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