#include #include #define rep(i, n) for(i = 0; i < n; i++) using namespace std; int n, m; int dp[2][101][4951]; int snuke(int n, int i) { return min(i, 2 * n - i); } //途中は良いカッコ列じゃなくて良いので、転倒数が結構増えることに注意 int rng(int n, int i) { return min(((i + 1) / 2) * (i / 2), n * (n - 1) / 2); } signed main() { int i, j, k; cin >> n >> m; dp[0][0][0] = 1; rep(i, 2 * n) { int snu1 = snuke(n, i); int rin1 = rng(n, i); int snu2 = snuke(n, i + 1); int rin2 = rng(n, i + 1); for (j = 0; j <= snu1; j++) { if ((i - j) & 1) continue; int one = (i - j) / 2; if (j + 1 <= snu2) { int *ptr1s = &dp[1][j + 1][one]; int *ptr0s = &dp[0][j][0]; int *ptr1e = ptr1s + rin1 + 1; while (ptr1s != ptr1e) { *ptr1s += *ptr0s; if (*ptr1s >= m) *ptr1s -= m; ptr1s++; ptr0s++; } } if (j - 1 >= 0) { int *ptr1s = &dp[1][j - 1][0]; int *ptr0s = &dp[0][j][0]; int *ptr1e = ptr1s + rin1 + 1; while (ptr1s != ptr1e) { *ptr1s += *ptr0s; if (*ptr1s >= m) *ptr1s -= m; ptr1s++; ptr0s++; } } } rep(j, snu2 + 1) rep(k, rin2 + 1) dp[0][j][k] = dp[1][j][k]; rep(j, snu2 + 1) rep(k, rin2 + 1) dp[1][j][k] = 0; } rep(i, n * n + 1) { if (i > rng(n, 2 * n)) { cout << 0 << endl; continue; } cout << dp[0][0][i] << endl; } return 0; }