// >>> TEMPLATES #include using namespace std; using ll = long long; using ld = long double; using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; #define int ll #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep1(i, n) for (int i = 1; i <= (int)(n); i++) #define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define rep1R(i, n) for (int i = (int)(n); i >= 1; i--) #define loop(i, a, B) for (int i = a; i B; i++) #define loopR(i, a, B) for (int i = a; i B; i--) #define all(x) begin(x), end(x) #define allR(x) rbegin(x), rend(x) #define pb push_back #define eb emplace_back #define fst first #define snd second template auto constexpr inf_ = numeric_limits::max()/2-1; auto constexpr INF32 = inf_; auto constexpr INF64 = inf_; auto constexpr INF = inf_; #ifdef LOCAL #include "debug.hpp" #define oj_local(x, y) (y) #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #define oj_local(x, y) (x) #endif template struct pque : priority_queue, Comp> { vector &data() { return this->c; } void clear() { this->c.clear(); } }; template using pque_max = pque>; template using pque_min = pque>; template ::value, int> = 0> ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template ::value, int> = 0> ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template ())), class = typename enable_if::value>::type> istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; } template ostream& operator<<(ostream& os, pair const& p) { return os << p.first << " " << p.second; } template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup; template struct FixPoint : private F { constexpr FixPoint(F&& f) : F(forward(f)) {} template constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward(x)...); } }; struct MakeFixPoint { template constexpr auto operator|(F&& f) const { return FixPoint(forward(f)); } }; #define MFP MakeFixPoint()| #define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__) template struct vec_impl { using type = vector::type>; template static type make_v(size_t n, U&&... x) { return type(n, vec_impl::make_v(forward(x)...)); } }; template struct vec_impl { using type = T; static type make_v(T const& x = {}) { return x; } }; template using vec = typename vec_impl::type; template auto make_v(Args&&... args) { return vec_impl::make_v(forward(args)...); } template void quit(T const& x) { cout << x << endl; exit(0); } template constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; } template constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)y; return true; } return false; } template constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits::value_type{}); } template int sz(T const& x) { return x.size(); } template int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); } template int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); } constexpr ll mod(ll x, ll m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; } constexpr ll div_floor(ll x, ll y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); } constexpr ll div_ceil(ll x, ll y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); } constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 }; constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 }; constexpr int popcnt(ll x) { return __builtin_popcountll(x); } mt19937_64 seed_{random_device{}()}; template Int rand(Int a, Int b) { return uniform_int_distribution(a, b)(seed_); } i64 irand(i64 a, i64 b) { return rand(a, b); } // [a, b] u64 urand(u64 a, u64 b) { return rand(a, b); } // template void shuffle(It l, It r) { shuffle(l, r, seed_); } template V &operator--(V &v) { for (auto &x : v) --x; return v; } template V &operator++(V &v) { for (auto &x : v) ++x; return v; } bool next_product(vector &v, int m) { repR (i, v.size()) if (++v[i] < m) return true; else v[i] = 0; return false; } bool next_product(vector &v, vector const& s) { repR (i, v.size()) if (++v[i] < s[i]) return true; else v[i] = 0; return false; } template int sort_unique(vec &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); return v.size(); } template auto prefix_sum(It l, It r) { vector s = { 0 }; while (l != r) s.emplace_back(s.back() + *l++); return s; } template auto suffix_sum(It l, It r) { vector s = { 0 }; while (l != r) s.emplace_back(*--r + s.back()); reverse(s.begin(), s.end()); return s; } template T pop(vector &a) { auto x = a.back(); a.pop_back(); return x; } template T pop(priority_queue &a) { auto x = a.top(); a.pop(); return x; } template T pop(queue &a) { auto x = a.front(); a.pop(); return x; } template T pop_front(deque &a) { auto x = a.front(); a.pop_front(); return x; } template T pop_back(deque &a) { auto x = a.back(); a.pop_back(); return x; } template T pop_front(set &a) { auto x = *a.begin(); a.erase(a.begin()); return x; } template T pop_back(set &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; } template T pop_front(multiset &a) { auto it = a.begin(); auto x = *it; a.erase(it); return x; } template T pop_back(multiset &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; } // <<< // >>> hash value struct Hash { using u64 = uint64_t; using i32 = int32_t; struct mint; Hash() {}; Hash(mint val, i32 len) : val(val), len(len) {} // do not use for `const char*' template Hash(Str const& s) : val(0), len(0) { for (auto c : s) *this = *this + Hash(c); } template , int> = 0> Hash(Int x) : val(x ^ pow(1).x), len(1) {} Hash operator+(Hash const& r) const { return { val * pow(r.len) + r.val, len + r.len }; } Hash operator-() const { return { - pow(-len) * val, -len }; } Hash operator-(Hash const& r) const { return *this + (-r); } bool operator==(Hash const& r) const { return val == r.val && len == r.len; } bool operator!=(Hash const& r) const { return !(*this == r); } bool operator<(Hash const& r) const { return val.x == r.val.x ? len < r.len : val.x < r.val.x; } static constexpr u64 mod = (1ull<<61) - 1; struct mint { u64 x; constexpr mint(u64 x = 0) : x(x) { x = (x & mod) + (x >> 61); x = (x < mod ? x : x-mod); } constexpr bool operator==(mint const& r) const { return x == r.x; } constexpr bool operator!=(mint const& r) const { return x != r.x; } constexpr mint operator+() const { return *this; } constexpr mint operator-() const { return mint()-*this; } constexpr mint& operator+=(mint const& r) { x += r.x; x = (x < mod ? x : x-mod); return *this; } constexpr mint& operator-=(mint const& r) { x += mod-r.x; x = (x < mod ? x : x-mod); return *this; } constexpr mint& operator*=(mint r) { x = mul(x, r.x); return *this; } constexpr mint operator+(mint r) const { return mint(*this) += r; } constexpr mint operator-(mint r) const { return mint(*this) -= r; } constexpr mint operator*(mint r) const { return mint(*this) *= r; } #ifdef LOCAL string to_s(mint x) { return to_s(x.x); } #endif }; mint val = 0; i32 len = 0; static mint pow(int n) { static u64 B = 0, iB = 1; if (B == 0) { mt19937_64 mt(random_device{}()); B = uniform_int_distribution(300, mod-300)(mt); #ifdef LOCAL B = 10000; #endif u64 k = mod - 2, p = B; for ( ; k; k >>= 1, p = mul(p, p)) if (k & 1) iB = mul(iB, p); } if (n >= 0) { static vector pow(1, 1); if (n >= (int)pow.size()) { int m = pow.size(); pow.resize(n + 1); for (int i = m; i < n + 1; i++) pow[i] = mul(pow[i-1], B); } return pow[n]; } else { static vector pow(1, 1); n = -n; if (n >= (int)pow.size()) { int m = pow.size(); pow.resize(n + 1); for (int i = m; i < n + 1; i++) pow[i] = mul(pow[i-1], iB); } return pow[n]; } } static constexpr u64 mul(u64 a, u64 b) { auto val = __uint128_t(a) * b; val = (val & mod) + (val >> 61); return val >= mod ? val - mod : val; // constexpr u64 mask30 = (1ull << 30) - 1; // constexpr u64 mask31 = (1ull << 31) - 1; // u64 au = a >> 31, ad = a & mask31; // u64 bu = b >> 31, bd = b & mask31; // u64 mid = ad * bu + au * bd, midu = mid >> 30, midd = mid & mask30; // u64 val = au * bu * 2 + midu + (midd << 31) + ad * bd; // val = (val & mod) + (val >> 61); // return val >= mod ? val - mod : val; } #ifdef LOCAL friend string to_s(Hash const& hash) { return to_s(make_pair(hash.val.x, hash.len)); } #endif }; // <<< int32_t main() { int n, m; cin >> n >> m; set st; rep (i, n) { string s; cin >> s; vector sub(m+1); repR (j, m) sub[j] = Hash(s[j]) + sub[j+1]; set A; rep (j, m+1) { Hash L = sub[0]-sub[j]; Hash R = sub[j]-sub[m]; rep (c, 26) A.insert(L + Hash('a'+c) + R); } if (i == 0) st = A; else { set B; set_intersection(all(st), all(A), inserter(B, B.end())); swap(st, B); } } cout << st.size() << '\n'; }