Problem p01223 - Generation 3

Orig Description

Problem A:Saizou
    In a certain country, a TV program called "Saizou" is popular.
    This program is about participants challenging a field athletics,
    and if they successfully clear it, they can receive a prize money.
  
    The field athletics is made by arranging blocks of different heights in a row,
    and it is important to figure out how to climb and descend the steps
    (Figure 1) in order to clear it.
    Your friend who is going to participate in this program
    has asked you, a skilled programmer, to write a program to calculate
    the maximum step to climb and the maximum step to descend
    when the structure of the field athletics is given.
  
Figure 1: An example of the structure of the athletics (the first dataset of the input example).
Input
    The first line of the input contains the number of datasets, t
    (0 < t ≤ 100).
    This is followed by t datasets.
  
    The first line of each dataset is the number of blocks that make up the field athletics, n
    (2 ≤ n ≤ 100).
    The second line shows a sequence of integers that represent the height of the blocks
    from the start to the goal.
    The first number corresponds to the starting block and the n-th number corresponds to the goal block.
    These integers are separated by a single space.
    The height h of each block satisfies 0 < h ≤ 1000.
  
Output
    For each dataset, output the maximum height difference to climb and the maximum height difference to descend,
    separated by a single space on a single line.
    If there is no step to climb or to descend, the maximum height difference for that should be 0.
  
Sample Input
5
5
10 70 30 50 90
2
20 100
2
100 30
3
50 50 50
7
123 45 678 901 234 567 890
Output for the Sample Input
60 40
80 0
0 70
0 0
633 667

Extracted Specification

An integer t (0 < t ≤ 100), representing some quantity or size.
A list of t datasets follows.
Each dataset consists of:
1. An integer n (2 ≤ n ≤ 100), representing some quantity or size.
2. A list of n integers where each integer is between 1 and 1000.

### Example Input:

```
5
5
10 70 30 50 90
2
20 100
2
100 30
3
50 50 50
7
123 45 678 901 234 567 890
```

### Function Signature:
Write a function f(inputs) that takes in the input.
def f(inputs: List[Tuple[int, List[int]]]): 
    ''' 
    inputs: a list of tuples where each tuple contains: 
        - an integer 
        - a list of integers 
    '''

Test Case Generator

Sure! Here's a test case generator for the "Saizou" problem:

```python
import random

def generate_field_athletics_dataset():
    # Number of blocks (n)
    n = random.randint(2, 100)
    
    # Heights of the blocks (from 1 to 1000)
    heights = [random.randint(1, 1000) for _ in range(n)]
    
    return n, heights

def saizou_tcgen():
    # Number of datasets (t)
    t = random.randint(1, 100)
    
    datasets = []
    for _ in range(t):
        n, heights = generate_field_athletics_dataset()
        datasets.append((n, heights))
    
    return t, datasets

def print_test_case(t, datasets):
    print(t)
    for n, heights in datasets:
        print(n)
        print(" ".join(map(str, heights)))

# Generate a test case
t, datasets = saizou_tcgen()
print_test_case(t, datasets)
```

### Explanation:
- **generate_field_athletics_dataset**: This function generates a single dataset for the problem. It creates a random number of blocks `n` between 2 and 100, and then generates a list of random heights for these blocks where each height is between 1 and 1000.
- **saizou_tcgen**: This function generates the number of datasets `t` between 1 and 100. For each dataset, it calls `generate_field_athletics_dataset` to create the individual datasets.
- **print_test_case**: This function prints the test case in the specified format.

To use this generator, simply run the script and it will print out a test case in the proper format. You can modify the random seed for reproducibility if needed.

Extract Arguments

def extract_arguments(fh):
    t = int(fh.readline().strip())
    datasets = []
    for _ in range(t):
        n = int(fh.readline().strip())
        heights = list(map(int, fh.readline().strip().split()))
        datasets.append((n, heights))
    return datasets

# if __name__ == "__main__":
#     input_path = sys.argv[1]
#     with open(input_path, 'r') as fh:
#         datasets = extract_arguments(fh)
#         for n, heights in datasets:
#             f(n, heights)