t= int(input())
for i in range(t):
    n=int(input())
    count=0
    arr=list(map(int,input().split()))
    arr1=list(map(int,input().split()))
    for j in range(n):
        if(arr[j]<arr1[j]):
            count=count+(arr1[j]-arr[j])
    print(count)