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2025-05-30 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(1,6) ≥ 2
⟨⋯ 2 ⋯ 6 ⋯ 1 ⋯⟩

⛔Avoid
max ⊢0⊣ ≤ 5
4th → 4|6
3rd → a, 1st → b, |a-b|=2
⟨⋯ 4 ⋯ a ⋯⟩, a = 1|2|3|5|6

#125034_v2.9

2025-05-30 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 4 ⋯ a ⋯⟩, a = 1|5
5th → 0
max {p5, p2, p1} = 3

⛔Avoid
5th|2nd|1st|0th → 1
⟨ − − ▧ ▧ − ▢ ⟩, Σ▧ ≤ ▢
Jump(1,3) = 2

#125034_v2.9

2025-05-29 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
min {p6, p1, p0} = 0
⟨⋯ 5 ⋯ 6 ⋯ 3 ⋯ 4 ⋯⟩

⛔Avoid
⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, max⟦a,b⟧ = 6
Jump(0,6) = 3
3rd → 2|3|4|6
⟨     ⁴ᵗʰb     ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c

#125034_v2.9

2025-05-29 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(2,5) = 2
max ⊢3⊣ ≥ 4
⟨   ⁴ᵗʰa   ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 130
⟨⋯ Perm(1,4,5) ⋯⟩
⟨⋯ 4 ⋯ 1 ⋯⟩

#125034_v2.9