#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::map<ll,ll> mp;
ll cnt = 0;
int i;
for(i=1;i<=500000;++i)
{
for(int j=0;j<x.size();++j)
{
cnt+=mp[x[j] % i]-1;
++mp[x[j] % i];
}
if(cnt == a)
break;
mp.clear();
}
return i;
}
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