2025-01-03 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 1 ⋯ (?−1) ⋯⟩ (?≠1,2)

{p5, p3, p2, p1} = ? + {0,1,2,3}

⟨   ⁵ᵗʰa ⁴ᵗʰb       ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 246

⟨ ⁶ᵗʰa     ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≤ 462

⛔Avoid

⟨⋯ Perm(0,1,6) ⋯⟩

⟨? ⋯ 3 ⋯ (?+2) ⋯⟩ (?≠3,1)

#125034_v2.8

2025-01-03 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ a ⋯ 4 ⋯⟩, a = 0|2|3

4th → a, 0th → b, |a-b|=2

⛔Avoid

Jump(3,4) = 2

max {p5, p3, p0} = 5

⟨⋯ a ⋯ 1 ⋯⟩, a = 0|5

2nd → a, 0th → b, ab=12

5th|3rd|2nd|1st → 1

#125034_v2.8

2025-01-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

{p5, p4, p2, p1} = ? + {0,1,3,4}

Jump(0,2) ≥ 4

⛔Avoid

⟨⋯ 6 ⋯ a ⋯⟩, a = 0|3|5

{p6, p4, p1, p0} = ? + {0,1,2,4}

⟨ ⁶ᵗʰa   ⁴ᵗʰb         ⟩, (ab)₁₀ ≤ 34

#125034_v2.8

2025-01-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, a > b

{p5, p3, p0} = ? + {0,1,3}

⟨⋯ ? ⋯ 2 ⋯ (?−3)⟩ (?≠5)

⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 35

5th|3rd|2nd|0th → 4

⛔Avoid

⟦4,5⟧ ∋ 2,3

min ⊢2⊣ ≥ 1

#125034_v2.8