Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ − ▧ − − ▢ ▢ − ⟩, ▧ ≤ Σ▢
⟨ − − ▧ − ▢ ▢ ▢ ⟩, ▧ = Σ▢
⟨ ▧ ▧ − − − ▢ ▢ ⟩, Σ▧ = Σ▢
⟨ − ▧ − ▢ ▢ − − ⟩, ▧ ≥ Σ▢
#125034_v2.13
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.