This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//
#ifndef __SIZEOF_INT128__
#define __SIZEOF_INT128__
#endif
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace chrono;
using namespace __gnu_pbds;
template <typename T> using oset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define rep(i, p, k) for(int i(p); i < (k); ++i)
#define per(i, p, k) for(int i(p); i > (k); --i)
#define sz(x) (int)(x).size()
#define sc static_cast
typedef long long ll;
typedef long double ld;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef __int128_t lll;
//#define int ll
template <typename T = int> using par = std::pair <T, T>;
#define fi first
#define se second
#define test int _number_of_tests(in()); while(_number_of_tests--)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define pb emplace_back
struct Timer {
string name{""};
time_point<high_resolution_clock> end, start{high_resolution_clock::now()};
duration<float, std::milli> dur;
Timer() = default;
Timer(string nm): name(nm) {}
~Timer() {
end = high_resolution_clock::now(); dur= end - start;
cout << "@" << name << "> " << dur.count() << " ms" << '\n';
}
};
template <typename T = int> inline T in()
{
static T x;
std::cin >> x;
return x;
}
std::string yn(bool b)
{
if(b) return "YES\n";
else return "NO\n";
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par);
template <typename T> std::ostream& operator<< (std::ostream& out, const std::vector <T>& wek)
{
for(const auto& i : wek)out << i << ' ';
return out;
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par)
{
out << '{'<<par.first<<", "<<par.second<<"}";
return out;
}
#define show(x) cerr << #x << " = " << x << '\n';
constexpr int maxn = 1e5 + 3;
vector <pair <int, int>> graf[maxn];
vector <pair <int, int>> rgraf[maxn];
bool us[maxn];
int sto[maxn];
void del(int w){
if(us[w])return;
us[w] = 1;
for(auto [i, j]: rgraf[w])if(!--sto[i])del(i);
}
pair <int, int> ns[maxn];
bool byla[maxn], bylb[maxn], wcyk[maxn];
variant <bool, vector <int>> find_journey(int n, int m, vector <int> u, vector <int> v){
rep(i, 0, m){
graf[u[i]].pb(v[i], i);
rgraf[v[i]].pb(u[i], i);
}
rep(i, 0, n)sto[i] = sz(graf[i]);
int s(0);
vector <int> ds;
rep(i, 0, n)if(!sto[i])del(i);
while(!us[s] && sto[s] == 1){
del(s);
for(auto [i, j]: graf[s])if(!us[i]){
ds.pb(j);
s = i;
break;
}
}
if(us[s])return false;
vector <pair <int, int>> hh;
for(auto i: graf[s])if(!us[i.first])hh.pb(i);
assert(sz(hh) >= 2);
auto a(hh[0]), b(hh[1]);
rep(w, 0, n)if(!us[w] && w != s)for(auto [i, j]: graf[w])if(!us[i] && w != i){
ns[w] = {i,j};
break;
}
vector <int> cykl, edc;
vector <pair <int, int>> dc{a}, db{{s, 0}, b};
byla[s] = bylb[s] = 1;
while(!byla[dc.back().first]){
// cerr << dc.back() << ' ';
byla[dc.back().first] = 1;
dc.pb(ns[dc.back().first]);
}
// cerr << '\n';
while(dc.size() && !wcyk[dc.back().first]){
cykl.pb(dc.back().first);
edc.pb(dc.back().second);
wcyk[dc.back().first] = 1;
dc.pop_back();
}
// cerr << cykl << " : " << edc << '\n';
while(!bylb[db.back().first] && !wcyk[db.back().first]){
bylb[db.back().first] = 1;
db.pb(ns[db.back().first]);
}
vector <int> rt;
for(auto i: ds)rt.pb(i);
reverse(all(dc));
rep(xd, 0, 2){
reverse(all(dc));
for(auto i: dc)rt.pb(i.second);
reverse(all(edc));
for(auto i: edc)rt.pb(i);
reverse(all(dc)); for(auto i: dc)rt.pb(i.second);
if(wcyk[db.back().first]){
rep(i, 1, sz(db))rt.pb(db[i].second);
reverse(all(edc));
rep(i, 0, sz(cykl))if(cykl[i] == db.back().first){
rep(j, 0, sz(edc))rt.pb(edc[(i+j) % sz(edc)]);
reverse(all(db));
for(auto i: db)rt.pb(i.second);
rt.pop_back();
reverse(all(db));
break;
}
}
else{
per(i, sz(db)-2, -1)if(db[i].first == db.back().first){
rep(j, 1, i+1)rt.pb(db[j].second);
if(xd % 2 == 0)rep(j, i+1, sz(db))rt.pb(db[j].second);
else per(j, sz(db)-1, i)rt.pb(db[j].second);
per(j, i, 0)rt.pb(db[j].second);
}
}
}
reverse(all(ds));
for(auto i: ds)rt.pb(i);
return rt;
}
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