An arithmetic progression is a sequence of the form a, a+b, a+2b, ..., a+nb
where n=0,1,2,3,... . For this problem, a is a non-negative integer and b is a
positive integer.
Write a program that finds all arithmetic progressions of length n in the set
S of bisquares. The set of bisquares is defined as the set of all integers of
the form p2 + q2 (where p and q are non-negative
integers).
If no sequence is found, a singe line reading `NONE'. Otherwise, output one
or more lines, each with two integers: the first element in a found sequence and
the difference between consecutive elements in the same sequence. The lines
should be ordered with smallest-difference sequences first and smallest starting
number within those sequences first.
There will be no more than 10,000 sequences.