This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("sse4,abm,avx,popcnt")
#include<bits/stdc++.h>
#define int long long
#define quick ios::sync_with_stdio(0);cin.tie(0);
#define rep(x,a,b) for(int x=a;x<=b;x++)
#define repd(x,a,b) for(int x=a;x>=b;x--)
#define F first
#define S second
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define all(x) x.begin(),x.end()
#define sz(x) (int)(x.size())
#define lowbit(x) (x&-x)
using namespace std;
typedef pair<int,int> pii;
void debug(){
cout<<"\n";
}
template<class T,class ...U>
void debug(T a,U ...b){
cout<<a<<" ",debug(b...);
}
const int N=2e5+7;
const int INF=1e18L;
pii p[N];
void solve(){
int n;
cin>>n;
string s;
cin>>s;
set<pii> st;
vector<pii> v;
map<pii,int> ch;
int cnt=0;
rep(i,0,n-1){
cin>>p[i].F>>p[i].S;
--p[i].F,--p[i].S;
if(s[p[i].F]!=s[p[i].S]) v.eb(p[i]);
else{
if(s[p[i].F]=='(') st.insert(mp(p[i].F,1)),cnt++,ch[p[i]]=0;
else {
st.insert(mp(p[i].S,-1));
ch[p[i]]=1;
cnt--;
}
}
}
int total=-cnt+sz(v);
if(total%2){
cout<<"-1\n";
return ;
}
int a=total/2;
int b=a+cnt;
if(a<0||b<0) {
cout<<"-1\n";
return ;
}
sort(all(v));
for(pii p2:v){
if(s[p2.F]=='('){
if(a>0){
st.insert(mp(p2.F,1));
ch[p2]=0;
a--;
}
else{
ch[p2]=1;
b--;
st.insert(mp(p2.S,-1));
}
}
else if(s[p2.F]==')'){
if(a>0){
st.insert(mp(p2.S,1));
ch[p2]=1;
a--;
}
else{
st.insert(mp(p2.F,-1));
ch[p2]=0;
b--;
}
}
}
assert(a==0&&b==0);
int sum=0;
for(pii p2:st){
sum+=p2.S;
if(sum<0){
cout<<"-1\n";
return ;
}
}
rep(i,0,n-1){
cout<<ch[p[i]]<<" \n"[i==n-1];
}
}
signed main(){
quick
int t;
cin>>t;
while(t--){
solve();
}
}
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