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2026-01-29 Q1(m=6)

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

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

✅Match
Jump(0,3) = 3
⟦1,5⟧ ∋ 3
⟨⋯ Perm(1,2) ⋯⟩
6th → a, 0th → b, a+b=0+4n

⛔Avoid
5th → 2|3|5
⟨⋯ Perm(2,6) ⋯⟩

#125034_v2.11

2026-01-29 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
4th → a, 1st → b, a+b=0+5n
min ⊢5⊣ ≥ 2
⟨? ⋯ 5 ⋯ (?+1) ⋯⟩ (?≠4)

⛔Avoid
Sim⟨ ⁵ᵗʰ5 ⁴ᵗʰ0 ³ʳᵈ3 ²ⁿᵈ4 ¹ˢᵗ2 ⁰ᵗʰ1 ⟩ = 0
⟦1,5⟧ ∋ 2,4
5th → a, 1st → b, |a-b|=2
min {p5, p3, p2} = 1
Jump(3,4) = 1

#125034_v2.11

2026-01-27 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
4th → a, 3rd → b, a+b=0+5n
⟨     ³ʳᵈb ²ⁿᵈa ¹ˢᵗc   ⟩, a > b > c
5th → a, 2nd → b, a+b=0+5n
⟨     ³ʳᵈa ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 150
⟨         ¹ˢᵗa ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 21

⛔Avoid
⟨⋯ Perm(1,2,3) ⋯⟩
⟨⋯ 3 ⋯ 2 ⋯⟩

#125034_v2.11

2026-01-27 Q1(m=6)

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

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

✅Match
median {p5, p2, p1} = 1
6th → 0|2|4|6
4th → a, 1st → b, a+b=6
2nd → 2|3|4

⛔Avoid
min {p6, p2, p1} = 1
⟨             ⁰ᵗʰ↓ ⟩ after 2×⟨→⟩
⟨? ⋯ 0 ⋯ (?−2) ⋯⟩ (?≠2)

#125034_v2.11