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Submission #941329

# Submission time Handle Problem Language Result Execution time Memory
941329 2024-03-08T14:23:13 Z Kavelmydex Mobile (BOI12_mobile) C++17
65 / 100
 758 ms 26252 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 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});
    }
    double l = 0, r = 3e9;
    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 0 ms 344 KB Output is correct
2 Correct 0 ms 456 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 344 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 1 ms 348 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 1 ms 460 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 2 ms 600 KB Output is correct
2 Correct 3 ms 604 KB Output is correct
3 Correct 2 ms 468 KB Output is correct
4 Correct 2 ms 604 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 2 ms 604 KB Output is correct
4 Correct 2 ms 604 KB Output is correct

Subtask #6
5.0 / 5.0

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

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 3540 KB Output is correct
2 Correct 36 ms 3540 KB Output is correct
3 Correct 22 ms 2008 KB Output is correct
4 Correct 24 ms 3540 KB Output is correct
5 Correct 16 ms 2012 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 3032 KB Output is correct
2 Correct 23 ms 3288 KB Output is correct
3 Correct 29 ms 3544 KB Output is correct
4 Correct 25 ms 3544 KB Output is correct
5 Correct 27 ms 3544 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 3032 KB Output is correct
2 Correct 40 ms 3540 KB Output is correct
3 Correct 34 ms 3284 KB Output is correct
4 Correct 34 ms 3796 KB Output is correct
5 Correct 28 ms 3284 KB Output is correct

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 51 ms 3380 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 49 ms 3284 KB Output is correct
2 Correct 48 ms 3544 KB Output is correct
3 Correct 41 ms 3540 KB Output is correct
4 Correct 36 ms 3792 KB Output is correct
5 Correct 32 ms 3288 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 230 ms 11676 KB Output is correct
2 Incorrect 252 ms 13864 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 243 ms 13236 KB Output is correct
2 Correct 462 ms 13008 KB Output is correct
3 Correct 202 ms 12484 KB Output is correct
4 Correct 149 ms 13548 KB Output is correct
5 Correct 148 ms 14004 KB Output is correct

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 282 ms 20148 KB Output is correct
2 Incorrect 303 ms 23500 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 282 ms 22964 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 328 ms 21444 KB Output is correct
2 Incorrect 330 ms 23932 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 333 ms 23480 KB Output is correct
2 Correct 558 ms 23224 KB Output is correct
3 Correct 278 ms 21172 KB Output is correct
4 Correct 212 ms 23904 KB Output is correct
5 Correct 219 ms 22800 KB Output is correct

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 382 ms 20512 KB Output is correct
2 Incorrect 372 ms 23220 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 403 ms 24500 KB Output is correct
2 Correct 613 ms 23220 KB Output is correct
3 Correct 320 ms 21172 KB Output is correct
4 Correct 263 ms 23988 KB Output is correct
5 Correct 235 ms 21944 KB Output is correct

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 474 ms 22204 KB Output is correct
2 Incorrect 470 ms 25652 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 498 ms 25536 KB Output is correct
2 Correct 758 ms 23212 KB Output is correct
3 Correct 399 ms 22864 KB Output is correct
4 Correct 311 ms 26252 KB Output is correct
5 Correct 301 ms 24756 KB Output is correct