#include #include #include #include #include using namespace std; void validator(int N, const vector &A, const vector &B) { assert(A.size() == N); assert(B.size() == N); for (auto &x : A) assert(x >= 0 and x <= 10000); for (auto &x : B) assert(x >= 0 and x <= 10000); bitset<10000 * 2 + 1> bs; for (int i = 0; i < N - 1; ++i) { assert(A[i] < A[i + 1]); assert(B[i] < B[i + 1]); } for (auto a : A) { for (auto b : A) bs.set(a + b); } for (auto a : B) { for (auto b : B) { if (bs[a + b]) { cerr << a << ' ' << b << endl; throw; } } } } int main() { cin.tie(nullptr), ios::sync_with_stdio(false); int N; cin >> N; if (N == 4) { puts("1 2 3 120"); puts("30 31 32 33"); return 0; } int p = 3; // [0, 0, 0, 0, ..., 0] vs. [1, 1, 1, 1, ..., -(N - 1)] // while ((N - 2) % p == 0) ++p; vector A{3}, B{7}; if ((N - 2) % p == 0) A[0]++; for (int i = 10; i <= 10000; ++i) { if (i % p == 0 and int(A.size()) < N) A.push_back(i); if (i % p == 1 and int(B.size()) < N - 1) B.push_back(i); } B.push_back(accumulate(A.begin(), A.end(), 0LL) - accumulate(B.begin(), B.end(), 0LL)); while (B.back() > 10000) { for (int i = N - 1; i >= 0; --i) { while (A[i] + 3 < 9900 and A[i] + 3 < B.back() - 3 and B.back() > 10000) { if (i + 1 < N and A[i] + 3 >= A[i + 1]) break; A[i] += 3; B.back() -= 3; } } } for (int i = 0; i < N; ++i) cout << A[i] << (i + 1 == N ? '\n' : ' '); for (int i = 0; i < N; ++i) cout << B[i] << (i + 1 == N ? '\n' : ' '); validator(N, A, B); // cerr << p << endl; // cerr << A.size() << ' ' << accumulate(A.begin(), A.end(), 0LL) << '\n'; // cerr << B.size() << ' ' << accumulate(B.begin(), B.end(), 0LL) << '\n'; }