Data Structures and Algorithms Quiz

In a binary max heap containing n numbers, the smallest element can be found in time

A) 0(n)
B) O(logn)
C) 0(loglogn)
D) 0(1)

Solution :

A) is correct.
In a max heap, the smallest element is always present at a leaf node. So we need to check for all leaf nodes for the minimum value. Worst case complexity will be O(n)

         12
        /  \
      /      \
    8         7
   / \        / \
 /     \    /     \
2      3   4       5

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