Re: [中學] 湊不重複數字

[robertshih (施抄)]

※ 引述《Intercome (今天的我小帥)》之銘言：
: 將0~9這10個數字不重複填入，使得 □□□□+□□□+□□-□=2012
: 我從2012+□開始討論，可是都找不到前面合適的四位數、三位數、二位數
: 不知道版上高手可否提供較好的解法，謝謝~~

1043 + 875 + 96 - 2 = 2012
1043 + 876 + 95 - 2 = 2012
1043 + 895 + 76 - 2 = 2012
1043 + 896 + 75 - 2 = 2012
1045 + 873 + 96 - 2 = 2012
1045 + 876 + 93 - 2 = 2012
1045 + 893 + 76 - 2 = 2012
1045 + 896 + 73 - 2 = 2012
1046 + 873 + 95 - 2 = 2012
1046 + 875 + 93 - 2 = 2012
1046 + 893 + 75 - 2 = 2012
1046 + 895 + 73 - 2 = 2012
1053 + 864 + 97 - 2 = 2012
1053 + 867 + 94 - 2 = 2012
1053 + 894 + 67 - 2 = 2012
1053 + 897 + 64 - 2 = 2012
1054 + 863 + 97 - 2 = 2012
1054 + 867 + 93 - 2 = 2012
1054 + 893 + 67 - 2 = 2012
1054 + 897 + 63 - 2 = 2012
1057 + 863 + 94 - 2 = 2012
1057 + 864 + 93 - 2 = 2012
1057 + 893 + 64 - 2 = 2012
1057 + 894 + 63 - 2 = 2012
1063 + 854 + 97 - 2 = 2012
1063 + 857 + 94 - 2 = 2012
1063 + 894 + 57 - 2 = 2012
1063 + 897 + 54 - 2 = 2012
1064 + 853 + 97 - 2 = 2012
1064 + 857 + 93 - 2 = 2012
1064 + 893 + 57 - 2 = 2012
1064 + 897 + 53 - 2 = 2012
1067 + 853 + 94 - 2 = 2012
1067 + 854 + 93 - 2 = 2012
1067 + 893 + 54 - 2 = 2012
1067 + 894 + 53 - 2 = 2012
1073 + 845 + 96 - 2 = 2012
1073 + 846 + 95 - 2 = 2012
1073 + 895 + 46 - 2 = 2012
1073 + 896 + 45 - 2 = 2012
1075 + 843 + 96 - 2 = 2012
1075 + 846 + 93 - 2 = 2012
1075 + 893 + 46 - 2 = 2012
1075 + 896 + 43 - 2 = 2012
1076 + 843 + 95 - 2 = 2012
1076 + 845 + 93 - 2 = 2012
1076 + 893 + 45 - 2 = 2012
1076 + 895 + 43 - 2 = 2012
1093 + 845 + 76 - 2 = 2012
1093 + 846 + 75 - 2 = 2012
1093 + 854 + 67 - 2 = 2012
1093 + 857 + 64 - 2 = 2012
1093 + 864 + 57 - 2 = 2012
1093 + 867 + 54 - 2 = 2012
1093 + 875 + 46 - 2 = 2012
1093 + 876 + 45 - 2 = 2012
1094 + 853 + 67 - 2 = 2012
1094 + 857 + 63 - 2 = 2012
1094 + 863 + 57 - 2 = 2012
1094 + 867 + 53 - 2 = 2012
1095 + 843 + 76 - 2 = 2012
1095 + 846 + 73 - 2 = 2012
1095 + 873 + 46 - 2 = 2012
1095 + 876 + 43 - 2 = 2012
1096 + 843 + 75 - 2 = 2012
1096 + 845 + 73 - 2 = 2012
1096 + 873 + 45 - 2 = 2012
1096 + 875 + 43 - 2 = 2012
1097 + 853 + 64 - 2 = 2012
1097 + 854 + 63 - 2 = 2012
1097 + 863 + 54 - 2 = 2012
1097 + 864 + 53 - 2 = 2012
1307 + 648 + 59 - 2 = 2012
1307 + 649 + 58 - 2 = 2012
1307 + 658 + 49 - 2 = 2012
1307 + 659 + 48 - 2 = 2012
1308 + 647 + 59 - 2 = 2012
