#include using namespace std; typedef long long ll; typedef vector vec; typedef vector mat; const ll MOD = 1e9 + 7; mat mul(mat& A, mat& B) { mat C(A.size(), vec(B[0].size(), 0)); for (int i = 0; i < A.size(); i++) { for (int k = 0; k < B.size(); k++) { for (int j = 0; j < B[0].size(); j++) { (C[i][j] += A[i][k] * B[k][j]) %= MOD; } } } return C; } mat pow(mat A, ll n) { mat B(A.size(), vec(A.size())); for (int i = 0; i < A.size(); i++) { B[i][i] = 1; } while (n > 0) { if (n & 1) B = mul(B, A); A = mul(A, A); n >>= 1; } return B; } int N; ll K, a[10000]; void solve1() { ll f = 0, s = 0; queue q; for (int i = 0; i < N; i++) { f += a[i]; s += a[i]; q.push(a[i]); } s += f; q.push(f); for (int i = N + 1; i < K; i++) { f = (f * 2 - q.front() + MOD) % MOD; q.push(f); (s += f) %= MOD; q.pop(); } cout << f << " " << s << endl; } void solve2() { mat A(N + 1, vec(N + 1, 0)); for (int i = 0; i <= N; i++) A[0][i] = 1; for (int i = 1; i <= N; i++) A[1][i] = 1; for (int i = 2; i <= N; i++) A[i][i - 1] = 1; A = pow(A, K - N); mat B(N + 1, vec(1, 0)); for (int i = 0; i < N; i++) { B[N - i][0] = a[i]; B[0][0] += a[i]; } A = mul(A, B); cout << A[1][0] << " " << A[0][0] << endl; } int main() { cin.tie(0); ios::sync_with_stdio(false); cin >> N >> K; for (int i = 0; i < N; i++) cin >> a[i]; if (K <= 1000000) solve1(); else solve2(); return 0; }