Submission #623087

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
623087	2022-08-05T07:14:11 Z	54skyxenon	Mobile (BOI12_mobile)	C++17	100 / 100	608 ms	15980 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 = 1.0;
    double hi = 2e9;

    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	224 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	392 KB	Output is correct
4	Correct	3 ms	284 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	4 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	47 ms	1612 KB	Output is correct
2	Correct	43 ms	1520 KB	Output is correct
3	Correct	26 ms	1108 KB	Output is correct
4	Correct	40 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	34 ms	1492 KB	Output is correct
2	Correct	33 ms	1364 KB	Output is correct
3	Correct	38 ms	1492 KB	Output is correct
4	Correct	43 ms	1548 KB	Output is correct
5	Correct	47 ms	1680 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	38 ms	1620 KB	Output is correct
2	Correct	41 ms	1600 KB	Output is correct
3	Correct	36 ms	1620 KB	Output is correct
4	Correct	61 ms	1876 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	55 ms	1884 KB	Output is correct
2	Correct	51 ms	1888 KB	Output is correct
3	Correct	42 ms	1876 KB	Output is correct
4	Correct	59 ms	1888 KB	Output is correct
5	Correct	50 ms	1888 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	55 ms	1888 KB	Output is correct
2	Correct	52 ms	1876 KB	Output is correct
3	Correct	45 ms	1876 KB	Output is correct
4	Correct	60 ms	1876 KB	Output is correct
5	Correct	48 ms	1880 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	231 ms	8148 KB	Output is correct
2	Correct	276 ms	8160 KB	Output is correct
3	Correct	242 ms	8148 KB	Output is correct
4	Correct	282 ms	8148 KB	Output is correct
5	Correct	244 ms	8148 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	282 ms	8148 KB	Output is correct
2	Correct	308 ms	8148 KB	Output is correct
3	Correct	213 ms	8140 KB	Output is correct
4	Correct	282 ms	8144 KB	Output is correct
5	Correct	248 ms	8148 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	302 ms	9704 KB	Output is correct
2	Correct	316 ms	9716 KB	Output is correct
3	Correct	307 ms	9684 KB	Output is correct
4	Correct	350 ms	9708 KB	Output is correct
5	Correct	293 ms	9704 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	326 ms	9708 KB	Output is correct
2	Correct	384 ms	9708 KB	Output is correct
3	Correct	276 ms	9700 KB	Output is correct
4	Correct	355 ms	9708 KB	Output is correct
5	Correct	288 ms	9684 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	348 ms	11204 KB	Output is correct
2	Correct	378 ms	11272 KB	Output is correct
3	Correct	367 ms	11272 KB	Output is correct
4	Correct	424 ms	11288 KB	Output is correct
5	Correct	324 ms	11272 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	384 ms	11380 KB	Output is correct
2	Correct	427 ms	11280 KB	Output is correct
3	Correct	313 ms	11276 KB	Output is correct
4	Correct	406 ms	11220 KB	Output is correct
5	Correct	348 ms	11340 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	369 ms	12836 KB	Output is correct
2	Correct	426 ms	12880 KB	Output is correct
3	Correct	412 ms	12840 KB	Output is correct
4	Correct	474 ms	12756 KB	Output is correct
5	Correct	406 ms	12840 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	473 ms	12840 KB	Output is correct
2	Correct	485 ms	12840 KB	Output is correct
3	Correct	341 ms	12844 KB	Output is correct
4	Correct	475 ms	12852 KB	Output is correct
5	Correct	389 ms	12840 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	472 ms	15968 KB	Output is correct
2	Correct	515 ms	15972 KB	Output is correct
3	Correct	514 ms	15972 KB	Output is correct
4	Correct	586 ms	15976 KB	Output is correct
5	Correct	488 ms	15980 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	572 ms	15972 KB	Output is correct
2	Correct	608 ms	15956 KB	Output is correct
3	Correct	469 ms	15976 KB	Output is correct
4	Correct	607 ms	15972 KB	Output is correct
5	Correct	550 ms	15956 KB	Output is correct

Submission #623087

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