# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
872236 | imarn | Balloons (CEOI11_bal) | C++14 | 185 ms | 5132 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define pb push_back
#define f first
#define ll long double
#define s second
#define vll vector<ll>
#define vi vector<int>
#define sz(x) (int)x.size()
using namespace std;
ll inf=1e18;
bool qr;
struct line {
mutable ll m,p,c;
line(ll p) : m(0),c(inf),p(p){};
line(ll m,ll c) : m(m),c(c),p(0){};
bool operator<(const line &o)const{return qr? p<o.p:m>o.m;}
};
struct chtr:multiset<line>{
bool isect(iterator x,iterator y){
if(y==end())return x->p=inf,0;
if(x->m==y->m)x->p=x->c<=y->c?inf:-inf;
else x->p = (x->c-y->c)/(y->m-x->m);
return x->p>=y->p;
}
void add(ll m,ll c){
auto y=insert(line(m,c)),x=y,z=next(y);
while(isect(y,z))z=erase(z);
while(x!=begin()&&isect(--x,y))isect(x,erase(y));
while((y=x)!=begin()&&(--x)->p>=y->p)isect(x,erase(y));
}
ll get(ll x){
if(empty())return inf;
qr=1;auto q=lower_bound(line(x));qr=0;
return q->m*x+q->c;
}
}cht;
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);
int n;cin>>n;
ll a[n];
ll x,r;cin>>x>>r;a[0]=r;
cht.add(1.0/(2.0*sqrt(r)),-x/(2.0*sqrt(r)));
for(int i=1;i<n;i++){
cin>>x>>r;ll y = cht.get(x);
r = min(r,y*y);a[i]=r;
cht.add(1.0/(2.0*sqrt(r)),-x/(2.0*sqrt(r)));
}
for(int i=0;i<n;i++)cout<<fixed<<setprecision(3)<<a[i]<<"\n";
}
Compilation message (stderr)
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