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?

81936186497225003457

81      2
1936  4
36      2
361    3
8649  4
64      2
49      2
7225   4
25      2
225     3
2500   4
-----
edited when I realized that 22500 is 150^2  and 722500 is 850^2
so add:
22500 5
722500  6

Now it's up to 43 points

Edited on March 27, 2005, 5:08 am

Edited on March 27, 2005, 5:19 am

Edited on March 27, 2005, 5:25 am

Posted by Larry on 2005-03-27 02:37:39