Problem:
Score : 200 points

Problem Statement

Niwango-kun is an employee of Dwango Co., Ltd.

One day, he is asked to generate a thumbnail from a video a user submitted.

To generate a thumbnail, he needs to select a frame of the video according to the following procedure:

Get an integer N and N integers a_0, a_1, ..., a_{N-1} as inputs. N denotes the number of the frames of the video, and each a_i denotes the representation of the i-th frame of the video.

Select t-th frame whose representation a_t is nearest to the average of all frame representations.

If there are multiple such frames, select the frame with the smallest index.

Find the index t of the frame he should select to generate a thumbnail.

Constraints

1 \leq N \leq 100

1 \leq a_i \leq 100

All numbers given in input are integers

Input

Input is given from Standard Input in the following format:

N
a_{0} a_{1} ... a_{N-1}

Output

Print the answer.

Sample Input 1

3
1 2 3

Sample Output 1

1

Since the average of frame representations is 2, Niwango-kun needs to select the index 1, whose representation is 2, that is, the nearest value to the average.

Sample Input 2

4
2 5 2 5

Sample Output 2

0

The average of frame representations is 3.5.

In this case, every frame has the same distance from its representation to the average.

Therefore, Niwango-kun should select index 0, the smallest index among them.

Solution in C (GCC 5.4.1) (judge verdict: Runtime Error)

#include<stdio.h>

int main(void)
{
     int nu,n,i,z,k;
     int a[101];
     float ave,sa,min;
    
    scanf("%d",&n);

     for (i=0;i<n;i++){
          scanf("%d",&a[i]);
          ave+=a[i];
     }
     ave = ave/n;
     z=n-1;
     for(i=0;((i<n)||(i>z));i++){
     if(a[z]>=a[i]){
           sa=a[i]-ave;
           k=i;
      }
      else{
              sa=a[z]-ave;
              k=z;
      }
      if(sa<=0){
      if((sa==min)||(k <nu)){nu=k;}
      else{min=sa;nu=k;}
      }
z=z-1;
}
      printf("%d",nu);
      return(0);
      }