#include #include #include #include #include using namespace std; const int T_INF = 0x3f3f3f3f; const int INF = T_INF - 1; const int LIM = 1000000; const int LIM2 = 2100000; const int MOD = 1000000007; struct Event { int v, t, r1, c1, r2, c2; Event(int v, int r, int c) : v(v), t(0), r1(r), c1(c) {} Event(int v, int r1, int c1, int r2, int c2) : v(v), t(1), r1(r1), c1(c1), r2(r2), c2(c2) {} bool operator<(const Event& o) const { return make_pair(v, t) < make_pair(o.v, o.t); } }; int N, M; vector E; bool G[LIM][3]; set G0[3], G1[3]; // tree[r1, r2][a, b] = distance from (r1, a) to (r2, b), going only right. int sz, tree[LIM2][3][3]; int mk, memK[LIM2][3][3]; long long mem[LIM2][3][3]; long long query(int i, int ir1, int ir2, int r1, int r2, int a, int b) { if (r1 == ir1 && ir2 == r2) { // Full node? return tree[i][a][b]; } long long& mm = mem[i][a][b]; if (memK[i][a][b] == mk) { // Already memoized? return mm; } memK[i][a][b] = mk; i <<= 1; int m = (ir1 + ir2) >> 1; if (r2 <= m) { // All on left? return mm = query(i, ir1, m, r1, r2, a, b); } if (r1 > m) { // All on right? return mm = query(i + 1, m + 1, ir2, r1, r2, a, b); } // Consider all possible intermediate columns. long long ans = INF; for (int c = 0; c < 3; c++) { ans = min( ans, query(i, ir1, m, r1, m, a, c) + 1 + query(i + 1, m + 1, ir2, m + 1, r2, c, b) ); } return mm = ans; } long long query_path(int r1, int c1, int r2, int c2) { long long ans = INF; // Consider all possible intermediate column pairs (a, b). mk++; for (int a = 0; a < 3; a++) { for (int b = 0; b < 3; b++) { int d1 = tree[sz + r1][c1][a], d2 = tree[sz + r2][c2][b]; if (d1 > INF && abs(a - c1) == 2 && G[r1][c1] && G[r1][a]) { int i = *prev(G1[1].lower_bound(r1)); if ( i >= 0 && i > *prev(G0[0].lower_bound(r1)) && i > *prev(G0[2].lower_bound(r1)) ) { d1 = (r1 - i + 1) * 2; } } if (d2 > INF && abs(b - c2) == 2 && G[r2][c2] && G[r2][b]) { int i = *G1[1].lower_bound(r2); if ( i < N && i < *G0[0].lower_bound(r2) && i < *G0[2].lower_bound(r2) ) { d2 = (i - r2 + 1) * 2; } } ans = min(ans, d1 + query(1, 0, sz - 1, r1, r2, a, b) + d2); } } return ans == INF ? 1 : ans; } void add_cell(int r, int c) { G[r][c] = 1; G0[c].erase(r); G1[c].insert(r); // Update affected leaf node in segment tree. int i = sz + r; for (int a = 0; a < 3; a++) { for (int b = a; b < 3; b++) { if (!G[r][b]) { break; } tree[i][a][b] = tree[i][b][a] = b - a; } } // Update ancestors in segment tree. while (i > 1) { i >>= 1; for (int a = 0; a < 3; a++) { for (int b = 0; b < 3; b++) { for (int c = 0; c < 3; c++) { tree[i][a][b] = min( tree[i][a][b], tree[i << 1][a][c] + 1 + tree[(i << 1) + 1][c][b] ); } } } } } int solve() { E.clear(); for (int c = 0; c < 3; c++) { G0[c].clear(); G1[c].clear(); } // Input. cin >> N >> M; for (int r = 0; r < N; r++) { for (int c = 0; c < 3; c++) { int a; cin >> a; E.push_back(Event(a, r, c)); G0[c].insert(r); } } for (int i = 0; i < M; i++) { int r1, c1, r2, c2, l; cin >> r1 >> c1 >> r2 >> c2 >> l; if (r1 > r2) { swap(r1, r2); swap(c1, c2); } E.push_back(Event(l, r1 - 1, c1 - 1, r2 - 1, c2 - 1)); } // Init grid / segment tree. memset(G, 0, sizeof(G[0]) * N); for (int c = 0; c < 3; c++) { G0[c].insert(-1); G1[c].insert(-1); G0[c].insert(N); G1[c].insert(N); } for (sz = 1; sz < N; sz <<= 1); memset(tree, T_INF, sizeof(tree[0]) * sz * 2); // Process events. int ans = 1; sort(E.begin(), E.end()); for (auto e : E) { if (!e.t) { add_cell(e.r1, e.c1); } else { ans = ans * query_path(e.r1, e.c1, e.r2, e.c2) % MOD; } } return ans; } int main() { int T; cin >> T; for (int t = 1; t <= T; t++) { cout << "Case #" << t << ": " << solve() << endl; } return 0; }