2024-07-30 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

{p6, p3, p1} = ? + {0,3,4}

⟦1,3⟧ ∋ 5

Sim⟨ ⁶ᵗʰ4 ⁵ᵗʰ2 ⁴ᵗʰ3 ³ʳᵈ5 ²ⁿᵈ0 ¹ˢᵗ1 ⁰ᵗʰ6 ⟩ ≥ 2

Jump(3,6) ≥ 2

⛔Avoid

⟨   ⁵ᵗʰb     ²ⁿᵈa     ⟩, a > b

⟨             ⁰ᵗʰ↓ ⟩ after 2×⟨→⟩

#125034_v2.6

2024-07-30 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? 3 ⋯ (?−4) ⋯ 2 ⋯⟩

⟨? ⋯ 5 ⋯ (?−2) ⋯⟩ (?≠5)

⟨         ¹ˢᵗa ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 40

⛔Avoid

2nd → a, 0th → b, ab=2

#125034_v2.6

2024-07-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 1 ⋯ 2 ⋯ 3 ⋯⟩

⟨? 4 ⋯ (?+1) ⋯ 0 ⋯⟩ (?≠4,3)

Sim⟨ ⁶ᵗʰ2 ⁵ᵗʰ3 ⁴ᵗʰ4 ³ʳᵈ5 ²ⁿᵈ6 ¹ˢᵗ0 ⁰ᵗʰ1 ⟩ ≥ 1

⛔Avoid

Sim⟨ ⁶ᵗʰ3 ⁵ᵗʰ1 ⁴ᵗʰ0 ³ʳᵈ6 ²ⁿᵈ4 ¹ˢᵗ5 ⁰ᵗʰ2 ⟩ = 0

⟨       ³ʳᵈa     ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 21

#125034_v2.6

2024-07-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

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

⟨ ⁵ᵗʰa ⁴ᵗʰb         ⟩, a > b

5th → a, 3rd → b, a+b=1+4n

⟨       ²ⁿᵈc ¹ˢᵗb ⁰ᵗʰa ⟩, a > b > c

5th|4th|1st|0th → 1

⛔Avoid

max ⊢0⊣ = 4

#125034_v2.6

2024-07-26 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ⁴ᵗʰa ³ʳᵈb     ⁰ᵗʰc ⟩, a > b > c

⟨⋯ 2 ⋯ 4 ⋯ 5 ⋯ 1 ⋯⟩

⛔Avoid

⟦0,1⟧ ∋ 3,5

⟨ ⁶ᵗʰa     ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 261

4th → a, 2nd → b, |a-b|=1

⟨⋯ 2 ⋯ 4 ⋯ 6 ⋯ 0 ⋯⟩

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

#125034_v2.6

2024-07-26 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

1st → 1|5

⟨   ⁴ᵗʰ↑ ³ʳᵈ↑       ⟩ after 2×⟨←⟩

5th → a, 2nd → b, a+b=0+4n

⟨⋯ 4 ⋯ a ⋯⟩, a = 1|2|5

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

⛔Avoid

⟨ ⁵ᵗʰa     ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≤ 231

#125034_v2.6

2024-07-25 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 4 ⋯ (?+2) ⋯⟩ (?≠4,2)

4th → a, 0th → b, |a-b|=2

⟨⋯ ? ⋯ 2 ⋯ (?+4)⟩ (?≠2)

Jump(0,3) = 0

⛔Avoid

⟨⋯ 2 ⋯ a ⋯⟩, a = 0|3|4|6

#125034_v2.5

2024-07-25 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ ? ⋯ 4 ⋯ (?−1)⟩ (?≠4,5)

Jump(0,2) = 0

⟨ ⁵ᵗʰa ⁴ᵗʰb   ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 412

⛔Avoid

⟦0,3⟧ ∋ 4

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

⟨⋯ 0 ⋯ a ⋯⟩, a = 3|5

5th|4th|1st → 1

#125034_v2.5

2024-07-23 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ ? ⋯ 1 ⋯ (?+6)⟩

max ⊢0⊣ ≥ 3

3rd → a, 2nd → b, ab=5+6n

⟨⋯ Perm(0,1,2) ⋯⟩

⛔Avoid

⟨           ¹ˢᵗa ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 43

#125034_v2.5

2024-07-23 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦0,2⟧ ∋ 3,4

max ⊢4⊣ = 4

⟦0,4⟧ ∋ 3,5

⟨ ⁵ᵗʰa   ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 235

⛔Avoid

Jump(1,5) ≥ 1

#125034_v2.5

2024-07-21 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, ab=3+6n

5th → 0

{p3, p2, p1, p0} = ? + {0,1,3,4}

min ⊢5⊣ = 2

⛔Avoid

Jump(3,5) ≥ 1

#125034_v2.5

2024-07-21 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Invariant after 5−⟨⇌⟩

