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
Certainly! Here's a test case generator for the described "Divisor" problem:
```python
import random
def tcgen():
N = random.randint(1, 12)
return N
# Example usage:
for _ in range(10):
print(tcgen())
```
This function will generate a random test case where `N` is a natural number between 1 and 12 inclusive. Each time you call `tcgen()`, it will return a single integer `N` which can be used as input for the problem.
If you need to generate multiple test cases at once, you can adjust the function to return a list of test cases:
```python
def generate_multiple_test_cases(num_cases):
return [tcgen() for _ in range(num_cases)]
# Example usage:
test_cases = generate_multiple_test_cases(10)
for case in test_cases:
print(case)
```
This code will generate and print 10 test cases for the problem. Adjust the number in `generate_multiple_test_cases(10)` to generate as many test cases as you need.
Extract Arguments
def extract_arguments(fh):
N = int(fh.readline().strip())
return N