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Submission #903924

# Submission time Handle Problem Language Result Execution time Memory
903924 2024-01-11T14:42:01 Z tz74 Mobile (BOI12_mobile) C++17
100 / 100
 777 ms 36112 KB 
#include <iostream>
#include <vector>
#include <iomanip>
#include <ctgmath>

using namespace std;

using i64 = long long;
using f64 = double;

i64 N;
f64 L;
vector<pair<i64, i64> > towers;

f64 sq(f64 in) {
    return in * in;
}

bool contiguous(f64 R) {
    f64 rightmost = 0;

    for (int i = 0; i < N; i++) {
        f64 x = towers[i].first;
        f64 y = towers[i].second;
        f64 d = sq(2.0 * x) - 4.0 * (sq(x) + sq(y) - sq(R));

        if (d > 0) {
            f64 x1 = (2.0 * x - sqrt(d)) / 2;
            f64 x2 = (2.0 * x + sqrt(d)) / 2;

            // printf("i: %d, x1: %lf, x2: %lf\n", i, x1, x2);

            if (x1 < rightmost) {
                rightmost = max(rightmost, x2);
            }
        }
    }

    // printf("leftmost: %lf, rightmost: %lf\n", leftmost, rightmost);
    return rightmost >= L;
}

int main(void) {
    cin >> N >> L;
    for (int i = 0; i < N; i++) {
        pair<i64, i64> p;
        cin >> p.first >> p.second;
        towers.push_back(p);
    }

    // printf("contiguous: %d\n", contiguous(7.8102));
    // return 0;

    f64 lo = 1.0;
    f64 hi = 1.5e9;

    while (hi - lo > 1e-4) {
        f64 mid = (hi + lo) / 2;

        // we want the largest value where it's not contiguous
        if (contiguous(mid)) {
            hi = mid;
        } else {
            lo = mid;
        }
    }

    cout << fixed << setprecision(4) << lo << endl;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 1 ms 360 KB Output is correct
4 Correct 1 ms 356 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 360 KB Output is correct
2 Correct 0 ms 360 KB Output is correct
3 Correct 0 ms 360 KB Output is correct
4 Correct 1 ms 360 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 360 KB Output is correct
2 Correct 2 ms 344 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 3 ms 348 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 600 KB Output is correct
2 Correct 4 ms 608 KB Output is correct
3 Correct 3 ms 604 KB Output is correct
4 Correct 4 ms 604 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 616 KB Output is correct
2 Correct 5 ms 616 KB Output is correct
3 Correct 3 ms 616 KB Output is correct
4 Correct 5 ms 720 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 616 KB Output is correct
2 Correct 5 ms 772 KB Output is correct
3 Correct 3 ms 616 KB Output is correct
4 Correct 5 ms 616 KB Output is correct
5 Correct 3 ms 600 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 2508 KB Output is correct
2 Correct 52 ms 2500 KB Output is correct
3 Correct 30 ms 2000 KB Output is correct
4 Correct 46 ms 3532 KB Output is correct
5 Correct 32 ms 1808 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 2508 KB Output is correct
2 Correct 51 ms 2500 KB Output is correct
3 Correct 61 ms 2496 KB Output is correct
4 Correct 49 ms 3668 KB Output is correct
5 Correct 82 ms 3880 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 2508 KB Output is correct
2 Correct 63 ms 2424 KB Output is correct
3 Correct 48 ms 3388 KB Output is correct
4 Correct 80 ms 4008 KB Output is correct
5 Correct 54 ms 3280 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 2528 KB Output is correct
2 Correct 64 ms 3532 KB Output is correct
3 Correct 75 ms 3268 KB Output is correct
4 Correct 70 ms 4024 KB Output is correct
5 Correct 74 ms 3568 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 3176 KB Output is correct
2 Correct 62 ms 3740 KB Output is correct
3 Correct 58 ms 3476 KB Output is correct
4 Correct 76 ms 4060 KB Output is correct
5 Correct 56 ms 3472 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 278 ms 10932 KB Output is correct
2 Correct 312 ms 16044 KB Output is correct
3 Correct 336 ms 15620 KB Output is correct
4 Correct 332 ms 17924 KB Output is correct
5 Correct 297 ms 15024 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 330 ms 13472 KB Output is correct
2 Correct 411 ms 15340 KB Output is correct
3 Correct 291 ms 13912 KB Output is correct
4 Correct 320 ms 17488 KB Output is correct
5 Correct 326 ms 15500 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 312 ms 20312 KB Output is correct
2 Correct 391 ms 25456 KB Output is correct
3 Correct 398 ms 25248 KB Output is correct
4 Correct 462 ms 27588 KB Output is correct
5 Correct 338 ms 25264 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 438 ms 23032 KB Output is correct
2 Correct 498 ms 24924 KB Output is correct
3 Correct 327 ms 23464 KB Output is correct
4 Correct 406 ms 27600 KB Output is correct
5 Correct 375 ms 26528 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 367 ms 19848 KB Output is correct
2 Correct 483 ms 27088 KB Output is correct
3 Correct 458 ms 26028 KB Output is correct
4 Correct 495 ms 28556 KB Output is correct
5 Correct 389 ms 25040 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 492 ms 24236 KB Output is correct
2 Correct 576 ms 24048 KB Output is correct
3 Correct 397 ms 23924 KB Output is correct
4 Correct 477 ms 27916 KB Output is correct
5 Correct 404 ms 25132 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 420 ms 22788 KB Output is correct
2 Correct 550 ms 26944 KB Output is correct
3 Correct 516 ms 25008 KB Output is correct
4 Correct 558 ms 30344 KB Output is correct
5 Correct 495 ms 24956 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 511 ms 26336 KB Output is correct
2 Correct 609 ms 25048 KB Output is correct
3 Correct 470 ms 24236 KB Output is correct
4 Correct 533 ms 30440 KB Output is correct
5 Correct 487 ms 26112 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 565 ms 24440 KB Output is correct
2 Correct 650 ms 31768 KB Output is correct
3 Correct 631 ms 30784 KB Output is correct
4 Correct 675 ms 35280 KB Output is correct
5 Correct 559 ms 29864 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 723 ms 31236 KB Output is correct
2 Correct 777 ms 29436 KB Output is correct
3 Correct 627 ms 28608 KB Output is correct
4 Correct 648 ms 36112 KB Output is correct
5 Correct 578 ms 30884 KB Output is correct