#include "bits/stdc++.h" using namespace std; int dp[1000010]; long long mod = (int)1e9 + 7; void calc(int N, long long K, vector A){ long long sum2 = 0; long long sum = 0; for (int i = 0; i < N; i++) { dp[i] = A[i]; sum += A[i]; sum2 += A[i]; } sum %= mod; sum2 %= mod; for (int i = N; i < K; i++) { dp[i] = sum; sum -= dp[i - N]; sum += dp[i]; sum %= mod; sum += mod; sum %= mod; sum2 += dp[i]; sum2 %= mod; } cout << dp[K - 1] << " " << sum2 << endl; } vector> E(int N){ vector> V(N, vector(N, 0)); for (int i = 0; i < N; i++) { V[i][i] = 1ll; } return V; } vector> matrixmul(vector> a, vector> b){ int N = a[0].size(); vector> V(N, vector(N, 0)); for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { for (int k = 0; k < N; k++) { V[i][j] += a[i][k] * b[k][j]; V[i][j] %= mod; } V[i][j] %= mod; } } return V; } vector> matrixpow(vector> a, long long p){ if (p == 0) return E(a[0].size()); if (p % 2 == 1){ return matrixmul(a, matrixpow(a, p - 1)); } else{ auto c = matrixpow(a, p / 2); return matrixmul(c, c); } } void calc2(int N, long long K, vector A){ vector> V(N + 1, vector(N + 1, 0)); for (int i = 0; i < N; i++) { if(i != 0) V[i - 1][i] = 1; V[N - 1][i] = 1; V[N][i] = 1; } V[N][N] = 1; long long sum = 0; for (int i = 0; i < N; i++) { sum += A[i]; sum %= mod; } long long ans = 0; auto next = matrixpow(V, K - N); for (int i = 0; i < N; i++) { ans += A[i] * next[N - 1][i]; sum += A[i] * next[N][i]; } ans %= mod; sum %= mod; cout << ans << " " << sum << endl; } int main() { int N; long long K; cin >> N >> K; vector A(N); for (int i = 0; i < N; i++) { cin >> A[i]; } if (K <= 1000000) calc(N, K, A); else calc2(N, K, A); }