Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
4th → a, 2nd → b, a+b=2
⟨? 4 ⋯ (?−1) ⋯ 2 ⋯⟩ (?≠4,5)
⟨⋯ Perm(3,6) ⋯⟩
⛔Avoid
⟨ ⁵ᵗʰa ¹ˢᵗb ⟩, max⟦a,b⟧ = 6
#125034_v2.12
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.