#include "testlib.h" #include using namespace std; struct Point { int x, y; }; static inline int sgn(long long v) { if (v < 0) return -1; if (v > 0) return 1; return 0; } int main(int argc, char* argv[]) { registerTestlibCmd(argc, argv); // Read input int N = inf.readInt(); int M = inf.readInt(); vector initial(M); for (int i = 0; i < M; i++) { initial[i].x = inf.readInt(); initial[i].y = inf.readInt(); } // State initialization vector> has_point(N, vector(N, false)); for (const auto& p : initial) { if (p.x < 0 || p.x >= N || p.y < 0 || p.y >= N) { quitf(_wa, "Initial point out of range: (%d, %d)", p.x, p.y); } has_point[p.x][p.y] = true; } // used[x][y][dir], dir in 0..7 as in DXY const int DXY[8][2] = { {1, 0}, {1, 1}, {0, 1}, {-1, 1}, {-1, 0}, {-1, -1}, {0, -1}, {1, -1}, }; vector>> used(N, vector>(N)); for (int x = 0; x < N; x++) for (int y = 0; y < N; y++) used[x][y].fill(false); // Read output long long K = ouf.readLong(0, 1000000000LL, "K"); vector> rects; rects.reserve((size_t)min(K, 1000000)); // reserve some, but not necessary for (long long t = 0; t < K; t++) { array r; for (int i = 0; i < 4; i++) { r[i].x = ouf.readInt(0, N - 1, "x"); r[i].y = ouf.readInt(0, N - 1, "y"); } // Check move legality (following Rust checker) // Ensure p2,p3,p4 contain dots; p1 does not contain a dot for (int i = 1; i <= 3; i++) { if (!has_point[r[i].x][r[i].y]) { quitf(_wa, "(%d, %d) does not contain a dot (turn: %lld)", r[i].x, r[i].y, t); } } if (has_point[r[0].x][r[0].y]) { quitf(_wa, "(%d, %d) already contains a dot (turn: %lld)", r[0].x, r[0].y, t); } long long dx01 = r[1].x - r[0].x; long long dy01 = r[1].y - r[0].y; long long dx03 = r[3].x - r[0].x; long long dy03 = r[3].y - r[0].y; if (dx01 * dx03 + dy01 * dy03 != 0) { quitf(_wa, "Illegal rectangle: edges are not perpendicular (turn: %lld)", t); } if (dx01 != 0 && dy01 != 0 && llabs(dx01) != llabs(dy01)) { quitf(_wa, "Illegal rectangle: not axis-aligned or 45 degrees (turn: %lld)", t); } if (!(r[2].x == r[1].x + dx03 && r[2].y == r[1].y + dy03)) { quitf(_wa, "Illegal rectangle: wrong 4th point (turn: %lld)", t); } // Check edges: obstacles and overlapping for (int i = 0; i < 4; i++) { int x = r[i].x, y = r[i].y; int tx = r[(i + 1) % 4].x, ty = r[(i + 1) % 4].y; int dx = sgn(tx - x), dy = sgn(ty - y); int dir = -1; for (int d = 0; d < 8; d++) { if (DXY[d][0] == dx && DXY[d][1] == dy) { dir = d; break; } } if (dir == -1) { quitf(_wa, "Illegal edge direction (turn: %lld)", t); } // Step along the edge from (x,y) to (tx,ty) while (x != tx || y != ty) { if (!(x == r[i].x && y == r[i].y)) { if (has_point[x][y]) { quitf(_wa, "There is an obstacle at (%d, %d) (turn: %lld)", x, y, t); } } if (used[x][y][dir]) { quitf(_wa, "Overlapped rectangles (turn: %lld)", t); } x += dx; y += dy; if (used[x][y][dir ^ 4]) { quitf(_wa, "Overlapped rectangles (turn: %lld)", t); } } } // Apply move has_point[r[0].x][r[0].y] = true; for (int i = 0; i < 4; i++) { int x = r[i].x, y = r[i].y; int tx = r[(i + 1) % 4].x, ty = r[(i + 1) % 4].y; int dx = sgn(tx - x), dy = sgn(ty - y); int dir = -1; for (int d = 0; d < 8; d++) { if (DXY[d][0] == dx && DXY[d][1] == dy) { dir = d; break; } } // dir must be valid due to previous checks while (x != tx || y != ty) { used[x][y][dir] = true; x += dx; y += dy; used[x][y][dir ^ 4] = true; } } rects.push_back(r); } // Ensure no extra tokens (optional) ouf.seekEof(); auto weight = [&](int x, int y) -> long long { long long cx = N / 2; long long dx = x - cx; long long dy = y - cx; return dx * dx + dy * dy + 1; }; // Compute score long long num = 0; for (const auto& p : initial) { num += weight(p.x, p.y); } for (const auto& r : rects) { num += weight(r[0].x, r[0].y); } long long den = 0; for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) den += weight(i, j); double scoreD = (1e6 * (double)(N * N) / (double)M) * ((double)num / (double)den); long long score = llround(scoreD); long long baseline_value = ans.readLong(); long long best_value = ans.readLong(); double score_ratio = max(0.0, min(1.0, (double)(score - baseline_value) / (best_value - baseline_value))); double unbounded_ratio = max(0.0, (double)(score - baseline_value) / (best_value - baseline_value)); quitp(score_ratio, "Value: %lld. Ratio: %.4f, RatioUnbounded: %.4f", score, score_ratio, unbounded_ratio); }