MtSaka's Library
This documentation is automatically generated by online-judge-tools/verification-helper
Enumerate Triangles (graph/others/enumerate-triangles.hpp)
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- Last update: 2024-10-20 20:46:34+09:00
- Include:
#include "graph/others/enumerate-triangles.hpp"
Depends on
- Graph Template(グラフテンプレート) (graph/graph-template.hpp)
- template/alias.hpp
- template/func.hpp
- template/in.hpp
- template/macro.hpp
- template/out.hpp
- template/template.hpp
- template/type-traits.hpp
- template/util.hpp
Required by
scrap/static-top-tree.hppVerified with
Code
#pragma once
#include "../graph-template.hpp"
template <typename T, typename F>
void enumerate_triangles(const Graph<T>& g, const F& f) {
// enumerate triangles
// O(Msqrt(N))
const int n = g.size();
vector<int> deg(n);
rep(i, n) deg[i] = g[i].size();
Graph<T> h(n);
rep(i, n) {
for (auto& e : g[i]) {
if (deg[i] < deg[e.to] || (deg[i] == deg[e.to] && i < e.to)) {
h.add_edge(i, e.to, true, e.cost);
}
}
}
vector<bool> table(n);
rep(i, n) {
for (auto& e : h[i]) table[e.to] = true;
for (auto& e1 : h[i]) {
const int j = e1.to;
for (auto& e2 : h[j]) {
const int k = e2.to;
if (table[k]) f(i, j, k);
}
}
for (auto& e : h[i]) table[e.to] = false;
}
}
/**
* @brief Enumerate Triangles
*/#line 2 "template/template.hpp"
#include <bits/stdc++.h>
#line 3 "template/alias.hpp"
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using i128 = __int128_t;
using u128 = __uint128_t;
using pi = std::pair<int, int>;
using pl = std::pair<ll, ll>;
using vi = std::vector<int>;
using vl = std::vector<ll>;
using vs = std::vector<std::string>;
using vc = std::vector<char>;
using vvl = std::vector<vl>;
using vd = std::vector<double>;
using vp = std::vector<pl>;
using vb = std::vector<bool>;
template <typename T>
struct infinity {
static constexpr T max = std::numeric_limits<T>::max();
static constexpr T min = std::numeric_limits<T>::min();
static constexpr T value = std::numeric_limits<T>::max() / 2;
static constexpr T mvalue = std::numeric_limits<T>::min() / 2;
};
template <typename T>
constexpr T INF = infinity<T>::value;
constexpr ll inf = INF<ll>;
constexpr ld EPS = 1e-8;
constexpr ld PI = 3.1415926535897932384626;
constexpr int dx[8] = {-1, 0, 1, 0, 1, -1, -1, 1};
constexpr int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1};
#line 3 "template/macro.hpp"
#ifndef __COUNTER__
#define __COUNTER__ __LINE__
#endif
#define SELECT4(a, b, c, d, e, ...) e
#define SELECT3(a, b, c, d, ...) d
#define REP_1(a, c) for (ll REP_##c = 0; REP_##c < (ll)(a); ++REP_##c)
#define REP1(a) REP_1(a, __COUNTER__)
#define REP2(i, a) for (ll i = 0; i < (ll)(a); ++i)
#define REP3(i, a, b) for (ll i = (ll)(a); i < (ll)(b); ++i)
#define REP4(i, a, b, c) for (ll i = (ll)(a); i < (ll)(b); i += (ll)(c))
#define rep(...) SELECT4(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__)
#define RREP_1(a, c) for (ll RREP_##c = (ll)(a) - 1; RREP_##c >= 0; --RREP_##c)
#define RREP1(a) RREP_1(a, __COUNTER__)
#define RREP2(i, a) for (ll i = (ll)(a) - 1; i >= 0; --i)
#define RREP3(i, a, b) for (ll i = (ll)(b) - 1; i >= (ll)(a); --i)
#define rrep(...) SELECT3(__VA_ARGS__, RREP3, RREP2, RREP1)(__VA_ARGS__)
#define all(v) std::begin(v), std::end(v)
#define rall(v) std::rbegin(v), std::rend(v)
#define INT(...) \
int __VA_ARGS__; \
scan(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
scan(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
scan(__VA_ARGS__)
#define CHR(...) \
char __VA_ARGS__; \
scan(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
scan(__VA_ARGS__)
#define LD(...) \
ld __VA_ARGS__; \
scan(__VA_ARGS__)
