2024-08-30 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

max ⊢3⊣ = 3

⟨⋯ 1 ⋯ 5 ⋯ 4 ⋯⟩

max ⊢0⊣ = 3

⟨       ³ʳᵈa   ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c

⛔Avoid

⟨⋯ a ⋯ 4 ⋯⟩, a = 0|2|6

#125034_v2.6

2024-08-30 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 2 ⋯ ? 0 ⋯ (?+1)⟩ (?≠0)

⛔Avoid

3rd → 0

2nd → 0|2

5th → a, 2nd → b, |a-b|=1

⟨   ⁴ᵗʰa   ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 324

5th|4th|2nd|0th → 1

#125034_v2.6

2024-08-29 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 3 (?−4) ⋯ 5 ⋯⟩

⟨ ⁶ᵗʰb     ³ʳᵈa   ¹ˢᵗc ⁰ᵗʰd ⟩, a > b > c > d

⛔Avoid

⟨? ⋯ 6 (?−2) ⋯ 1 ⋯⟩ (?≠6)

#125034_v2.6

2024-08-29 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦4,5⟧ ∋ 1

3rd → a, 0th → b, a+b=2+5n

5th → a, 3rd → b, a+b=0+5n

2nd → 3|4|5

⛔Avoid

max ⊢0⊣ = 3

#125034_v2.6

2024-08-27 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 0 ⋯ 4 ⋯⟩

⟨⋯ Perm(0,5) ⋯⟩

⟨⋯ Perm(2,3,6) ⋯⟩

Sim⟨ ⁶ᵗʰ4 ⁵ᵗʰ3 ⁴ᵗʰ6 ³ʳᵈ5 ²ⁿᵈ1 ¹ˢᵗ2 ⁰ᵗʰ0 ⟩ = 1

⛔Avoid

max ⊢2⊣ ≥ 4

5th|4th|3rd|2nd|0th → 0

⟨⋯ 0 ⋯ ? ⋯ 1 (?−1)⟩ (?≠1,2)

4th → a, 1st → b, ab=8

#125034_v2.6

2024-08-27 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 4 (?−2) ⋯ 0 ⋯⟩ (?≠4)

⟨⋯ 1 ⋯ 3 ⋯ 5 ⋯⟩

⛔Avoid

⟨   ⁴ᵗʰa     ¹ˢᵗb   ⟩, max⟦a,b⟧ = 4

#125034_v2.6

2024-08-25 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? 4 ⋯ (?+2) ⋯ 6 ⋯⟩ (?≠4,2)

3rd → 1|5

⟨ ⁶ᵗʰa ⁵ᵗʰb         ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 341

⟦3,5⟧ ∋ 1,2,4

#125034_v2.6

2024-08-25 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 2nd → b, |a-b|=5

4th → a, 2nd → b, a+b=7

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

⛔Avoid

5th|4th|3rd|2nd → 3

#125034_v2.6

2024-08-23 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

Sim⟨ ⁶ᵗʰ4 ⁵ᵗʰ6 ⁴ᵗʰ1 ³ʳᵈ0 ²ⁿᵈ5 ¹ˢᵗ2 ⁰ᵗʰ3 ⟩ ≤ 1

⟨⋯ 2 ⋯ ? ⋯ 1 (?+2)⟩ (?≠1)

⟨     ⁴ᵗʰb ³ʳᵈc     ⁰ᵗʰa ⟩, a > b > c

2nd → a, 1st → b, ab=5

⛔Avoid

6th → a, 2nd → b, a+b=5+6n

#125034_v2.6

2024-08-23 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ ? ⋯ 3 ⋯ (?−3)⟩ (?≠3)

Jump(2,5) = 3

⟨? ⋯ 3 ⋯ (?−3) ⋯⟩ (?≠3)

⛔Avoid

3rd → a, 2nd → b, ab=2+5n

5th → a, 1st → b, a+b=0+4n

Jump(0,5) = 1

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

#125034_v2.6

2024-08-22 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁶ᵗʰa       ²ⁿᵈb     ⟩, min⟦a,b⟧ = 1

Jump(2,5) = 1

Jump(1,5) = 1

⟨ ⁶ᵗʰa ⁵ᵗʰb           ⟩, min⟦a,b⟧ = 1

1 ∾ 3 ∾ 4 ∾ 5 ∾ 6

⛔Avoid

⟨           ¹ˢᵗa ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 20

⟨? 3 ⋯ (?+1) ⋯ 2 ⋯⟩ (?≠3,2)

