From ef7bb7ac86d3dfc89f6ddb7b5df0e8f10a89c0a2 Mon Sep 17 00:00:00 2001
From: Ananya Pathak <54628162+ana-pat@users.noreply.github.com>
Date: Mon, 25 Oct 2021 14:21:02 +0530
Subject: [PATCH] Kasturba.java

Implements Kasturba Algorithm for Matrix Multiplication
---
 Kasturba.java | 58 +++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 58 insertions(+)
 create mode 100644 Kasturba.java

diff --git a/Kasturba.java b/Kasturba.java
new file mode 100644
index 0000000..78b4eae
--- /dev/null
+++ b/Kasturba.java
@@ -0,0 +1,58 @@
+/*
+Karatsuba Algorithm for matrix multiplication.
+*/
+
+import java.util.*;
+
+
+public class KaratsubaAlgo{
+
+
+
+long karatsuba(long X, long Y){
+        
+        if(X<10 && Y<10){
+	        return X*Y;
+	    }
+        
+        
+        int size = Math.max((Long.toString(X)).length(), (Long.toString(Y)).length());
+        
+        
+        int n = (int)Math.ceil(size/2.0);
+        long p = (long)Math.pow(10,n);
+        long a = (long)Math.floor(X/(double)p);
+        long b = X%p;
+        long c = (long)Math.floor(Y/(double)p);
+        long d = Y%p;
+        
+        
+        long ac = karatsuba(a, c);
+        long bd = karatsuba(b, d);
+        long e = karatsuba(a+b, c+d) - ac - bd;
+        
+        
+        return (long)(Math.pow(10*1L, 2*n)*ac + Math.pow(10*1L, n)*e + bd);
+    }
+
+
+
+
+public static void main (String[] args){
+
+		Scanner input = new Scanner(System.in);
+        
+		System.out.println("Karatsuba  Algorithm\n");
+
+		Main karatsubaMult = new Main();
+ 
+
+		System.out.println("Enter two numbers: \n");
+		long n1 = input.nextLong();
+		long n2 = input.nextLong();
+
+		long product = karatsubaMult.karatsuba(n1, n2);
+		System.out.println("\nThe product is "+ product);
+	}
+}
+