diff --git a/Lectures/Student_lecture 1.ipynb b/Lectures/Student_lecture 1.ipynb index 323fd53..e404338 100644 --- a/Lectures/Student_lecture 1.ipynb +++ b/Lectures/Student_lecture 1.ipynb @@ -28,7 +28,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This cell below is simply importing some usefull stuff for later" + "This cell below is simply importing some useful stuff for later" ] }, { @@ -76,7 +76,7 @@ ], "source": [ "problems = glob.glob('../problems/*.tsp')\n", - "# example_problem = [\"./problems/eil76.tsp\"]\n", + "# example_problem = [\"../problems/eil76.tsp\"]\n", "for prob in problems:\n", " print(prob[12:])" ] @@ -160,7 +160,10 @@ "source": [ "def distance_euc(point_i, point_j): # TODO\n", " rounding = 0\n", - " # [...]\n", + " x_i = point_i[0]\n", + " y_i = point_i[1]\n", + " x_j, y_j = point_j[0], point_j[1]\n", + " distance = np.sqrt((x_i - x_j) ** 2 + (y_i- y_j) ** 2)\n", " return round(distance, rounding)" ] }, @@ -212,7 +215,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -227,19 +230,31 @@ " \n", " # read raw data \n", " # TODO\n", - " # [...]\n", - " self.lines = # here we expect a list of lines of the tsp file\n", + " with open(name_tsp) as f_o:\n", + " data= f_o.read()\n", + " self.lines = data.splitlines()\n", + " \n", + "# file_object = open(name_tsp)\n", + "# data = file_object.read()\n", + "# file_object.close()\n", + "# self.lines = data.splitlines()\n", "\n", " # store metadata set information \n", " # TODO\n", - " self.name = # here we expect the name of the problem\n", - " self.nPoints = # here the number of pts\n", - " self.best_sol = # here the lenght of the best solution\n", + " self.name = self.lines[0].split(' ')[2]\n", + " # here we expect the name of the problem\n", + " self.nPoints = np.int(self.lines[3].split(' ')[2])\n", + " self.best_sol = np.float(self.lines[5].split(' ')[2])\n", + " # here the lenght of the best solution\n", " \n", " # read all data points and store them \n", " # TODO\n", " self.points = np.zeros((self.nPoints, 3)) # this is the structure where we will store the pts data \n", - " # [...] here you need to fill self.points \n", + " for i in range(self.nPoints):\n", + " line_i = self.line[7 + i].split(' ')\n", + " self.points[i, 0] = int(line_i[0])\n", + " self.points[i, 1] = line_i[1]\n", + " self.points[i, 2] = line_i[2]\n", " \n", " self.create_dist_matrix()\n", " \n", @@ -247,11 +262,16 @@ " # if the problem is one with a optimal solution, that solution is loaded\n", " if name_tsp in [\"../problems/eil76.tsp\", \"../problems/kroA100.tsp\"]:\n", " self.exist_opt = True\n", - " # [...]\n", + " file_object = open(name_tsp.replace(\".tsp\", \".opt.tour\"))\n", + " data = file_object.read()\n", + " file_object.close()\n", + " lines = data.splitlines()\n", "\n", " # read all data points and store them\n", " self.optimal_tour = np.zeros(self.nPoints, dtype=np.int)\n", - " # [...]\n", + " for i in range(self.nPoints):\n", + " line_i = lines[5 + i].split(' ')\n", + " self.optimal_tour[i] = int(line_i[0]) - 1\n", "\n", " def print_info(self):\n", " print(\"\\n#############################\\n\")\n", @@ -270,10 +290,12 @@ " plt.show()\n", "\n", " def create_dist_matrix(self): # TODO\n", - " self.dist_matrix = # [...] define the size of the dist matrix\n", + " self.dist_matrix = np.zeros((self.nPoints, self.nPoints))\n", " \n", - " # now fill it\n", - " # [...]" + " for i in range(self.nPoints):\n", + " for j in range(i, self.nPoints):\n", + " self.dist_matrix[i, j] = distance_euc(self.points[i][1:3], self.points[j][1:3])\n", + " self.dist_matrix += self.dist_matrix.T\n" ] }, { @@ -286,7 +308,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -296,35 +318,9 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "#############################\n", - "\n", - "name: eil76\n", - "nPoints: 76\n", - "best_sol: 538.0\n", - "exist optimal: True\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "p_inst.plot_data(show_numbers=True)" ] @@ -376,7 +359,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -387,7 +370,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -466,34 +449,9 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "### solving with random ####\n", - "### solved ####\n", - "the total length for the solution found is 2424.0\n", - "while the optimal length is 538.0\n", - "the gap is 350.56%\n", - "the solution is found in 0.0 seconds\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "solver_name=\"random\"\n", "# here I'm repeating this two lines just to remind you which problem we are using\n", @@ -527,22 +485,9 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "solver = SolverTSP(\"optimal\", p_inst)\n", "solver.solved = True\n", @@ -572,4 +517,4 @@ }, "nbformat": 4, "nbformat_minor": 1 -} +} \ No newline at end of file diff --git a/Lectures/Student_lecture 2.ipynb b/Lectures/Student_lecture 2.ipynb index 552eee2..9d3fe1d 100644 --- a/Lectures/Student_lecture 2.ipynb +++ b/Lectures/Student_lecture 2.ipynb @@ -9,15 +9,848 @@ } }, "source": [ - "## Second Lecture" + "## Second Lab\n", + "\n", + "What we are going to do today:\n", + "- Recap of the previous Lab\n", + "- Define the nearest neighbor method and use it\n", + "- Define the Best Nearest Neighbors and use it \n", + "- Define the Multi Fragment and use it\n", + "- Finally compare these Constructive Methods" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This cell below is simply importing some useful stuff for later" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import glob\n", + "import numpy as np\n", + "from matplotlib import pyplot as plt\n", + "from time import time as t" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Recap\n", + "### The problems\n", + "As we saw last time, we have 12 problems and two have an optimal solution" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "- ch130.tsp\n", + "- d198.tsp\n", + "- eil76.tsp\n", + "- fl1577.tsp\n", + "- kroA100.tsp\n", + "- lin318.tsp\n", + "- pcb442.tsp\n", + "- pr439.tsp\n", + "- rat783.tsp\n", + "- u1060.tsp\n" + ] + } + ], + "source": [ + "problems = glob.glob('../problems/*.tsp')\n", + "for prob in problems:\n", + " if prob in [\"../problems/eil76.tsp\", \"../problems/kroA100.tsp\"]:\n", + " print(f\"- {prob[12:]} with opt\", sep='\\t')\n", + " else:\n", + " print(f\"- {prob[12:]}\", sep='\\t')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### ProblemInstance Class\n", + "Last time we implemented an ProblemInstance class that we can use to load a problem. " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "from src.io_tsp import ProblemInstance" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\n", + "#############################\n", + "name: eil76\n", + "nPoints: 76\n", + "best_sol: 538.0\n", + "exist optimal: True\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 0. 15. 23. ... 18. 23. 25.]\n", + " [15. 0. 24. ... 7. 12. 15.]\n", + " [23. 24. 0. ... 31. 21. 20.]\n", + " ...\n", + " [18. 7. 31. ... 0. 17. 20.]\n", + " [23. 12. 21. ... 17. 0. 3.]\n", + " [25. 15. 20. ... 20. 3. 0.]]\n" + ] + } + ], + "source": [ + "example_problem = \"../problems/eil76.tsp\"\n", + "p_inst = ProblemInstance(example_problem)\n", + "p_inst.print_info()\n", + "p_inst.plot_data()\n", + "print(p_inst.dist_matrix)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### TSPSolver Class\n", + "Even here, instead of reimplementing the class everytime, we can import the one I prepared before.\n", + "This implementation is ready to receive a lot of different types of problems" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "from src.TSP_solver import TSPSolver\n", + "from src.constructive_algorithms import random_method" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The class implements the following methods:\n", + "..." