108 1 128 175 2 93 299 3 118 396 4 116 4102 5 122 5121 6 143 6110 7 131 798 8 117 882 9 100 9100 10 120 10102 11 123 1189 12 108 12115 13 137 1390 14 109 1493 15 112 15104 16 124 16105 17 125 1786 18 104 1892 19 111 1993 20 112 2075 21 93 21105 22 126 22113 23 134 23104 24 124 24116 25 137 25118 26 140 2698 27 118 2789 28 108 28106 29 127 29106 30 126 3096 31 115 3181 32 99 3297 33 117 33

10 PESO Q SE LLEVA 1999701 SOLVER NO PUDO RESOLVER POR CUESTIÓN DE VARIABLES11

256481001

2531411111100110110111011111

SOLUCIÓN ÓPTIMA DE

GAMS

SOLUCIÓN ÓPTIMA DE EVOLVER

i xi yi Dij 1 21 1.1139256 3.71105075 1 0 62.67891482 16.5257729 50.9781182 2 62.679 03 74.7825556 34.3455306 3 104.3 74.88937044 75.3746147 5.19425031 4 75.744 104.632715 70.8304086 17.178869 5 83.184 88.1038856 72.7256081 99.2004151 6 167.1 104.4221327 59.7369304 50.3952147 7 105.31 43.79406118 35.1847896 39.7534104 8 70.113 29.88372459 11.4993744 3.14645833 9 10.95 52.8580584

10 67.8395947 23.9600818 10 86.975 78.331858311 47.7492599 21.7322306 11 64.657 60.469374712 48.2497635 19.7454756 12 63.17 62.956633213 12.8025147 78.91171 13 86.889 31.656849914 90.9939879 34.8185675 14 120.99 90.627765715 79.2901395 19.5348979 15 94 94.207586916 23.279519 52.2232734 16 70.678 7.9989013317 53.9811396 5.56962798 17 54.726 82.863856918 62.3889889 60.6311228 18 118.2 55.516220619 99.4232002 13.6783959 19 108.28 120.1971520 35.4167302 57.4785607 20 88.07 25.391399921 37.0372631 88.4426405 21 120.65 57.976012522 32.1176794 53.0747398 22 80.367 17.688528123 47.2701193 4.37940611 23 46.825 77.343058624 31.2936796 53.8193915 24 80.288 17.6091825 32.4503311 39.9151585 25 67.541 26.987517926 91.5005951 52.6474807 26 139.32 76.644184727 57.963805 16.318247 27 69.457 76.097903428 46.6139714 4.8219245 28 46.611 76.244392229 37.3699149 4.87685781 29 37.422 66.945402430 96.9054231 17.2032838 30 109.28 114.15448531 77.0958586 55.302591 31 127.57 64.894558532 36.24073 29.114658 32 60.53 41.578417333 46.3179418 48.5885189 33 90.081 32.181768234 6.07013153 12.9490036 34 14.194 48.48475635 87.6705222 27.3842586 35 110.23 94.73860936 16.7607654 72.6218451 36 84.558 21.878719437 34.397412 7.06198309 37 36.634 61.787774338 26.9600513 67.9799799 38 90.115 27.4361439 49.5651112 20.5236976 39 65.264 63.49375940 21.5826899 43.345439 40 60.103 12.6895962

PROBLEMA TSP ES UN PROBLEMA DE ORDENAR PUES SE DEBE ORDENAR LA FORMA A RECORRER LOS NODOS, SELECCIONAR MÉTODO ORDER EN EVOLVER PARA ENCONTRAR UNA BUENA SOLUCIÓN.

41 52.9923399 99.978637 41 148.15 85.467085842 79.0643025 88.2717368 42 162.51 99.832148243 51.4755699 48.710593 43 95.361 37.217322344 68.489639 8.63063448 44 72.295 94.311349845 37.9711295 6.05182043 45 39.198 66.371654446 67.2322764 36.2163152 46 98.624 65.468306547 75.368511 58.6169012 47 129.16 66.48152148 39.7289956 54.9180578 48 89.822 27.143162349 30.3964354 0.94607379 49 32.047 63.90270750 68.0135502 71.6299936 50 134.82 72.1396527

SOLUCIÓN DISTANCIA RECORRIDA SOLUCIÓN18 18 20.0354015 131 31 5.04165777 947 47 20.3680532 3450 50 27.6924955 3742 42 17.2673727 296 6 20.5114902 45

41 41 27.4910733 2821 21 33.7656789 2313 13 10.2481155 1736 36 14.8411512 2738 38 19.4372387 1216 16 7.99890133 112 2 12.6895962 39

40 40 45.9089938 1034 34 14.1941588 51 1 10.9500412 159 9 21.0974456 35

49 49 10.1168859 1437 37 4.58388012 345 45 1.77617725 4629 29 9.29898984 728 28 1.09866634 4323 23 7.9012421 3317 17 21.7688528 484 4 10.3213599 20

44 44 10.8890042 225 5 10.8157598 24

15 15 25.9895627 1619 19 6.04266488 230 30 19.4158757 4035 35 29.0932951 2526 26 18.3355205 8

