Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟦3,6⟧ ∋ 1,4
⟦0,3⟧ ∋ 1,2
⟦2,6⟧ ∋ 1
⟦3,5⟧ ∋ 1
⛔Avoid
⟨⋯ 4 ⋯ a ⋯⟩, a = 1|2|3|5
⟦0,3⟧ ∋ 2,5
#125034_v2.13
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.