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Submission #923724

# Submission time Handle Problem Language Result Execution time Memory
923724 2024-02-07T16:07:58 Z vanea Balloons (CEOI11_bal) C++14
100 / 100
 164 ms 2384 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;

double calc_r(array<double, 2> a, double x) {
    return (a[0] - x) * (a[0] - x) / (4 * a[1]);
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n;
    cin >> n;
    stack<array<double, 2>> s;
    cout << fixed << setprecision(5);
    for(int i = 0; i < n; i++) {
        double x, r;
        cin >> x >> r;
        double mx_r = r;
        while(!s.empty()) {
            auto last = s.top();
            double curr = calc_r(last, x);
            mx_r = min(mx_r, curr);
            if(mx_r >= last[1]) {
                s.pop();
                continue;
            }
            break;
        }
        s.push({x, mx_r});
        cout << mx_r << '\n';
    }
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB 10 numbers

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB 2 numbers

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB 505 numbers

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 348 KB 2000 numbers

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 600 KB 20000 numbers

Subtask #6
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 1104 KB 50000 numbers
2 Correct 39 ms 852 KB 49912 numbers

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 1480 KB 100000 numbers

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 102 ms 1832 KB 115362 numbers
2 Correct 100 ms 1176 KB 119971 numbers

Subtask #9
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 133 ms 2132 KB 154271 numbers
2 Correct 156 ms 2052 KB 200000 numbers

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 164 ms 2384 KB 200000 numbers
2 Correct 152 ms 1876 KB 199945 numbers