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Submission #658592

# Submission time Handle Problem Language Result Execution time Memory
658592 2022-11-13T15:38:32 Z finn__ Mobile (BOI12_mobile) C++17
70 / 100
 1000 ms 43868 KB 
#include <bits/stdc++.h>
using namespace std;

int main()
{
    size_t n;
    long double l;
    cin >> n >> l;

    vector<complex<long double>> p;
    for (size_t i = 0; i < n; i++)
    {
        long double x, y;
        cin >> x >> y;
        p.push_back({x, y});
    }

    long double a = 0.0, b = 1e15;
    while (b - a > 1e-8)
    {
        long double r = (a + b) / 2, covered_until = 0.0;

        for (size_t i = 0; i < n; i++)
        {
            if (abs(p[i].imag()) <= r)
            {
                long double delta_x = sqrt(r * r - p[i].imag() * p[i].imag());
                if (p[i].real() - delta_x <= covered_until)
                    covered_until = max(covered_until, p[i].real() + delta_x);
            }
        }

        if (covered_until >= l)
            b = r;
        else
            a = r;
    }

    cout << fixed << setprecision(10) << a << '\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 468 KB Output is correct
2 Correct 5 ms 448 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 5 ms 468 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 596 KB Output is correct
2 Correct 8 ms 684 KB Output is correct
3 Correct 6 ms 724 KB Output is correct
4 Correct 7 ms 724 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 596 KB Output is correct
2 Correct 9 ms 688 KB Output is correct
3 Correct 9 ms 724 KB Output is correct
4 Correct 10 ms 696 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 596 KB Output is correct
2 Correct 10 ms 720 KB Output is correct
3 Correct 8 ms 724 KB Output is correct
4 Correct 8 ms 736 KB Output is correct
5 Correct 6 ms 724 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 132 ms 4576 KB Output is correct
2 Correct 128 ms 5644 KB Output is correct
3 Correct 69 ms 3032 KB Output is correct
4 Correct 100 ms 5708 KB Output is correct
5 Correct 53 ms 2752 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 4516 KB Output is correct
2 Correct 92 ms 5308 KB Output is correct
3 Correct 106 ms 5476 KB Output is correct
4 Correct 106 ms 5636 KB Output is correct
5 Correct 121 ms 5780 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 117 ms 4512 KB Output is correct
2 Correct 117 ms 4432 KB Output is correct
3 Correct 112 ms 5512 KB Output is correct
4 Correct 148 ms 6004 KB Output is correct
5 Correct 107 ms 5316 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 153 ms 4536 KB Output is correct
2 Correct 149 ms 5736 KB Output is correct
3 Correct 133 ms 5408 KB Output is correct
4 Correct 169 ms 5976 KB Output is correct
5 Correct 126 ms 5488 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 148 ms 4524 KB Output is correct
2 Correct 173 ms 4432 KB Output is correct
3 Correct 139 ms 5312 KB Output is correct
4 Correct 149 ms 5964 KB Output is correct
5 Correct 129 ms 5468 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 644 ms 16772 KB Output is correct
2 Correct 756 ms 16792 KB Output is correct
3 Correct 758 ms 23272 KB Output is correct
4 Correct 763 ms 25672 KB Output is correct
5 Correct 650 ms 22900 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 767 ms 16832 KB Output is correct
2 Correct 808 ms 22704 KB Output is correct
3 Correct 647 ms 21824 KB Output is correct
4 Correct 887 ms 25452 KB Output is correct
5 Correct 683 ms 23556 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 842 ms 33280 KB Output is correct
2 Correct 924 ms 33292 KB Output is correct
3 Correct 895 ms 40968 KB Output is correct
4 Correct 966 ms 43868 KB Output is correct
5 Correct 774 ms 40412 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 922 ms 33188 KB Output is correct
2 Correct 926 ms 40344 KB Output is correct
3 Correct 816 ms 39520 KB Output is correct
4 Correct 954 ms 43764 KB Output is correct
5 Correct 793 ms 41068 KB Output is correct

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 909 ms 33304 KB Output is correct
2 Execution timed out 1073 ms 33216 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1090 ms 33256 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1016 ms 33300 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1085 ms 33268 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1084 ms 33264 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1085 ms 33228 KB Time limit exceeded
2 Halted 0 ms 0 KB -