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Sums of squares and stuff. (Posted on 2005-03-26) Difficulty: 3 of 5

Arrange two of each digit (0-9) into a 20 digit long number, which does not begin with a zero, then score your number as follows:

For every 2 digit sequence that forms a perfect square score 2 points, for every 3 digit sequence that forms a perfect square score 3 points. A four digit square would score 4 points, and so on.

For example, if your number was 58738219024971503664, then you would score 2 points each for 49, 36, and 64 and 6 points for 219024 giving a total of 12 points. You may not count 036 as a three digit square.

What is the maximum number of points you can score?

See The Solution Submitted by Erik O.    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
No Subjectbob2005-04-08 22:38:52
Hugo's Solutionartist2005-04-05 22:28:12
I'll stop here.Hugo2005-04-01 14:53:04
Getting closerHugo2005-03-31 12:42:34
What do you do in a boring meeting?Jer2005-03-30 20:10:05
re(3): And some moreHugo2005-03-29 19:49:12
re(3): And some moreJer2005-03-29 19:02:48
re(2): And some moreErik O.2005-03-29 17:47:53
re: 67 can be topped...Jer2005-03-28 19:13:15
67 can be topped...Hugo2005-03-28 19:03:26
I wonder if 67 can be topped...Jer2005-03-28 18:40:24
re: And some moreHugo2005-03-28 17:32:32
And some moreHugo2005-03-27 18:04:49
a few moreLarry2005-03-27 13:51:27
29Larry2005-03-27 02:37:39
A startHugo2005-03-26 22:16:59
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