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2026-08-07 Q1(m=6,v=1)

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

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

✅Match
⟨ − − ▧ ▧ ▧ ▢ ▢ ⟩, Σ▧ ≤ Σ▢
⟨ − − − ▧ ▧ − ▢ ⟩, Σ▧ ≥ ▢
⟨ ▧ − − − ▢ ▢ − ⟩, ▧ = Σ▢

⛔Avoid
⟨ ▧ ▧ − ▢ ▢ ▢ − ⟩, Σ▧ ≤ Σ▢
⟨⋯ ? ⋯ 0 ⋯ (?−1)⟩ (?≠1)
⟨? ⋯ 2 ⋯ (?+1) ⋯⟩ (?≠2,1)
⟨ − ▧ ▢ ▢ ▢ − − ⟩, ▧ ≥ Σ▢

#125034_v2.14

2026-08-07 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
median {p5, p4, p1} = 1
⟨ ▧ ▧ − − ▢ ▢ ⟩, Σ▧ ≥ Σ▢
⟨   ⁴ᵗʰa     ¹ˢᵗb   ⟩, min⟦a,b⟧ = 1

⛔Avoid
4th → a, 3rd → b, ab=10
min {p4, p2, p0} = 2

#125034_v2.14

2026-08-06 Q1(v=0)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ0 ³ʳᵈ5 ²ⁿᵈ3 ¹ˢᵗ1 ⁰ᵗʰ4 ⟩ = 2
Sim⟨ ⁵ᵗʰ1 ⁴ᵗʰ2 ³ʳᵈ0 ²ⁿᵈ5 ¹ˢᵗ4 ⁰ᵗʰ3 ⟩ ≥ 1
Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ0 ³ʳᵈ3 ²ⁿᵈ5 ¹ˢᵗ2 ⁰ᵗʰ1 ⟩ ≥ 1
Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ5 ³ʳᵈ4 ²ⁿᵈ3 ¹ˢᵗ0 ⁰ᵗʰ1 ⟩ ≥ 2

⛔Avoid
Sim⟨ ⁵ᵗʰ3 ⁴ᵗʰ4 ³ʳᵈ2 ²ⁿᵈ0 ¹ˢᵗ1 ⁰ᵗʰ5 ⟩ = 0
Sim⟨ ⁵ᵗʰ1 ⁴ᵗʰ5 ³ʳᵈ0 ²ⁿᵈ4 ¹ˢᵗ3 ⁰ᵗʰ2 ⟩ ≤ 1

#125034_v2.14

2026-08-06 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
4th → a, 2nd → b, |a-b|=5
⟨⋯ ᵃb ⋯⟩, a+b=6
min ⊢4⊣ = 2

⛔Avoid
2nd → a, 1st → b, |a-b|=2
⟨? ⋯ 4 ⋯ (?+1) ⋯⟩ (?≠4,3)

#125034_v2.14