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Submission #448358

# Submission time Handle Problem Language Result Execution time Memory
448358 2021-07-29T20:05:16 Z four_specks Balloons (CEOI11_bal) C++17
100 / 100
 242 ms 10088 KB 
#include <bits/stdc++.h>

using namespace std;

double dist(const double &x1, const double &y1, const double &x2)
{
    double dx = (x2 - x1);
    return dx * dx / (4 * y1);
}

void solve()
{
    struct elem
    {
        double x, r;
    };

    int n;
    cin >> n;

    vector<elem> a(n);
    for (int i = 0; i < n; i++)
        cin >> a[i].x >> a[i].r;

    vector<double> radii(n);

    stack<int> st;
    for (int i = 0; i < n; i++)
    {
        double sz = a[i].r;
        while (!st.empty())
        {
            int u = st.top();
            sz = min(sz, dist(a[u].x, radii[u], a[i].x));
            if (sz >= radii[u])
                st.pop();
            else
                break;
        }

        st.emplace(i);
        radii[i] = sz;
    }

    cout << fixed << setprecision(3);
    for (int i = 0; i < n; i++)
        cout << radii[i] << '\n';
}

int main()
{
    ios_base::sync_with_stdio(false), cin.tie(NULL);

    solve();

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB 10 numbers

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB 2 numbers

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB 505 numbers

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 332 KB 2000 numbers

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 852 KB 20000 numbers

Subtask #6
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 1916 KB 50000 numbers
2 Correct 60 ms 2740 KB 49912 numbers

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 127 ms 3540 KB 100000 numbers

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 155 ms 4032 KB 115362 numbers
2 Correct 145 ms 6152 KB 119971 numbers

Subtask #9
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 195 ms 5296 KB 154271 numbers
2 Correct 235 ms 10088 KB 200000 numbers

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 242 ms 6596 KB 200000 numbers
2 Correct 234 ms 10076 KB 199945 numbers