2024-03-31 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|1st → 5

⟨⋯ ? ⋯ 3 ⋯ (?−1)⟩ (?≠3,4)

max ⊢3⊣ = 4

6th → a, 2nd → b, a+b=5+6n

⟨     ⁴ᵗʰa     ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c

⛔Avoid

6th|5th|2nd|1st → 6

⟨⋯ ? ⋯ 6 ⋯ (?−4)⟩ (?≠6)

⟨ ⁶ᵗʰa ⁵ᵗʰb   ³ʳᵈc       ⟩, a > b > c

#125034_v2.4

2024-03-31 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? ⋯ 3 ⋯ (?+4) ⋯⟩

⟨⋯ Perm(0,3,5) ⋯⟩

⛔Avoid

⟨⋯ Perm(0,5) ⋯⟩

3 ∾ 4

4th → a, 1st → b, |a-b|=1

2nd → a, 1st → b, |a-b|=3

#125034_v2.4

2024-03-29 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 2 ⋯ ? 4 ⋯ (?+1)⟩ (?≠4,3)

⟨         ²ⁿᵈa ¹ˢᵗb   ⟩, (ab)₁₀ ≥ 56

5th → 2

⛔Avoid

⟨⋯ ? ⋯ 5 ⋯ (?+3)⟩ (?≠2)

6th|5th|3rd|1st|0th → 4

4th → a, 1st → b, |a-b|=4

#125034_v2.4

2024-03-29 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁵ᵗʰb   ³ʳᵈa   ¹ˢᵗc   ⟩, a > b > c

⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, min⟦a,b⟧ = 2

⛔Avoid

4th|1st → 2

min ⊢5⊣ ≥ 1

⟨? 3 ⋯ (?−1) ⋯ 0 ⋯⟩ (?≠3,4)

⟨⋯ Perm(2,3) ⋯⟩

#125034_v2.4

2024-03-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁶ᵗʰa       ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 314

⟨     ⁴ᵗʰa     ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 235

min ⊢4⊣ ≥ 2

3rd → a, 0th → b, |a-b|=3

⟨⋯ ? ⋯ 5 ⋯ (?+3)⟩ (?≠2)

⛔Avoid

⟨⋯ 5 ⋯ 6 ⋯⟩

⟨       ³ʳᵈ↑ ²ⁿᵈ↑     ⟩ after 2×⟨→⟩

⟨⋯ Perm(3,4,5) ⋯⟩

⟨⋯ Perm(1,6) ⋯⟩

⟦2,6⟧ ∋ 0,1,5

#125034_v2.4

2024-03-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → 5

⟨   ⁴ᵗʰa   ²ⁿᵈb     ⟩, min⟦a,b⟧ = 0

⟨⋯ 1 ⋯ 3 ⋯⟩

⟨⋯ 2 ⋯ 4 ⋯ 1 ⋯⟩

⛔Avoid

Jump(4,5) = 2

#125034_v2.4

2024-03-26 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁶ᵗʰa   ⁴ᵗʰb   ²ⁿᵈc     ⟩, a > b > c

1st → a, 0th → b, a+b=1+6n

2nd → a, 0th → b, a+b=3

⟦0,1⟧ ∋ 2,4

⟨       ³ʳᵈ↓       ⟩ after ⟨→⟩

#125034_v2.4

2024-03-26 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(2,3) = 1

5th → 0|2|3

4th|3rd|2nd|1st → 2

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

⛔Avoid

2 ∾ 4 ∾ 5

⟨ ⁵ᵗʰc ⁴ᵗʰa     ¹ˢᵗb   ⟩, a > b > c

#125034_v2.4

2024-03-24 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

Jump(1,6) ≥ 3

4th → a, 3rd → b, ab=30

⟨? ⋯ 0 ⋯ (?+4) ⋯⟩ (?≠0)

⛔Avoid

⟦2,3⟧ ∋ 0,4

#125034_v2.4

2024-03-24 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ³ʳᵈa ²ⁿᵈc ¹ˢᵗb   ⟩, a > b > c

