tokitsukaze playing room escape game design SkywalkerT in game need find hidden clue room reveal way escapeafter realize way run away open digital door lock accidentally go secret compartment find clue interpret only enter n possible different password open door Passwords integer range 0 m 1 a password x 0 leq x m x m coprime ie x m common divisor great 1 a password x 0 leq x m exist nonnegative integer e k pe k m x p secret integer any integer do not break rule password several integer hide room p fortunately find n m record lock however make Tokitsukaze frustrated do not math now find integer suspect p want help find n possible password determine integer p