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2025-02-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, (ab)₁₀ ≤ 32
⟨⋯ 3 ⋯ 0 ⋯⟩

⛔Avoid
max ⊢1⊣ ≥ 3
⟦1,4⟧ ∋ 3,5
⟨     ³ʳᵈa ²ⁿᵈb ¹ˢᵗc   ⟩, a > b > c
Jump(2,4) ≥ 1
⟨⋯ Perm(0,1,3) ⋯⟩
5th → a, 2nd → b, a+b=4

#125034_v2.8

2025-02-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 3rd → b, ab=3+4n
⟨       ³ʳᵈ↓ ²ⁿᵈ↓ ¹ˢᵗ↑   ⟩ after 3×⟨←⟩
6th → a, 2nd → b, a+b=7
⟨     ⁴ᵗʰb     ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c

#125034_v2.8

2025-02-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(3,4,6) ⋯⟩
4th → a, 1st → b, ab=3+4n
min ⊢2⊣ = 2
6th → 3|4|5

⛔Avoid
6th|5th|3rd|1st|0th → 3
max ⊢1⊣ ≤ 4
⟦5,6⟧ ∋ 3,4
{p6, p5, p4, p2} = ? + {0,1,2,3}

#125034_v2.8

2025-02-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(2,3,4) ⋯⟩
Jump(2,5) = 0
⟨       ²ⁿᵈ↑   ⁰ᵗʰ↑ ⟩ after 2×⟨→⟩

⛔Avoid
⟨? ⋯ 4 ⋯ (?+2) ⋯⟩ (?≠2)
4th → a, 2nd → b, |a-b|=1
5th → a, 3rd → b, ab=2

#125034_v2.8