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Solution: Minimum Replacements to Sort the Array

Explore how to transform an unsorted integer array into a non-decreasing sequence using the fewest operations. Learn to apply a right-to-left greedy algorithm that splits larger elements strategically to maintain sorted order while minimizing replacements. Understand the approach to traversal, element splitting, and efficiency to solve optimization problems involving array sorting.

Statement

You are given a 0-indexed integer array nums. You are allowed to perform the following operation any number of times:

  • Select any element in the array and replace it with two positive integers whose sum is equal to the selected element.

For example, if the array is nums = [5, 6, 7], you can choose the element 6 and replace it with 2 ...