結果

問題 No.2102 [Cherry Alpha *] Conditional Reflection
ユーザー suisensuisen
提出日時 2022-10-14 22:03:39
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 687 ms / 3,000 ms
コード長 24,304 bytes
コンパイル時間 3,985 ms
コンパイル使用メモリ 322,188 KB
実行使用メモリ 82,816 KB
最終ジャッジ日時 2023-09-08 21:38:38
合計ジャッジ時間 32,818 ms
ジャッジサーバーID
(参考情報)
judge12 / judge13
このコードへのチャレンジ(β)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 19 ms
49,868 KB
testcase_01 AC 19 ms
49,872 KB
testcase_02 AC 270 ms
60,324 KB
testcase_03 AC 363 ms
61,612 KB
testcase_04 AC 280 ms
60,608 KB
testcase_05 AC 156 ms
57,760 KB
testcase_06 AC 291 ms
61,052 KB
testcase_07 AC 301 ms
56,568 KB
testcase_08 AC 61 ms
53,800 KB
testcase_09 AC 340 ms
59,452 KB
testcase_10 AC 106 ms
55,280 KB
testcase_11 AC 118 ms
54,564 KB
testcase_12 AC 219 ms
58,464 KB
testcase_13 AC 400 ms
62,088 KB
testcase_14 AC 204 ms
58,964 KB
testcase_15 AC 314 ms
62,032 KB
testcase_16 AC 490 ms
65,572 KB
testcase_17 AC 199 ms
54,728 KB
testcase_18 AC 368 ms
57,792 KB
testcase_19 AC 152 ms
56,660 KB
testcase_20 AC 478 ms
63,408 KB
testcase_21 AC 95 ms
56,332 KB
testcase_22 AC 588 ms
66,564 KB
testcase_23 AC 562 ms
66,664 KB
testcase_24 AC 540 ms
66,632 KB
testcase_25 AC 558 ms
66,688 KB
testcase_26 AC 614 ms
66,676 KB
testcase_27 AC 606 ms
66,560 KB
testcase_28 AC 556 ms
66,516 KB
testcase_29 AC 560 ms
66,684 KB
testcase_30 AC 580 ms
66,520 KB
testcase_31 AC 558 ms
66,740 KB
testcase_32 AC 561 ms
66,564 KB
testcase_33 AC 540 ms
66,520 KB
testcase_34 AC 545 ms
66,512 KB
testcase_35 AC 570 ms
66,660 KB
testcase_36 AC 604 ms
66,528 KB
testcase_37 AC 594 ms
66,844 KB
testcase_38 AC 589 ms
66,512 KB
testcase_39 AC 565 ms
66,628 KB
testcase_40 AC 571 ms
66,688 KB
testcase_41 AC 575 ms
66,660 KB
testcase_42 AC 503 ms
60,372 KB
testcase_43 AC 502 ms
60,560 KB
testcase_44 AC 499 ms
60,420 KB
testcase_45 AC 506 ms
60,416 KB
testcase_46 AC 503 ms
60,656 KB
testcase_47 AC 417 ms
56,124 KB
testcase_48 AC 420 ms
56,200 KB
testcase_49 AC 427 ms
56,300 KB
testcase_50 AC 422 ms
56,208 KB
testcase_51 AC 414 ms
56,352 KB
testcase_52 AC 67 ms
82,816 KB
testcase_53 AC 67 ms
82,588 KB
testcase_54 AC 66 ms
82,796 KB
testcase_55 AC 210 ms
51,232 KB
testcase_56 AC 208 ms
51,212 KB
testcase_57 AC 210 ms
51,080 KB
testcase_58 AC 115 ms
70,640 KB
testcase_59 AC 687 ms
68,644 KB
testcase_60 AC 55 ms
53,228 KB
testcase_61 AC 210 ms
51,204 KB
testcase_62 AC 25 ms
50,360 KB
testcase_63 AC 64 ms
53,804 KB
testcase_64 AC 64 ms
53,972 KB
testcase_65 AC 71 ms
53,832 KB
testcase_66 AC 196 ms
51,208 KB
testcase_67 AC 97 ms
56,016 KB
testcase_68 AC 158 ms
51,232 KB
testcase_69 AC 94 ms
56,332 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#include <bits/stdc++.h>

