Submission #1010115

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1010115	2024-06-28T10:38:18 Z	Psiuk_Yurii	Mobile (BOI12_mobile)	C++14	90 / 100	1000 ms	41636 KB

mobile

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pll;
typedef pair<ld,ld> pld;
typedef pair<ll,pll> ppl;

ll n;
ld u,L,R,eps;
pld p[1000009];

bool can(ld R){
   ld r=0.0;
   for(int i=1;i<=n;i++){
       if(R>=p[i].second){
           ld x0=p[i].first-sqrt(R*R-p[i].second*p[i].second);
           if(x0<=r) {
                ld x1=p[i].first+sqrt(R*R-p[i].second*p[i].second);
                r=max(x1,r);
                if(r>=u) return true;
           }
       }
   }
  return false;
}
int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    cin>>n>>u;
    for(int i=1;i<=n;i++) cin>>p[i].first>>p[i].second;
    eps=0.001;
    L=0.0; R=1000000000.0;
    while(L<R-eps){
        ld mid=(L+R)*0.5;
        if(can(mid)) R=mid;
        else L=mid;
    }
    cout<<fixed<<setprecision(5)<<L;


    return 0;
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	1 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	2 ms	344 KB	Output is correct
2	Correct	2 ms	604 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	3 ms	604 KB	Output is correct
2	Correct	2 ms	604 KB	Output is correct
3	Correct	2 ms	604 KB	Output is correct
4	Correct	3 ms	604 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	604 KB	Output is correct
2	Correct	3 ms	600 KB	Output is correct
3	Correct	2 ms	592 KB	Output is correct
4	Correct	3 ms	604 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	604 KB	Output is correct
2	Correct	3 ms	604 KB	Output is correct
3	Correct	2 ms	604 KB	Output is correct
4	Correct	4 ms	716 KB	Output is correct
5	Correct	3 ms	604 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	37 ms	3360 KB	Output is correct
2	Correct	29 ms	3412 KB	Output is correct
3	Correct	15 ms	2656 KB	Output is correct
4	Correct	58 ms	3408 KB	Output is correct
5	Correct	22 ms	2392 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	40 ms	3420 KB	Output is correct
2	Correct	45 ms	3420 KB	Output is correct
3	Correct	58 ms	3768 KB	Output is correct
4	Correct	62 ms	3668 KB	Output is correct
5	Correct	73 ms	4192 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	39 ms	3716 KB	Output is correct
2	Correct	29 ms	3744 KB	Output is correct
3	Correct	31 ms	3720 KB	Output is correct
4	Correct	92 ms	4692 KB	Output is correct
5	Correct	53 ms	3916 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	45 ms	4444 KB	Output is correct
2	Correct	37 ms	4612 KB	Output is correct
3	Correct	48 ms	4136 KB	Output is correct
4	Correct	92 ms	4688 KB	Output is correct
5	Correct	68 ms	4176 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	54 ms	4604 KB	Output is correct
2	Correct	41 ms	4580 KB	Output is correct
3	Correct	32 ms	4168 KB	Output is correct
4	Correct	114 ms	4688 KB	Output is correct
5	Correct	68 ms	4176 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	253 ms	18256 KB	Output is correct
2	Correct	191 ms	20052 KB	Output is correct
3	Correct	168 ms	19880 KB	Output is correct
4	Correct	431 ms	21328 KB	Output is correct
5	Correct	377 ms	19460 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	214 ms	20292 KB	Output is correct
2	Correct	236 ms	19632 KB	Output is correct
3	Correct	146 ms	18996 KB	Output is correct
4	Correct	405 ms	20792 KB	Output is correct
5	Correct	345 ms	19864 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	284 ms	21844 KB	Output is correct
2	Correct	207 ms	24236 KB	Output is correct
3	Correct	181 ms	23692 KB	Output is correct
4	Correct	576 ms	25204 KB	Output is correct
5	Correct	409 ms	23376 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	261 ms	24148 KB	Output is correct
2	Correct	285 ms	23116 KB	Output is correct
3	Correct	239 ms	23024 KB	Output is correct
4	Correct	602 ms	25380 KB	Output is correct
5	Correct	447 ms	23632 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	385 ms	25816 KB	Output is correct
2	Correct	288 ms	28008 KB	Output is correct
3	Correct	242 ms	27556 KB	Output is correct
4	Correct	658 ms	29184 KB	Output is correct
5	Correct	473 ms	27220 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	287 ms	28244 KB	Output is correct
2	Correct	323 ms	27096 KB	Output is correct
3	Correct	220 ms	26584 KB	Output is correct
4	Correct	688 ms	29088 KB	Output is correct
5	Correct	552 ms	27532 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	454 ms	29276 KB	Output is correct
2	Correct	324 ms	31744 KB	Output is correct
3	Correct	263 ms	31596 KB	Output is correct
4	Correct	792 ms	33636 KB	Output is correct
5	Correct	604 ms	36648 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	494 ms	32412 KB	Output is correct
2	Correct	401 ms	31136 KB	Output is correct
3	Correct	282 ms	30808 KB	Output is correct
4	Correct	934 ms	33368 KB	Output is correct
5	Correct	606 ms	36868 KB	Output is correct

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	517 ms	36364 KB	Output is correct
2	Correct	398 ms	39612 KB	Output is correct
3	Correct	418 ms	39004 KB	Output is correct
4	Execution timed out	1010 ms	41488 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #21
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	550 ms	40204 KB	Output is correct
2	Correct	548 ms	38544 KB	Output is correct
3	Correct	364 ms	37908 KB	Output is correct
4	Execution timed out	1020 ms	41636 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Submission #1010115

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