3 For the following recurrences use the recursion tree metho

#3

For the following recurrences, use the recursion tree method to find a good guess of what they solve to asymptotically (i.e. in big-Oh notation). Assume T(1) = 1. T(n) = 3T(n/3) n for n >1. T(n) 4T(n/2) n^3 for n > 1. Consider the following runtime recurrence: T(1) = 1 and T(n) - 3T(n/2) + n^2 when n greaterthanorequalto 2. Use big-Oh induction to prove that T(n) O(n^2).

Solution

public category NonRecursiveTraversal non-public TreeNode root;

personal static category TreeNode
}

public void createBinaryTree (Integer[] arr) a pair of * i + 1;
final int right = a pair of * i + 2;

if (arr[left] != null)
if (right < arr.length && arr[right] != null)
}
}
}

public void preOrder() whereas (!stack.empty()) whereas (!stack.empty()) whereas (!stack.isEmpty() || node != null) else whereas (!stack.isEmpty() || node != null) whereas (node != null)

node = stack.pop();

// (node.right) != null suggests that this node is parent of that little subtree
// stack.pop != null ensures it had been not the foundation.
if (node.right != null && !stack.isEmpty() && node.right == stack.peek()) else