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2024-04-30 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁶ᵗʰb ⁵ᵗʰa ⁴ᵗʰc         ⟩, a > b > c
min ⊢4⊣ = 1
2nd → a, 1st → b, ab=2
⟨   ⁵ᵗʰb ⁴ᵗʰd ³ʳᵈa ²ⁿᵈc     ⟩, a > b > c > d

#125034_v2.4

2024-04-30 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
2nd → a, 1st → b, |a-b|=3
⟨ ⁵ᵗʰb ⁴ᵗʰc       ⁰ᵗʰa ⟩, a > b > c

⛔Avoid
⟨⋯ a ⋯ 0 ⋯⟩, a = 1|3|4|5
⟨⋯ Perm(0,2,5) ⋯⟩
5th → a, 1st → b, a+b=3

#125034_v2.4

2024-04-28 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, |a-b|=4
3rd → 0|3|5|6
⟦3,5⟧ ∋ 0,2,6
6th → a, 3rd → b, a+b=5+6n
⟨⋯ Perm(2,4) ⋯⟩
6th → a, 4th → b, ab=0+6n

⛔Avoid
⟨? ⋯ 0 (?−3) ⋯ 2 ⋯⟩ (?≠3)

#125034_v2.4

2024-04-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

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

⛔Avoid
⟨⋯ 5 ⋯ a ⋯⟩, a = 0|1
2 ∾ 5
⟨     ³ʳᵈb ²ⁿᵈc ¹ˢᵗa   ⟩, a > b > c
⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 34

#125034_v2.4

2024-04-26 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

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

#125034_v2.4

2024-04-26 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? 5 ⋯ (?−2) ⋯ 2 ⋯⟩ (?≠5)
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 34
⟨⋯ 1 ⋯ 2 ⋯⟩

⛔Avoid
⟨⋯ 1 ⋯ ? ⋯ 2 (?−1)⟩ (?≠2,3)
⟨     ³ʳᵈa   ¹ˢᵗb   ⟩, min⟦a,b⟧ = 0

#125034_v2.4

2024-04-25 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 6 ⋯ 4 ⋯ 3 ⋯⟩
4th → a, 3rd → b, ab=8
⟨   ⁵ᵗʰa   ³ʳᵈc   ¹ˢᵗb   ⟩, a > b > c
Jump(0,5) = 2

#125034_v2.4

2024-04-25 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

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

⛔Avoid
⟦1,2⟧ ∋ 4
⟨? ⋯ 1 (?+5) ⋯ 4 ⋯⟩

#125034_v2.4

2024-04-23 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(0,1,4) ⋯⟩
⟨⋯ 2 ⋯ 5 ⋯ 1 ⋯⟩
6th → a, 5th → b, a+b=5
⟨⋯ Perm(1,6) ⋯⟩

⛔Avoid
⟨⋯ 4 ⋯ a ⋯⟩, a = 0|5
6th → a, 0th → b, a+b=8
2nd → 1

#125034_v2.4

2024-04-23 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

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

⛔Avoid
max ⊢1⊣ = 3
⟨⋯ 3 ⋯ ? ⋯ 1 (?−2)⟩ (?≠3)
4th → a, 2nd → b, |a-b|=2
⟨? 3 ⋯ (?−1) ⋯ 0 ⋯⟩ (?≠3,4)

#125034_v2.4

2024-04-21 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
3rd → 3|5
4th → a, 2nd → b, ab=6
⟨ ⁶ᵗʰb       ²ⁿᵈd ¹ˢᵗa ⁰ᵗʰc ⟩, a > b > c > d

⛔Avoid
⟨⋯ a ⋯ 0 ⋯⟩, a = 1|2|3|5|6

#125034_v2.4

2024-04-21 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁵ᵗʰb     ²ⁿᵈa   ⁰ᵗʰc ⟩, a > b > c

⛔Avoid
⟨   ⁴ᵗʰa     ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 235
⟨ ⁵ᵗʰa   ³ʳᵈb ²ⁿᵈc     ⟩, (abc)₁₀ ≥ 214
⟦0,4⟧ ∋ 5

#125034_v2.4

2024-04-19 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
6th → a, 1st → b, |a-b|=2
⟨⋯ 6 ⋯ 4 ⋯ 3 ⋯ 0 ⋯⟩
⟨⋯ 2 ⋯ ? 0 ⋯ (?+4)⟩ (?≠0)

