Submission #998939

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
998939	2024-06-15T01:34:39 Z	hippo123	Mobile (BOI12_mobile)	C++17	100 / 100	711 ms	35412 KB

mobile

#include <bits/stdc++.h>
using namespace std;
#define ll long long 
#define pr pair<ll, ll>

#define pb push_back
#define f first
#define s second
vector<pr> d(1000001);
int n; double L;

bool comp(pr a, pr b){
	if(a.f==b.f) return a.s*a.s<b.s*b.s;
	return a.f<b.f;
}


int main(){
	 cin>>n>>L;
	

	for (int i=0; i<n; i++) {
		cin>>d[i].f>>d[i].s; 
	}
	
	//sort(d.begin(), d.begin()+n, comp);
	
	//for (int i=0; i<n; i++) cout<<d[i].f<<" " <<d[i].s<<" :"<<endl;
	
	double lft=0; double rht=1.5e9;
	while (rht-lft>1e-4){
		double mid=(rht+lft)/2;
		double curr=0;
		for (int i=0; i<n; i++){
			double dx=sqrt(mid*mid-d[i].s*d[i].s);
			double x1, x2;
			x1=d[i].f-dx; x2=d[i].f+dx;
			if(x1<=curr) curr=max(curr, x2); 
		}
		if(curr>=L) rht=mid;
		else lft=mid;
	
	}
	cout << fixed <<setprecision(4);
	cout<<lft<<endl;
	
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	15960 KB	Output is correct
2	Correct	4 ms	15964 KB	Output is correct
3	Correct	2 ms	15964 KB	Output is correct
4	Correct	3 ms	15964 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	15960 KB	Output is correct
2	Correct	2 ms	15964 KB	Output is correct
3	Correct	2 ms	15964 KB	Output is correct
4	Correct	2 ms	15964 KB	Output is correct

Subtask #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	15964 KB	Output is correct
2	Correct	3 ms	15964 KB	Output is correct
3	Correct	3 ms	15964 KB	Output is correct
4	Correct	7 ms	16100 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	15964 KB	Output is correct
2	Correct	5 ms	15964 KB	Output is correct
3	Correct	6 ms	15960 KB	Output is correct
4	Correct	6 ms	16092 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	15960 KB	Output is correct
2	Correct	6 ms	15964 KB	Output is correct
3	Correct	5 ms	15964 KB	Output is correct
4	Correct	5 ms	16104 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	15964 KB	Output is correct
2	Correct	5 ms	16104 KB	Output is correct
3	Correct	5 ms	15964 KB	Output is correct
4	Correct	6 ms	15964 KB	Output is correct
5	Correct	5 ms	15896 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	46 ms	16072 KB	Output is correct
2	Correct	40 ms	16080 KB	Output is correct
3	Correct	28 ms	16472 KB	Output is correct
4	Correct	48 ms	17240 KB	Output is correct
5	Correct	22 ms	16476 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	38 ms	15964 KB	Output is correct
2	Correct	41 ms	15960 KB	Output is correct
3	Correct	46 ms	15964 KB	Output is correct
4	Correct	51 ms	17232 KB	Output is correct
5	Correct	59 ms	17492 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	36 ms	15964 KB	Output is correct
2	Correct	45 ms	15964 KB	Output is correct
3	Correct	41 ms	16976 KB	Output is correct
4	Correct	76 ms	18000 KB	Output is correct
5	Correct	48 ms	17004 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	55 ms	15964 KB	Output is correct
2	Correct	54 ms	15964 KB	Output is correct
3	Correct	48 ms	16976 KB	Output is correct
4	Correct	77 ms	18004 KB	Output is correct
5	Correct	56 ms	17332 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	55 ms	15960 KB	Output is correct
2	Correct	52 ms	15964 KB	Output is correct
3	Correct	48 ms	16888 KB	Output is correct
4	Correct	74 ms	18008 KB	Output is correct
5	Correct	56 ms	17344 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	198 ms	16076 KB	Output is correct
2	Correct	269 ms	15964 KB	Output is correct
3	Correct	260 ms	23120 KB	Output is correct
4	Correct	362 ms	25408 KB	Output is correct
5	Correct	284 ms	22864 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	274 ms	15964 KB	Output is correct
2	Correct	343 ms	22480 KB	Output is correct
3	Correct	233 ms	21584 KB	Output is correct
4	Correct	351 ms	25168 KB	Output is correct
5	Correct	298 ms	23360 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	232 ms	15960 KB	Output is correct
2	Correct	317 ms	15964 KB	Output is correct
3	Correct	312 ms	24656 KB	Output is correct
4	Correct	433 ms	27728 KB	Output is correct
5	Correct	336 ms	24004 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	333 ms	15964 KB	Output is correct
2	Correct	402 ms	23888 KB	Output is correct
3	Correct	274 ms	22716 KB	Output is correct
4	Correct	429 ms	27728 KB	Output is correct
5	Correct	356 ms	24660 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	268 ms	16072 KB	Output is correct
2	Correct	387 ms	16076 KB	Output is correct
3	Correct	369 ms	26192 KB	Output is correct
4	Correct	504 ms	29516 KB	Output is correct
5	Correct	389 ms	24896 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	385 ms	15964 KB	Output is correct
2	Correct	461 ms	25152 KB	Output is correct
3	Correct	331 ms	24448 KB	Output is correct
4	Correct	509 ms	29264 KB	Output is correct
5	Correct	419 ms	26204 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	306 ms	15964 KB	Output is correct
2	Correct	436 ms	15960 KB	Output is correct
3	Correct	425 ms	27472 KB	Output is correct
4	Correct	592 ms	31572 KB	Output is correct
5	Correct	466 ms	27224 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	439 ms	16076 KB	Output is correct
2	Correct	528 ms	26444 KB	Output is correct
3	Correct	381 ms	25428 KB	Output is correct
4	Correct	570 ms	31316 KB	Output is correct
5	Correct	467 ms	27604 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	399 ms	15964 KB	Output is correct
2	Correct	535 ms	15964 KB	Output is correct
3	Correct	528 ms	30548 KB	Output is correct
4	Correct	711 ms	35156 KB	Output is correct
5	Correct	570 ms	29524 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	546 ms	15964 KB	Output is correct
2	Correct	632 ms	29268 KB	Output is correct
3	Correct	499 ms	28244 KB	Output is correct
4	Correct	699 ms	35412 KB	Output is correct
5	Correct	601 ms	30808 KB	Output is correct

Submission #998939

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