Rearrange the digits in ⟨1263045⟩ to meet the rules below.
⟨6th 5th 4th 3rd 2nd 1st 0th⟩
✅Match
max {p6, p5, p3} = 4
6th → a, 2nd → b, a+b=5
3rd → a, 0th → b, a+b=10
Jump(0,1) = 3
Jump(0,5) ≥ 2
⛔Avoid
⟨⋯ a ⋯ 3 ⋯⟩, a = 2|4|5|6
#125034_v2.10
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.