How to Solve Projection Area of 3 D Shapes Problem
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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...
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Understanding the Projection Area of 3 D Shapes Problem
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Problem Statement
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.
Projection Area of 3D Shapes
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Examples
grid = [[1,2],[3,4]]
17
Here are the three projections ("shadows") of the shape made with each axis-aligned plane.
grid = [[2]]
5
grid = [[1,0],[0,2]]
8
Constraints
n == grid.length == grid[i].length
1 <= n <= 50
0 <= grid[i][j] <= 50
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