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 <bits/stdc++.h>
using i64 = long long;
using std::cout;
using std::endl;
using std::cin;

int main() {
	int n; scanf("%d", &n); std::vector<int> a(n);
	for(int i = 0; i < n; i++) scanf("%d", &a[i]);
	for(int k = 100; k > 0; k--) {
		int tmp = 0;
		bool beet = true;
		for(int i = 0; i < n; i++) {
			tmp += a[i];
			if(tmp < k) {
				beet = false;
				break;
			}
			tmp -= k;
		}
		if(beet) {
			printf("%d\n", k);
			break;
		}
	}
	return 0;
}

