You have taken the graduation picture of graduates. The picture could be regarded as a
matrix A of

, each element in A is 0 or 1, representing a blank background or a student, respectively.
However, teachers are too busy to take photos with students and only took a group photo themselves. The photo could be regarded as a
matrix B of

where each element is 2 representing a teacher.
As a master of photoshop, your job is to put photo B into photo A with the following constraints:
- you are not allowed to split, rotate or scale the picture, but only translation.
- each element in matrix B should overlap with an element in A completely, and each teacher should overlap with a blank background, not shelter from a student.
Please calculate the possible ways that you can put photo B into photo A.