#include "doll.h"
#include <bits/stdc++.h>
using namespace std;
#define forn(i,n) for(int i=0;i<n;++i)
#define ll long long
#define pb push_back
#define all(x) x.begin(), x.end()
const ll inf = 1e18;
#define pi pair<int,int>
#define f first
#define s second
void mysim(vector<int> c, vector<int> x, vector<int> y) {
int p=0;
int z=1;
int k=x.size();
vector<int> s(k,0);
while (z||p) {
if (!p) {
z=0; p=c[p];
} else if (p>0) {
cout<<p<<"->\n";
p=c[p];
} else {
cout<<"? "<<p<<'\n';
int i=-p-1;
if (s[i]==0) p=x[i];
else p=y[i];
s[i]^=1;
}
}
}
void create_circuit(int m, vector<int>a) {
int n=a.size();
vector<int> c(m+1,-1); c[0]=a[0];
int sz=1; while (2*sz<n) sz<<=1;
vector<int> x(2*sz-1,-1), y(2*sz-1,-1);
forn(i,sz-1) x[i]=2*i+1, y[i]=2*i+2;
forn(i,sz-1) x[i]=-1-x[i], y[i]=-1-y[i];
vector<int> s(2*sz-1,1);
vector<pi> z;
forn(it,2*sz) {
int p=0;
while (p<sz-1) {
s[p]^=1;
p=2*p+1+s[p];
}
s[p]^=1;
z.pb({p,s[p]});
}
if (n&1) {
c[0]=-1;
a.pb(0);
++n;
} else {
forn(i,n-1) a[i]=a[i+1];
a[n-1]=0;
}
vector<int> ok(2*sz);
forn(i,sz-n/2) ok[sz-1+i]=1;
int p=0;
for(auto&it:z) {
if (ok[it.f]) continue;
if (it.s) y[it.f]=a[p];
else x[it.f]=a[p];
++p;
}
vector<int> fs,sc;
set<int> st; forn(i,2*sz-1) st.insert(i);
for(int i=2*sz-2; i>=0; --i) {
if (x[i]==-1 && y[i]==-1) {
st.erase(i);
if (i&1) {
x[(i-1)/2]=-1;
} else {
y[(i-1)/2]=-1;
}
}
}
forn(i,2*sz-1) {
if (!st.count(i)) continue;
fs.pb(x[i]);
sc.pb(y[i]);
}
map<int,int> comp; int mex=0;
for(auto&x:st) comp[x]=mex++;
forn(i,sz-1) {
if (fs[i]<0) fs[i]=-1-comp[-fs[i]-1];
if (sc[i]<0) sc[i]=-1-comp[-sc[i]-1];
}
answer(c,fs,sc);
}
