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<string>
#include<algorithm>
#include<vector>
#include<queue>
#include<functional>
#include<cmath>
#include<set>
#include<random>
#include<stdio.h>
#include<map>
using namespace std;
#define int long long
#define rep(i,n) for(int i=0;i<n;i++)
const long long mod = 1000000007;
const long long inf = 11451419198109311;
const long double pi = 3.1415926535897932384626433;
typedef pair<int, int> P;
struct edge { int to, cost; };
int a[114];
signed main() {
	int n; cin >> n;
	rep(i, n)cin >> a[i];
	int ans = 1145141919;
	int ns = 0;
	rep(i, n) {
		ns += a[i];
		ans = min(ans, ns / (i + 1));
	}
	cout << ans << endl;
}
