
Problem Statement
The task involves a linked list and an array of integers named nums
. Each integer in this array represents values which should be searched and removed from the linked list. The obligation is not merely to detect and expunge these values, but to return the modified linked list devoid of the nodes containing any values found in nums
. The operation needs to be efficient given the potential size of both the linked list and the integer array, ensuring each element in nums
effectively targets and eliminates respective nodes in the linked list.
Examples
Example 1
Input:
nums = [1,2,3], head = [1,2,3,4,5]
Output:
[4,5]
Explanation:
Remove the nodes with values 1, 2, and 3.
Example 2
Input:
nums = [1], head = [1,2,1,2,1,2]
Output:
[2,2,2]
Explanation:
Remove the nodes with value 1.
Example 3
Input:
nums = [5], head = [1,2,3,4]
Output:
[1,2,3,4]
Explanation:
No node has value 5.
Constraints
1 <= nums.length <= 105
1 <= nums[i] <= 105
- All elements in
nums
are unique. - The number of nodes in the given list is in the range
[1, 105]
. 1 <= Node.val <= 105
- The input is generated such that there is at least one node in the linked list that has a value not present in
nums
.
Approach and Intuition
The removal of nodes from a linked list based on specific values from an array nums
poses a classic algorithmic challenge often tackled through efficient search and delete operations. Here's a conceptual breakdown:
- Convert the array
nums
into a set for O(1) average time complexity for value lookup, which is pivotal when determining if a node's value should lead to its removal. - Traverse through the linked list using a pointer like
current
to access each node. Another pointer,prev
, might be used to rewire the node connections whenever a node is removed. - Continuously examine if the current node's value exists within our set derived from
nums
. If true, adjust the pointers to exclude the current node effectively, thereby deleting it from the linked list. If false, simply move to the next node. - Special attention is needed for the head of the linked list, as head nodes might also need removal. An auxiliary node could be beneficial here to provide a stable starting point regardless of frequent modifications at the beginning of the list.
Considering the provided example scenarios helps reinforce this strategy:
- Example 1: Where
nums = [1,2,3]
and the list has nodes[1,2,3,4,5]
. After removing nodes 1, 2, and 3, only[4,5]
remain, demonstrating clear internal node deletions. - Example 2: Illustrates the need to repeatedly remove nodes with the same value (
nums = [1]
), ensuring all nodes with value1
are expunged, outputting[2,2,2]
. - Example 3: No nodes are removed since no node matches the
nums
value, thus showcasing the necessity to handle cases where no changes are required.
The constraints and structure of nums
ensure that each value for removal is unique and within the valid range of node values, which simplifies the handling of the linked list adjustments (there's no concern about duplicate value removal complexities). The linked list is also guaranteed to retain at least one node not matching any nums
values, ensuring the output is never an entirely deleted list.
Solutions
- C++
- Java
- Python
class Solution {
public:
ListNode* removeElements(vector<int>& elements, ListNode* root) {
unordered_set<int> setToRemove(elements.begin(), elements.end());
while (root != nullptr && setToRemove.count(root->val) > 0) {
ListNode* toDelete = root;
root = root->next;
delete toDelete;
}
if (root == nullptr) {
return nullptr;
}
ListNode* ptr = root;
while (ptr->next != nullptr) {
if (setToRemove.find(ptr->next->val) != setToRemove.end()) {
ListNode* toDelete = ptr->next;
ptr->next = ptr->next->next;
delete toDelete;
} else {
ptr = ptr->next;
}
}
return root;
}
};
This solution in C++ focuses on removing nodes from a linked list based on a set of values provided in an array. Here's a concise explanation of how the implementation achieves this:
- First, convert the array of elements to be removed into an unordered set. This set aids in quick lookup operations to check if a node's value is in the delete list.
- Begin by checking the head of the linked list. If the head node (root) has a value present in the
setToRemove
, delete this node and move to the next. Repeat this process until a node not in the set is found or the end of the list is reached. - After ensuring the new head of the list is not meant to be deleted, traverse the remainder of the list using a pointer. Whenever a node's next node is in the
setToRemove
, bypass and as a result, delete the node from the list. - Continue the traversal until the end of the list is reached, ensuring all specified elements are effectively removed.
Remember the importance of proper memory management; after detaching a node from the linked list, delete it to free up memory. This method effectively modifies the linked list in-place, returning the modified list where all nodes matching the values in the array are removed.
class Solution {
public ListNode filterList(int[] filterNums, ListNode root) {
// Collect filter numbers into a set for quick access
Set<Integer> filterSet = new HashSet<>();
for (int num : filterNums) {
filterSet.add(num);
}
// Remove nodes from the beginning that are in the filter set
while (root != null && filterSet.contains(root.val)) {
root = root.next;
}
// Return null if the entire list was filtered out
if (root == null) {
return null;
}
// Delete subsequent nodes containing values in the filter set
ListNode ptr = root;
while (ptr.next != null) {
if (filterSet.contains(ptr.next.val)) {
// Point to the next next node to effectively remove the current next
ptr.next = ptr.next.next;
} else {
// Otherwise just proceed forward
ptr = ptr.next;
}
}
return root;
}
}
This Java solution focuses on removing nodes from a linked list if their values exist within a given array. The approach uses a HashSet to store all elements from the array for quick look-up times, ensuring an efficient filtering of the linked list.
- Initially, populate the HashSet with values from the
filterNums
array for fast Lookup. - Start by removing any nodes from the beginning of the linked list that match the values in the HashSet.
- If the entire list is filtered out (i.e., all nodes match and are removed), return a null pointer.
- For remaining elements in the list, traverse through and continue removing any matching nodes by setting pointers to skip over them.
This method ensures that only nodes whose values are not in the filterNums
array remain in the linked list, effectively modifying the list in place with a time complexity primarily dependent on the number of elements in the linked list and the operation of searching within the HashSet. By leveraging the HashSet, this search operation for each node is significantly fast, averaging O(1) time.
class Solution:
def updateList(self, items: List[int], root: Optional[ListNode]) -> Optional[ListNode]:
# Establish a set from items for quick lookup
remove_set = set(items)
# Skip all initial nodes that need to be removed
while root and root.val in remove_set:
root = root.next
# Return None if list becomes empty
if not root:
return None
# Traverse the remaining nodes to remove unwanted values
current_node = root
while current_node.next:
if current_node.next.val in remove_set:
current_node.next = current_node.next.next
else:
current_node = current_node.next
return root
This summary provides a solution for efficiently removing specific nodes from a singly linked list based on a list of values, using Python 3.
Problem Concept:
Given a linked list and a list of integer values (items
), the task is to delete any node in the linked list whose value appears in items
.
Solution Approach: The solution involves the following steps:
Convert the list of integers (
items
) into a set namedremove_set
to allow fast lookup operations.Use a while loop to skip and remove all nodes from the beginning of the linked list that are present in
remove_set
.Check if the linked list is empty after initial removals. If yes, return
None
as there are no nodes left.Traverse through the linked list starting from the first node that's not in
remove_set
. For each subsequent node, check if its value is inremove_set
.If a node’s value is found in
remove_set
, bypass this node by adjusting the next pointer of the current node to skip the unwanted node.Continue the traversal until the end of the list is reached.
By completing these steps, all nodes containing values present in the items
list will be removed from the linked list, effectively updating it according to specified criteria. This approach ensures an optimal solution using the fast membership testing feature of Python's set data structure during the traversal of the linked list.
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