14 14 16.6844691 323 3 9.42106388 49

46 46 12.8635517 4410 10 17.5176244 427 27 12.6041444 1939 39 2.09356975 3012 12 2.48725852 2611 11 18.8909574 3132 32 11.6946928 478 8 2.89620655 18

25 25 13.492233 5022 22 1.56865139 4224 24 7.78221992 620 20 6.87276833 4148 48 12.9184851 2133 33 5.27970214 3843 43 9.94598224 367 7 12.8879666 13

TOTAL DISTANCE 695 TOTALSOLUCIÓN VMC

SOLUCIÓN EVOLVER 695

SOLUCIÓN VMC 798.86

676.96SOLUCIÓN ALGORITMO

EN WOLFRAM MATHEMATICA

JuankZBk:Nuevamente, este es el resultado que he obtenido por medio de Evolver.

3 4 5 6 7 8 9104.303 75.7438887 83.1843013 167.101047 105.307169 70.1132237 10.950041274.8894 104.63271 88.103885 104.422132 43.7940611 29.8837245 52.8580584

0 29.7433393 21.1188086 66.911832 31.0953093 45.0056459 94.482253529.7433 0 16.5288247 96.6551714 60.8386486 74.7489853 65.923032321.1188 16.5288247 0 83.9167455 44.3098239 58.2201605 73.363444966.9118 96.6551714 83.9167455 0 61.793878 96.9878231 157.2801931.0953 60.8386486 44.3098239 61.793878 0 35.1939451 95.486312445.0056 74.7489853 58.2201605 96.9878231 35.1939451 0 60.292367394.4823 65.9230323 73.3634449 157.28019 95.4863124 60.2923673 017.3284 26.3008515 9.77202673 80.1263466 34.5377972 48.4481338 77.153843839.6466 44.1633351 27.6345103 102.444533 40.6506546 30.5856502 54.835657841.1328 41.6760765 25.1472518 103.930784 42.136906 33.0729087 53.3494064106.546 136.28956 119.760735 80.2117985 75.450911 61.5405744 77.06839216.6845 45.2436903 37.8032777 82.6502274 46.8337046 60.7440413 111.16672319.3182 18.2561724 10.8157598 86.2300485 50.4135258 64.3238624 84.179204769.3808 99.1241188 82.595294 96.4232307 38.2854701 24.3751335 60.856959749.5773 21.7688528 28.4585101 112.375256 50.5813776 52.9801325 44.904934838.6792 68.4224982 51.8936735 48.9059114 12.8879666 48.0819117 108.37427945.3078 32.5327311 32.0932646 112.219611 76.4030885 90.3134251 98.455763462.4989 92.2421949 75.7133702 79.0307321 31.4035463 17.957091 78.249458391.8424 121.585742 105.056917 46.4461196 60.7470931 50.5417035 110.83407161.3941 91.1374248 74.6086001 86.7336039 30.2987762 16.3884396 70.546586557.4786 28.9193396 36.3597522 120.276498 58.4826197 47.4593341 37.003692762.9627 92.7060762 76.1772515 86.8129521 31.8674276 17.957091 70.467238447.9019 77.6451918 61.1163671 99.5605335 37.7666555 2.89620655 57.719657

35.02 63.5792108 56.1387982 65.3279214 34.0159307 69.2098758 129.50224334.846 28.5348064 13.7272256 97.6439711 35.8500931 46.2141789 59.6362194

57.6922 29.1329691 36.5733818 120.490127 58.6962493 46.3606677 36.790063266.8813 38.3220923 45.762505 129.67925 67.8853725 37.0616779 27.6009439.2651 33.5398419 26.0994293 106.176946 70.3604236 84.2707602 99.462874223.2704 51.8295846 44.389172 48.2680746 22.2663045 57.4602496 117.75261743.7727 63.0542924 46.5254677 106.570635 44.7767571 11.6946928 50.709555342.7076 72.4509415 55.9221168 77.0195624 15.2256844 19.9682608 80.260628190.109 77.0592364 68.9901425 152.906888 91.11301 55.9190649 15.2317881

19.8492 34.4859157 27.0455031 86.7610706 50.9445479 64.8548845 100.40894896.2981 126.041444 109.512619 82.5434126 65.2027955 51.2924589 74.736777967.6687 42.8449355 46.5498825 130.466628 68.67275 33.4788049 26.813562481.457 111.200293 94.6714682 76.985992 50.3616443 36.4513077 80.2941984

39.0393 41.1389508 24.610126 101.837214 40.0433363 33.6100345 55.442976262.1998 91.9431135 75.4142888 106.997894 45.2040162 17.1941282 50.2822962

PROBLEMA TSP ES UN PROBLEMA DE ORDENAR PUES SE DEBE ORDENAR LA FORMA A RECORRER LOS NODOS, SELECCIONAR MÉTODO ORDER EN EVOLVER PARA ENCONTRAR UNA BUENA SOLUCIÓN.

