{ "data": { "question": { "questionId": "3279", "questionFrontendId": "3021", "categoryTitle": "Algorithms", "boundTopicId": 2619047, "title": "Alice and Bob Playing Flower Game", "titleSlug": "alice-and-bob-playing-flower-game", "content": "

Alice and Bob are playing a turn-based game on a field, with two lanes of flowers between them. There are x flowers in the first lane between Alice and Bob, and y flowers in the second lane between them.

\n\n

\"\"

\n\n

The game proceeds as follows:

\n\n
    \n\t
  1. Alice takes the first turn.
  2. \n\t
  3. In each turn, a player must choose either one of the lane and pick one flower from that side.
  4. \n\t
  5. At the end of the turn, if there are no flowers left at all in either lane, the current player captures their opponent and wins the game.
  6. \n
\n\n

Given two integers, n and m, the task is to compute the number of possible pairs (x, y) that satisfy the conditions:

\n\n\n\n

Return the number of possible pairs (x, y) that satisfy the conditions mentioned in the statement.

\n\n

 

\n

Example 1:

\n\n
\nInput: n = 3, m = 2\nOutput: 3\nExplanation: The following pairs satisfy conditions described in the statement: (1,2), (3,2), (2,1).\n
\n\n

Example 2:

\n\n
\nInput: n = 1, m = 1\nOutput: 0\nExplanation: No pairs satisfy the conditions described in the statement.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "Alice 和 Bob 玩鲜花游戏", "translatedContent": "

Alice 和 Bob 在一片田野上玩一个回合制游戏,他们之间有两排花。Alice 和 Bob 之间第一排有 x 朵花,第二排有 y 朵花。

\n\n

\"\"

\n\n

游戏过程如下:

\n\n
    \n\t
  1. Alice 先行动。
  2. \n\t
  3. 每一次行动中,当前玩家必须选择其中一排,然后在这边摘一朵鲜花。
  4. \n\t
  5. 一次行动结束后,如果两排上都没有剩下鲜花,那么 当前 玩家抓住对手并赢得游戏的胜利。
  6. \n
\n\n

给你两个整数 n 和 m ,你的任务是求出满足以下条件的所有 (x, y) 对:

\n\n\n\n

请你返回满足题目描述的数对 (x, y) 的数目。

\n\n

 

\n\n

示例 1:

\n\n
\n输入:n = 3, m = 2\n输出:3\n解释:以下数对满足题目要求:(1,2) ,(3,2) ,(2,1) 。\n
\n\n

示例 2:

\n\n
\n输入:n = 1, m = 1\n输出:0\n解释:没有数对满足题目要求。\n
\n\n

 

\n\n

提示:

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