CF8A Train and Peter

Peter likes to travel by train. He likes it so much that on the train he falls asleep. Once in summer Peter was going by train from city A to city B, and as usual, was sleeping. Then he woke up, started to look through the window and noticed that every railway station has a flag of a particular colour. The boy started to memorize the order of the flags' colours that he had seen. But soon he fell asleep again. Unfortunately, he didn't sleep long, he woke up and went on memorizing the colours. Then he fell asleep again, and that time he slept till the end of the journey. At the station he told his parents about what he was doing, and wrote two sequences of the colours that he had seen before and after his sleep, respectively. Peter's parents know that their son likes to fantasize. They give you the list of the flags' colours at the stations that the train passes sequentially on the way from A to B, and ask you to find out if Peter could see those sequences on the way from A to B, or from B to A. Remember, please, that Peter had two periods of wakefulness. Peter's parents put lowercase Latin letters for colours. The same letter stands for the same colour, different letters — for different colours.

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It is assumed that the train moves all the time, so one flag cannot be seen twice. There are no flags at stations A and B.