137 lines
5.4 KiB
Java
137 lines
5.4 KiB
Java
|
/*This is a Java Program to subtract two large numbers using Linked List. A linked list is a data structure consisting of a group of nodes which together represent a sequence. Under the simplest form, each node is composed of a data and a reference (in other words, a link) to the next node in the sequence. This structure allows for efficient insertion or removal of elements from any position in the sequence.
|
|||
|
|
Maximum value that can be stored in the primitive datatypes ‘int’ and ‘long’ is 231 and 263 respectively. Hence values larger than this cannot be represented using int or long. An alternative is to use the BigInteger class which is available in java as java.math.BigInteger . However, here we will be applying concepts of linked lists to subtract very large numbers.*/
|
|||
|
|
|
|||
|
|
/*
|
|||
|
|
* Java Program to subtract two large numbers using Linked Lists
|
|||
|
|
*/
|
|||
|
|
|
|||
|
|
import java.util.*;
|
|||
|
|
|
|||
|
|
public class SubtractLargeNumbersUsingLinkedLists
|
|||
|
|
{
|
|||
|
|
public static void main(String[] args)
|
|||
|
|
{
|
|||
|
|
Scanner scan = new Scanner(System.in);
|
|||
|
|
/* Create Linked Lists */
|
|||
|
|
LinkedList<Integer> num1 = new LinkedList<Integer>();
|
|||
|
|
LinkedList<Integer> num2 = new LinkedList<Integer>();
|
|||
|
|
LinkedList<Integer> ans = new LinkedList<Integer>();
|
|||
|
|
LinkedList<Integer> tmp = new LinkedList<Integer>();
|
|||
|
|
/* Accept numbers */
|
|||
|
|
System.out.println("Subtracting Large Numbers Using Linked Lists Test\n");
|
|||
|
|
System.out.println("Enter number 1");
|
|||
|
|
String str1 = scan.next();
|
|||
|
|
System.out.println("Enter number 2");
|
|||
|
|
String str2 = scan.next();
|
|||
|
|
/* Find larger number */
|
|||
|
|
int l1 = str1.length(), l2 = str2.length();
|
|||
|
|
String s1 = str1, s2 = str2;
|
|||
|
|
boolean sign = false;
|
|||
|
|
if (l1 < l2 || (l1 == l2 && str1.compareTo(str2) < 0))
|
|||
|
|
{
|
|||
|
|
s1 = str2;
|
|||
|
|
s2 = str1;
|
|||
|
|
sign = true;
|
|||
|
|
}
|
|||
|
|
l1 = s1.length();
|
|||
|
|
while (s2.length() != l1)
|
|||
|
|
s2 = "0" + s2;
|
|||
|
|
/* Store digits in lists */
|
|||
|
|
for (int i = l1 - 1; i >= 0; i--)
|
|||
|
|
{
|
|||
|
|
num1.add(s1.charAt(i) - '0');
|
|||
|
|
/* 9 complement of second number */
|
|||
|
|
num2.add('9' - s2.charAt(i));
|
|||
|
|
}
|
|||
|
|
/* Add the numbers */
|
|||
|
|
int carry = 0;
|
|||
|
|
for (int i = 0; i < l1; i++)
|
|||
|
|
{
|
|||
|
|
int d1 = 0, d2 = 0;
|
|||
|
|
try
|
|||
|
|
{
|
|||
|
|
d1 = num1.get(i);
|
|||
|
|
}
|
|||
|
|
catch(Exception e) {}
|
|||
|
|
try
|
|||
|
|
{
|
|||
|
|
d2 = num2.get(i);
|
|||
|
|
}
|
|||
|
|
catch(Exception e) {}
|
|||
|
|
int x = d1 + d2 + carry;
|
|||
|
|
tmp.add(x % 10);
|
|||
|
|
carry = x / 10;
|
|||
|
|
}
|
|||
|
|
/* Adding carry and storing in ans list*/
|
|||
|
|
for (int i = 0; i < l1; i++)
|
|||
|
|
{
|
|||
|
|
int x = tmp.get(i) + carry;
|
|||
|
|
ans.add(x % 10);
|
|||
|
|
carry = x / 10;
|
|||
|
|
}
|
|||
|
|
/* Print number */
|
|||
|
|
System.out.print("\nDifference = ");
|
|||
|
|
if (s1.equals(s2))
|
|||
|
|
System.out.print("0\n");
|
|||
|
|
else
|
|||
|
|
{
|
|||
|
|
if (sign)
|
|||
|
|
System.out.print("-");
|
|||
|
|
/* Dont print leading zeroes */
|
|||
|
|
int i;
|
|||
|
|
for (i = ans.size() - 1; i >= 0; i--)
|
|||
|
|
if (ans.get(i) != 0)
|
|||
|
|
break;
|
|||
|
|
for (; i >= 0; i--)
|
|||
|
|
System.out.print(ans.get(i));
|
|||
|
|
System.out.println();
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/*
|
|||
|
|
|
|||
|
|
Subtracting Large Numbers Using Linked Lists Test
|
|||
|
|
|
|||
|
|
Enter number 1
|
|||
|
|
9456738572365648932758346782759273576
|
|||
|
|
Enter number 2
|
|||
|
|
56736823748726353476582734827356545368752365
|
|||
|
|
|
|||
|
|
Difference = -56736814291987781110933802069009762609478789
|
|||
|
|
|
|||
|
|
|
|||
|
|
|
|||
|
|
Subtracting Large Numbers Using Linked Lists Test
|
|||
|
|
|
|||
|
|
Enter number 1
|
|||
|
|
83657367648164375237587648523823975867384567263847286325673682366458782936575682
|
|||
|
|
36572582365783465764756873456765826382758265784685627365826375836576572863872655
|
|||
|
|
|
|||
|
|
Enter number 2
|
|||
|
|
23647236572638468364732576823748726573687273567283689587364723564586458287578263
|
|||
|
|
86836827563287526582786235723878364738568745862358293576548237582365758781878286
|
|||
|
|
|
|||
|
|
|
|||
|
|
Difference = 6001013107552590687285507170007524929369729369656359673830895880187
|
|||
|
|
23246489974184973575480249593918197063773288746164418951992232733378927813825421
|
|||
|
|
0814081994369
|
|||
|
|
|
|||
|
|
|
|||
|
|
Subtracting Large Numbers Using Linked Lists Test
|
|||
|
|
|
|||
|
|
Enter number 1
|
|||
|
|
83748562837562383475628737416872984236198927419812347652388735823741846283754568
|
|||
|
|
27938757268728382365872562837842356872957826874236547375235627947238562794783567
|
|||
|
|
53562377826357197843587645728738523657327471874678456382749836435728974816423653
|
|||
|
|
2342357726378462378672357
|
|||
|
|
Enter number 2
|
|||
|
|
23785623874816487638672368926572358263756837435767555535238568278623758758263857
|
|||
|
|
65846578384573846587657628387648523758273562386237652736486385792719281019018408
|
|||
|
|
29347293758465832701801030812498357801981974384917417418924787329561727418578652
|
|||
|
|
8736582735826353765198481647358365273958635759727385671
|
|||
|
|
|
|||
|
|
Difference = -237856238748164876386723689264886097009192750522919267978216952943
|
|||
|
|
87559830844045310813395109914724030292529308205850010048340038717801736485434358
|
|||
|
|
46323192144171746097701956711088455215524557447954241556171870738297731960488059
|
|||
|
|
043999467039744172755237461996475450317410826022916232257297348713314
|