Lucy and Vega are playing a game named Guess The Number .P is . If there are multiple answers , tell Vega the minimum one .
Lucy and Vega are playing a game named Guess The Number . In this game , Lucy selects a decimal number P P randomly , then converts P P into base 2,3,5,7,11 2,3,5,7,11 (We call them A A, B B, C C, D D, E E). Such as : P=10 P=10 , then A=(1010)_2 A=(1010) 2 , B=(101)_3 B=(101) 3 , C=(20)_5 C=(20) 5 , D=(13)_7 D=(13) 7 , E=(A)_{11} E=(A) 11 ( here A A means 10 10 in decimal ) . Lucy defines A_i A i as the i i-th (igeq0) (i≥0) digit of A A , B_i,C_i,D_i,E_i B i ,C i ,D i ,E i uses the same method . Such as : A=(1010)_2 A=(1010) 2 , A_0=0,A_1=1,A_2=0,A_3=1,A_4=0,A_5=0,text{...} A =0,A 1 =1,A 2 =0,A 3 =1,A 4 =0,A 5 =0,... Then for each i i in range [0,36] [0,36] ( inclusive ) , Lucy gets F_i=A_i+B_i+C_i+D_i+E_i F i =A i +B i +C i +D i +E i ( in decimal ) . After that , Lucy tells F_0,F_1,F_2,...,F_{36} F ,F 1 ,F 2 ,...,F 36 to Vega , and Vega needs to guess the number P P . Please help Vega to find what P P is . If there are multiple answers , tell Vega the minimum one .