1308 + 649 + 57 - 2 = 2012
1308 + 657 + 49 - 2 = 2012
1308 + 659 + 47 - 2 = 2012
1309 + 647 + 58 - 2 = 2012
1309 + 648 + 57 - 2 = 2012
1309 + 657 + 48 - 2 = 2012
1309 + 658 + 47 - 2 = 2012
1340 + 576 + 98 - 2 = 2012
1340 + 578 + 96 - 2 = 2012
1340 + 596 + 78 - 2 = 2012
1340 + 598 + 76 - 2 = 2012
1346 + 570 + 98 - 2 = 2012
1346 + 578 + 90 - 2 = 2012
1346 + 590 + 78 - 2 = 2012
1346 + 598 + 70 - 2 = 2012
1347 + 608 + 59 - 2 = 2012
1347 + 609 + 58 - 2 = 2012
1348 + 570 + 96 - 2 = 2012
1348 + 576 + 90 - 2 = 2012
1348 + 590 + 76 - 2 = 2012
1348 + 596 + 70 - 2 = 2012
1348 + 607 + 59 - 2 = 2012
1348 + 609 + 57 - 2 = 2012
1349 + 607 + 58 - 2 = 2012
1349 + 608 + 57 - 2 = 2012
1357 + 608 + 49 - 2 = 2012
1357 + 609 + 48 - 2 = 2012
1358 + 607 + 49 - 2 = 2012
1358 + 609 + 47 - 2 = 2012
1359 + 607 + 48 - 2 = 2012
1359 + 608 + 47 - 2 = 2012
1370 + 546 + 98 - 2 = 2012
1370 + 548 + 96 - 2 = 2012
1370 + 596 + 48 - 2 = 2012
1370 + 598 + 46 - 2 = 2012
1376 + 540 + 98 - 2 = 2012
1376 + 548 + 90 - 2 = 2012
1376 + 590 + 48 - 2 = 2012
1376 + 598 + 40 - 2 = 2012
1378 + 540 + 96 - 2 = 2012
1378 + 546 + 90 - 2 = 2012
1378 + 590 + 46 - 2 = 2012
1378 + 596 + 40 - 2 = 2012
1390 + 546 + 78 - 2 = 2012
1390 + 548 + 76 - 2 = 2012
1390 + 576 + 48 - 2 = 2012
1390 + 578 + 46 - 2 = 2012
1396 + 540 + 78 - 2 = 2012
1396 + 548 + 70 - 2 = 2012
1396 + 570 + 48 - 2 = 2012
1396 + 578 + 40 - 2 = 2012
1398 + 540 + 76 - 2 = 2012
1398 + 546 + 70 - 2 = 2012
1398 + 570 + 46 - 2 = 2012
1398 + 576 + 40 - 2 = 2012
1407 + 538 + 69 - 2 = 2012
1407 + 539 + 68 - 2 = 2012
1407 + 568 + 39 - 2 = 2012
1407 + 569 + 38 - 2 = 2012
1408 + 537 + 69 - 2 = 2012
1408 + 539 + 67 - 2 = 2012
1408 + 567 + 39 - 2 = 2012
1408 + 569 + 37 - 2 = 2012
1409 + 537 + 68 - 2 = 2012
1409 + 538 + 67 - 2 = 2012
1409 + 567 + 38 - 2 = 2012
1409 + 568 + 37 - 2 = 2012
1437 + 508 + 69 - 2 = 2012
1437 + 509 + 68 - 2 = 2012
1438 + 507 + 69 - 2 = 2012
1438 + 509 + 67 - 2 = 2012
1439 + 507 + 68 - 2 = 2012
1439 + 508 + 67 - 2 = 2012
1467 + 508 + 39 - 2 = 2012
1467 + 509 + 38 - 2 = 2012
1468 + 507 + 39 - 2 = 2012
1468 + 509 + 37 - 2 = 2012
1469 + 507 + 38 - 2 = 2012
1469 + 508 + 37 - 2 = 2012
1507 + 438 + 69 - 2 = 2012
1507 + 439 + 68 - 2 = 2012
1507 + 468 + 39 - 2 = 2012
