#include using namespace std; #define rep(i,a,b) for(int i=a;i= mod ? x - mod : x; } template int add(int x, T... y) { return add(x, add(y...)); } int mul(int x, int y) { return 1LL * x * y % mod; } template int mul(int x, T... y) { return mul(x, mul(y...)); } int sub(int x, int y) { return add(x, mod - y); } int modpow(int a, long long b) { int ret = 1; while (b > 0) { if (b & 1) ret = 1LL * ret * a % mod; a = 1LL * a * a % mod; b >>= 1; } return ret; } int modinv(int a) { return modpow(a, mod - 2); } //----------------------------------------------------------------------------------- typedef long long ll; typedef vector Vec; typedef vector Mat; Vec mulMatVec(Mat a, Vec b) { int n = b.size(); Vec ret(n, 0); rep(i, 0, n) rep(j, 0, n) ret[i] = add(ret[i], mul(a[i][j], b[j])); return ret; } Mat mulMatMat(Mat a, Mat b) { int n = a.size(); Mat ret(n, Vec(n, 0)); rep(i, 0, n) rep(j, 0, n) rep(k, 0, n) ret[i][j] = add(ret[i][j], mul(a[i][k], b[k][j])); return ret; } Mat fastpow(Mat x, ll n) { Mat ret(x.size(), Vec(x.size(), 0)); rep(i, 0, x.size()) ret[i][i] = 1; while (0 < n) { if ((n % 2) == 0) { x = mulMatMat(x, x); n >>= 1; } else { ret = mulMatMat(ret, x); --n; } } return ret; } void printVec(Vec a) { cout << "[ "; rep(i, 0, a.size()) cout << a[i] << " "; cout << "]" << endl; } void printMat(Mat a) { rep(i, 0, a.size()) printVec(a[i]); } //----------------------------------------------------------------------------------- int N; ll C, A[80]; int main() { cin >> N >> C; rep(i, 0, N) cin >> A[i]; Mat ma(N, Vec(N, 0)); rep(i, 0, N) rep(j, i, N) ma[j][i] = A[i]; ma = fastpow(ma, C); Vec ve(N); rep(i, 0, N) ve[i] = 1; ve = mulMatVec(ma, ve); int ans = ve[N - 1]; rep(i, 0, N) ans = sub(ans, modpow(A[i], C)); cout << ans << endl; }