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Раздел III. Игровые задачи 3 страница



12.1- 12.50. Определить максимальный поток в транспортной сети. В условиях задач приведены пропускные способности сig дуг сети. Для дуг, не вошедших в список сig = 0.

12.1. С01= 20, С02 = 50, С03 = 35, С16 = 24, С12 =15, С25 = 17, С23 = 40, С24 = 15, С35 = 39, С45 = 22, С47 = 32, С48 = 18, С49 = 27, С58 = 38, С59 = 36, С64 = 28, С67 = 31, С78 = 43, С89 = 42.

12.2. С01= 23, С02 = 24, С03 = 19, С04 = 17, С12 =8, С15 = 17, С25 = 16, С23 = 15, С26 = 10, С36= 10, С43= 6, С46= 15, С410 = 20, С58 = 12, С57 = 18, С64 = 16, С67 = 13, С69 = 17, С78 = 13, С79= 15, С711 = 11, С811 = 20, С910 = 20, С911 =20, С1011 = 35.

12.3 С01= 15, С02 = 3, С03 = 22, С04 =25, С14=31, С21= 20, С25= 41, С32 = 42, С35 = 38, С47= 25, С45= 32, С58 = 17, С56 = 37,

С62 = 29, С78 = 19, С79 = 17, С89 = 23, С810 = 27, С910 = 32.

12.4. С01= 20, С02 = 35, С03 = 28, С14= 13, С12 =18, С24= 14, С23 = 16, С34 = 12, С35 = 11, С36 = 15, С47 = 21, С410 = 15, С45= 19, С57= 22, С510 = 11, С58 = 18, С65= 10, С68 = 5, С69 = 17, С710 =20, С810 = 26, С89 = 20, С910 = 30.

12.5. С01= 15, С03 = 10, С04= 14, С02 =12, С13= 4, С23 = 9, С24 = 5, С34 = 6, С35 = 7, С313 = 6, С36 = 4, С413= 7, С411= 3, С46 = 12, С57= 9, С65= 3, С67 = 7, С78 = 10, С79 =9, С812 = 6, С811 = 5, С910 = 3, С107 = 5, С1013 =8, С1113 = 8, С1211 = 12.

12.6. С01= 9, С02 = 13, С03= 10, С04 =11, С14= 7, С24 = 3 С25= 2, С35= 8, С310 = 6, С36 = 7, С47 = 4, С48 = 9,С58= 5, С51 = 8, С610= 8, С78= 4, С710 = 5, С810 = 9, С96 =3, С910 = 8.

12.7. С01= 9, С02 = 6, С03= 5, С04 =10, С12= 3, С13 = 4 С18= 6, С24= 4, С25 = 5, С34 = 9, С37 = 3, С36 = 5,С45= 4, С58 = 6, С511= 5, С59= 3, С612 = 5, С610 = 9, С76 =6, С710 = 5,С87= 4, С812 = 12, С810= 5, С89 =4, С910= 7, С911 = 5 С1012= 4, С1011= 7, С1112 = 8.

12.8. С01= 25 С02 = 31, С03= 18, С04 =36, С15= 30 С21 = 15,С23= 18, С25= 23, С26 = 19, С27 = 31, С28 = 18, С37 = 10,С43= 25, С46 = 35, С48= 28, С512= 27, С56 = 3, С69 = 15, С76 =6, С79 = 20, С710= 5, С78 = 10, С711= 20, С810 =31, С811= 14, С910 = 25 С913= 30,

С1013= 40, С1011 = 10, С1113 = 25, С129 = 25, С1210 = 20,С1213= 18.

12.9. С01= 30 С02 = 10, С03= 40, С04 =25, С06= 35 С12 = 20,С15= 30, С25= 30, С27 = 17, С36 = 17, С41 = 15, С42 = 15,С47= 10, С45 = 20, С411= 5, С511= 35, С58 = 50, С65 = 15, С62 =25, С69 = 30, С78= 16, С711 = 25, С89= 10, С810 =40, С910= 25, С108 = 35, С1011 = 45.

