• محدودیت زمان: ۱ ثانیه
• محدودیت حافظه: ۲۵۶ مگابایت

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UEFA Champions League is the most prestigious annual sport competition in the world. In this competition, European clubs are divided into 8 groups of 4 teams.

In group stage, teams are ranked according to some specific rules. For example Team A will be ranked above Team B if:

• Team A has more points than Team B.
• If their points are equal, Team A has higher goal difference than Team B.
• In case of tie in all previous cases, Team A has scored more goals than Team B.
• In case of tie in all previous cases, Team A has scored more Away Scored Goals than Team B.

It is guaranteed that there won’t be a tie after these rules.

Your task is to write a program to determine the group leaders (top 2 teams of each group) based on their results.

ورودی

The input is describing 12 games which are played between teams of a group. Each line describes a game and its result. The length of each line doesn’t exceed 25.

The format of each line is: HomeTeamName HomeTeamGoals vs. AwayTeamGoals AwayTeamName

Teams’ names consist of English letters and space character.

The team with more scored goals wins the game and receives 3 points. In case of draw, both teams receive 1 point.

• $GoalDifference = ScoredGoals - RecievedGoals$
• Away Goals = Number of goals scored (being away team)

خروجی

Print the names of first team and the second team in the appropriate order. They must be printed in separate lines.

مثال‌ها

ورودی نمونه ۱

Man Utd 8 vs. 2 Arsenal
Lyon 1 vs. 2 Man Utd
FC Barca 0 vs. 0 Lyon
FC Barca 5 vs. 1 Arsenal
Man Utd 3 vs. 1 FC Barca
Arsenal 6 vs. 0 Lyon
Arsenal 0 vs. 0 Man Utd
Man Utd 4 vs. 2 Lyon
Arsenal 2 vs. 2 FC Barca
Lyon 0 vs. 3 FC Barca
Lyon 1 vs. 0 Arsenal
FC Barca 0 vs. 1 Man Utd

خروجی نمونه ۱

Man Utd
FC Barca