LC 275. H-Index II

Given an array of citations sorted in ascending order (each citation is a non-negative integer) of a researcher, write a function to compute the researcher's h-index.

According to the definition of h-index on Wikipedia: "A scientist has index h if h of his/her N papers have at least h citations each, and the other N − h papers have no more than h citations each."

Example:

Input: citations = [0,1,3,5,6]
Output: 3 
Explanation: [0,1,3,5,6] means the researcher has 5 papers in total and each of them had 
             received 0, 1, 3, 5, 6 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, her h-index is 3.

Note:

If there are several possible values for h, the maximum one is taken as the h-index.

Follow up:

• This is a follow up problem to H-Index, where citations is now guaranteed to be sorted in ascending order.
• Could you solve it in logarithmic time complexity?

 

 

 

Runtime: 32 ms, faster than 54.70% of C++ online submissions for H-Index II.

 

 

#include <vector>
using namespace std;
class Solution {
public:
  int hIndex(vector<int>& citations) {
    int mid = 0, left = 0, right = citations.size();
    while(left < right){
      mid = left + (right - left) / 2;
      if(citations.size() - mid > citations[mid] ){
        left = mid+1;
      }else right = mid;
    }
    return citations.size() - left;
  }
};