87.4233 117.166662 100.637837 20.5114902 56.3280129 78.0327769 138.32514458.208 86.7671743 79.3267617 17.2673727 57.2038942 92.3978393 152.69020737.672 67.4153874 50.8865627 71.7398602 9.94598224 25.2479629 85.5403302

32.0078 10.3213599 10.8890042 94.8057497 50.5172887 64.4276254 62.474440765.1051 38.2610553 43.9863277 127.903073 66.1091952 36.4879299 29.37711729.42106 39.1644032 22.6355785 68.4774316 21.6742454 35.584582 88.802758924.8573 53.4287545 45.9761345 43.2264168 23.853267 59.0472121 119.33957955.6261 85.3694266 68.8406018 77.2789697 24.5307779 19.7088534 80.001220777.7856 49.2263558 56.6667684 140.583514 78.7896359 43.5956908 21.097445644.0535 73.7968078 57.267983 32.2824793 29.5113987 64.7053438 124.997711

DISTANCIA RECORRIDA

11 10.9500412 INDICE(B2:F7;COINCIDIR(D9;A2:A7;0);COINCIDIR(D10;B1:F1;0))15 15.231788134 34.2143015 5.15762812 1.77617725

9,87 9.872737821 1.098666348 7.9012421

15 14.731284513 13.14127022 2.487258523 3.02438429

22 21.710867610 9.7720267311 10.815759816 16.229743311 10.757774617 16.68446919 9.42106388

22 21.674245410 9.945982245 5.27970214

13 12.91848517 6.872768338 7.702871792 1.56865139

10 9.610278638 7.99890133

13 12.689596214 14.29792173 2.89620655

12 11.694692834 34.012878846 45.777764210 10.321359933 32.53273116 6.04266488

41 40.849024917 17.05984685 5.04165777

15 14.993743717 16.623432128 27.692495517 17.267372721 20.511490227 27.491073331 30.539872415 14.841151210 10.2481155

TOTAL 711.975463SOLUCIÓN VMC 798.864711

0 20 40 60 80 100 1200

20

40

60

80

100

120

POSICIÓN

Axis Title

10 11 12 13 14 1586.9747002 64.6565142 63.1702628 86.8892483 120.987579 94.00006178.3318583 60.4693747 62.9566332 31.6568499 90.6277657 94.207586917.3284097 39.6465957 41.1328471 106.54622 16.6844691 19.318216526.3008515 44.1633351 41.6760765 136.28956 45.2436903 18.25617249.77202673 27.6345103 25.1472518 119.760735 37.8032777 10.815759880.1263466 102.444533 103.930784 80.2117985 82.6502274 86.230048534.5377972 40.6506546 42.136906 75.450911 46.8337046 50.413525848.4481338 30.5856502 33.0729087 61.5405744 60.7440413 64.323862477.1538438 54.8356578 53.3494064 77.068392 111.166723 84.1792047

0 22.318186 23.8044374 109.988708 34.0128788 15.875728622.318186 0 2.48725852 92.1262246 56.3310648 33.7382122

23.8044374 2.48725852 0 94.6134831 57.8173162 31.2509537109.988708 92.1262246 94.6134831 0 122.284616 125.86443734.0128788 56.3310648 57.8173162 122.284616 0 26.987517915.8757286 33.7382122 31.2509537 125.864437 26.9875179 072.8232673 54.9607837 57.4480422 37.1654408 85.1191748 88.698995932.248909 22.3944823 19.9072237 114.520707 66.2617878 39.2742698

42.1216468 53.5386212 55.0248726 67.8670614 54.4175542 57.997375441.8652913 59.7277749 57.2405164 151.853999 29.5693838 25.989562765.9413434 48.0788598 50.5661184 44.0473647 78.2372509 81.817072195.2848903 77.4224067 79.9096652 33.7656789 107.580798 111.16061964.8365734 46.9740898 49.4613483 45.1521348 77.1324808 80.71230240.1501511 17.8319651 16.3457137 108.999908 74.1630299 47.175511966.4052248 48.5427412 51.0299997 43.5834834 78.7011322 82.280953451.3443403 33.4818567 35.9691153 58.6443678 63.6402478 67.22006952.3483993 74.6665853 76.1528367 104.96231 18.3355205 45.323038417.5176244 15.6285287 13.1412702 107.754753 51.5305033 24.542985340.3637806 18.0455947 16.5593432 107.901242 74.3766594 47.389141549.5529038 27.2347179 25.7484664 98.6022523 83.5657826 56.578264735.8226264 53.68511 51.1978515 145.811335 23.526719 19.946897840.5987732 62.9169591 64.4032105 87.9024628 34.3821528 37.961973936.753441 18.8909574 21.3782159 73.2352672 60.4571673 52.629169646.15009 28.2876064 30.774865 63.8386181 58.4459975 62.0258187

72.7805414 50.4623554 48.976104 72.6950896 106.79342 79.805902323.2551042 45.5732902 47.0595416 126.395459 10.7577746 16.229743399.7405927 81.8781091 84.3653676 10.2481155 112.0365 115.61632150.3402814 28.0220954 26.535844 93.4446242 84.3531602 57.365642384.8994415 67.0369579 69.5242164 25.0892666 97.195349 100.7751721.7108676 3.02438429 2.09356975 95.1506088 55.7237465 30.713827965.642262 47.7797784 50.267037 44.3464461 77.9381695 81.5179907

