From 7a1c4b0d7d3bbb202a3a2ee8d430eb15290c0eeb Mon Sep 17 00:00:00 2001
From: Pranay Chauhan <52269813+PranayChauhan2516@users.noreply.github.com>
Date: Tue, 5 Oct 2021 16:29:09 +0530
Subject: [PATCH] Add Binary Exponentiation (#2359)

---
 DivideAndConquer/BinaryExponentiation.java | 16 ++++++++++++++++
 1 file changed, 16 insertions(+)
 create mode 100644 DivideAndConquer/BinaryExponentiation.java

diff --git a/DivideAndConquer/BinaryExponentiation.java b/DivideAndConquer/BinaryExponentiation.java
new file mode 100644
index 000000000..b5844b8d9
--- /dev/null
+++ b/DivideAndConquer/BinaryExponentiation.java
@@ -0,0 +1,16 @@
+public class BinaryExponentiation {
+
+    public static void main(String args[]) {
+        System.out.println(calculatePower(2, 30));
+    }
+
+    // Function to calculate x^y
+    // Time Complexity: O(logn)
+    public static long calculatePower(long x, long y) {
+        if (y == 0) return 1;
+        long val = calculatePower(x, y / 2);
+        val *= val;
+        if (y % 2 == 1) val *= x;
+        return val;
+    }
+}