이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
#define InTheNameOfGod ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
using ll = long long;
const int maxN = 2e5 + 5;
const int MOD = 1e9 + 7;
const int INF = 1e9 + 7;
double val(double x, double r) {
return x*x/4.0/r;
}
int main() {
InTheNameOfGod;
int n;
cin >> n;
vector<pair<double, double> > v(n);
for(int i = 0; i < n; i++) {
cin >> v[i].first >> v[i].second;
}
vector<int> ind;
ind.push_back(0);
vector<double> mo = {v[0].second};
for(int i = 1; i < n; i++) {
while(ind.size() > 1 && val(v[i].first-v[ind[ind.size()-2]].first, mo[ind[ind.size()-2]]) <= val(v[i].first-v[ind[ind.size()-1]].first, mo[ind[ind.size()-1]])) {
ind.pop_back();
}
int j = ind.back();
double x = v[i].first - v[j].first;
double mini = min(v[i].second, val(x, mo[j]));
mo.push_back(mini);
while(!ind.empty() && mo[ind.back()] < mini) ind.pop_back();
ind.push_back(i);
}
cout << fixed << setprecision(3);
for(int i = 0; i < n; i++) cout << mo[i] << endl;
return 0;
}
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