Problem: Minimum Replacements to Sort the Array

Medium

30 min

Explore how to apply greedy algorithms to minimize replacements needed to sort an integer array. Learn to split elements strategically and achieve a sorted non-decreasing order with minimum operations. Understand problem constraints and implement solutions through hands-on coding practice.

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

Medium

30 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