You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.

958 lines
604 KiB

This file contains ambiguous Unicode characters!

This file contains ambiguous Unicode characters that may be confused with others in your current locale. If your use case is intentional and legitimate, you can safely ignore this warning. Use the Escape button to highlight these characters.

{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"id": "cf0560cd",
"metadata": {},
"outputs": [],
"source": [
"distances_5villes = [[0, 376, 377, 167, 475],[376, 0, 244, 556, 646],[377, 244, 0, 538, 404],[167, 556, 538, 0, 314],[475, 646, 404, 314, 0]]\n",
"noms_5villes = {0: 'Clermont', 1: 'Bordeaux', 2: 'Toulouse', 3: 'Lyon', 4: 'Marseille'}\n",
"coordonnees_5villes = {0: (50, 47), 1: (24, 40), 2: (37, 28), 3: (62, 46), 4: (65, 23)}\n",
"\n",
"distances_20villes=[[0,182,830,593,918,822,841,974,393,719,705,884,520,863,738,895,627,781,1138,285],[182,0,648,397,619,675,659,792,216,842,555,840,338,819,546,713,445,599,907,250],[830,648,0,826,793,1051,536,719,610,866,1219,1379,310,1358,566,730,245,503,1495,855],[593,397,826,0,327,266,587,637,259,163,475,650,531,630,419,555,584,507,627,403],[918,619,793,327,0,279,510,466,402,197,523,597,586,876,300,276,562,425,304,679],[822,675,1051,266,279,0,774,771,478,109,280,318,741,297,585,555,747,698,506,558],[841,659,536,587,510,774,0,284,520,667,974,1092,398,1071,201,318,329,84,650,844],[974,792,719,637,466,771,284,0,602,664,1005,1089,584,1068,215,192,506,216,498,926],[393,216,610,259,402,478,520,602,0,366,609,797,300,776,369,514,372,444,690,324],[719,842,866,163,197,109,667,664,366,0,326,425,598,404,462,473,640,591,434,506],[705,555,1219,475,523,280,974,1005,609,326,0,206,909,185,772,799,958,898,769,407],[884,840,1379,650,597,318,1092,1089,797,425,206,0,1069,21,915,873,1065,1015,824,586],[520,338,310,531,586,741,398,584,300,598,909,1069,0,1048,379,549,106,357,795,540],[863,819,1358,630,876,297,1071,1068,776,404,185,21,1048,0,894,852,1044,995,803,565],[738,546,566,419,300,585,201,215,369,462,772,915,379,894,0,147,331,117,442,678],[895,713,730,555,276,555,318,192,514,473,799,873,549,852,147,0,498,233,330,824],[627,445,245,584,562,747,329,506,372,640,958,1065,106,1044,331,498,0,290,771,652],[781,599,503,507,425,698,84,216,444,591,898,1015,357,995,117,233,290,0,566,768],[1138,907,1495,627,304,506,650,498,690,434,769,824,795,803,442,330,771,566,0,940],[285,250,855,403,679,558,844,926,324,506,407,586,540,565,678,824,652,768,940,0]]\n",
"noms_20villes={0:'Biarritz',1:'Bordeaux',2:'Brest',3:'Clermont-Fd',4:'Dijon',5:'Grenoble', 6:'Le Havre',7:'Lille',8:'Limoges',9:'Lyon',10:'Marseille',11:'Monaco',12:'Nantes',13:'Nice',14:'Paris',15:'Reims',16:'Rennes',17:'Rouen',18:'Strasbourg',19:'Toulouse'}\n",
"coordonnees_20villes={0:(16,28),1:(24,40),2:(2,78),3:(50,47),4:(64,62),5:(68,40),6:(33,85),7:(53,94),8:(37,49),9:(62,46),10:(65,23),11:(80,27),12:(20,64),13:(78,25),14:(47,77),15:(59,81),16:(21,73),17:(39,84),18:(82,75),19:(37,28)}\n",
"\n",
"distances_48villes=[[0,4727,1205,6363,3657,3130,2414,563,463,5654,1713,1604,2368,2201,1290,1004,3833,2258,3419,2267,2957,720,1700,5279,2578,6076,3465,2654,3625,3115,1574,951,1748,2142,6755,2383,3306,1029,3530,825,2188,4820,3489,1947,6835,1542,2379,3744],[4727,0,3588,2012,1842,6977,6501,5187,5028,2327,4148,4723,3635,3125,4907,3930,7463,6338,7243,5105,4043,4022,3677,2863,3106,1850,7173,6630,1204,6814,6001,3447,5253,2656,3123,6274,7183,5622,3085,4564,2756,1591,7027,6186,3472,5461,4390,2088],[1205,3588,0,5163,2458,3678,3071,1742,1444,4462,1184,1520,1498,1103,1501,951,4298,2903,3967,2169,2209,652,828,4136,1518,4873,3954,3254,2446,3581,2441,2960,1966,950,5564,2916,3878,2035,2482,1027,1395,3617,3891,2686,5661,2023,1867,2560],[6363,2012,5163,0,2799,8064,7727,6878,6581,1402,5366,5946,4679,4378,6225,5709,8417,7578,8296,6135,4802,5707,4982,2322,4178,320,8186,7800,2778,7859,7408,3763,6461,4223,1427,7451,8263,7131,3669,6011,4638,1681,7987,7502,1877,6758,5360,2844],[3657,1842,2458,2799,0,5330,4946,4200,3824,2012,2573,3157,1924,1580,3427,3179,5749,4793,5577,3409,2223,3066,2185,1860,1401,2491,5486,5035,894,5141,4611,1669,3677,1590,3113,4682,5533,4352,1252,3227,2426,1169,5313,4706,3241,3962,2651,304],[3130,6977,3678,8064,5330,0,743,3209,2670,6929,2831,2266,3407,3854,2178,4076,727,881,293,1930,3310,3672,3315,6199,3932,7745,365,482,5774,261,1659,4513,1746,4431,7910,769,207,2225,4435,2681,5053,6384,550,1224,7805,1670,2704,5230],[2414,6501,3071,7727,4946,743,0,2468,1952,6673,2380,1795,3051,3405,1604,3382,1469,168,1020,1681,3110,2993,2827,6009,3552,7412,1104,267,5300,821,916,4348,1270,3890,7698,332,900,1484,4185,2049,4415,6051,1219,482,7635,1054,2432,4884],[563,5187,1742,6878,4200,3209,2468,0,718,6203,2241,2051,2920,2762,1687,1304,3932,2331,3487,2669,3487,1175,2260,5840,3141,6596,3563,2728,4120,3240,1559,4507,2082,2658,7304,2512,3364,985,4091,1319,2544,5358,3632,1987,7391,1785,2879,4296],[463,5028,1444,6581,3824,2670,1952,718,0,5789,1602,1343,2330,2291,970,1451,3376,1796,2959,1951,2835,1112,1725,5346,2628,6285,3007,2193,3889,2661,1122,3920,1372,2391,6883,1927,2845,611,3543,676,2590,4993,3039,1486,6934,1112,2196,3876],[5654,2327,4462,1402,2012,6929,6673,6203,5789,0,4392,4947,3648,3501,5274,5183,7216,6535,7140,5022,3621,5077,4090,922,3207,1131,7014,6714,2437,6707,6477,2476,5432,3599,1102,6376,7121,6284,2497,5160,4318,937,6795,6507,1268,5773,4249,1914],[1713,4148,1184,5366,2573,2831,2380,2241,1602,4392,0,586,766,1029,883,2040,3353,2224,3100,1049,1246,1625,503,3841,1196,5054,3042,2488,2945,2676,2087,2331,1114,1650,5459,2132,3037,1958,1997,931,2513,3701,2923,2137,5459,1394,711,2534],[1604,4723,1520,5946,3157,2266,1795,2051,1343,4947,586,0,1299,1612,406,2208,2824,1639,2542,694,1586,1767,1050,4357,1770,5633,2498,1907,3520,2128,1558,2778,531,2171,6003,1552,2472,1538,2506,791,2912,4277,2403,1564,5983,827,892,3109],[2368,3635,1498,4679,1924,3407,3051,2920,2330,3648,766,1299,0,646,1642,2446,3840,2905,3655,1488,730,2096,697,3076,533,4363,3567,3122,2453,3219,2842,1592,1791,1480,4706,2772,3610,2721,1232,1656,2550,3001,3403,2860,4697,2126,756,1836],[2201,3125,1103,4378,1580,3854,3405,2762,2291,3501,1029,1612,646,0,1853,2026,4349,3247,4119,1997,1341,1753,606,3078,419,4070,4052,3517,1923,3690,3032,1866,2142,838,4593,3161,4060,2788,1380,1663,1932,2736,3915,3138,4647,2395,1351,1592],[1290,4907,1501,6225,3427,2178,1604,1687,970,5274,883,406,1642,1853,0,2029,2803,1438,2466,986,1987,1593,1253,4716,2072,5915,2454,1764,3710,2082,1204,3164,497,2287,6342,1419,2379,1134,2867,554,2885,4569,2405,1289,6338,555,1297,3406],[1004,3930,951,5709,3179,4076,3382,1304,1451,5183,2040,2208,2446,2026,2029,0,4759,3220,4368,2900,3151,442,1765,4960,2444,5443,4396,3610,2932,4034,2572,3891,2525,1590,6278,3313,4261,2033,3398,1476,1241,4287,4390,2928,6419,2428,2749,3337],[3833,7463,4298,8417,5749,727,1469,3932,3376,7216,3353,2824,3840,4349,2803,4759,0,1601,477,2359,3617,4345,3851,6433,4372,8098,370,1206,6267,726,2384,4754,2335,4991,8148,1452,609,2949,4752,3331,5687,6746,437,1948,8005,2334,3098,5618],[2258,6338,2903,7578,4793,881,168,2331,1796,6535,2224,1639,2905,3247,1438,3220,1601,0,1165,1563,2988,2829,2666,5882,3401,7263,1233,399,5138,923,794,4227,1117,3724,7565,286,1049,1348,4051,1881,4248,5903,1322,355,7508,887,2302,4736],[3419,7243,3967,8296,5577,293,1020,3487,2959,7140,3100,2542,3655,4119,2466,4368,477,1165,0,2170,3520,3965,3588,6393,4183,7977,202,767,6041,438,1932,4706,2027,4711,8107,1061,132,2503,4652,2972,5344,6617,486,1501,7989,1962,2939,5469],[2267,5105,2169,6135,3409,1930,1681,2669,1951,5022,1049,694,1488,1997,986,2900,2359,1563,2170,0,1430,2460,1547,4333,2019,5817,2079,1694,3910,1733,1813,2668,654,2694,6029,1366,2130,1991,2525,1474,3542,4455,1923,1641,5957,1071,777,3302],[2957,4043,2209,4802,2223,3310,3110,3487,2835,3621,1246,1586,730,1341,1987,3151,3617,2988,3520,1430,0,2779,1387,2905,1062,4482,3398,3119,2922,3087,3115,1240,1953,2175,4607,2796,3501,3119,1136,2173,3268,3136,3189,3029,4527,2355,711,2042],[720,4022,652,5707,3066,3672,2993,1175,1112,5077,1625,1767,2096,1753,1593,442,4345,2829,3965,2460,2779,0,1401,4781,2166,5427,3984,3212,2946,3620,2224,3603,2089,1496,6178,2906,3861,1719,3132,1040,1479,4211,3969,2553,6290,2012,2336,3189],[1700,3677,828,4982,2185,3315,2827,2260,1725,4090,503,1050,697,606,1253,1765,3851,2666,3588,1547,1387,1401,0,3621,903,4675,3537,2954,2475,3169,2427,2254,1578,1148,5177,2598,3521,2194,1833,1074,2054,3340,3423,2541,5213,1801,1077,2190],[5279,2863,4136,2322,1860,6199,6009,5840,5346,922,3841,4357,3076,3078,4716,4960,6433,5882,6393,4333,2905,4781,3621,0,2718,2042,6254,6024,2569,5966,5913,1687,4807,3384,1716,5699,6384,5787,1852,4687,4285,1272,6022,5892,1629,5178,3581,1639],[2578,3106,1518,4178,1401,3932,3552,3141,2628,3207,1196,1770,533,419,2072,2444,4372,3401,4183,2019,1062,2166,903,2718,0,3864,4097,3635,1932,3748,3274,1448,2284,1164,4286,3283,4136,3086,967,1973,2285,2507,3935,3331,4312,2589,1284,1340],[6076,1850,4873,320,2491,7745,7412,6596,6285,1131,5054,5633,4363,4070,5915,5443,8098,7263,7