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Submission #941297

# Submission time Handle Problem Language Result Execution time Memory
941297 2024-03-08T13:15:38 Z Kavelmydex Mobile (BOI12_mobile) C++17
65 / 100
 763 ms 30128 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#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 344 KB Output is correct
2 Correct 1 ms 344 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 0 ms 348 KB Output is correct
2 Correct 0 ms 348 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 2 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 2 ms 460 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 3 ms 600 KB Output is correct
3 Correct 3 ms 604 KB Output is correct
4 Correct 2 ms 720 KB Output is correct

Subtask #5
4.0 / 4.0

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

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 608 KB Output is correct
2 Correct 3 ms 744 KB Output is correct
3 Correct 3 ms 608 KB Output is correct
4 Correct 3 ms 604 KB Output is correct
5 Correct 2 ms 564 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 3292 KB Output is correct
2 Correct 40 ms 3284 KB Output is correct
3 Correct 29 ms 2008 KB Output is correct
4 Correct 28 ms 3284 KB Output is correct
5 Correct 18 ms 2012 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 28 ms 3032 KB Output is correct
2 Correct 29 ms 3288 KB Output is correct
3 Correct 32 ms 3288 KB Output is correct
4 Correct 29 ms 3288 KB Output is correct
5 Correct 32 ms 3540 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 3032 KB Output is correct
2 Correct 45 ms 3288 KB Output is correct
3 Correct 41 ms 3288 KB Output is correct
4 Correct 36 ms 3788 KB Output is correct
5 Correct 33 ms 3288 KB Output is correct

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 55 ms 3440 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 63 ms 3324 KB Output is correct
2 Correct 57 ms 3544 KB Output is correct
3 Correct 46 ms 3288 KB Output is correct
4 Correct 41 ms 3788 KB Output is correct
5 Correct 37 ms 3544 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 258 ms 11972 KB Output is correct
2 Incorrect 282 ms 14020 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 272 ms 13204 KB Output is correct
2 Correct 479 ms 12992 KB Output is correct
3 Correct 238 ms 13472 KB Output is correct
4 Correct 176 ms 14784 KB Output is correct
5 Correct 177 ms 14276 KB Output is correct

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 316 ms 21264 KB Output is correct
2 Incorrect 358 ms 23344 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 326 ms 23220 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 369 ms 21424 KB Output is correct
2 Incorrect 411 ms 23224 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 390 ms 21876 KB Output is correct
2 Correct 575 ms 22416 KB Output is correct
3 Correct 336 ms 22716 KB Output is correct
4 Correct 253 ms 24708 KB Output is correct
5 Correct 272 ms 23708 KB Output is correct

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 418 ms 21228 KB Output is correct
2 Incorrect 425 ms 23988 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 489 ms 24512 KB Output is correct
2 Correct 633 ms 23480 KB Output is correct
3 Correct 376 ms 25016 KB Output is correct
4 Correct 290 ms 30128 KB Output is correct
5 Correct 288 ms 25016 KB Output is correct

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 524 ms 22504 KB Output is correct
2 Incorrect 531 ms 25216 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 560 ms 25060 KB Output is correct
2 Correct 763 ms 24500 KB Output is correct
3 Correct 469 ms 25196 KB Output is correct
4 Correct 382 ms 27568 KB Output is correct
5 Correct 369 ms 26036 KB Output is correct