What does it mean for two objects to
collide? This is an import question in many applications, which cannot
always be answered easily by a computer program. If two planar objects
overlap, this is called a collision. You should not take this too
literally and immediately think about two cars that crashed against each
other. Collision detection can be used for example to determine whether
one region is contained within another region on a map, or to analyse
images.

The continental states of the US together with their respective* axis-aligned bounding box*.
For this exercise, we consider the simplest
form of collision detection. In this, each object is represented by its *axis-aligned bounding box*. This is the
smallest rectangle that contains the entire object and has edges parallel
to the $$X$$- and $$Y$$-axis. We say that two objects collide if their
bounding boxes overlap.

### Input

The input contains eight integers (each on a
separate line) that represent two diametrical points of two rectangles.
Each point is described by two consecutive integers, with the first being
the $$x$$ co-ordinate and the second the $$y$$ co-ordinate. The rectangles are
real rectangles and are not degenerate as a line segment or a point.

### Output

There is only one single line of output.
This line contains the text `collision`
if the two given rectangles overlap, and the text `no
collision` if the two rectangles do not overlap. Note: touching
rectangles do not overlap!

### Example

**Input:**

0

0

1

2

4

1

5

5

**Output:**

no collision

### Example

**Input:**

0

0

2

3

1

2

5

5

**Output:**

collision