oj.uz

Submission #623100

# Submission time Handle Problem Language Result Execution time Memory
623100 2022-08-05T07:39:23 Z 54skyxenon Mobile (BOI12_mobile) C++17
100 / 100
 642 ms 16036 KB 
// https://oj.uz/problem/view/BOI12_mobile

#include <bits/stdc++.h>
using namespace std;

#define EPS 0.001
#define maxN 1000000

int n, l;
double X[maxN];
double Y[maxN];

bool ok(double radius) {
    double range = 0;
    
    for (int i = 0; i < n; i++) {
        double term = (radius * radius) - (Y[i] * Y[i]);

        if (term >= 0) {
            double term_sqrt = sqrt(term);
            double range_l = X[i] - term_sqrt;
            double range_r = X[i] + term_sqrt;
            
            if (range_l <= range) {
                range = max<double>(range, range_r);
            }
        }

        if (range >= l) {
            return false;
        }
    }
        
    return true;
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin >> n >> l;
    for (int i = 0; i < n; i++) {
        cin >> X[i] >> Y[i];
    }

    double lo = 0, hi = l;

    while (lo + EPS < hi) {
        double mid = (lo + hi) / 2;

        if (!ok(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 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 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 0 ms 212 KB Output is correct

Subtask #3
4.0 / 4.0

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

Subtask #4
4.0 / 4.0

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

Subtask #5
4.0 / 4.0

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

Subtask #6
5.0 / 5.0

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

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 1448 KB Output is correct
2 Correct 42 ms 1448 KB Output is correct
3 Correct 25 ms 1100 KB Output is correct
4 Correct 48 ms 1380 KB Output is correct
5 Correct 19 ms 1080 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 1532 KB Output is correct
2 Correct 33 ms 1492 KB Output is correct
3 Correct 38 ms 1532 KB Output is correct
4 Correct 41 ms 1520 KB Output is correct
5 Correct 50 ms 1584 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 1684 KB Output is correct
2 Correct 43 ms 1548 KB Output is correct
3 Correct 38 ms 1524 KB Output is correct
4 Correct 60 ms 1776 KB Output is correct
5 Correct 40 ms 1752 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 1848 KB Output is correct
2 Correct 51 ms 1800 KB Output is correct
3 Correct 43 ms 1880 KB Output is correct
4 Correct 60 ms 1840 KB Output is correct
5 Correct 47 ms 1904 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 1836 KB Output is correct
2 Correct 55 ms 1828 KB Output is correct
3 Correct 42 ms 1864 KB Output is correct
4 Correct 60 ms 1772 KB Output is correct
5 Correct 51 ms 1792 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 247 ms 8208 KB Output is correct
2 Correct 259 ms 8096 KB Output is correct
3 Correct 255 ms 8100 KB Output is correct
4 Correct 300 ms 8216 KB Output is correct
5 Correct 239 ms 8172 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 289 ms 8084 KB Output is correct
2 Correct 324 ms 8140 KB Output is correct
3 Correct 216 ms 8140 KB Output is correct
4 Correct 282 ms 8204 KB Output is correct
5 Correct 247 ms 8144 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 289 ms 9712 KB Output is correct
2 Correct 337 ms 9924 KB Output is correct
3 Correct 316 ms 9720 KB Output is correct
4 Correct 367 ms 9608 KB Output is correct
5 Correct 312 ms 9600 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 371 ms 9644 KB Output is correct
2 Correct 360 ms 9712 KB Output is correct
3 Correct 267 ms 9688 KB Output is correct
4 Correct 347 ms 9676 KB Output is correct
5 Correct 292 ms 9716 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 360 ms 11276 KB Output is correct
2 Correct 387 ms 11180 KB Output is correct
3 Correct 368 ms 11188 KB Output is correct
4 Correct 420 ms 11248 KB Output is correct
5 Correct 333 ms 11288 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 403 ms 11272 KB Output is correct
2 Correct 430 ms 11396 KB Output is correct
3 Correct 313 ms 11232 KB Output is correct
4 Correct 414 ms 11236 KB Output is correct
5 Correct 340 ms 11184 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 393 ms 12852 KB Output is correct
2 Correct 456 ms 12772 KB Output is correct
3 Correct 436 ms 12768 KB Output is correct
4 Correct 478 ms 12956 KB Output is correct
5 Correct 437 ms 12832 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 463 ms 12900 KB Output is correct
2 Correct 480 ms 12836 KB Output is correct
3 Correct 383 ms 12876 KB Output is correct
4 Correct 465 ms 12768 KB Output is correct
5 Correct 430 ms 12832 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 502 ms 16036 KB Output is correct
2 Correct 618 ms 15900 KB Output is correct
3 Correct 531 ms 15956 KB Output is correct
4 Correct 603 ms 15868 KB Output is correct
5 Correct 504 ms 15948 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 642 ms 15936 KB Output is correct
2 Correct 621 ms 15896 KB Output is correct
3 Correct 481 ms 16032 KB Output is correct
4 Correct 590 ms 15832 KB Output is correct
5 Correct 508 ms 15976 KB Output is correct