#define pb push_back
#define eb emplace_back
#line 3 "template/type-traits.hpp"
#line 5 "template/type-traits.hpp"
template <typename T, typename... Args>
struct function_traits_impl {
using return_type = T;
static constexpr std::size_t arg_size = sizeof...(Args);
template <std::size_t idx>
using argument_type = typename std::tuple_element<idx, std::tuple<Args...>>::type;
using argument_types = std::tuple<Args...>;
};
template <typename>
struct function_traits_helper;
template <typename T, typename Tp, typename... Args>
struct function_traits_helper<T (Tp::*)(Args...)> : function_traits_impl<T, Args...> {};
template <typename T, typename Tp, typename... Args>
struct function_traits_helper<T (Tp::*)(Args...) const> : function_traits_impl<T, Args...> {};
template <typename T, typename Tp, typename... Args>
struct function_traits_helper<T (Tp::*)(Args...)&> : function_traits_impl<T, Args...> {};
template <typename T, typename Tp, typename... Args>
struct function_traits_helper<T (Tp::*)(Args...) const&> : function_traits_impl<T, Args...> {};
template <typename F>
using function_traits = function_traits_helper<decltype(&std::remove_reference<F>::type::operator())>;
template <typename F>
using function_return_type = typename function_traits<F>::return_type;
template <typename F, std::size_t idx>
using function_argument_type = typename function_traits<F>::template argument_type<idx>;
template <typename F>
using function_argument_types = typename function_traits<F>::argument_types;
template <class T>
using is_signed_int = std::integral_constant<bool, (std::is_integral<T>::value && std::is_signed<T>::value) || std::is_same<T, __int128_t>::value>;
template <class T>
using is_unsigned_int = std::integral_constant<bool, (std::is_integral<T>::value && std::is_unsigned<T>::value) || std::is_same<T, __uint128_t>::value>;
template <class T>
using is_int = std::integral_constant<bool, is_signed_int<T>::value || is_unsigned_int<T>::value>;
template <typename T, typename = void>
struct is_range : std::false_type {};
template <typename T>
struct is_range<
T,
decltype(all(std::declval<typename std::add_lvalue_reference<T>::type>()), (void)0)> : std::true_type {};
template <std::size_t size>
struct int_least {
static_assert(size <= 128, "size must be less than or equal to 128");
using type = typename std::conditional<
size <= 8, std::int_least8_t,
typename std::conditional<
size <= 16, std::int_least16_t,
typename std::conditional<
size <= 32, std::int_least32_t,
typename std::conditional<size <= 64, std::int_least64_t, __int128_t>::type>::type>::type>::type;
};
template <std::size_t size>
using int_least_t = typename int_least<size>::type;
template <std::size_t size>
struct uint_least {
static_assert(size <= 128, "size must be less than or equal to 128");
using type = typename std::conditional<
size <= 8, std::uint_least8_t,
typename std::conditional<
size <= 16, std::uint_least16_t,
typename std::conditional<
size <= 32, std::uint_least32_t,
typename std::conditional<size <= 64, std::uint_least64_t, __uint128_t>::type>::type>::type>::type;
};
template <std::size_t size>
using uint_least_t = typename uint_least<size>::type;
template <typename T>
using double_size_int = int_least<std::numeric_limits<T>::digits * 2 + 1>;
template <typename T>
using double_size_int_t = typename double_size_int<T>::type;
template <typename T>
using double_size_uint = uint_least<std::numeric_limits<T>::digits * 2>;
template <typename T>
using double_size_uint_t = typename double_size_uint<T>::type;
template <typename T>
using double_size = typename std::conditional<std::is_signed<T>::value, double_size_int<T>, double_size_uint<T>>::type;