#ifdef _MSC_VER
#  include <intrin.h>
#else
#  include <x86intrin.h>
#endif

#include <limits>
#include <type_traits>

namespace suisen {
// ! utility
template <typename ...Types>
using constraints_t = std::enable_if_t<std::conjunction_v<Types...>, std::nullptr_t>;
template <bool cond_v, typename Then, typename OrElse>
constexpr decltype(auto) constexpr_if(Then&& then, OrElse&& or_else) {
    if constexpr (cond_v) {
        return std::forward<Then>(then);
    } else {
        return std::forward<OrElse>(or_else);
    }
}

// ! function
template <typename ReturnType, typename Callable, typename ...Args>
using is_same_as_invoke_result = std::is_same<std::invoke_result_t<Callable, Args...>, ReturnType>;
template <typename F, typename T>
using is_uni_op = is_same_as_invoke_result<T, F, T>;
template <typename F, typename T>
using is_bin_op = is_same_as_invoke_result<T, F, T, T>;

template <typename Comparator, typename T>
using is_comparator = std::is_same<std::invoke_result_t<Comparator, T, T>, bool>;

// ! integral
template <typename T, typename = constraints_t<std::is_integral<T>>>
constexpr int bit_num = std::numeric_limits<std::make_unsigned_t<T>>::digits;
template <typename T, unsigned int n>
struct is_nbit { static constexpr bool value = bit_num<T> == n; };
template <typename T, unsigned int n>
static constexpr bool is_nbit_v = is_nbit<T, n>::value;

// ?
template <typename T>
struct safely_multipliable {};
template <>
struct safely_multipliable<int> { using type = long long; };
template <>
struct safely_multipliable<long long> { using type = __int128_t; };
template <>
struct safely_multipliable<unsigned int> { using type = unsigned long long; };
template <>
struct safely_multipliable<unsigned long int> { using type = __uint128_t; };
template <>
struct safely_multipliable<unsigned long long> { using type = __uint128_t; };
template <>
struct safely_multipliable<float> { using type = float; };
template <>
struct safely_multipliable<double> { using type = double; };
template <>
struct safely_multipliable<long double> { using type = long double; };
template <typename T>
using safely_multipliable_t = typename safely_multipliable<T>::type;

template <typename T, typename = void>
struct rec_value_type {
    using type = T;
};
template <typename T>
struct rec_value_type<T, std::void_t<typename T::value_type>> {
    using type = typename rec_value_type<typename T::value_type>::type;
};
template <typename T>
using rec_value_type_t = typename rec_value_type<T>::type;

} // namespace suisen

// ! type aliases
using i128 = __int128_t;
using u128 = __uint128_t;

template <typename T>
using pq_greater = std::priority_queue<T, std::vector<T>, std::greater<T>>;
template <typename T, typename U>
using umap = std::unordered_map<T, U>;

// ! macros (capital: internal macro)
#define OVERLOAD2(_1,_2,name,...) name
#define OVERLOAD3(_1,_2,_3,name,...) name
#define OVERLOAD4(_1,_2,_3,_4,name,...) name

#define REP4(i,l,r,s)  for(std::remove_reference_t<std::remove_const_t<decltype(r)>>i=(l);i<(r);i+=(s))
#define REP3(i,l,r)    REP4(i,l,r,1)
#define REP2(i,n)      REP3(i,0,n)
#define REPINF3(i,l,s) for(std::remove_reference_t<std::remove_const_t<decltype(l)>>i=(l);;i+=(s))
#define REPINF2(i,l)   REPINF3(i,l,1)
#define REPINF1(i)     REPINF2(i,0)
#define RREP4(i,l,r,s) for(std::remove_reference_t<std::remove_const_t<decltype(r)>>i=(l)+fld((r)-(l)-1,s)*(s);i>=(l);i-=(s))
#define RREP3(i,l,r)   RREP4(i,l,r,1)
#define RREP2(i,n)     RREP3(i,0,n)

#define rep(...)    OVERLOAD4(__VA_ARGS__, REP4   , REP3   , REP2   )(__VA_ARGS__)
#define rrep(...)   OVERLOAD4(__VA_ARGS__, RREP4  , RREP3  , RREP2  )(__VA_ARGS__)
#define repinf(...) OVERLOAD3(__VA_ARGS__, REPINF3, REPINF2, REPINF1)(__VA_ARGS__)

