ipynb_files/912_Sort_an_Array.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:23:58.451434Z",
     "start_time": "2020-04-19T09:23:58.448434Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import display, Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question\n",
    "(https://leetcode.com/problems/sort-an-array/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:24:23.956033Z",
     "start_time": "2020-04-19T09:24:23.946033Z"
    }
   },
   "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/912_Q.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 1: bubble sort"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:29:08.764199Z",
     "start_time": "2020-04-19T09:29:08.760230Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def sortArray(self, nums):\n",
    "        for i in range(len(nums)-1):\n",
    "            for j in range(i+1, len(nums)):\n",
    "                if nums[i] > nums[j]:\n",
    "                    nums[i], nums[j] = nums[j], nums[i]\n",
    "        return nums"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:29:22.059115Z",
     "start_time": "2020-04-19T09:29:22.056114Z"
    }
   },
   "outputs": [],
   "source": [
    "nums = [5,2,3,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:29:34.746152Z",
     "start_time": "2020-04-19T09:29:34.742150Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 2, 3, 5]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = Solution()\n",
    "s.sortArray(nums)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:29:57.270064Z",
     "start_time": "2020-04-19T09:29:57.266086Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 0, 1, 1, 2, 5]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.sortArray([5,1,1,2,0,0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:31:55.094383Z",
     "start_time": "2020-04-19T09:31:55.090384Z"
    }
   },
   "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/912_S1.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 2: bucket sort"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T10:19:50.050408Z",
     "start_time": "2020-04-19T10:19:50.046431Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def sortArray(self, nums):\n",
    "        shift_cnt = 50000\n",
    "        cnt_list = [0] * 100001\n",
    "        idx = 0\n",
    "        for i in range(len(nums)):\n",
    "            cnt_list[nums[i] + 50000] += 1\n",
    "        for i in range(len(cnt_list)):\n",
    "            while(cnt_list[i] > 0):\n",
    "                nums[idx] = i - 50000\n",
    "                idx += 1\n",
    "                cnt_list[i] -= 1\n",
    "        return nums"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T10:19:50.304893Z",
     "start_time": "2020-04-19T10:19:50.301921Z"
    }
   },
   "outputs": [],
   "source": [
    "s = Solution()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T10:19:50.506267Z",
     "start_time": "2020-04-19T10:19:50.497271Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 4, 4, 5]"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.sortArray([4, 4, 1, 5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T10:20:36.696798Z",
     "start_time": "2020-04-19T10:20:36.690801Z"
    }
   },
   "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/912_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"
  },
  "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": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "257px"
   },
   "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
}