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 namespace std;

typedef long long ll;

signed main()
{
    int n;
    cin >> n;
    vector<int> a(n);
    for(auto& x : a){
        cin >> x;
    }
    vector<int> rui(n, a[0]);
    for(int i = 1; i < n; ++i)
        rui[i] = rui[i - 1] + a[i];
    int ans = 1e9;
    for(int i = 0; i < n; ++i){
        int c = i + 1;
        int bound = rui[i] / c;
        ans = min(bound, ans);
    }
    cout << ans << endl;
}


