Im trying to create a Binary search tree that includes all numbers from 1 to n. an example would be from 1 to 5 would be something like
root: 3
root.left: 2
root.left.left = 1
root.right = 4
root.right.right = 5
This tree happens to be not very balanced, but I would prefer a method that produces as balanced of a tree as possible.
I am trying to create my own data structure for this, so I basically just wrote a Node class:
private class BinaryNode{
int data;
BinaryNode left;
BinaryNode right;
BinaryNode parent;
}
And I planned on having that inside another class, which represents the tree itself. I am stuck finding a good way determine the left/right values appropriately to build the tree, any help is appreciated!
The data on the root node would be (n+1)/2
; if you've got a subtree representing the range [i..j]
, the root of that subtree is (i+j)/2
(using integer arithmetic).
You can build the tree recursively using that fact:
static BinaryNode build(int i, int j) {
if (i > j) return null;
int mid = (i + j) / 2; // Assumes i >= 0.
BinaryNode node = new BinaryNode();
node.data = mid;
node.left = build(i, mid - 1);
if (node.left != null) node.left.parent = node;
node.right = build(mid + 1, j);
if (node.right != null) node.right.parent = node;
return node;
}
Then start the recursive call:
BinaryNode node = build(1, n);
It must be pointed out, however, that such a binary search tree (storing contiguous integers from 1 to n) is useless: you may as well simply use an array, and "search" it using an array index.
public void insert(int id){
Node newNode = new Node(id);
if(root==null){
root = newNode;
return;
}
Node current = root;
Node parent = null;
while(true){
parent = current;
if(id<current.data){
current = current.left;
if(current==null){
parent.left = newNode;
newNode.parent = parent;
return;
}
}else{
current = current.right;
if(current==null){
parent.right = newNode;
newNode.parent = parent;
return;
}
}
}
}
Without recursion insertion of 1 to n numbers.
public static void main(String arg[]){
Solution2 s = new Solution2();
Scanner sc = new Scanner(System.in);
int n = sc.nextInt();
for(int i = 1;i <= n;i++){
s.insert(i);
}
}
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