#1290
Convert Binary Number in a Linked List to Integer
EasyLinked ListMathBit ManipulationLinked List Traversal
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(n) | O(1) |
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Intuition
Time O(n)Space O(1)
Instead of building a string, we can directly compute the decimal value while traversing the linked list. This uses bit manipulation to build the number efficiently.
⚙️
Algorithm
3 steps- 1Step 1: Initialize a variable 'result' to 0.
- 2Step 2: Traverse the linked list while head is not null.
- 3Step 3: For each node, shift 'result' left by 1 (multiply by 2) and add the current node's value.
solution.py11 lines
1class ListNode:
2 def __init__(self, val=0, next=None):
3 self.val = val
4 self.next = next
5
6def getDecimalValue(head):
7 result = 0
8 while head:
9 result = (result << 1) | head.val
10 head = head.next
11 return resultℹ
Complexity note: The time complexity is O(n) because we traverse the linked list once. The space complexity is O(1) since we are using a constant amount of space to store the result.
- 1Understanding binary representation and bit manipulation is crucial.
- 2Using bitwise operations can significantly optimize performance.
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