2024-11-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 0 ⋯ (?+4) ⋯⟩ (?≠0)

⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, min⟦a,b⟧ = 1

⟨⋯ Perm(1,4) ⋯⟩

⟨⋯ 5 ⋯ 6 ⋯⟩

max ⊢5⊣ = 5

⛔Avoid

⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5

⟦2,4⟧ ∋ 0,1,5

#125034_v2.7

2024-11-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th|1st|0th → 0

⟨? ⋯ 4 ⋯ (?−3) ⋯⟩ (?≠4)

⟨ ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc       ⟩, (abc)₁₀ ≥ 401

⟨         ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after ⟨→⟩

⛔Avoid

⟨? ⋯ 4 ⋯ (?−2) ⋯⟩ (?≠4)

1st → a, 0th → b, a+b=2

4th → a, 0th → b, a+b=4

#125034_v2.7

2024-11-26 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(3,5) ≤ 1

⟨? ⋯ 2 ⋯ (?+4) ⋯⟩ (?≠2)

⟦0,6⟧ ∋ 4,5

⟦2,3⟧ ∋ 1,5,6

⛔Avoid

min {p5, p3, p1} = 1

#125034_v2.7

2024-11-26 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → a, 2nd → b, a+b=3

⟨ ⁵ᵗʰa   ³ʳᵈb       ⟩, min⟦a,b⟧ = 2

5th → a, 4th → b, |a-b|=1

min {p5, p2, p0} = 0

⛔Avoid

⟨⋯ ? ⋯ 5 ⋯ (?−2)⟩ (?≠5)

⟨⋯ 4 ⋯ ? ⋯ 1 (?+1)⟩ (?≠1,0)

#125034_v2.7