CF1770A.Koxia and Whiteboards

Kiyora has $n$ whiteboards numbered from $1$ to $n$ . Initially, the $i$ -th whiteboard has the integer $a_i$ written on it.

Koxia performs $m$ operations. The $j$ -th operation is to choose one of the whiteboards and change the integer written on it to $b_j$ .

Find the maximum possible sum of integers written on the whiteboards after performing all $m$ operations.

Each test consists of multiple test cases. The first line contains a single integer $t$ ( $1 \leq t \leq 1000$ ) — the number of test cases. The description of test cases follows.

The first line of each test case contains two integers $n$ and $m$ ( $1 \le n,m \le 100$ ).

The second line of each test case contains $n$ integers $a_1, a_2, \ldots, a_n$ ( $1 \le a_i \le 10^9$ ).

The third line of each test case contains $m$ integers $b_1, b_2, \ldots, b_m$ ( $1 \le b_i \le 10^9$ ).

For each test case, output a single integer — the maximum possible sum of integers written on whiteboards after performing all $m$ operations.

In the first test case, Koxia can perform the operations as follows:

1. Choose the $1$ -st whiteboard and rewrite the integer written on it to $b_1=4$ .
2. Choose the $2$ -nd whiteboard and rewrite to $b_2=5$ .

After performing all operations, the numbers on the three whiteboards are $4$ , $5$ and $3$ respectively, and their sum is $12$ . It can be proven that this is the maximum possible sum achievable.

In the second test case, Koxia can perform the operations as follows:

1. Choose the $2$ -nd whiteboard and rewrite to $b_1=3$ .
2. Choose the $1$ -st whiteboard and rewrite to $b_2=4$ .
3. Choose the $2$ -nd whiteboard and rewrite to $b_3=5$ .

The sum is $4 + 5 = 9$ . It can be proven that this is the maximum possible sum achievable.