British astronomer Eddington liked to ride a bike. It is said that in order to show off his skill, he has even defined an "Eddington number", E -- that is, the maximum integer E such that it is for E days that one rides more than E miles. Eddington's own E was 87.

Now given everyday's distances that one rides for N days, you are supposed to find the corresponding E (≤).

Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer N (≤), the days of continuous riding. Then N non-negative integers are given in the next line, being the riding distances of everyday.

Output Specification:

For each case, print in a line the Eddington number for these N days.

Sample Input:

10
6 7 6 9 3 10 8 2 7 8

Sample Output:

6
 #include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
int n;
int main()
{
cin >> n;
vector<int>v(n);
for (int i = ; i < n; ++i)
cin >> v[i];
sort(v.begin(), v.end());
int k = ;
for (k = ; k < n; ++k)
if (v[k] > n - k)
break;
cout << n - k;
return ;
}

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