2024-04-11 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁶ᵗʰ↑ ⁵ᵗʰ↑ ⁴ᵗʰ↓ ³ʳᵈ= ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↓ ⟩ after ⟨⇌⟩

3rd → 1

⟨⋯ 6 ⋯ a ⋯⟩, a = 1|2|3|4

6th → a, 1st → b, |a-b|=2

⛔Avoid

min ⊢5⊣ ≤ 2

5th → a, 3rd → b, ab=3

#125034_v2.4

2024-04-11 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

2nd → a, 1st → b, a+b=4+5n

⟨⋯ 0 ⋯ 2 ⋯ 3 ⋯⟩

⟨       ²ⁿᵈa ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 15

4th → a, 0th → b, a+b=2+5n

#125034_v2.4

2024-04-09 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? 6 ⋯ (?−2) ⋯ 1 ⋯⟩ (?≠6)

⟨ ⁶ᵗʰb ⁵ᵗʰa       ¹ˢᵗc   ⟩, a > b > c

⟨Perm(1,3,5,6) Perm(0,2,4)⟩

2nd → 1|2|4

⛔Avoid

max ⊢1⊣ ≤ 4

3rd → 4|5|6

3rd → a, 0th → b, ab=2+4n

⟨⋯ 3 ⋯ ? ⋯ 2 (?−6)⟩

#125034_v2.4

2024-04-09 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨   ⁴ᵗʰa     ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c

1st → a, 0th → b, ab=0

⛔Avoid

min ⊢4⊣ ≤ 2

⟨   ⁴ᵗʰa ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 320

#125034_v2.4