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CodeforcesRound#227(Div.2)B.GeorgeandRound

George decided to prepare a Codesecrof round, so he has prepared m problems for the round. Let's number the problems with integers 1 through m . George estimates the i -th problem's complexity by integer b i . To make the round good , he n

George decided to prepare a Codesecrof round, so he has prepared m problems for the round. Let's number the problems with integers 1 through m . George estimates the i -th problem's complexity by integer b i .

To make the round good , he needs to put at least n problems there. Besides, he needs to have at least one problem with complexity exactly a 1 , at least one with complexity exactly a 2 , ..., and at least one with complexity exactly a n . Of course, the round can also have problems with other complexities.

George has a poor imagination. It's easier for him to make some already prepared problem simpler than to come up with a new one and prepare it. George is magnificent at simplifying problems. He can simplify any already prepared problem with complexity c to any positive integer complexity d ( c ?≥? d ), by changing limits on the input data.

However, nothing is so simple. George understood that even if he simplifies some problems, he can run out of problems for a good round. That's why he decided to find out the minimum number of problems he needs to come up with in addition to the m he's prepared in order to make a good round. Note that George can come up with a new problem of any complexity.

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