Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨⋯ ᵃb ⋯⟩, ab=10
⟨? 1 ⋯ (?−6) ⋯ 5 ⋯⟩
⛔Avoid
⟨⋯ ᵃb ⋯⟩, ab=12
⟨⋯ ᵃb ⋯⟩, a+b=5
⟨⋯ ᵃb ⋯⟩, a+b=8
⟨⋯ ᵃb ⋯⟩, ab=3
#125034_v2.13
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.