Farmer John's $N$ ($1 \leq N \leq 5 \cdot 10^5$) cows are standing in a line, with cow $1$ at the front of the line and cow $N$ at the back of the line. FJ's cows also come in many different species. He denotes each species with an integer from $1$ to $N$. The $i$'th cow from the front of the line is of species $a_i$ ($1 \leq a_i \leq N$).
FJ is taking his cows to a checkup at a local bovine hospital. However, the bovine veterinarian is very picky and wants to perform a checkup on the $i$'th cow in the line, only if it is species $b_i$ ($1 \leq b_i \leq N$).
FJ is lazy and does not want to completely reorder his cows. He will perform the following operation exactly once.
FJ wants to measure how effective this approach is. Find the sum of the number of cows that are checked by the veterinarian over all $N(N+1)/2$ possible operations.
The first line contains an integer $N$.
The second line contains $a_1, a_2, \ldots, a_N$.
The third line contains $b_1, b_2, \ldots, b_N$.
Output one line with the sum of the number of cows that are checked by the veterinarian over all possible operations.