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#include <bits/stdc++.h>

#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((int)(x).size())
#define st first
#define nd second

using namespace std;
 
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
	enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
	ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
	*this << "[";
	for (auto it = d.b; it != d.e; ++it)
	*this << ", " + 2 * (it == d.b) << *it;
	ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
 
using ll = long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using vi = vector<int>;
using vll = vector<ll>;

const int mod = 1000 * 1000 * 1000 + 7;

inline void add_mod(int &a, int b) {
	a += b;
	if (a >= mod) { a -= mod; }
}
inline void sub_mod(int &a, int b) {
	a -= b;
	if (a < 0) { a += mod; }
}
int mul_mod(int a, int b) {
	return (ll)a * b % mod;
}

struct StringInfo {
	int cnt_within = 0;
	vi pref_l, pref_r;
	vi suf_l, suf_r;
};

vector<StringInfo> string_infos;

const int kMaxLen = 700;

int dp[kMaxLen][kMaxLen];

StringInfo ProcessString(string s) {
	debug() << imie(s);
	const int L = SZ(s);
	for (int i = 0; i <= L; ++i) {
		memset(dp[i], 0, sizeof(dp[i]));
	}

	vi nxt_l(L + 1), nxt_r(L + 1);
	nxt_l[L] = nxt_r[L] = L + 1;
	for (int i = L - 1; i >= 0; --i) {
		nxt_l[i] = (s[i] == 'L' ? i + 1 : nxt_l[i + 1]);
		nxt_r[i] = (s[i] == 'P' ? i + 1 : nxt_r[i + 1]);
	}
	
	StringInfo info;
	info.pref_l.resize(L + 2);
	info.pref_r.resize(L + 2);
	info.suf_l.resize(L + 2);
	info.suf_r.resize(L + 2);
	
	dp[0][0] = 1;
	for (int loc = 0; loc <= L; ++loc) {
		for (int delta = 0; delta <= loc; ++delta) {
			if (!dp[loc][delta]) { continue; }
			if (nxt_l[loc] > L) {
				add_mod(info.pref_l[delta + 1], dp[loc][delta]);
			} else {
				add_mod(dp[nxt_l[loc]][delta + 1], dp[loc][delta]);
			}
			
			if (delta > 0) {
				if (nxt_r[loc] > L) {
					add_mod(info.pref_r[delta - 1], dp[loc][delta]);
				} else {
					add_mod(dp[nxt_r[loc]][delta - 1], dp[loc][delta]);
				}
			}
		}
		
		if (loc) {
			add_mod(info.cnt_within, dp[loc][0]);
		}
	}
	
	debug() << imie(info.cnt_within);
	debug() << imie(info.pref_l);
	debug() << imie(info.pref_r);
	
	for (int i = 0; i <= L; ++i) {
		memset(dp[i], 0, sizeof(dp[i]));
	}
	
	for (int loc = L; loc > 0; --loc) {
		dp[loc][0] = 1;
		for (int delta = 0; delta <= L + 2; ++delta) {
			if (nxt_l[loc] <= L) {
				add_mod(dp[loc][delta], dp[nxt_l[loc]][delta + 1]);
			}
			if (delta > 0 && nxt_r[loc] <= L) {
				add_mod(dp[loc][delta], dp[nxt_r[loc]][delta - 1]);
			}
		}
	}
	
	for (int delta = 0; delta <= L + 1; ++delta) {
		if (nxt_l[0] <= L) {
			info.suf_l[delta] = dp[nxt_l[0]][delta];
		}
		if (nxt_r[0] <= L) {
			info.suf_r[delta] = dp[nxt_r[0]][delta];
		}
	}
	debug() << imie(info.suf_l);
	debug() << imie(info.suf_r);
	
	return info;
}

const ll large_mod = 5LL * mod * mod;

int ComputeResult(const StringInfo &lhs, const StringInfo &rhs) {
	ll ans = lhs.cnt_within;
	for (int i = 0; i < min(SZ(lhs.pref_l), SZ(rhs.pref_l)); ++i) {
		ans += (ll)lhs.pref_l[i] * rhs.suf_l[i];
		ans += (ll)lhs.pref_r[i] * rhs.suf_r[i];
		if (ans >= large_mod) { ans -= large_mod; }
	}
	return ans % mod;
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout << fixed << setprecision(11);
	cerr << fixed << setprecision(6);
	
	int n;
	cin >> n;
	for (int i = 0; i < n; ++i) {
		string s;
		cin >> s;
		string_infos.push_back(ProcessString(s));
	}
	
	for (int i = 0; i < n; ++i) {
		for (int j = 0; j < n; ++j) {
			cout << ComputeResult(string_infos[i], string_infos[j]) << " ";
		}
		cout << "\n";
	}
}