HackerRank solution in Java || Data structure problem || Hourglass problem of 2-D array

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Let We have a 2-D Array of size 6×6.The hourglass of array is of a particular form which we will explained later in this post.For example consider the array below:

                                                            1     5    7   8   9    9
 
                                                            7     8    9   9   9    0
                                                         
                                                             8    4    2   8    0    1

                                                             5    7    7   2    4    2
                                                           
                                                             7    3    1   9    7    0


The hour glass of an array will be of the form below:

a   b   c
     d
e   f   g

That means in the matrix we have total 16 hourglass,4 horizentally and 4 vertically.

In this problem we have to find the sum of the hourglass which have the maximum sum among other hourglasses.

Solution : 

public class Solution {

// The hourglass sum

static int Sum(int[][] a) {

int max = -1000; // As sum sum can be negative

for(int i=0;i<4;i++) // Because there are 4 hourglass horizontally

{

for(int j=0;j<4;j++) // Because there are 4 hourglass vertically

{

if((a[i][j]+a[i][j+1]+a[i][j+2]

+a[i+1][j+1]+a[i+2][j]+a[i+2][j+1]+a[i+2][j+2])>max)

max=a[i][j]+a[i][j+1]+a[i][j+2]+a[i+1][j+1]

+a[i+2][j]+a[i+2][j+1]+a[i+2][j+2];

}

}

return max;

}

Here I given only the function which will calculate the maximum hourglass sum.
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