{"id":8954,"date":"2021-12-01T10:37:13","date_gmt":"2021-12-01T18:37:13","guid":{"rendered":"https:\/\/zxi.mytechroad.com\/blog\/?p=8954"},"modified":"2021-12-01T10:37:46","modified_gmt":"2021-12-01T18:37:46","slug":"leetcode-ultimate-dp-study-plan-day-5","status":"publish","type":"post","link":"https:\/\/zxi.mytechroad.com\/blog\/dynamic-programming\/leetcode-ultimate-dp-study-plan-day-5\/","title":{"rendered":"\u82b1\u82b1\u9171 LeetCode Ultimate DP Study Plan Day 5"},"content":{"rendered":"\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"LeetCode DP\u7ec8\u6781\u5b66\u4e60\u8ba1\u5212\uff01Day5 Maximum Subarray\u3010\u8ddf\u6211\u4e00\u8d77\u5199\u4ee3\u7801\u3011\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/Gk6yWhfzdOc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>53.\u00a0Maximum Subarray<\/strong><\/h2>\n\n\n\n<div class=\"responsive-tabs\">\n<h2 class=\"tabtitle\">Python3<\/h2>\n<div class=\"tabcontent\">\n\n<pre lang=\"python\"># Author: Huahua\n# Time complexity: O(n)\n# Space complexity: O(n)\nclass Solution:\n  def maxSubArray(self, nums: List[int]) -> int:\n    \n    @cache\n    def dp(i: int) -> int:\n      \"\"\"Max subarray ends with nums[i].\"\"\"\n      if i < 0: return 0 # Empty array.\n      return nums[i] + max(0, dp(i - 1))\n    \n    # Try all possible ending positions.\n    return max(dp(i) for i in range(len(nums)))\n<\/pre>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>918.\u00a0Maximum Sum Circular Subarray<\/strong><\/h2>\n\n\n\n<div class=\"responsive-tabs\">\n<h2 class=\"tabtitle\">Python3<\/h2>\n<div class=\"tabcontent\">\n\n<pre lang=\"python\"># Author: Huahua\n# Time complexity: O(n)\n# Space complexity: O(n)\nclass Solution:\n  def maxSubarraySumCircular(self, nums: List[int]) -> int:\n    n = len(nums)\n    \n    @cache\n    def dp(i: int, s: int) -> int:\n      \"\"\"Max subarray ends with s * nums[i].\"\"\"\n      if i < 0: return 0 # Empty array.\n      # Append to max subbary ends with nums[i-1] or start a new one.\n      return nums[i] * s + max(0, dp(i - 1, s))\n    \n    max_p = max(dp(i, 1) for i in range(n))\n    max_n = max(dp(i, -1) for i in range(n))\n    \n    return max_p if max_p < 0 else max(max_p, sum(nums) + max_n)\n<\/pre>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>53.\u00a0Maximum Subarray # Author: Huahua # Time complexity: O(n) # Space complexity: O(n) class Solution: def maxSubArray(self, nums: List[int]) -> int: @cache def dp(i: int)&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[46],"tags":[740,18],"class_list":["post-8954","post","type-post","status-publish","format-standard","hentry","category-dynamic-programming","tag-coding-with-me","tag-dp","entry","simple"],"_links":{"self":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/8954","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/comments?post=8954"}],"version-history":[{"count":2,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/8954\/revisions"}],"predecessor-version":[{"id":8956,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/8954\/revisions\/8956"}],"wp:attachment":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/media?parent=8954"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/categories?post=8954"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/tags?post=8954"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}