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Is the below tree representation of 50,100,400,300,280 correct way to represent cartesian tree?

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1.
Is it true that splay trees have O(logn) amortized complexity ?
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2.
What is missing in this logic of finding a path in the tree for a given sum (i.e checking whether there will be a path from roots to leaf nodes with given sum)?

checkSum(struct bin-treenode *root , int sum) :
  if(root==null)
    return sum as 0
  else :
     leftover_sum=sum-root_node-->value
     //missing
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The number of different directed trees with 3 nodes are
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If a node in a BST has two children, then its inorder predecessor has
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5.
Consider the below left-left rotation pseudo code where the node contains value pointers to left, right child nodes and a height value and Height() function returns height value stored at a particular node.
What is missing?

avltree leftrotation(avltreenode z):
   avltreenode w =x-left
   x-left=w-right
   w-right=x
   x-height=max(Height(x-left),Height(x-right))+1 
   w-height=max(missing)+1   
  return w
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