Submission #550699

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
550699	2022-04-18T21:06:25 Z	FromDihPout	Mobile (BOI12_mobile)	C++17	8 / 100	1000 ms	55084 KB

mobile

/**
 *    author:  FromDihPout
 *    created: 2022-04-18
**/
 
#include <bits/stdc++.h>
using namespace std;

const double EPSILON = 1e-5;

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

    int n, l;
    cin >> n >> l;
    vector<array<int, 2>> p(n);
    for (int i = 0; i < n; i++) {
        cin >> p[i][0] >> p[i][1];
    }

    auto check = [&](double r) {
        vector<pair<double, double>> intervals(n);
        for (int i = 0; i < n; i++) {
            if (p[i][1] >= r) continue;
            double length = sqrt((r * r) - (p[i][1] * p[i][1]));
            intervals.emplace_back(p[i][0] - length, p[i][0] + length);
        }
        sort(intervals.begin(), intervals.end());

        double end = 0.0;
        for (auto [l, r] : intervals) {
            if (l > end) {
                return false;
            }
            end = max(end, r);
        }
        return end >= l;
    };

    double lo = 0, hi = 1e10;
    while (hi - lo > EPSILON) {
        double mid = (lo + hi) / 2;
        if (check(mid)) {
            hi = mid;
        } else {
            lo = mid;
        }
    }
    cout << fixed << setprecision(5) << lo << '\n';
    return 0;
}

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	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	320 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	212 KB	Output is correct

Subtask #3
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	340 KB	Output is correct
2	Correct	6 ms	400 KB	Output is correct
3	Correct	6 ms	340 KB	Output is correct
4	Incorrect	8 ms	448 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #4
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	16 ms	604 KB	Output is correct
2	Correct	17 ms	664 KB	Output is correct
3	Correct	15 ms	636 KB	Output is correct
4	Incorrect	16 ms	660 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #5
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	17 ms	604 KB	Output is correct
2	Correct	15 ms	760 KB	Output is correct
3	Correct	18 ms	636 KB	Output is correct
4	Incorrect	17 ms	660 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #6
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	16 ms	600 KB	Output is correct
2	Correct	15 ms	668 KB	Output is correct
3	Correct	16 ms	788 KB	Output is correct
4	Incorrect	16 ms	684 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #7
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	218 ms	4332 KB	Output is correct
2	Incorrect	311 ms	5468 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #8
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	265 ms	4576 KB	Output is correct
2	Correct	249 ms	4964 KB	Output is correct
3	Incorrect	320 ms	5708 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #9
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	414 ms	5048 KB	Output is correct
2	Incorrect	331 ms	5944 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #10
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	359 ms	5720 KB	Output is correct
2	Incorrect	456 ms	7140 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #11
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	365 ms	5748 KB	Output is correct
2	Incorrect	435 ms	7140 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #12
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1093 ms	27652 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #13
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1076 ms	27636 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #14
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1089 ms	33244 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #15
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1098 ms	33204 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #16
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1087 ms	38640 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #17
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1088 ms	38628 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1088 ms	44192 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #19
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1094 ms	44128 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1100 ms	55084 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #21
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1059 ms	54996 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Submission #550699

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