#pragma GCC optimize ("Ofast") #pragma GCC optimize ("unroll-loops") #pragma GCC target ("avx") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using Int = long long; template ostream &operator<<(ostream &os, const pair &a) { return os << "(" << a.first << ", " << a.second << ")"; }; template void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; } template bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; } template bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; } unsigned M; int N, K; int A[110]; int S; short dp[46][100'010]; short anss[3][100'010]; unsigned ans[100'010]; /* m0 = NextPrime[2^15, -1] m1 = NextPrime[2^15, -2] m2 = NextPrime[2^15, -3] m1 m2 PowerMod[m1 m2, -1, m0] m2 m0 PowerMod[m2 m0, -1, m1] m0 m1 PowerMod[m0 m1, -1, m2] Clear[m0, m1, m2] */ constexpr short MOS[3] = {32749, 32719, 32717}; constexpr unsigned long long PROD = 1ULL * MOS[0] * MOS[1] * MOS[2]; constexpr unsigned long long COEFS[3] = {26694248621051ULL, 11101283430913ULL, 32317949769491ULL}; unsigned calc(unsigned a0, unsigned a1, unsigned a2) { return (COEFS[0] * a0 + COEFS[1] * a1 + COEFS[2] * a2) % PROD % M; } template void add(short &t, short f) { t += f; t = (t >= MOS[H]) ? (t - MOS[H]) : t; } template void solve() { memset(dp, 0, sizeof(dp)); dp[0][0] = 1; for (int i = 0; i < N; ++i) { for (int k = K; --k >= 0; ) { for (int x = 0; x + A[i] <= S; ++x) { add(dp[k + 1][x + A[i]], dp[k][x]); } } } for (int x = 0; x <= S; ++x) { anss[H][x] = dp[K][x]; } } int main() { for (; ~scanf("%d%u%d", &N, &M, &K); ) { for (int i = 0; i < N; ++i) { scanf("%d", &A[i]); } sort(A, A + N); S = 0; for (int i = 0; i < N; ++i) { S += A[i]; } const bool rev = chmin(K, N - K); solve<0>(); solve<1>(); solve<2>(); for (int x = 0; x <= S; ++x) { ans[x] = calc(anss[0][x], anss[1][x], anss[2][x]); } if (rev) { reverse(ans, ans + (S + 1)); } for (int x = 1; x <= S; ++x) { if (x > 1) printf(" "); printf("%u", ans[x]); } puts(""); } return 0; }