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039/main.py

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+'''
+If p is the perimeter of a right angle triangle with integral length sides, {a,b,c}, there are exactly three solutions for p = 120.
+
+{20,48,52}, {24,45,51}, {30,40,50}
+
+For which value of p ≤ 1000, is the number of solutions maximised?
+'''
+
+import math
+
+def main():
+    print("Hello this is Patrick")
+
+    ps = [0]*1000
+
+    for a in range(1, 1000):
+        for b in range(1, 1000-a):
+            c2 = a**2 + b**2
+            r = math.sqrt(c2)
+
+            if c2 == int(r + 0.5) ** 2:
+                r = int(r + 0.5)
+                if a + b + r <= 1000:
+                    ps[a + b + r - 1] += 1
+    
+    print(ps.index(max(ps)) + 1)
+
+if __name__ == "__main__":
+    main()