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2025-02-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
min ⊢4⊣ = 3
⟨⋯ Perm(3,5,6) ⋯⟩
2nd → a, 1st → b, a+b=1
3 ∾ 4 ∾ 5 ∾ 6

⛔Avoid
⟨   ⁵ᵗʰb ⁴ᵗʰa   ²ⁿᵈd ¹ˢᵗc   ⟩, a > b > c > d

#125034_v2.8

2025-02-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? 5 ⋯ (?+2) ⋯ 4 ⋯⟩ (?≠3)
⟨⋯ ? ⋯ 4 ⋯ (?−1)⟩ (?≠4,5)
⟨⋯ Perm(1,4,5) ⋯⟩

#125034_v2.8

2025-02-27 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ ? ⋯ 5 ⋯ (?−6)⟩
⟨⋯ 2 ⋯ 1 ⋯ 4 ⋯ 0 ⋯⟩
⟨⋯ Perm(1,5,6) ⋯⟩
5th → 3|4|5

⛔Avoid
⟨⋯ Perm(5,6) ⋯⟩

#125034_v2.8

2025-02-27 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
max ⊢3⊣ = 4
5th → a, 1st → b, ab=3+5n
⟨⋯ Perm(0,3,5) ⋯⟩

⛔Avoid
5th|2nd|1st|0th → 2

#125034_v2.8

2025-02-25 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(2,5) = 2
⟦0,2⟧ ∋ 3,4

⛔Avoid
min ⊢3⊣ ≤ 2
5th → 0|1|3
⟨? ⋯ 1 ⋯ (?−2) ⋯⟩ (?≠3)

#125034_v2.8

2025-02-25 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦1,2⟧ ∋ 3,4,6
⟨   ⁵ᵗʰa   ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 123
⟦0,4⟧ ∋ 3,6

⛔Avoid
⟨⋯ 3 ⋯ a ⋯⟩, a = 0|1|5|6
⟨⋯ 5 ⋯ 6 ⋯ 4 ⋯⟩

#125034_v2.8

2025-02-23 WR

 

2025-02-23 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁵ᵗʰa ⁴ᵗʰb       ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 521
6th → a, 5th → b, ab=1+4n
⟨⋯ ? ⋯ 2 ⋯ (?+2)⟩ (?≠2,0)
min {p6, p3, p1} = 0

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

#125034_v2.8

2025-02-21 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
3rd → a, 0th → b, ab=2+6n
4th → 0|2|4
5th → a, 2nd → b, |a-b|=2
{p5, p3, p0} = ? + {0,1,2}

⛔Avoid
Jump(3,5) ≥ 1
⟦2,5⟧ ∋ 1,4,6

#125034_v2.8

2025-02-21 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(1,4) ≥ 2

⛔Avoid
⟨ ⁵ᵗʰc ⁴ᵗʰa   ²ⁿᵈb     ⟩, a > b > c
⟨⋯ Perm(4,5) ⋯⟩
Jump(4,5) ≥ 2
max {p5, p4, p0} = 4
⟨⋯ Perm(1,2) ⋯⟩
5th|4th|2nd|1st → 0
{p5, p4, p1} = ? + {0,1,2}

#125034_v2.8

2025-02-20 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
min {p5, p2, p0} = 0
2nd → 1|2|3
Sim⟨ ⁶ᵗʰ0 ⁵ᵗʰ3 ⁴ᵗʰ6 ³ʳᵈ4 ²ⁿᵈ1 ¹ˢᵗ5 ⁰ᵗʰ2 ⟩ ≥ 3
⟨⋯ Perm(2,4,5) ⋯⟩
⟨⋯ 1 ⋯ 6 ⋯⟩
0th → 0|4|5

⛔Avoid
{p6, p4, p3, p1} = ? + {0,1,2,3}

#125034_v2.8

2025-02-20 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, min⟦a,b⟧ = 1
⟨     ³ʳᵈa ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 240

⛔Avoid
3rd|2nd|0th → 5
Sim⟨ ⁵ᵗʰ1 ⁴ᵗʰ4 ³ʳᵈ0 ²ⁿᵈ3 ¹ˢᵗ2 ⁰ᵗʰ5 ⟩ = 0
⟨ ⁵ᵗʰa   ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 420
⟨? ⋯ 4 ⋯ (?−3) ⋯⟩ (?≠4)

