{"id":100,"date":"2023-08-01T11:15:42","date_gmt":"2023-08-01T09:15:42","guid":{"rendered":"https:\/\/actilud.com\/info\/en\/?p=100"},"modified":"2026-05-29T11:05:23","modified_gmt":"2026-05-29T09:05:23","slug":"total-instruction","status":"publish","type":"post","link":"https:\/\/actilud.com\/info\/en\/total-instruction\/","title":{"rendered":"The TOTAL instruction"},"content":{"rendered":"

\"\"Perform a sum\u00a0 s<\/em> of the items chosen from all<\/em> summable series. At least two are required. The subject is chosen from the remaining\u00a0 series.<\/p>\n

The TOTAL instruction may require waiting until the boxes are more or less filled before using the Booleans. Indeed, it may not be usable from the beginning of the puzzle, because there are too many possibilities. This is the case if it concerns three or more series. In fact, the difficulty level can be programmed.<\/p>\n

To make the solution easier, Booleans are recommended; even if you have to wait a little before using them.<\/p>\n

Summable series: series whose items can be added together because they share the same units.
\nExample: quantity of nuts<\/em> and quantity of apples<\/em> , expressed in kg.
\nNB: on Actilud all<\/em> summable series are assumed to share the same units.<\/h6>\n
\n

Orchard Riddle<\/h4>\n

Colin harvests 70 kg of fruit
\nBerthe harvests 45 kg of fruit
\nDoroth\u00e9e harvests 40 kg of fruit<\/p><\/blockquote>\n

\"\"<\/p>\n

Colin:<\/strong> It’s impossible to code the situation with Booleans because there are too many combinations to obtain 70 kg of fruit. We’ll have to move forward with the puzzle before returning to this statement. We’ve programmed a delayed resolution.<\/em><\/p>\n

Bertha: For Bertha, we can already put <\/strong>false<\/em> signs in certain boxes, but here again, we have to move forward in the puzzle to code the Booleans. We’ve programmed the partial resolution.<\/em><\/p>\n

Dorothy:<\/strong> We can code the puzzle with Booleans from the start because the number of possibilities is limited. We’ve programmed the complete solution.<\/em><\/p>\n

Designer<\/h1>\n

\"\"<\/p>\n

Add up all available summable series and choose a topic from the remaining series. There are three immediate solution choices:<\/p>\n

Coding in the grid:<\/strong><\/p>\n

    \n
  • empty<\/strong>: initially, the instruction is not usable. You must first make progress in solving the grid.<\/li>\n
  • partial<\/strong>: initially, you can begin filling in the grid based on this instruction, at least partially, using false<\/em> symbols or Booleans.<\/li>\n
  • complete<\/strong>: initially, you can immediately fill in the grid with true<\/em> symbols.<\/li>\n<\/ul>\n

    \"\"<\/p>\n

    Isolated: If the instruction operates in isolated mode, the designer does not select rows that already contain signs, including Booleans.<\/p>\n

    \"\"<\/p>\n

    Maximum number of executions of this instruction.<\/p>\n

    Generated formal proposals<\/h2>\n

    z :\u03a3(A, B, \u2026 ,Z)= s
    \nColin: \u03a3(nuts, apples, pears)= 70
    \nBertha: \u03a3(nuts, apples, pears)= 45
    \nDorothy: \u03a3(nuts, apples, pears)= 40<\/p><\/blockquote>\n

    z: subject item
    \nA,B,\u2026Z: headings of the summable series
    \ns: value of the sum in units of A,B,\u2026Z.<\/h6>\n","protected":false},"excerpt":{"rendered":"

    Perform a sum\u00a0 s of the items chosen from all summable series. At least two are required. The subject is chosen from the remaining\u00a0 series. The TOTAL instruction may require waiting until the boxes are more or less filled before using the Booleans. Indeed, it may not be usable from the beginning of the puzzle, […]<\/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-100","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\/100","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=100"}],"version-history":[{"count":7,"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/posts\/100\/revisions"}],"predecessor-version":[{"id":478,"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/posts\/100\/revisions\/478"}],"wp:attachment":[{"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/media?parent=100"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/categories?post=100"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/actilud.com\/info\/en\/wp-json\/wp\/v2\/tags?post=100"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}