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2024-01-30 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
6th → a, 4th → b, |a-b|=1
⟨⋯ 1 ⋯ 2 ⋯ 5 ⋯ 6 ⋯⟩

⛔Avoid
⟨⋯ 5 ⋯ a ⋯⟩, a = 2|3|4
⟨⋯ 1 ⋯ ? 5 ⋯ (?+4)⟩ (?≠1)
⟨⋯ 2 ⋯ a ⋯⟩, a = 1|4
⟨? 4 ⋯ (?−1) ⋯ 6 ⋯⟩ (?≠4,5)
3rd → 0|2|4|6

#125034_v2.3

2024-01-30 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
1st → a, 0th → b, |a-b|=2
⟦0,5⟧ ∋ 2,4
Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ1 ³ʳᵈ0 ²ⁿᵈ4 ¹ˢᵗ5 ⁰ᵗʰ3 ⟩ ≤ 1
4th → a, 1st → b, a+b=6

⛔Avoid
⟨? ⋯ 1 ⋯ (?−2) ⋯⟩ (?≠3)

#125034_v2.3

2024-01-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
6th → a, 3rd → b, ab=2
⟨⋯ ? ⋯ 3 ⋯ (?+6)⟩
5th → 0|3|4|6
⟨⋯ Perm(1,3,4) ⋯⟩

⛔Avoid
⟨⋯ Perm(1,3) ⋯⟩

#125034_v2.3

2024-01-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰa     ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 512
⟨ ⁵ᵗʰc ⁴ᵗʰa   ²ⁿᵈb     ⟩, a > b > c
⟨⋯ Perm(1,2) ⋯⟩
⟨⋯ 2 ⋯ 3 ⋯⟩

⛔Avoid
3rd → a, 0th → b, ab=3+5n
2nd → a, 1st → b, |a-b|=1
2nd → a, 1st → b, a+b=6

#125034_v2.3