#include #include using namespace std; using namespace atcoder; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) a.begin(), a.end() #define Sort(a) sort(a.begin(), a.end()) #define RSort(a) sort(a.rbegin(), a.rend()) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef vector vld; typedef pair P; template long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T& a){ return *min_element(a.begin(), a.end()); } template auto max(const T& a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 1000000007; const long double EPS = 1e-9; const long double PI = acos(-1); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } template struct Trie { struct Node { // 頂点を表す構造体 vector next; // 子の頂点番号を格納。存在しなければ-1 vector accept; // 末端がこの頂点になる単語の word_id を保存 int c; // base からの間隔をint型で表現したもの int common; // いくつの単語がこの頂点を共有しているか Node(int c_) : c(c_), common(0) { next.assign(char_size, -1); } }; vector nodes; // trie 木本体 int root; Trie() : root(0) { nodes.push_back(Node(root)); } // 単語の挿入 void insert(const string &word, int word_id) { int node_id = 0; for (int i = 0; i < (int)word.size(); i++) { int c = (int)(word[i] - base); int &next_id = nodes[node_id].next[c]; if (next_id == -1) { // 次の頂点が存在しなければ追加 next_id = (int)nodes.size(); nodes.push_back(Node(c)); } ++nodes[node_id].common; node_id = next_id; } ++nodes[node_id].common; nodes[node_id].accept.push_back(word_id); } void insert(const string &word) { insert(word, nodes[0].common); } // 単語とprefixの検索 bool search(const string &word, bool prefix = false) { int node_id = 0; for (int i = 0; i < (int)word.size(); i++) { int c = (int)(word[i] - base); int &next_id = nodes[node_id].next[c]; if (next_id == -1) { // 次の頂点が存在しなければ終了 return false; } node_id = next_id; } return (prefix) ? true : nodes[node_id].accept.size() > 0; } // prefix を持つ単語が存在するかの検索 bool start_with(const string &prefix) { return search(prefix, true); } // 挿入した単語の数 int count() const { return (nodes[0].common); } // Trie木のノード数 int size() const { return ((int)nodes.size()); } }; ll n, k; vst s; void input(){ in(n, k); vin(s, n); } void solve(){ Trie<5, '0'> trie; rep(i, n){ trie.insert(s[i]); } ll ans = 0; map mp; rep(i, n){ if(mp.count(s[i]) == 1){ ans++; continue; } mp[s[i]]++; vst t1 = {""}; rep(j, k){ vst t2; rep(l, s[i][j] - '0', 5){ char c = '0' + l; for(auto x : t1){ x += c; if(trie.start_with(x)){ t2.push_back(x); } } } swap(t1, t2); } if(t1.size() >= 2) ans++; } out(ans); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); input(); solve(); }