Still no correct answers.
@Jean: sorry cold... the part your explanation misses is the key(word) time.
@rrw: you were closer before; painfully so.
@Aoie_Emesai: I will do well before the contest actually starts. This is to help people creating riddles know how to pitch the problem so it will actually be solvable and not just frustrate people because of obscurities. I hope to get all that frustration out now with this example