Bank

$N$ people came to a bank to collect their salaries. Person $i$ is owed $a_i$ tenge. The bank has $M$ banknotes left, and banknote $j$ is worth $b_j$ tenge.

A banknote cannot be split, and each banknote goes to at most one person. Decide whether the bank can hand every person an amount equal to that person's salary. Banknotes may be left unused.

The first line contains the number of people $N$ and the number of banknotes $M$ ($1 \le N \le 15$, $1 \le M \le 15$).

The second line contains the salaries $a_1, a_2, \dots, a_N$ ($1 \le a_i \le 1000$).

The third line contains the banknote values $b_1, b_2, \dots, b_M$ ($1 \le b_j \le 1000$).

Print YES if the bank can pay every salary exactly. Otherwise print NO.