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "### solving with ['random'] ####\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "best solution with len 2484.0 \n", + "with a total time of 0.0 seconds\n" + ] + } + ], + "source": [ + "available_solvers = {\"random\": random_method}\n", + "\n", + "solver = TSPSolver(\"random\", p_inst, available_solvers)\n", + "start = t()\n", + "solver.compute_solution(return_value=False, verbose=True)\n", + "end = t()\n", + "\n", + "solver.plot_solution()\n", + "print(f\"best solution with len {solver.found_length} \\nwith a total time of {np.round(end - start, 5)} seconds\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Let's analyse the performances of the random Method\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "best solution 2146.0 on 1000 trials,\n", + "with a total time of 0.6 seconds\n" + ] + } + ], + "source": [ + "\n", + "number_of_trials = 1000\n", + "found_lens = []\n", + "start = t()\n", + "for _ in range(number_of_trials):\n", + " solver.compute_solution(return_value=False, verbose=False)\n", + " found_lens.append(solver.found_length)\n", + "end = t()\n", + "fig=plt.figure(figsize=(8,6), dpi= 100, facecolor='w', edgecolor='k')\n", + "plt.ylabel(\"Solution Length\")\n", + "plt.xlabel(\"Tries\")\n", + "plt.plot(found_lens, \"*\",label=\"Random\")\n", + "plt.plot(np.ones(number_of_trials)*p_inst.best_sol, \"r-\",label=\"Optimal\")\n", + "plt.legend(loc=\"center right\")\n", + "plt.show()\n", + "\n", + "print(f\"best solution {min(found_lens)} on {number_of_trials} trials,\\nwith a total time of {np.round(end - start, 2)} seconds\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "-------------\n", + "## Constructive Algorithm\n", + "### Nearest Neighbor Method" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def nn( instance_, starting_node=0): \n", + " # TODO\n", + " \n", + " # [...]\n", + " tour.append(starting_node)\n", + " return np.array(tour)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "### solving with ['nn'] ####\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "best solution with len 680.0 \n", + "with a total time of 0.00199 seconds\n" + ] + } + ], + "source": [ + "available_solvers = {\"random\": random_method,\n", + " \"nn\":nn}\n", + "\n", + "solver = TSPSolver(\"nn\", p_inst, available_solvers)\n", + "start = t()\n", + "solver.compute_solution(return_value=False, verbose=True)\n", + "end = t()\n", + "\n", + "solver.plot_solution()\n", + "print(f\"best solution with len {solver.found_length} \\nwith a total time of {np.round(end - start, 5)} seconds\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "A25UdIeTJOp8" + }, + "source": [ + "### Best Nearest Neighbors" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "id": "i_cC5eA-XT0B" + }, + "outputs": [], + "source": [ + "def best_nn(instance):\n", + " # TODO\n", + " \n", + " # [...]\n", + " return solution\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 534 + }, + "id": "lRAGk5zEXW0U", + "outputId": "493f692e-ef0c-4a94-dfc9-6726e9a5ac43" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "### solving with ['best_nn'] ####\n" + ] + }, + { + "data": { + "image/png": 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/JSQAa9YAM2fy7/33gfHjqaibNKEybt+eSjt3bmsfT1GUEEVMEINZDRs2NMuXLw/a+ylKchw5Asyf73cpr17NmG7evEDTplS2bdvyfr586d/vuXPAokV+hbx8Ofd76aXcn08h16wJiGTXp1MUJZQQkRXGmIbJblMFrLidQ4eocH0u5ZgYKsZLLgGaN6fCbdOGVusllwTufY8c4XvOmEGFvGULny9TJmn8uFy5wL2noiihhSpgxVMcOOC3bufOBdat4/P58/sVbtu2QKNGtHqDxfbtwKxZfgv50CE+X6uWXyG3aQMUKhQ8mRRFyV5UASuuZu9ev8KdNw/YsIHPFygAtGzpV7gNGgB58lgV9R8SEoDoaL8ynj8fOHsWyJmTlrgvoatJE40fK0o4owpYcRV//+23bufNA/78k88XLEiF27Ytle4114SP8jp3Dvjjj6Tx44QExo/btPHHj2vV0vixooQTqoCVsGbnzqQWri+WWrgw0KqV38KtX58ZyG7g6FFgzhy/Qt68mc9fdpnfXd2uncaPFSXUUQWshBXbt/ut23nzgG3b+HzRokDr1v6kqXr16LL1Ajt2MH48YwZvDx7k8zVr+pVx27YaP1aUUEMVsBKyGANs3Zo0aWrnTm4rXpwK1+dSvuoqIIc2T0VCAjO5fdbxvHlJ48c+hdykSejEvBXFq6gCVkIGY+hCTmzh7t7NbSVL+q3btm0Z71SFmzbnzyeNHy9bRiVdoAC/S19CV+3aGj9WlGCjClixhjHApk1Jk6b27uW20qX91m2bNtqgIlAcO5Y0fuxLUitdOmn8uHx5u3IqihdQBawEDWOA9euTJk3t389tZcv6rds2bYAaNVThBoOdO/3KeOZMf/z4yiuTxo8LF7YqpqK4ElXASraRkMBGFz7rdv58/wW+fHm/sm3bFqhaVRWubRISgLVrqYhnzODvdeYM48eNG/sVctOmGj9WlECgClgJGL4GEj6X8vz5bLkIAJUqJXUpV6miCjfUOX8eWLzYbx0vXZo0fuxTyHXq6G+pKJlBFbCSaeLjOazA506eP58xRgC4/HK/sm3TBqhc2aqoSgA4dowLK59C3rSJz5cuzb7V7dvztkIFq2IqStigClhJN3FxHMfncykvWMD5uABQrVpSC1cvwu5n166k8eMDB/j8FVckjR8XKWJVTEUJWVQBKykSG8uB8z6XclQUcPIkt11xhT9+27q1dl3yOsYwfuyb7jRvHuPHOXIkjR83a6bxY0XxoQpY+YcLF1gn6nMpR0UBp09zW61aSV3Kl11mV1YltLlwwR8/njHDHz/Onz9p/PiqqzR+rHgXVcAe5vx5Xhh9LuVFi9g1CWBijc+l3Lo1UKqUTUmVcOf48aTx440b+XypUknrjzV0oXgJVcAe4tw5WiU+l/LixXxOBKhb1+9SbtUKKFHCtrSKm9m1K+n8Y189eI0afmV87bUaPw4EFy6o2z9UUQXsYs6cYRtCn0t58WKejCLA1Vf73cmtWgHFitmWVvEqxrBePHH8+PRpxo8bNUoaP86b17a0oc/FIzm3bOFty5a2JVMuRhWwizh9mm5k34m3dCkTqXLk4Pxbn0u5ZUu1LJTQ5cIFYMkSv0JeupQlb/nzMxySOH6s/cCTjuScOxf46y8+X7gwkC8fsG8flXDVqlbFVJJBFXAYc/IkE6V8J9+yZSwVypkTaNjQb+G2bKmj6JTw5fhxHt++hK7E8ePrr/cr5IoV7coZLLZvT2rhpjaSs2VL5nqsXGlTYiUlVAGHEcePAwsX+hXuihW0DHLlYqmH78Rr3hwoWNC2tIqSPezenTR+vG8fn69enYq4fXt6e4oWtSpmQMjKSM5du7goGTkSGDbMhvRKWqgCDmGOHWOzC9+Jt2oVSzly5+Y8V1/SVLNmbA+oKF7DFz/2KeO5c/3x44YN/dZx8+bhET9O70jONm04QjI1F/y4ccDjj7NjWY0aQRFfySCqgEOII0fYztF34q1ezRMyb142wPedeE2bMh6mKEpSLlxgzNgXP16yhF6ifPmSxo/r1g2N+HFaIzkTTwjL6EjOli0ZplqzJjskVwKBKmCLHDpEhes78WJieEJecgmtWt+J16QJn1MUJWOcOMFzy6eQN2zg8yVLJo0fV6oUHHmMoQyJLVxfCVaZMkknhGVlJOfff3Pi2PDhwHPPBUh4JeCkpoBzBVsYt3PgQNJYzrp1fD5/frrIhg/nideoUXi4yxQl1ClUCLj5Zv4BVEyJ48eTJvH5atUYO/bVHwcqfuwbyZl4QljikZy+ftlt2lCGQHUF++473nbtGpj9KcEnTQtYRK4AMDnRU5cDeB7AZ87zlQFsB9DNGHM0tX250QLeuzfp8Hnf6rtAAbqHfC7lhg21UF5Rgo0xwPr1SePHp07RNd2ggT+hKyPx48QjOX0Twg4f5raKFZNauNk5krN1a4a01q7Nnv0rgSFgLmgRyQngbwBNADwC4IgxZpSIDAFQ1BjzTGr/7wYFfHEB/J9/8vmCBalwfSffNdcwkUpRlNAhNpYxY59CXrzYHz9u1crvrq5Xzx8/jo9njNV33i9YABx1TI0qVZJOCAvWSM69ezkc5YUX+KeELoFUwB0AvGCMaSEimwC0NcbsFZEyAOYaY65I7f/DUQHv2UN3VnIF8K1a+U+8q69mqZCiKOHDiRO0YH3x4/XrU399tWpJk6Zs9bWeMAF49FFav7Vr25FBSR+BVMAfA1hpjHlbRI4ZY4ok2nbUGJNqVCXcFPDx42wEcOECu0olrserV4/NMBRFcQ9//02lmtxl8eabgZ49GT+23db12muZ2JXWgkGxT2oKON1J+iKSB8AtAKZk8M37ishyEVl+0JeZECYULgw8/zxdUaVKMYHq8cfpXlblqyju44MPqHwHD6b3a906YPx4Kt85c4A77uAQk0aN2Phi9mwOOwkm+/fTar/jjuC+rxJ40m0Bi0hnAI8YYzo4jz3hggbofr7rLiZajBsH9Oun800VxW18+ilw//1A797A//7373M8Npb1x4njx3FxLB/0xY/bt08aP84O3nsPeOghJoJddVX2vY8SGALighaRSQB+M8Z84jweA+BwoiSsYsaYwantI1wVMMCygvvuA379lWn/H35IC1lRlPBn1iygY0eGmCIj05dAefKkv3/1zJn+ksPixZPWH1epElhZ27VjC8qNG9UQCAeyrIBFJD+AXQAuN8Ycd54rDuAbABUB7ATQ1RhzJLX9hLMCBlh+8N//0vVUsSIweTJdUYqihC/r1gEtWrBmNyoq8wvrvXupyH0JXXv28PmqVZPOPy5ePPOyHjwIXHYZMHQoMGJE5vejBA/thBVg/vgD6N6dJ9zo0cCgQboSVZRwZN8+dqHzjUcM1LQlY2ih+qY7zZ1Li1mEOSS+hiAtWmSsA96HHwJ9+7JnfP36gZFVyV5UAWcDR44ADzwAfP89EzQ++SRrK1tFUYLL6dOsaNiwgUlNDRpk33vFxnKUqM9d/ccf/vhxy5Z+hVy/furx4w4dOJrwzz910R8uqALOJowB3n4beOopZklPmsQVraIooU18PHDbbcDPP/sX0cHk5EkqfZ9C9nWzKl4cuO46f0JX4vjx4cMc3vD008CrrwZXXiXzaC/obEIEGDCAbezuvJOr6ZdfBp55JjSmsCiKkjxPPAH8+CMX0MFWvgA75914I/8Af/zYp5CnOMWel1/ujx9v28aFg/Z+dg9qAQeIEycYm5k8mW6izz+nVawoSmgxfjzzNp54Ahg71rY0/8Y3vtCnjOfM4fXFx+DBtI5btGALTSW0URd0kDCG9YOPPcbOWV99xaxHRVFCg++/p+v51luBqVPDw1MVFwf8/rvfWs6Vi8/lzfvv+LE2CAo9AtIJS0kbEeDBB1msX6QIawFffJFuI0VR7LJsGRvqNGoEfPFFeChfgAr3wAHeX7qUgyB++QV4+GE+P2QIp62VKkX39AcfAFu32pVZSR9qAWcTp06xWfrEiSzu//JLoGxZ21IpijfZtg1o2pRjQv/4g8lM4cRNNzFRa9u2f2c/79vnjx/PmMF+1gATuHzx4+uuYwtNJfioC9oiEydypZo/P+PCHTvalkhRvMXRo4yX7t1L5XvllbYlyhjHjtG6fewxNgJKDWNYouRTxr74sQgntvkUcsuWGj8OFuqCtkjPnsCKFUCZMkCnTnQXxcbalkpRvMGFC8DttwNbtjD+G27KFwB++onXjPQMXxABrrgCeOQRft7Dh7noGD6cmddvvMEk0aJFqYhHjQKWL9cwmS3UAg4SZ89yktL77wPNmgFffw1UqmRbKkVxL8YAvXoBn31G79M999iWKHPccguwejWwY0fWm2+cOgUsWOC3kGNi+HzRonRT+xK6Lr9cG30ECnVBhxCTJzNRK1cuds/q3Nm2RIriTl56iUmQw4cDzz1nW5rMceIEULIkw1hvvBH4/e/bx5GKPoW8ezefr1zZ3wxE48dZQxVwiPHXX2zcsWIFMHAg+0nnzWtbKkVxD599xvBPr17Axx+HrzX35Ze03KOi2PAnOzEG2LzZP0xizhzg+HFuSxw/btVK48cZQRVwCHL+POPB48axOfvkyUC1aralUpTwZ84c4IYbqCimTwfy5LEtUebp0oXlUzt3Br9sKi6ORoLPOl60iLHovHmZ1OZTyNdco/XHqaEKOIT54QcOAY+L46STO++0LZGihC/r19NSLFeOVmORIrYlyjwnT9L93K8fu3fZ5vRpf/x45kxgzRo+74sf+xRy1arh63HIDrQXdAjTuTNHi/XowRGHs2fTKlYXj6JkjH37gIgInjuRkeGtfAE22zh/Pn3Zz8GgQAGWUfpKKffvTxo//vZbPl+pUtL4ccmS9mQOddQCDhFiY