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Submission #932342

# Submission time Handle Problem Language Result Execution time Memory
932342 2024-02-23T08:28:28 Z HuyAT Mobile (BOI12_mobile) C++14
4 / 100
 1000 ms 31632 KB 
#include<bits/stdc++.h>

const int MaxN = 1e6 + 10;
const long double Eps = 1e-6;
const long double MaxV = 1e18;

int n;
long double length,x[MaxN + 1],y[MaxN + 1];

void readData(){
    std::cin >> n >> length;
    for(int i = 1;i <= n;++i){
        std::cin >> x[i] >> y[i];
    }
}
bool f(long double mid){
    long double l = 1e10,r = 1e10;
    bool found = false;

    for(int i = 1;i <= n;++i){
        if(mid < y[i]){
            continue;
        }
        long double distance = sqrt(mid * mid - y[i] * y[i]);
        if(!found){
            found = true;
            l = x[i] - distance;
            r = x[i] + distance;
        }else{
            if(r >= x[i] - distance){
                l = std::min(l,x[i] - distance);
                r = std::max(r,x[i] + distance);
            }
        }
    }
    return (l <= 0 && r >= length);
}
long double solve(long double lo,long double hi){
    while(hi - lo > Eps){
        long double mid = (lo + hi) / 2;
        if(f(mid)){
            hi = mid;
        }else{
            lo = mid;
        }
//        std::cerr << mid << "\n";
    }
    return hi;
}
int main(){
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);std::cout.tie(nullptr);
    readData();
    std::cout << std::fixed << std::setprecision(8) << solve(0,MaxV * 2);
    return 0;
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Incorrect 1 ms 2396 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #2
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 2396 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 3 ms 2396 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2396 KB Output is correct
2 Correct 6 ms 2392 KB Output is correct
3 Correct 6 ms 2600 KB Output is correct
4 Correct 8 ms 2396 KB Output is correct

Subtask #5
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 7 ms 2392 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2392 KB Output is correct
2 Correct 8 ms 2396 KB Output is correct
3 Correct 6 ms 2396 KB Output is correct
4 Incorrect 7 ms 2396 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #7
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 77 ms 6736 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #8
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 97 ms 6744 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #9
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 108 ms 7004 KB Output is correct
2 Correct 94 ms 6804 KB Output is correct
3 Correct 88 ms 6748 KB Output is correct
4 Incorrect 144 ms 6784 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 6996 KB Output is correct
2 Correct 114 ms 6540 KB Output is correct
3 Correct 108 ms 6744 KB Output is correct
4 Incorrect 139 ms 6788 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #11
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 7004 KB Output is correct
2 Correct 116 ms 6792 KB Output is correct
3 Correct 105 ms 6748 KB Output is correct
4 Incorrect 146 ms 6544 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 559 ms 19104 KB Output is correct
2 Correct 598 ms 19100 KB Output is correct
3 Correct 678 ms 19076 KB Output is correct
4 Incorrect 776 ms 19024 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 589 ms 19284 KB Output is correct
2 Incorrect 583 ms 19352 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 662 ms 23204 KB Output is correct
2 Correct 688 ms 23452 KB Output is correct
3 Correct 697 ms 23376 KB Output is correct
4 Incorrect 666 ms 23176 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 692 ms 23204 KB Output is correct
2 Correct 626 ms 23120 KB Output is correct
3 Correct 622 ms 23204 KB Output is correct
4 Incorrect 850 ms 23204 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 774 ms 25256 KB Output is correct
2 Correct 820 ms 25172 KB Output is correct
3 Correct 826 ms 25256 KB Output is correct
4 Execution timed out 1006 ms 25428 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 815 ms 25508 KB Output is correct
2 Correct 734 ms 25472 KB Output is correct
3 Correct 741 ms 25428 KB Output is correct
4 Incorrect 957 ms 25260 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 913 ms 29364 KB Output is correct
2 Correct 922 ms 29364 KB Output is correct
3 Correct 915 ms 29364 KB Output is correct
4 Execution timed out 1070 ms 29268 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 932 ms 29608 KB Output is correct
2 Incorrect 813 ms 29520 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1049 ms 31632 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1066 ms 31572 KB Time limit exceeded
2 Halted 0 ms 0 KB -