4th → a, 3rd → b, a+b=7

⛔Avoid

⟨   ⁴ᵗʰa       ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 25

⟨ ⁵ᵗʰa   ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 154

5th → 0|2|3

#125034_v2.4

2024-03-22 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 3 ⋯ ? 0 ⋯ (?+3)⟩ (?≠0)

2nd → a, 1st → b, |a-b|=2

⟨⋯ 4 ⋯ 6 ⋯ 5 ⋯⟩

⛔Avoid

⟨ ⁶ᵗʰa     ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 130

#125034_v2.4

2024-03-22 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

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

5th → a, 2nd → b, ab=1+4n

⛔Avoid

⟨   ⁴ᵗʰa ³ʳᵈb       ⟩, a > b

#125034_v2.4

2024-03-21 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ Perm(1,3,6) ⋯⟩

Sim⟨ ⁶ᵗʰ4 ⁵ᵗʰ5 ⁴ᵗʰ0 ³ʳᵈ1 ²ⁿᵈ2 ¹ˢᵗ3 ⁰ᵗʰ6 ⟩ = 0

⟨⋯ Perm(0,3,6) ⋯⟩

⛔Avoid

Sim⟨ ⁶ᵗʰ2 ⁵ᵗʰ0 ⁴ᵗʰ3 ³ʳᵈ4 ²ⁿᵈ6 ¹ˢᵗ5 ⁰ᵗʰ1 ⟩ ≥ 1

⟨   ⁵ᵗʰa ⁴ᵗʰb     ¹ˢᵗc   ⟩, (abc)₁₀ ≤ 360

0th → 2|5

#125034_v2.4

2024-03-21 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨ ⁵ᵗʰa   ³ʳᵈb   ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 154

⟨? ⋯ 5 (?−1) ⋯ 3 ⋯⟩ (?≠5)

⟦1,2⟧ ∋ 0

⟨ ⁵ᵗʰb ⁴ᵗʰa   ²ⁿᵈc     ⟩, a > b > c

⟨       ²ⁿᵈ↑   ⁰ᵗʰ↓ ⟩ after 2×⟨→⟩

#125034_v2.4

2024-03-19 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, max⟦a,b⟧ = 6

⟨   ⁵ᵗʰc   ³ʳᵈb     ⁰ᵗʰa ⟩, a > b > c

⟨⋯ ? ⋯ 5 ⋯ (?+2)⟩ (?≠3)

⛔Avoid

6th|5th|4th|2nd|1st → 4

⟨ ⁶ᵗʰa   ⁴ᵗʰb   ²ⁿᵈc     ⟩, (abc)₁₀ ≤ 362

5th → a, 0th → b, |a-b|=3

#125034_v2.4

2024-03-19 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ a ⋯ 1 ⋯⟩, a = 0|4

3rd → a, 0th → b, |a-b|=1

⟨⋯ Perm(0,3,5) ⋯⟩

⛔Avoid

min ⊢2⊣ ≥ 1

⟨⋯ ? ⋯ 4 ⋯ (?−1)⟩ (?≠4,5)

3rd|2nd|0th → 3

#125034_v2.4

2024-03-17 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, a+b=0+5n

6th → 1|4|5

2nd → a, 1st → b, |a-b|=3

⟨⋯ Perm(0,1,3) ⋯⟩

⛔Avoid

⟦4,6⟧ ∋ 3

3rd → 0|2|4|6

⟨       ³ʳᵈa   ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 123

#125034_v2.4

2024-03-17 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨   ⁴ᵗʰa ³ʳᵈb       ⟩, (ab)₁₀ ≥ 45

2 ∾ 3 ∾ 5

min ⊢4⊣ ≥ 2

Jump(1,3) = 0

⟨⋯ Perm(3,5) ⋯⟩

#125034_v2.4

2024-03-15 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

3rd → 2

⟨? ⋯ 3 ⋯ (?+3) ⋯⟩ (?≠3,0)

⛔Avoid

⟨⋯ a ⋯ 0 ⋯⟩, a = 3|4|6

Sim⟨ ⁶ᵗʰ6 ⁵ᵗʰ3 ⁴ᵗʰ0 ³ʳᵈ1 ²ⁿᵈ4 ¹ˢᵗ5 ⁰ᵗʰ2 ⟩ = 0

max ⊢4⊣ ≥ 5

----- Information -----

🔲 「3rd → 2」

720 permutations match this pattern.