5koMno0cNVVwDffhGfJhOIOTpxg3Wy4EB/PeO+6dcC8eewMFe7ccQfdvrt3h37XLl/82Gcdz57tjx/Xr+9XyC1bsieCl1AXdBjx66/AvfcCZ84A774L3HefbYkUL3LllRwIEE6IsPb1lltsS5J1Tp+m5di7Nyc2hRtxccDKlf6ErqgoGhl58iSNHzdo4P74sSrgMGPPHvasnTePmZxvvw1ceqltqRQvUbIkLZfevW1Lkn6qV3eH5QtwHGG3bsDcuRxzGu6cPg0sXOh3V/vix0WKJI0fV6vmvvixKuAwJD6es4WHD2dnm8mTgbp1bUuleIWSJakAJkywLYk36dYNmD+ffZ3daCEeOJA0frxzJ5+vWNHfDOS669wx0lVbUYYhOXOyicDMmewF26QJp5wEcb2kKIoFzpxhAtZtt7lT+QJUrN27c3zr9u3sX/3OO/RgfPstk1JLl6YX5qmngN9+4/fiNlQBhzjXXUd3TevWLEfo0SPpcG5FUdzF9OlUNqGS/ZzdiDB88NBDVL6HDgFLlgAjRwLFigFvvcXM66JFOV995EiOZXRD/2pVwGFAqVI8KV99lUPEr7mGBfKKoriPqVMZAmjd2rYkdsiZE2jcGBg2jG7qo0dpAT/2GL2B//kPPYIlStBL8M47tKDD0TuoCjhMyJGDnbPmzeOEl2bNgDffDM+DTlGUlNm0iQool3ZpAMCypQ4dgDFj2DPhwAFg0iR6CFau5OSnK65g/+oHHuCgmwMHbEudPlQBhxktWvAg7NiRfaS7dAGOHLEtlaIogSTU635tUrIkOwZ++CGwbRvrj999F2jUCJg2jRUkpUsD9eoxfvzrr8zCDkX0Zw5DihdnC8s33mDHn6uv5sxPRVEULyHC0qX+/em6P3iQ8eFXXqGL+q23OIe9aFGgbVtgxAjGl+PibEtOVAGHKSLAoEEscM+Zk43nR48GEhJsS6YoimKHnDlpCQ8dCsya5Y8fDxrE5NXnngOaNqVy7tKFZXY248caZQhzGjWiS7pPH8aI58zhKDY31M8piqJkBV/8uEMHPj54kNfIGTP49/33fL5CBX8zkIiI4PURVwvYBRQuzN7R777LuuEBA2xLpCiKEnr4Gsz44sdbtgDvvcekt4kTgbvv5vzlYKEK2CWIAF270pWiQxwURVFSR4SjE1u2ZO1xQgIV8SuvBE8GVcAu4vffeRBFRNiWRFEUJbQ5dQp4+ml224qOBt5/n8mswWz5qzFgFxEZyeQCt/NZi1gAACAASURBVDSkVxRFCTTGsOPW449z1OMDDwCjRvHaGWzUAnYJ8fGsd+vY0b39YxVFUbLC5s28RnbtynLOqCj2o7ahfAFVwK5h+XLGMdT9rCiKkpSzZ1mCVKcOsHgxMH48r5nNm9uVS13QLiEykt1zfOn2iqIoCvDTT+wjvX07s5zHjAHKlLEtFVEL2CVMn84C8+LFbUuiKIpin+3bgc6dgVtuAfLl42CHL74IHeULqAJ2Bfv3A8uWqftZURTl/HmOLKxVi30RRo8GVq/mKMNQQ13QLuC333jbqZNdORRFUWwyYwbw6KNsL3n77eyXX6GCbalSRi1gFxAZCVx2GevZFEVRvMbff3NCUocOrAiZPp3DGUJZ+QKqgMOeuDhawJ066QgzRVG8RWwsMHYsu//9+CPw0kvA2rUsNQoH1AUd5ixeDBw7pvFfRVG8xfz5wCOPUOHeeCPw5pvA5ZfblipjqM0U5kRGsvFG+/a2JVEURcl+9u8H7rsPaNOGIwa//56lRuGmfAFVwGFPZCSbiRcubFsSRVGU7CM+nvN7r7gCmDSJM3/Xr2epkYht6TKHKuAw5u+/gTVr1P2sKIq7WbKEk4oefZS97qOjObWoQAHbkmUNVcBhzPTpvFUFrCiKGzl8GOjXD2jWDNi7l5bvjBnuGbmqCjiMmT6dafa1a9uWRFEUJXAkJAAffUR380cfAYMGARs3stQoXN3NyaEKOEy5cIErwU6d3HVAKoribVavZl5Lnz5AzZrAqlXA668DhQrZlizwpEsBi0gREZkqIhtFZIOINBORYiIyQ0Q2O7dFs1tYxU9UFHDypLqfFUVxB8ePc2hCgwbAli3Ap5+y1Oiqq2xLln2k1wIeD+BXY8yVAOoB2ABgCIBZxpjqAGY5j5UgERkJ5M4NXH+9bUkURVEyjzHAl1/S3fz220D//sCmTUDPnu737qXZiENECgFoDaAXABhjLgC4ICKdAbR1XjYRwFwAz2SHkMq/iYxkHdyll9qWxJ2cPs2LQHy8bUnsEBtrWwLFC6xfz2Yac+cCjRoBP//MLGevkJ5OWJcDOAjgExGpB2AFgIEAShtj9gKAMWaviJTKPjGVxGzfzgO3Tx/bkriDhAQmeCxZws5iS5YAMTF83suEe4mHErqcOgUMH85hCQULAu+9x+tZzpy2JQsu6VHAuQBcA2CAMWaJiIxHBtzNItIXQF8AqFixYqaEVJKi5UdZ4+BBKlmfwl26lB11ADY0adwYePZZDrfIm9eurLYQYSKMogQSY4DvvmNW8+7dQO/ewKhRQMmStiWzQ3oU8G4Au40xS5zHU0EFvF9EyjjWbxkAB5L7Z2PMBwA+AICGDRuaAMjseSIj2XatRg3bkoQ+588zqzKxdbt1K7flzMkEj7vuApo0AZo25XeqQy0UJfBs3gwMGMDhMXXrApMnA82b25bKLmkqYGPMPhHZJSJXGGM2AbgewHrnryeAUc7tD9kqqQIAOHcOmDULeOAB9ycoZBRjgG3bklq3q1axZAsAypWjku3fn7fXXKNuVkXJbs6eBV59FRg9mh6lceMY982lo4DSPQ1pAIAvRSQPgK0A7gczqL8RkQcA7ATQNXtEVBIzbx4PaHU/s2xh2bKk1u3Bg9yWPz+TOQYOpLJt0oQKWFGU4PHzzywt2raNnqb//hcoU8a2VKFDuhSwMWY1gORy07QIJshMnw5ccgnQtq1tSezx0UcszN+wgVYvwIL9G2/0K9s6dXSFrSi22LGDi98ffuC5OXs2cO21tqUKPfQSFWZERvJAzpfPtiR2mDUL6NuXxfrDh1PZNmoEFCliWzJFUc6fB8aOBUaMYIhs1Cjg8ceBPHlsSxaaqAIOIzZv5t9jj9mWxA67dwM9erAR+5w5Gr9VlFBi5kzGdv/8E7jtNpYYaeFL6mi+Zxjh5fKjCxeAbt0Y//72W1W+ihIq/P030L070L49G9dMn85zVJVv2qgCDiMiI9mu7fLLbUsSfAYPBv74g/Fft4wiU5RwJjaWuRhXXgl8/z3w4ovA2rVAx462JQsf1AUdJpw+zXZtDz9sW5Lg8803wPjxTOro1s22NIqiLFhAd3NMDD1yb74JVK1qW6rwQy3gMGHOHCY4eM39vHEja56bNQNee822NIribQ4cAHr1Alq3ZhngtGksNVLlmzlUAYcJkZGMe7ZqZVuS4HH6NHDHHSy7+uYbzaRUFFvExwPvvMMQ2FdfAUOGsB/9rbdqQ6CsoC7oMMAYKuB27bzTm9gYoF8/nuS//w6UL29bIkXxJkuXMvS1YgVw3XXAhAmahxEo1AIOAzZuZGF7p062JQke773HGaHDh3PhoShKcDlyhIvgpk2BPXuAr79mqZEq38ChCjgMiIzkrVcU8LJlnJYSEQEMG2ZbGkXxFgkJwMcf09380Uc8FzduZKmRupsDi7qgw4DISLZW9EJd3eHDjPuWKQN8/rlOJlK8yaJFdjw/q1fzHPRRsiQQHc3GGqlRvjyVtp6vGUMVcIhz4gRT/h9/3LYk2U9CAnDvvcC+fUBUFFCsmG2JFCX43HUX62rPnQveex4/zhrexDRrRoWalhx79rBF7Jgx3p3rm1lUAYc4s2ax4N0L5UcjR7KLzrvvcpKRoniRp57iXzAwhrHdJ5+ke7l/f56HRYumfx8TJgCPPpp9MroZVcAhTmQkUKiQ+wdX//478MILwD33MPFDUZTsZf16Ks45c7jg/fFHDjZRgod67EMYX/lRhw5A7ty2pck+du2i261WLWY/a6KHomQfp04BzzwD1KvHmO+773Ketirf4KMWMNhhatkyFpuHErt2Mb7iZvfzhQtA16681SELipJ9GMPOVYMG8dpy//3A6NEat7WJKmCwoXiolrvkyuXu5uZPPQUsWQJMmcKyB0VRAs+WLcCAAcCvvwJ16zLu26KFbakUVcCg9Vu5MtPoQ43SpVmS40YmTQLeeosr8jvusC2NoriPs2eBUaNo6ebJA4wbxyEKufTKHxLozwBO9GjYELj2WtuSeIcNG4A+fZhcpkMWFCXwREbS6t26FejRA/jvf4GyZW1LpSTG80lYp08Df/0FXHWVbUm8w6lTwO23A/nzc8iCmxPMFCXY7NgBdOkC3Hgjrd5ZszhAQZVv6OF5C3jdOiYn1K1rWxJvYAzQty+waRMwYwZQrpxtiRTFHVy4AIwdC7z8MisJRo1iAx+dIha6eF4BR0fzVi3g4PDOO0wAGTmSk1UURck6s2YxtrtpE63fceO80bo23PG8CzomhqUvVarYlsT9LFnCFflNN3GeqKIoWWPPHsZ327UD4uIY9/3uO1W+4YLnFXB0NAcdaBPx7OXQIdb7lisHfPaZft+KkhXi4oA33uBowGnTgBdfZC9nr0xMcwuedkEbQws4rUkfStaIjwfuvhvYv59TXjLSZ1ZRlKQsXAg8/DCvXZ06sZSvalXbUimZwdN2yN69HL2l8d/s5eWX2ev5rbeABg1sS6Mo4cmBA+xe1aoVcOwYXc2//KLKN5zxtAKOieGtZkBnH7/+CgwfDtx3H/Dgg7alUZTwIz6e/ZqvuAL48kvmT2zYwGQr7Zse3njaBa0Z0NnLzp10PdepwwuIXiwUJWMsW0Z38/LlbBQ0YQJQs6ZtqZRA4XkLuFw5HfyeHZw/z6Sr2Fhg6lQ23VAUJX0cOQI89BDQpAnw999spDFrlipft+F5C1it3+zhySeBpUs54ahGDdvSKEp4kJAATJwIDB4MHD0KDBwIvPQSZ4Ir7sOzFnBsLOMoGv8NPF99RVfZE09ohrmipJc1a4DWrYHevbloXbGCpUaqfN2LZxXwn3+ydZtawIFl/XomW7VsyVZ4iqKkzokTbFDToAE7WX38MbBgAVCvnm3JlOzGsy5ozYAOPHFxHCt46aXA5Mk6ZEFRUsMYjuR88klg3z6gXz+2aNWcFO/gaQWcKxc7ySiBYc0auvU//VQnryhKamzYADz6KDB7Ni3fH34AGjWyLZUSbDzrgo6OpvLVSSGBIyqKtzpkQVGS5/Rp1vHWqwesXMnhJEuWqPL1Kp62gJs3ty2Fu4iKAipU4J+iKH6MAb7/Hhg0iPXxvXoBo0cDpUrZlkyxiSct4OPHObRaE7AChzFUwC1a2JZEUUKLv/4CbryRFQGFCzPB6pNPVPkqHlXAa9fyVhOwAsfOnWwYoApYUci5c5xSVLs2Byi8/jrdzi1b2pZMCRU86YLWFpSBxxf/VQWsKMD06cCAAbR+u3cHxo7VxETl33jSAo6JoStIY5WBIyqK5Ue6qFG8zM6ddDVHRLDKYuZM4OuvVfkqyeNJBexrQanDAQLHwoVA06a86CiK17hwgY1natYEfvsNePVVXmeuv962ZEoo4zkFbAwtYI3/Bo7jx/mdamxL8SJz5rCsaOhQoEMHdoMbMkRLHJW08ZwC3rmTrd/UVRo4Fi/mwkbjv4qX2LsXuOsu1r1fuAD88gswbRpQqZJtyZRwwXMOQ21BGXiiooAcOTg6TckcFy6wD/Datf6/YsWAMWOAEiVsS6ckJi4OePtt4Pnn+bu98ALwzDNAvny2JVPCDc8pYF8GdJ06duVwE1FRdMEVLGhbktAnIQHYts2vZGNieLtpEy/sAOPoNWoAW7Ywnvj55xpLDBWiooCHH+Z1pGNH4K23gGrVbEulhCueU8AxMUDlyjriK1DExbGV3v3325YktDCGDfYTK9m1a4F164AzZ/yvq1KFi8FbbmFYpE4dKt+8edlbu3t3oH17zocdPlzjirY4eJBW7iefsHri22+BLl00kVPJGulSwCKyHcBJAPEA4owxDUWkGIDJACoD2A6gmzHmaPaIGTh8GdBKYFizhv1tvRz/PXaMijWxol27Fjh82P+a0qWpXB980K9oa9VK3WtQrx5nwj7+ONsWzprFkha1uIJHfDzw4YfAsGHAyZNUws89BxQoYFsyxQ1kxAK+1hhzKNHjIQBmGWNGicgQ5/EzAZUuwJw/T1dfly62JXEPXmrAcfYssHFjUkUbEwPs3u1/TcGCVK633eZXtHXqACVLZu498+cH3n+f2bUPPghcfTXjj/fdp9ZXdrN8OfDQQ7y99lpgwgSWGSlKoMiKC7ozgLbO/YkA5iLEFfCGDVzRqgUcONw6gMEY4OefaYH6FO6WLYzhAnQF16wJtGmTVNFWrJg9ivH224HGjYF77mEj/99+A959lw1llMCyeDHQtat/YdW9O9CjB3//LVuCI0PjxvSaKO4mvQrYAPhdRAyA940xHwAobYzZCwDGmL0ikmxrcRHpC6AvAFSsWDEAImcezYAOLMawAUebNrYlCTyLFzMuK0KXb506vBD7FG316sFvOlKhAufHvvoqewwvXgx89RUboCiBo1mzpI8nTeJfMLnzzuC/pxJ80nsJaWGM2eMo2RkisjG9b+Ao6w8AoGHDhiYTMgaM6Ggmt1SvblMK97BjB7Bnjzvdz40asYn+mTM8bi65xLZEJGdO4D//YVb0XXex+clLL7HxQ86ctqVzB2vWAMuWAfXr23n/u+9OmqinuJd0KWBjzB7n9oCITAPQGMB+ESnjWL9lABzIRjkDQkwME1+0XWJgcHP8N1cuYPx4oF07YNw4KrhQolkzYPVqoH9/KuQZM1iu5LZQgA3q1rXrJcuf3957K8ElzU5YIlJARAr67gPoAGAtgB8B9HRe1hPAD9klZKCIidH4byCJimLSkVu/0+uvB269FRgxgpZ+qFG4MF3Qn37KRKF69YDvvrMtlaIo6SU9rShLA1goImsALAXwizHmVwCjALQXkc0A2juPQ5bDh3kR1fhv4IiKYvzRza7P//4XiI1lGUooIgL07AmsWgVUrcpkrX791IWpKOFAmgrYGLPVGFPP+attjBnpPH/YGHO9Maa6c3sk+8XNPL4ELLdaa8HGN4DBje7nxFStyjrciROBpUttS5My1atzQTR4MPDBB0DDhoxlKooSunhmGIOvBaVawIHBSwMYnn0WuOwyYOBAfuZQJU8eNuyYMQM4epSlLG++GdoyK4qX8YwCjolhU3utrQsMXhrAULAgS398ZT+hTrt2XHB26MBFw003AQdCPkVSUbyHZxSwrwWldg8KDFFRLNPwygCG++6jW3fwYODUKdvSpE3JksCPP3JYwKxZ9Pz8/rttqRRFSYwnFHBCAjsZqfs5MMTG0hr0gvvZR44cdOfu2UM3bzggAjz6KGPXxYsDN9wAPPUUR+gpimIfTyjgrVuZFaoJWIFhzRp+n15SwABrb+++mzN6t2+3LU36qVuXjSX69wfGjuXn+PNP21IpiuIJBawtKAOLL6GtYUO7cthg1CiWXT39tG1JMkb+/OwdPW0aFw/XXMPRepqgpWQVXz/yyEi7coQjnlDA0dF0x9WubVsSdxAfz9tQac8YTMqXZ1esqVOBefNsS5Nxbr2VHoxGjYDevdnf+tgx21Ip4cyddwJt27L+fMkS29KEF55QwDExbKivLd6UQPDUU5x6NHCgfzESTpQvD8ycCbzyCgfL16vnbyuqKBkld24uSMuV4wIv8XhOJXU8oYB9GdCKEgjy5WOHrDVrgI8+si1N5siZExg6lIo3Z06gdWsOdYiLsy2ZEo4UL86s+9OnqYS1E1v6cL0CPnOGMzw1/qsEkjvuoNJ69tnwduE2acKhDj16cMThtdcCO3falkoJR2rXZp38ypUMb2h+Qdq4XgGvW8cDQS1gJZCIcErS4cPA8OG2pckahQoBX3zBaUqrV9MlPXWqbamUcOSmm9i0ZvJkYORI29KEPq5XwJoBrWQXV18N9OnDZhebNtmWJuvccw8VcI0aQNeu/GynT9uWSgk3Bg/msfTcc8y6V1LG9Qo4OprJV5dfblsSxY2MGMHj64knbEsSGKpWBRYuZKb3xx8DDRpw0pKipBcR4MMP2Yv83nv9ZYvKv3G9Ao6JAerUYScjRQk0pUoBL7zAGki31EHmzk034syZwMmTHDn5xhvsKKco6eGSS4DvvweKFAFuuUV7kaeEq9WSMZoBrWQ/jz5Kt+0TT7irzeN11zHTu2NHfrYbbwT277ctlRIulClDJbx/P5MW3XRuBApXK+D9+4FDhzT+q2QvefIAr7/OOPCECbalCSwlSvAiOmECMHcuz6Vff7UtlRIuNGwIfPopsGAB8PDDmhl9Ma5WwL4ELLWAlewmIoKW4ksvAQcP2pYmsIjw4rlsGV3uEREcTKEo6eHOO1mu99FHetxcjKsVsC/4rwpYyW5EaAWfPs3sTzdSpw5bDXbuzC5ggwaFZycwJfgMH84GHU88oWMxE+NqBRwTwzhEiRK2JVG8QM2ajAd/8AHLedxI/vysER40CBg/Hrj9di1VUtImRw7WmdeuTYtYp3ERVyvg6GiN/yrB5fnn2ZZv0CD3xrty5mRW9JtvAj/9xEb8+/bZlkoJdS69lO0qc+UCbr45vDvIBQrXKuC4OGD9enU/K8GlaFHg5Zc5Kenbb21Lk70MGMBGC+vXs1Rp/XrbEimhTuXKPC+2beMkLq/3HnetAt68GTh/Xi1gJfg8+CCPu6eeAs6etS1N9nLLLcD8+TzXmjcHZs+2LVF4s3u3+2tmW7cG3nkH+O03ds3yMq5VwJoBrdgiZ072id6xAxg71rY02U+DBsDixRxzeMMNwMSJtiUKPxISgPffB2rVAo4eBR54wLZE2UufPsBjjzGU8fHHtqWxh2sVcHQ0L4Q1a9qWRPEi117LBKVXXwX+/tu2NNlPpUpsYdmmDdCrFycruTUGHmg2b2bTk/792b4xJoaZ5m5n7FigfXt+7oULbUtjB9cq4JgY4IorgLx5bUuieJUxY1imM2SIbUmCQ5EibMfZqxfroXv21O5HqREXx7nSdesya/5//wNmzPBO3/pcuTg1qXJl4Lbb6DHyGq5VwNqCUrFNlSrAk09y1N8ff9iWJjjkyUOX4ssvs+zkhhvoUlWSEh0NNGsGPP00v6P16+l2FrEtWXApWpSZ0Rcu0Oo/dcq2RMHFlQr4xAlg+3ZNwFLsM3Qoa9EHDvTOMAMR4D//4cJj0SImZ23bZluq0OD8eZaqNWhAi2/yZGaSly1rWzJ7XHklMGkSvZY9e3rnPAFcqoDXruWtWsCKbfLlY/OBZcuAPXtsSxNc7r6bXY/272eZ0tKltiWyy+LFwDXX0DvQowewYQPQrZv3rN7k6NiR7vjvvmP4wiu4UgH7MqDVAlZsYgx7KM+cyYST8uVtSxR82rShFVygABt2eHFA++nTwOOP0xNw8iTj5J99xoYtip9Bg4D772fbym++sS1NcHClAo6OBgoVAipWtC2J4mWefZZtKYcOZQ9cr3LllbT+6tZlZvi4cd7JkJ41i564ceOAhx6id65TJ9tShSYiwLvvcqHSqxewcqVtibIfVyrgmBge9OraUWwxdixLkPr2BUaOtC2NfUqVAubMAbp0oTX42GPuHuRw7BhrXdu1Y7bvvHkc6ViokG3JQpu8eemGLlGCSVlub3HqOgVsjGZAK3b55BN2weralR1/dCFI8uUDpkxhZvjbb1MZu3GQw/ffs6HGp58CzzwDrFnD7k9K+ihdmpnRR47wGDl3zrZE2YfrFPC+fcDx40CxYrYlUbzI99/T8mnfnmU4OXPalii0yJGDyTYTJgC//MIY8d69tqUKDPv3M6mqSxda/EuWAKNGceGhZIz69RknX7wY6NfPvSEL1yng0qUZQ3j1Vc5ndesPp4Qec+eywXyjRnSjaROYlHn4YVo5GzcyQ3rdOtsSZR5juNiqVQv44QeGHJYtY6mRknluv50Z0Z995t6Wrq5TwDlyMOv0ttvo6nr0UZ24oWQ/K1ZwMEHVqrTsLr3UtkShz403cpBDbCwXzTNn2pYo4+zcyc9x333svLd6NTBsGJA7t23J3MFzzzGUM3gwzyu34ToFDNDl88037DLzzjvArbd6r8OKEjw2bWIdY7FirHvV8pL0c801dNVWqsTs4E8+sS1R+khI4LWldm0uIt58E1iwQHvPBxoRxtLr12fttNtGXrpSAQO0hF97jSfJ9OlMgvBaIwQl+9m1i/FeEfbxLVfOtkThR4UKbMZ/7bVA7960ekI5dLRpE2PXjzzCdpJr13I2ssb7s4f8+enaz5+fXqbDh21LFDhcq4B9PPQQ8NNPwJ9/Mtbka9KhKFnl0CGgQwcm/f32G1C9um2JwpdChehi7NMHGDECuOee0CtTMoaL+nr1qHQ/+YS/e+XKtiVzPxUqsInLrl1MdIuNtS1RYHC9AgaAiAi6h+LjgRYtaKkoSlY4eZLH1fbtXOBdfbVticKbEyeAr7/mQHqAvYFDrX/0V1+xrCgigm0ke/XSErNg0qwZG9vMns1acjfgCQUM8AK5eDFXqxERwEcf2ZZICVfOn2epycqVzDXQGs/McfYsMHUqs11LlWIj/o0bOb5x9WqgWjXbEvo5dYqJQA0bUubLLrMtkTfp2ZPJtRMmAO+9Z1uarJPLtgDBxBdr6taNrq5t29gYXVexSnqJj+eQgVmzgIkTgZtvti1ReBEbSw/U11+zZvrUKZYO9uvHEq6mTUPzfBw9mjkkU6Ywv0Sxx+jRTMYaMIBtTtu2tS1R5vGUAgYYa/rpJ9YhjhwJbN3KWI7WbCppYQzQvz/w7bfAG2+w9ERJm/h4hoC+/prW45EjnAPbvTv/2rYN7QSm7duBMWOAu+5iuZRil5w5eSw1a0bvybJlwOWX25Yqc3hOAQOs0fvgA9ZsDh3KuNO0aVo+oqTO0KHA//7HWbeDBtmWJrQxhhfGr7+mm37PHk5E6tyZSveGG4A8eWxLmT6efpoX/dGjbUui+ChcmI1cGjdmZvSiReHZZ9uTChigm2vIEKBKFcYVmjVjuVLVqrYlU0KRMWN4Ae7fn+PSlORZu5ZKd9Ikepfy5GHORffuwE03UQmHE/Pm0WofPtyb4yRDmWrVgMmTWYnwxBNcHIcbnlXAPu68k7WbnTsz/vTjj1TGiuLj44+ZgHPnnRwiEIoxSpv89RcV7qRJVMA5cgDXX09PQZcuQJEitiXMHPHxwMCBHGv61FO2pVEuJiGBChgI39nvnlfAANCyJTOkIyLYDODzz9n+TFGmTQMefJAu088+C+1YZTDZs4cXv0mTgKVL+VyLFlygdO3KrOZw56OPOMlo8mQdqBBqGMORlh99xMYtjz1mW6LMke58PhHJKSKrRORn53ExEZkhIpud26LZJ2b2U7068McfbKDerRtdjqHcjUfJfmbPpuu0cWMmXoVLzDK7OHwYeP99LlLLl6fbLzaWzSl27GCFwSOPuEP5HjsGPPss0KqVLsZDDWPokZowgSVJL71kW6LMk5GE+oEANiR6PATALGNMdQCznMdhTYkSLC/p1o0/8MMP6yAHr7J8OcMSNWqwQ1O4xS4DxcmTwBdfcODAZZcxBr53L/DCC6zZXbmSSUoVK9qWNLAMH84Fx/jxGnIINV56iSMtH36YhlI4/z7pckGLSHkANwIYCeAJ5+nOANo69ycCmAvgmcCKF3wuuYRJJFWqMOlmxw66oAoWtC2ZEiw2buRggJIl2WrQi7Ol58xhH/Wff+ZA9IoVafH26MFWjOF80UuLjRuBt94CHnhAO5yFGqNHUwHffz9/o3A/DtMbAx4HYDCAxGqotDFmLwAYY/aKSLKOJxHpC6AvAFQMk2VyjhwcpF21KntJt2pFK0gb7bufnTs5XCFnTk42KlvWtkR2uPtudvzq04du+GbNvNOAYtEier4iI9kroG9fLsYUu7z5JitXuncHPvzQHcdjmh9BRG4CcMAYsyIzb2CM+cAY09AY07BkmB3FDz5IxfvXX0CTJkzIUNzLwYMsaTh5kpZvKLVCDDaxsbzQvfUWk6vccLFLL7168byvU4eZ3BUq0BrW898eH37IjPQuXdyVDJme06oFgFtEZDuASQCuE5EvAOwXkTIA4NweyDYpLXLDDUwuAZgt/dtvduVRsoeT0j9m3wAAIABJREFUJ+l23rGDbtd69WxLpNgiRw5WRPz2G1se3n8/s73r12fXrmnTQm9Sk5v54gu2Ku3UieHB3LltSxQ40lTAxpihxpjyxpjKALoDmG2MuQfAjwB6Oi/rCeCHbJPSMvXqcWh4tWpMRvngA9sSKYHk3DkmXK1Zw6YLLVvalkgJFWrWBN59l93yxoxhW8rbbuO1YOxYZksr2ceUKWyUdO21rERwW8vgrDiWRgFoLyKbAbR3HruWcuWA+fPpouzXj7GIhATbUilZJS6OiUVz5gCffsoFlqJcTNGibMaxZQsVga85R7lyzMbduNG2hO7j55/Zf7tZM+CHH9xZi50hBWyMmWuMucm5f9gYc70xprpzeyR7RAwdChZkp6z+/ZmN16MHrSclfHnlFU7l+e9/mXikKKmRKxct4HnzWILVrRubQdSsCXTsyHa2ujDPOjNmcNBC/fqMx196qW2JsgcPpVYEhly5WJ7x2mtsMt+uHXDokG2plMxy1VUsZViwQGu+lYxx9dWcpLZrF8eaRkczdlyzJjuCnTxpW8LwZP58hoSuvJJx+MKFbUuUfagCzgQibD7wzTds2NCsGbB5s22plMzQpQszfX/4gVnvar0oGaVUKWZLb98OfPkle18PGODvFrZ1q20Jw4fFixkGqlSJVrDba/BVAWeBrl3ZrvDYMSrhqCjbEimZ4ZFHWNz/6adcWGkLUiUz5MnDmOWSJWxrGxHBxV21asCttzLPQI+tlFm5km780qXZkdANLU3TQhVwFmnenKu2YsU4AcY3nUMJL557jlbL66+zCYuiZIWmTVkys307MGwYF+fXXceKiv/9Dzh71raEocW6dUxwLVyYytcrDXBUAQeAqlW54m3UiM0LxoyxLZGSUUSAceOYiDVsmJaaKYGhXDlgxAh2WPvoIx5nDz7I5h7PPstuY17nzz9pvOTJQ+VbqZJtiYKHKuAAUbw4YxY1ajAhQ11N4UeOHEyqufFGZrpPmWJbIsUt5MsH9O4NrF5NV3SrVszA9/pCb9s2Kt+EBCpfr3WfUwUcQDZs4GpuwIDwbxLuVXLnZnJdixa0hmfMsC2R4iZE/N20fJO2vMru3VS+p0/zPKtZ07ZEwUcVcAAZNoyx4MGDbUuiZIX8+YGffgJq1WKW9JIltiVS3EhEBDB3LnDmjG1Jgs++fVS+hw6x1MirrV9VAQeIuXOBX38Fhg51d92aVyhShL/nZZfxQrlunW2JFLcREcEY8Jw5tiUJLocOceLY7t2cONWokW2J7KEKOAAYw9aU5cuzpEVxB5ddRtdY3rzM0Ny+3bZEipto3ZrelshI25IEj2PHOOBm82Z6mbzed10VcAD4/nu6KV980Z39Sr1MlSqcC3zmDFft+/fblij7iYujZaZ5DNlL3rzspBcZ6Y2kTd/EsZgY4LvvWJbldVQBZ5G4OJYTXHklp3Yo7qNOHV4k9+xho4Djx21LlL289x4vlh062JbE/URE0LPi9mEOZ84AN98MLFvGXgkREbYlCg1UAWeRzz5j9vPIkewTrbiTZs24al+3DrjlFvc2Ujh8GHj+eSbI3HyzbWncT6dOvHWzG/r8eSYzzp8PfP457ytEFXAWOHcOeOEFoHFjPai8wA038AKyYAFw551AbKxtiQLPiy/Swh83Tl3QwaBiRb+HxY3ExnJi1O+/swNYjx62JQotVAFngQkTmMk3apRerLzCnXfyd//pJ+CBB9w1vGHtWg6ff+ghKgUlOEREcFF34oRtSQJLXBxr6X/8kdOheve2LVHooQo4kxw/zk42HToA115rWxolmDz0ELudff458OST7kigMQYYNAgoVIiDKZTgERFBS3HWLNuSBI6EBCrcKVM4a1urQ5JHo5aZZMwY4MgR4NVXbUsSfHwrdS9nfD/7LOOl48YBJUrwcTjz449UAG+9xbaqSvBo3pwLn8hId4SyjOEi9fPPgeHDuUhVkkcVcCbYtw944w26I6+5xrY0wWf1ajaZd/usztQQAcaOpRL+z3/4XTz0kG2pMsf585xbW6sWe2ArwSV3bnrSfOVI4RzOMgZ4/HH2uB4yhOeGkjLqgs4EI0YAFy7QDelFVq4Err7athT2yZGDE25uvpkutnAdRTluHIfGjxunmfy26NSJZW7R0bYlyTzG0BM0fjwwcCBDdOG8mAgGqoAzyF9/Ae+/D/TpA1Svblua4HPmDGsWvWj5J0fu3FS8rVoB997LvrbhxL59XFDecgsbjSh26NiRt+GcDT1yJENyffvSQ6jKN21UAWeQ55/nRfe552xLYoeYGCZYqAXsJ18+xlBr1wZuu42zocOFYcPogh471rYk3qZsWZ5T4aqAx47lNfHee5lJr8o3fajDKQOsXg189RUHLpQta1saO6xaxVtVwEkpXJjDG1q25Dzh+fNDv5Rn2TLOP3766eydwxofz6qBw4eZuJieW2OA2bPZCtQrRETQgjx6FCha1LY06WfGDOCpp4CuXYGPP2ZoRkkfqoAzwLBhPDG8PG5w5Up+BxUr2pYk9ChdmhejFi2YVBMVFboKxBjG6UqVSn+ijDFUpOlVor7bY8dSLtUS4eSp4sWZyFayJLuMrVvnjvKujBARQTfu778zwTNcKFmSt02bag5BRtGvK53MmwdMnw689hovGF5l1SrGf9XFlDyVK/MC2ro1Y6oLF3KqUihhDLNU//iDyWNLliSvPC9+7uhRWrMpUbgwlahPmVatmvTxxbfFivFcypkz6X7uuAM4dSp0Fy/ZRZMm/E4iI8NLAdevzxyIt97iou7i31NJGTFBXGY2bNjQLF++PGjvFyiMYa3erl0co+XV+tfYWKBgQWDAANZBKymzZAn7KVerxlnR2bFoM4ZJcakpzeRu05rodOmlqSvO5G6LFg2M9ZOQQIuqc2e6M73GXXexHnvv3vBy5X77LRdO06YBt95qW5rQQkRWGGMaJrdNLeB08MMPwOLFwIcfelf5Asx+Pn9e47/poUkTXoxuvJFlSr/9xtmvKXHuXMZdu0eO8PdIiXz5kirJWrV4+8EH3N67N7OfEyvTokU5Js8W0dH8XF7tLhcRAXz9NUM9DZO9ZIcmnTszLDV+vCrgjKAKOA3i4xn7rVED6NXLtjR2WbmSt6qA00f79sCXX9KdeNNNVMopuXrPnEl5P3nyJFWk1ar53ZWpuXeTWyzu2MEJXrfeyhrmUGPOHN56VQHfcAPDO5GR4aWAc+ViOOOZZ7iIqlvXtkThgSrgNPj8c44bnDJFEwxWraIVV6OGbUnCh65dmYT0yCNsuJ9YSVauzHh6Wi7e/PkDF3MfPJj7Gj06MPsLNLNn8/gqX962JMHn5ElWWBiTdpggFOnTh9O03nyTk4+UtNEYcCqcO8eLQenSwNKlmnjUpg3jwIsW2ZYk/LhwgfXjNo+h+fP5G774IsdohhpxcVxw3HUX8N57tqUJLgsXAvfdRw/FM8/wN8qTx7ZUGad/f2DiRObLlChhW5rQILUYcBiF+YPPu+/yQNJxg0yOWbVK3c+ZJU8eu8dQfDwzVCtUYN1vKLJyJa3A666zLUnwOH+eCrd1ax4f8+ezhWM4Kl8AeOwxGi6+PAMldVQBp8Dx46zJa9+e2axeZ+tWXhy1BWV48sknbCTz2mupJ4PZZPZs3rZta1WMoBETAzRuzN+kTx/+Pi1a2JYqa9SqxWvmO+/QW