Submission #477073

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
477073	2021-09-30T06:05:10 Z	qwerty1234	Mobile (BOI12_mobile)	C++17	70 / 100	1000 ms	25092 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) {
	// vector<pair<double, double>> bounds;
	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);
		}
		// bounds.push_back({ max(transceivers[i].first - x, 0.0), min(transceivers[i].first + x, (double)L) });
	}
	// if (bounds.size() == 0) {
	// 	return false;
	// }
	// for (int i = 0; i < (int)bounds.size(); i++) {
	// 	if (bounds[i].first <= covered) {
	// 		covered = max(covered, bounds[i].second);
	// 	}
	// }

	return covered >= (double)L;
}

int main() {
	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("%0.7lf\n", ans);
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 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 #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	3 ms	332 KB	Output is correct
2	Correct	4 ms	332 KB	Output is correct
3	Correct	3 ms	204 KB	Output is correct
4	Correct	4 ms	204 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	332 KB	Output is correct
2	Correct	7 ms	332 KB	Output is correct
3	Correct	5 ms	284 KB	Output is correct
4	Correct	7 ms	332 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	368 KB	Output is correct
2	Correct	7 ms	332 KB	Output is correct
3	Correct	6 ms	332 KB	Output is correct
4	Correct	8 ms	332 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	368 KB	Output is correct
2	Correct	7 ms	332 KB	Output is correct
3	Correct	6 ms	332 KB	Output is correct
4	Correct	8 ms	368 KB	Output is correct
5	Correct	5 ms	364 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	95 ms	1456 KB	Output is correct
2	Correct	102 ms	1484 KB	Output is correct
3	Correct	62 ms	1100 KB	Output is correct
4	Correct	105 ms	1484 KB	Output is correct
5	Correct	48 ms	1076 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	97 ms	1520 KB	Output is correct
2	Correct	82 ms	1388 KB	Output is correct
3	Correct	101 ms	1484 KB	Output is correct
4	Correct	108 ms	1520 KB	Output is correct
5	Correct	131 ms	1640 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	95 ms	1680 KB	Output is correct
2	Correct	109 ms	1568 KB	Output is correct
3	Correct	95 ms	1612 KB	Output is correct
4	Correct	150 ms	1740 KB	Output is correct
5	Correct	103 ms	1672 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	142 ms	1852 KB	Output is correct
2	Correct	139 ms	1844 KB	Output is correct
3	Correct	131 ms	1740 KB	Output is correct
4	Correct	155 ms	1860 KB	Output is correct
5	Correct	123 ms	1740 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	142 ms	1740 KB	Output is correct
2	Correct	140 ms	1848 KB	Output is correct
3	Correct	131 ms	1852 KB	Output is correct
4	Correct	158 ms	1740 KB	Output is correct
5	Correct	124 ms	1860 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	583 ms	8112 KB	Output is correct
2	Correct	733 ms	8012 KB	Output is correct
3	Correct	685 ms	15272 KB	Output is correct
4	Correct	774 ms	17564 KB	Output is correct
5	Correct	639 ms	14916 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	758 ms	8012 KB	Output is correct
2	Correct	723 ms	14708 KB	Output is correct
3	Correct	590 ms	13852 KB	Output is correct
4	Correct	761 ms	17440 KB	Output is correct
5	Correct	656 ms	15408 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	632 ms	9676 KB	Output is correct
2	Correct	855 ms	18952 KB	Output is correct
3	Correct	804 ms	18232 KB	Output is correct
4	Correct	946 ms	21552 KB	Output is correct
5	Correct	815 ms	17596 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	889 ms	9676 KB	Output is correct
2	Correct	832 ms	17592 KB	Output is correct
3	Correct	711 ms	16444 KB	Output is correct
4	Correct	956 ms	21304 KB	Output is correct
5	Correct	822 ms	18368 KB	Output is correct

Subtask #16
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	785 ms	11244 KB	Output is correct
2	Execution timed out	1004 ms	22072 KB	Time limit exceeded
3	Halted	0 ms	0 KB	-

Subtask #17
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1026 ms	11248 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	870 ms	12748 KB	Output is correct
2	Execution timed out	1085 ms	25092 KB	Time limit exceeded
3	Halted	0 ms	0 KB	-

Subtask #19
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1094 ms	12748 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	1094 ms	15948 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	1079 ms	15948 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Submission #477073

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