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.
```python
def f(N: int):
'''
N: an integer
'''
```
Test Case Generator
Certainly! To generate test cases for the "Divisor" problem, we can create a function that randomly selects a number \( N \) within the given range and then outputs it. Here is the test case generator for the problem:
```python
import random
def tcgen():
# Generate a random number N within the range 1 to 12
N = random.randint(1, 12)
return N
# Example usage:
for _ in range(5): # Generate 5 test cases as an example
print(tcgen())
```
This function will generate a random integer \( N \) within the specified range (1 ≤ \( N \) ≤ 12) each time it is called. You can run this function multiple times to generate multiple test cases. Each test case will consist of a single line containing the integer \( N \).
Extract Arguments
def extract_arguments(fh):
N = int(fh.readline().strip())
return N,