0883. Projection Area of 3D Shapes
https://leetcode.com/problems/projection-area-of-3d-shapes
Description
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
Example 4:
**Input:** grid = [[1,1,1],[1,0,1],[1,1,1]]
**Output:** 14
Example 5:
**Input:** grid = [[2,2,2],[2,1,2],[2,2,2]]
**Output:** 21
Constraints:
n == grid.length
n == grid[i].length
1 <= n <= 50
0 <= grid[i][j] <= 50
ac
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