Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨ ⁵ᵗʰb ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c
⛔Avoid
⟨ ▧ ▧ ▧ − ▢ − − ⟩, Σ▧ ≥ ▢
1st → 0|1|2|5
6th → 0
3rd → 5|6
#125034_v2.15
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.