remove elements from link list whose sum equals to zero - algorithm

Question

Given a list in form of linked list, I have to canceled out all the resources whose sum up to 0(Zero) and return the remaining list.
Like
6 -6 3 2 -5 4 returns 4
8 10 4 -1 -3 return 8 10
I only need algorithm to solve this question.

Answer 1

this is actually the classic subset sum problem which is NP-complete
see on wiki or google it to see articles about that

Answer 2

The following function just prints the nodes except the ones which are canceled out, you can make it push to a new list and return.
void printExCancel( node* head )
{
node* start = head;
node* end;
while ( start )
{
bool mod = false;
int sum = 0;
end = start;
while ( end )
{
sum += end->data;
if ( sum == 0 )
{
start = end;
mod = true;
break;
}
end = end->next;
}
if ( mod == false ) {
//push to new list
printf( "%d\n", start->data );
}
//else {
// call funtion to delete from start to end
//}
start = start->next;
}
}

Answer 3

Assumption: Only consecutive elements when summed to zero can be removed.
Approach Followed:
1. Push the non-zero elements of the link list to a stack.
2. On occurrence of a non zero element:
(a) Iterate stack, pop each element and keep adding to the non-zero element.
(b) Keep adding the pop element to a list.
(c) If the value is zero (that means then by now you have removed ) break stack iteration.
(d) If stack is Empty & the sum != 0 add the list elements to stack along with the non-zero one
Try Following Code:
public class ElementSumNonZero {
private static Node head;
private static class Node {
int data;
Node next;
Node(int d) {
data = d;
next = null;
}
}
private void removeNonZeroElements(Node root) {
Node start = root;
Stack<Node> stack = new Stack<>();
boolean flag = false;
List<Node> list = new ArrayList<>();
while (start != null) {
if (start.data > 0)
stack.push(start);
else {
int sum = start.data;
flag = false;
while (!stack.isEmpty()) {
Node temp = stack.pop();
sum += temp.data;
if (sum == 0) {
flag = true;
list.clear();
break;
}
list.add(temp);
}
if (!flag) {
list.forEach(i -> stack.add(i));
stack.add(start);
}
}
start = start.next;
}
stack.forEach(i -> System.out.print(i.data +" -> "));
System.out.println("NULL");
}
// Driver program to test above functions
public static void main(String[] args) {
ElementSumNonZero list = new ElementSumNonZero();
ElementSumNonZero.head = new Node(6);
ElementSumNonZero.head.next = new Node(-6);
ElementSumNonZero.head.next.next = new Node(8);
ElementSumNonZero.head.next.next.next = new Node(4);
ElementSumNonZero.head.next.next.next.next = new Node(-12);
ElementSumNonZero.head.next.next.next.next.next = new Node(9);
ElementSumNonZero.head.next.next.next.next.next.next = new Node(8);
ElementSumNonZero.head.next.next.next.next.next.next.next = new Node(-8);
list.removeNonZeroElements(head);
}
}
Test 0
original: {6, -6,6, 8, 4, -12, 9, 8, -8}
canceled out: {9}
Test 1
original: {4, 6, -10, 8, 9, 10, -19, 10, -18, 20, 25}
canceled out: {20, 25}
We can create the resultant stack into a link list and return from "removeNonZeroElements" method.
Please correct me and suggest ways we can make this code efficient.

Answer 4

Following python code also passes both the testcases:
class Node():
def __init__(self,data):
self.data = data
self.next = None
class Linkedlist():
def __init__(self):
self.head = None
def append(self,data):
new_node = Node(data)
h = self.head
if self.head is None:
self.head = new_node
return
else:
while h.next!=None:
h = h.next
h.next = new_node
def remove_zeros_from_linkedlist(self, head):
stack = []
curr = head
list = []
while (curr):
if curr.data >= 0:
stack.append(curr)
else:
temp = curr
sum = temp.data
flag = False
while (len(stack) != 0):
temp2 = stack.pop()
sum += temp2.data
if sum == 0:
flag = True
list = []
break
elif sum > 0:
list.append(temp2)
if not flag:
if len(list) > 0:
for i in range(len(list)):
stack.append(list.pop())
stack.append(temp)
curr = curr.next
return [i.data for i in stack]
if __name__ == "__main__":
l = Linkedlist()
l.append(4)
l.append(6)
l.append(-10)
l.append(8)
l.append(9)
l.append(10)
l.append(-19)
l.append(10)
l.append(-18)
l.append(20)
l.append(25)
print(l.remove_zeros_from_linkedlist(l.head))

Answer 5

'''Delete the elements in an linked list whose sum is equal to zero
E.g-->> 6 -6 8 4 -12 9 8 -8
the above example lists which gets canceled :
6 -6
8 4 -12
8 -8
o/p : 9
case 3 : 4 6 -10 8 9 10 -19 10 -18 20 25
O/P : 20 25'''
#v_list=[6 ,-6, 8, 4, -12, 9, 8, -8]
#Building Nodes
class Node():
def __init__(self,value):
self.value=value
self.nextnode=None
#Class Linked List for Pointing Head and Tail
class LinkedList():
def __init__(self):
self.head=None
def add_element(self,value):
node=Node(value)
if self.head is None:
self.head=node
return
crnt_node=self.head
while True:
if crnt_node.nextnode is None:
crnt_node.nextnode=node
break
crnt_node=crnt_node.nextnode
def print_llist(self):
crnt_node=self.head
v_llist=[]
while True:
print(crnt_node.value,end='->')
v_llist.append(crnt_node.value) # storing data into list
if crnt_node.nextnode is None:
break
crnt_node=crnt_node.nextnode
print('None')
return v_llist
def print_modified_llist(self):
p_add=0
v_llist=self.print_llist()
#going till the second last element of list and then trying to print requested o/p
for i in range(len(v_llist)-1):
p_add=p_add+v_llist[i]
if v_llist[-1]>0 and p_add>0:
print(p_add,v_llist[-1])
elif v_llist[-1]<0 and p_add>0:
print(p_add+v_list[-1])
elif v_llist[-1]<0 and p_add<0:
print(v_llist[-1],p_add)
sll=LinkedList()
sll.add_element(4)
sll.print_llist()
sll.add_element(6)
sll.print_llist()
sll.add_element(-10)
sll.print_llist()
sll.add_element(8)
sll.print_llist()
sll.add_element(9)
sll.print_llist()
sll.add_element(10)
sll.print_llist()
sll.add_element(-19)
sll.print_llist()
sll.add_element(10)
sll.print_llist()
sll.add_element(-18)
sll.print_llist()
sll.add_element(20)
sll.print_llist()
sll.add_element(25)
sll.print_llist()
sll.print_modified_llist()

Answer 6

Remove elements with consecutive sum = K.
In your case K = 0
Append Node with value zero at the starting of the linked list.
Traverse the given linked list.
During traversal store the sum of the node value till that node with the
reference of the current node in an unordered_map.
If there is Node with value (sum – K) present in the unordered_map then delete
all the nodes from the node corresponding to value (sum – K) stored in map to the
current node and update the sum as (sum – K).
If there is no Node with value (sum – K) present in the unordered_map, then
stored the current sum with node in the map.