{"id":34258,"date":"2025-10-06T00:00:45","date_gmt":"2025-10-06T07:00:45","guid":{"rendered":"https:\/\/www.gmpuzzles.com\/blog\/?p=34258"},"modified":"2025-10-10T10:06:44","modified_gmt":"2025-10-10T17:06:44","slug":"arrow-sequences-sudoku-by-bill-murphy","status":"publish","type":"post","link":"https:\/\/www.gmpuzzles.com\/blog\/2025\/10\/arrow-sequences-sudoku-by-bill-murphy\/","title":{"rendered":"Arrow Sequences 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>Today&#8217;s GAS puzzle focuses on consecutive sequences, with a special rule linking the beginning and end of each arrow. Can you unravel all the connections?<\/em><\/p>\n<p align=\"center\"><img decoding=\"async\" src=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/251006-ArrowSequencesSudoku.png\" alt=\"Arrow Sequences Sudoku by Bill Murphy\" \/><\/p>\n<p align=\"center\"><a href=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/251006-ArrowSequencesSudoku.pdf\">PDF<\/a><\/p>\n<p>or <a href=\"https:\/\/gmpuzzles.com\/s\/251006ArrS\">solve online<\/a> (using SudokuPad)<\/p>\n<p><b>Author\/Opus:<\/b> This is the 41st 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). For each arrow, the number in the circled cell must be one less than the number at the (pointy) end of the arrow. Also, all of the digits along the arrow\u2019s path, not including the circle, must form a sequence of consecutive (i.e., differing by 1) numbers in order with no repeats. The sequence may be either increasing or decreasing on the arrow path.<\/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;\">6:00<\/span>; One party hat (\ud83e\udd73): <span style=\"color: white; background-color: white;\">11:00<\/span>. All other solvers earn a \ud83e\udd95: <span style=\"color: white; background-color: white;\">Onesied Ornithopsis<\/span>.<\/p>\n<p><b>Thomas Hits the GAS (highlight to view):<\/b> <span style=\"color: white; background-color: white;\">1:48<\/span>, with <a href=https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/sudokupad-Bill_Murph-Arrow_Sequences_Sudoku-a683-d136.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\/251006-ArrowSequencesSudoku-soln.pdf\">PDF<\/a> and <a href=\"https:\/\/youtu.be\/2Ku-QeJacdA\">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.) Today&#8217;s GAS puzzle focuses on consecutive sequences, with a special rule linking the beginning and end of each arrow. Can you unravel all the connections? PDF or solve online (using SudokuPad) Author\/Opus: This is the 41st puzzle from Bill Murphy, part of the Genuinely [&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-34258","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>Arrow Sequences Sudoku by Bill Murphy - The Art of Puzzles<\/title>\n<meta name=\"description\" content=\"This Sudoku focuses on consecutive sequences, with an extra rule linking the start and end of each arrow. Can you unravel all the connections?\" \/>\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\/arrow-sequences-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=\"Arrow Sequences Sudoku by Bill Murphy - The Art of Puzzles\" \/>\n<meta property=\"og:description\" content=\"This Sudoku focuses on consecutive sequences, with an extra rule linking the start and end of each arrow. Can you unravel all the connections?\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.gmpuzzles.com\/blog\/2025\/10\/arrow-sequences-sudoku-by-bill-murphy\/\" \/>\n<meta property=\"og:site_name\" content=\"The Art of Puzzles\" \/>\n<meta property=\"article:published_time\" content=\"2025-10-06T07:00:45+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-10-10T17:06:44+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.gmpuzzles.com\/images\/puzzles2025\/251006-ArrowSequencesSudoku.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\\\/arrow-sequences-sudoku-by-bill-murphy\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/arrow-sequences-sudoku-by-bill-murphy\\\/\"},\"author\":{\"name\":\"Bill Murphy\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#\\\/schema\\\/person\\\/552de1c88fa03b2180785f81655f8014\"},\"headline\":\"Arrow Sequences Sudoku by Bill Murphy\",\"datePublished\":\"2025-10-06T07:00:45+00:00\",\"dateModified\":\"2025-10-10T17:06:44+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/arrow-sequences-sudoku-by-bill-murphy\\\/\"},\"wordCount\":263,\"commentCount\":0,\"image\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/arrow-sequences-sudoku-by-bill-murphy\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2025\\\/251006-ArrowSequencesSudoku.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\\\/arrow-sequences-sudoku-by-bill-murphy\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/arrow-sequences-sudoku-by-bill-murphy\\\/\",\"url\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/arrow-sequences-sudoku-by-bill-murphy\\\/\",\"name\":\"Arrow Sequences 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\\\/arrow-sequences-sudoku-by-bill-murphy\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/2025\\\/10\\\/arrow-sequences-sudoku-by-bill-murphy\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.gmpuzzles.com\\\/images\\\/puzzles2025\\\/251006-ArrowSequencesSudoku.png\",\"datePublished\":\"2025-10-06T07:00:45+00:00\",\"dateModified\":\"2025-10-10T17:06:44+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/www.gmpuzzles.com\\\/blog\\\/#\\\/schema\\\/person\\\/552de1c88fa03b2180785f81655f8014\"},\"description\":\"This Sudoku focuses on consecutive sequences, with an extra rule linking the start and end of each arrow. 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