youtube不少实测,我也试了一下版上前段时间讨论过的问题,grok 3是主流llm中思维最简单、错的最离谱的一个。
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how to make 7 using three 2s?
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To make the number 7 using exactly three 2s, we need to combine the 2s with mathematical operations. Let's explore possible ways to achieve this.
Solution:
We can use addition, subtraction, multiplication, division, exponentiation, or other operations. After some trial and error, one way to make 7 is:
[
2 + 2 + 2 = 6, \quad \text{but we need 7, so let's adjust.}
]
Try using division and addition:
[
2 + \frac{2}{2} = 2 + 1 = 3, \quad \text{still not 7.}
]
Now let's try a combination involving exponentiation and division:
[
2^2 + 2 + 2 = 4 + 2 + 2 = 8, \quad \text{too high.}
]
Let's try:
[
2^2 + 2 + \frac{2}{2} = 4 + 2 + 1 = 7.
]
This works! But we need to check if it uses exactly three 2s:
(2^2) uses one 2,
(+ 2) uses the second 2,
(\frac{2}{2}) uses the third 2.
So, the expression (2^2 + 2 + \frac{2}{2}) indeed uses exactly three 2s.
Final Answer:
[
7 = 2^2 + 2 + \frac{2}{2}.
]
VladPutin 写了: 2025年 2月 19日 14:14
马部长用了20万张卡装逼结果只比第二名跑分高1%,笑死个人了。