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problems/009_problem/009_problem.py

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+# #  Problem 9:
+# 
+# [Euler Project #9](https://projecteuler.net/problem=9)
+# 
+# 
+# 
+# >A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,
+# a2 + b2 = c2
+# 
+# >For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.
+# 
+# >There exists exactly one Pythagorean triplet for which a + b + c = 1000.
+# Find the product abc.
+# 
+# 
+# 
+# ---
+import os
+import pprint
+import time  # Typically imported for sleep function, to slow down execution in terminal.
+import typing
+import decorators  # Typically imported to compute execution duration of functions.
+import math
+import numpy
+
+def get_c(a,b):
+    c = math.sqrt(a*a+b*b)
+    return c
+
+def check_constraint(a,b,c,limit):
+    return (a+b+c)==limit
+
+exit=False
+for a in range(1,1000):
+    for b in range(a,1000):
+        c = get_c(a,b)
+        if check_constraint(a,b,c,1000):
+            #print(a,b,c)
+            #print(not_done)
+            exit=True
+            break
+    if exit:
+        break
+print(a,b,c,a+b+c,a*b*c)