{"id":75,"date":"2023-08-21T10:00:56","date_gmt":"2023-08-21T08:00:56","guid":{"rendered":"https:\/\/actilud.com\/info\/en\/?p=75"},"modified":"2025-03-29T11:54:56","modified_gmt":"2025-03-29T10:54:56","slug":"threshold-instruction","status":"publish","type":"post","link":"https:\/\/actilud.com\/info\/en\/threshold-instruction\/","title":{"rendered":"The THRESHOLD instruction"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-697 alignleft\" src=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/icone_agregat.png\" sizes=\"auto, (min-width: 960px) 75vw, 100vw\" srcset=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/icone_agregat.png 200w, https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/icone_agregat-150x150.png 150w\" alt=\"\" width=\"85\" height=\"85\" data-src=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/icone_agregat.png\" data-srcset=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/icone_agregat.png 200w, https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/icone_agregat-150x150.png 150w\" data-sizes=\"(min-width: 960px) 75vw, 100vw\" \/><em>The threshold<\/em> instruction compares a subject to a value in an ordered series. It randomly sets a threshold in the series, beyond which values \u200b\u200bare false.<\/p>\n<p>This is an easy instruction, recommended for simple zebra puzzles. To use it, at least one ordered series is required. The <em>threshold<\/em> instruction does not require the series to be regular.<\/p>\n<h6>Ordered series: series containing values that are all increasing or all decreasing.<br \/>\nRegular ordered series: increasing or decreasing series whose values are separated by the same interval. The ranking of competitors is a regular increasing series, with interval +1.<\/h6>\n<blockquote><p>Alice arrives before the third.<br \/>\nBob arrives after the second.<br \/>\nThe red jersey arrives after the third.<br \/>\nThe competitor who drinks lemon juice arrives before the fourth.<\/p><\/blockquote>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-704 aligncenter\" src=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme.png\" sizes=\"auto, (min-width: 960px) 75vw, 100vw\" srcset=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme.png 354w, https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme-123x300.png 123w, https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme-196x480.png 196w\" alt=\"\" width=\"201\" height=\"491\" data-src=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme.png\" data-srcset=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme.png 354w, https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme-123x300.png 123w, https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme-196x480.png 196w\" data-sizes=\"(min-width: 960px) 75vw, 100vw\" \/><\/p>\n<p>In this example, all rows containing <em>false<\/em> signs are rows, but they can also be columns.<\/p>\n<h1>Designer<\/h1>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-708\" src=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme-1.png\" sizes=\"auto, (min-width: 960px) 75vw, 100vw\" srcset=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme-1.png 316w, https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme-1-300x64.png 300w\" alt=\"\" width=\"316\" height=\"67\" data-src=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme-1.png\" data-srcset=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme-1.png 316w, https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/integramme-1-300x64.png 300w\" data-sizes=\"auto, (min-width: 960px) 75vw, 100vw\" \/><\/p>\n<p>Randomly selects an ordered series, an item <em>s<\/em> forming a threshold in this series, and an item <em>a<\/em> which will apply this threshold.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-687 alignleft\" src=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/isole.png\" alt=\"\" width=\"40\" height=\"40\" data-src=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/isole.png\" \/><\/p>\n<p>If the instruction operates in isolated mode, the designer does not select rows that already contain signs, including Booleans.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-688 alignleft\" src=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/maximum.png\" alt=\"\" width=\"35\" height=\"35\" data-src=\"https:\/\/actilud.com\/info\/wp-content\/uploads\/2023\/08\/maximum.png\" \/><\/p>\n<p>Maximum number of executions of this instruction.<\/p>\n<h2>Generated formal proposals<\/h2>\n<blockquote><p>a &lt; s<br \/>\na &gt; s<\/p><\/blockquote>\n<h6>a: item, s: item forming a threshold<\/h6>\n","protected":false},"excerpt":{"rendered":"<p>The threshold instruction compares a subject to a value in an ordered series. It randomly sets a threshold in the series, beyond which values \u200b\u200bare false. This is an easy instruction, recommended for simple zebra puzzles. To use it, at least one ordered series is required. The threshold instruction does not require the series to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[],"class_list":["post-75","post","type-post","status-publish","format-standard","hentry","category-zebra-puzzles-glossary-of-programming-instructions"],"_links":{"self":[{"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/posts\/75","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/comments?post=75"}],"version-history":[{"count":2,"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/posts\/75\/revisions"}],"predecessor-version":[{"id":107,"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/posts\/75\/revisions\/107"}],"wp:attachment":[{"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/media?parent=75"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/categories?post=75"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/tags?post=75"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}