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2025-07-31 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? 6 ⋯ (?+2) ⋯ 5 ⋯⟩ (?≠4)
⟨⋯ 2 ⋯ 0 ⋯ 1 ⋯⟩
⟦2,3⟧ ∋ 1

⛔Avoid
⟦5,6⟧ ∋ 1,3,4
median {p5, p2, p1} = 5

#125034_v2.9

2025-07-31 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
{p5, p3, p2} = ? + {0,1,3}
min {p5, p2, p0} = 2
⟨   ⁴ᵗʰa ³ʳᵈb       ⟩, (ab)₁₀ ≤ 04
⟨ ⁵ᵗʰa     ²ⁿᵈb ¹ˢᵗc   ⟩, a > b > c

#125034_v2.9

2025-07-29 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th|2nd → 0
Jump(2,4) = 2

⛔Avoid
⟨ ▧ ▧ ▧ ▢ ▢ ▢ ⟩, Σ▧ ≤ Σ▢
⟨⋯ a ⋯ 1 ⋯⟩, a = 2|4|5
⟨ ⁵ᵗʰa         ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 30

#125034_v2.9

2025-07-29 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
1st → 5
6th → 3
2nd → a, 1st → b, |a-b|=5
0th → 2
⟨       ³ʳᵈa   ¹ˢᵗb   ⟩, max⟦a,b⟧ = 6

⛔Avoid
6th → a, 4th → b, a+b=4+6n

#125034_v2.9

2025-07-27 WR


2025-07-27 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
3rd → 5
median {p5, p4, p0} = 4
⟨       ³ʳᵈa   ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 520
{p4, p2, p0} = ? + {0,2,3}

⛔Avoid
3rd → a, 0th → b, a+b=3+6n
max ⊢1⊣ = 2

#125034_v2.9

2025-07-25 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 4 ⋯ 6 ⋯ 3 ⋯⟩
2nd → 2|3
⟨ ▧ − − ▢ ▢ ▢ − ⟩, ▧ ≥ Σ▢

⛔Avoid
⟨     ⁴ᵗʰa   ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 421
Sim⟨ ⁶ᵗʰ6 ⁵ᵗʰ5 ⁴ᵗʰ3 ³ʳᵈ2 ²ⁿᵈ1 ¹ˢᵗ0 ⁰ᵗʰ4 ⟩ ≥ 1

#125034_v2.9

2025-07-25 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰa     ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c
⟨ − − ▧ ▢ ▢ ▢ ⟩, ▧ ≥ Σ▢
⟦2,5⟧ ∋ 0,4

⛔Avoid
⟦0,3⟧ ∋ 1
⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, max⟦a,b⟧ = 5
⟨? ⋯ 3 (?−1) ⋯ 2 ⋯⟩ (?≠3,4)

#125034_v2.9

2025-07-24 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
max ⊢1⊣ ≤ 3
⟨     ⁴ᵗʰa ³ʳᵈb       ⟩, (ab)₁₀ ≥ 35
⟨⋯ 0 ⋯ a ⋯⟩, a = 2|4
⟨     ⁴ᵗʰ↑ ³ʳᵈ↑ ²ⁿᵈ↓     ⟩ after 2×⟨←⟩
⟨⋯ 0 ⋯ a ⋯⟩, a = 3|4

⛔Avoid
min ⊢6⊣ ≥ 1
⟨   ⁵ᵗʰa   ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 432

#125034_v2.9

2025-07-24 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ3 ³ʳᵈ5 ²ⁿᵈ4 ¹ˢᵗ0 ⁰ᵗʰ1 ⟩ = 1
⟨   ⁴ᵗʰc ³ʳᵈb     ⁰ᵗʰa ⟩, a > b > c

⛔Avoid
1st → a, 0th → b, |a-b|=5
⟨ − − ▧ ▢ ▢ − ⟩, ▧ ≤ Σ▢
⟨⋯ a ⋯ 2 ⋯⟩, a = 1|4|5

#125034_v2.9

2025-07-22 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰa ³ʳᵈb   ¹ˢᵗc   ⟩, a > b > c
5th → a, 2nd → b, ab=2+4n
⟨ ▧ ▧ ▧ ▢ ▢ ▢ ⟩, Σ▧ ≤ Σ▢

⛔Avoid
⟨ ▧ ▧ − ▢ − − ⟩, Σ▧ ≤ ▢
⟨⋯ Perm(1,3,4) ⋯⟩

#125034_v2.9

2025-07-22 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(1,2,3) ⋯⟩
min {p6, p2, p0} = 1
6th → a, 1st → b, ab=5+6n
min ⊢4⊣ = 4