977,5817,4482,5427,4675,2042,3864,0,7866,7483,2515,7539,7101,3449,6146,3938,1375,7134,7944,6831,3349,5709,4397,1363,7667,7190,1798,6446,5041,2528],[3465,7173,3954,8186,5486,365,1104,3563,3007,7014,3042,2498,3567,4052,2454,4396,370,1233,202,2079,3398,3984,3537,6254,4097,7866,0,839,5973,374,2019,4569,1996,4669,7970,1085,305,2581,4532,2976,5339,6509,287,1581,7844,1974,2838,5369],[2654,6630,3254,7800,5035,482,267,2728,2193,6714,2488,1907,3122,3517,1764,3610,1206,399,767,1694,3119,3212,2954,6024,3635,7483,839,0,5427,558,1181,4349,1377,4044,7723,356,653,1744,4218,2241,4614,6121,955,743,7644,1231,2465,4957],[3625,1204,2446,2778,894,5774,5300,4120,3889,2437,2945,3520,2453,1923,3710,2932,6267,5138,6041,3910,2922,2946,2475,2569,1932,2515,5973,5427,0,5612,4824,2550,4050,1498,3476,5071,5980,4470,2096,3388,1911,1501,5831,4994,3704,4264,3209,1196],[3115,6814,3581,7859,5141,261,821,3240,2661,6707,2676,2128,3219,3690,2082,4034,726,923,438,1733,3087,3620,3169,5966,3748,7539,374,558,5612,0,1716,4280,1624,4298,7679,735,420,2263,4216,2606,4967,6179,400,1277,7567,1609,2501,5032],[1574,6001,2441,7408,4611,1659,916,1559,1122,6477,2087,1558,2842,3032,1204,2572,2384,794,1932,1813,3115,2224,2427,5913,3274,7101,2019,1181,4824,1716,0,4330,1180,3346,7545,1023,1808,578,4062,1438,3693,5763,2115,440,7537,763,2404,4603],[3951,3447,2960,3763,1669,4513,4348,4507,3920,2476,2331,2778,1592,1866,3164,3891,4754,4227,4706,2668,1240,3603,2254,1687,1448,3449,4569,4349,2550,4280,4330,0,3184,2510,3402,4031,4698,4281,533,3245,3612,2187,4339,4265,3296,3576,1941,1381],[1748,5253,1966,6461,3677,1746,1270,2082,1372,5432,1114,531,1791,2142,497,2525,2335,1117,2027,654,1953,2089,1578,4807,2284,6146,1996,1377,4050,1624,1180,3184,0,2685,6475,1022,1952,1341,2963,1050,3358,4787,1926,1086,6436,422,1244,3619],[2142,2656,950,4223,1590,4431,3890,2658,2391,3599,1650,2171,1480,838,2287,1590,4991,3724,4711,2694,2175,1496,1148,3384,1164,3938,4669,4044,1498,4298,3346,2510,2685,0,4697,3693,4636,2975,1981,1909,1124,2718,4565,3548,4830,2839,2140,1751],[6755,3123,5564,1427,3113,7910,7698,7304,6883,1102,5459,6003,4706,4593,6342,6278,8148,7565,8107,6029,4607,6178,5177,1716,4286,1375,7970,7723,3476,7679,7545,3402,6475,4697,0,7393,8097,7370,3515,6249,5379,2001,7738,7556,461,6829,5267,3013],[2383,6274,2916,7451,4682,769,332,2512,1927,6376,2132,1552,2772,3161,1419,3313,1452,286,1061,1366,2796,2906,2598,5699,3283,7134,1085,356,5071,735,1023,4031,1022,3693,7393,0,965,1542,3883,1913,4286,5772,1121,600,7322,902,2128,4608],[3306,7183,3878,8263,5533,207,900,3364,2845,7121,3037,2472,3610,4060,2379,4261,609,1049,132,2130,3501,3861,3521,6384,4136,7944,305,653,5980,420,1808,4698,1952,4636,8097,965,0,2380,4629,2877,5250,6583,570,1380,7986,1866,2904,5432],[1029,5622,2035,7131,4352,2225,1484,985,611,6284,1958,1538,2721,2788,1134,2033,2949,1348,2503,1991,3119,1719,2194,5787,3086,6831,2581,1744,4470,2263,578,4281,1341,2975,7370,1542,2380,0,3952,1127,3197,5518,2658,1002,7395,951,2429,4380],[3530,3085,2482,3669,1252,4435,4185,4091,3543,2497,1997,2506,1232,1380,2867,3398,4752,4051,4652,2525,1136,3132,1833,1852,967,3349,4532,4218,2096,4216,4062,533,2963,1981,3515,3883,4629,3952,0,2873,3080,2012,4324,4046,3478,3328,1755,1000],[825,4564,1027,6011,3227,2681,2049,1319,676,5160,931,791,1656,1663,554,1476,3331,1881,2972,1474,2173,1040,1074,4687,1973,5709,2976,2241,3388,2606,1438,3245,1050,1909,6249,1913,2877,1127,2873,0,2374,4392,2943,1659,6285,1012,1563,3254],[2188,2756,1395,4638,2426,5053,4415,2544,2590,4318,2513,2912,2550,1932,2885,1241,5687,4248,5344,3542,3268,1479,2054,4285,2285,4397,5339,4614,1911,4967,3693,3612,3358,1124,5379,4286,5250,3197,3080,2374,0,3386,5284,3997,5585,3386,3125,2664],[4820,1591,3617,1681,1169,6384,6051,5358,4993,937,3701,4277,3001,2736,4569,4287,6746,5903,6617,4455,3136,4211,3340,1272,2507,1363,6509,6121,1501,6179,5763,2187,4787,2718,2001,5772,6583,5518,2012,4392,3386,0,6314,5837,2205,5095,3680,1169],[3489,7027,3891,7987,5313,550,1219,3632,3039,6795,2923,2403,3403,3915,2405,4390,437,1322,486,1923,3189,3969,3423,6022,3935,7667,287,955,5831,400,2115,4339,1926,4565,7738,1121,570,2658,4324,2943,5284,6314,0,1676,7603,1964,2662,5184],[1947,6186,2686,7502,4706,1224,482,1987,1486,6507,2137,1564,2860,3138,1289,2928,1948,355,1501,1641,3029,2553,2541,5892,3331,7190,1581,743,4994,1277,440,4265,1086,3548,7556,600,1380,1002,4046,1659,3997,5837,1676,0,7521,744,2325,4670],[6835,3472,5661,1877,3241,7805,7635,7391,6934,1268,5459,5983,4697,4647,6338,6419,8005,7508,7989,5957,4527,6290,5213,1629,4312,1798,7844,7644,3704,7567,7537,3296,6436,4830,461,7322,7986,7395,3478,6285,5585,2205,7603,7521,0,6805,5208,3102],[1542,5461,2023,6758,3962,1670,1054,1785,1112,5773,1394,827,2126,2395,555,2428,2334,887,1962,1071,2355,2012,1801,5178,2589,6446,1974,1231,4264,1609,763,3576,422,2839,6829,902,1866,951,3328,1012,3386,5095,1964,744,6805,0,1644,3928],[2379,4390,1867,5360,2651,2704,2432,2879,2196,4249,711,892,756,1351,1297,2749,3098,2302,2939,777,711,2336,1077,3581,1284,5041,2838,2465,3209,2501,2404,1941,1244,2140,5267,2128,2904,2429,1755,1563,3125,3680,2662,2325,5208,1644,0,2532],[3744,2088,2560,2844,304,5230,4884,4296,3876,1914,2534,3109,1836,1592,3406,3337,5618,4736,5469,3302,2042,3189,2190,1639,1340,2528,5369,4957,1196,5032,4603,1381,3619,1751,3013,4608,5432,4380,1000,3254,2664,1169,5184,4670,3102,3928,2532,0]]\n",
"noms_48villes={0:'Montgomery (Alabama)',1:'Phoenix (Arizona)',2:'Little Rock (Arkansas)',3:'Sacramento (California)',4:'Denver (Colorado)',5:'Hartford (Connecticut)',6:'Dover (Delaware)',7:'Tallahassee (Florida)',8:'Atlanta (Georgia)',9:'Boise (Idaho)',10:'Springfield (Illinois)',11:'Indianapolis (Indiana)',12:'Des Moines (Iowa)',13:'Topeka (Kansas)',14:'Frankfort (Kentucky)',15:'Baton Rouge (Louisiana)',16:'Augusta (Maine)',17:'Annapolis (Maryland)',18:'Boston (Massachusetts)',19:'Lansing (Michigan)',20:'St Paul (Minnesota)',21:'Jackson (Mississippi)',22:'Jefferson City (Missouri)',23:'Helena (Montana)',24:'Lincoln (Nebraska)',25:'Carson City (Nevada)',26:'Concord (N Hampshire)',27:'Trenton (N Jersey)',28:'Santa Fe (N Mexico)',29:'Albany (N York)',30:'Raleigh (N Carolina)',31:'Bismarck (N Dakota)',32:'Columbus (Ohio)',33:'Oklahoma City (Oklahoma)',34:'Salem (Oregon)',35:'Harrisburg (Pennsylvania)',36:'Providence (Rhode Is)',37:'Columbia (S Carolina)',38:'Pierre (S Dakota)',39:'Nashville (Tennessee)',40:'Austin (Texas)',41:'Salt Lake City (Utah)',42:'Montpelier (Vermont)',43:'Richmond (Virginia)',44:'Olympia (Washington)',45:'Charleston (W Virginia)',46:'Madison (Wisconsin)',47:'Cheyenne (Wyoming)'}\n",
"coordonnees_48villes={0:(6734,1453),1:(2233,10),2:(5530,1424),3:(401,841),4:(3082,1644),5:(7608,4458),6:(7573,3716),7:(7265,1268),8:(6898,1885),9:(1112,2049),10:(5468,2606),11:(5989,2873),12:(4706,2674),13:(4612,2035),14:(6347,2683),15:(6107,669),16:(7611,5184),17:(7462,3590),18:(7732,4723),19:(5900,3561),20:(4483,3369),21:(6101,1110),22:(5199,2182),23:(1633,2809),24:(4307,2322),25:(675,1006),26:(7555,4819),27:(7541,3981),28:(3177,756),29:(7352,4506),30:(7545,2801),31:(3245,3305),32:(6426,3173),33:(4608,1198),34:(23,2216),35:(7248,3779),36:(7762,4595),37:(7392,2244),38:(3484,2829),39:(6271,2135),40:(4985,140),41:(1916,1569),42:(7280,4899),43:(7509,3239),44:(10,2676),45:(6807,2993),46:(5185,3258),47:(3023,1942)}"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "989131ce",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 7 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def afficher_tournee(T,coordonnees_villes,noms_villes,taille_texte):\n",
" L=[]\n",
" for i in T:\n",
" L.append(coordonnees_villes[i])\n",
" p=plot(line(L))\n",
" for i in T:\n",
" p += plot(text(noms_villes[i],coordonnees_villes[i],\n",
" bounding_box={'boxstyle':'round', 'fc':'w'},\n",
" fontsize=taille_texte))\n",
" p.show(axes=False)\n",
"T=[0,3,1,2,4,0]\n",
"afficher_tournee(T,coordonnees_5villes,noms_5villes,10) #test"
]
},
{
"cell_type": "markdown",
"id": "7f49f69c",
"metadata": {},
"source": [
"# Exercice 1"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "8d796b1e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 7 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def tournee_gloutonne(M):\n",
" n = len(M)\n",
" T = [0] # Initialiser la tournée avec la première ville (par exemple, la ville 0)\n",
"\n",
" while len(T) < n:\n",
" i = T[-1] # Dernière ville visitée\n",
" distances_disponibles = [(j, M[i][j]) for j in range(n) if j not in T]\n",
" j_min, distance_min = min(distances_disponibles, key=lambda x: x[1])\n",
" T.append(j_min)\n",
"\n",
" T.append(T[0]) # Ajouter la ville de départ à la fin pour clôturer la tournée\n",
" return T\n",
"\n",
"\n",
"T = tournee_gloutonne(distances_5villes)\n",
"# Affichage de la tournée\n",
"afficher_tournee(T, coordonnees_5villes, noms_5villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "69ae1057",
"metadata": {},
"source": [
