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2023-11-30 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? 3 ⋯ (?+6) ⋯ 2 ⋯⟩
2nd → 6
⟨       ³ʳᵈa ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 532
⟨ ⁶ᵗʰ↑ ⁵ᵗʰ= ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↓ ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after 6−⟨⋯⟩

#125034_v2.2

2023-11-30 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
Sim⟨ ⁵ᵗʰ3 ⁴ᵗʰ4 ³ʳᵈ0 ²ⁿᵈ1 ¹ˢᵗ5 ⁰ᵗʰ2 ⟩ ≥ 2
⟨⋯ Perm(0,2) ⋯⟩
⟨⋯ a ⋯ 3 ⋯⟩, a = 0|1|4|5
⟨⋯ 4 ⋯ 0 ⋯⟩
⟨ ⁵ᵗʰa       ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c

⛔Avoid
5th|3rd|0th → 2

----- Information -----

🔲 「Sim⟨ ⁵ᵗʰ3 ⁴ᵗʰ4 ³ʳᵈ0 ²ⁿᵈ1 ¹ˢᵗ5 ⁰ᵗʰ2 ⟩ ≥ 2」
⟨pᵢ⟩ matches this pattern if and only if #{i: pᵢ = qᵢ} ≥ 2, where ⟨qᵢ⟩ ∶= ⟨340152⟩.
191 permutations match this pattern.
Examples: ⟨150342⟩, ⟨345021⟩, ⟨530124⟩.

🔲 「⟨⋯ Perm(0,2) ⋯⟩」
0,2 are adjacent.
240 permutations match this pattern.
Examples: ⟨302451⟩, ⟨102435⟩, ⟨420531⟩.

🔲 「⟨⋯ a ⋯ 3 ⋯⟩, a = 0|1|4|5」
576 permutations match this pattern.
Examples: ⟨045213⟩, ⟨451302⟩, ⟨023541⟩.

🔲 「⟨⋯ 4 ⋯ 0 ⋯⟩」
360 permutations match this pattern.
Examples: ⟨415230⟩, ⟨143025⟩, ⟨231540⟩.

🔲 「⟨ ⁵ᵗʰa       ¹ˢᵗc ⁰ᵗʰb ⟩, a > b > c」
120 permutations match this pattern.
Examples: ⟨352401⟩, ⟨521403⟩, ⟨530412⟩.

🔳 「5th|3rd|0th → 2」
360 permutations match this pattern.
Examples: ⟨531402⟩, ⟨145032⟩, ⟨510342⟩.


#125034_v2.2

2023-11-28 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
1st → a, 0th → b, |a-b|=4
⟨   ⁵ᵗʰd ⁴ᵗʰa   ²ⁿᵈb   ⁰ᵗʰc ⟩, a > b > c > d
2nd → 0|1|4
6th → a, 1st → b, a+b=2+5n

⛔Avoid
⟦1,3⟧ ∋ 0,5

#125034_v2.2

2023-11-28 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

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

⛔Avoid
⟨   ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 152
⟦0,4⟧ ∋ 1,2

----- Information -----

🔲 「⟦3,5⟧ ∋ 0,2」
The closed interval given by 3 and 5 contains 0, 2.
120 permutations match this pattern.
Examples: ⟨340215⟩, ⟨302514⟩, ⟨132405⟩.

🔲 「4th → a, 1st → b, a+b=5」
144 permutations match this pattern.
Examples: ⟨420135⟩, ⟨251403⟩, ⟨134520⟩.

🔲 「⟨⋯ Perm(2,5) ⋯⟩」
2,5 are adjacent.
240 permutations match this pattern.
Examples: ⟨014325⟩, ⟨025143⟩, ⟨345210⟩.

🔳 「⟨   ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 152」
(abc)₁₀ ∶= 100a + 10b + c.
498 permutations match this pattern.
Examples: ⟨345012⟩, ⟨531024⟩, ⟨520314⟩.

🔳 「⟦0,4⟧ ∋ 1,2」
The closed interval given by 0 and 4 contains 1, 2.
120 permutations match this pattern.
Examples: ⟨052134⟩, ⟨425103⟩, ⟨453120⟩.


