Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨⋯ ? ⋯ 2 ⋯ (?−1)⟩ (?≠2,3)
4th → 4|5
⟨⋯ ? ⋯ 5 ⋯ (?−2)⟩ (?≠5)
5th → a, 2nd → b, |a-b|=2
#125034_v2.13
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.