Solved 39

problem39.py

@@ -0,0 +1,37 @@
+#!/usr/bin/env python
+from math import sqrt
+
+def euclid(m, n):
+    mq = m ** 2
+    nq = n ** 2
+    return mq - nq, 2 * m * n, mq + nq
+
+def hist(maxp):
+    hist = [set() for i in xrange(maxp+1)]
+
+    for m in xrange(2, int(sqrt(maxp))):
+        for n in xrange(1, m):
+            a, b, c = oa, ob, oc = euclid(m, n)
+            k = 1
+
+            while True:
+                p = a + b + c
+
+                if p > maxp:
+                    break
+
+                hist[p].add(tuple(sorted((a, b))) + (c,))
+                k += 1
+                a += oa
+                b += ob
+                c += oc
+
+    return hist
+
+maxp = maxs = 0
+
+for p, s in enumerate(hist(1000)):
+    if len(s) >= maxs:
+        maxp, maxs = p, len(s)
+
+print maxp