diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 0000000..e5a6938 Binary files /dev/null and b/.DS_Store differ diff --git a/src/TP1.ipynb b/src/TP1.ipynb deleted file mode 100644 index ca7b2fc..0000000 --- a/src/TP1.ipynb +++ /dev/null @@ -1,652 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 13, - "id": "2e75790b", - "metadata": {}, - "outputs": [], - "source": [ - "# Pour masquer les logs DEBUG globalement et de jMetal\n", - "import logging\n", - "logging.basicConfig(level=logging.WARNING)\n", - "logging.getLogger().setLevel(logging.WARNING)\n", - "logging.getLogger('jmetal').setLevel(logging.WARNING)\n", - "logging.getLogger('jmetal.core.algorithm').setLevel(logging.WARNING)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "d8ef1ff3", - "metadata": {}, - "outputs": [], - "source": [ - "from time import perf_counter\n", - "import argparse\n", - "import csv\n", - "import random\n", - "import statistics\n", - "from typing import Dict, Any, List, Tuple\n", - "import matplotlib.pyplot as plt\n", - "\n", - "from jmetal.algorithm.singleobjective.genetic_algorithm import GeneticAlgorithm\n", - "from jmetal.algorithm.singleobjective.local_search import LocalSearch\n", - "from jmetal.operator.mutation import BitFlipMutation\n", - "from jmetal.operator.crossover import SPXCrossover\n", - "from jmetal.problem import OneMax\n", - "from jmetal.util.observer import PrintObjectivesObserver\n", - "from jmetal.util.solution import print_function_values_to_file, print_variables_to_file\n", - "from jmetal.util.termination_criterion import StoppingByEvaluations\n" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "b9365749", - "metadata": {}, - "outputs": [], - "source": [ - "# Parameterized runner for LocalSearch and experiment harness\n", - "from time import perf_counter\n", - "from typing import Dict, Any, List, Tuple\n", - "\n", - "\n", - "def run_local_search(number_of_bits: int = 512,\n", - " max_evaluations: int = 5000,\n", - " mutation_prob: float = None,\n", - " output_prefix: str = 'LS',\n", - " verbose: bool = False) -> Tuple[Dict[str, Any], Any]:\n", - " \n", - " problem = OneMax(number_of_bits=number_of_bits)\n", - " if mutation_prob is None:\n", - " mutation_prob = 1.0 / problem.total_number_of_bits()\n", - "\n", - " algorithm = LocalSearch(\n", - " problem=problem,\n", - " mutation=BitFlipMutation(probability=mutation_prob),\n", - " termination_criterion=StoppingByEvaluations(max_evaluations=max_evaluations),\n", - " )\n", - "\n", - " \n", - "\n", - " start = perf_counter()\n", - " algorithm.run()\n", - " total_time = perf_counter() - start\n", - "\n", - " result = algorithm.solutions[0]\n", - "\n", - "\n", - " result_dict = {\n", - " \"bits\": number_of_bits,\n", - " \"max_evaluations\": max_evaluations,\n", - " \"mutation_prob\": mutation_prob,\n", - " \"solution\": result.get_binary_string(),\n", - " \"fitness\": result.objectives[0],\n", - " \"computing_time\": total_time,\n", - " }\n", - "\n", - " return result_dict, algorithm\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "6b0adc0a", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{'bits': 512,\n", - " 'max_evaluations': 5000,\n", - " 'mutation_prob': 0.7,\n", - " 'solution': '11010100110100100011100011110011000111010010111111111100011011011111111101111100101111010110010111111001110101100110101111010011011110010000100011011011101001010011000111111110000111011010111100100110111111100100011011101110100011011100101001011010000001011111111000100110110110100101111010111010000110101010100101110011011101101111001000011001110010010111111000111010101111010101000100000011100010001011000011001111110111110110100100110001011001011110110000101111100110101001001111000111110110101101011000000000',\n", - " 'fitness': -287.0,\n", - " 'computing_time': 0.7975228000000243}" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "\n", - "# Modify these parameters as needed before running the cell\n", - "number_of_bits = 512\n", - "max_evaluations = 5000\n", - "mutation_prob = 0.7 # None uses 1/number_of_bits\n", - "output_prefix = 'LS_notebook1'\n", - "\n", - "res, algorithm = run_local_search(number_of_bits=number_of_bits,\n", - " max_evaluations=max_evaluations,\n", - " mutation_prob=mutation_prob,\n", - " output_prefix=output_prefix,\n", - " verbose=False\n", - " )\n", - "\n", - "# Results are available in `res` (no informational logs printed)\n", - "res" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "279a052d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", 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", 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i5bW3hYI6j21B3quS1CkBnyRPyvNJK6H8ajcn710JOGTIq/wdMiRV3t8tWrRQrSlSrzKMV85lmc3ZUjeIBMryOsnrKeeEtBJJXVki3YpyLksSvQyR1oe6yvvG0rwmBfn5lh1ry338+HH1XpH3jLzm//vf/1RyuZyrLsXo4TlkvyG6um+++cYUERGhhtoWKVJEDft74403TOfOnUvbR4bHyXCzjOR4clxz+jC0jz/+ON0QtkKFCpmOHj2qhmLKELxSpUqp4WbmwzLnzZun7pehajK0rUKFCmrIXlRUVI5/nwxte/LJJ9Xwt+DgYHV9+/btmYbwCSmHDHuToZ0+Pj6msmXLmu6//371/DmRIZPyt9WsWVOVUYY5dunSxbR169a0ff744w9TvXr1TP7+/qbw8HDTRx99lDZsVOonqyG6+rDFd955Rw2PlbJJGR9++GFVZp0M+ZMhqVKPxYoVU3W0Z8+ePA3R1UldPfjgg2p4ogwnldf80UcfNUVGRmY7xFbIc2b82yzJ6vH6kFypU/mb5dwYMmSI6erVq+n2kbqqU6dOpsfK+ZVxCGdu6lGGnMu5L6+j+ZBTS/UmQ1bHjh2bdrzy5curIa3mQ0mze69Yeq2NOo8tvUfNh3/LsFpLr++WLVvStsn79s033zSFhISo81CGeB85ciTTEF0xffp0NTzdy8sr3XDddevWme6++2712VOmTBn1uaMP/Tcf0hsTE2Pq27evqWjRouo+/bW2NERXrFixwtSyZUt1XKnH7t27m/bt25dun/yey+Zy+/mWVb3npdz79u1T57N8ZstnwNChQ023b982uRoP+cfoQIicnww9k0mlLDX3ExE5M36+2Q9zQoiIiMgQzAkhIiK3JDkskpuRHZkrhuyHQQgREbklWXMop/mJmLFgX8wJISIitySr2547dy7bfYyap8VdMAghIiIiQzAxlYiIiAzBnBALZHIqaaIrUqSIy87XT0REZA+SRyOrJstioOYrZ1vCIMQCCUAyrjJJREREuXf69Gk1M3Z2GIRYIC0gegVau2x5VmShLVkjQJ86nVinjobnKOvU0fEcdY46vXHjhvohr3+XZodBiAV6F4wEILYMQmRBLTkegxDbYJ3aFuvT9linrE93Pkc9cpHOwMRUIiIiMgSDECIiIjIEgxAiIiIyBIMQIiIiMgSDECIiIjIEgxAiIiIyBIfo2tOtU0D8Je16UhKCk48CV7cD3qnV7hcCFKpg1yIQERE5KgYh9gxA/qwBpMSpmzL6uq1cWWG2j6c/0P0gAxEiInJL7I6xF2kBSQ1AsiT36y0lREREboZBCBERERmCQQgREREZgkEIERERGYJBCBERERmCQQgREREZgkN0iYjcfR4jSziPERUABiH2Im9gmQcku2G6cr/sR0Rk4DxGFnEeIyoADELsRWZClYnIUn9pJCYlYcu/i9E8fiw8ZEPbv4Hg2pyojIgcex4jzupMdsQgxJ7kzau/gRMTEe0dBVPh5vC4vAGIOQqUuc+uT09EROTImJhawExle2pXTi8o6KcmIiJyKAxCCliKHoRcXA3EXy7opyciInIYDEIKWuEqQNF6gCkZOPtXgT89ERGRo2AQYoTyD2r/n55vyNMTERE5AgYhRgYhUUuBxBhDikBERGQ0BiFGCL5L65ZJiQeilhhSBCJyY/o8RtnhPEZUABiEGMHDg10y+Zlk6co27XJ1O4KTj6r/07bJ/USUu3mMytyv3Q7vB1Tqr10v2x24b6t2P+cIITszPAiZOnUqwsPD4e/vj2bNmmHz5s3Z7j9lyhTUqFEDAQEBKF++PIYNG4a4uLh8HdPQLhlJTk2ON7o0zjXL45IIdfFZ0Qxt415V/+vb1P0MRIhyFlgOuLJFu165P1Cxj3b92i6geCMGIOT6QcicOXMwfPhwjBkzBtu2bUP9+vXRuXNnXLx40eL+P//8M9566y21//79+/Hdd9+pY7z99tt5PqZhSjQFAkoDSTeBCyuNLo3rzfJIRNmTYCPuAuBdCCjZEghtBXh4A7dOAjHHWXvk+kHI5MmTMXjwYAwYMAC1a9fGtGnTEBgYiBkzZljcf/369WjZsiX69u2rWjo6deqEPn36pGvpsPaYhvHwBMo9oF3nKBkiKmjnUvPRSrUDvPy0YCSkmbaNP4zI1adtT0hIwNatWzFixIi0bZ6enujQoQM2bNhg8TEtWrTA//73PxV0NG3aFMeOHcPixYvx5JNP5vmYIj4+Xl10N27cUP8nJiaqiy3oxzE/nkfp7vA+/CVMZ35HUsPPAQ8vmzyXy0pKgk8udpN1emSafMr/OUquW6de5/5Wv0KTQzsgJbV8niFt4BW9DilRkUiu0A+OxpHr01kl2qFOrTmWYUHIpUuXkJycjFKlSqXbLrcPHDhg8THSAiKPa9WqFUwmE5KSkvDcc8+ldcfk5Zjigw8+wNixYzNtX7ZsmWpFsaXly5enXfcwJeE+FIZvfDQ2/TUZl73q2PS5XI0kobbNxX7r1q7Fda+oAiiRazI/R8k169TbFIsusevU9ZUHfBF7aLG6HpIcgJbyg+70Eiy9tEhLondAjlafrmC5Des0NjbWNRewW716NSZMmIAvv/xSJZweOXIEL7/8Mt577z2MGjUqz8eVlhPJIzFvCZGkV+nuCQoKsllkKC9yx44d4eNz5/e81+YHgJM/onn580hp8LpNnstlySiYFTnv1rJ50zvNypTvc5Rcr049zv4Oz/XJMBWuirZdBt65I7kdTAvHwz/lKrreUxUoUgOOxFHr05kl2qFO9d4Ehw5CQkJC4OXlhQsXLqTbLrfDwsIsPkYCDel6GTRokLpdt25d3Lp1C8888wzeeeedPB1T+Pn5qUtG8oLY+kTPdMyKD6kgxOvs7/Bq/KnD/vJwCN65O119tjwFtJoDFI+we5FckT3Oe3fncHV6MVL951HmvvTlkuslWwAXVsHn8r9A8bvgiByuPl2Ajw3r1JrjGJaY6uvri4iICERGam8GkZKSom43b948yyYeyfEwJ0GHkO6ZvBzTcGGdAK9AIPYUcHWb0aVxDTFHgaXNgJ2jgOQEo0tD5FhMpjuTJJa+L/P9kqgqLqwq2HKRWzJ0dIx0gUyfPh2zZs1SQ26HDBmiWjZkZIvo169fuiTT7t2746uvvsLs2bNx/Phx1YQkrSOyXQ9Gcjqmw/EOAMp01a5zlEwuZnn0zX4fTz+gTDdtgcC944GljbVJzIhIc/MQcOuE9l4qZSHLqtS9d4IQUwprjezK0JyQ3r17Izo6GqNHj8b58+fRoEEDLFmyJC2x9NSpU+laPkaOHAkPDw/1/9mzZ1GyZEkVgLz//vu5PqZDKv8AcHoecHoBUP/O30IZyOyN5R4CTv2iZnpMrD1KJaG2bNUKPnpXjQQqst+pecCW54Fru4GlTYHaI4C7RgFeOQQxRO4yNDf0Hm1YbkbFm2jbZb6d63uBonULvIjkPgxPTB06dKi6ZJWIas7b21tNQiaXvB7TIckvd08f4MZ+4PoBILim0SVyTEm3gSgtix+1hgPFGmqjYIo11PqyzVV4GAhtA/z3AnBqrtYqcvZ34O6Z2myQRO4qu64YIYF6yVbaApvnVzIIIdeetp0kQSYYKNVeq4ozC1glWTn7J5B4HQgsrwUYOfEvCbT6VbtIC4lqFWkG7BrDXBFy30D+4ursgxDzvJCLzAsh+2IQ4mhryTAvJGvHf9D+r/SkNuNsblV4BOi2T/vflATsGQcsbQJc2Z6/14zI2VxcAyTHaevGBNfOer+0vJDVQEpygRWP3A+DEEdRrqcMmAOu/McF2Cy5feFOM3KlPMzkqLeKtJyT2iqyS8sVYasIuWVXTOfspwNQXZzBWsujzM9DZCcMQhyFf6jWDyvOLDS6NI7n5M/aiJcSzYCgfEygVPFRoNteoPxDZq0iTYGrO2xZWiLnzAfReXpriauCQ3XJjhiEOBJ2yeSiK6afbQK+1vNSW0VKANd2AkuaALveZa4IuS5ZHffGAW2NqrAOOe+fNl8IV/km+2EQ4kjK9dL+j/4XiIs2ujSO4+ouraVCRhBV7G2746pWkX1mrSJj2SpCrktGu4iQuwHfojnvr+eFyOdRCheMI/tgEOJICocDxRppEwSd/cPo0jheK0jZ7lrLhS1Jq0iruUDL2elbRXaPZasIueb8IDl1xehkfhB5TyTdAi5vsWvRyH0xCHE07JJJLyUJOPGT7bpiLJEEPWlh6Sq5Ig9qrSK7301tFdlpn+ckKkjSknF+hXVBiIxAC02dUZV5IWQnDEIccfZUIR8YiblfidBlST3Endd+kZXuYt/nCigFtJoHtPjFrFWksdYqwuZocmaXNgBJN7WRYdZM1se8ELIzBiGOJqiWNvojJQE4mzo7qDs7Pkv7v2LfgplyXVpFwh/TWkXKPcBWEXKxrhgZmmvFx76eF3JpvTa/CJGNMQhxNPIlWC514rIz8+HWEq7fGa5sr66Y7FpFWv8GtPgZ8C2uJcaqVpFxbBUh1x2am1FQTcA/TAtALm20S9HIvTEIceQumXOL3fvXhyzqJ3+/tA4Vjyj451etIn20ETRprSJjtKnfZcQOkTO4ff7OhGOlO1n/HjBfVZfIxhiEOKLijbVplSUrPWo53Jb53CDZze5Y4K0i24Gl0iryHltFyPFFLdP+l5F3MhrMWswLITtiEOKwXTIPuPeCdjHHtXUuZCr7Sk8YXRqzVhHJFemlBR+7RwNL72arCDlHV0wZK7tidHpLyOVN2g8jIhtiEOLoQ3XP/K4NU3U3x3/U/g9rr7UKOYqAMKD1fKDFT4BvMeDqNraKkOOSxefOL8tbPoiucGUgsIIWeEevs2nxiBiEOCpZR0aG0yVcSW0RcCMmk22nabdLq0jf1FyRnulbRa7tNrp0RHdIkBx/GfAJ0mZKzQvmhZAdMQhxVLKAVNke7tklI8MBY44C3oXutAg5ItUqsgBo/r87rSJLIoA944GbR4Er27K+3DpldOnJnYbmyloxsuxBXjEvhOzE214HJhuQL+BjM4DTC4CIT60b3+/M9FaQ8g9rgYgjk1+JlR4HwtoBm5/TptvfNQrYNVqadLJ+nKc/0P0gUKhCQZaW3E1eh+ZmlRdy5T9t6LxvcP7LRsSWEAcn+RDehYHbZ4HL/8EtyJDck3MctysmKwGlgXsWAs1/BLyLZB+AiJQ4IP5SQZWO3FHCVeDyxjuTlOVHofJA4araulayoB2RjbjJT2sn5eUPlOnmXhOXnf0TSLwOBJYHSqWuW+EsVKvIE0DruUaXhEhb8kCChuDatmlxk9Y+wflCyIYYhDjTgnaSsOnqjqVO017pSeftfvIraXQJiKxfNTcnofqkZStZu2QzTvop70bKdAE8/YCbh4Hr++DSbl+404cd/qTRpSFyXvKDJS0fJJ9dMRnzQmRlaRlxQ2QDDEIcnU8RIKzjndYQV3byF8CUDJRoCgTXNLo0RM7r+h7g9jnAKwAIvcd2MwdL147kO138xzbHJLfHIMSpJi6b7x4r5lbqb3RJiFyjKya0rZZbZitpQ3W5jgzZBoMQZ1C2u5YfISu5ynTmrkgWhJO/T+YyqNgbbuF8pNElIFeV36nas5K2mB3zQsg2GIQ4A/8QILSNdl3mDHFFJ1KnaS9zP+BXAk5NZrqVeUBysuOtO8ORiWwlMQaIXmvbpFSd+hzy0PLTJIeLKJ84WZmzkAXtpAlUZk+tNRwuRdbGOf4/55sbJCsyHFImIstqHhBZz2P/h1qOz/q+2rTvjrBIH7mGi6uBlASgUCWgSDXbHlt+IBSrr7VayudR+GO2PT65HbaEOAtZuVXIAlK3z8Pl5jOIO699wJXpCpcggUjxRpYvIU2AVnOBKoO0eRw29AOOfm90icnV8kGkK0bmrrE1PS/kIvNCKP8YhDgLmbFQRo1IZrqsrOuK07RX7AN4+cItSI5P06+BakO013TT08Dhr40uFbkCW03VnlNeyHnmhVD+MQhxti4ZV1vQLvHGnb/HFbpirA1EGk8Farys3d7yHHDwc6NLRc7s5hFt8UdJ8NaDBVuTIb8eXkDMEeDWafs8B7kNBiHOOFRXRlUkXINLODVXWy8mqBZQvDHcjjSXN/oEqPWadnvrS8D+yUaXipy9KyakpTbHkD34BAHFI7TrHKpL+cQgxJkEVQeC6wCmJODsX3CprhhpBbFH/7UzkL+7wUSgztva7e2vAns/NLpU5IzsNTQ3I+aFkI0wCHE2rtQlI3OeXFyjDfkLfxxuTQKReuOBumO12ztHALvHGV0qcibSoqi3TNgrH8RSXog7rGlFrh2ETJ06FeHh4fD390ezZs2wefPmLPdt27YtPDw8Ml26dUtdbRbAU089len+++6z85uyoLtkzv0NJMXCqenDcuVXlSTeujsJROqOBupP0G7vHgPsHMUPecodmRskORbwDwOK1rNvrZVsqeWdxJ4CbrnoBIrkHkHInDlzMHz4cIwZMwbbtm1D/fr10blzZ1y8eNHi/vPnz0dUVFTaZc+ePfDy8sIjjzySbj8JOsz3++WXX+ASijUAClUEkm8DUcvgtOTXk94VU5nTtKdTZwTQcJJ2fe94bVIz/toko4fmmvMuBJRopl3nKBly5iBk8uTJGDx4MAYMGIDatWtj2rRpCAwMxIwZMyzuX7x4cYSFhaVdli9frvbPGIT4+fml269YsWJwCfLhUu5B51/Q7tIGLbtePsz0Lia6o9arQMRn2vX9E4FtwxmIUPailhZMV4yO68iQs8+YmpCQgK1bt2LEiBFp2zw9PdGhQwds2LAhV8f47rvv8Nhjj6FQoULptq9evRqhoaEq+GjXrh3Gjx+PEiUsTwceHx+vLrobN26o/xMTE9XFFvTj2OJ4HmV6wPvgJzCd/RNJ8bFas6iT8Tw6E14yeWjZB5AMP6kYQ+vUIVV+Dp4mT3htGwocnILkpDikNJyiDe21A5evTwMUWJ3GnoHP9T0wwRNJJdrk6f1kLY8SrdUXiOnCSiQlJBRIYjnPUeeoU2uO5WEyGdfOe+7cOZQtWxbr169H8+bN07a/8cYb+Oeff7Bp06ZsHy+5I5JDIvs1bSoTeWlmz56tWkcqVaqEo0eP4u2330bhwoVVYCNdNxm9++67GDs2NSHQzM8//6yO43BMyegc+zT8cR3r/d9FtFcDOBNPUwI6xw6AL25hnf84XPKyc/+1k6uQuAINEqbCAyac8O6Inb5D7BaIkHOqkLgcDROm4opnDfwb8FGBvY+7xj4BLyQgMuALxHiWK5DnJccXGxuLvn374vr16wgKCnLdtWOkFaRu3brpAhAhLSM6ub9evXqoUqWKah1p3759puNIS4zkpZi3hJQvXx6dOnXKsQKtiQyl66hjx47w8cl/y4Xn1keAY9+iWZlzSIlIHdrpJDxOz4P3xlswBZRH025v5PkL1dZ16ri6IvlkI3htHoTwpOWoUDYMyU2+0SaMsiH3qc+CU1B16rXhB+AMEFzzUXStU3BLH3j801JN3962ZgpSqtr/eXmOOked6r0JuWFoEBISEqJaJi5cSL8ao9yWPI7s3Lp1S7V4jBuX8zDGypUrq+c6cuSIxSBE8kfkkpG8ILb+4LDZMSs8pIIQr3N/wKvZV871y/jUz+o/j0pPwMc3c71byx6vk8OpOgDwDgA2PAHPkz/CE8lA81mAp+3fwm5RnwXMrnUqC0BeiFRXvcp1g1dBvnZh7VUQ4nXpH3jVerHAnpbnqGPXqTXHMfSby9fXFxEREYiM1N5AIiUlRd02756xZO7cuSqP44kncl599MyZM7h8+TJKly4NlyFJYTJzoSz8dmkjnEbcRSDqb/ecpj2/ZMXSlnMAD2/g5M93VuAl93Z5E5B4HfAtXvCzDuvzhcjKvbIYI5GVDP/5LN0g06dPx6xZs7B//34MGTJEtXLIaBnRr1+/dImr5l0xvXr1ypRsGhMTg9dffx0bN27EiRMnVEDTs2dPVK1aVQ39dRmy0FvZ7s43SubEzyqnRS3GF1zT6NI4H2kBa/2blowsU96vfRRITjC6VOQIQ3PDOgKetu2iy1GJJtoIt/jLwLXdBfvc5BIMD0J69+6NSZMmYfTo0WjQoAF27NiBJUuWoFSpUur+U6dOqXk+zB08eBBr167FwIEDMx1Pund27dqFHj16oHr16mofaW35999/LXa5uMzsqc4yj4T5NO2UN+V6AK0XAp5+wJmFwL8ParNlknsqqKnaLZFguGRr7TrXkaE8cIjE1KFDh6qLJZJMmlGNGjWQ1aCegIAALF2aOl7e1cmHjpc/EHMMuLYLKFYfDk1+KV3drn1wVbyTPEx5ULYr0OZPYE0P4NwiYE0voPUCLW+E3Id0b175T7teurNxXcMSCF1YCdR8xZgykNMyvCWE8kGaQfWJiZyhS0ZvBSlzP+Bnec4WskLpjkDbxYBXoDZR1T/3A0m3WIXuJGq59n/R+kCAQTlvaXkh/2hJskRWYBDi7JxlQTv5cNLXimFXjG2/AO5dAngX1n6JruoCJN604ROQU8ySakRXjK5YQ8AnGEi8obV0ElmBQYizK3u/NlpCujpuHoHDOh+pjeSRFpAyBTePgVsIbQ3cu0wbLRX9L7CqM5Bw3ehSkb3JaJTzBTxVuyWSDBvaRrvOvBCyEoMQZ+dXHCjVVrt+eoHjd8VU7KON7CHbKtkcaLcC8CmqrcuzqhOQcJW17Mqu7tByQqQVLKSFsWVJW0dmpbHlIKfDIMQVlHfwBe2kmVbvLmJXjH2HS7ZfqbU2Xd4MRHbQhk6Sa4+KkQnDjA7s9byQ6LUcMk5WYRDiCsr1kvlHgcsbgdizcDin5gHJt4GgmgU/mZK7Kd4QaL8K8CsJXN0GRLYD4qKNLhXZc34QI7tidEXvAvxCtMToK1uMLg05EQYhrkCy4kPu1q6f+R0OPTdIAay06faK1gU6rAb8w7Sh25Ftgdvn3b5aXIrk/Fxab+zQXHOybERoarcw80LIXkHItWvX8P333+Ppp59Wa7DI1OoyKdiYMWPUSrhkIEftkok5rg3dk5aa8Jyn2CcbCa4NdPgHCCgLXN+nBSKx51i9rkLWipGZh4tUBwpXgkMIY14I2SkIOXfuHAYNGqTWXhk/fjxu376tZjeVQKRcuXJYtWqVWoGvdu3amDNnTh6KQTYbqitrOMRfcZwK1YflSuJaofJGl8a9BFXXApHACsCNg8CKNsCt00aXilytK0YXqueFrOcMvmTbGVMbNmyI/v37Y+vWrSrQsEQCk4ULF2LKlCk4ffo0XnvttdyXgvKvSBWgaD2t+f3sn0Dl/sbXqsxqy2najT8vJBCJvBeIOQKsuEfLGSkcbnDBKF/vKyOnas9KUA2ta/h2lDZCS09WJcpvS8i+ffswceLELAMQfbr0Pn36YMOGDWmLz5Gbd8nI6r7yxSczu+plo4InAUeHNUDhqsCtE1ogcvMoXwlndeMAEHtaWztIn5/DEUi+l94awrwQsmUQknGlWlvvTzbukjm/DEiMMb5aj8/S/i//EOBT2OjSuDfpCpMWEfm1Kl9gEohIFw05H70VRAIQ70A4FOaFkL1Hx8yaNQuLFi1Ku/3GG2+gaNGiaNGiBU6ePGnt4cjWoyIKV9H6Y/UPKqNIGU6m5gdxbhDHEFgGaP8PEFwHuH0OWNFWS1ol58wHcaSumIyTll3axHWMyD5ByIQJE1TXi5Cul6lTp6qumpCQEAwbNszaw5Gtm0MdpUvm7F9A4jUgsNydoXtkvIBSWk6I5A/JNPrLW2vB4pVtat2P4OSj2vofclsut04ZXWIylxSbOtrMwZJSdTJSp1BFwJQEXFxrdGnIVRJTzUnSadWqVdV1SUR96KGH8Mwzz6Bly5Zo25ZfNg7RJbP/Y2159+R4wMvPmHLoCanhT2prS5Dj8C+pzayqWkL2AOseU5t9AKh38AqzfT39ge4HgUIVjCotmVMr1cZrI55k8j9HJK0hx74HLq4CyjjAHCbkWi0hhQsXxuXL2lTQy5YtU0Nzhb+/vxohQwYLaaZlqMtU6Uat4yDrWZz7W7te6UljykDZk6ndG3+Rcy2lxAHxl1ibDjc0t7PjTvynj4o5z3VkyA5BiAQdMmeIXA4dOoSuXbUVUffu3YvwcA77c4iZC9U07gYuaHfiF605tngTILiWMWWgnPkUYS05G0ccmptVEHJ1K1dzJtsHIZIDIjOlRkdH47fffksbCSNziMgQXXIAel7ImYVASrJxXTGOMFcJkauIOQbcPAR4eAGl2sNhSR5YkWqAKQW4uMbo0pCr5YTISJgvvsjcjDt27FhblYnyS4bu+RYD4qOBS+uA0HsKrk6v7dEWTvP0ASr0LrjnJXJ1UUu1/0NaAL7BcGiSF3LzsDZfSLnuRpeGnL0l5NQp6zLkz551