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authorReiner Herrmann <reiner@reiner-h.de>2014-08-31 20:21:45 +0200
committerReiner Herrmann <reiner@reiner-h.de>2014-08-31 20:35:09 +0200
commit95341b61b030c9e1290f3b326cb7ec584f543aea (patch)
tree852386fa04d32eb859bca11c0eff7b5ef9e50f00 /075.py
parent571164d977f91925c4c76a292f74f5f93d09ae23 (diff)
moved files to higher directory after split to new repositoryHEADtrunk
Diffstat (limited to '075.py')
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+# generating Pythagorean triplets
+
+limit = 1500000
+limit_search = 900
+squares = [ x*x for x in xrange(limit) ]
+triangles = [ set() for x in xrange(limit+1) ]
+
+
+for m in xrange(1, limit_search):
+ for n in xrange(1, m):
+ (a,b,c) = (squares[m] - squares[n], 2*m*n, squares[m] + squares[n])
+ if a > b:
+ (a,b,c) = (b,a,c)
+
+ k = 1
+ while True:
+ if k*(a+b+c) > limit:
+ break
+ triangles[k*a + k*b + k*c].add((k*a,k*b,k*c))
+ k += 1
+
+
+count = 0
+for t in triangles:
+ if len(t) == 1:
+ count += 1
+
+print count
+