#pragma once
#include "../../util/alias/others/lib.hpp"
namespace tifa_libs {
template <u32 SZ = 26>
class suffix_automaton {
// super root is 0
u32 last{0};
struct TIFA {
u32 len, link;
arr<u32, SZ> nex{};
u64 sz; // app 1
u32 times; // app 2
bool is_clone; // app 3
u32 firstpos; // app 3
};
static CEXP u8 base = 'a';
public:
u32 sz{1};
vec<TIFA> st;
vvecu e;
CEXP suffix_automaton() NE : st(1) { st[0].len = 0, st[0].link = -1u; }
CEXP void extend(u32 c) NE {
cu32 cur = sz++;
st.emplace_back(), st[cur].len = st[last].len + 1;
st[cur].times = 1; // app 2
st[cur].firstpos = st[cur].len - 1; // app 3
u32 p = last;
while (~p && !st[p].nex[c]) st[p].nex[c] = cur, p = st[p].link;
if (!~p) st[cur].link = 0;
else {
cu32 q = st[p].nex[c];
if (st[p].len + 1 == st[q].len) st[cur].link = q;
else {
cu32 clone = sz++;
st.emplace_back(), st[clone].nex = st[q].nex, st[clone].len = st[p].len + 1, st[clone].link = st[q].link;
st[clone].firstpos = st[q].firstpos; // app 3
st[clone].is_clone = 1; // app 3
while (~p && st[p].nex[c] == q) st[p].nex[c] = clone, p = st[p].link;
st[q].link = st[cur].link = clone;
}
}
last = cur;
}
CEXP void build() NE {
e = vvecu(sz);
auto add = [&](u32 u, u32 v) NE { e[u].push_back(v); };
flt_ (u32, i, 1, sz) add(u32(st[i].link), i);
}
// app 0
//! default: each character of t is lowercase English letters.
CEXP std::pair<u32, bool> search(strn t) NE {
u32 u = 0, i = 0;
while (i < t.size()) {
if (!st[u].nex[u32(t[i] - base)]) return {i, false};
u = st[u].nex[u32(t[i] - base)], ++i;
}
return {u32(u), true};
}
// app 1
CEXP void getsz(u32 u = 0) NE {
for (st[u].sz = 1; auto v : st[u].nex)
if (v) {
if (!st[v].sz) getsz(v);
st[u].sz += st[v].sz;
}
}
// app 2
//! need build()
CEXP void gettimes(u32 u = 0) NE {
for (auto v : e[u]) gettimes(v), st[u].times += st[v].times;
}
// app 3
//! need build(), search()
CEXP void output_all_occurrences(u32 u, u32 P_length, vecu& ans) NE {
if (!st[u].is_clone) ans.push_back(st[u].first_pos - P_length + 1);
for (u32 v : e[u]) output_all_occurrences(v, P_length, ans);
}
// app 4
//! default: each character of t is lowercase English letters.
CEXP pttu lcs(strnv t) NE {
u32 v = 0, len = 0, ret = 0, end = 0;
flt_ (u32, i, 0, (u32)t.size()) {
while (v && !st[v].nex[u32(t[i] - base)]) v = st[v].link, len = st[v].len;
if (st[v].nex[u32(t[i] - base)]) v = st[v].nex[u32(t[i] - base)], ++len;
if (len > ret) ret = len, end = i;
}
return {end - ret + 1, ret};
}
};
} // namespace tifa_libs
#line 2 "src/str/suffix_automaton/lib.hpp"
#line 2 "src/util/alias/others/lib.hpp"
#line 2 "src/util/consts/lib.hpp"
#line 2 "src/util/alias/num/lib.hpp"
#line 2 "src/util/util/lib.hpp"
// https://github.com/Tiphereth-A/CP-lib
#include <bits/extc++.h>
// clang-format off
namespace tifa_libs {
#define CEXP constexpr
#define CEXPE constexpr explicit
#define CR const&
#define CP const*
#define PC *const
#define CPC const*const
#define TPN typename
#define NE noexcept
#define CNE const noexcept
#define ND [[nodiscard]]
#define cT_(...) std::conditional_t<sizeof(__VA_ARGS__) <= sizeof(size_t) * 2, __VA_ARGS__, __VA_ARGS__ CR>
// NOLINTNEXTLINE(misc-const-correctness)
#define flt_(T, i, l, r, ...) for (T i = (l), i##e = (r)__VA_OPT__(, ) __VA_ARGS__; i < i##e; ++i)
#define retif_(cond, if_true, ...) if cond return if_true __VA_OPT__(; else return __VA_ARGS__)
#ifdef ONLINE_JUDGE
#undef assert
#define assert(x) 42
#endif
using namespace std::ranges;
using namespace std::literals;
template <class T>
CEXP T abs(T x) NE { retif_((x < 0), -x, x); }
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/alias/num/lib.hpp"