"## Affiche 20 villes"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "713c3b72",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 22 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T = tournee_gloutonne(distances_20villes)\n",
"# Affichage de la tournée\n",
"afficher_tournee(T, coordonnees_20villes, noms_20villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "fde50ef5",
"metadata": {},
"source": [
"## Affiche 48 villes"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "be05ba88",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 50 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T = tournee_gloutonne(distances_48villes)\n",
"# Affichage de la tournée\n",
"afficher_tournee(T, coordonnees_48villes, noms_48villes, 5)"
]
},
{
"cell_type": "markdown",
"id": "a7ff2ca3",
"metadata": {},
"source": [
"# Exercice 2"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "fe153a7b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAnMAAAHWCAYAAAAciQ/OAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8o6BhiAAAACXBIWXMAAA9hAAAPYQGoP6dpAABL5UlEQVR4nO3dd3jUZdbG8XuS0ELvM4AoiAgI0qUKoqggghRBAUXEsghixbUs2Bti7ysKSkeaFUUsVFERBUUQBKUoSJVOEpKZ94+z804CAZKQ5Jny/VxXLmAmmZxkXbhzfr/nHE8gEAgIAAAAESnOdQEAAADIOcIcAABABCPMAQAARDDCHAAAQAQjzAEAAESwBNcFAECsW7FihZYvX67U1FTXpTjj8XhUpUoVnXfeeYqLo88AZAdhDgAcGTlypB577DHt2bPHdSlho3Dhwmrfvr3ef/99Qh2QRR7mzAFA/nv22Wd111136ZxzztGgQYNUp04dFShQwHVZzvj9fm3evFlTp07V22+/rdatW2vBggWuywIiAmEOABwoV66cqlWrpoULF6pQoUKuywkr9913n0aMGKENGzaoSpUqrssBwh49bADIZxs3btTOnTt1ww03EOQyMXDgQPn9fr3wwguuSwEiAmEOAPLZ6tWrJUk1a9Z0XEl4qlq1qgoWLKjff//ddSlARCDMAUA+O3z4sCQpISFnZ9A8Hum993KxoDAUHx+vtLQ012UAEYEwBwBh5u+/pSFDpOrVpUKFpFNOkTp3lr74wnVluePtt6VSpVxXAUQPRpMAQBhZv15q1crCzlNPSWefLR0+LM2eLQ0eLP3668l/jpQUqWDBk38dAOGBzhwAhJFBg+wy6nffSZdfLtWsKZ11lnTHHdI332T+MX/9JV1xhVS6tFS2rHTZZRYKg/r3l7p2lZ54QqpUyV5z/Xr7PO++K517rlSkiNS0qbRmjbRkidSkiVSsmNShg7R9e+i1/H7p4YelKlWsa9iggfTpp6Hng687Y4bUrp2UmCjVry8tXmzPz50rXXuttGePvZ/HIz34YO59/4BYRJgDgDCxa5cFo8GDpaJFj34+s0uTBw9aaCpWTJo/X1q4MBTCUlJC7/fFF9KqVdKcOdJHH4Uef+ABadgw6YcfpIQEqXdv6d//ll54QVqwQFq3Trr//tD7v/CC9Mwz0tNPSz/9JF18sdSli/Tbbxnr+s9/pKFDpWXLLDz27i2lpkotW0rPPy+VKCFt2WJvQ4eexDcNAJdZASBcrF0rBQJSrVpZ/5jJk6W4OOnNN63LJUljxljwmztXuugie6xoUXuf4OXVYOdu6FALZJJ0660Wur74wi71StJ119k9bkFPPy3dfbd05ZX25xEjpK++soD2yiuh9xs6VOrUyX7/0EPWXVy71r62kiWtVq83618ngGOjMwcAYSI4wj0YyrJi6VILScWLW0euWDGpTBkpKcm6akH16mV+n9zZZ4d+X7Fi6H3TP7Ztm/1+715p8+ZQ0Atq1cq6fsd6XZ/Pfg2+DoDcRWcOAMLEGWdYkFu1yu5xywq/X2rcWJow4ejnypcP/T6zy7aSlH6DWDBEHvmY35/xY44Mm4HA0Y9l9rpHvg6A3EFnDgDCRJkydsnzlVekAweOfn737qMfa9TI7lerUEGqUSPjW8mSuVtfiRJ2gGLhwoyPf/21VLt21l+nYEGJEXJA7iHMAUAYefVVCzrnnCNNn25BbdUq6cUXpRYtjn7/vn2lcuXsBOuCBdIff0jz5tn9b3/+mfv13XWX3Sc3ZYq0erV0zz12yOHWW7P+GqedJu3fb/fm7dhhhzgA5ByXWQEgjFSrZidLH3tMuvNOO+1ZvrxdSn3ttaPfPzHRTrHefbfUvbu0b59UubJ0wQXWScttt9xi987deafdA1enjvTBB3aJOKtatpQGDrRxKjt32onazMaTzJkjtW1rQ5MzeytTJnv3FwLRyhMIBG+5BQDkh1mzZqlTp05asGCBWrdu7bqcsJSYmKjKlS9S06bvadMmadMmm6eXmpr+fY4d9IJvxYu7+xqA/EJnDgAQls46S5o4MfTntDRp61b9f7hL/7ZypW3J2LIldCpYsvsGjxf2qlSxgcnImW3btmnbtm3yOzzd4vF4VKZMGVWuXNlZDa4R5gDAES6MHFtm35v4eDuAUamS1KxZ5h93+LCNT8ks8C1ZYpspduzI+DHlyh0/8FWunPF0LqTp06drxIgRWrJkietS/l+dOnV0880366abbnJdSr4jzAFAPqtUqZIk62rgaPv371dSUpLKlCmT7Y8tUEA69VR7O5ZDh+xwSGaBb948+3XPntD7BwccV6167MBXsaKFzVgwadIk9e3bVxdeeKHGjx+v6tWrK97hF+/3+/XXX39p6tSpGjRokPbs2aN77rnHWT0ucM8cAOQzv9+v4sWLq1u3bho/frzrcsLOhAkTdNVVV2nevHlq06aNkxr27cs87KV/S38KNyHBOnjH6/CVKxf5BzYCgYBOP/10NWjQQNOmTVNcXHgNxbj99tv1xhtvaPv27UpMTHRdTr4hzAGAA127dtX777+vRx55RDfddJPKli3ruiTnUlJSNGvWLPXr10+FChXS9u3bXZd0TIGA9M8/GcPdxo0Z//znn3bZN6hwYbtH71hhr2rV3J8NmNt++ukn1a9fX3PmzFH79u1dl3OUtWvX6owzztD777+vLl26uC4n3xDmAMABv9+vFi1aaMmSJfJ4PCpbtqwKxPCNWX6/X//884+Sk5NVunRpLVu2TFWrVnVd1knx+218y/G6e5s3Z9yMUbz4iU/oumw4ffLJJ7rkkku0adMmValSxV0hxxAIBFSwYEG98MILGjRokOty8g33zAGAAx5PnF566Vs999wKzZgxUtu3b1DRoqmqUMHmysVargsG2muuuUaXXXZZ2F2+y4m4OLvXzuuVmjbN/H1SU+0EbmZBb9ky6cMP7QRvemXKnPjARqFCefM1pf1vdUdCQnjGB4/Ho4SEhP+vM1aE5/8aABClNm6Uxo+Xxo61DQo+X13deus7uvrqjAvuERsSEkIh7FiSk23GXmaXchctsl//+Sfjx1SsePzA5/PZ585N/fvbyrn33svd18WJEeYAII/t3WurucaNk776yi6Tde9uK7ouuCB2TkEiZwoVkqpXt7djOXDg2Jdy58yxX/fvD71/cMzL8QJf+fLWXUT4I8wBQB5IS5M+/9w6cDNnSklJUrt20ttvW5BjMwFyU9GiUq1a9paZQMDGrRwr8C1dar8mJ4c+pmDBow9s7N6d9ZoCAVvzNnCgNHRo6PEVK6Szz7a9w6efbt3GIUNsV29cnNShg/TSS9ZdlGzV23vv2Qq54cOtC9mxozRqFP8/CiLMAUAu+ukn68BNmGD3QtWqJd1/v9S37/EvpQF5yeORSpWyt2Ndzg8EpO3bMw97f/xhO4D//DN7n3PAAGnMmIxhbvRo6dxzLcgFAlLXrhZG582zewgHDbK9vXPnhj5m3ToLdB99ZGGuVy/pySdthzEIcwBw0v7+29ZOjR0rLV9u88R695b69ZMaN4782WKIDR6PVKGCvTVunPn7vP++ha+suvZa+2Hmu++kc86xUS3jx0sjR9rzn39uPwD98Ufoh51x42yV25IloYMjfr91tYOduKuvtk4eYc5wNRwAcuDgQWnSJOmSS+z04L332iWl99+3m9VffFFq0oQgh+iS3fs7fT6pUyfrxknWWUtKknr2tD+vWnX0AZA6dayDuGpV6LHTTst4SdXns7EvMIQ5AMgiv98uBV13nY2b6NPH7kN69VXrzk2dKnXpYvcaATDXXy9Nnmxr1MaMsUuowVl5gUDmP/Ac+fiRo3o8nozz+WIdl1kB4ATWrLFLP+PGSRs2SNWqSbffbpd6atRwXR0Q3i65xO6Je+016ZNP7N67oDp1QuNWgt25lSvth6Tatd3UG4kIcwCQiZ07pSlT7D64b7+1NUu9etl9cK1acfkUyMyePTbsOL0yZWwG3b332g8/LVqEnmvf3k629u0rPf986ABE27Z2mwKyhjAHAP+TkiLNmmUB7qOP7DJOx44W6jp3looUcV0hEN7mzpUaNsz42DXX2CGIxx+3063peTx2SnXIEKlNm4yjSZB17GYFENMCATtpN3as3deza5fUqJF14Hr3tpN9AMxHH32kzp07a8uWLfJ6vVn+uEWLpPPOs9EmwflxeaVIkSJ66qmnNGTIkLz9RGGEzhyAmLRhQ2it1po1Ng3/+uvtPri6dV1XB0SH5GS7H274cLtNIa+DXKwizAGIGXv3StOmWYCbN89O1PXoIb3yim1nYK0WkDVZvag3aZKd/m7QwA4Q5Qd/DB5zJcwBiGqpqRnXaiUnS+efL73zjq3VKlbMdYVA5ChZsqQkafv27fL5fCd8//797S2/7Nu3TykpKf9fZ6wgzAGISsuXW4CbMEHautXGHDz4oJ2aq1LFdXVAZGrcuLGKFi2qDz74QGeffbbrco7ywQcfSJLatm3ruJL8RZgDEDW2bAmt1frpJ1ur1aePHWZo1IhxIsDJSkxMVJ8+ffToo4+qatWq6tWrlwoXLuy6LKWmpmr27Nm65ZZbdMEFF+jUU091XVK+4jQrgIh28KCNNhg3TvrsMykhQbrsMjvI0KHD0ZPjAZyc5ORk9e7dWzNnzlRiYqJ8Pp8SEk6uN5SSYv/fjcvBXiq/36+tW7dq7969atGihWbNmqVSpUqdVD2RhjAHIOL4/TZFfuxYO9Cwb58N8u3Xz3Y+li7tukIg+v3666/6+OOPtW3btpM6dOD3S88+K110kQ0Qzi6Px6PSpUvroosuUqNGjeSJwRY8YQ5AxFi9OrRWa+NGqXp1C3BXXSWdfrrr6gDkVMWK0uDBNlwY2cc9cwDC2s6dNsx37Fgb7luypC3q7tdPatmS++CAaODzSX//7bqKyEWYAxB2kpOljz+2DtzHH9uWho4dpXfftbVaYXC/NYBc5PXaASbkDGEOQFgIBGyhfXCt1j//SI0bS08/LV15JWu1gGjm80m//uq6ishFmAPg1Pr1obVav/0mVa4s/etfdhq1Th3X1QHID16v9NVXrquIXIQ5APluz57QWq3586WiRW2t1muv2TJu1moBsSV4z1wgwH2wOUGYA5AvUlNtDty4cTYXLjlZat/eAl23bqzVAmKZ12t/J+zezWihnCDMAcgzgUBordbEibZWq04d6aGHbDMDa7UASNaZk6w7R5jLPsIcgFy3eXNordbPP0vly4fWajVsyGUUABkFw9yWLbZHGdlDmAOQKw4csMunY8dKn39ua7Quu0x64gmb7M5aLQDH4vXar4wnyRnCHIAc8/ulefNCa7X275fOPVd6/XVbqxVj6xEB5FCxYvbG4OCcIcwByLZff7UAN368tGmTrdK66y5bq1W9uuvqAEQiBgfnHGEOQJbs2BFaq7VkiXXdgmu1WrTgPjgAJ4eVXjlHmANwTMnJ0kcfhdZqSdIll9gl1U6dWKsFIPfQmcs5whyADAIB6ZtvrAM3ZYqt1WrSRHr2WVurVb686woBRCOfT/rlF9dVRCbCHABJ0h9/WAdu3Dhp7VqbATdwoK3VYlQAgLxGZy7nCHNADNuzR5o61bpwCxbYWq3LL5f++19bqxUX57pCALHC57MrAcnJUqFCrquJLIQ5IMYcPhxaq/X++1JKiq3VGjfO1moVLeq6QgCxKDhr7u+/pVNPdVtLpCHMATEgEJCWLQut1dq2TTrrLOnhh20zQ+XKrisEEOvSr/QizGUPYQ6IYn/9FVqrtWKFVKGC1Lev3QfXoAHjRACED7ZA5BxhDogyBw5IM2eG1moVLCh17SqNGGFrtRL4fz2AMFSunBQfz6y5nOCvdSAKpKVJc+fafW/Tplmga9NGeuMNO9DAWi0A4S4+3q4e0JnLPsIcEMFWrQqt1frzT6lGDenuu22tVrVqrqsDgOxhC0TOEOaACLN9e2it1vffS6VLh9ZqNW/OfXAAIhez5nKGMAdEgKQkW6s1dqz0ySf2WKdO0r332q/MZAIQDXw+6aefXFcReQhzQJgKBKTFi0NrtXbvls45R3ruOVurVa6c6woBIHf5fNLs2a6riDyEOSDM/P57aK3WunXSKadIgwbZOJFatVxXBwB5x+uVtm6V/H420GQHYQ4IA7t3h9ZqLVwoFStmp1BHjZLatuUvNQCxweezLTW7dnH1ITsIc4Ajhw/b5YTgWq3Dh6ULL5QmTLC5cImJrisEgPyVfnAwYS7rCHNAPgoEpB9/DK3V2r5dqldPevRRW6tVqZLrCgHAnfQrverVc1tLJCHMAfngzz+t4zZunPTLL1LFinYPXL9+Uv36rqsDgPDASq+cIcwBeWT//tBarS++sPEhXbtKI0fa5VTWagFARkWKSCVLMjg4u/jnBMhFaWnSV19ZB276dFur1batHWS4/HL7SwoAcGwMDs4+whyQC1auDK3V+usv6YwzpHvusbVap53mujoAiBys9Mo+whyQQ9u2hdZqLV1qa7V697Z74Zo1Y60WAOQEnbnsI8wB2ZCUJH34YWitVlycrdP6z3+kSy5hrRYAnCyfz079I+sIc8AJBALSokV2H9yUKdKePdZ5e+EFW3DPLCQAyD105rKPMAccw7p1obVav/8uVa0q3XyzXUY980zX1QFAdPL5pL17pYMHGZ6eVYQ5IJ1//gmt1Vq0SCpeXOrZU3rrLalNG9ZqAUBeC86a+/tvqXp1t7VECsIcYt7hw9Knn1qA++ADKTVVuugi29Bw2WX8ZAgA+Sn9FgjCXNYQ5hCTAgHphx8swE2aZGu16teXHn/c1moF/zIBAOQvtkBkH2EOMWXTptBarZUr7S+Nfv3sPjjWagGAe2XLSgUKMGsuOwhziHr790szZlgX7ssvpcKFba3WM89I7duzVgsAwonHw4nW7OKfMUSltDQLbsG1WgcPSuedZwcZevSQSpRwXSEA4Fi8Xjpz2UGYQ1T55ZfQWq3Nm6WaNaX77rO1Wqee6ro6AEBW+Hx05rKDMIeIt3WrHWIYN84ONZQpY2u1+vWTmjZlrRYARBqvV1qyxHUVkYMwh4iUlGRjRMaOtbEicXHSpZdKw4fbWq2CBV1XCADIKZ+Py6zZQZhDxAgEpIULrQP37ru2Vqt5c+mll6RevewEFAAg8nm9dtUlLU2Kj3ddTfgjzCHsrV0bWqv1xx9279uQITZOpGZN19UBAHKbzyf5/dKOHVLFiq6rCX+EOYSlXbus+zZunPT117ZWq1cvC3DnnstaLQCIZukHBxPmTowwh7CRkhJaq/Xhh7ZW6+KL7XBDly6s1QKAWJF+pRdOjDAHpwIB6fvvrQM3aZK11Bs0kJ54wtZqBX86AwDEjmA3jvEkWUOYgxObNtksuLFjpV9/tdDWv79dRj37bNfVAQBcKlTIxkzRmcsawhzyzb59obVaX31la7W6d5eef1664ALWagEAQljplXX884k8lZYmffGFBbgZM6RDh6R27aTRo22tVvHirisEAIQjZs1lHWEOeWLFCgtwEybYWq0zz5SGDZP69mWtFgDgxLxeacMG11VEBsIccs3WrdLEiXaY4ccfbYhvcK1Wkyas1QIAZJ3PJ337resqIgNhDifl0KHQWq3Zs21Sd+fO0gMPSB07slYLAJAz3DOXdYQ5ZJvfb2u1xo6Vpk6V9u6VWrSQXn7ZBvuWKeO6QgBApPP5pAMHpP37pWLFXFcT3ghzyLLffgut1Vq/XjrtNOnWW22cyBlnuK4OABBNgoODt2zh35gTIczhuHbtkqZMsQC3eLFUooR13/r1k1q1Yq0WACBvBIfG//03Ye5ECHM4SkqK9Mkndhn1o49svMjFF0uTJ9tarSJFXFcIAIh26TtzOD7CHCTZWq0lS0JrtXbulBo2lEaMsBOpLDoGAOSnkiVtEwRh7sQIczFu48bQWq3Vq6VKlaQBA+w+uHr1XFcHAIhVHg+Dg7OKMBeD9u6Vpk+3LtxXX0mJibZW66WXpPPPt/EiAAC4xniSrCHMxYi0NOnzz60DN3OmlJRka7XeftuCHGu1AADhhs5c1hDmotxPP1kHbsIE++mmVi3p/vttrdYpp7iuDgCAY/N6pUWLXFcR/ghzUejvv22t1tix0vLlUrlyobVajRuzVgsAEBnozGUNYS5KHDwovf++deFmz5YSEmyMyMMPSx06sFYLABB5vF5p+3YpNdX+XUPm+NZEML9fWrAgtFZr3z6pZUvp1VdtsG/p0q4rBAAg53w+G521bZtNW0DmCHMRaM2a0FqtDRukatWk22+3cSI1ariuDgCA3BHcArFlC2HueAhzEWLnztBarW++sWGK6ddqcR8cACDaBLdAcN/c8RHmwlhKijRrVmitlt8vdexooa5zZ9ZqAQCiW4UK1qxg1tzxEebCTCAgffedBbjJk23RfaNG0siRdiK1QgXXFQIAkD8KFLCJDHTmjo8wFyY2bAit1VqzRqpcWbr+ersPrm5d19UBAOAGWyBOjDDn0N690rRpdh/c3Lm2VqtHD+mVV2w7A2u1AACxjllzJ0aYy2epqRnXaiUn2z7Ud96xtVrFirmuEACA8OHz2RUrHBthLp8sX24BbuJE+wmjdm3pwQdtrVaVKq6rAwAgPHm90vz5rqsIb4S5PLRlS2it1k8/SeXLh9ZqNWrEOBEAAE7E57N/TwMB/t08FsJcLjt4UHrvPbsP7rPPbP3IZZdJjz0mXXyxncwBAABZ4/VKSUl2n3nJkq6rCU+EuVzg91sLeOxYO9Cwb58N8n3tNalnT9ZqAQCQU8HBwVu2EOaOhTB3ElavDq3V2rhRql5duvNO6aqrpNNPd10dAACRL/1Kr1q13NYSrghz2bRzpw3zHTvWhvuWKhVaq9WyJdfzAQDITaz0OrEshblAIJDXdYS15GTp44+tA/fxx5LkUceO0tSp0qWXSoULu64QAIDoVKyYzWFlcPCxHTPMJSUl6bnnntPUqVO1YsUKHT58OD/rCmvFi5dQfPz5Klr0RhUu3NF1OQAARC2Ph8HBJ5JpmEtKSlLXrl311VdfqWvXrhowYIASExPzu7aw5Pf7tXXrVs2cOVOdOnXSW2+9pWuvvdZ1WQAARC1Weh2fJ5DJNdQxY8bouuuu05w5c3TBBRe4qCvs+f1+DRgwQO+++662b9+uokWLui4JAICo1LOntHu3NGeO60rCU1xmD06fPl2tW7cmyB1HXFychg8frkOHDunTTz91XQ4AAFGLztzxZRrm1q1bpyZNmuR3LRHn9NNPV+nSpbV27VrXpQAAELW4Z+74Mg1zhw8fVqFChfK7lgzWr7ebHpctc1rGCRUqVIjDIQAA5CGv10aDpaS4riQ8ZRrmjqV/fwtYwbeyZaUOHWzvKAAAQF4IzprbutVtHeEqW2FOsvC2ZYu9ffGF7R699NKcF0DKBgAAx5N+CwSOlu0wV6iQfVO9XqlBA+nuu6VNm6Tt2+35n3+Wzj9fKlLEOnc33ijt3x/6+P79pa5dpSeekCpVkmrWtMe/+05q2NAG8DZpIv3449Gfe+VK6ZJLbIBgxYrS1VdLO3aEnv/0U6l1a9vKULashcx160LPz51rHcXdu0OPLVtmj61fb38eMEA6+2wbFCxJhw9LjRtLfftm9zsFAAByA1sgji/bYS69/fulCROkGjUsPB08aJ270qWlJUtsQ8Lnn0s335zx4774Qlq1yo4Yf/SRdOCABa8zz5SWLpUefFAaOjTjx2zZIrVtawHy++8tuG3daqu0gg4ckO64wz73F19IcXFSt26S35/1r+nFF+117rnH/jx8uAXGV1/NyXcIAACcrPLl7d90OnOZy/Zu1o8+ss6YZKHH57PH4uIs2B06ZHtLg2PXXn5Z6txZGjHCummSPffmm1LBgvbnN96Q0tKk0aNtZcdZZ0l//inddFPo8772mtSokfT446HHRo+WTjlFWrPGOnw9emSs9a23pAoVrKNXt27Wvr5ixaTx4y04Fi8uPfOMBcOSJbP7nQIAALkhPt7+Paczl7lsd+batbNLk8uWSd9+K110kdSxo7Rhg3Xb6tcPBTlJatXKOmOrV4ceq1cvFOSk0MelXzLRokXGz7t0qfTVVxa2gm+1atlzwUup69ZJffpI1atLJUpI1arZ4xs3Zu9rbNHCOoOPPCLdeafUpk32Ph4AAOQun4/O3LFkuzNXtKhdVg1q3Ni6VqNGSYGA3X+WmfSPH7ks4egdFEfz+0MdviMFr6V37mydulGj7H48v986csFDFnFxR3++zKaK+P3SokX2k8Bvv524NgAAkLe8Xjpzx3JS98xJFtLi4uzyap061rE7cCD0/KJF9nzwoENm6tSRli+31wj65puM79OokfTLL9Jpp1mYTP9WtKjNn1m1Sho2TLrgAql2bemffzK+Rvny9mv6ZJ/ZHLuRI+215s2TZs+WxozJwjcCAADkGTpzx5btMJecbMn4778t8AwZYgchOne2E5+FC0vXXCOtWGGXRYcMsVOnwfvlMtOnjwW+666z+9tmzZKefjrj+wweLO3aJfXubSdff/9d+uwzO32almaHLsqWtfvv1q6VvvzSDkOkV6OGde4efNDus/v4Y7snLr1ly6T777f77Vq1kl54Qbr1Vvt8AADADVZ6HVu2w9ynn1o69vmkZs1Cp1bPO8/ueZs920JX06bS5Zdbl+zll4//msWKSR9+aEGuYUPpP/85+nJqpUrW5UtLky6+2C6f3nqrXeKNi7O3yZPt3rq6daXbb7cOW3oFCkiTJkm//mr36I0YIT36aOj5pCQLpP37WziVLGC2b2+BNC0tu98tAACQG4IrvbJya1as8QQCR39batSooZ49e+qJJ55wUVNE8fl8Gjx4sIYNG+a6FAAAota0aVLPnjYurGxZ19WEl5O+Zw4AACCvMTj42I4Z5jJp2CETfJ8AAMh7rPQ6tkzDXGJiovbu3ZvftUQcv9+vffv2KTH9gDwAAJDrgmGOztzRMg1zTZs21Zw5c+g6ncDixYt18OBBnXPOOa5LAQAgqhUtapuZ6MwdLdMw16dPH61du1bDhg1TSnDiLjL466+/NHjwYFWtWlUtW7Z0XQ4AAFEveKIVGWV6mlWSnnrqKd19990qVaqUmjdvrsTERHmOtd4hhvj9fv3999/69ttvVbZsWX355Zeqm9XFrwAAIMfatpUqV5YmTnRdSXg5ZpiTpJ9++knvvvuuVqxYoaSkpPysK0e2bbOhv2ecEdrLmts8Ho9KlSqlCy64QN26dVNZzkcDAJAvrrzS/q3/8kvXlYSX44a5SDRsmPT449Inn9hwYQAAEB1uu82WE6xa5bqS8BJ1c+Yeekjq0MHWfrGCCwCA6ME9c5mLujAXHy9NmCCVKSN16yYdOOC6IgAAkBt8Pmn3bunQIdeVhJeoC3OSVLq0NHOmtHatdMMN7HEDACAaBGfNbd3qto5wE5VhTpLq1ZPGjJEmTZKee851NQAA4GQFV3oxay6jBNcF5KVevaSlS6W77pIaNJDOP991RQAAIKfYApG5qO3MBT32mIW4Xr2kDRtcVwMAAHKqbFkpIYHO3JGiPswlJEiTJ9sKkO7duWkSAIBIFRcnVaxImDtS1Ic5yZL8zJk2l2bgQA5EAAAQqRhPcrSYCHOS3TM3apQ0dqz08suuqwEAADnh9dKZO1LMhDlJ6tvXpkffcYc0f77ragAAQHbRmTtaTIU5SXrqKal1a6lnT+nPP11XAwAAsoPO3NFiLswVKCBNmSIVKiT16CElJbmuCAAAZJXPZ0OD/X7XlYSPmAtzklShgjRjhrR8uXTzzRyIAAAgUni9UlqatGOH60rCR0yGOUlq0kR6/XXprbekN95wXQ0AAMiK4BYI7psLidkwJ0n9+0uDB0tDhkhff+26GgAAcCLBLRDcNxcS02FOkp59VmrWzO6f4z8MAADCGyu9jhbzYa5gQWnqVJsqffnlUkqK64oAAMCxFC4slSpFAya9mA9zkqX86dOlJUtsDh0AAAhfzJrLiDD3P82bS6+8Ir32mh2KAAAA4cnnozOXHmEunRtusLdBg6TvvnNdDQAAyIzXS2cuPcLcEV56SWrYUOre3YYSAgCA8EJnLiPC3BEKFbL751JTpV69pMOHXVcEAADSozOXEWEuE5UrS9Om2ey5oUNdVwMAANLz+aR9+6QDB1xXEh4Ic8fQurX0/PPSiy9K48a5rgYAAAQxay4jwtxxDBpkWyJuvFH64QfX1QAAACm00ov75gxh7jg8HhtVUreu1K0bS30BAAgHrPTKiDB3AoUL24GIgwelK66wgxEAAMCd0qVtgxOXWQ1hLguqVpXefVeaN0+6917X1QAAENs8HuvO0ZkzhLksatdOevppe5s82XU1AADENlZ6hRDmsuHWW6W+faUBA6Tly11XAwBA7KIzF0KYywaPR3rjDenMM+1AxK5drisCACA20ZkLIcxlU2KiNGOGtGeP1KePlJbmuiIAAGIPnbkQwlwOVKtm983NmSMNH+66GgAAYo/PJ23fTlNFIszl2IUXSk8+KT3xhI0uAQAA+cfrlfx+ads215W4R5g7CUOHSr16SddcI/3yi+tqAACIHcEtENw3R5g7KR6P9NZbdtm1Wzdp927XFQEAEBtY6RVCmDtJxYpJM2fadfurrrKWLwAAyFsVKtivdOYIc7miRg1p4kRp1izpoYdcVwMAQPQrWFAqV47OnESYyzUdO0qPPCI9/LD0wQeuqwEAIPp5vXTmJMJcrrr3Xrt37qqrpF9/dV0NAADRzeejMycR5nJVXJz0zjtSlSoW6vbudV0RAADRi86cIczlsuLF7UDE5s02soQDEQAA5A06c4YwlwfOPFMaN0567z0bKgwAAHJfcKVXIOC6ErcIc3mkSxfpgQds3desWa6rAQAg+vh80qFD0r59ritxizCXh+6/X+rUSerTR1q71nU1AABEF6/Xfo31S62EuTwUF2eXWytUsAMR+/e7rggAgOjBSi9DmMtjpUrZvXPr10sDBnBdHwCA3EJnzhDm8kGdOjayZOpUaeRI19UAABAdSpSQihShM0eYyyfdu9tQ4XvvlebMcV0NAACRz+MJnWiNZYS5fPTII9KFF0pXXin98YfragAAiHw+H505wlw+io+XJk60++i6dZMOHnRdEQAAkY3OHGEu35UpYxsifvtNuuEGDkQAAHAy6MwR5pw4+2zprbesS/fCC66rAQAgcrHSS0pwXUCsuvJKaelSaehQqX59qV071xUBABB5vF5pxw7p8GGpQAHX1bhBZ86hJ56QzjtP6tVL2rjRdTUAAESe4ODgrVvd1uESYc6hhARp8mSpaFEbXXLokOuKAACILMHBwbF83xxhzrFy5aQZM6RffpFuuokDEQAAZEewMxfL980R5sJAo0bSG2/YlohXX3VdDQAAkaN8eRseHMudOQ5AhImrr7YDEbfdZqddzz3XdUUAAIS/hASpQgU6cwgTI0dKrVpJPXtKf/3luhoAACJDrA8OJsyFkQIFpClT7NcePaTkZNcVAQAQ/mJ9cDBhLsxUrGgHIpYtk4YMcV0NAADhj84cwk7TpnYQYtQoOxgBAACOLdY7cxyACFMDBkjffy/dfLNUr57UooXrigAACE/BzlwgYCdbYw2duTD2/PPWpevRI7bbxwAAHI/PJ6WkSLt3u67EDcJcGCtYUJo2zX7fs6f9hwoAADIKboGI1cYHYS7M+XzS9OnSd99Jd9zhuhoAAMJPcAtErN43R5iLAC1aSC+9JL3yijRmjOtqAAAIL7HemeMARIS48UY7EHHTTVLdunYvHQAAkIoVszc6cwhrHo/08stSgwZS9+7Stm2uKwIAIHz4fLHbmSPMRZBChexAREqK1KuXdPiw64oAAAgPXi+dOUSIKlWkqVOlRYukf//bdTUAAIQHOnOIKG3aSM89Z3Poxo93XQ0AAO7RmUPEGTxY6tfPDkb8+KPragAAcIvOHCKOxyO9/rpUu7bUrZu0Y4frigAAcMfrlf75R0pOdl1J/iPMRbAiRaQZM6QDB6Qrr5RSU11XBACAG7E8OJgwF+FOPVV6911p7lzpvvtcVwMAgBvBwcGEOUSkdu2kp56SRo60YAcAQKwJduZi8b45wlyUuP12qXdv6dprpZ9/dl0NAAD5q1w5KT6eMIcI5vFIb74pnXGG1LWr3QQKAECsiIuTKlbkMisiXGKiHYj45x+pb18pLc11RQAA5B+vl84cokD16tLkydLs2dIDD7iuBgCA/OPz0ZlDlLjoIunxx6XHHrNOHQAAsYDOHKLKv/8tXX65dM010sqVrqsBACDv0ZlDVPF4pDFjbA5dt27Snj2uKwIAIG8Fw5zf77qS/EWYi2LFikkzZ0pbt0pXXx17/3EDAGKL12vbkHbtcl1J/iLMRbkzzpAmTJA++kh65BHX1QAAkHdidXAwYS4GdOokPfyw9OCDFuoAAIhGsbrSizAXI+67T7rsMps/t2aN62oAAMh9wTBHZw5RKS5OGjvWWtBdu0r79rmuCACA3FWkiFSyJJ05RLESJaT33pP+/FPq318KBFxXBABA7vL56MwhytWqJY0bZ8OEn3zSdTUAAOQur5fOHGLAZZdJw4dL//mP9OmnrqsBACD30JlDzHjwQaljR6l3b2ndOtfVAACQO+jMIWbExdn8uXLlbEPEgQOuKwIA4OTRmUNMKVXKDkT8/rt03XUciAAARD6vV9q7Vzp40HUl+YcwF+POOkt6+21pyhTpmWdcVwMAwMkJboGIpUuthDno8sule+6R7r5b+vxz19UAAJBzsTg4mDAHSdKjj0rt20tXXimtX++6GgAAcobOHGJWfLw0aZINFu7WLbbuNQAARI8yZaQCBejMIUaVKSPNnCmtXi39618ciAAARB6PJ/bGkxDmkEH9+tJbb0njx0svveS6GgAAsi/WxpMkuC4A4ad3b+n776U77rBw17at64oAAMg6OnOApBEjLMT17Clt2uS6GgAAsi7WOnOEOWQqIUGaPFkqUkTq3l1KSnJdEQAAWUNnDvif8uXtQMSKFdKgQRyIAABEBp9P2rpVSktzXUn+IMzhuBo1kv77X2nMGOn1111XAwDAiXm9kt8v7djhupL8QZjDCfXrJw0ZIt1yi7RoketqAAA4vuDg4Fi5b44whyx55hmpRQtb/bV5s+tqAAA4tuBKr1i5b44whywpUECaOtU2RVx+uZSc7LoiAAAyV7Gi/UpnDjhCxYrS9OnS0qXSrbe6rgYAgMwVKmRbjejMAZlo1kx69VU7FPHmm66rAQAgc7E0a44NEMi2666zDRGDB0v16lnAAwAgnHi9sRPm6MwhR154QWrcWOrRI3ba2ACAyOHzxc6/T4Q55EjBgtK0aTaQsWdPKSXFdUUAAITQmQOyoFIlC3TffivdeafragAACKEzB2RRq1Z2yfXll6V33nFdDQAAxuuVDhyQ9u1zXUneI8zhpA0cKA0YIP3rXza2BAAA14JbIGKhO0eYw0nzeKRXXpHOPlvq1k3avt11RQCAWBdLK70Ic8gVhQvbQOHkZOmKK6TUVNcVAQBiWSyt9CLMIdeccor07rvS/PnS3Xe7rgYAEMtKlrRGA505IJvatpWefdbeJk50XQ0AIFZ5PNadozMH5MCQIdLVV0vXXy8tW+a6GgBArIqVlV6EOeQ6j8d2t9aqJXXvLu3c6boiAEAsojMHnIQiRaSZM6W9e6XevW1TBAAA+YnOHHCSTj1VmjJF+uIL6T//cV0NACDW0JkDcsEFF0hPPSWNGCFNneq6GgBALPH5bPZptI/LIswhz91xh3TlldK110orVriuBgAQK7xeKRCQtm1zXUneIswhz3k80ptvStWrS127Sv/847oiAEAsiJUtEIQ55IuiRe1AxK5d0lVXSX6/64oAANEuVrZAEOaQb04/XZo0SfrkE+nBB11XAwCIdhUq2NUhOnNALrr4Yumxx6RHHpHee891NQCAaFaggFSuHGEOyHX33CP16CH16yf9+qvragAA0czn4zIrkOs8HmnMGOmUU+xAxN69risCAEQrr5fOHJAnihe3AxFbtliHjgMRAIC8QGcOyEM1a0oTJkjvv2/30QEAkNtiYaUXYQ5OXXqp9NBD0gMPSB9/7LoaAEC0Ca70CgRcV5J3CHNwbtgwqXNnqW9f6bffXFcDAIgmPp+UlCTt2eO6krxDmINzcXHS2LFSxYp2IGLfPtcVAQCiRSwMDibMISyULGlz5zZulAYMiO52OAAg/8TCSi/CHMJG7drWoZs2TXrqKdfVAACiAZ05IJ9162b30N17rzR7tutqAACRrnhx2w9OZw7IRw8+KHXoIPXuLf3+u+tqAACRLniiNVoR5hB24uNt/lyZMtapO3DAdUUAgEgW7bPmCHMIS6VL24GIdeukG27gQAQAIOfozAGO1K0rjR4tTZokPfec62oAAJEq2jtzCa4LAI6nVy9p6VLprrukBg2k8893XREAINLQmQMce/xx6YILpCuukDZscF0NACDS+HzSzp1SSorrSvIGYQ5hLz7eLrUWKyZ17y4dOuS6IgBAJIn2WXOEOUSEsmWlmTOlVaukgQM5EAEAyLrgFgjCHOBYgwbSm2/aloiXX3ZdDQAgUgQ7c9F6CIIDEIgoffpI338v3XGHVL++1KaN64oAAOGufHkpLo7OHBA2nnpKat1a6tlT+vNP19UAAMJdfLxUsWL0duYIc4g4CQnSlClSoUJSjx5ScrLrigAA4S6ax5MQ5hCRKlSQZsyQli+XBg/mQAQA4PiieXAwYQ4Rq0kT6fXXpbfekt54w3U1AIBwRmcOCFP9+1tnbsgQ6euvXVcDAAhXdOaAMPbss1KzZnb/XLT+HxUAcHKCnblovC2HMIeIV7CgNHWqHTu//PLoXdcCAMg5n086fFjatct1JbmPMIeo4PVK06fbDLrbbnNdDQAg3ETzSi/CHKJG8+a2GeK11+xQBAAAQcGVXtF4Ow4bIBBVbrjBunODBkn16knnnOO6IgBAOKAzB0SQF1+UGjWSuneXtm51XQ0AIBwkJkolSkRnZ44wh6hTqJDdP5eaKvXqZTe8AgAQrbPmCHOISpUqSdOm2ey5oUNdVwMACAfROmuOMIeo1bq19MILdtl13DjX1QAAXPN6CXNAxLnpJunaa6Ubb5R++MF1