#D9467. Olympiad

    ID: 7869 Type: Default 1000ms 256MiB

Olympiad

Olympiad

The recent All-Berland Olympiad in Informatics featured n participants with each scoring a certain amount of points.

As the head of the programming committee, you are to determine the set of participants to be awarded with diplomas with respect to the following criteria:

  • At least one participant should get a diploma.
  • None of those with score equal to zero should get awarded.
  • When someone is awarded, all participants with score not less than his score should also be awarded.

Determine the number of ways to choose a subset of participants that will receive the diplomas.

Input

The first line contains a single integer n (1 ≤ n ≤ 100) — the number of participants.

The next line contains a sequence of n integers a1, a2, ..., an (0 ≤ ai ≤ 600) — participants' scores.

It's guaranteed that at least one participant has non-zero score.

Output

Print a single integer — the desired number of ways.

Examples

Input

4 1 3 3 2

Output

3

Input

3 1 1 1

Output

1

Input

4 42 0 0 42

Output

1

Note

There are three ways to choose a subset in sample case one.

  1. Only participants with 3 points will get diplomas.
  2. Participants with 2 or 3 points will get diplomas.
  3. Everyone will get a diploma!

The only option in sample case two is to award everyone.

Note that in sample case three participants with zero scores cannot get anything.

inputFormat

Input

The first line contains a single integer n (1 ≤ n ≤ 100) — the number of participants.

The next line contains a sequence of n integers a1, a2, ..., an (0 ≤ ai ≤ 600) — participants' scores.

It's guaranteed that at least one participant has non-zero score.

outputFormat

Output

Print a single integer — the desired number of ways.

Examples

Input

4 1 3 3 2

Output

3

Input

3 1 1 1

Output

1

Input

4 42 0 0 42

Output

1

Note

There are three ways to choose a subset in sample case one.

  1. Only participants with 3 points will get diplomas.
  2. Participants with 2 or 3 points will get diplomas.
  3. Everyone will get a diploma!

The only option in sample case two is to award everyone.

Note that in sample case three participants with zero scores cannot get anything.

样例

4
42 0 0 42
1

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