#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using lint = long long; using pint = pair; using plint = pair; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template void ndarray(vector& vec, const V& val, int len) { vec.assign(len, val); } template void ndarray(vector& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); } template bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template std::pair operator+(const std::pair &l, const std::pair &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template std::pair operator-(const std::pair &l, const std::pair &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template std::vector sort_unique(std::vector vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template int arglb(const std::vector &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template int argub(const std::vector &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template IStream &operator>>(IStream &is, std::vector &vec) { for (auto &v : vec) is >> v; return is; } template OStream &operator<<(OStream &os, const std::vector &vec); template OStream &operator<<(OStream &os, const std::array &arr); template OStream &operator<<(OStream &os, const std::unordered_set &vec); template OStream &operator<<(OStream &os, const pair &pa); template OStream &operator<<(OStream &os, const std::deque &vec); template OStream &operator<<(OStream &os, const std::set &vec); template OStream &operator<<(OStream &os, const std::multiset &vec); template OStream &operator<<(OStream &os, const std::unordered_multiset &vec); template OStream &operator<<(OStream &os, const std::pair &pa); template OStream &operator<<(OStream &os, const std::map &mp); template OStream &operator<<(OStream &os, const std::unordered_map &mp); template OStream &operator<<(OStream &os, const std::tuple &tpl); template OStream &operator<<(OStream &os, const std::vector &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::array &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } #if __cplusplus >= 201703L template std::istream &operator>>(std::istream &is, std::tuple &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template OStream &operator<<(OStream &os, const std::tuple &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } #endif template OStream &operator<<(OStream &os, const std::unordered_set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::deque &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template OStream &operator<<(OStream &os, const std::set &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_multiset &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::pair &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template OStream &operator<<(OStream &os, const std::map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template OStream &operator<<(OStream &os, const std::unordered_map &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif #include #include #include #include #include #include template struct PairHash : public std::pair { using PH = PairHash; explicit PairHash(T1 x, T2 y) : std::pair(x, y) {} explicit PairHash(int x) : std::pair(x, x) {} PairHash() : PairHash(0) {} PH operator+(const PH &x) const { return PH(this->first + x.first, this->second + x.second); } PH operator-(const PH &x) const { return PH(this->first - x.first, this->second - x.second); } PH operator*(const PH &x) const { return PH(this->first * x.first, this->second * x.second); } PH operator+(int x) const { return PH(this->first + x, this->second + x); } static PH randgen(bool force_update = false) { static PH b(0); if (b == PH(0) or force_update) { std::mt19937 mt(std::chrono::steady_clock::now().time_since_epoch().count()); std::uniform_int_distribution d(1 << 30); b = PH(T1(d(mt)), T2(d(mt))); } return b; } }; template struct TupleHash3 : public std::tuple { using TH = TupleHash3; explicit TupleHash3(T1 x, T2 y, T3 z) : std::tuple(x, y, z) {} explicit TupleHash3(int x) : std::tuple(x, x, x) {} TupleHash3() : TupleHash3(0) {} inline const T1 &v1() const noexcept { return std::get<0>(*this); } inline const T2 &v2() const noexcept { return std::get<1>(*this); } inline const T3 &v3() const noexcept { return std::get<2>(*this); } TH operator+(const TH &x) const { return TH(v1() + x.v1(), v2() + x.v2(), v3() + x.v3()); } TH operator-(const TH &x) const { return TH(v1() - x.v1(), v2() - x.v2(), v3() - x.v3()); } TH operator*(const TH &x) const { return TH(v1() * x.v1(), v2() * x.v2(), v3() * x.v3()); } TH operator+(int x) const { return TH(v1() + x, v2() + x, v3() + x); } static TH randgen(bool force_update = false) { static TH b(0); if (b == TH(0) or force_update) { std::mt19937 mt(std::chrono::steady_clock::now().time_since_epoch().count()); std::uniform_int_distribution d(1 << 30); b = TH(T1(d(mt)), T2(d(mt)), T3(d(mt))); } return b; } }; // Rolling Hash (Rabin-Karp), 1dim template struct rolling_hash { int N; const V