#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; unsigned dp[24][100'010]; unsigned ans[100'010]; 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); const bool rev = chmin(K, N - K); L = ((K + 1) + 1) / 2; S = 0; for (int i = 0; i < N; ++i) { S += A[i]; } 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; ) { 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) { Add(dp[0][x], dp[L][x]); } memset(dp[L], 0, (S + 1) * sizeof(dp[L][0])); } memcpy(ans, dp[K % L], (S + 1) * sizeof(dp[L][0])); // - memset(dp, 0, sizeof(dp)); dp[0][0] = 1 % M; for (int i = 0; i < N; ++i) { for (int k = L; --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) { Sub(dp[0][x], dp[L][x]); } memset(dp[L], 0, (S + 1) * sizeof(dp[L][0])); } for (int x = 0; x <= S; ++x) { unsigned a = ans[x]; if (K >= L) { Sub(a, dp[K - L][x]); } else { Add(a, dp[K][x]); } assert(a % 2 == 0); ans[x] = a / 2; } 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; }