template <typename T>
using double_size_t = typename double_size<T>::type;
#line 2 "template/in.hpp"
#include <unistd.h>
#line 5 "template/in.hpp"
namespace fastio {
template <std::size_t BUFF_SIZE = 1 << 17, int decimal_precision = 16>
struct Scanner {
private:
template <typename, typename = void>
struct has_scan : std::false_type {};
template <class T>
struct has_scan<T, decltype(std::declval<T>().scan(std::declval<Scanner&>()), (void)0)> : std::true_type {};
int fd;
char buffer[BUFF_SIZE + 1];
int idx, sz;
bool state;
inline void load() {
int len = sz - idx;
if (idx < len) return;
std::memcpy(buffer, buffer + idx, len);
sz = len + read(fd, buffer + len, BUFF_SIZE - len);
idx = 0;
buffer[sz] = 0;
}
inline char cur() {
if (idx == sz) load();
if (idx == sz) {
state = false;
return '\0';
}
return buffer[idx];
}
inline void next() {
if (idx == sz) load();
if (idx == sz) return;
idx++;
}
public:
Scanner() : Scanner(0) {}
explicit Scanner(int fd) : fd(fd), idx(0), sz(0), state(true) {}
explicit Scanner(FILE* file) : fd(fileno(file)), idx(0), sz(0), state(true) {}
inline char scan_char() {
if (idx == sz) load();
return (idx == sz ? '\0' : buffer[idx++]);
}
Scanner ignore(int n = 1) {
if (idx + n > sz) load();
idx += n;
return (*this);
}
inline void skip_space() {
if (idx == sz) load();
while (('\t' <= cur() && cur() <= '\r') || cur() == ' ') {
if (++idx == sz) load();
}
}
void scan(char& a) {
skip_space();
a = scan_char();
}
void scan(std::string& a) {
skip_space();
a.clear();
while (cur() != '\0' && (buffer[idx] < '\t' || '\r' < buffer[idx]) && buffer[idx] != ' ') {
a += scan_char();
}
}
template <std::size_t len>
void scan(std::bitset<len>& a) {
skip_space();
if (idx + len > sz) load();
rrep(i, len) a[i] = (buffer[idx++] != '0');
}
template <typename T, typename std::enable_if<is_int<T>::value && !has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
skip_space();
bool neg = false;
if constexpr (std::is_signed<T>::value || std::is_same_v<T, __int128_t>) {
if (cur() == '-') {
neg = true;
next();
}
}
if (idx + 40 > sz && (idx == sz || ('0' <= buffer[sz - 1] && buffer[sz - 1] <= '9'))) load();
a = 0;
while ('0' <= buffer[idx] && buffer[idx] <= '9') {
a = a * 10 + (buffer[idx++] & 15);
}
if constexpr (std::is_signed<T>::value || std::is_same<T, __int128_t>::value) {
if (neg) a = -a;
}
}
template <typename T, typename std::enable_if<std::is_floating_point<T>::value && !has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
skip_space();
bool neg = false;
if (cur() == '-') {
neg = true;
next();
}
a = 0;
while ('0' <= cur() && cur() <= '9') {
a = a * 10 + (scan_char() & 15);
}
if (cur() == '.') {
next();
T n = 0, d = 1;
for (int i = 0; '0' <= cur() && cur() <= '9' && i < decimal_precision; ++i) {
n = n * 10 + (scan_char() & 15);
d *= 10;
}
while ('0' <= cur() && cur() <= '9') next();
a += n / d;
}
if (neg) a = -a;
}
private:
template <std::size_t i, typename... Args>
void scan(std::tuple<Args...>& a) {
if constexpr (i < sizeof...(Args)) {
scan(std::get<i>(a));
scan<i + 1, Args...>(a);
}
}
public:
template <typename... Args>
void scan(std::tuple<Args...>& a) {
scan<0, Args...>(a);
}
template <typename T, typename U>
void scan(std::pair<T, U>& a) {
scan(a.first);
scan(a.second);
}
template <typename T, typename std::enable_if<is_range<T>::value && !has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
for (auto& i : a) scan(i);
}
template <typename T, typename std::enable_if<has_scan<T>::value>::type* = nullptr>
void scan(T& a) {
a.scan(*this);
}
void operator()() {}
template <typename Head, typename... Tail>
