Post

#274. H-Index

#274. H-Index
  • Solved

Description


Given an array of integers citations where citations[i] is the number of citations a researcher received for their ith paper, return the researcher’s h-index.

According to the definition of h-index on Wikipedia: The h-index is defined as the maximum value of h such that the given researcher has published at least h papers that have each been cited at least h times.

Example 1:

Input: citations = [3,0,6,1,5]
Output: 3
Explanation: [3,0,6,1,5] means the researcher has 5 papers in total and each of them had received 3, 0, 6, 1, 5 citations respectively.
Since the researcher has 3 papers with at least 3 citations each and the remaining two with no more than 3 citations each, their h-index is 3.

Example 2:

Input: citations = [1,3,1]
Output: 1

Constraints:

  • n == citations.length
  • 1 <= n <= 5000
  • 0 <= citations[i] <= 1000

My Solution


1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
public class Solution {
    public int HIndex(int[] citations) {
        int h = 0;
        int[] numsCitation = new int[citations.Length + 1];

        for(int i = 0; i < citations.Length; i++) {
            if(citations[i] > citations.Length) {
                numsCitation[citations.Length]++;
            }
            else {
                numsCitation[citations[i]]++;
            }
        }
        
        for(int i = citations.Length; i >= 0; i--) {
            h += numsCitation[i];

            if(h == i) {
                return h;
            }
            else if (h > i) {
                return i;
            }
        }

        return 0;
    }
}

Runtime

0 ms / Beats 100.00%

Memory

40.60 MB / Beats 41.23%

Big O Notation

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

Best Solution


1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
public class Solution {
    public int HIndex(int[] citations) {
        int h = 0;
        int[] numsCitation = new int[citations.Length + 1];

        foreach(int citation in citations) {
            numsCitation[Math.Min(citation, citations.Length)]++;
        }
        
        for(int i = citations.Length; i >= 0; i--) {
            h += numsCitation[i];

            if(h >= i) {
                return i;
            }
        }

        return 0;
    }
}

Runtime

0 ms / Beats 100.00%

Memory

40.31 MB / Beats 78.58%

Big O Notation

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

Reflection


Think Easy.

This post is licensed under CC BY 4.0 by the author.