2024-06-30 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, a+b=2

⟨         ²ⁿᵈa ¹ˢᵗb   ⟩, max⟦a,b⟧ = 3

⛔Avoid

⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, max⟦a,b⟧ = 6

⟨ ⁶ᵗʰa ⁵ᵗʰb   ³ʳᵈc       ⟩, (abc)₁₀ ≥ 145

6th → a, 5th → b, |a-b|=4

5th → a, 3rd → b, ab=0+5n

#125034_v2.5

2024-06-30 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ³ʳᵈa ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 405

⛔Avoid

5th|4th|3rd|0th → 4

⟨⋯ a ⋯ 1 ⋯⟩, a = 0|3|4|5

Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ1 ³ʳᵈ3 ²ⁿᵈ0 ¹ˢᵗ2 ⁰ᵗʰ5 ⟩ ≤ 1

#125034_v2.5

2024-06-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦1,6⟧ ∋ 0,2,3,5

4th → a, 3rd → b, |a-b|=4

⟨⋯ 6 ⋯ 1 ⋯⟩

⛔Avoid

⟨       ³ʳᵈa ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≤ 126

⟨⋯ 2 ⋯ 3 ⋯⟩

⟨? 3 ⋯ (?−4) ⋯ 5 ⋯⟩

⟨⋯ 5 ⋯ ? 2 ⋯ (?−4)⟩ (?≠6)

#125034_v2.5

2024-06-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦3,4⟧ ∋ 1,2

4th → a, 3rd → b, a+b=0+4n

⟦4,5⟧ ∋ 1

⛔Avoid

⟨     ³ʳᵈa   ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 41

5th → a, 1st → b, |a-b|=2

#125034_v2.5

2024-06-27 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨       ³ʳᵈa     ⁰ᵗʰb ⟩, min⟦a,b⟧ = 0

⟨       ³ʳᵈ↓       ⟩ after ⟨→⟩

6th → a, 5th → b, a+b=5

6th → a, 0th → b, a+b=1+6n

4th → a, 1st → b, a+b=6

⛔Avoid

⟨⋯ ? ⋯ 0 ⋯ (?+3)⟩ (?≠0)

#125034_v2.5

2024-06-27 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

max ⊢2⊣ = 2

⟨     ³ʳᵈa   ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5

⟦3,5⟧ ∋ 4

5th|0th → 1

⟨⋯ Perm(0,3) ⋯⟩

#125034_v2.5

2024-06-25 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨   ⁵ᵗʰd ⁴ᵗʰb ³ʳᵈa ²ⁿᵈc     ⟩, a > b > c > d

⟨? ⋯ 1 ⋯ (?+2) ⋯⟩ (?≠1)

⛔Avoid

⟦0,2⟧ ∋ 5

⟨       ³ʳᵈ↓ ²ⁿᵈ↓     ⟩ after 3×⟨←⟩

⟨⋯ 6 ⋯ a ⋯⟩, a = 3|5

⟨⋯ 2 ⋯ a ⋯⟩, a = 1|3|6

⟨         ²ⁿᵈa ¹ˢᵗb   ⟩, min⟦a,b⟧ = 0

#125034_v2.5

2024-06-25 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → a, 1st → b, a+b=3+4n

3rd → a, 1st → b, a+b=1+4n

4th → a, 2nd → b, |a-b|=5

⛔Avoid

⟨ ⁵ᵗʰa ⁴ᵗʰb       ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 431

#125034_v2.5

2024-06-23 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

{p5, p4, p2, p0} = ? + {0,1,2,4}

5th → a, 2nd → b, ab=0+6n

6th → a, 4th → b, a+b=2

0th → 1|2|6

⛔Avoid

⟨     ⁴ᵗʰ↑     ¹ˢᵗ↑   ⟩ after ⟨←⟩

3rd → a, 2nd → b, a+b=4

#125034_v2.5

2024-06-23 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

2nd → a, 0th → b, ab=3+5n

⟨⋯ 2 ⋯ 5 ⋯ 3 ⋯⟩

⟨⋯ a ⋯ 4 ⋯⟩, a = 0|1

⛔Avoid

⟨   ⁴ᵗʰ↑       ⁰ᵗʰ↓ ⟩ after 3×⟨→⟩

⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, min⟦a,b⟧ = 0

⟨? ⋯ 2 (?+5) ⋯ 3 ⋯⟩

#125034_v2.5

2024-06-21 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁶ᵗʰa   ⁴ᵗʰb         ⟩, a > b