#125034_v2.6

2024-08-22 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → a, 0th → b, ab=0+4n

2 ∾ 3 ∾ 4 ∾ 5

⟦1,2⟧ ∋ 0,4

⛔Avoid

3rd → a, 2nd → b, a+b=4

5th → 0|2|4

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

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

⟨? 1 ⋯ (?−1) ⋯ 2 ⋯⟩ (?≠1,2)

5th → a, 0th → b, a+b=3

#125034_v2.6

2024-08-20 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → a, 2nd → b, ab=2+4n

Jump(0,2) ≤ 1

5th → a, 2nd → b, a+b=1+6n

⟨⋯ 6 ⋯ 4 ⋯⟩

⛔Avoid

6th|5th|4th|3rd|1st → 0

6th|5th|2nd|0th → 3

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

#125034_v2.6

2024-08-20 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁵ᵗʰa   ³ʳᵈb       ⟩, min⟦a,b⟧ = 0

Jump(4,5) = 3

⟨     ³ʳᵈa ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 13

⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, a > b

⛔Avoid

Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ3 ³ʳᵈ1 ²ⁿᵈ5 ¹ˢᵗ0 ⁰ᵗʰ2 ⟩ = 0

1st → a, 0th → b, a+b=1+5n

#125034_v2.6

2024-08-18 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 6 ⋯ (?+4) ⋯⟩ (?≠2)

4th|3rd|2nd|1st → 5

⟨   ⁵ᵗʰa   ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 345

Jump(1,4) = 1

⟨ ⁶ᵗʰd ⁵ᵗʰb ⁴ᵗʰc   ²ⁿᵈa     ⟩, a > b > c > d

#125034_v2.6

2024-08-18 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 2 ⋯ ? ⋯ 4 (?−2)⟩ (?≠4)

3rd → a, 2nd → b, a+b=3+5n

⛔Avoid

⟨ ⁵ᵗʰa         ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 45

3rd|0th → 1

#125034_v2.6

2024-08-16 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ⁴ᵗʰa ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 125

⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, max⟦a,b⟧ = 5

⟨⋯ 0 ⋯ ? 3 ⋯ (?+2)⟩ (?≠3,1)

{p6, p3, p1, p0} = ? + {0,1,2,4}

⛔Avoid

min ⊢6⊣ = 1

#125034_v2.6

2024-08-16 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → 1

5th → a, 4th → b, ab=8

⛔Avoid

⟨⋯ a ⋯ 4 ⋯⟩, a = 0|1|2|3

Jump(1,3) ≥ 2

⟨     ³ʳᵈa   ¹ˢᵗb   ⟩, max⟦a,b⟧ = 3

⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, max⟦a,b⟧ = 5

#125034_v2.6

2024-08-15 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th|3rd → 1

2nd → a, 1st → b, a+b=2+4n

6th → a, 3rd → b, ab=0+4n

3rd → 2|3|4|6

⟨ ⁶ᵗʰa         ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 542

⛔Avoid

4th → a, 3rd → b, |a-b|=2

Jump(1,5) = 4

⟨     ⁴ᵗʰa   ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 361

#125034_v2.6

2024-08-15 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(4,5) = 1

⟨? 0 ⋯ (?−1) ⋯ 4 ⋯⟩ (?≠1)

⟨⋯ 0 ⋯ ? 1 ⋯ (?+1)⟩ (?≠1,0)

⛔Avoid

5th → 0|1|5

#125034_v2.6

2024-08-13 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

{p6, p3, p1, p0} = ? + {0,1,3,4}

Jump(3,6) ≤ 1

2nd → a, 0th → b, ab=5+6n

⟨           ¹ˢᵗ↓   ⟩ after 3×⟨→⟩

⛔Avoid

⟨⋯ 6 ⋯ 2 ⋯ 0 ⋯ 4 ⋯⟩

6th|4th|3rd|2nd → 1

#125034_v2.6

2024-08-13 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 4 ⋯ 2 ⋯⟩

2nd → a, 0th → b, a+b=4

⟨         ¹ˢᵗ↑ ⁰ᵗʰ↑ ⟩ after 2×⟨←⟩

⟨⋯ Perm(3,4) ⋯⟩

#125034_v2.6

2024-08-11 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ ? ⋯ 3 ⋯ (?+4)⟩

⟨   ⁵ᵗʰa     ²ⁿᵈb     ⟩, min⟦a,b⟧ = 0

6th → a, 3rd → b, ab=24

⟨⋯ 2 ⋯ 4 ⋯⟩

⟨   ⁵ᵗʰa   ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 150

⛔Avoid

5th → 0|3|6

#125034_v2.6

2024-08-11 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦1,2⟧ ∋ 0,3

⛔Avoid

⟨ ⁵ᵗʰa         ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 13

Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ0 ³ʳᵈ3 ²ⁿᵈ1 ¹ˢᵗ5 ⁰ᵗʰ4 ⟩ ≤ 2

#125034_v2.6

2024-08-09 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁶ᵗʰ↓   ⁴ᵗʰ↑         ⟩ after 3×⟨→⟩

