Submission #1222935

#TimeUsernameProblemLanguageResultExecution timeMemory
1222935iamhereforfunBalloons (CEOI11_bal)C++20
20 / 100
113 ms8276 KiB
// IamHereForFun //

#include <bits/stdc++.h>

using namespace std;

#define LSOne(X) ((X) & -(X))

const int N = 2e5 + 5;
const int M = 15;
const int C = 26;
const int LG = 20;
const int R = 25e3 + 5;
const int B = 100;
const int O = 3e5 + 5;
const int INF = 1e9 + 5;
const int MOD = 998244353;
const int nx[] = {0, 1, 0, -1}, ny[] = {1, 0, -1, 0};

int n;
long double rad[N], d[N];
vector<pair<long double, int>> stk; // rad, id

long double val(long double x, pair<long double, int> p)
{
    int id = p.second;
    return (x - d[id])*(x - d[id])/4/p.first;
}

void solve()
{
    cin >> n;
    for (int x = 0; x < n; x++)
    {
        long double c, r;
        cin >> c >> r;
        d[x] = c;
        while(stk.size() > 1)
        {
            if(val(c, stk[stk.size() - 2]) < val(c, stk[stk.size() - 1])) stk.pop_back();
            else break;
        }
        if(stk.empty())
        {
            rad[x] = r;
            stk.push_back({rad[x], x});
        }
        else
        {
            rad[x] = min(val(c, stk.back()), r);
            // cout << stk.back().first << " " << stk.back().second << " " << x << "\n";
            while(!stk.empty())
            {
                if(stk.back().first < rad[x]) stk.pop_back();
                else break;
            }
            stk.push_back({rad[x], x});
        }
    }
    for (int x = 0; x < n; x++)
    {
        cout << fixed << setprecision(3) << rad[x] << "\n";
    }
}

signed main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int t = 1;
    // cin >> t;
    for (int x = 1; x <= t; x++)
    {
        solve();
    }
    return 0;
}
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