#include "hack.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll MAXN = 1e6;
ll pre[MAXN + 5];
void make_pre()
{
pre[0] = 0;
for (ll i = 1; i <= MAXN; i++)
pre[i] = pre[i - 1] + i;
}
int hack()
{
vector<ll> in;
for (ll i = 1; i <= MAXN; i++)
in.push_back(i);
make_pre();
ll res = collisions(in);
for (ll i = 1; i <= MAXN; i++)
{
ll exp = (i * pre[((MAXN / i) - 1)]) + ((MAXN / i) * (MAXN % i));
if (exp == res)
return i;
}
return -1;
}
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