G: Working

Kou decided to do the same number of jobs every day for the next $ N $.

$ A_i $ jobs are added on the $ i $ day of the $ N $ day.

Mr. Kou has no work to do now, and he doesn't have to finish all the work by the $ N $ day.

How many jobs can you do in a day?

However, Mr. Kou is excellent, so he can do as many jobs as he has.

input

$ N $ is given on the first line.

On the second line, $ N $ integers $ A_1, A_2, A_3, \ dots, A_N $ are given, separated by blanks.

output

Output the maximum number of jobs you can do in a day. Insert a line break at the end.

Constraint

* $ N $ is an integer greater than or equal to $ 1 $ and less than or equal to $ 100 $
* $ A_1, A_2, A_3, \ dots, A_N $ are integers between $ 1 $ and $ 100 $



Input example 1


Five
4 2 5 3 1


Output example 1


3


If you decide to work more than $ 4 $ a day, you'll run out of work on the second day.

Input example 2


Five
9 9 1 9 9


Output example 2


6






Example

Input

5
4 2 5 3 1


Output

3
#include<iostream>
#include<vector>
#include<string>
#include<algorithm>
using namespace std;
long long ni(long long ta, vector<long long> & v) {

}
long long rui(long long n, long long k, long long p) {
	if (k == 0) {
		return 1;
	}
	else {
		long long a = rui(n, k / 2, p);
		if (k % 2 == 0) {
			return (a*a) % p;
		}
		return (((a*a) % p)*n) % p;
	}
}
int main(){
	int n; cin >> n;
	int ans = 101;
	int sum = 0;
	for (int i = 0; i < n; i++) {
		int a; cin >> a;
		sum += a;
		ans = min(ans, sum / (i + 1));
	}
	cout << ans << endl;
}