Examples: ⟨0362415⟩, ⟨3412650⟩, ⟨0562341⟩.

🔲 「⟨? ⋯ 3 ⋯ (?+3) ⋯⟩ (?≠3,0)」

?, 3, (?+3) are three different numbers.

720 permutations match this pattern.

Examples: ⟨2340615⟩, ⟨2305164⟩, ⟨2163540⟩.

🔳 「⟨⋯ a ⋯ 0 ⋯⟩, a = 3|4|6」

3780 permutations match this pattern.

Examples: ⟨3612054⟩, ⟨3026415⟩, ⟨3520146⟩.

🔳 「Sim⟨ ⁶ᵗʰ6 ⁵ᵗʰ3 ⁴ᵗʰ0 ³ʳᵈ1 ²ⁿᵈ4 ¹ˢᵗ5 ⁰ᵗʰ2 ⟩ = 0」

⟨pᵢ⟩ matches this pattern if and only if #{i: pᵢ = qᵢ} = 0, where ⟨qᵢ⟩ ∶= ⟨6301452⟩.

1854 permutations match this pattern.

Examples: ⟨3164025⟩, ⟨3510264⟩, ⟨3245106⟩.

🔳 「max ⊢4⊣ ≥ 5」

The greatest element of ⊢4⊣ is ≥ 5. Also written as B(x=4, r=1), ⊢4⊣ denotes the neighborhood of 4 with radius one.

2640 permutations match this pattern.

Examples: ⟨3105246⟩, ⟨6541203⟩, ⟨3256401⟩.

#125034_v2.4

2024-03-15 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ³ʳᵈa ²ⁿᵈc ¹ˢᵗb   ⟩, a > b > c

⟨⋯ 1 ⋯ 5 ⋯⟩

2nd → a, 1st → b, |a-b|=4

⛔Avoid

⟨ ⁵ᵗʰb ⁴ᵗʰc     ¹ˢᵗa   ⟩, a > b > c

⟨? ⋯ 2 ⋯ (?+3) ⋯⟩ (?≠2)

#125034_v2.4

2024-03-14 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦0,2⟧ ∋ 3,4,5

⟨     ⁴ᵗʰb ³ʳᵈc ²ⁿᵈa ¹ˢᵗd   ⟩, a > b > c > d

⛔Avoid

⟨⋯ a ⋯ 3 ⋯⟩, a = 1|4|6

0th → 0|5|6

⟦0,6⟧ ∋ 3

#125034_v2.4

2024-03-14 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨? 4 ⋯ (?+2) ⋯ 0 ⋯⟩ (?≠2)

⟨⋯ Perm(0,2,5) ⋯⟩

Sim⟨ ⁵ᵗʰ0 ⁴ᵗʰ5 ³ʳᵈ2 ²ⁿᵈ3 ¹ˢᵗ4 ⁰ᵗʰ1 ⟩ ≥ 1

⛔Avoid

Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ0 ³ʳᵈ5 ²ⁿᵈ1 ¹ˢᵗ4 ⁰ᵗʰ3 ⟩ = 1

#125034_v2.4

2024-03-12 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

Sim⟨ ⁶ᵗʰ5 ⁵ᵗʰ0 ⁴ᵗʰ6 ³ʳᵈ1 ²ⁿᵈ2 ¹ˢᵗ3 ⁰ᵗʰ4 ⟩ ≥ 2

⟨ ⁶ᵗʰc       ²ⁿᵈd ¹ˢᵗb ⁰ᵗʰa ⟩, a > b > c > d

3rd → a, 1st → b, |a-b|=1

⛔Avoid

6th|4th|3rd|1st → 1

⟨       ³ʳᵈ↓   ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after 2×⟨→⟩

#125034_v2.4

2024-03-12 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨   ⁴ᵗʰa     ¹ˢᵗb   ⟩, max⟦a,b⟧ = 5