NQAAl3w+LrMCEcfjkV59VapbV+rWTdqxw3VFAABX6MwBEapwYWnGDOnQIemKK+xgBAAg9vh80p499u9BNCHMISaccor07rvSvHnSvfe6rgYA4EJwcHC0XWolzCFmnHee9PTT9jZ5sutqAAD5LVoHBxPmEFNuvVXq21caMED66SfX1QAA8lO0rvQizCGmeDzSG29IZ55pByJ27XJdEQAgv5QpIyUk0JkDIl5iojRzprR7t9Snj5SW5roiAEB+iIuLzhOthDnEpNNOk6ZMkebMkYYPd10NACC/RONKL8IcYlb79tKTT0pPPGG7XAEA0S8aV3oR5hDThg6VevWSrrlG+uUX19UAAPIanTkgyng80ujRUvXqdiBi927XFQEA8hKdOSAKFS1qByK2b5euvlry+11XBADIK16vtHVrdP1dT5gDJJ1+ujRxovTxx9LDD7uuBgCQV3w+m2IQTbu6CXPA/3TsKD36qPTQQ9IHH7iuBgCQF6JxCwRhDkjn3nvt3rmrrpJ+/dV1NQCA3BaNWyAIc0A6Ho/0zjtSlSoW6vbudV0RACA3Vaxov9KZA6JY8eJ2IGLzZhtZEk03yQJArCtcWCpdms4cEPXOPFMaP1567z0bKgwAiB7RttKLMAccQ+fO0gMP2LqvTz5xXQ0AILf4fFxmBWLG/fdLnTpJffpIa9e6rgYAkBuibXAwYQ44jrg4u9xaoYIdiNi/33VFAICTFW0rvQhzwAmULGkHItavlwYMkAIB1xUBAE4GnTkgBtWpYyNLpk6VRo50XQ0A4GR4vXalJVquthDmgCzq3l267z4bLDxnjutqAAA5FRwcHC2XWhNcFwDkhf379+vjjz/Wl19+qd27d+fa6wYCdv/cpZdKF14oFS2aay+dazwej0qVKqX27dvrkksuUWJiouuSACCspF/pVaOG21pygycQ4A4gRJfVq1erXbt22rJli+rWrasKFSooLi53m9DBQcK5/LK5wu/3a8uWLVq1apVOPfVUzZ07V6eddprrsgAgbPzzj1SmjPTuu1LPnq6rOXl05hBV0tLS1KFDB5UuXVrz589XjWj4kSuHVq1apS5duqhTp05asWKFPB6P65IAICyUKiUVKhQ9l1nDsK8A5NyiRYu0fv16jRo1KqaDnCTVrl1br7zyilauXKlly5a5LgcAwobHE11bIAhziCqLFy9WiRIl1Lx5c9elhIV27dqpQIEC+vrrr12XAgBhJZpmzRHmEFUOHDigkiVL5vo9csczd679lJeL5yxyTYECBVSsWDHtj5bz9wCQS6Jp1hxhDlHnyHvDPJ7jv/Xv76bO/MK9cgBwtGjqzHEAAlEv/U9eU6bYvtXVq0OPFSmS/zUBANyiMwdEEK839FayZOjG1+DbxInS6adLBQtKZ54pjRsX+tj16+39058f2L3bHps799ifc/p06ayz7LTUaadJzzyT8XmPR3rvvYyPlSolvf22/T4lRbr5ZvvLpnBhe40nngi975490o032sy7EiWk88+Xli/P1rcFAGKa1ytt3y6lpbmu5OQR5hDTZs6Ubr1VuvNOacUK6V//kq69Vvrqq5y/5tKlUq9e0pVXSj//LD34oDR8eCioZcWLL0offGAzkFavlsaPt0An2eDiTp3s8sCsWfb5GjWSLrhA2rUr53UDQCzx+Wxm6LZtris5eVxmRUx7+mm7Z27QIPvzHXdI33xjj7drl7PXfPZZC1bDh9ufa9aUVq60na5ZvT9v40bpjDOk1q2ti3fqqaHnvvrKQuK2bdb5C34d770nTZtmHTsAwPEFt0Bs2RJa7xWp6Mwhpq1aJbVqlfGxVq3s8dx+zd9+y3o7v39/u7R75pnSLbdIn30Wem7pUlsOXbasVKxY6O2PP6R163JeNwDEkmjaz0pnDjHvyMOegUDoseCEk/RL7w4fPv7rpf/49I8d+TmPfCz96zZqZOHsk0+kzz+3y7bt21vnze+3v4Qyu2evVKnj1wYAMBUr2q/RcAiCMIeYVru2tHCh1K9f6LGvv7bHJal8eft1yxapYUP7/YmWKdSpY6+Z3tdf2+XW+PjQ66b/C+S336SDBzN+TIkS0hVX2Nvll0sdOtg9cY0a2U+SCQmh++gAANlToIBUrhydOSDi3XWXdb2CBwg+/FCaMcO6YZKNLWneXHrySQtOO3ZIw4Yd/zXvvFNq2lR65BELYosXSy+/LL36auh9zj/fHmve3Dptd99tf7EEPfecdd8aNLDu4NSpdn9HqVLWoWvRQuraVRoxwi7Fbt5shyG6dpWaNMnVbxEARK1oGU/CPXOIaV27Si+8YIcTzjpL+u9/pTFjpPPOC73P6NF2CbRJEzv5+uijx3/NRo3sFOrkyVLdujbX7uGHMx5+eOYZ6ZRTpDZtpD59pKFDpcTE0PPFillQa9LEguH69RbW4uLsEu2sWfaxAwZYx+/KK+19gpcNAAAnFi2Dgz2BwJF37gCR6/7779c777yjDRs2uC4lbJQtW1b//ve/dffdd7suBQDCyjXXSGvXSosWua7k5NCZAwAAMSlaOnOEOQAAEJOC98xF+jVKwhyiSkJCglJSUlyXEVaSk5MlFTjh+wFArPF6pUOHpH37XFdycghziCrVqlXT1q1btXnzZtelhIW1a9fqwIEDGjasmtq0sZO4n31mQ4cBINYFBwdH+olWwhyiyqWXXqqEhASNHDlSsX62JxAI6KmnnlKRIol64omLVaGC9MYb0sUX24iTZs1sNMuHH0r//OO6WgDIf8GVXpF+3xxz5hBVSpcurccff1x33XWXfv75Z3Xt2lUVK1ZUXFzs/Nzi9/u1ZcsWTZ8+XfPnz9drr72mgQNt7kkgIK1eLc2fL82bJ02aZHtdPR7p7LNt3EmbNtK55zLmBED0i5bOHKNJEJUmTpyoUaNGaf78+fL7/a7LyXfx8fFq166dBg4cqB49ehzz/QIBm08XDHfz54f2u9aqFQp3bdrYXDwAiCaBgFS0qPT449Jtt7muJucIc4hqqamp2h9jN4h5PB4VK1ZM8cHdYdn011/SggWhcLdypT1erVrGcHf66UfvoAWASHP66bYyccQI15XkHGEOwHFt3267ZoPhbtky+2m2UqWM4a52bdtQAQCRpFUrqUYN6Z13XFeSc4Q5ANmye7f09dehS7Pffy+lpkply2YMd/XrSzlsDgJAvrn8cmnvXjvpH6kIcwBOyoED0jffhMLdN99IyclSiRJS69ahcNe4sVSwoOtqASCjm2+2v7t+/tl1JTlHmAOQq5KTpSVLLNzNn287D/fvl4oUkVq0kNq2tXDXrJk9BgAuPfaY9PzzdktJpCLMAchTqanSjz+Gwt2CBTbXrkAB6ZxzQuGuZUupeHHX1QKINaNHS9ddZz+IRurVA8IcgHzl90srVoTC3bx50rZtdn9dw4ahcNe6tVSmjOtqAUS7WbOkTp2kTZukKlVcV5MzhDkATgUC0po1GcPdpk32XL16oXB37rmhae0AkFt+/FFq1Ej67jupaVPX1eQMYQ5A2AkOMg6+/fabPV6zpgW7YMCrWtVpmQCiwJYtNmrpgw+kzp1dV5MzhDkAYW/zZrvXLhjuVqywx089NWO4q1GDQcYAsictze6Ve+016cYbXVeTM4Q5ABFnxw4bZBwMdz/+aPfieb0Zw12dOgwyBnBiXq80aJB0//2uK8kZwhyAiLdnT2iQ8fz5Nhrl8GE7QHHuuaFwV7++lJDguloA4aZhQ6l5c+vORSLCHICoc/BgaJDx/PnS4sVSUpKNPmnVKhTumjSJ3FEEAHJPx45S4cLSzJmuK8kZwhyAqJecbGvHguFu4cLQIOPmzUOXZps1kxITXVcLIL8NGCCtXGk/BEYiwhyAmJOaKi1blnGQ8a5dNsi4adNQuGvZ0taSAYhu990nTZxoJ+kjEWEOQMzz+6Vffsk4627rVjs80bBhaL/suedKZcu6rhZAbnvpJWnoULsdIxJPxBPmAOAIgYC0dq2FumDA27DBnqtbNxTu2rSRfD63tQI4eVOnSr16WYe+dGnX1WQfYQ4AsmDDBrscGwx4a9bY42ecEQp2bdva7DsAkWXhQuu8//KLjTSKNIQ5AMiBv//OGO5+/tker1o1Y+euZs3IvGwDxJK1a+0Hsy++kM4/33U12UeYA4BcsGuX/XQfDHc//GD34lWsmDHc1a3LIGMg3Ozfb6OLxo+X+vZ1XU32EeYAIA/s3Wvz7YLh7rvvbJBx6dJ2OScY7ho2ZJAxEA6KF5cefFC6807XlWQfYQ4A8sGhQ9K334bC3eLF9lixYjbIOBjumjaVChVyXS0Qe2rWlLp0kZ5+2nUl2UeYAwAHUlKkpUtDo1AWLpT27bMp9MFBxm3a2O+LFnVdLRD92raVqlSRJkxwXUn2EeYAIAykpUnLl4fC3YIF0s6ddgk2OMi4TRvr4pUs6bpaIPpccYW0Y4cdgog0hDkACEN+v7RqVSjczZ8vbdlihycaNMg4yLhcOdfVApHvttukzz6ztV6RhjAHABEgEJDWrcsY7oKrh846K+OJ2UqVnJYKRKQnn5SeespOpkcawhwARKiNGzPOulu92h6vUSNjuDvtNGbdASfyzjtS//52MKlwYdfVZA9hDgCixNatFu6CK8h++sk6eqeckjHcnXkm4Q440uzZUocO1vGOtE0uhDkAiFK7dkmLFoXC3dKldtCiQoWM4a5ePQYZAz/9JNWvb2ODmjd3XU32EOYAIEbs22f/UAXD3bff2oiUUqWOHmRcoIDraoH8tW2bbWyZOVPq2tV1NdlDmAOAGHXokG2mCIa7r7+WDh60uXZHDjKOtHuIgOzy+6WCBaWXXpJuusl1NdlDmAMASLIu3Q8/hMLdggW2lqxQIalZMxuq2qaN1KIFg4wRnSpXlq6/XnroIdeVZA9hDgCQqbQ0u48oGO7mz7ehqgkJUuPGoXDXqpVdqgUiXZMmUqNG0htvuK4kewhzAIAsCQRCg4yD8+42b7aTsfXrW7Br29buvytf3nW1QPZdeqkdBvrgA9eVZA9hDgCQI4GA9PvvGTt3v/9uz9WuHQp3bdrY5Ssg3N1wg7RsmbRkietKsocwBwDINZs2ZZx1t2qVPV69esZwV60as+4QfoYPl95+2/47jiSEOQBAntm2LWO4W77cOnqVK2cMd7VqEe7g3quvSrfeKiUnR9bsRcIcACDf7N4tLVwYCnfff28HLcqXD826a9vWBhnHx7uuFrFmxgypRw9p+3apXDnX1WQdYQ4A4Mz+/UcPMk5OlkqWlFq3DoW7Ro0YZIy8t3ix1LKlneKuV891NVlHmAMAhI2kpKMHGR84ICUm2j+ywXB3zjkMMkbuW7/e7uecPVu66CLX1WQdYQ4AELYOH5Z+/NHGoAQHGe/ZY5P6mzULhbsWLaRixVxXi0iXlCQVKSK9847Ur5/rarKOMAcAiBhpadKKFaFwN3++3d8UH2+DjIPhrlUrqXRp19UiEpUuLd1zj3T33a4ryTrCHAAgYgUC0urVoSHG8+ZJf/1lJ2PPPju0X7ZNG6lCBdfVIhLUri116CA995zrSrKOMAcAiBqBgN33FAx38+dL69bZc7VqhYJd27ZSlSpOS0WYOv98C/6TJ7uuJOsIcwCAqPbXX3avXTDcrVxpj1erlrFzd/rpzLqD1KePrambO9d1JVlHmAMAxJTt223WXTDcLVtmHb1KlTKGuzp1CHex6M47pY8+ssv3kYIwBwCIabt32wiU4KXZ77+XUlNtaGxwkHGbNlL9+gwyjgUjR0qPPmqnpiMFYQ4AgHQOHJC++SYU7r75xgYZlygRGmTcpo2dni1Y0HW1yG3jx0tXXx2abxgJCHMAABxHcrK0ZEko3C1aFPqHvkWLULhr1sxmlCGyff65dOGFdnCmenXX1WQNYQ4AgGxITbVBxsFwt2CBXaotWNA2UwTDXcuWUvHirqtFdv3yi1S3rt1X2aqV62qyhjAHAMBJ8PttkHFwiPG8edK2bXZ/XaNGoXDXurVUpozranEiO3fa/ZLTpkk9eriuJmsIcwAA5KJAQFqzJmO427TJTsbWqxcKd+eeK3m9rqvFkQIBqVAh6dlnpZtvdl1N1hDmAADIY8FBxsG3336zx2vWtAHGwYBXtarTMvE/VavabtZHH3VdSdYQ5gAAyGebN9u9dsFwt2KFPX7qqRnDXY0azLpzoVkzu2/urbdcV5I1hDkAABzbscNuuA+Gux9/tHvxfL6jBxnHxbmuNvpddpkddPn4Y9eVZA1hDgCAMLNnT2iQ8fz5Nhrl8GGpbNmjBxknJLiuNvoMHCh99530ww+uK8kawhwAAGHu4MHQIOP586XFi6WkJBt9kn6QcZMmDDLODQ89JL3+urRli+tKsoYwBwBAhElOtrVjwXC3cKG0f78NLW7ePHTfXbNmkbPFIJz897/SoEFSSkpkrHAjzAEAEOFSU6Vly0LhbsECadcuqUABqWnTULhr2dLWkuH4PvjA7pvbsiUyxscQ5gAAiDJ+v20ySD/rbutWOzzRsGEo3LVubffhIaPvvrOu5o8/Sg0auK7mxAhzAABEuUDAZtuln3W3YYM9V7euBbu2be1whc/nttZwsGmTzZqbNUvq2NF1NSdGmAMAIAZt2JAx3K1ZY4+fcUYo3LVpY7PvYk1Kim2BGD1auvZa19WcGGEOAADo778zhruff7bHq1YNnZZt29bCXiwMMi5XTrrjDum++1xXcmKEOQAAcJRdu+yU7Lx5Fu5++MHuxatYMWO4O+us6BxkXLeudP750osvuq7kxAhzAADghPbutfl2wXD33Xc2yLh06dAg47Zt7cBANAwyvvBCqVQpaepU15WcGGEOAABk26FD0rffhsLd4sX2WLFiUqtWoXDXpIndfxZprr5aWr/exryEO8IcAAA4aSkp0tKloVEoCxdK+/ZJhQvbIOPgpdkWLbI2yNjv92vRokVatGiR9u/fn/dfwBG++EL69Vdp8OB8/9T/Lz4+Xj6fT507d1blypWP+X6EOQAAkOvS0qTly0PhbsECaedOuwTbtGko3LVqJZUsmfFj161bp4svvljr1q1TiRIlVKpUKXny+dSF329fQ4EC+fppM0hNTdXWrVuVmpqqgQMH6pVXXlFcJjcoEuYAAECe8/ulVatC4W7+fNuwEBdn99kFw13Tpklq2bKmihQpotGjR6tFixaZBphYsWfPHo0ePVp33nmnhg0bpocffvio9yHMAQCAfBcISOvWZQx369dL0nuSuumXX35RnTp1nNYYTm6++WbNnDlTmzZtOircEuYAAEBY2LhRuuGGW7R27adat26N63LCyueff64LL7xQq1atUq1atTI8F7t9SwAAEFaqVpW83j3y+Sq4LiXHzjtPuu220J9PO016/vnQnz0e6b33sv+6FSrY92T37t1HPUeYAwAAYeVYhx3697cwNHDg0c8NGmTP9e+fp6Wd0IwZ0iOP5P7rHu++QcIcAACIGKecIk2ebDPtgpKSpEmTrLN3Mg4fPrmPl6QyZaTixU/+dbKDMAcAACJGo0YW2mbMCD02Y4aFvIYNQ499+qnUurVtcShbVrr0UjtwEbR+vXXy3n3XLo0WLiyNHy9t2CB17mybLYoWtXVls2aFPm7lSumSS2w4csWKNlx4x47Q80deZj2Rv/6SrrjCPl/ZstJllwUPgmQdYQ4AAESUa6+VxowJ/Xn0aGnAgIzvc+CAdMcd0pIlNgA4Lk7q1s1GpKR3993SLbfY2JSLL7YhwcnJdrr255+lESMsuEk2SiW4suz77y0wbt0q9eqVs6/j4EGpXTt7/fnzbdBysWJShw42hDmromB7GgAAiCVXXy3de2+ou7ZokV16nTs39D49emT8mLfekipUsM5a3bqhx2+7TerePfTnjRvtY+vVsz9Xrx567rXXrDP4+OOhx0aPtq7gmjVSzZrZ+zomT7aQ+eab9nVIFlJLlbKv5aKLsvY6hDkAABBRypWTOnWS3nnH5tV16mSPpbdunTR8uPTNN3YZNNiR27gxY5hr0iTjx91yi3TTTdJnn0nt21uwO/tse27pUumrr0KduiM/X3bD3NKl0tq1R99jl5SU8ZLwiRDmAABAxBkwQLr5Zvv9K68c/XznztYxGzVKqlTJwlzdukdfvixaNOOfr7/eLrd+/LEFuieekJ55RhoyxF6jc2e79Hokny/7X4PfLzVuLE2YcPRz5ctn/XUIcwAAIOKkv6/s4oszPrdzp90D99//Sueea48tXJj11z7lFBt/MnCgXc4dNcrCXKNG0vTpNjsuIRcSVKNG0pQpdvm3RImcvw4HIAAAQMSJj7fAtmqV/T694MnQN96wy5hffmmHIbLittuk2bOlP/6QfvjBPrZ2bXtu8GBp1y6pd2/pu++k33+37t2AAVJaWva/hr597fLwZZdJCxbY55w3T7r1VunPP7P+OoQ5AAAQkUqUyLyjFRdnhwuWLrVLq7ffLo0cmbXXTEuz0Fa7tnX/zjxTevVVe65SJTtskZZm3cC6dS14lSxpnzO7EhPtFGvVqnYIo3ZtC4aHDmWvU8duVgAAEDauueYa/f7771qwYIHrUsLKihUrVK9ePS1evFjNmzfP8BydOQAAgAhGmAMAAIhghDkAABA24uPjlZqa6rqMsBP8nsQfedpDhDkAABBGKlWqpHXr1iktJ8dDo9jq1asl2ffnSIQ5AAAQNrp06aLt27dr+vTprksJG6mpqRo1apQaN26sypUrH/U8Q4MBAEDYaNq0qbp06aJ+/frp+++/V8eOHVWmTBl5gstLY0hqaqpWr16tN998U/PmzdOMGTMyfT9GkwAAgLCSkpKif//735o4caK2b9/uuhznmjZtqmHDhqlLly6ZPk+YAwAAYSk1NVVr167Vvn37XJfiRHx8vHw+n3wnWPxKmAMAAIhgHIAAAACIYIQ5AACACEaYAwAAiGCEOQAAgAhGmAMAAIhg/wdMHDA4aTiaDwAAAABJRU5ErkJggg==\n",
