Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
5th → a, 3rd → b, ab=15
⟨ − − − ▧ ▧ ▢ − ⟩, Σ▧ = ▢
⛔Avoid
⟨ ⁴ᵗʰa ²ⁿᵈb ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 564
⟨⋯ 2 ⋯ 5 ⋯ 3 ⋯⟩
#125034_v2.12
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.