ou are given row x col grid representing a map where grid[i][j] = 1 represents land and grid[i][j] = 0 represents water.
Grid cells are connected horizontally/vertically (not diagonally). The grid is completely surrounded by water, and there is exactly one island (i.e., one or more connected land cells).
The island doesn't have "lakes", meaning the water inside isn't connected to the water around the island. One cell is a square with side length 1. The grid is rectangular, width and height don't exceed 100. Determine the perimeter of the island.
Example 1:
Input: grid = [[0,1,0,0],[1,1,1,0],[0,1,0,0],[1,1,0,0]]
Output: 16
Explanation: The perimeter is the 16 yellow stripes in the image above.
Example 2:
Input: grid = [[1]]
Output: 4
Example 3:
Input: grid = [[1,0]]
Output: 4
Constraints:
row == grid.length
col == grid[i].length
1 <= row, col <= 100
grid[i][j] is 0 or 1.
public class Solution {
public int IslandPerimeter(int[][] grid) {
int islands = 0;
int neighbours = 0;
for(int i=0;i<grid.Length;i++){
for(int j=0;j<grid[0].Length;j++){
if(grid[i][j]==0){
continue;
}
islands++;
if(i<grid.Length-1){
if(grid[i+1][j]==1){
neighbours++;
}
}
if(j<grid[0].Length-1){
if(grid[i][j+1]==1){
neighbours++;
}
}
}
}
return islands*4 - neighbours*2;
}
}
Time Complexity: O(n)
Space Complexity: O(1)
loop over the matrix and count the number of islands;
if the current dot is an island, count if it has any right neighbours or down neighbours;
the result is islands * 4 - neighbours * 2