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Submission #973218

# Submission time Handle Problem Language Result Execution time Memory
973218 2024-05-01T16:17:28 Z HuyAT Mobile (BOI12_mobile) C++14
45 / 100
 1000 ms 31660 KB 
#include<bits/stdc++.h>

const int MaxN = 1e6 + 10;
const long double Eps = 1e-12;
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 = 0,r = 0;

    for(int i = 1;i <= n;++i){
        if(mid < y[i]){
            continue;
        }
        long double distance = sqrt(mid * mid - y[i] * y[i]);
        if(x[i] - distance <= r && x[i] + distance >= l){
            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
4.0 / 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 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct

Subtask #2
4.0 / 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 Correct 1 ms 2396 KB Output is correct

Subtask #3
4.0 / 4.0

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

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2396 KB Output is correct
2 Correct 8 ms 2648 KB Output is correct
3 Correct 6 ms 2396 KB Output is correct
4 Correct 8 ms 2396 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 2396 KB Output is correct
2 Correct 7 ms 2604 KB Output is correct
3 Correct 6 ms 2396 KB Output is correct
4 Correct 8 ms 2396 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2396 KB Output is correct
2 Correct 9 ms 2396 KB Output is correct
3 Correct 6 ms 2396 KB Output is correct
4 Correct 8 ms 2396 KB Output is correct
5 Correct 7 ms 2648 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 91 ms 6996 KB Output is correct
2 Correct 96 ms 6736 KB Output is correct
3 Correct 60 ms 4740 KB Output is correct
4 Correct 121 ms 6792 KB Output is correct
5 Correct 61 ms 4700 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 6788 KB Output is correct
2 Correct 111 ms 6788 KB Output is correct
3 Correct 129 ms 6784 KB Output is correct
4 Correct 125 ms 6736 KB Output is correct
5 Correct 138 ms 6792 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 118 ms 6748 KB Output is correct
2 Correct 100 ms 6804 KB Output is correct
3 Correct 93 ms 6788 KB Output is correct
4 Correct 162 ms 6744 KB Output is correct
5 Correct 126 ms 6788 KB Output is correct

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1020 ms 6736 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 125 ms 6788 KB Output is correct
2 Correct 121 ms 6808 KB Output is correct
3 Correct 110 ms 6748 KB Output is correct
4 Correct 165 ms 6784 KB Output is correct
5 Correct 157 ms 6796 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1010 ms 19100 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1040 ms 19092 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1050 ms 23200 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1048 ms 23380 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1038 ms 25244 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1051 ms 25248 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1020 ms 29344 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1008 ms 29344 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1041 ms 31660 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 1002 ms 31640 KB Time limit exceeded
2 Halted 0 ms 0 KB -