{"id":34315,"date":"2025-10-15T00:00:33","date_gmt":"2025-10-15T07:00:33","guid":{"rendered":"https:\/\/www.gmpuzzles.com\/blog\/?p=34315"},"modified":"2025-10-16T15:09:39","modified_gmt":"2025-10-16T22:09:39","slug":"serbian-frame-sudoku-by-bill-murphy","status":"publish","type":"post","link":"https:\/\/www.gmpuzzles.com\/blog\/2025\/10\/serbian-frame-sudoku-by-bill-murphy\/","title":{"rendered":"Serbian Frame Sudoku by Bill Murphy"},"content":{"rendered":"<p>(This post is part of the <a href=\"https:\/\/www.gmpuzzles.com\/blog\/tag\/gas\/\">Genuinely Approachable Sudoku (GAS)<\/a> series.)<br \/>\n<em>This outside clue puzzle style uses different sets of paired cells to indicate sum constraints. Can you figure out all the arithmetic to get back to Sudoku logic?<\/em><\/p>\n<p align=\"center\"><img decoding=\"async\" src=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/251015-SerbianFrameSudoku.png\" alt=\"Serbian Frame Sudoku by Bill Murphy\" \/><\/p>\n<p align=\"center\"><a href=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/251015-SerbianFrameSudoku.pdf\">PDF<\/a><\/p>\n<p>or <a href=\"https:\/\/gmpuzzles.com\/s\/251015Serb\">solve online<\/a> (using SudokuPad)<\/p>\n<p><b>Author\/Opus:<\/b> This is the 44th puzzle from Bill Murphy, part of the Genuinely Approachable Sudoku (<a href=\"https:\/\/sudokutheory.com\/gas\/\">GAS<\/a>) team.<\/p>\n<p><b>Rules:<\/b> Standard Sudoku rules (insert a number from 1 to 9 into each cell so that no number repeats in any row, column, or bold region). Clues to the left and right of the grid indicate the sum of the values in the second and third cells seen in that direction; these pairs of cells are also marked by white dots. Clues to the top and bottom of the grid indicate the sum of the values in the third and fourth cells seen in that direction; these pairs of cells are also marked by gray dots.<\/p>\n<p><b>GAS Time Standards (highlight to view):<\/b> Two party hats (\ud83c\udfa9\ud83e\udd73): <span style=\"color: white; background-color: white;\">7:00<\/span>; One party hat (\ud83e\udd73): <span style=\"color: white; background-color: white;\">13:00<\/span>. All other solvers earn a \ud83e\udd95: <span style=\"color: white; background-color: white;\">Additive Aragosaurus<\/span>.<\/p>\n<p><b>Thomas Hits the GAS (highlight to view):<\/b> <span style=\"color: white; background-color: white;\">2:37<\/span>, with <a href=https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/sudokupad-Bill_Murph-Serbian_Frame-a872-d158.replay>SudokuPad replay file<\/a> shared as a download for now (requires loading via settings menu with improvements expected before people should use this regularly).<\/p>\n<p><b>Solution:<\/b> <a href=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/251015-SerbianFrameSudoku-soln.pdf\">PDF<\/a> and <a href=\"https:\/\/youtu.be\/qG_L2WbDycE\">solving video<\/a> with explanation from GAS team.<\/p>\n<p><b>Note:<\/b> Follow this link for other less common variations of <a href=\"https:\/\/www.gmpuzzles.com\/blog\/tag\/sudoku-3+variation-2\/\">Sudoku<\/a>.<\/p>\n<p><b>Note 2:<\/b>\u00a0Comments on the blog are great! For a more interactive discussion, please also consider using our\u00a0<a href=\"https:\/\/discord.com\/channels\/1059513302847336469\/1380897111599616020\">Daily GAS discussion<\/a>\u00a0post\u00a0on the GMPuzzles Discord. Not a member of the Discord? Click\u00a0<a href=\"https:\/\/discord.gg\/RNNfEBEbQS\">this link<\/a>\u00a0for basic access.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>(This post is part of the Genuinely Approachable Sudoku (GAS) series.) This outside clue puzzle style uses different sets of paired cells to indicate sum constraints. Can you figure out all the arithmetic to get back to Sudoku logic? PDF or solve online (using SudokuPad) Author\/Opus: This is the 44th puzzle from Bill Murphy, part [&hellip;]<\/p>\n","protected":false},"author":443,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3,126],"tags":[8,15,56,237],"class_list":["post-34315","post","type-post","status-publish","format-standard","hentry","category-puzzle","category-othersudoku","tag-sudoku-3","tag-wednesdaythursday","tag-variation-2","tag-gas"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Serbian Frame Sudoku by Bill Murphy - The Art of Puzzles<\/title>\n<meta name=\"description\" content=\"This outside clue variation uses different sets of paired cells for sum constraints. Can you figure out the arithmetic and return to Sudoku?\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.gmpuzzles.com\/blog\/2025\/10\/serbian-frame-sudoku-by-bill-murphy\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Serbian Frame Sudoku by Bill Murphy - The Art of Puzzles\" \/>\n<meta property=\"og:description\" content=\"This outside clue variation uses different sets of paired cells for sum constraints. Can you figure out the arithmetic and return to Sudoku?\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.gmpuzzles.com\/blog\/2025\/10\/serbian-frame-sudoku-by-bill-murphy\/\" \/>\n<meta property=\"og:site_name\" content=\"The Art of Puzzles\" \/>\n<meta property=\"article:published_time\" content=\"2025-10-15T07:00:33+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-10-16T22:09:39+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/251015-SerbianFrameSudoku.png\" \/>\n<meta name=\"author\" content=\"Bill Murphy\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@drsudoku\" \/>\n<meta name=\"twitter:site\" content=\"@drsudoku\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Bill Murphy\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/serbian-frame-sudoku-by-bill-murphy\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/serbian-frame-sudoku-by-bill-murphy\\\/\"},\"author\":{\"name\":\"Bill Murphy\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#\\\/schema\\\/person\\\/552de1c88fa03b2180785f81655f8014\"},\"headline\":\"Serbian Frame Sudoku by Bill Murphy\",\"datePublished\":\"2025-10-15T07:00:33+00:00\",\"dateModified\":\"2025-10-16T22:09:39+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/serbian-frame-sudoku-by-bill-murphy\\\/\"},\"wordCount\":271,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/serbian-frame-sudoku-by-bill-murphy\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2025\\\/251015-SerbianFrameSudoku.png\",\"keywords\":[\"sudoku\",\"wed\\\/thurs\",\"variation\",\"gas\"],\"articleSection\":[\"Puzzle\",\"Other Sudoku\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/serbian-frame-sudoku-by-bill-murphy\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/serbian-frame-sudoku-by-bill-murphy\\\/\",\"url\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/serbian-frame-sudoku-by-bill-murphy\\\/\",\"name\":\"Serbian Frame Sudoku by Bill Murphy - The Art of Puzzles\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/serbian-frame-sudoku-by-bill-murphy\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/serbian-frame-sudoku-by-bill-murphy\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2025\\\/251015-SerbianFrameSudoku.png\",\"datePublished\":\"2025-10-15T07:00:33+00:00\",\"dateModified\":\"2025-10-16T22:09:39+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#\\\/schema\\\/person\\\/552de1c88fa03b2180785f81655f8014\"},\"description\":\"This outside clue variation uses different sets of paired cells for sum constraints. 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