#include "hack.h"
#include <bits/stdc++.h>
#define ll long long
#define dbg(x) cerr << #x << ' ' << x << endl;
using namespace std;
int hack()
{
vector<ll> x;
for (int i=1;i<=1e6;i++)
{
x.push_back(i);
}
map<ll,ll> id;
ll maxn=1e6;
for (int n=2;n<=1e6;n++)
{
ll val=maxn/n*(maxn) - n*((1+maxn/n)*(maxn/n))/2;
id[val]=n;
}
ll ans=collisions(x);
return id[ans];
}
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