ipynb_files/530_Minimum_Absolute_Difference_in_BST.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-23T14:31:25.190991Z",
     "start_time": "2020-02-23T14:31:25.188025Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import display, Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question\n",
    "(https://leetcode.com/problems/minimum-absolute-difference-in-bst/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-23T14:31:25.217020Z",
     "start_time": "2020-02-23T14:31:25.212019Z"
    }
   },
   "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/530_Q.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 1: inorder"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-23T14:31:25.241991Z",
     "start_time": "2020-02-23T14:31:25.238991Z"
    }
   },
   "outputs": [],
   "source": [
    "class TreeNode:\n",
    "    def __init__(self, x):\n",
    "        self.val = x\n",
    "        self.left = None\n",
    "        self.right = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-23T14:31:25.249022Z",
     "start_time": "2020-02-23T14:31:25.243013Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def getMinimumDifference(self, root):\n",
    "        L = []\n",
    "        def inorder(root):\n",
    "            if root.left:\n",
    "                inorder(root.left)\n",
    "            L.append(root.val)\n",
    "            if root.right:\n",
    "                inorder(root.right)\n",
    "        inorder(root)\n",
    "        return min(b - a for a, b in zip(L[:-1], L[1:]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "heading_collapsed": true
   },
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-23T14:31:25.273021Z",
     "start_time": "2020-02-23T14:31:25.268991Z"
    }
   },
   "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/530_S1.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 2: Recursive"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-23T14:31:25.311022Z",
     "start_time": "2020-02-23T14:31:25.307989Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def getMinimumDifference(self, root):\n",
    "        def fn(node, lo, hi):\n",
    "            if not node:\n",
    "                return hi - lo\n",
    "            left = fn(node.left, lo, node.val)\n",
    "            right = fn(node.right, node.val, hi)\n",
    "            return min(left, right)\n",
    "        return fn(root, float('-inf'), float('inf'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-23T14:31:25.338014Z",
     "start_time": "2020-02-23T14:31:25.333019Z"
    }
   },
   "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/530_S2.PNG'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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"
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