You cannot submit for this problem because the contest is ended. You can click "Open in Problem Set" to view this problem in normal mode.

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