B. Sum of sequences
time limit per test
1 second
memory limit per test
64 megabytes
input
stdin
output
stdout

You finished RIUSB ACBJSO university few years ago and started working hard and growing your carrier. At the some moment you tried to pass an interview at the XEDNAY company. You successfully answered all tricky questions about advanced algorithms and data structures and got the last one. Given two sequences A, B you need to find the following sum:

Input

Input contains three lines. First contains two numbers lengths of sequences |A|, |B|. Second and third line contains |A| and |B| numbers separated by spaces (1 ≤ |A|, |B| ≤ 105, 1 ≤ Ai, Bi ≤ 104).

Output

Single line containing answer to the task.

Examples
Input
5 4
3 4 5 4 4
1 2 3 4
Output
42