How to Solve K-th Smallest Prime Fraction Problem
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K-th Smallest Prime Fraction
You are given a sorted integer array arr containing 1 and prime numbers, where all the integers of arr are unique. You are also given an integer k. For every i and j where 0 <= i < j < arr.length, we ...
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Understanding the K-th Smallest Prime Fraction Problem
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Problem Statement
You are given a sorted integer array arr containing 1 and prime numbers, where all the integers of arr are unique. You are also given an integer k. For every i and j where 0 <= i < j < arr.length, we consider the fraction arr[i] / arr[j]. Return the kth smallest fraction considered. Return your answer as an array of integers of size 2, where answer[0] == arr[i] and answer[1] == arr[j].
K-th Smallest Prime Fraction
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Examples
arr = [1,2,3,5], k = 3[2,5]The fractions to be considered in sorted order are: 1/5, 1/3, 2/5, 1/2, 3/5, and 2/3. The third fraction is 2/5.
arr = [1,7], k = 1[1,7]Constraints
2 <= arr.length <= 10001 <= arr[i] <= 3 * 104arr[0] == 1arr[i] is a prime number for i > 0.All the numbers of arr are unique and sorted in strictly increasing order.1 <= k <= arr.length * (arr.length - 1) / 2Follow up: Can you solve the problem with better than O(n2) complexity?How Interview Coder Helps with Leetcode Problems
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