wJVc3YkEAGW7G9Mlo7eClOkG+IcU7HMTuTJHHpqbVZeMUXlp5FpBSJMmTfDss89iy5asl2i+fv06pk+fjrvuukt105DBzIfqyjTPBUG6fk6krhXDuUGIbCc54c4XuiMOzc1IH5Z/bScQrw1kIMpzd4xM2/7++++rpFQZBRMREYEyZcqo61evXlX3S2Jqo0aN1JwherIqGSisE+AVCMSe0uZ9KN6oYFb2lHUjfItrLSFEZBuX1gNJMYB/KFCsgXPMRyOT4l3fC1xYDVR4yOgSkbNP2z558mRERUWpfJBq1arh0qVLOHz4sLr/8ccfV4mpMnkZAxAH4R0AlOlSsBOXHUudpr1iH8DLt2Cek/LOL0SbByQ7cr/sR44xKiZMhuZaPZ7A2NlTuY4M2SoxVWZKffjhh9WFnKRL5vRvWhBSf7x9n0vmJTmTmn/CrhjnIBOQyURkqfOAJCYlYd3atWgdsh5eZ37TFiNrPpMTlTkCZ8oHMc8LOfQ580LItqNjyIlIl4gkqd7YD1w/AATbcYbFU78Bybe1WRxLNLHf85DtAxF9NtTERFz3ikJKnfZaEBKdOj04GSv2nJZbAQ8gTJsc0imoFX49tM+f2+eBgDCjS0QOyEna9ShPZBifPp+A3kph7xVzpRXEUWdypNwJqq01pcs8D4ensdaMJqtii+IR2pT7zsKv+J38FXbJUBYYhLi6gljQLuZE6qJaHkD44/Z7Hio41Ydq/x+drq2ITA4wVbsTdcXomBdCOWAQ4urK9tCCgyv/2W9FVH1YrvQBc6Ez1yDzzASW1/JFTv5qdGnclwx711tCnCkfRMf5QigHDEJcnQyVK9nqzjTutiZzkOgTlFXiNO0uw9MbqDZEu34oFwvdkX1c2QIkXAV8goESzZyvlkNba9PMxxy1348gcv3E1D/++CPXB+zRQ355k0Mp/wAQ/a82e2qNl2x77EsbtemZZU4SveuHXEOVQcDud7UvwkubgZCmRpfIfbtiJCFVAkNn4xMEFG8MXN6k5YVwPSnKIFdnda9eqauy5sDDwwPJyQYsmEbZK/cAsG04EL0GiIu2bXKb3gpS/iHApzBfCVci50nFx7TXWFpDQlJfayr49WKcsSvGPC+EQQjlpzsmJSUlVxcGIA6qcDhQrJE22uFs7lu1cpQcD5ycrV3nLxzXVO0F7f9Tc7QAlgqOTHd+ZbN2vXRn561587yQglpCgpwGc0LcqUvG1gvanf0TSLymLd2trxVBrkW6YIo3AVISgKPfGl0a93J+hfbDIfgu7T3mrEq21OYrij2t5YYQmbG6k3HcuHHZ3j969GhrD4mpU6fi448/xvnz51G/fn18/vnnaNrUcv9z27Zt8c8/mSdRkuniFy1apK6bTCaMGTNGLah37do1tGzZEl999ZWabt5tSb7GrlHA+eXa7KbSV2urrpjwJwBPr/wfjxx3uO7G/sDhr4BarztnboIzT9XuzF0xwjsQKHG3lpcmeSFFqhpdInIgVn+aLFiQ/pd0YmIijh8/Dm9vb1SpUsXqIGTOnDkYPnw4pk2bhmbNmmHKlCno3LkzDh48iNDQ0Ez7z58/HwkJCWm3L1++rAKXRx55JG2bLKL32WefYdasWahUqRJGjRqljikL7cmie24pqBYQVAO4cRA4uxgIfyx/x4u7CJz7W7vOadpdW8VHge2var9kpfVLb1Uj+5FuC2eeH8RSXogKQlYCVQcbXRpy5u6Y7du3p7vs2bNHLWzXvn17DBs2zOoCyMJ4gwcPxoABA1C7dm0VjAQGBmLGjBkW9y9evDjCwsLSLsuXL1f760GItIJIIDNy5Ej07NkT9erVww8//IBz585h4UI7DFF1FjKLqSSo2mr2VMkFMSVpTfXBtfJ/PHJcXv5AldQvDg7XLRjXdgFx57VRZ/oQe2eWlheyinkhlI5N2lWDgoIwduxYdO/eHU8++WSuHyctGrL67ogRI9K2eXp6okOHDmpF3tz47rvv8Nhjj6FQoULqtrTKSLeOHEMXHBysWlnkmLJvRvHx8eqiu3HjRlorj1xsQT+OrY6XFx6le8B734cwnVuMpLib2pdLHnkfnSlToCG54uNIMehvcoQ6dSXZ1melgfDe9xE8LqxE4uWd2tTulL86zYbnmUWQDs6U0LZITvEEUpz8HA+OgLenPzziLiDxyq48nz98z9uePerUmmPZrHP3+vXr6mKNS5cuqRE1pUqVSrddbh84cCDHx2/evFm1xEggopMARD9GxmPq92X0wQcfqCAqo2XLlqlWFluSlhvDmEzo5FECAUmXsXXRR7jgnbeF5oqknES729uRAm8sO1gcCYcWw0iG1qkLyqo+m3g1RZnkjTgTOQK7/J4t8HI5M2vP0Ra3f4EMpN9zuSyOLzb2/WUrLVAdJbEL+1d9ieM+XfN1LL7nbc+WdRobG2u/IERyLcxJ94d0x/z444/o0qULCpIEH3Xr1s0yiTW3pCVG8lLMW0LKly+PTp06qVYeW0WG8iJ37NgRPj4+MIrn9seAI1PRtPQZJDcZk7dj7BoBHJSEua7o0DKfuSUuUKeuIqf69LgYAPzTGeGmNSjX8QdtFk/KV51aftBNeP+u/Qir1X4YahV2jUROz/27gD27cFfJi6jVIm9BCN/ztmePOtV7E+wShHzyySfpbkv3ScmSJdG/f/903Sq5ERISAi8vL1y4cCHddrkt+R7ZuXXrFmbPnp1ptI7+ODlG6dKl0x2zQYPUFR0z8PPzU5eM5AWx9ZebPY5plYoPqyDEM+oveHp5WD/SQdayOPWLuupZ5Sl4OsCXv+F16mKyrM8yHVWCs8eN/fA5/QtQ40UjiueUrDpHL/yr5VsVrgKfYi6Ub1W6A7BnNDyj18DT2wvwyPsMEXzP254t69Sa41h9FkjOhfnl6NGj2LhxIyZMmIAiRYpYdSxfX19EREQgMjIybZtMeia3mzdvnu1j586dq/I4nnjiiXTbZTSMBCLmx5SobNOmTTke0y1IkptfCW0iJMlWt9aFSOD2OcC3uGoJITdLbq6eOnnZ4alMMLT3LKmuMCrGXInGgHdhIOGKlnhLlJcgRPI+rly5kmm7bLOmCUYn3SAyn4cMp92/fz+GDBmiWjlktIzo16+fxRYW6YqR6eRLlCiRaer4V155BePHj1dr3uzevVsdo0yZMrmeft6lSctH2Z7a9dPz8z43iEzn7ZW59YhcnAzH9i6iDfWWgJTsMDT3b9eYHyQjmbCsZOs7o2SI8hKEyOgS6QbJ6Ndff7U48iQnvXv3xqRJk9T8ItJdsmPHDixZsiQtsfTUqVMq58SczCGydu1aDBw40OIx33jjDbz44ot45pln0KRJE8TExKhjuu0cIdnNniozMuZW4s07gQtXzHVPPkXuTNHP4bq2J4tB3joBePq65izEYe20/8+vNLok5CCszgmRbg2Z28PSTKbvvPNOngoxdOhQdbFk9erVmbbVqFFDJcRmRVpDJFckp9ld3VZYB61Z9PZZ4PJ/uV8d9dQ8IPm2NulZibyNrCEXWU9GAhCZuCzmhLY2Edl2llRpMXDFBSH1+UJkMc2UJM6+S9a3hEgeRlJSksUM29u3b7NKnYHMD1Kmm3b9zHzru2KkSV7yA8g9BdfUAllpRTsyzejSuJa0WVKdeMG67BRtAPgU1ZaOuLLN6NKQMwYhMhz2m2++ybRdZjqVJFNyti6Z+blLMLx1ErgorVIe2lox5N5kPRkhi9ol8ceHTUg9qveYC+aD6GSNqVJttOsXmRdCeeiOkYRPmY10586daqp2ISNRtmzZoib3IichI1uk31n6oK/vA4rWyX7/4z/eaU4tVKFAikgOrMz9QGAFIPYUcGoOUPkpo0vk/GS0mnR3BpTRVs51VbKOzJnftbyQ2m8aXRpytpYQWZFWpj+XybwkGfXPP/9E1apVsWvXLrRunZr5TM6RYBjWKXejZKSlxLwrhkh+0VZ/XquHg59zuK4tmC9Y58rdnWl5IWuB5DuLkZJ7ytO07TKK5aeffrJ9aajgu2TO/aUtaFd3VNb7Xd6ktZjIYlrlHyzIEpIjqzwQ2DUGuLpNO0dC7ja6RK6RlOqqXTG64DqAX0kgPhq4vBkIdYEF+si+LSEy/0duL+REyvbQZi28uh2IOZ71fnorSPmHtBYUIuEfos0XIzhcN39unQJu7Nfej5L068rkbzRfVZfcWq6CkKJFi6JYsWLZXvR9yMm+REreo10/s9DyPsnxwMnUeWEqsyuGskhQPTUXuJ1++QXKwyypJe4GfN3gczQtCOF8Ie4uV90xq1YxWnVZ0r0iGfmSF1JzWOb7z/4FJFwFAsoCoakfHETmU3GXaKZ1x8hImbvyNleQ29O7YlxtqvbsklPFpQ3aqCDvAKNLRI4chLRpkzqkilxPuV7A1peA6HXaL9kAbabaNGkJqU9qw+uILLWGbNgEHP5KG+1g7aKI7i4lETi/wj3yQXRFqmmjgGQdKglE9JlUye3keRnD2NhYHDhwQI2KMb+QkylUHigus5+agLO/p78vLho4t/hOEEJkSYVHtERDmYFXhl6SdS5t1Cbv8gsBirvJXEsy+kdvDWFeiFuzOgiJjo7G/fffr1bMrVOnDho2bJjuQk5IH/GScajuyV+0JcWLNwaCaxtSNHICspBh1We060xQzXtXTFjHfC1v73SYF0J5CUJkhdpr166pNWQCAgLUwnCyAm61atXUqrXkxEGIJIklXLuznXODUG5VfRbw8NLyi67tYb3ldX4Qd6K3hMgw3cQYo0tDzhKErFy5Ui1g17hxY3h6eqJixYp44oknMHHiRHzwwQf2KSXZV1B1raVD+qbPLtK2XdsLXNkKeHgDFfvwFaCcu/Ukv0gcmsrayi3Jw5J5VkTp1MkD3YUsfFgoXGttlYnLyC1ZHYTcunULoaGh6roMyZXuGVG3bl1s28YFiZxWuQfTL2int4KU7aYN5SXKSfUX7pw75i1qlLXzqUtdFGsIBIS5X00xL8TtWR2E1KhRAwcPHlTX69evj6+//hpnz55VC9iVLl3a7SvUaSdKCqqpXT+7GLi4Fjg2Q7tdspV2P1FOQttqLWrJscCxWayv3HDXrhgd80LcntVByMsvv4yoqCh1fcyYMfj7779RoUIFfPbZZ5gwYYLbV6jTkQDjzxrAhtSVcVPigBWtgfhL2u3tr2v3MxCh3Ix40CcvOzwVMKWwzrIj9aO3hLjL0NysghDpkmLrmVuyekC/5H/oIiIicPLkSTVUVwKRkBA22zsdCTYk8MiO3C/7cfVcykn4k8COt7S1hmTuC3fLc7DGlW3a+8q7CBDSHG4psCxQpDpw8xBwcQ1QrofRJaIClu/xYIGBgWjUqBEDECICfAoDlZ7SaoLDdXM5NLcD4OnjvmcP80LcmtVByEMPPYSPPvoo03YZHfPII4/YqlxE5KyqP39nyv/sFkZ0d+6yam5OmBfi1qwOQtasWYOuXbtm2t6lSxd1HxG5uaAaQJh0w5i0qdwpM1mPSaYrF6U7u3cNlWqr/X9tFxCXmotGbsPqICQmJga+vr6Ztvv4+ODGjRu2KhcROTM9QVUWtUuKNbo0jud8pJaYKqPSClWEW/MPBYLv0q7LZHfkVqwOQmQ+kDlz5mTaPnv2bNSuzam9iUi6GLpqE1HJL/6Ts1kl7r5qbk6YF+K2rB4dM2rUKDz44IM4evQo2rXTpt2NjIzEL7/8grlz59qjjETkbGTF5WpDgB1vAoc+ByoP0IbwEmAycX4QS3khhz7Tlo4gt2J1S0j37t2xcOFCHDlyBM8//zxeffVVnDlzBitWrECvXqnTNpPzkJU7Pf2z30ful/2IrFFlIODlD1zdcSf/gYDre7UVh6VuQu9hjYhSbWSiGeDGAeC2Ng8VuQerW0JEt27d1IVcgMz90f3gncnJLJEAhHOEkLX8SmjrDh37XhuuW7IF69C8K0ZmmPUOYJ0I32La1PUyadmFVUB4X9aLm8hTEEIuRgIMBhlkrwRVCUJOzwNuT3bP9VEyilqq/c98kPTC2jEIcUP5nqyMiChLxRtps4HKCs1HprOikm5pM4MKd58fJKPQ1CncmRfiVhiEEFHBDNc9Mk0LRtzZhdVASoI2ckimK6c7QlsDHl5AzDHg1knWjJtgEEJE9lX+YcC/FHD7HHBmoXvXtvnQXI4WSs+nCFC8iXZd8kLILeQ5CElISMDBgweRlJRk2xIRkWvx8gWqPqNdd/f1ZM7pQYibz5KaXV6IOM+huu7C6iAkNjYWAwcOVAvX1alTB6dOnVLbX3zxRXz44Yf2KCMRObuqz2pN7ZIPcXUX3NLNI0DMEcDD+86XLVleR+biKm0+FXJ5VgchI0aMwM6dO7F69Wr4+9+ZX6JDhw4WZ1IlIlJLtpd7QKuIw1Pde1RMyZaAT5DRpXFMIS0AT18g9owWtJHLszoIkYnKvvjiC7Rq1QoeZn2a0iois6gSEWWboHr8f9p07m7bFcNRMVnyDgRC7r7TGkIuz+ogJDo6GqGhoZm237p1K11QkltTp05FeHi4alVp1qwZNm/enO3+165dwwsvvIDSpUvDz88P1atXx+LFi9Puf/fdd1U5zC81a9a0ulxEZGMyO6gsVJYcCxyb6V7Vmxx/Z+gph+bmbh0Z5oW4BauDkMaNG2PRokVpt/XA49tvv0Xz5s2tOpZ03wwfPhxjxozBtm3bUL9+fXTu3BkXL17MMhm2Y8eOOHHiBObNm6cSY6dPn46yZcum209aZaKiotIua9eutfbPJCJbk88KvTXk0JfaKrJuwuPSOi348g8DitY3ujiOjXkhbsXqGVMnTJiALl26YN++fWpkzKeffqqur1+/Hv/8849Vx5o8eTIGDx6MAQMGqNvTpk1TAc6MGTPw1ltvZdpftl+5ckU9l4+Pj9omrSiZ/ihvb4SFcWZGIocT/ri2qJ0kaEYtc5tWAY8Ly+6MiuHQ3OyVaAZ4BQBxF4Hr+4CidQriJSJnCUIkF2THjh1qJEzdunWxbNkyNGrUCBs2bFC3c0taNbZu3aoSXXWenp4qwVWOZckff/yhWlukO+b3339HyZIl0bdvX7z55pvw8vJK2+/w4cMoU6aM6uKR/T/44ANUqFAhy7LEx8eri+7GjRvq/8TERHWxBf04tjoesU5trWDOUT94hveH1+HPkHLwcySXbA9XptelR2pSalJoB5j4GZADT3iVaAHPi5FIjlqBlEJ3JnXj56jt2aNOrTlWntaOqVKliuoGyY9Lly4hOTkZpUqVSrddbh84cMDiY44dO4aVK1fi8ccfV3kg+kq+8gdLl46QvJKZM2eiRo0aqitm7NixaN26Nfbs2YMiRYpYPK4EKbJfRhJgyVBkW1q+fLlNj0esU1uz9zlaKKUmOqgv5r+x+q/vEOtZGq7MP+UyPG/thQkeWLbbhMQ9d3LYyLJqCaVRW+Ys2zUbWw5lbu3m56jt2bJOZSqP3PIwmXIejK23DORGUFDuhp6dO3dO5XJI14p5Lskbb7yhunU2bdqU6TGShBoXF4fjx4+ntXxIl87HH3+sAo6sElkrVqyo9pP5TXLbElK+fHkVKOX278mJBEryIktOi96VRKxTR1KQ56jXv93heX4pkqsPQ0r9j+DKdXpw8ZtomPAFUoo3RXJ75qflhsflTfBe2Romn2JI6hkFeGjpi/wctT171Kl8h4aEhOD69es5fofmqiWkaNGiuR75Iq0buSEFlEDiwoUL6bbL7azyOWREjFSSeddLrVq1cP78edW94+vra7HsErxIq0lWZJSNXDKS57L1h7E9junuWKdOWJ81XgTOL4XX8e/h1WC8NjTTRYUmb1P/e5a5D5587+ey0u4GvIvAI/EqfGL2AcUbprub73nbs2WdWnOcXI2OWbVqleoGkYskh8oQXWmxWLBggbrIdelGkftySwKGiIgIREZGpm1LSUlRt7MaZdOyZUsVTMh+ukOHDqngxFIAImJiYtT8JbIPETkImSujUCUg8Rpw4me4lFungCvbtMvlLWlBiPp7ZZvcT9nz9NYWtBNcR8al5aolpE2bNmnXx40bp7o2+vTpk7atR48eKin1m2++Qf/+/XP95DI8V/aXYb9NmzbFlClT1Hwj+miZfv36qS4bydkQQ4YMUROlvfzyy2qaeElAldE6L730UtoxX3vtNXTv3l11wUiXj+SKSMuJeXmJyGCeXkD154Htr2vryVQZ6BqjRiTA+LMGkBKnbqb7PbhJ+1yDpz/Q/SBQKOtkeUqdL+TcYm1+lVrDWSUuyurEVBm5IkNpM5JAYtCgQVYdq3fv3mrys9GjR6sulQYNGmDJkiVpyaqyLo2MmNFJnsbSpUsxbNgw1KtXTwUoEpDI6BjdmTNnVMBx+fJlNXpGRvNs3LhRXSciB1L5aWDXKODaTiB6HRDaCk4v/lJaAJIluV/2YxCSy/lC1gApSVrrCLkcq19VCQRkZMzEiRPTbZfJyuQ+aw0dOlRdLJH1aTKSrhoJKrIye/Zsq8tARAbwK67NG3L0O601xBWCELIdmdTNt5g2xf+VrUBIM9auC7I6CPnkk0/w0EMP4e+//1bDYYVMtS5dI7/99ps9ykhErqraC1oQcvo34HYUEMDcLTLrsgttC5xZoOWFMAhxSVZP2961a1cVcEgeiMxeKhfJwZAEUbmPiCjXZNSDrCprSgKOfMOKI8tdMvq6O+Ry8tTJVq5cObz//vu2Lw0RuZ9qQ7WckMPTgNojAC/LI92cQlz6KQfIRovZRa8FkhNkBhFWqbu3hBAR2VT5B7WF3eLOa03vzkjmfJShxmsfNbokriW4NuAfCiTfBi5nnsCSnB+DECIylrR8VH1Wuy4Jqs4m/jKwrjew/nEgKcbo0rgWGbYdqnfJrDK6NGQHDEKIyHhVnwE8vLVm96s74DTOLgIW3QWcmquVv8YwbR6Q7Mj9fiEFVULnx7wQl8aB10RkvMAyWrfMqV+BQ1OBZvlbINPuEm8C214FjqaWM6gW0PwHoERjoOYr2jwgsltSEtatXYuWrVrBxzv141YCEM4RYn1eyKUNWrcMuXcQcvv2bciad/rqsidPnlRTt9euXRudOnWyRxmJyB1UH6oFISd+Ahp8pM0j4ogu/gts6A/cOq7dltaP+u8D3gHabQkw9CAjMRHXvaKAYg1lQQ3jyuzMilQFAsoCt8/CQwIRcu/umJ49e+KHH35IW6FW5gr5v//7P7X9q6++skcZicgdlGwFFK2n/do99j0cTnI8sP0NYEUbLQAJrAC0XwlETL4TgJB98kJSW0M8ojNPYEluFoRs27YNrVtrCwvNmzdPTbEurSESmHz22Wf2KCMRucuXjbSGiMNfAqY7C1UaTvJUljQG9n8sQ2GAyk8BXXfdyVcg+0qtZ4+LDELg7kFIbGwsihQpoq4vW7YMDz74oFrf5e6771bBCBFRnoX3BXyKAjHHgHNLjK9IWbNk7wfA0qbA9T2AX0ngnoXA3d8DvsFGl859hKW2hFz5D94m5oW4dRBStWpVLFy4EKdPn1aLyel5IBcvXkRQUJA9ykhE7sK7EFDlaccYrnvzCLDiHmDn20BKIlCuF9BtD1Cup7HlcjeyMrEMg/YvAw9TEsonRgJXtwNXtmkXuZ/cJwiRFW9fe+01hIeHo2nTpmpBOb1VpGHDhvYoIxG5k2pDtJkxo/7WAgEjJh6T2VsX19dGZPgEAXfPBFrP1ybOooIjAcafNYAlEUDcObWpXuK38FnRTNsmF7mfgYj7BCEPP/wwTp06hf/++0+1hOjat2+vFrcjIsr3aIgyXbTrh74s2MqMPQus7gJsGQIkx2q5CJL7Ubm/lrNCBUuGOqfEZb+P3J86JJrcZLKysLAw1epx9uxZ1S0jpFWkZs2ati4fEbnr6rri2Awg6VbBPOeJ2cDiukDUUsDLH2g0BWi3AihUsWCen8gNWR2EJCUlYdSoUQgODlZdMnKR6yNHjkRiYqJ9SklE7qXMfUDhykDidW3eEHuKvwKsfQxY3wdIuAoUjwDu2wbUfBnw4KTSRPZk9TvsxRdfxDfffIOJEydi+/bt6iLXv/vuO7z00kv2KSURuRf58tdbQyRBVfI07EFG4CyWadfnAB5ewF1jgE4bgOBa9nk+IsrfjKk///wzZs+ejS5dUvtsJVGoXj2UL18effr04YRlRGQbVQYAu0YC13YD0f8CoffYrmYTY4DtrwNHpmm3g2oAzX8ESjSx3XMQke1bQvz8/FQXTEaVKlWCr6+vtYcjIrLMtxgQ/oTth+tGrwf+bnAnAKnxMnDfdgYgRM4QhAwdOhTvvfce4uPj07bJ9ffff1/dR0RkM9VTu2ROL9BGruR32vUdI4AVrYGYo0BgeaBdJBAxhdOuEzlLd4zkgERGRqJcuXKoX7++2rZz504kJCSoYboyg6pu/vz5ti0tEbmXYvWBkq217pgj3wD1xubtOFd3ARueBK7t0m5X6g9EfMpZTx2drDjs6Z/9MF1PH20/co8gpGjRonjooYfSbZN8ECIiu5D1ZFQQ8jVQ5x3Ay4pu35Rk4MAkYNcobdZT+bJq+g1Q/gG+WM5AViPufjBtHpDEpCSsW7sWLVu1gs+hyVpCcaFwIKC00SWlggpCvv/eAVe3JCLXJQGDfMncjgJO/waE98nd424eBTb2B6LXabfL9tACkIBSdi0u2SEQkYtITMR1ryigWEOg6VfAhUjg5mEtZ6jmMFa9E+IgeCJybNLcXvXZ3CeoynBe6br5u74WgHgXAZrN0BaeYwDiWonLDT7Uru9+F7h93ugSUUEEIZcvX8YLL7yA2rVrIyQkBMWLF093ISKyuarPAB7ewKX12qJlWZHWktXdgM3PajOthrbRpl2X4b6cdt31VB4AFG8CJN4AdrxldGmoILpjnnzySRw5cgQDBw5EqVKl4ME3NhHZm3THyHoyZ/8Edo8F6o7JvM+ljVruR8IVwNMPaPCBNvyWs566LnltG38BLGsGHJ+ltZiV1BZVJRcNQv7991+sXbs2bWQMEZHdySqpsqaLOPuHdslKsUZAix+B4Np8YdxBSFOg8tPaOkP/DQU6bwY8vYwuFdmrO0YWqbt9+7a1DyMiyudqqgk571dlMNB5IwMQdyOtXj7BwNVtwLHvjC4N2TMI+fLLL/HOO+/gn3/+UfkhN27cSHchIjJMtee0RFZyL/6hQL1x2vWdb2uLEpJrBiEyT4gEG+3atUNoaCiKFSumLrJd/iciIipw1Z4Hgu8C4i9ruUHkmjkhjz/+OHx8fNRCdkxMJSIih+DpDTT+HIi8V1sXqOpgoFgDo0tFtg5C9uzZo6Zur1GjhrUPJSIisp9SbYEKvbWZVP97EeiwhkOzXa07pnHjxjh9+rR9SkNERJQfjSYBXoFA9FrgxM+sS1cLQl588UW8/PLLmDlzJrZu3Ypdu3alu1hr6tSpCA8Ph7+/P5o1a4bNmzdnu/+1a9fUZGmlS5eGn58fqlevjsWLF+frmERE5CICywF3jdSu73gdSLxpdInIlt0xvXv3Vv8//fTTadtkwjKTyaT+T05OzvWx5syZg+HDh2PatGkqWJgyZQo6d+6MgwcPqqTXjGSl3o4dO6r75s2bh7Jly+LkyZMqKTavxyQiV1lN1Z+rqZKm5nDg6Awg5giw5z2g4UTWjKsEIcePH7fZk0+ePBmDBw/GgAED1G0JHBYtWoQZM2bgrbcyT8Er269cuYL169er5FghLR75OSYROd9qqlkGKvpCZ+TevPyAiE+Bf7oBBz7RJjMLrml0qcgWQUjFihVhC9KqId05I0aMSNvm6emJDh06YMOGDRYf88cff6B58+aqO+b3339HyZIl0bdvX7z55pvw8vLK0zFFfHy8uuj0+U4SExPVxRb049jqeMQ6tTWHP0d9S2uX7DhY2R2+Tp2MVfUZ2hFepbvCM2oxUv57Ccmt/2KSagGdo9Ycy+ogRPz444+qhUFaReTLXQIT6faoVKkSevbsmatjXLp0SXXdyDBfc3L7wIEDFh9z7NgxrFy5Ug0TljwQWcPm+eefV3/wmDFj8nRM8cEHH2Ds2LGZti9btgyBgYGwpeXLl9v0eMQ6tTWeo7bHOjWmPgNTuqMdlsHrwnJs+XMMznvfbeOSuI7lNvxuio2NtV8Q8tVXX2H06NF45ZVX8P7776flgEhehgQiuQ1C8iIlJUXldXzzzTeq5SMiIgJnz57Fxx9/rIKQvJKWE8kjMW8JKV++PDp16oSgoCCblF0CJXmRJadF70oi1qkj4TnKOnXJc3TPSWD/h2jqNRtJnUcAXgH2Libc/X1/w4rZ060OQj7//HNMnz4dvXr1wocffphu6O5rr72W6+OEhISoQOLChQvptsvtsLAwi4+RETFSSfI4Xa1atXD+/HnVFZOXYwoZZSOXjOS5bB0w2OOY7o51yvp0dDxHDazPuiOBkz/BI/YEfA5/YnkFZoItz1FrjmP1EF3pgmnYsGGm7fIlfuvWrVwfx9fXV7VkREZGpmvpkNuS92FJy5YtVReM7Kc7dOiQCk7keHk5JhERuTDvQkCj/9Ou7/sQiDlhdIkoP0GI5H3s2LEj0/YlS5aoVglrSBeItKrMmjUL+/fvx5AhQ1Qgo49s6devX7okU7lfRsfIPCUSfMiolwkTJqhE1dwek4iI3Ez5h4FS9wLJccC2O13vZLxcd8eMGzdOdbfIl7x86cfFxam5QWQisF9++UUld3777bdWzzkSHR2tckykS6VBgwYqmNETS0+dOqVGt+gkT2Pp0qUYNmwY6tWrp+YJkYBERsfk9phERORmPDyAiM+Bv+sDZxYAUcuA0p2MLhVZE4TI6JHnnnsOgwYNQkBAAEaOHKkyYGWIbJkyZfDpp5/iscces7pShw4dqi6WrF69OtM26VbZuHFjno9JRERuqGgdoPqLwMEpwNaXgC67AC9fo0vl9nLdHSOtHjoZInv48GHExMSo1oYzZ85g4MCBbl+ZRETkwOq+C/iHAjcOAgc/Nbo0ZG1OiEzLbk7m0OBU6ERE5BR8g4EGH2nX94wDYs8ZXSK3Z9UQXVksLmMgkpEkjhIRETmkSv2Aw18DlzcCO94AWvzP6BK5NauCEMkLCQ4Otl9piIiI7MnDE2jyBbCkCXDiJ6Dqc0BoK9a5MwQhknjK7hciInJqxSOAqoOBI98A/w0F7tsKeN6ZBJMcMCckp24YIiIip1HvfcC3GHBtJ3Dka6NL47byNDqGiIjIqfmHAPXe067vGgnEXTK6RG7J09rF44iIiFxC1WeBovWBhKvArneMLo1bsnradiIiIpfg6Q00/ly7fmQ6cGWr0SVyOwxCiIjIfYW2BsIfl6QDYMtQwHRngVSyPwYhRETk3hpMBLwLa3OHHP/R6NK4FQYhRETk3gLLAHeN1q7LBGYJ140ukdtgEEJERFTjZSCoBhB3Edg9lvVRQBiEEBERyYq6jVIXtTv0GXBtL+ukADAIISIiEmU6A+V6AaZkYOtLMkEW68XOGIQQERHpGk0GvPyBCyuB07+xXuyMQQgREZGucCWg1pva9W3DgaRbrBs7YhBCRERkrvabQKGKQOxpYO+HrBs7YhBCRERkzjsAaPSJdn3/RODmUdaPnTAIISIiykgSVMM6AikJwLZhrB87YRBCRESUkYcHEPEZ4OENnP0TOLuYdWQHDEKIiIgsCa4J1HxFu771ZSA5nvVkYwxCiIiIsnLXKMA/DIg5AhxIzRMhm2EQQkRElBWfIKDhx9r1Pe8BsWdYVzbEIISIiCg74Y8DJVsCybHA9tdZVzbEIISIiCinJNXGXwAensDJ2cCF1awvG2EQQkRElJNiDYCqz2rX/3sRSElindkAgxAiIqLcqPce4FscuL4HOPwl68wGGIQQERHlhl8JoP4E7fqu0UDcRdZbPjEIISIiyq0qg4BijYDE68COEay3fGIQQkRElOtvTS+g8efa9WMzgEubWXf5wCCEiIjIGiVbAJX6adf/GwqYUlh/ecQghIiIyFoNPgK8iwBXtgDHvmf9OXMQMnXqVISHh8Pf3x/NmjXD5s1ZN2/NnDkTHh4e6S7yOHNPPfVUpn3uu+++AvhLiIjILQSEAXXf1a5LbkjCVaNL5JQMD0LmzJmD4cOHY8yYMdi2bRvq16+Pzp074+LFrLOOg4KCEBUVlXY5efJkpn0k6DDf55dffrHzX0JERG6lxotAUC0gPhrYNcbo0jglw4OQyZMnY/DgwRgwYABq166NadOmITAwEDNmzMjyMdKyERYWlnYpVapUpn38/PzS7VOsWDE7/yVERORWPH2Axp9p1w9PBa7uMrpETsfbyCdPSEjA1q1bMWLEnWFOnp6e6NChAzZs2JDl42JiYlCxYkWkpKSgUaNGmDBhAurUqZNun9WrVyM0NFQFH+3atcP48eNRokQJi8eLj49XF92NGzfU/4mJiepiC/pxbHU8Yp3aGs9R22OdukF9lmgDr7IPwPPsAqRsGYrktiu0ad7duE4TrTiWh8lkMsEg586dQ9myZbF+/Xo0b948bfsbb7yBf/75B5s2bcr0GAlODh8+jHr16uH69euYNGkS1qxZg71796JcuXJqn9mzZ6vWlEqVKuHo0aN4++23UbhwYfVYLy+vTMd89913MXbs2Ezbf/75Z3UcIiKirASkXES720PhjQT85/cqznq3duvKio2NRd++fdV3tKRPuFQQYiniqlWrFvr06YP33nvP4j7Hjh1DlSpVsGLFCrRv3z5XLSHly5fHpUuXcqzA3JJyLl++HB07doSPj49NjunuWKesT0fHc9R96tNz3/vw2jsWJt8QJLWcC3gFWp5xNbACXL1Ob9y4gZCQkFwFIYZ2x0ghpWXiwoUL6bbLbcnjyA2ptIYNG+LIkSNZ7lO5cmX1XLKPpSBE8kfkYunYtj7R7XFMd8c6ZX06Op6jblCflfoCe8fBI+ESfFbda3kfT3+g+0GgkGMFIrauU2uOY2hiqq+vLyIiIhAZGZm2TfI85LZ5y0h2kpOTsXv3bpQuXTrLfc6cOYPLly9nuw8REVGeJcUAyKFjISUOiL/ESnak0