mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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145 lines
15 KiB
JSON
145 lines
15 KiB
JSON
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"questionId": "1843",
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"boundTopicId": null,
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"title": "Number Of Rectangles That Can Form The Largest Square",
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"content": "<p>You are given an array <code>rectangles</code> where <code>rectangles[i] = [l<sub>i</sub>, w<sub>i</sub>]</code> represents the <code>i<sup>th</sup></code> rectangle of length <code>l<sub>i</sub></code> and width <code>w<sub>i</sub></code>.</p>\r\n\r\n<p>You can cut the <code>i<sup>th</sup></code> rectangle to form a square with a side length of <code>k</code> if both <code>k <= l<sub>i</sub></code> and <code>k <= w<sub>i</sub></code>. For example, if you have a rectangle <code>[4,6]</code>, you can cut it to get a square with a side length of at most <code>4</code>.</p>\r\n\r\n<p>Let <code>maxLen</code> be the side length of the <strong>largest</strong> square you can obtain from any of the given rectangles.</p>\r\n\r\n<p>Return <em>the <strong>number</strong> of rectangles that can make a square with a side length of </em><code>maxLen</code>.</p>\r\n\r\n<p> </p>\r\n<p><strong class=\"example\">Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> rectangles = [[5,8],[3,9],[5,12],[16,5]]\r\n<strong>Output:</strong> 3\r\n<strong>Explanation:</strong> The largest squares you can get from each rectangle are of lengths [5,3,5,5].\r\nThe largest possible square is of length 5, and you can get it out of 3 rectangles.\r\n</pre>\r\n\r\n<p><strong class=\"example\">Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> rectangles = [[2,3],[3,7],[4,3],[3,7]]\r\n<strong>Output:</strong> 3\r\n</pre>\r\n\r\n<p> </p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>1 <= rectangles.length <= 1000</code></li>\r\n\t<li><code>rectangles[i].length == 2</code></li>\r\n\t<li><code>1 <= l<sub>i</sub>, w<sub>i</sub> <= 10<sup>9</sup></code></li>\r\n\t<li><code>l<sub>i</sub> != w<sub>i</sub></code></li>\r\n</ul>",
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"difficulty": "Easy",
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"exampleTestcases": "[[5,8],[3,9],[5,12],[16,5]]\n[[2,3],[3,7],[4,3],[3,7]]",
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"categoryTitle": "Algorithms",
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"code": "class Solution {\n\n /**\n * @param Integer[][] $rectangles\n * @return Integer\n */\n function countGoodRectangles($rectangles) {\n \n }\n}",
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"code": "impl Solution {\n pub fn count_good_rectangles(rectangles: Vec<Vec<i32>>) -> i32 {\n \n }\n}",
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"hints": [
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"What is the length of the largest square the can be cut out of some rectangle? It'll be equal to min(rectangle.length, rectangle.width). Replace each rectangle with this value.",
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"Calculate maxSize by iterating over the given rectangles and maximizing the answer with their values denoted in the first hint.",
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"Then iterate again on the rectangles and calculate the number whose values = maxSize."
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],
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"sampleTestCase": "[[5,8],[3,9],[5,12],[16,5]]",
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