Blog of 125034

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(5,6) = 2

⟨? ⋯ 6 ⋯ (?−1) ⋯⟩ (?≠6)

⟨ ⁶ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↓ ⟩ after 3×⟨←⟩

2nd → 2|4|6

⛔Avoid

⟨ ²ⁿᵈa ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 215

#125034_v1.7

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

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

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

⛔Avoid

2nd → a, 0th → b, |a-b|=1

5th → a, 1st → b, ab=0+4n

#125034_v1.7

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 4 ⋯ ? ⋯ 6 (?+4)⟩ (?≠2)

⟨⋯ 3 ⋯ 4 ⋯⟩

⟨ ⁴ᵗʰa ¹ˢᵗb ⟩, (ab)₁₀ ≥ 13

⛔Avoid

4th → a, 0th → b, ab=20

Jump(2,5) ≥ 2

#125034_v1.7

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → a, 1st → b, |a-b|=1

1st → 0

⟨⋯ 1 ⋯ ? 5 ⋯ (?+2)⟩ (?≠3)

⛔Avoid

3rd → a, 0th → b, a+b=2+4n

⟨⋯ 4 ⋯ 2 ⋯ 0 ⋯⟩

#125034_v1.7

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