From cab7c1251605e7b6f4846ca0f5016c4205c1fec2 Mon Sep 17 00:00:00 2001
From: Emmanuel Hernandez <calcetin.izquierdo@gmail.com>
Date: Tue, 31 Jan 2023 14:52:17 -0600
Subject: [PATCH] write function for fast exponentiation in python

---
 .../FastExponentiation/main.py                | 24 +++++++++++++++++++
 1 file changed, 24 insertions(+)
 create mode 100644 Bit-manipulationTechniques/FastExponentiation/main.py

diff --git a/Bit-manipulationTechniques/FastExponentiation/main.py b/Bit-manipulationTechniques/FastExponentiation/main.py
new file mode 100644
index 0000000..203adf2
--- /dev/null
+++ b/Bit-manipulationTechniques/FastExponentiation/main.py
@@ -0,0 +1,24 @@
+def fast_exponentiation(a: int, n: int):
+    ans = 1
+
+    while n > 0:
+        last_bit = n & 1
+
+        if last_bit:
+            ans *= a
+
+        a *= a
+        n = n >> 1
+
+    return ans
+
+
+def main():
+    a = int(input())
+    n = int(input())
+
+    print(fast_exponentiation(a, n))
+
+
+if __name__ == "__main__":
+    main()