Knapsack

Vasya is going to hike with fellow programmers and decided to take a responsible approach to the choice of what he will take with him. Vasya has $n$ things that he could take with him in his knapsack. Every thing weighs $1$ kilogram. Things have different "usefulness" for Vasya.

The hiking is going to be very long, so Vasya would like to carry a knapsack of weight no more than $w$ kilo.

Help him to determine the total "usefulness" of things in his knapsack if the weight of backpack can be no more than $w$ kilo.

Input

The first line contains integers $w$ и $n(1\le w,n\le 20)$. The second line contains $n$ integers $c_i(1\le c_i\le 1000)$ — the "usefulness" for each thing.

Output

Print the total "usefulness" of things that Vasya can take with him.

Examples