12.10. С01= 25, С02 = 27, С03= 30, С04 =18, С15 = 31, С14 = 25,С12= 25, С28= 31, С25 = 18, С39 = 25, С38 = 41, С43 = 18,С48= 8, С45 = 27, С57= 18, С510= 42, С56 = 35, С610 = 26, С611 =31, С78 = 7, С710= 37, С810 = 25, С812= 40, С94 =30, С912= 31, С109 = 15, С1012= 35, С1110= 20, С1112 = 25.

12.11. С01= 30, С02 = 27, С03= 18, С04 =29, С15 = 31, С18 = 19,С16= 15, С17= 22, С21 = 2, С26 = 17, С23 = 3, С310 = 17,С36= 24, С37 = 30, С43= 5, С47= 18, С56 = 18, С58 = 18, С511 =25, С69 = 20, С610= 24, С67 = 15, С79= 25, С710 =19, С811= 20, С812 = 36,

С89= 18, С912= 45, С109 = 15, С1012= 3, С1112 = 43.

12.12. С01= 30, С02 = 37, С03= 21, С07 =25, С17 = 27, С21 = 20,С26= 18, С24= 25, С23 = 25, С35 = 35, С45 = 30, С410 = 15,С512= 25, С56 = 15, С59= 16, С61= 15, С68 = 30, С69 = 40, С610 =25, С76 = 10, С79= 25, С78 = 40, С89= 15, С811 =25, С913= 35, С1011 = 15,

С1012= 25, С1113= 26, С1213 = 40.

12.13. С01= 25, С02 = 31, С03= 24, С12 =25, С16 = 18, С14 = 15,С25= 35, С31= 16, С32 = 30, С35 = 16, С37 = 25, С45 = 17,С47= 10, С59 = 20, С58= 40, С64= 20, С610 = 30, С69 = 16, С76 =20, С710 = 18, С86= 15, С811 = 27, С911= 5, С912 =20, С1011= 10, С1012 = 40,

С1112= 30, С87= 15.

12.14. С01= 25, С02 = 7, С03= 48, С04 =52, С15 = 10, С16 = 20,С17= 8, С18= 10, С25 = 20, С26 = 15, С27 = 30, С28 = 10,С35= 8, С36 = 10, С37= 13, С38= 40, С45 = 25, С46 = 20, С48 =8, С59 = 37, С69= 43, С79 = 50, С89= 65.

12.15. С01= 25, С02 = 30, С03= 70, С14 =30, С15 = 18, С21 = 15,С24= 20, С25= 10, С32 = 20, С35 = 23, С36 = 30, С45 = 10,С47= 30, С49 = 12, С57= 25, С58= 15, С56 = 16, С68 = 14, С611 =25, С78 = 40, С710= 25, С611 = 25, С912= 40, С109 =20, С1012= 35, С1110 = 20, С1112 = 27.

12.16. С01= 65, С02 = 45, С03= 40, С15 =25, С16 = 21, С21 = 17,С24= 10, С25= 40, С32 = 20, С34 = 35, С35 = 25, С36 = 30,С47= 40, С48 = 20, С49= 50, С54= 50, С57 = 25, С58 = 30, С65 =60, С67 = 45, С78= 15, С79 = 50, С89= 50.

12.17. С01= 25, С02 = 70, С03= 48, С04 =52, С15 = 10, С16 = 20,С17= 8, С18= 10, С25 = 20, С26 = 15, С27 = 30, С28 = 10,С35= 8, С36 = 10, С37= 13, С38= 40, С45 = 25, С46 = 20, С47 =7, С48 = 8, С59 =37, С69 = 43, С79= 50, С89 =65.

12.18. С01= 25, С02 = 8, С03= 25, С04 =17, С05 = 30, С13 = 20,С14= 17, С24= 25, С25 = 16, С36 = 30, С37 = 15, С38 = 15,С46= 20, С43 = 30, С47= 20, С54= 30, С57 = 25, С58 = 10, С67 =20, С69 = 18, С610= 10, С79 = 17, С710= 30, С78 =20, С89= 40, С810 = 35,

С910= 15.

