LeetCode-532:K-diff Pairs in an Array (给定绝对值差的值对个数)

Question

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:

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

问题解析:

从给定数组中,找出所有差的绝对值为k的元素值对(i, j),返回元素值对的数量。

Answer

Solution 1:

HashMap实现。

  • 由题目可以知道,同LeetCode-1:Two Sum类似,题中在map中找到nums[i]+k,就相当于找到了一对符合题目的值对;
  • 首先给出没有值对,即符合条件的值对数量为0的情况;
  • nums中的所有元素以 (value:number) 的map对对象,存储在map中;
  • 遍历map中的元素,注意区分k为0和不为0的情况。
class Solution {
    public int findPairs(int[] nums, int k) {
        if (nums == null || nums.length == 0 || k < 0) return 0;

        Map<Integer, Integer> map = new HashMap<>();
        int count = 0;
        for (int i : nums){
            map.put(i, map.getOrDefault(i, 0) + 1);
        }

        for (Map.Entry<Integer, Integer> entry : map.entrySet()){
            if (k == 0){
                if (entry.getValue() >= 2){
                    count++;
                }
            }else{
                if (map.containsKey(entry.getKey() + k)){
                    count++;
                }
            }
        }
        return count;
    }
}
  • Runtime: 30 ms
  • Beats 58.44 % of java submissions
  • 时间复杂度:O(n);空间复杂度:O(n)
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