void operator()(Head& head, Tail&... tail) {
scan(head);
operator()(std::forward<Tail&>(tail)...);
}
template <typename T>
Scanner& operator>>(T& a) {
scan(a);
return *this;
}
explicit operator bool() const { return state; }
friend Scanner& getline(Scanner& sc, std::string& a) {
a.clear();
char c;
if ((c = sc.scan_char()) == '\0' || c == '\n') return sc;
a += c;
while ((c = sc.scan_char()) != '\0' && c != '\n') a += c;
return sc;
}
};
Scanner<> sc;
} // namespace fastio
using fastio::sc;
#line 6 "template/out.hpp"
namespace fastio {
struct Pre {
char buffer[10000][4];
constexpr Pre() : buffer() {
for (int i = 0; i < 10000; ++i) {
int n = i;
for (int j = 3; j >= 0; --j) {
buffer[i][j] = n % 10 | '0';
n /= 10;
}
}
}
} constexpr pre;
template <std::size_t BUFF_SIZE = 1 << 17, bool debug = false>
struct Printer {
private:
template <typename, bool = debug, class = void>
struct has_print : std::false_type {};
template <typename T>
struct has_print<T, false, decltype(std::declval<T>().print(std::declval<Printer&>()), (void)0)> : std::true_type {};
template <typename T>
struct has_print<T, true, decltype(std::declval<T>().debug(std::declval<Printer&>()), (void)0)> : std::true_type {};
int fd;
char buffer[BUFF_SIZE];
int idx;
std::size_t decimal_precision;
public:
Printer() : Printer((debug ? 2 : 1)) {}
explicit Printer(int fd) : fd(fd), idx(0), decimal_precision(16) {}
explicit Printer(FILE* file) : fd(fileno(file)), idx(0), decimal_precision(16) {}
~Printer() {
flush();
}
void set_decimal_precision(std::size_t n) { decimal_precision = n; }
inline void print_char(char c) {
buffer[idx++] = c;
if (idx == BUFF_SIZE) flush();
}
inline void flush() {
idx = write(fd, buffer, idx);
idx = 0;
}
void print(char a) {
if constexpr (debug) print_char('\'');
print_char(a);
if constexpr (debug) print_char('\'');
}
void print(bool a) {
if constexpr (debug) print_char('\'');
print_char('0' + a);
if constexpr (debug) print_char('\'');
}
void print(const char* a) {
if constexpr (debug) print_char('\"');
for (; *a != '\0'; ++a) print_char(*a);
if constexpr (debug) print_char('\"');
}
template <std::size_t N>
void print(const char (&a)[N]) {
if constexpr (debug) print_char('\"');
for (auto i : a) print_char(i);
if constexpr (debug) print_char('\"');
}
void print(const std::string& a) {
if constexpr (debug) print_char('\"');
for (auto i : a) print_char(i);
if constexpr (debug) print_char('\"');
}
template <std::size_t len>
void print(const std::bitset<len>& a) {
for (int i = len - 1; i >= 0; --i) print_char('0' + a[i]);
}
template <typename T, typename std::enable_if<is_int<T>::value && !has_print<T>::value>::type* = nullptr>
void print(T a) {
if (!a) {
print_char('0');
return;
}
if constexpr (is_signed_int<T>::value) {
if (a < 0) {
print_char('-');
a = -a;
}
}
if (static_cast<size_t>(idx + 40) >= BUFF_SIZE) flush();
static char stk[40];
int top = 40;
while (a >= 10000) {
int i = a % 10000;
a /= 10000;
top -= 4;
std::memcpy(stk + top, pre.buffer[i], 4);
}
if (a >= 1000) {
std::memcpy(buffer + idx, pre.buffer[a], 4);
idx += 4;
} else if (a >= 100) {
std::memcpy(buffer + idx, pre.buffer[a] + 1, 3);
idx += 3;
} else if (a >= 10) {
std::memcpy(buffer + idx, pre.buffer[a] + 2, 2);
idx += 2;
} else {
buffer[idx++] = '0' | a;
}
std::memcpy(buffer + idx, stk + top, 40 - top);
idx += 40 - top;
}
template <typename T, typename std::enable_if<std::is_floating_point<T>::value && !has_print<T>::value>::type* = nullptr>
void print(T a) {
if (a == infinity<T>::max || a == infinity<T>::value) {
print("inf");
return;
}
if (a == infinity<T>::min || a == infinity<T>::mvalue) {
print("-inf");
return;
}
