#include #include #include #include #include #include #include #include #include #include #include using namespace std; #define REP(i,n) for(int i=0; i<(int)(n); i++) #define RREP(i,n) for(int i=(int)n-1; i>=0; i--) #define FOR(i,c) for(__typeof((c).begin())i=(c).begin();i!=(c).end();++i) #define RFOR(i,c) for(__typeof((c).rbegin())i=(c).rbegin();i!=(c).rend();++i) #define ALL(c) (c).begin(), (c).end() typedef long long int ll; typedef pair pii; typedef pair > pipii; typedef vector vi; const int INF = 1e9; const ll MOD = 1e9+7; typedef ll number; typedef vector Array; typedef vector Matrix; Matrix mul(const Matrix &a, const Matrix &b){ Matrix res(a.size(), Array(b[0].size())); REP(i, a.size()){ REP(j, b[0].size()){ REP(k, a[0].size()){ (res[i][j] += a[i][k] * b[k][j]) %= MOD; } } } return res; } Matrix powMat(const Matrix &a, ll b){ if(!b){ Matrix res(a.size(), Array(a.size())); REP(i, a.size()) res[i][i] = 1; return res; } Matrix res = powMat(mul(a, a), b / 2); if(b&1) res = mul(res, a); return res; } int main(void){ int n; ll k; cin >> n >> k; if(k <= 1000000){ vector a(k, 0LL); REP(i, n) cin >> a[i]; REP(i, n) (a[n] += a[i]) %= MOD; REP(i, k){ if(a[i]) continue; a[i] = (a[i-1] + a[i-1] - a[i-n-1] + MOD) % MOD; } cout << a[k-1] << " "; ll ans = 0LL; REP(i, k){ (ans += a[i]) %= MOD; } cout << ans << endl; } else{ Matrix x(n*2, Array(1, 0LL)), b(n*2, Array(1, 0LL)); Matrix A(n*2, Array(n*2, 0LL)); REP(i, n){ cin >> x[n*2 - i*2-2][0]; x[n*2 - i*2 - 1][0] = x[n*2 - i*2 - 2][0]; } REP(i, n){ if(!i) continue; x[n*2 - i*2 - 1][0] += x[n*2 - (i-1)*2 - 1][0]; } REP(i, n){ A[0][i*2] = 1LL; A[1][i*2] = 1LL; } A[1][1] = 1LL; REP(i, n*2-2){ A[i+2][i] = 1LL; } /* REP(i, n*2){ cout << x[i][0] << ":"; }cout << endl; REP(i, n*2){ REP(j, n*2){ cout << A[i][j] << ":"; }cout << endl; }cout << endl; */ b = mul(powMat(A, k-n), x); cout << b[0][0] << " " << b[1][0] << endl; } return 0; }