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