Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
Jump(0,4) = 2
⟨⋯ Perm(2,3) ⋯⟩
⟨ ⁴ᵗʰa ²ⁿᵈb ¹ˢᵗc ⟩, (abc)₁₀ ≥ 420
2nd → a, 0th → b, a+b=7
⛔Avoid
⟨⋯ ᵃb ⋯⟩, ab=6+7n
#125034_v2.15
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.