Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
4th → a, 2nd → b, |a-b|=2
⟨⋯ ᵃb ⋯⟩, a+b=8
0th → 0|5
4th → a, 1st → b, ab=12
⛔Avoid
⟦0,5⟧ ∋ 2,3
#125034_v2.14
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.