You are allowed to follow a path on the 4-by-4 array of numbers below, starting on any number, and taking upward and downward steps, as well as steps to the left and to the right, along the way....

Extracted text: You are allowed to follow a path on the 4-by-4 array of numbers below, starting on any number, and taking upward and downward steps, as well as steps to the left and to the right, along the way. However, you are not allowed to go diagonally, nor are you allowed to go to the same position twice. How many different ways can you get the sum of the numbers to add up to 10 by following a path on the array? | 3 1 1|3 1 4 4 1 1 441 3 11|3