⛔Avoid
5th → 2

#125034_v2.9

2025-07-20 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
min {p5, p4} = 0
⟨ ⁶ᵗʰ↓ ⁵ᵗʰ↓   ³ʳᵈ↓ ²ⁿᵈ↑     ⟩ after 3×⟨←⟩
6th|5th|4th|3rd|2nd → 5
Jump(4,6) ≤ 1
⟨ ⁶ᵗʰa         ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 516

⛔Avoid
{p5, p3, p2} = ? + {0,1,3}

#125034_v2.9

2025-07-20 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 4th → b, |a-b|=2
2nd|1st|0th → 3
max {p5, p4, p2} = 3
⟨ − − ▧ ▧ ▢ − ⟩, Σ▧ ≤ ▢
{p5, p2, p0} = ? + {0,1,2}

#125034_v2.9

2025-07-18 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
2nd → a, 0th → b, ab=30
6th → 0|2|6

⛔Avoid
6th|4th|3rd|1st|0th → 0
⟨⋯ ? ⋯ 4 ⋯ (?−1)⟩ (?≠4,5)
⟨   ⁵ᵗʰd ⁴ᵗʰb ³ʳᵈa   ¹ˢᵗc   ⟩, a > b > c > d
⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 40
min {p6, p4, p2} = 1

#125034_v2.9

2025-07-18 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
3rd → a, 2nd → b, |a-b|=3
⟦0,3⟧ ∋ 1,4
⟨   ⁴ᵗʰc     ¹ˢᵗa ⁰ᵗʰb ⟩, a > b > c
⟨⋯ 3 ⋯ 2 ⋯⟩
3rd → 0|4|5

#125034_v2.9

2025-07-17 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? 0 ⋯ (?−1) ⋯ 3 ⋯⟩ (?≠1)
3rd → a, 1st → b, a+b=5
⟨⋯ ? ⋯ 3 ⋯ (?+5)⟩

⛔Avoid
⟨⋯ 4 ⋯ a ⋯⟩, a = 0|1
⟨ − − ▧ ▧ ▢ − − ⟩, Σ▧ ≥ ▢

#125034_v2.9

2025-07-17 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(1,3,5) ⋯⟩
⟨           ⁰ᵗʰ↑ ⟩ after 3×⟨←⟩
Jump(1,2) = 0

⛔Avoid
⟨ ⁵ᵗʰa   ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 043

#125034_v2.9

2025-07-15 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
2nd → 0|1|4|5
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↓ ³ʳᵈ↑ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after 5−⟨⋯⟩
⟨ − ▧ ▧ ▢ ▢ ▢ ⟩, Σ▧ ≥ Σ▢

⛔Avoid
⟨⋯ ? ⋯ 5 ⋯ (?−2)⟩ (?≠5)
⟨ ⁵ᵗʰ= ⁴ᵗʰ↓ ³ʳᵈ↑ ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ= ⟩ after 5−⟨⇌⟩
4th → a, 2nd → b, |a-b|=4

#125034_v2.9

2025-07-15 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → 1|5

⛔Avoid
min ⊢3⊣ ≤ 1
⟨⋯ Perm(3,4) ⋯⟩
⟨ − ▧ ▧ ▧ ▢ ▢ ▢ ⟩, Σ▧ ≤ Σ▢
median {p6, p5, p2} = 1
4th|2nd|1st|0th → 2
⟨? ⋯ 1 (?+2) ⋯ 0 ⋯⟩ (?≠1)
⟨⋯ Perm(2,3,5) ⋯⟩
⟨   ⁵ᵗʰa   ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 430

#125034_v2.9

2025-07-13 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=7
5th → 1|4|6
⟨⋯ 6 ⋯ ? ⋯ 5 (?−3)⟩ (?≠5)
⟨⋯ Perm(3,6) ⋯⟩
min ⊢2⊣ = 1

#125034_v2.9

2025-07-13 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 2 ⋯ 3 ⋯ 4 ⋯⟩
max {p3, p2} = 3
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↓ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ↑ ⁰ᵗʰ↑ ⟩ after ⟨⇌⟩

⛔Avoid
3rd → a, 2nd → b, |a-b|=2
⟨⋯ 0 ⋯ ? 4 ⋯ (?+1)⟩ (?≠4,3)

#125034_v2.9

2025-07-11 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦0,4⟧ ∋ 1,3,5,6
⟨     ⁴ᵗʰb ³ʳᵈa   ¹ˢᵗc ⁰ᵗʰd ⟩, a > b > c > d
⟨   ⁵ᵗʰb       ¹ˢᵗa   ⟩, a > b
⟨? ⋯ 6 ⋯ (?+1) ⋯⟩ (?≠5)

