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Java-based LeetCode algorithm problem solutions, regularly updated
package g0501_0600.s0542_01_matrix;
// #Medium #Array #Dynamic_Programming #Breadth_First_Search #Matrix
// #Algorithm_I_Day_9_Breadth_First_Search_Depth_First_Search
// #Graph_Theory_I_Day_5_Matrix_Related_Problems
// #2022_08_02_Time_7_ms_(95.83%)_Space_46.4_MB_(86.74%)
import java.util.Arrays;
/**
* 542 - 01 Matrix\.
*
* Medium
*
* Given an `m x n` binary matrix `mat`, return _the distance of the nearest_ `0` _for each cell_.
*
* The distance between two adjacent cells is `1`.
*
* **Example 1:**
*
* ![](https://assets.leetcode.com/uploads/2021/04/24/01-1-grid.jpg)
*
* **Input:** mat = \[\[0,0,0],[0,1,0],[0,0,0]]
*
* **Output:** [[0,0,0],[0,1,0],[0,0,0]]
*
* **Example 2:**
*
* ![](https://assets.leetcode.com/uploads/2021/04/24/01-2-grid.jpg)
*
* **Input:** mat = \[\[0,0,0],[0,1,0],[1,1,1]]
*
* **Output:** [[0,0,0],[0,1,0],[1,2,1]]
*
* **Constraints:**
*
* * `m == mat.length`
* * `n == mat[i].length`
* * 1 <= m, n <= 104
* * 1 <= m * n <= 104
* * `mat[i][j]` is either `0` or `1`.
* * There is at least one `0` in `mat`.
**/
public class Solution {
public int[][] updateMatrix(int[][] mat) {
int[][] dist = new int[mat.length][mat[0].length];
for (int i = 0; i < mat.length; i++) {
Arrays.fill(dist[i], Integer.MAX_VALUE - 100000);
}
for (int i = 0; i < mat.length; i++) {
for (int j = 0; j < mat[0].length; j++) {
if (mat[i][j] == 0) {
dist[i][j] = 0;
} else {
if (i > 0) {
dist[i][j] = Math.min(dist[i][j], dist[i - 1][j] + 1);
}
if (j > 0) {
dist[i][j] = Math.min(dist[i][j], dist[i][j - 1] + 1);
}
}
}
}
for (int i = mat.length - 1; i >= 0; i--) {
for (int j = mat[0].length - 1; j >= 0; j--) {
if (i < mat.length - 1) {
dist[i][j] = Math.min(dist[i][j], dist[i + 1][j] + 1);
}
if (j < mat[0].length - 1) {
dist[i][j] = Math.min(dist[i][j], dist[i][j + 1] + 1);
}
}
}
return dist;
}
}
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