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2026-07-14 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ a ⋯ 2 ⋯⟩, a = 1|3
⟨ − − ▧ ▢ ▢ − ⟩, ▧ ≥ Σ▢
5th → a, 0th → b, a+b=1

⛔Avoid
5th → a, 1st → b, |a-b|=2

#125034_v2.13

2026-07-14 Q1(m=6)

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

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

✅Match
Sim⟨ ⁶ᵗʰ4 ⁵ᵗʰ1 ⁴ᵗʰ2 ³ʳᵈ3 ²ⁿᵈ6 ¹ˢᵗ0 ⁰ᵗʰ5 ⟩ ≥ 3
⟨? ⋯ 1 ⋯ (?+4) ⋯⟩ (?≠1)
max {p5, p4, p1} = 5

⛔Avoid
5th|4th|3rd|2nd|1st → 4
4th → a, 2nd → b, a+b=2+5n
6th|4th|2nd → 0

#125034_v2.13

2026-07-12 Q1(v=1)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ ? ⋯ 4 ⋯ (?−3)⟩ (?≠4)
⟨⋯ ? ⋯ 5 ⋯ (?−1)⟩ (?≠5)
⟨? 2 ⋯ (?+1) ⋯ 4 ⋯⟩ (?≠2,1)

⛔Avoid
⟨? ⋯ 1 (?+2) ⋯ 5 ⋯⟩ (?≠1)

#125034_v2.13

2026-07-12 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ 4 ⋯ ? ⋯ 3 (?+1)⟩ (?≠3,2)
2nd → 0|1|3
⟨⋯ ᵃb ⋯⟩, ab=12
Sim⟨ ⁵ᵗʰ1 ⁴ᵗʰ3 ³ʳᵈ2 ²ⁿᵈ0 ¹ˢᵗ5 ⁰ᵗʰ4 ⟩ ≤ 1

⛔Avoid
⟨ − ▧ ▧ ▢ ▢ ▢ ⟩, Σ▧ ≥ Σ▢
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 13

#125034_v2.13