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Problem Description

Single elimination tournament, also known as knockout tournament, is a competition format where participants compete in a series of matches, and the loser of each match is eliminated from the tournament. The tournament continues until only one participant remains, who is then declared the winner. This format is commonly used in various sports and competitive events to determine a single champion.

Youngmagician is now participating in an elimination tournament, but his power are very weak. He decides to compensate for his lack of quality by using quantity. He plans to enter the competition with numerous duplicates of himself simultaneously.

The total number of participants in the competition is 2^n, among which those with a power of 1 are duplicates of Youngmagician. Please help calculate Youngmagician's highest achievement and cheers to his achievement, "we are top xx !"

Input Format

an integer number n.

the next line contains (2^n) interger number.

Output Format

a string .

Sample

样例输入

3
2 1 1 1 1 1 1 2

样例输出

we are top 4 !

样例解释

Youngmagician's two duplicates entered the quarter-finals, but they were successively eliminated by two other participants with a power of 2. Therefore, Youngmagician is top 4(四强).

Hint

$1\leq n \leq 20$。 power $p$ ,$1\leq p \leq 1e18$。