MAX DIVISOR TREE Let a tree exists with the root value N. The property of this...
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MAX DIVISOR TREE Let a tree exists with the root value N. The property of this tree is that each of its nodes branches out to the nodes with a value equal to one of its divisors (except 1 and the number itself). What maximum height the tree can have? Note: The height of a tree is defined as the number of edges in its longest path from the root to a leaf node. Example Consider N = 8. You must determine the maximum height of the tree under the given conditions: • The root of the tree is 8. It branches out two nodes with values 2 and 4. • Node 4 can again branch out a node with value 2. Therefore the maximum height of the tree is 2. The path looks like this: 8 (~.) • The root of the tree is 8. It branches out two nodes with values 2 and 4. • Node 4 can again branch out a node with value 2. Therefore the maximum height of the tree is 2. The path looks like this: 8 > 4>2 Function description Complete the solve function provided in the editor. This function takes the following parameter and returns the answer: • N: Represents the root of the tree. Input format Note: This is the input format that you must use to provide custom input (available above the Compile and Test button). • The first line and the only line of input consists of an integer N denoting the root value of the tree. Output: • Output a single integer denoting the MAXIMUM HEIGHT OF THE TREE. Input format Note: This is the input format that you must use to provide custom input (available above the Compile and Test button). • The first line and the only line of input consists of an integer N denoting the root value of the tree. Output: • Output a single integer denoting the MAXIMUM HEIGHT OF THE TREE. Constraints: 1≤N≤ 1000000 Code snippets (also called starter code/bollerplate code) This question has code snippets for C, CPP, Java, and Python. Sample Input 1 10 Copy Sample output 1 1 Copy MAX DIVISOR TREE Let a tree exists with the root value N. The property of this tree is that each of its nodes branches out to the nodes with a value equal to one of its divisors (except 1 and the number itself). What maximum height the tree can have? Note: The height of a tree is defined as the number of edges in its longest path from the root to a leaf node. Example Consider N = 8. You must determine the maximum height of the tree under the given conditions: • The root of the tree is 8. It branches out two nodes with values 2 and 4. • Node 4 can again branch out a node with value 2. Therefore the maximum height of the tree is 2. The path looks like this: 8 (~.) • The root of the tree is 8. It branches out two nodes with values 2 and 4. • Node 4 can again branch out a node with value 2. Therefore the maximum height of the tree is 2. The path looks like this: 8 > 4>2 Function description Complete the solve function provided in the editor. This function takes the following parameter and returns the answer: • N: Represents the root of the tree. Input format Note: This is the input format that you must use to provide custom input (available above the Compile and Test button). • The first line and the only line of input consists of an integer N denoting the root value of the tree. Output: • Output a single integer denoting the MAXIMUM HEIGHT OF THE TREE. Input format Note: This is the input format that you must use to provide custom input (available above the Compile and Test button). • The first line and the only line of input consists of an integer N denoting the root value of the tree. Output: • Output a single integer denoting the MAXIMUM HEIGHT OF THE TREE. Constraints: 1≤N≤ 1000000 Code snippets (also called starter code/bollerplate code) This question has code snippets for C, CPP, Java, and Python. Sample Input 1 10 Copy Sample output 1 1 Copy
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Related Book For
Introduction to Algorithms
ISBN: 9780262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Posted Date:
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