if (std::isnan(a)) {
print("nan");
return;
}
if (a < 0) {
print_char('-');
a = -a;
}
T b = a;
if (b < 1) {
print_char('0');
} else {
std::string s;
while (b >= 1) {
s += (char)('0' | (int)std::fmod(b, 10.0));
b /= 10;
}
for (auto i = s.rbegin(); i != s.rend(); ++i) {
print_char(*i);
}
}
print_char('.');
for (std::size_t _ = 0; _ < decimal_precision; ++_) {
a *= 10;
print_char('0' | (int)std::fmod(a, 10.0));
}
}
private:
template <std::size_t i, typename... Args>
void print(const std::tuple<Args...>& a) {
if constexpr (i < sizeof...(Args)) {
if constexpr (debug) print_char(',');
print_char(' ');
print(std::get<i>(a));
print<i + 1>(a);
}
}
public:
template <typename... Args>
void print(const std::tuple<Args...>& a) {
if constexpr (debug) print_char('(');
if constexpr (sizeof...(Args) != 0) {
print(std::get<0>(a));
}
print<1, Args...>(a);
if constexpr (debug) print_char(')');
}
template <typename T, typename U>
void print(const std::pair<T, U>& a) {
if constexpr (debug) print_char('(');
print(a.first);
if constexpr (debug) print_char(',');
print_char(' ');
print(a.second);
if constexpr (debug) print_char(')');
}
template <typename T, typename std::enable_if<is_range<T>::value>::type* = nullptr>
void print(const T& a) {
if constexpr (debug) print_char('{');
auto it = std::begin(a);
if (it != std::end(a)) {
print(*it);
while (++it != std::end(a)) {
if constexpr (debug) print_char(',');
print_char(' ');
print(*it);
}
}
if constexpr (debug) print_char('}');
}
template <typename T, typename std::enable_if<has_print<T>::value && !debug>::type* = nullptr>
void print(const T& a) {
a.print(*this);
}
template <typename T, typename std::enable_if<has_print<T>::value && debug>::type* = nullptr>
void print(const T& a) {
a.debug(*this);
}
void operator()() {}
template <typename Head, typename... Tail>
void operator()(const Head& head, const Tail&... tail) {
print(head);
operator()(std::forward<const Tail&>(tail)...);
}
template <typename T>
Printer& operator<<(const T& a) {
print(a);
return *this;
}
Printer& operator<<(Printer& (*f)(Printer&)) {
return f(*this);
}
};
template <std::size_t BUFF_SIZE, bool debug>
Printer<BUFF_SIZE, debug>& endl(Printer<BUFF_SIZE, debug>& out) {
out.print_char('\n');
out.flush();
return out;
}
template <std::size_t BUFF_SIZE, bool debug>
Printer<BUFF_SIZE, debug>& flush(Printer<BUFF_SIZE, debug>& out) {
out.flush();
return out;
}
Printer<> pr;
Printer<1 << 17, true> prd;
} // namespace fastio
using fastio::endl;
using fastio::flush;
using fastio::pr;
using fastio::prd;
#line 3 "template/func.hpp"
#line 8 "template/func.hpp"
inline constexpr int msb(ull x) {
int res = x ? 0 : -1;
if (x & 0xffffffff00000000) x &= 0xffffffff00000000, res += 32;
if (x & 0xffff0000ffff0000) x &= 0xffff0000ffff0000, res += 16;
if (x & 0xff00ff00ff00ff00) x &= 0xff00ff00ff00ff00, res += 8;
if (x & 0xf0f0f0f0f0f0f0f0) x &= 0xf0f0f0f0f0f0f0f0, res += 4;
if (x & 0xcccccccccccccccc) x &= 0xcccccccccccccccc, res += 2;
return res + (x & 0xaaaaaaaaaaaaaaaa ? 1 : 0);
}
inline constexpr int ceil_log2(ull x) { return x ? msb(x - 1) + 1 : 0; }
inline constexpr ull reverse(ull x) {
x = ((x & 0x5555555555555555) << 1) | ((x & 0xaaaaaaaaaaaaaaaa) >> 1);
x = ((x & 0x3333333333333333) << 2) | ((x & 0xcccccccccccccccc) >> 2);
x = ((x & 0x0f0f0f0f0f0f0f0f) << 4) | ((x & 0xf0f0f0f0f0f0f0f0) >> 4);
x = ((x & 0x00ff00ff00ff00ff) << 8) | ((x & 0xff00ff00ff00ff00) >> 8);
x = ((x & 0x0000ffff0000ffff) << 16) | ((x & 0xffff0000ffff0000) >> 16);
return (x << 32) | (x >> 32);
}
inline constexpr ull reverse(ull x, int len) { return reverse(x) >> (64 - len); }
inline constexpr int popcnt(ull x) {
