#include #include typedef long long ll; #define REP(i,n) for(int i=0; i<(int)(n); i++) #include #include inline int getInt(){ int s; scanf("%d", &s); return s; } inline ll getLL(){ ll s; scanf("%lld", &s); return s; } #include using namespace std; const ll mod = 1000000007; vector > mult(const vector > &lhs, const vector > &rhs){ const int n = lhs.size(); vector > ret(n, vector(n)); REP(k,n) REP(i,n) REP(j,n) ret[i][j] = (ret[i][j] + lhs[i][k] * rhs[k][j]) % mod; return ret; } int main(){ const int n = getInt(); const ll k = getLL(); vector a(n); REP(i,n) a[i] = getInt(); if(k <= 1000000){ a.resize(k); a[n] = accumulate(a.begin(), a.end(), 0ll) % mod; for(int i = n + 1; i < k; i++){ a[i] = (2 * a[i - 1] - a[i - n - 1] + mod) % mod; } ll s = 0; REP(i,k) s = (s + a[i]) % mod; printf("%lld %lld\n", a[k - 1], s); }else{ vector v(n + 1); vector > m(n + 1, vector(n + 1)); REP(i,n) v[i] = a[i]; v[n] = accumulate(a.begin(), a.end(), 0ll) % mod; REP(i,n+1) m[n][i] = 1; REP(i,n) REP(j,n){ if(i == n - 1) m[i][j] = 1; else if(j - 1 == i) m[i][j] = 1; else m[i][j] = 0; } ll kk = k - n; vector > e(n + 1, vector(n + 1)); REP(i,n+1) e[i][i] = 1; while(kk){ if(kk % 2) e = mult(m, e); m = mult(m, m); kk /= 2; } vector ans(n + 1); REP(i,n+1) REP(j,n+1) ans[i] = (ans[i] + v[j] * e[i][j]) % mod; printf("%lld %lld\n", ans[n - 1], ans[n]); } return 0; }