#include #include #include #include using namespace std; constexpr long long mod = 1e9 + 7; int main() { int n; cin >> n; vector s(n); for (int i = 0; i < n; i++) { cin >> s[i]; } vector> lcp(n, vector(n)); for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { int k = 0; while (k < s[i].size() && k < s[j].size() && s[i][k] == s[j][k]) k++; lcp[i][j] = k; } } vector dp(1 << n); vector way(1 << n); way[0] = 1; for (int i = 0; i < 1 << n; i++) { for (int j = 0; j < n; j++) { if (i >> j & 1) continue; int l = 0; for (int k = 0; k < n; k++) { if (j == k) continue; if (~i >> k & 1) { l = max(l, lcp[j][k]); } } (dp[i | 1 << j] += dp[i] + (l + 1) * way[i]) %= mod; (way[i | 1 << j] += way[i]) %= mod; } } vector ans(n + 1); for (int i = 0; i < 1 << n; i++) { int cnt = 0; for (int j = 0; j < n; j++) { cnt += i >> j & 1; } ans[cnt] += dp[i]; } for (int i = 1; i <= n; i++) { cout << ans[i] % mod << endl; } }