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2025-10-12 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(0,3) ≤ 2
⟨       ³ʳᵈa   ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 216
1st → 1|4|5|6
0th → 0|1|5
⟨ ⁶ᵗʰc   ⁴ᵗʰa       ⁰ᵗʰb ⟩, a > b > c

⛔Avoid
Jump(2,5) ≥ 2
min ⊢4⊣ ≤ 1
min ⊢2⊣ = 2
Jump(0,3) ≤ 1

#125034_v2.10

2025-10-12 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 0th → b, a+b=7
Jump(2,4) ≤ 1
max ⊢0⊣ = 3

⛔Avoid
⟨     ³ʳᵈa     ⁰ᵗʰb ⟩, min⟦a,b⟧ = 0
⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, max⟦a,b⟧ = 5

#125034_v2.10

2025-10-10 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ ? ⋯ 3 ⋯ (?+3)⟩ (?≠3,0)
max ⊢1⊣ ≥ 5
⟨⋯ Perm(0,6) ⋯⟩
⟨? 4 ⋯ (?+4) ⋯ 0 ⋯⟩ (?≠0)
⟨     ⁴ᵗʰa ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≥ 540

#125034_v2.10

2025-10-10 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
min ⊢3⊣ ≤ 2
⟨ ⁵ᵗʰb   ³ʳᵈa       ⟩, a > b
min {p5, p2, p0} = 0
⟨⋯ Perm(0,1,4) ⋯⟩

⛔Avoid
3rd → a, 0th → b, a+b=3+5n
Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ3 ³ʳᵈ5 ²ⁿᵈ2 ¹ˢᵗ1 ⁰ᵗʰ0 ⟩ ≥ 1
⟨ − − ▧ ▧ − ▢ ⟩, Σ▧ ≤ ▢
4th → a, 0th → b, ab=5
{p4, p2, p1} = ? + {0,2,3}
max ⊢2⊣ ≤ 4
⟨⋯ 3 ⋯ 4 ⋯ 0 ⋯⟩

#125034_v2.10

2025-10-09 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁶ᵗʰa         ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 10
0th → 0|1|6
⟨   ⁵ᵗʰa     ²ⁿᵈb     ⟩, min⟦a,b⟧ = 1
min ⊢3⊣ ≤ 1
5th → a, 1st → b, ab=12

⛔Avoid
⟨ ▧ ▧ − − − ▢ − ⟩, Σ▧ ≤ ▢
⟨       ³ʳᵈa ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≤ 314

#125034_v2.10

2025-10-09 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(0,3) = 0
⟨ − ▧ − ▢ ▢ − ⟩, ▧ ≥ Σ▢
min ⊢5⊣ = 1
min ⊢2⊣ ≤ 1

⛔Avoid
3rd|2nd|1st → 1
3rd → 0|2|4|5

#125034_v2.10

2025-10-07 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰa ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 234
⟨⋯ 3 ⋯ 2 ⋯⟩
1st → 3
2nd → 2|3|5

⛔Avoid
⟨     ³ʳᵈ↓       ⟩ after 2×⟨→⟩

#125034_v2.10

2025-10-07 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
6th → a, 3rd → b, a+b=8
max {p5, p3, p2} = 5
6th|5th|3rd|2nd|0th → 4
⟦0,5⟧ ∋ 1,2,3,4

⛔Avoid
⟦1,6⟧ ∋ 2,3,4,5

#125034_v2.10

2025-10-05 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(0,1) = 1
⟨ ⁶ᵗʰd       ²ⁿᵈc ¹ˢᵗb ⁰ᵗʰa ⟩, a > b > c > d

⛔Avoid
5th → a, 2nd → b, |a-b|=2
3rd → 1|2|4|6
{p3, p2, p1} = ? + {0,1,2}
Sim⟨ ⁶ᵗʰ3 ⁵ᵗʰ4 ⁴ᵗʰ1 ³ʳᵈ0 ²ⁿᵈ2 ¹ˢᵗ5 ⁰ᵗʰ6 ⟩ ≥ 3
⟨ ⁶ᵗʰa   ⁴ᵗʰb         ⟩, a > b

#125034_v2.10

2025-10-05 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 0th → b, |a-b|=5
3rd → a, 0th → b, a+b=2
5th → a, 2nd → b, a+b=6

⛔Avoid
1st → 3

#125034_v2.10

2025-10-03 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=0
⟨? ⋯ 4 (?−4) ⋯ 0 ⋯⟩ (?≠4)
⟨ − − ▧ ▢ ▢ − − ⟩, ▧ ≥ Σ▢
3rd → 2|3|6
⟨   ⁵ᵗʰa   ³ʳᵈb       ⟩, (ab)₁₀ ≤ 42

#125034_v2.10

2025-10-03 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(1,2) ≥ 2
⟨⋯ 3 ⋯ ? 2 ⋯ (?−1)⟩ (?≠2,3)

⛔Avoid
⟨⋯ ? ⋯ 3 ⋯ (?+3)⟩ (?≠0)

#125034_v2.10

2025-10-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 0 ⋯ ? 6 ⋯ (?+3)⟩ (?≠3)
{p4, p3, p0} = ? + {0,1,3}
max ⊢3⊣ = 4
median {p3, p2, p1} = 2

⛔Avoid
median {p5, p4, p0} = 4

#125034_v2.10

2025-10-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
{p5, p4, p0} = ? + {0,1,2}
⟨ ▧ ▢ ▢ − − − ⟩, ▧ ≤ Σ▢
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ↑ ²ⁿᵈ↓ ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after ⟨⇌⟩
{p3, p2, p0} = ? + {0,1,2}

#125034_v2.10