N couples sit in 2N seats arranged in a row and want to hold hands. We want to know the minimum number of swaps so that every couple is sitting side by side. A swap consists of choosing any two people, then they stand up and switch seats.
The people and seats are represented by an integer from 0
to 2N-1
,
the couples are numbered in order, the first couple being (0, 1)
, the second
couple being (2, 3)
, and so on with the last couple being (2N-2,
2N-1)
.
The couples' initial seating is given by row[i]
being the value of the person
who is initially sitting in the i-th seat.
Example 1:
Input: row = [0, 2, 1, 3] Output: 1 Explanation: We only need to swap the second (row[1]) and third (row[2]) person.
Example 2:
Input: row = [3, 2, 0, 1] Output: 0 Explanation: All couples are already seated side by side.
Note:
len(row)
is even and in the range of [4, 60]
.row
is guaranteed to be a permutation of 0...len(row)-1
.