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2025-09-30 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰb   ²ⁿᵈc   ⁰ᵗʰa ⟩, a > b > c
⟨⋯ 5 ⋯ 2 ⋯⟩
3rd → a, 0th → b, |a-b|=2

⛔Avoid
min {p5, p3, p0} = 2
⟦4,5⟧ ∋ 0,2

#125034_v2.10

2025-09-30 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
6th → a, 5th → b, |a-b|=1
min ⊢6⊣ ≤ 1
⟨⋯ 6 ⋯ 1 ⋯ 3 ⋯⟩

⛔Avoid
max ⊢2⊣ ≤ 4
⟦1,5⟧ ∋ 0,2,4,6
⟨⋯ ? ⋯ 5 ⋯ (?−1)⟩ (?≠5,6)
⟨⋯ 3 ⋯ 0 ⋯⟩

#125034_v2.10

2025-09-28 WR

2025-09-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦4,6⟧ ∋ 0,5
6th → a, 1st → b, ab=18
⟨⋯ a ⋯ 2 ⋯⟩, a = 4|5
6th → a, 3rd → b, |a-b|=5
⟨? ⋯ 1 ⋯ (?−6) ⋯⟩

#125034_v2.10

2025-09-26 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, |a-b|=3
⟨⋯ Perm(0,3,5) ⋯⟩

⛔Avoid
{p5, p4, p2, p0} = ? + {0,1,2,4}
⟨ ⁶ᵗʰa ⁵ᵗʰb   ³ʳᵈc       ⟩, (abc)₁₀ ≥ 612
⟨ ▧ ▢ ▢ ▢ − − − ⟩, ▧ ≤ Σ▢
⟨⋯ Perm(3,5) ⋯⟩

#125034_v2.10

2025-09-26 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
{p4, p2, p0} = ? + {0,1,3}
⟨⋯ ? ⋯ 0 ⋯ (?−2)⟩ (?≠2)
5th → a, 4th → b, a+b=9
⟨⋯ a ⋯ 4 ⋯⟩, a = 0|2|3|5

⛔Avoid
⟦0,5⟧ ∋ 2,4
⟨⋯ 0 ⋯ ? ⋯ 3 (?+2)⟩ (?≠3,1)

#125034_v2.10

2025-09-25 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
3rd → a, 1st → b, ab=8
6th|3rd|1st|0th → 3
4th → a, 1st → b, |a-b|=1

⛔Avoid
6th|5th|4th|2nd|1st → 6
{p6, p3, p2, p1} = ? + {0,1,2,3}
2nd → a, 1st → b, a+b=0+4n

#125034_v2.10

2025-09-25 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
3rd → a, 2nd → b, ab=3
⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, min⟦a,b⟧ = 1
2nd → 1
3rd|0th → 4

⛔Avoid
⟨ ▧ ▧ ▧ − ▢ ▢ ⟩, Σ▧ ≥ Σ▢

#125034_v2.10

2025-09-23 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦1,5⟧ ∋ 2,3
⟨⋯ Perm(3,4) ⋯⟩
{p4, p2, p0} = ? + {0,1,2}

⛔Avoid
⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, min⟦a,b⟧ = 2

#125034_v2.10

2025-09-23 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁵ᵗʰc   ³ʳᵈb   ¹ˢᵗa   ⟩, a > b > c
⟨? 2 ⋯ (?+2) ⋯ 3 ⋯⟩ (?≠2,0)
⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5
⟨ − − ▧ ▧ ▢ − − ⟩, Σ▧ ≤ ▢

⛔Avoid
⟨     ⁴ᵗʰa   ²ⁿᵈb     ⟩, max⟦a,b⟧ = 4

#125034_v2.10

2025-09-21 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(0,3,5) ⋯⟩
⟨⋯ 3 ⋯ ? 6 ⋯ (?−1)⟩ (?≠6)
max ⊢0⊣ ≥ 4
min {p6, p1, p0} = 0

⛔Avoid
⟨⋯ ? ⋯ 6 ⋯ (?−3)⟩ (?≠6)

#125034_v2.10

2025-09-21 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
2nd → 3
⟨⋯ Perm(0,2) ⋯⟩

⛔Avoid
3rd|2nd|1st|0th → 0
⟨⋯ Perm(3,4,5) ⋯⟩
⟨⋯ 0 ⋯ ? ⋯ 1 (?+2)⟩ (?≠1)
Sim⟨ ⁵ᵗʰ5 ⁴ᵗʰ3 ³ʳᵈ2 ²ⁿᵈ1 ¹ˢᵗ0 ⁰ᵗʰ4 ⟩ ≤ 1

