[問題] 填色問題
看板Prob_Solve (計算數學 Problem Solving)作者raincole (冷雨)時間15年前 (2009/09/17 23:38)推噓3(3推 0噓 8→)留言11則, 3人參與討論串1/2 (看更多)
※ [本文轉錄自 puzzle 看板]
作者: raincole (冷雨) 看板: puzzle
標題: [問題] 填色問題
時間: Wed Sep 16 07:36:52 2009
有一張6*4的方格紙,將其中12格塗黑,使每列皆有2格、每行皆有3格為黑。
問有多少種上色方法?
原方格紙:
□□□□
□□□□
□□□□
□□□□
□□□□
□□□□
其中一種上色方法:
■■□□
□■■□
□□■■
■■□□
■□□■
□□■■
這題有沒有什麼方法可以計算?
又,如果每列要求的黑格數是不等的呢?(每行仍然相等)
版友rehearttw提出交換法,
但假設我一開始的盤面是這樣:
□■■□
□■■□
□■■□
■□□■
■□□■
■□□■
交換以後就會產生重複解了...
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※ 編輯: raincole 來自: 113.61.199.94 (09/16 12:21)
※ 編輯: raincole 來自: 113.61.199.94 (09/16 12:22)
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※ 編輯: raincole 來自: 113.61.199.94 (09/16 15:19)
※ 編輯: raincole 來自: 113.61.199.94 (09/16 15:19)
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※ 編輯: raincole 來自: 113.61.199.94 (09/19 16:58)
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09/19 16:58, , 6F
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