"text/plain": [
"Graphics object consisting of 7 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def eval(T, M):\n",
" distance = 0\n",
" for i in range(len(T) - 1):\n",
" distance += M[T[i]][T[i+1]]\n",
" distance += M[T[0]][T[-1]]\n",
" return distance\n",
"\n",
"def echange(T, i, j):\n",
" T_copy = T[:]\n",
" T_copy[i], T_copy[j] = T_copy[j], T_copy[i]\n",
" return T_copy\n",
"\n",
"def voisinage(T):\n",
" voisins = []\n",
" n = len(T) - 1\n",
" for i in range(1, n):\n",
" for j in range(i + 1, n):\n",
" voisin = echange(T, i, j)\n",
" voisins.append(voisin)\n",
" return voisins\n",
"\n",
"def DescenteGradient(M):\n",
" T0 = tournee_gloutonne(M)\n",
" T = T0.copy()\n",
"\n",
" while True:\n",
" voisins = voisinage(T)\n",
" meilleur_voisin = min(voisins, key=lambda voisin: eval(voisin, M))\n",
"\n",
" if eval(meilleur_voisin, M) < eval(T, M):\n",
" T = meilleur_voisin\n",
" else:\n",
" break\n",
"\n",
" return T\n",
"\n",
"\n",
"# Utilisation de l'algorithme de descente de gradient\n",
"T_descente = DescenteGradient(distances_5villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_descente, coordonnees_5villes, noms_5villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "f312e3bb",
"metadata": {},
"source": [
"## Affiche 20 villes"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "b8f01cf4",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 22 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_descente = DescenteGradient(distances_20villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_descente, coordonnees_20villes, noms_20villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "0ace5969",
"metadata": {},
"source": [
"## Affiche 48 villes"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "dd3ea66c",
"metadata": {},
"outputs": [],
"source": [
"solution = DescenteGradient(distances_48villes)\n",
"while eval (solution, distances_48villes) >= 19000:\n",
" solution = DescenteGradient(distances_48villes)\n",
"print (\"Meilleure solution:\", solution) \n",
"print(\"Longueur de la tournée:\", eval(solution, distances_48villes))\n",
"afficher_tournee(solution, coordonnees_48villes, noms_48villes, 5)\n",
"\n",
"T_descente = DescenteGradient(distances_48villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_descente, coordonnees_48villes, noms_48villes, 5)"
]
},
{
"cell_type": "markdown",
"id": "e3582386",
"metadata": {},
"source": [
"# Exercice 3"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "684927c7",
"metadata": {},
"outputs": [],
"source": [
"nb_generations=10\n",
"nb_croisements=100\n",
"taille_population=100\n",
"prob_mutation=0.05"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "34f7316f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 6 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Distance totale de la tournée : 1101\n"
]
}
],
"source": [
"def tournee_aleatoire(n):\n",
" tournee = list(range(n))\n",
" shuffle(tournee)\n",
" return tournee\n",
"\n",
"def eval(T, M):\n",
" distance = 0\n",
" for i in range(len(T) - 1):\n",
" distance += M[T[i]][T[i+1]]\n",
" return distance\n",
"\n",
"def selection_naturelle(S, p, M):\n",
" sorted_population = sorted(S, key=lambda T: eval(T, M))\n",
" return sorted_population[:p]\n",
"\n",
"def croisement(T1, T2):\n",
" n = len(T1) - 1\n",
" i = randrange(1, n) # Choisir un point de croisement entre 1 et n-1\n",
" enfant1 = T1[:i] + [v for v in T2 if v not in T1[:i]]\n",
" enfant2 = T2[:i] + [v for v in T1 if v not in T2[:i]]\n",
" return enfant1, enfant2\n",
"\n",
"def mutation(T, prob):\n",
" if randrange(0, 10000) / 10000 < prob:\n",
" i, j = randrange(1, len(T) - 1), randrange(1, len(T) - 1)\n",
" T_mutant = echange(T, i, j)\n",
" return T_mutant\n",
" else:\n",
" return T\n",
"\n",
"def AlgoGenetique(M, nb_generations, nb_croisements, taille_population, prob_mutation):\n",
" n = len(M)\n",
" population = [tournee_aleatoire(n) for _ in range(taille_population)]\n",
"\n",
" for _ in range(nb_generations):\n",
" population = selection_naturelle(population, taille_population // 2, M)\n",
"\n",
" for _ in range(nb_croisements):\n",
" parents = [population[randrange(0, len(population))] for _ in range(2)]\n",
" enfants = croisement(parents[0], parents[1])\n",
" population.extend(enfants)\n",
"\n",
" population = selection_naturelle(population, taille_population, M)\n",
"\n",
" for i in range(taille_population):\n",
" population[i] = mutation(population[i], prob_mutation)\n",
"\n",
" meilleure_tournee = min(population, key=lambda T: eval(T, M))\n",
" return meilleure_tournee\n",
"\n",
"# Utilisation de l'algorithme génétique\n",
"T_genetique = AlgoGenetique(distances_5villes, nb_generations, nb_croisements, taille_population, prob_mutation)\n",
"\n",
"# Calcul de la distance totale de la tournée obtenue\n",
"distance_totale = eval(T_genetique, distances_5villes)\n",
"\n",
"# Affichage de la tournée obtenue et de la distance totale\n",
"afficher_tournee(T_genetique, coordonnees_5villes, noms_5villes, 10)\n",
"print(f\"Distance totale de la tournée : {distance_totale}\")"
]
},
{
"cell_type": "markdown",
"id": "77becf17",
"metadata": {},
"source": [
"## Affiche 20 villes"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "cb728b1f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 21 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Distance totale de la tournée : 5963\n"
]
}
],
"source": [
"T_genetique = AlgoGenetique(distances_20villes, nb_generations, nb_croisements, taille_population, prob_mutation)\n",
"\n",
"# Calcul de la distance totale de la tournée obtenue\n",
"distance_totale = eval(T_genetique, distances_20villes)\n",
"\n",
"# Affichage de la tournée obtenue et de la distance totale\n",
"afficher_tournee(T_genetique, coordonnees_20villes, noms_20villes, 10)\n",
"print(f\"Distance totale de la tournée : {distance_totale}\")"
]
},
{
"cell_type": "markdown",
"id": "e929ba04",
"metadata": {},
"source": [
"## Affiche 48 villes"
]
},
{
"cell_type": "code",
"execution_count": 71,
"id": "2d604512",
"metadata": {},
"outputs": [
{
"ename": "KeyboardInterrupt",
"evalue": "",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)",
"Cell \u001b[0;32mIn [71], line 3\u001b[0m\n\u001b[1;32m 1\u001b[0m solution \u001b[38;5;241m=\u001b[39m AlgoGenetique(distances_48villes,Integer(\u001b[38;5;241m100\u001b[39m), Integer(\u001b[38;5;241m50\u001b[39m), Integer(\u001b[38;5;241m100\u001b[39m), RealNumber(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m0.05\u001b[39m\u001b[38;5;124m'\u001b[39m))\n\u001b[1;32m 2\u001b[0m \u001b[38;5;28;01mwhile\u001b[39;00m \u001b[38;5;28meval\u001b[39m (solution, distances_48villes) \u001b[38;5;241m>\u001b[39m\u001b[38;5;241m=\u001b[39m Integer(\u001b[38;5;241m40000\u001b[39m):\n\u001b[0;32m----> 3\u001b[0m solution \u001b[38;5;241m=\u001b[39m \u001b[43mAlgoGenetique\u001b[49m\u001b[43m \u001b[49m\u001b[43m(\u001b[49m\u001b[43mdistances_48villes\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mInteger\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m1000\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mInteger\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m50\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mInteger\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m100\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mRealNumber\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43m0.05\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 4\u001b[0m \u001b[38;5;28mprint\u001b[39m (\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mMeilleure solution:\u001b[39m\u001b[38;5;124m\"\u001b[39m, solution) \n\u001b[1;32m 5\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mLongueur de la tournée:\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;28meval\u001b[39m(solution, distances_48villes))\n",
"Cell \u001b[0;32mIn [11], line 36\u001b[0m, in \u001b[0;36mAlgoGenetique\u001b[0;34m(M, nb_generations, nb_croisements, taille_population, prob_mutation)\u001b[0m\n\u001b[1;32m 33\u001b[0m population \u001b[38;5;241m=\u001b[39m [tournee_aleatoire(n) \u001b[38;5;28;01mfor\u001b[39;00m _ \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(taille_population)]\n\u001b[1;32m 35\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m _ \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(nb_generations):\n\u001b[0;32m---> 36\u001b[0m population \u001b[38;5;241m=\u001b[39m \u001b[43mselection_naturelle\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpopulation\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtaille_population\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m/\u001b[39;49m\u001b[38;5;241;43m/\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mInteger\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m2\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mM\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 38\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m _ \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(nb_croisements):\n\u001b[1;32m 39\u001b[0m parents \u001b[38;5;241m=\u001b[39m [population[randrange(Integer(\u001b[38;5;241m0\u001b[39m), \u001b[38;5;28mlen\u001b[39m(population))] \u001b[38;5;28;01mfor\u001b[39;00m _ \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(Integer(\u001b[38;5;241m2\u001b[39m))]\n",
