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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.Deque;

public class Main {
  public static void main(String[] args) {
    new Main().run();
  }

  public void run() {
    
    try(BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        PrintWriter out = new PrintWriter(System.out)) {

          int n = Integer.parseInt(in.readLine());

          int a[] = new int[n];
          String line = in.readLine();
          char regex = ' ';
          boolean isContinue = true;
          for(int i=0,m=0, offset=0,next=0; isContinue; i++, offset = ++next) {
            if((next = line.indexOf(regex,offset)) == -1) {
              next = line.length();
              isContinue = false;
            }
            a[i] = Integer.parseInt(line.substring(offset,next));
          }

          int sum=0;
          for(int i=0; i<n; i++) {
            sum += a[i];
          }

          double ave = sum / (double)n;
          System.out.println(ave);

          int ans=0;
          double d=0.0, min = 100000.0;
          for(int i=0; i<n; i++) {
            d = Math.abs(ave - a[i]);
            if(min > d) {
              min = d;
              ans = i;
            }
          }
          System.out.println(ans);
      }
      catch(IOException e) {
        System.err.println(e);
      }
  }
}