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The height of a tree containing just root node is 0 and we have a Red Black tree containing 12 nodes, What is the maximum

The height of a tree containing just root node is 0 and we have a Red Black tree containing 12 nodes,

  1. What is the maximum height this Red black tree can have? (Hint: the number of black nodes in each path is 3 (root included) (5 points)
  2. Show an example of a red black tree (containing proper values) that matches the description above. (10 points)

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