#include "train.h"
#include <bits/stdc++.h>
using namespace std;
#define forn(i,n) for(int i=0;i<n;++i)
#define pb push_back
#define ll long long
vector<int> p1(vector<int>a,vector<int>r,vector<int>u,vector<int>v) {
int n=a.size(), m=u.size();
vector<int> s(n);
vector<int> f(n);
vector<int> ans(n);
forn(i,m) if (u[i]==v[i]) s[u[i]]=1;
forn(i,m) if (u[i]!=v[i]) f[u[i]]=1;
int now=0;
for (int i=n-1; i>=0; --i) {
if (s[i]) {
if (now) {
if (!a[i]) {
if (!r[i]) now=0;
} else {
if (f[i]) now=1;
else now = r[i];
}
} else {
if (a[i]) {
if (r[i]) now=1;
} else {
if (f[i]) now=0;
else now = r[i];
}
}
}
ans[i]=now;
}
return ans;
}
const int N=5555;
vector<int> adj[N];
int vis[N];
int ok[N];
int dfs(int u, int s) {
if (vis[u] && u==s) return 1;
if (vis[u]) return 0;
vis[u]=1;
int z=0;
for(auto&v:adj[u]) z|=dfs(v,s);
return z;
}
int dfs2(int u) {
if (ok[u]) return 1;
if (vis[u]) return 0;
vis[u]=1;
int z=0;
for(auto&v:adj[u]) z|=dfs2(v);
return z;
}
vector<int> p3(vector<int>a,vector<int>r,vector<int>u,vector<int>v) {
int n=a.size(), m=u.size();
vector<int> ans(n);
forn(i,m) adj[u[i]].pb(v[i]);
forn(i,n) if (r[i]) {
forn(j,n) vis[j]=0;
int q=dfs(i,i);
ok[i]=q;
}
forn(i,n) {
forn(j,n) vis[j]=0;
int q=dfs2(i);
ans[i]=q;
}
return ans;
}
int no[N];
int dfs3(int u, int x) {
//cout<<"! "<<u<<' '<<x<<' '<<vis[u]<<'\n';
if (vis[u]==x) return 1;
else if (vis[u]) return 0;
vis[u]=x;
int z=0;
for(auto&v:adj[u]) {
/*
if (v==u) {
if (no[u]) continue;
else return 1;
} else {
z|=dfs3(v,x+no[u]);
}
*/
z|=dfs3(v,x+no[u]);
}
vis[u]=0;
return z;
}
vector<int> p4(vector<int>a,vector<int>r,vector<int>u,vector<int>v) {
int n=a.size(), m=u.size();
vector<int> ans(n);
forn(i,m) adj[u[i]].pb(v[i]);
forn(i,n) no[i]=r[i];
forn(i,n) {
ans[i]=!dfs3(i,1);
}
return ans;
}
vector<int> who_wins(vector<int>a,vector<int>r,vector<int>u,vector<int>v) {
int n=a.size(), m=u.size();
int z=1;
forn(i,m) z&=(u[i]==v[i]) || (v[i]==(u[i]+1));
if (z) {
return p1(a,r,u,v);
}
z=1;
forn(i,n) z&=a[i];
if (z) return p3(a,r,u,v);
forn(i,n) z|=a[i];
if (!z) return p4(a,r,u,v);
exit(1);
}
