This is a Python program to find the largest value of a binary tree using in-order traversal.
The program creates a binary tree and presents a menu to the user to perform operations on the tree including finding the largest element in the tree.
1. Create a class BinaryTree with instance variables key, left and right.
2. Define methods set_root, insert_left, insert_right, inorder_largest, inorder_largest_helper and search.
3. The method set_root takes a key as argument and sets the variable key equal to it.
4. The methods insert_left and insert_right insert a node as the left and right child respectively.
5. The method search returns a node with a specified key.
6. The method inorder_largest finds the largest element in the tree using in-order traversal. It calls the recursive method inorder_largest_helper.
Here is the source code of a Python program to find the largest value of a binary tree using in-order traversal. The program output is shown below.
class BinaryTree: def __init__(self, key=None): self.key = key self.left = None self.right = None def set_root(self, key): self.key = key def inorder_largest(self): # largest will be a single element list # this is a workaround to reference an integer largest = [] self.inorder_largest_helper(largest) return largest[0] def inorder_largest_helper(self, largest): if self.left is not None: self.left.inorder_largest_helper(largest) if largest == []: largest.append(self.key) elif largest[0] < self.key: largest[0] = self.key if self.right is not None: self.right.inorder_largest_helper(largest) def insert_left(self, new_node): self.left = new_node def insert_right(self, new_node): self.right = new_node def search(self, key): if self.key == key: return self if self.left is not None: temp = self.left.search(key) if temp is not None: return temp if self.right is not None: temp = self.right.search(key) return temp return None btree = None print('Menu (this assumes no duplicate keys)') print('insert <data> at root') print('insert <data> left of <data>') print('insert <data> right of <data>') print('largest') print('quit') while True: do = input('What would you like to do? ').split() operation = do[0].strip().lower() if operation == 'insert': data = int(do[1]) new_node = BinaryTree(data) suboperation = do[2].strip().lower() if suboperation == 'at': btree = new_node else: position = do[4].strip().lower() key = int(position) ref_node = None if btree is not None: ref_node = btree.search(key) if ref_node is None: print('No such key.') continue if suboperation == 'left': ref_node.insert_left(new_node) elif suboperation == 'right': ref_node.insert_right(new_node) elif operation == 'largest': if btree is None: print('Tree is empty.') else: print('Largest element: {}'.format(btree.inorder_largest())) elif operation == 'quit': break
1. A variable is created to store the binary tree.
2. The user is presented with a menu to perform operations on the binary tree.
3. The corresponding methods are called to perform each operation.
4. The method inorder_largest is called to find the largest element in the tree.
Case 1: Menu (this assumes no duplicate keys) insert <data> at root insert <data> left of <data> insert <data> right of <data> largest quit What would you like to do? insert 1 at rot What would you like to do? largest Largest element: 1 What would you like to do? insert 2 left of 1 What would you like to do? largest Largest element: 2 What would you like to do? insert 3 right of 1 What would you like to do? largest Largest element: 3 What would you like to do? insert 10 left of 3 What would you like to do? largest Largest element: 10 What would you like to do? quit Case 2: Menu (this assumes no duplicate keys) insert <data> at root insert <data> left of <data> insert <data> right of <data> largest quit What would you like to do? insert 3 at root What would you like to do? insert 5 left of 3 What would you like to do? insert 2 right of 3 What would you like to do? largest Largest element: 5 What would you like to do? quit
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