[LeetCode] 864. Shortest Path to Get All Keys 获得所有钥匙的最短路径

Posted 2022-04-29 grandyang

We are given a 2-dimensional?grid.?"."?is an empty cell,?"#"?is?a wall,?"@"?is the starting point, ("a",?"b", ...) are keys, and ("A",?"B", ...) are locks.

We start at the starting point, and one move consists of walking one space in one of the 4 cardinal directions.? We cannot walk outside the grid, or walk into a wall.? If we walk over a key, we pick it up.? We can‘t walk over a lock unless we have the corresponding key.

For some?1 <= K <= 6, there is exactly one lowercase and one uppercase letter of the first?Kletters of the English alphabet in the grid.? This means that there is exactly one key for each lock, and one lock for each key; and also that the letters used to represent the keys and locks were?chosen in the same order as the English alphabet.

Return the lowest number of moves to acquire all keys.? If?it‘s impossible, return?-1.

Example 1:

Input: ["@.a.#","###.#","b.A.B"]
Output: 8

Example 2:

Input: ["@..aA","..B#.","....b"]
Output: 6

Note:

1. 1 <= grid.length?<= 30
2. 1 <= grid[0].length?<= 30
3. grid[i][j]?contains only?‘.‘,?‘#‘,?‘@‘,?‘a‘-``‘f``‘?and?‘A‘-‘F‘
4. The number of keys is in?[1, 6].? Each key has a different letter and opens exactly one lock.

Github 同步地址:

https://github.com/grandyang/leetcode/issues/864

参考资料：

https://leetcode.com/problems/shortest-path-to-get-all-keys/

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