// need #include #include // data structure #include #include #include #include #include #include #include #include #include //#include #include #include #include #include // etc #include #include #include #include #include #include #include #include // input #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); template void MACRO_VAR_Scan(T& t) { std::cin >> t; } templatevoid MACRO_VAR_Scan(First& first, Rest& ...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); } #define VEC_ROW(type, n, ...)std::vector __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int w_=0; w_ void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } templatevoid MACRO_VEC_ROW_Init(int n, First& first, Rest& ...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); } template void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; } templatevoid MACRO_VEC_ROW_Scan(int p, First& first, Rest& ...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); } #define VEC(type, c, n) std::vector c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector> c(m, std::vector(n));for(auto& R:c)for(auto& w:R)std::cin>>w; // output templatevoid MACRO_OUT(const T t) { std::cout << t; } templatevoid MACRO_OUT(const First first, const Rest...rest) { std::cout << first << " "; MACRO_OUT(rest...); } #define OUT(...) MACRO_OUT(__VA_ARGS__); #define FOUT(n, dist) std::cout<=(a);--w) #define REP(w, n) for(int w=0;w=0;--w) #define IN(a, x, b) (a<=x && x inline T CHMAX(T & a, const T b) { return a = (a < b) ? b : a; } template inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; } // test template using V = std::vector; template using VV = V>; template std::ostream& operator<<(std::ostream& os, std::pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } // type/const #define int ll using ll = long long; using ull = unsigned long long; using ld = long double; using PAIR = std::pair; using PAIRLL = std::pair; constexpr int INFINT = (1 << 30) - 1; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr ll INFLL = 1LL << 60; // 1.15x10^18 constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18 constexpr double EPS = 1e-10; constexpr int MOD = 1000000007; constexpr double PI = 3.141592653589793238462643383279; template void FILL(T(&a)[N], const T & val) { for (auto& x : a) x = val; } template void FILL(ARY(&a)[N][M], const T & val) { for (auto& b : a) FILL(b, val); } template void FILL(std::vector & a, const T & val) { for (auto& x : a) x = val; } template void FILL(std::vector> & a, const T & val) { for (auto& b : a) FILL(b, val); } // ------------>8------------------------------------->8------------ const signed FACT_MAX_N = 1200006; signed fact[FACT_MAX_N]; struct INIT_FACT { INIT_FACT() { fact[0] = 1; for (int i = 1; i < FACT_MAX_N; ++i) fact[i] = (long long)i * fact[i - 1] % MOD; } } init_fact; signed main() { INIT; VAR(int, d, l, r, k); int ld = 0, rd = 0; while ((1ll << ld) <= l) ++ld; while ((1ll << rd) <= r) ++rd; if ((rd - ld) % 2 != k % 2 || rd - ld > k) { OUT(0)BR; return 0; } int lcad = ld - (k - (rd - ld)) / 2; if (lcad <= 0) { OUT(0)BR; return 0; } int ans = 1; if (ld == rd) { if (lcad == ld) { OUT(0)BR; return 0; } (ans *= 1ll << lcad) %= MOD; (ans *= 1ll << (ld - lcad - 1)) %= MOD; (ans *= 1ll << (rd - lcad - 1)) %= MOD; (ans *= fact[(1ll << (rd - 1)) - 2]) %= MOD; } else { if (lcad == ld) { (ans *= 1ll << (rd - lcad)) %= MOD; } else { (ans *= 1ll << (rd - lcad - 1)) %= MOD; } (ans *= fact[(1ll << (rd - 1)) - 1]) %= MOD; } FOR(i, 1, d + 1) if (i != rd) { (ans *= fact[1ll << (i - 1)]) %= MOD; } OUT(ans)BR; return 0; }