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