#125034_v2.4

2024-04-19 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰb ³ʳᵈc     ⁰ᵗʰa ⟩, a > b > c
5th → a, 0th → b, |a-b|=4
4th → a, 2nd → b, a+b=0+4n

⛔Avoid
⟨ ⁵ᵗʰ↑ ⁴ᵗʰ↓ ³ʳᵈ↑ ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after ⟨⇌⟩
1st → 0|1|5
⟨⋯ Perm(0,2,4) ⋯⟩

#125034_v2.4

2024-04-17 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 0 ⋯ ? ⋯ 3 (?+4)⟩
2nd → 1
⟨⋯ 4 ⋯ 0 ⋯⟩

⛔Avoid
⟨⋯ 2 ⋯ 4 ⋯⟩
6th → 1|3|4|6

#125034_v2.4

2024-04-17 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰa ³ʳᵈb       ⟩, min⟦a,b⟧ = 1
⟨   ⁴ᵗʰa     ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5
⟨? ⋯ 1 (?−3) ⋯ 4 ⋯⟩ (?≠4)

⛔Avoid
5th → a, 0th → b, ab=0+4n

#125034_v2.4

2024-04-16 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=4+6n
⟨⋯ Perm(0,3,5) ⋯⟩
⟨     ⁴ᵗʰc ³ʳᵈa ²ⁿᵈb     ⟩, a > b > c
Jump(2,5) ≥ 3

#125034_v2.4

2024-04-16 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ1 ³ʳᵈ0 ²ⁿᵈ5 ¹ˢᵗ2 ⁰ᵗʰ3 ⟩ ≥ 2
⟨Perm(1,2,3) Perm(0,4,5)⟩
⟨ ⁵ᵗʰa   ³ʳᵈb       ⟩, a > b

⛔Avoid
⟦0,1⟧ ∋ 4,5

#125034_v2.4

2024-04-14 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → 1|4|5|6
Sim⟨ ⁶ᵗʰ4 ⁵ᵗʰ1 ⁴ᵗʰ3 ³ʳᵈ0 ²ⁿᵈ6 ¹ˢᵗ2 ⁰ᵗʰ5 ⟩ = 1
max ⊢0⊣ = 3
⟨ ⁶ᵗʰa     ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 430

⛔Avoid
6th → 0|1|3|5|6
min ⊢6⊣ = 1
⟨   ⁵ᵗʰa ⁴ᵗʰb ³ʳᵈc       ⟩, a > b > c
Sim⟨ ⁶ᵗʰ1 ⁵ᵗʰ4 ⁴ᵗʰ2 ³ʳᵈ3 ²ⁿᵈ0 ¹ˢᵗ6 ⁰ᵗʰ5 ⟩ = 0
⟨? ⋯ 4 (?+4) ⋯ 1 ⋯⟩ (?≠0)
2nd → a, 0th → b, |a-b|=6

#125034_v2.4

2024-04-14 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 5 ⋯ 0 ⋯ 2 ⋯⟩
⟨⋯ Perm(2,3,4) ⋯⟩
⟨⋯ ? ⋯ 0 ⋯ (?−1)⟩ (?≠1)
min ⊢2⊣ ≥ 1

⛔Avoid
2nd → a, 0th → b, a+b=2+5n

#125034_v2.4

2024-04-12 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 2 ⋯ ? ⋯ 6 (?+3)⟩ (?≠3)
3rd → a, 0th → b, ab=0
⟨? ⋯ 3 (?+3) ⋯ 4 ⋯⟩ (?≠3,0)

⛔Avoid
⟨ ⁶ᵗʰa           ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 15

#125034_v2.4

2024-04-12 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, (ab)₁₀ ≥ 12
⟨⋯ 3 ⋯ a ⋯⟩, a = 1|2
⟨⋯ a ⋯ 4 ⋯⟩, a = 0|2|3|5

⛔Avoid
⟨⋯ Perm(2,4) ⋯⟩
4th → a, 1st → b, |a-b|=5
5th → a, 3rd → b, a+b=0+4n
5th → a, 1st → b, a+b=0+4n
⟨       ²ⁿᵈa ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 342
5th|4th|2nd|0th → 5
Sim⟨ ⁵ᵗʰ5 ⁴ᵗʰ2 ³ʳᵈ1 ²ⁿᵈ3 ¹ˢᵗ4 ⁰ᵗʰ0 ⟩ = 0
⟨? ⋯ 3 (?−1) ⋯ 0 ⋯⟩ (?≠3,4)

