Problem
You are given an m x n
grid
where each cell can have one of three values:
0
representing an empty cell,1
representing a fresh orange, or2
representing a rotten orange.
Every minute, any fresh orange that is 4-directionally adjacent to a rotten orange becomes rotten.
Return the minimum number of minutes that must elapse until no cell has a fresh orange. If this is impossible, return -1
.
Example 1:
Input: grid = [[2,1,1],[1,1,0],[0,1,1]]
Output: 4
Example 2:
Input: grid = [[2,1,1],[0,1,1],[1,0,1]]
Output: -1
Explanation: The orange in the bottom left corner (row 2, column 0) is never rotten, because rotting only happens 4-directionally.
Example 3:
Input: grid = [[0,2]]
Output: 0
Explanation: Since there are already no fresh oranges at minute 0, the answer is just 0.
Constraints:
m == grid.length
n == grid[i].length
1 <= m, n <= 10
grid[i][j]
is0
,1
, or2
.
Solution (Java)
class Solution {
public int orangesRotting(int[][] grid) {
Queue<int[]> queue = new LinkedList<>();
int row = grid.length;
int col = grid[0].length;
int countActive = 0;
for (int i = 0; i < row; i++) {
for (int j = 0; j < col; j++) {
if (grid[i][j] == 2) {
queue.add(new int[] {i, j});
}
if (grid[i][j] != 0) {
countActive++;
}
}
}
if (countActive == 0) {
return 0;
}
int countCurrent = 0;
int count = 0;
int[] dx = {0, 0, 1, -1};
int[] dy = {1, -1, 0, 0};
while (!queue.isEmpty()) {
int size = queue.size();
count += size;
for (int i = 0; i < size; i++) {
int[] arr = queue.poll();
for (int j = 0; j < 4; j++) {
int x = arr[0] + dx[j];
int y = arr[1] + dy[j];
if (x < 0 || y < 0 || x >= row || y >= col || grid[x][y] != 1) {
continue;
}
grid[x][y] = 2;
queue.add(new int[] {x, y});
}
}
if (!queue.isEmpty()) {
countCurrent++;
}
}
return countActive == count ? countCurrent : -1;
}
}
Solution (Javascript)
/**
* @param {number[][]} grid
* @return {number}
*/
var orangesRotting = function(grid) {
if (emptyOrchard(grid)) {
return 0;
}
var stopwatch = 0;
var cycleOranges = (grid) => {
var checked = [];
for (var i = 0; i < grid.length; i++) {
for (var j = 0; j < grid[i].length; j++) {
if (grid[i][j] === 2 && !isDuplicate(checked, [i, j])) {
var adjacent = adjacencies(grid, i, j);
if (adjacent) {
adjacent.forEach(freshOrange => {
grid[freshOrange[0]][freshOrange[1]] = 2;
checked.push([freshOrange[0], freshOrange[1]]);
});
}
}
}
}
stopwatch++;
return adjacenciesRemain(grid) ? cycleOranges(grid) : null;
}
cycleOranges(grid);
return stopwatch > 0 && emptyOrchard(grid) ? stopwatch : -1;
};
// checks the grid for any spoiled oranges with fresh adjacencies
var adjacenciesRemain = (grid) => {
for (var i = 0; i < grid.length; i++) {
for (var j = 0; j < grid[i].length; j++) {
if (grid[i][j] === 2 && adjacencies(grid, i, j)) {
return true;
}
}
}
return false;
}
// checks coordinates for all available adjacencies
var adjacencies = (tree, i, j) => {
var adjacent = [];
var right = tree[i][j + 1];
var left = tree[i][j - 1];
var up = tree[i - 1] === undefined ? undefined : tree[i - 1][j];
var down = tree[i + 1] === undefined ? undefined : tree[i + 1][j];
right === 1 ? adjacent.push([i, j + 1]) : null;
up === 1 ? adjacent.push([i - 1, j]) : null;
left === 1 ? adjacent.push([i, j - 1]) : null;
down === 1 ? adjacent.push([i + 1, j]) : null;
return adjacent.length > 0 ? adjacent : false;
}
// checks for authenticity of incoming array
var isDuplicate = (arr1, arr2) => {
for (var i = 0; i < arr1.length; i++) {
if (JSON.stringify(arr1[i]) === JSON.stringify(arr2)) {
return true;
}
}
return false;
}
// checks grid for the condition of having all rotten oranges or no oranges at all
var emptyOrchard = (grid) => {
var rotten = false;
var fresh = false;
var absent = false;
for (var i = 0; i < grid.length; i++) {
for (var j = 0; j < grid[i].length; j++) {
if (grid[i][j] === 2) {
rotten = true;
} else if (grid[i][j] === 1) {
fresh = true;
} else if (grid[i][j] === 0) {
absent = true;
}
}
}
return (rotten && !fresh) || (absent && !rotten & !fresh);
}
Explain:
nope.
Complexity:
- Time complexity : O(n).
- Space complexity : O(n).