#include "hack.h"
#include <bits/stdc++.h>
using namespace std;
bool is(int l,int r)
{
long long l2 = l * 1LL, r2 = r * 1LL;
long long m = sqrt(r2);
vector<long long> tester;
for(long long i=l2;i<=l2+m;++i)
{
tester.push_back(i);
}
for(long long i=r2;i>=l2;i -= m)
{
tester.push_back(i);
if(i - m >= m + l2)
break;
}
return collisions(tester);
}
int hack()
{
int l = 1;
int r = 1000000;
while(l < r)
{
int m = (l + r) >> 1;
if(is(l,m))
{
r = m;
}
else
{
l = m + 1;
}
}
return l;
}
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