"Cell \u001b[0;32mIn [11], line 13\u001b[0m, in \u001b[0;36mselection_naturelle\u001b[0;34m(S, p, M)\u001b[0m\n\u001b[1;32m 12\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mselection_naturelle\u001b[39m(S, p, M):\n\u001b[0;32m---> 13\u001b[0m sorted_population \u001b[38;5;241m=\u001b[39m \u001b[38;5;28msorted\u001b[39m(S, key\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mlambda\u001b[39;00m T: \u001b[38;5;28meval\u001b[39m(T, M))\n\u001b[1;32m 14\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m sorted_population[:p]\n",
"Cell \u001b[0;32mIn [11], line 13\u001b[0m, in \u001b[0;36mselection_naturelle.<locals>.<lambda>\u001b[0;34m(T)\u001b[0m\n\u001b[1;32m 12\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mselection_naturelle\u001b[39m(S, p, M):\n\u001b[0;32m---> 13\u001b[0m sorted_population \u001b[38;5;241m=\u001b[39m \u001b[38;5;28msorted\u001b[39m(S, key\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mlambda\u001b[39;00m T: \u001b[38;5;28;43meval\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mT\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mM\u001b[49m\u001b[43m)\u001b[49m)\n\u001b[1;32m 14\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m sorted_population[:p]\n",
"Cell \u001b[0;32mIn [11], line 9\u001b[0m, in \u001b[0;36meval\u001b[0;34m(T, M)\u001b[0m\n\u001b[1;32m 7\u001b[0m distance \u001b[38;5;241m=\u001b[39m Integer(\u001b[38;5;241m0\u001b[39m)\n\u001b[1;32m 8\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(\u001b[38;5;28mlen\u001b[39m(T) \u001b[38;5;241m-\u001b[39m Integer(\u001b[38;5;241m1\u001b[39m)):\n\u001b[0;32m----> 9\u001b[0m distance \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m M[T[i]][T[i\u001b[38;5;241m+\u001b[39m\u001b[43mInteger\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m)\u001b[49m]]\n\u001b[1;32m 10\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m distance\n",
"File \u001b[0;32msrc/cysignals/signals.pyx:310\u001b[0m, in \u001b[0;36mcysignals.signals.python_check_interrupt\u001b[0;34m()\u001b[0m\n",
"\u001b[0;31mKeyboardInterrupt\u001b[0m: "
]
}
],
"source": [
"solution = AlgoGenetique(distances_48villes,100, 50, 100, 0.05)\n",
"while eval (solution, distances_48villes) >= 40000:\n",
" solution = AlgoGenetique (distances_48villes, 1000, 50, 100, 0.05)\n",
"print (\"Meilleure solution:\", solution) \n",
"print(\"Longueur de la tournée:\", eval(solution, distances_48villes))\n",
"afficher_tournee(T_genetique, coordonnees_48villes, noms_48villes, 5)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "6a17eb7d",
"metadata": {},
"outputs": [
{
"ename": "TypeError",
"evalue": "'NoneType' object is not iterable",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[0;32mIn [60], line 23\u001b[0m\n\u001b[1;32m 20\u001b[0m meilleure_tournee \u001b[38;5;241m=\u001b[39m tournée_actuelle\n\u001b[1;32m 22\u001b[0m \u001b[38;5;66;03m# Affichage de la meilleure tournée et de la meilleure distance\u001b[39;00m\n\u001b[0;32m---> 23\u001b[0m \u001b[43mafficher_tournee\u001b[49m\u001b[43m(\u001b[49m\u001b[43mmeilleure_tournee\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcoordonnees_48villes\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnoms_48villes\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mInteger\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m5\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 24\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mMeilleure distance totale : \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mmeilleure_distance\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n",
"Cell \u001b[0;32mIn [3], line 3\u001b[0m, in \u001b[0;36mafficher_tournee\u001b[0;34m(T, coordonnees_villes, noms_villes, taille_texte)\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mafficher_tournee\u001b[39m(T,coordonnees_villes,noms_villes,taille_texte):\n\u001b[1;32m 2\u001b[0m L\u001b[38;5;241m=\u001b[39m[]\n\u001b[0;32m----> 3\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m T:\n\u001b[1;32m 4\u001b[0m L\u001b[38;5;241m.\u001b[39mappend(coordonnees_villes[i])\n\u001b[1;32m 5\u001b[0m p\u001b[38;5;241m=\u001b[39mplot(line(L))\n",
"\u001b[0;31mTypeError\u001b[0m: 'NoneType' object is not iterable"
]
}
],
"source": [
"meilleure_distance = float('inf')\n",
"meilleure_tournee = None\n",
"\n",
"\n",
"while meilleure_distance <= 50502 :\n",
" \n",
" nb_generations = 20\n",
" nb_croisements = 100\n",
" taille_population = 100\n",
" prob_mutation = 0.05\n",
"\n",
" tournée_actuelle = AlgoGenetique(distances_48villes, nb_generations, nb_croisements, taille_population, prob_mutation)\n",
"\n",
" \n",
" distance_actuelle = eval(tournée_actuelle, distances_48villes)\n",
"\n",
" \n",
" if distance_actuelle < meilleure_distance:\n",
" meilleure_distance = distance_actuelle\n",
" meilleure_tournee = tournée_actuelle\n",
"\n",
"# Affichage de la meilleure tournée et de la meilleure distance\n",
"afficher_tournee(meilleure_tournee, coordonnees_48villes, noms_48villes, 5)\n",
"print(f\"Meilleure distance totale : {meilleure_distance}\")"
]
},
{
"cell_type": "markdown",
"id": "b59a2176",
"metadata": {},
"source": [
"# Exercice 4"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "f0bb419b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 6 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def fourmi(M, phero, v):\n",
" n = len(M)\n",
" villes = list(range(n))\n",
" villes.remove(v) # Retirer la ville de départ de la liste des villes à visiter\n",
" tournee = [v] # Initialiser la tournée avec la ville de départ\n",
"\n",
" while villes:\n",
" scores_villes = [phero[tournee[-1]][x] ** 0.9 / M[tournee[-1]][x] ** 1.5 for x in villes]\n",
" prochain_ville = random.choices(villes, weights=scores_villes)[0]\n",
" tournee.append(prochain_ville)\n",
" villes.remove(prochain_ville)\n",
"\n",
" return tournee\n",
"\n",
"def ColonieFourmis(M):\n",
" n = len(M)\n",
" NB_ITERATIONS = 50\n",
" NB_FOURMIS = 50\n",
" FACTEUR_EVAPORATION = 0.9\n",
"\n",
" phero = [[1.0] * n for _ in range(n)] # Initialiser les phéromones\n",
"\n",
" meilleure_tournee = None\n",
" meilleure_distance = float('inf')\n",
"\n",
" for _ in range(NB_ITERATIONS):\n",
" for _ in range(NB_FOURMIS):\n",
" ville_depart = random.randint(0, n - 1)\n",
" tournee = fourmi(M, phero, ville_depart)\n",
" distance_tournee = sum(M[tournee[i]][tournee[i + 1]] for i in range(n - 1))\n",
" \n",
" if distance_tournee < meilleure_distance:\n",
" meilleure_distance = distance_tournee\n",
" meilleure_tournee = tournee\n",
"\n",
" # Mettre à jour les phéromones\n",
" phero = [[(1 - FACTEUR_EVAPORATION) * p for p in ligne] for ligne in phero]\n",
" for i in range(n - 1):\n",
" phero[meilleure_tournee[i]][meilleure_tournee[i + 1]] += 1 / meilleure_distance\n",
" phero[meilleure_tournee[i + 1]][meilleure_tournee[i]] += 1 / meilleure_distance\n",
"\n",
" return meilleure_tournee\n",
"\n",
"# Utilisation de l'algorithme de colonie de fourmis\n",
"T_fourmis = ColonieFourmis(distances_5villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_fourmis, coordonnees_5villes, noms_5villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "fd8d1672",
"metadata": {},
"source": [
"## Affiche 20 villes"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "94f5a447",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 21 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_fourmis = ColonieFourmis(distances_20villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_fourmis, coordonnees_20villes, noms_20villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "eeaadc36",
"metadata": {},
"source": [
"## Affiche 48 villes"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "1fd90b9c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 49 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"T_fourmis = ColonieFourmis(distances_48villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"afficher_tournee(T_fourmis, coordonnees_48villes, noms_48villes, 5)"
]
},
{
"cell_type": "markdown",
"id": "a21adc27",
"metadata": {},
"source": [
"# Exercice 5 (Algorithme glouton par insertion).\n",
"Voici une variante de lalgorithme glouton de lexercice 1.\n",
"1. Choisir une première mini-tournée, de longueur 3 (par exemple au hasard, ou bien avec la méthode gloutonne de lexercice 1)\n",
"2. Tant quil reste des villes non visitées (pas encore placées dans T ) :\n",
"◦ choisir la ville j non encore visitée et une position dinsertion dans la tournée précédente en\n",
"minimisant la longueur de la tournée obtenue ◦ ajouter j à T à la bonne position\n",
"3. renvoyer T\n",
"Coder une fonction tournee_insertion(M)."
