Poulami - 8 months ago 33

C Question

I have two linked lists representing the digits of decimal numbers in order from most- to least-significant. for eg

`4->7->9->6`

`5->7`

The answer should be

`4->8->5->3`

I am thinking of solving the problem using stack.I will traverse both the lists and push the data elements into two separate stacks.One for each linked list.Then I pop both the stacks together and add both the elements and if the result is a two digit no I 10 modulo it and store the carry in a temp variable.The remainder is stored in the node and the carry is added to the next sum and so on.

if the two stacks are s1 and s2 and the result linked list is res.

`temp = 0;`

res = (node*)(malloc(sizeof(node*));

while(s1->top!=-1 || s2->top!=-1)

{

temp = 0;

sum = pop(s1) + pop(s2);

n1 = (node*)(malloc(sizeof(node*));

temp = sum/10;

sum = sum%10;

sum = sum+temp;

n1->data = sum;

n1->next = res;

res = n1;

free n1;

//temp=0;

}

if((s1->top==-1)&&(s2->top==-1))

{

return res;

}

else if(s1->top==-1)

{

while(s2->top!=-1)

{

temp = 0;

sum = pop(s2);

sum = sum + temp;

temp = sum/10;

sum = sum%10;

n1 = (node*)(malloc(sizeof(node*));

n1->data = sum;

n1->next = res;

res = n1;

free n1;

}

}

else

{

while(s2->top!=-1)

{

temp = 0;

sum = pop(s2);

sum = sum+temp;

temp = sum/10;

sum = sum%10;

n1=(node*)(malloc(sizeof(node*));

n1->data = sum;

n1->next = res;

res = n1;

free n1;

}

}

return res;

I have come across this problem many times in interview questions but this is the best solution that I could think of.

If anyone can come with something more efficient in c i will be very glad.

Answer

Two passes, no stack:

Get the length of the two lists.

Create a solution list with one node. Initialize the value of this node to zero. This will hold the carry digit. Set a list pointer (call it the carry pointer) to the location of this node. Set a list pointer (call it the end pointer) to the location of this node.

Starting with the longer list, for each excess node, link a new node to the end pointer and assign it the value of the excess node. Set the end pointer to this new node. If the value is less than 9, set the carry pointer to the new node.

Now we're left with both list pointers having the same number of nodes in each.

While the lists are not empty...

Link a new node to the end pointer and advance the end pointer to this node.

Get the values from each list and advance each list pointer to the next node.

Add the two values together.

If value is greater than nine, set the value to

`value mod 10`

, increment the value held in the carry pointer's node, move the carry pointer to the next node. If carry pointer's value is nine, set to zero and go to next node.If value is nine. Set it. Do nothing else.

If value is less than nine. Set it. Set carry pointer to current node.

When you're done with both lists, check if the solution pointer's node value is zero. If it is, set the solution pointer to the next node, deleting the unneeded extra digit.