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