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#include<bits/stdc++.h>
 
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("trapv")
 
#define st first
#define nd second
#define pb push_back
#define pp pop_back
#define eb emplace_back
#define mp(a, b) make_pair(a, b)
#define all(x) (x).begin(), (x).end()
#define rev(x) reverse(all(x))
#define sor(x) sort(all(x))
#define sz(x) (int)(x).size()
#define rsz(x) resize(x)
 
using namespace std;
 
///~~~~~~~~~~~~~~~~~~~~~~~~~~
 
template <typename H, typename T> 
ostream& operator<<(ostream& os, pair<H, T> m){
	return os <<"("<< m.st<<", "<<m.nd<<")";
}
template <typename H> 
ostream& operator<<(ostream& os, vector<H> V){
	os<<"{";
	for(int i=0; i<V.size(); i++){
		if(i)os<<" ";
		os<<V[i];
	}
	os<<"}";
	return os;
}
 
void debug(){cerr<<"\n";}
template <typename H, typename... T>
void debug(H h, T... t) {cerr<<h; if (sizeof...(t)) cerr << ", "; debug(t...);}
#define deb(x...) cerr<<#x<<" = ";debug(x);
 
///~~~~~~~~~~~~~~~~~~~~~~~~~
 
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<pii > vii;
typedef vector<ll> vl;
typedef vector<pll> vll;
typedef string str;
 
#define BOOST ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
 
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
 
const int N=605, INF=1e9+5, mod=1e9+7;

struct modint{
	int n=0;
	modint(){}
	modint(ll x){
		n=x%mod;
		if(n<0)n+=mod;
	}
	operator int(){
		return n;
	}
	modint operator+(modint a){a.n = n+a.n; if(a.n>=mod)a.n-=mod;return a;}
	modint operator+=(modint a){return (*this)=(*this)+a;}
	modint operator-(modint a){a.n = n-a.n; if(a.n<0)a.n+=mod;return a;}
	modint operator-=(modint a){return (*this)=(*this)-a;}
	modint operator*(modint a){a.n = (n*1ll*a.n)%mod; return a;}
	modint operator*=(modint a){return (*this)=(*this)*a;}
	modint operator^(const ll &m)const{
		modint a(1);
		if(m==0)return a;
		if(m==1)return (*this);
		a=(*this)^(m/2);
		a*=a;
		return a*((*this)^(m&1));
	}
	modint odw(){
		return (*this)^((ll)mod-2);
	}
	modint operator/(modint a){return (*this)*a.odw();}
	modint operator/=(modint a){return (*this)=(*this)/a;}
	bool operator==(modint a){return a.n==n;}
	friend ostream& operator<<(ostream& os, modint m) {
		return os << m.n; 
	}
};

modint dp[N][N];
modint ile[N][N][2], ile2[N][N][2];
modint pel[N];
int nxt[N][2];
int main(){
	//BOOST;
	int n;
	cin>>n;
	vector<str> s(n);
	for(auto &t:s)cin>>t;
	for(int i=0; i<n; i++){
		rev(s[i]);
		nxt[s[i].size()][0]=nxt[s[i].size()][1]=s[i].size();
		//deb(s[i]);
		for(int j=s[i].size()-1; j>=0; j--){
			nxt[j][s[i][j]=='P']=nxt[j+1][s[i][j]=='P'];
			nxt[j][s[i][j]=='L']=j;
		}
		dp[nxt[0][0]][1]=1;
		for(int j=0; j<s[i].size(); j++){
			//cerr<<nxt[j][0]<<" "<<nxt[j][1]<<", ";
			for(int k=0; k<=j+1; k++){
				//cerr<<dp[j][k]<<" \n"[k==j+1];
				if(k)dp[nxt[j+1][1]][k-1]+=dp[j][k];				
				dp[nxt[j+1][0]][k+1]+=dp[j][k];
				ile[i][k][s[i][j]=='L']+=dp[j][k];
			}
		}
		for(int j=0; j<=s[i].size(); j++){
			for(int k=0; k<=s[i].size()+1; k++){
				dp[j][k]=0;
			}
		}
		//cerr<<"\n";for(int j=0; j<=s.size(); j++){cerr<<"("<<ile[i][j][0]<<" "<<ile[i][j][1]<<")"<<" \n"[j==s.size()];}cerr<<"\n";
		rev(s[i]);
	}
	for(int i=0; i<n; i++){
		//deb(s[i]);
		nxt[s[i].size()][0]=nxt[s[i].size()][1]=s[i].size();
		for(int j=s[i].size()-1; j>=0; j--){
			nxt[j][s[i][j]=='P']=nxt[j+1][s[i][j]=='P'];
			nxt[j][s[i][j]=='L']=j;
		}
		dp[nxt[0][1]][1]=1;
		if(nxt[0][1]==s[i].size())ile2[i][0][0]+=1;
		//deb(dp[1][2]);
		for(int j=0; j<s[i].size(); j++){
			//cerr<<nxt[j][0]<<" "<<nxt[j][1]<<", ";
			for(int k=0; k<=j+1; k++){
				//cerr<<dp[j][k]<<" \n"[k==j+1];
				if(k){
					if(nxt[j+1][0]!=s[i].size())dp[nxt[j+1][0]][k-1]+=dp[j][k];
					else ile2[i][k][1]+=dp[j][k];
				}
				else pel[i]+=dp[j][k];
				if(nxt[j+1][1]!=s[i].size())dp[nxt[j+1][1]][k+1]+=dp[j][k];
				else ile2[i][k][0]+=dp[j][k];				
			}
		}
		for(int j=0; j<=s[i].size(); j++){
			for(int k=0; k<=s[i].size()+1; k++){
				dp[j][k]=0;
			}
		}
		//cerr<<"\n";for(int j=0; j<=s.size(); j++){cerr<<"("<<ile2[i][j][0]<<" "<<ile2[i][j][1]<<")"<<" \n"[j==s.size()];}cerr<<"\n";
	}
	for(int i=0; i<n; i++){
		//deb(pel[i]);
		for(int j=0; j<n; j++){
			modint ans=0;
			for(int k=0; k<=min(s[i].size(), s[j].size()); k++){
				ans+=ile2[i][k][0]*ile[j][k][1];
				ans+=ile2[i][k][1]*ile[j][k][0];
			}
			cout<<ans+pel[i]<<" ";
		}
		cout<<"\n";
	}
}