This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//by szh
#include<bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pii pair<int,int>
#define pll pair<long long,long long>
#define pb push_back
#define debug(x) cerr<<#x<<"="<<x<<endl
#define pq priority_queue
#define inf 0x3f
#define rep(i,a,b) for (int i=a;i<(b);i++)
#define MP make_pair
#define SZ(x) (int(x.size()))
#define ll long long
#define mod 1000000007
#define ALL(x) x.begin(),x.end()
void inc(int &a,int b) {a=(a+b)%mod;}
void dec(int &a,int b) {a=(a-b+mod)%mod;}
int lowbit(int x) {return x&(-x);}
ll p0w(ll base,ll p) {ll ret=1;while(p>0){if (p%2ll==1ll) ret=ret*base%mod;base=base*base%mod;p/=2ll;}return ret;}
const int maxn = 3e5+10;
int n[2],m;
int fa[2][maxn];
map <int,int> mp[2][maxn];
int sz[2][maxn];
int getf(int id,int node) {
if (fa[id][node]==node) return fa[id][node];
else return fa[id][node] = getf(id,fa[id][node]);
}
int p[2][maxn];
int in[2][maxn];
pq <pair<int,pii>, vector<pair<int,pii>>, greater <pair<int,pii>>> q;
int main() {
// freopen("input.txt","r",stdin);
std::ios::sync_with_stdio(false);cin.tie();
cin>>n[0]>>n[1]>>m;
memset(sz,0,sizeof(sz));
rep(k,0,2) rep(i,0,n[k]) {
cin>>p[k][i];
p[k][i]--;
if (i<m) {
fa[k][i] = p[k][i];
sz[k][p[k][i]]++;
}
else fa[k][i] = i;
}
memset(in,false,sizeof(in));
rep(k,0,2)
rep(i,0,m) {
int ff1 = getf(k,i);
if (!in[k][ff1]) {
q.push(MP(sz[k][ff1],MP(k,ff1)));
in[k][ff1] = true;
}
int ff2 = getf(1-k,i);
mp[k][ff1][ff2] = 1;
}
while (!q.empty()) {
auto cur = q.top();
q.pop();
if (sz[cur.se.fi][cur.se.se] != cur.fi) continue;
int tmp = getf(1-cur.se.fi,(mp[cur.se.fi][cur.se.se].begin())->fi);
if (mp[cur.se.fi][cur.se.se].size()>1) {
for (auto it:mp[cur.se.fi][cur.se.se]) {
if (getf(1-cur.se.fi,it.fi)!=tmp) {
cout<<"NO";
return 0;
}
}
if (cur.se.se==1) continue;
sz[cur.se.fi][p[cur.se.fi][cur.se.se]] += cur.fi;
mp[cur.se.fi][p[cur.se.fi][cur.se.se]][tmp] = 1;
q.push(MP(sz[cur.se.fi][p[cur.se.fi][cur.se.se]],MP(cur.se.fi,p[cur.se.fi][cur.se.se])));
}
}
cout<<"YES";
return 0;
}
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