Submission #829826

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
829826	2023-08-18T15:16:05 Z	soumyojit_sen	Mobile (BOI12_mobile)	C++14	100 / 100	590 ms	30716 KB

mobile

#include <iostream>
#include <vector>
#include <math.h>
#include <iomanip>
using namespace std;
vector<pair<double, double>> 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() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);
	cin >> n >> L;
	pts.resize(n);
	for(int i = 0; i < n; i++) cin >> pts[i].first >> pts[i].second;

	double good = 1.5e9;
	double bad = -1.0;
	
	for(int i = 0; i < 50; i++){
		double mid = bad + (good - bad)/2;
		//cout << fixed << setprecision(6) << i << " " << mid <<"\n" ;
		if(works(mid)){
			good = mid;
		} else {
			bad = mid;
		}
	}
	cout << fixed << setprecision(12) << 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	0 ms	212 KB	Output is correct
3	Correct	1 ms	320 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	3 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	2 ms	340 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	340 KB	Output is correct
2	Correct	3 ms	468 KB	Output is correct
3	Correct	4 ms	340 KB	Output is correct
4	Correct	3 ms	456 KB	Output is correct

Subtask #5
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	Correct	3 ms	468 KB	Output is correct

Subtask #6
5.0 / 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	328 KB	Output is correct
4	Correct	3 ms	460 KB	Output is correct
5	Correct	3 ms	436 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	47 ms	1492 KB	Output is correct
2	Correct	37 ms	1492 KB	Output is correct
3	Correct	25 ms	1108 KB	Output is correct
4	Correct	41 ms	2644 KB	Output is correct
5	Correct	23 ms	1420 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	37 ms	1492 KB	Output is correct
2	Correct	35 ms	1364 KB	Output is correct
3	Correct	42 ms	2260 KB	Output is correct
4	Correct	47 ms	2688 KB	Output is correct
5	Correct	48 ms	3080 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	37 ms	1620 KB	Output is correct
2	Correct	40 ms	2248 KB	Output is correct
3	Correct	39 ms	2532 KB	Output is correct
4	Correct	59 ms	3784 KB	Output is correct
5	Correct	45 ms	2636 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	51 ms	1876 KB	Output is correct
2	Correct	46 ms	1876 KB	Output is correct
3	Correct	46 ms	2896 KB	Output is correct
4	Correct	58 ms	3780 KB	Output is correct
5	Correct	51 ms	3016 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	48 ms	1876 KB	Output is correct
2	Correct	49 ms	2592 KB	Output is correct
3	Correct	45 ms	2916 KB	Output is correct
4	Correct	64 ms	3764 KB	Output is correct
5	Correct	52 ms	3036 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	214 ms	8144 KB	Output is correct
2	Correct	236 ms	8148 KB	Output is correct
3	Correct	240 ms	8148 KB	Output is correct
4	Correct	278 ms	8148 KB	Output is correct
5	Correct	258 ms	8148 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	236 ms	8148 KB	Output is correct
2	Correct	317 ms	8148 KB	Output is correct
3	Correct	228 ms	8148 KB	Output is correct
4	Correct	294 ms	8148 KB	Output is correct
5	Correct	272 ms	8148 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	257 ms	9684 KB	Output is correct
2	Correct	287 ms	10452 KB	Output is correct
3	Correct	317 ms	13268 KB	Output is correct
4	Correct	348 ms	13120 KB	Output is correct
5	Correct	316 ms	13284 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	288 ms	9684 KB	Output is correct
2	Correct	377 ms	9684 KB	Output is correct
3	Correct	271 ms	13200 KB	Output is correct
4	Correct	355 ms	13220 KB	Output is correct
5	Correct	321 ms	13232 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	299 ms	11220 KB	Output is correct
2	Correct	332 ms	12144 KB	Output is correct
3	Correct	327 ms	14848 KB	Output is correct
4	Correct	401 ms	14652 KB	Output is correct
5	Correct	364 ms	14840 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	336 ms	11196 KB	Output is correct
2	Correct	432 ms	11264 KB	Output is correct
3	Correct	320 ms	14772 KB	Output is correct
4	Correct	405 ms	14712 KB	Output is correct
5	Correct	370 ms	14796 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	350 ms	12776 KB	Output is correct
2	Correct	376 ms	13564 KB	Output is correct
3	Correct	380 ms	16332 KB	Output is correct
4	Correct	461 ms	16264 KB	Output is correct
5	Correct	420 ms	16368 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	383 ms	12756 KB	Output is correct
2	Correct	479 ms	12852 KB	Output is correct
3	Correct	363 ms	12756 KB	Output is correct
4	Correct	459 ms	16268 KB	Output is correct
5	Correct	427 ms	16388 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	423 ms	15956 KB	Output is correct
2	Correct	473 ms	15956 KB	Output is correct
3	Correct	463 ms	15956 KB	Output is correct
4	Correct	563 ms	15956 KB	Output is correct
5	Correct	519 ms	29672 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	476 ms	15916 KB	Output is correct
2	Correct	590 ms	15904 KB	Output is correct
3	Correct	467 ms	15956 KB	Output is correct
4	Correct	567 ms	15956 KB	Output is correct
5	Correct	533 ms	30716 KB	Output is correct

Submission #829826

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