제출 #1167595

#제출 시각아이디문제언어결과실행 시간메모리
1167595kiennguyendinhBalloons (CEOI11_bal)C++17
100 / 100
115 ms11392 KiB
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
using namespace std;
struct ball{
    long double x,r;
};
ball a[200001];
long double res[200001];
int st[200001];
int to = 0;
void pu(int pos){
    st[++to] = pos;
}
void po(){
    to--;
}
int n;
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);cout.tie(0);
    cin >> n;
    for(int i = 1;i <= n;i++) cin >> a[i].x >> a[i].r;
    res[1] = a[1].r;
    pu(1);
    for(int i = 2;i <= n;i++){
        res[i] = a[i].r;
        res[i] = min(res[i],(a[st[to]].x*a[st[to]].x - 2*a[i].x*a[st[to]].x + a[i].x*a[i].x)/(4*res[st[to]]));
        while(to && res[i] >= res[st[to]]){
            po();
            res[i] = min(res[i],(a[st[to]].x*a[st[to]].x - 2*a[i].x*a[st[to]].x + a[i].x*a[i].x)/(4*res[st[to]]));
        }
        pu(i);
    }
    for(int i = 1;i <= n;i++){
        cout << fixed << setprecision(3) << res[i] << "\n";
    }
    return 0;
}
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