Submission #1278632

#TimeUsernameProblemLanguageResultExecution timeMemory
1278632foodBalloons (CEOI11_bal)C++20
10 / 100
102 ms6528 KiB
#include<bits/stdc++.h>
#define ll long long
using namespace std;
ll n;
double x[200001];
double r[200001];
double ans[200001];
stack<pair<double,double>> st;
double cal(double ir,ll ix,ll jx)
{
	return (double)((jx-ix)*(jx-ix))/(4*ir);
}
int main()
{
	// freopen("sequence.inp","r",stdin);
	// freopen("sequence.out","w",stdout);
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> n;
	for(ll i=1;i<=n;i++)
	{
		cin >> x[i] >> r[i];
	}
	for(ll i=1;i<=n;i++)
	{
		double res=r[i];
		while(!st.empty() and st.top().second<=res)
		{
			res=min(res,cal(st.top().second,st.top().first,x[i]));
			st.pop();
		}
		if(st.empty())
		{
			ans[i]=res;
		}
		else
		{
			ans[i]=min(res,cal(st.top().second,st.top().first,x[i]));
		}
		st.push({x[i],ans[i]});
	}
	for(ll i=1;i<=n;i++)
	{
		cout << setprecision(3) << fixed << ans[i] << '\n';
	}
}
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