1091.Shortest Path in Binary Matrix
My code
시간 복잡도 탈락. 이유는 탐색 시 queue에서 같은 거리 내의 블록을 한번에 꺼내지 않고 하나씩 꺼내어 봤기 때문
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from typing import List
from collections import deque
class Solution:
def shortestPathBinaryMatrix(self, grid: List[List[int]]) -> int:
if grid[0][0] != 0 or grid[-1][-1] != 0:
return -1
queue = deque()
queue.append(((0,0),1))
dx = [-1, 0, 1, -1, 1, -1, 0, 1]
dy = [-1, -1, -1, 0, 0, 1, 1, 1]
n = len(grid)
visited = {(0,0)}
while queue:
(cur_x,cur_y),dist = queue.popleft()
if cur_x == n-1 and cur_y == n-1:
return dist
for i in range(8):
next_x = cur_x + dx[i]
next_y = cur_y + dy[i]
if next_x in range(n) and next_y in range(n) and grid[next_y][next_x] == 0 and (next_y,next_x) not in visited:
queue.append(((next_x,next_y),dist + 1))
visited.add((next_x,next_y))
Answer
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class Solution:
def shortestPathBinaryMatrix(self, grid: List[List[int]]) -> int:
# check if source and target are not clear cells
if grid[0][0] != 0 or grid[-1][-1] != 0:
return -1
N = len(grid)
# offsets required for all 8 directions
offsets = [(-1, -1), (-1, 0), (-1, 1), (0, -1), (0, 1), (1, -1), (1, 0), (1, 1)]
q = deque()
q.append((0,0)) # starting point
visited = {(0, 0)}
# finds unvisited clear cells using 8 offsets
def get_neighbours(x,y):
for x_offset, y_offset in offsets:
new_row = x + x_offset
new_col = y + y_offset
if 0 <= new_row < N and 0 <= new_col < N and not grid[new_row][new_col] and (new_row, new_col) not in visited:
yield (new_row, new_col)
current_distance = 1 # start with one clear cell
# standard iterative BFS traversal
while q:
length = len(q)
# loop through all the cells at the same distance
for _ in range(length):
row, col = q.popleft()
if row == N-1 and col==N-1: # reached target
return current_distance
# loop though all valid neignbours
for p in get_neighbours(row, col):
visited.add(p)
q.append(p)
current_distance+=1 # update the level or distance from source
return -1