Minimum Replacements to Sort the Array
Explore how to solve the problem of sorting an integer array by performing the fewest replacements with two positive integers. Understand the use of greedy algorithms to determine the minimum operations needed for a non-decreasing order array. Practice implementing this strategy to build a solid grasp of optimization in coding interview questions.
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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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