#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
typedef pair<db,db> pd;
typedef vector<int> vi;
typedef vector<bool> vb;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)(x).size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18;
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1};
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
template<class T> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0; }
constexpr int pct(int x) { return __builtin_popcount(x); }
constexpr int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x))
ll cdiv(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll fdiv(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down
ll half(ll x) { return fdiv(x,2); }
template<class T, class U> T fstTrue(T lo, T hi, U f) {
// note: if (lo+hi)/2 is used instead of half(lo+hi) then this will loop infinitely when lo=hi
hi ++; assert(lo <= hi); // assuming f is increasing
while (lo < hi) { // find first index such that f is true
T mid = half(lo+hi);
f(mid) ? hi = mid : lo = mid+1;
}
return lo;
}
template<class T, class U> T lstTrue(T lo, T hi, U f) {
lo --; assert(lo <= hi); // assuming f is decreasing
while (lo < hi) { // find first index such that f is true
T mid = half(lo+hi+1);
f(mid) ? lo = mid : hi = mid-1;
}
return lo;
}
template<class T> void remDup(vector<T>& v) {
sort(all(v)); v.erase(unique(all(v)),end(v)); }
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
str ts(bool b) {
#ifdef LOCAL
return b ? "true" : "false";
#else
return ts((int)b);
#endif
}
template<class A> str ts(complex<A> c) {
stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) {
str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
res += "}"; return res; }
template<size_t SZ> str ts(bitset<SZ> b) {
str res = ""; F0R(i,SZ) res += char('0'+b[i]);
return res; }
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v) { // containers with begin(), end()
#ifdef LOCAL
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
#else
bool fst = 1; str res = "";
for (const auto& x: v) {
if (!fst) res += " ";
fst = 0; res += ts(x);
}
return res;
#endif
}
template<class A, class B> str ts(pair<A,B> p) {
#ifdef LOCAL
return "("+ts(p.f)+", "+ts(p.s)+")";
#else
return ts(p.f)+" "+ts(p.s);
#endif
}
// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) {
pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) {
pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
cerr << ts(h); if (sizeof...(t)) cerr << ", ";
DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL, chk -> fake assert
#define dbg(...) cerr << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#define chk(...) if (!(__VA_ARGS__)) cerr << "Line(" << __LINE__ << ") -> function(" \
<< __FUNCTION__ << ") -> CHK FAILED: (" << #__VA_ARGS__ << ")" << "\n", exit(0);
#else
#define dbg(...) 0
#define chk(...) 0
#endif
// FILE I/O
void setIn(str s) { freopen(s.c_str(),"r",stdin); }
void setOut(str s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { cin.tie(0)->sync_with_stdio(0); }
void setIO(str s = "") {
unsyncIO();
// cin.exceptions(cin.failbit);
// throws exception when do smth illegal
// ex. try to read letter into int
if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}
#include "fun.h"
vi adj[MX];
int color[MX];
vpi vis;
void dfs(int a, int b, int d) {
vis.pb({d,a});
trav(t,adj[a]) if (t != b) dfs(t,a,d+1);
}
std::vector<int> createFunTour(int N, int Q) {
F0R(i,N) FOR(j,i+1,N) {
if (hoursRequired(i,j) == 1) {
adj[i].pb(j), adj[j].pb(i);
}
}
F0R(i,N) {
int maxSize = 0;
vector<vpi> tmp;
trav(t,adj[i]) {
vis.clear(); dfs(t,i,1);
ckmax(maxSize,sz(vis));
tmp.pb(vis);
}
if (2*maxSize > N) continue;
color[i] = -1;
F0R(_,sz(tmp)) trav(t,tmp[_]) color[t.s] = _;
trav(t,tmp) sort(rall(t));
vpi res{{0,i}};
int lef = N;
int col = -1, lst = -1;
while (1) {
lef --; if (lef == 0) break;
pi bes = {MOD,MOD};
if (lst == 1) {
F0R(_,sz(tmp)) if (_ != col) {
if (sz(tmp[_])) ckmin(bes,tmp[_].bk);
}
res.pb(bes); tmp[color[bes.s]].pop_back();
lst ^= 1;
} else if (lst == 0) {
F0R(_,sz(tmp)) if (_ == col) {
if (sz(tmp[_])) ckmin(bes,tmp[_].bk);
}
res.pb(bes); tmp[color[bes.s]].pop_back();
lst ^= 1;
} else {
maxSize = 0;
F0R(_,sz(tmp)) {
ckmax(maxSize,sz(tmp[_]));
if (sz(tmp[_]) && _ != color[res.bk.s]) ckmin(bes,tmp[_].bk);
}
if (2*maxSize > lef) {
trav(t,tmp) if (sz(t) == maxSize) {
bes = t.bk;
res.pb(bes);
col = color[bes.s];
tmp[color[bes.s]].pop_back();
}
lst = 1;
continue;
}
if (2*maxSize == lef) {
int big = 0; F0R(i,sz(tmp)) if (sz(tmp[i]) == maxSize) big = i;
pi x = tmp[big].bk, y = {MOD,MOD};
F0R(i,sz(tmp)) if (i != big && sz(tmp[i])) ckmin(y,tmp[i].bk);
pi one = res.bk, two = {-MOD,-MOD};
if (sz(res) > 1) two = res[sz(res)-2];
if (color[x.s] != color[res.bk.s] && x >= two && y >= one) {
res.pb(x); col = color[x.s]; lst = 1;
tmp[color[x.s]].pop_back();
continue;
}
if (color[y.s] != color[res.bk.s] && y >= two && x >= one) {
res.pb(y); col = color[x.s]; lst = 0;
tmp[color[y.s]].pop_back();
continue;
}
exit(5); // one of above two cases must hold
}
res.pb(bes); tmp[color[bes.s]].pop_back(); // just greedy
}
}
FOR(i,2,sz(res)) assert(res[i] >= res[i-2]);
FOR(i,1,sz(res)) assert(color[res[i].s] != color[res[i-1].s]);
reverse(all(res));
vi ans; trav(t,res) ans.pb(t.s);
return ans;
}
return {};
}
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef long double ld;
typedef double db; 
typedef string str; 

