{"id":640,"date":"2018-06-24T14:28:45","date_gmt":"2018-06-24T18:28:45","guid":{"rendered":"http:\/\/www.blogs.euni.org\/?p=640"},"modified":"2018-06-24T14:28:45","modified_gmt":"2018-06-24T18:28:45","slug":"the-multilevel-town","status":"publish","type":"post","link":"https:\/\/www.blogs.euni.org\/?p=640","title":{"rendered":"The Multilevel Town"},"content":{"rendered":"<p>Some years ago, there was a town called Blarneystone with a population of 25,000, whose mayor Seamus O\u2019Shaugnessy instituted an identification system for the inhabitants that was based on their initials.<\/p>\n<p>Residents might have from one to three given names, and when it occurred that two people had the same initials one of them was moved to a higher administrative level of the town named Blarneystone-2.<\/p>\n<p>Seamus O\u2019Shaugnessy\u2019s portly wife Marybelle was in charge of administrating the initials system.<\/p>\n<p>Seamus O\u2019Shaugnessy wanted to preserve order in the initials system and was prepared to go to any level of Blarneystone-n necessary for this purpose.<\/p>\n<p><em>What would you say was the minimum number of persons living in Blarneystone-1 with three given names? <\/em><\/p>\n<p><em>At the time, Blarneystone 2 had 1000 residents. How many of them had two given names?<\/em><\/p>\n<p><em>What would be the minimum number of persons needed to start a new level of Blarneystone?<\/em><\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-640\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=640&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-640\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=640&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-640\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=640&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=640&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>Some years ago, there was a town called Blarneystone with a population of 25,000, whose mayor Seamus O\u2019Shaugnessy instituted an identification system for the inhabitants that was based on their initials. Residents might have from one to three given names, and when it occurred that two people had the same initials one of them was [&hellip;]<\/p>\n<div class=\"sharedaddy sd-sharing-enabled\"><div class=\"robots-nocontent sd-block sd-social sd-social-icon sd-sharing\"><h3 class=\"sd-title\">Share this:<\/h3><div class=\"sd-content\"><ul><li class=\"share-twitter\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-twitter-640\" class=\"share-twitter sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=640&amp;share=twitter\" target=\"_blank\" title=\"Click to share on Twitter\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Twitter (Opens in new window)<\/span><\/a><\/li><li class=\"share-facebook\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-facebook-640\" class=\"share-facebook sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=640&amp;share=facebook\" target=\"_blank\" title=\"Click to share on Facebook\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on Facebook (Opens in new window)<\/span><\/a><\/li><li class=\"share-linkedin\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"sharing-linkedin-640\" class=\"share-linkedin sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=640&amp;share=linkedin\" target=\"_blank\" title=\"Click to share on LinkedIn\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on LinkedIn (Opens in new window)<\/span><\/a><\/li><li class=\"share-jetpack-whatsapp\"><a rel=\"nofollow noopener noreferrer\" data-shared=\"\" class=\"share-jetpack-whatsapp sd-button share-icon no-text\" href=\"https:\/\/www.blogs.euni.org\/?p=640&amp;share=jetpack-whatsapp\" target=\"_blank\" title=\"Click to share on WhatsApp\"><span><\/span><span class=\"sharing-screen-reader-text\">Click to share on WhatsApp (Opens in new window)<\/span><\/a><\/li><li class=\"share-end\"><\/li><\/ul><\/div><\/div><\/div>","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false},"categories":[29],"tags":[198,197],"jetpack_featured_media_url":"","jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7zDaf-ak","jetpack-related-posts":[{"id":900,"url":"https:\/\/www.blogs.euni.org\/?p=900","url_meta":{"origin":640,"position":0},"title":"The Dice Club Game","date":"April 27, 2019","format":false,"excerpt":"One Saturday afternoon, as Jack, now a full-fledged member, entered the Snake Eyes Dice Club in River City, he saw four persons throwing dice at a felt-covered table with Vince, the dealer. \u201cWhat\u2019s up today, Vince?\u201d asked Jack. \u201cLet me introduce you to Simon, Mary, Seamus and Henry here,\u201d said\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":654,"url":"https:\/\/www.blogs.euni.org\/?p=654","url_meta":{"origin":640,"position":1},"title":"The Date Lineup","date":"July 25, 2018","format":false,"excerpt":"Wilbur went to a dating club one Saturday evening to pick up a date for dinner. As he entered The Quick Date Club, he saw what he wanted: a tall brunette with a shapely figure. She had the name Alice displayed on a badge dangling from a well-filled blouse. The\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":644,"url":"https:\/\/www.blogs.euni.org\/?p=644","url_meta":{"origin":640,"position":2},"title":"The Winning Seats","date":"June 28, 2018","format":false,"excerpt":"The McDuffy Travel Agency was offering special prizes for vacationers to improve its turnover. The advertising stated that the prizes would be determined on the airport bus. One day there were fifteen vacationers going to the Caribbean island of Buena Siesta for a two week holiday at the Balmy Breezes\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":64,"url":"https:\/\/www.blogs.euni.org\/?p=64","url_meta":{"origin":640,"position":3},"title":"Einstein's Balls","date":"May 16, 2016","format":false,"excerpt":"Supposedly Einstein solved this problem in three minutes. It might take you longer. You are given 12 balls and told that one of them has a different weight, whether lighter or heavier. With three weighings using any scale you are to locate this ball. Patience is a virtue. Good luck!","rel":"","context":"In &quot;Anecdotes&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":270,"url":"https:\/\/www.blogs.euni.org\/?p=270","url_meta":{"origin":640,"position":4},"title":"The Magic Number","date":"November 26, 2016","format":false,"excerpt":"Manu, a king in a long-forgotten land called Lemuria, that flourished prior to recorded history, had a nubile daughter named Lailai he decided to marry off to someone brave and intelligent to ensure his lineage would continue with prosperity. So he had a proclamation posted on all trees and buildings\u2026","rel":"","context":"In &quot;Number Theory&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":311,"url":"https:\/\/www.blogs.euni.org\/?p=311","url_meta":{"origin":640,"position":5},"title":"Shopping for Wine","date":"January 23, 2017","format":false,"excerpt":"Fred, Marcus and Seamour and their wives went to a winery to buy bottles of wine for a party they would be holding for family and friends. The wives\u2019 names were Gracie, Mabel and Lucy, not respectively. Both the husbands and the wives bought the same number of bottles as\u2026","rel":"","context":"In &quot;Algebra&quot;","img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/640"}],"collection":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=640"}],"version-history":[{"count":2,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/640\/revisions"}],"predecessor-version":[{"id":642,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=\/wp\/v2\/posts\/640\/revisions\/642"}],"wp:attachment":[{"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=640"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=640"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.blogs.euni.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=640"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}