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.
输入描述:
The first line contains two integers n and m (1 ≤ n, m ≤ 3000) — the minimal number of problems in a good round and the number of problems George's prepared. The second line contains space-separated integers a1, a2, ..., an (1 ≤ a1 a2 an ≤ 106) — the requirements for the complexity of the problems in a good round. The third line contains space-separated integers b1, b2, ..., bm (1 ≤ b1 ≤ b2... ≤ bm ≤ 106) — the complexities of the problems prepared by George.
输出描述:
Print a single integer — the answer to the problem.
示例1
输入
3 5<br />1 2 3<br />1 2 2 3 3<br />3 5<br />1 2 3<br />1 1 1 1 1<br />3 1<br />2 3 4<br />1<br />
备注:
In the first sample the set of the prepared problems meets the requirements for a good round.In the second sample, it is enough to come up with and prepare two problems with complexities 2 and 3 to get a good round.In the third sample it is very easy to get a good round if come up with and prepare extra problems with complexities: 2, 3, 4.
加载中...