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2026-08-25 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
4th → a, 2nd → b, |a-b|=2
⟨⋯ ᵃb ⋯⟩, a+b=8
0th → 0|5
4th → a, 1st → b, ab=12

⛔Avoid
⟦0,5⟧ ∋ 2,3

#125034_v2.14

2026-08-25 Q1(m=6)

Rearrange the digits in ⟨1263045⟩ to meet the rules below.

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
max {p6, p3, p1} = 6
median {p4, p2, p1} = 4
1st → a, 0th → b, |a-b|=3
5th → a, 2nd → b, a+b=3+6n
min ⊢3⊣ = 1

⛔Avoid
Jump(3,4) = 1

#125034_v2.14

2026-08-23 Q1(v=0)

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
0 ∾ 1 ∾ 2 ∾ 3 ∾ 4 ∾ 5
⟨⋯ 4 ⋯ 1 ⋯⟩
Sim⟨ ⁵ᵗʰ3 ⁴ᵗʰ5 ³ʳᵈ4 ²ⁿᵈ1 ¹ˢᵗ2 ⁰ᵗʰ0 ⟩ = 0
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, min⟦a,b⟧ = 1

⛔Avoid
{p5, p4, p2} = ? + {0,1,2}
⟨⋯ Perm(0,2,5) ⋯⟩

#125034_v2.14

2026-08-23 WR

Rearrange the digits in ⟨125034⟩ to meet the rules below.

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, max⟦a,b⟧ = 5
⟨? 0 ⋯ (?−1) ⋯ 1 ⋯⟩ (?≠1)
⟦1,3⟧ ∋ 2,5

⛔Avoid
median {p5, p3, p1} = 3
⟨ ⁵ᵗʰa   ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 350

#125034_v2.14