Submission #829749

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
829749	2023-08-18T14:46:19 Z	soumyojit_sen	Mobile (BOI12_mobile)	C++14	12 / 100	692 ms	8124 KB

mobile

#include <bits/stdc++.h>
using namespace std;
vector<pair<int,int>> pts;
int n;
double L;

bool works(double d){
	// whether a radius of d is enough to intersect all the circles
	double currDistCovered = 0.0;
	for(int i = 0; i < n; i++){
		// find the segment covered by ith circle on the highway
		// radius^2 = yi^2 + dist^2
		double dist = sqrt(d*d - pts[i].second*pts[i].second);
		double start = pts[i].first - dist;
		double end = pts[i].first + dist;

		if(start <= currDistCovered){
			currDistCovered = max(currDistCovered, end);
		}
	}
	return currDistCovered >= L;

}

int main() {
	cin >> n >> L;
	pts.resize(n);
	for(int i = 0; i < n; i++) cin >> pts[i].first >> pts[i].second;

	double good = 1e12;
	double bad = -1.0;
	
	for(int i = 0; i < 60; i++){
		double mid = bad + (good - bad)/2;
		if(works(mid)){
			good = mid;
		} else {
			bad = mid;
		}
	}
	cout << fixed << setprecision(6) << good;
}

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

Subtask #3
4.0 / 4.0

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

Subtask #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	3 ms	340 KB	Output is correct
4	Incorrect	4 ms	340 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #5
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	340 KB	Output is correct
2	Correct	3 ms	340 KB	Output is correct
3	Correct	3 ms	340 KB	Output is correct
4	Incorrect	4 ms	340 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #6
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	3 ms	212 KB	Output is correct
4	Incorrect	4 ms	212 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #7
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	50 ms	852 KB	Output is correct
2	Incorrect	49 ms	884 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #8
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	51 ms	908 KB	Output is correct
2	Correct	51 ms	852 KB	Output is correct
3	Incorrect	75 ms	852 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

Subtask #9
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	51 ms	980 KB	Output is correct
2	Incorrect	50 ms	852 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #10
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	74 ms	1080 KB	Output is correct
2	Incorrect	61 ms	1072 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #11
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	63 ms	980 KB	Output is correct
2	Incorrect	61 ms	980 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #12
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	259 ms	4212 KB	Output is correct
2	Incorrect	404 ms	4208 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #13
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	353 ms	4204 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #14
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	300 ms	4980 KB	Output is correct
2	Incorrect	382 ms	4980 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #15
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	386 ms	4980 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #16
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	334 ms	5768 KB	Output is correct
2	Incorrect	480 ms	5772 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #17
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	447 ms	5768 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	444 ms	6556 KB	Output is correct
2	Incorrect	514 ms	6552 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #19
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	556 ms	6548 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	528 ms	8124 KB	Output is correct
2	Incorrect	692 ms	8120 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #21
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	633 ms	8120 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Submission #829749

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