Binary Heap 16 1112 8119 1 23 456 16 1 11 2 12 3 8 4 11 5 9 6 viewed as an array viewed as a binary tree Left(i) = 2i Right(i) = 2i + 1 Parent(i) = i.

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Presentation transcript:

Binary Heap viewed as an array viewed as a binary tree Left(i) = 2*i Right(i) = 2*i + 1 Parent(i) = i / 2 A[i] >= A[Left(i)] A[i] >= A[Right(i)]

Binary Heap : Insert Operation viewed as an array viewed as a binary tree viewed as an array viewed as a binary tree

Binary Heap : Delete Operation viewed as an array viewed as a binary tree viewed as an array viewed as a binary tree viewed as an array viewed as a binary tree 14 1

Binary Heap Operations Both insert and delete are O(log N) operations (i.e. number of levels in the tree) 2*i can be implemented as left shift i / 2 can be implemented as right shift