#include "hack.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define rep(i,a,b) for(int i = a; i <= b; i++)
#define pb push_back
int hack(){
    vector<ll> vals;
    const ll B = 31622;
    rep(i,1,B) vals.pb(i);
    for(ll i = 1000000001LL; i<=3000000001LL; i+=B) {
        vals.pb(i);
    }
    ll x = collisions(vals);
    ll l,r;
    l=(2*B)/x,r=(2*B)/x+3;
    for(ll i = B*l ; i <= r*B; i++) {
        if(i==0)continue;
        x = collisions({2*i,i});
        if(x==1) {
            return i;
        }
    }
    for(ll i = B; i<= 1000000000; i+=B) {
        x = collisions({2*i,i});
        if(x==1) {
            return i;
        }
    }
    return -1;
}
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