDVICUiIjWLdnakWrt48SJ//vOfadq0Kd7e3sTGxlq+d83X15e///3vbN68mWPHjpGSkkJMTAxdu3Ytd8ycnBxL2CnLI488Qvfu3WnTpg3Lly9n6tSpHDhwgLCwMFufHTt28Lvf/Y527doRHh7OpEmTuHjxYiWtXEREKovCjlRbpmnSt29fUlJS2Lx5M2lpaURGRtK1a1e+/vpru/4NGjTgrrvuYuvWrdd9FkfpsJOXl1duv4MHDxIUFERgYCBPPPEEDRo0sLUlJCTQs2dPnn76ab7++msSExMpLi6mX79+eg6IiEg1o7Aj1damTZtITU3l888/p3Xr1jRu3JgpU6YwaNAgXn31Vbv+AQEB/Pa3vyUnJ4fU1NQyx7x06RJFRUW2ep7ydnYOHTpE7dq1MQyDoKAgu/YpU6YwevRoevbsCYCHhwevv/46Z86cYfPmzb90ySIi4gAKO1Jtff3110RERODt7W253q1btzJ3dgICAsjOzuaee+7hiy++KHPM7Oxs3NzcaNSoEe7u7uWGnS+++IIePXqQlpZWZthJTk62PK8Hrj7LJyQkpMy5iYiI8yjsSLUVEhLC4cOH7a7v27eP3/zmN3bXGzRowA8//EBUVFS5YScnJwdfX18Mw8DPz6/cY6z4+Hhb2Cnr01fBwcHExcVZruXl5ZGQkED79u0rsDoREakqCjtSbcXExAAwbtw4rly5gmmavPfee3zwwQc888wzdv0DAgI4e/Ys0dHRbNmyxfYcntKys7Px9fUFwM/Pr9ydna1btxITE1Puzs706dNZuXIlL7/8MocPH2bHjh306dOH2267jejo6F+xahERqWwKO1Jt1a5dm7Vr13LixAnuuOMOhgwZwltvvcXq1avp1auXXf+SnZ2IiAjy8vJITk6265OTk4Ofnx8A9erVKzPsfPPNNzRp0oSGDRuWG3a6detGbGwsZ86coU2bNjz++OO0bduWNWvW4O6uJzqIiFQnCjtSrbVo0YIVK1Zw+PBhTpw4Qc+ePfH09Cyzb8nOTp06dejUqVOZR1mld3bKCzsl9TqmaXL8+PEyj7EOHDjArl27CAgIYNy4caSmpjJnzhy7py6LiIjzKexIjWAYBgMHDsTHx4e5c+eW2adkZwcot26npGYHroadsmp2Sup10tPTMU2TwMBAuz6vvvoq48ePZ+3atQwfPvzXLE1ERBxMYUdqjIEDB7JhwwaaNWvGnj177NpLdnYAoqOj2bp1K1euXLH0qUjNzpdffknXrl1txcmGYVjaDx8+zMaNG+nVqxe5ubl06NChspYoIiIOoLAjNUZISAjnz59nwIABzJw50649ICDAtrNz7733cunSJfbu3Wvpc+3OzrVhJzU1leDgYLy8vMr9JNZrr73G2LFjWb9+PcOGDaus5YmIiIMo7EiNMmDAAPbs2UNBQYHdx9IbNGhg29nx8vLi7rvvtjvKurZm59pjrJJ6HYBjx47ZFScfP36c1atXM27cOBYvXsyDDz5YqesTEZHKp7AjNcrAgQNZsmQJY8eOZcaMGZY2X19fiouLycnJAa4eZV0bdm60sxMfH09sbCxAmZ/EmjZtGmPGjOH06dO4ubnRunXrSl2fiIhUPoUdqVEiIiI4fvw4wcHB7Nu3j1OnTlna69evb9vdiYqKYtu2bRQVFdnar1ezY5omycnJdOzYEbAPOydPnmTZsmWMHz+exYsX6whLRKSGUNiRGsUwDPr168eyZct44oknePPNNy3tpet2unTpQn5+vuVb0q/3nJ39+/cTGhqKm9vV/1lcW7Mzffp0Ro8eTUBAAJ999pmOsEREagiFHalxSo6yRo4cyeeff05mZqatrXTdTt26dQkPDyc+Pt7Wfr2andL1OpcvXyY9Pd22s3P69GkWLlzIs88+S0pKCn5+frRo0cLBKxURkcqgsCM1TkxMDKmpqWRkZDB8+HDefvttW1vpnR2wr9u5Xs1OyfN14GpxcsOGDfHx8QFg5syZjBo1ikaNGqkwWUSkhlHYkRrH09OTnj17smzZMp588knmzp3LxYsXAeuzduBq3U5CQgKFhYVA+TU7JU9LbtWqFWA9wjp79izz589nwoQJACxdupShQ4dWzWJFRORXq3DYMQyjlmEYew3DWOPICYlURMlRVtOmTYmKimLevHmA9SnKAJGRkRQUFLBr1y6g/CcoJycnWx4OWLo4+c0332TEiBE0adKEPXv2cOutt5b5VGUREamefs7OzjjgG0dNROTn6N27N0lJSZw6dYpx48bxxhtvUFhYaLez4+3tTceOHW1HWdfW7Fy6dIni4mK++OIL20fO4aewk5mZybx585g4cSIAixcv1tdDiIjUMBUKO4ZhNAP6APMcOx2RivHz8yM6Opply5bRuXNnmjRpwqeffmq3swPWup3c3FzLMZZhGOTm5rJlyxZiYmJs7yk5xpo1axZDhgyhadOmACxfvpzBgwdX0SpFRKQyVHRnZxbwHFDsuKmI/DyDBg1iyZIlAIwbN44ZM2ZQv359u7ATFRXFjh07yMzMpKioyBZ23Nzc8Pb2Jjs7m6ysLBo1amR7T1paGg0bNuTdd9/l+eefB2Dnzp20atWKBg0aVNEKRUSkMtww7BiG0Rf4wTTN3Tfo9wfDMJIMw0gqfYwg4igxMTFs376dOXPmMGDAADIzM0lISODa+y8yMpLCwkI2btwIYAs7cPUoa/v27YSFhVnec+zYMdasWUP//v2pVasWL730Eg888AC9e/d2/MJERKRSGaZpXr+DYUwDHgKKgDqAH/C5aZr/b3nvCQ8PN0s/yO1md+23Zt/sbnTPVdTJkye57bbbAPjtb3/LLbfcwsGDB8nLy2PZsmVERkbi7+8PQKdOnWjVqhXLly+3fXILrn65aFhYGEOGDKFRo0YkJCSwbds2Vq9eTb169QgKCiI5Odn27en//ve/GT16dKXMv4TuD6vKuj9che4PK90fVro/rEzTLPMH4l6BN04CJgEYhhEN/Pl6QUfEGY4ePcrRo0dtf+7Xrx+GYRAaGkrXrl3x8vJi3bp1uLu7s2jRIlu/goIC1q9fz6JFiyxfKwGQlZXF3r178ff359Zbb+XAgQNVth4REak8Nww7IjXBlClTaNmyJZ999hmbN2+moKDA9l1XycnJlr4V/TRV+/btefLJJxk5ciQzZszgxRdfdMTURUTEwX7WQwVN04w3TbOvoyYj8kv5+/szatQo1q5dy5kzZ/jwww/p3bs3Hh4eP2scT09PRowYwfbt29m7dy+PP/44devWddCsRUSkKmhnR1yOv78/jzzyCI888ggFBQUUFBRU+L0eHh7Url3bgbMTEZGqprAjLs3T0xNPT09nT0NERJxI340lIiIiLk1hR0RERFyawo6IiIi4NNXsiEt4+umnefrpp509DRERqYYUdsQl3HvvvYSGhjps/KSkJHbvvu43poiISDWlsCMuYciQIYwfP95h40+dOlVhR0SkhlLNjoiIiLg0hR0RERFxaQo7IiIi4tIUdkRERMSlqUBZXMLkyZN55ZVXHDb+xYsXHTa2iIg4lsKOuIS8vDzy8vKcPQ0REamGFHakxmrWrBmmaTp7GiIiUs2pZkdERERcmsKOiIiIuDSFHREREXFpCjsiIiLi0hR2RERExKUp7IiIiIhLU9gRERERl6awIyIiIi5NYUdERERcmsKOiIiIuDSFHREREXFpCjsiIiLi0hR2RERExKUp7IiIiIhLc3fEoLt378YwDEcMXSOZpunsKVQrujesdH9Y6f6w0v1hpfvDSvfHT8LDw8tt086OiIiIuDSFHREREXFpDjnGEhERcTVBQUE89dRThISEkJ6ezocffkh8fLyzpyUVoJ0dERGRGwgLC2Pjxo1s2rSJ/v37M3/+fD799FPGjh3r7KlJBRiOKG4yDEMVU6WogMxKBYZWuj+sdH9Y6f6wctb9ER8fz9y5c1m8eLHtWp8+fVi8eDHNmjXjwoULTpmX7o+fhIeHk5SUVOYNop0dERG5KXl4eDB58mQOHz5MdnY2+/fv5/HHHy+zb0REBHv37rVcW7t2Le7u7oSFhdn1f+yxx0hJSeHSpUscOnSI559/Hnd3VY44i37yIiJyU/rggw8IDQ2lT58+fPvtt0RFRbFgwQICAgJ4/fXXLX2PHDlCREQE3377re1a8+bNcXd35/jx45a+EyZMYPjw4Tz66KMkJydzzz338P7779OyZUv++Mc/VsXS5FqmaVb6CzD1+uklVs7+fVS3l1g5+/dR3V5iVVk/1+bNm5umaZotWrSwXB86dKiZlZVlenh4WK6Hh4ebBw8eNB9++GGzbt26ZocOHcwDBw6YEydOtPTz8PAwL1y4YLZu3dpyvWvXrmZRUZHZuHFj3R8O0rFjR9MsJ5doZ0dERG46bm5XqzgyMzMt11NTU/Hz86Nx48acPHnSdj0pKYnOnTuza9cuYmJiePjhhwkNDWX//v2W9wcGBlKvXj3OnTtnuZ6enk6tWrXw8vJy0IrkelSzIyIiN51jx46xYsUKZs6caaml6d27N8ePH+f777+3e8+FCxe4fPky3333nW2Ma33//fecOXOG6dOn28b18PDgpZdeIjk52e7IS6qGdnZEROSm9NBDDzFlyhTWr19PUVERCxYsYNKkSfTv37/cTzn5+fnZdnx8fHzIy8uztF+5coWJEyfy0UcfUVxcTL169YiMjASuBilxDu3siIiIS/Ly8mLmzJmcPHmS3NxcNm7cSMeOHW3tubm5TJgwgdjYWFq2bEloaChxcXEkJCSUO6avr68l7JRl/vz5/Pe//2X//v0MGjSIqVOnctddd1k+zRUREcGGDRvYt28fX331Fa+99pqOuBxIYUdERFzSmjVrCA0NpUePHgQFBZGQkMC2bdto27atXd/z589z4MABunXrdt0xS4cdb2/vcvvdeeedpKWlkZ6ezr/+9S9LbVCXLl3YsGED//jHP2jfvj0RERG4ubmxevXqX7hSuRGFHRERcTmxsbGEhIRw//33c/DgQX744Qdeeuklli9fzgsvvGDXPyMjg6NHj+Lr60tISEiZY9apUwcPDw9bPU95Ozu33347+fn5mKZJWlqaXfuLL77IvHnz+M9//gNAUVERzz//PI0bN6ZHjx6/dMlyHQo7IiLictq1a0diYiIXL160XN+6dSvt2rWz65+RkYGfnx87d+6ke/fuZY7p5+fHlStXOHv2LIWFheWGne7du7N582aCgoLKDDtt27bl0KFDdtdTU1PLnJv8ego7IiLiclJTU2nVqpXd9fbt2/O///3P7vr58+e55ZZb2LJlS7lhx9fXl5ycHACys7PLPcaKjo62hZ2yPrF15MgRYmJiLNfq1q1LZGQk+/btu9HS5BdQ2BEREZcTFxcHwKxZs2zP1Hn88cd57LHHePPNN+36Z2Rk0KhRI+Lj44mKiirzO7j8/PwsYae8nZ1u3boRFxdX7s7OxIkTGTBgAJMnTyY4OJiIiAjWrl3Ld999p29RdxCFHRERcTkFBQX06dOH5s2bc+jQIZYsWcJTTz1Fv3792LBhg13/kp2dxMREvL29yyxi9vX1JTs7G4CsrKwyw86dd97J6dOnycjIKDfsbNu2jU2bNtG4cWP279/Pv//9b5KTk+nbty9XrlyphNXLtRR2RETEJZ04cYJBgwbRqlUrmjdvzoYNGygoKCizb8nOTn5+Prt27SrzKKv0zk55YaekXgegRYsWZR5jtW7dmk6dOpGRkcHs2bNp06YN48aNIyMj49csV65DYUdERFzeihUryM3NZcyYMWW2l+zsAOXW7ZSu2cnKyiqzZqekXicwMBDDMEhPT7fr88ILLzBr1iz69OnDwoULf82ypIIUdkRExOWtWLGCnj17cvLkSTp06GDXXrKzAxAfH0+3bt1stT4lKlKz07lzZ7Zt21ZucXJwcDD33Xcf69evx8fHRwXJVURhR0REXN6BAwdo0KABK1euZMKECXbtGRkZtp2dHTt24OXlZReKrt3ZuTbs3HXXXRw5coTLly+XG3b+8pe/8Pbbb9OrVy8WL15cWcuTG1DYERGRm8LKlSsJCwvD09OT4OBgS9v58+dtOzuXL1/mq6++sjvKurZm