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2024-04-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
1st → 1
⟨ ⁶ᵗʰc ⁵ᵗʰa         ⁰ᵗʰb ⟩, a > b > c
5th → a, 3rd → b, |a-b|=2
4th → a, 2nd → b, |a-b|=1
⟨     ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗd ⁰ᵗʰc ⟩, a > b > c > d

#125034_v2.4

2024-04-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

⛔Avoid
4th|0th → 1
⟨⋯ 5 ⋯ a ⋯⟩, a = 1|2
⟨⋯ a ⋯ 4 ⋯⟩, a = 0|2|3|5
0th → 3|4|5
4th → a, 3rd → b, ab=6
max ⊢2⊣ = 4
5th → a, 2nd → b, a+b=6

#125034_v2.4

2024-04-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 1st → b, ab=2+4n
Jump(2,3) = 1
⟨ ⁶ᵗʰc       ²ⁿᵈa ¹ˢᵗb   ⟩, a > b > c

⛔Avoid
⟨⋯ 3 ⋯ 0 ⋯⟩
⟨⋯ ? ⋯ 6 ⋯ (?+1)⟩ (?≠5)
min ⊢5⊣ ≥ 2
6th → a, 3rd → b, ab=0+6n

#125034_v2.4

2024-04-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦2,3⟧ ∋ 0,1
⟦4,5⟧ ∋ 0,1,3
⟦1,2⟧ ∋ 0,4

⛔Avoid
⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, min⟦a,b⟧ = 0

#125034_v2.4