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/*
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Problem : Even Position 1997C
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Approach : Use stack to keep track of all '(' and use them as soon as possible
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Time Complexity : O(n)
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Space Complexity : O(n)
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Submission Link : https://codeforces.com/problemset/submission/1997/355694114
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*/
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#include <bits/stdc++.h>
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#include <bits/stdc++.h>
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#include <ext/pb_ds/assoc_container.hpp>
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#include <ext/pb_ds/tree_policy.hpp>
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using namespace std;
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using namespace __gnu_pbds;
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#define fast_io ios::sync_with_stdio(false); cin.tie(nullptr);
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#define int long long
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#define ull unsigned long long
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#define ld long double
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#define vi vector<int>
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#define vb vector<bool>
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#define vs vector<string>
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#define pii pair<int,int>
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#define pll pair<long long,long long>
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#define vpi vector<pii>
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#define vpl vector<pll>
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#define vvi vector<vi>
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#define mii map<int,int>
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#define si set<int>
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#define osi ordered_set<int>
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#define loop(i,n) for (int i = 0; i < n; i++)
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#define rloop(i,n) for (int i = n - 1; i >= 0; i--)
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#define loop1(i,a,b) for (int i = a; i <= b; i++)
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#define rloop1(i,a,b) for (int i = a; i >= b; i--)
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#define pb push_back
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#define ppb pop_back
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#define mp make_pair
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#define F first
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#define S second
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#define lb lower_bound
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#define ub upper_bound
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#define all(x) (x).begin(), (x).end()
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#define rall(x) (x).rbegin(), (x).rend()
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#define sz(x) ((int)(x).size())
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#define findbo(x) find_by_order(x) // returns iterator to the k-th largest element (0-based)
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#define orderbk(x) order_of_key(x) // returns number of items strictly smaller than x
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#define endl '\n'
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#define printy cout<<"YES"<<endl
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#define printn cout<<"NO"<<endl
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#define vout(a) for (int i = 0; i < a.size(); i++) cout << a[i] << ' '; cout << endl;
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#define vpout(a) loop(i,sz(a)) cout <<a[i].F<<' '<< a[i].S<< endl; cout << endl;
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#define rt(x){ cout<<x<<endl; return; }
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template<typename T>
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using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; // less_equal<T> for multiset, greater<T> for decreasing order
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const int MOD = 1e9 + 7;
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const int INF = 1e9;
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#ifndef ONLINE_JUDGE
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#define debug(x) cerr<<#x<<" = "; _print(x); cerr<<endl;
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template<typename T> void _print(const T& x){ cerr<<x; }
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template<typename T,typename U> void _print(const pair<T,U>& p){ cerr<<"("; _print(p.first); cerr<<", "; _print(p.second); cerr<<")"; }
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template<typename T> void _print(const vector<T>& v){ cerr<<"["; for(size_t i=0;i<v.size();++i){ _print(v[i]); if(i+1!=v.size()) cerr<<", "; } cerr<<"]"; }
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template<typename T> void _print(const set<T>& s){ cerr<<"{"; for(auto it=s.begin(); it!=s.end(); ++it){ _print(*it); if(next(it)!=s.end()) cerr<<", "; } cerr<<"}"; }
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template<typename T,typename U> void _print(const map<T,U>& m){ cerr<<"{"; for(auto it=m.begin(); it!=m.end(); ++it){ _print(it->first); cerr<<": "; _print(it->second); if(next(it)!=m.end()) cerr<<", "; } cerr<<"}"; }
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#else
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#define debug(x)
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#endif
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#define sumV(a) accumulate(all(a), 0LL)
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#define minV(a) min_element(all(a))
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#define maxV(a) max_element(all(a))
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int log2f(long long n) {
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if (n==0) return -1;
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int res = 0;
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while (n > 1){
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n >>= 1;
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res++;
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}
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return res;
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}
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int binpow(int a, int n) {
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int result = 1;
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a %= MOD;
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while (n > 0) {
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if (n & 1)
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result = (result * a) % MOD;
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a = (a * a) % MOD;
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n >>= 1;
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}
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return result;
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}
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void solve(){
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int n;
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cin>>n;
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string s;
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cin>>s;
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int ans = 0;
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stack<int> st;
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loop(i,n){
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if(s[i]=='(') st.push(i);
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else if(s[i]=='_'){
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if(st.empty()) st.push(i);
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else{
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ans += (i-st.top());
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st.pop();
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}
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}else{
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ans += (i-st.top());
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st.pop();
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}
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}
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cout<<ans<<endl;
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}
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int32_t main(){
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fast_io;
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int t=1;
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cin>>t;
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while(t--){
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solve();
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}
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return 0;
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}

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