I was solving Dot Product of Two Sparse Vectors (Given two sparse vectors, compute their dot product.) and I got confused about time complexity.
For solution:
class SparseVector: def __init__(self, nums): self.array = nums def dotProduct(self, vec): result = 0 for num1, num2 in zip(self.array, vec.array): result += num1 * num2 return result
it says in answer that
Time complexity: O(n)
for both constructing the sparse vector and calculating the dot product.
Why time complexity of __init__
is O(n)
? I thought that self.array = nums
is simple assignment like list_1 = list_2
and should has time complexity O(1)
.
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Answer
You’re right, the assignment is O(1). Assignment in Python never does any copying unless you explicitly make a copy, you just end up with two references to the same object. Doesn’t matter how large the object is.