1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
#include <bits/stdc++.h> //Michał Kuśmirek
using namespace std;     //XIII LO Szczecin

#define FOR(i, a, b) for(int i = (a); i <= (b); ++i)
#define REP(i, n) for(int i = 0; i < (n); ++i)

template<class T> int size(T && a) {
	return (int)(a.size());
}
ostream& operator << (ostream &os, string str) {
    for(char c : str) os << c;
    return os;
}
template <class A, class B> ostream& operator << (ostream &os, const pair<A, B> &p) {
	return os << '(' << p.first << "," << p.second << ')';
}
template <class T> auto operator << (ostream &os, T &&x) -> decltype(x.begin(), os) {
	os << '{';
	for(auto it = x.begin(); it != x.end(); ++it)
		os << *it << (it == prev(x.end()) ? "" : " ");
	return os << '}';
}
template <class T> ostream& operator << (ostream &os, vector<vector<T>> vec) {
    for(auto x : vec)
    	os << "\n  " << x;
    return os;
}
void dump() {}
template <class T, class... Args> void dump(T &&x, Args... args) {
    cerr << x << "; ";
    dump(args...);
}
#ifdef DEBUG
# define debug(x...) cerr << "[" #x "]: ", dump(x), cerr << '\n'
#else 
# define debug(...) 0
#endif

//--------------------------------------------------

const int MOD = int(1e9) + 7;
int add(int &a, int b) {
	a += b;
	if(a >= MOD)
		a -= MOD;

	return a;
}

int solve(string s) {
	int n = size(s);

	vector<int> suf(n);
	suf[n - 1] = (s[n - 1] == 'P');
	for(int i = n - 2; i >= 0; --i)
		suf[i] = suf[i + 1] + (s[i] == 'P');

	vector<int> nextP(n, n), nextL(n, n);
	for(int i = n - 2; i >= 0; --i) {
		if(s[i + 1] == 'P')
			nextP[i] = i + 1;
		else
			nextP[i] = nextP[i + 1];

		if(s[i + 1] == 'L')
			nextL[i] = i + 1;
		else
			nextL[i] = nextL[i + 1];
	}

	debug(nextL);
	debug(nextP);

	vector<vector<int>> available(n + 1, vector<int>(n / 2 + 1));
	int st = 0;
	while(st < n and s[st] == 'P')
		++st;

	if(st == n - 1 and s[st] == 'P')
		return 0;

	available[st][0] = 1;

	int answer = 0;
	REP(i, n) {
		REP(bilans, n / 2 + 1) {
			if(available[i][bilans] == 0)
				continue;

			if(s[i] == 'P') {
				if(bilans == 1)
					add(answer, available[i][bilans]);

				if(bilans > 0) {
					int j = nextL[i];
					add(available[j][bilans - 1], available[i][bilans]);

					j = nextP[i];
					add(available[j][bilans - 1], available[i][bilans]);
				}
			}

			if(s[i] == 'L') {
				if(bilans < n / 2) {
					int j = nextL[i];
					add(available[j][bilans + 1], available[i][bilans]);

					j = nextP[i];
					add(available[j][bilans + 1], available[i][bilans]);
				}
			}
		}
	}

	return answer;
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);

	//TESTING
	//string input;
	//cin >> input;
	//cout << solve(input);
	//return 0;

	int n; cin >> n;
	vector<string> s(n);
	REP(i, n)
		cin >> s[i];

	REP(i, n) {
		REP(j, n) 
			cout << solve(s[i] + s[j]) << ' ';
		cout << '\n';
	}
}