White Rabbit wants to buy some drinks from White Cloud.
There are n kinds of drinks, and the price of i-th drink is p[i] yuan per bottle.
Since White Cloud is a good friend of White Rabbit, when White Rabbit buys a bottle of i-th drink, White Rabbit can choose only one of the following two discounts :
1.White Rabbit can get a d[i](d[i]<=p[i]) yuan discount. Specifically, White Rabbit only need to pay p[i]-d[i] yuan.
2.White Rabbit can buy a bottle of f[i]-th drink for free(than bonus drink can't use any discount).
White Rabbit wants to have at least a bottle of i-th drink for each i between 1 to n. You need to tell White Rabbit what is the minimal cost.

The first line of input contains an integer n(n<=100000)
In the next line,there are n integers p[1..n] in range [0,1000000000].
In the next line,there are n integers d[1..n] in range [0,1000000000].(d[i]<=p[i])
In the next line,there are n integers f[1..n] in range [1,n].

Print the minimum cost.

3
10 3 5
5 0 5
1 3 2

8