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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 in C# that calculates the dot product of two sparse vectors by storing nonzero elements in hash maps. Learn to optimize both time and space complexity by focusing computations only on overlapping nonzero positions, enhancing problem-solving skills for coding interviews.

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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

  • ...