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#include <bits/stdc++.h>

using namespace std;

#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;

#ifdef LOCAL
ostream &operator<<(ostream &out, string str)
{
    for (char c : str)
        out << c;
    return out;
}
template <class L, class R>
ostream &operator<<(ostream &out, pair<L, R> p) { return out << "(" << p.first << ", " << p.second << ")"; }
template <class L, class R, class S>
ostream &operator<<(ostream &out, tuple<L, R, S> p)
{
    auto &[a, b, c] = p;
    return out << "(" << a << ", " << b << ", " << c << ")";
}
template <class T>
auto operator<<(ostream &out, T a) -> decltype(a.begin(), out)
{
    out << '{';
    for (auto it = a.begin(); it != a.end(); it = next(it))
        out << (it != a.begin() ? ", " : "") << *it;
    return out << '}';
}
void dump() { cerr << "\n"; }
template <class T, class... Ts>
void dump(T a, Ts... x)
{
    cerr << a << ", ";
    dump(x...);
}
#define debug(...) cerr << "[" #__VA_ARGS__ "]: ", dump(__VA_ARGS__)
#else
#define debug(...) 42
#endif

const ll MOD = 1'000'000'007;

main()
{
    cin.tie(0)->sync_with_stdio(0);
    cin.exceptions(cin.failbit);

    int Z = 1;
    // cin >> Z;
    while (Z--)
    {
        int n, m, k;
        cin >> n >> m >> k;
        vi V(k, 0);
        for (int i = 0; i < k; i++)
        {
            string S;
            cin >> S;
            reverse(all(S));
            int mult = 1;
            for (auto &t : S)
            {
                if (t == 'C')
                    V[i] += mult;
                mult *= 2;
            }
        }
        vector<vl> O(m + 1);
        O[0] = {0};
        for (int i = 1; i <= m; i++)
        {
            O[i].resize((1 << i));
            for (int j = 0; j < O[i].size(); j++)
            {
                pll temp = {LONG_LONG_MAX, -LONG_LONG_MAX};
                int t = j;
                for (int k = 1; k <= i; k++)
                {
                    if (t & 1)
                        temp.second = max(temp.second, O[i - k][t / 2]);
                    else
                        temp.first = min(temp.first, O[i - k][t / 2]);
                    t /= 2;
                }
                if (temp.first == LONG_LONG_MAX)
                    O[i][j] = temp.second + (1 << (m - 1));
                else if (temp.second == -LONG_LONG_MAX)
                    O[i][j] = temp.first - (1 << (m - 1));
                else
                {
                    swap(temp.first, temp.second);
                    if (temp.first < 0 && temp.second > 0)
                    {
                        ll mult = 1;
                        ll ans;
                        while (abs(temp.first) / mult)
                            mult *= 2;
                        mult /= 2;
                        ans = mult;
                        mult = 1;
                        while (temp.second / mult)
                            mult *= 2;
                        mult /= 2;
                        if (ans < mult)
                            O[i][j] = (temp.second / mult) * mult;
                        else
                            O[i][j] = -(temp.first / ans) * ans;
                    }
                    else if (!temp.first && !temp.second)
                        O[i][j] = 0;
                    else
                    {
                        bool change = 0;
                        if (temp.first < 0)
                        {
                            change = 1;
                            swap(temp.first, temp.second);
                            temp.first = -temp.first;
                            temp.second = -temp.second;
                        }
                        ll mult = 1;
                        bool works = 1;
                        while (works)
                        {
                            mult *= 2;
                            ll a = temp.first / mult, b = (temp.second - 1) / mult;
                            works = 0;
                            if (a < b)
                                works = 1;
                        }
                        mult /= 2;
                        O[i][j] = ((temp.second - 1) / mult) * mult;
                        if (change)
                            O[i][j] = -O[i][j];
                    }
                }
            }
        }
        /*for (auto &a : O)
            debug(a);*/
        ll Osum = 0;
        for (auto &a : V)
            Osum += O[m][a];
        if (Osum)
            cout << 0 << ' ';
        else
            cout << 1 << ' ';
        if (k < n)
        {
            map<ll, ll> M1, M2;
            for (auto &a : O[m])
            {
                if (M2.find(a) == M2.end())
                    M2[a] = 0;
                M2[a]++;
            }
            if (M2.find(-Osum) != M2.end())
                cout << (M2[-Osum]) % MOD << ' ';
            else
                cout << 0 << ' ';
            for (int i = 2; i + k <= n; i++)
            {
                ll sum = 0, temp;
                if (i & 1)
                {
                    M2.clear();
                    for (auto &a : O[m])
                        for (auto &[x, y] : M1)
                        {
                            if (M2.find(a + y) == M2.end())
                                M2[a + y] = 0;
                            M2[a + y]++;
                        }
                    for (auto &[x, y] : M1)
                        if (M2.find(-x - Osum) != M2.end())
                        {
                            temp = (M2[-x - Osum] * y) % MOD;
                            sum = (sum + temp) % MOD;
                        }
                }
                else
                {
                    swap(M1, M2);
                    for (auto &a : M1)
                    {
                        if (M1.find(-a.first - Osum) != M1.end())
                        {
                            temp = (a.second * M1[-a.first - Osum]) % MOD;
                            sum = (sum + temp) % MOD;
                        }
                    }
                }
                cout << sum << ' ';
            }
        }
        cout << endl;
    }
}