{ "data": { "question": { "questionId": "2016", "questionFrontendId": "1887", "categoryTitle": "Algorithms", "boundTopicId": 808651, "title": "Reduction Operations to Make the Array Elements Equal", "titleSlug": "reduction-operations-to-make-the-array-elements-equal", "content": "

Given an integer array nums, your goal is to make all elements in nums equal. To complete one operation, follow these steps:

\n\n
    \n\t
  1. Find the largest value in nums. Let its index be i (0-indexed) and its value be largest. If there are multiple elements with the largest value, pick the smallest i.
  2. \n\t
  3. Find the next largest value in nums strictly smaller than largest. Let its value be nextLargest.
  4. \n\t
  5. Reduce nums[i] to nextLargest.
  6. \n
\n\n

Return the number of operations to make all elements in nums equal.

\n\n

 

\n

Example 1:

\n\n
\nInput: nums = [5,1,3]\nOutput: 3\nExplanation: It takes 3 operations to make all elements in nums equal:\n1. largest = 5 at index 0. nextLargest = 3. Reduce nums[0] to 3. nums = [3,1,3].\n2. largest = 3 at index 0. nextLargest = 1. Reduce nums[0] to 1. nums = [1,1,3].\n3. largest = 3 at index 2. nextLargest = 1. Reduce nums[2] to 1. nums = [1,1,1].\n
\n\n

Example 2:

\n\n
\nInput: nums = [1,1,1]\nOutput: 0\nExplanation: All elements in nums are already equal.\n
\n\n

Example 3:

\n\n
\nInput: nums = [1,1,2,2,3]\nOutput: 4\nExplanation: It takes 4 operations to make all elements in nums equal:\n1. largest = 3 at index 4. nextLargest = 2. Reduce nums[4] to 2. nums = [1,1,2,2,2].\n2. largest = 2 at index 2. nextLargest = 1. Reduce nums[2] to 1. nums = [1,1,1,2,2].\n3. largest = 2 at index 3. nextLargest = 1. Reduce nums[3] to 1. nums = [1,1,1,1,2].\n4. largest = 2 at index 4. nextLargest = 1. Reduce nums[4] to 1. nums = [1,1,1,1,1].\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "使数组元素相等的减少操作次数", "translatedContent": "

给你一个整数数组 nums ,你的目标是令 nums 中的所有元素相等。完成一次减少操作需要遵照下面的几个步骤:

\n\n
    \n\t
  1. 找出 nums 中的 最大 值。记这个值为 largest 并取其下标 i下标从 0 开始计数)。如果有多个元素都是最大值,则取最小的 i
  2. \n\t
  3. 找出 nums 中的 下一个最大 值,这个值 严格小于 largest ,记为 nextLargest
  4. \n\t
  5. nums[i] 减少到 nextLargest
  6. \n
\n\n

返回使 nums 中的所有元素相等的操作次数。

\n\n

 

\n\n

示例 1:

\n\n
\n输入:nums = [5,1,3]\n输出:3\n解释:需要 3 次操作使 nums 中的所有元素相等:\n1. largest = 5 下标为 0 。nextLargest = 3 。将 nums[0] 减少到 3 。nums = [3,1,3] 。\n2. largest = 3 下标为 0 。nextLargest = 1 。将 nums[0] 减少到 1 。nums = [1,1,3] 。\n3. largest = 3 下标为 2 。nextLargest = 1 。将 nums[2] 减少到 1 。nums = [1,1,1] 。\n
\n\n

示例 2:

\n\n
\n输入:nums = [1,1,1]\n输出:0\n解释:nums 中的所有元素已经是相等的。\n
\n\n

示例 3:

\n\n
\n输入:nums = [1,1,2,2,3]\n输出:4\n解释:需要 4 次操作使 nums 中的所有元素相等:\n1. largest = 3 下标为 4 。nextLargest = 2 。将 nums[4] 减少到 2 。nums = [1,1,2,2,2] 。\n2. largest = 2 下标为 2 。nextLargest = 1 。将 nums[2] 减少到 1 。nums = [1,1,1,2,2] 。 \n3. largest = 2 下标为 3 。nextLargest = 1 。将 nums[3] 减少到 1 。nums = [1,1,1,1,2] 。 \n4. largest = 2 下标为 4 。nextLargest = 1 。将 nums[4] 减少到 1 。nums = [1,1,1,1,1] 。\n
\n\n

 

\n\n

提示:

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