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2025-08-03 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
3rd → a, 2nd → b, ab=0
min {p6, p5} = 1
⟦0,6⟧ ∋ 1,3

⛔Avoid
⟨⋯ 0 ⋯ 5 ⋯⟩
min ⊢4⊣ ≤ 1
6th|5th|4th → 5

#125034_v2.9

2025-08-03 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(0,5) = 1
⟨? ⋯ 1 (?−3) ⋯ 4 ⋯⟩ (?≠4)
min {p4, p2, p0} = 1

⛔Avoid
⟨   ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≤ 243

#125034_v2.9

2025-08-01 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
Sim⟨ ⁶ᵗʰ5 ⁵ᵗʰ3 ⁴ᵗʰ4 ³ʳᵈ1 ²ⁿᵈ0 ¹ˢᵗ6 ⁰ᵗʰ2 ⟩ = 3
max ⊢2⊣ = 2
min ⊢6⊣ = 3
6th → a, 5th → b, |a-b|=3

⛔Avoid
⟦2,3⟧ ∋ 0,1
min {p5, p4, p1} = 0

#125034_v2.9

2025-08-01 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁵ᵗʰb     ²ⁿᵈa     ⟩, a > b
1st → 0|2|5
min {p4, p3, p1} = 0

⛔Avoid
⟨⋯ 5 ⋯ a ⋯⟩, a = 1|3|4
⟨? 1 ⋯ (?+1) ⋯ 5 ⋯⟩ (?≠1,0)
4th → a, 1st → b, a+b=0+5n
⟨     ³ʳᵈc ²ⁿᵈb   ⁰ᵗʰa ⟩, a > b > c
⟨? ⋯ 2 (?+3) ⋯ 3 ⋯⟩ (?≠2)
⟨   ⁴ᵗʰa     ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 235

#125034_v2.9