| A movie company has released $2$ movies. These $2$ movies were watched by $n$ people. For each person, we know their attitude towards the first movie (liked it, neutral, or disliked it) and towards the second movie. | |
| If a person is asked to leave a review for the movie, then: | |
| * if that person liked the movie, they will leave a positive review, and the movie's rating will increase by $1$; * if that person disliked the movie, they will leave a negative review, and the movie's rating will decrease by $1$; * otherwise, they will leave a neutral review, and the movie's rating will not change. | |
| Every person will review exactly one movie — and for every person, you can choose which movie they will review. | |
| The company's rating is the minimum of the ratings of the two movies. Your task is to calculate the maximum possible rating of the company. | |
| The first line contains a single integer $t$ ($1 \le t \le 10^4$) — the number of test cases. | |
| The first line of each test case contains a single integer $n$ ($1 \le n \le 2 \cdot 10^5$). | |
| The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($-1 \le a_i \le 1$), where $a_i$ is equal to $-1$ if the first movie was disliked by the $i$-th viewer; equal to $1$ if the first movie was liked; and $0$ if the attitude is neutral. | |
| The third line contains $n$ integers $b_1, b_2, \dots, b_n$ ($-1 \le b_i \le 1$), where $b_i$ is equal to $-1$ if the second movie was disliked by the $i$-th viewer; equal to $1$ if the second movie was liked; and $0$ if the attitude is neutral. | |
| Additional constraint on the input: the sum of $n$ over all test cases does not exceed $2 \cdot 10^5$. | |
| For each test case, print a single integer — the maximum possible rating of the company, if for each person, choose which movie to leave a review on. | |