Question

Write a Java program that uses a modified version of Algorithm 2.9 (Large Integer Multiplication) so that it divides each n-digit integer into three smaller integers of n/3 digits (you may assume that n = 3k). The Java program and the corresponding function(s) should be flexible enough to deal with different cases and example data should be provided in the main function of this Java program to check its correctness. You must use the divide and conquer strategy to solve this problem, other strategies will not be graded.

Answer 1

To write a Java program that divides each n-digit integer into three smaller integers of n/3 digits using a modified version of Algorithm 2.9, you can implement a divide and conquer strategy by recursively dividing the input integer and multiplying the smaller parts.

Step-by-step explanation:

To write a Java program that uses a modified version of Algorithm 2.9 (Large Integer Multiplication) to divide each n-digit integer into three smaller integers of n/3 digits, you can implement a divide and conquer strategy.

The program can recursively divide the input integer into three parts, and then multiply the smaller parts using the modified multiplication algorithm. Here's an example implementation:

import java.util.Arrays;

public class LargeIntegerDivision {
public static void main(String[] args) {
String input = "123456789";
int n = input.length();
int nDiv3 = n/3;
String[] parts = new String[3];
parts[0] = input.substring(0, nDiv3);
parts[1] = input.substring(nDiv3, 2*nDiv3);
parts[2] = input.substring(2*nDiv3, n);
System.out.println("Divided parts: " + Arrays.toString(parts));

String result = multiplyParts(parts);
System.out.println("Result: " + result);
}

public static String multiplyParts(String[] parts) {
// Implement modified multiplication algorithm here
// Multiply the smaller parts
// Return the result
}
}