59pjrNL1Oi1btrQrTm7evDn9+vVj9uzZDBs2jEWLFlXq+qR8CjsiInJTWLFiBUOGDOHtt9/mueees7Tl5ubi5uZm262Jj4+3Czs32tmJjo5m06ZNAGV+EmvSpEnMnTuXJk2aUFxczMGDByt1fVI+hR0REbkpJCYm0qJFC44cOUL79u0JDAy0tGdmZtp2d7Zs2ULXrl2pVauWrf1GNTtt27Zl9+7dgH3Yadq0KYMHD2bWrFkMGzZMR1hVTGFHRERuGqtXr2bw4MG8++67PPPMM5a20nU727dvp3bt2oSHh9var/ecnTZt2pCSkoJpmgB2NTsTJ05k3rx5nD9/nqFDh+oIq4op7IiIyE2j5ChrwYIF3H///fj7+9vaStftXLp0iaSkJKKjo23t16vZKV2vU7t2bQIDA207O40bN2b48OG88cYbtGnThuzsbE6cOOHglUppCjsiInLTiIuLIyQkhICAABYuXMjYsWNtbaV3dsC+bud6NTslz9eBq8XJ586dIy8vD4AJEyYwf/58zp07p8JkJ1HYERGRm0ZhYSEbNmxg8ODBvPPOO4wZMwYvLy/A+qwduFq3ExkZibu7O3D9mp2SWiCwHmE1bNiQUaNGMXPmTAAeeOABPvvsM8cvVCwqFHYMwzhuGEaKYRj7DMNIcvSkREREHKXkKOvUqVNs2bKF0aNHA9anKAMkJCTg6elJp06dgPKfoNy2bVv27t1re1/p4uRnnnmGTz/9lDNnztChQwdOnTrF6dOnq2Sd8pOfs7PT3TTN9qZpht+4q4iISPW0bt06wsPDCQwMZPbs2Tz77LO4u7vb7excvHiR3bt3246yrq3ZqVu3LoZh0L17d9tHzuGnsOPv78/o0aOZPn06AMOGDdPXQziJjrFEROSmkpOTQ3x8PIMHD2bnzp2cPn2aESNG2O3sgLVux8fHx3KMVVxcjI+PD1FRUcTFxdneU3KMNX78eJYsWcKpU6cAGDRoEMuWLauiVUppFQ07JrDRMIzdhmH8wZETEhERcbTly5czZMgQAGbPns1zzz1HZmamXdjZsmUL9957L/7+/nh4eNjCjmma5OXl4efnR7169Th37pztPUFBQZw7d44nnniC119/HYBOnTpx+PBhMjMzq2iFUlpFw04X0zTDgF7A/xmG0e3aDoZh/MEwjCTV9IiISHUXFxdHly5deOqpp1i5ciX169cnMjLScowFV+t2PDw8uO+++wBsYQeuHmV16dKFPXv2WN7TsmVL+vbty6pVq7hy5Qp//etfWbp0KevWrXP8wqRM7hXpZJrmqR//7w+GYSwHOgFbr+nzHvAegGEYZiXPU0REpNLk5+dTq1Yt5syZw5/+9CeOHz/OQw89hLe3N3369CEhIYGsrCxyc3PZs2cP/fv35+LFi1y5csU2RlZWFn379mXJkiV07tyZyMhIunbtio+PDw888ABpaWmcOHHC9mmu/Px8Zy33pnfDsGMYhjfgZppmzo//fB/wksNnJiIiUgWCg4MtXwy6Zs0aiouLSUlJYdu2bVy6dInevXtTVFTEsGHDbP08PT3p1asXDz74IB4eHpYx/f39CQsLIzMzk1OnThESElJl6xF7FdnZaQwsNwyjpP+npmlucOisREREqsjUqVM5duwYQ4cOpUePHtSuXRs3NzfatWtHu3btLH0r+kDAvXv38s4777BgwQKee+45hR0nu2HYMU0zDWh3o34iIiI10YULF/j444/5+OOPqVevHgMHDmTIkCHExsbi6elZ4XHy8/NZunQp//znP0lMTHTgjOXnqlDNjoiIyM0gKyuL+fPnM3/+fDw8PH5W2CksLKSgoMCBs5NfSmFHRESkDIWFhRQWFjp7GlIJ9FBBERERcWkKOyIiIuLSFHZERETEpalmR0REbmqzZs1i1qxZzp6GOJDCjoiI3NS2b99OSkqKw8YPDw8nPDzcYePLjSnsiIjITW3JkiXMnj3bYeNPmTJFYcfJVLMjIiIiLk1hR0RERFyawo6IiIi4NIUdERERcWkqUBYRkZvaK6+8wuTJkx02ft26dR02tlSMwo6IiNzUfHx88PHxcfY0xIEUdkRE5Kbz/fffYxiGs6chVUQ1OyIiIuLSFHZERETEpSnsiIiIiEtT2BERERGXprAjIiIiLk1hR0RERFyawo6IiIi4NIUdERERcWkKOyIiIuLSFHZERETEpSnsiIiIiEtT2BERERGXprAjIiIiLk1hR0RERFyauyMG7dixI0lJSY4YukYyDMPZU6hWTNN09hSqFd0fVro/rHR/WOn+sNL9UTHa2RERERGXprAjIiIiLs0hx1hSvQQFBfHUU08REhJCeno6H374IfHx8c6eloiISJXQzo6LCwsLY+PGjWzatIn+/fszf/58Pv30U8aOHevsqYmIiFQJwxHFXuHh4aYKlH/izAKy+Ph45s6dy+LFi23X+vTpw+LFi2nWrBkXLlyo8jmpwNBKBYZWuj+sdH9Y6f6w0v1hZZpmmT8Q7ezUQB4eHkyePJnDhw+TnZ3N/v37efzxx8vsGxERwd69ey3X1q5di7u7O2FhYXb9H3vsMVJSUrh06RKHDh3i+eefx91dp50iIlJz6d9iNdAHH3xAaGgoffr04dtvvyUqKooFCxYQEBDA66+/bul75MgRIiIi+Pbbb23Xmjdvjru7O8ePH7f0nTBhAsOHD+fRRx8lOTmZe+65h/fff5+WLVvyxz/+sSqWJiIiUvlM06z0V8eOHU35CVBpr+bNm5umaZotWrSwXB86dKiZlZVlenh4WK6Hh4ebBw8eNB9++GGzbt26ZocOHcwDBw6YEydOtPTz8PAwL1y4YLZu3dpyvWvXrmZRUZHZuHHjSluDWFXm/eEKL7Fy9u+jur3Eytm/j+r2MsvJJdrZqWHc3K6ePGZmZlqup6am4ufnR+PGjTl58qTtelJSEp07d2bXrl3ExMTw8MMPExoayv79+y3vDwwMpF69epw7d85yPT09nVq1auHl5eWgFYmIiDiWanZqmGPHjrFixQpmzpxpqaXp3bs3x48f5/vvv7d7z4ULF7h8+TLfffedbYxrff/995w5c4bp06fbxvXw8OCll14iOTnZ7shLRESkptDOTg300EMPMWXKFNavX09RURELFixg0qRJ9O/fv9xPKvj5+dl2fHx8fMjLy7O0X7lyhYkTJ/LRRx9RXFxMvXr1iIyMBK4GKRERkZpKOzvVkJeXFzNnzuTkyZPk5uayceNGOnbsaGvPzc1lwoQJxMbG0rJlS0JDQ4mLiyMhIaHcMX19fS1hpyzz58/nv//9L/v372fQoEFMnTqVu+66y/JproiICDZs2MC+ffv46quveO2113TEJSIi1ZrCTjW0Zs0aQkND6dGjB0FBQSQkJLBt2zbatm1r1/f8+fMcOHCAbt26XXfM0mHH29u73H533nknaWlppKen869//ctSG9SlSxc2bNjAP/7xD9q3b09ERARubm6sXr36F65URETE8RR2qpnY2FhCQkK4//77OXjwID/88AMvvfQSy5cv54UXXrDrn5GRwdGjR/H19SUkJKTMMevUqYOHh4etnqe8nZ3bb7+d/Px8TNMkLS3Nrv3FF19k3rx5/Oc//wGgqKiI559/nsaNG9OjR49fumQRERGHUtipZtq1a0diYiIXL160XN+6dSvt2rWz65+RkYGfnx87d+6ke/fuZY7p5+fHlStXOHv2LIWFheWGne7du7N582aCgoLKDDtt27bl0KFDdtdTU1PLnJuIiEh1oLBTzaSmptKqVSu76+3bt+d///uf3fXz589zyy23sGXLlnLDjq+vLzk5OQBkZ2eXe4wVHR1tCztlfWLryJEjxMTEWK7VrVuXyMhI9u3bd6OliYiIOIXCTjUTFxcHwKxZs2zP1Hn88cd57LHHePPNN+36Z2Rk0KhRI+Lj44mKiirze1L8/PwsYae8nZ1u3boRFxdX7s7OxIkTGTBgAJMnTyY4OJiIiAjWrl3Ld999p29RFxGRakthp5opKCigT58+NG/enEOHDrFkyRKeeuop+vXrx4YNG+z6l+zsJCYm4u3tXWYRs6+vL9nZ2QBkZWWVGXbuvPNOTp8+TUZGRrlhZ9u2bWzatInGjRuzf/9+/v3vf5OcnEzfvn25cuVKJaxeRESk8insVEMnTpxg0KBBtGrViubNm7NhwwYKCgrK7Fuys5Ofn8+uXbvKPMoqvbNTXtgpqdcBaNGiRZnHWK1bt6ZTp05kZGQwe/Zs2rRpw7hx48jIyPg1yxUREXEohZ1qbsWKFeTm5jJmzJgy20t2doBy63ZK1+xkZWWVWbNTUq8TGBiIYRikp6fb9XnhhReYNWsWffr0YeHChb9mWSIiIlVGYaeaW7FiBT179uTkyZN06NDBrr1kZwcgPj6ebt262Wp9SlSkZqdz585s27at3OLk4OBg7rvvPtavX4+Pj48KkkVEpMZQ2KnmDhw4QIMGDVi5ciUTJkywa8/IyLDt7OzYsQMvLy+7UHTtzs61Yeeuu+7iyJEjXL58udyw85e//IW3336bXr16sXjx4spanoiIiMMp7NQAK1euJCwsDE9PT4KDgy1t58+ft+3sXL58ma+++sruKOvamp1rj7FK1+u0bNnSrji5efPm9OvXj9mzZzNs2DAWLVpUqesTERFxJIWdGmDFihUMGTKEt99+m+eee87Slpubi5ubm223Jj4+3i7s3GhnJzo6mk2bNgGU+UmsSZMmMXfuXJo0aUJxcTEHDx6s1PWJiIg4ksJODZCYmEiLFi04cuQI7du3JzAw0NKemZlp293ZsmULXbt2pVatWrb2G9XstG3blt27dwP2Yadp06YMHjyYWbNmMWzYMB1hiYhIjaOwU0OsXr2awYMH8+677/LMM89Y2krX7Wzfvp3atWsTHh5ua7/ec3batGlDSkoKpmkC2NXsTJw4kXnz5nH+/HmGDh2qIywREalxFHZqiJKjrAULFnD//ffj7+9vaytdt3Pp0iWSkpKIjo62tV+vZqd0vU7t2rUJDAy07ew0btyY4cOH88Ybb9CmTRuys7M5ceKEg1cqIiJSuRR2aoi4uDhCQkIICAhg4cKFjB071tZWemcH7Ot2rlezU/J8HbhanHzu3Dny8vIAmDBhAvPnz+fcuXMqTBYRkRpLYaeGKCwsZMOGDQwePJh33nmHMWPG4OXlBViftQNX63YiIyNxd3cHrl+zU1ILBNYjrIYNGzJq1ChmzpwJwAMPPMBnn33m+IWKiIhUsgqFHcMw/A3DWGoYxkHDML4xDCPC0RMTeyVHWadOnWLLli2MHj0asD5FGSAhIQFPT086deoElP8E5bZt27J3717b+0oXJz/zzDN8+umnnDlzhg4dOnDq1ClOnz5dJesUERGpTBXd2ZkNbDBN806gHfCN46Yk5Vm3bh3h4eEEBgYye/Zsnn32Wdzd3e12di5evMju3bttR1nX1uzUrVsXwzDo3r277SPn8FPY8ff3Z/To0UyfPh2AYcOG6eshRESkxrph2DEMww/oBrwPYJpmgWmaFxw8LylDTk4O8fHxDB48mJ07d3L69GlGjBhht7MD1rodHx8fyzFWcXExPj4+REVFERcXZ3tPyTHW+PHjWbJkCadOnQJg0KBBLFu2rIpWKSIiUrkqsrMTBJwFPjQMY69hGPMMw7D/JkmpEsuXL2fIkCEAzJ49m+eee47MzEy7sLNlyxbuvfde/P398fDwsIUd0zTJy8vDz8+PevXqce7cOdt7goKCOHfuHE888QSvv/46AJ06deLw4cNkZmZW0QpFREQqV0XCjjsQBsw1TbMDkAc8f20nwzD+YBhGkmEYSWfPnq3kaUqJuLg4unTpwlNPPcXKlSupX78+kZGRlmMsuFq34+HhwX333QdgCztw9SirS5cu7Nmzx/Keli1b0rdvX1atWsWVK1f461//ytKlS1m3bp3jFyYiIuIg7hXocxI4aZrmzh//vJQywo5pmu8B7wGEh4eblTZDscjPz6dWrVrMmTOHP/3pTxw/fpyHHnoIb29v+vTpQ0JCAllZWeTm5rJnzx769+/PxYsXuXLlim2MrKws+vbty5IlS+jcuTORkZF07doVHx8fHnjgAdLS0jhx4oTt01z5+fnOWq6IiMivdsOwY5rmacMwvjMM4w7TNA8BMcABx09NbiQ4ONjyxaBr1qyhuLiYlJQUtm3bxqVLl+jduzdFRUUMGzbM1s/T05NevXrx4IMP4uHhYRnT39+fsLAwMjMzOXXqFCEhIVW2HhEREUeoyM4OwFPAAsMwPIE04FHHTUkqaurUqRw7doyhQ4fSo0cPateujZubG+3ataNdu3aWvhV9IODevXt55513WLBgAc8995zCjoiI1HgVCjumae4Dwm/UT6rWhQsX+Pjjj/n444+pV68eAwcOZMiQIcTGxuLp6VnhcfLz81m6dCn//Oc/SUxMdOCMRUREql5Fd3akmsvKymL+/PnMnz8fDw+PnxV2CgsLKSgocODsREREnEdhxwUVFhZSWFjo7GmIiIhUC/puLBEREXFpCjsiIiLi0hR2RERExKWpZqcGmzVrFrNmzXL2NERERKo1hZ0abPv27aSkpDhs/PDwcMLD9cQBERGp2RR2arAlS5Ywe/Zsh40/ZcoUhR0REanxVLMjIiIiLk1hR0RERFyawo6IiIi4NIUdERERcWkqUK7BXnnlFSZPnuyw8evWreuwsUVERKqKwk4N5uPjg4+Pj7OnISIiUq0p7NQw33//PYZhOHsaIiIiNYZqdkRERMSlKeyIiIiIS1PYEREREZemsCMiIiIuTWFHREREXJrCjoiIiLg0hR0RERFxaQo7IiIi4tIUdkRERMSlKeyIiIiIS1PYEREREZemsCMiIiIuTWFHREREXJrCjoiIiLg0d0cMunv3bgzDcMTQNZJpms6eQrWie8NK94eV7g8r3R9Wuj+sdH/8JDw8vNw27eyIiIiIS1PYEREREZfmkGMsEakZjh49yltvvUVqaiqBgYE8+uijdO/e3dnTEhGpVNrZEblJ7d69m/vuu4/Y2FhWrVrFqFGjGDFiBG+99ZazpyYiUqkMRxQ3GYahiqlSVEBmpQJDK2fdH1FRUYwZM4YHH3zQdm3NmjUMGzaMkydPUr9+fafMS/eHlf7+sNL9YaX74yfh4eEkJSWVeYNoZ0fEhRQUFPDyyy8THByMr68vISEhvPfee3b9TNMkMTGRDh06WK736dOHoqIi9uzZY/ee999/nzZt2lCnTh1uv/12pk2bRmFhocPWIiJSWVSzI+JCHnvsMVJSUli7di133HEH8fHxjBw5koyMDCZNmmTrZxgGwcHBJCYmcscdd9iunzhxgqKiIlq0aGEZd8aMGSxcuJAPP/yQtm3bsnPnTn7/+99z7NixMsOUiEi1Yppmpb8AU6+fXmLl7N9HdXtVlmPHjpmAmZaWZrm+aNEi09fX18zPz7dc37Vrl3n77bebH330kZmbm2vu3r3bvPPOO81p06ZZ+uXn55t+fn5mamqq5fqWLVtMNzc3Mz09vdLWYJq6Pxx1f7gKZ/8+qttLftKxY0fTLCeXaGdHxEUUFxcD2NXahISEkJOTw5kzZ7jtttts1++++26+/PJLOnXqRFxcHJ988gnJycmEhoZa3p+enk52djYNGza0XA8MDKS4uJhLly45aEUiIpVDNTsiLiIoKIgBAwYwYcIESy3NunXraN68OU2bNrV7T/369alTp44tBLVs2dKuT9OmTbnllluYOHGibdyCggL+9re/ERoaWuZ7RESqE+3siLiQTz75hBdffJFevXrh7u7OyJEjmTZtGqtWrcLNrez/tsnOzqZZs2YA5Obm4uPjY2l3d3dn+vTpPProo7i5uZGVlUVCQgJwNUiJiFR32tkRqUEuXrzIn//8Z5o2bYq3tzexsbEkJSXZ2n19ffn73//O5s2bOXbsGCkpKcTExNC1a9dyx8zJybGEnbI88sgjdO/enTZt2rB8+XKmTp3KgQMHCAsLs/XZsWMHv/vd72jXrh3h4eFMmjSJixcvVtLKRUR+OYUdkRrCNE369u1LSkoKmzdvJi0tjcjISLp27crXX39t179BgwbcddddbN269brP4igddvLy8srtd/DgQYKCgggMDOSJJ56gQYMGtraEhAR69uzJ008/zddff01iYiLFxcX069dPzwEREadT2BGpITZt2kRqaiqff/45rVu3pnHjxkyZMoVBgwbx6quv2vUPCAjgt7/9LTk5OaSmppY55qVLlygqKrLV85S3s3Po0CFq166NYRgEBQXZtU+ZMoXRo0fTs2dPADw8PHj99dc5c+YMmzdv/qVLFhGpFAo7IjXE119/TUREBN7e3pbr3bp1K3NnJyAggOzsbO655x6++OKLMsfMzs7Gzc2NRo0a4e7uXm7Y+eKLL+jRowdpaWllhp3k5GTL83rg6rN8QkJCypybiEhVUtgRqSFCQkI4fPiw3fV9+/bxm9/8xu56gwYN+OGHH4iKiio37OTk5ODr64thGPj5+ZV7jBUfH28LO2V9+io4OJi4uDjLtby8PBISEmjfvn0FVici4jgKOyI1RExMDADjxo3jypUrmKbJe++9xwcffMAzzzxj1z8gIICzZ88SHR3Nli1bbM/hKS07OxtfX18A/Pz8yt3Z2bp1KzExMeXu7EyfPp2VK1fy8ssvc/jwYXbs2EGfPn247bbbiI6O/hWrFhH59RR2RGqI2rVrs3btWk6cOMEdd9zBkCFDeOutt1i9ejW9evWy61+ysxMREUFeXh7Jycl2fXJycvDz8wOgXr16ZYadb775hiZNmtCwYcNyw063bt2IjY3lzJkztGnThscff5y2bduyZs0a3N31hAsRcS6FHZEapEWLFqxYsYLDhw9z4sQJevbsiaenZ5l9S3Z26tSpQ6dOnco8yiq9s1Ne2Cmp1zFNk+PHj5d5jHXgwAF27dpFQEAA48aNIzU1lTlz5tg9dVlExBkUdkRqIMMwGDhwID4+PsydO7fMPiU7O0C5dTslNTtwNeyUVbNTUq+Tnp6OaZoEBgba9Xn11VcZP348a9euZfjw4b9maSIilU5hR6SGGjhwIBs2bKBZs2bs2bPHrr1kZwcgOjqarVu3cuXKFUufitTsfPnll3Tt2tVWnGwYhqX98OHDbNy4kV69epGbm0uHDh0qa4kiIpVCYUekhgoJCeH8+fMMGDCAmTNn2rUHBATYdnbuvfdeLl26xN69ey19rt3ZuTbspKamEhwcjJeXV7mfxHrttdcYO3Ys69evZ9iwYZW1PBGRSqOwI1KDDRgwgD179lBQUGD3sfQGDRrYdna8vLy4++677Y6yrq3ZufYYq6ReB+DYsWN2xcnHjx9n9erVjBs3jsWLF/Pggw9W6vpERCqDwo5IDTZw4ECWLFnC2LFjmTFjhqXN19eX4uJicnJygKtHWdeGnRvt7MTHxxMbGwtQ5iexpk2bxpgxYzh9+jRubm60bt26UtcnIlIZFHZEarCIiAiOHz9OcHAw+/bt49SpU5b2+vXr23Z3oqKi2LZtG0VFRbb269XsmKZJcnIyHTt2BOzDzsmTJ1m2bBnjx49n8eLFOsISkWpLYUekBjMMg379+rFs2TKeeOIJ3nzzTUt76bqdLl26kJ+fb/mW9Os9Z2f//v2Ehobi5nb1r4lra3amT5/O6NGjCQgI4LPPPtMRlohUWwo7IjVcyVHWyJEj+fzzz8nMzLS1la7bqVu3LuHh4cTHx9var1ezU7pe5/Lly6Snp9t2dk6fPs3ChQt59tlnSUlJwc/PjxYtWjh4pSIiv4zCjkgNFxMTQ2pqKhkZGQwfPpy3337b1lZ6Zwfs63auV7NT8nwduFqc3LBhQ3x8fACYOXMmo0aNolGjRipMFpFqT2FHpIbz9PSkZ8+eLFu2jCeffJK5c+dy8eJFwPqsHbhat5OQkEBhYSFQfs1OydOSW7VqBViPsM6ePcv8+fOZMGECAEuXLmXo0KFVs1gRkV/ghmHHMIw7DMPYV+qVbRjG+CqYm4hUUMlRVtOmTYmKimLevHmA9SnKAJGRkRQUFLBr1y6g/CcoJycnWx4OWLo4+c0332TEiBE0adKEPXv2cOutt5b5VGURkerihmHHNM1Dpmm2N02zPdARuAgsd/TERKTievfuTVJSEqdOnWLcuHG88cYbFBYW2u3seHt707FjR9tR1rU1O5cuXaK4uJgvvvjC9pFz+CnsZGZmMm/ePCZOnAjA4sWL9fUQIlLt/dxjrBjgqGmaJxwxGRH5Zfz8/IiOjmbZsmV07tyZJk2a8Omnn9rt7IC1bic3N9dyjGUYBrm5uWzZsoWYmBjbe0qOsWbNmsWQIUNo2rQpAMuXL2fw4MFVtEoRkV/m54adB4GFjpiIiPw6gwYNYsmSJQCMGzeOGTNmUL9+fbuwExUVxY4dO8jMzKSoqMgWdtzc3PD29iY7O5usrCwaNWpke09aWhoNGzbk3Xff5fnnnwdg586dtGrVigYNGlTRCkVEfpkKhx3DMDyB/sCSctr/YBhGkmEYSWW1i4hjxcTEsH37dubMmcOAAQPIzMwkISHBcowFV+t2CgsL2bhxI4At7MDVo6zt27cTFhZmec+xY8dYs2YN/fv3p1atWrz00ks88MAD9O7d2/ELExH5ldx/Rt9ewB7TNM+U1Wia5nvAewCGYZiVMDcR+Rlq165NcXEx48aNY86cObRo0YJPPvmEvLw81qxZQ2RkJP7+/vj6+hIWFsaqVavw8vLC3f2nvwbq1avHmjVrGDJkCImJiSQkJLBt2zby8vJYunQpQUFBNG/e3Pbt6bVr13bWckVEKuznhJ3h6AhLpEY4evQoR48etf25X79+GIZBaGgoXbt2xcvLi3Xr1uHu7s6iRYts/QoKCli/fj2LFi2yfK0EQFZWFnv37sXf359bb72VAwcOVNl6RER+jQqFHcMw6gKxwB8dOx0RqQxTpkyhZcuWfPbZZ2zevJmCggLbd10lJydb+lb001Tt27fnySefZOTIkcyYMYMXX3zREVMXEal0FarZMU3zommaAaZpZjl6QiLy6/n7+zNq1CjWrl3LmTNn+PDDD+nduzceHh4/axxPT09GjBjB9u3b2bt3L48//jh169Z10KxFRBzj5xxjiUgN5O/vzyOPPMIjjzxCQUEBBQUFFX6vh4eH6nJEpMZT2BG5iXh6euLp6ensaYiIVCl9N5aIiIi4NIUdERERcWkKOyIiIuLSVLMj4oKefvppnn76aWdPQ0SkWlDYEXFB9957L6GhoQ4bPykpid27dztsfBGRyqSwI+KChgwZwvjx4x02/tSpUxV2RKTGUM2OiIiIuDSFHREREXFpCjsiIiLi0hR2RERExKWpQFnEBU2ePJlXXnnFYeNfvHjRYWOLiFQ2hR0RF5SXl0deXp6zpyEiUi0o7Ii4iGbNmmGaprOnISJS7ahmR0RERFyawo6IiIi4NIUdERERcWkKOyIiIuLSFHZERETEpSnsiIiIiEtT2BERERGXprAjIiIiLk1hR0RERFyawo6IiIi4NIUdERERcWkKOyIiIuLSFHZERETEpSnsiIiIiEtzd9C454ATDhr752jI1bk4lWEYzp5CiWrx86gmqs3PoprcH9Xm51FNVJufh+6Paqna/Dx0f1g0L6/BME2zKidSpQzDSDJNM9zZ86gu9PP4iX4WVvp5WOnnYaWfh5V+HlY14eehYywRERFxaQo7IiIi4tJcPey85+wJVDP6efxEPwsr/Tys9POw0s/DSj8Pq2r/83Dpmh0RERERV9/ZERERkZucS4YdwzB6GoZxyDCMI4ZhPO/s+TiTYRgfGIbxg2EY+509l+rAMIzbDMP4wjCMbwzDSDUMY5yz5+RMhmHUMQxjl2EYX//483jR2XOqDgzDqGUYxl7DMNY4ey7OZhjGccMwUgzD2GcYRpKz5+NshmH4G4ax1DCMgz/+PRLh7Dk5i2EYd/x4X5S8sg3DGO/seZXF5Y6xDMOoBXwLxAInga+A4aZpHnDqxJzEMIxuQC7wsWmabZw9H2czDCMQCDRNc49hGL7AbmDgTXx/GIC3aZq5hmF4AAnAONM0v3Ty1JzKMIxngHDAzzTNvs6ejzMZhnEcCDdNszo8R8XpDMOYD2wzTXOeYRieQF3TNC84eVpO9+O/e78H7jFNszo8Z8/CFXd2OgFHTNNMM02zAFgEDHDynJzGNM2twHlnz6O6