#include "monster.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define ent "\n"
const int maxn = 2e5 + 100;
const ll INF = (ll)1e18 + 100;
const int inf = 1e7 + 100;
const ll MOD = 1e9 + 7;
const int maxl = 16;
const ll P = 31;
mt19937 rng(667);
std::vector<int> Solve(int N) {
vector<int> v;
vector<int> ans(N, 0);
for(int i = 0; i < N; i++){
v.push_back(i);
} shuffle(v.begin(), v.end(), rng);
for(int i = 1; i < v.size(); i++){
int j = i;
for(int l = 0, r = i - 1; l <= r;){
int mid = (l + r) >> 1;
if(Query(v[i], v[mid])) l = mid + 1;
else r = mid - 1, j = mid;
} for(int k = i; k > j; k--){
swap(v[k], v[k-1]);
}
}
vector<pii> s;
int k = min((int)10, (int)v.size());
for(int i = 0; i < k; i++){
s.push_back({0, i});
for(int j = 0; j < k; j++){
if(i == j) continue;
s.back().first += Query(v[i], v[j]);
}
} sort(s.begin(), s.end());
int st = s[0].second;
if(!Query(v[st], v[s[1].second])) st = s[1].second;
reverse(v.begin(), v.begin() + st + 1);
for(int i = st; i + 1 < N;){
int j = i + 1;
while(!Query(v[i], v[j])) j++;
reverse(v.begin() + i + 1, v.begin() + j + 1);
i = j;
} for(int i = 0; i < N; i++){
ans[v[i]] = i;
} return ans;
}
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