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2023-12-07 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(0,3,5) ⋯⟩
⟨ ⁵ᵗʰb ⁴ᵗʰc ³ʳᵈa       ⟩, a > b > c
2nd → a, 0th → b, a+b=5

⛔Avoid
⟦1,3⟧ ∋ 0,5
⟨⋯ 4 ⋯ 0 ⋯ 3 ⋯⟩
2nd → 3

#125034_v2.2

2023-12-05 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨     ⁴ᵗʰa ³ʳᵈb     ⁰ᵗʰc ⟩, a > b > c
⟨? ⋯ 1 (?+2) ⋯ 4 ⋯⟩ (?≠1)
⟨ ⁶ᵗʰ↓ ⁵ᵗʰ↑   ³ʳᵈ↑       ⟩ after ⟨→⟩

⛔Avoid
Jump(2,6) ≥ 1
⟨⋯ 2 ⋯ 6 ⋯⟩
6th|4th|2nd → 0

#125034_v2.2

2023-12-05 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
3rd → a, 0th → b, |a-b|=1
Jump(0,3) = 0
⟨⋯ 4 ⋯ 5 ⋯⟩
Jump(2,5) = 0
⟦0,2⟧ ∋ 1,5

⛔Avoid
⟨   ⁴ᵗʰc     ¹ˢᵗa ⁰ᵗʰb ⟩, a > b > c

#125034_v2.2

2023-12-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ ? ⋯ 2 ⋯ (?+2)⟩ (?≠2,0)
⟨⋯ Perm(1,5) ⋯⟩
4th → a, 0th → b, a+b=1+5n

⛔Avoid
⟨⋯ Perm(2,6) ⋯⟩
5th → a, 3rd → b, ab=0+5n
3rd → 1|2|4|5
⟨⋯ Perm(2,3,5) ⋯⟩
4th → a, 1st → b, a+b=1+6n

#125034_v2.2