ipynb_files/053_Maximum_Subarray.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-30T09:01:13.004120Z",
     "start_time": "2019-06-30T09:01:13.001120Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import display, Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question\n",
    "(https://leetcode.com/problems/maximum-subarray/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-30T09:01:13.038120Z",
     "start_time": "2019-06-30T09:01:13.030118Z"
    }
   },
   "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/053_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": "2019-06-30T09:01:13.061120Z",
     "start_time": "2019-06-30T09:01:13.058119Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def maxSubArray(self, nums):\n",
    "        length = len(nums)\n",
    "        max_val = -2147483648\n",
    "        for i in range(length):\n",
    "            output = 0\n",
    "            for j in range(i, length):\n",
    "                output += nums[j]\n",
    "                if output > max_val:\n",
    "                    max_val = output\n",
    "        return max_val"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-30T09:01:13.076120Z",
     "start_time": "2019-06-30T09:01:13.073119Z"
    }
   },
   "outputs": [],
   "source": [
    "nums = [-2,1,-3,4,-1,2,1,-5,4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-30T09:01:13.084120Z",
     "start_time": "2019-06-30T09:01:13.077120Z"
    }
   },
   "outputs": [],
   "source": [
    "s = Solution()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-30T09:01:13.091120Z",
     "start_time": "2019-06-30T09:01:13.085119Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.maxSubArray(nums)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-30T09:01:13.106121Z",
     "start_time": "2019-06-30T09:01:13.101149Z"
    }
   },
   "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/053_S1.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 2: Dynamic Programming"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-30T09:01:13.135121Z",
     "start_time": "2019-06-30T09:01:13.133120Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def maxSubArray(self, nums):\n",
    "        length=len(nums)  \n",
    "        for i in range(1,length):  \n",
    "            # 当前值的大小与前面的值之和比较，若当前值更大，则取当前值，舍弃前面的值之和  \n",
    "            subMaxSum=max(nums[i]+nums[i-1],nums[i])\n",
    "            nums[i]=subMaxSum  # 将当前和最大的赋给nums[i]，新的nums存储的为和值\n",
    "        return max(nums) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-30T09:01:13.149120Z",
     "start_time": "2019-06-30T09:01:13.147119Z"
    }
   },
   "outputs": [],
   "source": [
    "s = Solution()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-30T09:01:13.158119Z",
     "start_time": "2019-06-30T09:01:13.150121Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.maxSubArray(nums)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-30T09:01:13.169122Z",
     "start_time": "2019-06-30T09:01:13.165119Z"
    }
   },
   "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/053_S2.PNG'))"
   ]
  }
 ],
 "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
}