2458：Rigging the Bovine Election

It's election time. The farm is partitioned into a 5x5 grid of cow locations, each of which holds either a Holstein ('H') or Jersey ('J') cow. The Jerseys want to create a voting district of 7 contiguous (vertically or horizontally) cow locations such that the Jerseys outnumber the Holsteins. How many ways can this be done for the supplied grid?

* Lines 1..5: Each of the five lines contains five characters per line, each 'H' or 'J'. No spaces are present.

* Line 1: The number of distinct districts of 7 connected cows such that the Jerseys outnumber the Holsteins in the district.

OUTPUT DETAILS:
The two possible districts are:

.....                .....

JHJHJ                JHJHJ

....H       and      .H...

....J                .J...

.....                .....

Any other possible district with seven cows has fewer than 4 Jerseys.