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.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner scanner = new Scanner(System.in);
		int counter = scanner.nextInt();
		int[] sam = new int[counter];
		int sams = 0;
		
		for(int i = 0;i<counter;i++) {
			sam[i]= scanner.nextInt();
			sams += sam[i];
		}
		short ave = (short) (((short)sams)/((short)counter));
		
		short sa = 100;
		int result = -1;
		
		for(int i = 0;i<counter;i++) {
			if(sa > shortAbs((short) ((short)sam[i]-ave))) {
				sa = shortAbs((short) ((short)sam[i]-ave));
				result = i;
			}
		}
		System.out.println(result);
	}
	
	public static short shortAbs(short a) {
		if(a < 0) {
			return (short) -a;
		}
		else {
			return a;
		}
	}
}