#define CAT_I(a, b) a##b
#define CAT(a, b) CAT_I(a, b)
#define UNIQVAR(tag) CAT(tag, __LINE__)
#define loop(n) for (std::remove_reference_t<std::remove_const_t<decltype(n)>> UNIQVAR(loop_variable) = n; UNIQVAR(loop_variable) --> 0;)

#define all(iterable) std::begin(iterable), std::end(iterable)
#define input(type, ...) type __VA_ARGS__; read(__VA_ARGS__)

#ifdef LOCAL
#  define debug(...) debug_internal(#__VA_ARGS__, __VA_ARGS__)

template <class T, class... Args>
void debug_internal(const char* s, T&& first, Args&&... args) {
    constexpr const char* prefix = "[\033[32mDEBUG\033[m] ";
    constexpr const char* open_brakets = sizeof...(args) == 0 ? "" : "(";
    constexpr const char* close_brakets = sizeof...(args) == 0 ? "" : ")";
    std::cerr << prefix << open_brakets << s << close_brakets << ": " << open_brakets << std::forward<T>(first);
    ((std::cerr << ", " << std::forward<Args>(args)), ...);
    std::cerr << close_brakets << "\n";
}

#else
#  define debug(...) void(0)
#endif

// ! I/O utilities

// __int128_t
std::ostream& operator<<(std::ostream& dest, __int128_t value) {
    std::ostream::sentry s(dest);
    if (s) {
        __uint128_t tmp = value < 0 ? -value : value;
        char buffer[128];
        char* d = std::end(buffer);
        do {
            --d;
            *d = "0123456789"[tmp % 10];
            tmp /= 10;
        } while (tmp != 0);
        if (value < 0) {
            --d;
            *d = '-';
        }
        int len = std::end(buffer) - d;
        if (dest.rdbuf()->sputn(d, len) != len) {
            dest.setstate(std::ios_base::badbit);
        }
    }
    return dest;
}
// __uint128_t
std::ostream& operator<<(std::ostream& dest, __uint128_t value) {
    std::ostream::sentry s(dest);
    if (s) {
        char buffer[128];
        char* d = std::end(buffer);
        do {
            --d;
            *d = "0123456789"[value % 10];
            value /= 10;
        } while (value != 0);
        int len = std::end(buffer) - d;
        if (dest.rdbuf()->sputn(d, len) != len) {
            dest.setstate(std::ios_base::badbit);
        }
    }
    return dest;
}

// pair
template <typename T, typename U>
std::ostream& operator<<(std::ostream& out, const std::pair<T, U>& a) {
    return out << a.first << ' ' << a.second;
}
// tuple
template <unsigned int N = 0, typename ...Args>
std::ostream& operator<<(std::ostream& out, const std::tuple<Args...>& a) {
    if constexpr (N >= std::tuple_size_v<std::tuple<Args...>>) {
        return out;
    } else {
        out << std::get<N>(a);
        if constexpr (N + 1 < std::tuple_size_v<std::tuple<Args...>>) {
            out << ' ';
        }
        return operator<<<N + 1>(out, a);
    }
}
// vector
template <typename T>
std::ostream& operator<<(std::ostream& out, const std::vector<T>& a) {
    for (auto it = a.begin(); it != a.end();) {
        out << *it;
        if (++it != a.end()) out << ' ';
    }
    return out;
}
// array
template <typename T, size_t N>
std::ostream& operator<<(std::ostream& out, const std::array<T, N>& a) {
    for (auto it = a.begin(); it != a.end();) {
        out << *it;
        if (++it != a.end()) out << ' ';
    }
    return out;
}
inline void print() { std::cout << '\n'; }
template <typename Head, typename... Tail>
inline void print(const Head& head, const Tail &...tails) {
    std::cout << head;
    if (sizeof...(tails)) std::cout << ' ';
    print(tails...);
}
template <typename Iterable>
auto print_all(const Iterable& v, std::string sep = " ", std::string end = "\n") -> decltype(std::cout << *v.begin(), void()) {
    for (auto it = v.begin(); it != v.end();) {
        std::cout << *it;
        if (++it != v.end()) std::cout << sep;
    }
    std::cout << end;
}