typedef pair<int,int> pi;
typedef pair<ll,ll> pl; 
typedef pair<db,db> pd; 

typedef vector<int> vi; 
typedef vector<bool> vb; 
typedef vector<ll> vl; 
typedef vector<db> vd; 
typedef vector<str> vs; 
typedef vector<pi> vpi;
typedef vector<pl> vpl; 
typedef vector<pd> vpd; 

#define mp make_pair
#define f first
#define s second
#define sz(x) (int)(x).size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend() 
#define sor(x) sort(all(x)) 
#define rsz resize
#define ins insert 
#define ft front() 
#define bk back()
#define pf push_front 
#define pb push_back
#define eb emplace_back 
#define lb lower_bound 
#define ub upper_bound 

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)

const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5; 
const ll INF = 1e18; 
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1}; 
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count()); 

template<class T> bool ckmin(T& a, const T& b) { 
	return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { 
	return a < b ? a = b, 1 : 0; } 
constexpr int pct(int x) { return __builtin_popcount(x); } 
constexpr int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x)) 
ll cdiv(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll fdiv(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down
ll half(ll x) { return fdiv(x,2); }

template<class T, class U> T fstTrue(T lo, T hi, U f) { 
	// note: if (lo+hi)/2 is used instead of half(lo+hi) then this will loop infinitely when lo=hi
	hi ++; assert(lo <= hi); // assuming f is increasing
	while (lo < hi) { // find first index such that f is true 
		T mid = half(lo+hi);
		f(mid) ? hi = mid : lo = mid+1; 
	} 
	return lo;
}
template<class T, class U> T lstTrue(T lo, T hi, U f) {
	lo --; assert(lo <= hi); // assuming f is decreasing
	while (lo < hi) { // find first index such that f is true 
		T mid = half(lo+hi+1);
		f(mid) ? lo = mid : hi = mid-1;
	} 
	return lo;
}
template<class T> void remDup(vector<T>& v) { 
	sort(all(v)); v.erase(unique(all(v)),end(v)); }

// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);

template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }

template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }

// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
str ts(bool b) { 
	#ifdef LOCAL
		return b ? "true" : "false"; 
	#else 
		return ts((int)b);
	#endif
}
template<class A> str ts(complex<A> c) { 
	stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) {
	str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
	res += "}"; return res; }
template<size_t SZ> str ts(bitset<SZ> b) {
	str res = ""; F0R(i,SZ) res += char('0'+b[i]);
	return res; }
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v) { // containers with begin(), end()
	#ifdef LOCAL
		bool fst = 1; str res = "{";
		for (const auto& x: v) {
			if (!fst) res += ", ";
			fst = 0; res += ts(x);
		}
		res += "}"; return res;
	#else
		bool fst = 1; str res = "";
		for (const auto& x: v) {
			if (!fst) res += " ";
			fst = 0; res += ts(x);
		}
		return res;

