Problem p02465 - Generation 2

Orig Description

Set Difference
  Find the difference of two sets $A = \{a_0, a_1, ..., a_{n-1}\}$ and $B = \{b_0, b_1, ..., b_{m-1}\}$,  $A - B$.
Input
  The input is given in the following format.
$n$
$a_0 \; a_1 \; ... \; a_{n-1}$
$m$
$b_0 \; b_1 \; ... \; b_{m-1}$
  Elements in $A$ and $B$ are given in ascending order. There are no duplicate elements in each set.
Output
  Print elements in the difference in ascending order. Print an element in a line.
 
Constraints
$1 \leq n, m \leq 200,000$
$0 \leq a_0 < a_1 < ... < a_{n-1} \leq 10^9$
$0 \leq b_0 < b_1 < ... < b_{m-1} \leq 10^9$
Sample Input 1
5
1 2 3 5 8
2
2 5
Sample Output 1
1
3
8

Extracted Specification

An integer N (1 ≤ N ≤ 200,000), representing some quantity or size.
A list of integers A of size N, where each integer is between 0 and 1e9, and the list is in ascending order with no duplicates.
An integer M (1 ≤ M ≤ 200,000), representing some quantity or size.
A list of integers B of size M, where each integer is between 0 and 1e9, and the list is in ascending order with no duplicates.

### Example Input:

```
5
1 2 3 5 8
2
2 5
```

### Function Signature:
Write a function f(N, A, M, B) that takes in the input.
```python
def f(N: int, A: List[int], M: int, B: List[int]):
    '''
    N: an integer
    A: a list of integers
    M: an integer
    B: a list of integers
    '''
```

Test Case Generator

Sure! Here is a test case generator for the "Set Difference" problem:

```python
import random

def generate_unique_sorted_list(size, max_value):
    # Generate a sorted list of unique elements
    unique_elements = set()
    while len(unique_elements) < size:
        unique_elements.add(random.randint(0, max_value))
    return sorted(unique_elements)

def tcgen():
    # Constraints
    MAX_N = 200000
    MAX_M = 200000
    MAX_VAL = 10**9

    # Random sizes for the sets A and B
    n = random.randint(1, MAX_N)
    m = random.randint(1, MAX_M)

    # Generate sorted lists with unique elements
    A = generate_unique_sorted_list(n, MAX_VAL)
    B = generate_unique_sorted_list(m, MAX_VAL)

    return n, A, m, B

# Example usage
if __name__ == "__main__":
    n, A, m, B = tcgen()
    print(n)
    print(" ".join(map(str, A)))
    print(m)
    print(" ".join(map(str, B)))
```

### Explanation:

1. **Function `generate_unique_sorted_list(size, max_value)`**:
    - This function generates a sorted list of unique elements.
    - It creates a set of unique random integers until the set reaches the desired size.
    - The set is then converted to a sorted list and returned.

2. **Function `tcgen()`**:
    - It defines the upper limits for the constraints.
    - It randomly selects the sizes `n` and `m` for sets `A` and `B` within the given constraints.
    - It calls `generate_unique_sorted_list` to create the sorted lists `A` and `B` with unique elements.
    - Finally, it returns `n`, `A`, `m`, and `B`.

3. **Example usage**:
    - The script can be run to generate a test case.
    - It will print the sizes `n` and `m`, followed by the elements of sets `A` and `B`.

This generator ensures that the sets `A` and `B` are in ascending order, contain unique elements, and respect the given constraints.

Extract Arguments

def extract_arguments(fh):
    n = int(fh.readline().strip())
    A = list(map(int, fh.readline().strip().split()))
    m = int(fh.readline().strip())
    B = list(map(int, fh.readline().strip().split()))
    return n, A, m, B