Package g1701_1800.s1728_cat_and_mouse_ii

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    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

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Boolean canMouseWin(Array<String> grid, Integer catJump, Integer mouseJump)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait