{ "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:
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
.nums
strictly smaller than largest
. Let its value be nextLargest
.nums[i]
to nextLargest
.Return the number of operations to make all elements in nums
equal.
\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\n1 <= nums.length <= 5 * 104
1 <= nums[i] <= 5 * 104
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:
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
。nums
中的 下一个最大 值,这个值 严格小于 largest
,记为 nextLargest
。nums[i]
减少到 nextLargest
。返回使 nums
中的所有元素相等的操作次数。
\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:
\n\n1 <= nums.length <= 5 * 104
1 <= nums[i] <= 5 * 104
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