#Context 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 We define an hourglass in to be 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 , and an hourglass sum is the sum of an hourglass' values.

Task Calculate the hourglass sum for every hourglass in , then print the maximum hourglass sum.

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

Input Format

There are lines of input, where each line contains space-separated integers describing 2D Array ; every value in will be in the inclusive range of to .

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:

1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0

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

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

0 0 2 0 2 4 2 4 4 4 4 0 0 0 2 0 0 0 1 0 1 2 1 2 4 2 4 0 The hourglass with the maximum sum () is:

2 4 4 2 1 2 4