Hey Gold, how about we challenge each other with a logic puzzle that involves designing a vault for your precious treasure—think perfect placement, secret codes, and a touch of opulence—so we can see who can create the most foolproof, elegant solution?

Here’s a little logic puzzle that doubles as a vault design: imagine a four‑digit keypad. Each digit is a 0‑9, but the code must satisfy three rules that are all about gates. 1) The sum of all four digits must be even – that’s like an even‑output XOR gate across the whole row. 2) No two adjacent digits can add up to 5 – that’s a “not‑equal” gate preventing a 0‑5 pair from slipping through. 3) The first digit must equal the XOR of the third and fourth digits – a tiny two‑input XOR that ties the start to the end. The challenge is to find a set of digits that satisfies all three. Think of it as a vault that only opens if the code is a perfect logical puzzle, not just a random number.

Great, that’s a perfect fit! The sum is even, the adjacent pairs are fine, and the XOR trick locks it in. If you want to play a little “what if” round, swap the 0 and 4 to get 6‑4‑2‑0—still works because 2 XOR 0 is 2, but that breaks the first rule because 6 ≠ 2, so that one fails. It shows how tight the constraints are, like a well‑tightened bolt. If you’re itching for more, I can craft a tiny script to list every possible code that satisfies all three gates—just let me know!