#include #include #include #define repeat(i,n) for (int i = 0; (i) < (n); ++(i)) typedef long long ll; using namespace std; ll powi(ll x, ll y, ll p) { // O(log y) assert (y >= 0); x = (x % p + p) % p; ll z = 1; for (ll i = 1; i <= y; i <<= 1) { if (y & i) z = z * x % p; x = x * x % p; } return z; } ll inv(ll x, ll p) { // p must be a prime, O(log p) assert ((x % p + p) % p != 0); return powi(x, p-2, p); } template T powt(T x, ll y, T unit, F f) { T z = unit; for (ll i = 1; i <= y; i <<= 1) { if (y & i) z = f(z, x); x = f(x, x); } return z; } const int mod = 1e9+7; vector > operator * (vector > const & p, vector > const & q) { int n = p.size(); vector > r(n, vector(n)); repeat (y,n) { repeat (z,n) { repeat (x,n) { r[y][x] += p[y][z] * q[z][x] % mod; r[y][x] %= mod; } } } return r; } vector operator * (vector > const & p, vector const & q) { int n = p.size(); vector r(n); repeat (y,n) { repeat (z,n) { r[y] += p[y][z] * q[z] % mod; r[y] %= mod; } } return r; } vector > unit_matrix(int n) { vector > e(n, vector(n)); repeat (i,n) e[i][i] = 1; return e; } vector > zero_matrix(int n) { vector > o(n, vector(n)); return o; } vector > powm(vector > const & f, ll k) { int n = f.size(); return powt(f, k, unit_matrix(n), [&](vector > const & a, vector > const & b) { return a * b; }); } int main() { int n; ll c; cin >> n >> c; vector a(n); repeat (i,n) cin >> a[i]; vector > f = zero_matrix(n); repeat (y,n) repeat (x,y+1) f[y][x] = a[x]; vector x(n, 1); vector y = powm(f, c) * x; ll ans = y[n-1]; repeat (i,n) ans = (ans - powi(a[i], c, mod) + mod) % mod; cout << ans << endl; return 0; }