{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "class TreeNode:\n",
    "    def __init__(self, key, val, left=None, right=None, parent=None):\n",
    "        self.key = key\n",
    "        self.payload = val\n",
    "        self.left_child = left\n",
    "        self.right_child= right\n",
    "        self.parent = parent\n",
    "        self.balanceFactor = 0\n",
    "        \n",
    "    def __iter__(self):\n",
    "        if self:\n",
    "            if self.has_left_child():\n",
    "                for elem in self.left_child:\n",
    "                    yield elem\n",
    "                    \n",
    "            yield self.key\n",
    "            \n",
    "            if self.has_right_child():\n",
    "                for elem in self.right_child:\n",
    "                    yield elem\n",
    "                    \n",
    "    def has_left_child(self):\n",
    "        return self.left_child\n",
    "    \n",
    "    def has_right_child(self):\n",
    "        return self.right_child\n",
    "    \n",
    "    def is_left_child(self):\n",
    "        return self.parent and self.parent.left_child is self\n",
    "    \n",
    "    def is_right_child(self):\n",
    "        return self.parent and self.parent.right_child is self\n",
    "    \n",
    "    def is_root(self):\n",
    "        return not self.parent\n",
    "    \n",
    "    def is_leaf(self):\n",
    "        return not self.left_child and not self.right_child\n",
    "    \n",
    "    def has_any_children(self):\n",
    "        return self.right_child or self.left_child\n",
    "    \n",
    "    def has_both_children(self):\n",
    "        return self.right_child and self.left_child\n",
    "    \n",
    "    def replace_node_data(self, key, value, lc, rc):\n",
    "        self.key = key\n",
    "        self.payload = value\n",
    "        self.left_child = lc\n",
    "        self.right_child = rc\n",
    "        \n",
    "        if self.has_left_child():\n",
    "            self.left_child.parent = self\n",
    "            \n",
    "        if self.has_right_child():\n",
    "            self.right_child.parent = self\n",
    "            \n",
    "    def splice_out(self):\n",
    "        if self.is_leaf():\n",
    "            if self.is_left_child():\n",
    "                self.parent.left_child = None\n",
    "            else:\n",
    "                self.parent.right_child = None\n",
    "        elif self.has_any_children():\n",
    "            if self.has_left_child():\n",
    "                if self.is_left_child():\n",
    "                    self.parent.left_child = self.left_child\n",
    "                else:\n",
    "                    self.parent.right_child = self.left_child\n",
    "                    \n",
    "                self.left_child.parent = self.parent\n",
    "            else:  # has a right child\n",
    "                if self.is_left_child():\n",
    "                    self.parent.left_child = self.right_child\n",
    "                else:\n",
    "                    self.parent.right_child = self.right_child\n",
    "                    \n",
    "                self.right_child.parent = self.parent\n",
    "                \n",
    "    def find_successor(self):\n",
    "        succ = None\n",
    "        \n",
    "        if self.has_right_child():\n",
    "            succ = self.right_child.find_min()\n",
    "        else:  # no right child? Then we work on left child\n",
    "            if self.parent:  # it is an intermediate node\n",
    "                if self.is_left_child():\n",
    "                    succ = self.parent\n",
    "                else:  # is a right child\n",
    "                    self.parent.right_child = None\n",
    "                    succ = self.parent.find_successor()\n",
    "                    self.parent.right_child = self\n",
    "        return succ\n",
    "    \n",
    "    \n",
    "    def find_min(self):\n",
    "        current = self\n",
    "        \n",
    "        while current.has_left_child():\n",
    "            current = current.left_child\n",
    "\n",
    "        return current"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class BinarySearchTree:\n",
    "    def __init__(self):\n",
    "        self.root = None\n",
    "        self.size = 0\n",
    "    \n",
    "    def __len__(self):\n",
    "        return self.length()\n",
    "    \n",
    "    def __iter__(self):\n",
    "        return self.root.__iter__()\n",
    "    \n",
    "    def __setitem__(self, k, v):\n",
    "        self.put(k, v)\n",
    "  \n",
    "    def __getitem__(self, k):\n",
    "        return self.get(k)\n",
    "    \n",
    "    def __contains__(self, k):\n",
