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Submission #941385

# Submission time Handle Problem Language Result Execution time Memory
941385 2024-03-08T16:27:23 Z Kavelmydex Mobile (BOI12_mobile) C++17
65 / 100
 401 ms 27040 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 <= x+d){
            z = x+d;
        }   
        if(x-d < mn) mn = x-d;
        if(mx < x+d) mx = x+d;    
        if(mn <= 0 && L <= mx && z >= L) return 1;
    }
    return 0;
}
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 = 1e10;
    For(i,60){
        double m = (l+r)/2;
        if(ok(m)) 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 348 KB Output is correct
2 Correct 1 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 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 600 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 1 ms 464 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 1 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 2 ms 600 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 1 ms 600 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 2 ms 604 KB Output is correct
2 Correct 2 ms 636 KB Output is correct
3 Correct 1 ms 600 KB Output is correct
4 Correct 2 ms 600 KB Output is correct
5 Correct 1 ms 604 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 3288 KB Output is correct
2 Correct 19 ms 3556 KB Output is correct
3 Correct 12 ms 2012 KB Output is correct
4 Correct 21 ms 3556 KB Output is correct
5 Correct 8 ms 2008 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 3004 KB Output is correct
2 Correct 14 ms 3224 KB Output is correct
3 Correct 17 ms 3284 KB Output is correct
4 Correct 22 ms 3428 KB Output is correct
5 Correct 21 ms 3560 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 3028 KB Output is correct
2 Correct 18 ms 3540 KB Output is correct
3 Correct 19 ms 3356 KB Output is correct
4 Correct 26 ms 3796 KB Output is correct
5 Correct 24 ms 3336 KB Output is correct

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 28 ms 3264 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 38 ms 3264 KB Output is correct
2 Correct 22 ms 3544 KB Output is correct
3 Correct 21 ms 3288 KB Output is correct
4 Correct 35 ms 3532 KB Output is correct
5 Correct 21 ms 3540 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 237 ms 11776 KB Output is correct
2 Incorrect 121 ms 12900 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 115 ms 12864 KB Output is correct
2 Correct 241 ms 13000 KB Output is correct
3 Correct 104 ms 12932 KB Output is correct
4 Correct 136 ms 13732 KB Output is correct
5 Correct 111 ms 13116 KB Output is correct

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 228 ms 21424 KB Output is correct
2 Incorrect 152 ms 22200 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 151 ms 22968 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 257 ms 21768 KB Output is correct
2 Incorrect 162 ms 23372 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 185 ms 23868 KB Output is correct
2 Correct 299 ms 21492 KB Output is correct
3 Correct 153 ms 22196 KB Output is correct
4 Correct 171 ms 23464 KB Output is correct
5 Correct 200 ms 22320 KB Output is correct

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 281 ms 21176 KB Output is correct
2 Incorrect 191 ms 23448 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 187 ms 22700 KB Output is correct
2 Correct 353 ms 21812 KB Output is correct
3 Correct 172 ms 22708 KB Output is correct
4 Correct 219 ms 27040 KB Output is correct
5 Correct 174 ms 25016 KB Output is correct

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 358 ms 21600 KB Output is correct
2 Incorrect 238 ms 25092 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 247 ms 25140 KB Output is correct
2 Correct 401 ms 23688 KB Output is correct
3 Correct 227 ms 23352 KB Output is correct
4 Correct 284 ms 26588 KB Output is correct
5 Correct 234 ms 25288 KB Output is correct