RCPC Simulare 2023 day 2 | C. Basketball

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 data

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

Output data

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.

Example 1

stdin

11

stdout

1 3

Example 2

stdin

33

stdout

0 11