#######################- Printing -################################# import copy # Check tree def is_identical_tree_rec(node1, node2): if node1 == None and node2 == None: return True elif node1 != None and node2 != None: return ((node1.data == node2.data) and is_identical_tree_rec(node1.left, node2.left) and is_identical_tree_rec(node1.right, node2.right)) else: return False def is_identical_tree(treeRoot1, treeRoot2): return is_identical_tree(treeRoot1, treeRoot2) # TREE TRAVERSAL PRINT CODE def get_lvl_order(root): if (root == None): return "None" else: queue = [] level_order_list = [] queue.append(root) result = "" while (len(queue)): temp = queue[0] queue.pop(0) # print("level_order_list: ", level_order_list) level_order_list.append(temp.data) if (temp.left != None): queue.append(temp.left) if (temp.right != None): queue.append(temp.right) for i in range(len(level_order_list)): result += str(level_order_list[i]) if (i < len(level_order_list) - 1): result += ", " return result def get_in_order_rec(node, res): if (node == None): return res else: res = get_in_order_rec(node.left, res) res += str(len(res)) + str(node.data) + ", " res= get_in_order_rec(node.right, res) return res def get_in_order(root): if (root == None): return "None" else: res = "" res = get_in_order_rec(root, res) return str(res) # TREE GRAPIC PRINT CODE # Display List Code Below: def height(node): if (node == None): return 0 return 1 + max(height(node.left), height(node.right)) def draw_node(output, link_above, node, level, p, link_char): if (node == None): return out = "[" h = len(output) SP = " " if (p < 0): for s in output: if (s): s = " "*(-1*p) + s for s in link_above: if (s): s = " "*(-1*p) + s if level < h - 1: p = max(p, len(output[level + 1])) if (level > 0): p = max(p, len(output[level - 1])) p = max(p, len(output[level])) # Fill in to left if (node.left): leftData = SP + str(node.left.data) + SP draw_node(output, link_above, node.left, level + 1, p - len(leftData),'L') p = max(p, len(output[level + 1])) # Enter this data space = p - len(output[level]) if (space > 0): output[level] += (' ' * space) node_data = SP + str(node.data) + SP output[level] += node_data # Add vertical link above space = p + len(SP) - len(link_above[level]) if (space > 0): link_above[level] += (' ' * space) link_above[level] += link_char # Fill in to right if (node.right): draw_node(output, link_above, node.right, level + 1, len(output[level]),'R') def display_tree(root): if (root == None): print("\tNone") h = height(root) output = [] link_above = [] for i in range(0,h): output.append("") link_above.append("") draw_node(output, link_above, root, 0, 5, ' ') # Create link lines for i in range(h): for j in range(len(link_above[i])): if (link_above[i][j] != ' '): size = len(output[i - 1]) if (size < j + 1): output[i - 1] += " " *(j + 1 - size) jj = j if (link_above[i][j] == 'L'): while (output[i - 1][jj] == ' '): jj += 1 for k in range(j+1, jj-1): str1 = output[i - 1] list1 = list(str1) list1[k] = '_' output[i - 1] = ''.join(list1) elif(link_above[i][j] == 'R'): while (output[i - 1][jj] == ' '): jj-=1 # k = j-1 for k in range(j-1,jj+1,-1): temp = output[i - 1] list1 = list(temp) list1[k] = '_' output[i - 1] = ''.join(list1) k = k - 1 str1 = link_above[i] list1 = list(str1) list1[j] = '|' link_above[i] = ''.join(list1) # Output for i in range(h): if (i): print("\t" , link_above[i]) print("\t" , output[i]) [1, None, 2, 3, 4, 5, 6, 7, 8]from BinaryTree import * def lowest_common_ancestor(root, node1, node2): current = root while current: if node1.data > current.data and node2.data > current.data: current = current.right elif node1.data < current.data and node2.data < current.data: current = current.left else: return current # Driver code def main(): input_trees = [[TreeNode(6), TreeNode(2), TreeNode(8), TreeNode(0), TreeNode(4), TreeNode(7), TreeNode(9), None, None, TreeNode(3), TreeNode(5)], [TreeNode(6), TreeNode(2), TreeNode(8), TreeNode(0), TreeNode(4), TreeNode(7), TreeNode(9), None, None, TreeNode(3), TreeNode(5)], [TreeNode(2), TreeNode(1)], [TreeNode(5), TreeNode(3), TreeNode(9), TreeNode(1), TreeNode(2), TreeNode(7), TreeNode(10), None, None, None, None, TreeNode(6), TreeNode(8)], [TreeNode(100), TreeNode(88), TreeNode(130)]] input_nodes = [ [2, 8], [2, 4], [2, 1], [6, 10], [88, 130] ] for i in range(len(input_trees)): tree = BinaryTree(input_trees[i]) print(i+1, ".\tBinary search tree:", sep="") display_tree(tree.root) print("\n\tnode1 = ", input_nodes[i][0]) print("\tnode2 = ", input_nodes[i][1]) lca = lowest_common_ancestor(tree.root, tree.find(input_nodes[i][0]), tree.find(input_nodes[i][1])) print("\n\tLowest common ancestor: ", lca.data, sep="") print("-"*100) if __name__ == "__main__": main()