Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ ⁴ᵗʰb ¹ˢᵗa ⟩, a > b
⟨ ⁴ᵗʰa ²ⁿᵈb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 154
⟨? ⋯ 4 ⋯ (?−5) ⋯⟩
⛔Avoid
⟨⋯ ᵃb ⋯⟩, a+b=7+2n
⟨ − − ▧ ▧ ▢ − ⟩, Σ▧ ≤ ▢
#125034_v2.15
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.