86 Partition List

Given the head of a linked list and a value x, partition it such that all nodes less than x come before nodes greater than or equal to x.

You should preserve the original relative order of the nodes in each of the two partitions.

Example 1:

1 -> 4 -> 3 -> 2 -> 5 -> 2
            v
1 -> 2 -> 2 -> 4 -> 3 -> 5

Input: head = [1,4,3,2,5,2], x = 3
Output: [1,2,2,4,3,5]

Example 2:

Input: head = [2,1], x = 2
Output: [1,2]

Constraints:

  • The number of nodes in the list is in the range [0, 200].
  • -100 <= Node.val <= 100
  • -200 <= x <= 200
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# Definition for singly-linked list.
# class ListNode:
#     def __init__(self, val=0, next=None):
#         self.val = val
#         self.next = next
class Solution:
    def partition(self, head: Optional[ListNode], x: int) -> Optional[ListNode]:
        # big_dummy_head -> (greater than or equal to x)
        # small_dummy_head -> (smaller than x .. -> small_last)
        big_dummy_head = ListNode(0, head)
        small_dummy_head = small_last = ListNode()
        prev, curr = big_dummy_head, head
        while curr:
            if curr.val < x:
                prev.next = curr.next
                small_last.next = curr
                small_last =  small_last.next
            else:
                prev = curr
            curr = curr.next
        small_last.next = big_dummy_head.next
        return small_dummy_head.next