12.19. С01= 25, С02 = 27, С03= 30, С04 =18, С12 = 25, С13 = 31,С14= 25, С15= 14, С25 = 18, С28 = 31, С38 = 41, С39 = 25,С43= 18, С45 = 27, С48= 7, С49= 30, С56 = 35, С57 = 18, С510 =42, С610 = 26, С611= 31, С78 = 19, С710= 37, С810 =35, С812= 40, С98 = 20,

С912= 31, С109= 15, С1012 = 35, С1110= 20, С1112 = 25.

12.20. С01= 25, С02 = 71, С03= 26, С04 =5, С15 = 14, С16 = 11,С17= 5, С18= 5, С2 = 21, С26 = 17, С27 = 30, С28 = 7,С35= 4, С36 = 18, С37= 12, С38= 8, С45 = 2, С46 = 2, С47 =0, С48 = 3, С59= 35, С69 = 41, С79= 46, С89 =17.

12.21. С01= 25, С02 = 37, С03= 41, С04 =52, С12 = 27, С18 = 43,С28= 19, С210= 19, С24 = 31, С311 = 19, С39 = 35, С41 = 45,С45= 71, С53 = 38, С56= 43, С63= 52, С69 = 33, С71 = 35, С78 =15, С810 = 52, С911= 35, С1011 = 60, С109= 35.

12.22. С01= 30, С02 = 27, С03= 16, С04 =17, С15 = 30, С18 = 10,С16= 5, С17= 4, С25 = 5, С26 = 15, С27 = 10, С28 = 4,С35= 7, С36 = 6, С37= 4, С38= 43, С45 = 17, С46 = 15, С47 =35, С48 = 20, С59= 19, С69 = 17, С79= 23, С89 =75.

12.23. С01= 27, С02 = 30, С03= 17, С05 =20, С06 = 19, С17 = 17,С12= 15, С23= 30, С34 = 30, С45 = 18, С410 = 15, С412 = 20,С510= 40, С61 = 25, С67= 16, С78= 25, С711 = 10, С86 = 17, С89 =10, С911 = 15, С912= 50, С1012 = 35, С1110= 30, С1112 =20.

12.24. С01= 10, С02 = 12, С03= 17, С04 =20, С07 = 43, С08 = 52,С15= 20, С17= 30, С19 = 55, С21 = 5, С23 = 6, С25 = 23,С34= 4, С35 = 19, С36= 27, С38= 33, С48 = 32, С49 = 51, С56 = 8, С57 = 10, С59= 35, С68 = 11, С69= 30, С89 =19.

12.25. С01= 37, С02 = 72, С03= 17, С04 =85, С07 = 55, С15 = 37,С16= 27, С17= 19, С21 = 5, С24 = 13, С37 = 39, С38 = 52,С49= 14, С52 = 3, С54= 17, С58= 7, С59 = 27, С65 = 12, С68 =5, С76 = 10, С78= 14, С79 = 60, С89= 35.

12.26. С01= 51, С02 = 44, С03= 98, С04 =24, С13 = 45, С17 = 67,С19= 97, С23= 52, С25 = 21, С35 = 31, С37 = 19, С45 = 42,С48= 72, С56 = 13, С58= 32, С63= 12, С67 = 36, С68 = 16, С69 =62, С79 = 20, С89= 42.

12.27. С01= 17, С02 = 18, С03= 22, С04 =26, С06 = 40, С08 = 42,С13= 6, С16= 24, С19 = 42, С23 = 4, С24 = 9, С27 = 29,С28= 24, С34 = 5, С35= 14, С36= 19, С48 = 17, С49 = 36, С56 =7, С59 = 24, С75= 9, С79 = 14, С87= 7, С89 =20.

