This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define INIT ios_base :: sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define mp make_pair
#define pb push_back
#define ft first
#define sc second
#define ll long long
#define pii pair<int, int>
#define count_bits __builtin_popcount
//#define int ll
int ts, n, m, k, a[150010], b[150010], q, l, r;
vector<int> oa[150010], ob[150010];
struct query{
int l, r, u, v;
};
vector<query> seg[600010];
struct DSU{
int ptr[150010], sz[150010]; bool mrk[150010];
};
DSU dsu;
struct ch{
int u, v, t;
};
stack<ch> st;
int find_root(int x){ int cr=x; while(dsu.ptr[cr]!=cr){cr=dsu.ptr[cr];}return cr; }
void unite(int u, int v, int t){
int ru=find_root(u), rv=find_root(v);
if(ru==rv){return;}
if(dsu.sz[ru]>=dsu.sz[rv]){
dsu.ptr[rv]=ru; dsu.sz[ru]+=dsu.sz[rv];
ch c; c.u=ru; c.v=rv; c.t=t; st.push(c);
}
else{
dsu.ptr[ru]=rv; dsu.sz[rv]+=dsu.sz[ru];
ch c; c.u=rv; c.v=ru; c.t=t; st.push(c);
}
}
void separ(int u, int v){
dsu.ptr[v]=v; dsu.sz[u]-=dsu.sz[v];
return;
}
void roll_back(int t){
while((!st.empty()) && ( ((st.top()).t)>=t)){
auto c=st.top(); st.pop(); separ(c.u, c.v);
}
return;
}
void ins(int nod, query q0, int tl, int tr){
if((tl>q0.r) || (tr<q0.l)){return;}
if( (tl>=q0.l) && (tr<=q0.r) ){
seg[nod].pb(q0); return;
}
if(tl==tr){return;}
int med=(tl+tr)/2;
ins(nod*2, q0, tl, med);
ins(2*nod+1, q0, med+1, tr);
}
void clean(){
for(int i=1; i<=4*n; i++){
seg[i].clear();
}
}
bool rec(int nod, int tl, int tr, int t){
bool res=true;
for(auto q0:seg[nod]){
unite(q0.u, q0.v, t);
}
if(tl==tr){
for(auto u:oa[tl]){
int rt=find_root(u);
dsu.mrk[rt]=true;
}
for(auto u:ob[tl]){
int rt=find_root(u);
if(!dsu.mrk[rt]){res=false; break;}
}
for(auto u:oa[tl]){
int rt=find_root(u);
dsu.mrk[rt]=false;
}
roll_back(t);
return res;
}
int med=(tl+tr)/2;
bool r1=rec(nod*2, tl, med, t+1);
bool r2=rec(nod*2+1, med+1, tr, t+1);
roll_back(t);
return (r1&&r2);
}
int32_t main(){
INIT
cin>>ts;
while(ts--){
cin>>n>>m;
for(int i=1; i<=n; i++){dsu.ptr[i]=i; dsu.sz[i]=1; dsu.mrk[i]=false;}
for(int i=1; i<=n; i++){cin>>a[i]; oa[a[i] ].pb(i);}
for(int i=1; i<=n; i++){cin>>b[i]; ob[b[i] ].pb(i);}
for(int i=1; i<=m; i++){
int u, v; cin>>u>>v;
query q0; q0.u=u; q0.v=v; q0.l=max(b[u], b[v]); q0.r=min(a[u], a[v]);
ins(1, q0, 1, n);
}
bool res=rec(1, 1, n, 1);
for(int i=1; i<=n;i++){
if(a[i]<b[i]){res=false; break;}
}
cout<<res<<"\n";
for(int i=1; i<=n; i++){ oa[i].clear(); ob[i].clear();}
clean();
}
return 0;
}
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