#include "hack.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<ll>;
int hack(){
int l = 1, r = 1e6, ans = 1e6;
while(l < r) {
int mid = (l+r)/2;
if((r-l) == 1) ++mid;
vi v;
if(l != 1) v.push_back(1);
for(int i=l; i<=mid; ++i) v.push_back(i);
int x = collisions(v);
if(x) {
ans = mid - 1;
r = mid - 1;
} else l = mid;
}
return ans;
}
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