A carpenter has three wooden beams of
different lengths. He wonders whether he can make a triangular frame
without sawing the beams.

This will only be possible if *triangle
inequality* applies to every one of the beams. For three sides
$$x$$, $$y$$ and $$z$$ of the triangle this inequality states that $$x + y >
z$$. In other words, a straight line is always the shortest distance
between two points.

Triangle inequality states that the shortest distance between 2 points is a straight line.
### Input

The lengths of the wooden beams. These are
real numbers that are each on a separate line. The numbers aren't
necessarily ranked from smallest to largest.

### Output

The statement "`possible`"
or "`impossible`", depending on
the possibility of forming a triangle with three beams.

### Example

**Input:**

1.5
1.5
3.0

**Output:**

impossible

### Example

**Input:**

4.0
6.0
5.0

**Output:**

possible