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Projection Area of 3D Shapes
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Projection Area of 3D Shapes
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Projection Area of 3D Shapes
You are given an n x n grid where we place some 1 x 1 x 1 cubes that are axis-aligned with the x, y, and z axes.
Each value v = grid[i][j] represents a tower of v cubes placed on top of the cell (i, j).
We view the projection of these cubes onto the xy, yz, and zx planes.
A projection is like a shadow, that maps our 3-dimensional figure to a 2-dimensional plane. We are viewing the "shadow" when looking at the cubes from the top, the front, and the side.
Return the total area of all three projections.
Example 1:
Input: grid = [[1,2],[3,4]]
Output: 17
Explanation: Here are the three projections ("shadows") of the shape made with each axis-aligned plane.
Example 2:
Input: grid = [[2]]
Output: 5
Example 3:
Input: grid = [[1,0],[0,2]]
Output: 8
class Solution {
public int projectionArea(int[][] grid) {
int n=grid.length;
int ans=0;
for(int i=0;i<n;++i)
{
int best_row=0;
int best_col=0;
for(int j=0;j<n;++j)
{
if(grid[i][j]>0)
{
ans++;
}
best_row=Math.max(best_row,grid[i][j]);
best_col=Math.max(best_col,grid[j][i]);
}
ans=ans+best_row+best_col;
}
return ans;
}
}