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2026-06-23 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
5th → a, 1st → b, a+b=9
Jump(3,5) ≥ 2

⛔Avoid
⟨ − ▧ ▢ ▢ − − ⟩, ▧ ≤ Σ▢
5th|2nd|1st|0th → 1
min {p5, p4} = 2

#125034_v2.13

2026-06-23 Q1(v=1)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨ − − ▧ ▧ ▢ ▢ ⟩, Σ▧ = Σ▢

⛔Avoid
⟨ ▧ ▧ − − − ▢ ⟩, Σ▧ ≥ ▢
⟨ ▧ ▧ ▧ ▢ ▢ ▢ ⟩, Σ▧ ≤ Σ▢
⟨ − ▧ ▧ − ▢ ▢ ⟩, Σ▧ ≥ Σ▢

#125034_v2.13

2026-06-21 Q1(v=1)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨     ³ʳᵈb ²ⁿᵈc ¹ˢᵗa   ⟩, a > b > c

⛔Avoid
Jump(0,5) = 2
Jump(1,2) ≤ 3
⟨ ⁵ᵗʰc   ³ʳᵈa     ⁰ᵗʰb ⟩, a > b > c
⟨   ⁴ᵗʰa ³ʳᵈb ²ⁿᵈc     ⟩, a > b > c

#125034_v2.13

2026-06-21 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ ᵃb ⋯⟩, |a-b|=5
4th → a, 3rd → b, ab=2

⛔Avoid
⟨⋯ 4 ⋯ ? ⋯ 3 (?+4)⟩
⟨⋯ ᵃb ⋯⟩, |a-b|=3
⟨   ⁴ᵗʰa     ¹ˢᵗb   ⟩, max⟦a,b⟧ = 4
5th → a, 1st → b, a+b=4

#125034_v2.13