Number of Equivalent Domino Pairs

Given a list of dominoes, dominoes[i] = [a, b] is equivalent to dominoes[j] = [c, d] if and only if either:

  • a == c and b == d, or
  • a == d and b == c

That is, one domino can be rotated to be equal to another domino.

Return the number of pairs (i, j) for which 0 <= i < j < dominoes.length, and dominoes[i] is equivalent to dominoes[j].

Example 1
Inputdominoes = [[1,2],[2,1],[3,4],[5,6]]
Output1
Only the dominoes [1, 2] and [2, 1] are equivalent, so there is one valid pair.
Example 2
Inputdominoes = [[1,2],[1,2],[1,1],[1,2],[2,2]]
Output3
The three occurrences of [1, 2] are mutually equivalent, forming three valid pairs.

Constraints

  • 1 <= dominoes.length <= 4 * 10^4
  • dominoes[i].length == 2
  • 1 <= dominoes[i][j] <= 9

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