Leetcode 2578: Split With Minimum Sum

grid47
grid47
Exploring patterns and algorithms
Feb 23, 2024 5 min read

Given a positive integer num, split it into two non-negative integers num1 and num2 such that the concatenation of num1 and num2 is a permutation of the digits of num. The goal is to minimize the sum of num1 and num2.
Problem
Approach
Steps
Complexity
Input: The input consists of a positive integer num.
Example: For example, num = 8657.
Constraints:
• 10 <= num <= 10^9
Output: The output is an integer, the minimum possible sum of num1 and num2 after splitting the digits of num.
Example: For num = 592, the output is 56.
Constraints:
• The output is an integer representing the minimal possible sum.
Goal: The goal is to find the minimum sum after splitting the digits of num into two valid numbers.
Steps:
• 1. Extract the digits of num.
• 2. Sort the digits in ascending order to minimize the sum.
• 3. Distribute the digits alternatively between num1 and num2 to form two valid numbers.
• 4. Compute and return the sum of num1 and num2.
Goal: The input number num is guaranteed to be between 10 and 10^9.
Steps:
• 10 <= num <= 10^9
Assumptions:
• The number num will always have at least two digits.
Input: For num = 592, the output is 56.
Explanation: We split 592 into num1 = 5 and num2 = 9. The sum of 5 and 9 is 56, which is the minimum possible sum.

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