2024-11-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 0 ⋯ (?+4) ⋯⟩ (?≠0)

⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, min⟦a,b⟧ = 1

⟨⋯ Perm(1,4) ⋯⟩

⟨⋯ 5 ⋯ 6 ⋯⟩

max ⊢5⊣ = 5

⛔Avoid

⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5

⟦2,4⟧ ∋ 0,1,5

#125034_v2.7

2024-11-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th|1st|0th → 0

⟨? ⋯ 4 ⋯ (?−3) ⋯⟩ (?≠4)

⟨ ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc       ⟩, (abc)₁₀ ≥ 401

⟨         ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after ⟨→⟩

⛔Avoid

⟨? ⋯ 4 ⋯ (?−2) ⋯⟩ (?≠4)

1st → a, 0th → b, a+b=2

4th → a, 0th → b, a+b=4

#125034_v2.7

2024-11-26 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

⟨? ⋯ 2 ⋯ (?+4) ⋯⟩ (?≠2)

⟦0,6⟧ ∋ 4,5

⟦2,3⟧ ∋ 1,5,6

⛔Avoid

min {p5, p3, p1} = 1

#125034_v2.7

2024-11-26 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → a, 2nd → b, a+b=3

⟨ ⁵ᵗʰa   ³ʳᵈb       ⟩, min⟦a,b⟧ = 2

5th → a, 4th → b, |a-b|=1

min {p5, p2, p0} = 0

⛔Avoid

⟨⋯ ? ⋯ 5 ⋯ (?−2)⟩ (?≠5)

⟨⋯ 4 ⋯ ? ⋯ 1 (?+1)⟩ (?≠1,0)

#125034_v2.7

2024-11-24 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 3 ⋯ 1 ⋯ 6 ⋯ 5 ⋯⟩

6th → 2

⛔Avoid

Sim⟨ ⁶ᵗʰ2 ⁵ᵗʰ3 ⁴ᵗʰ6 ³ʳᵈ0 ²ⁿᵈ4 ¹ˢᵗ5 ⁰ᵗʰ1 ⟩ ≥ 2

⟨⋯ 2 ⋯ 4 ⋯ 6 ⋯ 5 ⋯⟩

#125034_v2.7

2024-11-24 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

min ⊢3⊣ = 2

⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, min⟦a,b⟧ = 0

⟨     ³ʳᵈb   ¹ˢᵗa   ⟩, a > b

⟨⋯ Perm(0,1,5) ⋯⟩

⛔Avoid

4th → a, 1st → b, ab=0

⟦3,5⟧ ∋ 0

3rd → a, 1st → b, |a-b|=3

#125034_v2.7

2024-11-22 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

min {p5, p3, p0} = 2

⟨? ⋯ 6 ⋯ (?−2) ⋯⟩ (?≠6)

⟨ ⁶ᵗʰb ⁵ᵗʰc       ¹ˢᵗa ⁰ᵗʰd ⟩, a > b > c > d

⛔Avoid

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

⟦1,2⟧ ∋ 0

#125034_v2.7

2024-11-22 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(2,4) ≥ 2

⟨⋯ 0 ⋯ 1 ⋯ 2 ⋯⟩

Jump(3,4) = 1

Jump(1,2) ≥ 3

#125034_v2.7

2024-11-21 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

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

⟨   ⁵ᵗʰa   ³ʳᵈb       ⟩, max⟦a,b⟧ = 6

⟨⋯ 5 ⋯ a ⋯⟩, a = 0|1|2|3|4

⟨⋯ 1 ⋯ a ⋯⟩, a = 0|2|4|5|6

3rd → a, 1st → b, ab=6

⛔Avoid

6th|5th|2nd|0th → 1

⟨   ⁵ᵗʰa ⁴ᵗʰb         ⟩, (ab)₁₀ ≥ 20

6th → a, 4th → b, |a-b|=3

Jump(1,5) = 4

#125034_v2.7

2024-11-21 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

median {p5, p1, p0} = 3

⟦2,3⟧ ∋ 1,4

⟨     ³ʳᵈa   ¹ˢᵗb   ⟩, max⟦a,b⟧ = 3

⛔Avoid

⟨? ⋯ 0 (?−1) ⋯ 1 ⋯⟩ (?≠1)

