ipynb_files/220_Contains_Duplicate_III.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.523651Z",
     "start_time": "2020-04-19T09:01:56.519649Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import display, Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question\n",
    "(https://leetcode.com/problems/contains-duplicate-iii/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.557678Z",
     "start_time": "2020-04-19T09:01:56.542678Z"
    }
   },
   "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/220_Q.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 1: Brute Force"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.585649Z",
     "start_time": "2020-04-19T09:01:56.581683Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def containsNearbyAlmostDuplicate(self, nums, k, t):\n",
    "        length = len(nums)\n",
    "        for i in range(length - 1):\n",
    "            for j in range(i + 1, min(length, i + k + 1)):\n",
    "                if abs(nums[i] - nums[j]) <= t:\n",
    "                    return True\n",
    "        return False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.611649Z",
     "start_time": "2020-04-19T09:01:56.608651Z"
    }
   },
   "outputs": [],
   "source": [
    "nums = [1,2,3,1]\n",
    "k = 3\n",
    "t = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.618649Z",
     "start_time": "2020-04-19T09:01:56.613649Z"
    }
   },
   "outputs": [],
   "source": [
    "s = Solution()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.626649Z",
     "start_time": "2020-04-19T09:01:56.619649Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.containsNearbyAlmostDuplicate(nums, k, t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.639649Z",
     "start_time": "2020-04-19T09:01:56.634675Z"
    }
   },
   "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/220_S1.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 2: Use Set"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.670679Z",
     "start_time": "2020-04-19T09:01:56.666678Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def containsNearbyAlmostDuplicate(self, nums, k, t):\n",
    "        length = len(nums)\n",
    "        a = set()\n",
    "        for i in range(length):\n",
    "            if t == 0:\n",
    "                if nums[i] in a:\n",
    "                    return True\n",
    "            else:\n",
    "                for item in a:\n",
    "                    if abs(nums[i] - item) <= t:\n",
    "                        return True\n",
    "            a.add(nums[i])\n",
    "            if len(a) == k + 1:\n",
    "                a.remove(nums[i-k])\n",
    "        return False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.684653Z",
     "start_time": "2020-04-19T09:01:56.682648Z"
    }
   },
   "outputs": [],
   "source": [
    "s = Solution()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.692683Z",
     "start_time": "2020-04-19T09:01:56.685651Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.containsNearbyAlmostDuplicate(nums, k, t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.708663Z",
     "start_time": "2020-04-19T09:01:56.703651Z"
    },
    "scrolled": true
   },
   "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/220_S2.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 3: Bucket"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.739649Z",
     "start_time": "2020-04-19T09:01:56.735648Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def containsNearbyAlmostDuplicate(self, nums, k, t):\n",
    "        if t < 0:\n",
    "            return False\n",
    "        w = t + 1 \n",
    "        d = dict()\n",
    "        for i in range(len(nums)):\n",
    "            m = nums[i] // w  # bucket index\n",
    "            if m in d:\n",
    "                return True\n",
    "            elif (m-1 in d and abs(d[m-1] - nums[i]) <= t):\n",
    "                return True\n",
    "            elif (m+1 in d and abs(d[m+1] - nums[i]) <= t):\n",
    "                return True\n",
    "            d[m] = nums[i]\n",
    "            if (i >= k):\n",
    "                d.pop(nums[i-k] // w)\n",
    "        return False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-04-19T09:01:56.765649Z",
     "start_time": "2020-04-19T09:01:56.760649Z"
    }
   },
   "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/220_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
}