Submission #590221

#TimeUsernameProblemLanguageResultExecution timeMemory
590221MinhhoBalloons (CEOI11_bal)C++17
10 / 100
196 ms8520 KiB
#define taskname "1"
#include<bits/stdc++.h>
#define db double
#define ii pair<db, int>
#define ff first
#define ss second

using namespace std;
const int maxn = 2e5 + 10;
const db eps = 1e-9;
int n;
db ans[maxn], x[maxn], r[maxn];

bool check(int i, int j)
{
    db minlen = (ans[i] * ans[i] + ((x[j]-x[i]) * (x[j]-x[i]) / 4.0))/ans[i] - ans[i];
    return min(r[j], minlen) >= ans[i];
}

db cal(int i, int j)
{
    db minlen = (ans[i] * ans[i] + ((x[j]-x[i]) * (x[j]-x[i]) / 4.0))/ans[i] - ans[i];
    return min(r[j], minlen);
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr); cout.tie(nullptr);
    cin>>n;
    stack<int> st;
    for (int i=1; i<=n; i++)
    {
        cin>>x[i]>>r[i];
        while (!st.empty() && check(st.top(), i)) st.pop();
        ans[i] = st.empty() ? (db)r[i] : cal(st.top(), i);
        st.emplace(i);
    }
    for (int i=1; i<=n; i++) cout<<setprecision(3)<<fixed<<ans[i]<<"\n";
}
/**
3
0 9
8 1
13 7
**/
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