LeetCode 1413: Minimum Value to Get Positive Step by Step Sum Solution

Master LeetCode problem 1413 (Minimum Value to Get Positive Step by Step Sum), a easy challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

1413. Minimum Value to Get Positive Step by Step Sum

Easy

Array Prefix Sum

Problem Explanation

Explanation

To solve this problem, we need to find the minimum positive value for startValue such that the cumulative sum of startValue and the elements of the array nums is never less than 1. We can achieve this by iterating over the array from left to right, keeping track of the cumulative sum and updating the minimum startValue as needed. The algorithm involves calculating the cumulative sum and adjusting the startValue until the cumulative sum is always positive.

Initialize startValue as 1.
Iterate over the array nums from left to right.
Update the cumulative sum by adding the current element of nums.
If the cumulative sum becomes negative, update the startValue to ensure the cumulative sum remains positive.
Return the updated startValue as the minimum positive value.

Time Complexity: O(n) where n is the number of elements in the array nums. Space Complexity: O(1)

Solution Code

class Solution {
    public int minStartValue(int[] nums) {
        int startValue = 1;
        int sum = startValue;
        
        for (int num : nums) {
            sum += num;
            if (sum < 1) {
                startValue += 1 - sum;
                sum = 1;
            }
        }
        
        return startValue;
    }
}

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