From 51e8456e9be682fe4dd526185bc4c955fb179ad9 Mon Sep 17 00:00:00 2001
From: Lauchmelder23 <Robert-Altner@t-online.de>
Date: Tue, 9 Oct 2018 21:58:45 +0200
Subject: [PATCH] Added Problem 9

---
 Problem_9.py | 21 +++++++++++++++++++++
 1 file changed, 21 insertions(+)
 create mode 100644 Problem_9.py

diff --git a/Problem_9.py b/Problem_9.py
new file mode 100644
index 0000000..2f534da
--- /dev/null
+++ b/Problem_9.py
@@ -0,0 +1,21 @@
+######################################################################
+# A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,
+#
+# a² + b² = c²
+# For example, 3² + 4² = 9 + 16 = 25 = 5².
+#
+# There exists exactly one Pythagorean triplet for which a + b + c = 1000.
+# Find the product abc.
+#
+######################################################################
+
+for a in range(1, 1000):
+    for b in range(1, 1000 - a):
+        c = 1000 - a - b
+
+        if pow(a, 2) + pow(b, 2) == pow(c, 2):
+            print(a*b*c)
+            exit()
+
+
+# Solution: 31875000