Box

No attempts yetTime limit2sMemory limit128 MB

Problem

Ivan works at a factory that produces heavy machinery. He has a simple job: he knocks together wooden boxes of different sizes to pack machinery for delivery to customers. Each box is a rectangular parallelepiped. Ivan uses six rectangular wooden pallets to make a box, one pallet for each side.

Joe delivers pallets to Ivan. Joe is not very smart and often makes mistakes, bringing pallets that do not fit together into a box. But Joe does not trust Ivan, and it always takes a long time to convince 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 to his advantage. He asks you to write a program that, given the sizes of six rectangular pallets, decides whether it is possible to make a box out of them.

A pallet may be placed in either orientation, so its width and height can be swapped.

Input

The input consists of six lines. Each line describes one pallet and contains two integers ww and hh (1w,h100001 \le w, h \le 10\,000): the width and the height of the pallet in millimeters.

Output

Print a single word POSSIBLE if it is possible to build a box using the six given pallets as its sides, or IMPOSSIBLE if it is not.