Blog of 125034

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦5,6⟧ ∋ 4

4th → a, 1st → b, |a-b|=2

6th → a, 5th → b, a+b=3

⟨⋯ 0 ⋯ a ⋯⟩, a = 1|3|5|6

⛔Avoid

⟨⋯ Perm(2,5) ⋯⟩

Sim⟨ ⁶ᵗʰ1 ⁵ᵗʰ6 ⁴ᵗʰ5 ³ʳᵈ0 ²ⁿᵈ2 ¹ˢᵗ4 ⁰ᵗʰ3 ⟩ = 2

Sim⟨ ⁶ᵗʰ2 ⁵ᵗʰ6 ⁴ᵗʰ4 ³ʳᵈ5 ²ⁿᵈ1 ¹ˢᵗ3 ⁰ᵗʰ0 ⟩ ≤ 1

#125034_v2.0

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → a, 1st → b, |a-b|=1

4th → a, 1st → b, ab=3+5n

⟨⋯ 5 ⋯ 1 ⋯ 2 ⋯⟩

⛔Avoid

4th|3rd → 1

5th|3rd|2nd|1st → 0

#125034_v2.0

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 5 ⋯ ? ⋯ 3 (?+6)⟩

⟨ ⁶ᵗʰc ⁵ᵗʰd ³ʳᵈa ¹ˢᵗb ⟩, a > b > c > d

3rd → a, 0th → b, a+b=3+4n

#125034_v2.0

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁴ᵗʰb ³ʳᵈc ²ⁿᵈa ⟩, a > b > c

⟨? ⋯ 4 ⋯ (?−2) ⋯⟩ (?≠4)

⟨⋯ 0 ⋯ a ⋯⟩, a = 1|3

⟨⋯ 5 ⋯ 2 ⋯ 0 ⋯⟩

⛔Avoid

⟨⋯ 0 ⋯ 4 ⋯⟩

#125034_v2.0

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