TEyPHf69OmYNWsW9u/fjyFDhuDWrVtqtIzo169fusTVcePGYdmyZaqLRYb0PvHEE2qI7qBBg9KSVl9//XVs3LgRJ06cUAFNz549UbVqVTX0l4iIiByDod0xonfv3oiOjsbo0aNx/vx5NGjQAEuWLEkbdnvq1Ck1YkZ39epVNaRX9pWRL9KSIjklMrxXSPfOrl27VFBz7do1lClTBp06dVL5Ipa6XIiIiMhNgxAxdOhQdbFEhtqa++STT9QlKwEBAVi6dKnNy0hEREQu1h1DRERE7olBCBERERmCQQgREVFBiT3DujbDIISIiCi//EK0eUBysrE/cHEN69uRElOJiIicmkxAJhORZTUPSNxFYPsbwPXdwMoOQJNpQJWn4e4YhBAREdkqEMluNtTQe4CNTwGn5gKbBgI39gP1PwQ8M69p5i7YHUNERFQQvAOBlrOBu8Zot/dPAtb0AhK1ldvdEYMQIiKiguLhCdR7F2jxC+DpB5z7C1jWEog54ZavAYMQIiKighb+GNBhDeAfBlzfAyxtCkSvc7vXgUEIERGREUKaAvdtAYo1BOKjgch2wLFZbvVaMAghIiIySmA5oOO/QPkHgZQELXF1x1uAKcUtXhMGIUREREbyLgS0mgvUeUe7ve8j4N8HgcQYl39dGIQQERE5QsJq/fFA8/9pCatnfgeWtwJunYIrYxBCRETkKCo9DrRfBfiHAtd2piasboCrYhBCRETkSEo2BzpvBorWA+IuAJH3Asd/gitiEEJERORoClUEOq4DyvYAUuKBDU8AO0e6XMIqgxAiIiJH5FMYuGcBUPtN7fbe94G1jwBJt+AqGIQQERE5csJqgw+Bu2cCnj7A6fnA8tZA7Bm4AgYhREREjq5yf6DdSsAvBLi6HVjSBLi0Gc6OQQgREZEzCG0FdN4CBN8FxJ0HItsAJ2bDmTEIISIichaFw4FO64Ay3YDkOGB9H2DXGKdNWGUQQkRE5Ex8goB7fgdqvqrd3jMOWNcHSIqFs2EQQkRE5Gw8vYBGk4Bm32kJq6d+BVa0AWLPwpkwCCEiInJWVZ4G7l0O+JUArvynzbB6ZSucBYMQIiIiZ1aqjTbDanBt4PY5bQjvqXlwBgxCiIiInF3hykDH9UDp+4Dk29qkZnvGAyYTHBmDECIiIlfgGwy0+ROo8Yp2e9coYP3jQNJtOCoGIURERK7C0xuI+ARoMg3w8AZO/gJEtgVuR8ERMQghIiJyNdWeBdotA3yLAZc3pyasboejYRBCRETkikrdC3TaBATV0NaaWd4KOL0AjsTb6AIQERGRnQRVAzptBNY+CpxfDvz7IFDrDaDCo4CHB5CUhODko9p6NN6pIYGsT1OoAgoCgxAiIiJX5lsUaLsY2DYMOPQFsH+idpHJVwG0lSsrzPb39Ae6HyyQQITdMURERO6QsNr4c6DWmznvmxIHxF8qiFI5RhAydepUhIeHw9/fH82aNcPmzVkvTzxz5kx4eHiku8jjzJlMJowePRqlS5dGQEAAOnTogMOHDxfAX0JEROTAKj4KR2J4EDJnzhwMHz4cY8aMwbZt21C/fn107twZFy9ezPIxQUFBiIqKSrucPHky3f0TJ07EZ599hmnTpmHTpk0oVKiQOmZcXFwB/EVERETkFEHI5MmTMXjwYAwYMAC1a9dWgUNgYCBmzJiR5WOk9SMsLCztUqpUqXStIFOmTMHIkSPRs2dP1KtXDz/88APOnTuHhQsXFtBfRURERA6dmJqQkICtW7dixIgRads8PT1V98mGDRuyfFxMTAwqVqyIlJQUNGrUCBMmTECdOnXUfcePH8f58+fVMXTBwcGqm0eO+dhjj2U6Xnx8vLrobty4of5PTExUF1vQj2Or4xHr1NZ4jtoe65T16XCSklQyak4Sk5LkBM7TU1jzPWdoEHLp0iUkJyena8kQcvvAgQMWH1OjRg3VSiItHNevX8ekSZPQokUL7N27F+XKlVMBiH6MjMfU78vogw8+wNixYzNtX7ZsmWqVsaXly5fb9HjEOrU1nqO2xzplfTqK4OSj2miYHKxbuxbXvfI2y2psbKzrDtFt3ry5uugkAKlVqxa+/vprvPfee3k6prTESF6KeUtI+fLl0alTJ5V/YgsSGcoHUceOHeHjk5s4lFinBYvnKOvU0fEctQGZD8R8OG4WWrZqBRRrmKen0HsTHD4ICQkJgZeXFy5cuJBuu9yWXI/ckC/0hg0b4siRI+q2/jg5hoyOMT9mgwYNLB7Dz89PXSwd29YBgz2O6e5Yp6xPR8dzlPXpMAqFafOAyDDcrHj6w0f2y+N3lTXfcYYmpvr6+iIiIgKRkZFp2yTPQ26bt3ZkR7pzdu/enRZwVKpUSQUi5seUqExGyeT2mERERC6pUAVtIrL7tqpLYodNWO3/f+p/fVtBTVTmEN0x0g3Sv39/NG7cGE2bNlUjW27duqVGy4h+/fqhbNmyKm9DjBs3DnfffTeqVq2Ka9eu4eOPP1ZDdAcNGpQ2cuaVV17B+PHjUa1aNRWUjBo1CmXKlEGvXr0M/VuJiIgMV6jCnSAjMVHL/ZCuFwNa6Q0PQnr37o3o6Gg1uZgkjkqXyZIlS9ISS0+dOqVGzOiuXr2qhvTKvsWKFVMtKevXr1fDe3VvvPGGCmSeeeYZFai0atVKHTPjpGZERERkHMODEDF06FB1sWT16tXpbn/yySfqkh1pDZEWE7kQERGRYzJ8sjIiIiJyTwxCiIiIyBAMQoiIiMgQDEKIiIjIfRNTHY0sgmftrG+5melPprKVY3KyMtapI+I5yjp1dDxHnaNO9e9O/bs0OwxCLLh586b6X6ZuJyIiorx9l8oCstnxMOUmVHEzMmvruXPnUKRIETXc1xb09WhOnz5ts/Vo3B3rlPXp6HiOsj7d8Rw1mUwqAJFJQs3n+bKELSEWSKXJirz2IC8ygxDWqSPjOco6dXQ8Rx2/TnNqAdExMZWIiIgMwSCEiIiIDMEgpID4+flhzJgx6n9inToinqOsU0fHc9T16pSJqURERGQItoQQERGRIRiEEBERkSEYhBAREZEhGIQQERGRIRiE2NDUqVMRHh4Of39/NGvWDJs3b852/7lz56JmzZpq/7p162Lx4sW2LI7b1en06dPRunVrFCtWTF06dOiQ42vgbqw9R3WzZ89Wswf36tXL7mV09Tq9du0aXnjhBZQuXVqNSKhevTrf+/mozylTpqBGjRoICAhQM38OGzYMcXFxtnlxndyaNWvQvXt3NXOpvH8XLlyY42NWr16NRo0aqXOzatWqmDlzpn0LKdO2U/7Nnj3b5Ovra5oxY4Zp7969psGDB5uKFi1qunDhgsX9161bZ/Ly8jJNnDjRtG/fPtPIkSNNPj4+pt27d/PlyGOd9u3b1zR16lTT9u3bTfv37zc99dRTpuDgYNOZM2dYp3moT93x48dNZcuWNbVu3drUs2dP1mU+3vfx8fGmxo0bm7p27Wpau3atqtvVq1ebduzYwXrNQ33+9NNPJj8/P/W/1OXSpUtNpUuXNg0bNoz1aTKZFi9ebHrnnXdM8+fPl+VZTAsWLMi2Xo4dO2YKDAw0DR8+XH0vff755+p7asmSJXarTwYhNtK0aVPTCy+8kHY7OTnZVKZMGdMHH3xgcf9HH33U1K1bt3TbmjVrZnr22WdtVSS3q9OMkpKSTEWKFDHNmjXLjqV07fqUOmzRooXp22+/NfXv359BSD7r9KuvvjJVrlzZlJCQkP8X1AVZW5+yb7t27dJtky/Qli1b2r2szga5CELeeOMNU506ddJt6927t6lz5852Kxe7Y2wgISEBW7duVc3/5uvPyO0NGzZYfIxsN99fdO7cOcv93U1e6jQjWZ5alqkuXrw43F1e63PcuHEIDQ3FwIEDC6ikrl2nf/zxB5o3b666Y0qVKoW77roLEyZMQHJyMtxdXuqzRYsW6jF6l82xY8dU11bXrl0LrNyuZIMB30tcwM4GLl26pD5E5EPFnNw+cOCAxcecP3/e4v6ynfJWpxm9+eabqi8045vKHeWlPteuXYvvvvsOO3bsKKBSun6dypfkypUr8fjjj6svyyNHjuD5559XwbLMWunO8lKfffv2VY9r1aqVWrk1KSkJzz33HN5+++0CKrVrOZ/F95KstHv79m2Vd2NrbAkhl/Thhx+qZMoFCxaoBDeyjizD/eSTT6pk35CQEFafjaSkpKiWpW+++QYRERHo3bs33nnnHUybNo11nAeSRCktSV9++SW2bduG+fPnY9GiRXjvvfdYn06CLSE2IB/SXl5euHDhQrrtcjssLMziY2S7Nfu7m7zUqW7SpEkqCFmxYgXq1atn55K6Zn0ePXoUJ06cUJn15l+gwtvbGwcPHkSVKlXgzvJyjsqIGB8fH/U4Xa1atdQvUOmO8PX1hbvKS32OGjVKBcuDBg1St2WU4a1bt/DMM8+o4E66cyj3svpeCgoKsksriOArZAPywSG/aiIjI9N9YMtt6f+1RLab7y+WL1+e5f7uJi91KiZOnKh+BS1ZsgSNGzcuoNK6Xn3K0PHdu3errhj90qNHD9x7773qugyFdHd5OUdbtmypumD0gE4cOnRIBSfuHIDktT4l7ytjoKEHeFouJlnDkO8lu6W8uuHQMhkqNnPmTDW06ZlnnlFDy86fP6/uf/LJJ01vvfVWuiG63t7epkmTJqnhpGPGjOEQ3XzW6YcffqiG982bN88UFRWVdrl582bBnAQuVp8ZcXRM/uv01KlTasTW0KFDTQcPHjT99ddfptDQUNP48ePt8Iq7fn3K56bU5y+//KKGly5btsxUpUoVNfqQTOqzT6YskIt83U+ePFldP3nypKoeqUup04xDdF9//XX1vSRTHnCIrhORMdUVKlRQX4Qy1Gzjxo1p97Vp00Z9iJv79ddfTdWrV1f7y7CoRYsWGVBq16nTihUrqjdaxot8UJH19ZkRg5D8n6Ni/fr1aji+fNnKcN33339fDYUm6+szMTHR9O6776rAw9/f31S+fHnT888/b7p69Sqr02QyrVq1yuJnol6H8r/UacbHNGjQQNW/nJ/ff/+9XevSQ/6xXzsLERERkWXMCSEiIiJDMAghIiIiQzAIISIiIkMwCCEiIiJDMAghIiIiQzAIISIiIkMwCCEiIiJDMAghIiIiQzAIIaJ8mTlzJooWLerUtejh4YGFCxfm6xjvvvsuGjRokO0+Tz31FHr16pV2u23btnjllVfSboeHh2PKlCn5KgeRM2EQQuTg5ItLviSfe+65TPe98MIL6j7ZpyC+dC19Scpy9LIIG+Xs008/VUFbVrZs2aJWgM3v60TkLBiEEDkBWbV29uzZuH37dtq2uLg4/Pzzz6hQoYKhZZMlvkNDQ+GIEhMT4UiCg4OzbTUqWbIkAgMDC7RMREZiEELkBBo1aqQCkfnz56dtk+sSgDRs2DDH1grpJpDuAv1+8cADD6hf2vrto0ePomfPnihVqhQKFy6MJk2aYMWKFem6Dk6ePIlhw4apx8klq+6Yr776ClWqVFHLs9eoUQM//vhjuvvlsd9++60qg3zpVqtWDX/88Ue2dSDlfO+999CnTx8UKlQIZcuWxdSpUzMdV567R48eap/3338/V+URUVFR6NKliwqqKleujHnz5qW7/80330T16tVVeeX+UaNGWQxyvv76a/VayX6PPvoorl+/nmV3jKW/UX/tLL1OJ06cUEvX//fff+keJ4+pWLEiUlJSsq1DIkfDIITISTz99NP4/vvv027PmDEDAwYMsPo40uQv5FjyxavfjomJQdeuXREZGYnt27fjvvvuQ/fu3XHq1Km0oKdcuXIYN26cepxcLFmwYAFefvllvPrqq9izZw+effZZVc5Vq1al22/s2LHqS3rXrl3qeR9//HFcuXIl27J//PHHqF+/virfW2+9pZ5n+fLl6faRYEu+uHfv3q3qLLflkaDioYcews6dO1VZHnvsMezfvz/t/iJFiqiAa9++fapbZfr06fjkk0/SHePIkSP49ddf8eeff2LJkiWqnM8//zzywtLrJIFIhw4d0p0H+j4S4EiAQuRUuN4xkWOT5bZ79uxpunjxolr+/cSJE+oiS5dHR0er+8yXN69YsaLpk08+SXeM+vXrm8aMGZN2W976CxYsyPG569Spo5ZWz+7YstR3cHBw2u0WLVqYBg8enG6fRx55xNS1a9d0zz9y5Mi02zExMWrb33//nWVZ5Lnvu+++dNt69+5t6tKlS7rjvvLKK+n2yW15nnvuuXT7NGvWzDRkyJAsy/Pxxx+bIiIi0m5L/Xp5eZnOnDmTtk3+Hk9PT1NUVFS611Iny6i//PLLWdavpddpzpw5pmLFipni4uLU7a1bt5o8PDxMx48fz7KsRI6KYTORk5B8gW7duqlf4/LLV66HhITY7PjSEvLaa6+hVq1aqntFumSkJUBvCckteUzLli3TbZPb5q0Kol69emnXpeskKCgIFy9ezPbYzZs3z3Q743EbN26cp/LkdOw5c+aox4WFham6GTlyZKa6ke4x6SYyP4Z0kRw8eBC2It05Xl5eqoVHyPlw7733pnXfEDkTBiFETkS6F+RLZ9asWeq6JdIkr/2Iti5BUwIQ+WKbMGEC/v33X+zYsQN169ZFQkIC7MHHxyfdbcl7sEVOgwQ0trZhwwbVRSPdRn/99ZfqZnnnnXfsVjfZkbyWfv36qUBUnl+Sk7M6F4gcHYMQIicieRryxSNBRefOnbNsMTHP17hx4waOHz+eKQBITk5Ot23dunUqr0DyKST4kF/8kgiZ8Qsw4+MykpYUOVbGY9euXRv5tXHjxky35flsUZ7sjr1+/XqV+CmBh7S0SCKtJOlmJC0j586dS3cMCQolGTYvLL1OYtCgQSpp+Msvv0RSUhIefPDBPB2fyGjeRheAiHJPmuH1LgK5bkm7du1Ua4kklUq3yujRozPtK033koAq3Qt+fn4oVqyY+mKV5FN5nLRKSKJmxpYJedyaNWtU0qY8zlJ30Ouvv64STmXUjiRRSpKmHNd8pE1eSfAwceJE1SUhCalz587FokWLsn1Mbssjx5IAo1WrVvjpp5+wefNmfPfdd+o+qRsJMGSYtIwakufUu0PM+fv7o3///pg0aZIK/l566SX13BLQ5YWl10lIcHT33XerETvSCiIjeoicEVtCiJyM5E7IJSsjRoxAmzZtcP/996u8EfnCluGp5v7v//5PfYnLUFJ9iO/kyZPVl1yLFi1UICItLTI02JyMjJHWETmetLhYIs8no0fki7hOnTpqyKp0HcgQ3/ySES4yPFXKPH78eFXmrFqErC2PjNaRIENyVX744Qf88ssvaa0lMuRXhiYPHTpUDXeWlhEJ0jKqWrWqapWQbptOnTqpY0lrRV5Zep10AwcOVK1i7IohZ+Yh2alGF4KIKDetAjLFufk05+5M5kyR1hsZ4kzkrNgSQkTkRGQUk8x38sUXX+DFF180ujhE+cIghIjIiUiXUEREhOpOYlcMOTt2xxAREZEh2BJCREREhmAQQkRERIZgEEJERESGYBBCREREhmAQQkRERIZgEEJERESGYBBCREREhmAQQkRERDDC/wNDoWekbzLYbAAAAABJRU5ErkJggg==", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# Paramètres de l'expérience\n", - "mutation_probs = np.arange(0, 1.01, 0.1)\n", - "fitness_results = []\n", - "time_results = []\n", - "\n", - "for mp in mutation_probs:\n", - " res, _ = run_local_search(number_of_bits=512, max_evaluations=5000, mutation_prob=mp, output_prefix=f'LS_mut_{mp:.2f}', verbose=False)\n", - " fitness_results.append(res['fitness'])\n", - " time_results.append(res['computing_time'])\n", - "\n", - "# Boxplot des fitness\n", - "plt.figure(figsize=(6,4))\n", - "plt.boxplot(fitness_results)\n", - "plt.title('Boxplot des fitness obtenus')\n", - "plt.ylabel('Fitness')\n", - "plt.xlabel('Mutation probability index')\n", - "plt.show()\n", - "\n", - "# Histogramme des fitness\n", - "plt.figure(figsize=(6,4))\n", - "plt.hist(fitness_results, bins=10, alpha=0.7)\n", - "plt.title('Histogramme des fitness')\n", - "plt.xlabel('Fitness')\n", - "plt.ylabel('Fréquence')\n", - "plt.show()\n", - "\n", - "# Courbe fitness en fonction de mutation_prob\n", - "plt.figure(figsize=(6,4))\n", - "plt.plot(mutation_probs, fitness_results, marker='o')\n", - "plt.title('Fitness en fonction de mutation_prob')\n", - "plt.xlabel('Mutation probability')\n", - "plt.ylabel('Fitness')\n", - "plt.grid(True)\n", - "plt.show()\n", - "\n", - "# Courbe du temps de calcul en fonction de mutation_prob\n", - "plt.figure(figsize=(6,4))\n", - "plt.plot(mutation_probs, time_results, marker='s', color='orange')\n", - "plt.title('Temps de calcul en fonction de mutation_prob')\n", - "plt.xlabel('Mutation probability')\n", - "plt.ylabel('Temps de calcul (s)')\n", - "plt.grid(True)\n", - "plt.show()\n", - "\n", - "# Scatter plot fitness vs temps de calcul\n", - "plt.figure(figsize=(6,4))\n", - "plt.scatter(time_results, fitness_results, c=mutation_probs, cmap='viridis', s=80)\n", - "plt.colorbar(label='Mutation probability')\n", - "plt.title('Fitness vs Temps de calcul')\n", - "plt.xlabel('Temps de calcul (s)')\n", - "plt.ylabel('Fitness')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "50454a52", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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StatistiqueFitnessTemps (s)
0Moyenne-507.5000000.555848
1Médiane-508.0000000.526669
2Écart type1.7748240.083364
3Min-511.0000000.463480
4Max-504.0000000.763713
\n", - "
" - ], - "text/plain": [ - " Statistique Fitness Temps (s)\n", - "0 Moyenne -507.500000 0.555848\n", - "1 Médiane -508.000000 0.526669\n", - "2 Écart type 1.774824 0.083364\n", - "3 Min -511.000000 0.463480\n", - "4 Max -504.000000 0.763713" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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XX3zRrWvkMOPAb3/721DXrl1D1atXd0OcO3ToELrnnnvcsNBgHW+44YZQRkaGe7709PTQD37wg9Bf//rXChtmXNQ2atlYQ37zD40NfrcaHn7BBRe4IdwNGjQIXXrppaGHHnoolJub65Z54YUX3O9K26FltF2jRo0K7dmzJ/w8GoberVu3UL169dx+adOmTej+++8PP0dRtK81ZD0Y1hw5bLewKf/fhf52HnjgAbftWsd27dqFnnnmmVBJFLbPA/PmzQudd9557nd52WWXud9jYcOM8w8f3rVrl5uv95zs3LkzNGzYsFCrVq3cey4tLc39Db/xxhtRj9OQd22HhmGj8knSP/EOSUBlozN1nZHyrbUIqNtMLTBqoYjVfVYZ6SJ5ahVUi01JRiHh7EINCgB4QN0b6t5RESzB9dt6Ll2NWd2jhJPKiRYUIA5oQQGAotGCAgAAvEMLCgAA8A4tKAAAwDsEFAAA4B0u1FZKujy5Lnmui3Dx5VUAAJScrmyiizbqatuFXRU5QEApJYWT4LtOAABA6elrEor75mwCSimp5STYucFl0AH4911KwSX4AfhD38Okk/zgWFoUAkopBd06CicEFMDPgKJvfNb7k4AC+KkkJRIUyQIAAO8QUAAAgHcIKAAAwDsEFAAA4B0CCgAA8A4BBQAAeIeAAgAAvJMwAaV58+Zu3HTkNHv27KhlNm3aZL169bJq1aq5C8HMnTu30OdbunSpe45BgwadgbUHAAClkVAXapsxY4aNGDEifDvySnS6Op2uHNm3b19buHChbd682YYNG2b16tWzkSNHRj1Pdna23X333S7MAAAA/yRUQFEgady4ccz7lixZYrm5ubZo0SJLTU21du3aWVZWls2fPz8qoJw8edJuvPFGmz59uq1atcoOHjx4BrcAAACcdQFFXTozZ860jIwMGzx4sI0dO9ZSUr7dhLVr11rv3r1dOAn079/f5syZYwcOHLD69euHW2HS09Nt+PDhLqAU5/jx426KbKkJLqetCUDFyMnJsW3btpX7efRNqe+8847VqlWrRN/3UZTWrVu7y+YDqBilOW4mTEAZM2aMdenSxdLS0mzNmjU2ceJE27Nnj2shkb1791qLFi2iHtOoUaPwfQooq1evtieffNK1rJTUrFmzXGtLfvoyMj64gIqzY8cOGz9+fIU938MPP1zu55g3b561atWqQtYHgLkTkYQIKBMmTHAtHEXZunWrtWnTxsaNGxee17FjR9dSMmrUKBcgqlatWqKzqptuuskef/xxa9CgQYnXUUEo8rWDb2JUvQtfFghU7AdXz549y/08H374oWsh1clI+/bty/VctKAAFSvohfA+oOhsaejQoUUu07Jly5jzu3fvbnl5ea7gVR8iqk3Zt29f1DLBbd2nszMte80114TvP3XqlPupbiI1Lcc6U1L4iRWA9C2pfFMqUHHq1q1r3bp1q7DnUzipyOcDUH6lOW7GNaA0bNjQTWWhbprk5GRXTyI9evSwSZMmuf6tYAesXLnShRd171SvXt2N7Ik0efJk17KSmZnpWkUAAIAfEqIGRQWw69evtz59+riiN91WgeyQIUPCxa8qmlWtiJp27733XtfMq+AR9EPr2ij5m3s1BFnK2wwMAAAqYUBRF4surDZt2jQ3okbFsAookbUhah5W4ero0aOta9eurs5kypQpBa6BAgAA/JcQAUWjd9atW1fsciqeLcnQ4cDixYvLuWYAAKBSX+oeAABUHgQUAADgHQIKAADwDgEFAAB4h4ACAAC8Q0ABAADeIaAAAADvEFAAAIB3CCgAAMA7BBQAAOAdAgoAAPAOAQUAAHiHgAIAALxDQAEAAN4hoAAAAO8QUAAAgHcIKAAAwDsEFAAA4B0CCgAA8A4BBQAAeIeAAgAAvENAAQAA3iGgAAAA7xBQAACAdwgoAADAOwQUAADgHQIKAADwDgEFAAB4h4ACAAC8kzABpXnz5paUlBQ1zZ49O2qZTZs2Wa9evaxatWrWtGlTmzt3btT9ixcvLvAcWhYAAPglxRLIjBkzbMSIEeHbtWvXDv//8OHD1q9fP+vbt68tXLjQNm/ebMOGDbN69erZyJEjw8vVqVPHtm3bFr6tkAIAAPySUAFFgaRx48Yx71uyZInl5ubaokWLLDU11dq1a2dZWVk2f/78qICiQFLYcwAAAD8kVEBRl87MmTMtIyPDBg8ebGPHjrWUlG83Ye3atda7d28XTgL9+/e3OXPm2IEDB6x+/fpu3pEjR6xZs2Z26tQp69Kliz3wwAMuzBTm+PHjbopsqZETJ064CYBfgvcl71HAP6U5biZMQBkzZowLFGlpabZmzRqbOHGi7dmzx7WQyN69e61FixZRj2nUqFH4PgWU1q1buxaWjh072qFDh+yhhx6ySy+91D766CM7//zzY77urFmzbPr06QXmr1ixwmrUqHFathVA2e3YscP9XL9+ve3fv59dCXgkJyenxMsmhUKhkMXJhAkTXAtHUbZu3Wpt2rQpMF9BY9SoUa5FpGrVqq7+RAHlscceCy+zZcsW1zqin23bto2Z5DT/hhtucC0zJW1BUQGuPvhUzwLALxs2bLCePXva6tWrrVu3bvFeHQARdAxt0KCBayQo7hga1xaU8ePH29ChQ4tcpmXLljHnd+/e3fLy8iw7O9u1jKiuZN++fVHLBLcLqzmpUqWKde7c2bZv317o6yv8aIr1WE0A/BK8L3mPAv4pzXEzrgGlYcOGbioLFcAmJydbenq6u92jRw+bNGmSaxUJdsDKlStdeAnqT/I7efKkG+0zYMCAcmwFAAColNdBUQHsggUL7IMPPrCdO3e6ETsqkB0yZEg4fKhoVgWyw4cPdzUlzz33nGVmZtq4ceOihimrdkTP8f7777vH796922655ZY4bh0AAEjIIll1sSxdutSmTZvm6kFUa6KAEhk+6tat68LH6NGjrWvXrq6Pa8qUKVFDjDWaR9dRCYpmtZwKbi+++OI4bRkAAPCuSDZRC3wUhkpS4AMgPkWyqlHTKB6KZIHEPYYmRBcPAACoXAgoAADAOwQUAADgHQIKAADwDgEFAAB4h4ACAAC8Q0ABAADeIaAAAADvEFAAAIB3CCgAAMA7BBQAAOAdAgoAAPAOAQUAAHiHgAIAALxDQAEAAN4hoAAAAO8QUAAAgHcIKAAAwDsEFAAA4B0CCgAA8A4BBQAAeIeAAgAAvENAAQAA3iGgAAAA7xBQAACAdwgoAADAOwQUAADgHQIKAADwDgEFAAB4J2ECSvPmzS0pKSlqmj17dtQymzZtsl69elm1atWsadOmNnfu3ALPc/DgQRs9erSde+65VrVqVbvooots+fLlZ3BLAABAcVIsgcyYMcNGjBgRvl27du3w/w8fPmz9+vWzvn372sKFC23z5s02bNgwq1evno0cOdItk5uba1deeaWlp6fbCy+8YOedd57t3r3bLQMAAPyRUAFFgaRx48Yx71uyZIkLIIsWLbLU1FRr166dZWVl2fz588MBRfd99dVXtmbNGqtSpUq4ZQYAAPglKRQKhSwBKEgcO3bMTpw4YRkZGTZ48GAbO3aspaR8m7F++tOfulaUZcuWhR/z1ltv2fe//30XSurXr28DBgywtLQ0q1Gjhr300kvWsGFD9zz33nuvnXPOOTFf9/jx424K6DXUfbR//36rU6fOGdhyIDH8/e9/tyNHjsR7NezDDz+04cOH25NPPmnt27eP9+pYrVq17MILL4z3agBe0DG0QYMGdujQoWKPoQnTgjJmzBjr0qWLCxhqAZk4caLt2bPHtZDI3r17rUWLFlGPadSoUfg+BZSdO3fam2++aTfeeKOrO9m+fbvdfvvtLvRMnTo15uvOmjXLpk+fXmD+ihUrXNABYPbZZ5+595JPFFJ88cgjj1iTJk3ivRpA3OXk5CRGC8qECRNszpw5RS6zdetWa9OmTYH56q4ZNWqUO2NTsavqTxRQHnvssfAyW7ZscV09+tm2bVtXEKtWmF27doVbTBRwHnzwQRd2YqEFBSjexo0brXv37rZ48WL3Xounr7/+2l555RUbOHBgVJ1aPOjza+jQobZ+/Xrr3LlzXNcF8EHCtKCMHz/evXmL0rJly5jz9WGYl5dn2dnZ1rp1a1ebsm/fvqhlgttB3YpG7qj2JLI7Rx+mamFR/YpqV/JT+NGUn54nqGMBKrugq7VDhw6upTOe1CKqE5fevXvH/T0a7Bf9jPe6AD4ozfsgrgFFNSCaykIFsMnJyW5EjvTo0cMmTZrkPpyCHbBy5UoXXtS9I5dddpk9++yzdurUKfdY+eSTT1xwiRVOAABAfCTEdVDWrl1rCxYssA8++MDVkWjEjgpkhwwZEg4fKnZVyFC/80cffWTPPfecZWZm2rhx48LPc9ttt7mC2TvvvNMFEzUDP/DAA+66KAAAwB8JUSSrLpalS5fatGnTXE2Iak0UUCLDR926dV3hqsJG165dXR/XlClTwkOMRaNvXn/9dffYjh07uuugKKxoFA8AAPBHQgQU9WmvW7eu2OUUOlatWlXkMuoKKslzAQCA+EmILh4AAFC5EFAAAIB3CCgAAMA7BBQAAOAdAgoAAPAOAQUAAHiHgAIAALxDQAEAAN4hoAAAAO8QUAAAgHcIKAAAwDsEFAAA4B0CCgAA8A4BBQAAeIeAAgAAvENAAQAA3iGgAAAA7xBQAACAdwgoAADAOwQUAADgHQIKAADwDgEFAAB4h4ACAAC8Q0ABAADeIaAAAADvEFAAAIB3CCgAAMA7BBQAAOAdAgoAAPBOwgSU5s2bW1JSUtQ0e/bsqGU2bdpkvXr1smrVqlnTpk1t7ty5UfdfccUVBZ5D08CBA8/w1gAAgKKkWAKZMWOGjRgxIny7du3a4f8fPnzY+vXrZ3379rWFCxfa5s2bbdiwYVavXj0bOXKkW+bFF1+03Nzc8GO+/PJL69Spk/3kJz85w1sCAADOmoCiQNK4ceOY9y1ZssSFj0WLFllqaqq1a9fOsrKybP78+eGAkpaWFvWYpUuXWo0aNQgoAACcjQHl5MmTrsWiWbNmVr9+fTtd1KUzc+ZMy8jIsMGDB9vYsWMtJeXbTVi7dq317t3bhZNA//79bc6cOXbgwIGY6/Xkk0/a9ddfbzVr1iz0NY8fP+6myJYaOXHihJsAmOXl5YV/xvt9Ebx+vNfDt/0C+KA074MyBZS77rrLOnToYMOHD3fh5PLLL7c1a9a41og///nPrtajoo0ZM8a6dOniWkH0WhMnTrQ9e/a4FhLZu3evtWjRIuoxjRo1Ct+XP6Bs2LDBPvzwQxdSijJr1iybPn16gfkrVqxw2wvAbMeOHW43rF692r0vfbBy5cp4r4KX+wWIp5ycnNMbUF544QUbMmSI+//LL79su3btso8//tiefvppmzRpkr333nslep4JEya4Fo6ibN261dq0aWPjxo0Lz+vYsaNrKRk1apQLEFWrVi31NiiYKGR169atyOUUhCJfWy0oKsBVvUudOnVK/brA2Wjjxo3uZ8+ePa1z585xP0NTOLnyyiutSpUqcV0Xn/YL4IOgF+K0BZT9+/eHa0GWL1/uajguuugiV5SamZlZ4ucZP368DR06tMhlWrZsGXN+9+7dXbNpdna2tW7d2q3Pvn37opYJbuevWzl69KirP1HRbXEUfmIFIH3wxfvDD/BF0NWqn768L3x4j/q4X4B4Ks37oEwBRV0nW7ZssXPPPddee+01e/TRR8NNN+ecc06Jn6dhw4ZuKgsVwCYnJ1t6erq73aNHD9d6o7OnYAfoLErhJX/3zvPPP+/qSoJWIAAAcBZcB+VnP/uZXXfddda+fXt3HREN7ZX169e77piKpgLYBQsW2AcffGA7d+50I3ZUIKuAEYQPFc2q20d1MR999JE999xzrjUnsnsmsntn0KBB9p3vfKfC1xUAAJRfmVpQpk2b5sLJp59+6rp3gi4QtZ6orqSi6fnVJaPXVcuHimEVUCLDR926dV3h6ujRo61r167WoEEDmzJlSniIcWDbtm2uYE3LAgCAs2yY8bXXXht1++DBg3bzzTfb6aDRO+vWrSt2ORXPrlq1qshl1OUTCoUqcO0AAIAXXTwaeaMulIC6e9Rdcv7557vLzQMAAJzxgKJLyWuobVCIqunVV1+1q666yu6+++5yrRAAAECZunh04bMgoOjCbGpB0XVB9IV+Gv4LAABwxltQNHJGBbKiYcbBKB7VdujKsgAAAGe8BeXHP/6xG9Z74YUXum8Evvrqq8NXTbzgggvKtUIAAABlCigPP/yw685RK8rcuXOtVq1abr6+a+L2229nrwIAgDMfUHSl1ljFsLo2CQAAQFxqUERfDKgvwGrSpInt3r3bzdPVXl966aVyrxQAAKjcyhRQ9N07uoqrak90gbagMLZevXoupAAAAJzxgPKrX/3KHn/8cfflfJFfDvjd737XNm/eXK4VAgAAKFNA2bVrl3Xu3Dnmd+YcPXqUvQoAAM58QNGX9WVlZRWYr2uitG3btnxrBAAAKr0yjeJR/Ym+NfjYsWPu4mwbNmyw3//+9zZr1ix74oknKv1OBQAAcQgot9xyi1WvXt0mT55sOTk57qJtGs2TmZlp119/fTlXCQAAVHZlCihy4403ukkB5ciRI5aenl6xawYAACqtMgeUQI0aNdwEAAAQ1yLZffv22U033eS6dVJSUtxQ48gJAADgjLegDB061P7xj3/YfffdZ+eee64lJSWVayUAAADKHVBWr15tq1atsksuuaQsDwcAAKj4Lp6mTZu64cUAAADeBBR9386ECRMsOzu74tcIAABUemXq4vmP//gPN7y4VatWbgRPlSpVou7/6quvKv2OBQAAZzigPPzwwxTGAgAA/0bxAAAAeFWDomudfP755wXmf/nll1wHBQAAxCegFDaC5/jx45aamlredQIAAJVcqbp4fvnLX7qfujCbvrW4Vq1a4ftOnjxp7777rrVp06bi1xIAAFQqKaUtjg1aUBYuXBjVnaOWk+bNm7v5AAAAZyyg7Nq1y/3s06ePvfjii1a/fv1yvTgAAECF1aC89dZbZzycqHVGXUuR0+zZs6OW2bRpk/Xq1cuqVavmrnY7d+7cmBeZa926tVWvXt0tM3bsWDt27NgZ3BIAAFBhLSjjxo2zmTNnWs2aNd3/izJ//nw7HWbMmGEjRowI365du3b4/4cPH7Z+/fpZ3759XTfT5s2bbdiwYVavXj0bOXKkW+bZZ591V8BdtGiRXXrppfbJJ5+4IdMKO6drnQEAwGkMKBs3brSPP/7YOnfu7P5fmNP5zcYKJI0bN45535IlSyw3N9eFD9XDtGvXzrKyslzwCALKmjVr7LLLLrPBgweHW2VuuOEGW79+/WlbZwAAcBoDirp1VBS7Z88e9//gkvca2dOoUSM7E9Slo1acjIwMFzLUPZOS8u0mrF271nr37h01zLl///42Z84cO3DggOuSUqvJM888Yxs2bLBu3brZzp07bfny5XbTTTcV+poaOq0psqVGTpw44SYAZnl5eda4VpKlfrnVTvzjVNzXpW5OtuV9+jez///5EC+pX25z+0XrxOcFYKV6H6SU5/onr776qh09evSM7PMxY8ZYly5dLC0tzbWETJw40YWloGtm79691qJFi6jHBMFJ9ymgKNTs37/fevbs6bZFHxq33nqr/fznPy/0dWfNmmXTp08vMH/FihXue4gAmO3YscNGdU219u/dbvZefPeIvhnsCv1nW/x/M+3N3H5ZvXq1+7wCKrucnJwSL1uu04vCLthWUqoHUQtHUbZu3equrRJZ99KxY0fXUjJq1CgXIKpWrVqi13v77bftgQcesEceecS6d+9u27dvtzvvvNO1ytx3330xH6MgFPnaakFRca3qXerUqVPibQXOZur2/eHUXLt20pOuCD2edOKhblu9x4MW1njZtm2bPTbvJntpbk/XPQ5Udof/fy9ESZTq3RuMnsk/r6zGjx9f7Pf6tGzZMuZ8ffjogyg7O9t9IKo2Zd++fVHLBLeDuhWFEHXn3HLLLe52hw4dXAuQalQmTZpkyckFBzUp/MQKQPoG5/zf4gxUVgoCe4+ELPc7ba1KRpf4rsyJE3Zo8z5Lado17u/R3P3Jbr9o/8R7XQAflOZ9UOouHgWK4ICt4bnqItHInki6RkpJNGzY0E1loQJYBYr09HR3u0ePHi5kqH8r2AErV6504SUYEq2mpfwhJLjYXHlbgwAAQMUpVUC5+eabo24PGTLEzgQVwKrJVheI00ge3VaBrF4/CB+qL1GtyPDhw+3ee++1Dz/80DIzM8NXv5VrrrnG1ayoqTXo4lGriuZHXhUXAAAkUEB56qmnLB7UYrN06VKbNm2aG1GjYlgFlMjakLp167rC1dGjR1vXrl2tQYMGNmXKlPAQY5k8ebLrktLPf/7zn671RuHk/vvvj8t2AQCA2OJbQVZCGr2zbt26YpdT8eyqVasKvV/9wFOnTnUTAAA4yy51DwAAcDoRUAAAgHcSoosHQGJcfOn999+P96rYkSNH7J133nEF9LVq1Yrruug6TgDKhoACoNz0PV0S+WWe8RY5gi/eIr/YFEDJEFAAlNugQYPcT131Od5fAaFLDOiSCL/73e+sfXtdbD7+4eTCCy+M92oACYeAAqDcNKw/uEJzvOkK00FY0ghAAImJIlkAAOAdAgoAAPAOAQUAAHiHgAIAALxDQAEAAN4hoAAAAO8QUAAAgHcIKAAAwDsEFAAA4B0CCgAA8A4BBQAAeIeAAgAAvENAAQAA3iGgAAAA7xBQAACAdwgoAADAOwQUAADgHQIKAADwDgEFAAB4h4ACAAC8Q0ABAADeIaAAAADvEFAAAIB3EiagNG/e3JKSkqKm2bNnRy2zadMm69Wrl1WrVs2aNm1qc+fOjbr/xIkTNmPGDGvVqpVbplOnTvbaa6+d4S0BAADFSbEEonAxYsSI8O3atWuH/3/48GHr16+f9e3b1xYuXGibN2+2YcOGWb169WzkyJFumcmTJ9szzzxjjz/+uLVp08Zef/11+9GPfmRr1qyxzp07x2WbAABAggcUBZLGjRvHvG/JkiWWm5trixYtstTUVGvXrp1lZWXZ/PnzwwHl6aeftkmTJtmAAQPc7dtuu83eeOMNmzdvngsuAADADwkVUNSlM3PmTMvIyLDBgwfb2LFjLSXl201Yu3at9e7d24WTQP/+/W3OnDl24MABq1+/vh0/ftx17USqXr26rV69utDX1GM0RbbUBN1FmgD4JXhf8h4F/FOa42bCBJQxY8ZYly5dLC0tzXXJTJw40fbs2eNaSGTv3r3WokWLqMc0atQofJ8CigKLlleQUR3KX/7yF3vxxRft5MmThb7urFmzbPr06QXmr1ixwmrUqFHh2wmgfHbs2OF+rl+/3vbv38/uBDySk5NT4mWTQqFQyOJkwoQJroWjKFu3bnX1IvmpK2fUqFF25MgRq1q1qqs/UUB57LHHwsts2bLFdfXoZ9u2be2LL75wNSwvv/yyK7JVSFHNip7rm2++KXELigpw9cFXp06dcm0/gIq3YcMG69mzp2sZ7datG7sY8IiOoQ0aNLBDhw4VewyNawvK+PHjbejQoUUu07Jly5jzu3fvbnl5eZadnW2tW7d2tSn79u2LWia4HdStNGzY0JYtW2bHjh2zL7/80po0aeJCUmGvIQo/mvKrUqWKmwD4JXhf8h4F/FOa42ZcA4oCg6ayUAFscnKypaenu9s9evRwBbDq3wp2wMqVK114UfdOJNWhnHfeeW7ZP/7xj3bddddVwNYAAIBKdR0UFcAuWLDAPvjgA9u5c6cbsaMC2SFDhoTDh4pmVSA7fPhw++ijj+y5556zzMxMGzduXPh51CetmhM9x6pVq+yqq66yU6dO2T333BPHrQMAAAlZJKsulqVLl9q0adNcPYhqTRRQIsNH3bp1XeHq6NGjrWvXrq6Pa8qUKeEhxqKuHV0LRQGlVq1abrixhh7rWikAAMAfCRFQNHpn3bp1xS7XsWNH1zJSmMsvv9wVzAIAAL8lRBcPAACoXAgoAADAOwQUAADgHQIKAADwDgEFAAB4h4ACAAC8Q0ABAADeIaAAAADvEFAAAIB3CCgAAMA7BBQAAOAdAgoAAPAOAQUAAHiHgAIAALxDQAEAAN4hoAAAAO8QUAAAgHcIKAAAwDsEFAAA4B0CCgAA8A4BBQAAeIeAAgAAvENAAQAA3iGgAAAA7xBQAACAdwgoAADAOwQUAADgHQIKAADwDgEFAAB4J2ECSvPmzS0pKSlqmj17dvj+Y8eO2dChQ61Dhw6WkpJigwYNivk8b7/9tnXp0sWqVq1qF1xwgS1evPgMbgUAADirAorMmDHD9uzZE57uuOOO8H0nT5606tWr25gxY6xv374xH79r1y4bOHCg9enTx7Kysuyuu+6yW265xV5//fUzuBUAAKA4KZZAateubY0bN455X82aNe3RRx91/3/vvffs4MGDBZZZuHChtWjRwubNm+dut23b1lavXm0PP/yw9e/f/zSvPQAAOCsDirp0Zs6caRkZGTZ48GAbO3as684pqbVr1xZoXVEwUUtKYY4fP+6mwOHDh93PEydOuAmAX4L3Je9RwD+lOW4mTEBR141qR9LS0mzNmjU2ceJE180zf/78Ej/H3r17rVGjRlHzdFuh45tvvnFdRPnNmjXLpk+fXmD+ihUrrEaNGmXcGgCny44dO9zP9evX2/79+9nRgEdycnISI6BMmDDB5syZU+QyW7dutTZt2ti4cePC8zp27Gipqak2atQoFyBU8Hq6KAhFvrbCTNOmTa1fv35Wp06d0/a6AMpmw4YN7mf37t2tW7du7EbAI0EvhPcBZfz48W7kTVFatmwZc74+fPLy8iw7O9tat25dotdT/cq+ffui5um2gkas1hNR+IkVgKpUqeImAH4J3pe8RwH/lOa4GdeA0rBhQzeVhUbhJCcnW3p6eokf06NHD1u+fHnUvJUrV7r5AADAHwlRg6LiVvUna3iwRvLotgpkhwwZYvXr1w8vt2XLFsvNzbWvvvrKvv76axdi5JJLLnE/b731Vvv1r39t99xzjw0bNszefPNN+8Mf/mCvvPJK3LYNAAAkaEBRF8vSpUtt2rRpbkSNhgoroETWhsiAAQNs9+7d4dudO3d2P0OhkPupxymM6LGZmZl2/vnn2xNPPMEQYwAAPJMQAUWjd9atW1fscqpHKc4VV1xhGzdurKA1AwAAVtmvJAsAACoHAgoAAPAOAQUAAHiHgAIAALxDQAEAAN4hoAAAAO8QUAAAgHcIKAAAwDsEFAAA4B0CCgAA8A4BBQAAeIeAAgAAvENAAQAA3iGgAAAA7xBQAACAdwgoAADAOwQUAADgHQIKAADwDgEFAAB4h4ACAAC8Q0ABAADeIaAAAADvEFAAAIB3CCgAAMA7BBQAAOAdAgoAAPAOAQUAAHiHgAIAALxDQAEAAN5JmIDSvHlzS0pKippmz54dvv/YsWM2dOhQ69Chg6WkpNigQYMKPMeePXts8ODBdtFFF1lycrLdddddZ3grAADAWRVQZMaMGS5kBNMdd9wRvu/kyZNWvXp1GzNmjPXt2zfm448fP24NGza0yZMnW6dOnc7gmgMAgNJIsQRSu3Zta9y4ccz7atasaY8++qj7/3vvvWcHDx6M2QqTmZnp/r9o0aLTvLYAAKBSBBR16cycOdMyMjJcV83YsWNdd87ppFYXTYHDhw+7nydOnHATgIqRk5Nj27ZtK/fzfPjhh1E/y6N169ZWo0aNcj8PgG+V5riZMAFFXTddunSxtLQ0W7NmjU2cONF188yfP/+0vu6sWbNs+vTpBeavWLGCDy6gAu3YscPGjx9fYc83fPjwcj/HvHnzrFWrVhWyPgDMnYiUVFIoFArFa6dNmDDB5syZU+QyW7dutTZt2hSYry6aUaNG2ZEjR6xq1apR96lYVl08y5YtK/R5r7jiCrvkkktswYIFpW5Badq0qe3fv9/q1KlT5GMBnPkWlK+//tpeeeUVGzhwoOsWLg9aUICKpWNogwYN7NChQ8UeQ+PagqKzJYWJorRs2TLm/O7du1teXp5lZ2e7D5HTReEnfwCSKlWquAlAxahbt65169atQpqQdeLSu3dv3qOAZ0pz3IxrQNGIGk1lkZWV5YYKp6enV/h6AQCA+EqIGpS1a9fa+vXrrU+fPq7JVrdVIDtkyBCrX79+eLktW7ZYbm6uffXVV66ZVyFG1JUTCObpDOuLL75wt1NTU+3iiy+Ow5YBAADvalBK6v3337fbb7/dPv74Y1cP0qJFC7vpppts3LhxUd0vGka8e/fuAo+P3ERd4C2/Zs2aua6ikvafqSm6JP1nAM48dfEsX77cBgwYQBcP4JnSHEMTogVFo3fWrVtX7HIlCRkJkMcAAKj0EupKsgAAoHIgoAAAAO8QUAAAgHcIKAAAwDsEFAAA4B0CCgAA8E5CDDP2STBMOfhWYwD+XQdF3+uj9yhfRwH4JTh2luSSHwSUUtIVakVfGAgAAMp2LNUF2xL+SrI+OXXqlH322WfukvuxrkoLIL6Cbxz/9NNPudoz4BlFDoWTJk2auO/TKwoBBcBZha+jAM4OFMkCAADvEFAAAIB3CCgAzir6hvOpU6dGfdM5gMRDDQoAAPAOLSgAAMA7BBQAAOAdAgoAAPAOAQUAAHiHgALgrPDuu+/aNddc465Qqas8L1u2LN6rBKAcCCgAzgpHjx61Tp062W9+85t4rwqACsCXBQI4K1x99dVuAnB2oAUFAAB4h4ACAAC8Q0ABAADeIaAAAADvEFAAAIB3GMUD4Kxw5MgR2759e/j2rl27LCsry9LS0iwjIyOu6wag9Pg2YwBnhbffftv69OlTYP7NN99sixcvjss6ASg7AgoAAPAONSgAAMA7BBQAAOAdAgoAAPAOAQUAAHiHgAIAALxDQAEAAN4hoAAAAO8QUAAAgHcIKAAAwDsEFAAA4B0CCgAA8A4BBQAAmG/+HyI+mAd74lG2AAAAAElFTkSuQmCC", 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import pandas as pd\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# 20 runs avec mutation_prob=None (mutation par défaut)\n", - "n_runs = 20\n", - "fitness_list = []\n", - "time_list = []\n", - "\n", - "for i in range(n_runs):\n", - " res, _ = run_local_search(number_of_bits=512, max_evaluations=5000, mutation_prob=None, output_prefix=f'LS_run_{i+1}', verbose=False)\n", - " fitness_list.append(res['fitness'])\n", - " time_list.append(res['computing_time'])\n", - "\n", - "# Synthèse statistique\n", - "fitness_arr = np.array(fitness_list)\n", - "time_arr = np.array(time_list)\n", - "\n", - "summary = pd.DataFrame({\n", - " 'Statistique': ['Moyenne', 'Médiane', 'Écart type', 'Min', 'Max'],\n", - " 'Fitness': [np.mean(fitness_arr), np.median(fitness_arr), np.std(fitness_arr), np.min(fitness_arr), np.max(fitness_arr)],\n", - " 'Temps (s)': [np.mean(time_arr), np.median(time_arr), np.std(time_arr), np.min(time_arr), np.max(time_arr)]\n", - "})\n", - "\n", - "display(summary)\n", - "\n", - "# Boxplot des fitness sur 20 runs\n", - "plt.figure(figsize=(6,4))\n", - "plt.boxplot(fitness_list)\n", - "plt.title('Boxplot des fitness (20 runs)')\n", - "plt.ylabel('Fitness')\n", - "plt.grid(True)\n", - "plt.show()\n", - "\n", - "\n", - "# Affichage des courbes\n", - "plt.figure(figsize=(6,4))\n", - "plt.plot(range(1, n_runs+1), fitness_list, marker='o')\n", - "plt.title('Fitness par run')\n", - "plt.xlabel('Run')\n", - "plt.ylabel('Fitness')\n", - "plt.grid(True)\n", - "plt.show()\n", - "\n", - "plt.figure(figsize=(6,4))\n", - "plt.plot(range(1, n_runs+1), time_list, marker='s', color='orange')\n", - "plt.title('Temps de calcul par run')\n", - "plt.xlabel('Run')\n", - "plt.ylabel('Temps de calcul (s)')\n", - "plt.grid(True)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "4b22abcc", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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" - ], - "text/plain": [ - " mutation_prob mean_fitness median_fitness std_fitness mean_time_s\n", - "0 default -508.90 -509.0 1.577973 0.510811\n", - "1 0.25 -322.65 -322.5 4.315959 0.522417\n", - "2 0.5 -296.15 -296.0 2.868362 0.458187\n", - "3 0.75 -282.75 -281.5 4.646235 0.514491\n", - "4 1.0 -267.50 -269.0 5.445181 0.461597" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "C:\\Users\\HP\\AppData\\Local\\Temp\\ipykernel_6276\\461750082.py:36: MatplotlibDeprecationWarning:\n", - "\n", - "The 'labels' parameter of boxplot() has been renamed 'tick_labels' since Matplotlib 3.9; support for the old name will be dropped in 3.11.\n", - "\n" - ] - }, - { - "data": { - "image/png": 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", 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", 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import numpy as np\n", - "import pandas as pd\n", - "import matplotlib.pyplot as plt\n", - "\n", - "# Générations: commence par None (valeur par défaut) puis 0.25, 0.5, 0.75, 1.0\n", - "mutation_probs = [None, 0.25, 0.5, 0.75, 1.0]\n", - "n_runs_per_mp = 20\n", - "\n", - "# Collecte: une liste de listes (une sous-liste par génération)\n", - "fitness_results = []\n", - "time_results = []\n", - "\n", - "for mp in mutation_probs:\n", - " per_fitness = []\n", - " per_time = []\n", - " for r in range(n_runs_per_mp):\n", - " res, _ = run_local_search(number_of_bits=512, max_evaluations=5000, mutation_prob=mp, output_prefix=f'LS_gen_{str(mp)}_run{r+1}', verbose=False)\n", - " per_fitness.append(res['fitness'])\n", - " per_time.append(res['computing_time'])\n", - " fitness_results.append(per_fitness)\n", - " time_results.append(per_time)\n", - "\n", - "# Résumé (moyennes et médianes)\n", - "labels = [str(mp) if mp is not None else 'default' for mp in mutation_probs]\n", - "summary = pd.DataFrame({\n", - " 'mutation_prob': labels,\n", - " 'mean_fitness': [np.mean(x) for x in fitness_results],\n", - " 'median_fitness': [np.median(x) for x in fitness_results],\n", - " 'std_fitness': [np.std(x) for x in fitness_results],\n", - " 'mean_time_s': [np.mean(x) for x in time_results]\n", - "})\n", - "display(summary)\n", - "\n", - "# Boxplot des fitness: une boîte par génération (mutation_prob)\n", - "plt.figure(figsize=(8,5))\n", - "plt.boxplot(fitness_results, labels=labels)\n", - "plt.title('Boxplot des fitness par génération (mutation_prob)')\n", - "plt.xlabel('mutation_prob')\n", - "plt.ylabel('Fitness')\n", - "plt.grid(True)\n", - "plt.show()\n", - "\n", - "\n", - "# Courbes moyennes\n", - "x = range(len(mutation_probs))\n", - "plt.figure(figsize=(6,4))\n", - "plt.plot(x, [np.mean(xi) for xi in fitness_results], marker='o')\n", - "plt.xticks(x, labels)\n", - "plt.title('Fitness moyen en fonction de mutation_prob')\n", - "plt.xlabel('mutation_prob')\n", - "plt.ylabel('Fitness moyen')\n", - "plt.grid(True)\n", - "plt.show()\n", - "\n", - "plt.figure(figsize=(6,4))\n", - "plt.plot(x, [np.mean(xi) for xi in time_results], marker='s', color='orange')\n", - "plt.xticks(x, labels)\n", - "plt.title('Temps moyen en fonction de mutation_prob')\n", - "plt.xlabel('mutation_prob')\n", - "plt.ylabel('Temps moyen (s)')\n", - "plt.grid(True)\n", - "plt.show()" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": ".venv", - "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": "3.11.2" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/src/TP1_AG_Final.ipynb b/src/TP1_AG_Final.ipynb deleted file mode 100644 index 3e6e51e..0000000 --- a/src/TP1_AG_Final.ipynb +++ /dev/null @@ -1,1639 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# TP OneMax - Algorithme Génétique\n", - "\n", - "## Expérimentation de différentes configurations d'AG\n", - "\n", - "**Objectif :** Comparer 4 configurations d'algorithmes génétiques avec 20 runs chacune\n", - "\n", - "---" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 1. Imports" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "✓ Imports OK\n" - ] - } - ], - "source": [ - "# Installation si nécessaire : !pip install jmetalpy numpy pandas matplotlib\n", - "\n", - "from jmetal.algorithm.singleobjective.genetic_algorithm import GeneticAlgorithm\n", - "from jmetal.operator import BitFlipMutation, SPXCrossover\n", - "from jmetal.problem import OneMax\n", - "from jmetal.util.termination_criterion import StoppingByEvaluations\n", - "\n", - "import numpy as np\n", - "import pandas as pd\n", - "import matplotlib.pyplot as plt\n", - "import time\n", - "\n", - "%matplotlib inline\n", - "print(\"✓ Imports OK\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 2. Protocole expérimental\n", - "\n", - "### 2.1 Paramètres communs" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Tableau 1 : Paramètres communs aux algorithmes génétiques\n", - "============================================================\n" - ] - }, - { - "data": { - "text/html": [ - "
