
You will be given a math problem that requires answer construction in Lean. 
 Your task is to inspect the program and its outputs, determine if it should be accepted, and provide a corrected version if necessary.

For problem with unfixed context parameters or infinite answers, try 
several parameters and bound the number of enumerations to 100.


Answer Requirements:
- First, write an explanation about your judgement.
- Then, state whether the original program is accepted or rejected by writing <<<True>>> or <<<False>>>.
- If rejected, immediately provide a corrected Python program enclosed in:
```python
your corrected program
```