90.8658101 83.4894864 84.9757378 61.2567522 103.161718 106.74153975.5363628 97.8545488 99.3408002 75.6218146 65.3828547 68.962675941.114536 30.7046724 32.1909238 68.8741722 53.4104434 56.9902646

15.9794916 33.8419752 31.3547166 125.9682 48.6922819 21.704763947.7767266 25.4585406 23.9722892 98.0285043 81.7896054 54.802087512.8635517 33.967101 35.4533525 97.1251564 25.1594592 28.739280442.1857356 64.5039216 65.990173 82.8608051 39.4238105 43.003631759.0685751 41.2060915 43.69335 50.9201331 71.3644826 74.944303760.4571673 38.1389813 36.6527299 95.5595569 94.4700461 67.482528247.8438673 70.1620533 71.6483047 62.4927519 59.7918638 63.3716849

INDICE(B2:F7;COINCIDIR(D9;A2:A7;0);COINCIDIR(D10;B1:F1;0))

0 20 40 60 80 100 1200

20

40

60

80

100

120

POSICIÓN

Axis Title

16 17 18 19 20 2170.6778161 54.7257912 118.195135 108.27662 88.0703146 120.6549277.99890133 82.8638569 55.5162206 120.19715 25.3913999 57.976012569.3807794 49.5773186 38.6791589 45.3077792 62.4988556 91.842402499.1241188 21.7688528 68.4224982 32.5327311 92.2421949 121.58574282.595294 28.4585101 51.8936735 32.0932646 75.7133702 105.056917

96.4232307 112.375256 48.9059114 112.219611 79.0307321 46.446119638.2854701 50.5813776 12.8879666 76.4030885 31.4035463 60.747093124.3751335 52.9801325 48.0819117 90.3134251 17.957091 50.541703560.8569597 44.9049348 108.374279 98.4557634 78.2494583 110.83407172.8232673 32.248909 42.1216468 41.8652913 65.9413434 95.284890354.9607837 22.3944823 53.5386212 59.7277749 48.0788598 77.422406757.4480422 19.9072237 55.0248726 57.2405164 50.5661184 79.909665237.1654408 114.520707 67.8670614 151.853999 44.0473647 33.765678985.1191748 66.2617878 54.4175542 29.5693838 78.2372509 107.58079888.6989959 39.2742698 57.9973754 25.9895627 81.8170721 111.160619

0 77.355266 47.5173193 114.688559 17.3924986 49.977111177.355266 0 63.4693442 53.5508286 70.4733421 99.8168889

47.5173193 63.4693442 0 83.9869381 30.1248207 53.1632435114.688559 53.5508286 83.9869381 0 107.806635 137.15018217.3924986 70.4733421 30.1248207 107.806635 0 32.584612649.9771111 99.8168889 53.1632435 137.150182 32.5846126 09.68962676 69.368572 37.8276925 106.701865 7.70287179 40.287484471.8344676 7.9012421 71.3705863 61.4520707 64.9525437 94.29609069.61027863 70.9372234 37.9070406 108.270516 7.78221992 40.366832521.478927 55.876339 50.654622 93.2096316 20.5298013 53.1144139

68.6452834 84.5973083 37.0952483 46.8916898 60.9149449 90.258491870.5893124 14.7312845 48.7380596 44.0992462 63.7073885 93.050935470.7358013 8.11487167 71.5842158 61.6657002 63.8538774 93.197424261.4368114 17.3039949 80.773339 70.8548235 54.5548875 83.8984344108.645894 54.5579394 77.9442732 6.04266488 101.76397 131.10751756.8956572 72.8476821 20.0354015 63.9515366 43.8550981 73.19864536.0698263 41.2854396 57.6647237 78.6187323 29.1879025 60.124515526.6731773 50.6820887 28.1136509 88.0153813 19.7912534 49.134800356.4836573 55.2903836 104.000977 94.082461 73.8761559 106.46076889.230018 55.5040132 58.5283975 25.4585406 82.3480941 111.691641

26.9173254 104.272591 57.6189459 141.605884 33.7992492 36.09729356.2791833 21.0760826 81.5607166 71.642201 51.4358959 84.020508419.4372387 89.4314402 42.7777947 126.764733 18.9580981 30.539872457.985168 19.370098 52.9313028 56.7033906 51.1032441 80.446791

10.5746635 70.1742607 58.0919828 107.507553 27.9671621 60.5517747

77.4681845 95.3978088 48.7441633 132.731101 60.0756859 27.491073391.8332469 107.785272 44.3159276 94.9522385 74.4407483 42.197943131.7087313 45.6465346 22.8339488 82.9798273 24.8268075 54.170354388.8027589 17.5695059 58.1011383 35.9813227 81.920835 111.26438260.8630634 16.4922025 78.9971618 69.0786462 53.9811396 83.324686459.9597156 43.897824 29.258095 54.728843 53.0777917 82.421338558.4826197 74.4346446 14.9937437 68.9931944 41.0901212 68.156987219.144261 63.6005737 28.3730583 100.933866 6.87276833 36.216315258.394116 28.2082583 91.6776025 81.7590869 61.5527818 94.1373943