#125034_v2.10

2025-09-19 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=3
min ⊢5⊣ ≥ 2
1st → a, 0th → b, |a-b|=4
⟨? ⋯ 0 ⋯ (?+2) ⋯⟩ (?≠0)
Jump(2,3) ≥ 3

#125034_v2.10

2025-09-19 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 2nd → b, ab=0
4th → 1|3|4
⟨ ⁵ᵗʰc   ³ʳᵈb   ¹ˢᵗa   ⟩, a > b > c

⛔Avoid
⟨⋯ a ⋯ 3 ⋯⟩, a = 0|1
0 ∾ 2 ∾ 5

#125034_v2.10

2025-09-18 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ − − ▧ ▧ ▢ ▢ ▢ ⟩, Σ▧ ≥ Σ▢
⟨ ⁶ᵗʰa       ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 345
⟨   ⁵ᵗʰb ⁴ᵗʰc   ²ⁿᵈa     ⟩, a > b > c
min ⊢6⊣ = 1
Jump(1,3) = 2

⛔Avoid
⟨⋯ ? ⋯ 5 ⋯ (?−4)⟩ (?≠5)

#125034_v2.10

2025-09-18 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 2nd → b, a+b=1
⟦2,4⟧ ∋ 1,5
2nd → a, 1st → b, ab=3+5n

⛔Avoid
5th → a, 4th → b, |a-b|=2

#125034_v2.10

2025-09-16 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? 2 ⋯ (?−3) ⋯ 4 ⋯⟩ (?≠5)
2nd → a, 1st → b, ab=20

⛔Avoid
⟨⋯ Perm(1,5) ⋯⟩

#125034_v2.10

2025-09-16 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 3rd → b, ab=4
Sim⟨ ⁶ᵗʰ0 ⁵ᵗʰ3 ⁴ᵗʰ2 ³ʳᵈ1 ²ⁿᵈ4 ¹ˢᵗ6 ⁰ᵗʰ5 ⟩ = 1
max {p6, p4, p2} = 5
⟨ ⁶ᵗʰa     ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≥ 253
5th → 1|2|3|5|6
⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 30

⛔Avoid
⟨? ⋯ 1 ⋯ (?+1) ⋯⟩ (?≠1,0)

#125034_v2.10

2025-09-14 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
1st → 0|4|5
min {p3, p2} = 2
6th → a, 1st → b, |a-b|=3
⟨   ⁵ᵗʰc ⁴ᵗʰb ³ʳᵈa       ⟩, a > b > c

⛔Avoid
⟨       ³ʳᵈa   ¹ˢᵗb   ⟩, min⟦a,b⟧ = 2
⟨   ⁵ᵗʰa         ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 30
⟨ ⁶ᵗʰ↓ ⁵ᵗʰ↑ ⁴ᵗʰ= ³ʳᵈ↓ ²ⁿᵈ= ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after 6−⟨⇌⟩

#125034_v2.10

2025-09-14 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(2,3,4) ⋯⟩
⟨ ▧ − − − ▢ ▢ ⟩, ▧ ≥ Σ▢
Jump(2,5) ≤ 1
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, a > b

⛔Avoid
⟨⋯ ? ⋯ 3 ⋯ (?−1)⟩ (?≠3,4)
4th|0th → 2
⟨ ▧ ▢ ▢ − − − ⟩, ▧ ≥ Σ▢

#125034_v2.10

2025-09-12 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(0,3,5) ⋯⟩
⟨⋯ 6 ⋯ 1 ⋯ 4 ⋯ 5 ⋯⟩
⟨ ⁶ᵗʰ↓ ⁵ᵗʰ= ⁴ᵗʰ↑ ³ʳᵈ↑ ²ⁿᵈ↑ ¹ˢᵗ= ⁰ᵗʰ↓ ⟩ after 6−⟨⇌⟩

#125034_v2.10

2025-09-12 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨     ³ʳᵈb   ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c
5th → a, 0th → b, a+b=3+5n
⟨ ⁵ᵗʰ↑ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↑ ⟩ after 5−⟨⇌⟩

⛔Avoid
⟨ ⁵ᵗʰb       ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c

#125034_v2.10

2025-09-11 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 4th → b, a+b=0+4n
1st → a, 0th → b, a+b=0+5n
⟨⋯ Perm(2,3,5) ⋯⟩
3rd → a, 0th → b, ab=2

