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2025-03-30 WR

2025-03-30 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+4n
6th → 1
5th → 6
{p5, p1, p0} = ? + {0,2,4}
4th → a, 2nd → b, a+b=3+5n

⛔Avoid
4th → a, 1st → b, |a-b|=1

#125034_v2.8

2025-03-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(4,6) ⋯⟩
⟨ ⁶ᵗʰa     ³ʳᵈb       ⟩, min⟦a,b⟧ = 2
median {p3, p2, p1} = 1
⟨⋯ Perm(1,2,3) ⋯⟩

⛔Avoid
⟨? 6 ⋯ (?−2) ⋯ 2 ⋯⟩ (?≠6)
max ⊢1⊣ = 3

#125034_v2.8

2025-03-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(0,4,5) ⋯⟩
3rd → a, 2nd → b, |a-b|=5
⟨     ³ʳᵈa ²ⁿᵈb     ⟩, a > b
5th → 2|3|5

⛔Avoid
4th → 0|1|4
median {p5, p3, p2} = 3

#125034_v2.8