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2026-06-09 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
Jump(1,4) = 1
4th → a, 0th → b, a+b=1+4n
2nd → a, 1st → b, ab=0+4n
⟨⋯ Perm(1,5) ⋯⟩

⛔Avoid
⟨⋯ 2 ⋯ 0 ⋯ 5 ⋯⟩
⟨⋯ ᵃb ⋯⟩, ab=4
⟨? ⋯ 2 ⋯ (?+1) ⋯⟩ (?≠2,1)

#125034_v2.13

2026-06-09 Q1(v=0)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ3 ³ʳᵈ1 ²ⁿᵈ5 ¹ˢᵗ0 ⁰ᵗʰ2 ⟩ ≤ 1
Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ5 ³ʳᵈ0 ²ⁿᵈ2 ¹ˢᵗ3 ⁰ᵗʰ1 ⟩ ≥ 1
Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ1 ³ʳᵈ3 ²ⁿᵈ0 ¹ˢᵗ5 ⁰ᵗʰ4 ⟩ = 1
5th → a, 2nd → b, ab=4+5n

⛔Avoid
Sim⟨ ⁵ᵗʰ1 ⁴ᵗʰ5 ³ʳᵈ4 ²ⁿᵈ3 ¹ˢᵗ0 ⁰ᵗʰ2 ⟩ = 0
Sim⟨ ⁵ᵗʰ3 ⁴ᵗʰ2 ³ʳᵈ1 ²ⁿᵈ4 ¹ˢᵗ5 ⁰ᵗʰ0 ⟩ ≥ 2

#125034_v2.13

2026-06-07 Q1(m=6,v=0)

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

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

✅Match
max ⊢3⊣ ≤ 5
max ⊢4⊣ = 5
max ⊢2⊣ = 2
max ⊢1⊣ = 5
⟨⋯ ᵃb ⋯⟩, ab=8

#125034_v2.13

2026-06-07 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
min ⊢2⊣ = 2
⟨ ⁵ᵗʰa   ³ʳᵈb ²ⁿᵈc     ⟩, a > b > c

⛔Avoid
⟦2,3⟧ ∋ 5
⟨     ³ʳᵈa ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 31
min ⊢5⊣ ≥ 2
Jump(0,4) ≥ 1

#125034_v2.13