Rearrange the digits in ⟨125034⟩ to meet the rules below.
⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩
✅Match
⟨⋯ Perm(1,2,3) ⋯⟩
⟨ ⁵ᵗʰ↑ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↓ ⟩ after 5−⟨⋯⟩
⛔Avoid
⟨⋯ Perm(0,4) ⋯⟩
⟨⋯ a ⋯ 1 ⋯⟩, a = 0|5
{p5, p3, p2} = ? + {0,1,3}
#125034_v2.13
Originating from a math proof, 125034 is a game driven by combinatorics, logic, and probability.