A Game of Thrones

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Bran and Tyrion are the last two high lords fighting for the Iron Throne. With a mutual agreement that included all knights of the realm, it was decided to settle the issue with a game of thrones, of course not a game of swords but a game of numbers, after all one of them is a cripple and other is a dwarf. Seven wisest men of the realm came forward and forged rules of this game which are as follows :
 Initially N numbers were written down on a notebook (possibly with multiple copies of every number).
 Players alternate their turns with Bran playing first.
 In the first turn Bran gets to choose a number of his choice from the numbers written on the notebook and declare it as the current number of the game.
 After that in every move this is what they do : let's say the current number of the game is u. They erase u from the notebook (if u was written multiple times, they erase it only once) and declare one of the numbers still written on the notebook v as current number of the game. v can be chosen iff prime factorization of u and v differ by exactly 1 prime factor. ( Read notes for a more formal definition)
 The player who can't make a move loses the game.
You're one of Varys' spider and he has asked you to predict the outcome of this game beforehand so that he can devise future strategy. So you've to find out who has a winning strategy assuming both players play optimally.
Notes:
1) v can be chosen after u iff either of the following conditions hold :
 v > u and u  v and (v / u) is prime
 u > v and v  u and (u / v) is prime
2) A natural number if prime if it has exactly two distinct positive factors. 1 is not a prime number.
Input
First line of the input contains a single integer N denoting number of
different numbers written in the notebook. Then follow N lines. Each of
the following lines contain two space separated integers : u_{i}
and c_{i} where u_{i}
is the i^{th} distinct integer written on notebook and it has been repeated c_{i}
number of times.
Output
Your program should print Bran if he has a a winning strategy else it should print Tyrion. Also in case Bran could win, your program must output the smallest number Bran could choose in the first turn to ensure a win. See sample output for details.
Example
Input: 3 2 3 14 3 21 2 Output: Bran 21
Constraints:
1 <= N <= 500
1 <= u_{i}
<= 10^18
1 <= c_{i}
<= 10^9
All u_{i}
are distinct.
Author:  yellow_agony 
Tester:  laycurse 
Editorial  http://discuss.codechef.com/problems/GTHRONES 
Tags  aug12, flow, hard, matching, yellow_agony 
Date Added:  8072012 
Time Limit:  0.1  0.190817 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.6, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, CLOJ, FS 
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