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Submission #973225

# Submission time Handle Problem Language Result Execution time Memory
973225 2024-05-01T16:23:42 Z HuyAT Mobile (BOI12_mobile) C++14
100 / 100
 992 ms 31980 KB 
#include<bits/stdc++.h>

const int MaxN = 1e6 + 10;
const long double Eps = 1e-4;
const long double MaxV = 1e9;

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 2392 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 2392 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2392 KB Output is correct
2 Correct 2 ms 2392 KB Output is correct
3 Correct 2 ms 2396 KB Output is correct
4 Correct 2 ms 2528 KB Output is correct

Subtask #4
4.0 / 4.0

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

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 2396 KB Output is correct
2 Correct 4 ms 2396 KB Output is correct
3 Correct 4 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 4 ms 2396 KB Output is correct
2 Correct 4 ms 2392 KB Output is correct
3 Correct 4 ms 2648 KB Output is correct
4 Correct 5 ms 2396 KB Output is correct
5 Correct 4 ms 2396 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 51 ms 6748 KB Output is correct
2 Correct 53 ms 6748 KB Output is correct
3 Correct 35 ms 4696 KB Output is correct
4 Correct 69 ms 6748 KB Output is correct
5 Correct 36 ms 4696 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 59 ms 6748 KB Output is correct
2 Correct 74 ms 6740 KB Output is correct
3 Correct 73 ms 6780 KB Output is correct
4 Correct 74 ms 6740 KB Output is correct
5 Correct 93 ms 6548 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 6748 KB Output is correct
2 Correct 57 ms 6744 KB Output is correct
3 Correct 67 ms 6792 KB Output is correct
4 Correct 100 ms 6748 KB Output is correct
5 Correct 72 ms 6792 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 6788 KB Output is correct
2 Correct 68 ms 6780 KB Output is correct
3 Correct 67 ms 6748 KB Output is correct
4 Correct 97 ms 6748 KB Output is correct
5 Correct 89 ms 6792 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 7000 KB Output is correct
2 Correct 75 ms 6792 KB Output is correct
3 Correct 63 ms 6744 KB Output is correct
4 Correct 98 ms 6788 KB Output is correct
5 Correct 88 ms 6748 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 386 ms 19284 KB Output is correct
2 Correct 346 ms 19028 KB Output is correct
3 Correct 368 ms 19100 KB Output is correct
4 Correct 487 ms 19104 KB Output is correct
5 Correct 458 ms 19348 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 312 ms 19024 KB Output is correct
2 Correct 349 ms 19024 KB Output is correct
3 Correct 319 ms 19080 KB Output is correct
4 Correct 483 ms 19336 KB Output is correct
5 Correct 453 ms 19024 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 469 ms 23172 KB Output is correct
2 Correct 411 ms 23172 KB Output is correct
3 Correct 445 ms 23436 KB Output is correct
4 Correct 596 ms 23188 KB Output is correct
5 Correct 540 ms 23384 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 386 ms 23208 KB Output is correct
2 Correct 408 ms 23120 KB Output is correct
3 Correct 379 ms 23124 KB Output is correct
4 Correct 596 ms 23436 KB Output is correct
5 Correct 550 ms 23188 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 545 ms 25256 KB Output is correct
2 Correct 487 ms 25248 KB Output is correct
3 Correct 511 ms 25492 KB Output is correct
4 Correct 680 ms 25496 KB Output is correct
5 Correct 612 ms 25252 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 471 ms 25428 KB Output is correct
2 Correct 456 ms 25224 KB Output is correct
3 Correct 461 ms 25424 KB Output is correct
4 Correct 690 ms 25476 KB Output is correct
5 Correct 659 ms 25256 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 606 ms 29264 KB Output is correct
2 Correct 550 ms 29356 KB Output is correct
3 Correct 602 ms 29544 KB Output is correct
4 Correct 788 ms 29576 KB Output is correct
5 Correct 725 ms 29520 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 547 ms 29360 KB Output is correct
2 Correct 523 ms 29344 KB Output is correct
3 Correct 551 ms 29360 KB Output is correct
4 Correct 828 ms 29364 KB Output is correct
5 Correct 773 ms 29356 KB Output is correct

Subtask #20
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 779 ms 31568 KB Output is correct
2 Correct 744 ms 31760 KB Output is correct
3 Correct 718 ms 31900 KB Output is correct
4 Correct 979 ms 31760 KB Output is correct
5 Correct 907 ms 31756 KB Output is correct

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 634 ms 31756 KB Output is correct
2 Correct 678 ms 31756 KB Output is correct
3 Correct 672 ms 31980 KB Output is correct
4 Correct 992 ms 31668 KB Output is correct
5 Correct 941 ms 31756 KB Output is correct