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2025-12-30 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
3rd|2nd → 3
Jump(2,4) = 1
⟦1,5⟧ ∋ 0,2

⛔Avoid
⟨ ⁵ᵗʰa   ³ʳᵈb       ⟩, a > b
0th → 0|2|5

#125034_v2.11

2025-12-30 Q1(m=6)

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

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ a ⋯ 1 ⋯⟩, a = 0|2|3
4th → 2
max {p5, p2, p0} = 5
⟨? ⋯ 3 ⋯ (?+4) ⋯⟩
6th|3rd|1st|0th → 4

⛔Avoid
⟨⋯ 6 ⋯ a ⋯⟩, a = 0|3
min ⊢2⊣ ≤ 1
2nd → 1|2|6
{p6, p5, p4, p0} = ? + {0,1,2,3}

#125034_v2.11

2025-12-27 WR

2025-12-27 Q1(v=0)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
0 ∾ 3 ∾ 4 ∾ 5
5th → a, 1st → b, |a-b|=3
{p5, p2, p0} = ? + {0,2,3}

⛔Avoid
0 ∾ 2 ∾ 3 ∾ 4

#125034_v2.11

2025-12-26 Q1(v=0)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
1st → 0|2|3
3rd → 2|4
2nd → 0|1|2
5th → 0|3|4

⛔Avoid
5th → 0|3
1st → 0|1|2
0th → 1|2|5

#125034_v2.11

2025-12-26 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
5th|4th|0th → 1
⟦1,4⟧ ∋ 3
{p5, p2, p0} = ? + {0,1,2}

⛔Avoid
⟨⋯ ᵃb ⋯⟩, |a-b|=3
max ⊢1⊣ ≤ 3

#125034_v2.11

2025-12-25 Q1(v=0)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨     ³ʳᵈ↑   ¹ˢᵗ↑   ⟩ after 2×⟨→⟩

⛔Avoid
⟨       ²ⁿᵈ↑ ¹ˢᵗ↑   ⟩ after 3×⟨←⟩
⟨           ⁰ᵗʰ↓ ⟩ after 2×⟨→⟩
⟨           ⁰ᵗʰ↑ ⟩ after 3×⟨←⟩
⟨ ⁵ᵗʰ↑           ⟩ after 3×⟨←⟩

#125034_v2.11

2025-12-25 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
{p5, p1, p0} = ? + {0,2,3}
max ⊢2⊣ ≤ 4
⟨⋯ ᵃb ⋯⟩, |a-b|=4

⛔Avoid
min {p5, p4, p1} = 1
Sim⟨ ⁵ᵗʰ5 ⁴ᵗʰ2 ³ʳᵈ4 ²ⁿᵈ3 ¹ˢᵗ0 ⁰ᵗʰ1 ⟩ ≥ 1
5th|4th|2nd|0th → 4

#125034_v2.11

2025-12-23 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
min {p5, p1, p0} = 1
{p5, p4, p1} = ? + {0,1,2}
{p5, p4, p2} = ? + {0,1,2}

⛔Avoid
{p4, p2, p1} = ? + {0,2,3}
⟨⋯ 2 ⋯ 5 ⋯⟩

#125034_v2.11

2025-12-23 Q1(m=6)

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

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ 1 ⋯ ? 6 ⋯ (?−2)⟩ (?≠6)
median {p6, p4, p0} = 3

⛔Avoid
5th|3rd|2nd|1st → 6
⟨ − − − ▧ − ▢ ▢ ⟩, ▧ ≤ Σ▢

#125034_v2.11

2025-12-21 Q1(v=1)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨ ⁵ᵗʰb ⁴ᵗʰc       ⁰ᵗʰa ⟩, a > b > c
Jump(0,5) = 1
⟨   ⁴ᵗʰc ³ʳᵈb ²ⁿᵈa     ⟩, a > b > c
⟨ ⁵ᵗʰa       ¹ˢᵗb   ⟩, a > b

