Friday, February 25, 2022

Level order Linewise Zig Zag

I/P:

24 10 20 50 -1 60 -1 -1 30 70 -1 80 110 -1 120 -1 -1 90 -1 -1 40 100 -1 -1 -1

O/P:

10 40 30 20 50 60 70 80 90 100 120 110
















package pep.Day28;

import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Stack;

public class LevelOrder_Linewise_Zigzag {
private static class Node {
int data;
ArrayList<Node> children = new ArrayList<>();
}

public static void display(Node node) {
String str = node.data + " -> ";
for (Node child : node.children) {
str += child.data + ", ";
}
str += ".";
System.out.println(str);
for (Node child : node.children) {
display(child);
}
}

public static Node construct(int[] arr) {
Node root = null;

Stack<Node> st = new Stack<>();
for (int i = 0; i < arr.length; i++) {
if (arr[i] == -1) {
st.pop();
} else {
Node t = new Node();
t.data = arr[i];

if (st.size() > 0) {
st.peek().children.add(t);
} else {
root = t;
}

st.push(t);
}
}

return root;
}

public static int size(Node node) {
int s = 0;

for (Node child : node.children) {
s += size(child);
}
s += 1;

return s;
}

public static void levelOrderLinewiseZZ(Node node) {
// write your code here

Stack<Node> mainStack = new Stack<>();
Stack<Node> childStack = new Stack<>();

mainStack.add(node);
int level = 1;
while (!mainStack.isEmpty()) {
// remove
Node out = mainStack.pop();
// print
System.out.print(out.data + " ");

// add children
if (level % 2 == 0) {
// for right to left printing of node
for (int i = out.children.size() - 1; i >= 0; i--)
childStack.push(out.children.get(i));
} else {
// for left to right printing of node
for (int i = 0; i < out.children.size(); i++)
childStack.push(out.children.get(i));
}

// swaping of mainStack and childStack.
// also, incrementing the level
if (mainStack.isEmpty()) {
mainStack = childStack;
childStack = new Stack<>();
System.out.println();
level++;
}
}
}

public static void main(String[] args) throws Exception {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
int n = Integer.parseInt(br.readLine());
int[] arr = new int[n];
String[] values = br.readLine().split(" ");
for (int i = 0; i < n; i++) {
arr[i] = Integer.parseInt(values[i]);
}

Node root = construct(arr);
levelOrderLinewiseZZ(root);
}

}


Time Complexity:

O(n) If you notice carefully we are just inserting one node in a stack and then popping it. So for every node, we are performing constant time operations and hence we will have n*O(1) = O(n) time complexity.

Space Complexity:

O(n) at worst case In the worst case, the child stack might have n-1 nodes. Look at the following tree for example.

So the worst-case space complexity will be O(n).

 






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