#include <bits/stdc++.h>
#include "routers.h"
#pragma GCC optimize("O2,unroll-loops")
#define fio ios_base::sync_with_stdio(0);cin.tie(0);
#define ll long long
#define en cin.close();return 0;
#define pb push_back
#define fi first//printf("%lli\n",cur);
#define se second//scanf("%lli",&n);
#define r0 return 0;
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
vector<int> find_routers(int len, int n, int q)
{
vector<int> ans(n);
int idx = 0, lst = 0, sq = sqrt(n);
map<int,int> mp;
for(int i = 1;i<n;i++)
{
int l = lst+1, r = len;
if(n!=2){
while(l+sq<r)
{
int pos = l+sq, ind = (mp.count(pos)?mp[pos]:use_detector(pos));
mp[pos]=ind;
if(ind==idx)
l=pos;
else
{
r=pos;
break;
}
}
}
while(l<r)
{
int mid = (l+r+1)/2, ind = (mp.count(mid)?mp[mid]:use_detector(mid));
mp[mid]=ind;
if(ind==idx)
l=mid;
else
r=mid-1;
}
int nwpos = lst + (l-lst)*2, nwind = i;
mp[nwpos]=nwind;
ans[nwind]=nwpos;
lst=nwpos;
idx=nwind;
}
return ans;
}
