Playing with Dice

题意翻译

## 题目描述 两个人正在玩游戏。每人写一个 1~6 之间的数,然后掷骰子。写下的数字和骰子上的数最接近的那个人获胜。如果两个人写的数和骰子上的数差距都是一样的,那么是平局。 第一个人写的数是 a,第二个人写的数是 b。 请分别输出第一个人赢、平局、第二个人赢有多少种可能(方法数)。 ## 输入格式 一行两个数 a 和 b (1<=a,b<=6)。 表示两个人写下的数。 ## 输出格式 一行三个数,用空格分隔。 分别表示第一个人赢、平局、第二个人赢的方法数。 ## 说明 骰子是一个正方体。每个面上有 1~6 的数字。 当 $| a-x | < | b-x |$ 时,可以说 a 比 b 更接近 x。

题目描述

Two players are playing a game. First each of them writes an integer from 1 to 6, and then a dice is thrown. The player whose written number got closer to the number on the dice wins. If both payers have the same difference, it's a draw. The first player wrote number $ a $ , the second player wrote number $ b $ . How many ways to throw a dice are there, at which the first player wins, or there is a draw, or the second player wins?

输入输出格式

输入格式


The single line contains two integers $ a $ and $ b $ ( $ 1<=a,b<=6 $ ) — the numbers written on the paper by the first and second player, correspondingly.

输出格式


Print three integers: the number of ways to throw the dice at which the first player wins, the game ends with a draw or the second player wins, correspondingly.

输入输出样例

输入样例 #1

2 5

输出样例 #1

3 0 3

输入样例 #2

2 4

输出样例 #2

2 1 3

说明

The dice is a standard cube-shaped six-sided object with each side containing a number from 1 to 6, and where all numbers on all sides are distinct. You can assume that number $ a $ is closer to number $ x $ than number $ b $ , if $ |a-x|&lt;|b-x| $ .