You 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.
Question
You 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.
Solution
This problem can be solved by iterating over the grid and for each land cell adding 4 (for each side of the square) to the perimeter and then subtracting 2 for each adjacent land cell (to the right and below, to avoid double counting). Here is a Python solution:
def islandPerimeter(grid):
if not grid:
return 0
perimeter = 0
for i in range(len(grid)):
for j in range(len(grid[0])):
if grid[i][j] == 1:
perimeter += 4
# Check right neighbor
if j < len(grid[0]) - 1 and grid[i][j + 1] == 1:
perimeter -= 2
# Check bottom neighbor
if i < len(grid) - 1 and grid[i +Similar Questions
Given an m x n 2D binary grid grid which represents a map of '1's (land) and '0's (water), return the number of islands.An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. You may assume all four edges of the grid are all surrounded by water.
Given a 2D grid consists of 0s (land) and 1s (water). An island is a maximal 4-directionally connected group of 0s and a closed island is an island totally (all left, top, right, bottom) surrounded by 1s.Return the number of closed islands.Input FormatThe First line contains two integers denoting the value of n and mThe Next N lines contains M integers denoting the elements of the matrix.Constraints1 <= grid.length, grid[0].length <= 1000 <= grid[i][j] <=1Output FormatPrint a integer which is the answer to the question.Sample Input 03 50 0 1 0 00 1 0 1 00 1 1 1 0Sample Output 01Sample Input 13 41 0 1 1 1 1 1 1 1 1 1 1 Sample Output 10
200. Number of IslandsMediumTopicsCompaniesGiven an m x n 2D binary grid grid which represents a map of '1's (land) and '0's (water), return the number of islands.An island is surrounded by water and is formed by connecting adjacent lands horizontally or vertically. You may assume all four edges of the grid are all surrounded by water.
You are given a 2D matrix grid of size m x n. You need to check if each cell grid[i][j] is:Equal to the cell below it, i.e. grid[i][j] == grid[i + 1][j] (if it exists).Different from the cell to its right, i.e. grid[i][j] != grid[i][j + 1] (if it exists).Return true if all the cells satisfy these conditions, otherwise, return false. Example 1:Input: grid = [[1,0,2],[1,0,2]]Output: trueExplanation:All the cells in the grid satisfy the conditions.Example 2:Input: grid = [[1,1,1],[0,0,0]]Output: falseExplanation:All cells in the first row are equal.Example 3:Input: grid = [[1],[2],[3]]Output: falseExplanation:Cells in the first column have different values. Constraints:1 <= n, m <= 100 <= grid[i][j] <= 9
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