1. A binary tree is complete if every internal node has two children, and every leaf has exactly the same depth. Design a divide and conquer algorithm that returns the largest complete subtree of a given binary tree. Your algorithm should return both the root and the depth of this subtree. Establish the correctness and analyze the running time of your algorithm. For example, in the tree below three complete subtrees are shown in red, blue, and green, respectively, with the red subtree being the largest.
1. A binary tree is complete if every internal node has two children, and every leaf has exactly the same depth. Design a divide and conquer algorithm that returns the largest complete subtree of a given binary tree. Your algorithm should return both the root and the depth of this subtree. Establish the correctness and analyze the running time of your algorithm. For example, in the tree below three complete subtrees are shown in red, blue, and green, respectively, with the red subtree being the largest.
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Transcribed Image Text:1. A binary tree is complete if every internal node has two children, and every leaf has exactly
the same depth. Design a divide and conquer algorithm that returns the largest complete
subtree of a given binary tree. Your algorithm should return both the root and the depth of
this subtree. Establish the correctness and analyze the running time of your algorithm.
For example, in the tree below three complete subtrees are shown in red, blue, and green,
respectively, with the red subtree being the largest.
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