The “Iset” tower owners want to amaze guests invited to the opening ceremony. They decided to send out some unusual postcards, so lots of triangular postcards and envelopes were ordered at a local print shop. These postcards and envelopes vary in size and shape, and the “Iset” office workers are now working hard to sort all the postcards into matching envelopes. They tried to do this in a very simple way: a worker took one postcard and one envelope from the heap, and then checked if they matched each other. If he couldn't put the card into the envelope, he just picked another pair, checked again, and so on.

Eventually the head of the office realized they weren't going to send out all the cards in time if they kept sorting the cards manually. He handed out scanners, so his employees could scan cards and envelopes and use some special software to automatically detect whether the pair matched and how the card should have been placed into the envelope.

You are to help these poor office workers. Write a program that, given the sizes of the card and the envelope (i.e., lengths of two triangles' sides), decides whether the card can be fitted into the envelope.

The first line of input contains 3 integers — lengths of the envelope's edges, in millimeters. The second line contains another 3 integers for the postcard's edges; format is the same. All the edge's lengths never exceed 1 meter. After the postcard is placed inside, the envelope is sealed at 2 edges.

Output “YES” if the card fits into the envelope. Output “NO” otherwise.