#include using namespace std; using LL = long long; using ULL = unsigned long long; #define rep(i,n) for(int i=0; i<(n); i++) const ULL M = 1000000007; const int matrix_size = 3; struct Matrix { ULL X[matrix_size][matrix_size] = {}; static Matrix id() { Matrix res; rep(i, matrix_size) res.X[i][i] = 1; return res; } }; Matrix operator*(Matrix l, Matrix r) { Matrix res; rep(i, matrix_size) rep(j, matrix_size) rep(k, matrix_size) res.X[i][j] = (res.X[i][j] + l.X[i][k] * r.X[k][j]) % M; return res; } Matrix operator^(Matrix l, ULL i) { if (i == 0) return Matrix::id(); auto res = (l * l) ^ (i / 2); if (i % 2 == 1) res = res * l; return res; } int main() { ULL N, I; cin >> N >> I; Matrix X = { { {1,1,0},{1,0,0},{0,0,1} } }; X = X ^ I; X.X[0][2] = 1; X = X ^ (N + 1); cout << X.X[1][2] << endl; return 0; }