	#endif
}
template<class A, class B> str ts(pair<A,B> p) {
	#ifdef LOCAL
		return "("+ts(p.f)+", "+ts(p.s)+")"; 
	#else
		return ts(p.f)+" "+ts(p.s);
	#endif
}

// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) { 
	pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) { 
	pr(h); if (sizeof...(t)) pr(" "); ps(t...); }

// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
	cerr << ts(h); if (sizeof...(t)) cerr << ", ";
	DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL, chk -> fake assert
	#define dbg(...) cerr << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
	#define chk(...) if (!(__VA_ARGS__)) cerr << "Line(" << __LINE__ << ") -> function(" \
		 << __FUNCTION__  << ") -> CHK FAILED: (" << #__VA_ARGS__ << ")" << "\n", exit(0);
#else
	#define dbg(...) 0
	#define chk(...) 0
#endif

// FILE I/O
void setIn(str s) { freopen(s.c_str(),"r",stdin); }
void setOut(str s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { cin.tie(0)->sync_with_stdio(0); }
void setIO(str s = "") {
	unsyncIO();
	// cin.exceptions(cin.failbit); 
	// throws exception when do smth illegal
	// ex. try to read letter into int
	if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}


#include "fun.h"

vi adj[MX];
int color[MX];
vpi vis;

void dfs(int a, int b, int d) {
	vis.pb({d,a});
	trav(t,adj[a]) if (t != b) dfs(t,a,d+1);
}

std::vector<int> createFunTour(int N, int Q) {
	F0R(i,N) FOR(j,i+1,N) {
		if (hoursRequired(i,j) == 1) {
			adj[i].pb(j), adj[j].pb(i);
		}
	}
	F0R(i,N) {
		int maxSize = 0;
		vector<vpi> tmp;
		trav(t,adj[i]) {
			vis.clear(); dfs(t,i,1);
			ckmax(maxSize,sz(vis));
			tmp.pb(vis);
		}
		if (2*maxSize > N) continue;
		color[i] = -1;
		F0R(_,sz(tmp)) trav(t,tmp[_]) color[t.s] = _;
		trav(t,tmp) sort(rall(t));
		vpi res{{0,i}};
		int lef = N;
		int col = -1, lst = -1;
		while (1) {
			lef --; if (lef == 0) break;
			pi bes = {MOD,MOD};
			if (lst == 1) {
				F0R(_,sz(tmp)) if (_ != col) {
					if (sz(tmp[_])) ckmin(bes,tmp[_].bk);
				}
				res.pb(bes); tmp[color[bes.s]].pop_back();
				lst ^= 1;
			} else if (lst == 0) {
				F0R(_,sz(tmp)) if (_ == col) {
					if (sz(tmp[_])) ckmin(bes,tmp[_].bk);
				}
				res.pb(bes); tmp[color[bes.s]].pop_back();
				lst ^= 1;
			} else {
				maxSize = 0;
				F0R(_,sz(tmp)) {
					ckmax(maxSize,sz(tmp[_]));
					if (sz(tmp[_]) && _ != color[res.bk.s]) ckmin(bes,tmp[_].bk);
				}
				if (2*maxSize > lef) { 
					trav(t,tmp) if (sz(t) == maxSize) {
						bes = t.bk;
						res.pb(bes);
						col = color[bes.s];
						tmp[color[bes.s]].pop_back();
					}
					lst = 1;
					continue;
				} 
				if (2*maxSize == lef) {
					int big = 0; F0R(i,sz(tmp)) if (sz(tmp[i]) == maxSize) big = i;
					pi x = tmp[big].bk, y = {MOD,MOD};
					F0R(i,sz(tmp)) if (i != big && sz(tmp[i])) ckmin(y,tmp[i].bk);
					pi one = res.bk, two = {-MOD,-MOD};
					if (sz(res) > 1) two = res[sz(res)-2];
					if (color[x.s] != color[res.bk.s] && x >= two && y >= one) {
						res.pb(x); col = color[x.s]; lst = 1;
						tmp[color[x.s]].pop_back();
						continue;
					}
					if (color[y.s] != color[res.bk.s] && y >= two && x >= one) {
						res.pb(y); col = color[x.s]; lst = 0;
						tmp[color[y.s]].pop_back();
						continue;
					}
					exit(5); // one of above two cases must hold
				}
				res.pb(bes); tmp[color[bes.s]].pop_back(); // just greedy
			}
		}
		FOR(i,2,sz(res)) assert(res[i] >= res[i-2]);
		FOR(i,1,sz(res)) assert(color[res[i].s] != color[res[i-1].s]);
		reverse(all(res));
		vi ans; trav(t,res) ans.pb(t.s);
		return ans;
	}
	return {};
}