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The Extra Problem
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Continue the sequence,

0, -1, -1, 1, 1, 0, -1, 1, -1, -1, 2, 1, -1, 1, -3, -2, 5,__,__
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The Solution:
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This one was so hard, but after I gave the hint it became so easy. However, I gave whoever solved it two stars.
It is hard to realize the sequence, but if you multiplied the first number with the third one and then subtracted the multiplication of the second and the fourth number, you would get the fifth number.
For example:
(0 x (-1)) - (-1 x 1) = 1
(-1x (1)) - (-1 x 1) = 0
(-1 x (1)) - (1 x 0) = -1
(1 x 0) - (1 x (-1)) = 1
(1 x (-1)) - (0 x 1) = -1
               .
               .
               .
(-1 x (-3)) - (1 x (-2)) = 5
(1 x (-2)) - (-3 x 5) = 13
(-3 x 5) - (-2 x 13) = 11

=> the answer is 13, 11

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