3217. Delete Nodes From Linked List Present in Array
Difficulty: Medium
Topics: Array
, Hash Table
, Linked List
You are given an array of integers nums
and the head
of a linked list. Return the head
of the modified linked list after removing
all nodes from the linked list that have a value that exists in nums
.
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: 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] 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
.
Hint:
- Add all elements of
nums
into a Set. - Scan the list to check if the current element should be deleted by checking the Set.
Solution:
We need to traverse through the linked list and remove any nodes that have a value present in the array nums
.
Approach:
-
Hash Set for Fast Lookup: Since checking if a value exists in
nums
needs to be efficient, we will convertnums
into a hash set. This allows O(1) lookup for each value. - Iterate Through the Linked List: We will iterate through the linked list and remove nodes whose values are present in the hash set.
-
Pointer Manipulation: While iterating, we will adjust the pointers to "skip" nodes that match values in the
nums
array.
Steps:
- Convert
nums
to a hash set for O(1) lookup. - Traverse the linked list with two pointers: one for the current node and one for the previous node to help remove nodes efficiently.
- For each node, check if the value is in the hash set. If it is, update the previous node’s
next
to skip the current node.
Let's implement this solution in PHP: 3217. Delete Nodes From Linked List Present in Array
<?php
// Definition for a singly-linked list node.
class ListNode {
public $val = 0;
public $next = null;
function __construct($val = 0, $next = null) {
$this->val = $val;
$this->next = $next;
}
}
class Solution {
/**
* @param Integer[] $nums
* @param ListNode $head
* @return ListNode
*/
function removeElements($head, $nums) {
...
...
...
/**
* go to ./solution.php
*/
}
}
// Example usage:
// Linked List: 1 -> 2 -> 3 -> 4 -> 5
$head = new ListNode(1);
$head->next = new ListNode(2);
$head->next->next = new ListNode(3);
$head->next->next->next = new ListNode(4);
$head->next->next->next->next = new ListNode(5);
// Array nums: [1, 2, 3]
$nums = [1, 2, 3];
$solution = new Solution();
$result = $solution->removeElements($head, $nums);
// Function to print the linked list
function printList($node) {
while ($node !== null) {
echo $node->val . " ";
$node = $node->next;
}
}
// Print the resulting linked list
printList($result); // Output: 4 5
?>
Explanation:
-
removeElements($head, $nums)
:- We first convert
nums
into a hash set ($numSet = array_flip($nums);
) for fast lookups. - A dummy node is created and linked to the head of the list. This helps simplify edge cases like removing the head node.
- The
prev
pointer tracks the node before the current one, allowing us to remove the current node by skipping it in the list. - For each node, we check if its value is in
numSet
. If so, we remove it by adjusting theprev->next
pointer to skip the current node.
- We first convert
-
Edge Cases:
- If the head node needs to be removed, the dummy node ensures the head can be cleanly removed and still return the correct list.
- Handles cases where multiple consecutive nodes need to be removed.
-
Complexity:
-
Time Complexity: O(n), where
n
is the number of nodes in the linked list. We visit each node once. Convertingnums
to a set takes O(m), wherem
is the size ofnums
. -
Space Complexity: O(m) for storing the
nums
set.
-
Time Complexity: O(n), where
Example Walkthrough:
For input nums = [1, 2, 3]
and head = [1, 2, 3, 4, 5]
, the algorithm will:
- Start at node 1, check if 1 is in
nums
, and remove it. - Move to node 2, check if 2 is in
nums
, and remove it. - Move to node 3, check if 3 is in
nums
, and remove it. - Move to node 4 and 5, which are not in
nums
, so they remain in the list.
The resulting linked list is [4, 5]
.
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