Mimi is taking both art and computer science this semester! Inspired, she decides to make an art piece based on the binary representation of two positive integers, and .

Mimi takes a strip of paper, and draws stripes on it. The stripe is blue if appears in the binary representation of either or , **but not both**. Otherwise, it is painted purple.

Can you tell Mimi how many blue and purple stripes there are?

#### Constraints

#### Input Specification

The first and only line of input will contain 3 space separated integers: , , and .

#### Output Specification

The output should contain two space-separated integers: the number of stripes that are painted blue, and the number of stripes that are painted purple, respectively.

#### Sample Input

`3 1 2`

#### Sample Output

`1 1`

#### Explanation for Sample Output

The binary representation of is , and the binary representation of is .

Both representations have , so the first stripe is painted purple.

Since only has in its binary representation, the second stripe is painted blue.

## Comments