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2025-05-06 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨     ³ʳᵈa     ⁰ᵗʰb ⟩, min⟦a,b⟧ = 1

⛔Avoid
4th|2nd|1st|0th → 0
1st → 0|1|4
5th|4th|3rd|0th → 5
⟨⋯ 4 ⋯ a ⋯⟩, a = 0|1|2|3|5
0 ∾ 1 ∾ 3 ∾ 4 ∾ 5
⟨⋯ ? ⋯ 3 ⋯ (?+3)⟩ (?≠0)

#125034_v2.9

2025-05-06 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → 4|6
max {p2, p1} = 5
min ⊢4⊣ = 1
⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, max⟦a,b⟧ = 6
⟨ ⁶ᵗʰa       ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 310
median {p5, p3, p1} = 5

#125034_v2.9

2025-05-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
Sim⟨ ⁶ᵗʰ4 ⁵ᵗʰ5 ⁴ᵗʰ0 ³ʳᵈ3 ²ⁿᵈ6 ¹ˢᵗ1 ⁰ᵗʰ2 ⟩ ≥ 1
⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, max⟦a,b⟧ = 4
⟨⋯ Perm(1,2,4) ⋯⟩
⟨ − − − − ▧ ▧ ▢ ⟩, Σ▧ ≤ ▢
4th → a, 0th → b, |a-b|=4

⛔Avoid
1 ∾ 2 ∾ 3

#125034_v2.9

2025-05-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
min {p5, p3, p2} = 0
min ⊢3⊣ ≥ 2
⟦3,4⟧ ∋ 2
⟨     ³ʳᵈa     ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 45

⛔Avoid
⟨ ▧ ▧ − ▢ ▢ − ⟩, Σ▧ ≥ Σ▢
Jump(3,5) = 0

#125034_v2.9