125034

2024-01-25 Q1(m=6)

Rearrange the digits in 〈1263045〉 to meet the rules below.

〈6th 5th 4th 3rd 2nd 1st 0th〉

▲ Match:
〈 ³a ¹b 〉, min[[a,b]] = 1
[[4,6]] ∋ 1,2,3,5
〈⋯ Perm(2,5) ⋯〉
〈⋯ 6 ⋯ ? 3 ⋯ (?−1)〉 (?≠3,4)

▼ Avoid:
5th|2nd|0th → 0

----- Information -----

● 「〈 ³a ¹b 〉, min[[a,b]] = 1」
The least element of { [3rd], [2nd], [1st] } is 1.
1440 permutations match this pattern.
Examples: 〈3052614〉, 〈4526130〉, 〈4621530〉.

● 「[[4,6]] ∋ 1,2,3,5」
The closed interval given by 4 and 6 contains 1, 2, 3, 5.
336 permutations match this pattern.
Examples: 〈6105324〉, 〈4310526〉, 〈4503216〉.

● 「〈⋯ Perm(2,5) ⋯〉」
2,5 are adjacent.
1440 permutations match this pattern.
Examples: 〈6302541〉, 〈1520364〉, 〈4032516〉.

● 「〈⋯ 6 ⋯ ? 3 ⋯ (?−1)〉 (?≠3,4)」
?, 3, (?−1) are three different numbers.
300 permutations match this pattern.
Examples: 〈2631405〉, 〈4206315〉, 〈6153024〉.

● 「5th|2nd|0th → 0」
2160 permutations match this pattern.
Examples: 〈4365012〉, 〈1042563〉, 〈1356420〉.

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Riddle Analysis

－－－－－－－

(M)「[[4,6]] ∋ 1,2,3,5」
(M)「〈⋯ 6 ⋯ ? 3 ⋯ (?−1)〉 (?≠3,4)」
(A)「5th|2nd|0th → 0」

－－－－－－４

(M)「〈 ³a ¹b 〉, min[[a,b]] = 1」
(M)「〈⋯ Perm(2,5) ⋯〉」
(M)「〈⋯ 6 ⋯ ? 3 ⋯ (?−1)〉 (?≠3,4)」

－－２５３１４

(A)「5th|2nd|0th → 0」

０６２５３１４

#125034_v2.3