Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨⋯ 2 ⋯ a ⋯⟩, a = 0|1|5
⟨⋯ a ⋯ 3 ⋯⟩, a = 0|2|5
⟨? ⋯ 0 (?−1) ⋯ 2 ⋯⟩ (?≠1)
⛔Avoid
⟨⋯ a ⋯ 3 ⋯⟩, a = 1|4
#125034_v2.13
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.