#include "hack.h"
#include <bits/stdc++.h>
#define ll long long
using namespace std;
int hack()
{
int l=2, r=1e9;
while (l<r)
{
int mid=(l+r)/2, sq=sqrt(mid-l+1.5);
vector<long long> tmp;
for (int i=1; i<=sq; i++)
tmp.push_back(i);
for (int i=mid+1; i>l; i-=sq)
tmp.push_back(i);
sort(tmp.begin(), tmp.end());
tmp.resize(unique(tmp.begin(), tmp.end())-tmp.begin());
if (collisions(tmp))
r=mid;
else
l=mid+1;
}
return l;
}
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