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;
const int nx=1e5+5;
int n, q, cnt, res[nx], x, jmp[nx], f[nx];
int query(int l, int r)
{
cout<<"? "<<l<<' '<<r;
fflush(stdout);
cin>>x;
return x;
}
void solve(int l, int r)
{
if (l<1||r>n||res[r]||f[r]) return;
if (res[l]) return solve(jmp[l], r), void();
if (query(l, r)) res[l]=1, res[r]=2, jmp[r]=l-1, cnt+=2, solve(l-1, r+1);
else f[r]=1;
}
int main()
{
cin>>n>>q;
for (int i=1; i<=n; i++)
{
solve(i, i+1);
}
cnt=(n-cnt)/2;
for (int i=1; i<=n; i++)
{
//cout<<jmp[i]<<' ';
if (!res[i]&&cnt>0) cnt--, res[i]=2;
else if (!res[i]) res[i]=1;
}
//cout<<'\n';
cout<<"! ";
for (int i=1; i<=n; i++) cout<<((res[i]==1)?'(':')');
fflush(stdout);
}
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