5th|2nd|1st → 5

⟨ ⁵ᵗʰa ⁴ᵗʰb       ⁰ᵗʰc ⟩, a > b > c

⛔Avoid

⟨     ³ʳᵈa ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 345

4th → a, 2nd → b, |a-b|=2

⟦0,2⟧ ∋ 4,5

⟨⋯ 1 ⋯ 0 ⋯⟩

#125034_v2.4

2024-03-11 M4

P2 (Ryan)

✅Match

5th|1st → 2

5th → a, 2nd → b, |a-b|=5

⟨ ⁵ᵗʰa     ²ⁿᵈb     ⟩, (ab)₁₀ ≤ 32

⟨     ³ʳᵈa     ⁰ᵗʰb ⟩, a > b

⟨⋯ ? ⋯ 3 ⋯ (?+1)⟩ (?≠3,2)

⛔Avoid

min ⊢5⊣ = 1

max ⊢3⊣ = 3

⟨⋯ ? ⋯ 0 ⋯ (?−1)⟩ (?≠1)

⟨043521⟩

Last HP: 0

Ryan gave you the same finish!

#125034_v2.4

2024-03-11 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦5,6⟧ ∋ 0,1,2,4

⟨ ⁶ᵗʰa ⁵ᵗʰb     ²ⁿᵈc ¹ˢᵗd   ⟩, a > b > c > d

min ⊢5⊣ ≤ 1

Jump(1,2) = 1

⛔Avoid

2nd → 2

⟨? ⋯ 4 ⋯ (?−3) ⋯⟩ (?≠4)

----- Information -----

🔲 「⟦5,6⟧ ∋ 0,1,2,4」

The closed interval given by 5 and 6 contains 0, 1, 2, 4.

336 permutations match this pattern.

Examples: ⟨5231046⟩, ⟨6213405⟩, ⟨6213045⟩.

🔲 「⟨ ⁶ᵗʰa ⁵ᵗʰb     ²ⁿᵈc ¹ˢᵗd   ⟩, a > b > c > d」

210 permutations match this pattern.

Examples: ⟨6501432⟩, ⟨6502431⟩, ⟨6503421⟩.

🔲 「min ⊢5⊣ ≤ 1」

The least element of ⊢5⊣ is ≤ 1. Also written as B(x=5, r=1), ⊢5⊣ denotes the neighborhood of 5 with radius one.

2640 permutations match this pattern.

Examples: ⟨4023615⟩, ⟨0651432⟩, ⟨6134052⟩.

🔲 「Jump(1,2) = 1」

There is 1 number between 1 and 2.

1200 permutations match this pattern.

Examples: ⟨4560231⟩, ⟨1326405⟩, ⟨5314206⟩.

🔳 「2nd → 2」

720 permutations match this pattern.

Examples: ⟨4561230⟩, ⟨6451203⟩, ⟨3104265⟩.

🔳 「⟨? ⋯ 4 ⋯ (?−3) ⋯⟩ (?≠4)」

?, 4, (?−3) are three different numbers.

1080 permutations match this pattern.

Examples: ⟨3461025⟩, ⟨5143602⟩, ⟨3216540⟩.

#125034_v2.4

2024-03-10 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 5 ⋯ 6 ⋯⟩

5th → a, 0th → b, ab=0

⟨ ⁶ᵗʰc ⁵ᵗʰa ⁴ᵗʰb   ²ⁿᵈd     ⟩, a > b > c > d

⟨⋯ Perm(2,4,6) ⋯⟩

#125034_v2.3

2024-03-10 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨     ³ʳᵈa ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 152

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

⟨⋯ 4 ⋯ ? 1 ⋯ (?+2)⟩ (?≠1)

⛔Avoid

3rd → a, 0th → b, |a-b|=4

#125034_v2.3

2024-03-08 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

6th → a, 0th → b, ab=3+5n

⟨⋯ ? ⋯ 5 ⋯ (?−1)⟩ (?≠5,6)

