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Structure the array as follows:
- francistheanteater August 16, 2014First element is the number of nodes, K.
Next K elements are nodes in the trees, (say numbers associated with them).
Take remaining elements of array in consecutive pairs. i.e., if we have 4 and 5, 4 is parent of 5. Add parent relationships to this part of the array in left-right order, so tree reconstruction is unambiguous.
Easy to reconstruct tree in linear time and space. Might be able to get away with constant extra space.
Array is linear in the size of the tree, since we're storing the edges and nodes exactly one.