__int128_t parse_i128(std::string& s) {
    __int128_t ret = 0;
    for (int i = 0; i < int(s.size()); i++) if ('0' <= s[i] and s[i] <= '9') ret = 10 * ret + s[i] - '0';
    if (s[0] == '-') ret = -ret;
    return ret;
}
__uint128_t parse_u128(std::string& s) {
    __uint128_t ret = 0;
    for (int i = 0; i < int(s.size()); i++) if ('0' <= s[i] and s[i] <= '9') ret = 10 * ret + s[i] - '0';
    return ret;
}
// __int128_t
std::istream& operator>>(std::istream& in, __int128_t& v) {
    std::string s;
    in >> s;
    v = parse_i128(s);
    return in;
}
// __uint128_t
std::istream& operator>>(std::istream& in, __uint128_t& v) {
    std::string s;
    in >> s;
    v = parse_u128(s);
    return in;
}
// pair
template <typename T, typename U>
std::istream& operator>>(std::istream& in, std::pair<T, U>& a) {
    return in >> a.first >> a.second;
}
// tuple
template <unsigned int N = 0, typename ...Args>
std::istream& operator>>(std::istream& in, std::tuple<Args...>& a) {
    if constexpr (N >= std::tuple_size_v<std::tuple<Args...>>) {
        return in;
    } else {
        return operator>><N + 1>(in >> std::get<N>(a), a);
    }
}
// vector
template <typename T>
std::istream& operator>>(std::istream& in, std::vector<T>& a) {
    for (auto it = a.begin(); it != a.end(); ++it) in >> *it;
    return in;
}
// array
template <typename T, size_t N>
std::istream& operator>>(std::istream& in, std::array<T, N>& a) {
    for (auto it = a.begin(); it != a.end(); ++it) in >> *it;
    return in;
}
template <typename ...Args>
void read(Args &...args) {
    (std::cin >> ... >> args);
}

// ! integral utilities

// Returns pow(-1, n)
template <typename T>
constexpr inline int pow_m1(T n) {
    return -(n & 1) | 1;
}
// Returns pow(-1, n)
template <>
constexpr inline int pow_m1<bool>(bool n) {
    return -int(n) | 1;
}

// Returns floor(x / y)
template <typename T>
constexpr inline T fld(const T x, const T y) {
    return (x ^ y) >= 0 ? x / y : (x - (y + pow_m1(y >= 0))) / y;
}
template <typename T>
constexpr inline T cld(const T x, const T y) {
    return (x ^ y) <= 0 ? x / y : (x + (y + pow_m1(y >= 0))) / y;
}

template <typename T, suisen::constraints_t<suisen::is_nbit<T, 16>> = nullptr>
__attribute__((target("popcnt"))) constexpr inline int popcount(const T x) { return _mm_popcnt_u32(x); }
template <typename T, suisen::constraints_t<suisen::is_nbit<T, 32>> = nullptr>
__attribute__((target("popcnt"))) constexpr inline int popcount(const T x) { return _mm_popcnt_u32(x); }
template <typename T, suisen::constraints_t<suisen::is_nbit<T, 64>> = nullptr>
__attribute__((target("popcnt"))) constexpr inline int popcount(const T x) { return _mm_popcnt_u64(x); }
template <typename T, suisen::constraints_t<suisen::is_nbit<T, 16>> = nullptr>
constexpr inline int count_lz(const T x) { return x ? __builtin_clz(x) : suisen::bit_num<T>; }
template <typename T, suisen::constraints_t<suisen::is_nbit<T, 32>> = nullptr>
constexpr inline int count_lz(const T x) { return x ? __builtin_clz(x) : suisen::bit_num<T>; }
template <typename T, suisen::constraints_t<suisen::is_nbit<T, 64>> = nullptr>
constexpr inline int count_lz(const T x) { return x ? __builtin_clzll(x) : suisen::bit_num<T>; }
template <typename T, suisen::constraints_t<suisen::is_nbit<T, 16>> = nullptr>
constexpr inline int count_tz(const T x) { return x ? __builtin_ctz(x) : suisen::bit_num<T>; }
template <typename T, suisen::constraints_t<suisen::is_nbit<T, 32>> = nullptr>
constexpr inline int count_tz(const T x) { return x ? __builtin_ctz(x) : suisen::bit_num<T>; }
template <typename T, suisen::constraints_t<suisen::is_nbit<T, 64>> = nullptr>
constexpr inline int count_tz(const T x) { return x ? __builtin_ctzll(x) : suisen::bit_num<T>; }
template <typename T>
constexpr inline int floor_log2(const T x) { return suisen::bit_num<T> -1 - count_lz(x); }
template <typename T>
constexpr inline int ceil_log2(const T x) { return floor_log2(x) + ((x & -x) != x); }
template <typename T>
constexpr inline int kth_bit(const T x, const unsigned int k) { return (x >> k) & 1; }
template <typename T>
constexpr inline int parity(const T x) { return popcount(x) & 1; }

