Time Limit: Java: 2000 ms / Others: 2000 ms
Memory Limit: Java: 65536 KB / Others: 65536 KB
Kagome Kagome is a Japanese children's game. One child is chosen as the oni (literally demon or ogre, but similar to the concept of "it" in tag) and sits blindfolded (or with their eyes covered). The other children join hands and walk in circles around the oni while singing the song for the game. When the song stops, the oni speaks aloud the name of the person behind him, and if he is correct, the person behind will exchange places with the oni.
Higurashi Tewi is playing Kagome Kagome with her n (n is even) friends as the oni now. She peeps to know who is right in front of her. Knowing the order of the children in circle and assuming that they keep distance evenly, it's easy to derive who is right behind her.
There are multiple test cases. The first line of input is an integer T ≈ 100 indicating the number of test cases.
The first line of each test case starts with an even number 1 ≤ n ≤ 100, followed by the name of the child who is right in front of Higurashi Tewi. The second line contains exactly n different names, listed in counterclockwise order. Name is an alphanumeric string whose length never exceeds 20. It's guaranteed that the child in front of Higurashi Tewi is always contained in the list exactly once.