#include #include #include #include using namespace std; using ll = long long; using ull = unsigned long long; constexpr ll TEN(int n) { return (n==0) ? 1 : 10*TEN(n-1); } template T pow(T x, ll n) { T r = 1; while (n) { if (n & 1) r *= x; x *= x; n >>= 1; } return r; } template struct ModInt { uint v; ModInt() : v{0} {} ModInt(ll v) : v{normS(v%MD+MD)} {} static uint normS(const uint &x) {return (x struct Matrix { vector> d; int N, M; Matrix(int N, int M) : N(N), M(M) { d.resize(N); for (int i = 0; i < N; i++) { d[i] = vector(M); } } vector& operator[](int p) {return d[p];} const vector& operator[](int p) const {return d[p];} const Matrix operator+(const Matrix &right) const { assert(right.N == N && right.M == M); Matrix res(N, M); for (int i = 0; i < N; i++) { for (int j = 0; j < M; j++) { res[i][j] = d[i][j]+right[i][j]; } } return res; } const Matrix operator*(const Matrix &right) const { assert(M == right.N); Matrix res(N, right.M), r(right.M, right.N); for (int i = 0; i < right.M; i++) { for (int j = 0; j < right.N; j++) { r[i][j] = right[j][i]; } } for (int i = 0; i < N; i++) { for (int j = 0; j < right.M; j++) { for (int k = 0; k < M; k++) { res[i][j] += d[i][k]*r[j][k]; } } } return res; } const Matrix operator*(const D &x) const { Matrix res(N, M); for (int i = 0; i < N; i++) { for (int j = 0; j < M; j++) { res[i][j] = d[i][j]*x; } } return res; } }; template Matrix pow(Matrix x, ll p) { assert(x.N == x.M); int N = x.N; Matrix res(N, N), buf = x; for (int i = 0; i < N; i++) res[i][i] = T(1); while(p != 0) { if (p % 2) { res = res*buf; } p /= 2; buf = buf*buf; } return res; } using Mint = ModInt; using Mat = Matrix; int main() { int n; ll c; cin >> n >> c; Mint ans = 0; Mat v(n, 1); for (int i = 0; i < n; i++) { int d; cin >> d; v[i][0] = d; ans -= pow(v[i][0], c); } Mat m(n, n); for (int i = 0; i < n; i++) { for (int j = 0; j <= i; j++) { m[i][j] = v[i][0]; } } v = pow(m, c-1)*v; for (int i = 0; i < n; i++) { ans += v[i][0]; } /* for (int i = 0; i < n; i++) { cout << v[i][0].v << ", "; } cout << endl;*/ cout << ans.v << endl; return 0; }