This specfic for data structures and algthorims please I need help this cannot be code can you please show steps of diagrams with circle I don't need code I just need a visual with daigrams for this. Can you please help me by Implementing with an array and can also can you show it by doing step by step so I can understand it better and follow along. These are the PROBLEM STEPS to follow: Throughout these operations, the importance of adhering to principles for maintaining a heap structure is highlighted. Time complexity is emphasized in the context of each action. 1. Search: The text prompts consideration of the time complexity for searching and emphasizes connecting this operation with underlying principles. 2. Insert: The process involves determining where a new node can be added, followed by insertion and potential swapping to maintain the heap principles. 3.Delete: Deleting the "last" node is identified as an easy operation. The approach suggested involves swapping the root with this last node and only deleting the root. Further swaps are then performed to ensure the heap principles are consistently followed. Throughout these operations, the importance of adhering to principles for maintaining a heap structure is highlighted. Time complexity is emphasized in the context of each action.

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This specfic for data structures and algthorims please I need help this cannot be code can you please show steps of diagrams with circle I don't need code I just need a visual with daigrams for this.

Can you please help me by Implementing with an array and can also can you show it by doing step by step so I can understand it better and follow along.

These are the PROBLEM STEPS to follow:

Throughout these operations, the importance of adhering to principles for maintaining a heap structure is highlighted. Time complexity is emphasized in the context of each action.

1. Search: The text prompts consideration of the time complexity for searching and emphasizes connecting this operation with underlying principles.
2. Insert: The process involves determining where a new node can be added, followed by insertion and potential swapping to maintain the heap principles.
3.Delete: Deleting the "last" node is identified as an easy operation. The approach suggested involves swapping the root with this last node and only deleting the root. Further swaps are then performed to ensure the heap principles are consistently followed.

Throughout these operations, the importance of adhering to principles for maintaining a heap structure is highlighted. Time complexity is emphasized in the context of each action.

**Exercise: Analyzing Binary Trees**

**Instructions:**
Try everything in these examples. Keep track of what is happening under the hood (the array).

**Diagram Explanation:**

This image displays two binary trees.

1. **Left Binary Tree:**
- The root node is 6.
- The left child of the root is 7, which itself has two children: 10 (left) and 15 (right).
- The right child of the root is 12, which has one child: 17 (left).

2. **Right Binary Tree:**
- The root node is 15.
- The left child of the root is 6, which connects further but no children are shown.
- The right child of the root is 17, which has two children: 10 (left) and 7 (right).

**Objective:**
Analyze and compare the structures and data organization of these trees. Consider how each element relates to one another and how this might be represented in an array format.

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