Competitions

# 2-Stage UOI Zhitomir 2010-2011 2010 1 st stream

# SMS voting

In the final American Idol SMS voting was conducted to determine the winners among the N participants. TV viewers to send SMS with the number (a number from 1 to N) of your favorite artist and number of the SMS were rating each participant. Total on the host computer competition, of M messages SMS. Need to make a program that displays numbers of three winners in descending order of their rankings and increasing numbers, if the ratings are equal.

## Input data

The first line contains two numbers N and M (3 ≤ N ≤ 100, 1 ≤ M ≤ 1000000).

The next line of M numbers, each of which does not exceed N.

## Output data

Three numbers - numbers of the winners recorded in a single line through the space.

## Examples

Input example #1

5 10 1 2 3 4 5 2 1 2 4 2

Output example #1

2 1 4