제출 #872121

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
872121		12345678	Balloons (CEOI11_bal)	C++17	20 / 100	191 ms	12988 KiB

bal

#include <bits/stdc++.h>

using namespace std;

const int nx=2e5+5;
double n, x[nx], mx[nx], dp[nx];
set<pair<double, long long>> ms;

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n;
    for (int i=1; i<=n; i++) cin>>x[i]>>mx[i];
    for (int i=1; i<=n; i++)
    {
        if (ms.empty()) dp[i]=mx[i], ms.insert({DBL_MAX, i});
        else
        {
            auto itr=ms.lower_bound({x[i], LLONG_MAX});
            dp[i]=min(double(mx[i]), ((x[i]-x[itr->second])*(x[i]-x[itr->second]))/(4*dp[itr->second]));
            while (dp[ms.begin()->second]<=dp[i]&&!ms.empty()) ms.erase(ms.begin());
            if (ms.empty()) ms.insert({DBL_MAX, i});
            else
            {
                long long l=ms.begin()->second;
                double a=dp[i]-dp[l], b=-2*(dp[i]*x[l]-dp[l]*x[i]), c=dp[i]*x[l]*x[l]-dp[l]*x[i]*x[i];
                double tmp=max((-b+sqrt(b*b-4*a*c))/(2*a), (-b-sqrt(b*b-4*a*c))/(2*a));
                ms.insert({tmp, i});
            }
        }
    }
    for (int i=1; i<=n; i++) printf("%.3f\n", dp[i]);
}

/*
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*/

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