mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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190 lines
17 KiB
JSON
190 lines
17 KiB
JSON
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"title": "K-th Smallest Prime Fraction",
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"content": "<p>You are given a sorted integer array <code>arr</code> containing <code>1</code> and <strong>prime</strong> numbers, where all the integers of <code>arr</code> are unique. You are also given an integer <code>k</code>.</p>\n\n<p>For every <code>i</code> and <code>j</code> where <code>0 <= i < j < arr.length</code>, we consider the fraction <code>arr[i] / arr[j]</code>.</p>\n\n<p>Return <em>the</em> <code>k<sup>th</sup></code> <em>smallest fraction considered</em>. Return your answer as an array of integers of size <code>2</code>, where <code>answer[0] == arr[i]</code> and <code>answer[1] == arr[j]</code>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,2,3,5], k = 3\n<strong>Output:</strong> [2,5]\n<strong>Explanation:</strong> The fractions to be considered in sorted order are:\n1/5, 1/3, 2/5, 1/2, 3/5, and 2/3.\nThe third fraction is 2/5.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [1,7], k = 1\n<strong>Output:</strong> [1,7]\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 <= arr.length <= 1000</code></li>\n\t<li><code>1 <= arr[i] <= 3 * 10<sup>4</sup></code></li>\n\t<li><code>arr[0] == 1</code></li>\n\t<li><code>arr[i]</code> is a <strong>prime</strong> number for <code>i > 0</code>.</li>\n\t<li>All the numbers of <code>arr</code> are <strong>unique</strong> and sorted in <strong>strictly increasing</strong> order.</li>\n\t<li><code>1 <= k <= arr.length * (arr.length - 1) / 2</code></li>\n</ul>\n\n<p> </p>\n<strong>Follow up:</strong> Can you solve the problem with better than <code>O(n<sup>2</sup>)</code> complexity?",
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