    "        #if self._get(key, self.root):\n",
    "        #    return True\n",
    "        #else:\n",
    "        #    return False\n",
    "        \n",
    "        return self._get(k, self.root) is not None\n",
    "\n",
    "    def __delitem__(self, k):\n",
    "        self.delete(k)\n",
    "    \n",
    "    def length(self):\n",
    "        return self.size\n",
    "    \n",
    "    def put(self, key, val):\n",
    "        if self.root:\n",
    "            self._put(key, val, self.root)\n",
    "        else:  # the tree is non-existient\n",
    "            self.root = TreeNode(key, val)\n",
    "            \n",
    "        self.size += 1\n",
    "        \n",
    "    def _put(self, key, val, current_node):\n",
    "        if key < current_node.key:\n",
    "            if current_node.has_left_child():\n",
    "                self._put(key, val, current_node.left_child)\n",
    "            else:\n",
    "                current_node.left_child = TreeNode(key, val, parent=current_node)\n",
    "        else:\n",
    "            if current_node.has_right_child():\n",
    "                self._put(key, val, current_node.right_child)\n",
    "            else:\n",
    "                current_node.right_child = TreeNode(key, val, parent=current_node)\n",
    "                \n",
    "    def get(self, key):\n",
    "        if self.root:\n",
    "            res = self._get(key, self.root)\n",
    "            if res:\n",
    "                # return the value of our TreeNode with matching key\n",
    "                return res.payload\n",
    "            else:\n",
    "                return None\n",
    "        else:\n",
    "            return None\n",
    "        \n",
    "    def _get(self, key, current_node):\n",
    "        if not current_node:\n",
    "            return None\n",
    "        elif current_node.key == key:\n",
    "            return current_node\n",
    "        elif key < current_node.key:\n",
    "            return self._get(key, current_node.left_child)\n",
    "        else:\n",
    "            return self._get(key, current_node.right_child)\n",
    "        \n",
    "    def delete(self, key):\n",
    "        if self.size > 1:\n",
    "            node_to_remove = self._get(key, self.root)\n",
    "            if node_to_remove:\n",
    "                self.remove(node_to_remove)\n",
    "                self.size -= 1\n",
    "            else:\n",
    "                raise KeyError(\"Key not found in tree!\")\n",
    "        elif self.size == 1 and self.root.key == key:\n",
    "            # tree is completely removed, since it was only one node\n",
    "            self.root = None\n",
    "            self.size -= 1\n",
    "        else:\n",
    "            raise KeyError(\"Key not found in tree!\")\n",
    "            \n",
    "    def remove(self, current_node):\n",
    "        if current_node.is_leaf():  # leaf\n",
    "            #if current_node == current_node.parent.left_child:\n",
    "            if current_node.is_left_child():   \n",
    "                current_node.parent.left_child = None\n",
    "            else:\n",
    "                current_node.parent.right_child = None\n",
    "        elif current_node.has_both_children():  # interior or root\n",
    "            succ = current_node.find_successor()\n",
    "            succ.splice_out()\n",
    "            current_node.key = succ.key\n",
    "            current_node.payload = succ.payload\n",
    "        else:  # node has one child\n",
    "            if current_node.has_left_child():\n",
    "                if current_node.is_left_child():\n",
    "                    current_node.left_child.parent = current_node.parent\n",
    "                    current_node.parent.left_child = current_node.left_child\n",
    "                elif current_node.is_right_child():\n",
    "                    current_node.left_child.parent = current_node.parent\n",
    "                    current_node.parent.right_child = current_node.left_child\n",
    "                else: #root\n",
    "                    current_node.replace_node_data(current_node.left_child.key,\n",
    "                                                   current_node.left_child.payload,\n",
    "                                                   current_node.left_child.left_child,\n",
    "                                                   current_node.left_child.right_child)\n",
    "            else: # have right child\n",
    "                if current_node.is_left_child():\n",
    "                    current_node.right_child.parent = current_node.parent\n",
    "                    current_node.parent.left_child = current_node.right_child\n",
