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#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
namespace debug { template <class c> struct rge { c b, e; }; template <class c> rge<c> range(c i, c j) { return rge<c>{i, j}; } template <class c> char spk(...); template <class c> auto spk(c* a) -> decltype(cerr << *a, 0); struct stream { ~stream() { cerr << endl; } template <class c> typename enable_if <sizeof spk<c>(0) != 1, stream&>::type operator<<(c i) { cerr << boolalpha << i; return *this; } template <class c> typename enable_if <sizeof spk<c>(0) == 1, stream&>::type operator<<(c i) { return *this << range(begin(i), end(i)); } template <class a, class b> stream& operator<<(pair <a,b> p) { return *this << "(" << p.first << ", " << p.second << ")"; } template <class c> stream& operator<<(rge<c> d) { *this << "["; for (auto it=d.b; it!=d.e; it++) *this << ", " + 2 * (it == d.b) << *it; return *this << "]"; } stream& _dbg(const string& s, int i, int b) { return *this; } template <class c, class ... cs> stream& _dbg(const string& s, int i, int b, c arg, cs ... args) { if (i == (int)(s.size())) return (*this << ": " << arg); b += (s[i] == '(') + (s[i] == '[') + (s[i] == '{') - (s[i] == ')') - (s[i] == ']') - (s[i] == '}'); return (s[i] == ',' && b == 0) ? (*this << ": " << arg << "     ")._dbg(s, i + 1, b, args...) : (s[i] == ' ' ? *this : *this << s[i])._dbg(s, i + 1, b, arg, args...); } };}
#define dout debug::stream()
#define dbg(...) ((dout << ">> ")._dbg(#__VA_ARGS__, 0, 0, __VA_ARGS__))
#define f first
#define s second
#define sc scanf
#define pr printf
#define mp make_pair
#define pb push_back
#define all(x) x.begin(),x.end()
#define ss(x) ((int)((x).size()))
#define rep(i,a,b) for(int i=(a);i<=(b);i++)
#define per(i,a,b) for(int i=(b);i>=(a);i--)
#define upgrade cin.tie(0)->sync_with_stdio(0);
#define lowb(v,x) (lower_bound(all(v),(x))-v.begin())
#define uppb(v,x) (upper_bound(all(v),(x))-v.begin())
#define erase_duplicates(x) {sort(all(x));x.resize(unique(all(x))-x.begin());}
template <class p, class q> pair<p,q> operator-(pair<p,q> a, pair<p,q> b) { return mp(a.f - b.f, a.s - b.s); }
template <class p, class q> pair<p,q> operator+(pair<p,q> a, pair<p,q> b) { return mp(a.f + b.f, a.s + b.s); }
template <class p, class q> void umin(p &a, const q &b) { if (a > b) a = b; }
template <class p, class q> void umax(p &a, const q &b) { if (a < b) a = b; }
using lf=long double;
using ll=long long;
using cll=const ll;
using cint=const int;
using pll=pair<ll,ll>;
using pii=pair<int,int>;
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ //

const int mod = 1000000007;
const int N = 605;
char s[N];
int dp1[N][N][2][2][2];
int dp2[N][N][2][2][2];
int out[N][N];
int prel[N][N];
int prer[N][N];
int sufl[N][N];
int sufr[N][N];

void add(int& a, const int& b){
	a += b;
	if (a >= mod){
		a -= mod;
	}
}

void makedp(char* s, int who, bool reversed)
{
	static int dp[N][2][2][2];
	
	int len = strlen(s + 1);

	if (reversed){
		reverse(s + 1, s + len + 1);
		rep(i, 1, len){
			if (s[i] == 'L'){
				s[i] = 'P';
			}else{
				s[i] = 'L';
			}
		}
	}

	rep(bil, 0, len) rep(l, 0, 1) rep(r, 0, 1) rep(f, 0, 1){
		dp[bil][l][r][f] = 0;
	}

	dp[0][0][0][0] = 1;
	
	rep(i, 0, len - 1){
		char c = s[i + 1];
		if (c == 'L') per(bil, 0, i) rep(f, 0, 1){
			add(dp[bil][1][0][f], dp[bil][0][0][f]);
			add(dp[bil][1][1][f], dp[bil][0][1][f]);
			add(dp[bil + 1][0][0][0], dp[bil][0][0][f]);
			add(dp[bil + 1][0][0][0], dp[bil][0][1][f]);
			dp[bil][0][0][f] = 0;
			dp[bil][0][1][f] = 0;
		}
		if (c == 'P') rep(bil, 1, i) rep(f, 0, 1){
			add(dp[bil][0][1][f], dp[bil][0][0][f]);
			add(dp[bil][1][1][f], dp[bil][1][0][f]);
			add(dp[bil - 1][0][0][1], dp[bil][0][0][f]);
			add(dp[bil - 1][0][0][1], dp[bil][1][0][f]);
			dp[bil][0][0][f] = 0;
			dp[bil][1][0][f] = 0;
		}
	}


	rep(bil, 0, len) rep(l, 0, 1) rep(r, 0, 1) rep(f, 0, 1){
		if (dp[bil][l][r][f] == 0) continue;
		(reversed ? dp2 : dp1)[who][bil][l][r][f] = dp[bil][l][r][f];
	}
}

int main()
{
	int n;

	scanf("%d", &n);

	rep(i, 1, n){
		scanf("%s", s + 1);
		makedp(s, i, 0);
		makedp(s, i, 1);
	}

	rep(i, 1, n) rep(bil, 0, 600) rep(l, 0, 1) rep(r, 0, 1) rep(f, 0, 1){
		int val1 = dp1[i][bil][l][r][f];
		int val2 = dp2[i][bil][l][r][f];
		if (l == 0) add(prel[i][bil], val1);
		if (r == 0) add(prer[i][bil], val1);
		if (f == 0) add(sufr[i][bil], val2);
		if (f == 1) add(sufl[i][bil], val2);
	}

	rep(i, 1, n) rep(j, 1, n) rep(bil, 0, 600){
		add(out[i][j], 1ll * prel[i][bil] * sufl[j][bil] % mod);
		add(out[i][j], 1ll * prer[i][bil] * sufr[j][bil] % mod);
	}

	rep(i, 1, n){
		rep(j, 1, n){
			add(out[i][j], mod - 1);
			printf("%d ", out[i][j]);
		}
		printf("\n");
	}

	return 0;
}