Submission #623086

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
623086	2022-08-05T07:13:32 Z	54skyxenon	Mobile (BOI12_mobile)	C++17	100 / 100	421 ms	35368 KB

mobile

// From https://usaco.guide/problems/baltic-oi-2012mobile/solution

#include <bits/stdc++.h>
#define x first
#define y second
using namespace std;

pair<long long, long long> p[1000000];

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	int n, len;
	cin >> n >> len;
	for (int i = 0; i < n; i++) cin >> p[i].x >> p[i].y;

	double l = 1, r = 1.5e9;
	while (r - l > 1e-3) {
		double mid = (l + r) / 2, curr = 0;
		for (int i = 0; i < n; i++) {
			double delta = sqrt(mid * mid - p[i].y * p[i].y);
			double a = p[i].x - delta, b = p[i].x + delta;
			if (a <= curr) curr = max(curr, b);
		}

		if (curr >= len) r = mid;
		else l = mid;
	}

	cout << fixed << setprecision(4) << l;
	return 0;
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	0 ms	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	212 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 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	1 ms	340 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	404 KB	Output is correct
2	Correct	2 ms	340 KB	Output is correct
3	Correct	2 ms	340 KB	Output is correct
4	Correct	2 ms	412 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	352 KB	Output is correct
2	Correct	2 ms	340 KB	Output is correct
3	Correct	3 ms	444 KB	Output is correct
4	Correct	2 ms	468 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	340 KB	Output is correct
2	Correct	2 ms	340 KB	Output is correct
3	Correct	2 ms	336 KB	Output is correct
4	Correct	3 ms	468 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	29 ms	1504 KB	Output is correct
2	Correct	22 ms	1492 KB	Output is correct
3	Correct	15 ms	1736 KB	Output is correct
4	Correct	26 ms	2572 KB	Output is correct
5	Correct	13 ms	1516 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	22 ms	1508 KB	Output is correct
2	Correct	22 ms	1428 KB	Output is correct
3	Correct	27 ms	1504 KB	Output is correct
4	Correct	28 ms	2636 KB	Output is correct
5	Correct	31 ms	3052 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	20 ms	1620 KB	Output is correct
2	Correct	27 ms	1584 KB	Output is correct
3	Correct	24 ms	2508 KB	Output is correct
4	Correct	50 ms	3816 KB	Output is correct
5	Correct	35 ms	2728 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	1876 KB	Output is correct
2	Correct	32 ms	3256 KB	Output is correct
3	Correct	26 ms	2800 KB	Output is correct
4	Correct	38 ms	3776 KB	Output is correct
5	Correct	32 ms	3076 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	27 ms	1876 KB	Output is correct
2	Correct	30 ms	3288 KB	Output is correct
3	Correct	27 ms	2908 KB	Output is correct
4	Correct	40 ms	3852 KB	Output is correct
5	Correct	36 ms	3056 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	113 ms	8132 KB	Output is correct
2	Correct	156 ms	15868 KB	Output is correct
3	Correct	150 ms	15372 KB	Output is correct
4	Correct	180 ms	17628 KB	Output is correct
5	Correct	174 ms	14964 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	166 ms	8068 KB	Output is correct
2	Correct	216 ms	14752 KB	Output is correct
3	Correct	137 ms	13828 KB	Output is correct
4	Correct	214 ms	17528 KB	Output is correct
5	Correct	165 ms	15444 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	146 ms	9616 KB	Output is correct
2	Correct	198 ms	19116 KB	Output is correct
3	Correct	173 ms	18396 KB	Output is correct
4	Correct	276 ms	21608 KB	Output is correct
5	Correct	201 ms	17696 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	175 ms	9704 KB	Output is correct
2	Correct	308 ms	17644 KB	Output is correct
3	Correct	188 ms	16544 KB	Output is correct
4	Correct	221 ms	21448 KB	Output is correct
5	Correct	223 ms	18428 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	167 ms	11368 KB	Output is correct
2	Correct	215 ms	22124 KB	Output is correct
3	Correct	248 ms	21448 KB	Output is correct
4	Correct	261 ms	24828 KB	Output is correct
5	Correct	236 ms	20300 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	193 ms	11216 KB	Output is correct
2	Correct	293 ms	20464 KB	Output is correct
3	Correct	215 ms	19616 KB	Output is correct
4	Correct	267 ms	24780 KB	Output is correct
5	Correct	230 ms	21416 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	203 ms	12836 KB	Output is correct
2	Correct	240 ms	25244 KB	Output is correct
3	Correct	235 ms	24476 KB	Output is correct
4	Correct	294 ms	28436 KB	Output is correct
5	Correct	265 ms	23940 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	226 ms	12808 KB	Output is correct
2	Correct	333 ms	23412 KB	Output is correct
3	Correct	238 ms	22316 KB	Output is correct
4	Correct	293 ms	28212 KB	Output is correct
5	Correct	267 ms	24368 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	243 ms	15916 KB	Output is correct
2	Correct	319 ms	31476 KB	Output is correct
3	Correct	294 ms	30532 KB	Output is correct
4	Correct	373 ms	35076 KB	Output is correct
5	Correct	340 ms	29576 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	282 ms	15900 KB	Output is correct
2	Correct	421 ms	29184 KB	Output is correct
3	Correct	274 ms	28260 KB	Output is correct
4	Correct	378 ms	35368 KB	Output is correct
5	Correct	384 ms	30708 KB	Output is correct

Submission #623086

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