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 Scala (2.11.7) (judge verdict: Accepted)

object Main extends App {
  val input = io.Source.stdin.getLines.toIndexedSeq.tail.head.split(' ').map(_.toInt).toSeq
  val avg:Double = input.sum.toDouble / input.size
  
  val min:Double = input.foldLeft(Double.MaxValue){ (a,e) =>
    val dist = Math.abs(avg - e.toDouble)
    //println(dist)
    Math.min(a, dist)   
  }
  //println(min)
  val f = input.indexWhere(e => Math.abs(avg - e.toDouble) == min)
  println(f)
}