How to Solve Reduction Operations to Make the Array Elements Equal Problem
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Reduction Operations to Make the Array Elements Equal
Given an integer array nums, your goal is to make all elements in nums equal. To complete one operation, follow these steps: Find the largest value in nums. Let its index be i (0-indexed) and its valu...
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Understanding the Reduction Operations to Make the Array Elements Equal Problem
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Problem Statement
Given an integer array nums, your goal is to make all elements in nums equal. To complete one operation, follow these steps: 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. Find the next largest value in nums strictly smaller than largest. Let its value be nextLargest. Reduce nums[i] to nextLargest. Return the number of operations to make all elements in nums equal.
Reduction Operations to Make the Array Elements Equal
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Examples
nums = [5,1,3]3It takes 3 operations to make all elements in nums equal: 1. largest = 5 at index 0. nextLargest = 3. Reduce nums[0] to 3. nums = [3,1,3]. 2. largest = 3 at index 0. nextLargest = 1. Reduce nums[0] to 1. nums = [1,1,3]. 3. largest = 3 at index 2. nextLargest = 1. Reduce nums[2] to 1. nums = [1,1,1].
nums = [1,1,1]0All elements in nums are already equal.
nums = [1,1,2,2,3]4It takes 4 operations to make all elements in nums equal: 1. largest = 3 at index 4. nextLargest = 2. Reduce nums[4] to 2. nums = [1,1,2,2,2]. 2. largest = 2 at index 2. nextLargest = 1. Reduce nums[2] to 1. nums = [1,1,1,2,2]. 3. largest = 2 at index 3. nextLargest = 1. Reduce nums[3] to 1. nums = [1,1,1,1,2]. 4. largest = 2 at index 4. nextLargest = 1. Reduce nums[4] to 1. nums = [1,1,1,1,1].
Constraints
1 <= nums.length <= 5 * 1041 <= nums[i] <= 5 * 104How Interview Coder Helps with Leetcode Problems
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