#include #include #include using namespace std; const int mod = 1e9+7; typedef long long ll; typedef vector vec; typedef vector mat; mat mul(const mat &A, const mat &B){ mat C(A.size(), vec(B[0].size())); 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] = (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] = 1ll; } while(n > 0){ if(n & 1) B = mul(B, A); A = mul(A, A); n >>= 1; } return B; } int main(){ int n; ll k; cin >> n >> k; // skの求め方がわからなかったのでeditorialを見た 賢い if(n <= 30){ mat A(n+1, vec(n+1, 0)); for(int j = 0; j <= n; j++) A[0][j] = 1; for(int j = 1; j <= n; j++) A[1][j] = 1; for(int i = 2; i <= n; i++){ A[i][i-1] = 1; } mat B(n+1, vec(1)); ll tmp = 0; for(int i = 1; i <= n; i++) cin >> B[n-i+1][0], tmp += B[n-i+1][0]; B[0][0] = tmp; mat C = mul(pow(A, k-n), B); cout << C[1][0] << " " << C[0][0] << endl; }else{ deque q; ll sum = 0; for(int i = 0; i < n; i++){ int x; cin >> x; q.push_back(x); sum += x; } ll sk = sum; for(int i = 0; i < k-n; i++){ (sk += sum) %= mod; q.push_back(sum); sum = (sum*2)%mod; sum -= q.front(); q.pop_front(); sum = (sum+mod)%mod; } cout << q.back() << " " << sk << endl; } return 0; }