//#define _GLIBCXX_DEBUG #include #define rep(i, n) for(int i=0; i; using vs = vector; using vi = vector; using vvi = vector; template using PQ = priority_queue; template using PQG = priority_queue, greater >; const int INF = 100010001; const ll LINF = (ll)INF*INF*10; template inline bool chmax(T1 &a, T2 b) {return a < b && (a = b, true);} template inline bool chmin(T1 &a, T2 b) {return a > b && (a = b, true);} template istream &operator>>(istream &is, pair &p) { return is >> p.first >> p.second;} template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second;} const int mod = 1000000007; //const int mod = 998244353; struct mint { int64_t x; mint(int64_t x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(int64_t t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } //for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) {return mint(*this) /= a;} }; istream& operator>>(istream& is, mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} //head int n; ll k; using V = vector; using M = vector; M mul(M &a, M b) { int n = a.size(); M res(n, V(n)); rep(i, n) rep(j, n) rep(k, n) res[i][j] += a[i][k] * b[k][j]; return res; } M pow(M &a, ll p) { int n = a.size(); M res(n, V(n)); if(!p) { rep(i, n) res[i][i] = 1; return res; } M ano = pow(a, p>>1); res = mul(ano, ano); if(p&1) res = mul(res, a); return res; } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> k; if(n > 30) { vi a(n); rep(i, n) cin >> a[i]; if(k <= n) { cout << a[k-1] << ' ' << accumulate(a.begin(), a.begin() + k, mint()) << endl; } else { mint now = a[n-1], sum1, sum2 = accumulate(all(a), mint()); queue q; rep(i, n) q.emplace(a[i]); rep(i, k-n) { now = sum2-sum1; sum2 += now; sum1 += q.front(); q.pop(); q.emplace(now); } cout << now << ' ' << sum2 << endl; } } else { V a(n); rep(i, n) cin >> a[i]; if(k <= n) { cout << a[k-1] << ' ' << accumulate(a.begin(), a.begin()+k, mint()) << endl; } else { M mat(n+1, V(n+1)); rep(i, n+1) mat[0][i] = 1; rep(i, n) mat[1][i+1] = 1; rep(i, n-1) mat[i+2][i+1] = 1; //rep(i, n+1) rep(j, n+1) cout << mat[i][j] << (j == n?'\n':' '); mat = pow(mat, k-n); //rep(i, n+1) rep(j, n+1) cout << mat[i][j] << (j == n?'\n':' '); mint s = accumulate(all(a), mint()); mint ans; rep(i, n) ans += a[n-1-i] * mat[1][i+1]; mint sum; sum += s*mat[0][0]; rep(i, n) sum += a[n-1-i] * mat[0][i+1]; cout << ans << ' ' << sum << endl; } } }