2025-10-30 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, max⟦a,b⟧ = 5

⟨⋯ 5 ⋯ ? ⋯ 4 (?−3)⟩ (?≠4)

4th → a, 2nd → b, a+b=3+5n

3rd → 1|2|3|5|6

max {p5, p2, p0} = 6

⛔Avoid

⟨⋯ 6 ⋯ 3 ⋯ 5 ⋯⟩

2nd → a, 0th → b, |a-b|=3

4th → a, 3rd → b, |a-b|=4

#125034_v2.10

2025-10-30 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

median {p5, p4, p0} = 4

5th → a, 4th → b, ab=5

⟨? ⋯ 2 ⋯ (?+2) ⋯⟩ (?≠2,0)

⛔Avoid

⟨⋯ Perm(2,5) ⋯⟩

#125034_v2.10

2025-10-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ ? ⋯ 1 ⋯ (?+1)⟩ (?≠1,0)

3rd → a, 1st → b, ab=2+5n

⟨⋯ Perm(0,2,3) ⋯⟩

⛔Avoid

max ⊢0⊣ ≤ 4

#125034_v2.10

2025-10-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 5 ⋯ ? 0 ⋯ (?−2)⟩ (?≠2)

⟨ ⁶ᵗʰa     ³ʳᵈb       ⟩, min⟦a,b⟧ = 0

⟨? ⋯ 1 (?−2) ⋯ 2 ⋯⟩ (?≠3)

⛔Avoid

6th|5th|3rd|1st|0th → 1

min ⊢4⊣ ≥ 3

5th → a, 2nd → b, |a-b|=5

#125034_v2.10