Submission #1010128

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1010128	2024-06-28T10:54:16 Z	Psiuk_Yurii	Mobile (BOI12_mobile)	C++14	100 / 100	474 ms	50852 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; p[i].second=abs(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	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	344 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	344 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	604 KB	Output is correct
2	Correct	4 ms	604 KB	Output is correct
3	Correct	2 ms	604 KB	Output is correct
4	Correct	3 ms	600 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	604 KB	Output is correct
2	Correct	2 ms	600 KB	Output is correct
3	Correct	2 ms	604 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	3 ms	604 KB	Output is correct
2	Correct	2 ms	604 KB	Output is correct
3	Correct	2 ms	608 KB	Output is correct
4	Correct	2 ms	604 KB	Output is correct
5	Correct	2 ms	604 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	36 ms	2652 KB	Output is correct
2	Correct	28 ms	2648 KB	Output is correct
3	Correct	16 ms	2140 KB	Output is correct
4	Correct	27 ms	2588 KB	Output is correct
5	Correct	14 ms	1964 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	23 ms	2900 KB	Output is correct
2	Correct	22 ms	2648 KB	Output is correct
3	Correct	26 ms	2908 KB	Output is correct
4	Correct	28 ms	2896 KB	Output is correct
5	Correct	32 ms	3164 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	38 ms	3160 KB	Output is correct
2	Correct	28 ms	2904 KB	Output is correct
3	Correct	28 ms	2944 KB	Output is correct
4	Correct	55 ms	3340 KB	Output is correct
5	Correct	37 ms	3156 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	46 ms	3416 KB	Output is correct
2	Correct	36 ms	3420 KB	Output is correct
3	Correct	33 ms	3416 KB	Output is correct
4	Correct	45 ms	3664 KB	Output is correct
5	Correct	35 ms	3412 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	52 ms	3420 KB	Output is correct
2	Correct	36 ms	3524 KB	Output is correct
3	Correct	31 ms	3416 KB	Output is correct
4	Correct	40 ms	3412 KB	Output is correct
5	Correct	32 ms	3468 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	247 ms	15956 KB	Output is correct
2	Correct	192 ms	15956 KB	Output is correct
3	Correct	168 ms	16256 KB	Output is correct
4	Correct	189 ms	15952 KB	Output is correct
5	Correct	167 ms	16060 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	218 ms	16116 KB	Output is correct
2	Correct	254 ms	15956 KB	Output is correct
3	Correct	162 ms	15948 KB	Output is correct
4	Correct	195 ms	16056 KB	Output is correct
5	Correct	181 ms	15956 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	306 ms	19028 KB	Output is correct
2	Correct	221 ms	19228 KB	Output is correct
3	Correct	189 ms	19028 KB	Output is correct
4	Correct	241 ms	19032 KB	Output is correct
5	Correct	213 ms	19124 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	246 ms	19216 KB	Output is correct
2	Correct	256 ms	18992 KB	Output is correct
3	Correct	179 ms	19120 KB	Output is correct
4	Correct	223 ms	19108 KB	Output is correct
5	Correct	182 ms	19024 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	328 ms	22212 KB	Output is correct
2	Correct	246 ms	32980 KB	Output is correct
3	Correct	227 ms	32336 KB	Output is correct
4	Correct	245 ms	35664 KB	Output is correct
5	Correct	198 ms	31316 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	260 ms	22352 KB	Output is correct
2	Correct	302 ms	22348 KB	Output is correct
3	Correct	211 ms	22380 KB	Output is correct
4	Correct	240 ms	22224 KB	Output is correct
5	Correct	228 ms	22352 KB	Output is correct

Subtask #18
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	365 ms	25424 KB	Output is correct
2	Correct	279 ms	37716 KB	Output is correct
3	Correct	250 ms	37096 KB	Output is correct
4	Correct	298 ms	41040 KB	Output is correct
5	Correct	239 ms	36652 KB	Output is correct

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	284 ms	25428 KB	Output is correct
2	Correct	328 ms	25296 KB	Output is correct
3	Correct	263 ms	25424 KB	Output is correct
4	Correct	277 ms	25400 KB	Output is correct
5	Correct	270 ms	25428 KB	Output is correct

Subtask #20
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	474 ms	31568 KB	Output is correct
2	Correct	336 ms	47184 KB	Output is correct
3	Correct	333 ms	46092 KB	Output is correct
4	Correct	418 ms	50852 KB	Output is correct
5	Correct	307 ms	45140 KB	Output is correct

Subtask #21
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	397 ms	31720 KB	Output is correct
2	Correct	405 ms	31824 KB	Output is correct
3	Correct	314 ms	31576 KB	Output is correct
4	Correct	378 ms	31572 KB	Output is correct
5	Correct	340 ms	31572 KB	Output is correct

Submission #1010128

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