#include using namespace std; typedef long long signed int LL; typedef long long unsigned int LU; #define incID(i, l, r) for(int i = (l) ; i < (r); i++) #define incII(i, l, r) for(int i = (l) ; i <= (r); i++) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); i--) #define decII(i, l, r) for(int i = (r) ; i >= (l); i--) #define inc(i, n) incID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec(i, n) decID(i, 0, n) #define dec1(i, n) decII(i, 1, n) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define PQ priority_queue #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define FOR(it, v) for(auto it = v.begin(); it != v.end(); ++it) #define RFOR(it, v) for(auto it = v.rbegin(); it != v.rend(); ++it) template bool setmin(T & a, T b) { if(b < a) { a = b; return true; } else { return false; } } template bool setmax(T & a, T b) { if(b > a) { a = b; return true; } else { return false; } } template bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } } template bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } } template T gcd(T a, T b) { return (b == 0 ? a : gcd(b, a % b)); } template T lcm(T a, T b) { return a / gcd(a, b) * b; } // ---- ---- LL MOD = -1; LL mod(LL x, LL m = MOD) { return (x % m + m) % m; } pair ex_gcd(LL a, LL b) { if(b == 0) { return MP(1, 0); } auto p = ex_gcd(b, a % b); return MP(p.SE, p.FI - (a / b) * p.SE); } LL inv(LL x, LL m = MOD) { assert(gcd(x, m) == 1); auto p = ex_gcd(x, m); return mod(p.FI, m); } // ---- LL val(LL e, LL v) { inc(i, min(2LL, e)) { v *= 3; } return v; } void mul(LL & e, LL & v, LL x) { if(x == 0) { return; } while(x % 3 == 0) { e++; x /= 3; } (v *= x) %= 9; } void div(LL & e, LL & v, LL x) { while(x % 3 == 0) { e--; x /= 3; } (v *= inv(x, 9)) %= 9; } int s[10000000]; int main() { int t; cin >> t; inc(q, t) { LL n, x, a, b, m; cin >> n >> x >> a >> b >> m; inc(i, n) { s[i] = (i == 0 ? x : ((s[i - 1] ^ a) + b) % m); } inc(i, n) { s[i] %= 10; } bool f = true; inc(i, n) { f &= (s[i] == 0); } if(f) { cout << 0 << "\n"; continue; } LL ans = 0, e = 0, v = 1; inc(i, n) { (ans += s[i] * val(e, v)) %= 9; mul(e, v, n - 1 - i); div(e, v, i + 1); } if(ans == 0) { ans = 9; } cout << ans << "\n"; } return 0; }