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2024-03-03 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(1,3,6) ⋯⟩
5th → 1|2|4|5
⟨⋯ 3 ⋯ a ⋯⟩, a = 2|5
1st → 1
⟨ ⁶ᵗʰa         ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c

⛔Avoid
5th → a, 3rd → b, |a-b|=1
6th|4th|2nd|1st|0th → 6

#125034_v2.3

2024-03-03 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ1 ³ʳᵈ5 ²ⁿᵈ4 ¹ˢᵗ3 ⁰ᵗʰ0 ⟩ ≤ 1
4th → 0|3|5
3rd → a, 1st → b, |a-b|=4
⟨⋯ 0 ⋯ 5 ⋯ 3 ⋯⟩

⛔Avoid
2nd|1st → 1

#125034_v2.3

2024-03-01 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 0 ⋯ 3 ⋯⟩
Jump(1,5) = 4
⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 13
2nd → a, 0th → b, ab=4+5n

⛔Avoid
4th|3rd|2nd → 6
3rd → a, 2nd → b, a+b=3+4n

#125034_v2.3

2024-03-01 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
2nd → a, 0th → b, ab=0
⟨⋯ 5 ⋯ 1 ⋯ 0 ⋯⟩

⛔Avoid
1st → 2|3
⟨⋯ Perm(2,3,5) ⋯⟩
⟨? ⋯ 4 ⋯ (?−1) ⋯⟩ (?≠4,5)
⟨     ³ʳᵈa   ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 34
⟨⋯ a ⋯ 3 ⋯⟩, a = 0|1|5

#125034_v2.3