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Submission #432331

# Submission time Handle Problem Language Result Execution time Memory
432331 2021-06-18T08:09:12 Z four_specks Mobile (BOI12_mobile) C++17
100 / 100
 812 ms 44100 KB 
#include <bits/stdc++.h>

using namespace std;

void solve()
{
    struct point
    {
        long x, y;
    };

    int n;
    long l;
    cin >> n >> l;

    vector<point> coords(n);
    for (int i = 0; i < n; i++)
        cin >> coords[i].x >> coords[i].y;

    auto valid = [&](const double &d) -> bool
    {
        vector<pair<double, double>> cov;
        cov.reserve(2 * n);
        for (auto [x, y] : coords)
        {
            if (y * y < d * d)
            {
                double h = sqrt(d * d - y * y);
                while (!cov.empty() && cov.back().first > x - h)
                    cov.pop_back();
                cov.emplace_back(x - h, x + h);
            }
        }
        // sort(cov.begin(), cov.end());

        bool ended = 0;
        double e = 0.0;
        for (auto [x1, x2] : cov)
        {
            if (x1 <= e)
            {
                e = max(e, x2);
                if (e >= l)
                {
                    ended = 1;
                    break;
                }
            }
            else
                break;
        }

        return ended;
    };

    double ans = 3e9;
    for (double lo = 0.5; ans - lo > 1e-5;)
    {
        if (double mid = (lo + ans) / 2.0; valid(mid))
            ans = mid;
        else
            lo = mid + 1e-4;
    }

    cout << fixed << setprecision(5) << ans << '\n';
}

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

    solve();

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 332 KB Output is correct
2 Correct 2 ms 332 KB Output is correct
3 Correct 2 ms 332 KB Output is correct
4 Correct 2 ms 332 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 400 KB Output is correct
2 Correct 3 ms 460 KB Output is correct
3 Correct 3 ms 484 KB Output is correct
4 Correct 4 ms 460 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 460 KB Output is correct
2 Correct 4 ms 460 KB Output is correct
3 Correct 3 ms 460 KB Output is correct
4 Correct 4 ms 460 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 460 KB Output is correct
2 Correct 3 ms 460 KB Output is correct
3 Correct 3 ms 460 KB Output is correct
4 Correct 3 ms 460 KB Output is correct
5 Correct 4 ms 412 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 2656 KB Output is correct
2 Correct 61 ms 2508 KB Output is correct
3 Correct 33 ms 1996 KB Output is correct
4 Correct 50 ms 1884 KB Output is correct
5 Correct 26 ms 1488 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 2124 KB Output is correct
2 Correct 46 ms 2200 KB Output is correct
3 Correct 53 ms 2636 KB Output is correct
4 Correct 46 ms 1996 KB Output is correct
5 Correct 47 ms 1868 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 3012 KB Output is correct
2 Correct 60 ms 2632 KB Output is correct
3 Correct 45 ms 2924 KB Output is correct
4 Correct 46 ms 1900 KB Output is correct
5 Correct 58 ms 2488 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 2840 KB Output is correct
2 Correct 76 ms 2888 KB Output is correct
3 Correct 62 ms 3428 KB Output is correct
4 Correct 50 ms 1900 KB Output is correct
5 Correct 69 ms 3144 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 3424 KB Output is correct
2 Correct 67 ms 2912 KB Output is correct
3 Correct 64 ms 3424 KB Output is correct
4 Correct 48 ms 1880 KB Output is correct
5 Correct 64 ms 3040 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 334 ms 15940 KB Output is correct
2 Correct 372 ms 8912 KB Output is correct
3 Correct 347 ms 8904 KB Output is correct
4 Correct 286 ms 8432 KB Output is correct
5 Correct 330 ms 18244 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 360 ms 8908 KB Output is correct
2 Correct 418 ms 15956 KB Output is correct
3 Correct 286 ms 15960 KB Output is correct
4 Correct 280 ms 17860 KB Output is correct
5 Correct 304 ms 17348 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 405 ms 19088 KB Output is correct
2 Correct 423 ms 19808 KB Output is correct
3 Correct 404 ms 19256 KB Output is correct
4 Correct 302 ms 21896 KB Output is correct
5 Correct 399 ms 21724 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 450 ms 10468 KB Output is correct
2 Correct 483 ms 19056 KB Output is correct
3 Correct 337 ms 25924 KB Output is correct
4 Correct 299 ms 21732 KB Output is correct
5 Correct 375 ms 20676 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 472 ms 22280 KB Output is correct
2 Correct 506 ms 22920 KB Output is correct
3 Correct 513 ms 22272 KB Output is correct
4 Correct 349 ms 25212 KB Output is correct
5 Correct 495 ms 25212 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 472 ms 12028 KB Output is correct
2 Correct 574 ms 22224 KB Output is correct
3 Correct 390 ms 22192 KB Output is correct
4 Correct 337 ms 11648 KB Output is correct
5 Correct 449 ms 23964 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 537 ms 25288 KB Output is correct
2 Correct 583 ms 26020 KB Output is correct
3 Correct 526 ms 25240 KB Output is correct
4 Correct 400 ms 28876 KB Output is correct
5 Correct 526 ms 27912 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 537 ms 13600 KB Output is correct
2 Correct 621 ms 25328 KB Output is correct
3 Correct 482 ms 25296 KB Output is correct
4 Correct 442 ms 13212 KB Output is correct
5 Correct 516 ms 15648 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 662 ms 31592 KB Output is correct
2 Correct 689 ms 32348 KB Output is correct
3 Correct 681 ms 31332 KB Output is correct
4 Correct 520 ms 35684 KB Output is correct
5 Correct 657 ms 34780 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 686 ms 16732 KB Output is correct
2 Correct 812 ms 31580 KB Output is correct
3 Correct 591 ms 44100 KB Output is correct
4 Correct 499 ms 35912 KB Output is correct
5 Correct 607 ms 33776 KB Output is correct