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2026-09-29 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟦2,5⟧ ∋ 4
{p4, p3, p1} = ? + {0,2,3}
5th|4th|2nd|0th → 3

⛔Avoid
⟨⋯ 2 ⋯ a ⋯⟩, a = 0|4|5
4th → a, 0th → b, ab=2+4n
⟨⋯ Perm(0,4,5) ⋯⟩

#125034_v2.15

2026-09-29 Q1(m=6)

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

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
{p5, p3, p2, p0} = ? + {0,1,3,4}
⟨ ⁶ᵗʰ↑ ⁵ᵗʰ↓ ⁴ᵗʰ= ³ʳᵈ= ²ⁿᵈ= ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after 6−⟨⇌⟩
⟨? 5 ⋯ (?+2) ⋯ 4 ⋯⟩ (?≠3)

#125034_v2.15

2026-09-27 Q1(m=6)

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

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
3rd → a, 2nd → b, a+b=7
5th → a, 3rd → b, a+b=4
⟨ ⁶ᵗʰ↑ ⁵ᵗʰ↓ ⁴ᵗʰ= ³ʳᵈ= ²ⁿᵈ= ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after 6−⟨⇌⟩

⛔Avoid
⟨ ⁶ᵗʰa       ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 063

#125034_v2.15

2026-09-27 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
3rd → a, 2nd → b, |a-b|=2
max {p5, p2, p0} = 4
⟨⋯ Perm(0,2,5) ⋯⟩
5th|2nd|1st|0th → 0

⛔Avoid
⟨ ▧ ▧ − ▢ ▢ − ⟩, Σ▧ ≥ Σ▢
⟦1,4⟧ ∋ 3
⟨? 1 ⋯ (?+2) ⋯ 4 ⋯⟩ (?≠1)

#125034_v2.15