Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
1 ∾ 2 ∾ 5 ∾ 6
2nd → a, 0th → b, |a-b|=2
⟨⋯ 3 ⋯ 5 ⋯ 6 ⋯ 4 ⋯⟩
⛔Avoid
⟨⋯ ᵃb ⋯⟩, ab=5
min {p5, p3, p1} = 0
#125034_v2.13
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.