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#include "math/permutation.hpp"
#pragma once #include "../template.hpp" struct permutation { vector<ll> data; permutation(ll n) : data(n) { iota(all(data), 0); } permutation(const vector<ll> &src) : data(src) {} ll size() const { return data.size(); } static permutation id(ll n) { vector<ll> ret(n); iota(all(ret), 0); return ret; } bool next() { return next_permutation(all(data)); } bool prev() { return prev_permutation(all(data)); } ll operator[](ll i) const { return data[i]; } permutation &operator*=(const permutation &a) { vector<ll> tmp(data); for (ll i : rep(size())) data[i] = tmp[a[i]]; return *this; } permutation &operator/=(const permutation &a) { return *this *= a.inv(); } friend bool operator==(const permutation &a, const permutation &b) { return a.data == b.data; } friend bool operator!=(const permutation &a, const permutation &b) { return rel_ops::operator!=(a, b); } friend permutation operator*(permutation a, const permutation &b) { return a *= b; } friend permutation operator/(permutation a, const permutation &b) { return a /= b; } permutation inv() const { vector<ll> ret(size()); for (ll i : rep(size())) ret[data[i]] = i; return ret; } permutation pow(ll k) const { vector<ll> ret(size()); vector<bool> used(size()); for (ll i : rep(size())) { if (used[i]) { continue; } vector<ll> cyc; ll cur = i; do { used[cur] = true; cyc.push_back(cur); cur = data[cur]; } while (cur != i); for (ll j : rep(cyc.size())) ret[cyc[j]] = cyc[(j + k) % cyc.size()]; } return ret; } friend ostream &operator<<(std::ostream &os, const permutation &a) { os << "("; for (ll i : rep(a.size())) { os << a[i] << (i + 1 != a.size() ? ", " : ""); } os << ")"; return os; } };
#line 2 "math/permutation.hpp" #line 2 "template.hpp" #include <bits/stdc++.h> using namespace std; #define all(a) begin(a), end(a) #define rall(a) rbegin(a), rend(a) #define uniq(a) (a).erase(unique(all(a)), (a).end()) #define t0 first #define t1 second using ll = long long; using ull = unsigned long long; using pll = pair<ll, ll>; using vll = vector<ll>; constexpr double pi = 3.14159265358979323846; constexpr ll dy[9] = {0, 1, 0, -1, 1, 1, -1, -1, 0}; constexpr ll dx[9] = {1, 0, -1, 0, 1, -1, -1, 1, 0}; constexpr ll sign(ll a) { return (a > 0) - (a < 0); } constexpr ll fdiv(ll a, ll b) { return a / b - ((a ^ b) < 0 && a % b); } constexpr ll cdiv(ll a, ll b) { return -fdiv(-a, b); } constexpr ll pw(ll n) { return 1ll << n; } constexpr ll flg(ll n) { return 63 - __builtin_clzll(n); } constexpr ll clg(ll n) { return n == 1 ? 0 : flg(n - 1) + 1; } constexpr ll safemod(ll x, ll mod) { return (x % mod + mod) % mod; } template <typename T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T>>; template <typename T> constexpr T sq(const T &a) { return a * a; } template <typename T, typename U> constexpr bool chmax(T &a, const U &b) { return a < b ? a = b, true : false; } template <typename T, typename U> constexpr bool chmin(T &a, const U &b) { return a > b ? a = b, true : false; } template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &a) { os << "(" << a.first << ", " << a.second << ")"; return os; } template <typename T, typename U, typename V> ostream &operator<<(ostream &os, const tuple<T, U, V> &a) { os << "(" << get<0>(a) << ", " << get<1>(a) << ", " << get<2>(a) << ")"; return os; } template <typename T> ostream &operator<<(ostream &os, const vector<T> &a) { os << "("; for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : ""); os << ")"; return os; } template <typename T> ostream &operator<<(ostream &os, const set<T> &a) { os << "("; for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : ""); os << ")"; return os; } template <typename T> ostream &operator<<(ostream &os, const multiset<T> &a) { os << "("; for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : ""); os << ")"; return os; } template <typename T, typename U> ostream &operator<<(ostream &os, const map<T, U> &a) { os << "("; for (auto itr = a.begin(); itr != a.end(); ++itr) os << *itr << (next(itr) != a.end() ? ", " : ""); os << ")"; return os; } #ifdef ONLINE_JUDGE #define dump(...) (void(0)) #else void debug() { cerr << endl; } template <typename Head, typename... Tail> void debug(Head &&head, Tail &&... tail) { cerr << head; if (sizeof...(Tail)) cerr << ", "; debug(tail...); } #define dump(...) cerr << __LINE__ << ": " << #__VA_ARGS__ << " = ", debug(__VA_ARGS__) #endif struct rep { struct itr { ll v; itr(ll v) : v(v) {} void operator++() { ++v; } ll operator*() const { return v; } bool operator!=(itr i) const { return v < *i; } }; ll l, r; rep(ll l, ll r) : l(l), r(r) {} rep(ll r) : rep(0, r) {} itr begin() const { return l; }; itr end() const { return r; }; }; struct per { struct itr { ll v; itr(ll v) : v(v) {} void operator++() { --v; } ll operator*() const { return v; } bool operator!=(itr i) const { return v > *i; } }; ll l, r; per(ll l, ll r) : l(l), r(r) {} per(ll r) : per(0, r) {} itr begin() const { return r - 1; }; itr end() const { return l - 1; }; }; struct io_setup { static constexpr int PREC = 20; io_setup() { cout << fixed << setprecision(PREC); cerr << fixed << setprecision(PREC); }; } iOS; #line 4 "math/permutation.hpp" struct permutation { vector<ll> data; permutation(ll n) : data(n) { iota(all(data), 0); } permutation(const vector<ll> &src) : data(src) {} ll size() const { return data.size(); } static permutation id(ll n) { vector<ll> ret(n); iota(all(ret), 0); return ret; } bool next() { return next_permutation(all(data)); } bool prev() { return prev_permutation(all(data)); } ll operator[](ll i) const { return data[i]; } permutation &operator*=(const permutation &a) { vector<ll> tmp(data); for (ll i : rep(size())) data[i] = tmp[a[i]]; return *this; } permutation &operator/=(const permutation &a) { return *this *= a.inv(); } friend bool operator==(const permutation &a, const permutation &b) { return a.data == b.data; } friend bool operator!=(const permutation &a, const permutation &b) { return rel_ops::operator!=(a, b); } friend permutation operator*(permutation a, const permutation &b) { return a *= b; } friend permutation operator/(permutation a, const permutation &b) { return a /= b; } permutation inv() const { vector<ll> ret(size()); for (ll i : rep(size())) ret[data[i]] = i; return ret; } permutation pow(ll k) const { vector<ll> ret(size()); vector<bool> used(size()); for (ll i : rep(size())) { if (used[i]) { continue; } vector<ll> cyc; ll cur = i; do { used[cur] = true; cyc.push_back(cur); cur = data[cur]; } while (cur != i); for (ll j : rep(cyc.size())) ret[cyc[j]] = cyc[(j + k) % cyc.size()]; } return ret; } friend ostream &operator<<(std::ostream &os, const permutation &a) { os << "("; for (ll i : rep(a.size())) { os << a[i] << (i + 1 != a.size() ? ", " : ""); } os << ")"; return os; } };