[Daily Problem] Remove Consecutive Nodes that Sum to 0

Hi, here's your problem today. This problem was recently asked by Uber:

Given a linked list of integers, remove all consecutive nodes that sum up to 0.

Example:
Input: 10 -> 5 -> -3 -> -3 -> 1 -> 4 -> -4
Output: 10

The consecutive nodes 5 -> -3 -> -3 -> 1 sums up to 0 so that sequence should be removed. 4 -> -4 also sums up to 0 too so that sequence should also be removed.

Here's a starting point:

class Node:

  def __init__(self, value, next=None):

    self.value = value

    self.next = next



def removeConsecutiveSumTo0(node):

  # Fill this in.



node = Node(10)

node.next = Node(5)

node.next.next = Node(-3)

node.next.next.next = Node(-3)

node.next.next.next.next = Node(1)

node.next.next.next.next.next = Node(4)

node.next.next.next.next.next.next = Node(-4)

node = removeConsecutiveSumTo0(node)

while node:

  print node.value,

  node = node.next

# 10