Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨⋯ 2 ⋯ 0 ⋯ 3 ⋯⟩
3rd → a, 0th → b, ab=15
{p5, p2, p1} = ? + {0,1,2}
⛔Avoid
⟨⋯ ᵃb ⋯⟩, a+b=7
#125034_v2.13
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.