2025-09-14 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

1st → 0|4|5

min {p3, p2} = 2

6th → a, 1st → b, |a-b|=3

⟨   ⁵ᵗʰc ⁴ᵗʰb ³ʳᵈa       ⟩, a > b > c

⛔Avoid

⟨       ³ʳᵈa   ¹ˢᵗb   ⟩, min⟦a,b⟧ = 2

⟨   ⁵ᵗʰa         ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 30

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

#125034_v2.10

2025-09-14 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ Perm(2,3,4) ⋯⟩

⟨ ▧ − − − ▢ ▢ ⟩, ▧ ≥ Σ▢

Jump(2,5) ≤ 1

⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, a > b

⛔Avoid

⟨⋯ ? ⋯ 3 ⋯ (?−1)⟩ (?≠3,4)

4th|0th → 2

⟨ ▧ ▢ ▢ − − − ⟩, ▧ ≥ Σ▢

#125034_v2.10

2025-09-12 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ Perm(0,3,5) ⋯⟩

⟨⋯ 6 ⋯ 1 ⋯ 4 ⋯ 5 ⋯⟩

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

#125034_v2.10

2025-09-12 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ³ʳᵈb   ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c

5th → a, 0th → b, a+b=3+5n

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

⛔Avoid

⟨ ⁵ᵗʰb       ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c

#125034_v2.10

2025-09-11 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 4th → b, a+b=0+4n

1st → a, 0th → b, a+b=0+5n

⟨⋯ Perm(2,3,5) ⋯⟩

3rd → a, 0th → b, ab=2

⛔Avoid

⟨       ³ʳᵈa     ⁰ᵗʰb ⟩, max⟦a,b⟧ = 5

5th → a, 2nd → b, ab=18

⟨⋯ Perm(3,5,6) ⋯⟩

#125034_v2.10

2025-09-11 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

min ⊢3⊣ ≥ 1

⟨   ⁴ᵗʰa     ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 215

5th → 1|4

3rd → a, 0th → b, a+b=1+4n

⛔Avoid

2nd|1st → 0

2nd → 3|4|5

max ⊢1⊣ ≤ 4

#125034_v2.10

2025-09-09 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

2nd → a, 0th → b, a+b=2+5n

4th → a, 2nd → b, |a-b|=4

4th → a, 3rd → b, a+b=4+5n

⛔Avoid

5th → a, 4th → b, ab=0+5n

⟨⋯ Perm(0,4,5) ⋯⟩

#125034_v2.10

2025-09-09 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

0th → 0|2

{p6, p5, p2, p1} = ? + {0,1,2,3}

⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, min⟦a,b⟧ = 0

⛔Avoid

3rd → a, 0th → b, |a-b|=1

Jump(5,6) ≤ 1

⟨⋯ 0 ⋯ 4 ⋯ 5 ⋯⟩

min ⊢4⊣ = 1

⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, max⟦a,b⟧ = 6

#125034_v2.10

2025-09-07 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 2 ⋯ ? ⋯ 1 (?+1)⟩ (?≠1,0)

⟨       ³ʳᵈa   ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5

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

max {p5, p2, p0} = 6

⛔Avoid

min ⊢2⊣ ≥ 1

6th → a, 3rd → b, ab=8

#125034_v2.10

2025-09-07 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 4th → b, ab=3+5n

⟨ ▧ − − − ▢ ▢ ⟩, ▧ ≥ Σ▢

median {p5, p3, p1} = 4

⛔Avoid

⟦1,4⟧ ∋ 0,2,3

⟨⋯ 5 ⋯ 1 ⋯ 3 ⋯⟩

#125034_v2.10

2025-09-05 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨   ⁵ᵗʰa ⁴ᵗʰb       ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 563

⟨ − ▧ − ▢ ▢ ▢ − ⟩, ▧ = Σ▢

4th → a, 0th → b, |a-b|=5

⛔Avoid

⟨ ▧ − ▢ ▢ − − − ⟩, ▧ ≤ Σ▢

min {p6, p3, p1} = 1

median {p2, p1, p0} = 2

#125034_v2.10

2025-09-05 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 40

⟨? ⋯ 2 ⋯ (?+4) ⋯⟩

0 ∾ 2 ∾ 3

⛔Avoid

min ⊢5⊣ ≥ 1

⟨ − ▧ ▧ − ▢ ▢ ⟩, Σ▧ ≥ Σ▢

#125034_v2.10

2025-09-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

max {p6, p5, p3} = 4

6th → a, 2nd → b, a+b=5

3rd → a, 0th → b, a+b=10

Jump(0,1) = 3

Jump(0,5) ≥ 2

⛔Avoid

⟨⋯ a ⋯ 3 ⋯⟩, a = 2|4|5|6

#125034_v2.10

2025-09-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, max⟦a,b⟧ = 5

1st → 0|4|5

⛔Avoid

Jump(0,3) = 0

⟨     ³ʳᵈa     ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 25

Jump(1,3) ≤ 3

⟨⋯ 2 ⋯ 4 ⋯⟩

#125034_v2.10

2025-09-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → a, 1st → b, |a-b|=1

4th|1st → 0

⟨     ³ʳᵈa ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 43

⛔Avoid

2nd → a, 1st → b, ab=0

5th → a, 0th → b, |a-b|=1

⟨⋯ 4 ⋯ ? 1 ⋯ (?+2)⟩ (?≠1)

⟨⋯ ? ⋯ 5 ⋯ (?+2)⟩ (?≠3)

#125034_v2.10

2025-09-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 4 ⋯ 1 ⋯ 2 ⋯⟩

{p6, p5, p2, p1} = ? + {0,1,2,3}

4th → a, 2nd → b, |a-b|=6

⛔Avoid

Jump(0,5) ≤ 1

⟨ ⁶ᵗʰa ⁵ᵗʰb ⁴ᵗʰd       ⁰ᵗʰc ⟩, a > b > c > d

#125034_v2.10