⟦0,5⟧ ∋ 1,3,4

⟨⋯ 2 ⋯ ? 0 ⋯ (?−1)⟩ (?≠1)

⛔Avoid

1st → a, 0th → b, a+b=4+5n

#125034_v2.6

2024-08-09 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁵ᵗʰa     ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 453

⟨         ¹ˢᵗa ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 31

⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, min⟦a,b⟧ = 0

2nd → a, 1st → b, a+b=4

⛔Avoid

⟨   ⁴ᵗʰa ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 234

#125034_v2.6

2024-08-08 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑     ⟩ after ⟨→⟩

3rd → a, 0th → b, |a-b|=1

⟨⋯ 6 ⋯ 1 ⋯ 4 ⋯ 3 ⋯⟩

⟨⋯ Perm(0,4,5) ⋯⟩

⛔Avoid

⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 52

#125034_v2.6

2024-08-08 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

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

5th → a, 0th → b, |a-b|=1

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

⛔Avoid

4th → 0|1|4

5th|4th|3rd|0th → 2

#125034_v2.6

2024-08-06 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁶ᵗʰ↑       ²ⁿᵈ↓ ¹ˢᵗ↓   ⟩ after 2×⟨←⟩

3rd → a, 0th → b, ab=3+4n

⟦3,4⟧ ∋ 0,5

#125034_v2.6

2024-08-06 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(3,5) = 1

⟨         ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after 2×⟨→⟩

⛔Avoid

5th|4th|3rd → 5

max ⊢0⊣ = 4

⟨⋯ ? ⋯ 2 ⋯ (?+4)⟩

Jump(3,4) ≤ 1

#125034_v2.6

2024-08-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 5 ⋯ ? ⋯ 6 (?+1)⟩ (?≠5)

⟦1,3⟧ ∋ 2,4

⟨⋯ 2 ⋯ 5 ⋯ 0 ⋯ 6 ⋯⟩

⛔Avoid

⟦1,4⟧ ∋ 0,6

#125034_v2.6

2024-08-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ Perm(3,4,5) ⋯⟩

⟨ ⁵ᵗʰa   ³ʳᵈb       ⟩, (ab)₁₀ ≥ 15

max ⊢3⊣ ≤ 4

5th → a, 2nd → b, ab=0+5n

⛔Avoid

⟨   ⁴ᵗʰa ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 420

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

5th → a, 4th → b, a+b=2

#125034_v2.6

2024-08-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

min ⊢4⊣ = 3

⟨? ⋯ 0 ⋯ (?+4) ⋯⟩ (?≠0)

⟨⋯ 6 ⋯ ? 1 ⋯ (?−2)⟩ (?≠3)

⛔Avoid

⟨⋯ ? ⋯ 5 ⋯ (?−2)⟩ (?≠5)

⟨ ⁶ᵗʰa ⁵ᵗʰb       ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 213

#125034_v2.6

2024-08-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → a, 1st → b, ab=20

1st → a, 0th → b, ab=2+4n

4th|2nd|1st → 3

⛔Avoid

5th → a, 1st → b, |a-b|=5

⟨⋯ 4 ⋯ 0 ⋯ 2 ⋯⟩

#125034_v2.6

2024-08-01 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

{p6, p5, p1, p0} = ? + {0,1,2,3}

1st → 5

⟨         ²ⁿᵈc ¹ˢᵗb ⁰ᵗʰa ⟩, a > b > c

⛔Avoid

min ⊢5⊣ ≤ 1

4th → 1

{p6, p3, p2} = ? + {0,1,3}

#125034_v2.6

2024-08-01 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 1st → b, |a-b|=3

5th → a, 2nd → b, a+b=7

4th → a, 1st → b, a+b=6

⟨⋯ Perm(2,4,5) ⋯⟩

#125034_v2.6