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Submission #593241

# Submission time Handle Problem Language Result Execution time Memory
593241 2022-07-10T15:54:55 Z hail Mobile (BOI12_mobile) C++17
65 / 100
 1000 ms 35328 KB 
#include <bits/stdc++.h>

using namespace std;

using pld = pair<double, double>;
using ld = double;

#define mp make_pair

int n;
ld l;
vector<pld> station;

pld intercept(pld coor, ld r)
{
    ld mid = pow(r, 2)-pow(coor.second, 2);
    if(mid<0) return mp(-1, -1);
    ld rt_mid = pow(mid , 0.5);
    return mp(coor.first-rt_mid, coor.first+rt_mid);
}

bool check_dist(ld r)
{
    pld ret_int;
    ld from_x=0;
    auto it=lower_bound(station.begin(), station.end(), mp(-r, -1e9));
    while(it!=station.end())
    {
        if((*it).first>from_x+r) return false;
        ret_int=intercept(*it, r);
        if(ret_int.first<=from_x && ret_int.second>from_x)
        {
            from_x=ret_int.second;
            if(from_x>=l) return true;
            it = upper_bound(it+1, station.end(), mp(from_x-r, 1e9));
        }
        else it++;
    }
    return false;
}


int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);

    cout<<setprecision(11);

    cin>>n>>l;
    station.resize(n);

    for(int i=0; i<n; i++)
    {
        cin>>station[i].first>>station[i].second;
    }

    ld high=2e9;
    ld low=0;
    ld mid;
    while(high-low>=1e-4)
    {
        mid=(high+low)/2;
        if(check_dist(mid)) high=mid;
        else low=mid;
    }

    cout<<high;

}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 320 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 320 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 5 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 4 ms 340 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 332 KB Output is correct
2 Correct 3 ms 340 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 3 ms 468 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 452 KB Output is correct
2 Correct 3 ms 468 KB Output is correct
3 Correct 3 ms 340 KB Output is correct
4 Correct 4 ms 468 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 340 KB Output is correct
2 Correct 3 ms 468 KB Output is correct
3 Correct 5 ms 340 KB Output is correct
4 Correct 3 ms 468 KB Output is correct
5 Correct 3 ms 340 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 2248 KB Output is correct
2 Correct 38 ms 2228 KB Output is correct
3 Correct 34 ms 1672 KB Output is correct
4 Correct 41 ms 2632 KB Output is correct
5 Correct 20 ms 1492 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 2184 KB Output is correct
2 Correct 33 ms 2140 KB Output is correct
3 Correct 40 ms 2288 KB Output is correct
4 Correct 45 ms 2244 KB Output is correct
5 Correct 51 ms 2368 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 160 ms 2320 KB Output is correct
2 Correct 40 ms 2368 KB Output is correct
3 Correct 50 ms 2396 KB Output is correct
4 Correct 60 ms 3788 KB Output is correct
5 Correct 43 ms 2588 KB Output is correct

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 49 ms 2764 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 127 ms 2664 KB Output is correct
2 Correct 50 ms 2564 KB Output is correct
3 Correct 66 ms 2584 KB Output is correct
4 Correct 64 ms 3796 KB Output is correct
5 Correct 51 ms 3028 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1055 ms 9036 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 265 ms 9860 KB Output is correct
2 Correct 437 ms 9232 KB Output is correct
3 Correct 314 ms 13904 KB Output is correct
4 Correct 290 ms 17488 KB Output is correct
5 Correct 252 ms 15444 KB Output is correct

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1030 ms 10796 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 297 ms 11468 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1033 ms 12100 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 356 ms 13080 KB Output is correct
2 Correct 577 ms 12220 KB Output is correct
3 Correct 444 ms 19576 KB Output is correct
4 Correct 449 ms 24572 KB Output is correct
5 Correct 352 ms 21388 KB Output is correct

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1010 ms 14252 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 388 ms 14608 KB Output is correct
2 Correct 697 ms 13796 KB Output is correct
3 Correct 504 ms 22348 KB Output is correct
4 Correct 488 ms 28212 KB Output is correct
5 Correct 406 ms 24396 KB Output is correct

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1089 ms 17712 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 501 ms 17600 KB Output is correct
2 Correct 853 ms 16956 KB Output is correct
3 Correct 631 ms 28256 KB Output is correct
4 Correct 584 ms 35328 KB Output is correct
5 Correct 511 ms 30708 KB Output is correct