Re: [問題] 數獨另ㄧ問

看板puzzle (益智遊戲 - 數獨,拼圖,推理,西洋棋)作者EIORU時間17年前 (2008/04/13 23:12)推噓4(4推 0噓 0→)

留言4則, 4人參與討論串2/2 (看更多)

(2,4,5) (3,4,5) (1,2) | 7 6 9 | (2,3,4,5) 8 (1,4) (2,4,7) (3,4,6) 9 | 5 8 (1,2) | (2,3,4,7) (1,2,6) (1,4,6,7) 8 (5,6) (1,2,6,7) | 3 4 (1,2) | (2,5,7) (1,2,5,6) 9 ------------------------------------------------------------------------------ 3 1 5 | 8 9 4 | 6 7 2 6 7 8 | 2 1 3 | 9 4 5 9 2 4 | 6 5 7 | 1 3 8 ------------------------------------------------------------------------------ 1 (4,5,6,9) (6,7) | (4,9) 2 8 | (4,5,7) (5,6,9) 3 (2,4,5,7) (4,5,9) (2,7) | (1,4,9) 3 6 | 8 (1,2,5,9) (1,4,7) (2,4) 8 3 | (1,4,9) 7 5 | (2,4) (1,2,6,9) (1,4,6) 先將能填入的數字都寫出來如上圖 (2,4,5) (3,4,5) (1,2) | 7 6 9 | (2,3,4,5) 8 (1,4) (2,4,7) (3,4,6) 9 | 5 8 (1,2) | (2,3,4,7) (1,2,6) (1,4,6,7) 8 (5,6) (1,2,6,7) | 3 4 (1,2) | (2,5,7) (1,2,5,6) 9 ------------------------------------------------------------------------------ 3 1 5 | 8 9 4 | 6 7 2 6 7 8 | 2 1 3 | 9 4 5 9 2 4 | 6 5 7 | 1 3 8 ------------------------------------------------------------------------------ 1 (4,5,6,9) (6,7) | (4,9) 2 8 | (4,5,7) (5,6,9) 3 (2,4,5,7) (4,5,9) (2,7) | (1,4,9) 3 6 | 8 (1,2,5,9) (1,4,7) (2,4) 8 3 | (1,4,9) 7 5 | (2,4) (1,2,6,9) (1,4,6) (1) 先看第七列的這兩個６在左下的宮格中只有這兩個地方可以放６因此這一列上其他的６必須刪除 (2,4,5) (3,4,5) (1,2) | 7 6 9 | (2,3,4,5) 8 (1,4) (2,4,7) (3,4,6) 9 | 5 8 (1,2) | (2,3,4,7) (1,2,6) (1,4,6,7) 8 (5,6) (1,2,6,7) | 3 4 (1,2) | (2,5,7) (1,2,5,6) 9 ------------------------------------------------------------------------------ 3 1 5 | 8 9 4 | 6 7 2 6 7 8 | 2 1 3 | 9 4 5 9 2 4 | 6 5 7 | 1 3 8 ------------------------------------------------------------------------------ 1 (4,5,6,9) (6,7) | (4,9) 2 8 | (4,5,7) (5,9) 3 (2,4,5,7) (4,5,9) (2,7) | (1,4,9) 3 6 | 8 (1,2,5,9) (1,4,7) A(2,4) 8 3 | (1,4,9) 7 5 | B(2,4) (1,2,6,9) (1,4,6) (2) 接著是第九列的２和４因為不是A=2,B=4就是A=4,B=2 因此第九列其他的２和４必須刪除 (2,4,5) (3,4,5) (1,2) | 7 6 9 | (2,3,4,5) 8 (1,4) A(2,4,7) (3,4,6) 9 | 5 8 (1,2) | (2,3,4,7) (1,2,6) C(1,4,6,7) 8 (5,6) (1,2,6,7) | 3 4 (1,2) | (2,5,7) (1,2,5,6) 9 ------------------------------------------------------------------------------ 3 1 5 | 8 9 4 | 6 7 2 6 7 8 | 2 1 3 | 9 4 5 9 