#include "hack.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<ll>;
const int R = 1e9;
int hack(){
int l=1, r=R;
while(l<r) {
int m = (l+r)/2, x = (m-l+1), sq = sqrt(x);
vi v;
for(int i=1; i<=sq; ++i) v.push_back(i);
int cnt = m+1;
while(cnt > sq) {
v.push_back(cnt);
cnt -= sq;
if(l >= cnt) break;
}
if(collisions(v) > 0) r = m;
else l = m + 1;
}
return r;
}
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