64.1407514 80.0927763 16.6234321 89.3612476 46.7482528 47.788934

0 20 40 60 80 100 1200

20

40

60

80

100

120

POSICIÓN

Axis Title

22 23 24 25 26 2780.3674429 46.8245491 80.2880947 67.5405133 139.323099 69.457075717.6885281 77.3430586 17.60918 26.9875179 76.6441847 76.097903461.3940855 57.4785607 62.9627369 47.9018525 35.0199896 34.846034191.1374248 28.9193396 92.7060762 77.6451918 63.5792108 28.534806474.6086001 36.3597522 76.1772515 61.1163671 56.1387982 13.727225686.7336039 120.276498 86.8129521 99.5605335 65.3279214 97.643971130.2987762 58.4826197 31.8674276 37.7666555 34.0159307 35.850093116.3884396 47.4593341 17.957091 2.89620655 69.2098758 46.214178970.5465865 37.0036927 70.4672384 57.719657 129.502243 59.636219464.8365734 40.1501511 66.4052248 51.3443403 52.3483993 17.517624446.9740898 17.8319651 48.5427412 33.4818567 74.6665853 15.628528749.4613483 16.3457137 51.0299997 35.9691153 76.1528367 13.141270245.1521348 108.999908 43.5834834 58.6443678 104.96231 107.75475377.1324808 74.1630299 78.7011322 63.6402478 18.3355205 51.530503380.712302 47.1755119 82.2809534 67.220069 45.3230384 24.5429853

9.68962676 71.8344676 9.61027863 21.478927 68.6452834 70.589312469.368572 7.9012421 70.9372234 55.876339 84.5973083 14.7312845

37.8276925 71.3705863 37.9070406 50.654622 37.0952483 48.7380596106.701865 61.4520707 108.270516 93.2096316 46.8916898 44.09924627.70287179 64.9525437 7.78221992 20.5298013 60.9149449 63.707388540.2874844 94.2960906 40.3668325 53.1144139 90.2584918 93.0509354

0 63.8477737 1.56865139 13.492233 59.8101749 62.602618563.8477737 0 65.4164251 50.3555406 92.4985504 22.63252661.56865139 65.4164251 0 15.0608844 61.3788263 64.171269913.492233 50.3555406 15.0608844 0 71.7825861 49.1103854

59.8101749 92.4985504 61.3788263 71.7825861 0 69.866023762.6026185 22.6325266 64.1712699 49.1103854 69.8660237 062.7491073 1.09866634 64.3177587 49.2568743 92.7121799 22.846156253.4501175 10.3976562 55.0187689 39.9578845 101.901303 32.0352794

100.6592 62.4591815 102.227851 87.1669668 40.8490249 39.826654947.2060305 80.7489242 47.2853786 60.03296 17.0598468 58.116397628.0831324 35.7646413 29.6517838 14.5908994 78.7926878 34.519486118.6864834 45.1612903 20.2551347 22.5409711 49.241615 43.916135166.1732841 49.7695853 66.093936 53.3463546 125.128941 55.26291781.2433241 63.4052553 82.8119755 67.751091 29.0932951 40.772728734.9040193 98.751793 33.3353679 48.3962523 94.7141942 97.506637848.2924894 15.5552843 49.8611408 34.8002564 102.688681 32.822656920.0628681 83.9106418 18.4942167 33.5551012 79.873043 82.665486649.9984741 18.4392834 51.5671255 36.506241 74.0592669 12.604144420.2642903 64.6534623 20.1849422 14.2979217 79.2199469 63.4083071

67.7785577 101.321451 67.8579058 80.6054872 85.8394116 88.631855282.1436201 115.686514 82.2229682 94.9705496 48.0605487 93.053987223.7220374 48.5366375 25.2906888 27.8206732 43.9619129 38.880581180.8160649 25.470748 82.3847163 67.3238319 67.0278024 18.213446552.8763695 10.9714042 54.4450209 39.3841365 100.125126 30.259102151.9730216 51.7990661 53.541673 38.4807886 40.6994842 29.166539548.792993 82.3358867 48.8723411 61.6199225 22.1015046 59.7033601

9.45463424 58.0797754 9.53398236 22.2815638 54.0421766 56.834620253.84991 20.3070162 53.7705618 41.0229804 112.805567 42.9395428

