2024-06-30 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

6th → a, 1st → b, a+b=2

⟨         ²ⁿᵈa ¹ˢᵗb   ⟩, max⟦a,b⟧ = 3

⛔Avoid

⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, max⟦a,b⟧ = 6

⟨ ⁶ᵗʰa ⁵ᵗʰb   ³ʳᵈc       ⟩, (abc)₁₀ ≥ 145

6th → a, 5th → b, |a-b|=4

5th → a, 3rd → b, ab=0+5n

#125034_v2.5

2024-06-30 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ³ʳᵈa ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 405

⛔Avoid

5th|4th|3rd|0th → 4

⟨⋯ a ⋯ 1 ⋯⟩, a = 0|3|4|5

Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ1 ³ʳᵈ3 ²ⁿᵈ0 ¹ˢᵗ2 ⁰ᵗʰ5 ⟩ ≤ 1

#125034_v2.5

2024-06-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦1,6⟧ ∋ 0,2,3,5

4th → a, 3rd → b, |a-b|=4

⟨⋯ 6 ⋯ 1 ⋯⟩

⛔Avoid

⟨       ³ʳᵈa ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≤ 126

⟨⋯ 2 ⋯ 3 ⋯⟩

⟨? 3 ⋯ (?−4) ⋯ 5 ⋯⟩

⟨⋯ 5 ⋯ ? 2 ⋯ (?−4)⟩ (?≠6)

#125034_v2.5

2024-06-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦3,4⟧ ∋ 1,2

4th → a, 3rd → b, a+b=0+4n

⟦4,5⟧ ∋ 1

⛔Avoid

⟨     ³ʳᵈa   ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 41

5th → a, 1st → b, |a-b|=2

#125034_v2.5