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?

53 points with 529874361 529874361 00
points square
11      52987436100      230190^2
9        529874361         23019^2
9        529874361         23019^2
5        36100                190^2
3        529                   23^2   
3        529                   23^2
3        361                   19^2
3        361                   19^2
3        100                   10^2
2        36                     6^2
2        36                     6^2

Posted by Hugo on 2005-03-27 18:04:49