6akjirgFPBNuvHiuMHk0A5Y4cvx40wkbNEitOtLZ89m97BSpWxLkr3Ex3NGbsOGjPX+9BMtxoIFbUsWGAYOBP7+m6VJSuqoAk6G/fuB118HunUDGjSwLU1osGoVk9Bq17YtiZJRxowBDh1iiUiohlLOn2cc1O3u5+3b+RmffpolajExzJB3E506MVN//HjbkoQ+qoCTYcQIxjG8Om4wOVaupPK1WSOqZBxjgC++4LSdUF5MLl3KFpRuVcDGAJ9+yvKcVat4/9tv/W0c3USOHGzWs3gxf1clZVQBX8TWrf5xg1puQ4zxt6BUwosVK5hZ27WrbUlSZ/ZsWuetW9uWJPAcPMgpWfffzxBOdDTQs2foeiMCQa9edKm/+aZtSUIbVcAX8fzzdLU+/7xtSUKHvXuBAwc0/huO+OrXO3e2LUnqzJ7NBV44TQFKDz//zLh2ZCTjvnPmsP7b7RQqxE5r33zD64eSPKqAE7FmDccNDhzo3XGDyaEdsMITY4CpU5nFX6yYbWlS5swZuivd5H4+eRJ48EG2IS1TBli+HHjyyfDq75xVBgxgbfe779qWJHTx0OGQNsOGcaKLl8cNJseqVXSX1atnWxIlI6xaxZBKqLufFy1ioxK3KOCoKE4I+ugj1vguWQJcdZVtqYJP1apMMHvvPebUKP9GFbDD/Pl0Ew0Z4j43WFZZtQqoXt09ZRJeYepUjoYLB/dzrlxAy5a2JckaFy6wlWTr1vQ+zJ/PJj5eTlwcOJAx8EmTbEsSmmgrSvBkadGCySqbN4duowJbVKnC5v96EoUPxjCJsHJlYMYM29KkTrNmdM1GRdmWJPOsXQvccw/DWA88ALzxhi5YAR6HdetygbVypbsTz1JCW1GmwU8/cTj5Cy+o8r2YI0dYu6jx3/AiOhrYsiX03c8nTgDLloWv+zkhgU17GjRgstEPP3AQgSpfIsL2lKtXs85bSYrnFXDicYO9e9uWJvRYvZq3qoDDiylTaFWG+mzWBQt4Dobj+MEdO7hweOopNp+IieF8ZSUpd9/NJEBtzPFvPK+Av/gCWLeOzTe8Pm4wObQFZfhhDBVw27ah39ZxzhzGSJs1sy1J+jGGE3/q1qVb9eOPgWnTQv+7tkX+/MwInzaNixbFj6cV8LlzrPdt0AC44w7b0oQmq1ZxNqsbO/a4lXXrgD//DI9jevZsoHlzIF8+25Kkj0OH+L326sWqgDVr2GDDi7HNjPDII/yOJkywLUlo4WkF/N57wM6dOm4wNVauVOs33JgyhcfzbbfZliR1Dh9miCNc3M+//MKmGj//zAlGc+YwQVFJmwoVeDx++CFw+rRtaUIHzyrgEyc4brBdO/4p/+bMGWDTJlXA4cbUqSyFKV3atiSpM28e3bmhnoB16hTQrx9rWkuVYtLY00+zxEtJPwMHAseOAZ9/bluS0CFNBSwil4jIUhFZIyLrROQl5/liIjJDRDY7t2FVPTt2LN1Jr7xiW5LQJTqaWZ7aAzp8WL+ef6Ge/QzQgixQAGjUyLYkKbNoEZtqfPghG/QsW8bYr5JxmjdnuO/NN7nwUtJnAZ8HcJ0xph6A+gA6ikhTAEMAzDLGVAcwy3kcFhw4QAV8xx2hffLbRltQhh9Tp4aH+xlg/LdlSyBPHtuS/JsLF4BnnwVatWKW9rx5wOjR3m6qkVVEaAVv2ADMnGlbmtAgTQVsyCnnYW7nzwDoDGCi8/xEACFe8ODHN25wxAjbkoQ2q1bx4rhhA1saxsfblkhJiylTqNTKlLEtSers20dLPRTdzzt2AE2b0jvWqxcTrVq1si2VO+jWjaERLUki6Sq8EZGcAFYAqAZggjFmiYiUNsbsBQBjzF4RSTYJX0T6AugLABUrVgyM1Flg2zYmX/XuDVxxhW1pQpu8eWkJdOzIx7lzA5dfzraUF/9VqOCtRvOhyMaN7MgUDhe3uXN5G4oK+Ndfufh8+WXgP/+xLY27yJsX6N8feOkldh2sXt22RHbJUCtKESkCYBqAAQAWGmOKJNp21BiTahw4FFpR3nsv3XRbtgDlylkVJeQxhpbK5s3//tuyhQPUfeTNy+brFyvmatX4Patyzn5GjACeew7YvTv0j+2+fTmq7vDh0EtmOnMGuPJKoHhxTjEKNfnCnX37gIoVqYi9MC84tVaUGWo9YYw5JiJzAXQEsF9EyjjWbxkAB7IuavYSHQ18+SUzGEP9AhUKiNCVWabMvwelJyQAe/b8Wylv3kwL4vx5/2vz5UteOVevzn1rCVhgmDqViS7hcGzPng20aROayi1/fmDMGKB7d+CTT4A+fWxL5C4uu8z/3b78MifQeZU0LWARKQkg1lG++QD8DmA0gDYADhtjRonIEADFjDGpDvKzbQHfdBMbvm/dqhOPspOEBFphyVnOW7fSre2jQAFayckp51KlVDmnl82b2U71jTeAQYNsS5M6O3cClSoB48YxKScUMYaLzk2b+N16WUlkByv+396Zx9lYt3/887Vnyb6MJUv2FMOQPUuiyJI8KFFUtCHK1lOk5aGEtictFCmUkKWSkJAlIfu+ZKfpyZpl5ly/Pz5zfjOEmTHnnO+9XO/Xa15nnBnnvr7nzH1f9/daPtevQEyMO/5e00pad8BRAMYn5IHTAfhCRGYbY5YB+MIY0w3A7wAc3fiweDEb6f/zH3W+4SZdOoaYbriBw+CTEh/PC/Cljvm334AZMzjAO0iOHJcPaZcpA+TLp845KVOn8rFtW7t2pISFC/noxPxvEGOYS4+J4S5txAjbFnmLatU4ge7tt4GnnnJmJCQS+GIcoQirGHftYphUJx45k7g4Tl4KhrKTfu3Zc3EV9j33AF99ZctS51G1KvPwy5bZtiR5unTh7O0jR5xfG/Dww9R93rBBizZDzZdfsir666+9PcTiajtgXzjgWbP4AY8ZQ0UbxX2cP08nvH078P77wNy5wPHjQJYsti2zz86djAyMGAH07WvbmqsjwvBzzZoswnI6R44w4lK/PiUoldARF0cpz3LlvN0X7Ot5wMFxg2XK6LhBN5MpE3OczZvzczx/nnkkJTES4IbhCzt3Avv2OTv8nJSCBTmwZc4cFhcqoSNDBg5pmD+fEQY/4nkH/Nln/HBffpl9rIr7qV2bj0uX2rXDKXz5JRXdihe3bUnyLFjAR7cMYAA4UL5MGeDpp4ELF2xb4y0eeYRdEn5oR7ocnnbA587x7rVqVXfsDpSUUaAAL4jqgBmWX7XKHdrPAAuwChdmNMMtZMoEjBxJoZP//te2Nd4ib16gUycOaIiNtW1N5PG0Ax4zhrJyw4aFttgjPh6YMoX6sIod6talUL7fRd2D1c9uuMEU4Q64USP3VbA3bw7ccQcweDBw7Jhta7xFz56UBv7wQ9uWRB7POuCTJxl2btQodOMGAwFe8G6+mY3kDRtyh60ayZGnTh1Os9q2zbYldpk6lS0dbphLu2kTB6G4KfwcxBj2rJ46xXNeCR2VKrFd8d13/Rfi96wDDo4bHDYs7XfbImybiIlJDPVNnkyh9pdeApo25YVFiRx16vDRz2Ho338HVqxwx+4XSMz/uqUA61IqVmTR0AcfUFVPCR29elG8Z/p025ZEFk864OC4wbZt0z5u8Mcf2UPcvDmHSY8fD6xfD7RvD4wbx6+lSzkzdPHikJivpIBy5Zg/WrLEtiX2cFP1M8D8b8mSQIkSti25doYMoZBP796a/gglzZtTrtZvxViedMCvvMJBAa+8cu2vsXIl0KQJw2W7dwPvvccijM6dL1ZteeghYPlyIHt2/u5rr+mJGQmMYTW0n3fAX37JG7/SpW1bkjzx8byZdWP4OSm5czPqtXCh/3Zr4SRdOuDJJ3k++6m90HMOeM8eOsuHHro25Zp164DWrYFbbwXWruVOescOTu640uDwypVZidqmDdC/P/////6XpmUoKaBOHeaA/VgUs38/Va/cUv382288J9wafk7KI48wb9m3L4uHlNDw0EPcyLhhnGao8JwDHjyYO9TBg1P3/7ZtAzp25I7ixx95l7trF9CnD/vUkuP666ns8+abwLffsvXJT3dyNgjmgX/+2a4dNnBj+Blw/w4YoIDE6NG82R850rY13uH664EaNVhfc+aMbWsig6cc8Pr17Cd76imgaNGU/Z+9e4Fu3VhgMXMmMGAAHe+//81hAKnBGJbUL17MkFvt2tyNa0g6PMTEMCrhxzB0sBrfLf20CxYwIlW4sG1LQkPjxox4vfoqx3IqaePcOfYDL1jAnXBKNj1ewFMO+LnneBc1YEDyv3v4MB112bLAxInMP+zaxRMqT5602XHrrcCaNTxJH38cuP9+ti8ooSVLFrbg+M0BHzzINbsl/HzhAvDTT94IPydlxAiubeBA25a4mz//ZL3N559zWt2YMe7rE79WPOOAlyzh0IX+/a/uQGNj6aBLleLutEsX5nhHj6bua6jIm5fi7a+8QtGO6tWBjRtD9/oKqVOH+Xc/5eKmTWNUxS3h519/5Q2o1xxwqVLMA0+YwHYwJfXs3MlI4YoVwKRJvDb7xfkCHnHAIvzgChViCPhynDgBvPgiT5rXXuM4uy1b2NNXrFh47EqXjoMgfviBBSg1ajBEroSOunX9N5hh6lTgppuAChVsW5Iygv2/DRpYNSMsDBwIREWxjzUQsG2Nu1i+nFOxjh3jQIYOHWxbFHk84YDnzGFIbvBgIFu2i3925gzw+ut0vEOGMCy8bh3DzpFq32jYkCHp6tXZxtS9u792bOHEb4MZDh9mONctu1+ADviWW4B8+WxbEnpy5GDYdMUKhlCVlPHVV7wu5sxJR1y3rm2L7OB6Bxwfz7vQ0qVZTBXk/HlKm5UuDfTrx4KdX35h+K5SpcjbGRXFnfDAgdx1167N8IuSNvLnZx7fL4IcwVqC3bvdU9y3axd37F4lqDO/fr1dO9yACHPn7dqxU2TZMg5W8Suud8Cff37xuMG4OODjj3lRfvJJOuBFizjLM+ayI5EjR4YMLPKaPZstDNWqaTN/KKhTxz+DGUqXZoX+hAnA2LG2rUkZ+fKx0MaLzJnDqt2GDZniUq5MXBylPJ99lhGc+fN5A+1nXO2Ag+MGo6P5gU6Zwt1t16486b/7js63fn3bll5M8+YMSZcrx1x0377+EyEPJXXqsLhu61bblkSGwYNZNfrkk8Dq1batSZ6CBYEjR2xbEXoWL+Z1p0oVYMYMVuUrl+fUKaBVKxa+9u/PXl99v1zugD/4gDvJunW5m+zQgbvMadMYbm7a1LkVdcWL8wR+6ik28zdoQHUjJfX4bTBD+vSM/OTPTwfgdNU1Lzrg334D7r6b5/G337L9Ubk8Bw5QT3/uXOD990M/HtbNuPZtOHmSalUA8PbbvMOaOJEnRps2znW8ScmUieLjU6awMCw6Gvj+e9tWuY/gYAa/OGCAEZ4vv+RNW5cuzq7ALViQA1KcbGNq2LGDN/c5cvB89XsY9WqsW8dK5x07mHp79FHbFjkL1zrgSZNYvl60KHfCmzdT8CLpoAS38K9/sY0mKgpo1owhRp0xnHL8OpihZk1qlc+axdY6p1KgAP+enb5TTwkHDzL8HxcHzJsH3HCDbYucy/ffMzopwiLJZs1sW+Q8XOuAW7Tgjnf7doqjZ8xo26K0UbYsy/G7dAGGDuUfq84YTjl+Hczw5JNMvTz3XKLestMICty4PQz955/c+f7xB+tLype3bZFz+egj4K67OH5y+XIOrFH+iWsdcOHC3PF6KZGfNSsruMeO5R1jdLR/2mvSil8HMxgDfPghb+A6dHCmLrEXHPDp07zp37YN+Ppr+x0VTiUQoPjQI48wUrB4ccp1+f2Iax2wl+nalXeNWbOyOOv11/3RYpMW/DyYIXt2ChucPs10htMq6gsU4KNbIzrnzwNt21JsY/Jk70lqhoqzZ4H77qMwyaOPMjWixWlXRx2wQ6lcmXnhNm0oJKIzhq9Olix0wn6NGFSsyJ3w0qUpG0YSSdy8A46Pp3rd3Ll8f9u0sW2RM4mNBW6/nQWlw4dzoEKGDLatcj7qgB1M0hnD33zDVis/aR6nhrg4oEQJvj9+lfns2JFCByNHJs4LdgJ58rA40m0OWIQ59ilTWOTWtatti5zJihVArVocijJlCjcMbuhCcQLqgB1O0hnDcXE6YzgpgQB3vE8+CRQpwt7YXLko0OJX3niDQz8eeoj5SieQLh3D0G5zwC+8wJ1c//5Ub1IuZtkyFovWrAkcP07N73/9y7ZV7kIdsEuoWfPiGcOdOvlzxrAI1Z/69eOOt149Fq3ddhsFWPbupcC7X8mcmf3BmTJRpOPMGdsWkQIF3JUDHj2a8rYPP8ycppLIkiUssKpdmxGn4cMTxwoqqUMdsIsIzhh++WUWg9SoAWzaZNuqyLBlC6dZlS/PUPyoUZywM3EiL+xffMH8nJeq4q+VG24APvuMGumPPeaMaImb1LAmTACefpoysX4aDp8cixZxA1CvHgU2RoygEmG/fiwEVFKPOmCXkS4dez5/+IF9idWr0wl5kb17mXuLjubs26FDGWr+4AOO5Zs9m61oOXLYttR5NG1KQZcJE1g8ZBu3OOBZs5jrbdyYKQ03CvuEEhH2lzdowK9Nm1hjsHs3NewvHf+qpA6tU3MpwRnDHToADzzAHPGbb7p/B3jkCEOokyYl9vTeeitDgu3asf9bSRnPP8883VNPMWpQrZo9W4IOWMS5O8qffmIOs2pVTinLnNm2RfYQ4bSioUN5bYmK4vXlkUeA666zbZ130B2wi4mK4kkyYIC7Zwz/73/AuHHMKxUuTIdx8iRHN+7cyZ7oXr3U+aaWdOkYHSlYkPlgmyMBCxRgdbpT6xbWrOFwhZIl2XHg16iKSKKEZJMmnOX8zjt87NlTnW+oUQfscjJkYJHIrFmJM4ZnzLBtVfKcPs08dqtWQKFCQLduDGsNGsTc5bp1wMCBQKlSti11N/nyAVOnciJN5872BiI4uRd4+3ZW8+bKReeTL59tiyKPCKc61arF9MW+fcB//8sb4CeecH9kzamoA/YILVqwOrhsWRYjPfOM8xSRzp0DZs5kv2qBAnxctYon+MqVvBC+9BJw0022LfUWNWqwaG3OHHsVvU51wAcOcKcX3Pn5TTZRhLUUt95K7ebDhzkycPt2FvD5OQwfCTQH7CFKlGC+5pln2A+6fDl3mTYvKnFxwI8/Mqc7bRrw11+s5n7gATrgevV0NmgkePxxqmS98AJb2ho3juzxneiAY2OBO+5gaH7hQo619AsijJoNHcpWopIlWazVyDK8AAAgAElEQVTXuTNb2JTIoA7YY2TOzPnIdeuyhzE6mtWcTZpEzoZAgM5/0iS2Bx09ypxa69Z0urff7v7pVW7DGNYJrF3Lz2DNGlaURwqn6UGfOgU0b84Q63ff2S1QiySBAIdJDB3Kv4Ubb2T9RadOek7aQPceHqV9e4Z3CxViTmfIkPDPGN67l3nbkiU5nejDD7nDnTqVO58JE4A779QT3RbBoQ1nzkR+aENwaL0TdsDnzrHH95dfKJ3YoIFti8JPIMDzMDqaaz99Ghg/nv31Dz2k56Qt1AF7mHLlqNPauTPw4ovhmTEswvaNtm1ZMPX668zhTpjAY02dyp9p9aQzqFCBymE//0wBhUiRMSNTD7YdcHw80x/z5vF9aNXKrj3hJj6eUajKldnGd+4c8Omn7Oft3FkHJthGHbDHCc4Y/uij0M4YPnuWr1u1KmUgf/yRerm7d7ON44EHdBSZU2nfnq1eo0ez5zpS2JajFGEu/MsvWSPx4IP2bAk38fFMAd18Mz/v+HimojZuZLhZHa8zUAfsA4xhm0/SGcMjRlybROHBgxR4uOEGKgZduMDc4r59wLBhQLFiITdfCQMjRrAYq2tXYOvWyBzTthrWv//Nv9VBg4A+fezZEU7i4ihDWqkSZ/OmS8dCzPXrmfv3u7KX01AH7CMqV2ZeuHVr7lbbtGFVckpYuZKyj8WLA6+8wov3Dz/wxH7kETp2xT1kysTQZJYsTBGcPh3+Y9p0wCNHUtile3dqqXuNuDimfSpWTCyo+vJL9tO3b6+O16moA/YZOXPyxBw9mn2hVateecbwhQsMY9WqxT7BWbM4+m/7dvbzNm7sXFlBJXmKFWNYctMmoEeP8A9tsOWAP/mEusXt2gHvvuutv9kLF5gKKl8e6NKF2szTprHC+d57tcXP6ejH40OMobRj0hnDY8YkXoCPHeMut0QJhrH++AN46y2KFowaxdYFxRs0acICvYkTKcAQTgoUAE6cYP1ApDh4kO14DRuy+MgrO8ELF1hEVq4c0wg5c1IBb/VqRrbU8boD/Zh8TM2aPGEbNaLqzS23cLhDsWLMl1WqRJWcrVtZtONXfVyv89xzbA/r1YutOeEiKMYRyUKsfPmAPHmA3Lm9oep0/jzz2GXK8MYib15GplatYkW3l3b3fiBZB2yMKWaMWWiM2WyM2WiM6ZXwfB5jzDxjzPaEx9zhN1cJNblz80QGqME8ZQrDzRs3AnPnUqxA76a9Tbp03B0WKsSwZWxseI5jQw0rUyZW5M+cyciOWzl3DnjvPaB0aeaxCxVit8HKlZShVcfrTlJyaY0D0FdEKgCoCeAJY0xFAAMAzBeRMgDmJ/xbcQl//cVWjNKledG94Qb2CWfMyLvp1attW6hEkrx52bN9+DAdVjiGNtiSo+zalamWTz+N7HFDwdmzzFuXLs0WqqJFqdy1bBmjFup43U2yDlhEDonI6oTvTwLYDKAIgFYAxif82ngArcNlpBI6tmzh8IOiRakZXawYL7w7d3Iayp49QEwML8Ldu0c2X6fYpXp1Fud9+y1rAEKNLTnKm25iVGfs2PAXmoWKv/9m3cWNN7LwsUQJiocsXUplO3W83iBVwUVjTAkA0QBWACgoIocAOmkABUJtnBIaAgFeVJs1oxLSRx+xInT16kQVq2BjfuHCnDHcv7+7ZwynlWPHODnIzWHLa6FHD7abDR5McZVQYnMgQ7durPZeuTLyx04t06dTVa5XL+Z6FyzgeXr77ep4vUaKHbAxJjuArwD0FpETqfh/jxpjVhljVh3z29XMMqdOMXxVsSJHjf32G0XY9+1j60J09OX/X4YMFNVw24zhUCHCvPigQYmFaH5h61Z+iQA7doT2ta+7joV8Nhxw+/bsVR83LvLHTi2zZzMV0L49pzQ1bKiO17OISLJfADICmAugT5LntgKISvg+CsDW5F6nWrVqooSfXbtE+vQRyZlTBBCpUUPks89Ezp1L/Wvt3i0SE8PX6dtX5Pz5kJvrOD77jOvt2VOkcmV+//DDIidO2LYsfMTHi7z5pkiWLCL58olMmxae49x4o0iHDuF57eTo0kUkRw6RU6fsHD+l/P033yNA5JFH/HHOeRkAq+RKvvVKP5BER2sATAAw+pLnXwcwIOH7AQBeS+611AGHj0BAZMECkVatRIwRyZCBJ/GyZWl/7bNnRZ54gn8tdeqI7NuX9td0KocPi+TJI1KzpkhcHNfevz/f01KlRJYssW1h6Nm3T+T22/n5Nm8ucuhQ+I5Vu7ZIo0bhe/2rsWgR1/jJJ3aOnxri40UGDaK9TZuKHD9u2yLlWkmrA64LQACsA7A24esuAHnB6uftCY95knstdcCh58wZkY8+ErnlFn6aefPyxN2/P/THmjxZJHt27pC+/z70r+8E2rYVyZxZZNOmi59fvFikZEmRdOlEBgy4tmiCE/n8c5FcuUSyZRP54APeyIWTNm1EbropvMe4EoGASOnSIvXr2zn+tfDRRyLp04vcfLO3b3y9TJoccCi/1AGHjv376Wjz5uWneMstImPH0iGHk82beQE1RmTIEO4SvcIXX/C9/M9/Lv/zEydEunXj71SpIrJ+fWTtCyWxsSLt23MttWuL7NgRmeP26MEbOFu8+irXvG2bPRtSy9y5DJ0XLiyyZo1ta5TUog7YIwQCIj//zAtnhgx0gq1biyxcGP6dS1JOnRLp3Jl/PU2aiBw9Grljh4ujR0Xy52e++8KFq//u11/zdzNlEnnjDYYL3cR33/FiniEDHVIkb6JeeIF/t8m9x+HiwAFGMQYOtHP8a2XdOpFixRiBmjPHtjVKalAH7HLOnROZOFGkenV+Yjlzsshq1y57NgUCIh9+yHBtkSLuz4126CCSMWPKd7VHjjDfDog0aCCyZ0947QsFp08n5vIrVhRZvTryNrz7Lo8fzjxzcrRoIRIVZe8m4Fo5cEAkOpo3EO+9Z9saJaWoA3YpR46IvPiiSKFC/KTKleMF7ORJ25YlsmYNK1vTpxcZMSKyO/FQMX0639+hQ1P3/wIBkXHjGB68/nqR8eOdu/4VK0TKluU6+/Rhpa0Npk6lDWvX2jm+CCu8AZHZs+3ZcK2cPMlCOUDk2WfdF33xI+qAXcbq1WyZyJSJn1CzZiLffuvck+2vv0TuuYe2tm4t8r//2bYo5cTG8ganSpVrb/fYtUukXj2u/557RI4dC62NaeH8eZHBg3mDVKwYK+Vtsngx36e5c+3ZcP68SIECLAhzIxcuiDz+ON/He+8Nf92HkjbUAbuACxe4OwheyLNl40m2ebNty1JGICAyahTziqVKifz6q22LUkbnzrQ5rcUtcXEir73Gm6aCBZ2xu9qyJbGHu3Nn3ijZZutW2vPpp3bt6NuXn/uRI3btuFYCAdYfGMOWOS/UYXiVqzlgnXNjmT//BF57jZqv995Llao33gD276eKVfnyti1MGcYAvXtTMu/8eUpYvv++s7V358wBJkwABg4EqlRJ22ulTw88+yzH+RUowAk13btTjSzSBALAO+9Q6Wz3bmp9jx/PmbG2sSlHmRQ3D2gAeL716cPPdu1ajhbdutW2VUqquZJnDseX7oAT2bhRpHt3keuuk/8v5Jk+3RttPceOUTwAELn/fmflrIP89ReLxypVCn1P79mzIv36cXdy440iS5eG9vWvxv79rEwHRO66S+TgwcgdOyUEAizce/ZZ25Zw51ihgnPz9ill2TJW5efOTbERxVlAd8DOIBCgzusdd3BCyyefAPfdR43mhQuB1q25k3I7+fJxVulLLwGTJgE1alAI30n07Uu93Y8/5szYUJI5MzB8OIcZxMcD9epx6P3586E9zqVMnkzt6qVLgTFj+LcWFRXeY6YWYxghsL0DBjigYfNmYMUK25akjZo1geXL+b42aQJ8/rlti5QUcyXPHI4vv+6Ajx+nzm7p0tyZFCki8sorzirWCRfz57PgJWtWtlI5gblz+TkMGBD+Yx0/LtK1K48XHS2yYUPojxEbm6gdXLOmyPbtoT9GKImJYWGhbY4f59/lww/btiQ0xMaK3HYb/w5eftn9O3uvAC3CssOOHSK9erFNBRCpVYtyjn4TVz9wILG4rHt3ey0wIlSzuuEGhh4jaceMGQwTZs4sMnJk6Crav/8+UVTj5Zfd0dvavDlvRpzAgw9S3MLpAxpSytmzTPsAvPHz27XGiagDjiCBgMi8eWz2N4biDvffL7JypW3L7HLhAocaACJVq4rs3GnHjh49KGQQiiEVqeXIEZGWLfkeNGwosnfvtb/W6dMiTz7J16pQwT1V5yJ0DIUL27aC/PQT38OPP7ZtSegIBESef57ruv12Z1S/+xl1wBHk66/5rubIwZPAaUUwtpk5k+L/OXOy6CySzJ8v/z9W0RaBAAX2s2eneMeECakPFa5cSVEWQKR3b/f1gQ4YwB27E/raAwGRMmUYofEaH3/M97lSpbTd7Clp42oOWIuwQkydOkBMDNtP8ud3XhGMbe6+G1i9GihTBmjTBnjmGeDChfAf99Qp4OGHgdKlgaFDw3+8K2EMi39++w245Ragc2egXTvgjz+S/78XLgAvvgjUqgWcPg388AMwahQH3buJggXZAvTXX7Yt4efRtSuweDGwbZtta0LLgw8C330H/P47cOutwK+/2rZIuRR1wCEmb15Wv7ZsCfTsCTz9NCthlURKlgSWLAEef5w9zw0bAgcOhPeYgwYBe/YA48YBWbOG91gpoVQp/p0MGwbMnAncfDPw7bdX/v1t24C6dYEhQ4COHYH164HGjSNlbWhxSi9wkC5d2H3w8ce2LQk9jRsDP//MSv/69VkZrziIK22Nw/HlhxB0kLg4hgcBivZ7pcgj1Hz+OVW/wjljOJjne+qp8Lx+Wlm7lmHCYJFa0r7pQEDknXfYL54nD0cmup1gKmDhQtuWJOLWAQ0p5dAhkWrVWP/wzju2rfEX0BywPd58k8VY1auLHD5s2xpnEs4Zw6dPs/2rZEln3wT9/bfIM8/wPShdmkViBw4kCpo0a8Z/e4H167mmyZNtW5JIcCDHrFm2LQkfp06J3H031/n0094Q/XEDV3PAGoIOMz17AjNmABs3smHeaYIUTqB8eYohdOrEEOuddwLHjoXmtV94AdixAxg7FsiWLTSvGQ6yZAFef52CLBcusJagQgXmJt97j8ImhQvbtjI0BEPQR4/atSMpzZtTyGLsWNuWhI9s2YDp03lNGjWKtQdnzti2yt+oA44ALVsCixYBf/9NjeSFC21b5DyyZaNe8QcfUE86OpqKTmlh+XJeaHr0YJ7ZDdx2G7BuHQuDqlcH1qyh/cbYtix05M3LnKtTcsAAkDEjC+Jmz3aWXaEmfXrgzTeB0aO5MWjY0NvrdTrqgCNETAx3eUWKAE2bcgiAcjHGAI88Aixbxh3hbbexSEuuYaDD2bPAQw8BRYty2IWbuP564MMPWeVctqxta0JPunTsEHDahd/tAxpSQ69ewLRpLOarWZOSnErkUQccQYoX566uXj1WXr74orOnBdkiOpotEy1bsk2pbdvUt6y8+CKwZQsdWY4c4bFTuXacogedlAoV2OI1dqw/zsvWrRmZO3OGkbkff7Rtkf9QBxxhcuViu8mDDzLf+eCD4RfpdyM5cwJffQWMHAnMmgVUq8ZwbEpYtYr51G7dOPhCcR4FCzorBxykWzfeuC1fbtuSyFC9OiNzUVE8VyZOtG2Rv1AHbIFMmdiPOnQoQ9HNmgH/+59tq5yHMeyjXrSINym1ajFHfLXdyblzDD0XKsTwteJMChZ03g4YAP71L9YjeLkY61JKlGBkrm5d4IEHeF3STUFkUAdsCWOA559nvmnJEla97tlj2ypnUrs2d78NGnDIfefOVIK6HK+8AmzYQEfthAH0yuUJhqCdFurNkYNO+PPP/aUclTs3VbM6dwYGD6ZYzY03cnPw1FPAW28xcrdjB/PkSmgwEsEzICYmRlatWhWx47mFRYsoy5gxI8OtNWrYtsiZBAJ0sIMHM183dSofg6xdy5DaffexolpxLq+9BvTvD5w8CWTPbtuaizl4kDd9p0/z5rhcOdsWRQ4RVkevXg1s3574dfJk4u9kyEA1uzJl/vl1ww3emGkeSowxv4pIzGV/pg7YGWzZAtx1F4fEf/45CySUyzN/Pp3s6dPc6d53H3tna9Tg+7dxI5Anj20rlasxfjzrH3bs4E7LaWzfzqjUddfRCRcrZtsie4gwX5/UIQe/duy4OBqVKRNlVi/nnIsWZQW837iaA84QaWOUy1O+PAs/WrYE7rmH/au9etm2ypk0bsyQdIcOwP33U6wib17ugGfMUOfrBpLqQTvRAZcpA8ydy7THHXfwbyxfPttW2cEYfl4FCzJPnBQR4NChyzvnefPYDhgkSxZ+1kGHXLp04veFC/vTOasDdhAFCgALFlARqndvYNcuVgFrSOefFC7M9+q55xL7fG+9FWjVyq5dSsooUICPTizEChIdzZRQ06aMTs2fry1tl2IMz8XChdm3n5RAgENWduy42DFv28Z88rlzib973XUXO+SkX4UKeUuIJikagnYg8fFAv350vu3aAV98Ydsi5xIXx9x5kBkz1Am7gQMHGJIcM4aFdU5m1izWaDRoAMyZA2TObNsi9xMfD+zff/md865dF48ozZ6dzrlcOeDll/m9m9AQtMtIn54tNBcuAG+/DRw/rhW9V2LECD4OH84bldatKd7x6qsXO2bFWbhhBxzk7rvZNtilC1MeU6ZoVCqtpE9PYaLixYHbb7/4Z3FxnGGc1Clv2cL3vUYNoE8fOzaHA3XADqZkSdsWOJvNm1kR3bYtIwY9e/LkHDGC+fTJkyn9qTiPjBmZq3eDAwbYnvPnn+xL79GDxX9eDYvaJkMGFnKVKsXwPwCcOOHNTYgP096KF4iPp3ZvjhzAu+/yuSxZgP/+F/jsMxZpRUdTT1lxJk6Uo7wavXsD//438NFHwMCBtq1RvIA6YMWVvPkmd7lvvZVYURvkvvuAX36h4P8dd1AXOj7ejp3KlXGqHOXVGDqUO+Dhwyl3qihpQR2w4jq2b2f1c8uWQMeOl/+dChWAlSsTZwzfdVfoZgwrocGpcpRXwxjgnXeA9u2Z9hg3zrZFiptRB6y4ijlzWLSRJQsraK+Wh0s6Y3jRotDMGFZCw969lAz9+2/blqSe9Omp4X7HHRyfOX26bYsUt6IOWHEFhw5Ro7dFC7YlfPcdJ7gkx6Uzhhs0YHuX0zSI/cTs2bwZ2r+fu0k3kikT5+nWqEFBmAULbFukuBF1wIqjCQS4061QAZg5k32Aa9ZQdCM1BGcM33030Lfvtc0YVtJGXBwwYAA/g+LFE2c+u5Vs2RiRKVOGvecqcaCkFnXAimPZuBGoVw947DGgalVg/XrmfjNlurbXC84YfuON1M8YVtLGgQNAo0YsXurenREJtwkqXI48eYDvv6dM5Z13sl9VUVKKOmDFcZw9y3aP6Ghg61bgk08oA1imTNpf2xj2Ci9aRCm8lMwYVtLGvHn8LFev5sD3MWOYDvAKhQtzjenSAU2aUERCUVKCOmDFUSxYANx8M8cOduzIHUWXLqEXPQjOGL7tNu7IunS58oxh5dqIj6dQStOm7Pn95RcqSXmR0qU5vOHECRZnacW9khLUASuO4I8/OJ6ucWPuRufNYwVzOCfQ5M8PfPMN+4QnTmReefPm8B3PTxw5Qsc7dCjwwAPAihUXz272IlWqsMBs716Go5PO0FWUy6EOWLGKCPDppxzH+NlnwKBBzPVeqg8bLtKnB154gXm8o0eB6tWBSZMic2yv8tNPiS1fY8cyhZAtm22rIkO9esCXX3I0ZqtWF4/jU5RLUQesWGPHDubMOncGypZlSPiVVziaLNLcfnuifOV99wGPP37xuDQleQIBYNgwoGFDtoqtWEG5UL9pJrdowZuOhQuZRomLs22R4lTUASsR5/x5Tiu6+WbmBd97D1iyBKhUya5dRYowB/3ss7SpTh1g9267NrmF2Fi2Fw0cyBGaq1YBt9xi2yp7dOpEudQZM1hjoEV+yuVQB6xElJ9/ZvvPc89xp7B5M7V10znkLzFjRuC114CvvwZ27mT708yZtq1yNsuXJw6+ePddhvCvv962Vfbp2ZPpjXHjgP79bVujOBGHXPYUr3P8OMO6devy+5kzmSsrXNi2ZZenZUu2zZQqxVxev34XDwlXuKsbNYp5zwwZeHP1+OP+CzlfjSFDgCee4OCG4cNtW6M4DXXASlgRAaZOZQXs++8DvXoBmzYxXOl0SpZkIVGPHryANmpEQQmFKmJt27KnunlzqlpVq2bbKudhDCd2dexIFbAPP7RtkeIkknXAxphxxpijxpgNSZ7LY4yZZ4zZnvCYO7xmKm7k99+5k2zXDihUiNOJRo1igY5byJKF+WCdMZzIr78yND9rFlXFpk8HcusV4IqkS8eirGbNeDP31Ve2LVKcQkp2wJ8AaHbJcwMAzBeRMgDmJ/xbUQBQgGH0aKBiRRY1vfEGna+bd0iXzhgeOpRVv35ChCpWtWszHL9oEXfAGnJOnkyZ6Hhr1uTfkt9v4hSSrAMWkZ8A/HnJ060AjE/4fjyA1iG2S3EpwUEJTz9NlamNG3mRzpDBtmVpJzhj+P77qfB0553