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GO Classes DPP | Algorithm|ALGORITHM DESIGN

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Consider the following algorithm findCenterAlgo that takes a tree $T$ as input.
findCenterAlgo (T)
1. Let $T_{\text {current }}$ be a copy of the input tree $T$.

2. While the number of vertices in $T_{\text {current }}$ is greater than 2 :

  1. Identify all leaf nodes (nodes with degree 1 ) in $T_{\text {current }}$.
     
  2. Remove all of these leaf nodes and their incident edges from $T_{\text {current- }}$

3. Output the number of vertices remaining in $T_{\text {current }}$.

The output of findCenterAlgo ( $T$ ) for the tree shown in the given figure is $\_\_\_\_$ .

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