The war of virtual world will fight again. In order to prepare better for the war, the federal headquarters decided to conduct a military exercise. Commander AC as Red while yayamao play the Blues!
The rules of the exercise is very special. There are N different laser emission point(we ensure that does not exist any three points are collinear).First AC arbitrarily select two different laser emission points a, b and connect them, then yayamao select two different points from the n-2 laser emission points and connect them.
AC has n(n-1)/2 kinds of options to select a, b. For the i-th selection, assume yayamao has Ki kinds of options to select c, d to make ab and cd intersect.
In order to know the exercise is successful or not, the headquarters defines the value of exercise evaluation formula:
Fib(0) = Fib(1) = 1
Fib(n) = Fib(n-1)+Fib(n-2)