+UTw6eZLrfuwxhuLXrKEjVlJO1qwU6ihXDmjdmn9Lir+51hxwQRE5BAAJjwVCZ5LiRk6d4pShmBiOmZsyhRebEiVsWxZasmXjLNj330+cMfzzz7atCi/r1/NznTKF7WNz5oRXoczL5M5NycoCBXgDp7rR/ibsRVjGmEeNMauMMauO+WW74DO++YY9vCNHcvbuli2c3evV0KQxwKOP0vFmzsydvldnDH/8MSMaJ05wIMbAgc5pGXMrhQrxxu34cR2J6Xeu9VQ6YoyJAoCEx6NX+kUR+UBEYkQkJn/+/Nd4OMWJHD4MtG/PKths2YDFi5kjzJXLtmWRoWpVFiS1aOG9GcNnzgAPPUQlq1q1KK3YoIFtq7zB228D06YxmuBnsRLl2h3wTABdEr7vAuDr0JijuIFAgCP8ypenYMVLLzEnWLeubcsiT65cvJh6acbwli3c9Y4fDzz/PHWyCxa0bZU3+Pln3qy1akXFNcXfpKQNaRKAZQDKGWP2G2O6ARgGoIkxZjuAJgn/VnzApk1A/fqU16taFVi3jrN7M2WybZk9gjOGf/zR/TOGJ03iQIrDh4Fvv2W1d/r0tq3yBkePMjVTvDjbkryaolFSTrK1qSLS8Qo/ahxiWxQHc/YsByUMHw7kyMHcYDjm9LqZOnW4++3UiTcoS5awh9gNk4DOnmXl+pgxXMfkyUDRorat8g7x8Ww/io0Fli3zT5pGuTpaTqEky8KFzFW9/DLQoQNDlA8+qM73crhxxvDOnWwpGjOGkpsLF6rzDTVDhrCI7d13OTdYUQB1wMpViI1lIU6jRsz7zpvHFhytpbs6wRnDc+c6f8bwtGlMJezZQ33u4cM5kEIJHd98w5vXrl35pShB1AEr/0AE+PRTFllNnMjWk/XrOTNXSTlNmjAkXaWK82YMnz/PkHPbthSGWL3aHfrcbmPPHqYkqlQB3nnHtjWK01AHrFzEzp2UWuzcGShdmhfmV18FrrvOtmXupEgRhnSfeYb54Lp17c8Y/v13FtKNHg089RRz1V4TTHEC585RBz0Q4EASPYeUS1EHrACgtu9//kNBjZUrmatauhS4+WbblrmfjBk5TWnGDGD79sRBBjaYM4ciEJs2AV98wUk9fq5gDye9ewOrVrGd68YbbVujOBF1wAqWLaNTGDSIohqbNzNcqopHoaVVK0YUSpbklKj+/YG4uMgcOy6OqYQWLYBixSgg0q5dZI7tRyZOTCxqa9XKtjXux6uDT/QS62OOH+ew8Dp1+P3MmQyVFS5s2zLvUqoUxRi6dwdee40FbgcPhveYBw8CjRsDw4ZRQnPZMqBMmfAe089s2MD3+bbb2LqnpJ2JE/lYsaJdO0KNOmAfIsLRaBUq8C69Z09OLdIinMiQJQvf94kTuRONjmaLSjj44QcWAK1axcK699/XXGQ4OXGChW05c7KX2gtTwGwTG8uugsaNgaZNbVsTWtQB+4x9+xgSu/deyguuWMFinBw5bFvmP+6/nzOG8+ZlxfRLL4Uu1BYfz17kO+5g29gvv7AaVwkfImwz2rmTk6MKFbJtkTcYPJgRutGjvac9oA7YJ8THA2++yV3v/PnAiBG8KMfE2LbM31SsyKK3++7jXf5ddwF//JG21zx6FGjWjOIPnTrx9b0WunMio0czsjRsGKvMlbSzYQO7Bx57jAWiXkMdsA9YswaoWZNVmfXrM9zct6+Gx5xC9uwMD48Zw5al6Gjmaa+FxYsZcl6yBPjwQ1bgukEK0+0sXcqCqzZteG4paUeE16ycORnN8SLqgD3M6dPsP61enaHnyZPZhqI9n87DGBZmLVvGtqX69YFRo1I+0CEQoIpVw4Z06MuXAw8/7L2QnRMJDlkoUYIa6fqeh4aZMxmtGzqUaRovog7Yo3z7LXDTTRyT160bW4vat9eLg9OpWpWtSi1acMLSvfcy/3U1YmPZ1jRgAHDPPSy4qlw5Mvb6nfh4oGNH4M8/2UGQM6dti7zBuXP8+69YEejRw7Y14UMdsMc4fJgDE+66C8ialSHJ998Hcue2bZmSUoIzhkeM4LzlatWAtWsv/7srVtBpf/89pQ6nTAGuvz6y9vqZF14AFixgnlJvekLH6NHArl189HKqTB2wRwgEOIO2QgVg+nSGbdasofSh4j6MYS5x0SKOCqxZkzndYEhahEV19epRMGXpUvZ0a4QjcsyeTZnWhx/mdDAlNBw6xOEVLVuyO8DLqAP2AJs3s+m/e3cW4KxfDzz/PJA5s23LlLQSnDFcvz7FHbp0obDGvfeyQOXOOxmyrl7dtqX+Yvdu4IEHWDD39tu2rfEWgwYxBFsOrg0AAAhLSURBVP3GG7YtCT/qgF3M2bMMgVWuTG3fjz9mOKxsWduWKaEkf37m9IcMoXhHsWIMTY8YQX1pTS9ElrNneQMEMO+bJYtde7zEL78An3zCSV2lS9u2Jvx4OLrubX78kTvebdvY6zlypM7p9TLp01OQoHZt7gyef567YyXy9OrFqMPMmZQWVUKDCN/bggWB556zbU1kUAfsMmJjgWef5W63VCkW33g9T6Ik0qSJft42GT+etRYDBqh0a6iZNIlteGPH+qeQUEPQLkGE4cfy5SnaMGAAc716MVaUyLBuHVtiGjakbKgSOk6fppBJtWr+KmjTHbAL2LmTDnfePFbDfvCBzulVlEhy/DiHLOTOzZ2al1tjbDB8OHDgANvo/DQGVf+MXEDNmpxg8+67zPumT2/bIkXxD8EhC7t3Uyq0YEHbFqWNM2fY6vP33yx0sl1Etncv8PrrFDTxW12DOmAHE1TVuftu4K23gCJF7NqjKH5k5MhEYZR69Wxbc3lEWB9y+DCd66FDl//+8GGOTAySPj1nQ1eqxKhapUr8uvHGyN3o9+vH/vXhwyNzPCehDtjBdOrEqtfy5W1boij+ZPFioH9/Snz26RP5458/T6eZ1IFezsEeOQJcuPDP/589OxAVxdGIVaokfh8VRZ2ATZs4cWjtWk5yCgq9ZMlCGcigQw465yJFQiv28tNPwBdfsMWuWLHQva5bMJJStfcQEBMTI6tWrYrY8RRFUa6Vw4cp85k9O/tTQ6XzLMJd6JV2qEmfi4395/83hi2HSZ1p8PHS57JnT7ldZ85Q1Gf9ejrlDRv4/cGDib+TK1eiU07qmPPkSf37EB/PcaixscCWLZTO9SLGmF9F5LKDX3UHrCiKcglxccxJ/vUXMHduypxvfDxw7FjyIeBg/vVSMmdOdJxly1Ld7nIONn9+TswKNVmzsgq5WrWLn//zT44wDTrm9es5We2vvxJ/Jyrqn2HsihWvPgpz3DjuvCdP9q7zTQ7dASuKolzCwIHAsGHs+23XLmVO9ehRarJfSu7cl9+hXrpbzZXLPVreItwZX7pb3rSJSmEA11Kq1D8dc9my3G2XKQOUK8cwtFvWfS1cbQesDlhRFCUJCxYAjRvz++uvv7hoKUj69HSaVwsBR0WxYtp2lXEkiY/nFKNLHfP27fwZwN17vny8cVm1imF+L6MhaEVRlBSSLh3FNvLlu/KuNV8+f/WrppRgVXWZMixcC3L2LLB168WOuXZt7zvf5NAdsKIoiqKEiavtgPUeTlEURVEsoA5YURRFUSygDlhRFEVRLKAOWFEURVEsoA5YURRFUSygDlhRFEVRLKAOWFEURVEsoA5YURRFUSygDlhRFEVRLKAOWFEURVEsoA5YURRFUSygDlhRFEVRLKAOWFEURVEsoA5YURRFUSygDlhRFEVRLKAOWFEURVEsoA5YURRFUSygDlhRFEVRLGBEJHIHM+YYgL0RO2DoyAfgD9tGWELX7l/8vH4/rx3w9/pDvfbiIpL/cj+IqAN2K8aYVSISY9sOG+ja/bl2wN/r9/PaAX+vP5Jr1xC0oiiKolhAHbCiKIqiWEAdcMr4wLYBFtG1+xc/r9/Pawf8vf6IrV1zwIqiKIpiAd0BK4qiKIoF1AEnwRgzzhhz1BizIclzeYwx84wx2xMec9u0MVwYY4oZYxYaYzYbYzYaY3olPO+X9Wcxxqw0xvyWsP4XE573xfoBwBiT3hizxhgzO+Hfflr7HmPMemPMWmPMqoTnfLF+Y0wuY8xUY8yWhPO/lh/Wbowpl/B5B79OGGN6R3Lt6oAv5hMAzS55bgCA+SJSBsD8hH97kTgAfUWkAoCaAJ4wxlSEf9Z/DkAjEakMoAqAZsaYmvDP+gGgF4DNSf7tp7UDQEMRqZKkBcUv638TwHciUh5AZfBvwPNrF5GtCZ93FQDVAJwBMB2RXLuI6FeSLwAlAGxI8u+tAKISvo8CsNW2jRF6H74G0MSP6weQFcBqALf6Zf0AiiZcbBoBmJ3wnC/WnrC+PQDyXfKc59cP4HoAu5FQD+SntV+y3jsALI302nUHnDwFReQQACQ8FrBsT9gxxpQAEA1gBXy0/oQQ7FoARwHMExE/rX80gH4AAkme88vaAUAAfG+M+dUY82jCc35YfykAxwB8nJB++MgYkw3+WHtSOgCYlPB9xNauDli5CGNMdgBfAegtIids2xNJRCReGI4qCqCGMaaSbZsigTGmBYCjIvKrbVssUkdEqgK4E0y/1LdtUITIAKAqgPdEJBrAaXgw3Hw1jDGZALQE8GWkj60OOHmOGGOiACDh8ahle8KGMSYj6Hw/E5FpCU/7Zv1BROQvAD+C9QB+WH8dAC2NMXsATAbQyBgzEf5YOwBARA4mPB4F84A14I/17wewPyHaAwBTQYfsh7UHuRPAahE5kvDviK1dHXDyzATQJeH7LmBu1HMYYwyAsQA2i8jIJD/yy/rzG2NyJXx/HYDbAWyBD9YvIgNFpKiIlABDcQtEpBN8sHYAMMZkM8bkCH4P5gM3wAfrF5HDAPYZY8olPNUYwCb4YO1J6IjE8DMQwbWrEEcSjDGTADQAp2EcATAYwAwAXwC4AcDvANqJyJ+2bAwXxpi6ABYDWI/EPOAgMA/sh/XfAmA8gPTgjekXIjLUGJMXPlh/EGNMAwDPiEgLv6zdGFMK3PUCDMl+LiKv+Gj9VQB8BCATgF0AHkLCOQDvrz0rgH0ASonI8YTnIva5qwNWFEVRFAtoCFpRFEVRLKAOWFEURVEsoA5YURRFUSygDlhRFEVRLKAOWFEURVEsoA5YURRFUSygDlhRFEVRLKAOWFEURVEs8H9ya4Owqc2PTAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "best solution with len 601.0 \n", + "with a total time of 0.05389 seconds\n" + ] + } + ], + "source": [ + "available_solvers = {\"random\": random_method,\n", + " \"nn\": nn,\n", + " \"best_nn\": best_nn}\n", + "\n", + "solver = TSPSolver(\"best_nn\", p_inst, available_solvers)\n", + "start = t()\n", + "solver.compute_solution(return_value=False, verbose=True)\n", + "end = t()\n", + "\n", + "solver.plot_solution()\n", + "print(f\"best solution with len {solver.found_length} \\nwith a total time of {np.round(end - start, 5)} seconds\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "uXtOOk25XXpR" + }, + "source": [ + "### Multi Fragment" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "id": "1oo-Zv7vXdTq" + }, + "outputs": [], + "source": [ + "def check_if_edge_available(n1, n2, sol):\n", + " return (len(sol[str(n1)]) < 2) and (len(sol[str(n2)]) < 2)\n", + "\n", + "def check_if_not_close(edge_to_append, sol):\n", + " n1, n2 = edge_to_append\n", + " from_city = n2\n", + " if len(sol[str(from_city)]) == 0:\n", + " return True\n", + " partial_tour = [from_city]\n", + " iter_num = 0\n", + " while True:\n", + " if len(sol[str(from_city)]) == 1:\n", + " if from_city == n1:\n", + " return_value = False\n", + " break\n", + " elif iter_num > 1:\n", + " return_value = True\n", + " break\n", + " else:\n", + " from_city = sol[str(from_city)][0]\n", + " partial_tour.append(from_city)\n", + " iter_num += 1\n", + " else:\n", + " for node_connected in sol[str(from_city)]:\n", + " if node_connected not in partial_tour:\n", + " from_city = node_connected\n", + " partial_tour.append(node_connected)\n", + " iter_num +=1\n", + " return return_value\n", + "\n", + "def create_solution(start_sol, sol):\n", + " assert len(start_sol)==2, \"too many cities with just one link\"\n", + " n1, n2 = start_sol\n", + " from_city = n2\n", + " sol_list = [n1, n2]\n", + " iter_num = 0\n", + " while iter_num <300:\n", + " for node_connected in sol[str(from_city)]:\n", + " iter_num += 1\n", + " if node_connected not in sol_list:\n", + " from_city = node_connected\n", + " sol_list.append(node_connected)\n", + " sol_list.append(n1)\n", + " return sol_list\n", + "\n", + "def mf(instance):\n", + " mat = np.copy(instance.dist_matrix)\n", + " mat = np.triu(mat)\n", + " mat[mat == 0] = 100000\n", + " # TODO\n", + " \n", + " #[...]