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#pragma GCC optimize("O3")
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// using namespace __gnu_pbds;
// gp_hash_table<int, int> mapka;

using namespace std;
#define PB push_back
#define MP make_pair
#define LL long long
#define int LL
#define FOR(i,a,b) for(int32_t i = (a); i <= (b); i++)
#define RE(i,n) FOR(i,1,n)
#define REP(i,n) FOR(i,0,(int)(n)-1)
#define R(i,n) REP(i,n)
#define VI vector<int>
#define PII pair<int,int>
#define LD long double
#define FI first
#define SE second
#define st FI
#define nd SE
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())

template<class C> void mini(C &a4, C b4) { a4 = min(a4, b4); }
template<class C> void maxi(C &a4, C b4) { a4 = max(a4, b4); }

template<class TH> void _dbg(const char *sdbg, TH h){ cerr<<sdbg<<'='<<h<<endl; }
template<class TH, class... TA> void _dbg(const char *sdbg, TH h, TA... a) {
  while(*sdbg!=',')cerr<<*sdbg++;
  cerr<<'='<<h<<','; _dbg(sdbg+1, a...);
}

template<class T> ostream &operator<<(ostream& os, vector<T> V) {
  os << "["; for (auto vv : V) os << vv << ","; return os << "]";
}
template<class L, class R> ostream &operator<<(ostream &os, pair<L,R> P) {
  return os << "(" << P.st << "," << P.nd << ")";
}

#ifdef LOCAL
#define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__)
#else
#define debug(...) (__VA_ARGS__)
#define cerr if(0)cout
#endif

const int32_t P = 1e9 + 7;
const int32_t MAX = 602;
void add(int32_t &a,int32_t b){
  a += b;
  if(a >= P)
    a -= P;
}
int32_t mul(int a,int32_t b){
  return a * b % P;
}
int32_t main(){
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout << fixed << setprecision(11);
  cerr << fixed << setprecision(6);
  int32_t n;
  cin >> n;
  vector<string> t(n);
  vector<int32_t> samo(n,P-1);
  vector<vector<int32_t>> mie1[2];
  R(i,2)mie1[i].resize(n,vector<int32_t>(MAX));
  R(i,n)cin >> t[i];
  R(x,n){
    int32_t len = SZ(t[x]);
    vector<int32_t> pier[2];
    R(i,2){
      pier[i].resize(len + 1);
      pier[i][len] = len;
    }
    for(int32_t i = len -1;i>=0;i--){
      R(j,2)pier[j][i] = pier[j][i+1];
      pier[t[x][i] == 'P'][i] = i;
    }
    vector<vector<int32_t>> dp(len + 1, vector<int32_t>(MAX));
    dp[0][0] = 1;
    R(i,len + 1)R(j,i + 1){
      if(j == 0)add(samo[x],dp[i][j]);
      int32_t pom = pier[0][i];
      if(pom < len){
        add(dp[pom+1][j+1],dp[i][j]);
      }else{
        add(mie1[0][x][j],dp[i][j]);
      }
      if(j != 0){
        pom = pier[1][i];
        if(pom < len){
          add(dp[pom+1][j-1],dp[i][j]);
        }else{
          add(mie1[1][x][j],dp[i][j]);
        }
      }
    }
  }
  vector<vector<int32_t>> mie2[2];
  R(i,2)mie2[i].resize(n,vector<int32_t>(MAX));
  R(x,n){
    reverse(ALL(t[x]));
    int32_t len = SZ(t[x]);
    vector<int32_t> pier[2];
    R(i,2){
      pier[i].resize(len + 1);
      pier[i][len] = len;
    }
    for(int32_t i = len -1;i>=0;i--){
      R(j,2)pier[j][i] = pier[j][i+1];
      pier[t[x][i] == 'L'][i] = i;
    }
    vector<vector<int32_t>> dp(len + 1, vector<int32_t>(MAX));
    dp[0][0] = 1;
    R(i,len + 1)R(j,i + 1){
      int32_t pom = pier[0][i];
      if(pom < len){
        add(mie2[1][x][j+1],dp[i][j]);
        add(dp[pom+1][j+1],dp[i][j]);
      }
      if(j != 0){
        pom = pier[1][i];
        if(pom < len){
          add(dp[pom+1][j-1],dp[i][j]);
          add(mie2[0][x][j-1],dp[i][j]);
        }
      }
    }
  }
  R(i,n){
    R(j,n){
      int32_t res = samo[i];
      R(co,2)R(bil,MAX){
        add(res, mul(mie1[co][i][bil],mie2[co][j][bil]));
      }
      cout << res << " ";
    }
    cout << "\n";
  }
}