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>
using namespace std;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> pii;
typedef vector<pii> vpii;
int n;
long double Radius(int d, long double r){
return (long double)d*((long double)d/(4*r));
}
int main(){
cin >> n;
int lastIdx;
int position[n];
long double radius[n];
vector<pair<int, long double>> MyStack;
cin >> position[0] >> radius[0];
MyStack.push_back({position[0], radius[0]});
for(int i = 1; i < n; ++i){
cin >> position[i] >> radius[i];
while((MyStack.size() > 1)){
lastIdx = MyStack.size()-1;
long double LastRad = Radius(position[i] - MyStack[lastIdx].first, MyStack[lastIdx].second);
long double PrevRad = Radius(position[i] - MyStack[lastIdx-1].first, MyStack[lastIdx-1].second);
if(LastRad > PrevRad) MyStack.pop_back();
else{
int prePos = MyStack[lastIdx].first;
long double preRad = MyStack[lastIdx].second;
MyStack.pop_back(); MyStack.pop_back();
MyStack.push_back({prePos, preRad});
}
}
lastIdx = MyStack.size()-1;
long double finalRad = Radius(position[i] - MyStack[lastIdx].first, MyStack[lastIdx].second);
radius[i] = min(radius[i], finalRad);
MyStack.push_back({position[i], radius[i]});
}
for(int i = 0; i < n; ++i) cout << fixed << radius[i] << endl;
return 0;
}
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