2005-09-09 10:58 39 Coins Puzzle 系統性解法
之前Post過12枚硬幣秤重的解法 (12 Coins Puzzle 系統性解法)
現在增加到39枚硬幣,可以秤四次,其餘規則一樣
你秤得出來嗎?
秤法:(因為數目太大,改成數字代表硬幣)
結果查表:
現在增加到39枚硬幣,可以秤四次,其餘規則一樣
你秤得出來嗎?
秤法:(因為數目太大,改成數字代表硬幣)
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天秤左邊 | |
天秤右邊 | ||||||||||||||||||||||||||
| 第一次 | 2 | 5 | 8 | 10 | 14 | 17 | 20 | 23 | 26 | 29 | 31 | 34 | 37 | 3 | 6 | 9 | 11 | 15 | 18 | 21 | 24 | 27 | 30 | 32 | 35 | 38 | ||||
| 第二次 | 2 | 5 | 7 | 11 | 14 | 16 | 19 | 23 | 25 | 28 | 32 | 36 | 38 | 3 | 6 | 8 | 12 | 15 | 17 | 20 | 24 | 26 | 29 | 33 | 34 | 39 | ||||
| 第三次 | 2 | 4 | 8 | 11 | 13 | 17 | 19 | 22 | 26 | 30 | 33 | 35 | 38 | 3 | 5 | 9 | 12 | 14 | 18 | 20 | 23 | 27 | 28 | 31 | 36 | 39 | ||||
| 第四次 | 1 | 5 | 8 | 11 | 13 | 16 | 20 | 24 | 27 | 29 | 32 | 35 | 39 | 2 | 6 | 9 | 12 | 14 | 17 | 21 | 22 | 25 | 30 | 33 | 36 | 37 | ||||
結果查表:
| 重的 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| 第一次 | = | > | < | = | > | < | = | > | < | > | < | = | = | > | < | = | > | < | = | > |
| 第二次 | = | > | < | = | > | < | > | < | = | = | > | < | = | > | < | > | < | = | > | < |
| 第三次 | = | > | < | > | < | = | = | > | < | = | > | < | > | < | = | = | > | < | > | < |
| 第四次 | > | < | = | = | > | < | = | > | < | = | > | < | > | < | = | > | < | = | = | > |
| 重的 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
| 第一次 | < | = | > | < | = | > | < | = | > | < | > | < | = | > | < | = | > | < | = |
| 第二次 | = | = | > | < | > | < | = | > | < | = | = | > | < | < | = | > | = | > | < |
| 第三次 | = | > | < | = | = | > | < | < | = | > | < | = | > | = | > | < | = | > | < |
| 第四次 | < | < | = | > | < | = | > | = | > | < | = | > | < | = | > | < | < | = | > |
| 輕的 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| 第一次 | = | < | > | = | < | > | = | < | > | < | > | = | = | < | > | = | < | > | = | < |
| 第二次 | = | < | > | = | < | > | < | > | = | = | < | > | = | < | > | < | > | = | < | > |
| 第三次 | = | < | > | < | > | = | = | < | > | = | < | > | < | > | = | = | < | > | < | > |
| 第四次 | < | > | = | = | < | > | = | < | > | = | < | > | < | > | = | < | > | = | = | < |
| 輕的 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
| 第一次 | > | = | < | > | = | < | > | = | < | > | < | > | = | < | > | = | < | > | = |
| 第二次 | = | = | < | > | < | > | = | < | > | = | = | < | > | > | = | < | = | < | > |
| 第三次 | = | < | > | = | = | < | > | > | = | < | > | = | < | = | < | > | = | < | > |
| 第四次 | > | > | = | < | > | = | < | = | < | > | = | < | > | = | < | > | > | = | < |
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