#include "bits/stdc++.h" using namespace std; #define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i)) #define rep(i,j) FOR(i,0,j) #define each(x,y) for(auto &(x):(y)) #define mp make_pair #define all(x) (x).begin(),(x).end() #define debug(x) cout<<#x<<": "<<(x)< pii; typedef vector vi; typedef vector vll; template class ModInt{ public: ModInt():value(0){} ModInt(long long val):value((int)(val<0?MOD+val%MOD:val%MOD)){ } ModInt& operator+=(ModInt that){ value = value+that.value; if(value>=MOD)value-=MOD; return *this; } ModInt& operator-=(ModInt that){ value -= that.value; if(value<0)value+=MOD; return *this; } ModInt& operator*=(ModInt that){ value = (int)((long long)value * that.value % 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 pow(long long k) const{ if(value == 0)return 0; ModInt n = *this, res = 1; while(k){ if(k & 1)res *= n; n *= n; k >>= 1; } return res; } ModInt inverse() const { long long a = value, b = MOD, u = 1, v = 0; while(b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return ModInt(u); } int toi() const{ return value; } private: int value; }; typedef ModInt<1000000007> mint; ostream& operator<<(ostream& os, const mint& x){ os << x.toi(); return os; } template class Matrix{ public: int n, m; Matrix(){ } Matrix(int n_, int m_):n(n_), m(m_), A(n, vector(m)){ } #define ITER(a,b) for(int i=0;i 0){ if(k & 1) C *= D; D *= D; k >>= 1; } return C; } Val& operator()(int i, int j){ return A[i][j]; } vector& operator[](int i){ return A[i]; } vector mulVec(const vector & u){ assert((int)u.size() == m); Matrix v(m, 1); for(int i = 0; i < m; ++i)v[i][0] = u[i]; v = (*this)*v; vector w(n); for(int i = 0; i < n; ++i)w[i] = v[i][0]; return w; } private: vector> A; }; typedef Matrix mat; int main(){ ios::sync_with_stdio(false); cin.tie(0); int n; ll c; vll a; while(cin >> n >> c) { a = vll(n); rep(i, n)cin >> a[i]; mat A(n, n); rep(i, n) { rep(j, i + 1)A[i][j] = a[i]; } A = A^(c-1); vector v(n); rep(i, n)v[i] = a[i]; v = A.mulVec(v); mint ans = 0; rep(i, n) { ans += v[i]; ans -= mint(a[i]).pow(c); } cout << ans << endl; } }