54.4511246 87.9940184 54.5304727 67.2780541 42.4695578 65.3614917

28 29 30 31 32 3346.6109195 37.4217963 109.283731 127.573473 60.5304117 90.081484476.2443922 66.9454024 114.154485 64.8945585 41.5784173 32.181768257.6921903 66.8813135 39.2651143 23.2703635 43.7726981 42.707602229.1329691 38.3220923 33.5398419 51.8295846 63.0542924 72.450941536.5733818 45.762505 26.0994293 44.389172 46.5254677 55.9221168120.490127 129.67925 106.176946 48.2680746 106.570635 77.019562458.6962493 67.8853725 70.3604236 22.2663045 44.7767571 15.225684446.3606677 37.0616779 84.2707602 57.4602496 11.6946928 19.968260836.7900632 27.60094 99.4628742 117.752617 50.7095553 80.260628140.3637806 49.5529038 35.8226264 40.5987732 36.753441 46.1500918.0455947 27.2347179 53.68511 62.9169591 18.8909574 28.287606416.5593432 25.7484664 51.1978515 64.4032105 21.3782159 30.774865107.901242 98.6022523 145.811335 87.9024628 73.2352672 63.838618174.3766594 83.5657826 23.526719 34.3821528 60.4571673 58.445997547.3891415 56.5782647 19.9468978 37.9619739 52.6291696 62.025818770.7358013 61.4368114 108.645894 56.8956572 36.0698263 26.67317738.11487167 17.3039949 54.5579394 72.8476821 41.2854396 50.682088771.5842158 80.773339 77.9442732 20.0354015 57.6647237 28.113650961.6657002 70.8548235 6.04266488 63.9515366 78.6187323 88.015381363.8538774 54.5548875 101.76397 43.8550981 29.1879025 19.791253493.1974242 83.8984344 131.107517 73.198645 60.1245155 49.134800362.7491073 53.4501175 100.6592 47.2060305 28.0831324 18.68648341.09866634 10.3976562 62.4591815 80.7489242 35.7646413 45.161290364.3177587 55.0187689 102.227851 47.2853786 29.6517838 20.255134749.2568743 39.9578845 87.1669668 60.03296 14.5908994 22.540971192.7121799 101.901303 40.8490249 17.0598468 78.7926878 49.24161522.8461562 32.0352794 39.8266549 58.1163976 34.5194861 43.9161351

0 9.29898984 62.6728111 80.9625538 34.6659749 44.0626249.29898984 0 71.8619343 90.151677 25.3669851 52.659688162.6728111 71.8619343 0 57.9088717 72.5760674 81.972716580.9625538 90.151677 57.9088717 0 67.0430616 37.491988934.6659749 25.3669851 72.5760674 67.0430616 0 29.551072744.062624 52.6596881 81.9727165 37.4919889 29.5510727 0

48.6709189 39.3719291 95.0895718 113.379315 46.3362529 75.887325763.6188849 72.8080081 19.4158757 38.492996 53.1601917 62.556840797.6531266 88.3541368 135.563219 77.6543474 62.9871517 53.590502614.4566179 5.1576281 72.6493118 90.9390545 23.8959929 53.447065682.8119755 73.5129856 120.722068 62.8131962 48.1460005 38.749351518.652913 27.8420362 50.6607257 62.3096408 21.9153417 31.311990763.554796 54.2558061 101.464888 67.4703207 28.8888211 29.9783319

101.535081 110.724204 126.688437 68.7795648 87.6155889 58.0645161115.900143 125.089267 88.9095737 34.9375896 101.980651 72.429578548.750267 57.9393902 76.9371624 32.2122868 34.8307749 5.27970214

25.6843776 34.8735008 36.9884335 55.2781762 52.7329325 62.12958169.87273782 1.77617725 70.085757 88.3754997 24.7932371 50.883510852.0126957 61.2018189 48.6861782 28.9498581 38.0932035 33.286538382.5495163 91.7386395 62.9505295 5.04165777 68.6300241 39.078951456.981109 52.4002808 94.8912015 37.7513962 29.2916654 12.9184851

20.0933866 10.9042634 82.7661977 101.05594 34.0128788 63.563951588.2076479 97.3967711 83.3185827 25.409711 74.2881558 44.737083

34 35 36 37 38 3914.1941588 110.229804 84.5576342 36.6344188 90.1150548 65.263832548.484756 94.738609 21.8787194 61.7877743 27.43614 63.493759

90.1089511 19.8492386 96.2981048 67.6686911 81.4569536 39.039277377.0592364 34.4859157 126.041444 42.8449355 111.200293 41.138950868.9901425 27.0455031 109.512619 46.5498825 94.6714682 24.610126152.906888 86.7610706 82.5434126 130.466628 76.985992 101.837214

91.11301 50.9445479 65.2027955 68.67275 50.3616443 40.043336355.9190649 64.8548845 51.2924589 33.4788049 36.4513077 33.610034515.2317881 100.408948 74.7367779 26.8135624 80.2941984 55.442976272.7805414 23.2551042 99.7405927 50.3402814 84.8994415 21.710867650.4623554 45.5732902 81.8781091 28.0220954 67.0369579 3.0243842948.976104 47.0595416 84.3653676 26.535844 69.5242164 2.09356975

72.6950896 126.395459 10.2481155 93.4446242 25.0892666 95.1506088106.79342 10.7577746 112.0365 84.3531602 97.195349 55.7237465

79.8059023 16.2297433 115.616321 57.3656423 100.77517 30.713827956.4836573 89.230018 26.9173254 56.2791833 19.4372387 57.98516855.2903836 55.5040132 104.272591 21.0760826 89.4314402 19.370098104.000977 58.5283975 57.6189459 81.5607166 42.7777947 52.931302894.082461 25.4585406 141.605884 71.642201 126.764733 56.7033906