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ParamètreValeur
0Taille du problème512
1Nombre d'évaluations5000
2Nombre de runs20
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" - ], - "text/plain": [ - " Paramètre Valeur\n", - "0 Taille du problème 512\n", - "1 Nombre d'évaluations 5000\n", - "2 Nombre de runs 20" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Tableau 1 : Paramètres communs aux algorithmes génétiques\n", - "common_params = pd.DataFrame({\n", - " 'Paramètre': ['Taille du problème', 'Nombre d\\'évaluations', 'Nombre de runs'],\n", - " 'Valeur': [512, 5000, 20]\n", - "})\n", - "\n", - "print(\"Tableau 1 : Paramètres communs aux algorithmes génétiques\")\n", - "print(\"=\"*60)\n", - "display(common_params)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### 2.2 Configurations des algorithmes génétiques testés" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Tableau 2 : Paramètres des algorithmes génétiques\n", - "============================================================\n", - "\n", - "Variations testées :\n", - " AG1 : Configuration de référence (baseline)\n", - " AG2 : Population doublée (40 → 80) - Impact de la POPULATION\n", - " AG3 : Mutation quadruplée (1/512 → 1/128) - Impact de la MUTATION\n", - " AG4 : Croisement divisé par 2 (1.0 → 0.5) - Impact du CROISEMENT\n", - "\n" - ] - }, - { - "data": { - "text/html": [ - "
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ParamètreAG1 (Baseline)AG2 (Pop×2)AG3 (Mut×4)AG4 (Cross÷2)
0Taille de population40804040
1Taille population enfant40804040
2Probabilité de mutation1/5121/5121/1281/512
3Probabilité de croisement1.01.01.00.5
\n", - "
" - ], - "text/plain": [ - " Paramètre AG1 (Baseline) AG2 (Pop×2) AG3 (Mut×4) \\\n", - "0 Taille de population 40 80 40 \n", - "1 Taille population enfant 40 80 40 \n", - "2 Probabilité de mutation 1/512 1/512 1/128 \n", - "3 Probabilité de croisement 1.0 1.0 1.0 \n", - "\n", - " AG4 (Cross÷2) \n", - "0 40 \n", - "1 40 \n", - "2 1/512 \n", - "3 0.5 " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Tableau 2 : Paramètres des algorithmes génétiques\n", - "# AG1 = Baseline (référence)\n", - "# AG2 = Variation POPULATION (on double)\n", - "# AG3 = Variation MUTATION (on multiplie par 4)\n", - "# AG4 = Variation CROISEMENT (on divise par 2)\n", - "\n", - "ag_configs = pd.DataFrame({\n", - " 'Paramètre': [\n", - " 'Taille de population',\n", - " 'Taille population enfant',\n", - " 'Probabilité de mutation',\n", - " 'Probabilité de croisement'\n", - " ],\n", - " 'AG1 (Baseline)': [40, 40, '1/512', 1.0],\n", - " 'AG2 (Pop×2)': [80, 80, '1/512', 1.0],\n", - " 'AG3 (Mut×4)': [40, 40, '1/128', 1.0],\n", - " 'AG4 (Cross÷2)': [40, 40, '1/512', 0.5]\n", - "})\n", - "\n", - "print(\"Tableau 2 : Paramètres des algorithmes génétiques\")\n", - "print(\"=\"*60)\n", - "print(\"\\nVariations testées :\")\n", - "print(\" AG1 : Configuration de référence (baseline)\")\n", - "print(\" AG2 : Population doublée (40 → 80) - Impact de la POPULATION\")\n", - "print(\" AG3 : Mutation quadruplée (1/512 → 1/128) - Impact de la MUTATION\")\n", - "print(\" AG4 : Croisement divisé par 2 (1.0 → 0.5) - Impact du CROISEMENT\")\n", - "print()\n", - "display(ag_configs)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 3. Fonction d'exécution de l'AG" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "✓ Fonction définie\n" - ] - } - ], - "source": [ - "def run_genetic_algorithm(population_size, offspring_population_size, \n", - " mutation_probability, crossover_probability,\n", - " number_of_bits=512, max_evaluations=5000):\n", - " \"\"\"\n", - " Exécute un algorithme génétique avec les paramètres spécifiés.\n", - " \n", - " Returns:\n", - " dict: {'fitness': float, 'time': float}\n", - " \"\"\"\n", - " problem = OneMax(number_of_bits=number_of_bits)\n", - " \n", - " algorithm = GeneticAlgorithm(\n", - " problem=problem,\n", - " population_size=population_size,\n", - " offspring_population_size=offspring_population_size,\n", - " mutation=BitFlipMutation(mutation_probability),\n", - " crossover=SPXCrossover(crossover_probability),\n", - " termination_criterion=StoppingByEvaluations(max_evaluations=max_evaluations)\n", - " )\n", - " \n", - " algorithm.run()\n", - " result = algorithm.solutions[0]\n", - " \n", - " return {\n", - " 'fitness': - result.objectives[0],\n", - " 'time': algorithm.total_computing_time\n", - " }\n", - "\n", - "print(\"✓ Fonction définie\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 4. Exécution des 20 runs pour chaque configuration" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:25:53,582] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:25:53,593] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:25:53,594] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:25:53,595] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Démarrage des expérimentations...\n", - "============================================================\n", - "\n", - "Objectif : Observer l'impact de chaque paramètre\n", - " - AG1 : Référence\n", - " - AG2 : Impact de la POPULATION (×2)\n", - " - AG3 : Impact de la MUTATION (×4)\n", - " - AG4 : Impact du CROISEMENT (÷2)\n", - "\n", - "============================================================\n", - "\n", - "AG1 (Baseline)\n", - "(Configuration de référence)\n", - "------------------------------------------------------------\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:25:54,441] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:25:54,442] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:25:54,451] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:25:54,451] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:25:54,452] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:25:55,299] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:25:55,299] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:25:55,308] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:25:55,309] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:25:55,309] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:25:56,158] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:25:56,159] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:25:56,168] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:25:56,168] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:25:56,169] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:25:57,009] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:25:57,010] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:25:57,018] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:25:57,019] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:25:57,020] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:25:57,855] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:25:57,856] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:25:57,865] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:25:57,865] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:25:57,866] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 5/20 - Fitness: 441\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:25:58,706] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:25:58,707] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:25:58,716] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:25:58,716] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:25:58,716] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:25:59,551] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:25:59,552] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:25:59,561] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:25:59,562] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:25:59,562] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:00,398] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:00,398] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:00,408] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:00,408] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:00,409] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:01,239] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:01,240] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:01,249] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:01,250] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:01,250] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:02,076] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:02,076] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:02,085] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:02,086] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:02,086] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 10/20 - Fitness: 440\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:02,914] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:02,914] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:02,923] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:02,924] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:02,925] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:03,753] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:03,753] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:03,762] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:03,763] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:03,764] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:04,584] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:04,585] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:04,594] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:04,595] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:04,595] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:05,420] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:05,421] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:05,430] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:05,431] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:05,431] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:06,283] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:06,284] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:06,293] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:06,294] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:06,295] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 15/20 - Fitness: 439\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:07,136] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:07,137] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:07,147] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:07,147] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - 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"[2026-01-20 15:26:09,731] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:09,732] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:09,741] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:09,742] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:09,742] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:10,571] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:10,572] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:10,589] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:10,590] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:10,591] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 20/20 - Fitness: 443\n", - " → Moyenne: 439.70 ± 5.09\n", - " → Temps moyen: 0.849s\n", - "\n", - "AG2 (Pop×2)\n", - "(Population doublée - Test impact POPULATION)\n", - "------------------------------------------------------------\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:11,413] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:11,413] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:11,430] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:11,432] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:11,432] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:12,209] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:12,210] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:12,227] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - 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"[2026-01-20 15:26:13,818] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:14,599] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:14,599] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:14,617] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:14,618] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:14,618] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 5/20 - Fitness: 410\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:15,393] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:15,393] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:15,411] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:15,412] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:15,412] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:16,184] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:16,185] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:16,202] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:16,203] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:16,203] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:17,021] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:17,021] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:17,039] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:17,040] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:17,041] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:17,850] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:17,850] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:17,867] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:17,869] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:17,869] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:18,648] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:18,649] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:18,666] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:18,667] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:18,668] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 10/20 - Fitness: 