//chockolateman
#include<bits/stdc++.h>
#include <vector>
#include "hack.h"
using namespace std;
const long long S = 31623;
vector<long long> nums;
map<long long,bool> done;
map<long long,long long> memo;
long long query_pair(long long x)
{
if(done[x])
return memo[x];
done[x] = true;
vector<long long> temp;
temp.push_back(1);
temp.push_back(1+x);
memo[x] = collisions(temp);
return memo[x];
}
long long query(long long l,long long r)
{
vector<long long> temp;
for(long long i = l ; i <= r ; i++)
temp.push_back(nums[i]);
long long res = collisions(temp);
return res;
}
long long counter = 0;
int hack(){
counter++;
done.clear();
memo.clear();
if(nums.empty())
{
nums.push_back(0); //make it 1-indexed
for(long long i = 1 ; i < S ; i++)
nums.push_back(nums.back() + 1);
for(long long i = 1 ; i <= S ; i++)
nums.push_back(nums.back() + S);
}
random_shuffle(nums.begin(),nums.end());
long long l = 1;
long long r = nums.size() - 1;
while(l < r)
{
long long mid = (l+r+1)/2;
if(query(1,mid))
r = mid-1;
else
l = mid;
}
r++;
int n;
for(l = r-1 ; l >= 0 ; l--)
if(query_pair(abs(nums[r] - nums[l])))
{
n = abs(nums[r] - nums[l]);
break;
}
return n;
}
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