Today football has become the most popular sport all over the world. Many countries have their own football league matches. And the FIFA wants to hold a great league match which could contains all the clubs throughout the world. It is difficult to rank so many teams just by hand. So they come to you for help.
The rules of ranking are:
1. A team will get 3 points when they win a match, 1 point when get a draw, 0 point when lost.
2. Teams are ranked by their total points first. If two teams have the same points, the team who get the more "goal difference" ranks higher. "Goal difference" for a team is equal to the total number of balls they goal minus those they lost.
3. If two teams have both the same points and the same "goal difference", ranking them by their name alphabetically.
Input
The input contains many cases. The beginning of each case is a num m (m<=10000), which is the number of matches. The following m lines each give a score of a match. The format is:
Team_name1 score1:score2 Team_name2
The length of team name is no more than 20 characters and the scores are less than 100. You may assume that every team in the league has taken part in at least one match.
Output
For each case output a ranking table, each team a line. The format of each line is
Id Nm w d l Pt Gd
"Id" is the index of the team starting from 1. "Nm" is the name of the team. "w", "d" and "l" respectively is the total number of matches the team win, draw and lost. "Pt" is the points of the team. And "Gd" is the team's goal difference.
Use a single blank to separate all cases.
Sample Input
4
Liverpool 1:0 ManchesterU
ManchesterU 3:0 Leeds
Arsenal 2:2 Liverpool
Leeds 1:5 Arsenal
6
RealMadrid 3:2 ACMilan
ZJGreenCity 3:2 RealMadrid
ACMilan 1:4 ZJGreenCity
RealMadrid 0:0 ZJGreenCity
ACMilan 2:0 RealMadrid
ZJGreenCity 3:3 ACMilan
Sample Output
1 Arsenal 1 1 0 4 4
2 Liverpool 1 1 0 4 1
3 ManchesterU 1 0 1 3 2
4 Leeds 0 0 2 0 -7
1 ZJGreenCity 2 2 0 8 4
2 ACMilan 1 1 2 4 -2
3 RealMadrid 1 1 2 4 -2
