#include<bits/stdc++.h>
#define rep(i,a,b) for(int i=a;i<b;i++)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#pragma GCC optimize ("-O3")
using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); }
//---------------------------------------------------------------------------------------------------
template<int MOD> struct ModInt {
    static const int Mod = MOD; unsigned x; ModInt() : x(0) { }
    ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; }
    ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; }
    int get() const { return (int)x; }
    ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; }
    ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; }
    ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; }
    ModInt &operator/=(ModInt that) { return *this *= that.inverse(); }
    ModInt operator+(ModInt that) const { return ModInt(*this) += that; }
    ModInt operator-(ModInt that) const { return ModInt(*this) -= that; }
    ModInt operator*(ModInt that) const { return ModInt(*this) *= that; }
    ModInt operator/(ModInt that) const { return ModInt(*this) /= that; }
    ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0;
        while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); }
        return ModInt(u); }
    bool operator==(ModInt that) const { return x == that.x; }
    bool operator!=(ModInt that) const { return x != that.x; }
    ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; }
};
template<int MOD> ostream& operator<<(ostream& st, const ModInt<MOD> a) { st << a.get(); return st; };
template<int MOD> ModInt<MOD> operator^(ModInt<MOD> a, unsigned long long k) {
    ModInt<MOD> r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; }
typedef ModInt<1000000007> mint;
template<typename T, int FAC_MAX> struct Comb { vector<T> fac, ifac;
    Comb() {fac.resize(FAC_MAX, 1); ifac.resize(FAC_MAX, 1);rep(i, 1, FAC_MAX) fac[i] = fac[i - 1] * i;
        rep(i, 1, FAC_MAX) ifac[i] = T(1) / fac[i];}
    T aPb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b]; }
    T aCb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b] * ifac[b]; }
    T nHk(int n, int k) { if (n == 0 && k == 0) return T(1); if (n <= 0 || k < 0) return 0;
        return aCb(n + k - 1, k); }
};

#define def INT_MAX/2
template<class V, int NV> struct SegTree {
    V comp(V l, V r) { return min(l, r); };
    vector<V> val; SegTree() { val = vector<V>(NV * 2, def); }
    V get(int l, int r) { //[l,r]
        if (l > r) return def;
        l += NV; r += NV + 1; V ret = def;
        while (l < r) { if (l & 1) ret = comp(ret, val[l++]); if (r & 1) ret = comp(ret, val[--r]); l /= 2; r /= 2; }
        return ret;
    }
    void update(int i, V v) { i += NV; val[i] = v; while (i>1) i >>= 1, val[i] = comp(val[i * 2], val[i * 2 + 1]); }
    void add(int i, V v) { update(i, val[i + NV] + v); }
};

struct ManyLCP {
    vector<string> v;
    SegTree<int, 1<<10> st;
    vector<int> dic;
    void add(string s) { v.push_back(s); }
    void build() {
        vector<pair<string, int>> p;
        rep(i, 0, v.size()) p.push_back({ v[i], i });
        sort(p.begin(), p.end());
        rep(i, 0, p.size() - 1) {
            string a = p[i].first;
            string b = p[i + 1].first;

            int cnt = 0;
            rep(i, 0, min(a.length(), b.length())) {
                if (a[i] == b[i]) cnt = i + 1;
                else break;
            }
            st.update(i, cnt);
        }
        dic.resize(v.size());
        rep(i, 0, p.size()) dic[p[i].second] = i;
    }
    int lcp(int i, int j) {
        int a = dic[i], b = dic[j];
        if (a > b) swap(a, b);
        return st.get(a, b - 1);
    }
};
/*---------------------------------------------------------------------------------------------------
　　　　　　　　　　　 ∧＿∧  
　　　　　 ∧＿∧ 　（´<_｀ ）　 Welcome to My Coding Space!
　　　　 （ ´_ゝ`）　/　 ⌒i     
　　　　／　　　＼　 　  |　|     
　　　 /　　 /￣￣￣￣/　　|  
　 ＿_(__ﾆつ/　    ＿/ .| .|＿＿＿＿  
　 　　　＼/＿＿＿＿/　（u　⊃  
---------------------------------------------------------------------------------------------------*/



Comb<mint, 101> com;
int N;
string S[20];
mint dp[1 << 20];
//---------------------------------------------------------------------------------------------------
mint ans[20];
void _main() {
    ManyLCP lcp;

    cin >> N;
    rep(i, 0, N) cin >> S[i];
    rep(i, 0, N) lcp.add(S[i]);
    lcp.build();
    
    rep(mask, 0, 1 << N) {
        int cn = 0;
        rep(i, 0, N) if ((mask >> i) & 1) cn++;
        ans[cn] += dp[mask];

        vector<int> ok(N, 0);
        int cnt = 0;
        rep(i, 0, N) if (~(mask >> i) & 1) ok[i] = 1, cnt++;

        rep(i, 0, N) if (ok[i]) {
            int c = 1;
            rep(j, 0, N) if (ok[j] && i != j) c = max(c, lcp.lcp(i, j) + 1);
            dp[mask | (1 << i)] += dp[mask] + com.aPb(cn, cn) * c;
        }
    }

    //rep(mask, 0, 1 << N) printf("dp[%d] = %d\n", mask, dp[mask]);
    
    rep(i, 1, N + 1) cout << ans[i] << endl;
}