{"id":35221,"date":"2026-02-28T00:00:29","date_gmt":"2026-02-28T08:00:29","guid":{"rendered":"https:\/\/www.gmpuzzles.com\/blog\/?p=35221"},"modified":"2026-03-04T20:37:05","modified_gmt":"2026-03-05T04:37:05","slug":"killer-difference-ratio-pairs-sudoku-by-philip-newman","status":"publish","type":"post","link":"https:\/\/www.gmpuzzles.com\/blog\/2026\/02\/killer-difference-ratio-pairs-sudoku-by-philip-newman\/","title":{"rendered":"Difference\/Ratio Pairs (Killer) Sudoku by Philip Newman"},"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>One more thematic Difference\/Ratio Pairs puzzle, this time with added Killer cages &#8230; aka Sum Pairs?<\/em><\/p>\n<p align='center'><img src='https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260228-DifferenceRatioPairsKillerSudoku-FourcingATheme.png' alt='Difference\/Ratio Pairs (Killer) Sudoku by Philip Newman' \/><\/p>\n<p align='center'><a href='https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/260228-DifferenceRatioPairsKillerSudoku-FourcingATheme.pdf'>PDF<\/a><\/p>\n<p>or <a href='https:\/\/www.gmpuzzles.com\/s\/260228Four'>solve online<\/a> (using SudokuPad)<\/p>\n<p><b>Theme:<\/b> Fourcing a Theme<\/p>\n<p><b>Author\/Opus:<\/b> This is the 92nd puzzle from Philip Newman, 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). If a white circle is given between two adjacent cells, then the two numbers must have a difference equal to the given number. If a black circle is given between two adjacent cells, then the two numbers must have a ratio equal to the given number. Pairs of cells without circles can have any relationship. Also, the sum of the numbers in each cage must equal the value given in the upper-left corner of that cage.<\/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'>5:44<\/span>; One party hat (\ud83e\udd73): <span style='color: white;background-color: white'>11:44<\/span>. All other solvers earn a \ud83e\udd95: <span style='color: white;background-color: white'>IVth-generation Iuticosaurus<\/span>.<\/p>\n<p><b>Thomas Hits the GAS (highlight to view):<\/b> <span style='color: white;background-color: white'>2:45<\/span>, with <a href='https:\/\/www.gmpuzzles.com\/images\/puzzles2026\/sudokupad-Philip_New-2026_02_28_Fourcing_a_Theme-a877-d166.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\/puzzles2026\/260228-DifferenceRatioPairsKillerSudoku-FourcingATheme-soln.pdf'>PDF<\/a> and <a href='https:\/\/youtu.be\/ghySX564QlM'>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> and this link for <a href='https:\/\/www.gmpuzzles.com\/blog\/tag\/killersudoku\/'>Killer Sudoku<\/a>. More Killer Sudoku puzzles can be found in <a href='https:\/\/shop.gmpuzzles.com\/products\/killer-sudoku'><i>Killer Sudoku<\/i> by Serkan Y\u00fcrekli<\/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.) One more thematic Difference\/Ratio Pairs puzzle, this time with added Killer cages &#8230; aka Sum Pairs? PDF or solve online (using SudokuPad) Theme: Fourcing a Theme Author\/Opus: This is the 92nd puzzle from Philip Newman, part of the Genuinely Approachable Sudoku (GAS) team. Rules: [&hellip;]<\/p>\n","protected":false},"author":442,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[189,3,126],"tags":[8,15,56,237,246],"class_list":["post-35221","post","type-post","status-publish","format-standard","hentry","category-killer-sudoku","category-puzzle","category-othersudoku","tag-sudoku-3","tag-wednesdaythursday","tag-variation-2","tag-gas","tag-killer"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Difference\/Ratio Pairs (Killer) Sudoku by Philip Newman - The Art of Puzzles<\/title>\n<meta name=\"description\" content=\"One more thematic Difference\/Ratio Pairs Sudoku puzzle, this time with added Killer cages... aka Sum Pairs?\" \/>\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\/2026\/02\/killer-difference-ratio-pairs-sudoku-by-philip-newman\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Difference\/Ratio Pairs (Killer) Sudoku by Philip Newman - 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