Given a *2D Array*, :

```
1 1 1 0 0 0
0 1 0 0 0 0
1 1 1 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
```

An hourglass in is a subset of values with indices falling in this pattern in 's graphical representation:

```
a b c
d
e f g
```

There are hourglasses in . An *hourglass sum* is the sum of an hourglass' values. Calculate the hourglass sum for every hourglass in , then print the *maximum* hourglass sum. The array will always be .

**Example**

```
-9 -9 -9 1 1 1
0 -9 0 4 3 2
-9 -9 -9 1 2 3
0 0 8 6 6 0
0 0 0 -2 0 0
0 0 1 2 4 0
```

The hourglass sums are:

```
-63, -34, -9, 12,
-10, 0, 28, 23,
-27, -11, -2, 10,
9, 17, 25, 18
```

The highest hourglass sum is from the hourglass beginning at row , column :

```
0 4 3
1
8 6 6
```

**Note:** If you have already solved the Java domain's *Java 2D Array* challenge, you may wish to skip this challenge.

**Function Description**

Complete the function *hourglassSum* in the editor below.

hourglassSum has the following parameter(s):

*int arr[6][6]*: an array of integers

**Returns**

*int:*the maximum hourglass sum

**Input Format**

Each of the lines of inputs contains space-separated integers .

**Constraints**

**Output Format**

Print the largest (maximum) hourglass sum found in .

**Sample Input**

```
1 1 1 0 0 0
0 1 0 0 0 0
1 1 1 0 0 0
0 0 2 4 4 0
0 0 0 2 0 0
0 0 1 2 4 0
```

**Sample Output**

```
19
```

**Explanation**

contains the following hourglasses:

The hourglass with the maximum sum () is:

```
2 4 4
2
1 2 4
```