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Solution: Minimum Replacements to Sort the Array

Explore how to transform an unsorted array into a non-decreasing sequence with the least number of replacement operations. Understand the greedy approach of traversing from right to left, splitting larger elements strategically, and minimizing operations by optimizing partitions to maintain sorted order.

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 ...