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,)