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Solution: Minimum Replacements to Sort the Array

Explore how to make an integer array sorted in non-decreasing order with the least replacements. Learn to apply greedy algorithms by splitting larger elements based on adjacent values, processing from right to left, and minimizing operations. Understand the approach to break numbers optimally and preserve sorted 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 ...