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2026-09-15 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after ⟨⇌⟩
⟨⋯ Perm(0,1) ⋯⟩

⛔Avoid
⟨⋯ ᵃb ⋯⟩, |a-b|=0
⟨⋯ 3 ⋯ a ⋯⟩, a = 0|1|2|5

#125034_v2.14

2026-09-15 Q1(v=0)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨? ⋯ 3 ⋯ (?−3) ⋯⟩ (?≠3)
⟨⋯ ? ⋯ 3 ⋯ (?−3)⟩ (?≠3)

⛔Avoid
⟨? ⋯ 5 ⋯ (?−3) ⋯⟩ (?≠5)
⟨⋯ ? ⋯ 0 ⋯ (?−3)⟩ (?≠3)

#125034_v2.14

2026-09-13 Q1(m=6)

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

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

✅Match
max {p5, p3, p0} = 6
1st → a, 0th → b, a+b=5
⟨⋯ ᵃb ⋯⟩, |a-b|=4
⟨     ⁴ᵗʰa ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 423

⛔Avoid
⟨⋯ ᵃb ⋯⟩, ab=18
⟨? ⋯ 6 ⋯ (?−2) ⋯⟩ (?≠6)
⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 50

#125034_v2.14

2026-09-13 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
4th → 0|2|3|5
⟨? ⋯ 2 (?+1) ⋯ 3 ⋯⟩ (?≠2,1)
⟦0,1⟧ ∋ 2,4,5

#125034_v2.14