LeetCode 883: Projection Area of 3D Shapes Solution
Master LeetCode problem 883 (Projection Area of 3D Shapes), a easy 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 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.
:
Solution Code
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;
}
}Try It Yourself
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