// ! container

template <typename T, typename Comparator, suisen::constraints_t<suisen::is_comparator<Comparator, T>> = nullptr>
auto priqueue_comp(const Comparator comparator) {
    return std::priority_queue<T, std::vector<T>, Comparator>(comparator);
}

template <typename Iterable>
auto isize(const Iterable& iterable) -> decltype(int(iterable.size())) {
    return iterable.size();
}

template <typename T, typename Gen, suisen::constraints_t<suisen::is_same_as_invoke_result<T, Gen, int>> = nullptr>
auto generate_vector(int n, Gen generator) {
    std::vector<T> v(n);
    for (int i = 0; i < n; ++i) v[i] = generator(i);
    return v;
}
template <typename T>
auto generate_range_vector(T l, T r) {
    return generate_vector(r - l, [l](int i) { return l + i; });
}
template <typename T>
auto generate_range_vector(T n) {
    return generate_range_vector(0, n);
}

template <typename T>
void sort_unique_erase(std::vector<T>& a) {
    std::sort(a.begin(), a.end());
    a.erase(std::unique(a.begin(), a.end()), a.end());
}

template <typename InputIterator, typename BiConsumer>
auto foreach_adjacent_values(InputIterator first, InputIterator last, BiConsumer f) -> decltype(f(*first++, *last), void()) {
    if (first != last) for (auto itr = first, itl = itr++; itr != last; itl = itr++) f(*itl, *itr);
}
template <typename Container, typename BiConsumer>
auto foreach_adjacent_values(Container c, BiConsumer f) -> decltype(c.begin(), c.end(), void()) {
    foreach_adjacent_values(c.begin(), c.end(), f);
}

// ! other utilities

// x <- min(x, y). returns true iff `x` has chenged.
template <typename T>
inline bool chmin(T& x, const T& y) {
    if (y >= x) return false;
    x = y;
    return true;
}
// x <- max(x, y). returns true iff `x` has chenged.
template <typename T>
inline bool chmax(T& x, const T& y) {
    if (y <= x) return false;
    x = y;
    return true;
}

template <typename T, std::enable_if_t<std::is_integral_v<T>, std::nullptr_t> = nullptr>
std::string bin(T val, int bit_num = -1) {
    std::string res;
    if (bit_num >= 0) {
        for (int bit = bit_num; bit-- > 0;) res += '0' + ((val >> bit) & 1);
    } else {
        for (; val; val >>= 1) res += '0' + (val & 1);
        std::reverse(res.begin(), res.end());
    }
    return res;
}

template <typename T, std::enable_if_t<std::is_integral_v<T>, std::nullptr_t> = nullptr>
std::vector<T> digits_low_to_high(T val, T base = 10) {
    std::vector<T> res;
    for (; val; val /= base) res.push_back(val % base);
    if (res.empty()) res.push_back(T{ 0 });
    return res;
}
template <typename T, std::enable_if_t<std::is_integral_v<T>, std::nullptr_t> = nullptr>
std::vector<T> digits_high_to_low(T val, T base = 10) {
    auto res = digits_low_to_high(val, base);
    std::reverse(res.begin(), res.end());
    return res;
}

template <typename T>
std::string join(const std::vector<T>& v, const std::string& sep, const std::string& end) {
    std::ostringstream ss;
    for (auto it = v.begin(); it != v.end();) {
        ss << *it;
        if (++it != v.end()) ss << sep;
    }
    ss << end;
    return ss.str();
}

namespace suisen {}
using namespace suisen;
using namespace std;

struct io_setup {
    io_setup(int precision = 20) {
        std::ios::sync_with_stdio(false);
        std::cin.tie(nullptr);
        std::cout << std::fixed << std::setprecision(precision);
    }
} io_setup_{};

