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Java-based LeetCode algorithm problem solutions, regularly updated
package g1001_1100.s1020_number_of_enclaves;
// #Medium #Array #Depth_First_Search #Breadth_First_Search #Matrix #Union_Find
// #Graph_Theory_I_Day_3_Matrix_Related_Problems
// #2022_02_25_Time_6_ms_(68.24%)_Space_66.4_MB_(15.35%)
/**
* 1020 - Number of Enclaves\.
*
* Medium
*
* You are given an `m x n` binary matrix `grid`, where `0` represents a sea cell and `1` represents a land cell.
*
* A **move** consists of walking from one land cell to another adjacent ( **4-directionally** ) land cell or walking off the boundary of the `grid`.
*
* Return _the number of land cells in_ `grid` _for which we cannot walk off the boundary of the grid in any number of **moves**_.
*
* **Example 1:**
*
* ![](https://assets.leetcode.com/uploads/2021/02/18/enclaves1.jpg)
*
* **Input:** grid = \[\[0,0,0,0],[1,0,1,0],[0,1,1,0],[0,0,0,0]]
*
* **Output:** 3
*
* **Explanation:** There are three 1s that are enclosed by 0s, and one 1 that is not enclosed because its on the boundary.
*
* **Example 2:**
*
* ![](https://assets.leetcode.com/uploads/2021/02/18/enclaves2.jpg)
*
* **Input:** grid = \[\[0,1,1,0],[0,0,1,0],[0,0,1,0],[0,0,0,0]]
*
* **Output:** 0
*
* **Explanation:** All 1s are either on the boundary or can reach the boundary.
*
* **Constraints:**
*
* * `m == grid.length`
* * `n == grid[i].length`
* * `1 <= m, n <= 500`
* * `grid[i][j]` is either `0` or `1`.
**/
public class Solution {
private void walk(int[][] a, boolean[][] visited, int x, int y) {
if (x >= a.length || x < 0 || y >= a[0].length || y < 0) {
return;
}
if (visited[x][y]) {
return;
}
if (a[x][y] == 0) {
return;
}
visited[x][y] = true;
walk(a, visited, x - 1, y);
walk(a, visited, x, y - 1);
walk(a, visited, x, y + 1);
walk(a, visited, x + 1, y);
}
public int numEnclaves(int[][] a) {
int n = a.length;
int m = a[0].length;
boolean[][] visited = new boolean[n][m];
for (int i = 0; i < n; ++i) {
walk(a, visited, i, 0);
walk(a, visited, i, m - 1);
}
for (int j = 0; j < m; ++j) {
walk(a, visited, 0, j);
walk(a, visited, n - 1, j);
}
int unreachables = 0;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < m; ++j) {
if (a[i][j] == 1 && !visited[i][j]) {
++unreachables;
}
}
}
return unreachables;
}
}
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