\n", + " return create_solution(start_list, solution)\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 516 + }, + "id": "-iTyocncXg0d", + "outputId": "9a48f544-d4ef-4f57-f786-789006ca5432" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "### solving with ['multi_fragment'] ####\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "best solution with len 600.0 \n", + "with a total time of 0.00597 seconds\n" + ] + } + ], + "source": [ + "available_solvers = {\"random\": random_method,\n", + " \"nn\":nn,\n", + " \"best_nn\":best_nn,\n", + " \"multi_fragment\": mf\n", + " }\n", + "\n", + "solver = TSPSolver(\"multi_fragment\", p_inst, available_solvers)\n", + "start = t()\n", + "solver.compute_solution(return_value=False, verbose=True)\n", + "end = t()\n", + "\n", + "solver.plot_solution()\n", + "print(f\"best solution with len {solver.found_length} \\nwith a total time of {np.round(end - start, 5)} seconds\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "lp9RXLX9Ye1M" + }, + "source": [ + "### Comparison Constructive methods" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 239 + }, + "id": "jZ4R8UZgYed7", + "outputId": "28475799-f823-42e9-91ad-b9c3ed029bdd", + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 4/4 [00:01<00:00, 2.94it/s, using multi_fragment for d198] \n" + ] + } + ], + "source": [ + "from time import time as t\n", + "import pandas as pd\n", + "from tqdm import tqdm\n", + "\n", + "available_solvers = {\"random\": random_method,\n", + " \"nn\":nn,\n", + " \"best_nn\":best_nn,\n", + " \"multi_fragment\": mf\n", + " }\n", + "\n", + "show_plots = False\n", + "verbose = False\n", + "problems = [\"../problems/eil76.tsp\", \"../problems/kroA100.tsp\", \"../problems/ch130.tsp\", \"../problems/d198.tsp\"]\n", + "methods = available_solvers.keys()\n", + "results = []\n", + "index = []\n", + "with tqdm(problems) as tq:\n", + " for filename in tq:\n", + " p_inst = ProblemInstance(filename)\n", + " if verbose:\n", + " print(\"\\n\\n#############################\")\n", + " p_inst.print_info()\n", + " if show_plots:\n", + " p_inst.plot_data()\n", + "\n", + " for method in methods:\n", + " tq.set_postfix_str(f\"using {method} for {p_inst.name}\")\n", + " solver = TSPSolver(method, p_inst, available_solvers)\n", + " start = t()\n", + " solver.compute_solution(return_value=False, verbose=verbose)\n", + " end = t()\n", + " if verbose: \n", + " print(f\"the total length for the solution found is {solver.found_length}\",\n", + " f\"while the optimal length is {p_inst.best_sol}\",\n", + " f\"the gap is {solver.gap} %\",\n", + " f\"the solution is found in {np.round(end - start, 5)} seconds\",sep=\"\\n\")\n", + " index.append((filename[12:], method))\n", + " results.append([solver.found_length, p_inst.best_sol, solver.gap, end - start])\n", + "\n", + " if show_plots:\n", + " solver.plot_solution()\n", + "\n", + " if p_inst.exist_opt and show_plots:\n", + " solver = TSPSolver(\"optimal\", p_inst)\n", + " solver.solved = True\n", + " solver.solution = np.concatenate([p_inst.optimal_tour, [p_inst.optimal_tour[0]]])\n", + " solver.plot_solution()\n" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "id": "v8iJZ1QtY6WM" + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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tour lengthoptimal solutiongaptime to solve
problemmethod
eil76.tsprandom2616.0538.0386.250.000970
nn680.0538.026.390.000997
best_nn601.0538.011.710.049906
multi_fragment600.0538.011.520.005983
kroA100.tsprandom163891.021282.0670.090.001030
nn27807.021282.030.660.001961
best_nn24815.021282.016.600.101760
multi_fragment24287.021282.014.120.007005
ch130.tsprandom44209.06110.0623.550.001029
nn7578.06110.024.030.002980
best_nn6880.06110.012.600.206479
multi_fragment7849.06110.028.460.017952
d198.tsprandom188837.015780.01096.690.001047
nn18975.015780.020.250.005039
best_nn17565.015780.011.310.694035
multi_fragment17111.015780.08.430.065004
\n", + "
" + ], + "text/plain": [ + " tour length optimal solution gap \\\n", + "problem method \n", + "eil76.tsp random 2616.0 538.0 386.25 \n", + " nn 680.0 538.0 26.39 \n", + " best_nn 601.0 538.0 11.71 \n", + " multi_fragment 600.0 538.0 11.52 \n", + "kroA100.tsp random 163891.0 21282.0 670.09 \n", + " nn 27807.0 21282.0 30.66 \n", + " best_nn 24815.0 21282.0 16.60 \n", + " multi_fragment 24287.0 21282.0 14.12 \n", + "ch130.tsp random 44209.0 6110.0 623.55 \n", + " nn 7578.0 6110.0 24.03 \n", + " best_nn 6880.0 6110.0 12.60 \n", + " multi_fragment 7849.0 6110.0 28.46 \n", + "d198.tsp random 188837.0 15780.0 1096.69 \n", + " nn 18975.0 15780.0 20.25 \n", + " best_nn 17565.0 15780.0 11.31 \n", + " multi_fragment 17111.0 15780.0 8.43 \n", + "\n", + " time to solve \n", + "problem method \n", + "eil76.tsp random 0.000970 \n", + " nn 0.000997 \n", + " best_nn 0.049906 \n", + " multi_fragment 0.005983 \n", + "kroA100.tsp random 0.001030 \n", + " nn 0.001961 \n", + " best_nn 0.101760 \n", + " multi_fragment 0.007005 \n", + "ch130.tsp random 0.001029 \n", + " nn 0.002980 \n", + " best_nn 0.206479 \n", + " multi_fragment 0.017952 \n", + "d198.tsp random 0.001047 \n", + " nn 0.005039 \n", + " best_nn 0.694035 \n", + " multi_fragment 0.065004 " + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "index = pd.MultiIndex.from_tuples(index, names=['problem', 'method'])\n", + "\n", + "df = pd.DataFrame(results, index=index, columns=[\"tour length\", \"optimal solution\", \"gap\", \"time to solve\"])\n", + "df" ] } ], "metadata": { "kernelspec": { - "name": "pycharm-61970693", + "display_name": "PyCharm (AI2020BsC)", "language": "python", - "display_name": "PyCharm (AI2020BsC)" + "name": "pycharm-61970693" }, "language_info": { "codemirror_mode": { @@ -34,4 +867,4 @@ }, "nbformat": 4, "nbformat_minor": 1 -} \ No newline at end of file +} diff --git a/src/TSP_solver.py b/src/TSP_solver.py index 1305233..b6d6159 100644 --- a/src/TSP_solver.py +++ b/src/TSP_solver.py @@ -52,10 +52,17 @@ class TSPSolver: print(f"### solving with {self.algorithms} ####") start_time = t() self.solution = self.available_solvers[self.algorithms[0]](self.problem_instance) - assert self.check_if_solution_is_valid(), "Error the solution is not valid" + if self.check_if_solution_is_valid(): + print(f"Error the solution of {self.algorithm_name} for problem {self.problem_instance.name} is not valid") + if return_value: + return False for i in range(1, len(self.algorithms)): - self.solution = self.available_improvers[self.algorithms[i]](self.solution, self.problem_instance) - assert self.check_if_solution_is_valid(), "Error the solution is not valid" + improver = self.algorithms[i] + self.solution = self.available_improvers[improver](self.solution, self.problem_instance) + if self.check_if_solution_is_valid(): + print(f"Error the solution of {self.algorithm_name} with {improver} for problem {self.problem_instance.name} is not valid") + if return_value: + return False end_time = t() self.duration = np.around(end_time - start_time, 3) @@ -75,17 +82,17 @@ class TSPSolver: plt.show() def check_if_solution_is_valid(self): - # rights_values = np.sum( - # [self.check_validation(i, solution[:-1]) for i in np.arange(self.problem_instance.nPoints)]) rights_values = np.sum( - [1 if np.sum(self.solution[:-1] == i) == 1 else 0 for i in np.arange(self.problem_instance.nPoints)]) - return rights_values == self.problem_instance.nPoints + [self.check_validation(i, self.solution[:-1]) for i in np.arange(self.problem_instance.nPoints)]) + # rights_values = np.sum( + # [1 if np.sum(self.solution[:-1] == i) == 1 else 0 for i in np.arange(self.problem_instance.nPoints)]) + # return rights_values == self.problem_instance.nPoints - # def check_validation(self, node, solution): - # if np.sum(solution == node) == 1: - # return 1 - # else: - # return 0 + def check_validation(self, node, solution): + if np.sum(solution == node) == 1: + return 1 + else: + return 0 def evaluate_solution(self, return_value=False): total_length = 0 diff --git a/src/utils.py b/src/utils.py index e6b90f8..a96e8d9 100644 --- a/src/utils.py +++ b/src/utils.py @@ -12,7 +12,7 @@ def compute_length(solution, dist_matrix): def distance_euc(point_i, point_j): - rounding=0 + rounding = 0 x_i, y_i = point_i[0], point_i[1] x_j, y_j = point_j[0], point_j[1] distance = np.sqrt((x_i - x_j) ** 2 + (y_i - y_j) ** 2)