// ! code from here

#include <vector>

namespace suisen {
    template <int base_as_int, typename mint>
    struct static_pow_mods {
        static_pow_mods() {}
        static_pow_mods(int n) { ensure(n); }
        const mint& operator[](int i) const {
            ensure(i);
            return pows[i];
        }
        static void ensure(int n) {
            int sz = pows.size();
            if (sz > n) return;
            pows.resize(n + 1);
            for (int i = sz; i <= n; ++i) pows[i] = base * pows[i - 1];
        }
    private:
        static inline std::vector<mint> pows { 1 };
        static inline mint base = base_as_int;
        static constexpr int mod = mint::mod();
    };

    template <typename mint>
    struct pow_mods {
        pow_mods() {}
        pow_mods(mint base, int n) : base(base) { ensure(n); }
        const mint& operator[](int i) const {
            ensure(i);
            return pows[i];
        }
        void ensure(int n) const {
            int sz = pows.size();
            if (sz > n) return;
            pows.resize(n + 1);
            for (int i = sz; i <= n; ++i) pows[i] = base * pows[i - 1];
        }
    private:
        mutable std::vector<mint> pows { 1 };
        mint base;
        static constexpr int mod = mint::mod();
    };
}

namespace suisen {
    namespace internal::rolling_hash {
        // reference: https://qiita.com/keymoon/items/11fac5627672a6d6a9f6
        struct Modint2305843009213693951 {
            using self = Modint2305843009213693951;

            Modint2305843009213693951() = default;
            Modint2305843009213693951(uint64_t v) : v(fast_mod(v)) {}

            static constexpr uint64_t mod() {
                return _mod;
            }

            static constexpr uint64_t fast_mod(uint64_t v) {
                constexpr uint32_t mid = 61;
                constexpr uint64_t mask = (uint64_t(1) << mid) - 1;
                uint64_t u = v >> mid;
                uint64_t d = v & mask;
                uint64_t res = u + d;
                if (res >= _mod) res -= _mod;
                return res;
            }

            uint64_t val() const {
                return v;
            }

            self& operator+=(const self& rhs) {
                v += rhs.v;
                if (v >= _mod) v -= _mod;
                return *this;
            }
            self& operator-=(const self& rhs) {
                if (v < rhs.v) v += _mod;
                v -= rhs.v;
                return *this;
            }
            self& operator*=(const self& rhs) {
                static constexpr uint32_t mid31 = 31;
                static constexpr uint64_t mask31 = (uint64_t(1) << mid31) - 1;

                uint64_t au = v >> mid31;     // < 2^30
                uint64_t ad = v & mask31;     // < 2^31
                uint64_t bu = rhs.v >> mid31; // < 2^30
                uint64_t bd = rhs.v & mask31; // < 2^31

                //   a * b
                // = (au * 2^31 + ad) * (bu * 2^31 + bd)
                // = au * bu * 2^62             # au * bu * 2^62 ≡ au * bu * 2 < 2^61
                // + (au * bd + ad * bu) * 2^31 # m := au * bd + ad * bu
                //                              # m <= 2 * (2^31 - 1) * (2^30 - 1) = 2^62 - 6 * 2^30 + 2
                //                              # m = mu * 2^30 + md (0 <= mu < 2^32, 0 <= md < 2^30)
                //                              # m * 2^31 ≡ mu + md * 2^31 < 2^61 + 2^31
                // + ad * bd                    # ad * bd <= (2^31 - 1) ** 2 = 2^62 - 2^32 + 1 < 2^62 - 2^31
                // ≡ au * bu * 2 + mu + md * 2^31 + ad * bd < 2^63

                static constexpr uint32_t mid30 = 30;
                static constexpr uint64_t mask30 = (uint64_t(1) << mid30) - 1;

                uint64_t m = au * bd + ad * bu;
                uint64_t mu = m >> mid30;
                uint64_t md = m & mask30;

                v = fast_mod((au * bu << 1) + mu + (md << 31) + ad * bd);
                return *this;
            }

            friend self operator+(const self& l, const self& r) { return self(l) += r; }
            friend self operator-(const self& l, const self& r) { return self(l) -= r; }
            friend self operator*(const self& l, const self& r) { return self(l) *= r; }
            friend bool operator==(const self& l, const self& r) { return l.v == r.v; }
        private:
            static constexpr uint64_t _mod = (uint64_t(1) << 61) - 1; // 2305843009213693951UL : prime
            uint64_t v;
        };

