LeetCode 1956: Minimum Time For K Virus Variants to Spread Solution

Master LeetCode problem 1956 (Minimum Time For K Virus Variants to Spread), a hard 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.

1956. Minimum Time For K Virus Variants to Spread

Hard

Array Math Binary Search Geometry Enumeration

Problem Explanation

Explanation:

To solve this problem, we can use a binary search approach to find the minimum time required for K virus variants to spread through the network. We can start with a lower bound of 1 and an upper bound of the maximum possible time. Then, we iteratively perform binary search to narrow down the search space until we find the minimum time where K virus variants can spread.

Define a function canSpread that takes the time as input and returns true if K virus variants can spread within that time.
Use binary search to find the minimum time required for K virus variants to spread.
Update the lower and upper bounds based on whether the virus variants can spread within the given time.
Finally, return the minimum time required.

Time Complexity:

The time complexity of this approach is O(N log M), where N is the number of nodes in the network and M is the maximum possible time.

Space Complexity:

The space complexity is O(1) as we are using constant extra space.

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Solution Code

class Solution {
    public int minTime(int[][] graph, int K) {
        int n = graph.length;
        int left = 1, right = Integer.MAX_VALUE;
        
        while (left < right) {
            int mid = left + (right - left) / 2;
            if (canSpread(graph, K, mid)) {
                right = mid;
            } else {
                left = mid + 1;
            }
        }
        
        return left;
    }
    
    private boolean canSpread(int[][] graph, int K, int time) {
        // Implementation of spreading logic
    }
}

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