Problem Description

It’s Karaoke time! DreamGrid is performing the song Powder Snow in the game King of Karaoke. The song performed by DreamGrid can be considered as an integer sequence $D_1,D_2,…,D_n$, and the standard version of the song can be considered as another integer sequence $S_1,S_2,…,S_n$. The score is the number of integers $i$ satisfying $1≤i≤n$ and $S_i=D_i$.

As a good tuner, DreamGrid can choose an integer $K$ (can be positive, 0, or negative) as his tune and add $K$ to every element in $D$. Can you help him maximize his score by choosing a proper tune?

Input

There are multiple test cases. The first line of the input contains an integer $T$ (about 100), indicating the number of test cases. For each test case:

The first line contains one integer $n$ ($1≤n≤10^5$), indicating the length of the sequences $D$ and $S$.

The second line contains $n$ integers $D_1,D_2,…,D_n$ ($−10^5≤D_i≤10^5$), indicating the song performed by DreamGrid.

The third line contains $n$ integers $S_1,S_2,…,S_n$ ($−10^5≤S_i≤10^5$), indicating the standard version of the song.

It’s guaranteed that at most 5 test cases have $n>100$.

Output

For each test case output one line containing one integer, indicating the maximum possible score.

Sample Input

PLAINTEXT

1
2
3
4
5
6
7

Sample Output

PLAINTEXT

1
2

Hint

For the first sample test case, DreamGrid can choose $K=1$ and changes $D$ to 2,3,4,52,3,4,5.

For the second sample test case, no matter which $K$ DreamGrid chooses, he can only get at most 1 match.

Analysis

The point of this problem is to find the most appearance of$s[i]−d[i]$. Because if $s[i]−d[i]$ is 1 1 2 3 4, there are two numbers are the same. After adding K(if k = 1), the array is 2 2 3 4 5, also two numbers are the same.

So k is equal to $s[i]−d[i]$, where $s[i]−d[i]$ appears most.

I use map to store the occurrences of each difference. <difference, occurrence> Then using iterator to find the biggest occurrences.

Code

C++

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21

Author: o_oyao

Link: http://dyingdown.github.io/2020/10/03/%E6%B5%99%E6%B1%9F%E7%9C%81%E8%B5%9B-King-of-Karaoke-ZOJ-4025/

License: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.