To celebrate the Pi-Day (3/14) adequately, a challenging math puzzle must not be missing.
Rules:
- Fill in the numbers 1-9 exactly once in every row, column, and region.
- On top of that, you need to use $\pi$ exactly three times in every row, column and region to fill in the remaining gaps.
What's the solution for this $\pi$doku?
Additional challenge: Try to find a "creative way" to write Pi each time you're using it! For example: $4\cdot\left(\left(\frac{1}{2}\right)!\right)^2$