// Mail Security // Solution by Jacob Plachta #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define LL long long #define LD long double #define PR pair #define Fox(i,n) for (i=0; i=0; i--) #define FoxR1(i,n) for (i=n; i>0; i--) #define FoxRI(i,a,b) for (i=b; i>=a; i--) #define Foxen(i,s) for (i=s.begin(); i!=s.end(); i++) #define Min(a,b) a=min(a,b) #define Max(a,b) a=max(a,b) #define Sz(s) int((s).size()) #define All(s) (s).begin(),(s).end() #define Fill(s,v) memset(s,v,sizeof(s)) #define pb push_back #define mp make_pair #define x first #define y second template T Abs(T x) { return(x < 0 ? -x : x); } template T Sqr(T x) { return(x * x); } string plural(string s) { return(Sz(s) && s[Sz(s) - 1] == 'x' ? s + "en" : s + "s"); } const int INF = (int)1e9; const LD EPS = 1e-12; const LD PI = acos(-1.0); #define GETCHAR getchar_unlocked bool Read(int& x) { char c, r = 0, n = 0; x = 0; for (;;) { c = GETCHAR(); if ((c < 0) && (!r)) return(0); if ((c == '-') && (!r)) n = 1; else if ((c >= '0') && (c <= '9')) x = x * 10 + c - '0', r = 1; else if (r) break; } if (n) x = -x; return(1); } #define LIM 1000000 int N, M, K, X; int S[LIM], P[LIM]; void ReadSeq(int* V, int N, int K) { int i, A, B, C, D; Fox(i, K) Read(V[i]); Read(A), Read(B), Read(C), Read(D); FoxI(i, K, N - 1) V[i] = ((LL)A * V[i - 2] + (LL)B * V[i - 1] + C) % D + 1; } bool Valid(int np) { int i; // assemble list of relevant objects vector O; FoxR(i, N) // largest np mailboxes, plus any large enough for a key if (O.size() < np || S[i] >= X) O.pb(mp(S[i], 1)); int nb = Sz(O); Fox(i, np) // smallest np packages O.pb(mp(P[i], 0)); sort(All(O), std::greater<>()); // iterate over objects by non-increasing capacity/size multiset AC; // available pairs of (capacity % X, capacity) LL nk = 0; for (auto o : O) { // mailbox? if (o.y) { nk += o.x / X; AC.insert(mp(o.x % X, o.x)); continue; } // package if (AC.empty()) return(0); auto I = AC.lower_bound(mp(o.x % X, 0)); if (I == AC.end()) I = AC.begin(); int c = I->y; AC.erase(I); nk += (c - o.x) / X - c / X; } return(nk >= nb - 1); } int ProcessCase() { // input Read(N), Read(M), Read(K), Read(X); ReadSeq(S, N, K); ReadSeq(P, M, K); // sort objects by capacity/size sort(S, S + N); sort(P, P + M); // binary search int r1 = 0, r2 = min(N, M); while (r1 < r2) { int m = (r1 + r2 + 1) / 2; if (Valid(m)) r1 = m; else r2 = m - 1; } return(r1); } int main() { int T, t; Read(T); Fox1(t, T) printf("Case #%d: %d\n", t, ProcessCase()); return(0); }