⛔Avoid
⟨       ³ʳᵈa     ⁰ᵗʰb ⟩, max⟦a,b⟧ = 5
5th → a, 2nd → b, ab=18
⟨⋯ Perm(3,5,6) ⋯⟩

#125034_v2.10

2025-09-11 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
min ⊢3⊣ ≥ 1
⟨   ⁴ᵗʰa     ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 215
5th → 1|4
3rd → a, 0th → b, a+b=1+4n

⛔Avoid
2nd|1st → 0
2nd → 3|4|5
max ⊢1⊣ ≤ 4

#125034_v2.10

2025-09-09 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
2nd → a, 0th → b, a+b=2+5n
4th → a, 2nd → b, |a-b|=4
4th → a, 3rd → b, a+b=4+5n

⛔Avoid
5th → a, 4th → b, ab=0+5n
⟨⋯ Perm(0,4,5) ⋯⟩

#125034_v2.10

2025-09-09 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
0th → 0|2
{p6, p5, p2, p1} = ? + {0,1,2,3}
⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, min⟦a,b⟧ = 0

⛔Avoid
3rd → a, 0th → b, |a-b|=1
Jump(5,6) ≤ 1
⟨⋯ 0 ⋯ 4 ⋯ 5 ⋯⟩
min ⊢4⊣ = 1
⟨   ⁵ᵗʰa       ¹ˢᵗb   ⟩, max⟦a,b⟧ = 6

#125034_v2.10

2025-09-07 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 2 ⋯ ? ⋯ 1 (?+1)⟩ (?≠1,0)
⟨       ³ʳᵈa   ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5
⟨ ⁶ᵗʰ↓ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ= ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↑ ⟩ after ⟨⇌⟩
max {p5, p2, p0} = 6

⛔Avoid
min ⊢2⊣ ≥ 1
6th → a, 3rd → b, ab=8

#125034_v2.10

2025-09-07 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 4th → b, ab=3+5n
⟨ ▧ − − − ▢ ▢ ⟩, ▧ ≥ Σ▢
median {p5, p3, p1} = 4

⛔Avoid
⟦1,4⟧ ∋ 0,2,3
⟨⋯ 5 ⋯ 1 ⋯ 3 ⋯⟩

#125034_v2.10

2025-09-05 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 ≥ 563
⟨ − ▧ − ▢ ▢ ▢ − ⟩, ▧ = Σ▢
4th → a, 0th → b, |a-b|=5

⛔Avoid
⟨ ▧ − ▢ ▢ − − − ⟩, ▧ ≤ Σ▢
min {p6, p3, p1} = 1
median {p2, p1, p0} = 2

#125034_v2.10

2025-09-05 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 40
⟨? ⋯ 2 ⋯ (?+4) ⋯⟩
0 ∾ 2 ∾ 3

⛔Avoid
min ⊢5⊣ ≥ 1
⟨ − ▧ ▧ − ▢ ▢ ⟩, Σ▧ ≥ Σ▢

#125034_v2.10

2025-09-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
max {p6, p5, p3} = 4
6th → a, 2nd → b, a+b=5
3rd → a, 0th → b, a+b=10
Jump(0,1) = 3
Jump(0,5) ≥ 2

⛔Avoid
⟨⋯ a ⋯ 3 ⋯⟩, a = 2|4|5|6

#125034_v2.10

2025-09-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, max⟦a,b⟧ = 5
1st → 0|4|5

⛔Avoid
Jump(0,3) = 0
⟨     ³ʳᵈa     ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 25
Jump(1,3) ≤ 3
⟨⋯ 2 ⋯ 4 ⋯⟩

#125034_v2.10

2025-09-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 1st → b, |a-b|=1
4th|1st → 0
⟨     ³ʳᵈa ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 43

⛔Avoid
2nd → a, 1st → b, ab=0
5th → a, 0th → b, |a-b|=1
⟨⋯ 4 ⋯ ? 1 ⋯ (?+2)⟩ (?≠1)
⟨⋯ ? ⋯ 5 ⋯ (?+2)⟩ (?≠3)

#125034_v2.10

2025-09-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 4 ⋯ 1 ⋯ 2 ⋯⟩
{p6, p5, p2, p1} = ? + {0,1,2,3}
4th → a, 2nd → b, |a-b|=6

⛔Avoid
Jump(0,5) ≤ 1
⟨ ⁶ᵗʰa ⁵ᵗʰb ⁴ᵗʰd       ⁰ᵗʰc ⟩, a > b > c > d

#125034_v2.10