{p6, p5, p2, p1} = ? + {0,2,3,4}

⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 14

⛔Avoid

max ⊢0⊣ = 5

⟨⋯ a ⋯ 3 ⋯⟩, a = 1|2|4|6

max ⊢3⊣ = 5

5th|4th|3rd|2nd|0th → 1

#125034_v2.5

2024-06-21 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd|2nd → 1

1st → 0|1|3

1st → a, 0th → b, |a-b|=2

⛔Avoid

⟨       ²ⁿᵈ↑     ⟩ after 3×⟨→⟩

5th → 1|2|3

⟨? ⋯ 1 ⋯ (?+3) ⋯⟩ (?≠1)

#125034_v2.5

2024-06-20 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

6th → a, 4th → b, ab=12

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

⟨   ⁵ᵗʰc     ²ⁿᵈb ¹ˢᵗa   ⟩, a > b > c

⛔Avoid

⟨⋯ Perm(1,3,5) ⋯⟩

#125034_v2.5

2024-06-20 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ Perm(0,2,5) ⋯⟩

⟨⋯ ? ⋯ 5 ⋯ (?−2)⟩ (?≠5)

Jump(3,4) ≥ 2

5th|4th|1st|0th → 2

⛔Avoid

⟨     ³ʳᵈa ²ⁿᵈc ¹ˢᵗb   ⟩, a > b > c

#125034_v2.5

2024-06-18 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

6th → a, 0th → b, a+b=4

5th|4th|3rd → 3

4th → a, 1st → b, ab=3+4n

⛔Avoid

5th → 2|5

min ⊢4⊣ = 4

Jump(1,6) ≥ 2

#125034_v2.5

2024-06-18 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd|0th → 1

⟨   ⁴ᵗʰc   ²ⁿᵈa ¹ˢᵗb   ⟩, a > b > c

max ⊢3⊣ = 4

⛔Avoid

⟨? ⋯ 0 (?+3) ⋯ 5 ⋯⟩ (?≠0)

⟨     ³ʳᵈa ²ⁿᵈb     ⟩, max⟦a,b⟧ = 4

⟦0,4⟧ ∋ 2

#125034_v2.5

2024-06-16 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 0th → b, |a-b|=4

⟨⋯ a ⋯ 4 ⋯⟩, a = 0|1|2|3

⟨? ⋯ 2 ⋯ (?−4) ⋯⟩ (?≠6)

⟨     ⁴ᵗʰa ³ʳᵈb       ⟩, (ab)₁₀ ≥ 36

⛔Avoid

⟨     ⁴ᵗʰa ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 365

#125034_v2.5

2024-06-16 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁵ᵗʰa   ³ʳᵈc     ⁰ᵗʰb ⟩, a > b > c

⟨   ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗc   ⟩, a > b > c

max ⊢1⊣ ≥ 4

⛔Avoid

⟦1,2⟧ ∋ 3

⟨? ⋯ 0 ⋯ (?−1) ⋯⟩ (?≠1)

#125034_v2.5

2024-06-14 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → 1|4

min ⊢4⊣ = 2

⟨? 1 ⋯ (?+4) ⋯ 3 ⋯⟩ (?≠1)

⟨⋯ ? ⋯ 2 ⋯ (?−1)⟩ (?≠2,3)

⟨⋯ 0 ⋯ 6 ⋯ 5 ⋯⟩

⛔Avoid

5th|3rd|2nd|1st → 5

#125034_v2.5

2024-06-14 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ³ʳᵈc ²ⁿᵈa   ⁰ᵗʰb ⟩, a > b > c

⟨ ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc       ⟩, (abc)₁₀ ≥ 423

⟨⋯ 3 ⋯ ? 2 ⋯ (?−2)⟩ (?≠2,4)

⛔Avoid

4th|3rd|1st → 5

#125034_v2.5

2024-06-13 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

6th → a, 4th → b, ab=2+5n

2nd → a, 1st → b, a+b=10

⛔Avoid

3rd → 1|2|3|6

Sim⟨ ⁶ᵗʰ1 ⁵ᵗʰ2 ⁴ᵗʰ4 ³ʳᵈ0 ²ⁿᵈ6 ¹ˢᵗ3 ⁰ᵗʰ5 ⟩ ≤ 2

3rd → a, 2nd → b, a+b=1+5n

#125034_v2.5

2024-06-13 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 4 ⋯ 3 ⋯⟩

5th → a, 3rd → b, ab=2+5n

Jump(2,5) = 0

Jump(0,2) = 0

⛔Avoid

⟨⋯ 5 ⋯ a ⋯⟩, a = 1|2|4

#125034_v2.5

2024-06-11 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → 4

⟦2,5⟧ ∋ 1,3,4,6

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

3rd → a, 0th → b, a+b=1+4n

⛔Avoid

⟨? ⋯ 3 ⋯ (?−1) ⋯⟩ (?≠3,4)

