Dot Product of Two Vectors

Given two vectors of length $n$, compute their dot product. For vectors $\mathbf{a}=(a_1, a_2, \cdots, a_n)$ and $\mathbf{b}=(b_1, b_2, \cdots, b_n)$, the dot product is defined as $$a_1b_1 + a_2b_2 + \cdots + a_nb_n.$$

Calculate the sum of the products of corresponding elements of the two vectors.

inputFormat

The first line contains an integer $n$ denoting the length of the vectors.
The second line contains $n$ integers representing the vector $\mathbf{a}$.
The third line contains $n$ integers representing the vector $\mathbf{b}$.

outputFormat

Output a single integer — the dot product of the given two vectors.

sample

3
1 2 3
4 5 6

32