Submission #623101

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
623101	2022-08-05T07:41:35 Z	54skyxenon	Mobile (BOI12_mobile)	C++17	100 / 100	595 ms	16072 KB

mobile

// 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(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	Memory	Grader output
1	Correct	212 KB	Output is correct
2	Correct	212 KB	Output is correct
3	Correct	212 KB	Output is correct
4	Correct	212 KB	Output is correct

Subtask #2
4.0 / 4.0

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

Subtask #3
4.0 / 4.0

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

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	39 ms	1492 KB	Output is correct
2	Correct	41 ms	1432 KB	Output is correct
3	Correct	24 ms	1108 KB	Output is correct
4	Correct	40 ms	1496 KB	Output is correct
5	Correct	22 ms	1108 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	32 ms	1520 KB	Output is correct
2	Correct	34 ms	1468 KB	Output is correct
3	Correct	38 ms	1564 KB	Output is correct
4	Correct	41 ms	1544 KB	Output is correct
5	Correct	48 ms	1564 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	38 ms	1588 KB	Output is correct
2	Correct	43 ms	1612 KB	Output is correct
3	Correct	37 ms	1560 KB	Output is correct
4	Correct	60 ms	1824 KB	Output is correct
5	Correct	38 ms	1700 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	58 ms	1868 KB	Output is correct
2	Correct	51 ms	1816 KB	Output is correct
3	Correct	44 ms	1884 KB	Output is correct
4	Correct	69 ms	1872 KB	Output is correct
5	Correct	49 ms	1868 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	58 ms	1824 KB	Output is correct
2	Correct	52 ms	1868 KB	Output is correct
3	Correct	44 ms	1868 KB	Output is correct
4	Correct	62 ms	1804 KB	Output is correct
5	Correct	49 ms	1880 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	237 ms	8144 KB	Output is correct
2	Correct	281 ms	8188 KB	Output is correct
3	Correct	253 ms	8060 KB	Output is correct
4	Correct	296 ms	8040 KB	Output is correct
5	Correct	237 ms	8072 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	293 ms	8072 KB	Output is correct
2	Correct	305 ms	8144 KB	Output is correct
3	Correct	221 ms	8136 KB	Output is correct
4	Correct	284 ms	8088 KB	Output is correct
5	Correct	257 ms	8144 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	286 ms	9712 KB	Output is correct
2	Correct	336 ms	9660 KB	Output is correct
3	Correct	316 ms	9692 KB	Output is correct
4	Correct	359 ms	9704 KB	Output is correct
5	Correct	288 ms	9628 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	352 ms	9612 KB	Output is correct
2	Correct	361 ms	9604 KB	Output is correct
3	Correct	272 ms	9656 KB	Output is correct
4	Correct	346 ms	9608 KB	Output is correct
5	Correct	293 ms	9648 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	331 ms	11280 KB	Output is correct
2	Correct	373 ms	11280 KB	Output is correct
3	Correct	361 ms	11324 KB	Output is correct
4	Correct	409 ms	11360 KB	Output is correct
5	Correct	352 ms	11180 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	391 ms	11268 KB	Output is correct
2	Correct	422 ms	11372 KB	Output is correct
3	Correct	312 ms	11156 KB	Output is correct
4	Correct	399 ms	11340 KB	Output is correct
5	Correct	348 ms	11180 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	390 ms	12836 KB	Output is correct
2	Correct	424 ms	12892 KB	Output is correct
3	Correct	430 ms	12748 KB	Output is correct
4	Correct	477 ms	12732 KB	Output is correct
5	Correct	394 ms	12748 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	466 ms	12800 KB	Output is correct
2	Correct	490 ms	12748 KB	Output is correct
3	Correct	354 ms	12908 KB	Output is correct
4	Correct	477 ms	12956 KB	Output is correct
5	Correct	388 ms	12832 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	473 ms	15948 KB	Output is correct
2	Correct	542 ms	15956 KB	Output is correct
3	Correct	525 ms	15924 KB	Output is correct
4	Correct	595 ms	15872 KB	Output is correct
5	Correct	480 ms	15932 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	573 ms	16056 KB	Output is correct
2	Correct	580 ms	15960 KB	Output is correct
3	Correct	482 ms	15884 KB	Output is correct
4	Correct	587 ms	16072 KB	Output is correct
5	Correct	512 ms	15836 KB	Output is correct

Submission #623101

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