Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨⋯ 5 ⋯ a ⋯⟩, a = 0|2|4
⛔Avoid
⟨⋯ a ⋯ 2 ⋯⟩, a = 0|1|3
⟨⋯ a ⋯ 0 ⋯⟩, a = 1|3|4|6
⟨⋯ 5 ⋯ a ⋯⟩, a = 0|1|3
⟨⋯ ᵃb ⋯⟩, a+b=4+8n
#125034_v2.15
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.