{"id":20112,"date":"2022-11-08T18:55:13","date_gmt":"2022-11-08T13:25:13","guid":{"rendered":"https:\/\/jassweb.com\/solved\/solved-implementing-extended-euclidean-algorithm\/"},"modified":"2022-11-08T18:55:13","modified_gmt":"2022-11-08T13:25:13","slug":"solved-implementing-extended-euclidean-algorithm","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-implementing-extended-euclidean-algorithm\/","title":{"rendered":"[Solved] Implementing Extended Euclidean algorithm"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"answer-36583247\" class=\"answer js-answer accepted-answer js-accepted-answer\" data-answerid=\"36583247\" data-parentid=\"36582754\" data-score=\"0\" data-position-on-page=\"1\" data-highest-scored=\"1\" data-question-has-accepted-highest-score=\"1\" itemprop=\"acceptedAnswer\" itemscope itemtype=\"https:\/\/schema.org\/Answer\">\n<div class=\"post-layout\">\n<div class=\"votecell post-layout--left\"><\/div>\n<div class=\"answercell post-layout--right\">\n<div class=\"s-prose js-post-body\" itemprop=\"text\">\n<p>I think you might be looking for something like this:<\/p>\n<pre><code>combine :: Int -&gt;Int -&gt; (Int,Int,Int)\ncombine n m = (x1, y1, gcd n m) where\n  (x1, y1) = gcdext n m\n\ngcdext :: Int -&gt; Int -&gt; (Int, Int)\ngcdext n m = gcdexthelper n m 1 0 0 1 where\n  gcdexthelper n m x1 y1 x2 y2 \n   | m == 0 = (x1, y1)\n   | otherwise = gcdexthelper m r x1p y1p x2p y2p where\n     q = div n m\n     r = mod n m\n     x1p = x2\n     y1p = y2\n     x2p = x1 - q * x2\n     y2p = y1 - q * y2\n<\/code><\/pre>\n<p>You can of course implement the same with a <code>while<\/code> loop, but I believe recursion is much more readable in Haskell, so I used it here.<\/p>\n<p>And by the way, GCD is a standard library function in Haskell, so no need to write your own.<\/p>\n<\/p><\/div>\n<div class=\"mt24\"><\/div>\n<\/div>\n<p>            <span class=\"d-none\" itemprop=\"commentCount\">2<\/span> <\/p><\/div>\n<\/div>\n<p>[ad_2]<\/p>\n<p>solved Implementing Extended Euclidean algorithm <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] I think you might be looking for something like this: combine :: Int -&gt;Int -&gt; (Int,Int,Int) combine n m = (x1, y1, gcd n m) where (x1, y1) = gcdext n m gcdext :: Int -&gt; Int -&gt; (Int, Int) gcdext n m = gcdexthelper n m 1 0 0 1 where gcdexthelper n &#8230; <a title=\"[Solved] Implementing Extended Euclidean algorithm\" class=\"read-more\" href=\"https:\/\/jassweb.com\/solved\/solved-implementing-extended-euclidean-algorithm\/\" aria-label=\"More on [Solved] Implementing Extended Euclidean algorithm\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[320],"tags":[413,2309,1150],"class_list":["post-20112","post","type-post","status-publish","format-standard","hentry","category-solved","tag-function","tag-greatest-common-divisor","tag-haskell"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>[Solved] Implementing Extended Euclidean algorithm - JassWeb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jassweb.com\/solved\/solved-implementing-extended-euclidean-algorithm\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Solved] Implementing Extended Euclidean algorithm - JassWeb\" \/>\n<meta property=\"og:description\" content=\"[ad_1] I think you might be looking for something like this: combine :: Int -&gt;Int -&gt; (Int,Int,Int) combine n m = (x1, y1, gcd n m) where (x1, y1) = gcdext n m gcdext :: Int -&gt; Int -&gt; (Int, Int) gcdext n m = gcdexthelper n m 1 0 0 1 where gcdexthelper n ... 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