#include #include #include #include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 1e5 + 5; const int mod = 1e9 + 7; int n, a, b, winner, cnt_le_a, cnt_le_b, cnt_le_2a, cnt_rest, ans_winner, ans_first, ans_second; int fac[N], inv[N], fac_inv[N]; std::vector v; enum Winner { Alice = 0, Bob = 1, }; int C(int n, int m) { if (n < m || n < 0 || m < 0) return 0; return static_cast(fac[n]) * fac_inv[m] % mod * fac_inv[n - m] % mod; } constexpr int binpow(int a, int b, int mod = ::mod) { int res = 1; a %= mod; while (b) { if (b & 1) res = static_cast(res) * a % mod; a = static_cast(a) * a % mod; b >>= 1; } return res; } int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); fac[0] = 1; for (int i = 1; i < N; i++) { fac[i] = static_cast(fac[i - 1]) * i % mod; } inv[0] = inv[1] = 1; for (int i = 2; i < N; i++) { inv[i] = static_cast(mod - (mod / i)) * inv[mod % i] % mod; } fac_inv[0] = fac_inv[1] = 1; for (int i = 2; i < N; i++) { fac_inv[i] = static_cast(fac_inv[i - 1]) * inv[i] % mod; } cin >> n >> a >> b; if (a < b) { winner = Winner::Alice; } else { std::swap(a, b); winner = Winner::Bob; } std::copy_n(std::istream_iterator(cin), n, std::back_inserter(v)); std::transform(v.begin(), v.end(), v.begin(), std::bind(std::modulus(), std::placeholders::_1, a + b)); std::for_each(v.begin(), v.end(), [&](int x) { if (x < a) cnt_le_a++; // [1, a) else if (x < b) cnt_le_b++; // [a, b) else if (x < 2 * a) cnt_le_2a++; // [b, 2a) else cnt_rest++; // [2a, a + b) }); for (int i = 0; i <= cnt_le_2a; i++) { if (i % 2 == 0) { ans_first = (static_cast(ans_first) + static_cast(C(cnt_le_2a, i)) * cnt_rest % mod) % mod; ans_second = (static_cast(ans_second) + C(cnt_le_2a, i)) % mod; } else { // i % 2 == 1 ans_first = (static_cast(ans_first) + C(cnt_le_2a, i)) % mod; } } ans_first = static_cast(ans_first) * binpow(2, cnt_le_a) % mod; ans_second = static_cast(ans_second) * binpow(2, cnt_le_a) % mod; ans_winner = ((static_cast(binpow(2, n)) - ans_first - ans_second) % mod + mod) % mod; if (winner == Winner::Alice) { cout << ans_winner << ' ' << 0 << ' ' << ans_first << ' ' << ans_second << endl; } else { cout << 0 << ' ' << ans_winner << ' ' << ans_first << ' ' << ans_second << endl; } return 0; }