#125034_v2.2

2023-11-26 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨       ³ʳᵈa   ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≤ 514
⟨⋯ 5 ⋯ 3 ⋯ 1 ⋯⟩
⟨ ⁶ᵗʰc ⁵ᵗʰa     ²ⁿᵈb     ⟩, a > b > c
⟨⋯ a ⋯ 0 ⋯⟩, a = 2|3|4|6

⛔Avoid
6th|5th|2nd|0th → 6
2 ∾ 4 ∾ 6
⟨⋯ Perm(0,4) ⋯⟩

#125034_v2.2

2023-11-26 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦0,3⟧ ∋ 2
⟨ ⁵ᵗʰb ⁴ᵗʰc       ⁰ᵗʰa ⟩, a > b > c
2nd → a, 1st → b, ab=12

⛔Avoid
⟨? ⋯ 3 (?+3) ⋯ 5 ⋯⟩ (?≠0)

#125034_v2.2

2023-11-24 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
Jump(2,4) ≥ 2
⟨ ⁶ᵗʰ↑ ⁵ᵗʰ↑   ³ʳᵈ↑ ²ⁿᵈ↓     ⟩ after 3×⟨→⟩
⟨   ⁵ᵗʰ↓   ³ʳᵈ↑       ⟩ after ⟨→⟩
⟨⋯ 1 ⋯ 0 ⋯ 6 ⋯ 5 ⋯⟩

⛔Avoid
Sim⟨ ⁶ᵗʰ2 ⁵ᵗʰ5 ⁴ᵗʰ1 ³ʳᵈ0 ²ⁿᵈ6 ¹ˢᵗ4 ⁰ᵗʰ3 ⟩ ≥ 2

#125034_v2.2

2023-11-24 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? 0 ⋯ (?+1) ⋯ 3 ⋯⟩ (?≠0)

⛔Avoid
⟨⋯ ? ⋯ 3 ⋯ (?−1)⟩ (?≠3,4)
5th|3rd|2nd|1st → 1

#125034_v2.2

2023-11-23 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁶ᵗʰd ⁵ᵗʰc ⁴ᵗʰa     ¹ˢᵗb   ⟩, a > b > c > d
⟨   ⁵ᵗʰ↓         ⁰ᵗʰ↑ ⟩ after ⟨→⟩
⟨ ⁶ᵗʰ↑       ²ⁿᵈ↑   ⁰ᵗʰ↑ ⟩ after 3×⟨←⟩
Jump(1,2) = 0
⟨ ⁶ᵗʰc     ³ʳᵈa   ¹ˢᵗb   ⟩, a > b > c

⛔Avoid
3rd → a, 1st → b, |a-b|=2

#125034_v2.2

2023-11-23 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦1,4⟧ ∋ 5

⛔Avoid
Sim⟨ ⁵ᵗʰ4 ⁴ᵗʰ5 ³ʳᵈ2 ²ⁿᵈ0 ¹ˢᵗ1 ⁰ᵗʰ3 ⟩ ≥ 1
⟨   ⁴ᵗʰa       ⁰ᵗʰb ⟩, (ab)₁₀ ≥ 14
⟨⋯ 5 ⋯ 0 ⋯⟩
⟨ ⁵ᵗʰ↑ ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↓ ¹ˢᵗ↓ ⁰ᵗʰ↑ ⟩ after 5−⟨⋯⟩
⟨   ⁴ᵗʰa       ⁰ᵗʰb ⟩, (ab)₁₀ ≤ 10

#125034_v2.2

2023-11-22 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(3,4,5) ⋯⟩
⟦1,4⟧ ∋ 0,3
3rd → a, 0th → b, ab=0
Jump(2,4) = 2

----- Information -----

🔲 「⟨⋯ Perm(3,4,5) ⋯⟩」
3,4,5 are adjacent.
144 permutations match this pattern.
Examples: ⟨345201⟩, ⟨345102⟩, ⟨102453⟩.

🔲 「⟦1,4⟧ ∋ 0,3」
The closed interval given by 1 and 4 contains 0, 3.
120 permutations match this pattern.
Examples: ⟨150342⟩, ⟨153042⟩, ⟨453012⟩.

🔲 「3rd → a, 0th → b, ab=0」
240 permutations match this pattern.
Examples: ⟨350142⟩, ⟨450321⟩, ⟨320541⟩.

🔲 「Jump(2,4) = 2」
There are 2 numbers between 2 and 4.
144 permutations match this pattern.
Examples: ⟨523041⟩, ⟨215430⟩, ⟨230451⟩.


