Description

In linear algebra and computational geometry, vector dot product is a very important operation.
Given two $n$-dimensional vectors $\vec{a}=(a_1,a_2,a_3,...,a_n)$ and $\vec{b}=(b_1,b_2,b_3,...,b_n)$, calculate their dot product $\vec{a}×\vec{b}=a_1b_1+a_2b_2+a_3b_3+...+a_nb_n$.

Input Format

The first line contains an integer $n$ ($1≤n≤1000$);
The second line contains $n$ integers;
The third line contains $n$ integers;
Adjacent integers are separated by a single space. The absolute value of each integer does not exceed $1000$.

Output Format

Output the vector dot product.

Sample

7
7 8 9 4 8 7 8
3 7 4 7 9 9 7

332