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Decode the Coding Interview in Go: Real-World Examples

Sparse Matrix Multiplication

Understand how to multiply two sparse matrices in Go by converting them into maps of non-zero elements. Learn to implement an efficient algorithm to generate the product matrix while managing time and space complexity effectively.

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Description

We have two sparse matrices, A and B.

“A sparse matrix is one in which most of the elements are zero.”

You need to multiply the two matrices and return the output matrix. You can assume that A’s column number is equal to B’s row number.

Constraints

The following are some constraints:

  • 1 <= A.length, B.length <= 100
  • 1 <= A[i].length, B[i].length <= 100
  • -100 <= A[i][j], B[i][j] <= 100

Let’s review this scenario using the example below:

Coding exercise

Go (1.6.2)
package main
import (
  "fmt"
  "encoding/json"
)
func multiply(x, y [][]int) [][]int{
    // Write your code here.
    return [][]int{}
}
Sparse Matrix Multiplication

Solution

We have two sparse matrices, meaning most of the matrices’ elements are zero. We can represent the input matrices as maps, and only save the non-zero elements and ...