# euler

git clone git://git.codymlewis.com/euler.git
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```commit cb81a9cc0edcd47c34d1af1702dbb7b9fd0f4b38
parent 6f3da943c068f7bc7d8e43d0e3a5c4f653a5cee2
Author: Cody Lewis <luxdotsugi@gmail.com>
Date:   Sun, 18 Nov 2018 18:30:27 +1100

Solution to problem 9

Diffstat:
ANine.py | 28++++++++++++++++++++++++++++
```
```1 file changed, 28 insertions(+), 0 deletions(-)
diff --git a/Nine.py b/Nine.py
@@ -0,0 +1,28 @@
+'''
+A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,
+
+a^2 + b^2 = c^2
+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.
+'''
+
+
+def find_triplet_product():
+    a = 1
+    b = 1
+    c = 1000 - (a + b)
+    while a < c:
+        while c > 0:
+            if (a**2 + b**2) == c**2:
+                return a * b * c
+            b += 1
+            c -= 1
+        a += 1
+        b = a
+        c = 1000 - (a + b)
+    return -1
+
+if __name__ == "__main__":
+    print(f"The product of the Pythagorean triplet fitting a + b + c = 1000 is {find_triplet_product()}")
```