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Grokking the Coding Interview Patterns in C++

Solution: Dot Product of Two Sparse Vectors

Understand how to implement a SparseVector class that stores only nonzero elements using hash maps and computes the dot product efficiently. Learn to optimize time and space complexity by focusing on shared nonzero indices.

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Statement

We must calculate the dot product of two given sparse vectors, nums1 and nums2.

Create a SparseVector class:

  • Constructor(): Initializes the object with the vector.

  • DotProduct(): Computes the dot product between the current instance of the vector and the other.

Note: A sparse vector is a vector that contains mostly zero values. Therefore, we should store the sparse vectors and calculate the dot product accordingly.

Constraints:

  • n==n == nums1.length ==== nums2.length

  • ...