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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 replacements. Understand why traversing from right to left and splitting elements strategically minimizes operations. This lesson teaches a greedy algorithm with O(n) time complexity to efficiently solve the problem.

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 ...