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Submission #973220

# Submission time Handle Problem Language Result Execution time Memory
973220 2024-05-01T16:18:16 Z HuyAT Mobile (BOI12_mobile) C++14
80 / 100
 1000 ms 31828 KB 
#include<bits/stdc++.h>

const int MaxN = 1e6 + 10;
const long double Eps = 1e-5;
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 2 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 2392 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 2648 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2548 KB Output is correct
2 Correct 4 ms 2396 KB Output is correct
3 Correct 3 ms 2392 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 2392 KB Output is correct
3 Correct 5 ms 2396 KB Output is correct
4 Correct 6 ms 2396 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2392 KB Output is correct
2 Correct 6 ms 2392 KB Output is correct
3 Correct 5 ms 2396 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 6 ms 2396 KB Output is correct
2 Correct 6 ms 2396 KB Output is correct
3 Correct 5 ms 2556 KB Output is correct
4 Correct 7 ms 2604 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 75 ms 6792 KB Output is correct
2 Correct 78 ms 6732 KB Output is correct
3 Correct 52 ms 4740 KB Output is correct
4 Correct 96 ms 6740 KB Output is correct
5 Correct 52 ms 4744 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 85 ms 6744 KB Output is correct
2 Correct 87 ms 6748 KB Output is correct
3 Correct 101 ms 6748 KB Output is correct
4 Correct 100 ms 7004 KB Output is correct
5 Correct 113 ms 6792 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 100 ms 6788 KB Output is correct
2 Correct 87 ms 6748 KB Output is correct
3 Correct 80 ms 6792 KB Output is correct
4 Correct 132 ms 6788 KB Output is correct
5 Correct 112 ms 6744 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 103 ms 6544 KB Output is correct
2 Correct 109 ms 6740 KB Output is correct
3 Correct 96 ms 6744 KB Output is correct
4 Correct 139 ms 6796 KB Output is correct
5 Correct 127 ms 6740 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 6792 KB Output is correct
2 Correct 102 ms 6808 KB Output is correct
3 Correct 100 ms 6748 KB Output is correct
4 Correct 133 ms 6792 KB Output is correct
5 Correct 129 ms 6548 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 553 ms 19332 KB Output is correct
2 Correct 525 ms 19028 KB Output is correct
3 Correct 555 ms 19084 KB Output is correct
4 Correct 668 ms 19100 KB Output is correct
5 Correct 626 ms 19328 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 527 ms 19088 KB Output is correct
2 Correct 516 ms 19100 KB Output is correct
3 Correct 487 ms 19100 KB Output is correct
4 Correct 662 ms 19028 KB Output is correct
5 Correct 676 ms 19096 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 674 ms 23180 KB Output is correct
2 Correct 620 ms 23124 KB Output is correct
3 Correct 620 ms 23380 KB Output is correct
4 Correct 808 ms 23208 KB Output is correct
5 Correct 761 ms 23444 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 646 ms 23436 KB Output is correct
2 Correct 615 ms 23380 KB Output is correct
3 Correct 586 ms 23208 KB Output is correct
4 Correct 792 ms 23380 KB Output is correct
5 Correct 759 ms 23208 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 786 ms 25256 KB Output is correct
2 Correct 720 ms 25260 KB Output is correct
3 Correct 731 ms 25260 KB Output is correct
4 Correct 971 ms 25216 KB Output is correct
5 Correct 875 ms 25424 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 771 ms 25236 KB Output is correct
2 Correct 705 ms 25492 KB Output is correct
3 Correct 695 ms 25172 KB Output is correct
4 Correct 945 ms 25252 KB Output is correct
5 Correct 934 ms 25504 KB Output is correct

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 888 ms 29520 KB Output is correct
2 Correct 850 ms 29572 KB Output is correct
3 Correct 839 ms 29524 KB Output is correct
4 Execution timed out 1006 ms 29552 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 838 ms 29268 KB Output is correct
2 Correct 789 ms 29324 KB Output is correct
3 Correct 803 ms 29268 KB Output is correct
4 Execution timed out 1034 ms 29344 KB Time limit exceeded
5 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1053 ms 31568 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 1030 ms 31828 KB Time limit exceeded
2 Halted 0 ms 0 KB -