ipynb_files/102_Binary_Tree_Level_Order_Traversal.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-10-13T14:22:17.428999Z",
     "start_time": "2019-10-13T14:22:17.426998Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import display, Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question\n",
    "(https://leetcode.com/problems/binary-tree-level-order-traversal/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-10-13T14:22:17.453997Z",
     "start_time": "2019-10-13T14:22:17.447997Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Image('../images/102_Q.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-10-13T14:22:17.473998Z",
     "start_time": "2019-10-13T14:22:17.469998Z"
    }
   },
   "outputs": [],
   "source": [
    "# Definition for a binary tree node.\n",
    "class TreeNode:\n",
    "    def __init__(self, x):\n",
    "        self.val = x\n",
    "        self.left = None\n",
    "        self.right = None\n",
    "\n",
    "class Solution:\n",
    "    def levelOrder(self, root):\n",
    "        if not root:\n",
    "            return []\n",
    "        ans, level = [], [root]\n",
    "        while level:\n",
    "            ans.append([node.val for node in level])\n",
    "            tmp = []\n",
    "            for node in level:\n",
    "                tmp.extend([node.left, node.right])\n",
    "            level = [leaf for leaf in tmp if leaf]\n",
    "        return ans"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-10-13T14:22:17.484999Z",
     "start_time": "2019-10-13T14:22:17.482997Z"
    }
   },
   "outputs": [],
   "source": [
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-10-13T14:22:17.492999Z",
     "start_time": "2019-10-13T14:22:17.486998Z"
    }
   },
   "outputs": [],
   "source": [
    "def generate_tree(tree_vals):\n",
    "    num_elem = len(tree_vals)\n",
    "    num_level = math.log2(num_elem + 1)\n",
    "    assert num_level % 1 == 0, 'wrong number in tree values...'\n",
    "    # init all tree nodes\n",
    "    ptree = []\n",
    "    for i in range(num_elem):\n",
    "        tmp_tree = TreeNode(tree_vals[i])\n",
    "        ptree.append(tmp_tree)\n",
    "    for i in range(int(num_elem / 2 - 1) + 1):\n",
    "        ptree[i].left = ptree[2 * i + 1]\n",
    "        ptree[i].right = ptree[2 * i + 2]\n",
    "    return ptree[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-10-13T14:22:17.499998Z",
     "start_time": "2019-10-13T14:22:17.494010Z"
    }
   },
   "outputs": [],
   "source": [
    "tree_vals = [1,2,2,5,4,4,3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-10-13T14:22:17.508999Z",
     "start_time": "2019-10-13T14:22:17.500999Z"
    }
   },
   "outputs": [],
   "source": [
    "root = generate_tree(tree_vals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-10-13T14:22:17.514998Z",
     "start_time": "2019-10-13T14:22:17.509998Z"
    }
   },
   "outputs": [],
   "source": [
    "s = Solution()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-10-13T14:22:17.522002Z",
     "start_time": "2019-10-13T14:22:17.515998Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1], [2, 2], [5, 4, 4, 3]]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.levelOrder(root)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-10-13T14:22:17.530999Z",
     "start_time": "2019-10-13T14:22:17.523999Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Image('../images/102_S1.PNG'))"
   ]
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}