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// Arti1990, II UWr

#include <bits/stdc++.h>

#define forr(i, n)                  for(int i=0; i<n; i++)
#define FOREACH(iter, coll)         for(auto iter = coll.begin(); iter != coll.end(); ++iter)
#define FOREACHR(iter, coll)        for(auto iter = coll.rbegin(); iter != coll.rend(); ++iter)
#define lbound(P,K,FUN)             ({auto SSS=P, PPP = P-1, KKK=(K)+1; while(PPP+1!=KKK) {SSS = (PPP+(KKK-PPP)/2); if(FUN(SSS)) KKK = SSS; else PPP = SSS;} PPP;})
#define testy()                     int _tests; cin>>_tests; FOR(_test, 1, _tests)
#define CLEAR(tab)                  memset(tab, 0, sizeof(tab))
#define CONTAIN(el, coll)           (coll.find(el) != coll.end())
#define FOR(i, a, b)                for(int i=a; i<=b; i++)
#define FORD(i, a, b)               for(int i=a; i>=b; i--)
#define MP                          make_pair
#define PB                          push_back
#define ff                          first
#define ss                          second
#define deb(X)                      X;

#define M 1000000007
#define INF 1000000007LL

using namespace std;

int n;
string str[607];
long long tab[2007][2007];
int nextl[2007], nextp[2007];
pair<vector<long long>, vector<long long>> prawe[2007];

void policz_prawo(int nr, string s)
{
    int dl = s.size();
    nextl[0] = 0;
    nextp[0] = 0;
    int maxw = dl;

    FOR(i, 1, dl)
    {
        //maxw += (s[i-1] == 'P');
        nextl[i] = s[i-1] == 'L' ? i : nextl[i-1];
        nextp[i] = s[i-1] == 'P' ? i : nextp[i-1];
    }

    forr(i, dl+3)
        forr(j, maxw+2)
            tab[i][j] = 0;

    tab[dl+1][0] = 1;
    FORD(i, dl+1, 1)
        FOR(j, 0, maxw)
            if(tab[i][j] > 0)
            {
                tab[nextp[i-1]][j+1] = (tab[nextp[i-1]][j+1] + tab[i][j])%M;
                if(j > 0)
                    tab[nextl[i-1]][j-1] = (tab[nextl[i-1]][j-1] + tab[i][j])%M;
            }

    prawe[nr].ff.resize(dl+5, 0);
    prawe[nr].ss.resize(dl+5, 0);

    FOR(i, 1, dl)
        if(s[i-1] == 'L')
            FOR(j, 0, maxw)
                prawe[nr].ff[j] += tab[i][j];
        else
            FOR(j, 0, maxw)
                prawe[nr].ss[j] += tab[i][j];

    FOR(j, 0, maxw)
    {
        prawe[nr].ff[j] %= M;
        prawe[nr].ss[j] %= M;
    }
}

void policz_lewe(string s)
{
    int dl = s.size();
    nextl[dl+1] = dl+1;
    nextp[dl+1] = dl+2;
    int maxw = dl;

    FORD(i, dl, 1)
    {
        //maxw += (s[i-1] == 'L');
        nextl[i] = s[i-1] == 'L' ? i : nextl[i+1];
        nextp[i] = s[i-1] == 'P' ? i : nextp[i+1];
    }

    forr(i, dl+5)
        forr(j, maxw+2)
            tab[i][j] = 0;

    tab[0][0] = 1;
    FOR(i, 0, dl)
        FOR(j, 0, maxw)
            if(tab[i][j] > 0)
            {
                tab[nextl[i+1]][j+1] = (tab[nextl[i+1]][j+1] + tab[i][j])%M;
                if(j > 0)
                    tab[nextp[i+1]][j-1] = (tab[nextp[i+1]][j-1] + tab[i][j])%M;
            }


    long long res = 0;
    FOR(i, 1, dl)
        res += tab[i][0];
    res %= M;

    forr(i, n)
    {
        long long r = res;
        int dd = min(s.size(), str[i].size())+1;
        forr(j, dd+1)
        {
            r += tab[dl+1][j+1]*prawe[i].ff[j];
            //cout << "dodaje l " << tab[dl+1][j+1]*prawe[i].ff[j] << '\n';
            if(j > 0)
            {
                r += tab[dl+2][j-1]*prawe[i].ss[j];
                //cout << "dodaje p "<< tab[dl+2][j-1]*prawe[i].ss[j] << '\n';
            }
            r %= M;
        }
        cout << r << " ";
    }
    cout << '\n';
}

int solve()
{
    cin >> n;
    //n = 600;
    forr(i, n)
    {
        cin >> str[i];
        //forr(j, n)
        //    str[i] += (rand()%2 ? 'L' : 'P');
        policz_prawo(i, str[i]);
        //cout << prawe[i].ff[0] << '\n';
    }

    forr(i, n)
        policz_lewe(str[i]);

    return 0;
}

int main()
{
    std::ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    solve();

    return 0;
}