#include <bits/stdc++.h>

using namespace std;

const int N = 505, P = 998244353;

void add(int &x, long long y) {
    y += x;
    x = y - (((__int128)y * 18479187002) >> 64) * P;
}

int cnt[N], F[2][N][N][N], res[N << 1];

signed main() {
    int n; scanf("%d", &n);
    string S; cin >> S, S = ' ' + S;
    for (int i = 1; i <= n; ++i) cnt[i] = cnt[i - 1] + (S[i] == 'R');
    for (int i = 1; i <= n; ++i) cnt[i] = cnt[i] * 2 - i;
    F[0][(S[1] == 'R' && S[2] == 'R') * 2][S[1] == 'B' && S[2] == 'R'][S[1] == 'R' && S[2] == 'B'] = 1;
    for (int i = 2; i < n; ++i) {
        memset(F[(i & 1) ^ 1], 0, sizeof(F[(i & 1) ^ 1]));
        for (int a = 0; a <= i; ++a) {
            int b = a - cnt[i];
            if (b < 0 || b > i || a + b < 0 || a + b > i) continue;
            for (int c = 0; c <= (i - a - b) / 2; ++c) {
                int d = (i - a - b) / 2 - c;
                for (int e = 0; e <= (i - a - b) / 2; ++e) {
                    int f = (i - a - b) / 2 - e, v = F[i & 1][a][c][e];
                    if (!v) continue;
                    if (S[i + 1] == 'R') {
                        add(F[(i & 1) ^ 1][a + 1][c][e], 1ll * v * a);
                        add(F[(i & 1) ^ 1][a][c + 1][e], 1ll * v * b);
                        add(F[(i & 1) ^ 1][a + 1][c][e], 1ll * v * c);
                        add(F[(i & 1) ^ 1][a + 1][c + 1][e], 1ll * v * d);
                        if (e) add(F[(i & 1) ^ 1][a + 1][c][e - 1], 1ll * v * e);
                        add(F[(i & 1) ^ 1][a + 1][c][e], 1ll * v * f);
                    } else {
                        if (a) add(F[(i & 1) ^ 1][a - 1][c][e + 1], 1ll * v * a);
                        add(F[(i & 1) ^ 1][a][c][e], 1ll * v * b);
                        if (c) add(F[(i & 1) ^ 1][a][c - 1][e], 1ll * v * c);
                        add(F[(i & 1) ^ 1][a][c][e], 1ll * v * d);
                        add(F[(i & 1) ^ 1][a][c][e], 1ll * v * e);
                        add(F[(i & 1) ^ 1][a][c][e + 1], 1ll * v * f);
                    }
                }
            }
        }
    }
    for (int a = 0; a <= n; ++a) {
        int b = a - cnt[n];
        for (int c = 0; c <= n; ++c) {
            int d = (n - a - b) / 2 - c;
            for (int e = 0; e <= n; ++e) {
                int f = (n - a - b) / 2 - e;
                add(res[c - d - e + N], F[n & 1][a][c][e]);
            }
        }
    }
    for (int i = -n; i <= n; ++i) {
        printf("%d%c", res[i + N], " \n"[i == n]);
    }
    return 0;
}