407\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:19,470] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:19,471] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:19,488] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:19,490] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:19,490] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:20,293] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:20,294] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:20,310] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:20,311] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:20,311] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:21,154] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:21,155] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:21,172] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:21,173] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:21,174] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:22,048] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:22,049] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:22,067] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:22,068] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:22,068] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:22,931] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:22,932] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:22,950] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:22,951] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:22,952] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 15/20 - Fitness: 406\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:23,795] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:23,796] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:23,814] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:23,815] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:23,816] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:24,656] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:24,657] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:24,675] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:24,676] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:24,676] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:25,517] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:25,518] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:25,536] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:25,538] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:25,538] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:26,387] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:26,388] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:26,406] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:26,407] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:26,408] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:27,258] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:27,258] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:27,267] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:27,268] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:27,269] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 20/20 - Fitness: 403\n", - " → Moyenne: 403.25 ± 4.59\n", - " → Temps moyen: 0.834s\n", - "\n", - "AG3 (Mut×4)\n", - "(Mutation quadruplée - Test impact MUTATION)\n", - "------------------------------------------------------------\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:28,112] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:28,113] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:28,122] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:28,123] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:28,123] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:28,978] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:28,979] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:28,988] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:28,989] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:28,990] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:29,837] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:29,838] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:29,847] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:29,848] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:29,848] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:30,691] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:30,691] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:30,700] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:30,701] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:30,701] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:31,547] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:31,547] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:31,557] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:31,558] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:31,558] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 5/20 - Fitness: 446\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:32,389] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:32,390] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:32,399] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:32,399] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:32,400] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:33,240] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:33,241] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:33,250] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:33,251] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:33,251] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:34,092] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:34,093] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:34,101] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:34,102] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:34,103] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:34,940] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:34,941] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:34,950] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:34,950] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:34,951] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:35,776] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:35,776] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:35,785] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:35,786] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:35,787] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 10/20 - Fitness: 452\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:36,613] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:36,613] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:36,623] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:36,623] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:36,624] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:37,457] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:37,457] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:37,466] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:37,467] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:37,467] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:38,305] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:38,305] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:38,314] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:38,315] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:38,315] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:39,150] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:39,150] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:39,159] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:39,160] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:39,160] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:39,987] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:39,988] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:39,997] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:39,998] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:39,998] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 15/20 - Fitness: 448\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:40,782] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:40,783] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:40,792] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:40,792] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:40,793] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:41,581] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:41,581] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:41,590] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:41,591] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:41,591] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:42,410] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:42,410] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:42,419] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:42,420] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:42,420] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:43,232] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:43,232] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:43,241] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:43,242] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:43,242] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:44,019] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:44,020] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:44,029] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:44,030] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:44,030] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 20/20 - Fitness: 445\n", - " → Moyenne: 450.25 ± 4.02\n", - " → Temps moyen: 0.838s\n", - "\n", - "AG4 (Cross÷2)\n", - "(Croisement divisé par 2 - Test impact CROISEMENT)\n", - "------------------------------------------------------------\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:44,790] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:44,790] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:44,799] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:44,800] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:44,800] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:45,578] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:45,578] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:45,586] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:45,587] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:45,587] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:46,344] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:46,344] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:46,352] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:46,353] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:46,353] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:47,114] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:47,115] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:47,124] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:47,124] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:47,125] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:47,891] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:47,892] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:47,900] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:47,901] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:47,901] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 5/20 - Fitness: 427\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:48,713] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:48,713] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:48,722] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:48,723] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:48,723] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:49,502] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:49,502] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:49,511] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:49,512] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:49,512] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:50,304] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:50,305] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:50,314] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:50,315] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:50,315] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:51,107] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:51,107] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:51,115] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:51,116] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:51,116] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:51,888] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:51,888] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:51,897] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:51,897] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:51,898] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 10/20 - Fitness: 415\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:52,665] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:52,665] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:52,674] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:52,674] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:52,675] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:53,452] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:53,452] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:53,461] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:53,461] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:53,462] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:54,234] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:54,234] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:54,243] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:54,244] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:54,244] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:55,011] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:55,012] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:55,020] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:55,021] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:55,021] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:55,797] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:55,798] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:55,806] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:55,807] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:55,807] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 15/20 - Fitness: 416\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "[2026-01-20 15:26:56,580] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:56,580] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:56,589] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:56,590] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:56,590] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:57,363] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:57,363] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:57,372] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:57,373] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:57,373] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:58,152] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:58,152] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:58,161] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:58,161] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:58,162] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:58,929] [jmetal.core.algorithm] [DEBUG] Finished!