#include using namespace std; using lint = long long; template using V = vector; template using VV = V< V >; template struct ModInt { using M = ModInt; unsigned v; ModInt() : v(0) {} template ModInt(Z x) : v(x >= 0 ? x % P : -x % P ? P - -x % P : 0) {} constexpr ModInt(unsigned v, int) : v(v) {} static constexpr unsigned p() { return P; } M operator+() const { return *this; } M operator-() const { return {v ? P - v : 0, 0}; } explicit operator bool() const noexcept { return v; } bool operator!() const noexcept { return !(bool) *this; } M operator*(M r) const { return M(*this) *= r; } M operator/(M r) const { return M(*this) /= r; } M operator+(M r) const { return M(*this) += r; } M operator-(M r) const { return M(*this) -= r; } bool operator==(M r) const { return v == r.v; } bool operator!=(M r) const { return !(*this == r); } M& operator*=(M r) { v = (uint64_t) v * r.v % P; return *this; } M& operator/=(M r) { return *this *= r.inv(); } M& operator+=(M r) { v = r.v < P - v ? v + r.v : v - (P - r.v); return *this; } M& operator-=(M r) { v = r.v <= v ? v - r.v : v + (P - r.v); return *this; } M inv() const { int a = v, b = P, x = 1, u = 0; while (b) { int q = a / b; swap(a -= q * b, b); swap(x -= q * u, u); } assert(a == 1); return x; } template M pow(Z n) const { n = n >= 0 ? n % (P - 1) : P - 1 - -n % (P - 1); M res = 1; for (M a = *this; n; a *= a, n >>= 1) if (n & 1) res *= a; return res; } template friend M operator*(Z l, M r) { return M(l) *= r; } template friend M operator/(Z l, M r) { return M(l) /= r; } template friend M operator+(Z l, M r) { return M(l) += r; } template friend M operator-(Z l, M r) { return M(l) -= r; } friend ostream& operator<<(ostream& os, M r) { return os << r.v; } friend istream& operator>>(istream& is, M& r) { lint x; is >> x; r = x; return is; } template friend bool operator==(Z l, M r) { return M(l) == r; } template friend bool operator!=(Z l, M r) { return !(l == r); } }; using Mint = ModInt<(unsigned) 1e9 + 7>; template VV operator*(const VV& A, const VV& B) { assert(A[0].size() == B.size()); VV res(A.size(), V(B[0].size())); for (int i = 0; i < A.size(); ++i) for (int k = 0; k < A[0].size(); ++k) for (int j = 0; j < B[0].size(); ++j) { res[i][j] += A[i][k] * B[k][j]; } return res; } template VV& operator*=(VV& A, const VV& B) { return A = A * B; } template VV I(int n) { VV res(n, V(n)); for (int i = 0; i < n; ++i) res[i][i] = 1; return res; } template VV pow(VV A, lint n) { auto res = I(A.size()); while (n) { if (n & 1) res *= A; A *= A; n >>= 1; } return res; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); lint n, k; cin >> n >> k; V a(n); for (auto&& e : a) cin >> e; if (k <= 1e6) { a.resize(k); for (int i = n; i < 2 * n; ++i) { for (int j = 1; j <= n; ++j) { a[i] += a[i - j]; } } for (int i = 2 * n; i < k; ++i) { a[i] = 2 * a[i - 1] - (i - n - 1 >= 0 ? a[i - n - 1] : 0); } Mint res = accumulate(begin(a), end(a), Mint(0)); cout << a.back() << ' ' << res << '\n'; } else { VV A(n + 1, V(n + 1)); for (int j = 0; j < n; ++j) { A[0][j] = 1; if (j + 1 < n) A[j + 1][j] = 1; } A[n][n - 1] = A[n][n] = 1; A = pow(A, k - 1); Mint res; for (int j = 0; j < n; ++j) { res += A[n - 1][j] * a[n - 1 - j]; } Mint sum = res; for (int j = 0; j < n; ++j) { sum += A[n][n - 1 - j] * a[j]; } cout << res << ' ' << sum << '\n'; } }