Submission #477081

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
477081	2021-09-30T06:14:44 Z	qwerty1234	Mobile (BOI12_mobile)	C++17	100 / 100	838 ms	16084 KB

mobile

#include <bits/stdc++.h>

#define ll long long

using namespace std;

bool check(double maxDist, vector<pair<double, double>> &transceivers, ll N, ll L) {
	double covered = 0;
	for (int i = 0; i < N; i++) {
		double ySquared = transceivers[i].second * transceivers[i].second;
		double hypoSquared = maxDist * maxDist;
		if (hypoSquared - ySquared < 0) {
			continue;
		}
		double x = sqrt(hypoSquared - ySquared);
		if (transceivers[i].first - x <= covered) {
			covered = max(covered, transceivers[i].first + x);
		}
	}
	return covered >= L;
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	ll N, L;
	cin >> N >> L;
	vector<pair<double, double>> transceivers(N);
	for (int i = 0; i < N; i++) cin >> transceivers[i].first >> transceivers[i].second;
	double l = 0;
	double r = 1e18;
	double ans = 0;
	while (r - l >= 0.001) {
		double mid = l + (r - l) / 2;
		// cout << l << ' ' << r << ' ' << mid << '\n';
		if (check(mid, transceivers, N, L)) {
			r = mid;
			ans = mid;
		} else {
			l = mid;
		}
	}
	printf("%0.4lf\n", ans);
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	204 KB	Output is correct
3	Correct	0 ms	204 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	204 KB	Output is correct
3	Correct	1 ms	204 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	332 KB	Output is correct
2	Correct	2 ms	332 KB	Output is correct
3	Correct	2 ms	332 KB	Output is correct
4	Correct	3 ms	332 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	332 KB	Output is correct
2	Correct	5 ms	332 KB	Output is correct
3	Correct	4 ms	332 KB	Output is correct
4	Correct	5 ms	388 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	396 KB	Output is correct
2	Correct	5 ms	392 KB	Output is correct
3	Correct	4 ms	332 KB	Output is correct
4	Correct	4 ms	332 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	388 KB	Output is correct
2	Correct	4 ms	332 KB	Output is correct
3	Correct	3 ms	332 KB	Output is correct
4	Correct	5 ms	332 KB	Output is correct
5	Correct	4 ms	332 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	55 ms	1484 KB	Output is correct
2	Correct	56 ms	1484 KB	Output is correct
3	Correct	48 ms	1144 KB	Output is correct
4	Correct	55 ms	1484 KB	Output is correct
5	Correct	35 ms	1100 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	60 ms	1484 KB	Output is correct
2	Correct	50 ms	1476 KB	Output is correct
3	Correct	59 ms	1484 KB	Output is correct
4	Correct	59 ms	1548 KB	Output is correct
5	Correct	77 ms	1612 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	64 ms	1612 KB	Output is correct
2	Correct	71 ms	1484 KB	Output is correct
3	Correct	60 ms	1732 KB	Output is correct
4	Correct	85 ms	1868 KB	Output is correct
5	Correct	65 ms	1612 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	85 ms	1872 KB	Output is correct
2	Correct	78 ms	1872 KB	Output is correct
3	Correct	70 ms	1868 KB	Output is correct
4	Correct	85 ms	1868 KB	Output is correct
5	Correct	72 ms	1868 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	83 ms	1876 KB	Output is correct
2	Correct	74 ms	1868 KB	Output is correct
3	Correct	75 ms	1868 KB	Output is correct
4	Correct	90 ms	1868 KB	Output is correct
5	Correct	78 ms	1868 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	370 ms	8144 KB	Output is correct
2	Correct	397 ms	8144 KB	Output is correct
3	Correct	391 ms	8260 KB	Output is correct
4	Correct	404 ms	8148 KB	Output is correct
5	Correct	360 ms	8140 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	424 ms	8260 KB	Output is correct
2	Correct	432 ms	8144 KB	Output is correct
3	Correct	333 ms	8140 KB	Output is correct
4	Correct	400 ms	8140 KB	Output is correct
5	Correct	356 ms	8260 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	406 ms	9696 KB	Output is correct
2	Correct	480 ms	9700 KB	Output is correct
3	Correct	471 ms	9704 KB	Output is correct
4	Correct	541 ms	9696 KB	Output is correct
5	Correct	423 ms	9676 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	533 ms	9692 KB	Output is correct
2	Correct	500 ms	9800 KB	Output is correct
3	Correct	450 ms	9700 KB	Output is correct
4	Correct	499 ms	9676 KB	Output is correct
5	Correct	451 ms	9676 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	489 ms	11212 KB	Output is correct
2	Correct	557 ms	11264 KB	Output is correct
3	Correct	530 ms	11260 KB	Output is correct
4	Correct	575 ms	11332 KB	Output is correct
5	Correct	488 ms	11264 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	567 ms	11268 KB	Output is correct
2	Correct	576 ms	11264 KB	Output is correct
3	Correct	497 ms	11212 KB	Output is correct
4	Correct	585 ms	11260 KB	Output is correct
5	Correct	513 ms	11212 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	573 ms	12868 KB	Output is correct
2	Correct	659 ms	12832 KB	Output is correct
3	Correct	632 ms	12828 KB	Output is correct
4	Correct	665 ms	12844 KB	Output is correct
5	Correct	591 ms	12836 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	686 ms	12832 KB	Output is correct
2	Correct	656 ms	12844 KB	Output is correct
3	Correct	560 ms	12832 KB	Output is correct
4	Correct	654 ms	12828 KB	Output is correct
5	Correct	576 ms	12832 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	672 ms	15960 KB	Output is correct
2	Correct	788 ms	15948 KB	Output is correct
3	Correct	823 ms	15948 KB	Output is correct
4	Correct	838 ms	16068 KB	Output is correct
5	Correct	779 ms	15972 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	793 ms	15956 KB	Output is correct
2	Correct	813 ms	15960 KB	Output is correct
3	Correct	704 ms	16084 KB	Output is correct
4	Correct	827 ms	16068 KB	Output is correct
5	Correct	746 ms	15968 KB	Output is correct

Submission #477081

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