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2024-11-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(2,4) = 2
⟨ ⁶ᵗʰa ⁵ᵗʰb   ³ʳᵈd   ¹ˢᵗc   ⟩, a > b > c > d
6th → a, 3rd → b, |a-b|=5
2nd → a, 1st → b, |a-b|=2

⛔Avoid
5th → a, 4th → b, a+b=3+4n

#125034_v2.7

2024-11-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨     ³ʳᵈc ²ⁿᵈb ¹ˢᵗa   ⟩, a > b > c
5th → a, 0th → b, a+b=4+5n

⛔Avoid
⟨⋯ a ⋯ 1 ⋯⟩, a = 3|4
5th → a, 2nd → b, |a-b|=3
⟨ ⁵ᵗʰc     ²ⁿᵈb   ⁰ᵗʰa ⟩, a > b > c

#125034_v2.7

2024-11-01 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 1st → b, |a-b|=2
2nd → a, 1st → b, |a-b|=3
5th → a, 3rd → b, |a-b|=4
⟨? ⋯ 3 ⋯ (?+3) ⋯⟩ (?≠3,0)

⛔Avoid
⟨       ³ʳᵈa ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 130
⟨⋯ 0 ⋯ 4 ⋯ 5 ⋯⟩

#125034_v2.7

2024-11-01 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
3rd|2nd|0th → 0
5th → 0|2|5
5th → a, 0th → b, |a-b|=1
min {p4, p2, p0} = 1

⛔Avoid
0th → 1|3
4th → 0|1|2

#125034_v2.7