Class Solution
java.lang.Object
g1701_1800.s1728_cat_and_mouse_ii.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`
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Constructor Summary
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Method Summary
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Constructor Details
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Solution
public Solution()
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Method Details
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canMouseWin
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