Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟦2,5⟧ ∋ 4
{p4, p3, p1} = ? + {0,2,3}
5th|4th|2nd|0th → 3
⛔Avoid
⟨⋯ 2 ⋯ a ⋯⟩, a = 0|4|5
4th → a, 0th → b, ab=2+4n
⟨⋯ Perm(0,4,5) ⋯⟩
#125034_v2.15
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.