diff --git a/Projet_algo.ipynb b/Projet_algo.ipynb index e283f80..e72c033 100644 --- a/Projet_algo.ipynb +++ b/Projet_algo.ipynb @@ -373,7 +373,7 @@ "id": "82c80021", "metadata": {}, "source": [ - "### **Algorithm du recuit simulé**" + "### **Algorithme du recuit simulé**" ] }, { @@ -538,7 +538,7 @@ "id": "4690adfe", "metadata": {}, "source": [ - "### **Algorithme par essaim de particules**" + "### **Algorithme par essaims particulaires**" ] }, { @@ -877,7 +877,7 @@ "plt.xlabel(\"Iteration\")\n", "plt.ylabel(\"Best Cost\")\n", "plt.grid(True)\n", - "plt.show() " + "plt.show()" ] }, { @@ -1081,7 +1081,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 2, "id": "8acba8cc", "metadata": {}, "outputs": [], @@ -1099,7 +1099,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 3, "id": "ac26e5be", "metadata": {}, "outputs": [ @@ -1112,7 +1112,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -1505,7 +1505,262 @@ "id": "6b9d0852", "metadata": {}, "source": [ - "Peu importe " + "On peut conclure que, peu importe la liste de temps de calcul, on obtient à chaque fois de meilleur résultats pour Beta = 6." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "f0630480", + "metadata": {}, + "source": [ + "##### **Algorithme du recuit simulé**" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "3604c537", + "metadata": {}, + "source": [ + "Comme l'algorithme par colonies de fourmis, d'après de nombreuses recherches sur internet, les valeurs optimales des paramètres de l'algorithme du recuit simulé sont les suivantes :\n", + "\n", + "- Température initiale : 10000
\n", + "- Taux de refroidissement : 0.995
\n", + "- Température finale : 0.1
\n", + "\n", + "A l'aide des scripts Python suivants, nous pouvons tester pour une configuration précise et pour chaque limite de temps (max_times), la variation des résultats en fonction des valeurs de la température initiale et du taux de refroidissement.\n", + "\n", + "> **Note:** Pour la réalisation de nos tests, nous avons utilisé la suite de valeur ATT48, donc l'optimal est connu : 33523" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "99163665", + "metadata": {}, + "source": [ + "##### **Evolution de la distance en fonction du nombre d'itération pour plusieurs taux de refroidissement avec une température initiale de 10000**" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "ba1a3d56", + "metadata": {}, + "outputs": [], + "source": [ + "# Variables to edit:\n", + "nb_ville = 100\n", + "max_coords = 1000\n", + "nb_truck = 1\n", + "temperature = 10000\n", + "cooling_rates = [0.999 , 0.99, 0.9 , 0.8]\n", + "temperature_ok = 0.001" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "96777266", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import random, time\n", + "from tests.libs.clustering import split_tour_across_clusters\n", + "from tests.libs.simulated_annealing_stats import SimulatedAnnealing, total_distance\n", + "\n", + "def generate_cities(nb, max_coords=1000):\n", + " return [random.sample(range(max_coords), 2) for _ in range(nb)]\n", + "\n", + "cities = [[6734, 1453], [2233, 10], [5530, 1424], [401, 841], [3082, 1644], [7608, 4458], [7573, 3716], [7265, 1268], [6898, 1885], [1112, 2049], [5468, 2606], [5989, 2873], [4706, 2674], [4612, 2035], [6347, 2683], [6107, 669], [7611, 5184], [7462, 3590], [7732, 4723], [5900, 3561], [4483, 3369], [6101, 1110], [5199, 2182], [1633, 2809], [4307, 2322], [675, 1006], [7555, 4819], [7541, 3981], [3177, 756], [7352, 4506], [7545, 2801], [3245, 3305], [6426, 3173], [4608, 1198], [23, 2216], [7248, 3779], [7762, 4595], [7392, 2244], [3484, 2829], [6271, 2135], [4985, 140], [1916, 1569], [7280, 4899], [7509, 3239], [10, 2676], [6807, 2993], [5185, 3258], [3023, 1942]] \n", + "cities[0] = [max_coords/2, max_coords/2]\n", + "\n", + "optimal = 33523\n", + "\n", + "clusters = split_tour_across_clusters(cities, nb_truck)\n", + "\n", + "colors = [\n", + " '#1f77b4', # Bleu moyen\n", + " '#ff7f0e', # Orange\n", + " '#2ca02c', # Vert\n", + " '#9467bd', # Violet\n", + " '#d62728', # Rouge\n", + " '#8c564b', # Marron\n", + " '#e377c2', # Rose\n", + " '#7f7f7f', # Gris\n", + " '#bcbd22', # Vert olive\n", + " '#17becf', # Turquoise\n", + " '#1b9e77', # Vert Teal\n", + " '#d95f02', # Orange foncé\n", + " '#7570b3', # Violet moyen\n", + " '#e7298a', # Fuchsia\n", + " '#66a61e', # Vert pomme\n", + " '#e6ab02', # Jaune or\n", + " '#a6761d', # Bronze\n", + " '#666666', # Gris foncé\n", + " '#f781bf', # Rose clair\n", + " '#999999', # Gris moyen\n", + "]\n", + "\n", + "results = []\n", + "\n", + "for cooling_rate in cooling_rates:\n", + " distances_over_time = []\n", + " \n", + " for i, cluster_indices in enumerate(clusters.values()):\n", + " cluster_cities = [cities[index] for index in cluster_indices]\n", + " simulated_annealing = SimulatedAnnealing(cluster_cities, temperature=10000, cooling_rate=cooling_rate, temperature_ok=0.01)\n", + " best_route, distances = simulated_annealing.run()\n", + " distances_over_time.extend(distances)\n", + "\n", + " # Record results for this cooling rate\n", + " results.append({\n", + " 'cooling_rate': cooling_rate,\n", + " 'distances': distances_over_time,\n", + " })\n", + "\n", + "# Plotting total distances for each cooling rate over time\n", + "plt.figure()\n", + "for result in results:\n", + " plt.plot(result['distances'], label=f'Cooling rate: {result[\"cooling_rate\"]}')\n", + "plt.xlabel('Iteration')\n", + "plt.ylabel('Total distance')\n", + "plt.legend(loc='upper right')\n", + "plt.title('Total distance over iterations for different cooling rates')\n", + "plt.axhline(y=optimal, color='black', linestyle='--')\n", + "plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "259893fe", + "metadata": {}, + "source": [ + "##### **Evolution de la distance en fonction du nombre d'itération pour plusieurs taux de refroidissement avec une température initiale de 20000**" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "e2ac06ae", + "metadata": {}, + "outputs": [], + "source": [ + "# Variables to edit:\n", + "nb_ville = 100\n", + "max_coords = 1000\n", + "nb_truck = 1\n", + "temperature = 20000\n", + "cooling_rates = [0.999 , 0.99, 0.9 , 0.8]\n", + "temperature_ok = 0.001" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "1da86cf3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import random, time\n", + "from tests.libs.clustering import split_tour_across_clusters\n", + "from tests.libs.simulated_annealing_stats import SimulatedAnnealing, total_distance\n", + "\n", + "def generate_cities(nb, max_coords=1000):\n", + " return [random.sample(range(max_coords), 2) for _ in range(nb)]\n", + "\n", + "cities = [[6734, 1453], [2233, 10], [5530, 1424], [401, 841], [3082, 1644], [7608, 4458], [7573, 3716], [7265, 1268], [6898, 1885], [1112, 2049], [5468, 2606], [5989, 2873], [4706, 2674], [4612, 2035], [6347, 2683], [6107, 669], [7611, 5184], [7462, 3590], [7732, 4723], [5900, 3561], [4483, 3369], [6101, 1110], [5199, 2182], [1633, 2809], [4307, 2322], [675, 1006], [7555, 4819], [7541, 3981], [3177, 756], [7352, 4506], [7545, 2801], [3245, 3305], [6426, 3173], [4608, 1198], [23, 2216], [7248, 3779], [7762, 4595], [7392, 2244], [3484, 2829], [6271, 2135], [4985, 140], [1916, 1569], [7280, 4899], [7509, 3239], [10, 2676], [6807, 2993], [5185, 3258], [3023, 1942]] \n", + "cities[0] = [max_coords/2, max_coords/2]\n", + "\n", + "optimal = 33523\n", + "\n", + "clusters = split_tour_across_clusters(cities, nb_truck)\n", + "\n", + "colors = [\n", + " '#1f77b4', # Bleu moyen\n", + " '#ff7f0e', # Orange\n", + " '#2ca02c', # Vert\n", + " '#9467bd', # Violet\n", + " '#d62728', # Rouge\n", + " '#8c564b', # Marron\n", + " '#e377c2', # Rose\n", + " '#7f7f7f', # Gris\n", + " '#bcbd22', # Vert olive\n", + " '#17becf', # Turquoise\n", + " '#1b9e77', # Vert Teal\n", + " '#d95f02', # Orange foncé\n", + " '#7570b3', # Violet moyen\n", + " '#e7298a', # Fuchsia\n", + " '#66a61e', # Vert pomme\n", + " '#e6ab02', # Jaune or\n", + " '#a6761d', # Bronze\n", + " '#666666', # Gris foncé\n", + " '#f781bf', # Rose clair\n", + " '#999999', # Gris moyen\n", + "]\n", + "\n", + "results = []\n", + "\n", + "for cooling_rate in cooling_rates:\n", + " distances_over_time = []\n", + " \n", + " for i, cluster_indices in enumerate(clusters.values()):\n", + " cluster_cities = [cities[index] for index in cluster_indices]\n", + " simulated_annealing = SimulatedAnnealing(cluster_cities, temperature=10000, cooling_rate=cooling_rate, temperature_ok=0.01)\n", + " best_route, distances = simulated_annealing.run()\n", + " distances_over_time.extend(distances)\n", + "\n", + " # Record results for this cooling rate\n", + " results.append({\n", + " 'cooling_rate': cooling_rate,\n", + " 'distances': distances_over_time,\n", + " })\n", + "\n", + "# Plotting total distances for each cooling rate over time\n", + "plt.figure()\n", + "for result in results:\n", + " plt.plot(result['distances'], label=f'Cooling rate: {result[\"cooling_rate\"]}')\n", + "plt.xlabel('Iteration')\n", + "plt.ylabel('Total distance')\n", + "plt.legend(loc='upper right')\n", + "plt.title('Total distance over iterations for different cooling rates')\n", + "plt.axhline(y=optimal, color='black', linestyle='--')\n", + "plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a4379d79", + "metadata": {}, + "source": [ + "On peut voir qu'avec une temperature initale supérieur tel que 20000, on obtient un meilleur résultat avec un nombre d'itération identique" ] }, { @@ -1672,63 +1927,19 @@ "cell_type": "markdown", "id": "14189433", "metadata": {}, - "source": [] + "source": [ + "La méthode du coude est utilisée pour trouver le nombre optimal de clusters dans un ensemble de données non étiquetées en analysant un graphique qui représente la qualité de la partition en fonction du nombre de clusters. Le point de coude dans le graphique indique le nombre optimal de clusters. Cela aide à la segmentation et à l'analyse des données dans l'apprentissage automatique non supervisé." + ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 1, "id": "ca2ef6d8", "metadata": {}, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "c:\\Python310\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n", - "c:\\Python310\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. 