#include using namespace std; using Int = long long; constexpr static int mod = 1e9 + 7; constexpr static int inf = (1 << 30) - 1; constexpr static Int infll = (1LL << 61) - 1; int Competitive_Programming = (ios_base::sync_with_stdio(false), cin.tie(nullptr), cout << fixed << setprecision(15), 0); #pragma region Debug Template template string to_string(pair p); template string to_string(tuple p); template string to_string(tuple p); string to_string(const string &s) { return '"' + s + '"'; } string to_string(const char *s) { return to_string((string)s); } string to_string(bool b) { return (b ? "true" : "false"); } string to_string(vector v) { bool first = true; string res = "{"; for (int i = 0; i < static_cast(v.size()); i++) { if (!first) { res += ", "; } first = false; res += to_string(v[i]); } res += "}"; return res; } template string to_string(bitset v) { string res = ""; for (size_t i = 0; i < N; i++) { res += static_cast('0' + v[i]); } return res; } template string to_string(A v) { bool first = true; string res = "{"; for (const auto &x : v) { if (!first) { res += ", "; } first = false; res += to_string(x); } res += "}"; return res; } template string to_string(pair p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template string to_string(tuple p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")"; } template string to_string(tuple p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")"; } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } #ifdef LOCAL #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #else #define debug(...) 42 #endif #pragma endregion int enc(string s) { int ret = 0; for (int i = 0; i < s.size(); i++) { ret *= 4; ret += s[i] - 'A'; } return ret; } int dfs(string &s, vector &dp, vector &mp, vector &used) { int e = enc(s); if (dp[e] != -1) { int ret = (used[e] ? 0 : dp[e] + mp[e]); // dp[e] = 0; used[e] = 1; return ret; } // used[e] = 1; int ret = 0, K = s.size(); for (int i = 0; i < K; i++) { if (s[i] == 'D') continue; s[i]++; ret += dfs(s, dp, mp, used); if(used[enc(s)] == 0 and mp[enc(s)] == 1) ret++; used[enc(s)] = 1; s[i]--; } dp[e] = ret; // debug_out(s, dp[e], e); return ret; } int main() { int N, K; cin >> N >> K; vector s(N); vector mp(1 << (2 * K)); for (int i = 0; i < N; i++) { cin >> s[i]; mp[enc(s[i])]++; // debug_out(s[i], enc(s[i])); } vector used(1 << (2 * K)), dp(1 << (2 * K), -1); int ans = 0; for (int i = 0; i < N; i++) { int t = dfs(s[i], dp, mp, used); ans += t; // debug_out(s[i], t); dp[enc(s[i])] = 0; } cout << ans << endl; // debug_out(mp, dp); }