A. Log Choppingtime limit per test1 secondmemory limit per test256 megabytesinputstandard inputoutputstandard outputThere are n logs, the i-th log has a length of a_i meters. Since chopping logs is tiring work, errorgorn and maomao90 have decided to play a game.errorgorn and maomao90 will take turns chopping the logs with errorgorn chopping first. On his turn, the player will pick a log and chop it into 2 pieces. If the length of the chosen log is x, and the lengths of the resulting pieces are y and z, then y and z have to be positive integers, and x=y+z must hold. For example, you can chop a log of length 3 into logs of lengths 2 and 1, but not into logs of lengths 3 and 0, 2 and 2, or 1.5 and 1.5.The player who is unable to make a chop will be the loser. Assuming that both errorgorn and maomao90 play optimally, who will be the winner?InputEach test contains multiple test cases. The first line contains a single integer t (1 \leq t \leq 100)  — the number of test cases. The description of the test cases follows.The first line of each test case contains a single integer n (1 \leq n \leq 50)  — the number of logs.The second line of each test case contains n integers a_1,a_2, \ldots, a_n (1 \leq a_i \leq 50)  — the lengths of the logs.Note that there is no bound on the sum of n over all test cases.OutputFor each test case, print "errorgorn" if errorgorn wins or "maomao90" if maomao90 wins. (Output without quotes).ExampleInput
2
4
2 4 2 1
1
1
Output
errorgorn
maomao90
NoteIn the first test case, errorgorn will be the winner. An optimal move is to chop the log of length 4 into 2 logs of length 2. After this there will only be 4 logs of length 2 and 1 log of length 1.After this, the only move any player can do is to chop any log of length 2 into 2 logs of length 1. After 4 moves, it will be maomao90's turn and he will not be able to make a move. Therefore errorgorn will be the winner.In the second test case, errorgorn will not be able to make a move on his first turn and will immediately lose, making maomao90 the winner.
2
4
2 4 2 1
1
1

errorgorn maomao90 
['games', 'implementation', 'math', '*800']