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#include<bits/stdc++.h>
using namespace std;
using LL=long long;
#define FOR(i,l,r) for(int i=(l);i<=(r);++i)
#define REP(i,n) FOR(i,0,(n)-1)
#define ssize(x) int(x.size())
template<class A,class B>auto&operator<<(ostream&o,pair<A,B>p){return o<<'('<<p.first<<", "<<p.second<<')';}
template<class T>auto operator<<(ostream&o,T x)->decltype(x.end(),o){o<<'{';int i=0;for(auto e:x)o<<(", ")+2*!i++<<e;return o<<'}';}
#ifdef DEBUG
#define debug(x...) cerr<<"["#x"]: ",[](auto...$){((cerr<<$<<"; "),...);}(x),cerr<<'\n'
#else
#define debug(...) {}
#endif

constexpr int mod = 1e9 + 7;

int add(int a, int b) {
	a += b;
	return a >= mod ? a - mod : a;
}
void self_add(int& a, int b) {
    a = add(a, b);
}
int mul(int a, int b) {
	return int(a * LL(b) % mod);
}

int main() {
	cin.tie(0)->sync_with_stdio(0);

    int n;
    cin >> n;
    debug(n);
    vector<vector<int>> a(n);
    REP(i, n) {
        string s;
        cin >> s;
        const int d = ssize(s);
        vector<int> v(d);
        REP(j, d) {
            if (s[j] == 'L')
                v[j] = 0;
            else if (s[j] == 'P')
                v[j] = 1;
            else
                assert(false);
        }
        a[i] = v;
    }
    debug(a);

    int limit = 0;
    REP(i, n) {
        limit = max(limit, ssize(a[i]));
    }
    vector dp_left(n, vector (limit + 2, vector (2, 0)));
    vector done(n, 0);
    vector dp_right(n, vector (limit + 2, vector (2, 0)));

    { // dp_left
        REP(i, n) {
            const int d = ssize(a[i]);
            vector dp(d + 2, vector (3, 0));
            vector new_dp(d + 2, vector (3, 0));
            dp[0][0] = 1;
            FOR(j, 1, d) {
                FOR(k, 0, j) {
                    if (a[i][j - 1] == 0) {
                        new_dp[k][0] = 0;
                        new_dp[k][1] = add(dp[k][1], dp[k][2]);
                        if (k > 0)
                            new_dp[k][2] = add(dp[k - 1][0], dp[k - 1][2]);
                        else
                            new_dp[k][2] = 0;

                        if (k == 0)
                            self_add(done[i], new_dp[k][2]);
                    }
                    else {
                        new_dp[k][0] = add(dp[k][0], dp[k][2]);
                        new_dp[k][1] = 0;
                        new_dp[k][2] = add(dp[k + 1][1], dp[k + 1][2]);

                        if (k == 0)
                            self_add(done[i], new_dp[k][2]);
                    }
                }
                swap(dp, new_dp);
                debug(j, dp);
            }
            FOR(k, 0, d) {
                REP(l, 2) {
                    dp_left[i][k][l] = add(dp[k][l], dp[k][2]);
                }
            }
            dp_left[i][0][1] = 0;
        }
    }
    debug(dp_left);
    debug(done);

    { // dp_right
        vector dp(2, vector (limit + 1, vector (limit + 2, 0)));
        REP(i, n) {
            REP(c, 2) {
                for (auto& v : dp[c]) {
                    fill(v.begin(), v.end(), 0);
                }
            }

            const int d = ssize(a[i]);
            for (int p = d - 1; p >= 0; --p) {
                FOR(sum, 0, d) {
                    REP(c, 2) {
                        if (a[i][p] == c) {
                            int cp_sum = sum;
                            if (c == 0) {
                                ++cp_sum;
                            }
                            else {
                                --cp_sum;
                            }
                            if (cp_sum >= 0) {
                                self_add(dp[c][p][sum], dp[0][p + 1][cp_sum]);
                                if (cp_sum == 0) {
                                    self_add(dp[c][p][sum], 1);
                                }
                                else {
                                    self_add(dp[c][p][sum], dp[1][p + 1][cp_sum]);
                                }
                            }
                        }
                        else {
                            dp[c][p][sum] = dp[c][p + 1][sum];
                        }
                    }
                }
            }
            debug(i, dp);
            REP(c, 2) {
                FOR(sum, 0, d) {
                    dp_right[i][sum][c] = dp[c][0][sum];
                }
            }
        }
    }
    debug(dp_right);

    REP(i, n) {
        REP(j, n) {
            int ans = 0;
            FOR(k, 0, limit) {
                REP(l, 2) {
                    ans = add(ans, mul(dp_left[i][k][l], dp_right[j][k][l]));
                }
            }
            self_add(ans, done[i]);
            cout << ans << ' ';
        }
        cout << '\n';
    }
}