#include using namespace std; typedef long long int64; const int mod = 1e9 + 7; inline int64 modPow(int64 x, int64 n) { if(n == 0) return (1); int64 ret = modPow(x, n / 2); (ret *= ret) %= mod; if(n & 1) (ret *= x) %= mod; return (ret); } struct Matrix { vector< vector< int > > A; Matrix() {} Matrix(size_t n, size_t m) : A(n, vector< int >(m, 0)) {} Matrix(size_t n) : A(n, vector< int >(n, 0)) {}; size_t height() const { return (A.size()); } size_t width() const { return (A[0].size()); } inline const vector< int > &operator[](int k) const { return (A.at(k)); } inline vector< int > &operator[](int k) { return (A.at(k)); } static Matrix I(size_t n) { Matrix mat(n); for(int i = 0; i < n; i++) mat[i][i] = 1; return (mat); } Matrix &operator+=(const Matrix &B) { size_t n = height(), m = width(); assert(n == B.height() && m == B.width()); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) ((*this)[i][j] += B[i][j]) %= mod; return (*this); } Matrix &operator-=(const Matrix &B) { size_t n = height(), m = width(); assert(n == B.height() && m == B.width()); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) ((*this)[i][j] += (mod - B[i][j])) %= mod; return (*this); } Matrix &operator*=(const Matrix &B) { size_t n = height(), m = B.width(), p = width(); assert(p == B.height()); vector< vector< int > > C(n, vector< int >(m, 0)); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) for(int k = 0; k < p; k++) C[i][j] = (C[i][j] + 1LL * (*this)[i][k] * B[k][j]) % mod; A.swap(C); return (*this); } Matrix &operator^=(long long k) { Matrix B = Matrix::I(height()); while(k > 0) { if(k & 1) B *= *this; *this *= *this; k >>= 1LL; } A.swap(B.A); return (*this); } Matrix operator+(const Matrix &B) const { return (Matrix(*this) += B); } Matrix operator-(const Matrix &B) const { return (Matrix(*this) -= B); } Matrix operator*(const Matrix &B) const { return (Matrix(*this) *= B); } Matrix operator^(const long long k) const { return (Matrix(*this) ^= k); } friend ostream &operator<<(ostream &os, Matrix &p) { size_t n = p.height(), m = p.width(); for(int i = 0; i < n; i++) { os << "["; for(int j = 0; j < m; j++) { os << p[i][j] << (j + 1 == m ? "]\n" : ","); } } return (os); } }; int main() { int64 n, c; cin >> n >> c; int64 ret = 0; Matrix v(n, 1); for(int i = 0; i < n; i++) { int a; cin >> a; v[i][0] = a; (ret += mod - modPow(v[i][0], c)) %= mod; } Matrix m(n); for(int i = 0; i < n; i++) { for(int j = 0; j <= i; j++) { m[i][j] = v[i][0]; } } v = (m ^ (c - 1)) * v; for(int i = 0; i < n; i++) { (ret += v[i][0]) %= mod; } cout << ret << endl; }