\n", - "[2026-01-20 15:26:58,929] [jmetal.core.algorithm] [DEBUG] Creating initial set of solutions...\n", - "[2026-01-20 15:26:58,937] [jmetal.core.algorithm] [DEBUG] Evaluating solutions...\n", - "[2026-01-20 15:26:58,938] [jmetal.core.algorithm] [DEBUG] Initializing progress...\n", - "[2026-01-20 15:26:58,938] [jmetal.core.algorithm] [DEBUG] Running main loop until termination criteria is met\n", - "[2026-01-20 15:26:59,704] [jmetal.core.algorithm] [DEBUG] Finished!\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - " Run 20/20 - Fitness: 421\n", - " → Moyenne: 418.80 ± 4.47\n", - " → Temps moyen: 0.784s\n", - "\n", - "============================================================\n", - "✓ Toutes les expérimentations terminées!\n" - ] - } - ], - "source": [ - "# Définition des 4 configurations avec variations marquées\n", - "configurations = {\n", - " 'AG1': {\n", - " 'name': 'AG1 (Baseline)',\n", - " 'population_size': 40,\n", - " 'offspring_population_size': 40,\n", - " 'mutation_probability': 1/512,\n", - " 'crossover_probability': 1.0,\n", - " 'description': 'Configuration de référence'\n", - " },\n", - " 'AG2': {\n", - " 'name': 'AG2 (Pop×2)',\n", - " 'population_size': 80,\n", - " 'offspring_population_size': 80,\n", - " 'mutation_probability': 1/512,\n", - " 'crossover_probability': 1.0,\n", - " 'description': 'Population doublée - Test impact POPULATION'\n", - " },\n", - " 'AG3': {\n", - " 'name': 'AG3 (Mut×4)',\n", - " 'population_size': 40,\n", - " 'offspring_population_size': 40,\n", - " 'mutation_probability': 1/128,\n", - " 'crossover_probability': 1.0,\n", - " 'description': 'Mutation quadruplée - Test impact MUTATION'\n", - " },\n", - " 'AG4': {\n", - " 'name': 'AG4 (Cross÷2)',\n", - " 'population_size': 40,\n", - " 'offspring_population_size': 40,\n", - " 'mutation_probability': 1/512,\n", - " 'crossover_probability': 0.5,\n", - " 'description': 'Croisement divisé par 2 - Test impact CROISEMENT'\n", - " }\n", - "}\n", - "\n", - "# Stockage des résultats\n", - "results = {}\n", - "n_runs = 20\n", - "\n", - "print(\"Démarrage des expérimentations...\")\n", - "print(\"=\"*60)\n", - "print(\"\\nObjectif : Observer l'impact de chaque paramètre\")\n", - "print(\" - AG1 : Référence\")\n", - "print(\" - AG2 : Impact de la POPULATION (×2)\")\n", - "print(\" - AG3 : Impact de la MUTATION (×4)\")\n", - "print(\" - AG4 : Impact du CROISEMENT (÷2)\")\n", - "print(\"\\n\" + \"=\"*60)\n", - "\n", - "for config_name, config_params in configurations.items():\n", - " print(f\"\\n{config_params['name']}\")\n", - " print(f\"({config_params['description']})\")\n", - " print(\"-\"*60)\n", - " \n", - " fitness_values = []\n", - " time_values = []\n", - " \n", - " for run in range(n_runs):\n", - " result = run_genetic_algorithm(\n", - " population_size=config_params['population_size'],\n", - " offspring_population_size=config_params['offspring_population_size'],\n", - " mutation_probability=config_params['mutation_probability'],\n", - " crossover_probability=config_params['crossover_probability']\n", - " )\n", - " \n", - " fitness_values.append(result['fitness'])\n", - " time_values.append(result['time'])\n", - " \n", - " if (run + 1) % 5 == 0:\n", - " print(f\" Run {run+1}/{n_runs} - Fitness: {result['fitness']:.0f}\")\n", - " \n", - " # Calcul des statistiques\n", - " results[config_name] = {\n", - " 'name': config_params['name'],\n", - " 'fitness_values': fitness_values,\n", - " 'time_values': time_values,\n", - " 'mean': np.mean(fitness_values),\n", - " 'median': np.median(fitness_values),\n", - " 'std': np.std(fitness_values),\n", - " 'min': np.min(fitness_values),\n", - " 'max': np.max(fitness_values),\n", - " 'time_mean': np.mean(time_values),\n", - " 'time_std': np.std(time_values)\n", - " }\n", - " \n", - " print(f\" → Moyenne: {results[config_name]['mean']:.2f} ± {results[config_name]['std']:.2f}\")\n", - " print(f\" → Temps moyen: {results[config_name]['time_mean']:.3f}s\")\n", - "\n", - "print(\"\\n\" + \"=\"*60)\n", - "print(\"✓ Toutes les expérimentations terminées!\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 5. Résultats\n", - "\n", - "### 5.1 Tableau de synthèse des résultats" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Tableau 3 : Comparaison des algorithmes génétiques\n", - "(20 runs par configuration)\n", - "================================================================================\n" - ] - }, - { - "data": { - "text/html": [ - "
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ConfigurationMoyenneMédianeÉcart-typeMinMaxTemps (s)
0AG1 (Baseline)439.70439.505.094284490.849
1AG2 (Pop×2)403.25402.004.593924130.834
2AG3 (Mut×4)450.25450.504.024444590.838
3AG4 (Cross÷2)418.80418.504.474094270.784
\n", - "
" - ], - "text/plain": [ - " Configuration Moyenne Médiane Écart-type Min Max Temps (s)\n", - "0 AG1 (Baseline) 439.70 439.50 5.09 428 449 0.849\n", - "1 AG2 (Pop×2) 403.25 402.00 4.59 392 413 0.834\n", - "2 AG3 (Mut×4) 450.25 450.50 4.02 444 459 0.838\n", - "3 AG4 (Cross÷2) 418.80 418.50 4.47 409 427 0.784" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "✓ Meilleure configuration (moyenne) : AG3 (Mut×4) (450.25)\n" - ] - } - ], - "source": [ - "# Tableau 3 : Comparaison des algorithmes génétiques\n", - "summary_data = []\n", - "for config_name in ['AG1', 'AG2', 'AG3', 'AG4']:\n", - " r = results[config_name]\n", - " summary_data.append({\n", - " 'Configuration': r['name'],\n", - " 'Moyenne': f\"{r['mean']:.2f}\",\n", - " 'Médiane': f\"{r['median']:.2f}\",\n", - " 'Écart-type': f\"{r['std']:.2f}\",\n", - " 'Min': f\"{r['min']:.0f}\",\n", - " 'Max': f\"{r['max']:.0f}\",\n", - " 'Temps (s)': f\"{r['time_mean']:.3f}\"\n", - " })\n", - "\n", - "summary_df = pd.DataFrame(summary_data)\n", - "\n", - "print(\"Tableau 3 : Comparaison des algorithmes génétiques\")\n", - "print(\"(20 runs par configuration)\")\n", - "print(\"=\"*80)\n", - "display(summary_df)\n", - "\n", - "# Identifier le meilleur\n", - "best_config = max(results.items(), key=lambda x: x[1]['mean'])\n", - "print(f\"\\n✓ Meilleure configuration (moyenne) : {best_config[1]['name']} ({best_config[1]['mean']:.2f})\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### 5.2 Détails des temps de calcul pour chaque run" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Tableau 4 : Temps de calcul de chaque run (en secondes)\n", - "================================================================================\n" - ] - }, - { - "data": { - "text/html": [ - "
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RunAG1AG2AG3AG4
010.8590.8410.8540.770
120.8570.7970.8660.788
230.8600.7920.8590.766
340.8510.7960.8530.770
450.8460.8010.8560.777
560.8510.7940.8420.822
670.8450.7910.8510.789
780.8460.8370.8520.803
890.8420.8290.8480.802
9100.8360.7980.8350.781
\n", - "
" - ], - "text/plain": [ - " Run AG1 AG2 AG3 AG4\n", - "0 1 0.859 0.841 0.854 0.770\n", - "1 2 0.857 0.797 0.866 0.788\n", - "2 3 0.860 0.792 0.859 0.766\n", - "3 4 0.851 0.796 0.853 0.770\n", - "4 5 0.846 0.801 0.856 0.777\n", - "5 6 0.851 0.794 0.842 0.822\n", - "6 7 0.845 0.791 0.851 0.789\n", - "7 8 0.846 0.837 0.852 0.803\n", - "8 9 0.842 0.829 0.848 0.802\n", - "9 10 0.836 0.798 0.835 0.781" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "... (10 premiers runs affichés sur 20)\n" - ] - } - ], - "source": [ - "# Affichage détaillé des temps de calcul\n", - "print(\"Tableau 4 : Temps de calcul de chaque run (en secondes)\")\n", - "print(\"=\"*80)\n", - "\n", - "time_details = pd.DataFrame({\n", - " 'Run': range(1, n_runs + 1),\n", - " 'AG1': [f\"{t:.3f}\" for t in results['AG1']['time_values']],\n", - " 'AG2': [f\"{t:.3f}\" for t in results['AG2']['time_values']],\n", - " 'AG3': [f\"{t:.3f}\" for t in results['AG3']['time_values']],\n", - " 'AG4': [f\"{t:.3f}\" for t in results['AG4']['time_values']]\n", - "})\n", - "\n", - "display(time_details.head(10)) # Afficher les 10 premiers runs\n", - "print(\"\\n... (10 premiers runs affichés sur 20)\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### 5.3 Boxplot de comparaison des 4 configurations" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Figure 1 : Boxplot de comparaison des algorithmes\n", - "fig, ax = plt.subplots(figsize=(14, 7))\n", - "\n", - "# Préparation des données pour le boxplot\n", - "data_for_boxplot = [\n", - " results['AG1']['fitness_values'],\n", - " results['AG2']['fitness_values'],\n", - " results['AG3']['fitness_values'],\n", - " results['AG4']['fitness_values']\n", - "]\n", - "\n", - "labels = [\n", - " 'AG1\\n(Baseline)\\nPop=40\\nMut=1/512\\nCross=1.0',\n", - " 'AG2\\n(Pop×2)\\nPop=80\\nMut=1/512\\nCross=1.0',\n", - " 'AG3\\n(Mut×4)\\nPop=40\\nMut=1/128\\nCross=1.0',\n", - " 'AG4\\n(Cross÷2)\\nPop=40\\nMut=1/512\\nCross=0.5'\n", - "]\n", - "\n", - "# Création du boxplot\n", - "bp = ax.boxplot(data_for_boxplot, labels=labels, patch_artist=True, widths=0.6)\n", - "\n", - "# Coloration des boîtes\n", - "colors = ['lightblue', 'lightgreen', 'lightcoral', 'lightyellow']\n", - "for patch, color in zip(bp['boxes'], colors):\n", - " patch.set_facecolor(color)\n", - " patch.set_alpha(0.7)\n", - "\n", - "# Mise en forme\n", - "ax.set_ylabel('Fitness (nombre de bits à 1)', fontsize=13, fontweight='bold')\n", - "ax.set_xlabel('Configuration', fontsize=13, fontweight='bold')\n", - "ax.set_title('Figure 1 : Comparaison des 4 configurations d\\'algorithmes génétiques\\n' + \n", - " '(20 runs par configuration - 5000 évaluations par run)', \n", - " fontsize=14, fontweight='bold', pad=20)\n", - "ax.grid(True, alpha=0.3, axis='y')\n", - "\n", - "# Ligne de référence pour l'optimal\n", - "ax.axhline(y=512, color='red', linestyle='--', linewidth=2, alpha=0.5, label='Optimal (512)')\n", - "\n", - "# Ajout des moyennes\n", - "means = [results[f'AG{i+1}']['mean'] for i in range(4)]\n", - "ax.plot(range(1, 5), means, 'D', color='darkred', markersize=10, label='Moyenne', zorder=3)\n", - "\n", - "ax.legend(fontsize=11, loc='lower right')\n", - "\n", - "plt.tight_layout()\n", - "plt.show()\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### 5.4 Graphiques complémentaires" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Graphiques complémentaires générés\n", - "\n", - "Comparaison baseline (AG1) vs variations :\n", - " AG2 (Pop×2) : -36.45 points\n", - " AG3 (Mut×4) : +10.55 points\n", - " AG4 (Cross÷2) : -20.90 points\n" - ] - } - ], - "source": [ - "# Graphiques complémentaires : Moyenne + Temps\n", - "fig, axes = plt.subplots(1, 2, figsize=(16, 5))\n", - "\n", - "# Graphique 1 : Barres des moyennes avec écart-type\n", - "configs = ['AG1', 'AG2', 'AG3', 'AG4']\n", - "means = [results[c]['mean'] for c in configs]\n", - "stds = [results[c]['std'] for c in configs]\n", - "x_pos = np.arange(len(configs))\n", - "\n", - "axes[0].bar(x_pos, means, yerr=stds, capsize=5, alpha=0.7, \n", - " color=['lightblue', 'lightgreen', 'lightcoral', 'lightyellow'],\n", - " edgecolor='black', linewidth=1.5)\n", - "axes[0].set_xticks(x_pos)\n", - "axes[0].set_xticklabels(['AG1\\n(Baseline)', 'AG2\\n(Pop×2)', \n", - " 'AG3\\n(Mut×4)', 'AG4\\n(Cross÷2)'])\n", - "axes[0].set_ylabel('Fitness moyenne', fontsize=12, fontweight='bold')\n", - "axes[0].set_title('Fitness moyenne par configuration', fontsize=13, fontweight='bold')\n", - "axes[0].axhline(y=512, color='r', linestyle='--', alpha=0.5, label='Optimal')\n", - "axes[0].grid(True, alpha=0.3, axis='y')\n", - "axes[0].legend()\n", - "\n", - "# Ajout des valeurs sur les barres\n", - "for i, (m, s) in enumerate(zip(means, stds)):\n", - " axes[0].text(i, m + s + 2, f'{m:.1f}', ha='center', fontsize=10, fontweight='bold')\n", - "\n", - "# Graphique 2 : Temps de calcul moyen\n", - "times = [results[c]['time_mean'] for c in configs]\n", - "time_stds = [results[c]['time_std'] for c in configs]\n", - "\n", - "axes[1].bar(x_pos, times, yerr=time_stds, capsize=5, alpha=0.7,\n", - " color=['lightblue', 'lightgreen', 'lightcoral', 'lightyellow'],\n", - " edgecolor='black', linewidth=1.5)\n", - "axes[1].set_xticks(x_pos)\n", - "axes[1].set_xticklabels(['AG1\\n(Baseline)', 'AG2\\n(Pop×2)', \n", - " 'AG3\\n(Mut×4)', 'AG4\\n(Cross÷2)'])\n", - "axes[1].set_ylabel('Temps moyen (s)', fontsize=12, fontweight='bold')\n", - "axes[1].set_title('Temps de calcul moyen par configuration', fontsize=13, fontweight='bold')\n", - "axes[1].grid(True, alpha=0.3, axis='y')\n", - "\n", - "# Ajout des valeurs sur les barres\n", - "for i, (t, ts) in enumerate(zip(times, time_stds)):\n", - " axes[1].text(i, t + ts + 0.02, f'{t:.3f}s', ha='center', fontsize=10, fontweight='bold')\n", - "\n", - "plt.tight_layout()\n", - "plt.show()\n", - "\n", - "print(\"\\nGraphiques complémentaires générés\")\n", - "print(\"\\nComparaison baseline (AG1) vs variations :\")\n", - "print(f\" AG2 (Pop×2) : {results['AG2']['mean'] - results['AG1']['mean']:+.2f} points\")\n", - "print(f\" AG3 (Mut×4) : {results['AG3']['mean'] - results['AG1']['mean']:+.2f} points\")\n", - "print(f\" AG4 (Cross÷2) : {results['AG4']['mean'] - results['AG1']['mean']:+.2f} points\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## 7. Export des résultats" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# Export du tableau de synthèse\n", - "summary_df.to_csv('resultats_AG_synthese.csv', index=False)\n", - "\n", - "# Export des résultats détaillés\n", - "detailed_results = []\n", - "for config in ['AG1', 'AG2', 'AG3', 'AG4']:\n", - " for run in range(n_runs):\n", - " detailed_results.append({\n", - " 'Configuration': results[config]['name'],\n", - " 'Run': run + 1,\n", - " 'Fitness': results[config]['fitness_values'][run],\n", - " 'Temps': results[config]['time_values'][run]\n", - " })\n", - "\n", - "detailed_df = pd.DataFrame(detailed_results)\n", - "detailed_df.to_csv('resultats_AG_detailles.csv', index=False)\n", - "\n", - "print(\"✓ Résultats exportés :\")\n", - "print(\" - resultats_AG_synthese.csv\")\n", - "print(\" - resultats_AG_detailles.csv\")" - ] - } - ], - "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": "3.12.3" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/src/best_config_SIMPLE.ipynb b/src/best_config_SIMPLE.ipynb new file mode 100644 index 0000000..56d62ae --- /dev/null +++ b/src/best_config_SIMPLE.ipynb @@ -0,0 +1,961 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Comparaison AG3 vs Recherche Locale\n", + "## TP OneMax - Analyse des meilleures configurations" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "✓ Configuration :\n", + " - Problème : OneMax 512 bits\n", + " - Budget : 5000 évaluations\n", + " - Runs : 20 par algorithme\n" + ] + } + ], + "source": [ + "# 1. IMPORTS ET PARAMÈTRES\n", + "from jmetal.algorithm.singleobjective.genetic_algorithm import GeneticAlgorithm\n", + "from jmetal.algorithm.singleobjective.local_search import LocalSearch\n", + "from jmetal.operator.mutation import