#125034_v2.8

2025-02-18 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
{p5, p3, p0} = ? + {0,1,2}
1st → a, 0th → b, |a-b|=1
⟨⋯ 0 ⋯ ? 3 ⋯ (?−3)⟩ (?≠3)
5th → a, 1st → b, |a-b|=3

#125034_v2.8

2025-02-18 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 0 ⋯ 3 ⋯ 2 ⋯ 4 ⋯⟩
max ⊢4⊣ = 5

⛔Avoid
min {p6, p3, p1} = 0
Jump(1,3) ≥ 1
⟨     ⁴ᵗʰa ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 302
max ⊢2⊣ = 5

#125034_v2.8

2025-02-16 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
{p6, p4, p3} = ? + {0,1,3}
⟦2,3⟧ ∋ 0,5,6
⟨⋯ 6 ⋯ 4 ⋯ 1 ⋯⟩
5th|2nd → 0

⛔Avoid
4th|1st|0th → 2

#125034_v2.8

2025-02-16 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
max {p5, p3, p2} = 5
{p4, p2, p0} = ? + {0,1,2}
4th → a, 1st → b, a+b=3+4n

⛔Avoid
5th → 1|3|5
⟨⋯ 4 ⋯ a ⋯⟩, a = 0|2|3
⟨       ²ⁿᵈa ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 42
⟨⋯ 4 ⋯ a ⋯⟩, a = 0|1

#125034_v2.8

2025-02-14 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 4 ⋯ 6 ⋯ 1 ⋯⟩
Jump(2,5) = 2
⟨ ⁶ᵗʰ↑ ⁵ᵗʰ↓     ²ⁿᵈ↓ ¹ˢᵗ↓   ⟩ after 2×⟨→⟩
6th → a, 2nd → b, a+b=3+5n

⛔Avoid
6th|5th|3rd|1st|0th → 4

#125034_v2.8

2025-02-14 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → 2
⟨ ⁵ᵗʰb         ⁰ᵗʰa ⟩, a > b
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, (ab)₁₀ ≤ 30
5th → a, 2nd → b, |a-b|=2

⛔Avoid
5th|4th|1st|0th → 4

#125034_v2.8

2025-02-13 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦1,2⟧ ∋ 0,3,4,5
⟨? ⋯ 5 ⋯ (?+3) ⋯⟩ (?≠2)
⟨⋯ Perm(0,3,5) ⋯⟩

⛔Avoid
⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, min⟦a,b⟧ = 0
⟦1,4⟧ ∋ 0,3,6
⟨ ⁶ᵗʰ↑     ³ʳᵈ↑ ²ⁿᵈ↓     ⟩ after ⟨→⟩
6th → a, 0th → b, ab=6

#125034_v2.8

2025-02-13 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 4 ⋯ 2 ⋯⟩
⟨ ⁵ᵗʰb   ³ʳᵈa   ¹ˢᵗc   ⟩, a > b > c
Jump(0,2) ≤ 1

⛔Avoid
max ⊢3⊣ ≥ 4
⟨? ⋯ 2 ⋯ (?−1) ⋯⟩ (?≠2,3)
⟨? ⋯ 1 ⋯ (?+2) ⋯⟩ (?≠1)

#125034_v2.8

2025-02-11 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ ? ⋯ 5 ⋯ (?+1)⟩ (?≠4)
⟨ ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc       ⟩, (abc)₁₀ ≥ 154

⛔Avoid
⟦2,3⟧ ∋ 4
Sim⟨ ⁵ᵗʰ3 ⁴ᵗʰ1 ³ʳᵈ0 ²ⁿᵈ4 ¹ˢᵗ5 ⁰ᵗʰ2 ⟩ ≥ 1
min ⊢5⊣ ≤ 2

#125034_v2.8

2025-02-11 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 0th → b, ab=4+5n
max ⊢4⊣ = 5
Jump(0,2) ≥ 2

⛔Avoid
3rd → 1|2|4|5|6
Sim⟨ ⁶ᵗʰ3 ⁵ᵗʰ0 ⁴ᵗʰ5 ³ʳᵈ6 ²ⁿᵈ2 ¹ˢᵗ4 ⁰ᵗʰ1 ⟩ ≤ 1
max {p4, p3, p0} = 4

