Submission #623089

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
623089	2022-08-05T07:15:34 Z	54skyxenon	Mobile (BOI12_mobile)	C++17	100 / 100	601 ms	16076 KB

mobile

// https://oj.uz/problem/view/BOI12_mobile

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

#define EPS 0.001

int n, l;
vector<double> X, Y;

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;

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

    double lo = 0.0;
    double 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	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	0 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	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 #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	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	43 ms	1492 KB	Output is correct
2	Correct	42 ms	1476 KB	Output is correct
3	Correct	23 ms	1108 KB	Output is correct
4	Correct	39 ms	1492 KB	Output is correct
5	Correct	18 ms	1108 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	31 ms	1536 KB	Output is correct
2	Correct	31 ms	1416 KB	Output is correct
3	Correct	41 ms	1492 KB	Output is correct
4	Correct	42 ms	1492 KB	Output is correct
5	Correct	60 ms	1620 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	49 ms	1620 KB	Output is correct
2	Correct	47 ms	1620 KB	Output is correct
3	Correct	37 ms	1620 KB	Output is correct
4	Correct	66 ms	1880 KB	Output is correct
5	Correct	36 ms	1620 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	59 ms	1880 KB	Output is correct
2	Correct	64 ms	1876 KB	Output is correct
3	Correct	50 ms	1876 KB	Output is correct
4	Correct	62 ms	1876 KB	Output is correct
5	Correct	45 ms	1876 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	58 ms	1884 KB	Output is correct
2	Correct	49 ms	1876 KB	Output is correct
3	Correct	55 ms	1876 KB	Output is correct
4	Correct	66 ms	1888 KB	Output is correct
5	Correct	50 ms	1892 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	236 ms	8148 KB	Output is correct
2	Correct	257 ms	8148 KB	Output is correct
3	Correct	283 ms	8148 KB	Output is correct
4	Correct	287 ms	8148 KB	Output is correct
5	Correct	257 ms	8148 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	281 ms	8268 KB	Output is correct
2	Correct	337 ms	8148 KB	Output is correct
3	Correct	226 ms	8148 KB	Output is correct
4	Correct	298 ms	8148 KB	Output is correct
5	Correct	256 ms	8148 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	289 ms	9708 KB	Output is correct
2	Correct	315 ms	9708 KB	Output is correct
3	Correct	313 ms	9712 KB	Output is correct
4	Correct	356 ms	9684 KB	Output is correct
5	Correct	306 ms	9704 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	380 ms	9712 KB	Output is correct
2	Correct	401 ms	9708 KB	Output is correct
3	Correct	257 ms	9704 KB	Output is correct
4	Correct	368 ms	9700 KB	Output is correct
5	Correct	304 ms	9712 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	342 ms	11276 KB	Output is correct
2	Correct	377 ms	11284 KB	Output is correct
3	Correct	371 ms	11276 KB	Output is correct
4	Correct	417 ms	11276 KB	Output is correct
5	Correct	343 ms	11276 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	406 ms	11276 KB	Output is correct
2	Correct	456 ms	11276 KB	Output is correct
3	Correct	310 ms	11280 KB	Output is correct
4	Correct	431 ms	11276 KB	Output is correct
5	Correct	340 ms	11276 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	392 ms	12840 KB	Output is correct
2	Correct	421 ms	12756 KB	Output is correct
3	Correct	413 ms	12836 KB	Output is correct
4	Correct	488 ms	12836 KB	Output is correct
5	Correct	390 ms	12840 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	446 ms	12836 KB	Output is correct
2	Correct	483 ms	12880 KB	Output is correct
3	Correct	345 ms	12836 KB	Output is correct
4	Correct	476 ms	12844 KB	Output is correct
5	Correct	420 ms	12836 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	523 ms	15972 KB	Output is correct
2	Correct	553 ms	16076 KB	Output is correct
3	Correct	513 ms	15972 KB	Output is correct
4	Correct	580 ms	15976 KB	Output is correct
5	Correct	503 ms	15976 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	594 ms	15976 KB	Output is correct
2	Correct	590 ms	15976 KB	Output is correct
3	Correct	466 ms	15976 KB	Output is correct
4	Correct	601 ms	16076 KB	Output is correct
5	Correct	502 ms	15976 KB	Output is correct

Submission #623089

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