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2024-12-01 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 6 ⋯ ? 4 ⋯ (?+3)⟩ (?≠1)
6th → a, 2nd → b, a+b=5
5th → a, 4th → b, a+b=1+5n

⛔Avoid
max ⊢0⊣ ≥ 4

#125034_v2.7

2024-12-01 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
2nd → a, 0th → b, |a-b|=1
⟨⋯ Perm(0,2,5) ⋯⟩
4th|0th → 0
⟨ ⁵ᵗʰa     ²ⁿᵈc   ⁰ᵗʰb ⟩, a > b > c
⟨⋯ ? ⋯ 3 ⋯ (?−1)⟩ (?≠3,4)

#125034_v2.7

2024-11-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? ⋯ 0 ⋯ (?+4) ⋯⟩ (?≠0)
⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, min⟦a,b⟧ = 1
⟨⋯ Perm(1,4) ⋯⟩
⟨⋯ 5 ⋯ 6 ⋯⟩
max ⊢5⊣ = 5

⛔Avoid
⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5
⟦2,4⟧ ∋ 0,1,5

#125034_v2.7

2024-11-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th|1st|0th → 0
⟨? ⋯ 4 ⋯ (?−3) ⋯⟩ (?≠4)
⟨ ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc       ⟩, (abc)₁₀ ≥ 401
⟨         ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after ⟨→⟩

⛔Avoid
⟨? ⋯ 4 ⋯ (?−2) ⋯⟩ (?≠4)
1st → a, 0th → b, a+b=2
4th → a, 0th → b, a+b=4

#125034_v2.7