]
},
{
"cell_type": "code",
"execution_count": 57,
"id": "fa8b3fce",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0, 3, 4, 1, 2]\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 6 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def tournee_insertion(M):\n",
" n = len(M)\n",
" villes_non_visitees = set(range(1, n)) # Les villes non encore visitées\n",
"\n",
" # Étape 1: Choisir une première mini-tournée\n",
" tournee = [0, 1, 2]\n",
" villes_non_visitees.difference_update(tournee)\n",
"\n",
" # Étape 2: Continuer jusqu'à ce que toutes les villes soient visitées\n",
" while villes_non_visitees:\n",
" meilleure_longueur = float('inf')\n",
" meilleure_insertion = None\n",
"\n",
" # Parcourir toutes les villes non visitées\n",
" for ville in villes_non_visitees:\n",
" # Parcourir toutes les positions d'insertion possibles\n",
" for i in range(1, len(tournee)):\n",
" t = tournee[:i] + [ville] + tournee[i:]\n",
" longueur_t = eval(t, M)\n",
"\n",
" # Mettre à jour la meilleure insertion\n",
" if longueur_t < meilleure_longueur:\n",
" meilleure_longueur = longueur_t\n",
" meilleure_insertion = (ville, i)\n",
"\n",
" # Insérer la ville à la meilleure position\n",
" ville, position = meilleure_insertion\n",
" tournee.insert(position, ville)\n",
" villes_non_visitees.discard(ville)\n",
"\n",
" return tournee\n",
"\n",
"\n",
"# Obtention de la tournée par insertion\n",
"T_insertion = tournee_insertion(distances_5villes)\n",
"print(T_insertion)\n",
"afficher_tournee(T_insertion, coordonnees_5villes, noms_5villes, 10)"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "ad80d9a3",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[2, 1, 0, 4, 3]\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"Graphics object consisting of 6 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def tournee_aleatoire(n):\n",
" tournee = list(range(n))\n",
" shuffle(tournee)\n",
" return tournee\n",
"\n",
"def eval(T, M):\n",
" distance = 0\n",
" for i in range(len(T) - 1):\n",
" distance += M[T[i]][T[i+1]]\n",
" return distance\n",
"\n",
"def echange(T, i, j):\n",
" T_mutant = T.copy()\n",
" T_mutant[i], T_mutant[j] = T_mutant[j], T_mutant[i]\n",
" return T_mutant\n",
"\n",
"def descente_recuit_simule(M):\n",
" n = len(M)\n",
" S = tournee_aleatoire(n) # Initialiser avec une tournée aléatoire\n",
" T = 100 # Température initiale\n",
" i = 0 # Compteur d'itérations\n",
"\n",
" while T > 0.01 and i < 1000: # Critères de convergence ajustés\n",
" T *= 0.99 # Refroidir la température\n",
" i += 1\n",
"\n",
" # Choisir deux indices aléatoires pour l'échange\n",
" i, j = randrange(1, n - 1), randrange(1, n - 1)\n",
"\n",
" S_prime = echange(S, i, j) # Générer une nouvelle solution voisine\n",
"\n",
" delta_distance = eval(S_prime, M) - eval(S, M)\n",
"\n",
" if delta_distance < 0 or random() < exp(-delta_distance / T):\n",
" S = S_prime\n",
"\n",
" return S\n",
"\n",
"# Test de l'algorithme avec recuit simulé sur les données d'exemple\n",
"distances_5villes = [\n",
" [0, 376, 377, 167, 475],\n",
" [376, 0, 244, 556, 646],\n",
" [377, 244, 0, 538, 404],\n",
" [167, 556, 538, 0, 314],\n",
" [475, 646, 404, 314, 0]\n",
"]\n",
"\n",
"# Utilisation de l'algorithme avec recuit simulé\n",
"T_recuit_simule = descente_recuit_simule(distances_5villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"print(T_recuit_simule)\n",
"afficher_tournee(T_recuit_simule, coordonnees_5villes, noms_5villes, 10)"
]
},
{
"cell_type": "markdown",
"id": "7cba5159",
"metadata": {},
"source": [
"# Exercice 7"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "b5025924",
"metadata": {},
"outputs": [
{
"ename": "TypeError",
"evalue": "list indices must be integers or slices, not tuple",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[0;32mIn [60], line 74\u001b[0m\n\u001b[1;32m 65\u001b[0m \u001b[38;5;66;03m# Test de l'algorithme avec l'exemple des 5 villes\u001b[39;00m\n\u001b[1;32m 66\u001b[0m distances_5villes \u001b[38;5;241m=\u001b[39m [\n\u001b[1;32m 67\u001b[0m [Integer(\u001b[38;5;241m0\u001b[39m), Integer(\u001b[38;5;241m376\u001b[39m), Integer(\u001b[38;5;241m377\u001b[39m), Integer(\u001b[38;5;241m167\u001b[39m), Integer(\u001b[38;5;241m475\u001b[39m)],\n\u001b[1;32m 68\u001b[0m [Integer(\u001b[38;5;241m376\u001b[39m), Integer(\u001b[38;5;241m0\u001b[39m), Integer(\u001b[38;5;241m244\u001b[39m), Integer(\u001b[38;5;241m556\u001b[39m), Integer(\u001b[38;5;241m646\u001b[39m)],\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 71\u001b[0m [Integer(\u001b[38;5;241m475\u001b[39m), Integer(\u001b[38;5;241m646\u001b[39m), Integer(\u001b[38;5;241m404\u001b[39m), Integer(\u001b[38;5;241m314\u001b[39m), Integer(\u001b[38;5;241m0\u001b[39m)]\n\u001b[1;32m 72\u001b[0m ]\n\u001b[0;32m---> 74\u001b[0m T_arbre \u001b[38;5;241m=\u001b[39m \u001b[43mtournee_arbre\u001b[49m\u001b[43m(\u001b[49m\u001b[43mdistances_5villes\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 76\u001b[0m \u001b[38;5;66;03m# Affichage de la tournée obtenue\u001b[39;00m\n\u001b[1;32m 77\u001b[0m \u001b[38;5;28mprint\u001b[39m(T_arbre)\n",
"Cell \u001b[0;32mIn [60], line 55\u001b[0m, in \u001b[0;36mtournee_arbre\u001b[0;34m(M)\u001b[0m\n\u001b[1;32m 52\u001b[0m graph[j]\u001b[38;5;241m.\u001b[39mappend((M[i][j], (j, i)))\n\u001b[1;32m 54\u001b[0m \u001b[38;5;66;03m# Appliquer l'algorithme de Prim pour obtenir un arbre couvrant de poids minimum\u001b[39;00m\n\u001b[0;32m---> 55\u001b[0m minimum_spanning_tree \u001b[38;5;241m=\u001b[39m \u001b[43mprim_algorithm\u001b[49m\u001b[43m(\u001b[49m\u001b[43mgraph\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 57\u001b[0m \u001b[38;5;66;03m# Utiliser un parcours en profondeur pour créer la tournée\u001b[39;00m\n\u001b[1;32m 58\u001b[0m visited \u001b[38;5;241m=\u001b[39m [\u001b[38;5;28;01mFalse\u001b[39;00m] \u001b[38;5;241m*\u001b[39m n\n",
"Cell \u001b[0;32mIn [60], line 29\u001b[0m, in \u001b[0;36mprim_algorithm\u001b[0;34m(graph)\u001b[0m\n\u001b[1;32m 26\u001b[0m visited[vertices[Integer(\u001b[38;5;241m1\u001b[39m)]] \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mTrue\u001b[39;00m\n\u001b[1;32m 28\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m edge \u001b[38;5;129;01min\u001b[39;00m graph[vertices[Integer(\u001b[38;5;241m1\u001b[39m)]]:\n\u001b[0;32m---> 29\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[43mvisited\u001b[49m\u001b[43m[\u001b[49m\u001b[43medge\u001b[49m\u001b[43m[\u001b[49m\u001b[43mInteger\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m)\u001b[49m\u001b[43m]\u001b[49m\u001b[43m]\u001b[49m:\n\u001b[1;32m 30\u001b[0m heapq\u001b[38;5;241m.\u001b[39mheappush(edges, edge)\n\u001b[1;32m 32\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m minimum_spanning_tree\n",
"\u001b[0;31mTypeError\u001b[0m: list indices must be integers or slices, not tuple"
]
}
],
"source": [
"import heapq\n",
"from collections import defaultdict\n",
"\n",
"def prim_algorithm(graph):\n",
" # Implementation of Prim's algorithm to find the minimum spanning tree\n",
" n = len(graph)\n",
" visited = [False] * n\n",
" edges = []\n",
"\n",
" start_vertex = 0\n",
" visited[start_vertex] = True\n",
"\n",
" for edge in graph[start_vertex]:\n",
" heapq.heappush(edges, edge)\n",
"\n",
" minimum_spanning_tree = set()\n",
"\n",
" while edges:\n",
" weight, vertices = heapq.heappop(edges)\n",
"\n",
" if visited[vertices[0]] and visited[vertices[1]]:\n",
" continue\n",
"\n",
" minimum_spanning_tree.add(vertices)\n",
" visited[vertices[0]] = True\n",
" visited[vertices[1]] = True\n",
"\n",
" for edge in graph[vertices[1]]:\n",
" if not visited[edge[1]]:\n",
" heapq.heappush(edges, edge)\n",
"\n",
" return minimum_spanning_tree\n",
"\n",
"def depth_first_search(graph, start_vertex, visited, tour):\n",
" # Recursive implementation of depth-first search\n",
" visited[start_vertex] = True\n",
" tour.append(start_vertex)\n",
"\n",
" for neighbor in graph[start_vertex]:\n",
" if not visited[neighbor[1]]:\n",
" depth_first_search(graph, neighbor[1], visited, tour)\n",
"\n",
"def tournee_arbre(M):\n",
" # Convertir la matrice de distances en un graphe pondéré complet\n",
" graph = defaultdict(list)\n",
"\n",
" n = len(M)\n",
"\n",
" for i in range(n):\n",
" for j in range(i + 1, n):\n",
" graph[i].append((M[i][j], (i, j)))\n",
" graph[j].append((M[i][j], (j, i)))\n",
"\n",
" # Appliquer l'algorithme de Prim pour obtenir un arbre couvrant de poids minimum\n",
" minimum_spanning_tree = prim_algorithm(graph)\n",
"\n",
" # Utiliser un parcours en profondeur pour créer la tournée\n",
" visited = [False] * n\n",
" tour = []\n",
" start_vertex = minimum_spanning_tree.pop()[0][0] # Choix arbitraire d'un sommet de départ\n",
" depth_first_search(graph, start_vertex, visited, tour)\n",
"\n",
" return tour\n",
"\n",
"# Test de l'algorithme avec l'exemple des 5 villes\n",
"distances_5villes = [\n",
" [0, 376, 377, 167, 475],\n",
" [376, 0, 244, 556, 646],\n",
" [377, 244, 0, 538, 404],\n",
" [167, 556, 538, 0, 314],\n",
" [475, 646, 404, 314, 0]\n",
"]\n",
"\n",
"T_arbre = tournee_arbre(distances_5villes)\n",
"\n",
"# Affichage de la tournée obtenue\n",
"print(T_arbre)\n"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "SageMath 10.1",
"language": "sage",
"name": "sagemath"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.1"
}
},
"nbformat": 4,
"nbformat_minor": 5
}