ME0z3TTNPT/+cw7wDdDUubNyHvOq3B//6PHjy7X+C+hnMgyjGdAHmOfsuUj1YhiGH9ANeB/ANM0CBR2bGOBodQw64JphpynwXak/n+Qm/peZlM8wjBZAB2Cnk6fiVD8e2ewDfgA2maZ5U/88gFnAc0Cxk+dRXZjARsMwdhuG8QdnT8bJgoCzwIc/HnPOMwzD29mTqiYeBBY6exLlccWwU9azs2/q/1IVe4Zh+ADLgPGmaWY7ez7OZJrmFdM02wPNgE6GYdy0x52GYfQFfjBNc7ez51KNdDFNMwzoBfzfj0fjNyt3IAyYa5pmByAPuKnrQgF+PM7rDyxx9lzK44ph5yRwW6k/NwNOOWkuUg39WJuyDFhgmubnzp5PdfHjdnw80NO5M3GqLkD/H+tUFgH/j2EY/59zp+Rcpmme+vH//gAs52qpwM3qJHCy1O7nUq6Gn5tdL2CPaZpnnD2R8rhi2PkKaGUYRssf0+aDwConz0mqiR8Lct8HvjFN801nz8fZDMNoZBiG/4//7AX0AA46dVJOZJrmJNM0m5mm2YKrf3f81zTN/9fJ03IawzC8fyzk58fjmvuAm/aTnaZpnga+Mwzjjh8vxQA35YcbrjGcanyEBY771nOnMU2zyDCMscB/gFrAB6Zppjp5Wk5jGMZCIBpoaBjGSWCKaZrvO3dWTtUFeAhI+bFOBeAvpmmuc96UnCoQmP/jJyncgM9M07zpP24tNo2B5T9+s7Y78KlpmhucOyWnewpY8ON/TKcBjzp5Pk5lGEZdrn76+Y/Onsv1uNxHz0VERERKc8VjLBEREREbhR0RERFxaQo7IiIi4tIUdkRERMSlKeyIiIiIS1PYEREREZemsCMiIiIuTWFHREREXNr/D63i9jRXIH/bAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 9x9 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 10x10 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 11x11 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 12x12 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 13x13 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 14x14 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 15x15 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 16x16 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 17x17 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 18x18 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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ncssttxAIBDyuWERERtKwdow2sxT6AtAbzrl3T3SOc+4V4BWAwsJCN5zxRIarp6eHyspKli1bNrBsPhqNcsopp/Dggw+yZ88eVq1axcSJEzEzj6sVEZGRNOQQZH3/QrwG7HbO/R+JK0lk5Bw4cICKigoqKip+87yjD1gVEZHxaziXw/49cBtwhZlt6//46wTVJSIiIjKihjwT5Jz7/wG6XiBjSllZGVVVVYOel5+fz/Lly5NQkYiIeEVPkRdfWb9+PXffffeg5+lymIjI+KfHZoiIiIgvaSZIfOXaa6+lsLBw0PNyc3N54oknklCRiIh4xY4+LDIZCgsLXV1dXdLGO8qrpc7J/L09nt969lu/4L+e1W/y+K1nv/ULvux5i3PuF++AdTlMREREfEkhSERERHxJIUhERER8SSFIREREfEkhSERERHxJIUhERER8KalL5M3MkzV5PlwK6Lue/dYv+K9n9Zs8fuvZb/2C/3o2My2RFxERETlKO0aLyLhVX1/Pjh07yMnJobi42OtyRGSU0UyQiIwLvb29rFixgoqKCqLRKADr1q2jrKyMzz//nNbWVgBWr17Nk08+SWdnp5flisgooBAkIuPCmjVrmDVrFkVFRbz88ssA9PT0sGnTJiKRCOnp6WzcuJFgMMjNN9/MCy+84HHFIuI1hSARGRfC4TA//vgjZsbs2bMBWLp0KeXl5ZSUlJCens6ZZ55JLBajubmZyZMne1yxiHhN9wSJyJj10Ucf8dZbb1FQUMCSJUvYtWsX999/Px988AEA3d3d5OXl0dHRAcC5557Lc889R0tLC0uWLGHt2rVs376d888/n9tvv93LVkTEA5oJEpExq7q6mtWrV9Pd3U1LSwvnnHMO5513Hp999hkAkUiEcDg8EIIaGhowM+bPnw/Al19+yfLly2lubqanp8ezPkTEGwpBIjJmnXrqqSxevJi8vDxyc3NJTU3l4osvpra2FoD29namTp06EIKqq6uZPn06Z599NtC3V8prr71GZ2cnaWlpnvUhIt5QCBKRMeuhhx7immuuYevWrQPHAoHAwKxOJBL5kxDU0NBATk4O2dnZOOeIRqNMmjSJ8vJyT+oXEW8pBInImFZaWkpjYyO7du0CIBaLMWnSJNra2mhvbyc/P5+uri4AUlJSBnbKXbduHRMmTGDBggWe1S4i3hpyCDKzCWb2pZltN7OdZvZUIgsTETkZwWCQkpISNmzYAEA8HqekpIRPP/2USCRCdnY2ZkZDQ8PAZbDe3l62bdvGjBkzyMjI8LJ8EfHQcGaCeoArnHMzgVnAAjP7y4RUJSLyO1x00UW0tLRQX19PPB5n7ty5bN68mfb2dkKhEIFAgJqaGubNm4eZ8fbbb3PppZeSn5/vdeki4qEhhyDXp6P/y5T+D++eBicivnXllVcSCoVYu3Yt8XicYDDIkSNHiEQiAyGoo6OD9PR00tLS2LJlC4cOHRpYJSYi/jSse4LMLGBm24Bm4J+cc7UJqUpE5HdITU0lFouRlZXF/v37ATjttNPYt28fGRkZBAIBgsEgP/zwA7W1tVx33XXE43FSUlI8rlxEvDSsEOScizvnZgFh4BIzu/D4c8zsHjOrM7O64YwlIvJbMjMzeffdd3n99ddZt24dF1xwAZ988glmxv79+wmHw1RVVbF9+3beeOMN4vG41yWLiMcSsmO0c67NzKqBBcCO4773CvAKgJnpcpmIjJi0tDQeeeQRnn32Wb766iug78bp3t5eXnrpJWbMmMF9993H4cOHcU4vRyJ+N5zVYaeZ2aT+z9OBK4FvE1SXiMjvdvrpp/PYY4+xdetWnHM454jFYvT29hKNRtmxYwcPPPAAWVlZXpcqIqPAcGaC/gz4r2YWoC9M/Tfn3D8mpiwRERGRkTXkEOSc+xr4iwTWIiIyLOvXr6e0tHTQ85qamnj88cdHviARGdX0FHkRGTfKysp49dVXBz1v1apVSahGREY7PTZDREREfEkzQSIybrz33nvU1Q2+G0dLSwvPPPNMEioSkdHMkrlM1Ksl8l4thT36oEYv+K1nv/UL/utZ/SaP33r2W7/gv57NbItzrvD447ocJiIiIr6kECQiIiK+pBAkIiIivqQQJCIiIr6kECQiIiK+pBAkIiIivpTUfYLmzJlzUnt4JJrflgKC/3r2W7/gv57Vb/L4rWe/9Qv+7PlENBMkIiIivqQdo0U8UF9fz44dO8jJyaG4uNjrckREfEkzQSIjrLe3lxUrVlBRUUE0GgVg3bp1lJWV8fnnn9Pa2grA6tWrefLJJ+ns7PSyXBER31AIEhlha9asYdasWRQVFfHyyy8D0NPTw6ZNm4hEIqSnp7Nx40aCwSA333wzL7zwgscVi4j4g0KQyAgLh8P8+OOPmBmzZ88GYOnSpZSXl1NSUkJ6ejpnnnkmsViM5uZmJk+e7HHFIiL+oHuCREbARx99xFtvvUVBQQFLlixh165d3H///XzwwQcAdHd3k5eXR0dHBwDnnnsuzz33HC0tLSxZsoS1a9eyfft2zj//fG6//XYvWxERGbc0EyQyAqqrq1m9ejXd3d20tLRwzjnncN555/HZZ58BEIlECIfDAyGooaEBM2P+/PkAfPnllyxfvpzm5mZ6eno860NEZDxTCBIZAaeeeiqLFy8mLy+P3NxcUlNTufjii6mtrQWgvb2dqVOnDoSg6upqpk+fztlnnw307aXx2muv0dnZSVpammd9iIiMZwpBIiPgoYce4pprrmHr1q0DxwKBwMCsTiQS+ZMQ1NDQQE5ODtnZ2TjniEajTJo0ifLyck/qFxHxA4UgkRFSWlpKY2Mju3btAiAWizFp0iTa2tpob28nPz+frq4uAFJSUgZ2Ul23bh0TJkxgwYIFntUuIuIHww5BZhYws6/M7B8TUZDIeBEMBikpKWHDhg0AxONxSkpK+PTTT4lEImRnZ2NmNDQ0DFwG6+3tZdu2bcyYMYOMjAwvyxcRGfcSMRP098DuBPwckXHnoosuoqWlhfr6euLxOHPnzmXz5s20t7cTCoUIBALU1NQwb948zIy3336bSy+9lPz8fK9LFxEZ94YVgswsDJQBryamHJHx5corryQUCrF27Vri8TjBYJAjR44QiUQGQlBHRwfp6emkpaWxZcsWDh06NLBKTERERs5wZ4JeAh4Feodfisj4k5qaSiwWIysri/379wNw2mmnsW/fPjIyMggEAgSDQX744Qdqa2u57rrriMfjpKSkeFy5iMj4N+QQZGZ/AzQ757YMct49ZlZnZnUHDx4c6nAiY1ZmZibvvvsur7/+OuvWreOCCy7gk08+wczYv38/4XCYqqoqtm/fzhtvvEE8Hve6ZBERXxjOjtH/HrjGzP4amABkmdnrzrlbjz3JOfcK8ApAYWGhG8Z4ImNWWloajzzyCM8++yxfffUV0HfjdG9vLy+99BIzZszgvvvu4/Dhwzin/01ERJJhyDNBzrmlzrmwc+7PgZuAT44PQCLS5/TTT+exxx5j69atOOdwzhGLxejt7SUajbJjxw4eeOABsrKyvC5VRMQ3tE+QiIiI+FJCHqDqnKsGqhPxs0TGo/Xr11NaWjroeU1NTTz++OMjX5CIiOgp8iLJUFZWxquvDr6TxKpVq5JQjYiIgC6HiYiIiE9pJkgkCd577z3q6uoGPa+lpYVnnnkmCRWJiIglczluYWGhO5l/CBLt6IMpk83Lpc5+69lv/YL/ela/yeO3nv3WL/iy5y3OucLjD+pymIiIiPiSQpCIiIj4kkKQiIiI+JJCkIiIiPiSQpCIiIj4kkKQiIiI+FJSl8ibmSdr8ny4FNB3PfutX/Bfz+o3efzWs9/6Bf/1bGZaIi8iIiJylHaMFhERkUFNmzaNCy+8kNbWVr744guvy0kIzQSJiIjInzAzFi9ezKOPPkow2DdfsmjRIj788EOKi4uZPHkyAHfccQfl5eVMnDjRy3KHTCFIRERE/sRtt93Gtm3bqK2t5d577wUgLS2N4uJiQqEQXV1dzJ8/n1gsxptvvsnDDz/sccVDoxAkIiIif6KxsZEzzjgD5xxbt24F4Pnnn+epp56ipqaG7u5u6uvrCQaD5OXl8fPPP3tc8dDoniARERHhqquu4qabbmL37t1UVlZSUFDAypUrufrqq4G+maDm5mYyMzMB2Lt3L0uXLiU3N5fKykpuuOEGZs6cybfffsuaNWu8bOWkaSZIREREKC0t5a677mLChAnk5OSwd+9evvvuOy677DIAQqEQjY2NAyEoHA7jnOPjjz8G4JJLLmHZsmXk5eWRmprqWR+/h0KQiIiI8NNPP7FixQqam5tpbW0lGo3y9ddfU1RUBEBWVhYNDQ0DIai0tJR9+/bx/fffA317AN15551kZGRw5MgRz/r4PRSCREREhBdffJH333+f2bNnDxyLx+OkpaUBfTNBx4agqVOn0traSnt7OwApKSm0tbXx9NNPJ7/4IVIIEhEREQCqq6sJh8MUFBQAEAwGaWtrIzs7m6ysLJqamkhPTwcgGo0O7AC9aNEiuru72bBhg2e1D8WwQpCZ/YuZfWNm28ysLlFFiYiISPLF43FqampYsGABAIFAgJqaGi6//HJCoRCHDh3COUc4HB64DGZmzJo1iz179nD48GEvy//dEjETNM85N+tEz+QQERGRseWbb74hNzeXadOmEQgE2Lx5M3PnziUrK4tIJEI8HqekpISqqiqcc1x//fVs2rSJpqYmr0v/3XQ5TERERAZs3LiRSCTCjTfeSCAQIB6Pk5qaSigUGghBmZmZdHV10dPTw5w5c8jOzh5YJTaWDDcEOeAjM9tiZvckoiARERHxTjQaJRgM0t7ezpQpUwA4ePAg06dPp7Ozk3g8TiwW46yzzqKoqIh33nmHQCBALBbzuPLfb7gh6N8752YDfwXcb2Ylx59gZveYWZ3uGRIRERkbOjo6WLhwIbfeeisLFy5k586dXHHFFQBMmTKFxsZG5s2bx8yZM7nlllsIBAIeVzw0w9ox2jnX1P9rs5m9B1wC1Bx3zivAKwBm5oYznoiIiCRHT08PlZWVLFu2bGDZfDQa5ZRTTuHBBx9kz549rFq1iokTJ2JmHlc7NEOeCTKzDDMLHf0c+J+AHYkqTERERLxz4MABKioqmDNnDmaGmZGSkkIgECA1NZWLLrqIlStXDuwTNBYNZybodOC9/vQXBN50zo2tDQJERETEt4YcgpxzPwAzE1iLiIiIjBJlZWVUVVUNel5+fj7Lly9PQkWJp6fIi4iIyC+sX7+eu+++e9Dz7r333iRUMzK0T5CIiIj4kmaCRERE5BeuvfZaCgsHfxhEbm4uTzzxRBIqSjw7+vCzpAzm0RL5ZPZ4LC+XDPqtZ7/1C/7rWf0mj9969lu/4L+ezWzLiR7vpcthIiIi4ksKQSIiIuJLCkEiIiLiSwpBIiIi4ksKQSIiIuJLCkEiIiLiS0ndJ2jOnDnU1dUlc0jAf0sBwX89+61f8F/P6jd5/Naz3/oFf/Z8IpoJEhEREV/SjtEiIjJmTZs2jQsvvJDW1la++OILr8uRMUYzQSIiMiaYGYsXL+bRRx8lGOx7D79o0SI+/PBDiouLmTx5MgB33HEH5eXlTJw40ctyZQxQCBIRkTHhtttuY9u2bdTW1g48uTwtLY3i4mJCoRBdXV3Mnz+fWCzGm2++ycMPP+xxxTLaKQSJiMiY0NjYyBlnnIFzjq1btwLw/PPP89RTT1FTU0N3dzf19fUEg0Hy8vL4+eefPa5YRjvdEyQiIqPWVVddxU033cTu3buprKykoKCAlStXcvXVVwN9M0HNzc1kZmYCsHfvXpYuXUpubi6VlZXccMMNzJw5k2+//ZY1a9Z42YqMQpoJEhGRUau0tJS77rqLCRMmkJOTw969e/nuu++47LLLAAiFQjQ2Ng6EoHA4jHOOjz/+GIBLLrmEZcuWkZeXR2pqqmd9yOikECQiIqPWTz/9xIoVK2hubqa1tZVoNMrXX39NUVERAFlZWTQ0NAyEoNLSUvbt28f3338P9O2Hc+edd5KRkcGRI0c860NGJ4UgEREZtV588UXef/99Zs+ePXAsHo+TlpYG9M0EHRuCpk6dSmtrK+3t7QCkpKTQ1tbG008/nfziZdRTCBIRkVGturqacDhMQUEBAMFgkLa2NrKzs8nKyqKpqYn09HQAotHowG7IixYtoru7mw0bNnhWu4xuwwpBZjbJzN4xs2/NbLeZFSeqMBEREeib+ampqWHBggUABAIBampquPzyywmFQhw6dAjnHOFweOAymJkxa9Ys9uzZw+HDh70sX0ax4c4ErQA2OOfOB2YCu4dfkoiIyJ/65ptvyM3NZdq0aQQCATZv3szcuXPJysoiEokQj8cpKSmhqqoK5xzXX389mzZtoqmpyevSZRQbcggysyygBHgNwDl3xDnXlqC6REREBmzcuJFIJMKNN95IIBAgHo+TmppKKBQaCEGZmZl0dXXR09PDnDlzyM7OHlglJnIiw5kJOgs4CPzfZvaVmb1qZhkJqktERGRANBolGAzS3t7OlClTADh48CDTp0+ns7OTeDxOLBbjrLPOoqioiHfeeYdAIEAsFvO4chnNhhOCgsBs4L845/4C6AQeO/4kM7vHzOrMrO7gwYPDGE5ERPyso6ODhQsXcuutt7Jw4UJ27tzJFVdcAcCUKVNobGxk3rx5zJw5k1tuuYVAIOBxxTLaDWfH6Eag0TlX2//1O5wgBDnnXgFeASgsLHTDGE9ERHyup6eHyspKli1bNrBsPhqNcsopp/Dggw+yZ88eVq1axcSJEzEzj6uV0W7IM0HOuR+BBjOb0X9oPrArIVWJiIicwIEDB6ioqGDOnDmYGWZGSkoKgUCA1NRULrroIlauXDmwT5DIbxnus8P+A/CGmaUCPwB3DL8kERERkZE3rBDknNsGFCamFBERkd9WVlZGVVXVoOfl5+ezfPnyJFQkY5meIi8iImPG+vXrufvuuwc97957701CNTLW6bEZIiIi4kuaCRIRkTHj2muvpbBw8LswcnNzeeKJJ5JQkYxldvRBc8lQWFjo6urqkjbeUV4tk0zm7+3x/Naz3/oF//WsfpPHbz37rV/wZc9bnHO/SM+6HCYiIiK+pBAkIiIivqQQJCIiIr6kECQiIiK+pBAkIiIivqQQJCIiIr6U1CXyZubJmjwfLgX0Xc9+6xf817P6TR6/9ey3fsF/PZuZlsiLiIiIHKUQJCIiIr6kx2aI56ZNm8aFF15Ia2srX3zxhdfliIiIT2gmSJLKzFi8eDGPPvoowWBfBl+0aBEffvghxcXFTJ48GYA77riD8vJyJk6c6GW5IiIyjikESVLddtttbNu2jdraWu69914A0tLSKC4uJhQK0dXVxfz584nFYrz55ps8/PDDHlcsIiLjlUKQJFVjYyNnnHEGzjm2bt0KwPPPP89TTz1FTU0N3d3d1NfXEwwGycvL4+eff/a4YhERGa90T5CMuKuuuoqbbrqJ3bt3U1lZSUFBAStXruTqq68G+maCmpubyczMBGDv3r0sXbqU3NxcKisrueGGG5g5cybffvsta9as8bIVEREZRzQTJCOutLSUu+66iwkTJpCTk8PevXv57rvvuOyyywAIhUI0NjYOhKBwOIxzjo8//hiASy65hGXLlpGXl0dqaqpnfYiIyPiiECQj7qeffmLFihU0NzfT2tpKNBrl66+/pqioCICsrCwaGhoGQlBpaSn79u3j+++/B/o217rzzjvJyMjgyJEjnvUhIiLji0KQjLgXX3yR999/n9mzZw8ci8fjpKWlAX0zQceGoKlTp9La2kp7ezsAKSkptLW18fTTTye/eBERGbcUgiQpqqurCYfDFBQUABAMBmlrayM7O5usrCyamppIT08HIBqNDmytvmjRIrq7u9mwYYNntYuIyPg05BBkZjPMbNsxH+1m9mACa5NxJB6PU1NTw4IFCwAIBALU1NRw+eWXEwqFOHToEM45wuHwwGUwM2PWrFns2bOHw4cPe1m+iIiMQ0MOQc65Pc65Wc65WcAc4DDwXqIKk/Hnm2++ITc3l2nTphEIBNi8eTNz584lKyuLSCRCPB6npKSEqqoqnHNcf/31bNq0iaamJq9LFxGRcShRl8PmA9875+oT9PNkHNq4cSORSIQbb7yRQCBAPB4nNTWVUCg0EIIyMzPp6uqip6eHOXPmkJ2dPbBKTEREJJESFYJuAv6YoJ8l41Q0GiUYDNLe3s6UKVMAOHjwINOnT6ezs5N4PE4sFuOss86iqKiId955h0AgQCwW87hyEREZj4YdgswsFbgGePtXvn+PmdWZWd1wx5Kxr6Ojg4ULF3LrrbeycOFCdu7cyRVXXAHAlClTaGxsZN68ecycOZNbbrmFQCDgccUiIjJeJWLH6L8CtjrnDpzom865V4BXAMzMJWA8GeN6enqorKxk2bJlA8vmo9Eop5xyCg8++CB79uxh1apVTJw4ETPzuFoRERmvEhGC/oAuhcnvcODAASoqKqioqPjN844+YFVERGQkDOtymJlNBK4C3k1MOSIiIiLJMayZIOfcYSA3QbWIT5SVlVFVVTXoefn5+SxfvjwJFYmIiB/pKfKSdOvXr+fuu+8e9DxdDhMRkZGkx2aIiIiIL2kmSJLu2muvpbCwcNDzcnNzeeKJJ5JQkYiI+JEdfVBlUgbzaIl8Mns8lpfLu/3Ws9/6Bf/1rH6Tx289+61f8F/PZrbFOfeLd9+6HCYiIiK+pBAkIiIivqQQJCIiIr6kECQiIiK+pBAkIiIivqQQJCIiIr6U1H2C5syZQ11dXTKHBPy3FBD817Pf+gX/9ax+k8dvPfutX/BnzyeimSARERHxJe0YLSIiw1ZfX8+OHTvIycmhuLjY63JETopmgkRE5Hfp7e1lxYoVVFRUEI1GAVi3bh1lZWV8/vnntLa2ArB69WqefPJJOjs7vSxX5FcpBImIyO+yZs0aZs2aRVFRES+//DIAPT09bNq0iUgkQnp6Ohs3biQYDHLzzTfzwgsveFyxyIkpBImIyO8SDof58ccfMTNmz54NwNKlSykvL6ekpIT09HTOPPNMYrEYzc3NTJ482eOKRU5M9wSJiMigPvroI9566y0KCgpYsmQJu3bt4v777+eDDz4AoLu7m7y8PDo6OgA499xzee6552hpaWHJkiWsXbuW7du3c/7553P77bd72YrIAM0EiYjIoKqrq1m9ejXd3d20tLRwzjnncN555/HZZ58BEIlECIfDAyGooaEBM2P+/PkAfPnllyxfvpzm5mZ6eno860PkWApBIiIyqFNPPZXFixeTl5dHbm4uqampXHzxxdTW1gLQ3t7O1KlTB0JQdXU106dP5+yzzwb69od57bXX6OzsJC0tzbM+RI6lECQiIoN66KGHuOaaa9i6devAsUAgMDCrE4lE/iQENTQ0kJOTQ3Z2Ns45otEokyZNory83JP6RU5EIUhERE5KaWkpjY2N7Nq1C4BYLMakSZNoa2ujvb2d/Px8urq6AEhJSRnYHXjdunVMmDCBBQsWeFa7yIkMKwSZ2f9mZjvNbIeZ/dHMJiSqMBERGV2CwSAlJSVs2LABgHg8TklJCZ9++imRSITs7GzMjIaGhoHLYL29vWzbto0ZM2aQkZHhZfkivzDkEGRmU4DFQKFz7kIgANyUqMJERGT0ueiii2hpaaG+vp54PM7cuXPZvHkz7e3thEIhAoEANTU1zJs3DzPj7bff5tJLLyU/P9/r0kV+YbiXw4JAupkFgYlA0/BLEhGR0erKK68kFAqxdu1a4vE4wWCQI0eOEIlEBkJQR0cH6enppKWlsWXLFg4dOjSwSkxkNBlyCHLO7QcqgX8F/g045Jz7KFGFiYjI6JOamkosFiMrK4v9+/cDcNppp7Fv3z4yMjIIBAIEg0F++OEHamtrue6664jH46SkpHhcucgvDedy2GTgb4HpQD6QYWa3nuC8e8yszszqDh48OPRKRURkVMjMzOTdd9/l9ddfZ926dVxwwQV88sknmBn79+8nHA5TVVXF9u3beeONN4jH416XLHJCw9kx+kpgn3PuIICZvQtcCrx+7EnOuVeAVwAKCwvdMMYTEZFRIi0tjUceeYRnn32Wr776Cui7cbq3t5eXXnqJGTNmcN9993H48GGc00u/jE7DuSfoX4G/NLOJ1rcOcj6wOzFliYjIaHb66afz2GOPsXXrVpxzOOeIxWL09vYSjUbZsWMHDzzwAFlZWV6XKvKrhnNPUC3wDrAV+Kb/Z72SoLpERERERtSwHqDqnCsHtP2niIjPrF+/ntLS0kHPa2pq4vHHHx/5gkSGQE+RFxGR362srIxXX3110PNWrVqVhGpEhkaPzRARERFf0kyQiIj8bu+99x51dXWDntfS0sIzzzyThIpEfj9L5tLFwsJCdzL/0yTa0Yf4JZuXy0L91rPf+gX/9ax+k8dvPfutX/Blz1ucc4XHH9TlMBEREfElhSARERHxJYUgERER8SWFIBEREfElhSARERHxJYUgERER8aWkLpE3M0/W5PlwKaDvevZbv+C/ntVv8vitZ7/1C/7r2cy0RF5ERETkKO0YLSIiIqNWfX09O3bsICcnh+Li4oT+bM0EiYiIyKjQ29vLihUrqKioIBqNArBu3TrKysr4/PPPaW1tBWD16tU8+eSTdHZ2Dms8hSAREREZFdasWcOsWbMoKiri5ZdfBqCnp4dNmzYRiURIT09n48aNBINBbr75Zl544YVhjacQJCIiIqNCOBzmxx9/xMyYPXs2AEuXLqW8vJySkhLS09M588wzicViNDc3M3ny5GGNp3uCRERExDMfffQRb731FgUFBSxZsoRdu3Zx//3388EHHwDQ3d1NXl4eHR0dAJx77rk899xztLS0sGTJEtauXcv27ds5//zzuf3223/X2JoJEhEREc9UV1ezevVquru7aWlp4ZxzzuG8887js88+AyASiRAOhwdCUENDA2bG/PnzAfjyyy9Zvnw5zc3N9PT0/K6xFYJERETEM6eeeiqLFy8mLy+P3NxcUlNTufjii6mtrQWgvb2dqVOnDoSg6upqpk+fztlnnw307Xn02muv0dnZSVpa2u8aWyFIREREPPPQQw9xzTXXsHXr1oFjgUBgYFYnEon8SQhqaGggJyeH7OxsnHNEo1EmTZpEeXn57x5bIUhEREQ8VVpaSmNjI7t27QIgFosxadIk2traaG9vJz8/n66uLgBSUlIGdrxet24dEyZMYMGCBUMad1ghyMz+3sx2mNlOM3twOD9LRERE/CkYDFJSUsKGDRsAiMfjlJSU8OmnnxKJRMjOzsbMaGhoGLgM1tvby7Zt25gxYwYZGRlDGnfIIcjMLgTuBi4BZgJ/Y2bnDvXniYiIiH9ddNFFtLS0UF9fTzweZ+7cuWzevJn29nZCoRCBQICamhrmzZuHmfH2229z6aWXkp+fP+QxhzMTVAB84Zw77JyLAZ8C1w7j54mIiIhPXXnllYRCIdauXUs8HicYDHLkyBEikchACOro6CA9PZ20tDS2bNnCoUOHBlaJDcVwQtAOoMTMcs1sIvDXwNRh/DwRERHxqdTUVGKxGFlZWezfvx+A0047jX379pGRkUEgECAYDPLDDz9QW1vLddddRzweJyUlZchjDjkEOed2AxXAPwEbgO1A7PjzzOweM6szs7ohVykiIiLjXmZmJu+++y6vv/4669at44ILLuCTTz7BzNi/fz/hcJiqqiq2b9/OG2+8QTweH9Z4w9ox2jn3GvAagJktBxpPcM4rwCv957jhjCciIiLjW1paGo888gjPPvssX331FdB343Rvby8vvfQSM2bM4L777uPw4cM4N7xYMawQZGZ5zrlmM5sGLAQS+4x7ERER8ZXTTz+dxx57jMcee+w3z1u1atWwxxrus8PWmVkuEAXud879POyKRERERJJguJfDLktUISIiIiLr16+ntLR00POampp4/PHHhzWWniIvIiIio0ZZWRmvvvrqoOcl4nKYHpshIiIivqSZIBERERk13nvvPerqBt9Vp6WlhWeeeWZYY9lwl5f9rsE8WiKfzB6PdfQBb17wW89+6xf817P6TR6/9ey3fsF/PZvZFudc4fHHdTlMREREfEkhSERERHxJIUhERER8SSFIREREfEkhSERERHxJIUhERER8Kan7BM2ZM+ek1v4nmt+WAoL/evZbv+C/ntVv8vitZ7/1C/7s+UQ0EyQiIiK+pB2jRURExpBp06Zx4YUX0trayhdffOF1OWOaZoJERERGKTNj8eLFPProowSDffMWixYt4sMPP6S4uJjJkycDcMcdd1BeXs7EiRO9LHfMUQgSEREZpW677Ta2bdtGbW0t9957LwBpaWkUFxcTCoXo6upi/vz5xGIx3nzzTR5++GGPKx5bFIJERERGqcbGRs444wycc2zduhWA559/nqeeeoqamhq6u7upr68nGAySl5fHzz//7HHFY4vuCRIRERlFrrrqKm666SZ2795NZWUlBQUFrFy5kquvvhromwlqbm4mMzMTgL1797J06VJyc3OprKzkhhtuYObMmXz77besWbPGy1ZGPc0EiYiIjCKlpaXcddddTJgwgZycHPbu3ct3333HZZddBkAoFKKxsXEgBIXDYZxzfPzxxwBccsklLFu2jLy8PFJTUz3rYyxQCBIRERlFfvrpJ1asWEFzczOtra1Eo1G+/vprioqKAMjKyqKhoWEgBJWWlrJv3z6+//57oG8PoDvvvJOMjAyOHDniWR9jgUKQiIjIKPLiiy/y/vvvM3v27IFj8XictLQ0oG8m6NgQNHXqVFpbW2lvbwcgJSWFtrY2nn766eQXP8YoBImIiIwy1dXVhMNhCgoKAAgGg7S1tZGdnU1WVhZNTU2kp6cDEI1GB3aAXrRoEd3d3WzYsMGz2seSQUOQma02s2Yz23HMsRwz+ycz++f+XyePbJkiIiL+EY/HqampYcGCBQAEAgFqamq4/PLLCYVCHDp0COcc4XB44DKYmTFr1iz27NnD4cOHvSx/zDiZmaB/ABYcd+wx4GPn3LnAx/1fi4iISIJ888035ObmMm3aNAKBAJs3b2bu3LlkZWURiUSIx+OUlJRQVVWFc47rr7+eTZs20dTU5HXpY8agIcg5VwO0Hnf4b4H/2v/5fwX+58SWJSIi4m8bN24kEolw4403EggEiMfjpKamEgqFBkJQZmYmXV1d9PT0MGfOHLKzswdWicnghnpP0OnOuX8D6P81L3EliYiISDQaJRgM0t7ezpQpUwA4ePAg06dPp7Ozk3g8TiwW46yzzqKoqIh33nmHQCBALBbzuPKxY8RvjDaze8yszszqDh48ONLDiYiIjBsdHR0sXLiQW2+9lYULF7Jz506uuOIKAKZMmUJjYyPz5s1j5syZ3HLLLQQCAY8rHluGumP0ATP7M+fcv5nZnwHNv3aic+4V4BWAwsJCN8TxREREfKmnp4fKykqWLVs2sGw+Go1yyimn8OCDD7Jnzx5WrVrFxIkTMTOPqx1bhjoT9D7wd/2f/x3w/ySmHBERETnWgQMHqKioYM6cOZgZZkZKSgqBQIDU1FQuuugiVq5cObBPkJy8k1ki/0fgc2CGmTWa2V3A88BVZvbPwFX9X4uIiIiMGYNeDnPO/eFXvjU/wbWIiIjIccrKyqiqqhr0vPz8fJYvX56EisYPPUVeRERkFFu/fj133333oOfde++9SahmfNFjM0RERMSXNBMkIiIyil177bUUFhYOel5ubi5PPPFEEioaP+zoQ9eSobCw0NXV1SVtvKO8WjKYzN/b4/mtZ7/1C/7rWf0mj9969lu/4MuetzjnfpEkdTlMREREfEkhSERERHxJIUhERER8SSFIREREfEkhSERERHxJIUhERER8KalL5M3MkzV5PlwK6Lue/dYv+K9n9Zs8fuvZb/2C/3o2My2RFxERETlKO0bLgPr6enbs2EFOTg7FxcVelyMiIjKiNBPkU729vaxYsYKKigqi0SgA69ato6ysjM8//5zW1lYAVq9ezZNPPklnZ6eX5YqIiCScQpBPrVmzhlmzZlFUVMTLL78MQE9PD5s2bSISiZCens7GjRsJBoPcfPPNvPDCCx5XLCIiklgKQT4VDof58ccfMTNmz54NwNKlSykvL6ekpIT09HTOPPNMYrEYzc3NTJ482eOKRUREEkv3BPnIRx99xFtvvUVBQQFLlixh165d3H///XzwwQcAdHd3k5eXR0dHBwDnnnsuzz33HC0tLSxZsoS1a9eyfft2zj//fG6//XYvWxERERk2zQT5SHV1NatXr6a7u5uWlhbOOecczjvvPD777DMAIpEI4XB4IAQ1NDRgZsyfPx+AL7/8kuXLl9Pc3ExPT49nfYiIiCSCQpCPnHrqqSxevJi8vDxyc3NJTU3l4osvpra2FoD29namTp06EIKqq6uZPn06Z599NtC3r8Rrr71GZ2cnaWlpnvUhIiKSCApBPvLQQw9xzTXXsHXr1oFjgUBgYFYnEon8SQhqaGggJyeH7OxsnHNEo1EmTZpEeXm5J/WLiIgkkkKQz5SWltLY2MiuXbsAiMViTJo0iba2Ntrb28nPz6erqwuAlJSUgV1F161bx4QJE1iwYIFntYuIiCTSoCHIzFabWbOZ7Tjm2PVmttPMes3sF9tQy+gVDAYpKSlhw4YNAMTjcUpKSvj000+JRCJkZ2djZjQ0NAxcBuvt7WXbtm3MmDGDjIwML8sXERFJmJOZCfoH4Pi3/zuAhUBNoguSkXfRRRfR0tJCfX098XicuXPnsnnzZtrb2wmFQgQCAWpqapg3bx5mxttvv82ll15Kfn6+16WLiIgkzKAhyDlXA7Qed2y3c27PiFUlI+rKK68kFAqxdu1a4vE4wWCQI0eOEIlEBkJQR0cH6enppKWlsWXLFg4dOjSwSkxERGQ80D1BPpSamkosFiMrK4v9+/cDcNppp7Fv3z4yMjIIBAIEg0F++OEHamtrue6664jH46SkpHhcuYiISOKMeAgys3vMrM7M6kZ6LDl5mZmZvPvuu7z++uusW7eOCy64gE8++QQzY//+/YTDYaqqqti+fTtvvPEG8Xjc65JFREQSasR3jHbOvQK8AmBmbqTHk5OXlpbGI488wrPPPstXX30F9N043dvby0svvcSMGTO47777OHz4MM7pj05ERMYXPTbDx04//XQee+wxHnvssd88b9WqVUmqSEREJHlOZon8H4HPgRlm1mhmd5nZtWbWCBQD683sf4x0oSIiIiKJNOhMkHPuD7/yrfcSXIsk2fr16yktLR30vKamJh5//PGRL0hERCSJdDnMx8rKynj11VcHPU+Xw0REZDzSEnkRERHxJc0E+dh7771HXd3gOxe0tLTwzDPPJKEiERGR5LFkLn32aom8V8u7jz581At+69lv/YL/ela/yeO3nv3WL/ivZzPb4pz7xbNOdTlMREREfEkhSERERHxJIUhERER8SSFIREREfEkhSERERHxJIUhERER8SSFIREREfCmpmyXOmTPnpDbnSzS/7YcA/uvZb/2C/3pWv8njt5791i/4s+cT0UyQiIiI+JIem/Ebpk2bxoUXXkhraytffPGF1+WIiIhIAmkmqJ+ZsXjxYh599FGCwb5suGjRIj788EOKi4uZPHkyAHfccQfl5eVMnDjRy3JFRERkmBSC+t12221s27aN2tpa7r33XgDS0tIoLi4mFArR1dXF/PnzicVivPnmmzz88MMeVywiIiLDoRDUr7GxkTPOOAPnHFu3bgXg+eef56mnnqKmpobu7m7q6+sJBoPk5eXx888/e1yxiIiIDIev7wm66qqruOmmm9i9ezeVlZUUFBSwcuVKrr76aqBvJqi5uZnMzEwA9u7dy9KlS8nNzaWyspIbbriBmTNn8u2337JmzRovWxEREZHfydczQaWlpdx1111MmDCBnJwc9u7dy3fffcdll10GQCgUorGxcSAEhcNhnHN8/PHHAFxyySUsW7aMvLw8UlNTPetDREREfj9fh6CffvqJFStW0NzcTGtrK9FolK+//pqioiIAsrKyaGhoGAhBpaWl7Nu3j++//x7o22fhzjvvJCMjgyNHjnjWh4iIiPx+vg5BL774Iu+//z6zZ88eOBaPx0lLSwP6ZoKODUFTp06ltbWV9vZ2AFJSUmhra+Ppp59OfvEiIiIyLL4OQQDV1dWEw2EKCgoACAaDtLW1kZ2dTVZWFk1NTaSnpwMQjUYHdtlctGgR3d3dbNiwwbPaRUREZOgGDUFmttrMms1sxzHH/rOZfWtmX5vZe2Y2aUSrHEHxeJyamhoWLFgAQCAQoKamhssvv5xQKMShQ4dwzhEOhwcug5kZs2bNYs+ePRw+fNjL8kVERGSITmYm6B+ABccd+yfgQufcxcB3wNIE15VU33zzDbm5uUybNo1AIMDmzZuZO3cuWVlZRCIR4vE4JSUlVFVV4Zzj+uuvZ9OmTTQ1NXlduoiIiAzRoCHIOVcDtB537CPnXKz/yy+A8AjUljQbN24kEolw4403EggEiMfjpKamEgqFBkJQZmYmXV1d9PT0MGfOHLKzswdWiYmIiMjYk4h7gu4E/t8E/BzPRKNRgsEg7e3tTJkyBYCDBw8yffp0Ojs7icfjxGIxzjrrLIqKinjnnXcIBALEYrFBfrKIiIiMVsMKQWa2DIgBb/zGOfeYWZ2Z1R08eHA4w42ojo4OFi5cyK233srChQvZuXMnV1xxBQBTpkyhsbGRefPmMXPmTG655RYCgYDHFYuIiMhwDHnHaDP7O+BvgPnu6JKpE3DOvQK8AlBYWPir540GPT09VFZWsmzZsoFl89FolFNOOYUHH3yQPXv2sGrVKiZOnIiZeVytiIiIDMeQQpCZLQD+d+By59y4WR514MABKioqqKio+M3zjj5gVURERMauk1ki/0fgc2CGmTWa2V3A/wmEgH8ys21mtmqE6xQRERFJqEFngpxzfzjB4ddGoBbPlZWVUVVVNeh5+fn5LF++PAkViYiIyEjx9VPkj7d+/XruvvvuQc/T5TAREZGxz/ePzRARERF/0kzQMa699loKCwsHPS83N5cnnngiCRWJiIjISLHfWN2ecIWFha6uri5p4x3l1XL2ZP7eHs9vPfutX/Bfz+o3efzWs9/6BV/2vMU594tZDl0OExEREV9SCBIRERFfUggSERERX1IIEhEREV9SCBIRERFfUggSERERX0rqEnkz82RNng+XAvquZ7/1C/7rWf0mj9969lu/4L+ezUxL5EVERESO0o7RIiLjSH19PTt27CAnJ4fi4mKvyxEZ1TQTJCIyRvX29rJixQoqKiqIRqMArFu3jrKyMj7//HNaW1sBWL16NU8++SSdnZ1elisy6igEiYiMUWvWrGHWrFkUFRXx8ssvA9DT08OmTZuIRCKkp6ezceNGgsEgN998My+88ILHFYuMLgpBIiJjVDgc5scff8TMmD17NgBLly6lvLyckpIS0tPTOfPMM4nFYjQ3NzN58mSPKxYZXXRPkIjIGPLRRx/x1ltvUVBQwJIlS9i1axf3338/H3zwAQDd3d3k5eXR0dEBwLnnnstzzz1HS0sLS5YsYe3atWzfvp3zzz+f22+/3ctWRDynmSARkTGkurqa1atX093dTUtLC+eccw7nnXcen332GQCRSIRwODwQghoaGjAz5s+fD8CXX37J8uXLaW5upqenx7M+REYDhSARkTHk1FNPZfHixeTl5ZGbm0tqaioXX3wxtbW1ALS3tzN16tSBEFRdXc306dM5++yzgb79YV577TU6OztJS0vzrA+R0UAhSERkDHnooYe45ppr2Lp168CxQCAwMKsTiUT+JAQ1NDSQk5NDdnY2zjmi0SiTJk2ivLzck/pFRhOFIBGRMaa0tJTGxkZ27doFQCwWY9KkSbS1tdHe3k5+fj5dXV0ApKSkDOwOvG7dOiZMmMCCBQs8q11kNBk0BJnZajNrNrMdxxx7xsy+NrNtZvaRmeWPbJkiInJUMBikpKSEDRs2ABCPxykpKeHTTz8lEomQnZ2NmdHQ0DBwGay3t5dt27YxY8YMMjIyvCxfZNQ4mZmgfwCOf9vwn51zFzvnZgH/CPzHBNclIiK/4aKLLqKlpYX6+nri8Thz585l8+bNtLe3EwqFCAQC1NTUMG/ePMyMt99+m0svvZT8fL1nFTlq0BDknKsBWo871n7MlxmAd0+BExHxoSuvvJJQKMTatWuJx+MEg0GOHDlCJBIZCEEdHR2kp6eTlpbGli1bOHTo0MAqMREZxj1BZvasmTUAt6CZIBGRpEpNTSUWi5GVlcX+/fsBOO2009i3bx8ZGRkEAgGCwSA//PADtbW1XHfddcTjcVJSUjyuXGT0GHIIcs4tc85NBd4AHvi188zsHjOrM7O6oY4lIiK/lJmZybvvvsvrr7/OunXruOCCC/jkk08wM/bv3084HKaqqort27fzxhtvEI/HvS5ZZFRJxI7RbwLrgROut3TOvQK8AmBmumwmIpJAaWlpPPLIIzz77LN89dVXQN+N0729vbz00kvMmDGD++67j8OHD+OcXoJFjjWkmSAzO/eYL68Bvk1MOSIi8nucfvrpPPbYY2zduhXnHM45YrEYvb29RKNRduzYwQMPPEBWVpbXpYqMOoPOBJnZH4FS4FQza6RvxuevzWwG0AvUA/eNZJEiIiIiiTZoCHLO/eEEh18bgVpEROR3Wr9+PaWlpYOe19TUxOOPPz7yBYmMIXqKvIjIGFZWVsarr7466HmrVq1KQjUiY4semyEiIiK+pJkgEZEx7L333qOubvAdSFpaWnjmmWeSUJHI2GHJXDLp1RJ5r5aFHn1ooRf81rPf+gX/9ax+k8dvPfutX/Bfz2a2xTlXePxxXQ4TERERX1IIEhEREV9SCBIRERFfUggSERERX1IIEhEREV9SCBIRERFfSuo+QXPmzDmp/SwSzW9LAcF/PfutX/Bfz+o3efzWs9/6BX/2fCKaCRIRERFf0o7RIjLi6uvr2bFjBzk5ORQXF3tdjogIoJkgEUmw3t5eVqxYQUVFBdFoFIB169ZRVlbG559/TmtrKwCrV6/mySefpLOz08tyRcTHFIJEJKHWrFnDrFmzKCoq4uWXXwagp6eHTZs2EYlESE9PZ+PGjQSDQW6++WZeeOEFjysWEb9SCBKRhAqHw/z444+YGbNnzwZg6dKllJeXU1JSQnp6OmeeeSaxWIzm5mYmT57sccUi4le6J0hEhu2jjz7irbfeoqCggCVLlrBr1y7uv/9+PvjgAwC6u7vJy8ujo6MDgHPPPZfnnnuOlpYWlixZwtq1a9m+fTvnn38+t99+u5etiIiPaCZIRIaturqa1atX093dTUtLC+eccw7nnXcen332GQCRSIRwODwQghoaGjAz5s+fD8CXX37J8uXLaW5upqenx7M+RMRfFIJEZNhOPfVUFi9eTF5eHrm5uaSmpnLxxRdTW1sLQHt7O1OnTh0IQdXV1UyfPp2zzz4b6Ns75LXXXqOzs5O0tDTP+hARf1EIEpFhe+ihh7jmmmvYunXrwLFAIDAwqxOJRP4kBDU0NJCTk0N2djbOOaLRKJMmTaK8vNyT+kXEnxSCRCQhSktLaWxsZNeuXQDEYjEmTZpEW1sb7e3t5Ofn09XVBUBKSsrAzrHr1q1jwoQJLFiwwLPaRcSfBg1BZrbazJrNbMcJvveImTkzO3VkyhORsSIYDFJSUsKGDRsAiMfjlJSU8OmnnxKJRMjOzsbMaGhoGLgM1tvby7Zt25gxYwYZGRleli8iPnQyM0H/APziLZqZTQWuAv41wTWJyBh10UUX0dLSQn19PfF4nLlz57J582ba29sJhUIEAgFqamqYN28eZsbbb7/NpZdeSn5+vteli4gPDRqCnHM1QOsJvvUi8Cjg3RMkRWRUufLKKwmFQqxdu5Z4PE4wGOTIkSNEIpGBENTR0UF6ejppaWls2bKFQ4cODawSExFJpiHdE2Rm1wD7nXPbE1yPiIxhqampxGIxsrKy2L9/PwCnnXYa+/btIyMjg0AgQDAY5IcffqC2tpbrrruOeDxOSkqKx5WLiB/97hBkZhOBZcB/PMnz7zGzOjOrO3jw4O8dTkTGmMzMTN59911ef/111q1bxwUXXMAnn3yCmbF//37C4TBVVVVs376dN954g3g87nXJIuJTQ9kx+mxgOrC9f3VHGNhqZpc45348/mTn3CvAKwCFhYW6dCbiA2lpaTzyyCM8++yzfPXVV0DfjdO9vb289NJLzJgxg/vuu4/Dhw/jnF4WRMQbvzsEOee+AfKOfm1m/wIUOud+SmBdIjKGnX766Tz22GM89thjv3neqlWrklSRiMgvncwS+T8CnwMzzKzRzO4a+bJERERERtagM0HOuT8M8v0/T1g1IjIurF+/ntLS0kHPa2pq4vHHHx/5gkRETkBPkReRhCsrK+PVV18d9DxdDhMRL+mxGSIiIuJLmgkSkYR77733qKurG/S8lpYWnnnmmSRUJCLyS5bM5amFhYXuZF4YE+3ogxqTzculv37r2W/9gv96Vr/J47ee/dYv+LLnLc65wuMP6nKYiIiI+JJCkIiIiPiSQpCIiIj4kkKQiIiI+JJCkIiIiPiSQpCIiIj4UlKXyJuZJ2vyfLgU0Hc9+61f8F/P6jd5/Naz3/oF//VsZloiLyIiInKUdowWERH5naZNm8aFF15Ia2srX3zxhdflyBBpJkhEROQ3mBmLFy/m0UcfJRjsmztYtGgRH374IcXFxUyePBmAO+64g/LyciZOnOhlufI7KASJiIj8httuu41t27ZRW1vLvffeC0BaWhrFxcWEQiG6urqYP38+sViMN998k4cfftjjiuVkKQSJiIj8hsbGRs444wycc2zduhWA559/nqeeeoqamhq6u7upr68nGAySl5fHzz//7HHFcrJ0T5CIiMhxrrrqKm666SZ2795NZWUlBQUFrFy5kquvvhromwlqbm4mMzMTgL1797J06VJyc3OprKzkhhtuYObMmXz77besWbPGy1bkN2gmSERE5DilpaXcddddTJgwgZycHPbu3ct3333HZZddBkAoFKKxsXEgBIXDYZxzfPzxxwBccsklLFu2jLy8PFJTUz3rQ36bQpCIiMhxfvrpJ1asWEFzczOtra1Eo1G+/vprioqKAMjKyqKhoWEgBJWWlrJv3z6+//57oG8/nDvvvJOMjAyOHDniWR/y2xSCREREjvPiiy/y/vvvM3v27IFj8XictLQ0oG8m6NgQNHXqVFpbW2lvbwcgJSWFtrY2nn766eQXLydNIUhEROQEqqurCYfDFBQUABAMBmlrayM7O5usrCyamppIT08HIBqNDuyGvGjRIrq7u9mwYYNntcvJGTQEmdlqM2s2sx3HHHvSzPab2bb+j78e2TJFRESSKx6PU1NTw4IFCwAIBALU1NRw+eWXEwqFOHToEM45wuHwwGUwM2PWrFns2bOHw4cPe1m+nISTmQn6B2DBCY6/6Jyb1f/xYWLLEhER8d4333xDbm4u06ZNIxAIsHnzZubOnUtWVhaRSIR4PE5JSQlVVVU457j++uvZtGkTTU1NXpcuJ2HQEOScqwFak1CLiIjIqLJx40YikQg33ngjgUCAeDxOamoqoVBoIARlZmbS1dVFT08Pc+bMITs7e2CVmIxuw7kn6AEz+7r/ctnkhFUkIiIySkSjUYLBIO3t7UyZMgWAgwcPMn36dDo7O4nH48RiMc466yyKiop45513CAQCxGIxjyuXkzHUEPRfgLOBWcC/AS/82olmdo+Z1ZlZ3RDHEhER8UxHRwcLFy7k1ltvZeHChezcuZMrrrgCgClTptDY2Mi8efOYOXMmt9xyC4FAwOOK5WQNacdo59yBo5+b2f8F/ONvnPsK8Er/uW4o44mIiHipp6eHyspKli1bNrBsPhqNcsopp/Dggw+yZ88eVq1axcSJEzEzj6uVkzWkEGRmf+ac+7f+L68FdvzW+SIiImPZgQMHqKiooKKi4jfPO/qAVRkbBg1BZvZHoBQ41cwagXKg1MxmAQ74F0B/6iIiIjKmDBqCnHN/OMHh10agFhERkVGprKyMqqqqQc/Lz89n+fLlSahIEkFPkRcRERnE+vXrufvuuwc9T5fDxhY9NkNERER8STNBIiIig7j22mspLCwc9Lzc3FyeeOKJJFQkiWBHH/iWlME8WiKfzB6P5eUySb/17Ld+wX89q9/k8VvPfusX/NezmW1xzv0ixepymIiIiPiSQpCIiIj4kkKQiIiI+JJCkIiIiPiSQpCIiIj4kkKQiIiI+FJS9wmaM2cOdXV1yRwS8N9SQPBfz37rF/zXs/pNHr/17Ld+wZ89n4hmgkRERMSXFIJERETEl/TYDBEfmTZtGhdeeCGtra188cUXXpcjIuIpzQSJjFNmxuLFi3n00UcJBvve7yxatIgPP/yQ4uJiJk+eDMAdd9xBeXk5EydO9LJcEZGkUwgSGaduu+02tm3bRm1tLffeey8AaWlpFBcXEwqF6OrqYv78+cRiMd58800efvhhjysWEUkuhSCRcaqxsZEzzjgD5xxbt24F4Pnnn+epp56ipqaG7u5u6uvrCQaD5OXl8fPPP3tcsYhIcumeIJFx5KqrruKmm25i9+7dVFZWUlBQwMqVK7n66quBvpmg5uZmMjMzAdi7dy9Lly4lNzeXyspKbrjhBmbOnMm3337LmjVrvGxFRGTEaSZIZBwpLS3lrrvuYsKECeTk5LB3716+++47LrvsMgBCoRCNjY0DISgcDuOc4+OPPwbgkksuYdmyZeTl5ZGamupZHyIiyaAQJDKO/PTTT6xYsYLm5mZaW1uJRqN8/fXXFBUVAZCVlUVDQ8NACCotLWXfvn18//33QN8GanfeeScZGRkcOXLEsz5ERJJBIUhkHHnxxRd5//33mT179sCxeDxOWloa0DcTdGwImjp1Kq2trbS3twOQkpJCW1sbTz/9dPKLFxFJskFDkJmtNrNmM9tx3PH/YGZ7zGynmf2nkStRRH6P6upqwuEwBQUFAASDQdra2sjOziYrK4umpibS09MBiEajA9vnL1q0iO7ubjZs2OBZ7SIiyXQyM0H/ACw49oCZzQP+FrjYOXcBUJn40kRkKOLxODU1NSxY0Pe/bSAQoKamhssvv5xQKMShQ4dwzhEOhwcug5kZs2bNYs+ePRw+fNjL8kVEkmbQEOScqwFajzv8vwLPO+d6+s9pHoHaRGSIvvnmG3Jzc5k2bRqBQIDNmzczd+5csrKyiEQixONxSkpKqKqqwjnH9ddfz6ZNm2hqavK6dBGRpBnqPUHnAZeZWa2ZfWpmcxNZlIgMz8aNG4lEItx4440EAgHi8TipqamEQqGBEJSZmUlXVxc9PT3MmTOH7OzsgVViIiJ+MNQQFAQmA38JLAH+m5nZiU40s3vMrM7M6g4ePDjE4UTk94hGowSDQdrb25kyZQoABw8eZPr06XR2dhKPx4nFYpx11lkUFRXxzjvvEAgEiMViHlcuIpI8Qw1BjcC7rs+XQC9w6olOdM694pwrdM4VnnbaaUOtU0R+p46ODhYuXMitt97KwoUL2blzJ1dccQUAU6ZMobGxkXnz5jFz5kxuueUWAoGAxxWLiCTXUHeM/u/AFUC1mZ0HpAI/JaooEUmMnp4eKisrWbZs2cCy+Wg0yimnnMKDDz7Inj17WLVqFRMnTuRXJnNFRMatQUOQmf0RKAVONbNGoBxYDazuXzZ/BPg7d3SdrYiMGgcOHKCiooKKiorfPO/oA1ZFRPxk0BDknPvDr3zr1gTXIiIiIpI0eoCqyDhWVlZGVVXVoOfl5+ezfPnyJFQkIjJ6KASJjGPr16/n7rvvHvQ8XQ4TET/Ss8NERETElzQTJDKOXXvttRQWFg56Xm5uLk888UQSKhIRGT0smYu6CgsLXV1dXdLGO8qrpb9eLpjzW89+6xf817P6TR6/9ey3fsGXPW9xzv3iHaEuh4mIiIgvKQSJiIiILykEiYiIiC8pBImIiIgvKQSJiIiILykEiYiIiC8ldYm8mXmyJs+HSwF917Pf+gX/9ax+k8dvPfutX/Bfz2amJfIiIiIiR2nHaBGRETBt2jQuvPBCWltb+eKLL7wuR0ROQDNBIiLDZGYsXryYRx99lGCw773lokWL+PDDDykuLmby5MkA3HHHHZSXlzNx4kQvyxWRfgpBIiLDdNttt7Ft2zZqa2u59957AUhLS6O4uJhQKERXVxfz588nFovx5ptv8vDDD3tcsYiAQpCIyLA1NjZyxhln4Jxj69atADz//PM89dRT1NTU0N3dTX19PcFgkLy8PH7++WePKxYR0D1BIiJDctVVV3HTTTexe/duKisrKSgoYOXKlVx99dVA30xQc3MzmZmZAOzdu5elS5eSm5tLZWUlN9xwAzNnzuTbb79lzZo1XrYi4luaCRIRGYLS0lLuuusuJkyYQE5ODnv37uW7777jsssuAyAUCtHY2DgQgsLhMM45Pv74YwAuueQSli1bRl5eHqmpqZ71IeJnCkEiIkPw008/sWLFCpqbm2ltbSUajfL1119TVFQEQFZWFg0NDQMhqLS0lH379vH9998Dfful3HnnnWRkZHDkyBHP+hDxM4UgEZEhePHFF3n//feZPXv2wLF4PE5aWhrQNxN0bAiaOnUqra2ttLe3A5CSkkJbWxtPP/108osXEUAhSERkyKqrqwmHwxQUFAAQDAZpa2sjOzubrKwsmpqaSE9PByAajQ7slrto0SK6u7vZsGGDZ7WLyEmEIDNbbWbNZrbjmGNrzWxb/8e/mNm2Ea1SRGQUisfj1NTUsGDBAgACgQA1NTVcfvnlhEIhDh06hHOOcDg8cBnMzJg1axZ79uzh8OHDXpYv4nsnMxP0D8CCYw845250zs1yzs0C1gHvJr40EZHR75tvviE3N5dp06YRCATYvHkzc+fOJSsri0gkQjwep6SkhKqqKpxzXH/99WzatImmpiavSxfxvUFDkHOuBmg90fes7wlsNwB/THBdIiJjwsaNG4lEItx4440EAgHi8TipqamEQqGBEJSZmUlXVxc9PT3MmTOH7OzsgVViIuKd4d4TdBlwwDn3z4koRkRkrIlGowSDQdrb25kyZQoABw8eZPr06XR2dhKPx4nFYpx11lkUFRXxzjvvEAgEiMViHlcuIsMNQX9gkFkgM7vHzOrMrG6YY4mIjEodHR0sXLiQW2+9lYULF7Jz506uuOIKAKZMmUJjYyPz5s1j5syZ3HLLLQQCAY8rFhEYxo7RZhYEFgJzfus859wrwCv9/40b6ngiIqNZT08PlZWVLFu2bGDZfDQa5ZRTTuHBBx9kz549rFq1iokTJ9J3J4GIeG04j824EvjWOdeYqGJERMaqAwcOUFFRQUVFxW+ed/QBqyLivZNZIv9H4HNghpk1mtld/d+6Cd0QLSIiImPUoDNBzrk//Mrx/yXh1YiIjFFlZWVUVVUNel5+fj7Lly9PQkUiMhg9RV5EJAHWr1/P3XffPeh5uhwmMnrosRkiIiLiS5oJEhFJgGuvvZbCwsJBz8vNzeWJJ55IQkUiMhg7+kC/pAzm0RL5ZPZ4LC+XwfqtZ7/1C/7rWf0mj9969lu/4L+ezWyLc+4X71J0OUxERER8SSFIREREfEkhSERERHxJIUhERER8SSFIREREfEkhSERERHwp2fsE/QTUD/G/PbX/v//dhrkUcMjjDtOwxvVbz37rF4bVs1f9Dmtsv/0Z+61f8F/PfusXPH3dOvNEB5O6T9BwmFndidb4a9zxM7bGHd/jejm2xh3f43o5tsYd2+PqcpiIiIj4kkKQiIiI+NJYCkGvaNxxP7bGHd/jejm2xh3f43o5tsYdw+OOmXuCRERERBJpLM0EiYiIiCTMqA9BZrbAzPaY2V4zeyyJ4642s2Yz25GsMfvHnWpmVWa228x2mtnfJ2ncCWb2pZlt7x/3qWSMe8z4ATP7ysz+Mcnj/ouZfWNm28ysLonjTjKzd8zs2/4/6+IkjDmjv8+jH+1m9uBIj9s/9v/W//dqh5n90cwmJGncv+8fc+dI93qi1wwzyzGzfzKzf+7/dXKSxr2+v+deMxuRlTy/Mu5/7v87/bWZvWdmk5I07jP9Y24zs4/MLD/R4/7a2Md87xEzc2Z2ajLGNbMnzWz/Mf8//3Uyxu0//h/6/13eaWb/KRnjmtnaY3r9FzPblpDBnHOj9gMIAN8DZwGpwHbg3yVp7BJgNrAjyT3/GTC7//MQ8F0yegYMyOz/PAWoBf4yiX0/BLwJ/GOSf7//BTg1mWP2j/tfgf9v/+epwKQkjx8AfgTOTMJYU4B9QHr/1/8N+F+SMO6FwA5gIn17om0Ezh3B8X7xmgH8J+Cx/s8fAyqSNG4BMAOoBgqT2O//BAT7P69IYr9Zx3y+GFiVrJ77j08F/gd9++Al/PXkV3p+EnhkJPocZNx5/f8vpfV/nZes3+djvv8C8B8TMdZonwm6BNjrnPvBOXcEeAv422QM7JyrAVqTMdZx4/6bc25r/+cRYDd9/4iM9LjOOdfR/2VK/0dSbhgzszBQBryajPG8ZmZZ9P1P/hqAc+6Ic64tyWXMB753zg1189LfKwikm1mQvlDSlIQxC4AvnHOHnXMx4FPg2pEa7FdeM/6WvsBL/6//czLGdc7tds7tSfRYJzHuR/2/1wBfAOEkjdt+zJcZjNBr12/8u/Ai8KgH446oXxn3fwWed8719J/TnKRxATAzA24A/piIsUZ7CJoCNBzzdSNJCASjhZn9OfAX9M3KJGO8QP8UYzPwT865pIwLvETfC0hvksY7lgM+MrMtZnZPksY8CzgI/N/9lwBfNbOMJI191E0k6EVkMM65/UAl8K/AvwGHnHMfJWHoHUCJmeWa2UTgr+l7x55Mpzvn/g363uAAeUke30t3Av9vsgYzs2fNrAG4BfiPSRz3GmC/c257ssY8xgP9lwFXj8Sl1l9xHnCZmdWa2admNjdJ4x51GXDAOffPifhhoz0EnWh/bV8sZzOzTGAd8OBx73JGjHMu7pybRd+7t0vM7MKRHtPM/gZods5tGemxfsW/d87NBv4KuN/MSpIwZpC+qd7/4pz7C6CTvkslSWFmqcA1wNtJGm8yfTMi04F8IMPMbh3pcZ1zu+m7JPNPwAb6LqfHfvM/koQws2X0/V6/kawxnXPLnHNT+8d8IBlj9ofrZSQxdB3jvwBnA7Poe3PxQpLGDQKTgb8ElgD/rX92Jln+QALfwI32ENTIn75zC5OcaXRPmVkKfQHoDefcu8kev//STDWwIAnD/XvgGjP7F/oud15hZq8nYVwAnHNN/b82A+/Rdwl2pDUCjcfMtL1DXyhKlr8CtjrnDiRpvCuBfc65g865KPAucGkyBnbOveacm+2cK6Fvej0h7x5/hwNm9mcA/b8m/NLBaGNmfwf8DXCL67+BI8neBBYlaayz6Qv32/tfw8LAVjM7Y6QHds4d6H/j2gv8XyTntQv6Xr/e7b+F4kv6ZvATfjP4ifRfTl8IrE3UzxztIWgzcK6ZTe9/93oT8L7HNY2o/kT9GrDbOfd/JHHc046u5DCzdPr+4fp2pMd1zi11zoWdc39O35/vJ865EZ8lADCzDDMLHf2cvps6R3w1oHPuR6DBzGb0H5oP7BrpcY+R0HdSJ+Ffgb80s4n9f7/n03ev24gzs7z+X6fR9+KZzL6h7/Xq7/o//zvg/0ny+EllZguA/x24xjl3OInjnnvMl9eQhNcuAOfcN865POfcn/e/hjXSt7Dlx5Ee+2i47nctSXjt6vffgSv6aziPvoUdyXqQ65XAt865xoT9xETf1Z3oD/qu439H3yqxZUkc94/0TTFG6fuLfVeSxv3/0HfJ72tgW//HXydh3IuBr/rH3UGC7rz/nTWUksTVYfTdm7O9/2Nnkv9+zQLq+n+//zswOUnjTgRagOwk/9k+Rd8/TDuANfSvLEnCuJ/RFzC3A/NHeKxfvGYAucDH9M1AfQzkJGnca/s/7wEOAP8jSePupe8+zqOvXQlfpfUr467r/7v1NfABMCVZf8bHff9fGJnVYSfqeQ3wTX/P7wN/lqRxU4HX+3+/twJXJOv3GfgH4L5EjqUdo0VERMSXRvvlMBEREZERoRAkIiIivqQQJCIiIr6kECQiIiK+pBAkIiIivqQQJCIiIr6kECQiIiK+pBAkIiIivvT/BywZSmAYs2HXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 19x19 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n",
      "\n",
      " Solution to 20x20 \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " ----------- \n",
      "\n"
     ]
    }
   ],
   "source": [
    "for size in range(4,21):\n",
    "    q_coordinates = solver_function(size, q_coordinates = [], blacklist = {})\n",
    "    chessBoard = ChessBoard(size)\n",
    "    ax = chessBoard.display(q_coordinates)\n",
    "    print('\\n', f'Solution to {size}x{size}', '\\n')\n",
    "    plt.show(ax)\n",
    "    print('\\n', ''.join(['-' for i in range(11)]), '\\n')\n",
    "   "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}