#include #define FOR(i,a,b) for (int i=(a);i<(b);i++) #define FORR(i,a,b) for (int i=(a);i>=(b);i--) #define pb push_back #define pcnt __builtin_popcount #define show(x) cout<<#x<<" = "< pii; typedef vector vi; typedef vector vvi; typedef vector vpii; typedef set si; typedef pair pll; typedef vector vl; typedef vector vvl; typedef vector vpll; typedef set sl; typedef __int128_t lll; typedef pair plll; typedef vector vlll; templatestring join(vector&v) {stringstream s;FOR(i,0,sz(v))s<<' '<b)swap(a,b);for(;a>0;b%=a,swap(a,b));return b;} int modpow(ll a,ll n,int m){if(a==0)return a;ll p=1;for(;n>0;n/=2,a=a*a%m)if(n&1)p=p*a%m;return(int)p;} void dout(double d){printf("%.12f\n",d);} const int iinf = 1e9; const ll linf = 1e18; const int mod = 1e9+7; const double pi = acos(-1); const double eps = 1e-10; int fac[3400000][2], inv[10] = {0, 1, 5, 0, 7, 2, 0, 4, 8, 0}; ll comb(int n, int m){ int nm, _n, _m, _nm; nm = n-m; _n = n/3; _m = m/3; _nm = nm/3; ll k = fac[_n][1] - fac[_m][1] - fac[_nm][1]; if(k > 1) return 0; ll ret = fac[_n][0] * inv[fac[_m][0]] * inv[fac[_nm][0]]; FOR(i, _n*3+1, n+1)ret *= i%9; FOR(i, _m*3+1, m+1)ret *= inv[i%9]; FOR(i, _nm*3+1, nm+1)ret *= inv[i%9]; if(k > 0) ret *= 3; return ret%9; } main(){ cin.tie(0); ios::sync_with_stdio(false); fac[0][0] = 1; FOR(i, 1, 3400000){ int j = i*3, c = 0; while(j%3==0){ j /= 3; c++; } fac[i][0] = fac[i-1][0] * (i*3-2) % 9 * (i*3-1) % 9 * j % 9; fac[i][1] = fac[i-1][1] + c; } int t; ll n, x, a, b, m; ll d, ans = 0; bool az = true; cin >> t; FOR(i, 0, t){ cin >> n >> x >> a >> b >> m; ans = 0; az = true; FOR(j, 0, n){ d = x % 10; if(d > 0) az = false; ans += comb(n-1, j) * d; x = ((x^a) + b ) % m; } ans %= 9; if(ans == 0 && !az) ans = 9; cout << ans << "\n"; } return 0; }