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| // Circular Circles | |
| // Solution by Jacob Plachta | |
| using namespace std; | |
| template<typename T> T Abs(T x) { return(x < 0 ? -x : x); } | |
| template<typename T> 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); | |
| 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); | |
| } | |
| int N, M, E, K; | |
| int X[LIM], Y[LIM], I[LIM], W[LIM], EW[LIM]; | |
| LL sumR; | |
| multiset<int> CS[LIM]; // CS[i] = edge weights in circle i | |
| multiset<int> HS[LIM][2]; // HS[i][j] = edge weights in half j of circle i | |
| multiset<int> DS; // DS = circles' D values | |
| multiset<int> IS; // IS = inter-circle edge weights | |
| void ReadSeq(int* V, int N, int K, int mod) | |
| { | |
| int i, A, B, C; | |
| Fox(i, K) | |
| Read(V[i]); | |
| Read(A), Read(B), Read(C); | |
| FoxI(i, K, N - 1) | |
| V[i] = ((LL)A * V[i - 2] + (LL)B * V[i - 1] + C) % mod; | |
| } | |
| void UpdateSet(multiset<int>& S, int v1, int v2) | |
| { | |
| assert(*S.find(v1) == v1); | |
| S.erase(S.find(v1)); | |
| S.insert(v2); | |
| } | |
| int GetCircleR(int i) { return(*CS[i].rbegin()); } | |
| int GetCircleD(int i) { return(*HS[i][0].rbegin() + *HS[i][1].rbegin() - *CS[i].rbegin()); } | |
| int GetHalf(int i, int j) { return(X[i] <= j && j < Y[i] ? 0 : 1); } | |
| void UpdateCircleEdge(int i, int j, int w1, int w2) | |
| { | |
| int r1 = GetCircleR(i), d1 = GetCircleD(i); | |
| UpdateSet(CS[i], w1, w2); | |
| UpdateSet(HS[i][GetHalf(i, j)], w1, w2); | |
| int r2 = GetCircleR(i), d2 = GetCircleD(i); | |
| sumR += r2 - r1; | |
| UpdateSet(DS, d1, d2); | |
| } | |
| int ProcessCase() | |
| { | |
| int i, j; | |
| LL sumW; | |
| // init | |
| DS.clear(), IS.clear(); | |
| Fox(i, N) | |
| CS[i].clear(), HS[i][0].clear(), HS[i][1].clear(); | |
| // input | |
| Read(N), Read(M), Read(E), Read(K); | |
| ReadSeq(X, N, K, M); | |
| ReadSeq(Y, N, K, M); | |
| ReadSeq(I, E, K, N * M + N); | |
| ReadSeq(W, E, K, INF); | |
| // initialize edge info | |
| sumW = N * M + N; | |
| sumR = N; | |
| Fox(i, N * M + N) | |
| EW[i] = 1; | |
| Fox(i, N) | |
| { | |
| if (X[i] > Y[i]) | |
| swap(X[i], Y[i]); | |
| Fox(j, 2) | |
| HS[i][j].insert(0); | |
| Fox(j, M) | |
| { | |
| CS[i].insert(1); | |
| HS[i][GetHalf(i, j)].insert(1); | |
| } | |
| DS.insert(GetCircleD(i)); | |
| IS.insert(1); | |
| } | |
| // process events | |
| int ans = 1; | |
| Fox(i, E) | |
| { | |
| j = I[i]; | |
| int w1 = EW[j], w2 = W[i]; | |
| EW[j] = w2; | |
| sumW += w2 - w1; | |
| if (j < N * M) | |
| UpdateCircleEdge(j / M, j % M, w1, w2); | |
| else | |
| UpdateSet(IS, w1, w2); | |
| LL cur = sumW - sumR - max(*DS.rbegin(), *IS.rbegin()); | |
| ans = ans * (cur % MOD) % MOD; | |
| } | |
| return(ans); | |
| } | |
| int main() | |
| { | |
| int T, t; | |
| Read(T); | |
| Fox1(t, T) | |
| printf("Case #%d: %d\n", t, ProcessCase()); | |
| return(0); | |
| } |