⟨⋯ a ⋯ 4 ⋯⟩, a = 0|5

⛔Avoid

⟨⋯ 2 ⋯ a ⋯⟩, a = 3|4|5

3rd → a, 2nd → b, ab=4

⟨⋯ 1 ⋯ a ⋯⟩, a = 3|4|5

#125034_v2.5

2024-07-19 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ ? ⋯ 0 ⋯ (?−1)⟩ (?≠1)

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

⟨⋯ Perm(2,3,6) ⋯⟩

⛔Avoid

Sim⟨ ⁶ᵗʰ2 ⁵ᵗʰ4 ⁴ᵗʰ5 ³ʳᵈ3 ²ⁿᵈ0 ¹ˢᵗ1 ⁰ᵗʰ6 ⟩ ≥ 2

4th → a, 1st → b, ab=0+5n

1st → a, 0th → b, |a-b|=3

#125034_v2.5

2024-07-19 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → a, 0th → b, ab=10

⛔Avoid

5th|3rd|2nd|0th → 3

4th → a, 1st → b, |a-b|=1

3rd → 0|2|4

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

5th|1st → 3

#125034_v2.5

2024-07-18 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th|4th|3rd|1st|0th → 4

⟨⋯ a ⋯ 1 ⋯⟩, a = 2|3|4

⟨? ⋯ 3 ⋯ (?+1) ⋯⟩ (?≠3,2)

1st → a, 0th → b, a+b=3+5n

⛔Avoid

⟨⋯ Perm(1,2,4) ⋯⟩

5th → a, 2nd → b, |a-b|=3

⟨⋯ ? ⋯ 3 ⋯ (?+2)⟩ (?≠3,1)

⟨⋯ 0 ⋯ 5 ⋯⟩

1st → a, 0th → b, |a-b|=1

⟨         ²ⁿᵈc ¹ˢᵗa ⁰ᵗʰb ⟩, a > b > c

#125034_v2.5

2024-07-18 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

⟨⋯ 2 ⋯ a ⋯⟩, a = 1|4

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

3rd → 3

⛔Avoid

max ⊢3⊣ ≤ 4

#125034_v2.5

2024-07-16 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 2 ⋯ ? 3 ⋯ (?−1)⟩ (?≠3,4)

⟦0,2⟧ ∋ 1,3,4,5

⛔Avoid

⟨⋯ Perm(4,5) ⋯⟩

⟦2,6⟧ ∋ 3,4

⟨⋯ ? ⋯ 1 ⋯ (?−6)⟩

⟨ ⁶ᵗʰc   ⁴ᵗʰd ³ʳᵈb ²ⁿᵈa     ⟩, a > b > c > d

#125034_v2.5

2024-07-16 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ Perm(0,1,2) ⋯⟩

3rd → a, 0th → b, a+b=0+4n

⛔Avoid

3 ∾ 5

⟨ ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc       ⟩, (abc)₁₀ ≥ 135

#125034_v2.5

2024-07-14 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 6 ⋯ ? ⋯ 5 (?−4)⟩ (?≠5)

⟨⋯ 1 ⋯ ? 4 ⋯ (?−3)⟩ (?≠4)

⛔Avoid

⟨⋯ Perm(3,4,6) ⋯⟩

Jump(2,6) ≤ 1

#125034_v2.5

2024-07-14 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 2 ⋯ 5 ⋯ 3 ⋯⟩

max ⊢2⊣ = 4

⟨⋯ Perm(0,2,5) ⋯⟩

⛔Avoid

⟨ ⁵ᵗʰa       ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 23

#125034_v2.5

2024-07-12 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 2nd → b, |a-b|=5

6th|5th|3rd|1st|0th → 3

2nd → a, 1st → b, |a-b|=4

⛔Avoid

⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, min⟦a,b⟧ = 0

Jump(1,5) ≤ 2

#125034_v2.5

2024-07-12 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦0,4⟧ ∋ 2,3

⟦1,5⟧ ∋ 0,2

1st → 0|3|4

⛔Avoid

Sim⟨ ⁵ᵗʰ5 ⁴ᵗʰ2 ³ʳᵈ0 ²ⁿᵈ3 ¹ˢᵗ4 ⁰ᵗʰ1 ⟩ = 0

max ⊢0⊣ = 3

Sim⟨ ⁵ᵗʰ1 ⁴ᵗʰ4 ³ʳᵈ0 ²ⁿᵈ2 ¹ˢᵗ5 ⁰ᵗʰ3 ⟩ = 0

2nd → a, 1st → b, a+b=2+4n

⟨? ⋯ 4 ⋯ (?+1) ⋯⟩ (?≠4,3)

