#include #define _overload(_1,_2,_3,name,...) name #define _rep(i,n) _range(i,0,n) #define _range(i,a,b) for(int i=int(a);i=int(b);--i) #define rrep(...) _overload(__VA_ARGS__,_rrange,_rrep,)(__VA_ARGS__) using namespace std; const int limit=10000000; int divisor[limit+1],prime[limit+1]; int factor[limit+1][10]; void init(){ int total=0; for(int i=2;i<=limit;++i) divisor[i]=i; for(int p=2;p<=limit;++p){ if(divisor[p]==p) prime[total++]=p; for(int i=0;i>=1; } return b; } const int t_limit=100000; const int n_limit=10000000; int main(void){ init(); int t=0,all=0; scanf("%d",&t); assert(1<=t&&t<=t_limit); rep(loop,t){ int n,x,a,b,m; scanf("%d %d %d %d %d",&n,&x,&a,&b,&m); assert(1<=n && n<=n_limit); assert(0<=x && x<=1e9); assert(0<=a && a<=1e9); assert(0<=b && b<=1e9); assert(1<=m && m<=1e9); all+=n; bool allzero=true; int ans=0,f[10]; fill(f,f+10,0); int num=n-1,den=1; rep(i,n){ int cur=x%10; x=((x^a)+b)%m; rep(j,10) cur=(cur*power(j,f[j],9))%9; ans=(ans+cur)%9; rep(j,10) f[j]+=factor[num][j]; rep(j,10) f[j]-=factor[den][j]; num--,den++; } if(allzero==false && ans==0) ans=9; printf("%d\n",ans); } assert(all<=n_limit); return 0; }