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This approach uses a HashMap to track the frequency of each element in the array. For each unique element, we will check if there's another element that can form a k-diff pair with it. When k is zero, we need to check if there are duplicates present in the list.
Time Complexity: O(n) because we iterate over the array and then over the hashmap that is bounded by a constant size. Space Complexity: O(n) to store the frequency map.
1#include <stdio.h>
2#include <stdlib.h>
3#include <stdbool.h>
4
5int findPairs(int* nums, int numsSize, int k) {
6    int *hashMap = (int*)calloc(20001, sizeof(int));
7    int count = 0;
8    for(int i = 0; i < numsSize; i++) {
9        hashMap[nums[i] + 10000]++;
10    }
11    for(int i = 0; i < 20001; i++) {
12        if(hashMap[i]) {
13            int num = i - 10000;
14            if(k == 0) {
15                if(hashMap[i] >= 2) count++;
16            } else if(k > 0 && num + k <= 10000 && hashMap[num + k + 10000]) {
17                count++;
18            }
19        }
20    }
21    free(hashMap);
22    return count;
23}The code uses a frequency map stored as an array from -10000 to 10000 to count occurrences of each number. For a k-difference, if k is zero, we count pairs from duplicates. Otherwise, we look for the presence of the number plus k.
This approach involves sorting the array initially, then using two pointers to determine unique k-diff pairs. The array being sorted helps us efficiently reduce potential pair checks, and ensure pairs are considered only once.
Time Complexity: O(n log n) due to sorting. Space Complexity: O(1) if disregard input.
1#include <vector>
#include <algorithm>
int findPairs(std::vector<int>& nums, int k) {
    std::sort(nums.begin(), nums.end());
    int count = 0, left = 0, right = 0;
    while (right < nums.size()) {
        if (right == left || nums[right] - nums[left] < k) {
            ++right;
        } else if (nums[right] - nums[left] > k) {
            ++left;
        } else { // nums[right] - nums[left] == k
            ++count;
            ++left;
            while (right < nums.size() && nums[right] == nums[right - 1]) {
                ++right;
            }
        }
    }
    return count;
}The array is sorted initially, after which two pointers determine the valid pairs by comparing the difference to k. If a valid pair is found, the left pointer moves forward. Duplicate elements are effectively managed.