Submission #920755

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
920755	2024-02-03T02:33:50 Z	ethanv13	Mobile (BOI12_mobile)	C++17	70 / 100	1000 ms	28244 KB

mobile

#include <bits/stdc++.h>
using namespace std;
int main() {
    long long n,l;cin>>n>>l;
    vector<pair<long long,long long>>a(n);
    for(int i=0;i<n;++i){
        cin>>a[i].first>>a[i].second;
    }
    long double lo=0;
    long double hi=4e9;
    long double delta=1e-5;
    while(hi-lo>delta){
        long double mid=(lo+hi)/2;
        long double curr=0;
        for(int i=0;i<n;++i){
            long double dist=sqrt(mid*mid-a[i].second*a[i].second);
            if(a[i].first-dist<=curr){curr=max(a[i].first+dist,curr);}
        }
        if(curr>=l){hi=mid;}else{lo=mid;}
    }
    cout<<fixed<<setprecision(5);
    cout<<lo<<endl;
}

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	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 #3
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	348 KB	Output is correct
2	Correct	2 ms	348 KB	Output is correct
3	Correct	2 ms	348 KB	Output is correct
4	Correct	2 ms	348 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	348 KB	Output is correct
2	Correct	3 ms	344 KB	Output is correct
3	Correct	4 ms	348 KB	Output is correct
4	Correct	7 ms	516 KB	Output is correct

Subtask #5
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	344 KB	Output is correct
2	Correct	3 ms	348 KB	Output is correct
3	Correct	3 ms	348 KB	Output is correct
4	Correct	7 ms	348 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	348 KB	Output is correct
2	Correct	3 ms	348 KB	Output is correct
3	Correct	3 ms	348 KB	Output is correct
4	Correct	7 ms	348 KB	Output is correct
5	Correct	5 ms	348 KB	Output is correct

Subtask #7
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	78 ms	1372 KB	Output is correct
2	Correct	49 ms	1624 KB	Output is correct
3	Correct	44 ms	1112 KB	Output is correct
4	Correct	102 ms	1368 KB	Output is correct
5	Correct	47 ms	1116 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	82 ms	1624 KB	Output is correct
2	Correct	80 ms	1372 KB	Output is correct
3	Correct	100 ms	1624 KB	Output is correct
4	Correct	105 ms	1660 KB	Output is correct
5	Correct	123 ms	1780 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	47 ms	1796 KB	Output is correct
2	Correct	53 ms	1708 KB	Output is correct
3	Correct	62 ms	1744 KB	Output is correct
4	Correct	153 ms	1884 KB	Output is correct
5	Correct	99 ms	1628 KB	Output is correct

Subtask #10
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	67 ms	1880 KB	Output is correct
2	Correct	64 ms	1884 KB	Output is correct
3	Correct	72 ms	1988 KB	Output is correct
4	Correct	155 ms	1880 KB	Output is correct
5	Correct	127 ms	2000 KB	Output is correct

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	68 ms	1884 KB	Output is correct
2	Correct	64 ms	1880 KB	Output is correct
3	Correct	72 ms	1988 KB	Output is correct
4	Correct	159 ms	1880 KB	Output is correct
5	Correct	121 ms	1884 KB	Output is correct

Subtask #12
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	275 ms	8248 KB	Output is correct
2	Correct	338 ms	8024 KB	Output is correct
3	Correct	321 ms	8028 KB	Output is correct
4	Correct	767 ms	8252 KB	Output is correct
5	Correct	628 ms	8272 KB	Output is correct

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	336 ms	8252 KB	Output is correct
2	Correct	572 ms	8264 KB	Output is correct
3	Correct	378 ms	8248 KB	Output is correct
4	Correct	754 ms	8272 KB	Output is correct
5	Correct	650 ms	8252 KB	Output is correct

Subtask #14
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	329 ms	10068 KB	Output is correct
2	Correct	399 ms	9816 KB	Output is correct
3	Correct	391 ms	9816 KB	Output is correct
4	Correct	934 ms	9820 KB	Output is correct
5	Correct	755 ms	18004 KB	Output is correct

Subtask #15
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	402 ms	9816 KB	Output is correct
2	Correct	678 ms	9816 KB	Output is correct
3	Correct	451 ms	10068 KB	Output is correct
4	Correct	931 ms	9820 KB	Output is correct
5	Correct	789 ms	18512 KB	Output is correct

Subtask #16
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	378 ms	11380 KB	Output is correct
2	Correct	465 ms	11356 KB	Output is correct
3	Correct	514 ms	11352 KB	Output is correct
4	Execution timed out	1077 ms	11356 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #17
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	467 ms	11376 KB	Output is correct
2	Correct	803 ms	11384 KB	Output is correct
3	Correct	531 ms	11384 KB	Output is correct
4	Execution timed out	1052 ms	11356 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	439 ms	12952 KB	Output is correct
2	Correct	532 ms	12948 KB	Output is correct
3	Correct	522 ms	12952 KB	Output is correct
4	Execution timed out	1101 ms	12888 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #19
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	549 ms	13140 KB	Output is correct
2	Correct	917 ms	12944 KB	Output is correct
3	Correct	605 ms	22616 KB	Output is correct
4	Execution timed out	1064 ms	28244 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	549 ms	16072 KB	Output is correct
2	Correct	672 ms	15964 KB	Output is correct
3	Correct	638 ms	16080 KB	Output is correct
4	Execution timed out	1051 ms	15964 KB	Time limit exceeded
5	Halted	0 ms	0 KB	-

Subtask #21
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	670 ms	16076 KB	Output is correct
2	Execution timed out	1050 ms	15960 KB	Time limit exceeded
3	Halted	0 ms	0 KB	-

Submission #920755

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