12.28. С01= 25, С02 = 30, С03= 15, С14 =2, С15 = 35, С24 = 15,С25= 16, С26= 3, С27 = 14, С32 = 5, С36 = 4, С38 = 2,С45= 5, С47 = 15,

С57= 15, С58= 20, С68 = 3, С79 = 20, С89 =48.

12.29. С01= 15, С02 = 19, С03= 15, С16 =20, С26 = 25, С25 = 30,С24= 15, С34= 17, С38 = 8, С36 = 3, С47 = 10, С48 = 7,С57= 20, С58 = 16, С79= 20, С89= 40.

12.30. С01= 20, С02 = 20, С03= 30, С12 =7, С14 = 8, С15 = 10,С16= 20, С24= 25, С25 = 8, С26 = 15, С36 = 20, С37 = 15,С45= 3, С49 = 40, С48= 17, С49= 40, С58 = 15, С56 = 9, С68 =12, С76 = 3, С78= 8, С89 = 25.

12.31. С01= 20, С02 = 12, С03= 12, С12 =17, С14 = 15, С15 = 7,С24= 15, С23= 7, С35 = 10, С47 = 8, С49 = 15, С54 = 8,С56= 4, С57 = 4, С58= 7, С68= 5, С78 = 3, С79 = 20, С89 =20

12.32. С01= 20, С02 = 15, С03= 18, С04 =7, С12 = 5, С15 = 17,С16= 17, С17= 25, С25 = 8, С26 = 2, С32 = 4, С35 = 9,С36= 10, С37 = 7, С46= 5, С47= 3, С48 = 6, С56 = 3, С59 =15, С67= 2, С69 = 5, С78 = 3, С79 =29, С89 =10.

12.33. С01= 20, С02 = 20, С03= 15, С12 =3, С13 = 6, С14 = 7,С15= 5, С23= 8, С24 = 4, С34 = 3, С36 = 15, С37 = 15,С46= 17, С47 = 8, С48= 10, С54= 4, С58 = 5, С69 = 20, С76 =14, С79= 12, С87 = 7, С89 = 12.

12.34. С01= 45, С02 = 25, С12= 9, С13 =15, С14 = 20, С15 = 7,С23= 10, С24= 7, С25 = 20, С34 = 8, С37 = 5, С38 = 20,С45= 5, С46 = 30, С47= 5, С57= 20, С56 = 15, С69 = 29, С76 =8, С79= 15, С87 = 7, С89 = 30.

12.35. С01= 8, С02 = 9, С03= 10, С04 =11 С15 = 2, С16 = 3,С17= 4, С18= 5, С25 = 5, С26 = 4, С27= 3, С28 = 2,С35= 2, С36 = 3, С37= 5,

С38= 4, С45 = 4, С46 = 5, С47 =3, С48= 2, С59 = 7, С69 = 10, С79 =8, С89 =12.

12.36. С01= 17, С02 = 10, С03= 8, С04 =12 С15 = 2, С16 = 5,С17= 2, С18= 4, С25 = 3, С26 = 4, С27 = 3, С28 = 5,С35= 4,С36 = 3, С37= 5,

С38= 3, С45 = 5, С46 = 2, С47 =4, С48= 2, С59 = 8, С69 = 9, С79 =10, С89 =11.

12.37. С01= 11, С02 = 10, С03= 12, С04 =10, С15 = 2, С16 = 3,С17= 3, С18= 2, С25 = 4, С26 = 2, С27 = 2, С28 = 1,С35= 4,С36 = 3,С37 =3,

С38= 2, С45 = 4, С46 = 3, С47 =2, С48= 6, С59 = 8, С69 = 12, С79 =15, С89 =11.

12.38. С01= 16, С02 = 18, С03= 20, С04 =22 С15 = 4, С16 = 6,С17= 8, С18= 10, С25 = 10, С26 = 8, С27 = 6, С28 = 4,С35= 4,С36 = 6, С37= 10, С38= 8, С45 = 8, С46 = 10, С47 =6, С48= 4, С59 = 14, С69 = 20, С79 =16, С89 =24.

