695:岛屿的最大面积

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huangge1199@hotmail.com 2021-07-12 23:40:49 +08:00
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//给定一个包含了一些 0 1 的非空二维数组 grid
//
// 一个 岛屿 是由一些相邻的 1 (代表土地) 构成的组合这里的相邻要求两个 1 必须在水平或者竖直方向上相邻你可以假设 grid 的四个边缘都被
//0代表水包围着
//
// 找到给定的二维数组中最大的岛屿面积(如果没有岛屿则返回面积为 0 )
//
//
//
// 示例 1:
//
// [[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]]
//
//
// 对于上面这个给定矩阵应返回 6注意答案不应该是 11 因为岛屿只能包含水平或垂直的四个方向的 1
//
// 示例 2:
//
// [[0,0,0,0,0,0,0,0]]
//
// 对于上面这个给定的矩阵, 返回 0
//
//
//
// 注意: 给定的矩阵grid 的长度和宽度都不超过 50
// Related Topics 深度优先搜索 广度优先搜索 并查集 数组 矩阵
// 👍 505 👎 0
package leetcode.editor.cn;
//695:岛屿的最大面积
class MaxAreaOfIsland {
public static void main(String[] args) {
//测试代码
Solution solution = new MaxAreaOfIsland().new Solution();
}
//力扣代码
//leetcode submit region begin(Prohibit modification and deletion)
class Solution {
public int maxAreaOfIsland(int[][] grid) {
int max = 0;
for (int i = 0; i < grid.length; i++) {
for (int j = 0; j < grid[0].length; j++) {
if (grid[i][j] == 1) {
max = Math.max(max, dfs(grid, i, j));
}
}
}
return max;
}
private int dfs(int[][] grid, int x, int y) {
if (x < 0 || x >= grid.length || y < 0 || y >= grid[0].length || grid[x][y] == 0) {
return 0;
}
grid[x][y]=0;
int count = 1;
count += dfs(grid, x - 1, y);
count += dfs(grid, x + 1, y);
count += dfs(grid, x, y - 1);
count += dfs(grid, x, y + 1);
return count;
}
}
//leetcode submit region end(Prohibit modification and deletion)
}

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<p>给定一个包含了一些 <code>0</code><code>1</code> 的非空二维数组&nbsp;<code>grid</code></p>
<p>一个&nbsp;<strong>岛屿</strong>&nbsp;是由一些相邻的&nbsp;<code>1</code>&nbsp;(代表土地) 构成的组合,这里的「相邻」要求两个 <code>1</code> 必须在水平或者竖直方向上相邻。你可以假设&nbsp;<code>grid</code> 的四个边缘都被 <code>0</code>(代表水)包围着。</p>
<p>找到给定的二维数组中最大的岛屿面积。(如果没有岛屿,则返回面积为 <code>0</code> 。)</p>
<p>&nbsp;</p>
<p><strong>示例 1:</strong></p>
<pre>[[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,<strong>1</strong>,0,<strong>1</strong>,0,0],
[0,1,0,0,1,1,0,0,<strong>1</strong>,<strong>1</strong>,<strong>1</strong>,0,0],
[0,0,0,0,0,0,0,0,0,0,<strong>1</strong>,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]]
</pre>
<p>对于上面这个给定矩阵应返回&nbsp;<code>6</code>。注意答案不应该是 <code>11</code> ,因为岛屿只能包含水平或垂直的四个方向的 <code>1</code></p>
<p><strong>示例 2:</strong></p>
<pre>[[0,0,0,0,0,0,0,0]]</pre>
<p>对于上面这个给定的矩阵, 返回&nbsp;<code>0</code></p>
<p>&nbsp;</p>
<p><strong>注意:&nbsp;</strong>给定的矩阵<code>grid</code>&nbsp;的长度和宽度都不超过 50。</p>
<div><div>Related Topics</div><div><li>深度优先搜索</li><li>广度优先搜索</li><li>并查集</li><li>数组</li><li>矩阵</li></div></div>\n<div><li>👍 505</li><li>👎 0</li></div>