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Team Arrangement
Time Limit: 2000MSMemory Limit: 65536K
Total Submissions: 2486Accepted: 641

Description

Barry Bennett, the coach of the Bings football team, wants to arrange his team for an important match against the Bangs. He decides on the formation he wants to play, for example 4-4-2, meaning that there will be four defenders, four midfielders, and two strikers (and of course, one goalkeeper). Your task is to determine the players who will play. For each available player, we know his role (e.g. midfielder). For each role, the players are selected in ascending order of their numbers. When the players are selected, you must determine the captain too, who is the player with the longest record in the team play. In case two players have the same record, the one with bigger number is chosen. Note that the captain is chosen among the players that are selected in the arrange.

Input

The input consists of multiple test cases. The first 22 lines of each test case contain the data for the 22 available players in this format:

number name role year1year'1 year2year'2 ...

number is the player number (unique positive integer less than 100). name is a string of at most 20 letters. role is a single character among G, D, M, S, for goalkeeper, defender, midfielder, and striker respectively. Each yeariyear'i pair (yeariyear'i) shows the player has been a member of the team between the specified years (inclusive). The years are in four-digit format. There is at least one and at most 20 such pairs, and the same year is not repeated more than once in the list. There is a 23rd line describing the desired formation, like 4-4-2 in that format. Note that there are only three numbers in the formation (so, 4-3-2-1 is not valid), none of them is zero, and their sum is always 10. The input is terminated by a line containing a single 0.

Output

For each test case, output a list of 11 players chosen in the arrange. Each line must contain the player number, his name and his role, separated by single blank characters. The players must be sorted according to their role, in the order of goalkeeper, defenders, midfielders, and strikers. The players with the same role are sorted according to ascending order of their numbers. There is an exception that the captain always comes as the first player in the entire list. If it is not possible to arrange the team conforming to the desired formation, write a single line containing IMPOSSIBLE TO ARRANGE in the output. There should be a blank line after the output for each test case.
 

Sample Input

9 PlayerA M 2000-2001 2003-2006
2 PlayerB M 2004-2006
10 PlayerC D 2001-2005
1 PlayerD D 2000-2001 2002-2004
11 PlayerE S 2003-2006
8 PlayerF M 2005-2006
22 PlayerG S 2005-2006
25 PlayerH G 2000-2001 2002-2003 2005-2006
6 PlayerI D 2003-2006
26 PlayerJ D 2003-2004 2000-2001
18 PlayerK M 2003-2004
19 PlayerL M 2000-2001 2003-2006
7 PlayerM S 2003-2006 1999-2001
21 PlayerN S 2003-2006
13 PlayerO S 2005-2006
15 PlayerP G 2001-2006
14 PlayerQ D 2003-2004
5 PlayerR S 2000-2005
20 PlayerS G 2000-2002 2003-2003
12 PlayerT M 2004-2005
3 PlayerU D 2000-2005
4 PlayerV M 2001-2004
4-4-2
0

Sample Output

7 PlayerM S
15 PlayerP G
1 PlayerD D
3 PlayerU D
6 PlayerI D
10 PlayerC D
2 PlayerB M
4 PlayerV M
8 PlayerF M
9 PlayerA M
5 PlayerR S

Source

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