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// {{{
#define _USE_MATH_DEFINES
#include <bits/stdc++.h>

#define each(...)    for (auto& __VA_ARGS__)
#define rep(i, b, e) for (int i = (b); i <= (e); i++)
#define rev(i, b, e) for (int i = (e); i >= (b); i--)
#define mp make_pair
#define mt make_tuple
#define x first
#define y second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#ifdef SPONGE
#define dbg(f, ...) fprintf(stderr, "\033[1;33m" f "\033[0m", ##__VA_ARGS__)
#else
#define dbg(...) 1
#endif
#define tC template<class

using namespace std;

tC T> using V = vector<T>;
tC T1, class T2> using P = pair<T1,T2>;
tC T, class C=greater<T>> using PQ = priority_queue<T,V<T>,C>;

using ll = long long;
using ld = long double;
using ul = unsigned long long;
using pii = P<int,int>;
using pll = P<ll,ll>;
using pld = P<ld,ld>;
using vi = V<int>;
using vll = V<ll>;
using vld = V<ld>;
using vb = V<bool>;
using vs = V<string>;
using vpii = V<pii>;
using vpll = V<pll>;
using vpld = V<pld>;

tC T> int sz(const T& a) { return (int)a.size(); }
tC T> bool amin(T& a, T b) { return b < a ? a = b, 1 : 0; }
tC T> bool amax(T& a, T b) { return b > a ? a = b, 1 : 0; }

const size_t rseed = 4488;
// chrono::high_resolution_clock::now().time_since_epoch().count();
mt19937 rnd(rseed);
tC T> T rand(T lo, T hi) { return uniform_int_distribution<T>{lo,hi}(rnd); }

const int oo = 1e9 + 1;
const ll OO = 1e18 + 1;

namespace { void solve(); }
// }}}

int main()
{
  int t = 1;
  // scanf("%d", &t);
  rep(i, 1, t) {
    // printf("Case #%d: ", i);
    solve();
  }
}

namespace {

const int N = 611;
const int M = 1e9 + 7;

void dodaj(int& a, int b)
{
  a = (a + b) % M;
}

int n, dl[N];
char str[N][N];

int nastL[N], nastP[N];
int dp[N][N], ile[N], konL[N][N], konP[N][N], poczL[N][N], poczP[N][N];
bool sameP[N];

void policz(int s)
{
  int pierL = -1, ostL = -1, pierP = -1, ostP = -1;
  rep(i, 1, dl[s]) {
    if (str[s][i] == 'L') {
      if (pierL == -1) pierL = i;
      ostL = i;
    }
    else {
      if (pierP == -1) pierP = i;
      ostP = i;
    }
  }

  nastL[dl[s]] = -1;
  nastP[dl[s]] = -1;
  rev(i, 1, dl[s] - 1) {
    if (str[s][i + 1] == 'L') nastL[i] = i + 1;
    else nastL[i] = nastL[i + 1];
    if (str[s][i + 1] == 'P') nastP[i] = i + 1;
    else nastP[i] = nastP[i + 1];
  }

  rep(i, 0, dl[s]) rep(j, 0, dl[s]) dp[i][j] = 0;

  rep(i, 1, dl[s]) {
    if (i == pierL) dp[i][1] = 1;
    if (str[s][i] == 'P') dodaj(ile[s], dp[i][0]);

    if (nastL[i] != -1) {
      rep(b, 0, dl[s]) dodaj(dp[nastL[i]][b + 1], dp[i][b]);
    }
    else {
      rep(b, 0, dl[s]) dodaj(konL[s][b], dp[i][b]);
    }

    if (nastP[i] != -1) {
      rep(b, 1, dl[s]) dodaj(dp[nastP[i]][b - 1], dp[i][b]);
    }
    else {
      rep(b, 0, dl[s]) dodaj(konP[s][b], dp[i][b]);
    }
  }

  rep(i, 0, dl[s]) rep(j, 0, dl[s]) dp[i][j] = 0;

  rev(i, 1, dl[s]) {
    if (str[s][i] == 'P') dodaj(dp[i][1], 1);

    if (nastL[i] != -1) {
      if (str[s][i] == 'L') {
        rep(b, 1, dl[s]) dodaj(dp[i][b - 1], dp[nastL[i]][b]);
      }
      else {
        rep(b, 0, dl[s]) dodaj(dp[i][b + 1], dp[nastL[i]][b]);
      }
    }

    if (nastP[i] != -1) {
      if (str[s][i] == 'L') {
        rep(b, 1, dl[s]) dodaj(dp[i][b - 1], dp[nastP[i]][b]);
      }
      else {
        rep(b, 0, dl[s]) dodaj(dp[i][b + 1], dp[nastP[i]][b]);
      }
    }
  }

  if (pierL != -1) {
    rep(b, 0, dl[s]) poczL[s][b] = dp[pierL][b];
  }
  else {
    sameP[s] = true;
  }

  if (pierP != -1) {
    rep(b, 0, dl[s]) poczP[s][b] = dp[pierP][b];
  }
}

void debuguj(int s)
{
  dbg("NAPIS: %s\n", &str[s][1]);
  dbg("ile: ");
  dbg("%d ", ile[s]);
  dbg("\n");
  dbg("konL: ");
  rep(b, 0, dl[s]) dbg("%d ", konL[s][b]);
  dbg("\n");
  dbg("konP: ");
  rep(b, 0, dl[s]) dbg("%d ", konP[s][b]);
  dbg("\n");
  dbg("poczL: ");
  rep(b, 0, dl[s]) dbg("%d ", poczL[s][b]);
  dbg("\n");
  dbg("poczP: ");
  rep(b, 0, dl[s]) dbg("%d ", poczP[s][b]);
  dbg("\n");
}

void solve()
{
  scanf("%d", &n);
  // n = 600;

  rep(i, 1, n) {
    scanf("%s", &str[i][1]);
    dl[i] = strlen(&str[i][1]);
    /*
    dl[i] = 600;
    rep(j, 1, dl[i]) {
      if (rand(0, 1)) str[i][j] = 'L';
      else str[i][j] = 'P';
    }
    */
    policz(i);
    //debuguj(i);
  }

  rep(i, 1, n) {
    rep(j, 1, n) {
      if (sameP[i]) {
        printf("%d ", ile[j]);
      }
      else {
        int odp = ile[i];
        int xd = min(dl[i], dl[j]);
        rep(b, 0, xd) {
          dodaj(odp, ll(konL[i][b]) * poczL[j][b] % M);
          dodaj(odp, ll(konP[i][b]) * poczP[j][b] % M);
        }
        printf("%d ", odp);
      }
    }
    printf("\n");
  }

}

}