2 4 | 6 5 7 | 1 3 8 ------------------------------------------------------------------------------ 1 (4,5,6,9) (6,7) | (4,9) 2 8 | (4,5,7) (5,9) 3 B(2,4,5,7) (4,5,9) (2,7) | (1,4,9) 3 6 | 8 (1,2,5,9) D(1,4,7) (2,4) 8 3 | (1,9) 7 5 | (2,4) (1,6,9) (1,6) (3) 第一行的７剩下的A,B兩個位置和第九行的７剩下的C,D兩個位置可以組成一個長方形因為若A=7則D=7;若B=7則C=7 因此A,C所在的第二列以及B,D所在的第八列其他的７必須刪除 (2,4,5) (3,4,5) B(1,2) | 7 6 9 | (2,3,4,5) 8 D(1,4) (2,4,7) (3,4,6) 9 | 5 8 (1,2) | (2,3,4) (1,2,6) (1,4,6,7) 8 (5,6) (1,2,6,7) | 3 4 (1,2) | (2,5,7) (1,2,5,6) 9 ------------------------------------------------------------------------------ 3 1 5 | 8 9 4 | 6 7 2 6 7 8 | 2 1 3 | 9 4 5 9 2 4 | 6 5 7 | 1 3 8 ------------------------------------------------------------------------------ 1 (4,5,6,9) (6,7) | (4,9) 2 8 | (4,5,7) (5,9) 3 (2,4,5,7) (4,5,9) A(2) | (1,4,9) 3 6 | 8 (1,2,5,9) (1,4,7) C(2,4) 8 3 | (1,9) 7 5 | E(2,4) (1,6,9) (1,6) (4-1) 之後可以填入的數字有 A=2 , B=1 , C=4 , D=4 , E=2 (2,5) (3,5) 1 | 7 6 9 | B(3,5) 8 4 (2,7) (3,4,6) 9 | 5 8 (1,2) | A(3) (1,2,6) (1,6,7) 8 (5,6) (6,7) | 3 4 (1,2) | C(5,7) (1,2,5,6) 9 ------------------------------------------------------------------------------ 3 1 5 | 8 9 4 | 6 7 2 6 7 8 | 2 1 3 | 9 4 5 9 2 4 | 6 5 7 | 1 3 8 ------------------------------------------------------------------------------ 1 (5,6,9) (6,7) | E(4,9) 2 8 | D(4,5,7) (5,9) 3 (5,7) (5,9) 2 |G(1,4,9) 3 6 | 8 (1,5,9) (1,7) 4 8 3 | F(1,9) 7 5 | 2 (1,6,9) (1,6) (4-2) 之後可以填入的數字有 A=3 , B=5 , C=7 , D=4 , E=9 , F=1 , G=4 (2) (3) 1 | 7 6 9 | 5 8 4 (2,7) (4,6) 9 | 5 8 (1,2) | 3 (1,2,6) (1,6) 8 (5,6) (6) | 3 4 (1,2) | 7 (1,2,6) 9 ------------------------------------------------------------------------------ 3 1 5 | 8 9 4 | 6 7 2 6 7 8 | 2 1 3 | 9 4 5 9 2 4 | 6 5 7 | 1 3 8 ------------------------------------------------------------------------------ 1 (5,6) (6,7) | 9 2 8 | 4 (5) 3 (5,7) (5,9) 2 | 4 3 6 | 8 (1,5,9) (1,7) 4 8 3 | 1 7 5 | 2 (6,9) (6) (4-3) 其他格的結果 2 3 1 7 6 9 5 8 4 7 4 9 5 8 2 3 6 1 8 5 6 3 4 1 7 2 9 3 1 5 8 9 4 6 7 2 6 7 8 2 1 3 9 4 5 9 2 4 6 5 7 1 3 8 1 6 7 9 2 8 4 5 3 5 9 2 4 3 6 8 1 7 4 8 3 1 7 5 2 9 6 這是答案 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 125.229.181.62