Minimum Replacements to Sort the Array
Explore how to apply greedy techniques to solve the problem of sorting an integer array by replacing elements with sums of two positive integers. This lesson helps you understand how to achieve a non-decreasing order with the fewest operations by strategically breaking down elements, enhancing your problem-solving skills for optimization challenges in 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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