// C++ program to subtract smaller valued
// list from larger valued list and return
// result as a list.
#include <bits/stdc++.h>
using namespace std;
// A linked List Node
struct Node
{
int data;
struct Node* next;
};
// A utility which creates
// Node.
Node* newNode(int data)
{
Node* temp = new Node;
temp->data = data;
temp->next = NULL;
return temp;
}
/* A utility function to get length
of linked list */
int getLength(Node* Node)
{
int size = 0;
while (Node != NULL)
{
Node = Node->next;
size++;
}
return size;
}
/* A Utility that padds zeros in
front of the Node, with the
given diff */
Node* paddZeros(Node* sNode,
int diff)
{
if (sNode == NULL)
return NULL;
Node* zHead = newNode(0);
diff--;
Node* temp = zHead;
while (diff--)
{
temp->next = newNode(0);
temp = temp->next;
}
temp->next = sNode;
return zHead;
}
/* Subtract LinkedList Helper is a
recursive function, move till the
last Node, and subtract the digits
and create the Node and return the
Node. If d1 < d2, we borrow the number
from previous digit. */
Node* subtractLinkedListHelper(Node* l1,
Node* l2,
bool& borrow)
{
if (l1 == NULL &&
l2 == NULL && borrow == 0)
return NULL;
Node* previous = subtractLinkedListHelper(
l1 ? l1->next : NULL,
l2 ? l2->next : NULL, borrow);
int d1 = l1->data;
int d2 = l2->data;
int sub = 0;
/* If you have given the value value
to next digit then reduce the d1 by 1 */
if (borrow)
{
d1--;
borrow = false;
}
/* If d1 < d2, then borrow the number
from previous digit. Add 10 to d1
and set borrow = true; */
if (d1 < d2)
{
borrow = true;
d1 = d1 + 10;
}
// Subtract the digits
sub = d1 - d2;
// Create a Node with sub value
Node* current = newNode(sub);
// Set the Next pointer as Previous
current->next = previous;
return current;
}
/* This API subtracts two linked lists
and returns the linked list which
shall have the subtracted result. */
Node* subtractLinkedList(Node* l1,
Node* l2)
{
// Base Case.
if (l1 == NULL && l2 == NULL)
return NULL;
// In either of the case, get the
// lengths of both Linked list.
int len1 = getLength(l1);
int len2 = getLength(l2);
Node *lNode = NULL, *sNode = NULL;
Node* temp1 = l1;
Node* temp2 = l2;
// If lengths differ, calculate the
// smaller Node and padd zeros for
// smaller Node and ensure both larger
// Node and smaller Node has equal length.
if (len1 != len2)
{
lNode = len1 > len2 ? l1 : l2;
sNode = len1 > len2 ? l2 : l1;
sNode = paddZeros(sNode,
abs(len1 - len2));
}
else
{
// If both list lengths are equal,
// then calculate the larger and
// smaller list. If 5-6-7 & 5-6-8
// are linked list, then walk through
// linked list at last Node as 7 < 8,
// larger Node is 5-6-8 and smaller
// Node is 5-6-7.
while (l1 && l2)
{
if (l1->data != l2->data)
{
lNode = (l1->data > l2->data ?
temp1 : temp2);
sNode = (l1->data > l2->data ?
temp2 : temp1);
break;
}
l1 = l1->next;
l2 = l2->next;
}
}
// If both lNode and sNode still
// have NULL value, then this means
// that the value of both of the
// given linked lists is the same
// and hence we can directly return
// a node with value 0.
if(lNode==NULL&&sNode==NULL)
{
return newNode(0);
}
// After calculating larger and smaller
// Node, call subtractLinkedListHelper
// which returns the subtracted linked list.
bool borrow = false;
return subtractLinkedListHelper(lNode,
sNode, borrow);
}
/* A utility function to print
linked list */
void printList(struct Node* Node)
{
while (Node != NULL)
{
printf("%d ", Node->data);
Node = Node->next;
}
printf("");
}
// Driver code
int main()
{
Node* head1 = newNode(1);
head1->next = newNode(0);
head1->next->next = newNode(0);
Node* head2 = newNode(1);
Node* result = subtractLinkedList(head1,
head2);
printList(result);
return 0;
}