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2023-12-12 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 3rd → b, ab=0
⟨⋯ ? ⋯ 1 ⋯ (?+5)⟩
4th → a, 2nd → b, a+b=2+4n

⛔Avoid
5th → 0|1|4
Jump(1,2) = 2

#125034_v2.2

2023-12-11 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(1,2) = 1
4th → 1
Jump(2,4) = 2
Jump(3,6) = 1

⛔Avoid
5th|4th|3rd|0th → 6
⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 16

#125034_v2.2

2023-12-10 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? ⋯ 1 (?+2) ⋯ 2 ⋯⟩ (?≠1)
Jump(4,5) = 2
⟨ ⁶ᵗʰa         ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 13
6th|5th|4th|2nd|0th → 6

⛔Avoid
⟦2,4⟧ ∋ 1
5th → a, 2nd → b, a+b=2+4n
2nd → a, 1st → b, a+b=10
⟨? ⋯ 2 ⋯ (?−3) ⋯⟩ (?≠5)

#125034_v2.2

2023-12-10 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨       ²ⁿᵈa ¹ˢᵗb   ⟩, a > b
⟨⋯ Perm(3,4,5) ⋯⟩

⛔Avoid
4th → a, 2nd → b, ab=0+4n
0 ∾ 1 ∾ 3
Sim⟨ ⁵ᵗʰ5 ⁴ᵗʰ1 ³ʳᵈ4 ²ⁿᵈ3 ¹ˢᵗ2 ⁰ᵗʰ0 ⟩ = 1
⟨⋯ 2 ⋯ a ⋯⟩, a = 0|1|4
⟨⋯ 4 ⋯ 1 ⋯⟩

#125034_v2.2