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| 1 | +# time complexity: O(m*n) |
| 2 | +# space complexity: O(m*n) |
| 3 | +from collections import deque |
| 4 | +from typing import List |
| 5 | + |
| 6 | + |
| 7 | +class Solution: |
| 8 | + Guarded = 0 |
| 9 | + Unguarded = 1 |
| 10 | + Guard = 2 |
| 11 | + Wall = 3 |
| 12 | + |
| 13 | + def countUnguarded(self, m: int, n: int, guards: List[List[int]], walls: List[List[int]]) -> int: |
| 14 | + ROW = m |
| 15 | + COL = n |
| 16 | + board = [[self.Unguarded] * COL for _ in range(ROW)] |
| 17 | + queue = deque() |
| 18 | + for i, j in guards: |
| 19 | + board[i][j] = self.Guard |
| 20 | + queue.append((i, j)) |
| 21 | + for i, j in walls: |
| 22 | + board[i][j] = self.Wall |
| 23 | + while queue: |
| 24 | + currR, currC = queue.popleft() |
| 25 | + |
| 26 | + for r in range(currR - 1, -1, -1): |
| 27 | + if board[r][currC] == self.Wall or board[r][currC] == self.Guard: |
| 28 | + break |
| 29 | + board[r][currC] = self.Guarded |
| 30 | + |
| 31 | + for r in range(currR + 1, ROW): |
| 32 | + if board[r][currC] == self.Wall or board[r][currC] == self.Guard: |
| 33 | + break |
| 34 | + board[r][currC] = self.Guarded |
| 35 | + |
| 36 | + for c in range(currC - 1, -1, -1): |
| 37 | + if board[currR][c] == self.Wall or board[currR][c] == self.Guard: |
| 38 | + break |
| 39 | + board[currR][c] = self.Guarded |
| 40 | + |
| 41 | + for c in range(currC + 1, COL): |
| 42 | + if board[currR][c] == self.Wall or board[currR][c] == self.Guard: |
| 43 | + break |
| 44 | + board[currR][c] = self.Guarded |
| 45 | + |
| 46 | + return sum([board[i].count(1) for i in range(ROW)]) |
| 47 | + |
| 48 | + |
| 49 | +m = 4 |
| 50 | +n = 6 |
| 51 | +guards = [[0, 0], [1, 1], [2, 3]] |
| 52 | +walls = [[0, 1], [2, 2], [1, 4]] |
| 53 | +print(Solution().countUnguarded(m, n, guards, walls)) |
| 54 | + |
| 55 | +m = 3 |
| 56 | +n = 3 |
| 57 | +guards = [[1, 1]] |
| 58 | +walls = [[0, 1], [1, 0], [2, 1], [1, 2]] |
| 59 | +print(Solution().countUnguarded(m, n, guards, walls)) |
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