Problem p01989 - Generation 2

Orig Description

A: IP Address (Internet Protocol Address)
Problem
Given a string of digits, count the number of valid ways to split it into an IPv4 address.
A split is valid if and only if:
The string is split into four parts, each containing one to three digits.
Each part is not empty and represents a number from 0 to 255, inclusive, when interpreted as a decimal number.
If a part is 0, then it must be a single digit, '0'.
If a part is not 0, then it must not start with the digit, '0'.
Input Format
S
Constraints
4 \leq |S| \leq 12
The string, S, consists only of digits.
Output Format
Output the number of valid ways to split the given string into an IPv4 address.
Sample Input 1
123456789
Sample Output 1
1
There is only one valid way to split the given string into an IPv4 address: '123.45.67.89'.
Sample Input 2
768426
Sample Output 2
6

Extracted Specification

An integer string \(S\), where the length of \(S\) is between 4 and 12 inclusive.
The string \(S\) consists only of digits.

### Example Input:

```
123456789
```

### Function Signature:
Write a function f(S) that takes in the input.
def f(S: str):
    '''
    S: an integer string
    '''

Test Case Generator

Sure, I can help you write a test case generator for the given problem statement. Here's a Python function that generates random test cases for this problem:

```python
import random

def generate_random_ip_string():
    length = random.randint(4, 12)
    return ''.join(random.choices('0123456789', k=length))

def tcgen():
    S = generate_random_ip_string()
    return S

# Example usage:
for _ in range(5):
    print(tcgen())
```

Explanation:
- `generate_random_ip_string()`: This helper function generates a random string of digits with a length between 4 and 12.
- `tcgen()`: This function generates the actual test case by calling the helper function to get a random string `S`.

The generated string `S` will be a valid input for the problem constraints (4 ≤ |S| ≤ 12 and S consists only of digits). You can use this function to generate multiple test cases for your problem.

Example output from the generator:
```
739104
928374
123456789
192837465
283746
```

Feel free to run the `tcgen()` function repeatedly to generate as many test cases as you need.

Extract Arguments

def extract_arguments(fh):
    S = fh.readline().strip()
    return (S,)