King of Karaoke

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 , and the standard version of the song can be considered as another integer sequence . The score is the number of integers  satisfying  and .

As a good tuner, DreamGrid can choose an integer  (can be positive, 0, or negative) as his tune and add  to every element in . 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 (about 100), indicating the number of test cases. For each test case:

The first line contains one integer  (), indicating the length of the sequences  and .

The second line contains  integers  (), indicating the song performed by DreamGrid.

The third line contains  integers  (), indicating the standard version of the song.

It's guaranteed that at most 5 test cases have .

Output

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

Sample Input

2
4
1 2 3 4
2 3 4 6
5
-5 -4 -3 -2 -1
5 4 3 2 1

Sample Output

3
1

Hint

For the first sample test case, DreamGrid can choose  and changes  to .

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

#include<cstdio>
#include<map>
#include<algorithm>
#include<iostream>
using namespace std;
const int maxn = 1e5+2;
int a[maxn],b[maxn];
int main()
{
    int t,n;
    cin>>t;
    map<int,int>mp;
    while(t--){
        mp.clear();
        cin>>n;
        for(int i = 0;i<n;i++){
            cin>>a[i];
        }
        for(int i = 0;i<n;i++){
            cin>>b[i];
        }
        for(int i = 0;i<n;i++){
            b[i] -= a[i];
            mp[b[i]]++;
        }
        for(int i = 0;i<n;i++){
            b[i] = mp[b[i]];
        }
        sort(b,b+n,greater<int>() );
        cout<<b[0]<<endl;
    }
}