#125034_v2.7

2024-11-19 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

6th|5th|2nd|0th → 4

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

⟨⋯ 0 ⋯ ? 5 ⋯ (?+2)⟩ (?≠3)

⛔Avoid

⟨ ⁶ᵗʰa     ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≤ 346

#125034_v2.7

2024-11-19 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ Perm(1,3,4) ⋯⟩

⛔Avoid

max ⊢1⊣ ≥ 4

⟨⋯ a ⋯ 0 ⋯⟩, a = 1|2|3

max ⊢4⊣ = 4

4th → a, 3rd → b, ab=2+4n

5th → a, 1st → b, a+b=1

#125034_v2.7

2024-11-17 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

5th → a, 0th → b, a+b=0+6n

⟨⋯ Perm(0,1,6) ⋯⟩

4th → a, 1st → b, ab=0+5n

⟨   ⁵ᵗʰ↓           ⟩ after 2×⟨←⟩

4th → 0|1|3

⛔Avoid

⟨⋯ a ⋯ 4 ⋯⟩, a = 0|6

min {p6, p4, p3} = 1

⟨⋯ 2 ⋯ 6 ⋯ 0 ⋯ 1 ⋯⟩

#125034_v2.7

2024-11-17 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 2nd → b, ab=6

5th|4th|0th → 0

⛔Avoid

1st → 2|4

⟨⋯ 1 ⋯ a ⋯⟩, a = 2|3|4|5

max {p4, p2, p0} = 4

min ⊢5⊣ = 1

min ⊢2⊣ ≤ 1

#125034_v2.7

2024-11-15 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 1 ⋯ (?+2) ⋯⟩ (?≠1)

⟨⋯ Perm(0,4,5) ⋯⟩

⛔Avoid

⟨⋯ Perm(1,3,6) ⋯⟩

Jump(1,2) ≤ 1

⟨ ⁶ᵗʰa   ⁴ᵗʰb         ⟩, (ab)₁₀ ≥ 34

⟨     ⁴ᵗʰd ³ʳᵈb   ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c > d

6th → a, 2nd → b, a+b=3+5n

#125034_v2.7

2024-11-15 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, max⟦a,b⟧ = 4

1st → a, 0th → b, a+b=5

5th → a, 0th → b, ab=3+4n

⛔Avoid

2nd → 2

⟨⋯ Perm(2,3) ⋯⟩

#125034_v2.7

2024-11-14 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

{p4, p3, p2, p0} = ? + {0,1,2,3}

⟨ ⁶ᵗʰa       ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 534

⟨⋯ 5 ⋯ 6 ⋯⟩

5th → a, 3rd → b, a+b=7

⛔Avoid

max {p4, p2, p1} = 4

#125034_v2.7

2024-11-14 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → a, 1st → b, a+b=3+4n

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

⛔Avoid

⟨ ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc       ⟩, (abc)₁₀ ≤ 254

⟨     ³ʳᵈa ²ⁿᵈb     ⟩, (ab)₁₀ ≤ 43

⟨⋯ 0 ⋯ a ⋯⟩, a = 2|4

#125034_v2.7

2024-11-12 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁶ᵗʰd ⁵ᵗʰa ⁴ᵗʰc   ²ⁿᵈb     ⟩, a > b > c > d

