Problem:
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Matrix Multiplication

Write a program which reads a $n \times m$ matrix $A$ and a $m \times l$ matrix $B$, and prints their product, a $n \times l$ matrix $C$. An element of matrix $C$ is obtained by the following formula:

\[
c_{ij} = \sum_{k=1}^m a_{ik}b_{kj}
\]

where $a_{ij}$, $b_{ij}$ and $c_{ij}$ are elements of $A$, $B$ and $C$ respectively.

Input

In the first line, three integers $n$, $m$ and $l$ are given separated by space characters

In the following lines, the $n \times m$ matrix $A$ and the $m \times l$ matrix $B$ are given.

Output

Print elements of the $n \times l$ matrix $C$ ($c_{ij}$). Print a single space character between adjacent elements.

Constraints

$1 \leq n, m, l \leq 100$

$0 \leq a_{ij}, b_{ij} \leq 10000$

Sample Input

3 2 3
1 2
0 3
4 5
1 2 1
0 3 2

Sample Output

1 8 5
0 9 6
4 23 14

Note

      解説

Solution in JavaScript (judge verdict: Accepted)

function main(input) {
    let args = input.split("\n"),
    num = args[0].split(" ").map(Number)
    n = num[0], m = num[1], l = num[2]
    args.shift()
    
    const a = new Array(n)
    for(let y = 0; y < n; y++) {
        a[y] = args[0].split(" ").map(Number)
        args.shift()
    }
    
    const b = new Array(m)
    for(let y = 0; y < m; y++) {
        b[y] = args[0].split(" ").map(Number)
        args.shift()
    }
    
    const c = new Array(n);
    for(let y = 0; y < n; y++) {
        c[y] = new Array(l).fill(0);
    }
    
    for (let i = 0; i < n; i++) {
        for (let j = 0; j < m; j++) {
            for (let k = 0; k < l; k++) {
                c[i][k] += a[i][j] * b[j][k]
            }
        }
    }
    
    for (let i = 0; i < n; i++) {
        for (let j = 0; j < l; j++) {
            process.stdout.write(String(c[i][j]))
            if (j + 1 != l) process.stdout.write(" ")
        }
        console.log()
    }
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));