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