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//#pragma GCC optimize("Ofast")
//#pragma GCC optimize ("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")

#pragma warning(disable:4786)
#pragma warning(disable:4996)
#include <random>
#include <chrono>
#include <ctime>
#include<list>
#include <numeric>
#include<bitset>
#include<iostream>
#include<cstdio>
#include<algorithm>
#include<vector>
#include<set>
#include<map>
#include<functional>
#include<string>
#include<cstring>
#include<cstdlib>
#include<queue>
#include<utility>
#include<fstream>
#include<sstream>
#include<cmath>
#include<stack>
#include<assert.h>
#include<unordered_map>
#include<unordered_set>
#include <array>
#include <complex>
#include<iomanip>
using namespace std;

#define MEM(a, b) memset(a, (b), sizeof(a))
#define CLR(a) memset(a, 0, sizeof(a))
#define MAX(a, b) ((a) > (b) ? (a) : (b))
#define MIN(a, b) ((a) < (b) ? (a) : (b))
#define ABS(X) ( (X) > 0 ? (X) : ( -(X) ) )
#define S(X) ( (X) * (X) )
#define SZ(V) (int )V.size()
#define FORN(i, n) for(int i = 0; i < n; i++)
#define FORAB(i, a, b) for(int i = a; i <= b; i++)
#define ALL(V) V.begin(), V.end()
#define IN(A, B, C)  ((B) <= (A) && (A) <= (C))
#define AIN(A, B, C) assert(IN(A, B, C))

typedef long long int LL;
//typedef __int128 LLL;
typedef long long LLL;

typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
typedef pair<LL, int> PLI;
typedef pair<double, double> PDD;
typedef vector<int> VI;
typedef vector<LL> VL;
typedef vector<PLL> VPL;
typedef vector<PII> VP;
typedef vector<double> VD;
typedef vector<vector<int>> VVI;
typedef vector<string> VS;
typedef long double ld;
typedef unsigned long long ULL;

//#define MAXN 1000
//#define MAXN2 MAXN*MAXN
#define MAXN 100

//const LL MOD[2] = { 87420317, 1000000007 };
const LL MOD = 1000000007;
//const LL MOD = 998244353;
//const LL MOD = 547892069;
//const LL INF = 2000000000000000001LL; //2e18 + 1

void Add(int& a, int b) {
	a += b;
	if (a >= MOD) a -= MOD;
}

void add(PII& a, PII b) {
	Add(a.first, b.first);
	Add(a.second, b.second);
}

char S[602];
int preL[602][602], preR[602][602];
int sufL[602][602], sufR[602][602];
int len[602];
int cnt[602];

int dp[602][602];

void calcPre(int id) {
	int nxtL = len[id] + 1, nxtR = len[id] + 1;
	int l = 0;
	auto extract = [&](int at, int diff) {
		if (diff < 0 || diff > len[id] - at + 1) return 0;
		return dp[at][diff];
	};
	for (int i = len[id]; i >= 0; i--) {
		l++;
		for (int j = 0; j <= l; j++) {
			dp[i][j] = (j == 0);
			if (nxtL <= len[id]) {
				Add(dp[i][j], extract(nxtL, j + 1));
			}
			if (nxtR <= len[id]) {
				Add(dp[i][j], extract(nxtR, j - 1));
			}
		}
		if (S[i] == 'L') nxtL = i;
		else if (S[i] == 'P') nxtR = i;
	}
	for (int i = 0; i <= len[id]; i++) {
		preL[id][i] = (nxtL <= len[id]) ? extract(nxtL, i) : 0;
		preR[id][i] = (nxtR <= len[id]) ? extract(nxtR, i) : 0;
	}
}

void calcSuf(int id) {
	int nxtL = 0, nxtR = 0;
	auto extract = [&](int at, int diff) {
		if (diff < 0 || diff > at) return 0;
		return dp[at][diff];
	};
	for (int i = 0; i <= len[id] + 1; i++) {
		for (int j = 0; j <= i + 1; j++) {
			dp[i][j] = 0;
		}
		sufL[id][i] = sufR[id][i] = 0;
	}

	dp[0][0] = 1;
	cnt[id] = 0;
	for (int i = 0; i <= len[id] + 1; i++) {
		if (nxtL == i) nxtL++;
		while (nxtL <= len[id] && S[nxtL] == 'P') nxtL++;
		if (nxtR == i) nxtR++;
		while (nxtR <= len[id] && S[nxtR] == 'L') nxtR++;

		for (int j = 0; j <= i + 1; j++) {
			if (dp[i][j] == 0) continue;

			if (nxtL <= len[id]) {
				Add(dp[nxtL][j + 1], dp[i][j]);
			}
			else {
				Add(sufL[id][j + 1], dp[i][j]);
			}
			if (j) {
				if (nxtR <= len[id]) {
					Add(dp[nxtR][j - 1], dp[i][j]);
				}
				else {
					Add(sufR[id][j - 1], dp[i][j]);
				}
			}
		}
		if (i <= len[id] && S[i] == 'P') {
			Add(cnt[id], dp[i][0]);
		}
	}
}

void calc(int id) {
	calcPre(id);
	calcSuf(id);
}

void solve(int ks) {
	int n;
	scanf("%d", &n);
	for (int i = 0; i < n; i++) {
		scanf("%s", S + 1);
		len[i] = strlen(S + 1);
		calc(i);
	}

	for (int i = 0; i < n; i++) {
		for (int j = 0; j < n; j++) {
			int l = MIN(len[i], len[j]);
			LL ans = cnt[i];
			for (int k = 0; k <= l; k++) {
				ans = (ans + (1LL * sufL[i][k]) * preL[j][k] + (1LL * sufR[i][k]) * preR[j][k]) % MOD;
			}
			printf("%lld ", ans);
		}
		printf("\n");
	}
}

void gen() {
}

int main()
{
	double start_time = clock();
#ifdef LOCAL
	freopen("C:\\Home\\Contests\\F\\sample.in", "r", stdin);
	//freopen("C:\\Home\\Contests\\F\\0.out", "w", stdout);
#endif

	gen();

	if (0) {
		int T;
		scanf("%d", &T);
		//AIN(T, 1, 10);
		for (int ks = 1; ks <= T; ks++) {
			solve(ks);
			//if (ks % 1 == 0) fprintf(stderr, "%d done\n", ks);
		}
	}
	else {
		solve(1);
	}

	double end_time = clock();
	fprintf(stderr, "Time = %lf\n", (end_time - start_time) / CLOCKS_PER_SEC);
	return 0;
}