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 <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ldb;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef pair<ldb,ldb> pdd;
#define ff(i,a,b) for(int i = a; i <= b; i++)
#define fb(i,b,a) for(int i = b; i >= a; i--)
#define trav(a,x) for(auto& a : x)
#define sz(a) (int)(a).size()
#define fi first
#define se second
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// os.order_of_key(k) the number of elements in the os less than k
// *os.find_by_order(k) print the k-th smallest number in os(0-based)
const int mod = 1000000007;
const int inf = 1e9 + 5;
const int mxN = 100005;
int n, q;
int L[mxN];
int R[mxN];
int res[mxN];
int ask(int l, int r){
q -= 1;
if(q < 0){
cout << "LOS: " << '\n';
exit(0);
}
cout << "? " << l << " " << r << endl;
int X;
cin >> X;
return X;
}
int main(){
cin.tie(0)->sync_with_stdio(0);
cin >> n >> q;
ff(i,1,n){
L[i] = i - 1;
R[i] = i + 1;
}
int l = 1; int br = 0;
while(1){
bool ok = 0;
ff(i,l,n - 1){
if(!res[i] && ask(i, R[i])){
res[i] = 1; res[R[i]] = 2;
int j = R[i];
R[L[i]] = R[j];
L[R[j]] = L[i];
l = max(1, L[i]);
ok = 1;
break;
}
}
if(!ok)break;
}
int ost = (n - br) / 2;
ff(i,1,n){
if(res[i])continue;
if(ost > 0)res[i] = 2, ost -= 1;
else res[i] = 1;
}
cout << "! ";
ff(i,1,n)cout << (res[i] == 1 ? '(' : ')');
cout << endl;
return 0;
}
/*
// probati bojenje sahovski
*/
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