73.8761559 82.3480941 33.7992492 51.4358959 18.9580981 51.1032441106.460768 111.691641 36.097293 84.0205084 30.5398724 80.44679166.1732841 81.2433241 34.9040193 48.2924894 20.0628681 49.998474149.7695853 63.4052553 98.751793 15.5552843 83.9106418 18.439283466.093936 82.8119755 33.3353679 49.8611408 18.4942167 51.5671255

53.3463546 67.751091 48.3962523 34.8002564 33.5551012 36.506241125.128941 29.0932951 94.7141942 102.688681 79.873043 74.059266955.262917 40.7727287 97.5066378 32.8226569 82.6654866 12.6041444

48.6709189 63.6188849 97.6531266 14.4566179 82.8119755 18.65291339.3719291 72.8080081 88.3541368 5.1576281 73.5129856 27.842036295.0895718 19.4158757 135.563219 72.6493118 120.722068 50.6607257113.379315 38.492996 77.6543474 90.9390545 62.8131962 62.309640846.3362529 53.1601917 62.9871517 23.8959929 48.1460005 21.915341775.8873257 62.5568407 53.5905026 53.4470656 38.7493515 31.3119907

0 96.0356456 70.3634754 34.214301 75.920896 51.069673896.0356456 0 116.147343 73.5953856 101.306192 44.965971970.3634754 116.147343 0 83.1965087 14.8411512 84.902493434.214301 73.5953856 83.1965087 0 68.3553575 28.629413775.920896 101.306192 14.8411512 68.3553575 0 70.0613422

51.0696738 44.9659719 84.9024934 28.6294137 70.0613422 045.9089938 82.0490127 34.0983306 49.098178 30.0119022 50.8041627

133.951842 107.272561 63.5883663 111.511582 58.0309458 82.882168148.316904 69.4936979 77.9534288 125.876644 72.3960082 97.247230481.1670278 57.5212867 58.6260567 58.7267678 43.7849055 30.09735466.7378765 37.9345073 115.720084 35.6608783 100.878933 30.817590938.7981811 71.0318308 87.7803888 4.58388012 72.9392376 26.065858984.4294565 29.2703024 86.8770409 61.9891964 72.0358898 33.3597827114.966277 43.5346538 72.6126896 92.526017 57.7715384 63.896603375.6279183 75.4753258 40.6720176 53.1876583 25.8308664 44.230475836.3292337 83.7122715 85.3114414 10.1168859 70.4702902 38.7462996120.624409 63.902707 52.2446364 98.1841487 44.7035127 69.5547349

40 41 42 43 44 4560.1031526 148.146001 162.511063 95.3611866 72.2952971 39.197973612.6895962 85.4670858 99.8321482 37.2173223 94.3113498 66.371654462.1997742 87.4233222 58.2079531 37.6720481 32.0078127 65.105136391.9431135 117.166662 86.7671743 67.4153874 10.3213599 38.261055375.4142888 100.637837 79.3267617 50.8865627 10.8890042 43.9863277106.997894 20.5114902 17.2673727 71.7398602 94.8057497 127.90307345.2040162 56.3280129 57.2038942 9.94598224 50.5172887 66.109195217.1941282 78.0327769 92.3978393 25.2479629 64.4276254 36.487929950.2822962 138.325144 152.690207 85.5403302 62.4744407 29.377117265.642262 90.8658101 75.5363628 41.114536 15.9794916 47.7767266

47.7797784 83.4894864 97.8545488 30.7046724 33.8419752 25.458540650.267037 84.9757378 99.3408002 32.1909238 31.3547166 23.9722892

44.3464461 61.2567522 75.6218146 68.8741722 125.9682 98.028504377.9381695 103.161718 65.3828547 53.4104434 48.6922819 81.789605481.5179907 106.741539 68.9626759 56.9902646 21.7047639 54.802087510.5746635 77.4681845 91.8332469 31.7087313 88.8027589 60.863063470.1742607 95.3978088 107.785272 45.6465346 17.5695059 16.492202558.0919828 48.7441633 44.3159276 22.8339488 58.1011383 78.9971618107.507553 132.731101 94.9522385 82.9798273 35.9813227 69.078646227.9671621 60.0756859 74.4407483 24.8268075 81.920835 53.981139660.5517747 27.4910733 42.1979431 54.1703543 111.264382 83.324686420.2642903 67.7785577 82.1436201 23.7220374 80.8160649 52.876369564.6534623 101.321451 115.686514 48.5366375 25.470748 10.971404220.1849422 67.8579058 82.2229682 25.2906888 82.3847163 54.445020914.2979217 80.6054872 94.9705496 27.8206732 67.3238319 39.384136579.2199469 85.8394116 48.0605487 43.9619129 67.0278024 100.12512663.4083071 88.6318552 93.0539872 38.8805811 18.2134465 30.259102163.554796 101.535081 115.900143 48.750267 25.6843776 9.87273782

