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2026-05-15 Q1(v=1)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
3rd → a, 0th → b, ab=4

⛔Avoid
5th → a, 2nd → b, a+b=5
⟨ ⁵ᵗʰa         ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 43
⟨ ⁵ᵗʰa ⁴ᵗʰb       ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 302
⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 10

#125034_v2.13

2026-05-15 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
{p5, p4, p2} = ? + {0,2,3}
⟨⋯ ᵃb ⋯⟩, a+b=1
⟨⋯ Perm(3,5) ⋯⟩
4th → a, 0th → b, |a-b|=1

⛔Avoid
1st → 5
4th → a, 0th → b, a+b=5
Jump(1,2) = 3

#125034_v2.13

2026-05-14 Q1(m=6)

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

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

✅Match
1 ∾ 2 ∾ 5 ∾ 6
2nd → a, 0th → b, |a-b|=2
⟨⋯ 3 ⋯ 5 ⋯ 6 ⋯ 4 ⋯⟩

⛔Avoid
⟨⋯ ᵃb ⋯⟩, ab=5
min {p5, p3, p1} = 0

#125034_v2.13

2026-05-14 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ ᵃb ⋯⟩, a+b=5
⟨? ⋯ 5 ⋯ (?+2) ⋯⟩ (?≠3)
4th → 0|1|2

⛔Avoid
5th → a, 3rd → b, |a-b|=1
0 ∾ 5
3rd → a, 2nd → b, a+b=9
4th → a, 3rd → b, |a-b|=5
⟦2,4⟧ ∋ 3

#125034_v2.13