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:
Input: mat = [[0,0,0],[0,1,0],[0,0,0]] Output: [[0,0,0],[0,1,0],[0,0,0]]
Example 2:
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 either0
or1
.- There is at least one
0
inmat
.
class Solution:
def updateMatrix(self, matrix: List[List[int]]) -> List[List[int]]:
from collections import deque
visited = set()
q = deque()
ROW = len(matrix)
COL = len(matrix[0])
combinations = [
[-1,0],
[0,-1],
[0, 1],
[1, 0]
]
for i in range(ROW):
for j in range(COL):
if matrix[i][j] == 0:
q.append([i, j])
visited.add((i, j))
while q:
x, y = q.popleft()
for dirr in combinations:
newX, newY = x+ dirr[0], y+ dirr[1]
if newX < ROW and newX >=0 and newY < COL and newY >= 0 and (newX, newY) not in visited:
matrix[newX][newY] = matrix[x][y] + 1
q.append([newX, newY])
visited.add((newX, newY))
return matrix