/** * @FileName a.cpp * @Author kanpurin * @Created 2020.07.03 22:24:14 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; int MOD = 1e9 + 7; struct mint { private: long long x; public: mint(long long x = 0) : x((MOD + x) % MOD) {} mint(std::string& s) { long long z = 0; for (int i = 0; i < s.size(); i++) { z *= 10; z += s[i] - '0'; z %= MOD; } this->x = z; } 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) { long long n = MOD - 2; mint u = 1, b = a; while (n > 0) { if (n & 1) { u *= b; } b *= b; n >>= 1; } return *this *= u; } mint operator+(const mint& a) const { mint res(*this); return res += a; } mint operator-(const mint& a) const { mint res(*this); return res -= a; } mint operator*(const mint& a) const { mint res(*this); return res *= a; } mint operator/(const mint& a) const { mint res(*this); return res /= a; } friend std::ostream& operator<<(std::ostream& os, const mint& n) { return os << n.x; } bool operator==(const mint& a) const { return this->x == a.x; } }; long long powMod(long long k, long long n, long long mod) { long long x = 1; while (n > 0) { if (n & 1) { x = x * k % mod; } k = k * k % mod; n >>= 1; } return x; } long long comb(ll n, ll r, ll mod) { long long ret = 1; while (true) { if (r == 0) break; long long N = n % mod; long long R = r % mod; if (N < R) return 0; for (int i = 0; i < R; i++) { ret = ret * (N - i) % mod; } long long imul = 1; for (int i = 0; i < R; i++) { imul = imul * (i + 1) % mod; } ret = ret * powMod(imul, mod - 2, mod) % mod; n /= mod; r /= mod; } return ret; } int main() { int n, k; cin >> n >> k; mint ans = 0; mint c1 = comb(n + k - 1, n - 1, MOD), c2 = 1; for (int i = 0; i < n; i++) { int a; cin >> a; ans += c1 * c2 * a; cout << ans << endl; c1 *= n - i - 1; c1 /= n - i + k - 1; c2 *= k + i + 1; c2 /= i + 1; } cout << ans << endl; return 0; }