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Submission #941300

# Submission time Handle Problem Language Result Execution time Memory
941300 2024-03-08T13:20:15 Z Kavelmydex Mobile (BOI12_mobile) C++17
60 / 100
 1000 ms 26552 KB 
#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 = OO, mx = -OO, 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 = 1e10;
    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 Execution time Memory Grader output
1 Correct 1 ms 460 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 456 KB Output is correct
3 Correct 1 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 2 ms 348 KB Output is correct
2 Correct 3 ms 464 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 3 ms 596 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 5 ms 604 KB Output is correct
3 Correct 4 ms 596 KB Output is correct
4 Correct 4 ms 604 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 720 KB Output is correct
2 Correct 7 ms 604 KB Output is correct
3 Correct 4 ms 464 KB Output is correct
4 Correct 3 ms 724 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 600 KB Output is correct
2 Correct 5 ms 860 KB Output is correct
3 Correct 4 ms 708 KB Output is correct
4 Correct 4 ms 604 KB Output is correct
5 Correct 4 ms 608 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 3292 KB Output is correct
2 Correct 72 ms 3284 KB Output is correct
3 Correct 43 ms 2012 KB Output is correct
4 Correct 34 ms 3548 KB Output is correct
5 Correct 25 ms 2012 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 3292 KB Output is correct
2 Correct 34 ms 3032 KB Output is correct
3 Correct 43 ms 3288 KB Output is correct
4 Correct 36 ms 3544 KB Output is correct
5 Correct 38 ms 3540 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 3288 KB Output is correct
2 Correct 78 ms 3284 KB Output is correct
3 Correct 70 ms 3032 KB Output is correct
4 Correct 42 ms 3544 KB Output is correct
5 Correct 52 ms 3032 KB Output is correct

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 97 ms 3544 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 97 ms 3544 KB Output is correct
2 Correct 102 ms 3540 KB Output is correct
3 Correct 81 ms 3208 KB Output is correct
4 Correct 44 ms 3540 KB Output is correct
5 Correct 53 ms 3288 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 481 ms 11188 KB Output is correct
2 Incorrect 501 ms 12824 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 512 ms 13592 KB Output is correct
2 Correct 620 ms 12200 KB Output is correct
3 Correct 390 ms 11564 KB Output is correct
4 Correct 211 ms 13492 KB Output is correct
5 Correct 236 ms 12440 KB Output is correct

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 594 ms 19552 KB Output is correct
2 Incorrect 603 ms 22848 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 596 ms 22588 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 680 ms 19800 KB Output is correct
2 Incorrect 683 ms 22456 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 659 ms 23304 KB Output is correct
2 Correct 747 ms 22708 KB Output is correct
3 Correct 602 ms 21176 KB Output is correct
4 Correct 303 ms 23316 KB Output is correct
5 Correct 325 ms 21172 KB Output is correct

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 798 ms 21176 KB Output is correct
2 Incorrect 784 ms 21716 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 774 ms 21620 KB Output is correct
2 Correct 844 ms 21440 KB Output is correct
3 Correct 642 ms 23736 KB Output is correct
4 Correct 366 ms 26552 KB Output is correct
5 Correct 377 ms 24344 KB Output is correct

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1010 ms 21428 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 955 ms 24816 KB Output is correct
2 Execution timed out 1004 ms 22960 KB Time limit exceeded
3 Halted 0 ms 0 KB -