Problem 55360. Magical Land
Mother Earth has gifted humanity a magical land to help all life on earth, in the shape of a n-sided regular polygon.
You, being a good samaritan has volunteered to help.
The land has directional properties, and is to be divided accordingly. The magical properties can only be utilized if the following conditions are met -
- All divided parts must be quadrilaterals.
- Exactly (n/2-1) people should have the access to the land. One part (quadrilateral) per person.
There are 3 ways of dividing -
So, Given n, return, in how many ways the land can be divided according to the conditions.
note - n will be an even natural number.
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