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36 changes: 36 additions & 0 deletions KaratsubaAlgorithm.java
Original file line number Diff line number Diff line change
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import java.util.*;

public class KaratsubaAlgorithm {

public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
System.out.println("Enter Two Numbers To multiply : ");
long num1 = sc.nextLong();
long num2 = sc.nextLong();
System.out.println("The Prodct Of the Numbers is : " + karastuba(num1, num2));

}

public static long karastuba(long num1, long num2) {
if (num1 < 10 && num2 < 10) {
return num1 * num2;
}

int maxSize = Math.max((Long.toString(num1).length()), (Long.toString(num2).length()));

int n = (int) Math.ceil(maxSize / 2.0);
long p = (long) Math.pow(10, n);
long a = (long) Math.floor(num1 / (double) p);
long b = num1 % p;
long c = (long) Math.floor(num2 / (double) p);
long d = num2 % p;

long a_c = karastuba(a, c);
long b_d = karastuba(b, d);
long e = karastuba(a + b, c + d) - a_c - b_d;

return (long) (Math.pow(10 * 1L, 2 * n) * a_c + Math.pow(10 * 1L, n) * e + b_d);

}

}