Problem B
Birthday Boy

Bobby has just joined a new company, and human resources has asked him to note his birthday on the office calendar. Bobby the Birthday Boy wants to feel special! Also, Bobby the Birthday Boy does not mind lying for attention.

He notices that the longer people have not celebrated a birthday or eaten cake, the more they like it when a new one comes around. So he wants to pick his birthday in such a way that the longest period of time without a birthday possible has just passed. Of course he does not want to share his birthday with any colleague, either.

Can you help him make up a fake birthday to make him feel as special as possible? Bobby does not care about leap years: you can assume every year is not a leap year, and that no one has a birthday on the 29th of February. In case of a tie, Bobby decides to fill in the date that is soonest (strictly) after the current date, the 27th of October, because that means he will get to celebrate his birthday as soon as possible.

\includegraphics[width=0.35\textwidth ]{cal.png}
Figure 1: Sample case $2$. The calendar is from http://printablecalendarholidays.com.


  • The first line has a number $1 \leq n \leq 100$, the number of colleagues Bobby has in his new office.

  • Then follow $n$ lines, each line corresponding to one coworker. Each line gives the name of the colleague (using at most $20$ upper- or lowercase letters a–z) separated from their birthday date by a space. The date is in format mm-dd.


Print the fake birthday date (format: mm-dd) chosen by Bobby.

Sample Input 1 Sample Output 1
Henk 01-09
Roos 09-20
Pietje 11-11
Sample Input 2 Sample Output 2
Henk 01-09
Luc 12-31
Jan 03-22
Roos 09-20
Pietje 11-11
Anne 02-28
Pierre 09-25
Dan 12-15
Lieze 11-17
Charlotte 05-01
Lenny 08-02
Marc 04-25
Martha 06-12
John 03-26
Matthew 01-20
John 01-20
Sample Input 3 Sample Output 3
JohnIII 04-29
JohnVI 10-28
JohnIIX 04-28
Sample Input 4 Sample Output 4
CharlesII 04-30
CharlesV 10-29
CharlesVII 04-29

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