// clang-format off
namespace tifa_libs {
#define mk0_(w, t) using w = t; using c##w = const t
#define mk_(w, t) mk0_(w, t); CEXP w operator""_##w(unsigned long long x) NE { return (w)x; }
mk_(i8, int8_t) mk_(u8, uint8_t) mk_(i16, int16_t) mk_(u16, uint16_t) mk_(i32, int32_t) mk_(u32, uint32_t) mk_(i64, int64_t) mk_(u64, uint64_t) mk_(isz, ssize_t) mk_(usz, size_t) mk_(chr, char) mk_(schr, signed char) mk_(uchr, unsigned char) mk_(sint, signed) mk_(uint, unsigned);
mk0_(i128, __int128_t); mk0_(u128, __uint128_t); mk0_(f32, float); mk0_(f64, double); mk0_(f128, long double);
#undef mk0_
#undef mk_
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/consts/lib.hpp"
// clang-format off
namespace tifa_libs {
using std::numbers::pi_v;
template <std::floating_point FP>
inline FP eps_v = std::sqrt(std::numeric_limits<FP>::epsilon());
template <std::floating_point FP>
CEXP void set_eps(FP v) NE { eps_v<FP> = v; }
CEXP u32 TIME = ((__TIME__[0] & 15) << 20) | ((__TIME__[1] & 15) << 16) | ((__TIME__[3] & 15) << 12) | ((__TIME__[4] & 15) << 8) | ((__TIME__[6] & 15) << 4) | (__TIME__[7] & 15);
CEXP auto STR2U16 = [] { std::array<u32, 65536> table{}; table.fill(-1_u32); flt_ (u32, i, 48, 58) flt_ (u32, j, 48, 58) table[i << 8 | j] = (j & 15) * 10 + (i & 15); return table; }();
inline const auto fn_0 = [](auto&&...) NE {};
inline const auto fn_is0 = [](auto x) NE { return x == 0; };
} // namespace tifa_libs
// clang-format on
#line 4 "src/util/alias/others/lib.hpp"
namespace tifa_libs {
template <class T>
struct chash {
CEXP static u64 C = u64(pi_v<f128> * 2e18) | 71;
CEXP u64 operator()(T x) CNE { return __builtin_bswap64(((u64)x ^ TIME) * C); }
};
// clang-format off
#define mk_(w, t) using w = t; using c##w = const t;
mk_(strn, std::string) mk_(strnv, std::string_view)
#undef mk_
template <class T> struct edge_t { T w; u32 u, v; CEXP auto operator<=>(edge_t CR) const = default; }; template <class T> using cedge_t = const edge_t<T>;
template <class T> struct pt3 { T _0, _1, _2; CEXP auto operator<=>(pt3 CR) const = default; }; template <class T> using cpt3 = const pt3<T>;
template <class T> struct pt4 { T _0, _1, _2, _3; CEXP auto operator<=>(pt4 CR) const = default; }; template <class T> using cpt4 = const pt4<T>;
#define mkT_(w, t, ...) template <class T> using w = t __VA_OPT__(, ) __VA_ARGS__; template <class T> using c##w = const t __VA_OPT__(, ) __VA_ARGS__;
mkT_(ptt, std::pair<T, T>) mkT_(alc, std::pmr::polymorphic_allocator<T>) mkT_(vec, std::vector<T>) mkT_(vvec, vec<vec<T>>) mkT_(v3ec, vvec<vec<T>>) mkT_(vecpt, vec<ptt<T>>) mkT_(vvecpt, vvec<ptt<T>>) mkT_(ptvec, ptt<vec<T>>) mkT_(ptvvec, ptt<vvec<T>>)
#undef mkT_
template <class T> using itl = std ::initializer_list<T>;
template <class T, usz ext = std::dynamic_extent> using spn = std::span<T const, ext>;
template <class T, usz N> using arr = std::array<T, N>; template <class T, usz N> using carr = std::array<const T, N>;
template <class U, class T> using vecp = vec<std::pair<U, T>>; template <class U, class T> using vvecp = vvec<std::pair<U, T>>;
template <class U, class T> using vvecp = vvec<std::pair<U, T>>; template <class U, class T> using vvvecp = vvec<vvec<std::pair<U, T>>>;
#ifdef PB_DS_ASSOC_CNTNR_HPP
template <class T, class C = std::less<T>> using set = __gnu_pbds::tree<T, __gnu_pbds::null_type, C>;
template <class K, class V, class C = std::less<K>> using map = __gnu_pbds::tree<K, V, C>;
// hset<u64> s({}, {}, {}, {}, {1<<16});
template <class T, class HF = chash<T>> using hset = __gnu_pbds::gp_hash_table<T, __gnu_pbds::null_type, HF>;
