Compares two magic squares according to Frenicle's method.
Mnemonic is the old Fortran “.GT.” (for “Greater Than”)
comparison et seq.
To compare magic square a
with magic square b
, their
elements are compared in rowwise order: a[1,1]
is compared with
b[1,1]
, then a[1,2]
with b[1,2]
, up to
a[n,n]
. Consider the first element that is different, say
[i,j]
. Then a<b
if a[i,j]<b[i,j]
.
The generalization to hypercubes is straightforward: comparisons are
carried out natural order.