#125034_v2.8

2025-02-09 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 0 ⋯ ? ⋯ 6 (?+1)⟩ (?≠5)
6th → a, 5th → b, |a-b|=1
6th → 1|5|6
5th|2nd|1st → 1

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

#125034_v2.8

2025-02-09 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th|3rd|1st|0th → 2
⟨⋯ Perm(1,2,4) ⋯⟩
{p4, p3, p2} = ? + {0,1,2}

⛔Avoid
⟨         ¹ˢᵗ↓   ⟩ after 2×⟨←⟩
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↓ ³ʳᵈ↑ ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↑ ⟩ after 5−⟨⋯⟩
5th → a, 1st → b, |a-b|=1

#125034_v2.8

2025-02-07 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ ? ⋯ 3 ⋯ (?−1)⟩ (?≠3,4)
6th → a, 5th → b, |a-b|=4
⟨? ⋯ 1 (?−2) ⋯ 3 ⋯⟩ (?≠3)
6th → a, 3rd → b, a+b=2+4n
⟨     ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 152

⛔Avoid
Jump(1,4) = 1
{p6, p4, p3} = ? + {0,1,2}

#125034_v2.8

2025-02-07 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
1st → a, 0th → b, a+b=0+4n
⟨? ⋯ 1 ⋯ (?−2) ⋯⟩ (?≠3)
5th|4th|2nd|0th → 0

⛔Avoid
⟨⋯ Perm(2,4,5) ⋯⟩
⟨⋯ Perm(3,5) ⋯⟩
⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 30
1 ∾ 4

#125034_v2.8

2025-02-06 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
{p3, p2, p0} = ? + {0,2,3}
Jump(5,6) ≥ 3
Jump(4,5) = 4

⛔Avoid
⟨       ³ʳᵈa     ⁰ᵗʰb ⟩, max⟦a,b⟧ = 5
⟨⋯ 2 ⋯ ? 3 ⋯ (?+4)⟩
max ⊢3⊣ ≥ 5

#125034_v2.8

2025-02-06 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦4,5⟧ ∋ 2,3
⟨   ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 210

⛔Avoid
max {p5, p4, p2} = 5
5th → a, 4th → b, ab=0+5n
3rd → 0|1|4|5
⟨⋯ a ⋯ 2 ⋯⟩, a = 1|3
min {p4, p3, p0} = 0

#125034_v2.8

2025-02-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, (ab)₁₀ ≤ 32
⟨⋯ 3 ⋯ 0 ⋯⟩

⛔Avoid
max ⊢1⊣ ≥ 3
⟦1,4⟧ ∋ 3,5
⟨     ³ʳᵈa ²ⁿᵈb ¹ˢᵗc   ⟩, a > b > c
Jump(2,4) ≥ 1
⟨⋯ Perm(0,1,3) ⋯⟩
5th → a, 2nd → b, a+b=4

#125034_v2.8

2025-02-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 3rd → b, ab=3+4n
⟨       ³ʳᵈ↓ ²ⁿᵈ↓ ¹ˢᵗ↑   ⟩ after 3×⟨←⟩
6th → a, 2nd → b, a+b=7
⟨     ⁴ᵗʰb     ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c

#125034_v2.8

2025-02-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(3,4,6) ⋯⟩
4th → a, 1st → b, ab=3+4n
min ⊢2⊣ = 2
6th → 3|4|5

⛔Avoid
6th|5th|3rd|1st|0th → 3
max ⊢1⊣ ≤ 4
⟦5,6⟧ ∋ 3,4
{p6, p5, p4, p2} = ? + {0,1,2,3}

#125034_v2.8

2025-02-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(2,3,4) ⋯⟩
Jump(2,5) = 0
⟨       ²ⁿᵈ↑   ⁰ᵗʰ↑ ⟩ after 2×⟨→⟩

⛔Avoid
⟨? ⋯ 4 ⋯ (?+2) ⋯⟩ (?≠2)
4th → a, 2nd → b, |a-b|=1
5th → a, 3rd → b, ab=2

#125034_v2.8