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2025-04-06 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(1,2,5) ⋯⟩
⟨⋯ Perm(0,3,4) ⋯⟩
⟨⋯ Perm(5,6) ⋯⟩

⛔Avoid
Jump(2,3) ≥ 2
⟨ ⁶ᵗʰa ⁵ᵗʰb   ³ʳᵈc       ⟩, a > b > c
3rd|1st → 2
max {p5, p4} = 3

#125034_v2.8

2025-04-06 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 2 ⋯ ? ⋯ 5 (?+2)⟩ (?≠3)
4th → a, 0th → b, a+b=2+5n
5th → a, 0th → b, |a-b|=4

⛔Avoid
⟨? ⋯ 1 ⋯ (?+2) ⋯⟩ (?≠1)

#125034_v2.8

2025-04-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
3rd → 0|1|4
⟨ ⁶ᵗʰ↓ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ= ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↑ ⟩ after ⟨⇌⟩
⟨       ³ʳᵈa     ⁰ᵗʰb ⟩, min⟦a,b⟧ = 1
{p5, p4, p2} = ? + {0,1,3}

#125034_v2.8

2025-04-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(0,3,5) ⋯⟩
3rd → a, 0th → b, a+b=2+5n

⛔Avoid
Jump(0,2) = 0
0th → 3
⟨⋯ a ⋯ 2 ⋯⟩, a = 1|4|5
⟨? ⋯ 5 ⋯ (?−2) ⋯⟩ (?≠5)

#125034_v2.8