From cf11974c89bfecf5571f10775aac786e9cbd1d57 Mon Sep 17 00:00:00 2001
From: Edmine <edmine.de@gmail.com>
Date: Fri, 27 May 2022 11:33:34 -0400
Subject: [PATCH] completed binary tree task

---
 binary_search_tree/tree.py | 157 ++++++++++++++++++++++++++++++++-----
 1 file changed, 139 insertions(+), 18 deletions(-)

diff --git a/binary_search_tree/tree.py b/binary_search_tree/tree.py
index cdd5abc..0c294e7 100644
--- a/binary_search_tree/tree.py
+++ b/binary_search_tree/tree.py
@@ -14,35 +14,156 @@ class Tree:
     def __init__(self):
         self.root = None
 
-    # Time Complexity: 
-    # Space Complexity: 
+    # Time Complexity: O(log n)
+    # Space Complexity: O(1)
+
+    def add_helper(self, current_root, new_node):
+        if current_root is None:
+            return new_node
+
+        if new_node.key < current_root.key:
+            current_root.left = self.add_helper(current_root.left, new_node)
+
+        else: 
+            current_root.right = self.add_helper(current_root.right, new_node)
+        return current_root
+
     def add(self, key, value = None):
-        pass
 
-    # Time Complexity: 
-    # Space Complexity: 
+        if self.root is None:
+            self.root = TreeNode(key,value)
+            return self.root
+
+        new_node =TreeNode(key,value)
+        self.add_helper(self.root, new_node)
+
+
+    # Time Complexity: O(logn)
+    # Space Complexity: O(1)
+
     def find(self, key):
-        pass
+        if self.root is None:
+            return None
+        current = self.root
+
+        while current:
+                if key < current.key:
+                # go left
+            
+                    current = current.left # traversing left 
+                elif key > current.key:
+                
+                    current = current.right # traversing right. key is the integer and value string
+
+                else:
+                    return current.value
+        return None
+
+    # Time Complexity: O(n)
+    # Space Complexity: O(n)
+
+    def inorder_helper(self, current_node,inorder_list):
+        
+        if current_node is not None:
+            
+            # traversing left
+            self.inorder_helper(current_node.left, inorder_list)
+            # add current node to preorder_list
+            inorder_list.append({"key": current_node.key, "value": current_node.value})
+            #traversing right
+            self.inorder_helper(current_node.right, inorder_list)
+
+
 
-    # Time Complexity: 
-    # Space Complexity: 
     def inorder(self):
-        pass
+        inorder_list = []
+        if self.root is None:
+            return inorder_list
+
+
+        self.inorder_helper(self.root, inorder_list)
+
+        return inorder_list
+        # inorder = self.root
+        # inorder(self.root.left)
+
+        # inorder(self.root.right)
+
+
+    # Time Complexity: O(n)
+    # Space Complexity: O(n)
+
+    def preorder_helper(self,current_node, preorder_list):
+
+        if current_node is not None:
+            
+            #append current node to preorder_list
+            preorder_list.append({"key": current_node.key, "value": current_node.value})
+            
+            #traverse left 
+            self.preorder_helper(current_node.left, preorder_list)
+
+
+            #traverse right
+            self.preorder_helper(current_node.right, preorder_list)
+
+
+
 
-    # Time Complexity: 
-    # Space Complexity:     
     def preorder(self):
-        pass
+        preorder_list = []
+        if self.root is None:
+            return preorder_list
+
+        self.preorder_helper(self.root, preorder_list)
+
+        return preorder_list
+        
+
+    #Time Complexity: O(n)
+    #Space Complexity:  O(n)
+
+    def postorder_helper(self, current_node, postorder_list):
+
+       if current_node is not None:
+
+           # traversing left 
+           self.postorder_helper(current_node.left, postorder_list)
+
+           #traversing right
+           self.postorder_helper(current_node.right, postorder_list)
+
+           postorder_list.append({"key": current_node.key, "value": current_node.value})
+
 
-    # Time Complexity: 
-    # Space Complexity:     
     def postorder(self):
-        pass
+        postorder_list = []
+        if self.root is None:
+            return postorder_list
+
+        #call helper method 
+        self.postorder_helper(self.root, postorder_list)
+
+        return postorder_list
+
+    # Time Complexity: O(n)
+    # Space Complexity: O(n)
+    def height_helper(self,current_node):
+        
+        if current_node is not None:
+           height_left= self.height_helper(current_node.left)
+           height_right = self.height_helper(current_node.right)
+
+        else:
+            return 0
+
+        return (max(height_left,height_right) +1)
+            
 
-    # Time Complexity: 
-    # Space Complexity:     
     def height(self):
-        pass
+      return self.height_helper(self.root)
+
+        
 
 
 #   # Optional Method