Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
{p6, p3, p2, p1} = ? + {0,1,2,3}
⟨? 0 ⋯ (?+4) ⋯ 3 ⋯⟩ (?≠0)
6th → a, 2nd → b, ab=2
⛔Avoid
⟨⋯ ᵃb ⋯⟩, a+b=6
#125034_v2.13
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.