1507 + 469 + 38 - 2 = 2012
1508 + 437 + 69 - 2 = 2012
1508 + 439 + 67 - 2 = 2012
1508 + 467 + 39 - 2 = 2012
1508 + 469 + 37 - 2 = 2012
1509 + 437 + 68 - 2 = 2012
1509 + 438 + 67 - 2 = 2012
1509 + 467 + 38 - 2 = 2012
1509 + 468 + 37 - 2 = 2012
1537 + 408 + 69 - 2 = 2012
1537 + 409 + 68 - 2 = 2012
1538 + 407 + 69 - 2 = 2012
1538 + 409 + 67 - 2 = 2012
1539 + 407 + 68 - 2 = 2012
1539 + 408 + 67 - 2 = 2012
1540 + 376 + 98 - 2 = 2012
1540 + 378 + 96 - 2 = 2012
1540 + 396 + 78 - 2 = 2012
1540 + 398 + 76 - 2 = 2012
1546 + 370 + 98 - 2 = 2012
1546 + 378 + 90 - 2 = 2012
1546 + 390 + 78 - 2 = 2012
1546 + 398 + 70 - 2 = 2012
1548 + 370 + 96 - 2 = 2012
1548 + 376 + 90 - 2 = 2012
1548 + 390 + 76 - 2 = 2012
1548 + 396 + 70 - 2 = 2012
1567 + 408 + 39 - 2 = 2012
1567 + 409 + 38 - 2 = 2012
1568 + 407 + 39 - 2 = 2012
1568 + 409 + 37 - 2 = 2012
1569 + 407 + 38 - 2 = 2012
1569 + 408 + 37 - 2 = 2012
1570 + 346 + 98 - 2 = 2012
1570 + 348 + 96 - 2 = 2012
1570 + 396 + 48 - 2 = 2012
1570 + 398 + 46 - 2 = 2012
1576 + 340 + 98 - 2 = 2012
1576 + 348 + 90 - 2 = 2012
1576 + 390 + 48 - 2 = 2012
1576 + 398 + 40 - 2 = 2012
1578 + 340 + 96 - 2 = 2012
1578 + 346 + 90 - 2 = 2012
1578 + 390 + 46 - 2 = 2012
1578 + 396 + 40 - 2 = 2012
1590 + 346 + 78 - 2 = 2012
1590 + 348 + 76 - 2 = 2012
1590 + 376 + 48 - 2 = 2012
1590 + 378 + 46 - 2 = 2012
1596 + 340 + 78 - 2 = 2012
1596 + 348 + 70 - 2 = 2012
1596 + 370 + 48 - 2 = 2012
1596 + 378 + 40 - 2 = 2012
1598 + 340 + 76 - 2 = 2012
1598 + 346 + 70 - 2 = 2012
1598 + 370 + 46 - 2 = 2012
1598 + 376 + 40 - 2 = 2012
1607 + 348 + 59 - 2 = 2012
1607 + 349 + 58 - 2 = 2012
1607 + 358 + 49 - 2 = 2012
1607 + 359 + 48 - 2 = 2012
1608 + 347 + 59 - 2 = 2012
1608 + 349 + 57 - 2 = 2012
1608 + 357 + 49 - 2 = 2012
1608 + 359 + 47 - 2 = 2012
1609 + 347 + 58 - 2 = 2012
1609 + 348 + 57 - 2 = 2012
1609 + 357 + 48 - 2 = 2012
1609 + 358 + 47 - 2 = 2012
1647 + 308 + 59 - 2 = 2012
1647 + 309 + 58 - 2 = 2012
1648 + 307 + 59 - 2 = 2012
1648 + 309 + 57 - 2 = 2012
1649 + 307 + 58 - 2 = 2012
1649 + 308 + 57 - 2 = 2012
1657 + 308 + 49 - 2 = 2012
1657 + 309 + 48 - 2 = 2012
1658 + 307 + 49 - 2 = 2012
1658 + 309 + 47 - 2 = 2012
1659 + 307 + 48 - 2 = 2012
1659 + 308 + 47 - 2 = 2012

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