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Unformatted text preview: re in Array[3..6]. Array[3..6] a This is great for a balanced tree. But if the tree is not balanced, many elements of the array are not used. 8 nodes = array of 23. 2 1 2 1 3 z 14 Left child of node i is node 2*i+1 2*i+1 Right child is node 2*i+2 Right child is node 2*i+2 x 1 y The parent of node i is node (i-1)/2 (i- Although we now do not need two child pointers to move either down or up the tree, we do need some indicator of missing nodes. Thi ca be se sto This can either be a sentinel value of the stored data, or we could have a second array indicating which nodes are occupied. So we're only just saving space. t 4 v w The parent of the last node j is (j-1)/2. (jCall this value nlast. nlast 0 r 10 9 s 19 20 22 There is, however, one data structure which uses a fully loaded binary tree and hence is optimally stored in an array. It is called a heap. heap It has one property to determine the relative positions of data: the data value at the root of a heap is larger than all of its children. 17 As a subtree is also a tree, so the subtree of...
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