{"id":6621,"date":"2020-04-15T20:37:45","date_gmt":"2020-04-16T03:37:45","guid":{"rendered":"https:\/\/zxi.mytechroad.com\/blog\/?p=6621"},"modified":"2020-04-15T20:37:46","modified_gmt":"2020-04-16T03:37:46","slug":"fast-power-for-dp-sp20","status":"publish","type":"post","link":"https:\/\/zxi.mytechroad.com\/blog\/sp\/fast-power-for-dp-sp20\/","title":{"rendered":"Fast Power for DP SP20"},"content":{"rendered":"\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-video is-provider-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"\u82b1\u82b1\u9171 Fast Power for DP - \u5237\u9898\u627e\u5de5\u4f5c SP20\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/Ol1e4TOHvno?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<p>Iterative DP usually takes O(n) to compute dp[n] from dp[0], we could do better if the problem can be written as matrix multiplication. With fast power, dp[n] can be computed in O(logn)<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"960\" height=\"540\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-1.png\" alt=\"\" class=\"wp-image-6622\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-1.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-1-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-1-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"960\" height=\"540\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-2.png\" alt=\"\" class=\"wp-image-6623\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-2.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-2-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-2-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"960\" height=\"540\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-3.png\" alt=\"\" class=\"wp-image-6624\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-3.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-3-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-3-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"960\" height=\"540\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp20-4.png\" alt=\"\" class=\"wp-image-6625\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp20-4.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp20-4-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp20-4-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"960\" height=\"540\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp20-5.png\" alt=\"\" class=\"wp-image-6626\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp20-5.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp20-5-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp20-5-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"960\" height=\"540\" src=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-6.png\" alt=\"\" class=\"wp-image-6627\" srcset=\"https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-6.png 960w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-6-300x169.png 300w, https:\/\/zxi.mytechroad.com\/blog\/wp-content\/uploads\/2020\/04\/sp-20-6-768x432.png 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Iterative DP usually takes O(n) to compute dp[n] from dp[0], we could do better if the problem can be written as matrix multiplication. With fast&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[170],"tags":[],"class_list":["post-6621","post","type-post","status-publish","format-standard","hentry","category-sp","entry","simple"],"_links":{"self":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/6621","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=6621"}],"version-history":[{"count":1,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/6621\/revisions"}],"predecessor-version":[{"id":6628,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/posts\/6621\/revisions\/6628"}],"wp:attachment":[{"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/media?parent=6621"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/categories?post=6621"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/zxi.mytechroad.com\/blog\/wp-json\/wp\/v2\/tags?post=6621"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}