ipynb_files/035_Search_Insert_Position.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T04:55:46.566031Z",
     "start_time": "2020-02-16T04:55:46.564070Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import display, Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question\n",
    "(https://leetcode.com/problems/search-insert-position/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T04:56:23.777782Z",
     "start_time": "2020-02-16T04:56:23.713795Z"
    }
   },
   "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/035_Q.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 1: Brute Force"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T05:03:10.885041Z",
     "start_time": "2020-02-16T05:03:10.882036Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def searchInsert(self, nums, target):\n",
    "        for idx, num in enumerate(nums):\n",
    "            if target <= num:\n",
    "                return idx\n",
    "            else:\n",
    "                continue\n",
    "        return idx + 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T05:09:46.345207Z",
     "start_time": "2020-02-16T05:09:46.329551Z"
    }
   },
   "outputs": [],
   "source": [
    "def test_part(nums, targets, exp_results):\n",
    "    s = Solution()\n",
    "    for (target, exp_result) in zip(targets, exp_results):\n",
    "        res = s.searchInsert(nums, target)\n",
    "        assert res == exp_result, 'wrong at target: {}'.format(target)\n",
    "    print('succeed...')\n",
    "    return"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T05:09:46.787611Z",
     "start_time": "2020-02-16T05:09:46.784611Z"
    }
   },
   "outputs": [],
   "source": [
    "nums = [1, 3, 5, 6]\n",
    "targets = [5, 2, 7, 0]\n",
    "exp_results = [2, 1, 4, 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T05:09:47.165851Z",
     "start_time": "2020-02-16T05:09:47.162852Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "succeed...\n"
     ]
    }
   ],
   "source": [
    "test_part(nums, targets, exp_results)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T05:10:58.233645Z",
     "start_time": "2020-02-16T05:10:58.218018Z"
    }
   },
   "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/035_S1.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 2: binary search"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T05:24:42.623633Z",
     "start_time": "2020-02-16T05:24:42.605811Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def searchInsert(self, nums, target):\n",
    "        low = 0\n",
    "        high = len(nums) - 1\n",
    "        while (low <= high):\n",
    "            middle = int((low + high) / 2)\n",
    "            if nums[middle] == target:\n",
    "                return middle\n",
    "            elif nums[middle] < target:\n",
    "                low = middle + 1\n",
    "            else:\n",
    "                high = middle - 1\n",
    "        return low"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T05:24:54.376645Z",
     "start_time": "2020-02-16T05:24:54.373650Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "succeed...\n"
     ]
    }
   ],
   "source": [
    "test_part(nums, targets, exp_results)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T05:25:50.271827Z",
     "start_time": "2020-02-16T05:25:50.267815Z"
    }
   },
   "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/035_S2.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 3: one line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T05:32:52.943264Z",
     "start_time": "2020-02-16T05:32:52.940195Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def searchInsert(self, nums, target):\n",
    "        return len([x for x in nums if x < target])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T05:33:00.798788Z",
     "start_time": "2020-02-16T05:33:00.795680Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "succeed...\n"
     ]
    }
   ],
   "source": [
    "test_part(nums, targets, exp_results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-16T05:34:31.226930Z",
     "start_time": "2020-02-16T05:34:31.221903Z"
    }
   },
   "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/035_S3.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"
  },
  "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": true
  },
  "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
}