Max Area of Island
Difficulty: Medium
Category: DSA
Topics: Array, Depth-First Search, Breadth-First Search, Union Find, Matrix
Asked at: Amazon, Bloomberg, DoorDash, eBay, Facebook, Google, LinkedIn, Microsoft, Oracle, Uber
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`.
**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
**Explanation:** The answer is not 11, because the island must be connected 4-directionally.
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**Example 2:**
**Input:** grid = [[0,0,0,0,0,0,0,0]]
**Output:** 0
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**Constraints:**
- `m == grid.length`
- `n == grid[i].length`
- `1 <= m, n <= 50`
- `grid[i][j]` is either `0` or `1`.