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#include "string/rollinghash.hpp"
#pragma once
#include "random/base.hpp"
#include "mod/modint61.hpp"
struct RollingHash {
using mint = modint61;
static constexpr u64 mod = mint::get_mod();
const mint base;
vc<mint> power;
static inline mint generate_base() { return RNG(mod); }
inline void expand(size_t sz) {
if (power.size() < sz + 1) {
int pre_sz = (int)power.size();
power.resize(sz + 1);
FOR(i, pre_sz - 1, sz) power[i + 1] = power[i] * base;
}
}
explicit RollingHash(mint base = generate_base()) : base(base), power{1} {}
template <typename STRING>
vector<mint> build(const STRING& s) const {
int sz = s.size();
vector<mint> hashed(sz + 1, mint(0));
for (int i = 0; i < sz; i++) { hashed[i + 1] = hashed[i] * base + s[i]; }
return hashed;
}
template <typename STRING>
mint eval(STRING& s) {
mint x = 0;
for (auto& ch: s) x = base * x + ch;
return x;
}
mint query(const vc<mint>& s, int l, int r) {
assert(0 <= l && l <= r && r < len(s));
expand(r - l);
return (s[r] - s[l] * power[r - l]);
}
mint combine(mint h1, mint h2, int h2len) {
expand(h2len);
return h1 * power[h2len] + h2;
}
mint add_char(mint h, int x) { return h * base + mint(x); }
int lcp(const vc<mint>& a, int l1, int r1, const vc<mint>& b, int l2,
int r2) {
int len = min(r1 - l1, r2 - l2);
int low = 0, high = len + 1;
while (high - low > 1) {
int mid = (low + high) / 2;
if (query(a, l1, l1 + mid) == query(b, l2, l2 + mid))
low = mid;
else
high = mid;
}
return low;
}
};
#line 2 "random/base.hpp"
u64 RNG_64() {
static u64 x_ = u64(chrono::duration_cast<chrono::nanoseconds>(chrono::high_resolution_clock::now().time_since_epoch()).count()) * 10150724397891781847ULL;
x_ ^= x_ << 7;
return x_ ^= x_ >> 9;
}
u64 RNG(u64 lim) { return RNG_64() % lim; }
ll RNG(ll l, ll r) { return l + RNG_64() % (r - l); }
#line 2 "mod/modint61.hpp"
struct modint61 {
static constexpr u64 mod = (1ULL << 61) - 1;
u64 val;
constexpr modint61() : val(0ULL) {}
constexpr modint61(u32 x) : val(x) {}
constexpr modint61(u64 x) : val(x % mod) {}
constexpr modint61(int x) : val((x < 0) ? (x + static_cast<ll>(mod)) : x) {}
constexpr modint61(ll x) : val(((x %= static_cast<ll>(mod)) < 0) ? (x + static_cast<ll>(mod)) : x) {}
static constexpr u64 get_mod() { return mod; }
modint61 &operator+=(const modint61 &a) {
val = ((val += a.val) >= mod) ? (val - mod) : val;
return *this;
}
modint61 &operator-=(const modint61 &a) {
val = ((val -= a.val) >= mod) ? (val + mod) : val;
return *this;
}
modint61 &operator*=(const modint61 &a) {
const unsigned __int128 y = static_cast<unsigned __int128>(val) * a.val;
val = (y >> 61) + (y & mod);
val = (val >= mod) ? (val - mod) : val;
return *this;
}
modint61 operator-() const { return modint61(val ? mod - val : u64(0)); }
modint61 &operator/=(const modint61 &a) { return (*this *= a.inverse()); }
modint61 operator+(const modint61 &p) const { return modint61(*this) += p; }
modint61 operator-(const modint61 &p) const { return modint61(*this) -= p; }
modint61 operator*(const modint61 &p) const { return modint61(*this) *= p; }
modint61 operator/(const modint61 &p) const { return modint61(*this) /= p; }
bool operator<(const modint61 &other) const { return val < other.val; }
bool operator==(const modint61 &p) const { return val == p.val; }
bool operator!=(const modint61 &p) const { return val != p.val; }
modint61 inverse() const {
ll a = val, b = mod, u = 1, v = 0, t;
while (b > 0) {
t = a / b;
swap(a -= t * b, b), swap(u -= t * v, v);
}
return modint61(u);
}
modint61 pow(ll n) const {
assert(n >= 0);
modint61 ret(1), mul(val);
while (n > 0) {
if (n & 1) ret *= mul;
mul *= mul, n >>= 1;
}
return ret;
}
};
#ifdef FASTIO
void rd(modint61 &x) {
fastio::rd(x.val);
assert(0 <= x.val && x.val < modint61::mod);
}
void wt(modint61 x) { fastio::wt(x.val); }
#endif
#line 4 "string/rollinghash.hpp"
struct RollingHash {
using mint = modint61;
static constexpr u64 mod = mint::get_mod();
const mint base;
vc<mint> power;
static inline mint generate_base() { return RNG(mod); }
inline void expand(size_t sz) {
if (power.size() < sz + 1) {
int pre_sz = (int)power.size();
power.resize(sz + 1);
FOR(i, pre_sz - 1, sz) power[i + 1] = power[i] * base;
}
}
explicit RollingHash(mint base = generate_base()) : base(base), power{1} {}
template <typename STRING>
vector<mint> build(const STRING& s) const {
int sz = s.size();
vector<mint> hashed(sz + 1, mint(0));
for (int i = 0; i < sz; i++) { hashed[i + 1] = hashed[i] * base + s[i]; }
return hashed;
}
template <typename STRING>
mint eval(STRING& s) {
mint x = 0;
for (auto& ch: s) x = base * x + ch;
return x;
}
mint query(const vc<mint>& s, int l, int r) {
assert(0 <= l && l <= r && r < len(s));
expand(r - l);
return (s[r] - s[l] * power[r - l]);
}
mint combine(mint h1, mint h2, int h2len) {
expand(h2len);
return h1 * power[h2len] + h2;
}
mint add_char(mint h, int x) { return h * base + mint(x); }
int lcp(const vc<mint>& a, int l1, int r1, const vc<mint>& b, int l2,
int r2) {
int len = min(r1 - l1, r2 - l2);
int low = 0, high = len + 1;
while (high - low > 1) {
int mid = (low + high) / 2;
if (query(a, l1, l1 + mid) == query(b, l2, l2 + mid))
low = mid;
else
high = mid;
}
return low;
}
};