Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ ²ⁿᵈa ⁰ᵗʰb ⟩, max⟦a,b⟧ = 4
⟨⋯ 2 ⋯ 5 ⋯⟩
⛔Avoid
{p5, p2, p1} = ? + {0,2,3}
⟨⋯ a ⋯ 3 ⋯⟩, a = 0|2|4
4th → a, 2nd → b, ab=0+4n
#125034_v2.12
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.