#include #define rep(i,a,b) for(int i=a;i=b;i--) #define fore(i,a) for(auto &i:a) #define all(x) (x).begin(),(x).end() //#pragma GCC optimize ("-O3") using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60; templatebool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } templatebool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } //--------------------------------------------------------------------------------------------------- template struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) { } ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } return ModInt(u); } bool operator==(ModInt that) const { return x == that.x; } bool operator!=(ModInt that) const { return x != that.x; } ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; } }; template ostream& operator<<(ostream& st, const ModInt a) { st << a.get(); return st; }; template ModInt operator^(ModInt a, unsigned long long k) { ModInt r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; } template struct Comb { vector fac, ifac; Comb(){fac.resize(FAC_MAX,1);ifac.resize(FAC_MAX,1);rep(i,1,FAC_MAX)fac[i]=fac[i-1]*i; ifac[FAC_MAX-1]=T(1)/fac[FAC_MAX-1];rrep(i,FAC_MAX-2,1)ifac[i]=ifac[i+1]*T(i+1);} T aPb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b]; } T aCb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b] * ifac[b]; } T nHk(int n, int k) { if (n == 0 && k == 0) return T(1); if (n <= 0 || k < 0) return 0; return aCb(n + k - 1, k); } // nHk = (n+k-1)Ck : n is separator T pairCombination(int n) {if(n%2==1)return T(0);return fac[n]*ifac[n/2]/(T(2)^(n/2));} // combination of paris for n }; typedef ModInt<1000000007> mint; /*---------------------------------------------------------------------------------------------------             ∧_∧       ∧_∧  (´<_` )  Welcome to My Coding Space!      ( ´_ゝ`) /  ⌒i @hamayanhamayan     /   \    | |     /   / ̄ ̄ ̄ ̄/  |   __(__ニつ/  _/ .| .|____      \/____/ (u ⊃ ---------------------------------------------------------------------------------------------------*/ int D, L, R, K; Comb com; int lft[21], rht[21]; int cnt[21]; //--------------------------------------------------------------------------------------------------- void _main() { cin >> D >> L >> R >> K; lft[1] = rht[1] = 1; rep(d, 1, D) { lft[d + 1] = lft[d] * 2; rht[d + 1] = lft[d + 1] * 2 - 1; } rep(d, 1, D + 1) cnt[d] = rht[d] - lft[d] + 1; mint ans = 0; rep(dl, 1, D + 1) rep(dr, 1, D + 1) rep(dlca, 1, D + 1) { if (dlca > dl) continue; if (dlca > dr) continue; if ((dl - dlca) + (dr - dlca) != K) continue; if (lft[dl] <= L and L <= rht[dl] and lft[dr] <= R and R <= rht[dr]) { mint delta = 1; if (dl == dr) { delta *= cnt[dlca]; delta *= cnt[dl] / cnt[dlca]; delta *= cnt[dl] / cnt[dlca]; delta /= 2; } else if (dl == dlca) { delta *= cnt[dlca]; delta *= cnt[dr] / cnt[dlca]; } else if (dr == dlca) { delta *= cnt[dlca]; delta *= cnt[dl] / cnt[dlca]; } else { delta *= cnt[dlca]; delta *= cnt[dl] / cnt[dlca]; delta *= cnt[dr] / cnt[dlca]; delta /= 2; } rep(d, 1, D + 1) { if (dl == d and dr == d) delta *= com.fac[cnt[d] - 2]; else if (dl == d or dr == d) delta *= com.fac[cnt[d] - 1]; else delta *= com.fac[cnt[d]]; } ans += delta; } } cout << ans << endl; }