// hmap<u64, int> s({}, {}, {}, {}, {1<<16});
template <class K, class V, class HF = chash<K>> using hmap = __gnu_pbds::gp_hash_table<K, V, HF>;
#else
using std::set, std::map;
template <class T, class HF = chash<T>> using hset = std::unordered_set<T, HF>;
template <class K, class V, class HF = chash<K>> using hmap = std::unordered_map<K, V, HF>;
#endif
#ifdef PB_DS_PRIORITY_QUEUE_HPP
template <class T, class C = std::less<T>> using pq = __gnu_pbds::priority_queue<T, C>;
#else
template <class T, class C = std::less<T>> using pq = std::priority_queue<T, vec<T>, C>;
#endif
template <class T> using pqg = pq<T, std::greater<T>>;
// clang-format on
#define mk1_(V, A, T) using V##A = V<T>;
#define mk_(V, A, T) mk1_(V, A, T) mk1_(c##V, A, T)
#define mk(A, T) mk_(edge_t, A, T) mk_(ptt, A, T) mk_(pt3, A, T) mk_(pt4, A, T) mk_(vec, A, T) mk_(vvec, A, T) mk_(v3ec, A, T) mk_(vecpt, A, T) mk_(vvecpt, A, T) mk_(ptvec, A, T) mk_(ptvvec, A, T) mk1_(spn, A, T) mk1_(itl, A, T)
mk(b, bool) mk(c, chr) mk(i, i32) mk(u, u32) mk(ii, i64) mk(uu, u64) mk(t, isz) mk(z, usz) mk(f, f32) mk(d, f64) mk(s, strn);
#undef mk
#undef mk_
#undef mk1_
} // namespace tifa_libs
#line 4 "src/str/suffix_automaton/lib.hpp"
namespace tifa_libs {
template <u32 SZ = 26>
class suffix_automaton {
// super root is 0
u32 last{0};
struct TIFA {
u32 len, link;
arr<u32, SZ> nex{};
u64 sz; // app 1
u32 times; // app 2
bool is_clone; // app 3
u32 firstpos; // app 3
};
static CEXP u8 base = 'a';
public:
u32 sz{1};
vec<TIFA> st;
vvecu e;
CEXP suffix_automaton() NE : st(1) { st[0].len = 0, st[0].link = -1u; }
CEXP void extend(u32 c) NE {
cu32 cur = sz++;
st.emplace_back(), st[cur].len = st[last].len + 1;
st[cur].times = 1; // app 2
st[cur].firstpos = st[cur].len - 1; // app 3
u32 p = last;
while (~p && !st[p].nex[c]) st[p].nex[c] = cur, p = st[p].link;
if (!~p) st[cur].link = 0;
else {
cu32 q = st[p].nex[c];
if (st[p].len + 1 == st[q].len) st[cur].link = q;
else {
cu32 clone = sz++;
st.emplace_back(), st[clone].nex = st[q].nex, st[clone].len = st[p].len + 1, st[clone].link = st[q].link;
st[clone].firstpos = st[q].firstpos; // app 3
st[clone].is_clone = 1; // app 3
while (~p && st[p].nex[c] == q) st[p].nex[c] = clone, p = st[p].link;
st[q].link = st[cur].link = clone;
}
}
last = cur;
}
CEXP void build() NE {
e = vvecu(sz);
auto add = [&](u32 u, u32 v) NE { e[u].push_back(v); };
flt_ (u32, i, 1, sz) add(u32(st[i].link), i);
}
// app 0
//! default: each character of t is lowercase English letters.
CEXP std::pair<u32, bool> search(strn t) NE {
u32 u = 0, i = 0;
while (i < t.size()) {
if (!st[u].nex[u32(t[i] - base)]) return {i, false};
u = st[u].nex[u32(t[i] - base)], ++i;
}
return {u32(u), true};
}
// app 1
CEXP void getsz(u32 u = 0) NE {
for (st[u].sz = 1; auto v : st[u].nex)
if (v) {
if (!st[v].sz) getsz(v);
st[u].sz += st[v].sz;
}
}
// app 2
//! need build()
CEXP void gettimes(u32 u = 0) NE {
for (auto v : e[u]) gettimes(v), st[u].times += st[v].times;
}
// app 3
//! need build(), search()
CEXP void output_all_occurrences(u32 u, u32 P_length, vecu& ans) NE {
if (!st[u].is_clone) ans.push_back(st[u].first_pos - P_length + 1);
for (u32 v : e[u]) output_all_occurrences(v, P_length, ans);
}
// app 4
//! default: each character of t is lowercase English letters.
CEXP pttu lcs(strnv t) NE {
u32 v = 0, len = 0, ret = 0, end = 0;
flt_ (u32, i, 0, (u32)t.size()) {
while (v && !st[v].nex[u32(t[i] - base)]) v = st[v].link, len = st[v].len;
if (st[v].nex[u32(t[i] - base)]) v = st[v].nex[u32(t[i] - base)], ++len;
if (len > ret) ret = len, end = i;
}
return {end - ret + 1, ret};
}
};
} // namespace tifa_libs