#include using namespace std; #define int long long #define ii pair #define app push_back #define all(a) a.begin(), a.end() #define bp __builtin_popcountll #define ll long long #define mp make_pair #define f first #define s second #define Time (double)clock()/CLOCKS_PER_SEC #define debug(x) std::cout << #x << ": " << x << '\n'; const int MOD = 1000 * 1000 * 1000 + 7; int mod(int n) { n %= MOD; if (n < 0) return n + MOD; else return n; } int fp(int a, int p) { int ans = 1, c = a; for (int i = 0; (1ll << i) <= p; ++i) { if ((p >> i) & 1) ans = mod(ans * c); c = mod(c * c); } return ans; } int dv(int a, int b) { return mod(a * fp(b, MOD - 2)); } int C(int n, int k) { int ans = 1; for (int i = 1; i <= n; ++i) ans = mod(ans * i); int d = 1; for (int i = 1; i <= n - k; ++i) d = mod(d * i); for (int i = 1; i <= k; ++i) d = mod(d * i); return dv(ans, d); } signed main() { #ifdef HOME freopen("input.txt", "r", stdin); #else #define endl '\n' ios_base::sync_with_stdio(0); cin.tie(0); #endif int n, k; cin >> n >> k; vector a(n); for (int i = 0; i < n; ++i) cin >> a[i]; if (k == 0) { int sum = 0; for (int i = 0; i < n; ++i) sum = mod(sum + a[i]); cout << sum << endl; exit(0); } int ans = 0; int lf = fp(k, MOD - 2); int rf = C(n + k, k); for (int i = 0; i < n; ++i) { int l = i + 1; int r = n - i; lf = mod(lf * (l + k - 1)); if (l > 1) { lf = dv(lf, l - 1); } rf = dv(rf, r + k); rf = mod(rf * r); ans = mod(ans + mod(lf * rf) * a[i]); // C(l + k - 1, k) * C(r + k - 1, k) } cout << ans << endl; }