Optimize circuits using lookup tables for hand ranks

[Marvy247]

Replace constraint-heavy hand evaluation logic with precomputed lookup tables committed via Merkle tree. Reduces constraint count for showdown_valid significantly.

[larondo1234]

@larondo1234 has applied to work on this issue as part of the Stellar Wave Program's 8th wave.

I’d like to work on this issue because optimizing hand-rank circuits with lookup tables can improve performance and efficiency. I’m interested in contributing a clean implementation and testing it thoroughly.

ℹ️ Repo Maintainers: To accept this application, review their application or assign @larondo1234 to this issue.

[Amas-01]

@Amas-01 has applied to work on this issue as part of the Stellar Wave Program's 8th wave.

Hello Maintainer, I'll like to work on this. Please Assign me

ℹ️ Repo Maintainers: To accept this application, review their application or assign @Amas-01 to this issue.

[drips-wave]

Congratulations, @Amas-01! 🎉 Your application was accepted by the repo's maintainers, and the issue is due on August 31, 2026.

🧑‍💻 @Amas-01: Please resolve the issue such that the repo's maintainers have enough time to review your contribution before the due date. You'll earn Points for completing the issue on-time, which will make you eligible for a share of the Stellar Wave Program's reward pool.

Warning

When opening a PR, please link it to this issue to ensure it gets tracked accurately. Points are awarded when this issue is marked as completed by the maintainer.

🤠 Repo maintainers: Please keep an eye on the contributor's progress and review their work before the due date. You can manage this issue, including adjusting its complexity and points, here.

🌊 Happy Wave 🌊

[drips-wave]

This issue has been completed by @Amas-01 as part of the Stellar Wave Program's 8th Wave 🥳

😎 @Amas-01: You earned 200 Points for completing this issue! After the current Wave ends, you'll be eligible for a percentage of the Wave's reward pool based on the percentage of total points you've earned. Learn more here. You can also Leave a review to share your experience working on this issue.

🧑‍💻 Repo maintainers: How'd the contributor do? Leave a review to share your experience working with them.