{"id":4233,"date":"2018-11-01T23:18:52","date_gmt":"2018-11-02T06:18:52","guid":{"rendered":"https:\/\/zxi.mytechroad.com\/blog\/?p=4233"},"modified":"2018-11-02T09:35:56","modified_gmt":"2018-11-02T16:35:56","slug":"leetcode-dp-summary","status":"publish","type":"post","link":"https:\/\/zxi.mytechroad.com\/blog\/dynamic-programming\/leetcode-dp-summary\/","title":{"rendered":"\u82b1\u82b1\u9171 LeetCode DP Summary \u52a8\u6001\u89c4\u5212\u603b\u7ed3"},"content":{"rendered":"<p><iframe loading=\"lazy\" title=\"\u82b1\u82b1\u9171 LeetCode DP1 - \u5237\u9898\u627e\u5de5\u4f5c SP8\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/3mY5W0yojtA?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><\/p>\n<p><iframe loading=\"lazy\" title=\"\u82b1\u82b1\u9171 LeetCode DP2 - \u5237\u9898\u627e\u5de5\u4f5c SP9\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/eLlZEYzZVyQ?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><\/p>\n<p>Summary: Input size \/ sub-problem size \/ sub-problem complexity \/ time complexity \/ space complexity<\/p>\n<div class=\"responsive-tabs\">\n<h2 class=\"tabtitle\">Category 1.1<\/h2>\n<div class=\"tabcontent\">\n\n<pre class=\"lang:default decode:true \">Input: O(n)\r\nSub-problems: O(n)\r\nEach sub-problem depends on O(1) smaller problems\r\nTime complexity: O(n)\r\nSpace complexity: O(n) -&gt; O(1)\r\ndp[i] := solution of A[1-&gt;i] \/\/ prefix<\/pre>\n\n<\/div><h2 class=\"tabtitle\">Template<\/h2>\n<div class=\"tabcontent\">\n\n<pre class=\"lang:default decode:true\">dp = new int[n + 1]\r\nfor i = 1 to n:\r\n  dp[i] = f(A[i], dp[i-1], dp[i-2], ...)\r\nreturn dp[n]<\/pre>\n<\/div><\/div>\n<p>&nbsp;<\/p>\n<p>Summary and slides<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4234\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-1.png\" alt=\"\" width=\"960\" height=\"540\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-1.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-1-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-1-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4235\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-2.png\" alt=\"\" width=\"960\" height=\"540\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-2.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-2-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-2-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-4236\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-3.png\" alt=\"\" width=\"960\" height=\"540\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-3.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-3-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-3-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-4237\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-4.png\" alt=\"\" width=\"960\" height=\"540\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-4.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-4-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-4-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4244 size-full\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-5.png\" alt=\"\" width=\"960\" height=\"540\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-5.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-5-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-5-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-4239\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-6.png\" alt=\"\" width=\"960\" height=\"540\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-6.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-6-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-6-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-4240\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-7.png\" alt=\"\" width=\"960\" height=\"540\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-7.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-7-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2018\/11\/sp9-7-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Summary: Input size \/ sub-problem size \/ sub-problem complexity \/ time complexity \/ space complexity Input: O(n) Sub-problems: O(n) Each sub-problem depends on O(1) smaller&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[46,170],"tags":[18,427,428],"class_list":["post-4233","post","type-post","status-publish","format-standard","hentry","category-dynamic-programming","category-sp","tag-dp","tag-summary","tag-template","entry","simple"],"_links":{"self":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/4233","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=4233"}],"version-history":[{"count":6,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/4233\/revisions"}],"predecessor-version":[{"id":4247,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/4233\/revisions\/4247"}],"wp:attachment":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/media?parent=4233"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/categories?post=4233"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/tags?post=4233"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}