H-Index

Given an array of integers citations where citations[i] is the number of citations a researcher received for their i^th 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
Inputcitations = [3,0,6,1,5]
Output3
The researcher has 3 papers with at least 3 citations each and the remaining two with no more than 3 citations each, so the h-index is 3.
Example 2
Inputcitations = [1,3,1]
Output1
The researcher has at least 1 paper with at least 1 citation, but not at least 2 papers with at least 2 citations each, so the h-index is 1.

Constraints

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

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