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leetcode-problemset/leetcode/originData/stamping-the-grid.json

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{
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"title": "Stamping the Grid",
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"content": "<p>You are given an <code>m x n</code> binary matrix <code>grid</code> where each cell is either <code>0</code> (empty) or <code>1</code> (occupied).</p>\n\n<p>You are then given stamps of size <code>stampHeight x stampWidth</code>. We want to fit the stamps such that they follow the given <strong>restrictions</strong> and <strong>requirements</strong>:</p>\n\n<ol>\n\t<li>Cover all the <strong>empty</strong> cells.</li>\n\t<li>Do not cover any of the <strong>occupied</strong> cells.</li>\n\t<li>We can put as <strong>many</strong> stamps as we want.</li>\n\t<li>Stamps can <strong>overlap</strong> with each other.</li>\n\t<li>Stamps are not allowed to be <strong>rotated</strong>.</li>\n\t<li>Stamps must stay completely <strong>inside</strong> the grid.</li>\n</ol>\n\n<p>Return <code>true</code> <em>if it is possible to fit the stamps while following the given restrictions and requirements. Otherwise, return</em> <code>false</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/03/ex1.png\" style=\"width: 180px; height: 237px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,0,0,0],[1,0,0,0],[1,0,0,0],[1,0,0,0],[1,0,0,0]], stampHeight = 4, stampWidth = 3\n<strong>Output:</strong> true\n<strong>Explanation:</strong> We have two overlapping stamps (labeled 1 and 2 in the image) that are able to cover all the empty cells.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/11/03/ex2.png\" style=\"width: 170px; height: 179px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1]], stampHeight = 2, stampWidth = 2 \n<strong>Output:</strong> false \n<strong>Explanation:</strong> There is no way to fit the stamps onto all the empty cells without the stamps going outside the grid.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[r].length</code></li>\n\t<li><code>1 &lt;= m, n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= m * n &lt;= 2 * 10<sup>5</sup></code></li>\n\t<li><code>grid[r][c]</code> is either <code>0</code> or <code>1</code>.</li>\n\t<li><code>1 &lt;= stampHeight, stampWidth &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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"code": "class Solution {\npublic:\n bool possibleToStamp(vector<vector<int>>& grid, int stampHeight, int stampWidth) {\n \n }\n};",
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"code": "class Solution(object):\n def possibleToStamp(self, grid, stampHeight, stampWidth):\n \"\"\"\n :type grid: List[List[int]]\n :type stampHeight: int\n :type stampWidth: int\n :rtype: bool\n \"\"\"\n ",
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"code": "public class Solution {\n public bool PossibleToStamp(int[][] grid, int stampHeight, int stampWidth) {\n \n }\n}",
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"code": "/**\n * @param {number[][]} grid\n * @param {number} stampHeight\n * @param {number} stampWidth\n * @return {boolean}\n */\nvar possibleToStamp = function(grid, stampHeight, stampWidth) {\n \n};",
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"code": "class Solution {\n\n /**\n * @param Integer[][] $grid\n * @param Integer $stampHeight\n * @param Integer $stampWidth\n * @return Boolean\n */\n function possibleToStamp($grid, $stampHeight, $stampWidth) {\n \n }\n}",
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"code": "class Solution {\n fun possibleToStamp(grid: Array<IntArray>, stampHeight: Int, stampWidth: Int): Boolean {\n \n }\n}",
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"lang": "Go",
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"code": "# @param {Integer[][]} grid\n# @param {Integer} stamp_height\n# @param {Integer} stamp_width\n# @return {Boolean}\ndef possible_to_stamp(grid, stamp_height, stamp_width)\n \nend",
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"lang": "Rust",
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"code": "impl Solution {\n pub fn possible_to_stamp(grid: Vec<Vec<i32>>, stamp_height: i32, stamp_width: i32) -> bool {\n \n }\n}",
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"lang": "Racket",
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"code": "(define/contract (possible-to-stamp grid stampHeight stampWidth)\n (-> (listof (listof exact-integer?)) exact-integer? exact-integer? boolean?)\n )",
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"lang": "Erlang",
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"code": "-spec possible_to_stamp(Grid :: [[integer()]], StampHeight :: integer(), StampWidth :: integer()) -> boolean().\npossible_to_stamp(Grid, StampHeight, StampWidth) ->\n .",
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"lang": "Elixir",
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"code": "defmodule Solution do\n @spec possible_to_stamp(grid :: [[integer]], stamp_height :: integer, stamp_width :: integer) :: boolean\n def possible_to_stamp(grid, stamp_height, stamp_width) do\n \n end\nend",
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"hints": [
"We can check if every empty cell is a part of a consecutive row of empty cells that has a width of at least stampWidth as well as a consecutive column of empty cells that has a height of at least stampHeight.",
"We can prove that this condition is sufficient and necessary to fit the stamps while following the given restrictions and requirements.",
"For each row, find every consecutive row of empty cells, and mark all the cells where the consecutive row is at least stampWidth wide. Do the same for the columns with stampHeight. Then, you can check if every cell is marked twice."
],
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