Ê©¹¤×éÖ¯Óë¸ÅÔ¤ËãÏ°Ìâ´ð°¸ ÏÂÔر¾ÎÄ

ÄÚÈÝ·¢²¼¸üÐÂʱ¼ä : 2025/4/2 11:07:06ÐÇÆÚÒ» ÏÂÃæÊÇÎÄÕµÄÈ«²¿ÄÚÈÝÇëÈÏÕæÔĶÁ¡£

----------------------------¾«Æ·wordÎĵµ ÖµµÃÏÂÔØ ÖµµÃÓµÓÐ----------------------------------------------

----------------------------------------------------------------------------------------------------------------------------------------------

´ð£º·Ö²¿·ÖÏ³ÌÈս¼Æ»®Í¼±í¡£¹¤³ÌÏîÄ¿»úеÅäºÏÊ©¹¤µÄ°²Åżƻ®£¨Ê©¹¤·½·¨¼°»úеÖÖÀࣩ»úеʩ¹¤¼¼Êõ¡¢°²È«±£Ö¤´ëÊ©¡£»úе¼ìÐÞ¡¢±£Ñø¼Æ»®ºÍ´ëÊ©¡£»úеµÄÁÙʱռµØ²¼ÖúÍÏÖ³¡Æ½Ãæ×éÖ¯´ëÊ©¡£ µÚÎåÕ ÍøÂç¼Æ»®

53´ð£ºÍøÂçͼ£ºÊÇÒ»ÖÖ±íʾÕû¸ö¼Æ»®Öи÷µÀ¹¤Ðò£¨»ò¹¤×÷£©µÄÏȺó´ÎÐò¡¢Ï໥Âß¼­¹ØϵºÍËùÐèʱ¼äµÄÍø״ʸÏßͼ¡£¹¹³ÉÒªËØÊÇ£º¼ýÏߣ¨¹¤Ðò»ò¹¤×÷£©¡¢½Úµã¡¢Ïß·¡£

54 ÍøÂçͼµÄÓÅȱµã£ºÍøÂçͼ£ºËüÄÜÈ«ÃæµØ·´Ó³¸÷¹¤ÐòÖ®¼äÏ໥ÖÆÔ¼ºÍÏ໥ÒÀÀµµÄÂß¼­¹Øϵ£¬¿É½øÐÐʱ¼ä²ÎÊýµÄ¼ÆË㣬ÕÒ³ö¹Ø¼ü¹¤Ðò£¬È·¶¨¹¤ÐòÊÇ·ñÓлú¶¯Ê±¼ä¡£¿ÉÒÔʹÓüÆËã»ú½øÐмÆËãºÍÓÅ»¯¡£Ê©¹¤µØµãºÍÊ©¹¤ÈÕÆÚÎÞ·¨±íʾ¡¢¹¤³ÌÊýÁ¿Êµ¼Ê·Ö²¼Çé¿ö²»¾ßÌå¡£ÍøÂçͼµÄ»æÖƹæÔò£ºÕýÈ··´Ó³¸÷¹¤ÐòÖ®¼äµÄÏȺó˳ÐòºÍÏ໥Âß¼­¹Øϵ£»ÔÚÒ»¸öÍøÂçͼÖÐÖ»ÄÜÓÐÒ»¸öʼ½ÚµãÒ»¸öÖսڵ㣻һ¶Ô½Úµã¼äÖ»ÄÜÓÐÒ»Ìõ¼ýÏߣ»ÍøÂçͼÖв»ÔÊÐí³öÏֱպϻØ·£¬Æ½Ðдî½ÓµÄ¹¤Ðò£¬Ó¦·Ö¶Î±íʾ¡£Á½¼ýÏßÏཻӦ²ÉÓùýÇÅʽ¡£ 55.´ð£º

EABC546HGFIJ123D78956.½â£º

----------------------------¾«Æ·wordÎĵµ ÖµµÃÏÂÔØ ÖµµÃÓµÓÐ----------------------------------------------

----------------------------------------------------------------------------------------------------------------------------------------------

57.½â£º

B54DEF768H12C10G9IJ11358.½â£º

K12B3M5D8E10F11G13QH14I15J1646N7O9P1259´ð£º¹¤Ðò×îÔç¿ÉÄÜ¿ª¹¤Ê±¼ä£ºÒ»¸ö¹¤Ðò¾ß±¸ÁËÒ»¶¨µÄ¹¤×÷Ìõ¼þ¡¢×ÊÔ´Ìõ¼þºó¿ÉÒÔ¿ªÊ¼¹¤×÷µÄ×îÔçʱ¼ä¡£esij=max{eshi+thi}¹¤Ðò×îÔç¿ÉÄܽáÊøʱ¼ä£ºËüÊÇÖ¸¸Ã¹¤Ðò°´×îÔç¿ÉÄÜ¿ª¹¤Ê±¼ä¿ª¹¤ºó£¬×îÔçµÄ¿ÉÄܽáÊøʱ¼ä¡£efij= esij+tij¡£¹¤Ðò×î³Ù±ØÐë½áÊøʱ¼ä£ºÖ¸¸Ã¹¤Ðò²»Ó°ÏìÕû¸öÍøÂç¼Æ»®°´ÆÚÍê³ÉµÄ¹¤Ðò½áÊøʱ¼ä¡£lfij=min{lfjk-tjk}¹¤Ðò×î³Ù±ØÐ뿪¹¤Ê±¼ä£º²»Ó°ÏìÕû¸öÍøÂç¼Æ»®°´ÆÚÍê³ÉµÄ¹¤Ðò¿ªÊ¼Ê±¼ä¡£lsij= lfij-tij¡£¹¤Ðò×Üʱ²î£º²»Ó°ÏìÈκÎÒ»Ïî½ôºó¹¤Ðò×î³Ù±ØÐ뿪¹¤