    "                elif current_node.is_right_child():\n",
    "                    current_node.right_child.parent = current_node.parent\n",
    "                    current_node.parent.right_child = current_node.right_child\n",
    "                else:\n",
    "                    current_node.replace_node_data(current_node.right_child.key,\n",
    "                                                   current_node.right_child.payload,\n",
    "                                                   current_node.right_child.left_child,\n",
    "                                                   current_node.right_child.right_child) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "node = TreeNode(\"foo\", \"bar\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "node.balanceFactor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "node.balanceFactor = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "node.balanceFactor"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## AVL Tree Rules\n",
    "\n",
    " 1. If a subtree needs a left rotation to bring it to balance:\n",
    "\n",
    "   * First, check the balance factor of the right child.\n",
    "   * If the right child is left heavy, then do a right rotation on the right child\n",
    "   * Peform the original left rotation \n",
    " 1. If a subtree needs a right rotation to bring it to balance:\n",
    "   * First, check the balance factor of the left child.\n",
    "   * If the left child is right heavy, then do a left rotation on the left child\n",
    "   * Peform the original right rotation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "class AVLTreeNode(TreeNode):\n",
    "    def __init__(self, *args, **kwargs):\n",
    "        super(AVLTreeNode, self).__init__(*args, **kwargs)\n",
    "        self.balance_factor = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "class AVLBinarySearchTree(BinarySearchTree):\n",
    "    def put(self, key, val):\n",
    "        if self.root:\n",
    "            self._put(key, val,self.root)\n",
    "        else:\n",
    "            self.root = AVLTreeNode(key, val)\n",
    "        self.size = self.size + 1\n",
    "        \n",
    "    def _put(self, key, val, current_node):\n",
    "        if key < current_node.key:\n",
    "            if current_node.has_left_child():\n",
    "                self._put(key, val, current_node.left_child)\n",
    "            else:\n",
    "                current_node.left_child = AVLTreeNode(key, val, parent=current_node)\n",
    "                self.update_balance(current_node.left_child)  # AVL addition\n",
    "        else:\n",
    "            if current_node.has_right_child():\n",
    "                self._put(key, val, current_node.right_child)\n",
    "            else:\n",
    "                current_node.right_child = AVLTreeNode(key, val, parent=current_node) \n",
    "                self.update_balance(current_node.right_child) # AVL\n",
    "                \n",
    "    def update_balance(self, node):\n",
    "        if node.balance_factor > 1 or node.balance_factor < -1:\n",
    "            self.rebalance(node)\n",
    "            return\n",
    "        \n",
    "        if node.parent != None:\n",
    "            if node.is_left_child():\n",
    "                node.parent.balance_factor += 1\n",
    "            elif node.is_right_child():\n",
    "                node.parent.balance_factor -= 1\n",
    "                \n",
    "            if node.parent.balance_factor != 0:\n",
    "                self.update_balance(node.parent)\n",
    "                \n",
    "    def rotate_left(self, rot_root):\n",
    "        new_root = rot_root.right_child # New root is right child\n",
    "        rot_root.right_child = new_root.left_child # right-left grandchild hops across\n",
    "        \n",
    "        if new_root.left_child != None: # Update parent link of hopping node\n",
    "            new_root.left_child.parent = rot_root\n",
    "        new_root.parent = rot_root.parent # Update parent link of new root\n",
    "        \n",
    "        if rot_root.is_root():\n",
    "            self.root = new_root\n",
    "        else:\n",
    "            if rot_root.is_left_child():\n",
    "                rot_root.parent.left_child = new_root\n",
    "            else: # rot_root is right child\n",
    "                rot_root.parent.right_child = new_root\n",
    "        \n",
    "        new_root.left_child = rot_root\n",
    "        rot_root.parent = new_root # Finally assign the new root as parent of rot_root\n",
    "        \n",
    "        rot_root.balance_factor = (rot_root.balance_factor + 1 \n",
    "                                   - min(new_root.balance_factor, 0))\n",
