Give an efficient algorithm to find all keys in a min heap that are smaller than a provided value X. The provided value does not have to be a key in the min heap. Evaluate the time complexity of your algorithm

The algorithm to this question as follows:

Algorithm:

finding_small_element(element,Key xa) //defining method that accepts parameter

{

if (element.value>= xa) //check value

{

//skiping node

return;  

}

print(element.value);//print value

if (element.left != NULL) //check left node value

{

finding_small_element(element.left,xa); //using method

}

if (element.right != NULL) //check right node value

{

finding_small_element(element.right,xa); //using method

}

}

Explanation:

In the above pre-order traversing algorithm a method  "finding_small_element" is defined, that accepts two parameter, that is "element and ax', in which "element" is node value and ax is its "key".

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answer would be