311 Sparse Matrix Multiplication
Problem:
Given two sparse matrices A and B, return the result of AB.
You may assume that A's column number is equal to B's row number.
Example:
A = [
[ 1, 0, 0],
[-1, 0, 3]
]
B = [
[ 7, 0, 0 ],
[ 0, 0, 0 ],
[ 0, 0, 1 ]
]
| 1 0 0 | | 7 0 0 | | 7 0 0 |
AB = | -1 0 3 | x | 0 0 0 | = | -7 0 3 |
| 0 0 1 |
Solutions:
public class Solution {
public int[][] multiply(int[][] A, int[][] B) {
int m = A.length, k = A[0].length, n = B[0].length;
int[][] result = new int[m][n];
for (int i = 0; i < m; i ++) {
for (int j = 0; j < n; j ++) {
int sum = 0;
for (int l = 0; l < k; l ++) {
sum +=A[i][l] * B[l][j];
}
result[i][j] = sum;
}
}
return result;
}
}
public class Solution {
public int[][] multiply(int[][] A, int[][] B) {
int m = A.length, k = A[0].length, n = B[0].length;
int[][] result = new int[m][n];
for (int i = 0; i < m; i ++) {
for (int l = 0; l < k; l ++) {
if (A[i][l] != 0) {
for (int j = 0; j < n; j ++) {
result[i][j] +=A[i][l] * B[l][j];
}
}
}
}
return result;
}
}