#125034_v2.2

2023-11-21 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? ⋯ 3 ⋯ (?+2) ⋯⟩ (?≠3,1)
4th → a, 1st → b, a+b=4+5n
6th → a, 2nd → b, a+b=8
4th → a, 0th → b, |a-b|=2

#125034_v2.1

2023-11-21 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

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

⛔Avoid
⟨     ³ʳᵈa ²ⁿᵈb   ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 341

#125034_v2.1

2023-11-19 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟦0,4⟧ ∋ 1
⟨⋯ 1 ⋯ ? ⋯ 2 (?−2)⟩ (?≠2,4)
⟨⋯ Perm(0,6) ⋯⟩

⛔Avoid
⟨⋯ 4 ⋯ ? ⋯ 2 (?−3)⟩ (?≠5)
2nd → a, 0th → b, a+b=2+6n
⟨? ⋯ 2 (?−3) ⋯ 3 ⋯⟩ (?≠5)

#125034_v2.1

2023-11-19 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(1,2,3) ⋯⟩
⟦4,5⟧ ∋ 0,1
5th → a, 1st → b, ab=12

⛔Avoid
Jump(1,4) ≤ 1

#125034_v2.1

2023-11-17 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → 4
5th|4th|3rd|1st → 1
⟨ ⁶ᵗʰ↓ ⁵ᵗʰ= ⁴ᵗʰ↑ ³ʳᵈ↓ ²ⁿᵈ↑ ¹ˢᵗ= ⁰ᵗʰ↓ ⟩ after 6−⟨⇌⟩

⛔Avoid
Jump(2,5) ≥ 1

#125034_v2.1

2023-11-17 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 4th → b, a+b=6
3rd → a, 1st → b, a+b=2

⛔Avoid
⟨   ⁴ᵗʰa ³ʳᵈb       ⟩, (ab)₁₀ ≤ 20
⟨⋯ Perm(0,2,3) ⋯⟩
⟨ ⁵ᵗʰ↑           ⟩ after 2×⟨←⟩

#125034_v2.1

2023-11-16 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ Perm(1,2,3) ⋯⟩
⟨     ⁴ᵗʰa   ²ⁿᵈb ¹ˢᵗc   ⟩, (abc)₁₀ ≥ 453
4th → 0|1|3|4|6
5th → a, 1st → b, a+b=0+6n
3rd → a, 0th → b, |a-b|=1

⛔Avoid
⟨⋯ 2 ⋯ a ⋯⟩, a = 1|3

#125034_v2.1

2023-11-16 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 4 ⋯ 5 ⋯ 0 ⋯⟩
5th → a, 3rd → b, ab=4+5n
⟨   ⁴ᵗʰa     ¹ˢᵗb ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 215
2nd|1st → 0

⛔Avoid
3rd → 1|2|5

#125034_v2.1

2023-11-14 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
0th → 0|1|2|3
⟨? 2 ⋯ (?+3) ⋯ 6 ⋯⟩ (?≠2)
2nd → a, 0th → b, ab=12

⛔Avoid
⟨⋯ 2 ⋯ 5 ⋯ 0 ⋯ 3 ⋯⟩

#125034_v2.1

2023-11-14 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
4th → a, 3rd → b, a+b=3+5n
Jump(0,2) = 1
5th → a, 1st → b, ab=10
5th → 0|2

⛔Avoid
4th → a, 0th → b, |a-b|=1

#125034_v2.1

2023-11-12 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨     ⁴ᵗʰc   ²ⁿᵈa ¹ˢᵗb ⁰ᵗʰd ⟩, a > b > c > d
6th → a, 1st → b, a+b=6

⛔Avoid
6th|4th|2nd|1st|0th → 2
Sim⟨ ⁶ᵗʰ6 ⁵ᵗʰ4 ⁴ᵗʰ1 ³ʳᵈ0 ²ⁿᵈ5 ¹ˢᵗ2 ⁰ᵗʰ3 ⟩ = 1
⟨? ⋯ 2 (?+3) ⋯ 0 ⋯⟩ (?≠2)
4th → 3

#125034_v2.1

2023-11-12 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

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

#125034_v2.1

2023-11-10 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
6th|4th|2nd|0th → 0
2nd → a, 0th → b, a+b=10
⟨ ⁶ᵗʰa ⁵ᵗʰb   ³ʳᵈc       ⟩, (abc)₁₀ ≥ 261

⛔Avoid
⟨⋯ 5 ⋯ a ⋯⟩, a = 1|3|4
⟨? ⋯ 0 ⋯ (?−2) ⋯⟩ (?≠2)

#125034_v2.1

2023-11-10 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? ⋯ 0 ⋯ (?−1) ⋯⟩ (?≠1)
4th → a, 1st → b, a+b=7
⟨ ⁵ᵗʰb   ³ʳᵈa   ¹ˢᵗc   ⟩, a > b > c

