Given an array of integers
citations[i] is the number of citations a researcher received for their
ith paper and
citations is sorted in an ascending order, return compute the researcher's
According to the definition of h-index on Wikipedia: A scientist has an index
h of their
n papers have at least
h citations each, and the other
n − h papers have no more than
h citations each.
If there are several possible values for
h, the maximum one is taken as the
You must write an algorithm that runs in logarithmic time.
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, their h-index is 3.
Input: citations = [1,2,100] Output: 2
n == citations.length
1 <= n <= 105
0 <= citations[i] <= 1000
citationsis sorted in ascending order.