Class Solution


  • public class Solution
    extends Object
    1728 - Cat and Mouse II.

    Hard

    A game is played by a cat and a mouse named Cat and Mouse.

    The environment is represented by a grid of size rows x cols, where each element is a wall, floor, player (Cat, Mouse), or food.

    • Players are represented by the characters 'C'(Cat),'M'(Mouse).
    • Floors are represented by the character '.' and can be walked on.
    • Walls are represented by the character '#' and cannot be walked on.
    • Food is represented by the character 'F' and can be walked on.
    • There is only one of each character 'C', 'M', and 'F' in grid.

    Mouse and Cat play according to the following rules:

    • Mouse moves first , then they take turns to move.
    • During each turn, Cat and Mouse can jump in one of the four directions (left, right, up, down). They cannot jump over the wall nor outside of the grid.
    • catJump, mouseJump are the maximum lengths Cat and Mouse can jump at a time, respectively. Cat and Mouse can jump less than the maximum length.
    • Staying in the same position is allowed.
    • Mouse can jump over Cat.

    The game can end in 4 ways:

    • If Cat occupies the same position as Mouse, Cat wins.
    • If Cat reaches the food first, Cat wins.
    • If Mouse reaches the food first, Mouse wins.
    • If Mouse cannot get to the food within 1000 turns, Cat wins.

    Given a rows x cols matrix grid and two integers catJump and mouseJump, return true if Mouse can win the game if both Cat and Mouse play optimally, otherwise return false.

    Example 1:

    Input: grid = [“####F”,“#C…”,“M….”], catJump = 1, mouseJump = 2

    Output: true

    Explanation: Cat cannot catch Mouse on its turn nor can it get the food before Mouse.

    Example 2:

    Input: grid = [“M.C…F”], catJump = 1, mouseJump = 4

    Output: true

    Example 3:

    Input: grid = [“M.C…F”], catJump = 1, mouseJump = 3

    Output: false

    Constraints:

    • rows == grid.length
    • cols = grid[i].length
    • 1 <= rows, cols <= 8
    • grid[i][j] consist only of characters 'C', 'M', 'F', '.', and '#'.
    • There is only one of each character 'C', 'M', and 'F' in grid.
    • 1 <= catJump, mouseJump <= 8
    • Constructor Detail

      • Solution

        public Solution()
    • Method Detail

      • canMouseWin

        public boolean canMouseWin​(String[] grid,
                                   int catJump,
                                   int mouseJump)