This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//記得跳題
//#pragma GCC optimize("O4,unroll_loops")
//#pragma GCC target("avx2")
#include<iostream>
#include<array>
#include<vector>
#include<string>
#include<algorithm>
#include<set>
#include<queue>
#include<stack>
#include<math.h>
#include<map>
#include<unordered_map>
#include<unordered_set>
#include<cstring>
#include<iomanip>
#include<bitset>
#include<tuple>
#include<random>
#define ll long long
#define FOR(i,a,b) for(int i=a;i<b;i++)
#define REP(i,a,b) for(int i=a;i>=b;i--)
#define pb push_back
#define INF (ll)(2e18)
#define F first
#define S second
#define endl "\n"
#define AC ios::sync_with_stdio(0);
using namespace std;
string s;
int id[200005], a[200005], b[200005], suf[200005], ans[200005], who[200005];
void solve() {
int n; cin >> n;
cin >> s;
int ca = 0;
FOR (i, 0, n) {
cin >> a[i] >> b[i];
a[i]--; b[i]--;
id[a[i]] = 1; id[b[i]] = 2;
if (s[a[i]] != s[b[i]]) ca = 1;
}
if(n & 1) {
cout << -1 << endl; return;
}
if (!ca) {
int cnt = 0;
FOR (i, 0, 2*n) {
if (s[i] == '(') cnt++;
else cnt --;
}
if (cnt) {
cout << -1 << endl;
} else {
int cur = 0;
FOR (i, 0, 2*n) {
if (s[i] == '(' && id[i] == 1) {
cur++;
} else if(s[i] == ')' && id[i] == 2) {
cur--;
if (cur < 0) {
cout << -1 << endl; return;
}
}
}
FOR (i, 0, n) {
if (s[a[i]] == '(') cout << 0 << " ";
else cout << 1 << " ";
}
cout << endl;
}
} else if(n <= 11) {
FOR (m, 0, 1<<n) {
string tmp = s;
FOR (i, 0, n) {
if (m & (1<<i)) {
tmp[a[i]] = s[a[i]];
tmp[b[i]] = '?';
} else {
tmp[a[i]] = '?';
tmp[b[i]] = s[b[i]];
}
}
// cout << "tmp = " << tmp << endl;
bool ok = 1;
int sum = 0;
FOR (i, 0, 2*n) {
if (tmp[i] != '?') {
if (tmp[i] == '(') sum++;
else sum--;
if (sum < 0){
ok = 0;
break;
}
}
}
if (ok && !sum) {
FOR (i, 0, n) {
if (m & (1<<i)) {
if (i != n-1) cout << 0 << " ";
else cout << 0 << endl;
} else {
if (i != n-1) cout << 1 << " ";
else cout << 1 << endl;
}
}
//cout << endl;
return;
}
}
cout << -1 << endl;
} else {
FOR (i, 0, n) {
ans[i] = 0;
who[a[i] / 2] = i;
}
suf[n] = 0;
REP (i, n-1, 0) {
suf[i] = suf[i+1];
if (s[2*i] == ')' || s[2*i+1] == ')') suf[i]++;
}
int sum = 0;
FOR (i, 0, n) {
if (s[2*i] == s[2*i+1]) {
if (s[2*i] == '(') sum++;
else sum--;
if (sum < 0) {
cout << -1 << endl; return;
}
} else {
if (suf[i+1] >= sum + 1) {
sum++;
if (s[2*i] == '(') ans[who[i]] = 0;
else ans[who[i]] = 1;
} else {
sum--;
if (s[2*i] == '(') ans[who[i]] = 1;
else ans[who[i]] = 0;
if (sum < 0) {
cout << -1 << endl; return;
}
}
}
}
if (sum) {
cout << -1 << endl;
} else {
FOR (i, 0, n) cout << ans[i] << " ";
cout << endl;
}
}
}
signed main(){
AC;
int t; cin >> t;
while (t--) {
solve();
}
}
/*
vector<pair<int, int> > e[200005];
vector<pair<int, int> > ans;
void dfs(int now, int f,int up){
if (up != -1) {
ans.pb({now, up});
}
for (auto i:e[now]) if (i.F != f) {
dfs(i.F, now, i.S);
}
}
signed main(){
AC;
int n, m; cin >> n >> m;
FOR (i, 0, m) {
int a, b; cin >> a >> b;
e[a].pb({b, 0});
e[b].pb({a, 1});
}
dfs(1, 0, -1);
cout << ans.size() << endl;
for (auto i:ans) {
cout << i.F << " " << i.S << endl;
}
}
*/
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