시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 128 MB32151548.387%

문제

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.

입력

Input file consists of six lines. Each line describes one pallet and contains two integer numbers $w$ and $h$ ($1 \le w, h \le 10\,000$) --- width and height of the pallet in millimeters respectively.

출력

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.

예제 입력 1

1345 2584
2584 683
2584 1345
683 1345
683 1345
2584 683

예제 출력 1

POSSIBLE

예제 입력 2

1234 4567
1234 4567
4567 4321
4322 4567
4321 1234
4321 1234

예제 출력 2

IMPOSSIBLE