#include using namespace std; using lint = long long; template using V = vector; template using VV = V< V >; template struct ModInt { using M = ModInt; unsigned v; constexpr ModInt() : v(0) {} constexpr ModInt(unsigned _v, int) : v(_v) {} template ModInt(const Z& a) : v((a < 0 ? P - -a % P : a) % P) {} static constexpr unsigned p() { return P; } M operator+() const { return *this; } M operator-() const { return {v ? P - v : 0, 0}; } explicit operator bool() const noexcept { return v; } bool operator!() const noexcept { return !(bool)*this; } M& operator*=(M r) { v = (uint64_t)v * r.v % P; return *this; } M& operator/=(M r) { return *this *= r.inv(); } M& operator+=(M r) { if ((v += r.v) >= P) v -= P; return *this; } M& operator-=(M r) { if ((v += P - r.v) >= P) v -= P; return *this; } friend M operator*(M l, M r) { return M(l) *= r; } friend M operator/(M l, M r) { return M(l) /= r; } friend M operator+(M l, M r) { return M(l) += r; } friend M operator-(M l, M r) { return M(l) -= r; } friend ostream& operator<<(ostream& os, M r) { return os << r.v; } friend bool operator==(M l, M r) { return l.v == r.v; } friend bool operator!=(M l, M r) { return !(l == r); } M inv() const { int a = v, b = P, x = 1, u = 0; while (b) { int q = a / b; swap(a -= q * b, b); swap(x -= q * u, u); } assert(a == 1); return x; } template M pow(Z n) const { if (n < 0) return pow(-n).inv(); M res = 1; for (M a = *this; n; a *= a, n >>= 1) if (n & 1) res *= a; return res; } }; using Mint = ModInt<(unsigned)1e9 + 7>; constexpr int N = 1 << 21; struct Fact { V v; Fact(int n) : v(n + 1, 1) { for (int i = 1; i <= n; ++i) v[i] = i * v[i - 1]; } Mint operator[](int i) const { return v[i]; } } fact(N); struct Finv { V v; Finv(int n) : v(n + 1, 1 / fact[n]) { for (int i = n; i; --i) v[i - 1] = i * v[i]; } Mint operator[](int i) const { return v[i]; } } finv(N); struct Minv { V v; Minv(int n) : v(n) { for (int i = 1; i <= n; ++i) v[i - 1] = fact[i - 1] * finv[i]; } Mint operator[](int i) const { return v[i - 1]; } } minv(N); Mint comb(int n, int r) { if (r < 0 or r > n) return 0; return fact[n] * finv[r] * finv[n - r]; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int d, l, r, k; cin >> d >> l >> r >> k; l = __lg(l); r = __lg(r); if (l > r) swap(l, r); if (k < r - l or k > l + r or (k - (r - l)) & 1) { return cout << 0 << '\n', 0; } cerr << d << ' ' << l << ' ' << r << ' ' << k << '\n'; Mint res = 1; for (int i = 0; i < d; ++i) { res *= fact[1 << i]; } k = (k - (r - l)) / 2; k = max(k - 1, 0); if (l == r) { res *= minv[(1 << l) - 1]; res *= 1 << k; } else { res *= minv[1 << l]; res *= 1 << k; } cout << res << '\n'; }