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2024-12-31 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 1 ⋯ 3 ⋯ 4 ⋯ 6 ⋯⟩
⟨⋯ 0 ⋯ 2 ⋯ 6 ⋯ 5 ⋯⟩
min {p3, p2} = 0

#125034_v2.8

2024-12-31 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
2nd → a, 1st → b, ab=3
max ⊢2⊣ ≤ 3

⛔Avoid
⟨⋯ 0 ⋯ 2 ⋯ 3 ⋯⟩
0th → 1|2|4
3rd → a, 1st → b, |a-b|=3

#125034_v2.8

2024-12-25 WR

2024-12-25 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? ⋯ 4 ⋯ (?−2) ⋯⟩ (?≠4)
⟨⋯ Perm(0,1) ⋯⟩
Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ2 ³ʳᵈ1 ²ⁿᵈ0 ¹ˢᵗ5 ⁰ᵗʰ3 ⟩ ≥ 1

⛔Avoid
⟦0,2⟧ ∋ 1,4,5
4th → a, 0th → b, ab=0+5n
Jump(0,4) ≤ 1

#125034_v2.8


2023-12-21 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → 1|2|5|6
⟨? ⋯ 1 ⋯ (?+2) ⋯⟩ (?≠1)
⟨⋯ ? ⋯ 6 ⋯ (?+4)⟩ (?≠2)
6th → a, 5th → b, a+b=5+6n
⟨⋯ ? ⋯ 6 ⋯ (?+3)⟩ (?≠3)
Jump(1,4) = 1
3rd → 1|2|6

⛔Avoid
⟨         ²ⁿᵈa ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 46

#125034_v2.2


WR 1713-11-07

WR 1713-11-07

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 2 ⋯ ? 3 ⋯ (?+5)⟩ (?≠3)

⛔Avoid
1st → a, 0th → b, |a-b|=1
4th → 1|4|5
3rd → a, 0th → b, a+b=2+5n
⟨⋯ 4 ⋯ 1 ⋯⟩
3rd → a, 2nd → b, |a-b|=1

#125034 v1.0.0


2024-12-29 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ ? ⋯ 0 ⋯ (?−1)⟩ (?≠1)
Jump(4,5) = 0
⟨ ⁶ᵗʰb ⁵ᵗʰa ⁴ᵗʰd   ²ⁿᵈc     ⟩, a > b > c > d

⛔Avoid
Sim⟨ ⁶ᵗʰ1 ⁵ᵗʰ2 ⁴ᵗʰ5 ³ʳᵈ3 ²ⁿᵈ4 ¹ˢᵗ6 ⁰ᵗʰ0 ⟩ = 0
⟨⋯ Perm(1,6) ⋯⟩
3rd → a, 1st → b, a+b=2+5n

#125034_v2.8

2024-12-29 WR


2024-12-27 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁵ᵗʰ↑   ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↑   ⟩ after 2×⟨→⟩
⟨⋯ Perm(1,5) ⋯⟩
3rd → a, 0th → b, a+b=6
2nd → 0|1|2|5|6

⛔Avoid
6th → 0|3|4|5

#125034_v2.8

2024-12-27 WR

2024-12-26 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦0,4⟧ ∋ 6
⟦2,3⟧ ∋ 0,4,5,6
4th → a, 0th → b, |a-b|=2
⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, min⟦a,b⟧ = 1

⛔Avoid
⟨           ¹ˢᵗ↑   ⟩ after ⟨→⟩
⟦2,5⟧ ∋ 0,1,6

#125034_v2.8

2024-12-26 WR


2024-12-24 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(2,3) ≥ 3
3rd|0th → 4
⟨? ⋯ 6 (?−2) ⋯ 4 ⋯⟩ (?≠6)

⛔Avoid
4th → a, 1st → b, |a-b|=1
⟨ ⁶ᵗʰa ⁵ᵗʰb     ²ⁿᵈc     ⟩, (abc)₁₀ ≥ 435
⟨⋯ a ⋯ 1 ⋯⟩, a = 0|4|6
min ⊢5⊣ = 1

#125034_v2.8

2024-12-24 WR

2024-12-22 WR

2024-12-22 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
{p2, p1, p0} = ? + {0,1,3}
⟨   ⁵ᵗʰb ⁴ᵗʰc ³ʳᵈd     ⁰ᵗʰa ⟩, a > b > c > d
6th → a, 0th → b, a+b=8

