Minimum Replacements to Sort the Array
Explore how to apply greedy techniques to minimize the number of replacements needed to sort an integer array in non-decreasing order. This lesson guides you through analyzing the problem and implementing an efficient solution that helps develop your skills in optimization and algorithm design for coding interviews.
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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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