This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimize("O3")
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using arr = array<int, 2>;
using arrr = array<int, 3>;
set <ll> used;
int query(ll p)
{
used.insert(p);
cout << "? " << p << endl;
int a;
cin >> a;
return a;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
ll n;
cin >> n;
if (n == 3) {
int a, b;
query(1);
a = query(3);
b = query(2);
if (a == 0) cout << "= " << 3 << endl;
else if (b == 0) cout << "= " << 2 << endl;
else cout << "= " << 1 << endl;
return 0;
}
vector <ll> seq = { n };
for (ll i = 0; seq.size() == 1 || abs(seq[i - 1] - seq[i]) >= n / 2; i++)
{
seq.emplace_back(seq.back() + (n - (1ll << i)) * (i & 1 ? 1 : -1));
}
if (seq[seq.size() - 1] == seq[seq.size() - 2]) seq.pop_back();
// for (ll i : seq) cout << i << " ";
// cout << "\n";
ll dd = 62 - __builtin_clzll(n);
ll a, b, d;
a = seq.back(), b = seq[seq.size() - 2];
d = abs(a - b);
bool add = (a < b);
ll l = 1, r = n;
query(a);
int ans;
while (l != r)
{
a += (add ? d : -d);
ans = query(a);
if (ans)
{
r = d;
if (dd >= 0) {
d -= (1ll << dd);
while (d < 1 && l != r)
{
d += (1ll << dd);
dd--;
d -= (1ll << dd);
}
}
} else {
l = d + 1;
if (dd >= 0) {
d += (1ll << dd);
while (d >= n && l != r)
{
d -= (1ll << dd);
dd--;
d += (1ll << dd);
}
}
}
dd--;
add ^= 1;
}
// cerr << l << " " << r << "\n";
cout << "= " << l << endl;
// cerr << used.size() << "\n";
}
// 1000000000000000000
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