#817
Linked List Components
MediumArrayHash TableLinked ListHash MapArray
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(1) | O(n) |
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Intuition
Time O(n)Space O(n)
The optimal solution uses a set to quickly check if a node's value is in nums and counts components based on consecutive nodes in the linked list.
⚙️
Algorithm
5 steps- 1Step 1: Create a set from the nums array for O(1) lookups.
- 2Step 2: Initialize a count variable to zero.
- 3Step 3: Traverse the linked list, checking if each node's value is in the set.
- 4Step 4: If a value is found, increment the count and skip all consecutive nodes that are also in the set.
- 5Step 5: Return the count after traversing the entire linked list.
solution.py18 lines
1# Full working Python code
2class ListNode:
3 def __init__(self, val=0, next=None):
4 self.val = val
5 self.next = next
6
7def numComponents(head, nums):
8 nums_set = set(nums)
9 count = 0
10 current = head
11 while current:
12 if current.val in nums_set:
13 count += 1
14 while current and current.val in nums_set:
15 current = current.next
16 else:
17 current = current.next
18 return countℹ
Complexity note: The time complexity is O(n) because we traverse the linked list once, and the space complexity is O(n) due to the set storing the nums values.
- 1Using a set allows for O(1) lookups, which is crucial for performance.
- 2Identifying consecutive components is key to solving the problem efficiently.
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