2025-01-31 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

max ⊢0⊣ = 2

⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 26

⟨? ⋯ 5 ⋯ (?−2) ⋯⟩ (?≠5)

Jump(5,6) = 2

⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5

#125034_v2.8

2025-01-31 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(3,5) = 2

{p3, p1, p0} = ? + {0,2,3}

⟨     ³ʳᵈb ²ⁿᵈc ¹ˢᵗa   ⟩, a > b > c

⛔Avoid

Jump(0,3) = 0

⟨⋯ 0 ⋯ 5 ⋯ 2 ⋯⟩

#125034_v2.8

2025-01-30 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ Perm(0,3,6) ⋯⟩

⟨ ⁶ᵗʰb       ²ⁿᵈd ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c > d

⟨⋯ Perm(3,4) ⋯⟩

⛔Avoid

min ⊢3⊣ = 3

max {p5, p2, p1} = 6

#125034_v2.8

2025-01-30 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 0 ⋯ 1 ⋯ 3 ⋯⟩

4th → a, 3rd → b, ab=8

2nd → a, 0th → b, a+b=8

⛔Avoid

⟨⋯ Perm(4,5) ⋯⟩

#125034_v2.8

2025-01-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 2nd → b, a+b=2+5n

⟨     ³ʳᵈa ²ⁿᵈc   ⁰ᵗʰb ⟩, a > b > c

⟨? ⋯ 4 ⋯ (?+2) ⋯⟩ (?≠2)

⛔Avoid

⟨⋯ Perm(0,1) ⋯⟩

⟦3,4⟧ ∋ 1,2,5

#125034_v2.8

2025-01-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 0 ⋯ ? 3 ⋯ (?+4)⟩

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

⛔Avoid

⟨ ⁶ᵗʰa       ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 20

⟦2,6⟧ ∋ 1

{p4, p3, p1, p0} = ? + {0,1,2,3}

4th → a, 0th → b, |a-b|=2

#125034_v2.8

2025-01-26 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

2nd → a, 1st → b, a+b=7

6th → a, 1st → b, a+b=3

⟨? ⋯ 3 (?+4) ⋯ 2 ⋯⟩

⛔Avoid

⟨? ⋯ 4 ⋯ (?−1) ⋯⟩ (?≠4,5)

⟨ ⁶ᵗʰd       ²ⁿᵈa ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c > d

#125034_v2.8

2025-01-26 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 1 (?+3) ⋯ 2 ⋯⟩ (?≠1)

Jump(1,2) ≥ 2

⛔Avoid

⟨⋯ 2 ⋯ 5 ⋯⟩

⟦0,2⟧ ∋ 4,5

#125034_v2.8

2025-01-24 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → 1

Jump(0,2) = 0

6th → a, 4th → b, a+b=2+4n

⟨⋯ Perm(0,2,4) ⋯⟩

⛔Avoid

min ⊢1⊣ = 1

⟨⋯ 2 ⋯ 4 ⋯ 5 ⋯ 3 ⋯⟩

#125034_v2.8

2025-01-24 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁵ᵗʰa ⁴ᵗʰb     ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 215

⟨   ⁴ᵗʰa ³ʳᵈb   ¹ˢᵗc   ⟩, a > b > c

⟨   ⁴ᵗʰa       ⁰ᵗʰb ⟩, a > b

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

⛔Avoid

min {p5, p1, p0} = 0

4th|2nd|1st|0th → 3

#125034_v2.8

2025-01-23 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

{p3, p2, p1} = ? + {0,1,3}

⛔Avoid

⟨⋯ 3 ⋯ 1 ⋯⟩

max ⊢5⊣ = 5

2nd → 0|1|3

⟨⋯ a ⋯ 6 ⋯⟩, a = 0|1|4|5

⟨   ⁵ᵗʰa   ³ʳᵈc     ⁰ᵗʰb ⟩, a > b > c

#125034_v2.8

2025-01-23 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ Perm(0,2,4) ⋯⟩

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

⛔Avoid

⟨⋯ a ⋯ 2 ⋯⟩, a = 0|3|5

⟨? 2 ⋯ (?+4) ⋯ 3 ⋯⟩

#125034_v2.8

2025-01-21 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(0,4) = 4

max {p6, p5, p2} = 5

⛔Avoid

⟨   ⁵ᵗʰa ⁴ᵗʰb   ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 534

Jump(2,5) = 2

⟨⋯ Perm(0,2) ⋯⟩

⟨       ³ʳᵈa     ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 20

#125034_v2.8

2025-01-21 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th|3rd|1st → 3

⟨⋯ ? ⋯ 3 ⋯ (?+2)⟩ (?≠3,1)

