cat-and-mouse-ii.json

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            "title": "Cat and Mouse II",
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            "content": "<p>A game is played by a cat and a mouse named Cat and Mouse.</p>\n\n<p>The environment is represented by a <code>grid</code> of size <code>rows x cols</code>, where each element is a wall, floor, player (Cat, Mouse), or food.</p>\n\n<ul>\n\t<li>Players are represented by the characters <code>&#39;C&#39;</code>(Cat)<code>,&#39;M&#39;</code>(Mouse).</li>\n\t<li>Floors are represented by the character <code>&#39;.&#39;</code> and can be walked on.</li>\n\t<li>Walls are represented by the character <code>&#39;#&#39;</code> and cannot be walked on.</li>\n\t<li>Food is represented by the character <code>&#39;F&#39;</code> and can be walked on.</li>\n\t<li>There is only one of each character <code>&#39;C&#39;</code>, <code>&#39;M&#39;</code>, and <code>&#39;F&#39;</code> in <code>grid</code>.</li>\n</ul>\n\n<p>Mouse and Cat play according to the following rules:</p>\n\n<ul>\n\t<li>Mouse <strong>moves first</strong>, then they take turns to move.</li>\n\t<li>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 <code>grid</code>.</li>\n\t<li><code>catJump, mouseJump</code> are the maximum lengths Cat and Mouse can jump at a time, respectively. Cat and Mouse can jump less than the maximum length.</li>\n\t<li>Staying in the same position is allowed.</li>\n\t<li>Mouse can jump over Cat.</li>\n</ul>\n\n<p>The game can end in 4 ways:</p>\n\n<ul>\n\t<li>If Cat occupies the same position as Mouse, Cat wins.</li>\n\t<li>If Cat reaches the food first, Cat wins.</li>\n\t<li>If Mouse reaches the food first, Mouse wins.</li>\n\t<li>If Mouse cannot get to the food within 1000 turns, Cat wins.</li>\n</ul>\n\n<p>Given a <code>rows x cols</code> matrix <code>grid</code> and two integers <code>catJump</code> and <code>mouseJump</code>, return <code>true</code><em> if Mouse can win the game if both Cat and Mouse play optimally, otherwise return </em><code>false</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/12/sample_111_1955.png\" style=\"width: 580px; height: 239px;\" />\n<pre>\n<strong>Input:</strong> grid = [&quot;####F&quot;,&quot;#C...&quot;,&quot;M....&quot;], catJump = 1, mouseJump = 2\n<strong>Output:</strong> true\n<strong>Explanation:</strong> Cat cannot catch Mouse on its turn nor can it get the food before Mouse.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/09/12/sample_2_1955.png\" style=\"width: 580px; height: 175px;\" />\n<pre>\n<strong>Input:</strong> grid = [&quot;M.C...F&quot;], catJump = 1, mouseJump = 4\n<strong>Output:</strong> true\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> grid = [&quot;M.C...F&quot;], catJump = 1, mouseJump = 3\n<strong>Output:</strong> false\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>rows == grid.length</code></li>\n\t<li><code>cols = grid[i].length</code></li>\n\t<li><code>1 &lt;= rows, cols &lt;= 8</code></li>\n\t<li><code>grid[i][j]</code> consist only of characters <code>&#39;C&#39;</code>, <code>&#39;M&#39;</code>, <code>&#39;F&#39;</code>, <code>&#39;.&#39;</code>, and <code>&#39;#&#39;</code>.</li>\n\t<li>There is only one of each character <code>&#39;C&#39;</code>, <code>&#39;M&#39;</code>, and <code>&#39;F&#39;</code> in <code>grid</code>.</li>\n\t<li><code>1 &lt;= catJump, mouseJump &lt;= 8</code></li>\n</ul>\n",
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                    "code": "class Solution(object):\n    def canMouseWin(self, grid, catJump, mouseJump):\n        \"\"\"\n        :type grid: List[str]\n        :type catJump: int\n        :type mouseJump: int\n        :rtype: bool\n        \"\"\"\n        ",
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                    "code": "/**\n * @param {string[]} grid\n * @param {number} catJump\n * @param {number} mouseJump\n * @return {boolean}\n */\nvar canMouseWin = function(grid, catJump, mouseJump) {\n    \n};",
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                    "code": "# @param {String[]} grid\n# @param {Integer} cat_jump\n# @param {Integer} mouse_jump\n# @return {Boolean}\ndef can_mouse_win(grid, cat_jump, mouse_jump)\n    \nend",
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                    "code": "impl Solution {\n    pub fn can_mouse_win(grid: Vec<String>, cat_jump: i32, mouse_jump: i32) -> bool {\n        \n    }\n}",
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                "Try working backward: consider all trivial states you know to be winning or losing, and work backward to determine which other states can be labeled as winning or losing."
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