ipynb_files/946_Validate_Stack_Sequences.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:36:43.694812Z",
     "start_time": "2019-11-24T12:36:43.691799Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import display, Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question\n",
    "(https://leetcode.com/problems/validate-stack-sequences/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:37:18.299694Z",
     "start_time": "2019-11-24T12:37:18.236687Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Image('../images/946_Q.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 1: Brute Force (O(n3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:45:58.630052Z",
     "start_time": "2019-11-24T12:45:58.626026Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def validateStackSequences(self, pushed, popped):\n",
    "        assert len(pushed) == len(popped)\n",
    "        length = len(pushed)\n",
    "        if length >= 3:\n",
    "            for i in range(0, length - 2):\n",
    "                idx_i = popped.index(pushed[i])\n",
    "                for j in range(i + 1, length - 1):\n",
    "                    idx_j = popped.index(pushed[j])\n",
    "                    for k in range(j + 1, length):\n",
    "                        idx_k = popped.index(pushed[k])\n",
    "                        if idx_k < idx_i and idx_i < idx_j:\n",
    "                            return False\n",
    "        return True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:46:27.390286Z",
     "start_time": "2019-11-24T12:46:27.387288Z"
    }
   },
   "outputs": [],
   "source": [
    "pushed = [1,2,3,4,5]\n",
    "popped = [4,5,3,2,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:46:48.309296Z",
     "start_time": "2019-11-24T12:46:48.304296Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = Solution()\n",
    "s.validateStackSequences(pushed, popped)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:47:02.900482Z",
     "start_time": "2019-11-24T12:47:02.886159Z"
    }
   },
   "outputs": [],
   "source": [
    "pushed = [1,2,3,4,5]\n",
    "popped = [4,3,5,1,2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:47:07.143890Z",
     "start_time": "2019-11-24T12:47:07.139775Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = Solution()\n",
    "s.validateStackSequences(pushed, popped)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:52:59.956027Z",
     "start_time": "2019-11-24T12:52:59.950032Z"
    }
   },
   "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/946_S1.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 2: Brute Force (O(n2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:50:59.761252Z",
     "start_time": "2019-11-24T12:50:59.757248Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def validateStackSequences(self, pushed, popped):\n",
    "        assert len(pushed) == len(popped)\n",
    "        length = len(pushed)\n",
    "        if length >= 3:\n",
    "            for i in range(0, length - 2):\n",
    "                idx_i = popped.index(pushed[i])\n",
    "                for j in range(i + 1, length - 1):\n",
    "                    idx_j = popped.index(pushed[j])\n",
    "                    idx_k = popped.index(pushed[j + 1])\n",
    "                    if idx_k < idx_i and idx_i < idx_j:\n",
    "                        return False\n",
    "        return True"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:51:08.797908Z",
     "start_time": "2019-11-24T12:51:08.794893Z"
    }
   },
   "outputs": [],
   "source": [
    "pushed = [1,2,3,4,5]\n",
    "popped = [4,5,3,2,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:51:16.286778Z",
     "start_time": "2019-11-24T12:51:16.282780Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = Solution()\n",
    "s.validateStackSequences(pushed, popped)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:51:23.142532Z",
     "start_time": "2019-11-24T12:51:23.139516Z"
    }
   },
   "outputs": [],
   "source": [
    "pushed = [1,2,3,4,5]\n",
    "popped = [4,3,5,1,2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:51:30.571907Z",
     "start_time": "2019-11-24T12:51:30.567879Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = Solution()\n",
    "s.validateStackSequences(pushed, popped)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T12:52:47.845488Z",
     "start_time": "2019-11-24T12:52:47.840451Z"
    }
   },
   "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/946_S2.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 3: sequence check"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T14:17:00.659647Z",
     "start_time": "2019-11-24T14:17:00.656647Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def validateStackSequences(self, pushed, popped):\n",
    "        inter_stack = []\n",
    "        for elem in popped:\n",
    "            while (not inter_stack or (inter_stack and inter_stack[-1] != elem)) and (pushed and pushed[0] != elem):\n",
    "                inter_stack.append(pushed[0])\n",
    "                pushed = pushed[1:]\n",
    "            if pushed and pushed[0] == elem:\n",
    "                pushed = pushed[1:]\n",
    "                popped = popped[1:]\n",
    "                continue\n",
    "            if inter_stack and inter_stack[-1] == elem:\n",
    "                inter_stack.pop()\n",
    "                popped = popped[1:]\n",
    "                continue\n",
    "            return False\n",
    "        return True"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T14:18:55.831595Z",
     "start_time": "2019-11-24T14:18:55.826596Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pushed = [0,2,1,3]\n",
    "popped = [1,2,3,0]\n",
    "s = Solution()\n",
    "s.validateStackSequences(pushed, popped)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T14:19:09.133604Z",
     "start_time": "2019-11-24T14:19:09.129612Z"
    }
   },
   "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/946_S3.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 4: mock the process"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T14:25:12.774943Z",
     "start_time": "2019-11-24T14:25:12.770948Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def validateStackSequences(self, pushed, popped):\n",
    "        idx = 0\n",
    "        stack = []\n",
    "        for p in pushed:\n",
    "            stack.append(p)\n",
    "            while stack and stack[-1] == popped[idx]:\n",
    "                stack.pop()\n",
    "                idx += 1\n",
    "        return not stack"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T14:25:25.791932Z",
     "start_time": "2019-11-24T14:25:25.787934Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pushed = [0,2,1,3]\n",
    "popped = [1,2,3,0]\n",
    "s = Solution()\n",
    "s.validateStackSequences(pushed, popped)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-11-24T14:26:42.153836Z",
     "start_time": "2019-11-24T14:26:42.148838Z"
    }
   },
   "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/946_S4.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
}