Submission #941303

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
941303	2024-03-08T13:22:05 Z	Kavelmydex	Mobile (BOI12_mobile)	C++17	60 / 100	1000 ms	24240 KB

mobile

#include <bits/stdc++.h>
using namespace std;
#define int long long
#define double long double
#define pi pair<int,int>
#define vi vector<int>
#define rep(i,x,n) for(int i=x; i<n; ++i)
#define For(i,n) rep(i,0,n)
#define pb push_back
#define endl "\n"
#define sp ' '
#define f first
#define s second
#define sz size()
#define all(x) (x).begin(),(x).end()

const int N = 3e5+10, OO = 1e18, mod = 1e9+7;
void tr(int a, int b){cout << a << sp << b << endl;}
void cmx(int &a, int b){a = max(a,b);}
void cmn(int &a, int b){a = min(a,b);}

vector <pi> v;
int n,L;
bool cmp(const pi &a, const pi &b){
    return (a.f==b.f ? abs(a.s) < abs(b.s): a.f < b.f);
}
bool ok(double m){
    double mn = -2e9, mx = 2e9, z = 0;
    For(i,n){
        auto [x,y] = v[i];
        if(y*y > m*m) continue;
        double d = sqrt(m * m - y * y);
        if(x-d <= z){
            z = max(z,x+d);   
        }   
        if(x-d < mn) mn = x-d;
        if(mx < x+d) mx = x+d;   
    }
    return (mn <= 0 && L <= mx && z >= L);
}
int32_t main() {
    ios::sync_with_stdio(0); cin.tie(0);
    cin >> n >> L;
    For(i,n){
        int x,y; cin >> x >> y;
        v.pb({x,y});
    }
    sort(all(v),cmp);
    double l = 0, r = 1e12;
    For(i,100){
        double m = (l+r)/2;
        bool b = ok(m);
        if(b) r = m;
        else l = m;
    }
    cout << setprecision(10) << r << endl;
    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	392 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	3 ms	348 KB	Output is correct
3	Correct	2 ms	348 KB	Output is correct
4	Correct	3 ms	560 KB	Output is correct

Subtask #4
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	600 KB	Output is correct
2	Correct	5 ms	604 KB	Output is correct
3	Correct	4 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	664 KB	Output is correct
2	Correct	5 ms	604 KB	Output is correct
3	Correct	4 ms	604 KB	Output is correct
4	Correct	4 ms	604 KB	Output is correct

Subtask #6
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	604 KB	Output is correct
2	Correct	6 ms	676 KB	Output is correct
3	Correct	5 ms	876 KB	Output is correct
4	Correct	3 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	76 ms	2528 KB	Output is correct
2	Correct	83 ms	2516 KB	Output is correct
3	Correct	43 ms	1500 KB	Output is correct
4	Correct	37 ms	2516 KB	Output is correct
5	Correct	27 ms	1500 KB	Output is correct

Subtask #8
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	46 ms	2520 KB	Output is correct
2	Correct	37 ms	2520 KB	Output is correct
3	Correct	41 ms	2520 KB	Output is correct
4	Correct	43 ms	2520 KB	Output is correct
5	Correct	47 ms	2520 KB	Output is correct

Subtask #9
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	83 ms	2520 KB	Output is correct
2	Correct	83 ms	2816 KB	Output is correct
3	Correct	66 ms	2520 KB	Output is correct
4	Correct	46 ms	2520 KB	Output is correct
5	Correct	46 ms	2520 KB	Output is correct

Subtask #10
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	95 ms	2520 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #11
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	106 ms	2576 KB	Output is correct
2	Correct	99 ms	2520 KB	Output is correct
3	Correct	77 ms	2516 KB	Output is correct
4	Correct	49 ms	2520 KB	Output is correct
5	Correct	58 ms	2520 KB	Output is correct

Subtask #12
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	481 ms	9152 KB	Output is correct
2	Incorrect	480 ms	8884 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #13
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	491 ms	9404 KB	Output is correct
2	Correct	610 ms	10180 KB	Output is correct
3	Correct	402 ms	9680 KB	Output is correct
4	Correct	227 ms	9668 KB	Output is correct
5	Correct	237 ms	10384 KB	Output is correct

Subtask #14
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	576 ms	18356 KB	Output is correct
2	Incorrect	575 ms	17340 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #15
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	578 ms	18608 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #16
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	672 ms	18352 KB	Output is correct
2	Incorrect	649 ms	18236 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #17
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	656 ms	18616 KB	Output is correct
2	Correct	753 ms	17596 KB	Output is correct
3	Correct	569 ms	17848 KB	Output is correct
4	Correct	322 ms	17588 KB	Output is correct
5	Correct	337 ms	18360 KB	Output is correct

Subtask #18
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	770 ms	18600 KB	Output is correct
2	Incorrect	757 ms	18356 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #19
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	777 ms	18360 KB	Output is correct
2	Correct	822 ms	18364 KB	Output is correct
3	Correct	648 ms	17080 KB	Output is correct
4	Correct	364 ms	18616 KB	Output is correct
5	Correct	411 ms	18800 KB	Output is correct

Subtask #20
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	956 ms	18616 KB	Output is correct
2	Incorrect	955 ms	24240 KB	Output isn't correct
3	Halted	0 ms	0 KB	-

Subtask #21
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	927 ms	17420 KB	Output is correct
2	Execution timed out	1006 ms	17076 KB	Time limit exceeded
3	Halted	0 ms	0 KB	-

Submission #941303

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