#include <bits/stdc++.h>
using namespace std;
int main() {
int t;
cin >> t;
while(t--)
{
int n,r=0;
cin >> n;
vector<int> v,p;
for(int i=0;i<n;i++)
{
int a;
cin >> a;
v.push_back(a);
}
for(int i=0;i<n;i++)
{
int b;
cin >> b;
p.push_back(b);
}
for(int i=0;i<n;i++)
{
if(v[i]>p[i])
{
r += v[i] - p[i];
}
}
cout << r++ << endl;
}
return 0;
}
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