Solution: Minimum Replacements to Sort the Array
Understand how to use greedy algorithms to achieve a non-decreasing order in an integer array by performing minimal replacement operations. Explore the strategy of breaking down larger elements while traversing from right to left, and learn to calculate the optimal number of splits to maintain sorted order efficiently.
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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:
nums.length...