#define LOCAL

#undef _GLIBCXX_DEBUG

#include <bits/stdc++.h>
using namespace std;

#define IOS ios::sync_with_stdio(false);cin.tie(0)
#define all(x) x.begin(), x.end()
#define ff first
#define ss second
#define MOD 1000000007LL
#define rep(i,a,n) for (int i=a ; i<n ; i++)
#define per(i,a,n) for (int i=n-1 ; i>=a ; i--)
#define LLINF 100000000000000005LL
#define INF (int)1e9+1
#define endl '\n'
#define pb push_back

// Copied from Gennady-Korotkevich's template

template <typename A, typename B>
string to_string(pair<A, B> p);

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);

string to_string(const string& s) {
	return '"' + s + '"';
}

string to_string(const char* s) {
	return to_string((string)s);
}

string to_string(bool b) {
	return (b ? "true" : "false");
}

string to_string(vector<bool> v) {
	bool first = true;
	string res = "{";
	for (int i = 0; i < static_cast<int>(v.size()); i++) {
		if (!first) {
			res += ", ";
		}
		first = false;
		res += to_string(v[i]);
	}
	res += "}";
	return res;
}

template <size_t N>
string to_string(bitset<N> v) {
	string res = "";
	for (size_t i = 0; i < N; i++) {
		res += static_cast<char>('0' + v[i]);
	}
	return res;
}

template <typename A>
string to_string(A v) {
	bool first = true;
	string res = "{";
	for (const auto& x : v) {
		if (!first) {
			res += ", ";
		}
		first = false;
		res += to_string(x);
	}
	res += "}\n";
	return res;
}

template <typename A, typename B>
string to_string(pair<A, B> p) {
	return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
	return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")";
}

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
	return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}

template <typename A, typename B, typename C, typename D, typename E>
string to_string(tuple<A, B, C, D, E> p) {
	return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + "," + to_string(get<4>(p)) + ")";
}

void debug_out() {
	cerr << endl;
}

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
	cerr << " " << to_string(H);
	debug_out(T...);
}

#ifdef LOCAL
#define debug(...) cerr << "\n[" << #__VA_ARGS__ << "]:\n", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

// debug tool end

using llong = long long;
using VI = vector<int>;
using VVI = vector<vector<int>>;
using VPII = vector<pair<int, int>>;
using VLL = vector<long long>;
using PII = pair<int, int>;

int main() {
	int ll = 1, rr = 1000000;
	int ans;
	while (ll <= rr) {
		int mid = (ll + rr) / 2;
		cout << mid;
		cout.flush();
		string s;
		cin >> s;
		if (s == ">=") {
			ans = mid;
			ll = mid + 1;
		}
		else {
			rr = mid - 1;
		}
	}
	cout << "! " << ans;
	cout.flush();
	return 0;
}

This is an easy interactive question that guesses the number 1 to 1000000 by binary search. However, I am new to the concept of interactive problems, and I am getting an idleness TLE on this problem. Can someone tell me what is causing the Idleness on my code? Thanks in advance.

Problem statement : https://mirror.codeforces.com/gym/101021/problem/1