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Artifact 26bf2a688a29c24dfae5fef984a084b579fcc617


#include <iostream>
#include <sstream>
#include <iomanip>
#include <vector>
#include <string>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <iterator>
#include <functional>
#include <complex>
#include <queue>
#include <stack>
#include <cmath>
#include <cassert>
using namespace std;
typedef long long LL;
typedef long double LD;
typedef complex<LD> CMP;

static const int MODVAL = 1000000007; // must be prime for op/
struct mint
{
	int val;
	mint():val(0){}
	mint(int    x):val(x%MODVAL) {} // x>=0
	mint(size_t x):val(x%MODVAL) {} // x>=0
	mint(LL     x):val(x%MODVAL) {} // x>=0
};
mint& operator+=(mint& x, mint y) { return x = x.val+y.val; }
mint& operator-=(mint& x, mint y) { return x = x.val-y.val+MODVAL; }
mint& operator*=(mint& x, mint y) { return x = LL(x.val)*y.val; }
mint operator+(mint x, mint y) { return x+=y; }
mint operator-(mint x, mint y) { return x-=y; }
mint operator*(mint x, mint y) { return x*=y; }
mint operator-(mint x) { return mint(0) - x; }

vector<mint> vMul( const vector< vector<mint> >& A, const vector<mint>& B )
{
	const int n = A.size();

	vector<mint> C(n);
	for(int i=0; i<n; ++i)
		for(int j=0; j<n; ++j)
			C[i] += A[i][j] * B[j];
	return C;
}

vector< vector<mint> > mMul( const vector< vector<mint> >& A, const vector< vector<mint> >& B )
{
	const int n = A.size();

	vector< vector<mint> > C(n, vector<mint>(n));
	for(int i=0; i<n; ++i)
		for(int j=0; j<n; ++j) {
			mint Cij = 0;
			for(int k=0; k<n; ++k)
				Cij += A[i][k] * B[k][j];
			C[i][j] = Cij;
		}
	return C;
}

vector< vector<mint> > mPow( vector< vector<mint> > M, LL t ) // t>0
{
	vector< vector<mint> > R;
	for(; t; t>>=1, M=mMul(M,M))
		if( t&1 )
			R = (R.empty() ? M : mMul(R,M));
	return R;
}

class SplittingFoxes { public:
	int sum(long long n, int S_, int L_, int R_)
	{
		mint S(S_), L(L_), R(R_);

		enum {PR, PT, PL, PB, XR, XT, XL, XB, YR, YT, YL, YB, __};
		vector< vector<mint> > M(13, vector<mint>(13));
		M[PR][PR] = S; M[PR][YR] = S; M[PR][PT] = L; M[PR][PB] = R;
		M[PT][PT] = S; M[PT][XT] = S; M[PT][PL] = L; M[PT][PR] = R;
		M[PL][PL] = S; M[PL][YL] =-S; M[PL][PB] = L; M[PL][PT] = R;
		M[PB][PB] = S; M[PB][XB] =-S; M[PB][PR] = L; M[PB][PL] = R;
		M[XR][XR] = S; M[XR][__] = S; M[XR][XT] = L; M[XR][XB] = R;
		M[XT][XT] = S; M[XT][__] = 0; M[XT][XL] = L; M[XT][XR] = R;
		M[XL][XL] = S; M[XL][__] =-S; M[XL][XB] = L; M[XL][XT] = R;
		M[XB][XB] = S; M[XB][__] = 0; M[XB][XR] = L; M[XB][XL] = R;
		M[YR][YR] = S; M[YR][__] = 0; M[YR][YT] = L; M[YR][YB] = R;
		M[YT][YT] = S; M[YT][__] = S; M[YT][YL] = L; M[YT][YR] = R;
		M[YL][YL] = S; M[YL][__] = 0; M[YL][YB] = L; M[YL][YT] = R;
		M[YB][YB] = S; M[YB][__] =-S; M[YB][YR] = L; M[YB][YL] = R;
		M[__][__] = S+L+R;
		vector<mint> V(13);
		V[__] = 1;
		return vMul(mPow(M, n), V)[PR].val;
	}
};

// BEGIN CUT HERE
#include <ctime>
double start_time; string timer()
 { ostringstream os; os << " (" << int((clock()-start_time)/CLOCKS_PER_SEC*1000) << " msec)"; return os.str(); }
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v)
 { os << "{ ";
   for(typename vector<T>::const_iterator it=v.begin(); it!=v.end(); ++it)
   os << '\"' << *it << '\"' << (it+1==v.end() ? "" : ", "); os << " }"; return os; }
void verify_case(const int& Expected, const int& Received) {
 bool ok = (Expected == Received);
 if(ok) cerr << "PASSED" << timer() << endl;  else { cerr << "FAILED" << timer() << endl;
 cerr << "\to: \"" << Expected << '\"' << endl << "\tx: \"" << Received << '\"' << endl; } }
#define CASE(N) {cerr << "Test Case #" << N << "..." << flush; start_time=clock();
#define END	 verify_case(_, SplittingFoxes().sum(n, S, L, R));}
int main(){

CASE(0)
	long long n = 58LL; 
	int S = 2; 
	int L = 0; 
	int R = 0; 
	int _ = 0; 
END
CASE(1)
	long long n = 3LL; 
	int S = 1; 
	int L = 1; 
	int R = 0; 
	int _ = 1; 
END
CASE(2)
	long long n = 5LL; 
	int S = 1; 
	int L = 3; 
	int R = 2; 
	int _ = 34; 
END
CASE(3)
	long long n = 5LL; 
	int S = 1; 
	int L = 2; 
	int R = 3; 
	int _ = 999999973; 
END
CASE(4)
	long long n = 123456789LL; 
	int S = 987654321; 
	int L = 544; 
	int R = 544; 
	int _ = 0; 
END
CASE(5)
	long long n = 65536LL; 
	int S = 1024; 
	int L = 512; 
	int R = 4096; 
	int _ = 371473914; 
END
/*
CASE(6)
	long long n = LL; 
	int S = ; 
	int L = ; 
	int R = ; 
	int _ = ; 
END
CASE(7)
	long long n = LL; 
	int S = ; 
	int L = ; 
	int R = ; 
	int _ = ; 
END
*/
}
// END CUT HERE