{ "data": { "question": { "questionId": "2261", "questionFrontendId": "2155", "categoryTitle": "Algorithms", "boundTopicId": 1208005, "title": "All Divisions With the Highest Score of a Binary Array", "titleSlug": "all-divisions-with-the-highest-score-of-a-binary-array", "content": "

You are given a 0-indexed binary array nums of length n. nums can be divided at index i (where 0 <= i <= n) into two arrays (possibly empty) numsleft and numsright:

\n\n\n\n

The division score of an index i is the sum of the number of 0's in numsleft and the number of 1's in numsright.

\n\n

Return all distinct indices that have the highest possible division score. You may return the answer in any order.

\n\n

 

\n

Example 1:

\n\n
\nInput: nums = [0,0,1,0]\nOutput: [2,4]\nExplanation: Division at index\n- 0: numsleft is []. numsright is [0,0,1,0]. The score is 0 + 1 = 1.\n- 1: numsleft is [0]. numsright is [0,1,0]. The score is 1 + 1 = 2.\n- 2: numsleft is [0,0]. numsright is [1,0]. The score is 2 + 1 = 3.\n- 3: numsleft is [0,0,1]. numsright is [0]. The score is 2 + 0 = 2.\n- 4: numsleft is [0,0,1,0]. numsright is []. The score is 3 + 0 = 3.\nIndices 2 and 4 both have the highest possible division score 3.\nNote the answer [4,2] would also be accepted.
\n\n

Example 2:

\n\n
\nInput: nums = [0,0,0]\nOutput: [3]\nExplanation: Division at index\n- 0: numsleft is []. numsright is [0,0,0]. The score is 0 + 0 = 0.\n- 1: numsleft is [0]. numsright is [0,0]. The score is 1 + 0 = 1.\n- 2: numsleft is [0,0]. numsright is [0]. The score is 2 + 0 = 2.\n- 3: numsleft is [0,0,0]. numsright is []. The score is 3 + 0 = 3.\nOnly index 3 has the highest possible division score 3.\n
\n\n

Example 3:

\n\n
\nInput: nums = [1,1]\nOutput: [0]\nExplanation: Division at index\n- 0: numsleft is []. numsright is [1,1]. The score is 0 + 2 = 2.\n- 1: numsleft is [1]. numsright is [1]. The score is 0 + 1 = 1.\n- 2: numsleft is [1,1]. numsright is []. The score is 0 + 0 = 0.\nOnly index 0 has the highest possible division score 2.\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "分组得分最高的所有下标", "translatedContent": "

给你一个下标从 0 开始的二进制数组 nums ，数组长度为 n 。nums 可以按下标 i（ 0 <= i <= n ）拆分成两个数组（可能为空）：numsleft 和 numsright 。

\n\n\n\n

下标 i 的 分组得分 为 numsleft 中 0 的个数和 numsright 中 1 的个数之 和 。

\n\n

返回 分组得分 最高 的 所有不同下标 。你可以按 任意顺序 返回答案。

\n\n

 

\n\n

示例 1：

\n\n
输入：nums = [0,0,1,0]\n输出：[2,4]\n解释：按下标分组\n- 0 ：numsleft 为 [] 。numsright 为 [0,0,1,0] 。得分为 0 + 1 = 1 。\n- 1 ：numsleft 为 [0] 。numsright 为 [0,1,0] 。得分为 1 + 1 = 2 。\n- 2 ：numsleft 为 [0,0] 。numsright 为 [1,0] 。得分为 2 + 1 = 3 。\n- 3 ：numsleft 为 [0,0,1] 。numsright 为 [0] 。得分为 2 + 0 = 2 。\n- 4 ：numsleft 为 [0,0,1,0] 。numsright 为 [] 。得分为 3 + 0 = 3 。\n下标 2 和 4 都可以得到最高的分组得分 3 。\n注意，答案 [4,2] 也被视为正确答案。
\n\n

示例 2：

\n\n
输入：nums = [0,0,0]\n输出：[3]\n解释：按下标分组\n- 0 ：numsleft 为 [] 。numsright 为 [0,0,0] 。得分为 0 + 0 = 0 。\n- 1 ：numsleft 为 [0] 。numsright 为 [0,0] 。得分为 1 + 0 = 1 。\n- 2 ：numsleft 为 [0,0] 。numsright 为 [0] 。得分为 2 + 0 = 2 。\n- 3 ：numsleft 为 [0,0,0] 。numsright 为 [] 。得分为 3 + 0 = 3 。\n只有下标 3 可以得到最高的分组得分 3 。\n
\n\n

示例 3：

\n\n
输入：nums = [1,1]\n输出：[0]\n解释：按下标分组\n- 0 ：numsleft 为 [] 。numsright 为 [1,1] 。得分为 0 + 2 = 2 。\n- 1 ：numsleft 为 [1] 。numsright 为 [1] 。得分为 0 + 1 = 1 。\n- 2 ：numsleft 为 [1,1] 。numsright 为 [] 。得分为 0 + 0 = 0 。\n只有下标 0 可以得到最高的分组得分 2 。\n
\n\n

 

\n\n

提示：

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