#if __cplusplus >= 202002L
return std::popcount(x);
#endif
x = (x & 0x5555555555555555) + ((x >> 1) & 0x5555555555555555);
x = (x & 0x3333333333333333) + ((x >> 2) & 0x3333333333333333);
x = (x & 0x0f0f0f0f0f0f0f0f) + ((x >> 4) & 0x0f0f0f0f0f0f0f0f);
x = (x & 0x00ff00ff00ff00ff) + ((x >> 8) & 0x00ff00ff00ff00ff);
x = (x & 0x0000ffff0000ffff) + ((x >> 16) & 0x0000ffff0000ffff);
return (x & 0x00000000ffffffff) + ((x >> 32) & 0x00000000ffffffff);
}
template <typename T, typename U>
inline constexpr bool chmin(T& a, U b) { return a > b && (a = b, true); }
template <typename T, typename U>
inline constexpr bool chmax(T& a, U b) { return a < b && (a = b, true); }
inline constexpr ll gcd(ll a, ll b) {
if (a < 0) a = -a;
if (b < 0) b = -b;
while (b) {
const ll c = b;
b = a % b;
a = c;
}
return a;
}
inline constexpr ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
inline constexpr bool is_prime(ll n) {
if (n <= 1) return false;
for (ll i = 2; i * i <= n; i++) {
if (n % i == 0) return false;
}
return true;
}
inline constexpr ll my_pow(ll a, ll b) {
ll res = 1;
while (b) {
if (b & 1) res *= a;
a *= a;
b >>= 1;
}
return res;
}
inline constexpr ll mod_pow(ll a, ll b, const ll& mod) {
if (mod == 1) return 0;
a %= mod;
ll res = 1;
while (b) {
if (b & 1) (res *= a) %= mod;
(a *= a) %= mod;
b >>= 1;
}
return res;
}
inline ll mod_inv(ll a, const ll& mod) {
ll b = mod, x = 1, u = 0, t;
while (b) {
t = a / b;
std::swap(a -= t * b, b);
std::swap(x -= t * u, u);
}
if (x < 0) x += mod;
return x;
}
template <typename T, typename U>
std::ostream& operator<<(std::ostream& os, const std::pair<T, U>& p) {
os << p.first << " " << p.second;
return os;
}
template <typename T, typename U>
std::istream& operator>>(std::istream& is, std::pair<T, U>& p) {
is >> p.first >> p.second;
return is;
}
template <typename T>
std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) {
for (auto it = std::begin(v); it != std::end(v);) {
os << *it << ((++it) != std::end(v) ? " " : "");
}
return os;
}
template <typename T>
std::istream& operator>>(std::istream& is, std::vector<T>& v) {
for (T& in : v) {
is >> in;
}
return is;
}
inline void scan() {}
template <class Head, class... Tail>
inline void scan(Head& head, Tail&... tail) {
sc >> head;
scan(tail...);
}
template <class T>
inline void print(const T& t) { pr << t << '\n'; }
template <class Head, class... Tail>
inline void print(const Head& head, const Tail&... tail) {
pr << head << ' ';
print(tail...);
}
template <class... T>
inline void fin(const T&... a) {
print(a...);
exit(0);
}
template <typename T>
inline void dump(const T& a) { prd << a; }
inline void trace() { prd << endl; }
template <typename Head, typename... Tail>
inline void trace(const Head& head, const Tail&... tail) {
dump(head);
if (sizeof...(tail)) prd.print_char(','), prd.print_char(' ');
trace(tail...);
}
#ifdef ONLINE_JUDGE
#define dbg(...) (void(0))
#else
#define dbg(...) \
do { \
prd << #__VA_ARGS__; \
prd.print_char(' '), prd.print_char('='), prd.print_char(' '); \
trace(__VA_ARGS__); \
} while (0)
#endif
#line 3 "template/util.hpp"
#line 6 "template/util.hpp"
template <typename F>
struct REC {
private:
F f;
public:
explicit constexpr REC(F&& f_) : f(std::forward<F>(f_)) {}
template <typename... Args>
constexpr auto operator()(Args&&... args) const {
return f(*this, std::forward<Args>(args)...);
}
};
template <typename T, typename Comp = std::less<T>>
struct compressor {
private:
std::vector<T> data;
Comp cmp;
bool sorted = false;
public:
compressor() : compressor(Comp()) {}
compressor(const Comp& cmp) : cmp(cmp) {}
compressor(const std::vector<T>& dat, const Comp& cmp = Comp()) : data(dat), cmp(cmp) {}
