Package g0801_0900.s0883_projection_area_of_3d_shapes

Class Solution

java.lang.Object
g0801_0900.s0883_projection_area_of_3d_shapes.Solution
public class Solution extends Object
883 - Projection Area of 3D Shapes.

Easy

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

Constraints:

  • n == grid.length == grid[i].length
  • 1 <= n <= 50
  • 0 <= grid[i][j] <= 50

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • projectionArea

      public int projectionArea(int[][] grid)