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#include <vector>
#include <iostream>
#include <sstream>
#include <math.h>
#include <sys/time.h>
#include <cstdlib>
#include <algorithm>
#include <cassert>
#include <cstring>
#include <fstream>
#include <set>
#include <map>
#include <iomanip>
#include <queue>

#define FOR(i,a,b)  for(__typeof(b) i=(a);i<(b);++i)
#define REP(i,a)    FOR(i,0,a)
#define FOREACH(x,c)   for(__typeof(c.begin()) x=c.begin();x != c.end(); x++)
#define ALL(c)      c.begin(),c.end()
#define CLEAR(c)    memset(c,0,sizeof(c))
#define SIZE(c) (int) ((c).size())

#define PB          push_back
#define MP          make_pair
#define X           first
#define Y           second

#define ULL         unsigned long long
#define LL          long long
#define LD          long double
#define II         pair<int, int>
#define DD         pair<double, double>
#define FF          pair<float,float>

#define VC	    vector
#define VI          VC<int>
#define VVI         VC<VI>
#define VVVI        VC<VVI>
#define VD          VC<double>
#define VS          VC<string>
#define VII         VC<II>
#define VDD         VC<DD>
#define VFF         VC<FF>
#define VVD         VC<VD>
#define VVVD        VC<VVD>
#define VULL         VC<ULL>

#define DB(a)       cerr << #a << ": " << a << endl;

using namespace std;

template<class T> void print(VC < T > v) {cerr << "[";if (SIZE(v) != 0) cerr << v[0]; FOR(i, 1, SIZE(v)) cerr << "," << v[i]; cerr << "]\n";}
template<class T> string i2s(T &x) { ostringstream o; o << x; return o.str(); }
VS split(string &s, char c = ' ') {VS all; int p = 0, np; while (np = s.find(c, p), np >= 0) {all.PB(s.substr(p, np - p)); p = np + 1;} if (p < SIZE(s)) all.PB(s.substr(p)); return all;}

#define INFTY 100000000
#define MOD 1000000007

int N;
VS T;

int solve(string s){
    int L = SIZE(s);
    int B = L/2;

    VI nextL(L,INFTY);
    int cur = INFTY;
    for(int i=L-1; i >= 0; i--){
        if (s[i] == 'L') cur = i;
        nextL[i] = cur;
    }
    VI nextP(L,INFTY);
    cur = INFTY;
    for(int i=L-1; i >= 0; i--){
        if (s[i] == 'P') cur = i;
        nextP[i] = cur;
    }

    VVI DP = VVI(L,VI(L,0));
    VVI DP2 = VVI(L,VI(L,0));
    
    DP[0][0] = 1;
    ULL cnt = 0;
    FOR(l,1,L+1){
        REP(b,B+1) REP(pos,L) if (DP[b][pos] > 0){
            int Lpos = nextL[pos];
            int Ppos = nextP[pos];
            if (Lpos != INFTY)
                DP2[b+1][Lpos+1] = (DP2[b+1][Lpos+1]+DP[b][pos])%MOD;
            if (b > 0 && Ppos != INFTY){
                if (b == 1)
                    cnt = (cnt+DP[b][pos])%MOD;
                if (Ppos < L-1)
                    DP2[b-1][Ppos+1] = (DP2[b-1][Ppos+1]+DP[b][pos])%MOD;
            }
        }
        DP = DP2;
        DP2 = VVI(L,VI(L,0));
    }        
    return cnt;
}

int main(int argc, char *argv[]){
    cin >> N;
    T.resize(N);
    REP(i,N) cin >> T[i];

    REP(i,4) {
        REP(j,4) 
            cout << solve(T[i]+T[j]) << " ";
        cout << endl;
    }
    return 0;
}