Good pairs

Two arrays А and B with $n$ integers are given. Pair of indexes $i$ and $j(i<j)$ are good, if $a_i+a_j>b_i+b_j$.

Find the number of pairs of good indexes.

Input

First line contains number $n(n\le 10^5)$. Second line contains $n$ integers of array А. Third line contains $n$ integers of array B.

Output

Print the number of pairs of good indexes.

Examples