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>
#define i2 array<int,2>
#define sz(x) ((int)x.size())
using namespace std;
set<i2> st;
string s;
int n, q;
int query(int a, int b){
cout << "? " << a << " " << b << endl;
int res; cin >> res;
return res;
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef _LOCAL
// freopen("in.txt","r",stdin);
#endif // _LOCAL
cin >> n >> q;
s = "";
for (int i = 0; i < n; i++)
s += "?";
for (int i = 2; i <= n; ){
int res = query(i - 1, i);
if (!res){
i++;
} else {
int l = i - 1, r = i;
s[l] = '(';
s[r] = ')';
while (1){
while (sz(st) > 0){
i2 cr = (*(--st.end()));
if (cr[1] + 1 != l) break;
l = cr[0];
st.erase(cr);
}
if (l == 1 || r == n) break;
res = query(l - 1, r + 1);
if (!res) break;
s[l - 1] = '(';
s[r + 1] = ')';
l--; r--;
}
i = r + 1;
st.insert({l, r});
}
}
int cnt = 0;
for (int i = 0; i < sz(s); i++)
cnt += bool(s[i] == '?');
assert(cnt % 2 == 0);
cnt /= 2;
for (int i = 0; i < sz(s); i++)
if (s[i] == '?'){
s[i] = (cnt > 0 ? '(' : ')');
cnt--;
}
cout << "! " << s << endl;
return 0;
}
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