2024-10-31 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨   ⁵ᵗʰa     ²ⁿᵈb     ⟩, min⟦a,b⟧ = 2

3rd → 4

⟨⋯ 5 ⋯ 1 ⋯⟩

⟨   ⁵ᵗʰ↑   ³ʳᵈ↓ ²ⁿᵈ↓   ⁰ᵗʰ↓ ⟩ after 2×⟨←⟩

⛔Avoid

Sim⟨ ⁶ᵗʰ1 ⁵ᵗʰ2 ⁴ᵗʰ6 ³ʳᵈ5 ²ⁿᵈ0 ¹ˢᵗ3 ⁰ᵗʰ4 ⟩ = 2

#125034_v2.7

2024-10-31 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 4th → b, |a-b|=1

⟨⋯ 5 ⋯ 4 ⋯⟩

⟨⋯ Perm(0,5) ⋯⟩

⛔Avoid

⟨⋯ 1 ⋯ a ⋯⟩, a = 2|5

⟨? ⋯ 1 (?+1) ⋯ 4 ⋯⟩ (?≠1,0)

⟨⋯ ? ⋯ 0 ⋯ (?−1)⟩ (?≠1)

#125034_v2.7

2024-10-29 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

{p6, p4, p3, p2} = ? + {0,1,3,4}

2nd → 1|2|6

⟨? ⋯ 5 (?+4) ⋯ 3 ⋯⟩ (?≠1)

⛔Avoid

⟨     ⁴ᵗʰa   ²ⁿᵈc   ⁰ᵗʰb ⟩, a > b > c

#125034_v2.7

2024-10-29 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, max⟦a,b⟧ = 3

5th → a, 4th → b, a+b=4+5n

⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 20

⛔Avoid

median {p5, p2, p0} = 3

1 ∾ 2 ∾ 3

3rd → a, 1st → b, a+b=4+5n

#125034_v2.7