ll@T,P[]{2,5};rep(T){ll@N,@M,m=1d9,b=0;rep[P](p,2)while(m%p<1&&!(N%p||(b|=M%p)))(N,M,m)/=p;N=b?-1:m-M%m*powmod(N%m,4d8-1,m)%m;wt(b||N<m?N:m);}