    "        \n",
    "        new_root.balance_factor = (new_root.balance_factor + 1\n",
    "                                   + max(rot_root.balance_factor, 0))\n",
    "           \n",
    "    def rotate_right(self, rot_root):\n",
    "        new_root = rot_root.left_child # New root is left child\n",
    "        rot_root.left_child = new_root.right_child # left-right grandchild hops across\n",
    "        \n",
    "        if new_root.right_child != None: # Update parent link of hopping node\n",
    "            new_root.right_child.parent = rot_root\n",
    "        new_root.parent = rot_root.parent # Update parent link of new root\n",
    "        \n",
    "        if rot_root.is_root():\n",
    "            self.root = new_root\n",
    "        else:\n",
    "            if rot_root.is_left_child():\n",
    "                rot_root.parent.left_child = new_root\n",
    "            else: # rot_root is right child\n",
    "                rot_root.parent.right_child = new_root\n",
    "        \n",
    "        new_root.right_child = rot_root\n",
    "        rot_root.parent = new_root # Finally assign the new root\n",
    "        \n",
    "        rot_root.balance_factor = (rot_root.balance_factor - 1 \n",
    "                                   - max(new_root.balance_factor, 0))\n",
    "        \n",
    "        new_root.balance_factor = (new_root.balance_factor - 1\n",
    "                                   + min(rot_root.balance_factor, 0))\n",
    "        \n",
    "    def rebalance(self, node):\n",
    "        if node.balance_factor < 0:\n",
    "            if node.right_child.balance_factor > 0:\n",
    "                self.rotate_right(node.right_child)\n",
    "                self.rotate_left(node)\n",
    "            else:\n",
    "                self.rotate_left(node)\n",
    "        elif node.balance_factor > 0:\n",
    "            if node.left_child.balance_factor < 0:\n",
    "                self.rotate_left(node.left_child)\n",
    "                self.rotate_right(node)\n",
    "            else:\n",
    "                self.rotate_right(node)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Testing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import requests\n",
    "from random import shuffle\n",
    "import random\n",
    "from graphviz import Digraph\n",
    "\n",
    "class Stack:\n",
    "    def __init__(self):\n",
    "         self.items = []\n",
    "\n",
    "    def is_empty(self):\n",
    "         return self.items == []\n",
    "\n",
    "    def push(self, item):\n",
    "        self.items.append(item)\n",
    "\n",
    "    def pop(self):\n",
    "         return self.items.pop()\n",
    "\n",
    "    def peek(self):\n",
    "         return self.items[-1]\n",
    "\n",
    "    def size(self):\n",
    "         return len(self.items)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def viz_tree(r):\n",
    "    stack = Stack()\n",
    "    g = Digraph(node_attr={'shape': 'record', 'height': '.1'})\n",
    "    _id = 0\n",
    "    current_node = r.root\n",
    "    leftward = True\n",
    "    current_root_num = 0\n",
    "    \n",
    "    while True:\n",
    "        if current_node:\n",
    "            stack.push((_id, current_node))\n",
    "\n",
    "            #g.node(f'node{_id}', \n",
    "            #       f'<f0>|<f1> {current_node.key}:{current_node.payload} ({current_node.balance_factor})|<f2> ')\n",
    "             \n",
    "            g.node(f'node{_id}', \n",
    "                   f'<f0>|<f1> {current_node.key}:{current_node.payload}|<f2> ')\n",
    "\n",
    "        \n",
    "            if _id >= 1:\n",
    "                g.edge(f'node{current_root_num}:f{0 if leftward else 2}',\n",
    "                       f'node{_id}:f1')\n",
    "                \n",
    "            leftward = True\n",
    "            current_node = current_node.left_child  # left\n",
    "            current_root_num = _id\n",
    "            _id += 1\n",
    "\n",
    "        if current_node is None and not stack.is_empty():\n",
    "            count, popped_node = stack.pop()\n",
    "            if popped_node.right_child:\n",
    "                current_root_num = count\n",
    "                current_node = popped_node.right_child  # right\n",
    "                leftward = False\n",
    "            \n",
    "        if current_node is None and stack.is_empty():\n",
    "            break      \n",
    "\n",
    "    return g"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Test from slides"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[14, 28, 35, 39, 42, 30]\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
