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Submission #732533

# Submission time Handle Problem Language Result Execution time Memory
732533 2023-04-29T05:28:52 Z uy842003 Mobile (BOI12_mobile) C++17
80 / 100
 1000 ms 15912 KB 
#include <bits/stdc++.h>
using namespace std;
 
const double eps = 1e-4;
pair<double, double> cor[1000001];
 
int main() {
 
    int n;
    double len;
    cin >> n >> len;
    for (int i = 0; i < n; i++)
        cin >> cor[i].first >> cor[i].second;
    double l = 0, r = 4e9 + 1, m;
    while (r - l > eps) {
        m = (l + r) / 2;
        double cur_pos = 0;
        for (int i = 0; i < n; i++) {
            if (m < abs(cor[i].second) + eps) continue;
            double dx = sqrt(m * m - cor[i].second * cor[i].second);
            if (cor[i].first - dx < cur_pos + eps) cur_pos = max(cur_pos, cor[i].first + dx);
        }
        if (len < cur_pos + eps)
            r = m;
        else
            l = m + eps;
    }
    cout << setprecision(3) << fixed << r << endl;
 
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 312 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 #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 308 KB Output is correct
3 Correct 1 ms 308 KB Output is correct
4 Correct 1 ms 216 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 340 KB Output is correct
2 Correct 4 ms 340 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 4 ms 316 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 340 KB Output is correct
2 Correct 6 ms 388 KB Output is correct
3 Correct 5 ms 340 KB Output is correct
4 Correct 6 ms 340 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 340 KB Output is correct
2 Correct 6 ms 340 KB Output is correct
3 Correct 5 ms 340 KB Output is correct
4 Correct 7 ms 340 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 340 KB Output is correct
2 Correct 6 ms 340 KB Output is correct
3 Correct 5 ms 340 KB Output is correct
4 Correct 7 ms 340 KB Output is correct
5 Correct 5 ms 340 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 2184 KB Output is correct
2 Correct 93 ms 2544 KB Output is correct
3 Correct 53 ms 1688 KB Output is correct
4 Correct 88 ms 2560 KB Output is correct
5 Correct 42 ms 1460 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 2208 KB Output is correct
2 Correct 76 ms 2200 KB Output is correct
3 Correct 86 ms 2492 KB Output is correct
4 Correct 91 ms 2692 KB Output is correct
5 Correct 112 ms 2916 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 91 ms 2456 KB Output is correct
2 Correct 102 ms 2648 KB Output is correct
3 Correct 82 ms 2556 KB Output is correct
4 Correct 134 ms 3020 KB Output is correct
5 Correct 92 ms 2492 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 122 ms 3076 KB Output is correct
2 Correct 117 ms 3032 KB Output is correct
3 Correct 96 ms 2804 KB Output is correct
4 Correct 139 ms 3132 KB Output is correct
5 Correct 105 ms 3100 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 148 ms 3128 KB Output is correct
2 Correct 119 ms 3164 KB Output is correct
3 Correct 110 ms 2876 KB Output is correct
4 Correct 150 ms 3012 KB Output is correct
5 Correct 108 ms 3068 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 455 ms 9916 KB Output is correct
2 Correct 593 ms 9556 KB Output is correct
3 Correct 577 ms 9136 KB Output is correct
4 Correct 643 ms 8404 KB Output is correct
5 Correct 557 ms 8040 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 611 ms 8032 KB Output is correct
2 Correct 627 ms 8140 KB Output is correct
3 Correct 496 ms 8180 KB Output is correct
4 Correct 665 ms 8108 KB Output is correct
5 Correct 581 ms 8168 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 523 ms 9680 KB Output is correct
2 Correct 725 ms 9756 KB Output is correct
3 Correct 692 ms 9680 KB Output is correct
4 Correct 813 ms 9564 KB Output is correct
5 Correct 639 ms 9712 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 733 ms 9560 KB Output is correct
2 Correct 755 ms 9736 KB Output is correct
3 Correct 588 ms 9584 KB Output is correct
4 Correct 777 ms 9632 KB Output is correct
5 Correct 663 ms 9680 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 617 ms 11176 KB Output is correct
2 Correct 823 ms 11152 KB Output is correct
3 Correct 839 ms 11136 KB Output is correct
4 Correct 974 ms 11184 KB Output is correct
5 Correct 749 ms 11344 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 877 ms 11244 KB Output is correct
2 Correct 818 ms 11240 KB Output is correct
3 Correct 726 ms 11152 KB Output is correct
4 Correct 933 ms 11228 KB Output is correct
5 Correct 782 ms 11144 KB Output is correct

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 712 ms 12816 KB Output is correct
2 Correct 943 ms 12812 KB Output is correct
3 Correct 897 ms 12852 KB Output is correct
4 Execution timed out 1077 ms 12712 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 978 ms 12816 KB Output is correct
2 Correct 900 ms 13000 KB Output is correct
3 Correct 830 ms 14136 KB Output is correct
4 Execution timed out 1012 ms 13660 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 884 ms 15908 KB Output is correct
2 Execution timed out 1069 ms 15912 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1077 ms 15748 KB Time limit exceeded
2 Halted 0 ms 0 KB -