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2026-09-08 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
4th → a, 3rd → b, ab=10
⟨   ⁴ᵗʰa     ¹ˢᵗb   ⟩, min⟦a,b⟧ = 1
5th → a, 1st → b, |a-b|=1
5th|4th|2nd → 2

⛔Avoid
1st → a, 0th → b, |a-b|=2
{p4, p2, p1} = ? + {0,1,2}

#125034_v2.14

2026-09-08 Q1(m=6)

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

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

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

#125034_v2.14

2026-09-06 Q1(v=0)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
4th|2nd|1st|0th → 0

⛔Avoid
5th|3rd|0th → 4
4th|1st|0th → 4
5th|4th|0th → 2
5th|3rd|2nd → 3
5th|3rd|2nd|1st → 1
⟨⋯ ᵃb ⋯⟩, a+b=1

#125034_v2.14

2026-09-06 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟦2,5⟧ ∋ 3,4
2nd → a, 1st → b, ab=4+5n
⟨ ⁵ᵗʰ↑           ⟩ after 2×⟨←⟩

⛔Avoid
⟨   ⁴ᵗʰa     ¹ˢᵗb   ⟩, min⟦a,b⟧ = 1
5th|2nd → 4

#125034_v2.14