Problem p02465 - Generation 1

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 n integers A, where each integer is between 0 and 1e9, sorted in strictly ascending order with no duplicates.
An integer m (1 ≤ m ≤ 200,000), representing some quantity or size.
A list of m integers B, where each integer is between 0 and 1e9, sorted in strictly 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. 
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, I can write a test case generator for the problem "Set Difference". Below is a Python function that generates test cases according to the given problem statement:

```python
import random

def generate_ascending_list(size, max_value):
    """Generate an ascending list of unique integers."""
    if size > max_value + 1:
        raise ValueError("Cannot generate a unique ascending list with the given size and max_value.")
    
    result = sorted(random.sample(range(max_value + 1), size))
    return result

def tcgen():
    # Constraints
    max_n_m = 200000
    max_value = 10**9
    
    # Generate random sizes for set A and set B
    n = random.randint(1, max_n_m)
    m = random.randint(1, max_n_m)
    
    # Generate unique ascending elements for set A and set B
    A = generate_ascending_list(n, max_value)
    B = generate_ascending_list(m, max_value)
    
    return n, A, m, B

# Example usage:
n, A, m, B = tcgen()
print(f"{n}\n{' '.join(map(str, A))}\n{m}\n{' '.join(map(str, B))}")
```

### Explanation:
1. **Function `generate_ascending_list(size, max_value)`**:
   - Generates a list of unique integers of given size within the range [0, max_value].
   - Ensures the list is sorted in ascending order.
   - Uses `random.sample` to avoid duplicates and ensure all elements are unique within the given range.

2. **Function `tcgen()`**:
   - Picks random sizes `n` and `m` for sets A and B within the constraints.
   - Uses `generate_ascending_list` to generate the actual sets in ascending order.
   - Returns the sizes and the sets.

3. **Example usage**:
   - Generates a test case and prints it in the format specified in the problem statement.

This function should cover a wide range of test cases including edge cases with minimum and maximum 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