Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ ⁴ᵗʰa ³ʳᵈb ²ⁿᵈc ⟩, (abc)₁₀ ≤ 135
⟦4,5⟧ ∋ 1,2
⟨Perm(0,2,5) Perm(1,3,4)⟩
2nd|0th → 3
⛔Avoid
⟨⋯ 4 ⋯ a ⋯⟩, a = 2|3|5
#125034_v2.12
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.