3rd → a, 2nd → b, |a-b|=4

⛔Avoid

4th → 3|4|5|6

6th|2nd|1st → 1

⟨   ⁵ᵗʰa   ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 163

Jump(3,4) = 4

0th → 0|1|2|5

4th → a, 2nd → b, a+b=1

#125034_v2.3

2024-03-08 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → a, 0th → b, ab=2

⛔Avoid

⟨⋯ 4 ⋯ a ⋯⟩, a = 0|1|3

Jump(1,5) ≥ 2

⟨     ³ʳᵈa     ⁰ᵗʰb ⟩, a > b

#125034_v2.3

2024-03-07 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

5th → 0|4|5

⟨ ⁶ᵗʰ= ⁵ᵗʰ↑ ⁴ᵗʰ↓ ³ʳᵈ↓ ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↑ ⟩ after 6−⟨⋯⟩

2nd → a, 1st → b, ab=4+6n

Jump(0,4) = 1

#125034_v2.3

2024-03-07 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦0,5⟧ ∋ 2,4

⟨⋯ a ⋯ 5 ⋯⟩, a = 1|4

⟨⋯ 3 ⋯ ? ⋯ 2 (?−1)⟩ (?≠2,3)

#125034_v2.3

2024-03-05 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟦1,3⟧ ∋ 0,2,4,6

⟨? ⋯ 5 (?+3) ⋯ 6 ⋯⟩ (?≠2)

⟨⋯ ? ⋯ 5 ⋯ (?+3)⟩ (?≠2)

⛔Avoid

⟨   ⁵ᵗʰc     ²ⁿᵈa   ⁰ᵗʰb ⟩, a > b > c

#125034_v2.3

2024-03-05 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ4 ³ʳᵈ1 ²ⁿᵈ3 ¹ˢᵗ5 ⁰ᵗʰ0 ⟩ = 0

⟨⋯ 5 ⋯ ? ⋯ 2 (?−3)⟩ (?≠5)

⟨⋯ 0 ⋯ ? 4 ⋯ (?−4)⟩ (?≠4)

⛔Avoid

⟨? ⋯ 0 ⋯ (?+1) ⋯⟩ (?≠0)

#125034_v2.3

2024-03-03 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ Perm(1,3,6) ⋯⟩

5th → 1|2|4|5

⟨⋯ 3 ⋯ a ⋯⟩, a = 2|5

1st → 1

⟨ ⁶ᵗʰa         ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c

⛔Avoid

5th → a, 3rd → b, |a-b|=1

6th|4th|2nd|1st|0th → 6

#125034_v2.3

2024-03-03 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ1 ³ʳᵈ5 ²ⁿᵈ4 ¹ˢᵗ3 ⁰ᵗʰ0 ⟩ ≤ 1

4th → 0|3|5

3rd → a, 1st → b, |a-b|=4

⟨⋯ 0 ⋯ 5 ⋯ 3 ⋯⟩

⛔Avoid

2nd|1st → 1

#125034_v2.3

2024-03-01 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match

⟨⋯ 0 ⋯ 3 ⋯⟩

Jump(1,5) = 4

⟨     ⁴ᵗʰa     ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 13

2nd → a, 0th → b, ab=4+5n

⛔Avoid

4th|3rd|2nd → 6

3rd → a, 2nd → b, a+b=3+4n

#125034_v2.3

2024-03-01 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match

2nd → a, 0th → b, ab=0

⟨⋯ 5 ⋯ 1 ⋯ 0 ⋯⟩

⛔Avoid

1st → 2|3

⟨⋯ Perm(2,3,5) ⋯⟩

⟨? ⋯ 4 ⋯ (?−1) ⋯⟩ (?≠4,5)

⟨     ³ʳᵈa   ¹ˢᵗb   ⟩, (ab)₁₀ ≤ 34

⟨⋯ a ⋯ 3 ⋯⟩, a = 0|1|5

#125034_v2.3