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2026-09-13 Q1(m=6)

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

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

✅Match
max {p5, p3, p0} = 6
1st → a, 0th → b, a+b=5
⟨⋯ ᵃb ⋯⟩, |a-b|=4
⟨     ⁴ᵗʰa ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 423

⛔Avoid
⟨⋯ ᵃb ⋯⟩, ab=18
⟨? ⋯ 6 ⋯ (?−2) ⋯⟩ (?≠6)
⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 50

#125034_v2.14

2026-09-13 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

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

#125034_v2.14

2026-09-11 Q1(v=0)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
Sim⟨ ⁵ᵗʰ3 ⁴ᵗʰ2 ³ʳᵈ1 ²ⁿᵈ5 ¹ˢᵗ4 ⁰ᵗʰ0 ⟩ = 0
Sim⟨ ⁵ᵗʰ0 ⁴ᵗʰ2 ³ʳᵈ1 ²ⁿᵈ4 ¹ˢᵗ3 ⁰ᵗʰ5 ⟩ = 1

⛔Avoid
Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ3 ³ʳᵈ5 ²ⁿᵈ1 ¹ˢᵗ2 ⁰ᵗʰ0 ⟩ ≤ 1
Sim⟨ ⁵ᵗʰ1 ⁴ᵗʰ3 ³ʳᵈ0 ²ⁿᵈ2 ¹ˢᵗ5 ⁰ᵗʰ4 ⟩ ≥ 1
Sim⟨ ⁵ᵗʰ5 ⁴ᵗʰ0 ³ʳᵈ4 ²ⁿᵈ2 ¹ˢᵗ3 ⁰ᵗʰ1 ⟩ = 1
Sim⟨ ⁵ᵗʰ5 ⁴ᵗʰ4 ³ʳᵈ1 ²ⁿᵈ2 ¹ˢᵗ3 ⁰ᵗʰ0 ⟩ ≥ 1

#125034_v2.14

2026-09-11 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ ᵃb ⋯⟩, a+b=8
{p4, p3, p1} = ? + {0,1,2}
⟨⋯ 3 ⋯ a ⋯⟩, a = 0|2|4|5
5th → a, 0th → b, |a-b|=1
4th → a, 0th → b, a+b=5

⛔Avoid
⟨? ⋯ 5 ⋯ (?−1) ⋯⟩ (?≠5)
max {p5, p3, p1} = 3

#125034_v2.14