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;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<ll> vll;
const ll mod=1e9+7;
const ll maxn=1e5+5;
const int INF=1e9+5;
#define ok ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define fi first
#define se second
#define pb push_back
#define ub upper_bound
#define lb lower_bound
#define endl '\n'
int bk, ttp, jwb, rem, nah[maxn];
stack<int> st;
char ans[maxn];
ll n, q;
int main() {
ok
cin >> n >> q;
if(q==(n*n)/4) {
rem=0;
memset(nah, 0, sizeof nah);
for(int i=1; i<n; i++) {
for(int j=i+1; j<=n; j+=2) {
cout << "? " << i << " " << j << endl;
cout.flush();
cin >> jwb;
if(jwb==1) {
nah[i]=1;
nah[j]=2;
}
}
}
for(int i=1; i<=n; i++) {
if(!nah[i]) {
rem++;
}
}
rem/=2;
for(int i=1; i<=n; i++) {
if(rem && !nah[i]) {
nah[i]=2;
rem--;
} else if(!nah[i]) nah[i]=1;
}
cout << "! ";
for(int i=1; i<=n; i++) {
if(nah[i]==1) cout << '(';
else cout << ')';
}
cout << endl;
return 0;
}
for(int i=1; i<=n; i++) {
if(st.empty()) {
ans[i]='(';
st.push(i);
continue;
}
cout << "? " << st.top() << " " << i << endl;
cout.flush();
cin >> jwb;
if(jwb==1) {
ans[i]=')';
st.pop();
} else {
ans[i]='(';
st.push(i);
}
}
cout << "! ";
for(int i=1; i<=n; i++) {
cout << ans[i];
}
cout << endl;
return 0;
}
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