Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
4th|2nd|1st|0th → 0
⛔Avoid
5th|3rd|0th → 4
4th|1st|0th → 4
5th|4th|0th → 2
5th|3rd|2nd → 3
5th|3rd|2nd|1st → 1
⟨⋯ ᵃb ⋯⟩, a+b=1
#125034_v2.14
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.