#125034_v2.5

2024-07-11 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨   ⁵ᵗʰd ⁴ᵗʰa   ²ⁿᵈc ¹ˢᵗb   ⟩, a > b > c > d

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

⟨⋯ 3 ⋯ 0 ⋯ 1 ⋯ 2 ⋯⟩

3rd → 4

#125034_v2.5

2024-07-11 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

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

⟨⋯ 4 ⋯ ? ⋯ 5 (?−4)⟩ (?≠5)

⛔Avoid

Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ1 ³ʳᵈ3 ²ⁿᵈ0 ¹ˢᵗ5 ⁰ᵗʰ4 ⟩ = 1

⟨⋯ Perm(1,2,3) ⋯⟩

#125034_v2.5

2024-07-09 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(3,5) = 1

⟨? ⋯ 0 (?+3) ⋯ 4 ⋯⟩ (?≠0)

Sim⟨ ⁶ᵗʰ0 ⁵ᵗʰ6 ⁴ᵗʰ5 ³ʳᵈ1 ²ⁿᵈ4 ¹ˢᵗ3 ⁰ᵗʰ2 ⟩ = 1

3rd → a, 0th → b, a+b=3+5n

#125034_v2.5

2024-07-09 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ³ʳᵈa ²ⁿᵈb     ⟩, (ab)₁₀ ≤ 30

⟨⋯ Perm(0,3) ⋯⟩

4th → a, 2nd → b, ab=3+5n

5th|3rd|2nd → 1

⛔Avoid

⟨⋯ 5 ⋯ a ⋯⟩, a = 0|1|2|3|4

5th → a, 3rd → b, a+b=2

#125034_v2.5

2024-07-07 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁶ᵗʰa   ⁴ᵗʰb         ⟩, min⟦a,b⟧ = 0

Jump(1,2) = 1

⟨ ⁶ᵗʰa       ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 504

⛔Avoid

⟨   ⁵ᵗʰa     ²ⁿᵈb     ⟩, max⟦a,b⟧ = 6

Jump(0,3) ≥ 1

Jump(0,1) = 2

⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 24

⟦0,6⟧ ∋ 1,2,3,4

5th|3rd|2nd|1st|0th → 5

#125034_v2.5

2024-07-07 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → a, 0th → b, ab=5

⟨     ³ʳᵈ↑       ⟩ after 2×⟨←⟩

{p2, p1, p0} = ? + {0,1,3}

⛔Avoid

⟨ ⁵ᵗʰa ⁴ᵗʰb   ²ⁿᵈc     ⟩, (abc)₁₀ ≥ 215

2nd → 1|2|5

#125034_v2.5

2024-07-05 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

1st → a, 0th → b, |a-b|=5

⟨   ⁵ᵗʰa ⁴ᵗʰb   ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 241

⛔Avoid

⟨? ⋯ 3 ⋯ (?−1) ⋯⟩ (?≠3,4)

⟨ ⁶ᵗʰa   ⁴ᵗʰb     ¹ˢᵗc   ⟩, (abc)₁₀ ≤ 413

5th|4th|2nd|1st|0th → 0

⟨⋯ ? ⋯ 5 ⋯ (?+2)⟩ (?≠3)

#125034_v2.5

2024-07-05 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

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

1st → a, 0th → b, a+b=3

Jump(3,5) = 3

⛔Avoid

Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ5 ³ʳᵈ3 ²ⁿᵈ0 ¹ˢᵗ1 ⁰ᵗʰ2 ⟩ = 0

#125034_v2.5

2024-07-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → 4

⟨⋯ 5 ⋯ ? 1 ⋯ (?+3)⟩ (?≠1)

⟨ ⁶ᵗʰb ⁵ᵗʰd   ³ʳᵈc ²ⁿᵈa     ⟩, a > b > c > d

#125034_v2.5

2024-07-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁵ᵗʰc       ¹ˢᵗa ⁰ᵗʰb ⟩, a > b > c

min ⊢4⊣ ≥ 2

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

4th → a, 1st → b, |a-b|=2

⛔Avoid

3rd → a, 2nd → b, |a-b|=1

#125034_v2.5

2024-07-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 0 ⋯ 6 ⋯ 5 ⋯⟩

6th → a, 4th → b, a+b=1+4n

⟨⋯ 3 ⋯ ? ⋯ 1 (?−2)⟩ (?≠3)

⟨⋯ 0 ⋯ 2 ⋯ 6 ⋯ 1 ⋯⟩

#125034_v2.5

2024-07-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(2,4) = 2

2nd → a, 0th → b, a+b=1

4th → a, 0th → b, a+b=2

⛔Avoid

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

#125034_v2.5