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2024-01-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
2nd → 1
6th → a, 3rd → b, ab=12
⟦2,4⟧ ∋ 0
4th → a, 2nd → b, a+b=4+6n

⛔Avoid
6th|5th|4th|0th → 5

#125034_v2.2

2024-01-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰa ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 145
⟨⋯ 3 ⋯ 0 ⋯⟩
5th|3rd|1st → 4
⟨? ⋯ 4 ⋯ (?−2) ⋯⟩ (?≠4)

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

#125034_v2.2

2024-01-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? ⋯ 3 (?−1) ⋯ 6 ⋯⟩ (?≠3,4)
⟨⋯ 0 ⋯ ? ⋯ 4 (?−1)⟩ (?≠4,5)

⛔Avoid
⟨⋯ a ⋯ 0 ⋯⟩, a = 1|3|4|5

#125034_v2.2

2024-01-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 2nd → b, ab=6
3rd → a, 0th → b, |a-b|=1
⟨   ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 325

⛔Avoid
3rd → a, 1st → b, a+b=0+5n

#125034_v2.2