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Submission #973221

# Submission time Handle Problem Language Result Execution time Memory
973221 2024-05-01T16:19:28 Z HuyAT Mobile (BOI12_mobile) C++14
90 / 100
 1000 ms 32256 KB 
#include<bits/stdc++.h>

const int MaxN = 1e6 + 10;
const long double Eps = 1e-3;
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 2396 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 2648 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 6 ms 2396 KB Output is correct
2 Correct 5 ms 2396 KB Output is correct
3 Correct 5 ms 2392 KB Output is correct
4 Correct 6 ms 2608 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2396 KB Output is correct
2 Correct 6 ms 2396 KB Output is correct
3 Correct 5 ms 2604 KB Output is correct
4 Correct 6 ms 2396 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 2392 KB Output is correct
2 Correct 6 ms 2396 KB Output is correct
3 Correct 5 ms 2396 KB Output is correct
4 Correct 6 ms 2600 KB Output is correct
5 Correct 6 ms 2396 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 6812 KB Output is correct
2 Correct 76 ms 6748 KB Output is correct
3 Correct 50 ms 4700 KB Output is correct
4 Correct 89 ms 6748 KB Output is correct
5 Correct 50 ms 4696 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 6792 KB Output is correct
2 Correct 80 ms 6744 KB Output is correct
3 Correct 93 ms 6788 KB Output is correct
4 Correct 93 ms 6736 KB Output is correct
5 Correct 104 ms 6792 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 91 ms 6736 KB Output is correct
2 Correct 79 ms 6800 KB Output is correct
3 Correct 79 ms 6740 KB Output is correct
4 Correct 129 ms 6544 KB Output is correct
5 Correct 96 ms 6788 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 97 ms 6788 KB Output is correct
2 Correct 98 ms 7000 KB Output is correct
3 Correct 92 ms 6784 KB Output is correct
4 Correct 123 ms 6788 KB Output is correct
5 Correct 118 ms 6788 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 99 ms 6748 KB Output is correct
2 Correct 98 ms 6544 KB Output is correct
3 Correct 92 ms 6808 KB Output is correct
4 Correct 133 ms 6788 KB Output is correct
5 Correct 115 ms 6796 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 520 ms 19104 KB Output is correct
2 Correct 483 ms 19028 KB Output is correct
3 Correct 500 ms 19104 KB Output is correct
4 Correct 630 ms 19104 KB Output is correct
5 Correct 591 ms 19096 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 511 ms 19088 KB Output is correct
2 Correct 532 ms 19080 KB Output is correct
3 Correct 454 ms 19100 KB Output is correct
4 Correct 621 ms 19100 KB Output is correct
5 Correct 592 ms 19100 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 644 ms 23212 KB Output is correct
2 Correct 590 ms 23456 KB Output is correct
3 Correct 581 ms 23208 KB Output is correct
4 Correct 752 ms 23200 KB Output is correct
5 Correct 692 ms 23208 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 625 ms 23204 KB Output is correct
2 Correct 586 ms 23428 KB Output is correct
3 Correct 561 ms 23124 KB Output is correct
4 Correct 741 ms 23444 KB Output is correct
5 Correct 708 ms 23428 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 731 ms 25256 KB Output is correct
2 Correct 688 ms 25252 KB Output is correct
3 Correct 714 ms 25504 KB Output is correct
4 Correct 871 ms 25480 KB Output is correct
5 Correct 797 ms 25256 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 728 ms 25244 KB Output is correct
2 Correct 669 ms 25256 KB Output is correct
3 Correct 676 ms 25480 KB Output is correct
4 Correct 894 ms 25256 KB Output is correct
5 Correct 829 ms 25260 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 844 ms 29604 KB Output is correct
2 Correct 789 ms 29360 KB Output is correct
3 Correct 791 ms 29364 KB Output is correct
4 Correct 991 ms 29360 KB Output is correct
5 Correct 938 ms 29364 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 800 ms 29520 KB Output is correct
2 Correct 749 ms 29356 KB Output is correct
3 Correct 744 ms 29520 KB Output is correct
4 Correct 983 ms 29360 KB Output is correct
5 Correct 970 ms 29364 KB Output is correct

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1026 ms 32256 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 1036 ms 31760 KB Time limit exceeded
2 Halted 0 ms 0 KB -