Submission #1079725

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1079725	2024-08-28T23:12:49 Z	EmmaXII	Mobile (BOI12_mobile)	C++17	65 / 100	280 ms	35408 KB

mobile

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

typedef long long ll;
using vi = vector<int>;
using vvi = vector<vector<int>>;
using vll = vector<ll>;
using vvll = vector<vector<ll>>;

#define all(x) x.begin(), x.end()


int main() {
	std::ios::sync_with_stdio(false);
	std::cin.tie(NULL);

	int N;
	ll L;
	cin >> N >> L;

	vector<ll> X(N);
	vector<ll> Y(N);
	for (int i=0;i<N;i++) cin >> X[i] >> Y[i];

	auto get_hw = [&](double y, double r) {
		if (abs(y) > r) return -1.0;
		return sqrt((r-y) * (r+y));
	};

	auto can_do = [&](double R) {
		double progress = 0.;
		for (int i=0;i<N;i++) {
			double hw = get_hw((double)Y[i], R);
			if (hw < 0) continue;

			double l = (double)X[i] - hw;
			double r = (double)X[i] + hw;
			if (l <= progress + 1e-6) progress = max(progress, r);
			if (progress >= (double)L) return true;
		}

		return false;
	};

	double lo = 0;
	ll lhi = L + abs(X[0]) + abs(Y[0]);
	lhi = lhi*lhi;
	for (int i=0;i<N;i++) {
		ll nhi = max(
			X[i]*X[i] + Y[i]*Y[i],
			(X[i]-L)*(X[i]-L) + Y[i]*Y[i]
		);
		lhi = min(nhi, lhi);
	}
	double hi = sqrt(lhi);

	while (hi - lo > 1e-4) {
		double mid = (lo + hi) / 2;
		if (can_do(mid)) hi = mid;
		else lo = mid;
	}
	cout << setprecision(10);
	cout << lo << endl;

	return 0;
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Memory	Grader output
1	Correct	348 KB	Output is correct
2	Correct	348 KB	Output is correct
3	Correct	348 KB	Output is correct
4	Correct	348 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	1 ms	348 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	1112 KB	Output is correct
2	Correct	1 ms	604 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	1 ms	604 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	1 ms	604 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	1 ms	604 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	1 ms	604 KB	Output is correct
3	Correct	1 ms	468 KB	Output is correct
4	Correct	1 ms	604 KB	Output is correct
5	Correct	1 ms	576 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	18 ms	2396 KB	Output is correct
2	Correct	24 ms	2744 KB	Output is correct
3	Correct	11 ms	1800 KB	Output is correct
4	Correct	13 ms	2652 KB	Output is correct
5	Correct	6 ms	1624 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	11 ms	2140 KB	Output is correct
2	Correct	12 ms	2140 KB	Output is correct
3	Correct	12 ms	2652 KB	Output is correct
4	Correct	14 ms	2716 KB	Output is correct
5	Correct	17 ms	3096 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	17 ms	2392 KB	Output is correct
2	Correct	19 ms	2524 KB	Output is correct
3	Correct	16 ms	2396 KB	Output is correct
4	Correct	20 ms	3164 KB	Output is correct
5	Correct	12 ms	2652 KB	Output is correct

Subtask #10
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	25 ms	3056 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	24 ms	2908 KB	Output is correct
2	Correct	23 ms	2908 KB	Output is correct
3	Correct	16 ms	2652 KB	Output is correct
4	Correct	20 ms	3164 KB	Output is correct
5	Correct	16 ms	3160 KB	Output is correct

Subtask #12
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	114 ms	10576 KB	Output is correct
2	Incorrect	117 ms	12360 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	125 ms	12880 KB	Output is correct
2	Correct	159 ms	11860 KB	Output is correct
3	Correct	88 ms	14164 KB	Output is correct
4	Correct	94 ms	17496 KB	Output is correct
5	Correct	82 ms	15440 KB	Output is correct

Subtask #14
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	131 ms	12532 KB	Output is correct
2	Incorrect	162 ms	14932 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #15
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	156 ms	14932 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #16
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	157 ms	14740 KB	Output is correct
2	Incorrect	174 ms	16980 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	174 ms	11356 KB	Output is correct
2	Correct	203 ms	11352 KB	Output is correct
3	Correct	126 ms	19600 KB	Output is correct
4	Correct	139 ms	24784 KB	Output is correct
5	Correct	116 ms	21520 KB	Output is correct

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	186 ms	12972 KB	Output is correct
2	Incorrect	185 ms	12968 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	205 ms	13144 KB	Output is correct
2	Correct	228 ms	13136 KB	Output is correct
3	Correct	149 ms	22308 KB	Output is correct
4	Correct	152 ms	28332 KB	Output is correct
5	Correct	143 ms	24364 KB	Output is correct

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	231 ms	15960 KB	Output is correct
2	Incorrect	237 ms	15960 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	269 ms	15964 KB	Output is correct
2	Correct	280 ms	15960 KB	Output is correct
3	Correct	185 ms	28240 KB	Output is correct
4	Correct	194 ms	35408 KB	Output is correct
5	Correct	159 ms	30800 KB	Output is correct

Submission #1079725

Compilation message