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wu :: forums    riddles    easy (Moderators: SMQ, Eigenray, ThudnBlunder, towr, Icarus, william wu, Grimbal)    abcbaaaba and perfect square puzzle « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: abcbaaaba and perfect square puzzle  (Read 600 times) K Sengupta Senior Riddler     Gender: Posts: 371 abcbaaaba and perfect square puzzle   « on: Apr 23rd, 2009, 6:25am » Quote Modify Determine the minimum value of a perfect square  having the form abcbaaaba, where each of a, b and c represents a different decimal digit from 0 to 9, and a is nonzero. IP Logged Grimbal wu::riddles Moderator Uberpuzzler     Gender: Posts: 7527 Re: abcbaaaba and perfect square puzzle   « Reply #1 on: Apr 23rd, 2009, 7:51am » Quote Modify a=1 c=8 b=+   IP Logged towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: abcbaaaba and perfect square puzzle   « Reply #2 on: Apr 23rd, 2009, 8:31am » Quote Modify on Apr 23rd, 2009, 7:51am, Grimbal wrote: a=1 c=8 b=+   Now if only + was a decimal digit IP Logged Wikipedia, Google, Mathworld, Integer sequence DB Peterman Newbie     Posts: 7 Re: abcbaaaba and perfect square puzzle   « Reply #3 on: Apr 23rd, 2009, 10:28am » Quote Modify There is only one: hidden: a=1,b=6,c=5 IP Logged towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: abcbaaaba and perfect square puzzle   « Reply #4 on: Apr 23rd, 2009, 11:15am » Quote Modify Did you just do a computer search? Or did you have a more clever way to find it? IP Logged Wikipedia, Google, Mathworld, Integer sequence DB Peterman Newbie     Posts: 7 Re: abcbaaaba and perfect square puzzle   « Reply #5 on: May 6th, 2009, 7:11am » Quote Modify There are only nine possible endings of the form ..xxYx, viz 1121, 1161, 4404, 4464, 4484, 6656, 6676, 9929, 9969. But it was in fact much quicker to just do the search; there are only just over 21,000 possible values of the square root and a program only takes a minute or so to write. IP Logged Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------=> easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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