{ "data": { "question": { "questionId": "3327", "questionFrontendId": "3086", "categoryTitle": "Algorithms", "boundTopicId": 2689643, "title": "Minimum Moves to Pick K Ones", "titleSlug": "minimum-moves-to-pick-k-ones", "content": "

You are given a binary array nums of length n, a positive integer k and a non-negative integer maxChanges.

\n\n

Alice plays a game, where the goal is for Alice to pick up k ones from nums using the minimum number of moves. When the game starts, Alice picks up any index aliceIndex in the range [0, n - 1] and stands there. If nums[aliceIndex] == 1 , Alice picks up the one and nums[aliceIndex] becomes 0(this does not count as a move). After this, Alice can make any number of moves (including zero) where in each move Alice must perform exactly one of the following actions:

\n\n\n\n

Return the minimum number of moves required by Alice to pick exactly k ones.

\n\n

 

\n

Example 1:

\n\n
\n

Input: nums = [1,1,0,0,0,1,1,0,0,1], k = 3, maxChanges = 1

\n\n

Output: 3

\n\n

Explanation: Alice can pick up 3 ones in 3 moves, if Alice performs the following actions in each move when standing at aliceIndex == 1:

\n\n\n\n

Note that it may be possible for Alice to pick up 3 ones using some other sequence of 3 moves.

\n
\n\n

Example 2:

\n\n
\n

Input: nums = [0,0,0,0], k = 2, maxChanges = 3

\n\n

Output: 4

\n\n

Explanation: Alice can pick up 2 ones in 4 moves, if Alice performs the following actions in each move when standing at aliceIndex == 0:

\n\n\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "拾起 K 个 1 需要的最少行动次数", "translatedContent": "

给你一个下标从 0 开始的二进制数组 nums，其长度为 n ；另给你一个 正整数 k 以及一个 非负整数 maxChanges 。

\n\n

Alice 在玩一个游戏，游戏的目标是让 Alice 使用 最少 数量的 行动 次数从 nums 中拾起 k 个 1 。游戏开始时，Alice 可以选择数组 [0, n - 1] 范围内的任何索引 aliceIndex 站立。如果 nums[aliceIndex] == 1 ，Alice 会拾起一个 1 ，并且 nums[aliceIndex] 变成0（这 不算 作一次行动）。之后，Alice 可以执行 任意数量 的 行动（包括零次），在每次行动中 Alice 必须 恰好 执行以下动作之一：

\n\n\n\n

返回 Alice 拾起 恰好 k 个 1 所需的 最少 行动次数。

\n\n

 

\n\n

示例 1：

\n\n
\n

输入：nums = [1,1,0,0,0,1,1,0,0,1], k = 3, maxChanges = 1

\n\n

输出：3

\n\n

解释：如果游戏开始时 Alice 在 aliceIndex == 1 的位置上，按照以下步骤执行每个动作，他可以利用 3 次行动拾取 3 个 1 ：

\n\n\n\n

请注意，Alice 也可能执行其他的 3 次行动序列达成拾取 3 个 1 。

\n
\n\n

示例 2：

\n\n
\n

输入：nums = [0,0,0,0], k = 2, maxChanges = 3

\n\n

输出：4

\n\n

解释：如果游戏开始时 Alice 在 aliceIndex == 0 的位置上，按照以下步骤执行每个动作，他可以利用 4 次行动拾取 2 个 1 ：

\n\n\n
\n\n

 

\n\n

提示：

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