Package g1701_1800.s1728_cat_and_mouse_ii

Class Solution

java.lang.Object
g1701_1800.s1728_cat_and_mouse_ii.Solution
public class Solution extends java.lang.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 Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    boolean
    canMouseWin(java.lang.String[] grid, int catJump, int mouseJump)
     

    Methods inherited from class java.lang.Object

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

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • canMouseWin

      public boolean canMouseWin(java.lang.String[] grid, int catJump, int mouseJump)