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

2026-08-07 Q1(m=6,v=1)

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

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

✅Match

⟨ − − ▧ ▧ ▧ ▢ ▢ ⟩, Σ▧ ≤ Σ▢

⟨ − − − ▧ ▧ − ▢ ⟩, Σ▧ ≥ ▢

⟨ ▧ − − − ▢ ▢ − ⟩, ▧ = Σ▢

⛔Avoid

⟨ ▧ ▧ − ▢ ▢ ▢ − ⟩, Σ▧ ≤ Σ▢

⟨⋯ ? ⋯ 0 ⋯ (?−1)⟩ (?≠1)

⟨? ⋯ 2 ⋯ (?+1) ⋯⟩ (?≠2,1)

⟨ − ▧ ▢ ▢ ▢ − − ⟩, ▧ ≥ Σ▢

#125034_v2.14

2026-08-07 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match

median {p5, p4, p1} = 1

⟨ ▧ ▧ − − ▢ ▢ ⟩, Σ▧ ≥ Σ▢

⟨   ⁴ᵗʰa     ¹ˢᵗb   ⟩, min⟦a,b⟧ = 1

⛔Avoid

4th → a, 3rd → b, ab=10

min {p4, p2, p0} = 2

#125034_v2.14