        template <int base_num, typename mint>
        std::array<mint, base_num> gen_bases() {
            static std::mt19937_64 rng(std::random_device{}());
            std::array<mint, base_num> res;
            for (int i = 0; i < base_num; ++i) {
                res[i] = rng();
                while (res[i].val() < 128) res[i] = rng();
            }
            return res;
        }
        template <int base_num, typename mint>
        std::array<pow_mods<mint>, base_num> init_pows(const std::array<mint, base_num>& bases) {
            std::array<pow_mods<mint>, base_num> res;
            for (int i = 0; i < base_num; ++i) {
                res[i] = pow_mods<mint>(bases[i], 0);
            }
            return res;
        }
    }

    template <int base_num = 1, typename mint = internal::rolling_hash::Modint2305843009213693951>
    struct RollingHash {
    private:
        using default_mint = internal::rolling_hash::Modint2305843009213693951;
    public:
        using modint_type = mint;
        using hash_type = decltype(mint::mod());

        RollingHash() {}
        RollingHash(const std::vector<int>& a) : n(a.size()) {
            for (int base_id = 0; base_id < base_num; ++base_id) {
                hash[base_id].resize(n + 1);
                hash[base_id][0] = 0;
                for (int i = 0; i < n; ++i) hash[base_id][i + 1] = hash[base_id][i] * bases[base_id] + a[i];
            }
        }

        auto operator()(int l, int r) {
            std::array<mint, base_num> res;
            for (int base_id = 0; base_id < base_num; ++base_id) {
                res[base_id] = hash[base_id][r] - hash[base_id][l] * pows[base_id][r - l];
            }
            return res;
        }

        auto concat(std::array<mint, base_num> h, int l, int r) {
            for (int base_id = 0; base_id < base_num; ++base_id) {
                h[base_id] = h[base_id] * pows[base_id][r - l] + hash[base_id][r] - hash[base_id][l] * pows[base_id][r - l];
            }
            return h;
        }

        auto swapped(int i) {
            std::array<mint, base_num> res{};
            res = concat(res,     0, i + 0);
            res = concat(res, i + 1, i + 2);
            res = concat(res, i + 0, i + 1);
            res = concat(res, i + 2, n);
            return res;
        }

        static auto mod() {
            return mint::mod();
        }

        static void set_bases(const std::array<mint, base_num>& new_bases) {
            bases = new_bases;
            pows = internal::rolling_hash::init_pows<base_num, mint>(bases);
        }

        template <typename Iterable, typename ToIntFunction>
        static RollingHash from(const Iterable& s, ToIntFunction f) {
            std::vector<int> a;
            for (auto&& e : s) a.push_back(f(e));
            return RollingHash(a);
        }
        static RollingHash from_lowercase_alphabet(const std::string& s) {
            return from(s, [](const auto& e) { return e - 'a' + 1; });
        }
        static RollingHash from_uppercase_alphabet(const std::string& s) {
            return from(s, [](const auto& e) { return e - 'A' + 1; });
        }
        static RollingHash from_alphabet(const std::string& s) {
            return from(s, [](const auto& e) { return std::islower(e) ? e - 'a' + 27 : e - 'A' + 1; });
        }
        static RollingHash from_digit(const std::string& s) {
            return from(s, [](const auto& e) { return e - '0' + 1; });
        }

    private:
        static inline std::array<mint, base_num> bases = internal::rolling_hash::gen_bases<base_num, mint>();
        static inline std::array<pow_mods<mint>, base_num> pows = internal::rolling_hash::init_pows<base_num, mint>(bases);

        int n;
        std::array<std::vector<mint>, base_num> hash;
    };
} // namespace suisen

int main() {
    input(int, n);
    vector<string> s(n);
    read(s);

    using RH = RollingHash<2>;

    vector<set<array<uint64_t, 2>>> hs(1000001);

    rep(i, n) {
        int len = s[i].size();
        auto h = RH::from_lowercase_alphabet(s[i]);
        auto hn = h(0, len);
        if (hs[len].empty()) {
            print("No");
        } else {
            bool found = false;
            if (hs[len].count({ hn[0].val(), hn[1].val() })) {
                found = true;
            } else {
                rep(j, len - 1) {
                    auto hj = h.swapped(j);
                    if (hs[len].count({ hj[0].val(), hj[1].val() })) {
                        found = true;
                        break;
                    }
                }
            }
            print(found ? "Yes" : "No");
        }
        hs[len].insert({ hn[0].val(), hn[1].val() });
    }

    return 0;
}

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