#125034_v2.4

2024-04-11 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁶ᵗʰ↑ ⁵ᵗʰ↑ ⁴ᵗʰ↓ ³ʳᵈ= ²ⁿᵈ↑ ¹ˢᵗ↓ ⁰ᵗʰ↓ ⟩ after ⟨⇌⟩
3rd → 1
⟨⋯ 6 ⋯ a ⋯⟩, a = 1|2|3|4
6th → a, 1st → b, |a-b|=2

⛔Avoid
min ⊢5⊣ ≤ 2
5th → a, 3rd → b, ab=3

#125034_v2.4

2024-04-11 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
2nd → a, 1st → b, a+b=4+5n
⟨⋯ 0 ⋯ 2 ⋯ 3 ⋯⟩
⟨       ²ⁿᵈa ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 15
4th → a, 0th → b, a+b=2+5n

#125034_v2.4

2024-04-09 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? 6 ⋯ (?−2) ⋯ 1 ⋯⟩ (?≠6)
⟨ ⁶ᵗʰb ⁵ᵗʰa       ¹ˢᵗc   ⟩, a > b > c
⟨Perm(1,3,5,6) Perm(0,2,4)⟩
2nd → 1|2|4

⛔Avoid
max ⊢1⊣ ≤ 4
3rd → 4|5|6
3rd → a, 0th → b, ab=2+4n
⟨⋯ 3 ⋯ ? ⋯ 2 (?−6)⟩

#125034_v2.4

2024-04-09 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨   ⁴ᵗʰa     ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c
1st → a, 0th → b, ab=0

⛔Avoid
min ⊢4⊣ ≤ 2
⟨   ⁴ᵗʰa ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 320

#125034_v2.4

2024-04-07 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨     ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗc   ⟩, a > b > c
3rd → a, 2nd → b, a+b=3+6n
⟨⋯ 3 ⋯ 4 ⋯ 5 ⋯ 6 ⋯⟩
⟨       ³ʳᵈb ²ⁿᵈc   ⁰ᵗʰa ⟩, a > b > c

#125034_v2.4

2024-04-07 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁵ᵗʰa ⁴ᵗʰb         ⟩, min⟦a,b⟧ = 2
3rd → a, 0th → b, |a-b|=4
max ⊢0⊣ = 4
max ⊢2⊣ = 3

⛔Avoid
0th → 5

#125034_v2.4

2024-04-05 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨       ³ʳᵈ↑ ²ⁿᵈ↓     ⟩ after 3×⟨←⟩
⟨⋯ 6 ⋯ 2 ⋯ 0 ⋯⟩
⟨⋯ 1 ⋯ ? 4 ⋯ (?+3)⟩ (?≠1)

⛔Avoid
⟨       ³ʳᵈb   ¹ˢᵗc ⁰ᵗʰa ⟩, a > b > c

#125034_v2.4

2024-04-05 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

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

⛔Avoid
⟨⋯ 5 ⋯ ? 3 ⋯ (?−3)⟩ (?≠3)

#125034_v2.4

2024-04-04 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
1st → 1
⟨ ⁶ᵗʰc ⁵ᵗʰa         ⁰ᵗʰb ⟩, a > b > c
5th → a, 3rd → b, |a-b|=2
4th → a, 2nd → b, |a-b|=1
⟨     ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗd ⁰ᵗʰc ⟩, a > b > c > d

#125034_v2.4

2024-04-04 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

⛔Avoid
4th|0th → 1
⟨⋯ 5 ⋯ a ⋯⟩, a = 1|2
⟨⋯ a ⋯ 4 ⋯⟩, a = 0|2|3|5
0th → 3|4|5
4th → a, 3rd → b, ab=6
max ⊢2⊣ = 4
5th → a, 2nd → b, a+b=6

#125034_v2.4

2024-04-02 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, ab=2+4n
Jump(2,3) = 1
⟨ ⁶ᵗʰc       ²ⁿᵈa ¹ˢᵗb   ⟩, a > b > c

⛔Avoid
⟨⋯ 3 ⋯ 0 ⋯⟩
⟨⋯ ? ⋯ 6 ⋯ (?+1)⟩ (?≠5)
min ⊢5⊣ ≥ 2
6th → a, 3rd → b, ab=0+6n

#125034_v2.4

2024-04-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦2,3⟧ ∋ 0,1
⟦4,5⟧ ∋ 0,1,3
⟦1,2⟧ ∋ 0,4

⛔Avoid
⟨       ²ⁿᵈa   ⁰ᵗʰb ⟩, min⟦a,b⟧ = 0

#125034_v2.4