Here is some sample output from jfHW5.py:

(Solution 1):

1 2 4 3 0
3 1 0 4 2
4 0 2 1 3
2 4 3 0 1
0 3 1 2 4

(Solution 2):

1 4 2 3 0
4 1 3 0 2
2 0 4 1 3
3 2 0 4 1
0 3 1 2 4

(Solution 3):

1 0 4 3 2
2 1 3 4 0
4 2 0 1 3
3 4 2 0 1
0 3 1 2 4

(Solution 4):

1 2 0 3 4
4 1 3 0 2
0 3 2 4 1
2 0 4 1 3
3 4 1 2 0

The first row of these four solutions are:

(Sol 1)  1 2 4 3 0
(Sol 2)  1 4 2 3 0
(Sol 3)  1 0 4 3 2
(Sol 4)  1 2 0 3 4

which we check are distinct: one way to see this is to sort
these first rows in "dictionary order" (i.e., "lexicographic order"):

(Sol 3)  1 0 4 3 2
(Sol 4)  1 2 0 3 4
(Sol 1)  1 2 4 3 0
(Sol 2)  1 4 2 3 0

and we see that Sol 3 is before (and not equal to) Sol 4 (in lexicographical
order), and similarly Sol 4 is strictly before Sol 1, and Sol 1 is strictly
before Sol 2.