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2025-07-31 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? 6 ⋯ (?+2) ⋯ 5 ⋯⟩ (?≠4)
⟨⋯ 2 ⋯ 0 ⋯ 1 ⋯⟩
⟦2,3⟧ ∋ 1

⛔Avoid
⟦5,6⟧ ∋ 1,3,4
median {p5, p2, p1} = 5

#125034_v2.9

2025-07-31 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
{p5, p3, p2} = ? + {0,1,3}
min {p5, p2, p0} = 2
⟨   ⁴ᵗʰa ³ʳᵈb       ⟩, (ab)₁₀ ≤ 04
⟨ ⁵ᵗʰa     ²ⁿᵈb ¹ˢᵗc   ⟩, a > b > c

#125034_v2.9

2025-07-29 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th|2nd → 0
Jump(2,4) = 2

⛔Avoid
⟨ ▧ ▧ ▧ ▢ ▢ ▢ ⟩, Σ▧ ≤ Σ▢
⟨⋯ a ⋯ 1 ⋯⟩, a = 2|4|5
⟨ ⁵ᵗʰa         ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 30

#125034_v2.9

2025-07-29 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
1st → 5
6th → 3
2nd → a, 1st → b, |a-b|=5
0th → 2
⟨       ³ʳᵈa   ¹ˢᵗb   ⟩, max⟦a,b⟧ = 6

⛔Avoid
6th → a, 4th → b, a+b=4+6n

#125034_v2.9