#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; void Add(unsigned &t, unsigned f) { t += f; t = (t >= M) ? (t - M) : t; } void Sub(unsigned &t, unsigned f) { t -= f; t = (t >= M) ? (t + M) : t; } int N, K; int A[110]; int L; int S, T; unsigned dp[47][50'010]; unsigned ans0[50'010]; unsigned ans1[50'010]; 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); L = ((N + 1) + 1) / 2; assert(N < 2 * L); S = 0; for (int i = 0; i < N; ++i) { S += A[i]; } T = S / 2; M *= 2; // + memset(dp, 0, sizeof(dp)); dp[0][0] = 1 % M; for (int i = 0; i < N; ++i) { for (int k = L; --k >= 0; ) if (i >= k) { for (int x = 0; x + A[i] <= T; ++x) { Add(dp[k + 1][x + A[i]], dp[k][x]); } } if (i + 1 >= L) { for (int x = 0; x <= T; ++x) { Add(dp[0][x], dp[L][x]); } memset(dp[L], 0, (T + 1) * sizeof(dp[0][0])); } } memcpy(ans0, dp[K % L], (T + 1) * sizeof(dp[0][0])); memcpy(ans1, dp[(N - K) % L], (T + 1) * sizeof(dp[0][0])); // - #ifdef LOCAL memset(dp, 0, sizeof(dp)); #endif dp[0][0] = 1 % M; for (int i = 0; i < N; ++i) { for (int k = L; --k >= 0; ) if (i >= k) { for (int x = 0; x + A[i] <= T; ++x) { Add(dp[k + 1][x + A[i]], dp[k][x]); } } if (i + 1 >= L) { for (int x = 0; x <= T; ++x) { Sub(dp[0][x], dp[L][x]); } memset(dp[L], 0, (T + 1) * sizeof(dp[0][0])); } } for (int x = 0; x <= T; ++x) { unsigned a = ans0[x]; (K >= L) ? Sub(a, dp[K - L][x]) : Add(a, dp[K][x]); assert(a % 2 == 0); ans0[x] = a / 2; } for (int x = 0; x <= T; ++x) { unsigned a = ans1[x]; (N - K >= L) ? Sub(a, dp[(N - K) - L][x]) : Add(a, dp[N - K][x]); assert(a % 2 == 0); ans1[x] = a / 2; } for (int x = 1; x <= S; ++x) { if (x > 1) printf(" "); printf("%u", (x <= T) ? ans0[x] : ans1[S - x]); } puts(""); } return 0; }