{ "data": { "question": { "questionId": "985", "questionFrontendId": "948", "categoryTitle": "Algorithms", "boundTopicId": 2420, "title": "Bag of Tokens", "titleSlug": "bag-of-tokens", "content": "

You start with an initial power of power, an initial score of 0, and a bag of tokens given as an integer array tokens, where each tokens[i] denotes the value of tokeni.

\n\n

Your goal is to maximize the total score by strategically playing these tokens. In one move, you can play an unplayed token in one of the two ways (but not both for the same token):

\n\n\n\n

Return the maximum possible score you can achieve after playing any number of tokens.

\n\n

 

\n

Example 1:

\n\n
\n

Input: tokens = [100], power = 50

\n\n

Output: 0

\n\n

Explanation: Since your score is 0 initially, you cannot play the token face-down. You also cannot play it face-up since your power (50) is less than tokens[0] (100).

\n
\n\n

Example 2:

\n\n
\n

Input: tokens = [200,100], power = 150

\n\n

Output: 1

\n\n

Explanation: Play token1 (100) face-up, reducing your power to 50 and increasing your score to 1.

\n\n

There is no need to play token0, since you cannot play it face-up to add to your score. The maximum score achievable is 1.

\n
\n\n

Example 3:

\n\n
\n

Input: tokens = [100,200,300,400], power = 200

\n\n

Output: 2

\n\n

Explanation: Play the tokens in this order to get a score of 2:

\n\n
    \n\t
  1. Play token0 (100) face-up, reducing power to 100 and increasing score to 1.
    2. \n\t
  2. Play token3 (400) face-down, increasing power to 500 and reducing score to 0.
    3. \n\t
  3. Play token1 (200) face-up, reducing power to 300 and increasing score to 1.
    4. \n\t
  4. Play token2 (300) face-up, reducing power to 0 and increasing score to 2.
    5. \n
\n\n

The maximum score achievable is 2.

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "令牌放置", "translatedContent": "

你的初始 能量 为 power，初始 分数 为 0，只有一包令牌以整数数组 tokens 给出。其中 tokens[i] 是第 i 个令牌的值（下标从 0 开始）。

\n\n

你的目标是通过有策略地使用这些令牌以 最大化 总 分数。在一次行动中，你可以用两种方式中的一种来使用一个 未被使用的 令牌（但不是对同一个令牌使用两种方式）：

\n\n\n\n

在使用 任意 数量的令牌后，返回我们可以得到的最大 分数 。

\n\n

 

\n\n
    \n
\n\n

示例 1：

\n\n
\n输入：tokens = [100], power = 50\n输出：0\n解释：因为你的初始分数为 0，无法使令牌朝下。你也不能使令牌朝上因为你的能量（50）比 tokens[0] 少（100）。
\n\n

示例 2：

\n\n
\n输入：tokens = [200,100], power = 150\n输出：1\n解释：使令牌 1 正面朝上，能量变为 50，分数变为 1 。\n不必使用令牌 0，因为你无法使用它来提高分数。可得到的最大分数是 1。
\n\n

示例 3：

\n\n
\n输入：tokens = [100,200,300,400], power = 200\n输出：2\n解释：按下面顺序使用令牌可以得到 2 分：\n1. 令牌 0 (100)正面朝上，能量变为 100 ，分数变为 1\n2. 令牌 3 (400)正面朝下，能量变为 500 ，分数变为 0\n3. 令牌 1 (200)正面朝上，能量变为 300 ，分数变为 1\n4. 令牌 2 (300)正面朝上，能量变为 0 ，分数变为 2\n\n可得的最大分数是 2。\n
\n\n

 

\n\n

提示：

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            "dailyRecordStatus": null,
            "editorType": "CKEDITOR",
            "ugcQuestionId": null,
            "style": "LEETCODE",
            "exampleTestcases": "[100]\n50\n[200,100]\n150\n[100,200,300,400]\n200",
            "__typename": "QuestionNode"
        }
    }
}