Tags: "leetcode", access_time 2-min read

K Diff Pairs in an Array

Created: March 5, 2020 by [lek-tin]

Last updated: March 5, 2020

Given an array of integers and an integer k, you need to find the number of unique k-diff pairs in the array. Here a k-diff pair is defined as an integer pair (i, j), where i and j are both numbers in the array and their absolute difference is k.

Example 1

Input: [3, 1, 4, 1, 5], k = 2
Output: 2
Explanation: There are two 2-diff pairs in the array, (1, 3) and (3, 5).
Although we have two 1s in the input, we should only return the number of unique pairs.

Example 2

Input:[1, 2, 3, 4, 5], k = 1
Output: 4
Explanation: There are four 1-diff pairs in the array, (1, 2), (2, 3), (3, 4) and (4, 5).

Example 3

Input: [1, 3, 1, 5, 4], k = 0
Output: 1
Explanation: There is one 0-diff pair in the array, (1, 1).

Note

1. The pairs (i, j) and (j, i) count as the same pair.
2. The length of the array won’t exceed 10,000.
3. All the integers in the given input belong to the range: [-1e7, 1e7].

Solution (hashmap)

Time: O(n)
Space: O(n)

class Solution:
    def findPairs(self, nums: List[int], k: int) -> int:
        result = {}
        if k < 0:
            return 0
        elif k == 0:
            count = 0
            for num in nums:
                try:
                    result[num] += 1
                except:
                    result[num] = 1
                if result[num] == 2:
                    count += 1
            return count
        else:
            lookup = set(nums)

            for num in lookup:
                # `(i, j)` and `(j, i)` count as one unique pair
                if num-k in lookup:
                    result[num-k] = num
                if num+k in lookup:
                    result[num] = num+k

            return len(result.items())

simplified

class Solution:
    def findPairs(self, nums: List[int], k: int) -> int:
        if k < 0: return 0
        result, lookup = set(), set()
        for num in nums:
            if num-k in lookup:
                result.add(num-k)
            if num+k in lookup:
                result.add(num)
            lookup.add(num)
        return len(result)