Max Area of Island

arraydepth-first searchbreadth-first search

Problem Statement

You are given an m x n binary matrix grid . An island is a group of 1 's (representing land) connected 4-directionally (horizontal or vertical.) You may assume all four edges of the grid are surrounded by water.

The area of an island is the number of cells with a value 1 in the island.

Return the maximum area of an island in grid . If there is no island, return 0 .

Examples

Example 1

Input: grid = [[0,0,1,0,0,0,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,1,1,1,0,0,0],[0,1,1,0,1,0,0,0,0,0,0,0,0],[0,1,0,0,1,1,0,0,1,0,1,0,0],[0,1,0,0,1,1,0,0,1,1,1,0,0],[0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,1,1,0,0,0],[0,0,0,0,0,0,0,1,1,0,0,0,0]]
Output: 6
The answer is not 11, because the island must be connected 4-directionally.

Example 2

Input: grid = [[0,0,0,0,0,0,0,0]]
Output: 0

Constraints

m == grid.length

n == grid[i].length

1 <= m, n <= 50

grid[i][j] is either 0 or 1 .

🤔

Medium

Difficulty

Topic Info

ModuleDSA

CategoryArray

Sub-topicDepth-First Search