LeetCode 3021: Alice and Bob Playing Flower Game Solution

Master LeetCode problem 3021 (Alice and Bob Playing Flower Game), 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.

3021. Alice and Bob Playing Flower Game

Medium

Problem Explanation

Explanation

To solve this problem, we can iterate through all possible pairs of flowers in the clockwise and anti-clockwise directions and check if Alice can win the game based on those pairs. We can simulate the game for each pair and determine if Alice wins. If Alice wins, we increment the count of valid pairs. The simulation can be done by keeping track of the remaining flowers in each direction and the current player.

  • Time Complexity: O(n * m), where n and m are the range limits for the number of flowers in each direction.
  • Space Complexity: O(1)

Solution Code

class Solution {
    public int numValidFlowerPairs(int n, int m) {
        int count = 0;
        
        for (int x = 1; x <= n; x++) {
            for (int y = 1; y <= m; y++) {
                if (canAliceWin(x, y)) {
                    count++;
                }
            }
        }
        
        return count;
    }
    
    private boolean canAliceWin(int x, int y) {
        if (x == 1 && y == 1) {
            return false;
        }
        
        return (x % 2 == 1) && (y % 2 == 0);
    }
}

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