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2026-05-17 Q1(v=0)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ 2 ⋯ a ⋯⟩, a = 0|1|5
⟨⋯ a ⋯ 3 ⋯⟩, a = 0|2|5
⟨? ⋯ 0 (?−1) ⋯ 2 ⋯⟩ (?≠1)

⛔Avoid
⟨⋯ a ⋯ 3 ⋯⟩, a = 1|4

#125034_v2.13

2026-05-17 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨ ▧ ▧ − − − ▢ ⟩, Σ▧ ≥ ▢
⟨? 1 ⋯ (?+1) ⋯ 4 ⋯⟩ (?≠1,0)
3rd → a, 0th → b, a+b=2+5n
⟨   ⁴ᵗʰb     ¹ˢᵗc ⁰ᵗʰa ⟩, a > b > c

#125034_v2.13

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