Question

The goal of this assignment is to reinforce the tree data structure in C++. Specifically, the assignment is to do the following Binary search trees have their best performance when they are balanced, which means that at each node, n, the height of the left subtree of n is within one of the height of the right subtree of n. Write a function (and a test program) which takes a sorted list of entries and produces a balanced binary search tree.

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Answer #1

Function:

Node *ArrayToBst(int arr[],int l,int r)
{
if(l>r)
return NULL;

int mid=(l+r)/2;
Node *root = newNode(arr[mid]);
root->left = ArrayToBs(arr,l,mid-1);
root->right = ArrayToBs(arr,mid+1,r);

return root;
}

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