#125034_v2.5

2024-06-11 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(3,4) ≥ 2

5th → a, 0th → b, a+b=4+5n

⟨⋯ 3 ⋯ 4 ⋯⟩

⛔Avoid

1st → a, 0th → b, |a-b|=3

⟨⋯ 0 ⋯ 2 ⋯ 1 ⋯⟩

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

⟨       ²ⁿᵈa ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 250

Jump(0,2) = 2

3rd → a, 0th → b, |a-b|=3

#125034_v2.5

2024-06-09 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

2nd → 4

⟨ ⁶ᵗʰa   ⁴ᵗʰb ³ʳᵈd     ⁰ᵗʰc ⟩, a > b > c > d

⟨   ⁵ᵗʰb       ¹ˢᵗa   ⟩, a > b

⛔Avoid

1st → a, 0th → b, |a-b|=5

⟨⋯ Perm(2,3,6) ⋯⟩

⟨⋯ Perm(0,1,3) ⋯⟩

⟦0,3⟧ ∋ 1,5

⟦2,6⟧ ∋ 0,1

#125034_v2.5

2024-06-09 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → a, 0th → b, a+b=2+5n

⟨⋯ Perm(0,2,3) ⋯⟩

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

⛔Avoid

⟨     ³ʳᵈb   ¹ˢᵗc ⁰ᵗʰa ⟩, a > b > c

⟨⋯ Perm(1,2) ⋯⟩

#125034_v2.5

2024-06-07 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|=2

⟨? ⋯ 0 ⋯ (?+4) ⋯⟩ (?≠0)

4th → a, 3rd → b, ab=15

4th → a, 1st → b, a+b=11

⛔Avoid

{p6, p3, p2} = ? + {0,1,2}

#125034_v2.5

2024-06-07 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 5−⟨⋯⟩

⟨⋯ ? ⋯ 0 ⋯ (?+1)⟩ (?≠0)

4th → a, 2nd → b, |a-b|=5

min ⊢1⊣ = 1

#125034_v2.5

2024-06-06 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁶ᵗʰc ⁵ᵗʰb     ²ⁿᵈd ¹ˢᵗa   ⟩, a > b > c > d

⟨⋯ 2 ⋯ 5 ⋯ 4 ⋯ 3 ⋯⟩

0th → 0

#125034_v2.5

2024-06-06 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁵ᵗʰb ⁴ᵗʰc       ⁰ᵗʰa ⟩, a > b > c

⟨   ⁴ᵗʰc   ²ⁿᵈb ¹ˢᵗa   ⟩, a > b > c

3rd → a, 1st → b, |a-b|=4

⛔Avoid

⟨ ⁵ᵗʰa       ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 32

3rd → a, 2nd → b, a+b=3+5n

#125034_v2.5

2024-06-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨       ³ʳᵈa ²ⁿᵈb     ⟩, (ab)₁₀ ≤ 14

⟦1,6⟧ ∋ 0,3,4,5

⟨⋯ ? ⋯ 3 ⋯ (?+4)⟩

5th → a, 1st → b, ab=3+5n

⛔Avoid

⟨ ⁶ᵗʰa     ³ʳᵈb       ⟩, max⟦a,b⟧ = 5

{p6, p5, p4, p3} = ? + {0,1,2,4}

#125034_v2.5

2024-06-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ Perm(0,1,4) ⋯⟩

1st → a, 0th → b, a+b=2+5n

⟨⋯ 1 ⋯ 4 ⋯ 0 ⋯⟩

3rd → 4

⛔Avoid

min ⊢5⊣ = 2

#125034_v2.5

2024-06-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

6th → a, 3rd → b, ab=0

2nd → a, 1st → b, |a-b|=1

{p6, p4, p3, p1} = ? + {0,2,3,4}

5th|4th|3rd|2nd|0th → 2

6th → a, 0th → b, ab=0+4n

⛔Avoid

⟨     ⁴ᵗʰb     ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c

5th → a, 3rd → b, ab=2+4n

#125034_v2.5

2024-06-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → a, 1st → b, a+b=4

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

⟨⋯ 2 ⋯ 0 ⋯⟩

⛔Avoid

4th → a, 1st → b, a+b=2+4n

⟨? ⋯ 1 ⋯ (?+3) ⋯⟩ (?≠1)

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

⟨         ¹ˢᵗa ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 24

#125034_v2.5