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2026-04-02 Q1(m=6)

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

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

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

⛔Avoid
⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, max⟦a,b⟧ = 6

#125034_v2.12

2026-04-02 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
median {p4, p3, p2} = 2
⟨ ⁵ᵗʰ↑ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↓ ⟩ after ⟨⇌⟩
4th → 0|3|4|5
2nd → 0|2|3|5
{p4, p2, p0} = ? + {0,2,3}

⛔Avoid
⟦0,4⟧ ∋ 2

#125034_v2.12

2026-03-31 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨   ⁴ᵗʰa ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 135
⟦4,5⟧ ∋ 1,2
⟨Perm(0,2,5) Perm(1,3,4)⟩
2nd|0th → 3

⛔Avoid
⟨⋯ 4 ⋯ a ⋯⟩, a = 2|3|5

#125034_v2.12

2026-03-31 Q1(v=1)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨? ⋯ 1 ⋯ (?−1) ⋯⟩ (?≠1,2)
⟨⋯ 0 ⋯ 1 ⋯⟩
⟨⋯ 2 ⋯ 5 ⋯⟩
⟨? ⋯ 2 ⋯ (?+1) ⋯⟩ (?≠2,1)

⛔Avoid
⟨⋯ 2 ⋯ 3 ⋯⟩
⟨⋯ 4 ⋯ 3 ⋯ 2 ⋯⟩
⟨⋯ ? ⋯ 5 ⋯ (?+2)⟩ (?≠3)

#125034_v2.12