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[10/30] 1293. Shortest Path in a Grid with Obstacles Elimination

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작성일 2022.10.30 13:04

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1293. Shortest Path in a Grid with Obstacles Elimination

Hard

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You are given an m x n integer matrix grid where each cell is either 0 (empty) or 1 (obstacle). You can move up, down, left, or right from and to an empty cell in one step.

Return the minimum number of steps to walk from the upper left corner (0, 0) to the lower right corner (m - 1, n - 1) given that you can eliminate at most k obstacles. If it is not possible to find such walk return -1.

Example 1:

Input: grid = [[0,0,0],[1,1,0],[0,0,0],[0,1,1],[0,0,0]], k = 1
Output: 6
Explanation: 
The shortest path without eliminating any obstacle is 10.
The shortest path with one obstacle elimination at position (3,2) is 6. Such path is (0,0) -> (0,1) -> (0,2) -> (1,2) -> (2,2) -> (3,2) -> (4,2).

Example 2:

Input: grid = [[0,1,1],[1,1,1],[1,0,0]], k = 1
Output: -1
Explanation: We need to eliminate at least two obstacles to find such a walk.

Constraints:

m == grid.length
n == grid[i].length
1 <= m, n <= 40
1 <= k <= m * n
grid[i][j] is either 0 or 1.
grid[0][0] == grid[m - 1][n - 1] == 0

Accepted

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Submissions

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링크

https://leetcode.com/problems/shortest-path-in-a-grid-with-obstacles-elimination/ 1084 회 연결

익명
작성일 2022.10.30 13:06

from collections import deque
class Solution:
    def shortestPath(self, grid: List[List[int]], k: int) -> int:
        ROW, COL = len(grid), len(grid[0])
        
        queue = deque([(0,0,k,0)])
        visited = set((0,0,k))
        
        directions = [(0,1),(1,0), (0,-1),(-1,0)]
        
        while queue:
            r, c, curr_k, steps = queue.popleft()
            
            if (r,c) == (ROW-1, COL-1): return steps
            
            
            for rdir, cdir in directions:
                nr, nc = r+rdir, c+cdir
                
                if 0<=nr<ROW and 0<=nc<COL:
                    new_k = curr_k - grid[nr][nc]
                    if new_k >=0 and (nr,nc,new_k) not in visited:
                        visited.add((nr,nc,new_k))
                        queue.append((nr,nc,new_k,steps+1))
                        
            
        return -1

Runtime: 1968 ms, faster than 20.02% of Python3 online submissions for Shortest Path in a Grid with Obstacles Elimination.
Memory Usage: 22.3 MB, less than 17.89% of Python3 online submissions for Shortest Path in a Grid with Obstacles Elimination.
[code=Python 3]from collections import deque
class Solution:
    def shortestPath(self, grid: List[List[int]], k: int) -> int:
        ROW, COL = len(grid), len(grid[0])
        
        queue = deque([(0,0,k,0)])
        visited = set((0,0,k))
        
        directions = [(0,1),(1,0), (0,-1),(-1,0)]
        
        while queue:
            r, c, curr_k, steps = queue.popleft()
            
            if (r,c) == (ROW-1, COL-1): return steps
            
            
            for rdir, cdir in directions:
                nr, nc = r+rdir, c+cdir
                
                if 0<=nr<ROW and 0<=nc<COL:
                    new_k = curr_k - grid[nr][nc]
                    if new_k >=0 and (nr,nc,new_k) not in visited:
                        visited.add((nr,nc,new_k))
                        queue.append((nr,nc,new_k,steps+1))
                        
            
        return -1[/code]