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2024-08-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
min ⊢4⊣ = 3
⟨? ⋯ 0 ⋯ (?+4) ⋯⟩ (?≠0)
⟨⋯ 6 ⋯ ? 1 ⋯ (?−2)⟩ (?≠3)

⛔Avoid
⟨⋯ ? ⋯ 5 ⋯ (?−2)⟩ (?≠5)
⟨ ⁶ᵗʰa ⁵ᵗʰb       ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 213

#125034_v2.6

2024-08-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
3rd → a, 1st → b, ab=20
1st → a, 0th → b, ab=2+4n
4th|2nd|1st → 3

⛔Avoid
5th → a, 1st → b, |a-b|=5
⟨⋯ 4 ⋯ 0 ⋯ 2 ⋯⟩

#125034_v2.6

2024-08-01 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
{p6, p5, p1, p0} = ? + {0,1,2,3}
1st → 5
⟨         ²ⁿᵈc ¹ˢᵗb ⁰ᵗʰa ⟩, a > b > c

⛔Avoid
min ⊢5⊣ ≤ 1
4th → 1
{p6, p3, p2} = ? + {0,1,3}

#125034_v2.6

2024-08-01 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 1st → b, |a-b|=3
5th → a, 2nd → b, a+b=7
4th → a, 1st → b, a+b=6
⟨⋯ Perm(2,4,5) ⋯⟩

#125034_v2.6