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// [5A] Monety, Kamil Debowski
#include <bits/stdc++.h>
using namespace std;
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
  enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
  ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
  *this << "[";
  for (auto it = d.b; it != d.e; ++it)
	*this << ", " + 2 * (it == d.b) << *it;
  ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
// debug & operator << (debug & dd, P p) { dd << "(" << p.x << ", " << p.y << ")"; return dd; }

int getScore(const string& s) {
	int total = 0;
	int expo = (int) s.length() - 1;
	bool same = true;
	for (char c : s) {
		if (c != s[0]) {
			same = false;
		}
		if (!same) expo--;
		total += (1 << expo) * (c == 'A' ? +1 : -1);
	}
	return total;
}

long long target;
long long answer;
int n, m;

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

void solve() {
	if (m == 1) {
		vector<vector<int>> C(n + 1, vector<int>(n + 1));
		for (int i = 0; i <= n; i++) {
			C[i][0] = C[i][i] = 1;
			for (int j = 1; j < i; j++) {
				C[i][j] = (C[i-1][j-1] + C[i-1][j]) % MOD;
			}
		}
		for (int j = 0; j <= n; j++) {
			if (j - (n - j) == target) {
				answer = (answer + C[n][j]) % MOD;
			}
		}
		return;
	}
	vector<vector<vector<long long>>> empty(n+1);
	for (int started = 0; started <= n; started++) {
		empty[started].resize(4 * started + 1, vector<long long>(2 * m * started + 1));
	}
	auto dp = empty;
	auto new_dp = empty;
	dp[0][0][0] = 1;
	for (int bit = 0; bit <= m - 2; bit++) {
		for (int i = 0; i <= n; i++) {
			for (int started = 0; started <= n; started++) {
				
				// hack - skip if can't reach the target
				vector<bool> skip((2 * bit + 1) * started + 1);
				for (int sumInt = 0; sumInt < (int) skip.size(); sumInt++) {
					// int max_change = 2 * started + (n - started) * 2 * m;
					int max_change = started + (n - started) * 2 * m;
					if (abs(sumInt - (target / (1 << (m - 2)))) > max_change
					&& abs(-sumInt - (target / (1 << (m - 2)))) > max_change) {
						skip[sumInt] = true;
					}
				}
				
				for (int sum = -2 * started; sum <= 2 * started; sum++) {
					if (bit == m - 2) {
						for (int sumInt = 0; sumInt <= 2 * m * started; sumInt++) {
							long long& me = dp[started][sum+2*started][sumInt];
							if (!me) {
								continue;
							}
							me %= MOD;
							assert(abs(sum) <= n);
							auto add = [&](long long& x) { x += me; };
							if (i == n) {
								assert(started == n);
								if (sum + sumInt == target / (1 << (m - 2))) {
									add(answer);
								}
								if (sumInt != 0 && sum - sumInt == target / (1 << (m - 2))) {
									add(answer);
								}
							}
							else if (i < started) {
								add(new_dp[started][sum+2*started][sumInt]);
							}
							else {
								for (int a : {-1, 1}) {
									for (int b : {2 * m, 2 * m - 3}) {
										debug() << imie(bit) imie(i+1) imie(started) imie(sum) imie(sumInt+a*b);
										// add(dp[bit][i+1][started+1][sum][sumInt + a * b]);
										for (int x : {sumInt + a * b, -sumInt + a * b}) {
											if (x >= 0) {
												add(new_dp[started+1][sum+2*(started+1)][x]);
											}
											if (sumInt == 0) break;
										}
									}
								}
							}
							me = 0;
						}
					}
					else { // bit < m - 2
						for (int sumInt = started % 2; sumInt <= (2 * bit + 1) * started; sumInt += 2) {
							
							long long& me = dp[started][sum+2*started][sumInt];
							if (!me) {
								continue;
							}
							me %= MOD;
							
							// hack
							if (skip[sumInt]) {
								me = 0;
								continue;
							}
							
							auto add = [&](long long& x) { x += me; };
							
							if (i == n) {
								if (abs(sum) % 2 == bool(abs(target) & (1 << bit))) {
									int x = sum;
									if (x % 2 && target < 0) {
										x++;
									}
									add(new_dp[started][(x>>1)+2*started][sumInt]);
								}
							}
							else if (i < started) {
								add(new_dp[started][sum+1+2*started][sumInt]);
								add(new_dp[started][sum-1+2*started][sumInt]); // never negative???
							}
							else {
								add(new_dp[started][sum+2*started][sumInt]);
								int whole = 2 * bit + 1;
								for (int b : {-1, +1}) {
									// add(dp[bit][i+1][started+1][sum+a][sumInt+b*whole]);
									for (int x : {sumInt + b*whole, -sumInt + b*whole}) {
										if (x >= 0) {
											for (int a : {-1, +1}) {
												add(new_dp[started+1][sum+a+2*(started+1)][x]);
											}
										}
										if (sumInt == 0) break;
									}
								}
							}
							me = 0;
						}
					}
				}
			}
			swap(dp, new_dp);
		}
	}
}

int main() {
	int k;
	cin >> n >> m >> k;
	n -= k;
	for (int rep = 0; rep < k; rep++) {
		string s;
		cin >> s;
		for (char& c : s) {
			if (c == 'C') c = 'A';
			if (c == 'N') c = 'B';
		}
		target -= getScore(s);
		// debug() << imie(s) imie(getScore(s));
	}
	debug() << imie(target);
	
	int N = n;
	for (n = 0; n <= N; n++) {
		answer = 0;
		solve();
		cout << answer % MOD << " ";
	}
	cout << endl;
}