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       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 2.40.1 (20161225.0304)\n",
       " -->\n",
       "<!-- Title: %3 Pages: 1 -->\n",
       "<svg width=\"305pt\" height=\"152pt\"\n",
       " viewBox=\"0.00 0.00 305.00 152.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 148)\">\n",
       "<title>%3</title>\n",
       "<polygon fill=\"#ffffff\" stroke=\"transparent\" points=\"-4,4 -4,-148 301,-148 301,4 -4,4\"/>\n",
       "<!-- node0 -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>node0</title>\n",
       "<polygon fill=\"none\" stroke=\"#000000\" points=\"123,-120.5 123,-143.5 210,-143.5 210,-120.5 123,-120.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"133\" y=\"-128.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"#000000\" points=\"143,-120.5 143,-143.5 \"/>\n",
       "<text text-anchor=\"middle\" x=\"166.5\" y=\"-128.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">35:35</text>\n",
       "<polyline fill=\"none\" stroke=\"#000000\" points=\"190,-120.5 190,-143.5 \"/>\n",
       "<text text-anchor=\"middle\" x=\"200\" y=\"-128.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\"> </text>\n",
       "</g>\n",
       "<!-- node1 -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>node1</title>\n",
       "<polygon fill=\"none\" stroke=\"#000000\" points=\"71,-60.5 71,-83.5 158,-83.5 158,-60.5 71,-60.5\"/>\n",
       "<text text-anchor=\"middle\" x=\"81\" y=\"-68.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\"> </text>\n",
       "<polyline fill=\"none\" stroke=\"#000000\" points=\"91,-60.5 91,-83.5 \"/>\n",
       "<text text-anchor=\"middle\" x=\"114.5\" y=\"-68.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">28:28</text>\n",
       "<polyline fill=\"none\" stroke=\"#000000\" points=\"138,-60.5 138,-83.5 \"/>\n",
       "<text text-anchor=\"middle\" x=\"148\" y=\"-68.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\"> </text>\n",
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     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "randavl = AVLBinarySearchTree()\n",
    "randarr = [14, 28,35,39,42]\n",
    "randarr.insert(30,30)\n",
    "print(randarr)\n",
    "for v in randarr:\n",
    "    randavl[v] = v\n",
    "    \n",
    "viz_tree(randavl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Random test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[12, 1, 8, 27, 50, 2, 69, 62, 24, 41]\n"
     ]
    },
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     "execution_count": 36,
     "metadata": {},
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   ],
   "source": [
    "randavl = AVLBinarySearchTree()\n",
    "randarr = random.sample(range(1, 100), 10)\n",
    "print(randarr)\n",
    "for v in randarr:\n",
    "    randavl[v] = v\n",
    "    \n",
    "viz_tree(randavl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Color test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_colors():\n",
    "    color_req = requests.get(\n",
    "        'https://raw.githubusercontent.com/vim/vim/master/runtime/rgb.txt')\n",
    "    color_data = color_req.text.split('\\n')\n",
    "    color_data = list(filter(None, color_data))\n",
    "    colors = {}\n",
    "    for line in color_data:\n",
    "        r, g, b,*name = line.split()\n",
    "        r = hex(int(r))[2:]\n",
    "        g = hex(int(g))[2:]\n",
    "        b = hex(int(b))[2:]\n",
    "        rgb = \"0x\"+r+g+b\n",
    "        colors[int(rgb, base=16)] = \"\".join(name)\n",
    "        \n",
    "    return colors"
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  {
   "cell_type": "code",
   "execution_count": 38,
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   "outputs": [],
   "source": [
    "colors = make_colors()"
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   "execution_count": 39,
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   "outputs": [],
   "source": [
    "avt = AVLBinarySearchTree()"
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  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "for k,v in colors.items():\n",
    "    avt[k] = v"
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  {
   "cell_type": "code",
   "execution_count": 41,
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    "viz_tree(avt)"
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    "sorted_keys = list(colors.keys())\n",
    "sorted_keys.sort()"
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   "source": [
    "avt2 = AVLBinarySearchTree()"
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   "execution_count": 44,
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    "for k in sorted_keys:\n",
    "    avt2[k] = colors[k]"
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