883. Projection Area of 3D Shapes

Explanation:

To calculate the total area of all three projections, we need to consider the areas projected onto the xy, yz, and zx planes separately.

Steps:

For the xy-plane projection, the area is the sum of the maximum height of each column in the grid.
For the yz-plane projection, the area is the sum of the maximum height of each row in the grid.
For the zx-plane projection, the area is the sum of all non-zero values in the grid.

Time Complexity:

The time complexity of this algorithm 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.

:

View Leetcode Problem

class Solution {
    public int projectionArea(int[][] grid) {
        int xy = 0, yz = 0, zx = 0;
        
        for (int i = 0; i < grid.length; i++) {
            int maxRow = 0, maxCol = 0;
            for (int j = 0; j < grid[i].length; j++) {
                if (grid[i][j] > 0) zx++;
                maxRow = Math.max(maxRow, grid[i][j]);
                maxCol = Math.max(maxCol, grid[j][i]);
            }
            xy += maxRow;
            yz += maxCol;
        }
        
        return xy + yz + zx;
    }
}

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