PAT1011

With the 2010 FIFA World Cup running,

随着2010世界杯的举行

football fans the world over were becoming increasingly excited as the best players from the best teams doing battles for the World Cup trophy in South Africa.

世界各国的足球粉丝越加的激动，对于在南非世界杯的强强对决。

Similarly, football betting fans were putting their money where their mouths were, by laying all manner of World Cup bets.

同时，球迷会吧自己这个月的钱花在赌球上面

Chinese Football Lottery provided a "Triple Winning" game.

中国足球提供了一种叫TW的游戏

The rule of winning was simple: first select any three of the games.

规则很简单，先选任意三场比赛

Then for each selected game, bet on one of the three possible results -- namely W for win, T for tie, and L for lose.

之后每场比赛有三种可能的结果，win，tie，lose

There was an odd assigned to each result. The winner's odd would be the product of the three odds times 65%.

对于每个结果都已一个基数，最后胜利的基数是三个基数的65%

For example, 3 games' odds are given as the following:

 W    T    L
1.1  2.5  1.7
1.2  3.0  1.6
4.1  1.2  1.1

To obtain the maximum profit, one must buy W for the 3rd game, T for the 2nd game, and T for the 1st game.

If each bet takes 2 yuans, then the maximum profit would be (4.1*3.0*2.5*65%-1)*2 = 37.98 yuans (accurate up to 2 decimal places).

Input

Each input file contains one test case. Each case contains the betting information of 3 games.

Each game occupies a line with three distinct odds corresponding to W, T and L.

Output

For each test case, print in one line the best bet of each game, and the maximum profit accurate up to 2 decimal places.

The characters and the number must be separated by one space.

Sample Input

1.1 2.5 1.7
1.2 3.0 1.6
4.1 1.2 1.1

Sample Output

T T W 37.98

这道题翻译到一半就不想看了，求三个最大值，然后代入公式一算，打印结果，没技术含量不写了。