https://leetcode.com/problems/island-perimeter/
在一个N×N的矩阵中,N<100,1代表岛,0代表海,岛内没有海,求岛的周长
[[0,1,0,0],
[1,1,1,0],
[0,1,0,0],
[1,1,0,0]] Answer: 16
Explanation: The perimeter is the 16 yellow stripes in the image below:
由正方形组成的不规则图形的周长和正方形个数有什么关系?
这个就是这题的核心
发散一下平移的思想,多一个右邻居,多两条边,多一个下邻居,多两条边(当然你也可以统计左上)
公式就是“周长=正方形数量 * 4 - 邻居数量 * 2”
class Solution(object):
def islandPerimeter(self, grid):
island, neighbor = 0, 0
for i in xrange(0, len(grid)):
for j in xrange(0, len(grid[i])):
if grid[i][j] == 1:
island += 1
if i < len(grid) - 1 and grid[i + 1][j] == 1: # down neighbour
neighbor += 1
if j < len(grid[i]) - 1 and grid[i][j + 1] == 1: # right neighbour
neighbor += 1
return island * 4 - neighbor * 2