// 愚直

#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")

#include <stdio.h>
#define N_MAX 100000
#define u32 unsigned int
#define MOD 998244353

int main(){
    int n;  scanf("%d", &n);
    char s[N_MAX];  scanf("%s", s);

    int a[N_MAX] = { 0 };
    for(int i = 0; i < N_MAX; ++i){
        if(s[i] == 'R'){
            a[i] = 1;
        }
    }

    u32 dp0[N_MAX + 1] = { 0 };
    u32 dp1[N_MAX + 1] = { 0 };
    u32 ndp0[N_MAX + 1] = { 0 };
    u32 ndp1[N_MAX + 1] = { 0 };
    dp0[0] = dp1[0] = 1;
    if(a[0]){
        dp1[1] = 1;
    }
    else{
        dp0[1] = 1;
    }
    for(int i = 1; i < n; ++i){
        // printf("%d\n", i);
        ndp0[0] = dp0[0];
        ndp1[0] = dp1[0];
        for(int j = 1; j < n + 1; ++j){
            ndp0[j] = dp0[j];
            ndp1[j] = dp1[j];
            if(a[i]){
                ndp1[j] += dp0[j - 1];
                if(ndp1[j] >= MOD){
                    ndp1[j] -= MOD;
                }
            }
            else{
                ndp0[j] += dp1[j - 1];
                if(ndp0[j] >= MOD){
                    ndp0[j] -= MOD;
                }
            }
        }
        for(int j = 0; j < n + 1; ++j){
            dp0[j] = ndp0[j];
            dp1[j] = ndp1[j];
        }
    }

    for(int j = 1; j < n + 1; ++j){
        u32 ans = dp0[j] + dp1[j];
        if(ans >= MOD){
            ans -= MOD;
        }
        printf("%u\n", ans);
    }

    return 0;
}