You are given an even number of people numPeople that stand around a circle and each person shakes hands with someone else so that there are numPeople / 2 handshakes total.
Return the number of ways these handshakes could occur such that none of the handshakes cross.
Since the answer could be very large, return it modulo 10⁹ + 7.
Example 1:
Input: numPeople = 4
Output: 2Explanation:
There are two ways to do it, the first way is [(1,2),(3,4)] and the second one is [(2,3),(4,1)].
Example 2:
Input: numPeople = 6
Output: 5Constraints:
2 <= numPeople <= 1000numPeople is even.