12.39. С01= 22, С02 = 20, С03= 24, С04 =20 С15 = 4, С16 = 6,С17= 6, С18= 4, С25 = 8, С26 = 4, С27 = 4, С28 = 2,С35= 8,С36 = 6, С37= 6,

С38= 4, С45 = 8, С46 = 6, С47 =4, С48= 12, С59 = 16, С69 = 24, С79 =30, С89 =22.

12.40. С01= 14, С02 = 18, С04= 6, С13 =18, С14 =15, С24 = 9,С25= 11, С34= 13, С36 = 11, С37 = 12, С54 = 17, С56 = 15,С57= 8, С64 = 5,

С68= 10, С74= 10, С78 = 15.

12.41. С01= 9, С02 = 11, С03= 7, С04 =16 С05 = 6, С13 = 18,С25= 22, С36= 14, С37 = 12, С41 = 15, С42 = 13, С43 = 2,С45= 4,С56 = 10,

С57= 12, С58= 6, С68 = 12, С78 = 20.

12.42. С01= 12, С02 = 10, С05= 13, С13 =7, С14 = 14, С24 = 9,С25= 12, С34= 15, С36 = 5, С37 = 11, С45 = 8, С46 = 7,С47= 6, С56 = 13,

С57= 15, С58= 7, С68 = 22, С76 = 12, С78 =7.

12.43. С01= 10, С02 = 14, С04= 2, С13 =14, С14 = 12, С24 = 5,С25= 9, С34= 11, С36 = 9, С37 =10, С54 = 15, С56 = 13,С57= 10, С64 = 7,

С68= 12, С74= 12, С78 = 17.

12.44. С01= 6, С02 = 8, С03= 4, С04 =13, С05 = 3, С13 = 15,С25= 21, С36= 13, С37 = 11, С41 = 13, С42 = 11, С43 = 5,С45= 6, С56 = 12,

С57= 14, С58= 8, С68 = 14, С78 = 22.

12.45. С01= 8, С02 = 6, С05= 9, С13 =3, С14 = 10, С24 = 5,С25= 10, С34= 10, С36 = 3, С37 = 9, С45 = 6, С46 = 5,С47= 7,С56 = 14,

С57= 16, С58= 6, С68 = 23, С76 = 13, С78 =8.

12.46. С01= 16, С02 = 20, С04= 8, С13 =20 С24 = 11, С25 = 14,С34= 16, С36= 14, С37 = 15, С54 = 20, С56 = 18, С57 = 11,С64= 8,

С68 = 13, С74= 13, С78= 18.

12.47. С01= 12, С02 = 14, С03= 10, С04 =19, С12 = 9, С13 = 21,С25= 24, С36= 16, С37 = 12, С41 = 17, С42 = 15, С43 = 4,С45= 5, С56 =11

С57= 13, С58= 7, С68 = 13, С78 = 21.

12.48. С01= 17, С02 = 15, С05= 18, С13 =12, С14 = 19, С24 = 14,С25= 16, С34= 19, С36 = 9, С37 = 15, С45 = 12, С46 = 11,С47= 9, С56 = 16, С57= 18, С58= 10, С68 = 25, С76 = 15, С78 =11.

12.49. С01= 19, С02 = 23, С04= 11, С13 =23, С14 = 21, С24 = 14,С25= 13, С34= 15, С36 = 13, С37 = 14, С54 = 19, С56 = 17,С57= 11, С64 = 8, С68= 12, С74= 13, С78 = 18.

12.50. С01= 2, С02 = 15, С03= 30, С14 =15, С15 = 30, С12 = 8,С23= 7, С24= 4, С25 = 5, С26 = 5, С36 = 20, С45 = 5,С47= 20, С48 = 10,

С57= 7, С56= 8, С67 = 10, С68 = 15, С78 =7, С79= 25.

12.51- 12.100. Решением соответствующей задачи о максимальном потоке определить, имеет ли оптимальный план транспортная задача (6.1- 6.50) с номером к = № - 50.





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