Alternating Groups I

There is a circle of red and blue tiles. You are given an array of integers colors. The color of tile i is represented by colors[i]:

  • colors[i] == 0 means that tile i is red.
  • colors[i] == 1 means that tile i is blue.

Every 3 contiguous tiles in the circle with alternating colors, where the middle tile has a different color from its left and right tiles, is called an alternating group.

Return the number of alternating groups.

Note that since colors represents a circle, the first and the last tiles are considered to be next to each other.

Example 1
Inputcolors = [1,1,1]
Output0
All three tiles have the same color, so no group of 3 contiguous tiles is alternating.
Example 2
Inputcolors = [0,1,0,0,1]
Output3
There are 3 contiguous groups of 3 tiles in the circle whose middle tile has a different color from both neighbors.

Constraints

  • 3 <= colors.length <= 100
  • 0 <= colors[i] <= 1

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