#125034_v2.1

2023-11-09 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 0 ⋯ 1 ⋯⟩
⟦3,5⟧ ∋ 0,1,4,6
⟨? 3 ⋯ (?+3) ⋯ 5 ⋯⟩ (?≠3,0)
Jump(1,3) = 2
6th → a, 4th → b, ab=2+6n

#125034_v2.1

2023-11-09 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → a, 4th → b, |a-b|=1
⟦3,5⟧ ∋ 0,1
⟨ ⁵ᵗʰ↓ ⁴ᵗʰ↑ ³ʳᵈ↑ ²ⁿᵈ↓ ¹ˢᵗ↑ ⁰ᵗʰ↓ ⟩ after 5−⟨⋯⟩
⟨? ⋯ 1 (?+2) ⋯ 5 ⋯⟩ (?≠1)

#125034_v2.1

2023-11-07 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+6n
⟨ ⁶ᵗʰd   ⁴ᵗʰb   ²ⁿᵈa ¹ˢᵗc   ⟩, a > b > c > d
⟨ ⁶ᵗʰ↑       ²ⁿᵈ↓     ⟩ after ⟨→⟩
2nd → 0|4

⛔Avoid
5th → 0|1|2|4|5

#125034_v2.1

2023-11-07 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 0 ⋯ ? 2 ⋯ (?−1)⟩ (?≠2,3)
⟦0,1⟧ ∋ 2,3

⛔Avoid
Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ0 ³ʳᵈ4 ²ⁿᵈ3 ¹ˢᵗ5 ⁰ᵗʰ1 ⟩ ≥ 1

#125034_v2.1

2023-11-05 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 ⟨⇌⟩
⟦1,4⟧ ∋ 0
Jump(1,5) ≥ 2
⟦3,4⟧ ∋ 2
Jump(4,6) = 2

⛔Avoid
3rd → a, 0th → b, |a-b|=5
⟨⋯ 0 ⋯ 6 ⋯ 3 ⋯⟩

#125034_v2.1

2023-11-05 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨? ⋯ 2 ⋯ (?−1) ⋯⟩ (?≠2,3)
⟨⋯ Perm(0,1,5) ⋯⟩
Jump(1,3) = 2

⛔Avoid
Sim⟨ ⁵ᵗʰ3 ⁴ᵗʰ5 ³ʳᵈ4 ²ⁿᵈ2 ¹ˢᵗ0 ⁰ᵗʰ1 ⟩ = 0
Sim⟨ ⁵ᵗʰ3 ⁴ᵗʰ5 ³ʳᵈ1 ²ⁿᵈ0 ¹ˢᵗ2 ⁰ᵗʰ4 ⟩ ≤ 1

#125034_v2.1

2023-11-03 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

✅Match
5th → 1|2|6
3rd → 6
6th → a, 1st → b, ab=10

⛔Avoid
4th → a, 1st → b, ab=0+4n
⟨⋯ 5 ⋯ a ⋯⟩, a = 1|2|3|4|6

#125034_v2.1

2023-11-03 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨⋯ 1 ⋯ 2 ⋯ 0 ⋯⟩
⟨   ⁴ᵗʰa ³ʳᵈb     ⁰ᵗʰc ⟩, (abc)₁₀ ≥ 314
⟨⋯ 2 ⋯ 4 ⋯ 0 ⋯⟩
Sim⟨ ⁵ᵗʰ2 ⁴ᵗʰ5 ³ʳᵈ3 ²ⁿᵈ4 ¹ˢᵗ0 ⁰ᵗʰ1 ⟩ = 1

⛔Avoid
⟨⋯ 3 ⋯ 2 ⋯ 0 ⋯⟩

#125034_v2.1

2023-11-02 Q1(m=6)

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

⟨6th 5th 4th 3rd 2nd 1st 0th⟩

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

⛔Avoid
⟨⋯ 6 ⋯ 5 ⋯⟩

#125034_v2.1

2023-11-02 WR

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

⟨5th 4th 3rd 2nd 1st 0th⟩

✅Match
⟨ ⁵ᵗʰa ⁴ᵗʰc     ¹ˢᵗb   ⟩, a > b > c
⟨⋯ 1 ⋯ a ⋯⟩, a = 2|4|5
5th → a, 3rd → b, a+b=8
⟨⋯ Perm(2,5) ⋯⟩

⛔Avoid
4th → a, 0th → b, a+b=2+5n

#125034_v2.1