### Problem Statement

A 2-dimensional digital picture has been received from a satellite as a String[]. The characters in each String are only '0' or '1' (zero or one). Some of the '1's are noise that should be filtered out. The filtering rule is that a '1' should be removed if it is not part of a cross pattern consisting of 5 '1's in the following configuration:

```     1
111
1
```

Write a class Filter that contains the method removable that takes a String[], picture, and returns the number of '1's that should be filtered out of picture.

### Definition

 Class: Filter Method: removable Parameters: String[] Returns: int Method signature: int removable(String[] picture) (be sure your method is public)

### Notes

-Cross patterns may overlap. (See example 2)

### Constraints

-picture contains between 1 and 50 elements, inclusive.
-each String in picture contains between 1 and 50 characters, inclusive.
-each String in picture has the same length.
-each String in picture contains only the characters '0' and '1' (zero and one).

### Examples

0)

 ```{"00110", "00110", "00110"}```
`Returns: 6`
 There are no cross patterns. All the '1's can be removed.
1)

 ```{"00110", "00111", "00110"}```
`Returns: 2`
 There is one cross pattern. 2 of the '1's can be removed.
2)

 ```{"00111", "01111", "00110"}```
`Returns: 1`
 There are two (overlapping) cross patterns. Only the 1 in the upper right corner is not in some cross.

#### Problem url:

http://www.topcoder.com/stat?c=problem_statement&pm=819

#### Problem stats url:

http://www.topcoder.com/tc?module=ProblemDetail&rd=4165&pm=819

dgoodman