#include "prize.h"
#include "bits/stdc++.h"
using namespace std;
#ifdef duc_debug
#include "bits/debug.h"
#else
#define debug(...)
#endif
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
int rand(int l, int r) {
assert(l <= r);
return uniform_int_distribution<int> (l, r)(rng);
}
const int maxn = 2e5 + 5;
const int B = 478;
vector<int> que[maxn];
int cnt_asks;
vector<int> abc(int i) {
++cnt_asks;
if(!que[i].empty()) {
return que[i];
} else {
return que[i] = ask(i);
}
}
int ans, mx;
void calc(int l, int r) {
if (r - l < 2 || ans != -1) return;
if (que[r][0] - que[l][0] == 0) return;
int mid = (l + r) >> 1;
int pl = mid, pr = mid;
bool skip_left = 0, skip_right = 0;
while (pr < r) {
abc(pr);
if (que[pr][0] + que[pr][1] == 0) {
ans = pr;
return;
}
if (que[pr][0] == 0) skip_left = 1;
if (que[pr][1] == 0) {
skip_right = 1;
break;
}
if (que[pr][0] + que[pr][1] == mx) break;
++pr;
}
if (!skip_right) {
calc(pr, r);
}
if (skip_left) return;
while (pl > l) {
abc(pl);
if (que[pl][0] + que[pl][1] == 0) {
ans = pl;
return;
}
if (que[pl][0] == 0) {
skip_left = 1;
break;
}
if (que[pl][0] + que[pl][1] == mx) break;
--pl;
}
if (!skip_left) {
calc(l, pl);
}
}
int find_best(int n) {
ans = -1;
int x = min(n - 1, B);
for (int i = 0; i <= x; ++i) {
vector<int> cur = abc(i);
if (cur[0] + cur[1] == 0) return i;
mx = max(mx, cur[0] + cur[1]);
}
while (x >= 0) {
if (que[x][0] + que[x][1] == mx) break;
--x;
}
int lst = n - 1;
while (lst >= 0) {
vector<int> cur = abc(lst);
if (cur[0] + cur[1] == 0) return lst;
if (cur[0] + cur[1] == mx) break;
--lst;
}
calc(x, lst);
return ans;
}
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