B; std::vector hash; // hash[i] = s[0] * B^(i - 1) + ... + s[i - 1] static std::vector power; // power[i] = B^i void _extend_powvec() { if (power.size() > 1 and power.at(1) != B) power = {V(1)}; while (static_cast(power.size()) <= N) { auto tmp = power.back() * B; power.push_back(tmp); } } template rolling_hash(const std::vector &s, V b = V::randgen()) : N(s.size()), B(b), hash(N + 1) { for (int i = 0; i < N; i++) hash[i + 1] = hash[i] * B + s[i]; _extend_powvec(); } rolling_hash(const std::string &s = "", V b = V::randgen()) : N(s.size()), B(b), hash(N + 1) { for (int i = 0; i < N; i++) hash[i + 1] = hash[i] * B + s[i]; _extend_powvec(); } void addchar(const char &c) { V hnew = hash[N] * B + c; N++, hash.emplace_back(hnew); _extend_powvec(); } V get(int l, int r) const { // s[l] * B^(r - l - 1) + ... + s[r - 1] return hash[r] - hash[l] * power[r - l]; } int lcplen(int l1, int l2) const { return longest_common_prefix(*this, l1, *this, l2); } }; template std::vector rolling_hash::power{V(1)}; // Longest common prerfix between s1[l1, N1) and s2[l2, N2) template int longest_common_prefix(const rolling_hash &rh1, int l1, const rolling_hash &rh2, int l2) { int lo = 0, hi = std::min(rh1.N + 1 - l1, rh2.N + 1 - l2); while (hi - lo > 1) { const int c = (lo + hi) / 2; auto h1 = rh1.get(l1, l1 + c), h2 = rh2.get(l2, l2 + c); (h1 == h2 ? lo : hi) = c; } return lo; } // Longest common suffix between s1[0, r1) and s2[0, r2) template int longest_common_suffix(const rolling_hash &rh1, int r1, const rolling_hash &rh2, int r2) { int lo = 0, hi = std::min(r1, r2) + 1; while (hi - lo > 1) { const int c = (lo + hi) / 2; auto h1 = rh1.get(r1 - c, r1), h2 = rh2.get(r2 - c, r2); (h1 == h2 ? lo : hi) = c; } return lo; } #include #include #include // F_p, p = 2^61 - 1 // https://qiita.com/keymoon/items/11fac5627672a6d6a9f6 class ModIntMersenne61 { static const long long md = (1LL << 61) - 1; long long _v; inline unsigned hi() const noexcept { return _v >> 31; } inline unsigned lo() const noexcept { return _v & ((1LL << 31) - 1); } public: static long long mod() { return md; } ModIntMersenne61() : _v(0) {} // 0 <= x < md * 2 explicit ModIntMersenne61(long long x) : _v(x >= md ? x - md : x) {} long long val() const noexcept { return _v; } ModIntMersenne61 operator+(const ModIntMersenne61 &x) const { return ModIntMersenne61(_v + x._v); } ModIntMersenne61 operator-(const ModIntMersenne61 &x) const { return ModIntMersenne61(_v + md - x._v); } ModIntMersenne61 operator*(const ModIntMersenne61 &x) const { using ull = unsigned long long; ull uu = (ull)hi() * x.hi() * 2; ull ll = (ull)lo() * x.lo(); ull lu = (ull)hi() * x.lo() + (ull)lo() * x.hi(); ull sum = uu + ll + ((lu & ((1ULL << 30) - 1)) << 31) + (lu >> 30); ull reduced = (sum >> 61) + (sum & ull(md)); return ModIntMersenne61(reduced); } ModIntMersenne61 pow(long long n) const { assert(n >= 0); ModIntMersenne61 ans(1), tmp = *this; while (n) { if (n & 1) ans *= tmp; tmp *= tmp, n >>= 1; } return ans; } ModIntMersenne61 inv() const { return pow(md - 2); } ModIntMersenne61 operator/(const ModIntMersenne61 &x) const { return *this * x.inv(); } ModIntMersenne61 operator-() const { return ModIntMersenne61(md - _v); } ModIntMersenne61 &operator+=(const ModIntMersenne61 &x) { return *this = *this + x; } ModIntMersenne61 &operator-=(const ModIntMersenne61 &x) { return *this = *this - x; } ModIntMersenne61 &operator*=(const ModIntMersenne61 &x) { return *this = *this * x; } ModIntMersenne61 &operator/=(const ModIntMersenne61 &x) { return *this = *this / x; } ModIntMersenne61 operator+(unsigned x) const { return ModIntMersenne61(this->_v + x); } bool operator==(const ModIntMersenne61 &x) const { return _v == x._v; } bool operator!=(const ModIntMersenne61 &x) const { return _v != x._v; } bool operator<(const ModIntMersenne61 &x) const { return _v < x._v; } // To use std::map template friend OStream &operator<<(OStream &os, const ModIntMersenne61 &x) { return os << x._v; } static ModIntMersenne61 randgen(bool force_update = false) { static ModIntMersenne61 b(0); if (b == ModIntMersenne61(0) or force_update) { std::mt19937 mt(std::chrono::steady_clock::now().time_since_epoch().count()); std::uniform_int_distribution d(1, ModIntMersenne61::mod()); b = ModIntMersenne61(d(mt)); } return b; } }; int main() { int N; cin >> N; using Hash = PairHash; set se; vector bpow(1.1e6, Hash(1)); FOR(i, 1, bpow.size()) bpow.at(i) = bpow.at(i - 1) * Hash::randgen(); dbg(bpow[0]); dbg(bpow[1]); dbg(bpow[2]); dbg(bpow[1] * bpow[1]); while (N--) { string s; cin >> s; rolling_hash rh(s); cout << (se.count(rh.get(0, s.size())) ? "Yes" : "No") << '\n'; se.insert(rh.get(0, s.size())); dbg(rh.get(0, s.size())); FOR(i, 1, s.size()) { auto left = rh.get(0, i - 1); auto right = rh.get(i + 1, s.size()); auto tmp = left * bpow[1] + s[i]; tmp = tmp * bpow[1] + s[i - 1]; tmp = tmp * bpow[s.size() - i - 1] + right; dbg(tmp); se.insert(tmp); } dbg(s); dbg(se.size()); } }