⟦1,4⟧ ∋ 2,5

4th → 2|6

3rd → a, 1st → b, ab=3+4n

#125034_v2.7

2024-11-12 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

max {p3, p2, p0} = 4

3rd → a, 2nd → b, |a-b|=2

5th → a, 1st → b, a+b=1

⛔Avoid

⟨     ³ʳᵈa ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 302

⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, min⟦a,b⟧ = 0

#125034_v2.7

2024-11-10 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⟧ = 0

⟨ ⁶ᵗʰd   ⁴ᵗʰb ³ʳᵈa     ⁰ᵗʰc ⟩, a > b > c > d

min ⊢5⊣ = 2

⟦0,1⟧ ∋ 2,4,5,6

⛔Avoid

⟦0,1⟧ ∋ 3,4,5,6

5th → a, 4th → b, ab=4+5n

#125034_v2.7

2024-11-10 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+4n

⟨⋯ 2 ⋯ 1 ⋯ 0 ⋯⟩

0th → 1|4|5

⟨⋯ 0 ⋯ 4 ⋯ 5 ⋯⟩

⟨⋯ Perm(0,1,4) ⋯⟩

#125034_v2.7

2024-11-08 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 3 ⋯ 6 ⋯ 4 ⋯⟩

⟨⋯ 2 ⋯ 3 ⋯ 0 ⋯⟩

4th → a, 2nd → b, a+b=5

3rd → a, 0th → b, a+b=2+4n

⟨? ⋯ 5 ⋯ (?−1) ⋯⟩ (?≠5,6)

⛔Avoid

⟨? ⋯ 5 ⋯ (?+4) ⋯⟩ (?≠1)

#125034_v2.7

2024-11-08 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 3rd → b, |a-b|=3

⟨⋯ ? ⋯ 2 ⋯ (?+4)⟩

⟨? ⋯ 1 ⋯ (?−2) ⋯⟩ (?≠3)

⛔Avoid

Jump(3,5) ≥ 3

⟦2,4⟧ ∋ 0,3

#125034_v2.7

2024-11-07 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

max {p3, p2} = 6

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

Jump(1,5) = 2

6th → 5

Jump(4,5) ≤ 4

⛔Avoid

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

max ⊢0⊣ = 4

#125034_v2.7

2024-11-07 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

4th → a, 1st → b, |a-b|=5

⛔Avoid

Sim⟨ ⁵ᵗʰ0 ⁴ᵗʰ1 ³ʳᵈ5 ²ⁿᵈ4 ¹ˢᵗ2 ⁰ᵗʰ3 ⟩ = 1

⟨⋯ Perm(1,2,5) ⋯⟩

1st → 2|3|5

⟨? ⋯ 3 ⋯ (?−1) ⋯⟩ (?≠3,4)

{p4, p3, p2} = ? + {0,1,3}

⟨⋯ Perm(3,4,5) ⋯⟩

#125034_v2.7

2024-11-05 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

min ⊢3⊣ ≥ 2

⟦2,5⟧ ∋ 3,6

⟨⋯ 0 ⋯ 5 ⋯ 4 ⋯ 2 ⋯⟩

⟦0,3⟧ ∋ 1,6

{p5, p4, p1, p0} = ? + {0,1,2,3}

#125034_v2.7

2024-11-05 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th|4th|2nd|0th → 5

⟨? 3 ⋯ (?−2) ⋯ 1 ⋯⟩ (?≠3,5)

⛔Avoid

Jump(0,2) ≥ 1

min ⊢1⊣ = 1

#125034_v2.7

2024-11-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(2,4) = 2

⟨ ⁶ᵗʰa ⁵ᵗʰb   ³ʳᵈd   ¹ˢᵗc   ⟩, a > b > c > d

6th → a, 3rd → b, |a-b|=5

2nd → a, 1st → b, |a-b|=2

⛔Avoid

5th → a, 4th → b, a+b=3+4n

#125034_v2.7

2024-11-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ³ʳᵈc ²ⁿᵈb ¹ˢᵗa   ⟩, a > b > c

5th → a, 0th → b, a+b=4+5n

⛔Avoid

⟨⋯ a ⋯ 1 ⋯⟩, a = 3|4

5th → a, 2nd → b, |a-b|=3

⟨ ⁵ᵗʰc     ²ⁿᵈb   ⁰ᵗʰa ⟩, a > b > c

#125034_v2.7

2024-11-01 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 1st → b, |a-b|=2

2nd → a, 1st → b, |a-b|=3

5th → a, 3rd → b, |a-b|=4

⟨? ⋯ 3 ⋯ (?+3) ⋯⟩ (?≠3,0)

⛔Avoid

⟨       ³ʳᵈa ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 130

⟨⋯ 0 ⋯ 4 ⋯ 5 ⋯⟩

#125034_v2.7

2024-11-01 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd|2nd|0th → 0

5th → 0|2|5

5th → a, 0th → b, |a-b|=1

min {p4, p2, p0} = 1

⛔Avoid

0th → 1|3

4th → 0|1|2

#125034_v2.7