⛔Avoid
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after 5−⟨⇌⟩

#125034_v2.11

2025-12-21 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
min ⊢5⊣ = 2
2nd → 3
⟨? ⋯ 4 (?+1) ⋯ 2 ⋯⟩ (?≠4,3)

⛔Avoid
⟨ − ▧ ▧ − − ▢ ⟩, Σ▧ ≤ ▢

#125034_v2.11

2025-12-19 Q1(m=6)

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

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ 2 ⋯ ? ⋯ 0 (?+1)⟩ (?≠0)
median {p5, p1, p0} = 4
⟨⋯ Perm(1,6) ⋯⟩
6th → a, 3rd → b, ab=3+6n

#125034_v2.11

2025-12-19 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
4th → 0|5

⛔Avoid
⟨ − ▧ ▧ ▧ ▢ ▢ ⟩, Σ▧ ≥ Σ▢
4th|3rd|2nd|0th → 3
5th → 0|3|4
4th → a, 2nd → b, a+b=1
5th|4th|2nd|0th → 4

#125034_v2.11

2025-12-18 Q1(v=1)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ 5 ⋯ ? 1 ⋯ (?−1)⟩ (?≠1,2)
⟨? ⋯ 2 ⋯ (?−2) ⋯⟩ (?≠2,4)
⟨? ⋯ 0 ⋯ (?−1) ⋯⟩ (?≠1)
⟨⋯ ? ⋯ 2 ⋯ (?+1)⟩ (?≠2,1)

#125034_v2.11

2025-12-18 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
5th → 2|5
0th → 4
{p5, p4, p1} = ? + {0,1,2}

⛔Avoid
⟨ ⁵ᵗʰa   ³ʳᵈb       ⟩, min⟦a,b⟧ = 0
Jump(3,5) = 0

#125034_v2.11

2025-12-16 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨   ⁴ᵗʰa     ¹ˢᵗb   ⟩, min⟦a,b⟧ = 1
0 ∾ 3 ∾ 4 ∾ 5
⟨ − − ▧ − ▢ ▢ ⟩, ▧ ≥ Σ▢

⛔Avoid
⟨     ³ʳᵈa ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 425

#125034_v2.11

2025-12-16 Q1(m=6,v=0)

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

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
{p3, p1, p0} = ? + {0,2,3}
{p3, p2, p0} = ? + {0,3,4}
{p6, p5, p4, p0} = ? + {0,1,3,4}

⛔Avoid
{p6, p5, p3, p1} = ? + {0,1,3,4}
{p5, p4, p3, p0} = ? + {0,1,2,3}

#125034_v2.11

2025-12-14 Q1(m=6,v=1)

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

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ a ⋯ 5 ⋯⟩, a = 0|1|2
⟦5,6⟧ ∋ 1,2
Jump(0,2) = 1
⟦3,4⟧ ∋ 1,5,6
⟦3,5⟧ ∋ 0,2,6

⛔Avoid
⟦5,6⟧ ∋ 0,1,2

#125034_v2.11

2025-12-14 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ 2 ⋯ 1 ⋯ 5 ⋯⟩
max ⊢2⊣ = 2
{p5, p4, p1} = ? + {0,2,3}
min {p5, p4, p2} = 0

⛔Avoid
⟨? ⋯ 0 ⋯ (?−1) ⋯⟩ (?≠1)
⟨ ⁵ᵗʰc     ²ⁿᵈb   ⁰ᵗʰa ⟩, a > b > c

#125034_v2.11

2025-12-12 Q1(v=1)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

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

⛔Avoid
⟨⋯ ᵃb ⋯⟩, |a-b|=0

#125034_v2.11

2025-12-12 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ ᵃb ⋯⟩, |a-b|=4
median {p5, p3, p1} = 4
Jump(0,1) = 1
⟨ ▧ ▧ ▢ ▢ − − ⟩, Σ▧ = Σ▢

⛔Avoid
⟨⋯ Perm(0,5) ⋯⟩

#125034_v2.11

2025-12-11 Q1(m=6)