compressor(std::vector<T>&& dat, const Comp& cmp = Comp()) : data(std::move(dat)), cmp(cmp) {}
compressor(std::initializer_list<T> li, const Comp& cmp = Comp()) : data(li.begin(), li.end()), cmp(cmp) {}
void push_back(const T& v) {
assert(!sorted);
data.push_back(v);
}
void push_back(T&& v) {
assert(!sorted);
data.push_back(std::move(v));
}
template <typename... Args>
void emplace_back(Args&&... args) {
assert(!sorted);
data.emplace_back(std::forward<Args>(args)...);
}
void push(const std::vector<T>& v) {
assert(!sorted);
const int n = data.size();
data.resize(v.size() + n);
for (int i = 0; i < (int)v.size(); i++) data[i + n] = v[i];
}
void build() {
assert(!sorted);
sorted = 1;
std::sort(data.begin(), data.end(), cmp);
data.erase(unique(data.begin(), data.end(), [&](const T& l, const T& r) -> bool { return !cmp(l, r) && !cmp(r, l); }), data.end());
}
const T& operator[](int k) const& {
assert(sorted);
return data[k];
}
int get_index(const T& v) const {
assert(sorted);
return int(lower_bound(data.begin(), data.end(), v, cmp) - data.begin());
}
void press(std::vector<T>& v) const {
assert(sorted);
for (auto&& i : v) i = get_index(i);
}
std::vector<int> pressed(const std::vector<T>& v) const {
assert(sorted);
std::vector<int> ret(v.size());
for (int i = 0; i < (int)v.size(); i++) ret[i] = get_index(v[i]);
return ret;
}
int size() const {
assert(sorted);
return data.size();
}
};
#line 11 "template/template.hpp"
using namespace std;
#line 3 "graph/graph-template.hpp"
template <typename T = int>
struct Edge {
int from, to;
T cost;
int idx;
Edge() {}
Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {}
operator int() const { return to; }
friend bool operator<(const Edge& lhs, const Edge& rhs) { return lhs.cost < rhs.cost; }
friend bool operator>(const Edge& lhs, const Edge& rhs) { return lhs.cost > rhs.cost; }
};
template <typename T = int>
using Edges = vector<Edge<T>>;
template <typename T = int>
struct Graph {
vector<vector<Edge<T>>> g;
int es;
Graph() {}
explicit Graph(int n) : g(n), es(0) {}
size_t size() const { return g.size(); }
size_t edge_size() const { return es; }
void add_edge(int from, int to, bool direct = false, T cost = 1) {
g[from].emplace_back(from, to, cost, es);
if (!direct) g[to].emplace_back(to, from, cost, es);
es++;
}
inline vector<Edge<T>>& operator[](int idx) { return g[idx]; }
inline const vector<Edge<T>>& operator[](int idx) const { return g[idx]; }
void read(int m, int padding = -1, bool weighted = false, bool direct = false) {
int a, b;
T c = T(1);
for (int i = 0; i < m; i++) {
sc >> a >> b;
a += padding;
b += padding;
if (weighted) sc >> c;
add_edge(a, b, direct, c);
}
}
};
struct UnweightedEdge {
template <class... Args>
UnweightedEdge(const Args&...) {}
operator int() const { return 1; }
template <typename Sc>
void scan(Sc& a) { return; }
};
using UnweightedGraph = Graph<UnweightedEdge>;
/**
* @brief Graph Template(グラフテンプレート)
*/
#line 3 "graph/others/enumerate-triangles.hpp"
template <typename T, typename F>
void enumerate_triangles(const Graph<T>& g, const F& f) {
// enumerate triangles
// O(Msqrt(N))
const int n = g.size();
vector<int> deg(n);
rep(i, n) deg[i] = g[i].size();
Graph<T> h(n);
rep(i, n) {
for (auto& e : g[i]) {
if (deg[i] < deg[e.to] || (deg[i] == deg[e.to] && i < e.to)) {
h.add_edge(i, e.to, true, e.cost);
}
}
}
vector<bool> table(n);
rep(i, n) {
for (auto& e : h[i]) table[e.to] = true;
for (auto& e1 : h[i]) {
const int j = e1.to;
for (auto& e2 : h[j]) {
const int k = e2.to;
if (table[k]) f(i, j, k);
}
}
for (auto& e : h[i]) table[e.to] = false;
}
}
/**
* @brief Enumerate Triangles
*/