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719. Find K-th Smallest Pair Distance (Hard)

The distance of a pair of integers a and b is defined as the absolute difference between a and b.

Given an integer array nums and an integer k, return the kth smallest distance among all the pairs nums[i] and nums[j] where 0 <= i < j < nums.length.

 

Example 1:

Input: nums = [1,3,1], k = 1
Output: 0
Explanation: Here are all the pairs:
(1,3) -> 2
(1,1) -> 0
(3,1) -> 2
Then the 1st smallest distance pair is (1,1), and its distance is 0.

Example 2:

Input: nums = [1,1,1], k = 2
Output: 0

Example 3:

Input: nums = [1,6,1], k = 3
Output: 5

 

Constraints:

• n == nums.length
• 2 <= n <= 104
• 0 <= nums[i] <= 106
• 1 <= k <= n * (n - 1) / 2

Related Topics

[Array] [Two Pointers] [Binary Search] [Sorting]

Similar Questions

1. Find K Pairs with Smallest Sums (Medium)
2. Kth Smallest Element in a Sorted Matrix (Medium)
3. Find K Closest Elements (Medium)
4. Kth Smallest Number in Multiplication Table (Hard)
5. K-th Smallest Prime Fraction (Hard)

Hints

Hint 1

Binary search for the answer. How can you check how many pairs have distance <= X?