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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 replacement operations. Understand the greedy strategy of breaking down larger elements from right to left to maintain order, minimizing replacements through optimized splitting methods.

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 ...