Submission #1010107

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1010107	2024-06-28T10:31:22 Z	Psiuk_Yurii	Mobile (BOI12_mobile)	C++14	80 / 100	1000 ms	32508 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 x[1000009],y[1000009],u,L,R,eps;

bool can(ld R){
   ld r=0.0;
   for(int i=1;i<=n;i++){
       if(R>=y[i]){
           ld x0=x[i]-sqrt(R*R-y[i]*y[i]);
           ld x1=x[i]+sqrt(R*R-y[i]*y[i]);
           if(x0<=r+eps) r=max(x1,r);
           if(r>=u-eps) 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>>x[i]>>y[i];
    eps=0.0001;
    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	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 #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	344 KB	Output is correct
3	Correct	2 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	4 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	5 ms	604 KB	Output is correct

Subtask #5
4.0 / 4.0

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

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	600 KB	Output is correct
2	Correct	2 ms	604 KB	Output is correct
3	Correct	2 ms	604 KB	Output is correct
4	Correct	6 ms	604 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	32 ms	2820 KB	Output is correct
2	Correct	29 ms	2648 KB	Output is correct
3	Correct	16 ms	1996 KB	Output is correct
4	Correct	87 ms	2652 KB	Output is correct
5	Correct	33 ms	1880 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	56 ms	2884 KB	Output is correct
2	Correct	66 ms	2648 KB	Output is correct
3	Correct	83 ms	2908 KB	Output is correct
4	Correct	90 ms	2940 KB	Output is correct
5	Correct	112 ms	3152 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	43 ms	3160 KB	Output is correct
2	Correct	30 ms	2968 KB	Output is correct
3	Correct	25 ms	2908 KB	Output is correct
4	Correct	136 ms	3572 KB	Output is correct
5	Correct	82 ms	3160 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	47 ms	3408 KB	Output is correct
2	Correct	40 ms	3416 KB	Output is correct
3	Correct	33 ms	3420 KB	Output is correct
4	Correct	139 ms	3596 KB	Output is correct
5	Correct	114 ms	3412 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	58 ms	3596 KB	Output is correct
2	Correct	44 ms	3520 KB	Output is correct
3	Correct	34 ms	3416 KB	Output is correct
4	Correct	148 ms	3596 KB	Output is correct
5	Correct	104 ms	3412 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	286 ms	16232 KB	Output is correct
2	Correct	206 ms	16104 KB	Output is correct
3	Correct	179 ms	15952 KB	Output is correct
4	Correct	664 ms	16008 KB	Output is correct
5	Correct	500 ms	16116 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	216 ms	16116 KB	Output is correct
2	Correct	272 ms	16212 KB	Output is correct
3	Correct	171 ms	15960 KB	Output is correct
4	Correct	633 ms	15912 KB	Output is correct
5	Correct	532 ms	15956 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	334 ms	19028 KB	Output is correct
2	Correct	237 ms	19236 KB	Output is correct
3	Correct	210 ms	19456 KB	Output is correct
4	Correct	878 ms	19388 KB	Output is correct
5	Correct	584 ms	19236 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	301 ms	19032 KB	Output is correct
2	Correct	318 ms	19252 KB	Output is correct
3	Correct	214 ms	19024 KB	Output is correct
4	Correct	809 ms	19044 KB	Output is correct
5	Correct	675 ms	19028 KB	Output is correct

Subtask #16
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	387 ms	22356 KB	Output is correct
2	Correct	299 ms	22232 KB	Output is correct
3	Correct	289 ms	22176 KB	Output is correct
4	Correct	944 ms	22380 KB	Output is correct
5	Correct	674 ms	22352 KB	Output is correct

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	332 ms	22264 KB	Output is correct
2	Correct	371 ms	22284 KB	Output is correct
3	Correct	256 ms	22356 KB	Output is correct
4	Correct	914 ms	22376 KB	Output is correct
5	Correct	781 ms	32508 KB	Output is correct

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	467 ms	25640 KB	Output is correct
2	Correct	346 ms	25408 KB	Output is correct
3	Correct	275 ms	25444 KB	Output is correct
4	Execution timed out	1027 ms	25424 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #19
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	391 ms	25320 KB	Output is correct
2	Correct	400 ms	25428 KB	Output is correct
3	Correct	268 ms	25376 KB	Output is correct
4	Execution timed out	1050 ms	25380 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	550 ms	31568 KB	Output is correct
2	Correct	370 ms	31832 KB	Output is correct
3	Correct	400 ms	31732 KB	Output is correct
4	Execution timed out	1041 ms	31700 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #21
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	469 ms	31568 KB	Output is correct
2	Correct	484 ms	31828 KB	Output is correct
3	Correct	350 ms	31572 KB	Output is correct
4	Execution timed out	1076 ms	31728 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Submission #1010107

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