positive integers and should insert those numbers into the RB tree in that order. Note that the input file will only contain distinct integers. Print your tree by level using positive values for Black color and negative values for Red color. Do not print out null nodes. Format for a node: (, ). For example, the following tree is represented as

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**Red-Black Tree Implementation with Insert Operation**

In this exercise, you are required to implement a Red-Black tree with the Insert() operation. The program should read from a file containing positive integers, which will be inserted into the Red-Black tree in the given order. Each number in the input file will be distinct.

**Key Details:**

- Print the tree level by level.
- Use positive numbers for nodes with a Black color and negative numbers for nodes with a Red color.
- Do not print null nodes.

**Node Format:**

The tree is represented in the format \((\text{Node\_value}, \text{Parent\_value})\).

**Example:**

Given the following tree structure, the representation will be as follows:

- \((12, \text{null})\)
- \((5, 12)\) \((15, 12)\)
- \((3, 5)\) \((-10, 5)\) \((13, 15)\) \((17, 15)\)
- \((-4, 3)\) \((7, -10)\) \((11, -10)\) \((-14, 13)\)
- \((-6, 7)\) \((-8, 7)\)

**Tree Diagram Explanation:**

- The root node is 12 (Black).
- The second level has nodes 5 (Black) and 15 (Black).
- On the third level, nodes 3 (Black) and -10 (Red) are children of 5, while nodes 13 (Black) and 17 (Black) are children of 15.
- The fourth level includes -4 (Red) as the child of 3, with nodes 7 (Black) and 11 (Black) as children of -10, and -14 (Red) as a child of 13.
- The fifth level shows -6 (Red) and -8 (Red) as children of 7.

This representation ensures a clear understanding of the tree structure and colors for accurate implementation and visualization.
Transcribed Image Text:**Red-Black Tree Implementation with Insert Operation** In this exercise, you are required to implement a Red-Black tree with the Insert() operation. The program should read from a file containing positive integers, which will be inserted into the Red-Black tree in the given order. Each number in the input file will be distinct. **Key Details:** - Print the tree level by level. - Use positive numbers for nodes with a Black color and negative numbers for nodes with a Red color. - Do not print null nodes. **Node Format:** The tree is represented in the format \((\text{Node\_value}, \text{Parent\_value})\). **Example:** Given the following tree structure, the representation will be as follows: - \((12, \text{null})\) - \((5, 12)\) \((15, 12)\) - \((3, 5)\) \((-10, 5)\) \((13, 15)\) \((17, 15)\) - \((-4, 3)\) \((7, -10)\) \((11, -10)\) \((-14, 13)\) - \((-6, 7)\) \((-8, 7)\) **Tree Diagram Explanation:** - The root node is 12 (Black). - The second level has nodes 5 (Black) and 15 (Black). - On the third level, nodes 3 (Black) and -10 (Red) are children of 5, while nodes 13 (Black) and 17 (Black) are children of 15. - The fourth level includes -4 (Red) as the child of 3, with nodes 7 (Black) and 11 (Black) as children of -10, and -14 (Red) as a child of 13. - The fifth level shows -6 (Red) and -8 (Red) as children of 7. This representation ensures a clear understanding of the tree structure and colors for accurate implementation and visualization.
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