码迷,mamicode.com
首页 > 编程语言 > 详细

[LeetCode&Python] Problem 883. Projection Area of 3D Shapes

时间:2018-09-24 13:39:58      阅读:167      评论:0      收藏:0      [点我收藏+]

标签:plane   wing   his   problem   div   etc   图片   python   represent   

On a N * N grid, we place some 1 * 1 * 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 grid cell (i, j).

Now 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. 

Here, 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: [[2]]
Output: 5

Example 2:

Input: [[1,2],[3,4]]
Output: 17
Explanation: 
Here are the three projections ("shadows") of the shape made with each axis-aligned plane.
技术分享图片

Example 3:

Input: [[1,0],[0,2]]
Output: 8

Example 4:

Input: [[1,1,1],[1,0,1],[1,1,1]]
Output: 14

Example 5:

Input: [[2,2,2],[2,1,2],[2,2,2]]
Output: 21

 

Note:

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

 

This problem is just like the problem 807. We just need to find the max element in each row and column and find the number of nonzero elements. Then the sum of them is the answer.

 

class Solution:
    def projectionArea(self, grid):
        """
        :type grid: List[List[int]]
        :rtype: int
        """
        
        
        rAf=sum([max(r) for r in grid])+sum([max(c) for c in zip(*grid)])
        
        m=len(grid)
        n=len(grid[0])
        
        num=0
        
        for r in grid:
            num+=r.count(0)
        
        return (m*n-num)+rAf

  

[LeetCode&Python] Problem 883. Projection Area of 3D Shapes

标签:plane   wing   his   problem   div   etc   图片   python   represent   

原文地址:https://www.cnblogs.com/chiyeung/p/9695249.html

(0)
(0)
   
举报
评论 一句话评论(0
登录后才能评论!
© 2014 mamicode.com 版权所有  联系我们:gaon5@hotmail.com
迷上了代码!