⛔Avoid
2nd → 1|4|6

#125034_v2.8

2024-12-20 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁶ᵗʰd       ²ⁿᵈa ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c > d
⟨⋯ 2 ⋯ ? ⋯ 3 (?+1)⟩ (?≠3,2)
{p6, p3, p1, p0} = ? + {0,1,2,4}

⛔Avoid
⟦0,5⟧ ∋ 4,6

#125034_v2.8

2024-12-20 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 1 ⋯ 4 ⋯ 2 ⋯⟩
⟨       ²ⁿᵈa ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 152
⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, max⟦a,b⟧ = 5
⟨? ⋯ 0 (?+2) ⋯ 5 ⋯⟩ (?≠0)

⛔Avoid
5th → 1|2|5

#125034_v2.8

2024-12-19 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
{p6, p4, p3, p1} = ? + {0,1,3,4}
⟨⋯ ? ⋯ 1 ⋯ (?+1)⟩ (?≠1,0)
⟨ ⁶ᵗʰa ⁵ᵗʰb           ⟩, (ab)₁₀ ≤ 15

⛔Avoid
⟦0,4⟧ ∋ 5
⟨⋯ ? ⋯ 1 ⋯ (?+3)⟩ (?≠1)

#125034_v2.8

2024-12-19 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 4th → b, |a-b|=3
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, max⟦a,b⟧ = 4
⟨? ⋯ 5 ⋯ (?+1) ⋯⟩ (?≠4)
⟨     ³ʳᵈa   ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 30
⟨⋯ a ⋯ 3 ⋯⟩, a = 4|5

#125034_v2.8

2024-12-17 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
{p5, p3, p2, p1} = ? + {0,1,2,4}
⟨⋯ 2 ⋯ ? 6 ⋯ (?+4)⟩ (?≠2)

⛔Avoid
Jump(1,4) = 1

#125034_v2.8

2024-12-17 WR

 

2024-12-15 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 1st → b, ab=2+5n
⟨ ⁶ᵗʰc ⁵ᵗʰb ⁴ᵗʰa       ⁰ᵗʰd ⟩, a > b > c > d
max ⊢2⊣ = 2

⛔Avoid
4 ∾ 5
3rd → 0|4
2nd → a, 1st → b, ab=2+4n

#125034_v2.8

2024-12-15 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(1,4) ≥ 1
4th → a, 1st → b, a+b=6
5th → a, 2nd → b, ab=5

⛔Avoid
max ⊢3⊣ ≥ 4

#125034_v2.8

2024-12-13 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 1st → b, |a-b|=2
{p5, p3, p2} = ? + {0,2,3}

⛔Avoid
⟨   ⁵ᵗʰa       ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 315
⟦5,6⟧ ∋ 3
5th → a, 3rd → b, ab=0+5n
min ⊢4⊣ = 2
⟨⋯ 5 ⋯ a ⋯⟩, a = 3|4|6

#125034_v2.8

2024-12-13 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
min {p5, p3, p2} = 0
1st → 0|1|4|5

⛔Avoid
5th → a, 4th → b, |a-b|=3
⟨     ³ʳᵈb ²ⁿᵈa     ⟩, a > b
Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ1 ³ʳᵈ5 ²ⁿᵈ0 ¹ˢᵗ3 ⁰ᵗʰ2 ⟩ = 1
4th → a, 1st → b, a+b=3+5n
Sim⟨ ⁵ᵗʰ3 ⁴ᵗʰ2 ³ʳᵈ4 ²ⁿᵈ5 ¹ˢᵗ1 ⁰ᵗʰ0 ⟩ = 1
1st → 4|5
⟨⋯ 5 ⋯ ? 1 ⋯ (?+2)⟩ (?≠1)

#125034_v2.8

2024-12-10 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 5 ⋯ ? ⋯ 6 (?−4)⟩ (?≠6)
⟨⋯ ? ⋯ 4 ⋯ (?−1)⟩ (?≠4,5)
⟨⋯ Perm(0,2,4) ⋯⟩
Jump(1,2) = 4