54.2558061 110.724204 125.089267 57.9393902 34.8735008 1.77617725101.464888 126.688437 88.9095737 76.9371624 36.9884335 70.08575767.4703207 68.7795648 34.9375896 32.2122868 55.2781762 88.375499728.8888211 87.6155889 101.980651 34.8307749 52.7329325 24.793237129.9783319 58.0645161 72.4295785 5.27970214 62.1295816 50.883510845.9089938 133.951842 148.316904 81.1670278 66.7378765 38.798181182.0490127 107.272561 69.4936979 57.5212867 37.9345073 71.031830834.0983306 63.5883663 77.9534288 58.6260567 115.720084 87.780388849.098178 111.511582 125.876644 58.7267678 35.6608783 4.58388012

30.0119022 58.0309458 72.3960082 43.7849055 100.878933 72.939237650.8041627 82.882168 97.2472304 30.097354 30.8175909 26.0658589

0 88.042848 102.40791 35.258034 81.6217536 53.6820582

88.042848 0 37.7788629 52.784814 106.845302 108.948027102.40791 37.7788629 0 67.1498764 90.2157659 123.31308935.258034 52.784814 67.1498764 0 57.0940275 56.163213

81.6217536 106.845302 90.2157659 57.0940275 0 33.097323553.6820582 108.948027 123.313089 56.163213 33.0973235 052.7787103 78.0022584 63.8874477 28.2509842 28.8430433 59.425641769.0572832 63.737907 33.3506272 33.7992492 56.8651387 89.962462229.7189245 58.3239235 72.6889859 17.9540391 75.0480667 50.624103551.2131108 121.628468 135.99353 68.8436537 45.7777642 12.680440774.7154149 43.3698538 27.6924955 39.4573809 63.4754479 95.6205939

46 47 48 49 5098.6236152 129.160436 89.8220771 32.0474868 134.81856765.4683065 66.481521 27.1431623 63.902707 72.13965279.42106388 24.857326 55.6260872 77.785577 44.053468439.1644032 53.4287545 85.3694266 49.2263558 73.796807822.6355785 45.9761345 68.8406018 56.6667684 57.26798368.4774316 43.2264168 77.2789697 140.583514 32.282479321.6742454 23.853267 24.5307779 78.7896359 29.511398735.584582 59.0472121 19.7088534 43.5956908 64.7053438

88.8027589 119.339579 80.0012207 21.0974456 124.99771112.8635517 42.1857356 59.0685751 60.4571673 47.843867333.967101 64.5039216 41.2060915 38.1389813 70.1620533

35.4533525 65.990173 43.69335 36.6527299 71.648304797.1251564 82.8608051 50.9201331 95.5595569 62.492751925.1594592 39.4238105 71.3644826 94.4700461 59.791863828.7392804 43.0036317 74.9443037 67.4825282 63.371684959.9597156 58.4826197 19.144261 58.394116 64.140751443.897824 74.4346446 63.6005737 28.2082583 80.092776329.258095 14.9937437 28.3730583 91.6776025 16.623432154.728843 68.9931944 100.933866 81.7590869 89.3612476

53.0777917 41.0901212 6.87276833 61.5527818 46.748252882.4213385 68.1569872 36.2163152 94.1373943 47.78893451.9730216 48.792993 9.45463424 53.84991 54.451124651.7990661 82.3358867 58.0797754 20.3070162 87.994018453.541673 48.8723411 9.53398236 53.7705618 54.5304727

38.4807886 61.6199225 22.2815638 41.0229804 67.278054140.6994842 22.1015046 54.0421766 112.805567 42.469557829.1665395 59.7033601 56.8346202 42.9395428 65.361491752.0126957 82.5495163 56.981109 20.0933866 88.207647961.2018189 91.7386395 52.4002808 10.9042634 97.396771148.6861782 62.9505295 94.8912015 82.7661977 83.318582728.9498581 5.04165777 37.7513962 101.05594 25.40971138.0932035 68.6300241 29.2916654 34.0128788 74.288155833.2865383 39.0789514 12.9184851 63.5639515 44.73708384.4294565 114.966277 75.6279183 36.3292337 120.62440929.2703024 43.5346538 75.4753258 83.7122715 63.90270786.8770409 72.6126896 40.6720176 85.3114414 52.244636461.9891964 92.526017 53.1876583 10.1168859 98.184148772.0358898 57.7715384 25.8308664 70.4702902 44.703512733.3597827 63.8966033 44.2304758 38.7462996 69.554734952.7787103 69.0572832 29.7189245 51.2131108 74.7154149

78.0022584 63.737907 58.3239235 121.628468 43.369853863.8874477 33.3506272 72.6889859 135.99353 27.692495528.2509842 33.7992492 17.9540391 68.8436537 39.457380928.8430433 56.8651387 75.0480667 45.7777642 63.475447959.4256417 89.9624622 50.6241035 12.6804407 95.6205939

0 30.5368206 46.2050233 72.1060823 36.194952230.5368206 0 39.3383587 102.642903 20.368053246.2050233 39.3383587 0 63.3045442 44.996490472.1060823 102.642903 63.3045442 0 108.30103536.1949522 20.3680532 44.9964904 108.301035 0

15.231788110.9500412