Minimum Replacements to Sort the Array
Explore how to apply greedy techniques to minimize the number of replacements needed to sort an integer array. Understand the problem constraints, perform operations to split numbers, and implement an efficient solution to achieve a non-decreasing order with minimal steps.
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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 and 4, resulting in a new array [5, 2, 4, 7].
Your goal is to make the array sorted in non-decreasing order using the minimum number of operations.
Return the minimum number of operations required to achieve this.
Constraints:
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