ipynb_files/056_Merge_Intervals.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T10:33:01.079280Z",
     "start_time": "2020-08-16T10:33:01.076280Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import display, Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question\n",
    "(https://leetcode.com/problems/merge-intervals/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T10:33:01.089259Z",
     "start_time": "2020-08-16T10:33:01.084281Z"
    }
   },
   "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/056_Q.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 1: inserted sort func"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T10:33:01.104257Z",
     "start_time": "2020-08-16T10:33:01.100279Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def merge(self, intervals):\n",
    "        if len(intervals) <= 1:\n",
    "            return intervals\n",
    "        out = []\n",
    "        for interval in sorted(intervals):\n",
    "            if not out:\n",
    "                out.append(interval)\n",
    "            else:\n",
    "                if interval[0] <= out[-1][1]:\n",
    "                    out[-1][1] = max(interval[1], out[-1][1])\n",
    "                else:\n",
    "                    out.append(interval)\n",
    "        return out"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T10:33:01.111258Z",
     "start_time": "2020-08-16T10:33:01.108257Z"
    }
   },
   "outputs": [],
   "source": [
    "intervals = [[1,3],[2,6],[8,10],[15,18]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T10:33:01.118279Z",
     "start_time": "2020-08-16T10:33:01.112267Z"
    }
   },
   "outputs": [],
   "source": [
    "s = Solution()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T10:33:01.125257Z",
     "start_time": "2020-08-16T10:33:01.119257Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 6], [8, 10], [15, 18]]"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.merge(intervals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T10:33:01.130258Z",
     "start_time": "2020-08-16T10:33:01.126257Z"
    }
   },
   "outputs": [],
   "source": [
    "intervals = [[1,4],[0,3]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T10:33:01.139280Z",
     "start_time": "2020-08-16T10:33:01.131258Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[0, 4]]"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.merge(intervals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T10:33:01.146255Z",
     "start_time": "2020-08-16T10:33:01.140254Z"
    }
   },
   "outputs": [],
   "source": [
    "intervals = [[1,4],[0,0]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T10:33:01.154260Z",
     "start_time": "2020-08-16T10:33:01.147256Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[0, 0], [1, 4]]"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.merge(intervals)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-08-16T10:33:01.162255Z",
     "start_time": "2020-08-16T10:33:01.156256Z"
    }
   },
   "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/056_S1.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": 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
}