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2026-07-03 Q1(m=6)

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

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

✅Match
⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, min⟦a,b⟧ = 1
⟦0,6⟧ ∋ 2,3,4
max {p5, p4} = 3
⟦1,4⟧ ∋ 5

⛔Avoid
⟨         ²ⁿᵈa   ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 56
5th → 0|1|3

#125034_v2.13

2026-07-03 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
4th|3rd|2nd → 2
⟨⋯ ᵃb ⋯⟩, a+b=7
⟨ − ▧ ▧ ▧ ▢ ▢ ⟩, Σ▧ ≤ Σ▢

⛔Avoid
⟨⋯ a ⋯ 4 ⋯⟩, a = 0|1
⟨⋯ 2 ⋯ 5 ⋯ 1 ⋯⟩
⟨⋯ Perm(0,3) ⋯⟩
⟨? ⋯ 4 ⋯ (?−3) ⋯⟩ (?≠4)

#125034_v2.13

2026-07-02 Q1(v=0)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
4th → a, 0th → b, a+b=3+5n
5th → a, 1st → b, ab=4+5n
5th → a, 2nd → b, a+b=2+4n

⛔Avoid
2nd → a, 1st → b, ab=0+5n
4th → a, 3rd → b, a+b=0+4n
4th → a, 0th → b, ab=3+4n

#125034_v2.13

2026-07-02 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨   ⁴ᵗʰ↑   ²ⁿᵈ↑   ⁰ᵗʰ↓ ⟩ after 2×⟨←⟩
{p4, p3, p1} = ? + {0,1,2}
⟨   ⁴ᵗʰb ³ʳᵈc ²ⁿᵈa     ⟩, a > b > c
5th → a, 4th → b, ab=3

#125034_v2.13