Problem p01048 - Generation 3

Orig Description

Divisor
Problem
Given a natural number N less than or equal to 12, find the smallest natural number whose number of divisors is exactly N.
Input
A single natural number N is given on one line.
Constraints
1 ≤ N ≤ 12
Output
Output the smallest natural number whose number of divisors is exactly N on one line.
Sample Input 1
1
Sample Output 1
1
Sample Input 2
2
Sample Output 2
2
Sample Input 3
3
Sample Output 3
4

Extracted Specification

Canonicalized Input Description:

A single integer N (1 ≤ N ≤ 12).

### Example Input:

```
3
```

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

Test Case Generator

Sure! Below is a Python function that generates test cases for the given problem statement "Divisor".

```python
import random

def tcgen():
    # Generate a random value for N within the given constraint
    N = random.randint(1, 12)
    
    return N

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

This function `tcgen()` generates a random integer \(N\) within the range [1, 12], as specified in the problem constraints. Each call to `tcgen()` will produce a new value for \(N\) which can be used as an input to test the solution for the problem.

Extract Arguments

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