----------------------------¾«Æ·wordÎĵµ ÖµµÃÏÂÔØ ÖµµÃÓµÓÐ----------------------------------------------

----------------------------------------------------------------------------------------------------------------------------------------------

ʱ¼äÌõ¼þÏ£¬¸Ã¹¤ÐòËùÓµÓеÄ×î´ó»ú¶¯Ê±¼ä¡£tfij= lfij-efij= lsij-esij¡£×ÔÓÉʱ²î£ºÔÚ²»Ó°ÏìºóÐø¹¤×÷×îÔ翪¹¤Ê±¼äµÄÌõ¼þϹ¤ÐòËùÓµÓеĻú¶¯Ê±¼ä¡£ffij= esjk-efij= esij-esij- tij¡£

60´ð£ºÊ¹ÓÃʱ¼ä×µÄÏß·Ϊ¹Ø¼üÏß·¡£·½·¨Ò»£º¼ÆËãÍøÂçͼËùÓеÄÏß·£¬Ê¹ÓÃʱ¼ä×µÄÏß·Ϊ¹Ø¼üÏß·¡£·½·¨¶þ£º£»×Üʱ²îΪ0µÄ¹¤Ðò×é³ÉµÄÏß·Ϊ¹Ø¼üÏß·¡£ 61£®´ð£º

2C675FGIJ4DB62.´ð£º

8H9103E2CDE567GHIJ4B63.´ð£º

893F----------------------------¾«Æ·wordÎĵµ ÖµµÃÏÂÔØ ÖµµÃÓµÓÐ----------------------------------------------

----------------------------------------------------------------------------------------------------------------------------------------------

(0)2 5 2 5(0)(0)0 2 0 2(0)1A22B33(0)5 7 5 7(0)7 9 (8)1315(8)I2J5(0)10 15 10 15(0)715 16(0)15 16(0)K1E521D(0)5 6(0)5 6CH46242 46 10(2)4 6(1)(0)6 10(0)G22 4 (6)(6)8 108T=1664.´ð£º

(1)3 5 4 6(0)(0)0 3 0 3(0)1A32B2C43(1)5 7 6 8(1)E28 12 (0)8 12(0)7G4812 16(0)12 16(0)J443 7(0)3 7(0)D533 6 (0)(4)7 10F6H138 11 7 8(1)9 12(1)(0)7 8(0)I26 8 (4)10 12(4)9T=16

65.´ð£º

1014 (0)4 10 4 10(0)(0)1014(0)1 4 (0)0 1 0 1(0)(0)1 4(0)1A12B33D564 5 (5)(5)9 10C41E26F4(0)1418 1418(0)7H48T=18G24 6 (6)6 8 (6)(6)1214(6)121466.´ð£º

----------------------------¾«Æ·wordÎĵµ ÖµµÃÏÂÔØ ÖµµÃÓµÓÐ----------------------------------------------

----------------------------------------------------------------------------------------------------------------------------------------------

1020 (50)6070(0)(0)0 10 0 10(0)1A102B3101030(0)(20)3050C420D30(0)1040 1040(0)52040 (50)7090(10)50 80 (40)(40)90 120H30120130(0)120130(0)9I50J1010T=130E7203050(20)5070(0)F620G30(0)4070 4070(0)8(0)70 120 (0)70 12067.´ð£º½â£º¸Ã¹¤³ÌΪËÄÊ©¹¤¶Î£¬Èý¹¤ÐòµÄÏîÄ¿£¬½øÐй¤ÐòºÏ²¢£¬Ó¦Âú×ãÌõ¼þ£ºtiamin¡Ýtibmax »ò ticmin¡Ýtibmax

ÒÀ±íÖи÷¹¤Ðò¹¤×÷ʱ¼ä¿ÉÖª£ºt2c=ticmin =22£¾t2b=tibmax =18

¿É°´Ô¼º²Ñ·¡ª±´¶ûÂü·¨Ôò½øÐй¤ÐòºÏ²¢ºÍ×îÓÅÅÅÐò¡£

¢¡ ¢¢ ¢¤ ¢¤

a+b 37 33 54 39

b+c 45 40 44 50

t2£¨a+b£©=timin =33 ÏÈÐй¤Ðò£¬ÅÅÔÚ×îÇ°Ê©¹¤£¬¢¢Îª¢Ù¡£

t1£¨a+b£©=timin =37 ÏÈÐй¤Ðò£¬ÅÅÔÚµÚ¶þÊ©¹¤£¬¢¡Îª¢Ú¡£

t4£¨a+b£©=timin =37 ÏÈÐй¤Ðò£¬ÅÅÔÚµÚÈýÊ©¹¤£¬¢¤Îª¢Û£¬¢£Îª¢Ü¡£

»ñµÃ×îÓÅÊ©¹¤Ë³Ðò£º¢¢ ¢¡ ¢¤ ¢£

°´×îÓÅÊ©¹¤Ë³Ðò»æÖÆÆäÁ÷Ë®ÍøÂçͼ£¬¼ÆËãʱ¼ä²ÎÊý£¬È·¶¨¹Ø¼üÏß·¼°×ܹ¤ÆÚ¡£