Problem2147--Thumbnail

2147: Thumbnail

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Time Limit : 1.000 sec  Memory Limit : 128 MB

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Description

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 a0 a1 a2.... aN-1 as inputs. N denotes the number of the frames of the video, and each ai denotes the representation of the i-th frame of the video.
  • Select t-th frame whose representation at 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≤N≤100
  • 1≤ai≤100
  • All numbers given in input are integers

Input 

N
a0 a1 a2.....an-1

Output

Print the answer.

Sample Input Copy 

3
1 2 3

Sample Output Copy 

1

HINT

in sample1:
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.

another sample:
4
2 5 2 5
the answer is: 0

because:
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.

Source/Category

 
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