24点解答

Created on: January 29, 2025

Answered using O1 by Chat01

Question

我在玩24点的游戏,4张牌是 A,5,5,5,能算出来吗?

Thought

Breaking down the task

I’m thinking through four cards (A=1, 5, 5, 5) for the 24 game. Initially, I try basic operations like subtraction and division but hit a dead end.

Testing new angles

I’m working through various arithmetic combinations, including multiplication and fractional manipulations, to reach 24. Eventually, I discover an expression using parentheses and a fraction: 5 * (5 - 1/5) = 24.

Confirming the method

I’m ensuring the accuracy of the expression (5 × (5 - A/5)) = 24. It efficiently incorporates all four cards and meets the rules of the 24 game.

Thought about 24点游戏计算,持续 34 秒

Answer

在 24 点游戏中,A 通常视为 1。
给出的 4 张牌是 A、5、5、5,如果将 A=1,那么可以用以下表达式得到 24:

5×(5A5)5 \times \left( 5 - \frac{A}{5} \right)

具体步骤如下:

  1. A ÷ 5 = 1 ÷ 5 = 0.2
  2. 5 - 0.2 = 4.8
  3. 5 × 4.8 = 24

这样就用完了 A 和三个 5,满足游戏要求。

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