|
Ivan works at a factory that produces heavy machinery. He has a simple job - he knocks up wooden
boxes of different sizes to pack machinery for delivery to the customers. Each box is a rectangular
parallelepiped. Ivan uses six rectangular wooden pallets to make a box. Each pallet is used for one side
of the box.
Joe delivers pallets for Ivan. Joe is not very smart and often makes mistakes - he brings Ivan pallets
that do not fit together to make a box. But Joe does not trust Ivan. It always takes a lot of time to
explain Joe that he has made a mistake.
Fortunately, Joe adores everything related to computers and sincerely believes that computers never
make mistakes. Ivan has decided to use this for his own advantage. Ivan asks you to write a program
that given sizes of six rectangular pallets tells whether it is possible to make a box out of them.
Input
Input file consists of six lines. Each line describes one pallet and contains two integer numbers w and h
(1 <= w, h <= 10000) - width and height of the pallet in millimeters respectively.
Output
Write a single word "POSSIBLE" to the output file if it is possible to make a box using six given pallets
for its sides. Write a single word "IMPOSSIBLE" if it is not possible to do so.
Samples
| Input | Output |
|---|
1345 2584
2584 683
2584 1345
683 1345
683 1345
2584 683 | POSSIBLE |
1234 4567
1234 4567
4567 4321
4322 4567
4321 1234
4321 1234 | IMPOSSIBLE |
| 