2025-06-08 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 6 (?−2) ⋯ 2 ⋯⟩ (?≠6)

⟨       ³ʳᵈa     ⁰ᵗʰb ⟩, max⟦a,b⟧ = 6

⟦2,3⟧ ∋ 0

⟨⋯ ? ⋯ 5 ⋯ (?−3)⟩ (?≠5)

1st → 5

#125034_v2.9

2025-06-08 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 3 ⋯ 4 ⋯⟩

⟨⋯ Perm(3,4) ⋯⟩

5th → a, 4th → b, |a-b|=1

min {p5, p4, p2} = 1

1st → 1|4|5

⛔Avoid

3rd → a, 0th → b, a+b=5

⟦2,5⟧ ∋ 1,3

Jump(0,3) = 2

1st → a, 0th → b, a+b=7

#125034_v2.9

2025-06-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁶ᵗʰa ⁵ᵗʰc         ⁰ᵗʰb ⟩, a > b > c

3rd → a, 2nd → b, ab=4+6n

⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, max⟦a,b⟧ = 5

⛔Avoid

min ⊢3⊣ ≥ 2

⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5

min {p4, p2, p0} = 0

3rd → a, 0th → b, a+b=1+5n

⟨⋯ Perm(1,3,5) ⋯⟩

#125034_v2.9

2025-06-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ a ⋯ 3 ⋯⟩, a = 0|1|2|4|5

⟨⋯ Perm(0,2) ⋯⟩

Sim⟨ ⁵ᵗʰ0 ⁴ᵗʰ3 ³ʳᵈ4 ²ⁿᵈ2 ¹ˢᵗ5 ⁰ᵗʰ1 ⟩ ≥ 1

2nd → 1|2|5

⟨   ⁴ᵗʰ↑   ²ⁿᵈ↑     ⟩ after 2×⟨←⟩

⛔Avoid

Jump(3,5) = 1

⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ↑ ²ⁿᵈ↓ ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after ⟨⇌⟩

⟨ ⁵ᵗʰ↑ ⁴ᵗʰ↓ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after ⟨⇌⟩

⟨⋯ Perm(0,4) ⋯⟩

⟨⋯ 2 ⋯ ? 3 ⋯ (?+3)⟩ (?≠0)

3rd → a, 1st → b, a+b=4

#125034_v2.9