{ "data": { "question": { "questionId": "292", "questionFrontendId": "292", "categoryTitle": "Algorithms", "boundTopicId": 1086, "title": "Nim Game", "titleSlug": "nim-game", "content": "

You are playing the following Nim Game with your friend:

\n\n\n\n

Given n, the number of stones in the heap, return true if you can win the game assuming both you and your friend play optimally, otherwise return false.

\n\n

 

\n

Example 1:

\n\n
\nInput: n = 4\nOutput: false\nExplanation: These are the possible outcomes:\n1. You remove 1 stone. Your friend removes 3 stones, including the last stone. Your friend wins.\n2. You remove 2 stones. Your friend removes 2 stones, including the last stone. Your friend wins.\n3. You remove 3 stones. Your friend removes the last stone. Your friend wins.\nIn all outcomes, your friend wins.\n
\n\n

Example 2:

\n\n
\nInput: n = 1\nOutput: true\n
\n\n

Example 3:

\n\n
\nInput: n = 2\nOutput: true\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "Nim 游戏", "translatedContent": "

你和你的朋友,两个人一起玩 Nim 游戏

\n\n\n\n

假设你们每一步都是最优解。请编写一个函数,来判断你是否可以在给定石头数量为 n 的情况下赢得游戏。如果可以赢,返回 true;否则,返回 false

\n\n

 

\n\n

示例 1:

\n\n
\n输入:n = 4\n输出:false \n解释:以下是可能的结果:\n1. 移除1颗石头。你的朋友移走了3块石头,包括最后一块。你的朋友赢了。\n2. 移除2个石子。你的朋友移走2块石头,包括最后一块。你的朋友赢了。\n3.你移走3颗石子。你的朋友移走了最后一块石头。你的朋友赢了。\n在所有结果中,你的朋友是赢家。\n
\n\n

示例 2:

\n\n
\n输入:n = 1\n输出:true\n
\n\n

示例 3:

\n\n
\n输入:n = 2\n输出:true\n
\n\n

 

\n\n

提示:

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