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레이팅 미적용의견: 0
Nina and Emilija are playing a game on a piece of paper. Initially, the paper is empty.
In one move a player appends a letter to the end of the word that is currently written
on the paper. They alternate turns, and Nina plays first.
Players must choose the letters in such a way that the following condition is met: the
word that is written after the player’s move must be a prefix of some word in that players
favourite song. If the player can’t make a move, she loses.
If both players play optimally, determine who wins.
In test cases worth 40 points the sum of the lengths of the words will be at most 2000.
The first line contains a positive integer \(n\), the number of words in Nina’s favourite song.
Each of the following \(n\) lines contains a word from Nina’s favourite song.
The following line contains a positive integer \(m\), the number of words in Emilija’s favourite song.
Each of the following \(m\) lines contains a word from Emilija’s favourite song.
Words in input contain only lowercase letters, and the sum of the lengths of all words is at most 200 000.
Output Nina or Emilija, the name of the winner.
2
aaa
bbb
3
aab
aba
bbbNina2
acg
beh
2
adi
bfjEmilija3
ja
sam
vlak
5
sto
zgazit
ce
te
maliNinaClarification of the first example:
If Nina first writes b, Emilija must write b, and then Nina can write b. The current word is bbb, and
Emilija can’t make a move, so Nina wins.
If Nina would first write a, Emilija could write b. The word would be ab, and Nina wouldn’t be able to
make a move, and she would lose.
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