⛔Avoid
0 ∾ 2 ∾ 3 ∾ 6
⟨⋯ 0 ⋯ 4 ⋯ 5 ⋯ 1 ⋯⟩

#125034_v2.7

2024-12-10 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 2nd → b, a+b=2+5n
⟨? ⋯ 4 (?+1) ⋯ 1 ⋯⟩ (?≠4,3)

⛔Avoid
Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ3 ³ʳᵈ5 ²ⁿᵈ4 ¹ˢᵗ0 ⁰ᵗʰ1 ⟩ ≤ 1
⟨     ³ʳᵈa     ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 42

#125034_v2.7

2024-12-08 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁶ᵗʰ↑ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after 6−⟨⇌⟩
{p6, p2, p0} = ? + {0,3,4}

⛔Avoid
max ⊢0⊣ = 2
max ⊢2⊣ = 3
⟨ ⁶ᵗʰ↑ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ= ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after ⟨⇌⟩
Jump(1,6) ≥ 1

#125034_v2.7

2024-12-08 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(1,2,4) ⋯⟩
5th → a, 1st → b, ab=0
⟨⋯ ? ⋯ 2 ⋯ (?−1)⟩ (?≠2,3)

⛔Avoid
⟨⋯ 5 ⋯ 4 ⋯ 0 ⋯⟩
5th|3rd|1st|0th → 1
⟨⋯ ? ⋯ 1 ⋯ (?−1)⟩ (?≠1,2)

#125034_v2.7

2024-12-06 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? 4 ⋯ (?−5) ⋯ 3 ⋯⟩
median {p4, p2, p1} = 2

⛔Avoid
min {p4, p3, p1} = 1
4th|3rd|1st → 2
Jump(0,2) = 0
1st → a, 0th → b, ab=6
⟨⋯ Perm(1,2) ⋯⟩

#125034_v2.7

2024-12-06 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 0th → b, a+b=7
⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, max⟦a,b⟧ = 4
⟨⋯ ? ⋯ 0 ⋯ (?+2)⟩ (?≠0)

⛔Avoid
Jump(0,1) = 0
0 ∾ 1 ∾ 3 ∾ 4 ∾ 5

#125034_v2.7

2024-12-05 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 1 ⋯ ? 0 ⋯ (?+3)⟩ (?≠0)
median {p6, p4, p1} = 2
Sim⟨ ⁶ᵗʰ2 ⁵ᵗʰ5 ⁴ᵗʰ3 ³ʳᵈ1 ²ⁿᵈ6 ¹ˢᵗ0 ⁰ᵗʰ4 ⟩ ≥ 3
⟨ ⁶ᵗʰa     ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≥ 325

⛔Avoid
Jump(1,5) ≥ 2

#125034_v2.7

2024-12-05 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨     ³ʳᵈa ²ⁿᵈc ¹ˢᵗb   ⟩, a > b > c
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after ⟨⇌⟩
⟨   ⁴ᵗʰa   ²ⁿᵈb   ⁰ᵗʰc ⟩, a > b > c
5th → a, 3rd → b, a+b=6

#125034_v2.7

2024-12-03 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|=1
⟨? 2 ⋯ (?+3) ⋯ 6 ⋯⟩ (?≠2)
Jump(2,3) ≥ 2

⛔Avoid
⟨? ⋯ 4 ⋯ (?+5) ⋯⟩

#125034_v2.7

2024-12-03 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
1st → a, 0th → b, a+b=6
5th|4th|3rd|0th → 1
⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, min⟦a,b⟧ = 1

⛔Avoid
4th → 0|2|4|5
⟨⋯ Perm(0,1,3) ⋯⟩
⟨? ⋯ 4 ⋯ (?+2) ⋯⟩ (?≠2)

#125034_v2.7

2024-12-01 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 6 ⋯ ? 4 ⋯ (?+3)⟩ (?≠1)
6th → a, 2nd → b, a+b=5
5th → a, 4th → b, a+b=1+5n

⛔Avoid
max ⊢0⊣ ≥ 4

#125034_v2.7

2024-12-01 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
2nd → a, 0th → b, |a-b|=1
⟨⋯ Perm(0,2,5) ⋯⟩
4th|0th → 0
⟨ ⁵ᵗʰa     ²ⁿᵈc   ⁰ᵗʰb ⟩, a > b > c
⟨⋯ ? ⋯ 3 ⋯ (?−1)⟩ (?≠3,4)

#125034_v2.7