You have n gifts and you want to give all of them to children. Of course, you don't want to offend anyone, so all gifts should be equal between each other. The i -th gift consists of \(a_i\)candies and \(b_i\)oranges.

During one move, you can choose some gift 1≤i≤n and do one of the following operations:

• eat exactly one candy from this gift (decrease ai by one);
• eat exactly one orange from this gift (decrease bi by one);
• eat exactly one candy and exactly one orange from this gift (decrease both ai and bi by one).

Of course, you can not eat a candy or orange if it's not present in the gift (so neither ai nor bi can become less than zero).

As said above, all gifts should be equal. This means that after some sequence of moves the following two conditions should be satisfied: a1=a2=⋯=an and b1=b2=⋯=bn(and ai equals bi is not necessary).

Your task is to find the minimum number of moves required to equalize all the given gifts.

You have to answer t independent test cases.

Input

~~

Output

For each test case, print one integer: the minimum number of moves required to equalize all the given gifts.

Example

Input

Copy

5
3
3 5 6
3 2 3
5
1 2 3 4 5
5 4 3 2 1
3
1 1 1
2 2 2
6
1 1000000000 1000000000 1000000000 1000000000 1000000000
1 1 1 1 1 1
3
10 12 8
7 5 4

Output

Copy

6
16
0
4999999995
7

所有的a要降低到初始的a裡面最小的那個值，b同理。因此遍歷每個gift，用max(a[i] - mina, b[i] - minb)更新答案即可（假設ai降到mina需要操作5次，bi降到minb要操作4次，那麼b的四次完全可以包含在5次裡，總共5次即可）。

#include <bits/stdc++.h>
using namespace std;
int a[55], b[55], n;
int main()
{
	int t;
	cin >> t;
	while(t--)
	{
		cin >> n;
		int mina = 0x3f3f3f3f, minb = 0x3f3f3f3f;
		long long ans = 0;
		for(int i = 1; i <= n; i++)
		{
			cin >> a[i];
			mina = min(mina, a[i]);
		}	
		for(int i = 1; i <= n; i++)
		{
			cin >> b[i];
			minb = min(minb, b[i]);
		}
		for(int i = 1; i <= n; i++)
		{
			ans += 1ll * max(a[i] - mina, b[i] - minb);
		}
		cout << ans << endl;
	}
	return 0;
}