g0601_0700.s0695_max_area_of_island.Solution Maven / Gradle / Ivy
Go to download
Show more of this group Show more artifacts with this name
Show all versions of leetcode-in-java21 Show documentation
Show all versions of leetcode-in-java21 Show documentation
Java-based LeetCode algorithm problem solutions, regularly updated
package g0601_0700.s0695_max_area_of_island;
// #Medium #Array #Depth_First_Search #Breadth_First_Search #Matrix #Union_Find
// #Algorithm_I_Day_7_Breadth_First_Search_Depth_First_Search
// #Graph_Theory_I_Day_2_Matrix_Related_Problems
// #2022_03_22_Time_3_ms_(76.79%)_Space_47.1_MB_(55.25%)
/**
* 695 - Max Area of Island\.
*
* Medium
*
* 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:**
*
* ![](https://assets.leetcode.com/uploads/2021/05/01/maxarea1-grid.jpg)
*
* **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.
*
* **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`.
**/
public class Solution {
public int maxAreaOfIsland(int[][] grid) {
if (grid == null || grid.length == 0) {
return 0;
}
int m = grid.length;
int n = grid[0].length;
int max = 0;
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
if (grid[i][j] == 1) {
int area = dfs(grid, i, j, m, n, 0);
max = Math.max(area, max);
}
}
}
return max;
}
private int dfs(int[][] grid, int i, int j, int m, int n, int area) {
if (i < 0 || i >= m || j < 0 || j >= n || grid[i][j] == 0) {
return area;
}
grid[i][j] = 0;
area++;
area = dfs(grid, i + 1, j, m, n, area);
area = dfs(grid, i, j + 1, m, n, area);
area = dfs(grid, i - 1, j, m, n, area);
area = dfs(grid, i, j - 1, m, n, area);
return area;
}
}
© 2015 - 2025 Weber Informatics LLC | Privacy Policy