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Problem: Dot Product of Two Sparse Vectors

Medium
30 min
Explore how to implement a SparseVector class to compute the dot product of two sparse vectors. Understand the significance of storing sparse data efficiently using hash maps and practice applying this pattern to optimize calculations. This lesson guides you through the problem setup, constraints, and hands-on coding implementation.

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

  • 1n1031 \leq n \leq 10^3

  • 00 \leq nums1[i], nums2[i] 100\leq 100

Problem
Ask
Submissions

Problem: Dot Product of Two Sparse Vectors

Medium
30 min
Explore how to implement a SparseVector class to compute the dot product of two sparse vectors. Understand the significance of storing sparse data efficiently using hash maps and practice applying this pattern to optimize calculations. This lesson guides you through the problem setup, constraints, and hands-on coding implementation.

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

  • 1n1031 \leq n \leq 10^3

  • 00 \leq nums1[i], nums2[i] 100\leq 100