C. Basketball
time limit per test
1 с
memory limit per test
256 МБ
input
standard input
output
standard output

Andrei is taking basketball throws. He wants to score $$$n$$$ points.

As he doesn't have a lot of time, he wants to reach $$$n$$$ points from as few throws as possible. As you know, in basketball we can score using throws which get either $$$2$$$ or $$$3$$$ points.

If Andrei can't reach $$$n$$$ points, we should print 'No' (exactly as it is written). Otherwise, we will print two integers $$$a$$$ and $$$b$$$, which represent the minimum number of two point, respectively three point throws Andrei is going to use.

Input

The first line will contain a single integer, $$$n$$$ ($$$1 \leq n \leq 10^9$$$), representing the amount of points Andrei scored.

Output

The first and the only line of the output will either contain two integers, $$$a$$$ and $$$b$$$, or otherwise the message 'No' if he cannot reach $$$n$$$ points.

Examples
Input
11
Output
1 3
Input
33
Output
0 11