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A9343. Playing with Dice

编程题 普及/提高-

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 #1
2 5
输出 #1
3 0 3
输入 #2
2 4
输出 #2
2 1 3

说明/提示

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 $|a-x|<|b-x|$ .
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