{ "data": { "question": { "questionId": "1938", "questionFrontendId": "1827", "categoryTitle": "Algorithms", "boundTopicId": 722672, "title": "Minimum Operations to Make the Array Increasing", "titleSlug": "minimum-operations-to-make-the-array-increasing", "content": "

You are given an integer array nums (0-indexed). In one operation, you can choose an element of the array and increment it by 1.

\r\n\r\n\r\n\r\n

Return the minimum number of operations needed to make nums strictly increasing.

\r\n\r\n

An array nums is strictly increasing if nums[i] < nums[i+1] for all 0 <= i < nums.length - 1. An array of length 1 is trivially strictly increasing.

\r\n\r\n

 

\r\n

Example 1:

\r\n\r\n
\r\nInput: nums = [1,1,1]\r\nOutput: 3\r\nExplanation: You can do the following operations:\r\n1) Increment nums[2], so nums becomes [1,1,2].\r\n2) Increment nums[1], so nums becomes [1,2,2].\r\n3) Increment nums[2], so nums becomes [1,2,3].\r\n
\r\n\r\n

Example 2:

\r\n\r\n
\r\nInput: nums = [1,5,2,4,1]\r\nOutput: 14\r\n
\r\n\r\n

Example 3:

\r\n\r\n
\r\nInput: nums = [8]\r\nOutput: 0\r\n
\r\n\r\n

 

\r\n

Constraints:

\r\n\r\n", "translatedTitle": "最少操作使数组递增", "translatedContent": "

给你一个整数数组 nums (下标从 0 开始)。每一次操作中,你可以选择数组中一个元素,并将它增加 1 。

\n\n\n\n

请你返回使 nums 严格递增 的 最少 操作次数。

\n\n

我们称数组 nums 是 严格递增的 ,当它满足对于所有的 0 <= i < nums.length - 1 都有 nums[i] < nums[i+1] 。一个长度为 1 的数组是严格递增的一种特殊情况。

\n\n

 

\n\n

示例 1:

\n\n
输入:nums = [1,1,1]\n输出:3\n解释:你可以进行如下操作:\n1) 增加 nums[2] ,数组变为 [1,1,2] 。\n2) 增加 nums[1] ,数组变为 [1,2,2] 。\n3) 增加 nums[2] ,数组变为 [1,2,3] 。\n
\n\n

示例 2:

\n\n
输入:nums = [1,5,2,4,1]\n输出:14\n
\n\n

示例 3:

\n\n
输入:nums = [8]\n输出:0\n
\n\n

 

\n\n

提示:

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