How to Convert a General Tree to a Binary Tree?

A General Tree is a tree where a parent can have any number of children (3, 4, 10, etc.). But a Binary Tree has a strict rule: a parent can only have a maximum of 2 children (Left and Right). Sometimes, we need to convert a General Tree into a Binary Tree to process it easily in computer memory. We do this using the "Left-Child, Right-Sibling" representation.

The 3 Golden Rules for Conversion: To convert any General Tree into a Binary Tree, just follow these 3 simple steps:

1. Step 1: Link all Siblings (Bhai-Behan ko jodein) Draw a horizontal line to connect all the children of the same parent from left to right. (These are called sibling links).

2. Step 2: Keep only the First Child (Baaki links kaat dein) For every parent node, keep the vertical link connecting it to its first (leftmost) child, and erase the links connecting it to all its other children.

3. Step 3: Tilt the Tree (45 Degrees) Now, tilt the entire structure 45 degrees to the right.

   • The original left-most child becomes the Left Child in the new Binary Tree.

   • The siblings connected by the horizontal lines become the Right Child of each other.

Example Case:

• Suppose Root A has 3 children: B, C, and D.

• Node B has 2 children: E and F.

• After Conversion:

  • A's left child will be B.

  • B's right child will be C (because C is B's sibling).

  • C's right child will be D (because D is C's sibling).

  • B's left child will be E.

  • E's right child will be F (because F is E's sibling).

Lets know through this reprsation

Step 1.

Step 2. 

Step 3. 

Step 4