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Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n", - "c:\\Python310\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n", - "c:\\Python310\\lib\\site-packages\\sklearn\\cluster\\_kmeans.py:870: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n", - " warnings.warn(\n" - ] - }, { "data": { - "image/png": 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ERKYmarjZt28fYmNjERAQAIlEgm3btrV734MHD8LOzg6DBg0yWn36CvNrWA7OnhsiIiLTEzXcVFZWIjw8HCtXruzQfiUlJYiLi8P48eONVFnn9PJp6LnJLVWhtLpO5GqIiIhsi6h3BZ84cSImTpzY4f2effZZPPLII5DJZB3q7TEVZRd7+CsVyC1VITO/HEODPcQuiYiIyGZY3JybdevW4cKFC0hMTBS7lFZpV0xxaIqIiMikRO256ajMzEwsWLAA+/fvh51d+0qvqalBTU2N9nlZWZmxytMR5ueCveeuI5OTiomIiEzKYnpu1Go1HnnkESxevBihoaHt3i8pKQlKpVL7CAwMNGKVf+jt03iPKfbcEBERmZLFhJvy8nIcPnwYc+fOhZ2dHezs7LBkyRIcO3YMdnZ22L17d7P7JSQkoLS0VPu4fPmySerltW6IiIjEYTHDUq6urjh+/LjOtk8++QS7d+/Gt99+i5CQkGb3k8vlkMvlpihRRy8fZ0gkQFFlLQorauDlbPoaiIiIbJGo4aaiogLnz5/XPs/OzkZGRgY8PDzQvXt3JCQk4OrVq/jyyy8hlUrRv39/nf19fHygUCiabDcHjg526O7hiEtFVTiXVw6vXgw3REREpiDqsNThw4cRERGBiIgIAEB8fDwiIiKwaNEiAEBubi5ycnLELLFT/rhSMYemiIiITEUiCIIgdhGmVFZWBqVSidLSUri6uhr1vf750xms3JOFacO6I+n+AUZ9LyIiImvWke9vi5lQbInYc0NERGR6DDdGpF0xlVcOG+sgIyIiEg3DjRH18HKGnVSC8pp65JaqxC6HiIjIJjDcGJGDnRQhXk4AODRFRERkKgw3RsZ5N0RERKbFcGNk2hto5vEeU0RERKbAcGNkYX4N95hizw0REZFpMNwYWWPPTWZBOTQarpgiIiIyNoYbIwvydIKDnRSqOg0u36gSuxwiIiKrx3BjZDKpBL28G4amzuZxaIqIiMjYGG5MQHsxP867ISIiMjqGGxPQrpjK54opIiIiY2O4MQHtiikOSxERERkdw40JNPbcXCisQJ1aI3I1RERE1o3hxgS6unWBk4MMdWoBFwsrxS6HiIjIqjHcmIBEIkFv7bwbDk0REREZE8ONiYQ13mOK826IiIiMiuHGREL92HNDRERkCgw3JtLYc5PJ5eBERERGxXBjIqG+DcvBLxZVQlWnFrkaIiIi68VwYyLeLnK4OdpDIwDnC9h7Q0REZCwMNyYikUi017vhbRiIiIiMh+HGhMK4HJyIiMjoGG5MqHHFFCcVExERGQ/DjQmF+jRMKj7La90QEREZDcONCTXOublaUo1yVZ3I1RAREVknhhsTcndygI+LHACQyRVTRERERsFwY2Jh2nk3HJoiIiIyBoYbE2scmjqbx54bIiIiY2C4MbHGKxXzWjdERETGwXBjYqG81g0REZFRMdyYWO+b4eZ6eQ1uVNaKXA0REZH1YbgxMWe5Hbq5dwHAoSkiIiJjYLgRQRjvMUVERGQ0DDci6M15N0REREbDcCOCML+bK6a4HJyIiMjgRA03+/btQ2xsLAICAiCRSLBt27ZW23/33Xe466674O3tDVdXV0RFReGnn34yTbEGdOuKKUEQRK6GiIjIuogabiorKxEeHo6VK1e2q/2+fftw1113YceOHUhPT8cdd9yB2NhYHD161MiVGlZPb2dIJUBpdR2ul9eIXQ4REZFVsRPzzSdOnIiJEye2u/2KFSt0nr/99tv4/vvvsX37dkRERBi4OuNR2MsQ7OmEC4WVOJtfDh9XhdglERERWQ2LnnOj0WhQXl4ODw+PFtvU1NSgrKxM52EO/rgNAycVExERGZJFh5t3330XFRUVmDJlSottkpKSoFQqtY/AwEATVtiyUD8uByciIjIGiw03GzduxOLFi/H111/Dx8enxXYJCQkoLS3VPi5fvmzCKlsWpp1UzBVTREREhiTqnBt9bd68GbNmzcI333yD6OjoVtvK5XLI5XITVdZ+jcvBz+eXQ6MRIJVKRK6IiIjIOlhcz82mTZswc+ZMbNq0CZMmTRK7HL0FeTrBXiZBZa0aV0uqxS6HiIjIaogabioqKpCRkYGMjAwAQHZ2NjIyMpCTkwOgYUgpLi5O237jxo2Ii4vD8uXLERkZiby8POTl5aG0tFSM8jvFXiZFT++bF/PjvBsiIiKDETXcHD58GBEREdpl3PHx8YiIiMCiRYsAALm5udqgAwCffvop6uvrMWfOHPj7+2sf8+bNE6X+zgrlbRiIiIgMTtQ5N+PGjWv1Cr3r16/XeZ6SkmLcgkwszM8FOAac43JwIiIig7G4OTfWJFR7d3CumCIiIjIUhhsRhfreXDF1vQL1ao3I1RAREVkHhhsRBbo7QmEvRW29BpeKq8Quh4iIyCow3IhIKpX8MTTFeTdEREQGwXAjMq6YIiIiMiyGG5E13oYhk5OKiYiIDILhRmS9b04qZs8NERGRYTDciCzs5t3BswsrUVOvFrkaIiIiy8dwIzI/VwVcFHZQawRcuF4pdjlEREQWj+FGZBKJRDvvhveYIiIi6jyGGzMQ6sdwQ0REZCgMN2Yg1OfmpOI8rpgiIiLqLIYbM8CeGyIiIsNhuDEDjXNucoqrUFVbL3I1RERElo3hxgx4Osvh5ewAgBfzIyIi6iyGGzMRyhVTREREBsFwYyYYboiIiAyD4cZM/HEDTQ5LERERdQbDjZkI82tYDn4ujz03REREncFwYyZ63+y5yStTobS6TuRqiIiILBfDjZlwVdgjQKkAAGRy3g0REZHeGG7MSG/tvBuGGyIiIn0x3JiRsMYrFXPeDRERkd4YbsxIKHtuiIiIOo3hxoyEaa91w+XgRERE+mK4MSO9fJwhkQDFlbUorKgRuxwiIiKLxHBjRro4yNDdwxEA590QERHpi+HGzHDeDRERUecw3JiZMN5jioiIqFMYbsxM6M3l4Gc5LEVERKQXhhszE+rbcI+pzPwKCIIgcjVERESWh+HGzPTwcoadVILymnrklqrELoeIiMjiMNyYGQc7KUK8nABwUjEREZE+GG7MUChvw0BERKQ3hhszFMbl4ERERHoTNdzs27cPsbGxCAgIgEQiwbZt29rcJyUlBYMHD4ZcLkevXr2wfv16o9dpardOKiYiIqKOETXcVFZWIjw8HCtXrmxX++zsbEyaNAl33HEHMjIy8OKLL2LWrFn46aefjFypaTVeyC+zoBxqDVdMERERdYSdmG8+ceJETJw4sd3tV69ejZCQECxfvhwA0LdvXxw4cADvv/8+YmJijFWmyQV5OsHBTgpVnQaXi6sQfHOCMREREbXNoubcpKamIjo6WmdbTEwMUlNTW9ynpqYGZWVlOg9zJ5NK0NunYWiK826IiIg6xqLCTV5eHnx9fXW2+fr6oqysDNXV1c3uk5SUBKVSqX0EBgaaotRO096GgSumiIiIOsSiwo0+EhISUFpaqn1cvnxZ7JLapXdjuCngpGIiIqKOEHXOTUf5+fkhPz9fZ1t+fj5cXV3RpUuXZveRy+WQy+WmKM+gwvwahqXYc0NERNQxFtVzExUVheTkZJ1tu3btQlRUlEgVGU/jiqms6xWordeIXA0REZHlEDXcVFRUICMjAxkZGQAalnpnZGQgJycHQMOQUlxcnLb9s88+iwsXLuBvf/sbzpw5g08++QRff/01XnrpJTHKN6qubl3g5CBDvUbAxaJKscshIiKyGKKGm8OHDyMiIgIREREAgPj4eERERGDRokUAgNzcXG3QAYCQkBD8+OOP2LVrF8LDw7F8+XJ89tlnVrUMvJFEItHehuEsh6aIiIjaTdQ5N+PGjYMgtHyRuuauPjxu3DgcPXrUiFWZj1AfFxzNKUEml4MTERG1m0XNubE12p4bhhsiIqJ2Y7gxY9pr3fAeU0RERO3GcGPGQm8uB79YVAlVnVrkaoiIiCwDw40Z83aWw93RHoIAnOfF/IiIiNqF4caMSSSSP65UzHk3RERE7cJwY+Ya591wUjEREVH7MNyYucYVU7wNAxERUfsw3Jg5rpgiIiLqGIYbMxfq27Bi6mpJNcpVdSJXQ0REZP4Ybsycm6MDfFwa7mqeyRVTREREbWK4sQBhnHdDRETUbgw3FiCUK6aIiIjajeHGAoTxWjdERETtxnBjARqXgx+/UobvM64iNasIak3Ld1MnIiKyZXZiF0Btu1hYCQAoU9Vh3uYMAIC/UoHE2H6Y0N9fxMqIiIjMD3tuzNzOE7l4aUtGk+15pSrM3nAEO0/kmr4oIiIiM8ZwY8bUGgGLt59CcwNQjdsWbz/FISoiIqJbMNyYsbTsYuSWqlp8XQCQW6pCWnax6YoiIiIycww3ZqygvOVgo087IiIiW8BwY8Z8XBQGbUdERGQLGG7M2LAQD/grFZC08LoEDaumhoV4mLIsIiIis8ZwY8ZkUgkSY/sBQJOA0/g8MbYfZNKW4g8REZHtYbgxcxP6+2PVo4Php9QdevJVKrDq0cG8zg0REdGf8CJ+FmBCf3/c1c8PadlFeGZDOsqq67H0rwMwro+P2KURERGZHfbcWAiZVIKonl6I6ecHADhwvlDkioiIiMwTw42FGRPqDQDYl3ld5EqIiIjME8ONhRnVywtSCXAuvwLXSqrFLoeIiMjsMNxYGHcnBwzs5gYA2M/eGyIioiYYbiyQdmjqHOfdEBER/Zneq6UOHz6Mr7/+Gjk5OaitrdV57bvvvut0YdSysaHe+DA5E/szr6NerYGdjBmViIiokV7fips3b8aIESNw+vRpbN26FXV1dTh58iR2794NpVJp6BrpT8K7KeGqsEOZqh7HrpSKXQ4REZFZ0SvcvP3223j//fexfft2ODg44IMPPsCZM2cwZcoUdO/e3dA10p/YyaQY3btxaIrzboiIiG6lV7jJysrCpEmTAAAODg6orKyERCLBSy+9hE8//dSgBVLzxoR6AQD2MtwQERHp0CvcuLu7o7y8HADQtWtXnDhxAgBQUlKCqqoqw1VHLWqcVPz7lRKUVNW20ZqIiMh26BVuxowZg127dgEAHnroIcybNw9PPfUUpk2bhvHjxxu0QGqev7ILQn2doRF4tWIiIqJb6RVuPv74Yzz88MMAgNdffx3x8fHIz8/HAw88gM8//7xDx1q5ciWCg4OhUCgQGRmJtLS0VtuvWLECYWFh6NKlCwIDA/HSSy9BpVLpcxoWb8zNeTd7z3JoioiIqJFeS8E9PDy0v0ulUixYsECvN9+yZQvi4+OxevVqREZGYsWKFYiJicHZs2fh49P0ppAbN27EggULsHbtWowYMQLnzp3D448/DolEgvfee0+vGizZmFBvfHYgG/syr0MQBEgkErFLIiIiEl27e27Kysp0fm/t0V7vvfcennrqKcycORP9+vXD6tWr4ejoiLVr1zbb/pdffsHIkSPxyCOPIDg4GHfffTemTZvWZm+PtRoW4gGFvRT5ZTU4l18hdjlERERmod3hxt3dHQUFBQAANzc3uLu7N3k0bm+P2tpapKenIzo6+o9ipFJER0cjNTW12X1GjBiB9PR0bZi5cOECduzYgXvuuafF96mpqdE7fJk7hb0MkSGeAIC95wpEroaIiMg8tHtYavfu3drhqD179nT6jQsLC6FWq+Hr66uz3dfXF2fOnGl2n0ceeQSFhYUYNWoUBEFAfX09nn32Wbz22mstvk9SUhIWL17c6XrN1ZhQb+w9dx37zhXi6TE9xS6HiIhIdO0ON2PHjtX+HhISgsDAwCZzPARBwOXLlw1X3Z+kpKTg7bffxieffILIyEicP38e8+bNw5tvvomFCxc2u09CQgLi4+O1z8vKyhAYGGi0Gk1tbKg33gSQll2Mqtp6ODrofUcNIiIiq6DXN2FISAhyc3ObTPotLi5GSEgI1Gp1m8fw8vKCTCZDfn6+zvb8/Hz4+fk1u8/ChQvx2GOPYdasWQCAAQMGoLKyEk8//TRef/11SKVNR9nkcjnkcnl7T83i9PR2Qle3LrhaUo3fLhTjjj5NJ2ITERHZEr2Wgre0MqeiogIKhaJdx3BwcMCQIUOQnJys3abRaJCcnIyoqKhm96mqqmoSYGQymbYmWySRSHi1YiIiolt0qOemcXhHIpFg4cKFcHR01L6mVqvx22+/YdCgQR063owZMzB06FAMGzYMK1asQGVlJWbOnAkAiIuLQ9euXZGUlAQAiI2NxXvvvYeIiAjtsNTChQsRGxurDTm2aGyoNzalXca+TIYbIiKiDoWbo0ePAmjoJTl+/DgcHBy0rzk4OCA8PByvvPJKu483depUXL9+HYsWLUJeXh4GDRqEnTt3aicZ5+Tk6PTU/P3vf4dEIsHf//53XL16Fd7e3oiNjcVbb73VkdOwOiN6eUEmleDC9UpcLq5CoIdj2zsRERFZKYmgx3jOzJkz8eGHH8LFxcUYNRlVWVkZlEolSktL4erqKnY5BvPgql9w+NINvPXX/pgeGSR2OURERAbVke/vDs+5qaurw1dffYVLly7pXSAZ3tibN9Lcx3k3RERk4zocbuzt7dG9e/d2rYgi02m8S/jB80WoU2tEroaIiEg8eq2Wev311/Haa6+huLjY0PWQnvp3VcLd0R4VNfU4mlMidjlERESi0es6Nx9//DHOnz+PgIAABAUFwcnJSef1I0eOGKQ4aj+ZVILRvb3xw7Fr2HfuOoaFeLS9ExERkRXSK9xMnjzZwGWQIYwJbQg3e89dxysxYWKXQ0REJAq9wk1iYqKh6yADGNO74WJ+J66VoqiiBp7O1ntlZiIiopboNecGAEpKSvDZZ58hISFBO/fmyJEjuHr1qsGKo47xcVWgr78rBAE4cL5Q7HKIiIhEoVe4+f333xEaGoply5bh3XffRUlJCQDgu+++Q0JCgiHrow7S3orhLJeEExGRbdIr3MTHx+Pxxx9HZmamzr2k7rnnHuzbt89gxVHHaa93k1kIjcY277dFRES2Ta9wc+jQITzzzDNNtnft2hV5eXmdLor0NzTIA44OMhRW1OB0XpnY5RAREZmcXuFGLpejrKzpF+e5c+fg7e3d6aJIfw52UkT18ATAu4QTEZFt0ivc3HvvvViyZAnq6uoANNwlPCcnB/Pnz8cDDzxg0AKp48aG8VYMRERku/QKN8uXL0dFRQV8fHxQXV2NsWPHolevXnBxcbH5O3SbgzG9G8JN+qUbqKipF7kaIiIi09LrOjdKpRK7du3CgQMH8Pvvv6OiogKDBw9GdHS0oesjPQR7OaG7hyNyiquQmlWEu/r5il0SERGRyegVbhqNGjUKo0aNMlQtZEBjQ73x1a+XsO/cdYYbIiKyKXqHm+TkZCQnJ6OgoAAaje5dqNeuXdvpwqhzxjSGm0zOuyEiItui15ybxYsX4+6770ZycjIKCwtx48YNnQeJL6qnJ+ykElwqqsLFwkqxyyEiIjIZvXpuVq9ejfXr1+Oxxx4zdD1kIM5yOwwNdsevF4qxL/M6gr2c2t6JiIjICujVc1NbW4sRI0YYuhYysDGhXBJORES2R69wM2vWLGzcuNHQtZCBNS4J/yWrCLX1mjZaExERWQe9hqVUKhU+/fRT/Pzzzxg4cCDs7e11Xn/vvfcMUhx1Tj9/V3g5y1FYUYPDl4oxoqeX2CUREREZnV7h5vfff8egQYMAACdOnDBkPWRAUqkEY3p74bujV7HvXCHDDRER2QS9ws2ePXsMXQcZyZhQb3x39Cr2nruOBRP7iF0OERGR0XUo3Nx///1ttpFIJPjPf/6jd0FkWKN7e0EiAU7nlqGgXAUfF4XYJRERERlVh8KNUqk0Vh1kJJ7OcvQPUOL41VLsP1eIB4Z0E7skIiIio+pQuFm3bp2x6iAjGhPqheNXS7H33HWGGyIisnp6LQUnyzI21AcAcOB8ITQaQeRqiIiIjIvhxgZEdHeDs9wOxZW1OHGtVOxyiIiIjIrhxgbYy6QY0dMTALD3LK9WTERE1o3hxkaMDbt5KwbeJZyIiKwcw42NaLwVw5GcEpSp6kSuhoiIyHgYbmxEoIcjeng7Qa0R8Mv5QrHLISIiMhqGGxvS2Huz9xzDDRERWS+GGxsyNvTmvJtz1yEIXBJORETWieHGhkT28ICDnRRXS6qRdb1S7HKIiIiMQvRws3LlSgQHB0OhUCAyMhJpaWmtti8pKcGcOXPg7+8PuVyO0NBQ7Nixw0TVWjZHBzsMC/YA0NB7Q0REZI1EDTdbtmxBfHw8EhMTceTIEYSHhyMmJgYFBQXNtq+trcVdd92Fixcv4ttvv8XZs2exZs0adO3a1cSVW64xoV4AuCSciIisl6jh5r333sNTTz2FmTNnol+/fli9ejUcHR2xdu3aZtuvXbsWxcXF2LZtG0aOHIng4GCMHTsW4eHhJq7ccjXeiuHXC0VQ1alFroaIiMjwRAs3tbW1SE9PR3R09B/FSKWIjo5Gampqs/v88MMPiIqKwpw5c+Dr64v+/fvj7bffhlrNL+n2CvV1hp+rAqo6DQ5dLBa7HCIiIoMTLdwUFhZCrVbD19dXZ7uvry/y8vKa3efChQv49ttvoVarsWPHDixcuBDLly/HP/7xjxbfp6amBmVlZToPWyaRSDC6982hKc67ISIiKyT6hOKO0Gg08PHxwaeffoohQ4Zg6tSpeP3117F69eoW90lKSoJSqdQ+AgMDTVixeWq8FcNehhsiIrJCooUbLy8vyGQy5Ofn62zPz8+Hn59fs/v4+/sjNDQUMplMu61v377Iy8tDbW1ts/skJCSgtLRU+7h8+bLhTsJCjerlBakEOJdfgdzSarHLISIiMijRwo2DgwOGDBmC5ORk7TaNRoPk5GRERUU1u8/IkSNx/vx5aDQa7bZz587B398fDg4Oze4jl8vh6uqq87B1bo4OGNjNDQCwn1crJiIiKyPqsFR8fDzWrFmDL774AqdPn8bs2