LeetCode 3071: Minimum Operations to Write the Letter Y on a Grid Solution

Master LeetCode problem 3071 (Minimum Operations to Write the Letter Y on a Grid), 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.

3071. Minimum Operations to Write the Letter Y on a Grid

Medium

Array Hash Table Matrix Counting

Problem Explanation

Explanation:

To solve this problem, we can iterate through each cell of the grid and try all possible values (0, 1, 2) for the cells that belong to the Letter Y. For each possible value assignment, we check if the conditions for the Y letter are satisfied. If they are satisfied, we count the number of operations needed to achieve this configuration and keep track of the minimum number of operations.

Algorithm:

Initialize a variable minOperations to store the minimum number of operations needed.
Iterate through each cell in the grid.
For each cell, try assigning values 0, 1, and 2 to the cells that belong to the Y configuration.
Check if the conditions for the Y letter are satisfied:
- All values at Y cells are equal.
- All values at non-Y cells are equal.
- Values at Y cells are different from non-Y cells.
If the conditions are met, calculate the number of operations needed and update minOperations if it is lower.
Return minOperations as the result.

Time Complexity:

The time complexity of this solution is O(n^2) where n is the size of the grid.

Space Complexity:

The space complexity is O(1) as we are not using any extra space proportional to the input size.

Solution Code

class Solution {
    public int minOperations(int[][] grid) {
        int n = grid.length;
        int minOperations = Integer.MAX_VALUE;
        
        for (int val1 = 0; val1 <= 2; val1++) {
            for (int val2 = 0; val2 <= 2; val2++) {
                if (val1 == val2) continue;
                
                int operations = 0;
                for (int i = 0; i < n; i++) {
                    for (int j = 0; j < n; j++) {
                        int target = grid[(n - 1) / 2][(n - 1) / 2] == val1 ? val1 : val2;
                        if ((i == j || i + j == n - 1 || i >= (n - 1) / 2) && grid[i][j] != target) {
                            operations++;
                        } else if ((i != j && i + j != n - 1 && i < (n - 1) / 2) && grid[i][j] == target) {
                            operations++;
                        }
                    }
                }
                
                minOperations = Math.min(minOperations, operations);
            }
        }
        
        return minOperations;
    }
}

Try It Yourself

Loading code editor...

Frequently Asked Questions

How to solve LeetCode 3071 (Minimum Operations to Write the Letter Y on a Grid)?

This page provides optimized solutions for LeetCode problem 3071 (Minimum Operations to Write the Letter Y on a Grid) 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 3071 (Minimum Operations to Write the Letter Y on a Grid)?

The time complexity for LeetCode 3071 (Minimum Operations to Write the Letter Y on a Grid) varies by solution. Check the detailed explanation section for specific complexities in Java, C++, and Python implementations.

Can I run code for LeetCode 3071 on DevExCode?

Yes, DevExCode provides an interactive code editor where you can write, test, and run your code for LeetCode 3071 in Java, C++, or Python.

Back to LeetCode Solutions