Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨⋯ 0 ⋯ 3 ⋯ 1 ⋯⟩
⛔Avoid
⟨ ³ʳᵈa ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 314
⟨ ⁰ᵗʰ↑ ⟩ after ⟨→⟩
0th → 2|3|5
5th|3rd|0th → 0
#125034_v2.12
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.