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{"id":7784,"date":"2015-03-09T07:53:57","date_gmt":"2015-03-09T13:53:57","guid":{"rendered":"http:\/\/kenscourses.com\/tc101winter2015\/?page_id=7784"},"modified":"2015-03-13T11:10:24","modified_gmt":"2015-03-13T17:10:24","slug":"wsq11-yo-soy-196","status":"publish","type":"page","link":"https:\/\/kenscourses.com\/tc101winter2015\/course-home-page-for-tc1014\/wsqs-tc1014\/wsq11-yo-soy-196\/","title":{"rendered":"WSQ11 – Yo Soy 196"},"content":{"rendered":"

Background<\/h2>\n
\"creative<\/a>

creative commons licensed (BY-NC-ND) flickr photo by K & P: http:\/\/flickr.com\/photos\/kenandpauline\/5490820<\/p><\/div>\n

Lychrel numbers are natural numbers that do not form a palindrome after successive additions to their inverse. See details on Wikipedia: http:\/\/en.wikipedia.org\/wiki\/Lychrel_number<\/a><\/p>\n

What to Do<\/h2>\n

Your jobs is to create a program that asks the user for two pieces of data:<\/p>\n

    \n
  • The lower bound of the sequence<\/li>\n
  • The upper bound of the sequence<\/li>\n<\/ul>\n
    Then you check the values from the lower bound (inclusive) to the upper bound (inclusive) and make a report of them. During the analysis of each number, if a Lychrel number is found it should be reported immediately with something like “Found a Lychrel number: 196”<\/div>\n

    Details<\/h2>\n
    The report must show:<\/div>\n
    \n
      \n
    • The range of numbers analysed (lower to upper bound)<\/li>\n
    • The number of natural palindromes (no addition to inverse needed)<\/li>\n
    • The number of non-Lycherels encountered (become palindromes)<\/li>\n
    • The number of Lycherel number candidates (that did not converge to palindrome)<\/li>\n<\/ul>\n<\/div>\n

      Since you will not be able to prove that a number is Lycherel (since you cannot computer forever to check), our definition for a Lycherel candidate will be if a number does not converge after 30 iterations of applying the addition to the inverse.<\/p>\n

      Videos<\/h2>\n