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

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨ ⁶ᵗʰa   ⁴ᵗʰb         ⟩, min⟦a,b⟧ = 1
⟨⋯ Perm(1,5,6) ⋯⟩
Jump(0,2) ≥ 2
⟨? ⋯ 4 (?+2) ⋯ 0 ⋯⟩ (?≠4,2)

⛔Avoid
max {p6, p5, p0} = 5

#125034_v2.11

2025-12-11 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ ᵃb ⋯⟩, |a-b|=3
{p4, p2, p1} = ? + {0,2,3}
2nd → a, 0th → b, ab=4

⛔Avoid
3rd|2nd|1st → 2

#125034_v2.11

2025-12-09 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
3rd|1st|0th → 1
3rd → a, 0th → b, |a-b|=1
⟨? ⋯ 5 (?−1) ⋯ 4 ⋯⟩ (?≠5)
5th → a, 0th → b, |a-b|=1

#125034_v2.11

2025-12-09 Q1(v=1)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨⋯ Perm(3,4) ⋯⟩
⟨⋯ Perm(0,3) ⋯⟩
⟨⋯ Perm(1,2,4) ⋯⟩
⟨⋯ Perm(0,3,5) ⋯⟩

⛔Avoid
⟨⋯ Perm(2,3,4) ⋯⟩
⟨Perm(0,3,5) Perm(1,2,4)⟩

#125034_v2.11

2025-12-07 Q1(v=0)


2025-12-07 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, min⟦a,b⟧ = 0
5th → a, 2nd → b, |a-b|=3
{p5, p4, p0} = ? + {0,1,3}

⛔Avoid
max {p4, p3, p1} = 5
1st → 3|4

#125034_v2.11

2025-12-05 Q1(v=0)

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
Jump(0,5) = 3
Jump(2,3) = 1
Jump(1,2) = 3

⛔Avoid
Jump(3,5) = 0
Jump(0,1) = 2
⟨Perm(0,1,3) Perm(2,4,5)⟩

#125034_v2.11

2025-12-05 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨? 5 ⋯ (?−2) ⋯ 0 ⋯⟩ (?≠5)
⟨ ▧ ▧ ▢ ▢ − − ⟩, Σ▧ = Σ▢
2nd|0th → 1

⛔Avoid
{p5, p3, p0} = ? + {0,1,2}

#125034_v2.11

2025-12-04 Q1(m=6)

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

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 31
6th → a, 0th → b, a+b=1
min ⊢6⊣ = 3
⟨     ⁴ᵗʰa       ⁰ᵗʰb ⟩, min⟦a,b⟧ = 0
3rd → 0|1|4|5

⛔Avoid
⟨⋯ 2 ⋯ 5 ⋯⟩

#125034_v2.11

2025-12-04 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

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

⛔Avoid
⟨   ⁴ᵗʰa ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 305
2nd → 1|4|5

#125034_v2.11

2025-12-02 WR

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

⟨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
Jump(1,2) = 1
2nd → a, 1st → b, |a-b|=4
⟨⋯ 1 ⋯ 5 ⋯ 4 ⋯⟩

⛔Avoid
4th|2nd|1st|0th → 2
⟨ ⁵ᵗʰc   ³ʳᵈb   ¹ˢᵗa   ⟩, a > b > c

#125034_v2.11

2025-12-02 Q1(m=6)

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

⟨ ⁶ᵗʰ▨ ⁵ᵗʰ▨ ⁴ᵗʰ▨ ³ʳᵈ▨ ²ⁿᵈ▨ ¹ˢᵗ▨ ⁰ᵗʰ▨ ⟩

✅Match
Jump(2,6) = 1
⟨⋯ 1 ⋯ 3 ⋯⟩
3rd → a, 1st → b, ab=24

⛔Avoid
⟨⋯ 5 ⋯ a ⋯⟩, a = 2|6
6th|4th|3rd|2nd|1st → 0

#125034_v2.11