5th → a, 4th → b, a+b=2

⛔Avoid

{p4, p2, p1} = ? + {0,1,2}

⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, max⟦a,b⟧ = 5

#125034_v2.8

2025-01-19 WR

2025-01-19 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

max {p3, p2} = 5

1 ∾ 2 ∾ 3 ∾ 5

3rd → 0|2|3|4|6

⟨⋯ Perm(1,2,5) ⋯⟩

⟨       ³ʳᵈa     ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 21

⛔Avoid

⟨⋯ 0 ⋯ 1 ⋯⟩

⟨   ⁵ᵗʰa     ²ⁿᵈb     ⟩, max⟦a,b⟧ = 6

6th → 3|5

#125034_v2.8

2025-01-17 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ ? ⋯ 2 ⋯ (?+3)⟩ (?≠2)

⟨? ⋯ 6 (?+1) ⋯ 5 ⋯⟩ (?≠5)

⟨⋯ ? ⋯ 0 ⋯ (?+2)⟩ (?≠0)

⛔Avoid

⟦0,1⟧ ∋ 2,5

min ⊢6⊣ ≤ 1

⟨⋯ 4 ⋯ a ⋯⟩, a = 0|2|3|5

#125034_v2.8

2025-01-17 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ ? ⋯ 2 ⋯ (?+1)⟩ (?≠2,1)

Jump(1,3) = 2

⟦2,5⟧ ∋ 3,4

⛔Avoid

⟨ ⁵ᵗʰa     ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≤ 435

{p5, p4, p1} = ? + {0,2,3}

#125034_v2.8

2025-01-16 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

{p5, p4, p3, p0} = ? + {0,1,2,3}

max {p5, p2, p0} = 5

⟨⋯ Perm(2,3) ⋯⟩

2nd → a, 0th → b, |a-b|=4

⛔Avoid

⟨ ⁶ᵗʰa       ²ⁿᵈb     ⟩, max⟦a,b⟧ = 5

6th|5th|4th|3rd|1st → 0

4th → a, 1st → b, |a-b|=1

#125034_v2.8

2025-01-16 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

1st → a, 0th → b, |a-b|=1

⟨⋯ Perm(0,4) ⋯⟩

⛔Avoid

5th|1st|0th → 3

⟦2,5⟧ ∋ 0

Jump(2,3) ≥ 1

⟨⋯ ? ⋯ 0 ⋯ (?−3)⟩ (?≠3)

#125034_v2.8

2025-01-14 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 0 ⋯ (?−3) ⋯⟩ (?≠3)

⟨⋯ 5 ⋯ ? ⋯ 3 (?+1)⟩ (?≠3,2)

4th → 3|5

⛔Avoid

⟨⋯ 0 ⋯ a ⋯⟩, a = 2|6

⟨? 2 ⋯ (?−3) ⋯ 1 ⋯⟩ (?≠5)

6th → 4

#125034_v2.8

2025-01-14 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → a, 2nd → b, |a-b|=4

Jump(1,4) = 1

⛔Avoid

min ⊢3⊣ = 1

Jump(2,5) ≥ 1

#125034_v2.8

2025-01-12 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ ? ⋯ 2 ⋯ (?−5)⟩

1st → 0|3|4

⟨⋯ Perm(0,6) ⋯⟩

⟨? ⋯ 0 (?−2) ⋯ 1 ⋯⟩ (?≠2)

1st → 2|4|5

#125034_v2.8

2025-01-12 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(3,5) = 2

{p4, p1, p0} = ? + {0,1,2}

{p5, p4, p2} = ? + {0,1,2}

⛔Avoid

Jump(2,5) ≤ 1

#125034_v2.8

2025-01-10 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ⁴ᵗʰc   ²ⁿᵈa   ⁰ᵗʰb ⟩, a > b > c

⟨? ⋯ 3 (?−2) ⋯ 0 ⋯⟩ (?≠3,5)

5th → a, 4th → b, ab=15

#125034_v2.8

2025-01-10 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → a, 3rd → b, |a-b|=1

⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, a > b

⛔Avoid

max ⊢4⊣ = 4

1st → 0|1|2

Sim⟨ ⁵ᵗʰ3 ⁴ᵗʰ1 ³ʳᵈ2 ²ⁿᵈ0 ¹ˢᵗ4 ⁰ᵗʰ5 ⟩ ≥ 1

Sim⟨ ⁵ᵗʰ1 ⁴ᵗʰ5 ³ʳᵈ3 ²ⁿᵈ2 ¹ˢᵗ4 ⁰ᵗʰ0 ⟩ = 1

#125034_v2.8

2025-01-09 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦1,2⟧ ∋ 4

2nd → a, 1st → b, ab=30

⟨⋯ 5 ⋯ 6 ⋯⟩

Sim⟨ ⁶ᵗʰ4 ⁵ᵗʰ6 ⁴ᵗʰ1 ³ʳᵈ0 ²ⁿᵈ3 ¹ˢᵗ2 ⁰ᵗʰ5 ⟩ = 2

#125034_v2.8

2025-01-09 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 4 ⋯ 3 ⋯⟩

⟨ ⁵ᵗʰa ⁴ᵗʰb       ⁰ᵗʰc ⟩, a > b > c

⛔Avoid

max ⊢3⊣ ≤ 4

{p5, p4, p3} = ? + {0,1,2}

min {p5, p3, p0} = 0

#125034_v2.8

2025-01-07 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(0,6) ≤ 1

4th → a, 3rd → b, a+b=0+5n

⟨⋯ Perm(0,1,5) ⋯⟩

{p4, p2, p1} = ? + {0,1,2}

⛔Avoid

⟨ ⁶ᵗʰa       ²ⁿᵈb     ⟩, max⟦a,b⟧ = 6

⟨ ⁶ᵗʰc     ³ʳᵈd ²ⁿᵈa   ⁰ᵗʰb ⟩, a > b > c > d

#125034_v2.8

2025-01-07 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 2 ⋯ 3 ⋯ 5 ⋯⟩

4th|0th → 3

3rd → 0|1|2

⛔Avoid

⟨         ¹ˢᵗa ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 30

1st → 1|4

⟨⋯ 3 ⋯ 0 ⋯ 4 ⋯⟩

#125034_v2.8

2025-01-05 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

{p4, p2, p1} = ? + {0,2,3}

Jump(2,3) ≥ 1

⟨⋯ Perm(0,1,3) ⋯⟩

min ⊢6⊣ ≥ 3

6th → a, 4th → b, a+b=1+4n

⛔Avoid

5th → a, 2nd → b, ab=5

⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 45

⟨     ⁴ᵗʰ↑ ³ʳᵈ↑   ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after 2×⟨→⟩

#125034_v2.8

2025-01-05 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → a, 3rd → b, |a-b|=3

⟨   ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 243

5th → a, 0th → b, a+b=2

⛔Avoid

0 ∾ 1 ∾ 2 ∾ 3

⟨⋯ ? ⋯ 4 ⋯ (?−2)⟩ (?≠4)

#125034_v2.8

2025-01-03 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 1 ⋯ (?−1) ⋯⟩ (?≠1,2)

{p5, p3, p2, p1} = ? + {0,1,2,3}

⟨   ⁵ᵗʰa ⁴ᵗʰb       ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 246

⟨ ⁶ᵗʰa     ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≤ 462

⛔Avoid

⟨⋯ Perm(0,1,6) ⋯⟩

⟨? ⋯ 3 ⋯ (?+2) ⋯⟩ (?≠3,1)

#125034_v2.8

2025-01-03 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ a ⋯ 4 ⋯⟩, a = 0|2|3

4th → a, 0th → b, |a-b|=2

⛔Avoid

Jump(3,4) = 2

max {p5, p3, p0} = 5

⟨⋯ a ⋯ 1 ⋯⟩, a = 0|5

2nd → a, 0th → b, ab=12

5th|3rd|2nd|1st → 1

#125034_v2.8

2025-01-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

{p5, p4, p2, p1} = ? + {0,1,3,4}

Jump(0,2) ≥ 4

⛔Avoid

⟨⋯ 6 ⋯ a ⋯⟩, a = 0|3|5

{p6, p4, p1, p0} = ? + {0,1,2,4}

⟨ ⁶ᵗʰa   ⁴ᵗʰb         ⟩, (ab)₁₀ ≤ 34

#125034_v2.8

2025-01-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, a > b

{p5, p3, p0} = ? + {0,1,3}

⟨⋯ ? ⋯ 2 ⋯ (?−3)⟩ (?≠5)

⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 35

5th|3rd|2nd|0th → 4

⛔Avoid

⟦4,5⟧ ∋ 2,3

min ⊢2⊣ ≥ 1

#125034_v2.8