BitFlipMutation\n", + "from jmetal.operator.crossover import SPXCrossover\n", + "from jmetal.problem import OneMax\n", + "from jmetal.util.termination_criterion import StoppingByEvaluations\n", + "\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import time\n", + "from tqdm import tqdm\n", + "from matplotlib.lines import Line2D\n", + "\n", + "%matplotlib inline\n", + "\n", + "# Paramètres communs\n", + "n_bits = 512\n", + "max_evaluations = 5000\n", + "n_runs = 20\n", + "\n", + "print(\"✓ Configuration :\")\n", + "print(f\" - Problème : OneMax {n_bits} bits\")\n", + "print(f\" - Budget : {max_evaluations} évaluations\")\n", + "print(f\" - Runs : {n_runs} par algorithme\")" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "============================================================\n", + "DÉFINITION DES FONCTIONS AVEC SUIVI DE LA FITNESS COURANTE\n", + "============================================================\n", + "✓ Fonctions avec suivi de la fitness courante définies\n" + ] + } + ], + "source": [ + "# 2. FONCTIONS AVEC SUIVI DE LA FITNESS COURANTE\n", + "print(\"=\"*60)\n", + "print(\"DÉFINITION DES FONCTIONS AVEC SUIVI DE LA FITNESS COURANTE\")\n", + "print(\"=\"*60)\n", + "\n", + "def run_ag3_current_fitness():\n", + " \"\"\"Exécute AG3 avec suivi de la fitness courante à chaque évaluation\"\"\"\n", + " problem = OneMax(number_of_bits=n_bits)\n", + " \n", + " # Variables pour le suivi\n", + " current_history = [] # Fitness courante à chaque évaluation\n", + " evaluations_count = 0\n", + " \n", + " # Créer l'algorithme\n", + " algorithm = GeneticAlgorithm(\n", + " problem=problem,\n", + " population_size=40,\n", + " offspring_population_size=40,\n", + " mutation=BitFlipMutation(1/128),\n", + " crossover=SPXCrossover(1.0),\n", + " termination_criterion=StoppingByEvaluations(max_evaluations)\n", + " )\n", + " \n", + " # Surcharger la méthode evaluate pour suivre manuellement\n", + " original_evaluate = algorithm.evaluate\n", + " \n", + " def tracked_evaluate(population):\n", + " nonlocal evaluations_count, current_history\n", + " \n", + " # Évaluation normale\n", + " result = original_evaluate(population)\n", + " \n", + " # Suivre la fitness de la meilleure solution courante\n", + " current_best = None\n", + " if algorithm.solutions:\n", + " for solution in algorithm.solutions:\n", + " if current_best is None or solution.objectives[0] > current_best:\n", + " current_best = solution.objectives[0]\n", + " \n", + " # Enregistrer la fitness courante\n", + " if current_best is not None:\n", + " # Pour chaque individu évalué dans la population\n", + " # On enregistre la meilleure fitness courante\n", + " evaluations_count += len(population)\n", + " current_history.append(current_best)\n", + " \n", + " return result\n", + " \n", + " # Remplacer la méthode d'évaluation\n", + " algorithm.evaluate = tracked_evaluate\n", + " \n", + " # Exécution\n", + " start = time.time()\n", + " algorithm.run()\n", + " exec_time = time.time() - start\n", + " \n", + " # Récupérer la valeur finale\n", + " if algorithm.solutions:\n", + " final = algorithm.solutions[0].objectives[0]\n", + " else:\n", + " final = current_history[-1] if current_history else -n_bits\n", + " \n", + " # Limiter à max_evaluations points\n", + " if len(current_history) > max_evaluations:\n", + " current_history = current_history[:max_evaluations]\n", + " \n", + " return {\n", + " 'history': current_history, # Fitness courante à chaque évaluation\n", + " 'final': final,\n", + " 'time': exec_time,\n", + " 'evaluations': len(current_history)\n", + " }\n", + "\n", + "def run_local_search_current_fitness():\n", + " \"\"\"Exécute Recherche Locale avec suivi de la fitness courante\"\"\"\n", + " problem = OneMax(number_of_bits=n_bits)\n", + " \n", + " # Variables pour le suivi\n", + " current_history = []\n", + " evaluations_count = 0\n", + " \n", + " # Créer l'algorithme\n", + " algorithm = LocalSearch(\n", + " problem=problem,\n", + " mutation=BitFlipMutation(1/n_bits),\n", + " termination_criterion=StoppingByEvaluations(max_evaluations)\n", + " )\n", + " \n", + " # Surcharger la méthode step pour suivre manuellement\n", + " original_step = algorithm.step\n", + " \n", + " def tracked_step():\n", + " nonlocal evaluations_count, current_history\n", + " \n", + " # Exécuter un step normal\n", + " original_step()\n", + " \n", + " # Suivre la fitness courante\n", + " if algorithm.solutions:\n", + " current_fitness = algorithm.solutions[0].objectives[0]\n", + " \n", + " # En recherche locale, on évalue généralement 1 voisin par step\n", + " evaluations_count += 1\n", + " current_history.append(current_fitness)\n", + " \n", + " # Remplacer la méthode step\n", + " algorithm.step = tracked_step\n", + " \n", + " # Exécution\n", + " start = time.time()\n", + " algorithm.run()\n", + " exec_time = time.time() - start\n", + " \n", + " # Récupérer la valeur finale\n", + " if algorithm.solutions:\n", + " final = algorithm.solutions[0].objectives[0]\n", + " else:\n", + " final = current_history[-1] if current_history else -n_bits\n", + " \n", + " # Limiter à max_evaluations points\n", + " if len(current_history) > max_evaluations:\n", + " current_history = current_history[:max_evaluations]\n", + " \n", + " return {\n", + " 'history': current_history, # Fitness courante\n", + " 'final': final,\n", + " 'time': exec_time,\n", + " 'evaluations': len(current_history)\n", + " }\n", + "\n", + "print(\"✓ Fonctions avec suivi de la fitness courante définies\")" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "============================================================\n", + "EXÉCUTION AG3 - FITNESS COURANTE - 20 runs\n", + "============================================================\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "AG3: 0%| | 0/20 [00:00 target_evaluations\n", + " # Tronquer\n", + " aligned.append(h[:target_evaluations])\n", + " return np.array(aligned)\n", + "\n", + "# Aligner\n", + "ag3_aligned = align_to_evaluations(ag3_histories, target_len)\n", + "ls_aligned = align_to_evaluations(ls_histories, target_len)\n", + "\n", + "print(f\" AG3 shape après alignement: {ag3_aligned.shape}\")\n", + "print(f\" LS shape après alignement: {ls_aligned.shape}\")\n", + "\n", + "# Calculer les moyennes\n", + "ag3_mean = np.mean(ag3_aligned, axis=0)\n", + "ag3_std = np.std(ag3_aligned, axis=0)\n", + "\n", + "ls_mean = np.mean(ls_aligned, axis=0)\n", + "ls_std = np.std(ls_aligned, axis=0)\n", + "\n", + "print(f\"\\n✓ Moyennes calculées\")\n", + "print(f\" AG3 final : {ag3_mean[-1]:.2f} ± {ag3_std[-1]:.2f}\")\n", + "print(f\" LS final : {ls_mean[-1]:.2f} ± {ls_std[-1]:.2f}\")\n", + "\n", + "# Créer l'axe X (nombre d'évaluations)\n", + "x_axis = np.arange(1, target_len + 1) # De 1 à max_evaluations\n", + "\n", + "print(f\"\\nAxe X pour le graphique: {len(x_axis)} points, de 1 à {x_axis[-1]} évaluations\")" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "============================================================\n", + "GÉNÉRATION DU GRAPHIQUE - FITNESS COURANTE\n", + "============================================================\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "✓ Graphique généré (fitness courante)\n", + " AG3 final: -445.70 ± 3.36\n", + " LS final: -508.00 ± 2.00\n", + " Différence: -62.30 points\n", + "\n", + "Statistiques des fluctuations (valeur absolue):\n", + " AG3 - Δ moyen: 0.043, max: 26.250\n", + " LS - Δ moyen: 0.050, max: 0.700\n" + ] + } + ], + "source": [ + "# 6. GRAPHIQUE DE LA FITNESS COURANTE\n", + "print(\"\\n\" + \"=\"*60)\n", + "print(\"GÉNÉRATION DU GRAPHIQUE - FITNESS COURANTE\")\n", + "print(\"=\"*60)\n", + "\n", + "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(14, 10), height_ratios=[3, 1])\n", + "\n", + "# ====== GRAPHIQUE PRINCIPAL ======\n", + "# AG3 - 20 runs individuels (rouge transparent)\n", + "for h in ag3_histories:\n", + " if len(h) > 0:\n", + " ax1.plot(range(1, len(h)+1), h, color='red', alpha=0.15, linewidth=0.3)\n", + "\n", + "# LS - 20 runs individuels (bleu transparent)\n", + "for h in ls_histories:\n", + " if len(h) > 0:\n", + " ax1.plot(range(1, len(h)+1), h, color='blue', alpha=0.15, linewidth=0.3)\n", + "\n", + "# Moyennes en gras\n", + "ax1.plot(x_axis, ag3_mean, color='darkred', linewidth=2.5, label='AG3 (Mut×4) - Moyenne', zorder=10)\n", + "ax1.plot(x_axis, ls_mean, color='darkblue', linewidth=2.5, label='Recherche Locale - Moyenne', zorder=10)\n", + "\n", + "# Zone d'écart-type (transparente)\n", + "ax1.fill_between(x_axis, ag3_mean - ag3_std, ag3_mean + ag3_std, \n", + " color='red', alpha=0.15, label='AG3 ± écart-type')\n", + "ax1.fill_between(x_axis, ls_mean - ls_std, ls_mean + ls_std, \n", + " color='blue', alpha=0.15, label='LS ± écart-type')\n", + "\n", + "# Optimal (valeur = -512)\n", + "ax1.axhline(y=-512, color='green', linestyle='--', linewidth=2, \n", + " alpha=0.7, label='Optimal (-512)', zorder=5)\n", + "\n", + "ax1.set_xlabel(\"Nombre d'évaluations\", fontsize=12, fontweight='bold')\n", + "ax1.set_ylabel('Fitness courante (négative)', fontsize=12, fontweight='bold')\n", + "ax1.set_title('Fitness courante à chaque évaluation - AG3 vs Recherche Locale', \n", + " fontsize=14, fontweight='bold', pad=15)\n", + "ax1.grid(True, alpha=0.3)\n", + "ax1.legend(loc='upper right', fontsize=10)\n", + "ax1.set_ylim([-n_bits, 0])\n", + "\n", + "# Ajouter un encadré avec les résultats finaux\n", + "textstr = f'Résultats finaux:\\nAG3: {ag3_mean[-1]:.1f} ± {ag3_std[-1]:.1f}\\nLS: {ls_mean[-1]:.1f} ± {ls_std[-1]:.1f}'\n", + "props = dict(boxstyle='round', facecolor='wheat', alpha=0.8)\n", + "ax1.text(0.02, 0.98, textstr, transform=ax1.transAxes, fontsize=11,\n", + " verticalalignment='top', bbox=props)\n", + "\n", + "# ====== GRAPHIQUE DES AMÉLIORATIONS ======\n", + "# Calculer le delta entre évaluations successives\n", + "ag3_delta = np.diff(ag3_mean) # Changement entre évaluations\n", + "ls_delta = np.diff(ls_mean)\n", + "\n", + "ax2.plot(x_axis[1:], ag3_delta, color='darkred', linewidth=1.5, alpha=0.7, label='AG3 Δfitness')\n", + "ax2.plot(x_axis[1:], ls_delta, color='darkblue', linewidth=1.5, alpha=0.7, label='LS Δfitness')\n", + "\n", + "# Ligne à y=0\n", + "ax2.axhline(y=0, color='gray', linestyle='-', linewidth=0.5, alpha=0.5)\n", + "\n", + "ax2.set_xlabel(\"Nombre d'évaluations\", fontsize=12, fontweight='bold')\n", + "ax2.set_ylabel('Δ Fitness', fontsize=12, fontweight='bold')\n", + "ax2.set_title('Amélioration entre évaluations successives', fontsize=13, fontweight='bold')\n", + "ax2.grid(True, alpha=0.3)\n", + "ax2.legend(loc='upper right', fontsize=10)\n", + "ax2.set_ylim([-5, 5]) # Limiter l'échelle pour mieux voir les variations\n", + "\n", + "# Ajuster l'espacement\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "print(\"\\n✓ Graphique généré (fitness courante)\")\n", + "print(f\" AG3 final: {ag3_mean[-1]:.2f} ± {ag3_std[-1]:.2f}\")\n", + "print(f\" LS final: {ls_mean[-1]:.2f} ± {ls_std[-1]:.2f}\")\n", + "print(f\" Différence: {ls_mean[-1] - ag3_mean[-1]:.2f} points\")\n", + "\n", + "# Afficher quelques statistiques sur les fluctuations\n", + "print(f\"\\nStatistiques des fluctuations (valeur absolue):\")\n", + "print(f\" AG3 - Δ moyen: {np.mean(np.abs(ag3_delta)):.3f}, max: {np.max(np.abs(ag3_delta)):.3f}\")\n", + "print(f\" LS - Δ moyen: {np.mean(np.abs(ls_delta)):.3f}, max: {np.max(np.abs(ls_delta)):.3f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "============================================================\n", + "TABLEAU DE SYNTHÈSE COMPARATIF (valeurs négatives)\n", + "============================================================\n" + ] + }, + { + "data": { + "text/html": [ + "
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AlgorithmeFitness moyenneFitness médianeÉcart-typeMin (meilleur)Max (pire)Distance à 0Temps moyen (s)
0AG3 (Mut×4)-451.35-451.003.55-445-459451.350.830
1Recherche Locale-508.00-508.002.00-503-511508.000.834
\n", + "
" + ], + "text/plain": [ + " Algorithme Fitness moyenne Fitness médiane Écart-type Min (meilleur) \\\n", + "0 AG3 (Mut×4) -451.35 -451.00 3.55 -445 \n", + "1 Recherche Locale -508.00 -508.00 2.00 -503 \n", + "\n", + " Max (pire) Distance à 0 Temps moyen (s) \n", + "0 -459 451.35 0.830 \n", + "1 -511 508.00 0.834 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 7. TABLEAU DE SYNTHÈSE COMPARATIF (valeurs négatives)\n", + "print(\"\\n\" + \"=\"*60)\n", + "print(\"TABLEAU DE SYNTHÈSE COMPARATIF (valeurs négatives)\")\n", + "print(\"=\"*60)\n", + "\n", + "# Calculs avec valeurs négatives\n", + "ag3_mean_final = np.mean(ag3_finals)\n", + "ls_mean_final = np.mean(ls_finals)\n", + "\n", + "# Distance à l'optimal (0)\n", + "ag3_dist = 0 - ag3_mean_final\n", + "ls_dist = 0 - ls_mean_final\n", + "\n", + "# Tableau\n", + "tableau = pd.DataFrame({\n", + " 'Algorithme': ['AG3 (Mut×4)', 'Recherche Locale'],\n", + " 'Fitness moyenne': [\n", + " f\"{ag3_mean_final:.2f}\",\n", + " f\"{ls_mean_final:.2f}\"\n", + " ],\n", + " 'Fitness médiane': [\n", + " f\"{np.median(ag3_finals):.2f}\",\n", + " f\"{np.median(ls_finals):.2f}\"\n", + " ],\n", + " 'Écart-type': [\n", + " f\"{np.std(ag3_finals):.2f}\",\n", + " f\"{np.std(ls_finals):.2f}\"\n", + " ],\n", + " 'Min (meilleur)': [\n", + " f\"{np.max(ag3_finals):.0f}\",\n", + " f\"{np.max(ls_finals):.0f}\"\n", + " ],\n", + " 'Max (pire)': [\n", + " f\"{np.min(ag3_finals):.0f}\",\n", + " f\"{np.min(ls_finals):.0f}\"\n", + " ],\n", + " 'Distance à 0': [\n", + " f\"{ag3_dist:.2f}\",\n", + " f\"{ls_dist:.2f}\"\n", + " ],\n", + " 'Temps moyen (s)': [\n", + " f\"{np.mean(ag3_times):.3f}\",\n", + " f\"{np.mean(ls_times):.3f}\"\n", + " ]\n", + "})\n", + "\n", + "display(tableau)\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": "3.12.3" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/src/results/ag3_results.json b/src/results/ag3_results.json new file mode 100644 index 0000000..f3113af --- /dev/null +++ b/src/results/ag3_results.json @@ -0,0 +1,15065 @@ +{ + "config": { + "name": "AG3 (Mut\u00d74)", + "population_size": 40, + "offspring_population_size": 40, + "mutation_probability": 0.0078125, + "crossover_probability": 1.0, + "description": "Mutation quadrupl\u00e9e - Test impact MUTATION" + }, + "final_fitness": [ + -454.0, + -455.0, + -453.0, + -446.0, + -453.0, + -451.0, + -447.0, + -452.0, + -449.0, + -452.0, + -450.0, + -451.0, + -454.0, + -455.0, + -444.0, + -455.0, + -454.0, + -451.0, + -451.0, + -458.0 + ], + "execution_times": [ + 0.3263270854949951, + 0.26740574836730957, + 0.25693297386169434, + 0.24604487419128418, + 0.23058104515075684, + 0.23226094245910645, + 0.23601484298706055, + 0.2517518997192383, + 0.23067688941955566, + 0.23260116577148438, + 0.25037169456481934, + 0.23938369750976562, + 0.23148798942565918, + 0.23137879371643066, + 0.23217105865478516, + 0.23587799072265625, + 0.23000764846801758, + 0.2320561408996582, + 0.2307422161102295, + 0.24392485618591309 + ], + "mean_final_fitness": -451.75, + "std_final_fitness": 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