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2026-08-11 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
median {p2, p1, p0} = 4
Jump(0,5) = 3

⛔Avoid
⟨⋯ ᵃb ⋯⟩, a+b=6
⟨       ²ⁿᵈa ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 20

#125034_v2.14

2026-08-11 Q1(v=1)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
2nd → a, 0th → b, ab=3+5n
5th → a, 3rd → b, a+b=2+5n
⟨     ³ʳᵈ↓ ²ⁿᵈ↓     ⟩ after ⟨←⟩

⛔Avoid
⟨           ⁰ᵗʰ↑ ⟩ after ⟨←⟩

#125034_v2.14

2026-08-09 Q1(v=1)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ Perm(0,4) ⋯⟩
⟨⋯ Perm(1,2,5) ⋯⟩
4th → a, 1st → b, a+b=1+5n

⛔Avoid
5th → a, 2nd → b, ab=0+5n
⟨⋯ Perm(0,3,4) ⋯⟩
⟨Perm(2,3,5) Perm(0,1,4)⟩
⟨⋯ Perm(1,2,3) ⋯⟩

#125034_v2.14

2026-08-09 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ4 ³ʳᵈ0 ²ⁿᵈ1 ¹ˢᵗ3 ⁰ᵗʰ5 ⟩ ≤ 1
Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ0 ³ʳᵈ5 ²ⁿᵈ1 ¹ˢᵗ3 ⁰ᵗʰ2 ⟩ ≥ 2
⟨? ⋯ 3 ⋯ (?+3) ⋯⟩ (?≠0)

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

#125034_v2.14