Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨? ⋯ 0 ⋯ (?−2) ⋯⟩ (?≠2)
⟨⋯ 4 ⋯ 5 ⋯ 3 ⋯⟩
⛔Avoid
⟨ ▧ ▧ − ▢ − − ⟩, Σ▧ ≥ ▢
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ↑ ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after 5−⟨⋯⟩
5th|3rd → 1
#125034_v2.15
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.