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_119binarytree.java
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353 lines (341 loc) · 11.1 KB
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import java.util.*;
public class _119binarytree {
static class Node{
int data;
Node left;
Node right;
Node(int data){
this.data=data;
this.left=null;
this.right=null;
}
}
static class binaryTree{
static int idx=-1;
public static Node buildTree(int nodes[]){
idx++;
if(nodes[idx]==-1){
return null;
}
Node newNode = new Node(nodes[idx]);
newNode.left=buildTree(nodes);
newNode.right=buildTree(nodes);
return newNode;
}
public static void preorder(Node root){
if(root==null){
return;
}
System.out.print(root.data + " ");
preorder(root.left);
preorder(root.right);
}
public static void inorder(Node root){
if(root==null){
return;
}
inorder(root.left);
System.out.print(root.data + " ");
inorder(root.right);
}
public static void postorder(Node root){
if(root==null){
return;
}
postorder(root.left);
postorder(root.right);
System.out.print(root.data + " ");
}
public static void levelorder(Node root){
if(root==null){
return;
}
Queue<Node> q = new LinkedList<>();
q.add(root);
q.add(null);
while(!q.isEmpty()){
Node currNode = q.remove();
if(currNode==null){
System.out.println();
if(q.isEmpty()){
break;
} else{
q.add(null);
}
} else{
System.out.print(currNode.data+" ");
if(currNode.left != null){
q.add(currNode.left);
}
if(currNode.right!=null){
q.add(currNode.right);
}
}
}
}
public static int height(Node root){
if(root==null){
return 0;
}
int lh = height(root.left);
int rh = height(root.right);
return Math.max(rh,lh)+1;
}
public static int countNodes(Node root){
if(root==null){
return 0;
}
int lcount=countNodes(root.left);
int rcount=countNodes(root.right);
return lcount+rcount+1;
}
public static int sum(Node root){
if(root==null){
return 0;
}
int lsum = sum(root.left);
int rsum = sum(root.right);
return lsum+rsum+root.data;
}
// approach 1
public static int diameter2(Node root){
if(root==null){
return 0;
}
int leftDiam=diameter2(root.left);
int leftHt = height(root.left);
int rightDiam=diameter2(root.right);
int rightHt = height(root.right);
int selfDiam = leftHt+rightHt+1;
return Math.max(selfDiam,Math.max(leftDiam,rightDiam));
}
// approach 2
static class Info{
int diam;
int ht;
Info(int diam, int ht){
this.diam=diam;
this.ht=ht;
}
}
public static Info diameter(Node root){
if(root==null){
return new Info(0,0);
}
Info leftInfo = diameter(root.left);
Info rightInfo = diameter(root.right);
int diam = Math.max(Math.max(leftInfo.diam,rightInfo.diam),(leftInfo.ht+rightInfo.ht+1));
int ht = Math.max(leftInfo.ht,rightInfo.ht)+1;
return new Info(diam,ht);
}
public static boolean isIdentical(Node node, Node subRoot){
if(node==null && subRoot==null ){
return true;
}else if(node==null|| subRoot==null || node.data!=subRoot.data){
return false;
}
if(!isIdentical(node.left, subRoot.left)){
return false;
}
if(!isIdentical(node.right, subRoot.right)){
return false;
}
return true;
}
public static boolean isSubtree(Node root, Node subRoot){
if(root==null){
return false;
}
if(root.data==subRoot.data){
if(isIdentical(root,subRoot)){
return true;
}
}
return isSubtree(root.left, subRoot) || isSubtree(root.right, subRoot);
}
static class Info2{
Node node;
int hd;
Info2(Node node, int hd){
this.node=node;
this.hd=hd;
}
}
public static void topView(Node root){
Queue<Info2> q =new LinkedList<>();
HashMap<Integer,Node> map = new HashMap<>();
int min=0,max=0;
q.add(new Info2(root,0));
q.add(null);
while(!q.isEmpty()){
Info2 curr = q.remove();
if(curr==null){
if(q.isEmpty()){
break;
} else{
q.add(null);
}
}
else{
if(!map.containsKey(curr.hd)){
map.put(curr.hd,curr.node);
