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//
#ifndef __SIZEOF_INT128__
#define __SIZEOF_INT128__
#endif
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/priority_queue.hpp>
using namespace std;
using namespace chrono;
using namespace __gnu_pbds;
template <typename T> using oset =  tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define rep(i, p, k) for(int i(p); i < k; ++i)
#define per(i, p, k) for(int i(p); i > k; --i)
#define sz(x) (int)x.size()
#define sc static_cast
typedef long long ll;
typedef long double ld;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef __int128_t lll;
//#define int ll
template <typename T = int> using par = std::pair <T, T>;
#define fir first
#define sec second
#define test int _number_of_tests(in()); while(_number_of_tests--)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define pb emplace_back
struct Timer {
    string name{""};
    time_point<high_resolution_clock> end, start{high_resolution_clock::now()};
    duration<float, std::milli> dur;
    Timer() = default;
    Timer(string name): name(name) {}
    ~Timer() {
        end = high_resolution_clock::now(); dur= end - start;
        cout << "@" << name << "> " << dur.count() << " ms" << '\n';
    }
};
template <typename T = int> inline T in()
{
    T x;
    std::cin >> x;
    return x;
}
std::string yn(bool b)
{
    if(b) return "YES\n";
    else return "NO\n";
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par);
template <typename T> std::ostream& operator<< (std::ostream& out, const std::vector <T>& wek)
{
    for(const auto& i : wek)out << i << ' ';
    return out;
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par)
{
    out << '{'<<par.first<<", "<<par.second<<"}";
    return out;
}
#define show(x) cout << #x << " = " << x << '\n';
constexpr int MAXN = 603, mod = 1e9 + 7;
string tab[MAXN];
array <array <int, MAXN>, MAXN> prel, prep, sufl, sufp, sufkl, sufkp;
array <int, MAXN> pre0;
inline int lepszymod(int c)
{
    return c < mod ? c : c-mod;
}
std::int32_t main()
{
    std::cin.tie(nullptr); std::cout.tie(nullptr); std::ios_base::sync_with_stdio(0);
    int n(in());
    rep(i, 1, n+1){
        cin >> tab[i];
        prel[i][0] = prep[i][0] = 1;
        rep(k, 0, sz(tab[i])){
            if(tab[i][k] == 'L'){
                per(j, MAXN-1, 0){
                    if(prel[i][j-1]){
                        if(!j)pre0[i] = lepszymod(pre0[i] + prel[i][j-1]);
                        prep[i][j] = lepszymod(prep[i][j] + prel[i][j-1]);
                    }
                    prel[i][j] = prel[i][j-1];
                }
                prel[i][0] = 0;
            }
            else{
                rep(j, 0, MAXN-1){
                    if(prep[i][j+1]){
                        if(!j)pre0[i] = lepszymod(pre0[i]+prep[i][j+1]);
                        prel[i][j] = lepszymod(prel[i][j] + prep[i][j+1]);
                    }
                    prep[i][j] = prep[i][j+1];
                }
            }
        }
        sufl[i][0] = sufp[i][0] = 1;
        per(k, sz(tab[i])-1, -1){
            if(tab[i][k] == 'P'){
                per(j, MAXN-1, 0){
                    if(sufl[i][j-1]){
                        sufkp[i][j] = lepszymod(sufkp[i][j] + sufl[i][j-1]);
                        sufp[i][j] = lepszymod(sufp[i][j] + sufl[i][j-1]);
                    }
                    sufl[i][j] = sufl[i][j-1];
                }
                sufl[i][0] = 0;
            }
            else{
                rep(j, 0, MAXN-1){
                    if(sufp[i][j+1]){
                        sufkl[i][j] = lepszymod(sufkl[i][j]+sufp[i][j+1]);
                        sufl[i][j] = lepszymod(sufl[i][j] + sufp[i][j+1]);
                    }
                    sufp[i][j] = sufp[i][j+1];
                }
            }
        }
    }
    rep(i, 1, n+1){
        rep(j, 1, n+1){
            int s(pre0[i]);     
            rep(k, 0, MAXN){
                if(prep[i][k] && sufkp[j][k])s = (s + 1ll*prep[i][k]*sufkp[j][k]) % mod;
                if(prel[i][k] && sufkl[j][k])s = (s + 1ll*prel[i][k]*sufkl[j][k]) % mod;
            }
            cout << s << ' ';
        }
        cout << '\n';
    }
    return 0;
}