#include "prize.h"
#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;
vector<int> res[202020];
bool visited[202020];
int worst_sum = 0;
vector<int> query(int pos) {
if (visited[pos]) return res[pos];
visited[pos] = true;
res[pos] = ask(pos);
if (res[pos][0] + res[pos][1] == 0) throw pos;
return res[pos];
}
void binary_search(int l, int r, int nl, int nr) {
FOR(i, 0, r - l + 1) {
int mid, midl = (l + r) / 2 - i / 2, midr = (l + r) / 2 + (i + 1) / 2;
if (i & 1) mid = midr;
else mid = midl;
vector<int> x = query(mid);
if (x[0] + x[1] == worst_sum) {
int xl = (i & 1 ? midr - midl : 0), xr = (i & 1 ? 0 : midr - midl);
if (x[0] - xl > nl) binary_search(l, midl - 1, nl, x[1] + xl);
if (x[1] - xr > nr) binary_search(midr + 1, r, x[0] + xr, nr);
break;
}
}
}
int find_best(int n) {
try {
int p = 0;
for (int i = 0; i < 474 && i < n && worst_sum < 27; i++) {
vector<int> x = query(i);
if (x[0] + x[1] > worst_sum) p = i, worst_sum = x[0] + x[1];
}
binary_search(p, n - 1, p, 0);
} catch (int ans) {
return ans;
}
return -1;
}