}
if(curr.node.left!= null){
q.add(new Info2(curr.node.left,curr.hd-1));
min = Math.min(min,curr.hd-1);
}
if(curr.node.right!= null){
q.add(new Info2(curr.node.right,curr.hd+1));
max = Math.max(max,curr.hd+1);
}
}
}
for(int i = min;i<=max;i++){
System.out.print(map.get(i).data+" ");
}
}
public static void Klevel(Node root,int level ,int k){
if(root==null){
return;
}
if(level==k){
System.out.print(root.data+" ");
return;
}
Klevel(root.left,level+1,k);
Klevel(root.right,level+1,k);
}
public static boolean getPath(Node root,int n,ArrayList<Node> path){
if(root==null){
return false;
}
path.add(root);
if(root.data==n){
return true;
}
boolean foundLeft = getPath(root.left,n,path);
boolean foundRight = getPath(root.right,n,path);
if(foundLeft || foundRight){
return true;
}
path.remove(path.size()-1);
return false;
}
public static Node lca(Node root, int n1,int n2){
ArrayList<Node> path1 = new ArrayList<>();
ArrayList<Node> path2 = new ArrayList<>();
getPath(root,n1,path1);
getPath(root,n2,path2);
int i=0;
for(;i<path1.size() && i<path2.size();i++){
if(path1.get(i) != path2.get(i)){
break;
}
}
Node lca =path1.get(i-1);
return lca;
}
public static Node lca2(Node root,int n1,int n2){
if( root==null || root.data==n2 ||root.data==n1 ){
return root;
}
Node leftLca= lca2(root.left,n1,n2);
Node rightLca= lca2(root.right,n1,n2);
if(rightLca==null){
return leftLca;
}
if(leftLca==null){
return rightLca;
}
return root;
}
public static int lcaDist(Node root, int n){
if(root==null){
return -1;
}
if(root.data==n){
return 0;
}
int leftDist = lcaDist(root.left, n);
int rightDist = lcaDist(root.right, n);
if(leftDist ==-1 && rightDist == -1){
return -1;
} else if(leftDist==-1){
return rightDist+1;
} else{
return leftDist+1;
}
}
public static int minDis(Node root,int n1,int n2){
Node lca = lca2(root,n1,n2);
int dist1 = lcaDist(lca,n1);
int dist2 = lcaDist(lca,n2);
return dist1 + dist2;
}
public static int kAncestor(Node root, int n,int k){
if(root==null){
return -1;
}
if(root.data==n){
return 0;
}
int leftDist= kAncestor(root.left, n, k);
int rightDist= kAncestor(root.right, n, k);
if(leftDist ==-1 && rightDist==-1){
return -1;
}
int max= Math.max(leftDist,rightDist);
if(max+1==k){
System.out.println(root.data);
}
return max+1;
}
public static int summm(Node root){
if(root==null){
return 0;
}
int leftChild= summm(root.left);
int rigthChild= summm(root.right);
int data = root.data;
int newLeft = root.left == null? 0 : root.left.data;
int newRight = root.right == null? 0 : root.right.data;
root.data = newLeft +leftChild+rigthChild+newRight;
return data;
}
}
public static void main(String[] args) {
//int nodes[]={1,2,4,-1,-1,5,-1,-1,3,-1,6,-1,-1};
binaryTree tree = new binaryTree();
//Node root = tree.buildTree(nodes);
//System.out.println(root.data);
//tree.preorder(root);
//tree.inorder(root);
//tree.postorder(root);
//tree.levelorder(root);
Node root = new Node(1);
root.left = new Node(2);
root.right = new Node(3);
root.left.left = new Node(4);
root.left.right = new Node(5);
root.right.left = new Node(6);
root.right.right = new Node(7);
// System.out.println(tree.height(root));
// System.out.println(tree.countNodes(root));
// System.out.println(tree.sum(root));
// System.out.println(tree.diameter(root).diam);
// Node subRoot = new Node(2);
// subRoot.left = new Node(4);
// subRoot.right = new Node(5);
// System.out.println(tree.isSubtree(root,subRoot));
//tree.topView(root);
//int k=2;
//tree.Klevel(root, 1, k);
// int n1=4 , n2=7;
// System.out.println(tree.lca(root, n1, n2).data);
// System.out.println(tree.lca2(root, n1, n2).data);
// System.out.println(tree.minDis(root, n1, n2));
//tree.kAncestor(root, 5, 1);
tree.summm(root);
tree.preorder(root);
}
}