D
DevExCode

LeetCode 2101: Detonate the Maximum Bombs Solution

Master LeetCode problem 2101 (Detonate the Maximum Bombs), a medium 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.

Problem Explanation

Explanation:

To solve this problem, we can iterate through each bomb and simulate the detonation process for each bomb. For each bomb, we calculate the number of bombs that will be detonated if that bomb is detonated. We keep track of the maximum number of bombs detonated by any single bomb and return that as the final answer.

Here is the step-by-step algorithm:

  1. Initialize a variable maxDetonated to 0.
  2. Iterate through each bomb in the input array.
  3. For each bomb, calculate the number of bombs that will be detonated if that bomb is detonated.
  4. Update maxDetonated if the number of detonated bombs for the current bomb is greater.
  5. Return maxDetonated as the final answer.

The time complexity of this algorithm is O(n^2) where n is the number of bombs since for each bomb, we potentially iterate through all other bombs. The space complexity is O(1) since we are not using any extra space.

Solution Code

class Solution {
    public int maxDetonatedBombs(int[][] bombs) {
        int maxDetonated = 0;
        
        for (int i = 0; i < bombs.length; i++) {
            int detonated = 1;
            
            for (int j = 0; j < bombs.length; j++) {
                if (j != i) {
                    int distance = (bombs[i][0] - bombs[j][0]) * (bombs[i][0] - bombs[j][0]) +
                                   (bombs[i][1] - bombs[j][1]) * (bombs[i][1] - bombs[j][1]);
                    int range = (bombs[i][2] + bombs[j][2]) * (bombs[i][2] + bombs[j][2]);
                    
                    if (distance <= range) {
                        detonated++;
                    }
                }
            }
            
            maxDetonated = Math.max(maxDetonated, detonated);
        }
        
        return maxDetonated;
    }
}

Try It Yourself

Loading code editor...

Related LeetCode Problems

Frequently Asked Questions

How to solve LeetCode 2101 (Detonate the Maximum Bombs)?

This page provides optimized solutions for LeetCode problem 2101 (Detonate the Maximum Bombs) in Java, C++, and Python, along with a detailed explanation and an interactive code editor to test your code.

What is the time complexity of LeetCode 2101 (Detonate the Maximum Bombs)?

The time complexity for LeetCode 2101 (Detonate the Maximum Bombs) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.

Can I run code for LeetCode 2101 on DevExCode?

Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 2101 in Java, C++, or Python.

Back to LeetCode Solutions