⛔Avoid
Jump(2,3) ≥ 3

#125034_v2.9

2025-07-11 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ▧ ▧ − − ▢ ▢ ⟩, Σ▧ ≤ Σ▢
⟨⋯ 4 ⋯ a ⋯⟩, a = 3|5
3rd → a, 2nd → b, ab=2+5n
{p2, p1, p0} = ? + {0,1,2}

⛔Avoid
5th → 0|4

#125034_v2.9

2025-07-10 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
Sim⟨ ⁶ᵗʰ0 ⁵ᵗʰ4 ⁴ᵗʰ5 ³ʳᵈ1 ²ⁿᵈ3 ¹ˢᵗ6 ⁰ᵗʰ2 ⟩ ≥ 1
⟨     ⁴ᵗʰa ³ʳᵈb       ⟩, (ab)₁₀ ≥ 30
6th → a, 2nd → b, ab=30
⟨⋯ Perm(1,3,5) ⋯⟩
⟦3,6⟧ ∋ 1,2

#125034_v2.9

2025-07-10 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁵ᵗʰa   ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 250
3rd → a, 2nd → b, ab=20

⛔Avoid
⟨     ³ʳᵈa   ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c
⟨   ⁴ᵗʰa ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 341

#125034_v2.9

2025-07-08 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc       ⟩, (abc)₁₀ ≤ 201
⟨     ³ʳᵈa   ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 314
3rd → a, 2nd → b, ab=0+5n
4th → a, 3rd → b, a+b=6

⛔Avoid
⟨ ▧ ▧ − ▢ ▢ − ⟩, Σ▧ = Σ▢
⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 42

#125034_v2.9

2025-07-08 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
median {p4, p3, p0} = 1
⟨⋯ ? ⋯ 0 ⋯ (?−3)⟩ (?≠3)
⟦5,6⟧ ∋ 0,2,3,4
4th → a, 1st → b, |a-b|=1

⛔Avoid
max {p3, p2} = 3

#125034_v2.9

2025-07-06 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
median {p6, p5, p1} = 1
⟨? ⋯ 5 ⋯ (?−1) ⋯⟩ (?≠5,6)
Jump(3,5) = 0

⛔Avoid
⟨ ▧ ▧ − ▢ ▢ − − ⟩, Σ▧ ≤ Σ▢

#125034_v2.9

2025-07-06 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → 0|1|5
max ⊢3⊣ = 3
⟨ ⁵ᵗʰa   ³ʳᵈb       ⟩, min⟦a,b⟧ = 0
3rd → a, 1st → b, a+b=4+5n
Jump(1,2) = 3

#125034_v2.9

2025-07-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ ? ⋯ 5 ⋯ (?−3)⟩ (?≠5)
⟨⋯ ? ⋯ 3 ⋯ (?−3)⟩ (?≠3,6)
⟦2,3⟧ ∋ 0,5,6
⟨   ⁵ᵗʰ↓   ³ʳᵈ↓ ²ⁿᵈ↓ ¹ˢᵗ↑   ⟩ after 3×⟨←⟩

#125034_v2.9

2025-07-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? ⋯ 2 (?−3) ⋯ 1 ⋯⟩ (?≠5)
⟨ − ▧ ▧ ▢ ▢ ▢ ⟩, Σ▧ ≥ Σ▢
⟨⋯ Perm(0,2,3) ⋯⟩

#125034_v2.9

2025-07-03 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁶ᵗʰb   ⁴ᵗʰa ³ʳᵈd ²ⁿᵈc     ⟩, a > b > c > d
2nd → 1|2|6

⛔Avoid
5th → a, 3rd → b, |a-b|=2
⟨ ⁶ᵗʰa     ³ʳᵈb       ⟩, max⟦a,b⟧ = 6
⟨⋯ 5 ⋯ 2 ⋯ 6 ⋯⟩
⟨ ⁶ᵗʰa     ³ʳᵈb       ⟩, (ab)₁₀ ≤ 35

#125034_v2.9

2025-07-03 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰa     ¹ˢᵗb   ⟩, min⟦a,b⟧ = 1
5th → a, 1st → b, |a-b|=2
1st → a, 0th → b, a+b=4+5n

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

#125034_v2.9

2025-07-01 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 0th → b, ab=3+5n
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, max⟦a,b⟧ = 5
2nd → a, 1st → b, ab=5

⛔Avoid
⟦0,1⟧ ∋ 2
⟨⋯ 5 ⋯ 2 ⋯⟩

#125034_v2.9

2025-07-01 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
min {p6, p4, p2} = 0
median {p6, p2, p1} = 4
6th → 1|2|5
⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, max⟦a,b⟧ = 5

⛔Avoid
⟦1,2⟧ ∋ 0,3,4,6
⟨⋯ 2 ⋯ 6 ⋯ 1 ⋯⟩
1st → 4

#125034_v2.9