Sally wants all apples!

Sally loves apples, thus, she has an apple garden in her backyard, where she has grown 2525 apples in the shape of a square of side 55. She is standing in the center of the garden, i.e. 3rd3^{\text{rd}} row and 3rd3^{\text{rd}} column. Now, she wants to move through the garden eating apple in every square, and she won't move into square without any apple. How many ways are there in which she can eat all the 2525 apples?

Example:

If it were a 3×33\times 3 garden, and Sally would have started from center, i.e. (2,2)2,2) there would be 88 solutions as follows

1. (2,2),(3,2),(3,3),(2,3),(1,3),(1,2),(1,1),(2,1),(3,1)1.\ (2,2),(3,2),(3,3),(2,3),(1,3),(1,2),(1,1),(2,1),(3,1) 2. (2,2),(3,2),(3,1),(2,1),(1,1),(1,2),(1,3),(2,3),(3,3)2.\ (2,2),(3,2),(3,1),(2,1),(1,1),(1,2),(1,3),(2,3),(3,3) 3. (2,2),(2,3),(3,3),(3,2),(3,1),(2,1),(1,1),(1,2),(1,3)3.\ (2,2),(2,3),(3,3),(3,2),(3,1),(2,1),(1,1),(1,2),(1,3) 4. (2,2),(2,3),(1,3),(1,2),(1,1),(2,1),(3,1),(3,2),(3,3)4.\ (2,2),(2,3),(1,3),(1,2),(1,1),(2,1),(3,1),(3,2),(3,3) 5. (2,2),(1,2),(1,3),(2,3),(3,3),(3,2),(3,1),(2,1),(1,1)5.\ (2,2),(1,2),(1,3),(2,3),(3,3),(3,2),(3,1),(2,1),(1,1) 6. (2,2),(1,2),(1,1),(2,1),(3,1),(3,2),(3,3),(2,3),(1,3)6.\ (2,2),(1,2),(1,1),(2,1),(3,1),(3,2),(3,3),(2,3),(1,3) 7. (2,2),(2,1),(1,1),(3,2),(3,3),(2,3),(1,3),(1,2),(1,1)7.\ (2,2),(2,1),(1,1),(3,2),(3,3),(2,3),(1,3),(1,2),(1,1) 8. (2,2),(2,1),(1,1),(1,2),(1,3),(2,3),(3,3),(3,2),(3,1)8.\ (2,2),(2,1),(1,1),(1,2),(1,3),(2,3),(3,3),(3,2),(3,1)

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