bNRWVmJmTNnAgDi4uKQkJCgbT979mwUFxdj3rx5OHfuHH788Ue8/fbbmDNnjlinYLEar1bMoSkiIrI2dmK++dSpU3H9+nUsWrQIeXl5GDRoEHbu3KmdZJyTkwOp9I/8FRgYiJ9++gkvvfQSBg4ciK5du2LevHmYP3++WKdgscaEeuOD5EwcOF8ItUaATCoRuyQiIiKDkAg2dpOhsrIyKJVKlJaW2vQQVb1ag8Fv7kKZqh7fPTcCg7u7i10SERFRizry/W1Rq6XIcOxkUoxuvEv4WQ5NERGR9WC4sWG8FQMREVkjhhsbNubmpOJjl0tQUtX8UnoiIiJLw3Bjw/yVXRDq6wyNABw4zyXhRERkHRhubNyYm/NueCsGIiKyFgw3Nq5xaGrfuULY2MI5IiKyUgw3Nm5YiAfkdhLklanwr70XkJpVBLWGIYeIiCyXqBfxI/GlnC2AAAkAAUt3ngEA+CsVSIzthwn9/cUtjoiISA/subFhO0/kYvaGI6it1+hszytVYfaGI9h5IlekyoiIiPTHcGOj1BoBi7efQnMDUI3bFm8/xSEqIiKyOAw3Niotuxi5paoWXxcA5JaqkJZdbLqiiIiIDIDhxkYVlLccbPRpR0REZC4YbmyUj4vCoO2IiIjMBcONjRoW4gF/pQKSVtr4KxUYFuJhspqIiIgMgeHGRsmkEiTG9gOAFgPO3f18IZO2Fn+IiIjMD8ONDZvQ3x+rHh0MP6Xu0JOLvOHyR18fvoLM/HIxSiMiItKbRLCxa+6XlZVBqVSitLQUrq6uYpdjFtQaAWnZxSgoV8HHRYEhQe548otD2J9ZiN4+zvh+7kg4OvB6j0REJJ6OfH+z54Ygk0oQ1dMT9w3qiqiennCwk+L9qYPg4yJHZkEFEr8/KXaJRERE7cZwQ83ycpbjg4cjIJUA36RfwbfpV8QuiYiIqF0YbqhFUT098VJ0KABg4bYTnH9DREQWgeGGWvXcHb0wurcXquvUeO7fR1BVWy92SURERK1iuKFWyaQSzr8hIiKLwnBDbeL8GyIisiQMN9QunH9DRESWguGG2o3zb4iIyBIw3FC7cf4NERFZAoYb6hDOvyEiInPHcEMdxvk3RERkzhhuSC+cf0NEROaK4Yb08uf5N4s4/4aIiMwEww3p7db5N9+mX8E3hy+LXRIRERHDDXWOzvyb70/gHOffEBGRyBhuqNMa59+o6jSYw/k3REQkMoYb6jTOvyEiInPCcEMG4eUsx4fTOP+GiIjEx3BDBjO8hyfi7+L8GyIiEpdZhJuVK1ciODgYCoUCkZGRSEtLa9d+mzdvhkQiweTJk41bILXbc+M4/4aIiMQlerjZsmUL4uPjkZiYiCNHjiA8PBwxMTEoKChodb+LFy/ilVdewejRo01UKbWHtJn5N2qNgNSsInyfcRWpWUVQawSxyyQiIismEQRB1G+ayMhI3H777fj4448BABqNBoGBgXj++eexYMGCZvdRq9UYM2YMnnjiCezfvx8lJSXYtm1bu96vrKwMSqUSpaWlcHV1NdRp0J/8eqEIj6z5FRoBUHaxR2l1nfY1f6UCibH9MKG/v4gVEhGRJenI97eoPTe1tbVIT09HdHS0dptUKkV0dDRSU1Nb3G/JkiXw8fHBk08+2eZ71NTUoKysTOdBxje8hyf+MrAhvNwabAAgr1SF2RuOYOeJXDFKIyIiKydquCksLIRarYavr6/Odl9fX+Tl5TW7z4EDB/D5559jzZo17XqPpKQkKJVK7SMwMLDTdVPb1BoBadk3mn2tsatw8fZTHKIiIiKDE33OTUeUl5fjsccew5o1a+Dl5dWufRISElBaWqp9XL7MJcqmkJZdjLwyVYuvCwByS1VIyy42XVFERGQT7MR8cy8vL8hkMuTn5+tsz8/Ph5+fX5P2WVlZuHjxImJjY7XbNBoNAMDOzg5nz55Fz549dfaRy+WQy+VGqJ5aU1DecrDRpx0REVF7idpz4+DggCFDhiA5OVm7TaPRIDk5GVFRUU3a9+nTB8ePH0dGRob2ce+99+KOO+5ARkYGh5zMiI+LwqDtiIiI2kvUnhsAiI+Px4wZMzB06FAMGzYMK1asQGVlJWbOnAkAiIuLQ9euXZGUlASFQoH+/fvr7O/m5gYATbaTuIaFeMBfqUBeqQotzarxc1VgWIiHSesiIiLrJ3q4mTp1Kq5fv45FixYhLy8PgwYNws6dO7WTjHNyciCVWtTUIELD/aYSY/th9oYjkADNBpwuDlKUq+rg5uhg6vKIiMiKiX6dG1PjdW5Ma+eJXCzefgq5pX/MrfFydkBVrRpVtWqE+brgqyeHwceVw1NERNSyjnx/M9yQ0TUsCy9GQbkKPi4NQ1HnCyrw2Oe/oaC8BkGejtjwZCQCPRzFLpWIiMwUw00rGG7MR05RFR79/DfkFFfBx0WODbMiEerrInZZRERkhizmCsVk27p7OuLbZ6MQ5uuCgvIaTPlXKo7mNH/hPyIiovZiuCFR+bgqsOWZ4RgU6IaSqjpM/+w3HDxfKHZZRERkwRhuSHRujg7496xIjOrlhapaNWauO4SfTjZ/+w0iIqK2MNyQWXCS2+Hzx4diwm1+qFVrMHtDOr5NvyJ2WUREZIEYbshsyO1k+PiRCDw0pBs0AvDKN8ew9kC22GUREZGFYbghs2Ink2LZAwPx5KgQAMCS/57Ce7vOwcYW9RERUScw3JDZkUol+Pukvnjl7lAAwIfJmVi8/RQ0GgYcIiJqG8MNmSWJRIK5d/bGkvtuAwCs/+UiXvnmGOrUGpErIyIic8dwQ2YtLioYK6YOgkwqwXdHr2L2hiNQ1anFLouIiMwYww2ZvckRXfGvR4dAbifFz6fz8fi6NJSr6sQui4iIzBTDDVmE6H6++OKJYXCW2+HXC8WY/tlvKK6sFbssIiIyQww3ZDGG9/DEpqeGw8PJAb9fKcWUf6Uit7Qaao2A1KwifJ9xFalZRVBz4jERkU3jjTPJ4jTeUTy3VAUPRwfIpBJcr6jRvu6vVCAxth8m9PcXsUoiIjIk3jiTrFovH2d882wUfFzkKK6q1Qk2AJBXqsLsDUew80SuSBUSEZGYGG7IIvkru7T4WmNX5OLtpzhERURkgxhuyCKlZRejoLymxdcFALmlKqRlF5uuKCIiMgsMN2SRCspVBm1HRETWg+GGLJKPi8Kg7YiIyHow3JBFGhbiAX+lApI22v3nyGVU1tSbpCYiIjIPDDdkkWRSCRJj+wFAk4Bz6/Nv06/iLx8dwPErpSarjYiIxMVwQxZrQn9/rHp0MPyUukNPfkoFVj86GJufHg5/pQLZhZW4f9VBrN6bxTuLExHZAF7EjyyeWiPcXD2lgo+LAsNCPCCTNvTflFTVIuG74/jfiTwAwMhennhvyiD4unIuDhGRJenI9zfDDVk9QRCw5dBlLN5+CtV1arg72mPZAwNx921+YpdGRETtxCsUE91CIpHg4WHd8d8XRuG2AFfcqKrD01+l4+/bjqO6Vi12eUREZGAMN2Qzeno747vnRuDpMT0AABt+zcG9Hx/A6dwykSsjIiJDYrghmyK3k+G1e/riqyeHwdtFjsyCCty38iDWHcyGjY3QEhFZLYYbskmje3tj57zRGN/HB7X1Gizefgoz1x9CYUXLt3QgIiLLwHBDNsvTWY7PZgzFkvtug4OdFClnr2PCin1IOVsgdmlERNQJDDdk0yQSCeKigrF97iiE+bqgsKIWj687hCXbT6GmXg21RkBqVhG+z7iK1Kwi3mWciMgCcCk40U2qOjWSdpzGF6mXAABd3bqgpl6NwopabRt/pQKJsf0wob+/WGUSEdkkLgUn0oPCXobF9/XH5zOGwlluh6sl1TrBBgDySlWYveEIdp7IFalKIiJqC8MN0Z+MC/OBo4Os2dcauzkXbz/FISoiIjPFcEP0Jw23cmh51ZQAILdUhbTsYtMVRURE7WYW4WblypUIDg6GQqFAZGQk0tLSWmy7Zs0ajB49Gu7u7nB3d0d0dHSr7Yk6qqBc1a52mw/loKSqtu2GRERkUqKHmy1btiA+Ph6JiYk4cuQIwsPDERMTg4KC5pfjpqSkYNq0adizZw9SU1MRGBiIu+++G1evXjVx5WStfFzad1PN7zOuIfLtZLz6zTEcv1Jq5KqIiKi9RF8tFRkZidtvvx0ff/wxAECj0SAwMBDPP/88FixY0Ob+arUa7u7u+PjjjxEXF9dme66WoraoNQJGLduNvFIVmvvjkABw7WIPf6UCZ/LKtdvDA90QNzwIkwb6Q2Hf/JwdIiLSj8WslqqtrUV6ejqio6O126RSKaKjo5GamtquY1RVVaGurg4eHh7Nvl5TU4OysjKdB1FrZFIJEmP7AWgIMrdqfL7sgQH437zR+M/sKNw3KAD2MgmOXS7By98cw4ilu7H0f2dwubjKpHUTEVEDUcNNYWEh1Go1fH19dbb7+voiLy+vXceYP38+AgICdALSrZKSkqBUKrWPwMDATtdN1m9Cf3+senQw/JS6Q1R+SgVWPToYE/r7QyKRYEiQBz54OAKpCePxakwYApQKFFfWYvXeLIz55x48uf4QUs4WQNPCyipeJJCIyPDsxC6gM5YuXYrNmzcjJSUFCkXz8yQSEhIQHx+vfV5WVsaAQ+0yob8/7urnd3P1lAo+LgoMC/GATPrn/hzAy1mOOXf0wjNjeiD5TAE2/HoJ+zMLkXymAMlnChDk6YhHI4Pw0NBucHN0AADsPJGLxdtPIbf0jwnMvEggEVHniTrnpra2Fo6Ojvj2228xefJk7fYZM2agpKQE33//fYv7vvvuu/jHP/6Bn3/+GUOHDm33e3LODZlK1vUKbPj1Er5Nv4JyVT0AQG4nxX2DAtDL2xlJ/zvTZE5PY2xq7B0iIqIGFjPnxsHBAUOGDEFycrJ2m0ajQXJyMqKiolrc75133sGbb76JnTt3dijYEJlST29nJMbeht9eG4+k+wegr78rauo1+PrwFbzdTLABeJFAIiJDEH0peHx8PNasWYMvvvgCp0+fxuzZs1FZWYmZM2cCAOLi4pCQkKBtv2zZMixcuBBr165FcHAw8vLykJeXh4qKCrFOgahVjg52mDasO3a8MArfPhuFkT09W23PiwQSEXWO6HNupk6diuvXr2PRokXIy8vDoEGDsHPnTu0k45ycHEilf2SwVatWoba2Fg8++KDOcRITE/HGG2+YsnSiDpFIJBga7IEptwfiYFZRm+0vFlUgqo0gRERETYl+nRtT45wbEltqVhGmrfm1zXYSAEOC3HFHHx/c2ccHffxcIJE0ncxMRGQLOvL9LXrPDZGtGRbiAX+losWLBAKAnVSCeo2Aw5du4PClG/jnT2cRoFRgXB8f3BnmgxG9POHo0Pafr1ojtGu1FxGRNWHPDZEIdp7IxewNRwBAJ+Dculqqf1cl9py9jj1nCnDwfCFq6jXadg52UkT18MSdN3t1Aj0cm30PLjUnImvRke9vhhsikXQkfKjq1EjNKsLuMwXYfaYAV0uqdV7v5eOMO/v44I4wHwwNdkfy6XzM3nCES82JyGow3LSC4YbMiT7DRoIgILOgQht00i/d0Fk27uwgQ70gQFWnaXZ/CRqutHxg/p0coiIii8Fw0wqGG7I2pVV12JfZMHyVcu46iitr27XfpqeGczUWEVkMTigmsiFKR3vEhgcgNjwAao2Aj/dk4v1dmW3u9/GeTGQXVuK2AFeE+bnodSdzTlgmInPEcENkRWRSCYYFewJoO9wcPF+Eg+cbrrcjlTRcUblfgCv6+btqf3o6y1vcnxOWichccViKyMqoNQJGLdvd6lJzN0d7PDS0G87kluPktbIWh7L8XBVNAk93D0f836k8TlgmIpPinJtWMNyQLWjPUvPG8CEIAgrKa3DqWhlO5Zbh5LVSnLpWhotFVc0e28lBhlq1BnXq5v+vw1ATljnkRUS3YrhpBcMN2YrODhtV1NTjTG5D4GkMPmfyylFb3/wqrD97YHBX3B7sAX+3LghQKuCnVMBFYW+S2onI+jDctILhhmyJoXs/6tQafL4/G0t3ntFrfxe5HfzdFPBXdoG/8uZPN4X29wA3Bfadu84hLyJqgquliAhAwwRjQy73tpdJER7o1q62d/bxgUYQkFuiQm5pNcpU9SivqUd5fgXO5Ve0uJ8EaHauUOO2xdtP4a5+fp0eouKwF5H1Yrghog5p695YjXNu1sQN1QkLFTX1yCutxrUSFfJKVbhWWt0QfMpUyC2pRm6pChU19S1Ogm6UW6rCiKXJ6O3jgm7uXRDo4Yhu7l1uPhzh7SyHtI2QwmEvIuvGYSki6rCOTFjuiC2HcjD/P8c7VZuDTIqut4SdW4NPoHsXHL54A3M2Gn/Yiz1DRIbFYSkiMqoJ/f2x6tHBTXo//DrZ+9Hdw6ld7Rb+pS+UXRxw5UYVLhdX48qNKly5UY3c0mrUqjXILqxEdmFlh967Mey88UPnh73YM0QkLvbcEJHeDN070dY1etpaZl6n1iCvVIUrNxoCz+UbfwSfqzeqca2kus1hLwDoYi9FoIcjfF0bJjv7uSrgp+wCP6Ucfq5d4KdUwN3RHhJJ0xoae7XYM0RkWFwt1QqGGyLzZqwhLwD47sgVxH99rHMF3uRgJ70ZehrCj79SAW8XOT7ecx4lVXXN7mOoawAZu2eIwYnMEcNNKxhuiMyfsb68U7OKMG3Nr222e/ehgfB1bZg0nVeqQl6Z7s+idt6ctCVPjAxGZA9P+LjI4eOqgLezHA520nbta+yeIQ6pkbliuGkFww2RZTBG70Fnh70a1dSrUVBWg7wyFXJLVcgvbfh5JOcGMi6X6FWbu6M9fFwU8HGV3/JT93dPJznuen+vTvDQp/6WcEiNzBnDTSsYbohsmzGHvdrbMzQkyB31GgHXy1S4XlHT4q0s9PXEyGD08XdFF3sZFPYyKOylt/ze8FxhL9Nuk0kl2uBnrODUiD1DpC+Gm1Yw3BCRsb5g9ekZ0mgElFTXoaBchfyyGhSUqVBQXoPr5TUoKFehoKwGBTd/V9W179YXHeUgk0ImBarbcfy/xYRidG8feLk4wNOp/cNpgOl6hsg6Mdy0guGGiADjDY0Yq2dIEAQknynArC8Ot9n29mB3OMntUF2rhqpeg5o6Narr1FDVqbXb2nuPsLa4OdrDy1kOb2c5vFwafzo0bLv53NtFDmUXe9zxborRe4YADntZK4abVjDcEJGxmVPPUGvHqqlXQ1WnQXWdGr9eKMLL7VhJFuzpiOo6NQoraqHWGP7r4+NpEbjrNl/I7WR67W+KYS+GJ3Ew3LSC4YaITMHSeoY6Gpwah9MKKxqG0Bp/Xq+oQWF57c2fDduLKjsehFwUdvB2lsPTuaEXqPFnw6NxW8PvznI7SCQSkwx7cRm+eBhuWsFwQ0SWzlhfsMYKThqNgF2n8vDMzWO3RiYF1B0cMZPbSeHp5NDm5GxPJwd8PuN2uHaxg7PCDs5yO3SxlzV7McbmWMMyfEsOTww3rWC4ISJrYMyeITGH1Pb/7Q5U1qgben4qalBUUXvzZw2u3/J7YUUtiipqUFmr1rsmAJBKACd5Q9Bp/NnwuwzOcns4y2VwktvBUS7Dp3svoExV3+Kx/FwVODD/DtjJ2j/JupE19DoBxg1PDDetYLghImqdJQ2pVdeqUVhRg61Hr+C9XZlttld2sYdGI6Cith7G+vZzcpChi0NDQOpiL4OjQ0NA6mJ/86eDDI72MjjK7eDo0LA0//1dmSitbvnK1r5KBQ78Tb/gBFhHeGK4aQXDDRGReMS++vSmp4YjqqcnNBoB1XVqVNbUo7ymHpU19aioqUeFqh6VtfWoqFE3/H5z+6ncMqRlF+tdn6E4OshuBqKGn43XKnJ0kKHLn7Z3sW8IWXI7CT5IPm/x4YnhphUMN0RE4jLnq0+3pL3hadWjg9HXzxVVtWpU19Wjskat83t1rRqVtfWorm3YXllbj6yCChy7UtrhmgytcYjO6Wavk9PNniUnBzs4yu3g5CCD483Xbv3ZxU6Kv39/Ejeqmr8tiaGW+Xfk+9tO73chIiLSg0wqQVRPT4MfMzG2H2ZvOAIJmh/2Soztp/eX67AQD/grFW2Gp7v7+XX4PToSnPr5u6L65vWK2vszs6CiXbcF0QhAuaoe5a3MK9KHACC3VIW07GKDf+4tYbghIiKrMKG/P1Y9OrjJsJefAYa9jBmejBmcgPaHp0+mD0YfP5eGHqWaem3PUlWNGhU19aiqrUdlrRpVNTd/1jb0Rl0ursKFwso2j19Q3vwFHI2B4YaIiKzGhP7+uKufn1EmRBsrPJlLr1PMbcYNTz4uig4fW1+cc0NERNQBlrYMv/HYxrphrLHnOzXihOJWMNwQEZG5MuZ1Yiw1PDViuGkFww0REdkqSw1PQMe+v/Vb0G5gK1euRHBwMBQKBSIjI5GWltZq+2+++QZ9+vSBQqHAgAEDsGPHDhNVSkREZLkaV6rdN6gronp6GvTWCxP6++PA/Dux6anh+ODhQdj01HAcmH+nwa5+3BGih5stW7YgPj4eiYmJOHLkCMLDwxETE4OCgoJm2//yyy+YNm0annzySRw9ehSTJ0/G5MmTceLECRNXTkRERLcyZnjqCNGHpSIjI3H77bfj448/BgBoNBoEBgbi+eefx4IFC5q0nzp1KiorK/Hf//5Xu2348OEYNGgQVq9e3eb7cViKiIjI8ljMsFRtbS3S09MRHR2t3SaVShEdHY3U1NRm90lNTdVpDwAxMTEtticiIiLbIup1bgoLC6FWq+Hr66uz3dfXF2fOnGl2n7y8vGbb5+XlNdu+pqYGNTU12udlZWWdrJqIiIjMmehzbowtKSkJSqVS+wgMDBS7JCIiIjIiUcONl5cXZDIZ8vPzdbbn5+fDz8+v2X38/Pw61D4hIQGlpaXax+XLlw1TPBEREZklUcONg4MDhgwZguTkZO02jUaD5ORkREVFNbtPVFSUTnsA2LVrV4vt5XI5XF1ddR5ERERkvUS/t1R8fDxmzJiBoUOHYtiwYVixYgUqKysxc+ZMAEBcXBy6du2KpKQkAMC8efMwduxYLF++HJMmTcLmzZtx+PBhfPrpp2KeBhEREZkJ0cPN1KlTcf36dSxatAh5eXkYNGgQdu7cqZ00nJOTA6n0jw6mESNGYOPGjfj73/+O1157Db1798a2bdvQv39/sU6BiIiIzIjo17kxNV7nhoiIyPJ05Ptb9J4bU2vMclwSTkREZDkav7fb0ydjc+GmvLwcALgknIiIyAKVl5dDqVS22sbmhqU0Gg2uXbsGFxcXSCTi3PPCFMrKyhAYGIjLly/bxPCbLZ0vz9V62dL58lytl7HOVxAElJeXIyAgQGcubnNsrudGKpWiW7duYpdhMra2/N2Wzpfnar1s6Xx5rtbLGOfbVo9NI6u/QjERERHZFoYbIiIisioMN1ZKLpcjMTERcrlc7FJMwpbOl+dqvWzpfHmu1sscztfmJhQTERGRdWPPDREREVkVhhsiIiKyKgw3REREZFUYboiIiMiqMNxYoKSkJNx+++1wcXGBj48PJk+ejLNnz7a6z/r16yGRSHQeCoXCRBV3zhtvvNGk9j59+rS6zzfffIM+ffpAoVBgwIAB2LFjh4mq7Zzg4OAm5yqRSDBnzpxm21va57pv3z7ExsYiICAAEokE27Zt03ldEAQsWrQI/v7+6NKlC6Kjo5GZmdnmcVeuXIng4GAoFApERkYiLS3NSGfQfq2da11dHebPn48BAwbAyckJAQEBiIuLw7Vr11o9pj5/C6bQ1uf6+OOPN6l7woQJbR7XHD9XoO3zbe5vWCKR4J///GeLxzTHz7Y93zUqlQpz5syBp6cnnJ2d8cADDyA/P7/V4+r7d94RDDcWaO/evZgzZw5+/fVX7Nq1C3V1dbj77rtRWVnZ6n6urq7Izc3VPi5dumSiijvvtttu06n9wIEDLbb95ZdfMG3aNDz55JM4evQoJk+ejMmTJ+PEiRMmrFg/hw4d0jnPXbt2AQAeeuihFvexpM+1srIS4eHhWLlyZbOvv/POO/jwww+xevVq/Pbbb3ByckJMTAxUKlWLx9yyZQvi4+ORmJiII0eOIDw8HDExMSgoKDDWabRLa+daVVWFI0eOYOHChThy5Ai+++47nD17Fvfee2+bx+3I34KptPW5AsCECRN06t60aVOrxzTXzxVo+3xvPc/c3FysXbsWEokEDzzwQKvHNbfPtj3fNS+99BK2b9+Ob775Bnv37sW1a9dw//33t3pcff7OO0wgi1dQUCAAEPbu3dtim3Xr1glKpdJ0RRlQYmKiEB4e3u72U6ZMESZNmqSzLTIyUnjmmWcMXJnxzZs3T+jZs6eg0Wiafd2SP1cAwtatW7XPNRqN4OfnJ/zzn//UbispKRHkcrmwadOmFo8zbNgwYc6cOdrnarVaCAgIEJKSkoxStz7+fK7NSUtLEwAIly5darFNR/8WxNDcuc6YMUO47777OnQcS/hcBaF9n+19990n3Hnnna22sYTP9s/fNSUlJYK9vb3wzTffaNucPn1aACCkpqY2ewx9/847ij03VqC0tBQA4OHh0Wq7iooKBAUFITAwEPfddx9OnjxpivIMIjMzEwEBAejRowemT5+OnJycFtumpqYiOjpaZ1tMTAxSU1ONXaZB1dbWYsOGDXjiiSdavcmrJX+ut8rOzkZeXp7OZ6dUKhEZGdniZ1dbW4v09HSdfaRSKaKjoy3u8y4tLYVEIoGbm1ur7Tryt2BOUlJS4OPjg7CwMMyePRtFRUUttrWmzzU/Px8//vgjnnzyyTbbmvtn++fvmvT0dNTV1el8Tn369EH37t1b/Jz0+TvXB8ONhdNoNHjxxRcxcuRI9O/fv8V2YWFhWLt2Lb7//nts2LABGo0GI0aMwJUrV0xYrX4iIyOxfv167Ny5E6tWrUJ2djZGjx6N8vLyZtvn5eXB19dXZ5uvry/y8vJMUa7BbNu2DSUlJXj88cdbbGPJn+ufNX4+HfnsCgsLoVarLf7zVqlUmD9/PqZNm9bqjQY7+rdgLiZMmIAvv/wSycnJWLZsGfbu3YuJEydCrVY3295aPlcA+OKLL+Di4tLmUI25f7bNfdfk5eXBwcGhSSBv7XPS5+9cHzZ3V3BrM2fOHJw4caLNsdmoqChERUVpn48YMQJ9+/bFv/71L7z55pvGLrNTJk6cqP194MCBiIyMRFBQEL7++ut2/deQpfr8888xceJEBAQEtNjGkj9XalBXV4cpU6ZAEASsWrWq1baW+rfw8MMPa38fMGAABg4ciJ49eyIlJQXjx48XsTLjW7t2LaZPn97mRH9z/2zb+11jLthzY8Hmzp2L//73v9izZw+6devWoX3t7e0RERGB8+fPG6k643Fzc0NoaGiLtfv5+TWZrZ+fnw8/Pz9TlGcQly5dws8//4xZs2Z1aD9L/lwbP5+OfHZeXl6QyWQW+3k3BptLly5h165drfbaNKetvwVz1aNHD3h5ebVYt6V/ro3279+Ps2fPdvjvGDCvz7al7xo/Pz/U1taipKREp31rn5M+f+f6YLixQIIgYO7cudi6dSt2796NkJCQDh9DrVbj+PHj8Pf3N0KFxlVRUYGsrKwWa4+KikJycrLOtl27dun0cJi7devWwcfHB5MmTerQfpb8uYaEhMDPz0/nsysrK8Nvv/3W4mfn4OCAIUOG6Oyj0WiQnJxs9p93Y7DJzMzEzz//DE9Pzw4fo62/BXN15coVFBUVtVi3JX+ut/r8888xZMgQhIeHd3hfc/hs2/quGTJkCOzt7XU+p7NnzyInJ6fFz0mfv3N9iycLM3v2bEGpVAopKSlCbm6u9lFVVaVt89hjjwkLFizQPl+8eLHw008/CVlZWUJ6errw8MMPCwqFQjh58qQYp9AhL7/8spCSkiJkZ2cLBw8eFKKjowUvLy+hoKBAEISm53rw4EHBzs5OePfdd4XTp08LiYmJgr29vXD8+HGxTqFD1Gq10L17d2H+/PlNXrP0z7W8vFw4evSocPToUQGA8N577wlHjx7VrhBaunSp4ObmJnz//ffC77//Ltx3331CSEiIUF1drT3GnXfeKXz00Ufa55s3bxbkcrmwfv164dSpU8LTTz8tuLm5CXl5eSY/v1u1dq61tbXCvffeK3Tr1k3IyMjQ+TuuqanRHuPP59rW34JYWjvX8vJy4ZVXXhFSU1OF7Oxs4eeffxYGDx4s9O7dW1CpVNpjWMrnKght/+9YEAShtLRUcHR0FFatWtXsMSzhs23Pd82zzz4rdO/eXdi9e7dw+PBhISoqSoiKitI5TlhYmPDdd99pn7fn77yzGG4sEIBmH+vWrdO2GTt2rDBjxgzt8xdffFHo3r274ODgIPj6+gr33HOPcOTIEdMXr4epU6cK/v7+goODg9C1a1dh6tSpwvnz57Wv//lcBUEQvv76ayE0NFRwcHAQbrvtNuHHH380cdX6++mnnwQAwtmzZ5u8Zumf6549e5r9327jOWk0GmHhwoWCr6+vIJfLhfHjxzf5dwgKChISExN1tn300Ufaf4dhw4YJv/76q4nOqGWtnWt2dnaLf8d79uzRHuPP59rW34JYWjvXqqoq4e677xa8vb0Fe3t7ISgoSHjqqaeahBRL+VwFoe3/HQuCIPzrX/8SunTpIpSUlDR7DEv4bNvzXVNdXS0899xzgru7u+Do6Cj89a9/FXJzc5sc59Z92vN33lmSm29MREREZBU454aIiIisCsMNERERWRWGGyIiIrIqDDdERERkVRhuiIiIyKow3BAREZFVYbghIiIiq8JwQ0QGc/HiRUgkEmRkZIhditaZM2cwfPhwKBQKDBo0qMP7m+M5EVHrGG6IrMjjjz8OiUSCpUuX6mzftm0bJBKJSFWJKzExEU5OTjh79myTe46JYf369XBzcxO7DCKrxnBDZGUUCgWWLVuGGzduiF2KwdTW1uq9b1ZWFkaNGoWgoCC9bk5prtRqNTQajdhlEJklhhsiKxMdHQ0/Pz8kJSW12OaNN95oMkSzYsUKBAcHa58//vjjmDx5Mt5++234+vrCzc0NS5YsQX19PV599VV4eHigW7duWLduXZPjnzlzBiNGjIBCoUD//v2xd+9enddPnDiBiRMnwtnZGb6+vnjsscdQWFiofX3cuHGYO3cuXnzxRXh5eSEmJqbZ89BoNFiyZAm6desGuVyOQYMGYefOndrXJRIJ0tPTsWTJEkgkErzxxhstHuedd95Br169IJfL0b17d7z11lvNtm2u5+XPPWPHjh3DHXfcARcXF7i6umLIkCE4fPgwUlJSMHPmTJSWlkIikejUVFNTg1deeQVdu3aFk5MTIiMjkZKS0uR9f/jhB/Tr1w9yuRw5OTlISUnBsGHD4OTkBDc3N4wcORKXLl1qtnYiW8FwQ2RlZDIZ3n77bXz00Ue4cuVKp461e/duXLt2Dfv27cN7772HxMRE/OUvf4G7uzt+++03PPvss3jmmWeavM+rr76Kl19+GUePHkVUVBRiY2NRVFQEACgpKcGdd96JiIgIHD58GDt37kR+fj6mTJmic4wvvvgCDg4OOHjwIFavXt1sfR988AGWL1+Od999F7///jtiYmJw7733IjMzEwCQm5uL2267DS+//DJyc3PxyiuvNHuchIQELF26FAsXLsSpU6ewceNG+Pr66v3vNn36dHTr1g2HDh1Ceno6FixYAHt7e4wYMQIrVqyAq6srcnNzdWqaO3cuUlNTsXnzZvz+++946KGHMGHCBO25AEBVVRWWLVuGzz77DCdPnoSHhwcmT56MsWPH4vfff0dqaiqefvppmx2CJNIy6G04iUhUM2bMEO677z5BEARh+PDhwhNPPCEIgiBs3bpVuPXPPTExUQgPD9fZ9/333xeCgoJ0jhUUFCSo1WrttrCwMGH06NHa5/X19YKTk5OwadMmQRAE7d2uly5dqm1TV1cndOvWTVi2bJkgCILw5ptvCnfffbfOe1++fFnnTuhjx44VIiIi2jzfgIAA4a233tLZdvvttwvPPfec9nl4eHiTu03fqqysTJDL5cKaNWuafb3xnI4ePSoIgiCsW7dOUCqVOm3+/O/r4uIirF+/vtnjNbf/pUuXBJlMJly9elVn+/jx44WEhATtfgCEjIwM7etFRUUCACElJaXF8yOyRey5IbJSy5YtwxdffIHTp0/rfYzbbrsNUukf/zfh6+uLAQMGaJ/LZDJ4enqioKBAZ7+oqCjt73Z2dhg6dKi2jmPHjmHPnj1wdnbWPvr06QOgYX5MoyFDhrRaW1lZGa5du4aRI0fqbB85cmSHzvn06dOoqanB+PHj271PW+Lj4zFr1ixER0dj6dKlOufVnOPHj0OtViM0NFTn32Xv3r06+zo4OGDgwIHa5x4eHnj88ccRExOD2NhYfPDBB8jNzTXYeRBZKoYbIis1ZswYxMTEICEhoclrUqkUgiDobKurq2vSzt7eXue5RCJpdltHJrZWVFQgNjYWGRkZOo/MzEyMGTNG287Jyandx+yMLl26dKh9e/7t3njjDZw8eRKTJk3C7t270a9fP2zdurXFY1ZUVEAmkyE9PV3n3+T06dP44IMPdGr985DTunXrkJqaihEjRmDLli0IDQ3Fr7/+2qFzIrI2DDdEVmzp0qXYvn07UlNTdbZ7e3sjLy9P50vakNdxufXLtb6+Hunp6ejbty8AYPDgwTh58iSCg4PRq1cvnUdHAo2rqysCAgJw8OBBne0HDx5Ev3792n2c3r17o0uXLu1eJu7t7Y3y8nJUVlZqtzX3bxcaGoqXXnoJ//d//4f7779fO/HawcEBarVap21ERATUajUKCgqa/Jv4+fm1WVNERAQSEhLwyy+/oH///ti4cWO7zoXIWjHcEFmxAQMGYPr06fjwww91to8bNw7Xr1/HO++8g6ysLKxcuRL/+9//DPa+K1euxNatW3HmzBnMmTMHN27cwBNPPAEAmDNnDoqLizFt2jQcOnQIWVlZ+OmnnzBz5swmX/ptefXVV7Fs2TJs2bIFZ8+exYIFC5CRkYF58+a1+xgKhQLz58/H3/72N3z55ZfIysrCr7/+is8//7zZ9pGRkXB0dMRrr72GrKwsbNy4EevXr9e+Xl1djblz5yIlJQWXLl3CwYMHcejQIW24Cw4ORkVFBZKTk1FYWIiqqiqEhoZi+vTpiIuLw3fffYfs7GykpaUhKSkJP/74Y4u1Z2dnIyEhAampqbh06RL+7//+D5mZmdr3IrJVDDdEVm7JkiVNho369u2LTz75BCtXrkR4eDjS0tJaXEmkj6VLl2Lp0qUIDw/HgQMH8MMPP8DLywsAtL0tarUad999NwYMGIAXX3wRbm5uOvN72uOFF15AfHw8Xn75ZQwYMAA7d+7EDz/8gN69e3foOAsXLsTLL7+MRYsWoW/fvpg6dWqTeUSNPDw8sGHDBuzYsQMDBgzApk2bdJaYy2QyFBUVIS4uDqGhoZgyZQomTpyIxYsXAwBGjBiBZ599FlOnToW3tzfeeecdAA3DS3FxcXj55ZcRFhaGyZMn49ChQ+jevXuLdTs6OuLMmTN44IEHEBoaiqeffhpz5szBM88806HzJ7I2EuHPg8dEREREFow9N0RERGRVGG6IiIjIqjDcEBERkVVhuCEiIiKrwnBDREREVoXhhoiIiKwKww0RERFZFYYbIiIisioMN0RERGRVGG6IiIjIqjDcEBERkVVhuCEiIiKr8v8PnfojgaiN9gAAAABJRU5ErkJggg==", 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", 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" ] @@ -1761,7 +1972,7 @@ " inertias = [] # list to store the inertia for each number of clusters\n", " for i in range(1, max_clusters+1):\n", " # Apply KMeans clustering\n", - " kmeans = KMeans(n_clusters=i, random_state=0).fit(cities)\n", + " kmeans = KMeans(n_clusters=i, random_state=0, n_init='auto').fit(cities)\n", " # Append the inertia (sum of squared distances to closest centroid) to the list\n", " inertias.append(kmeans.inertia_)\n", " return inertias\n", @@ -1794,7 +2005,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.2" + "version": "3.11.3" } }, "nbformat": 4, diff --git a/all_clusters.png b/all_clusters.png deleted file mode 100644 index 86cd762..0000000 Binary files a/all_clusters.png and /dev/null differ diff --git a/cluster_0.png b/cluster_0.png deleted file mode 100644 index f277b04..0000000 Binary files a/cluster_0.png and /dev/null differ diff --git a/cluster_1.png b/cluster_1.png deleted file mode 100644 index c3a3cc2..0000000 Binary files a/cluster_1.png and /dev/null differ diff --git a/evolution_cluster_0.png b/evolution_cluster_0.png deleted file mode 100644 index 2e0c12a..0000000 Binary files a/evolution_cluster_0.png and /dev/null differ diff --git a/evolution_cluster_1.png b/evolution_cluster_1.png deleted file mode 100644 index 1ea1ef2..0000000 Binary files a/evolution_cluster_1.png and /dev/null differ diff --git a/tests/03_cluster_recuit_no_animation_no_random_colling_rate_variation.py b/tests/03_cluster_recuit_no_animation_no_random_colling_rate_variation.py index 5efbb67..6653ad5 100644 --- a/tests/03_cluster_recuit_no_animation_no_random_colling_rate_variation.py +++ b/tests/03_cluster_recuit_no_animation_no_random_colling_rate_variation.py @@ -30,8 +30,6 @@ print("\n---- TIME ----") print("generate cities time: ", stop_time_generate - start_time_generate) print("split cities time: ", stop_time_split - start_time_split) -# create new figure for annealing paths -plt.figure() colors = [ '#1f77b4', # Bleu moyen '#ff7f0e', # Orange diff --git a/tests/libs/simulated_annealing_stats.py b/tests/libs/simulated_annealing_stats.py new file mode 100644 index 0000000..93e74dd --- /dev/null +++ b/tests/libs/simulated_annealing_stats.py @@ -0,0 +1,43 @@ +import math, random + +def distance(city1, city2): + return math.sqrt((city1[0] - city2[0]) ** 2 + (city1[1] - city2[1]) ** 2) + +def total_distance(cities): + return sum([distance(cities[i - 1], cities[i]) for i in range(len(cities))]) + +class SimulatedAnnealing: + def __init__(self, cities, temperature=10000, cooling_rate=0.9999, temperature_ok=0.001): + self.cities = cities + self.temperature = temperature + self.cooling_rate = cooling_rate + self.temperature_ok = temperature_ok + self.distances = [] + self.temperatures = [] + + def run(self): + interration = 0 + current_solution = self.cities.copy() + best_solution = self.cities.copy() + while self.temperature > self.temperature_ok: + new_solution = current_solution.copy() + # Swap two cities in the route + i = random.randint(0, len(new_solution) - 1) + j = random.randint(0, len(new_solution) - 1) + new_solution[i], new_solution[j] = new_solution[j], new_solution[i] + # Calculate the acceptance probability + current_energy = total_distance(current_solution) + new_energy = total_distance(new_solution) + delta = new_energy - current_energy + + if delta < 0 or random.random() < math.exp(-delta / self.temperature): + current_solution = new_solution + if total_distance(current_solution) < total_distance(best_solution): + best_solution = current_solution + + if interration % 10 == 0: + self.distances.append(total_distance(current_solution)) + # Cool down + self.temperature *= self.cooling_rate + interration += 1 + return best_solution, self.distances \ No newline at end of file