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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 minimum replacement operations. Understand the greedy strategy of splitting larger numbers, traversing from right to left, and calculating the optimal number of splits to maintain order efficiently.

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 ...