#include "hack.h"
#include <vector>
#include <map>
using ll = long long;
int hack(){
// std::vector<long long> x = {3333,2565454,21223,898997,9999,4,8,100,2340040,222,44,2222211};
// long long a = collisions(x);
std::vector<ll> x;
for(ll i=1;i<=500000;++i)
x.push_back(i);
ll c = collisions(x);
ll n;
for(n=2;n<=500000;++n)
{
std::map<ll,ll> mp;
ll a = 0;
for(ll &x2 : x)
{
a+=mp[x2 % n];
++mp[x2 % n];
}
if(a==c)
break;
}
return n;
}
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