Problem: Minimum Replacements to Sort the Array

hard

40 min

Explore the use of greedy techniques to solve optimization problems by finding the minimum number of replacements needed to sort an integer array. Understand the problem constraints and implement solutions efficiently to achieve a non-decreasing order.

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:

$1 \leq$ nums.length $\leq 10^3$
$1 \leq$ nums[i] $\leq 10^5$

Problem: Minimum Replacements to Sort the Array

hard

40 min

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:

$1 \leq$ nums.length $\leq 10^3$
$1 \leq$ nums[i] $\leq 10^5$

Problem: Minimum Replacements to Sort the Array

Statement

Examples

Understand the problem

Figure it out!

Try it yourself

Problem: Minimum Replacements to Sort the Array

Statement

Examples

Understand the problem

Figure it out!

Try it yourself