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Submission #941586

# Submission time Handle Problem Language Result Execution time Memory
941586 2024-03-09T07:45:57 Z Kavelmydex Mobile (BOI12_mobile) C++17
100 / 100
 652 ms 35760 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
// #define double long double
#define ld 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 ok(ld m){
    ld mn = 2e9, mx = -2e9, z = 0;
    For(i,n){
        auto [x,y] = v[i];
        if(y*y > m*m) continue;
        ld d = sqrt(m * m - y * y);
        // cout << setprecision(20) << m << sp;
        // cout << y << endl;
        // cout << setprecision(20) << d << endl;
        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});
    }
    ld l = 0, r = 2236067977;
    For(i,60){
        ld m = (l+r)/2;
        if(ok(m)) r = m;
        else l = m;
    }
    cout << setprecision(20) << r << endl;
    return 0;
}

Subtask #1
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 #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 600 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 3 ms 348 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 856 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 1 ms 604 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 604 KB Output is correct
2 Correct 2 ms 600 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 856 KB Output is correct
2 Correct 2 ms 604 KB Output is correct
3 Correct 3 ms 604 KB Output is correct
4 Correct 3 ms 604 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 38 ms 2520 KB Output is correct
2 Correct 24 ms 2516 KB Output is correct
3 Correct 14 ms 1500 KB Output is correct
4 Correct 18 ms 2520 KB Output is correct
5 Correct 9 ms 1500 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 2520 KB Output is correct
2 Correct 18 ms 2784 KB Output is correct
3 Correct 25 ms 2520 KB Output is correct
4 Correct 20 ms 2520 KB Output is correct
5 Correct 23 ms 2544 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 49 ms 2520 KB Output is correct
2 Correct 25 ms 3800 KB Output is correct
3 Correct 25 ms 3544 KB Output is correct
4 Correct 29 ms 4056 KB Output is correct
5 Correct 18 ms 3288 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 2520 KB Output is correct
2 Correct 33 ms 3544 KB Output is correct
3 Correct 27 ms 3288 KB Output is correct
4 Correct 27 ms 4068 KB Output is correct
5 Correct 22 ms 3504 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 2520 KB Output is correct
2 Correct 31 ms 3544 KB Output is correct
3 Correct 25 ms 3664 KB Output is correct
4 Correct 34 ms 4336 KB Output is correct
5 Correct 22 ms 3544 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 305 ms 8908 KB Output is correct
2 Correct 150 ms 16048 KB Output is correct
3 Correct 157 ms 15544 KB Output is correct
4 Correct 128 ms 17848 KB Output is correct
5 Correct 105 ms 14996 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 181 ms 10292 KB Output is correct
2 Correct 315 ms 15004 KB Output is correct
3 Correct 142 ms 14008 KB Output is correct
4 Correct 129 ms 17648 KB Output is correct
5 Correct 111 ms 15488 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 400 ms 17340 KB Output is correct
2 Correct 219 ms 27068 KB Output is correct
3 Correct 158 ms 25780 KB Output is correct
4 Correct 152 ms 28084 KB Output is correct
5 Correct 130 ms 24500 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 212 ms 17712 KB Output is correct
2 Correct 397 ms 23904 KB Output is correct
3 Correct 170 ms 23476 KB Output is correct
4 Correct 159 ms 27352 KB Output is correct
5 Correct 128 ms 25240 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 432 ms 16996 KB Output is correct
2 Correct 237 ms 26556 KB Output is correct
3 Correct 276 ms 25016 KB Output is correct
4 Correct 195 ms 27492 KB Output is correct
5 Correct 144 ms 23732 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 227 ms 18256 KB Output is correct
2 Correct 413 ms 25000 KB Output is correct
3 Correct 182 ms 23476 KB Output is correct
4 Correct 176 ms 27144 KB Output is correct
5 Correct 170 ms 25552 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 502 ms 17396 KB Output is correct
2 Correct 262 ms 26020 KB Output is correct
3 Correct 262 ms 25820 KB Output is correct
4 Correct 214 ms 29444 KB Output is correct
5 Correct 183 ms 25308 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 288 ms 18964 KB Output is correct
2 Correct 430 ms 24724 KB Output is correct
3 Correct 229 ms 23732 KB Output is correct
4 Correct 205 ms 29544 KB Output is correct
5 Correct 174 ms 26804 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 652 ms 19344 KB Output is correct
2 Correct 267 ms 31660 KB Output is correct
3 Correct 315 ms 30712 KB Output is correct
4 Correct 260 ms 35760 KB Output is correct
5 Correct 245 ms 29612 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 368 ms 17280 KB Output is correct
2 Correct 560 ms 29352 KB Output is correct
3 Correct 288 ms 28336 KB Output is correct
4 Correct 272 ms 35552 KB Output is correct
5 Correct 221 ms 30920 KB Output is correct