2025-04-03 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → 3

⟨   ⁵ᵗʰb   ³ʳᵈa ²ⁿᵈc     ⟩, a > b > c

⟨   ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc       ⟩, (abc)₁₀ ≥ 436

⛔Avoid

⟨⋯ 6 ⋯ 1 ⋯⟩

4th → a, 0th → b, a+b=3+5n

⟨⋯ 1 ⋯ ? ⋯ 0 (?−4)⟩ (?≠4)

6th|5th|3rd|2nd|0th → 0

#125034_v2.8

2025-04-03 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁵ᵗʰc ⁴ᵗʰa   ²ⁿᵈb     ⟩, a > b > c

2nd → a, 1st → b, ab=1+4n

⟦3,4⟧ ∋ 1,5

⛔Avoid

⟨⋯ Perm(0,2,3) ⋯⟩

⟨⋯ 0 ⋯ ? 2 ⋯ (?+3)⟩ (?≠2)

#125034_v2.8

2025-04-01 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Sim⟨ ⁵ᵗʰ0 ⁴ᵗʰ2 ³ʳᵈ5 ²ⁿᵈ4 ¹ˢᵗ1 ⁰ᵗʰ3 ⟩ ≤ 1

min ⊢4⊣ ≤ 1

⟨⋯ 0 ⋯ a ⋯⟩, a = 2|3

5th → 0|2|4

⟨   ⁴ᵗʰa     ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5

⛔Avoid

{p4, p1, p0} = ? + {0,1,2}

⟨? 5 ⋯ (?+1) ⋯ 1 ⋯⟩ (?≠4)

1st → a, 0th → b, |a-b|=2

Jump(3,4) ≥ 2

max ⊢4⊣ = 4

#125034_v2.8

2025-04-01 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

Sim⟨ ⁶ᵗʰ2 ⁵ᵗʰ0 ⁴ᵗʰ6 ³ʳᵈ3 ²ⁿᵈ5 ¹ˢᵗ4 ⁰ᵗʰ1 ⟩ = 2

{p6, p4, p3} = ? + {0,1,2}

⟦2,4⟧ ∋ 1,3

{p6, p5, p3, p0} = ? + {0,1,2,3}

⛔Avoid

⟨⋯ 5 ⋯ ? ⋯ 6 (?−1)⟩ (?≠6)

#125034_v2.8