SIHanatsuka EMber SIHanatsuka ATONEMENTBack time sevenyearold Nora play lot game creation robo_head02 fun enhance abilitiesone day Noras adoptive father Phoenix Wyle bring Nora n box toy before unpack Nora decide fun game ROBOShe label n box n distinct integer a_1 a_2 ldot a_n ask robo follow action possibly zero time pick distinct indice j k a_i mid a_j a_i mid a_k in word a_i divide a_j a_k a_j bmod a_i 0 a_k bmod a_i 0 after choose Nora kth box ROBO place box pile initially pile after box k unavailable action Being amuse different try game Nora ask robo calculate number possible different pile have large box two pile consider different exist position pile different boxessince robo infant stage Nora young concentrate long time fall asleep find final answer can help themas number pile large print answer modulo 109 7