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#include <bits/stdc++.h>

using namespace std;

constexpr int MOD = 1e9 + 7;
int length;
string *dribbles;
vector<vector<pair<int, int>>> allLevels;

void read() {
    cin >> length;

    dribbles = new string[length];
    for (int i = 0; i < length; ++i) {
        cin >> dribbles[i];
    }
}

void computeLevels(vector<pair<int, int>>& levels, const string &dribbling) {
    for (char move: dribbling) {
        if (move == 'L') {
            pair<int, int> lastLevel = levels[levels.size() - 1];
            levels.emplace_back(lastLevel.first + lastLevel.second, 0);
            for (int j = (int) levels.size() - 2; j > 0; --j) {
                levels[j].first = (levels[j - 1].first + levels[j - 1].second) % MOD;
            }
        } else {
            for (int j = 0; j < levels.size() - 1; ++j) {
                levels[j].second = (levels[j + 1].first + levels[j + 1].second) % MOD;
            }
        }
    }
}

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

    read();

    for (int i = 0; i < length; ++i) {
        allLevels.emplace_back();
        vector<pair<int, int>> &levels = allLevels.back();
        levels.emplace_back(1, 0);
        computeLevels(levels, dribbles[i]);
    }
    for (int i = 0; i < length; ++i) {
        for (int j = 0; j < length; ++j) {
            vector<pair<int, int>> levels = allLevels[i];
            computeLevels(levels, dribbles[j]);
            cout << levels[0].second;
            if (j < length-1) {
                cout << " ";
            }
        }
        cout << endl;
    }
    return 0;
}